Finite Group Databasebeta

← #31764452

Subgroups — #31764452

Order 17152.

8042 conjugacy classes of subgroups.

The subgroup lattice has 2682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574519C212yesmaximal, complemented
2#22574518C214yesmaximal, complemented
3#22574511C212yesmaximal, complemented
4#22574445C212yesmaximal, complemented
5#22574441C212yesmaximal, complemented
6#22574433C212yesmaximal, complemented
7#22574425C212yesmaximal, complemented
8#22574404C212yesmaximal, complemented
9#22574400C212yesmaximal, complemented
10#22574386C214yesmaximal, complemented
11#22574243C212yesmaximal, complemented
12#22574237C214yesmaximal, complemented
13#22574229C212yesmaximal, complemented
14#22574050C211yesmaximal, characteristic, complemented
15#22574039C212yesmaximal, complemented
16#22573973C211yesmaximal, characteristic, complemented
17#22573970C212yesmaximal, complemented
18#22573966C211yesmaximal, characteristic, complemented
19#22573940C212yesmaximal, complemented
20#22573932C212yesmaximal, complemented
21#22573909C212yesmaximal, complemented
22#22573893C214yesmaximal, complemented
23#22573875C212yesmaximal, complemented
24#22573870C212yesmaximal, complemented
25#22573845C212yesmaximal, complemented
26#22573841C212yesmaximal, complemented
27#22573839C212yesmaximal, complemented
28C2×#16863909C211yesmaximal, characteristic, complemented
29C2×#16863905C211yesmaximal, characteristic, complemented
30C2×#121×D67C211yesmaximal, characteristic, complemented
31C67×#3505C211yesmaximal, characteristic, complemented
32C2×#14524089C2212yescomplemented
33C2×#14524088C2212yescomplemented
34C2×#14524088C2212yescomplemented
35C22×#11761629C2211yescharacteristic, complemented
36C22×#11761628C2211yescharacteristic, complemented
37C22×D4×D67C2211yescharacteristic, complemented
38C22×D4×D67C2212yescomplemented
39C23×C4×D67C2211yescharacteristic, complemented
40#16864144C2214yescomplemented
41#16864143C2214yescomplemented
42#16864142C2214yescomplemented
43#16864140C2214yescomplemented
44#16864137C2214yescomplemented
45#16864137C2214yescomplemented
46#16864136C2214yescomplemented
47#16864134C2214yescomplemented
48#16864111C2212yescomplemented
49#16864109C2214yescomplemented
50#16864109C2212yescomplemented
51#16864106C2212yescomplemented
52#16864104C2212yescomplemented
53#16864102C2214yescomplemented
54#16864099C2212yescomplemented
55#16864099C2212yescomplemented
56#16864098C2212yescomplemented
57#16864097C2214yescomplemented
58#16864097C2214yescomplemented
59#16864095C2214yescomplemented
60#16864095C2214yescomplemented
61#16864094C2214yescomplemented
62#16864094C2212yescomplemented
63#16864092C2214yescomplemented
64#16864090C2212yescomplemented
65#16864088C2212yescomplemented
66#16864079C2214yescomplemented
67#16864073C2214yescomplemented
68#16864072C2214yescomplemented
69#16864071C2214yescomplemented
70#16864071C2214yescomplemented
71#16864070C2214yescomplemented
72#16864070C2214yescomplemented
73#16864069C2214yescomplemented
74#16864068C2212yescomplemented
75#16864067C2214yescomplemented
76#16864065C2212yescomplemented
77#16864057C2212yescomplemented
78#16864055C2214yescomplemented
79#16864050C2212yescomplemented
80#16864050C2212yescomplemented
81#16864047C2212yescomplemented
82#16864046C2212yescomplemented
83#16864044C2214yescomplemented
84#16864044C2214yescomplemented
85#16864042C2214yescomplemented
86#16864041C2214yescomplemented
87#16864041C2214yescomplemented
88#16864041C2214yescomplemented
89#16864041C2214yescomplemented
90#16864041C2214yescomplemented
91#16864041C2214yescomplemented
92#16864039C2212yescomplemented
93#16864039C2214yescomplemented
94#16864039C2212yescomplemented
95#16864038C2214yescomplemented
96#16864038C2214yescomplemented
97#16864038C2214yescomplemented
98#16864038C2214yescomplemented
99#16864038C2214yescomplemented
100#16864038C2214yescomplemented
101#16864038C2214yescomplemented
102#16864037C2212yescomplemented
103#16864037C2214yescomplemented
104#16864037C2212yescomplemented
105#16864036C2214yescomplemented
106#16864036C2214yescomplemented
107#16864035C2214yescomplemented
108#16864035C2214yescomplemented
109#16864035C2214yescomplemented
110#16864034C2212yescomplemented
111#16864033C2214yescomplemented
112#16864033C2214yescomplemented
113D4×D268C2212yescomplemented
114D4×D268C2212yescomplemented
115D4×D268C2214yescomplemented
116D4×D268C2214yescomplemented
117D4×D268C2214yescomplemented
118D4×D268C2214yescomplemented
119D4×D268C2212yescomplemented
120#16864030C2212yescomplemented
121#16864030C2212yescomplemented
122#16864030C2214yescomplemented
123#16864030C2214yescomplemented
124#16864030C2214yescomplemented
125D4×C22⋊D67C2212yescomplemented
126#16864028C2214yescomplemented
127#16864028C2214yescomplemented
128#16864028C2214yescomplemented
129#16864028C2214yescomplemented
130#16864026C2212yescomplemented
131#16864021C2214yescomplemented
132#16864018C2212yescomplemented
133#16864015C2212yescomplemented
134#16864012C2214yescomplemented
135#16864002C2214yescomplemented
136#16864002C2212yescomplemented
137#16864001C2214yescomplemented
138#16863999C2214yescomplemented
139#16863998C2214yescomplemented
140#16863998C2214yescomplemented
141#16863997C2212yescomplemented
142#16863995C2212yescomplemented
143#16863994C2214yescomplemented
144#16863988C2214yescomplemented
145#16863987C2214yescomplemented
146#16863986C2212yescomplemented
147#16863985C2214yescomplemented
148#16863985C2214yescomplemented
149#16863985C2214yescomplemented
150#16863985C2214yescomplemented
151#16863982C2214yescomplemented
152#16863982C2214yescomplemented
153#16863980C2214yescomplemented
154#16863979C2214yescomplemented
155#16863979C2214yescomplemented
156#16863977C2212yescomplemented
157#16863976C2212yescomplemented
158#16863976C2214yescomplemented
159#16863976C2212yescomplemented
160#16863974C2212yescomplemented
161#16863973C2212yescomplemented
162#16863973C2214yescomplemented
163#16863965C2214yescomplemented
164#16863965C2212yescomplemented
165#16863964C2212yescomplemented
166#16863964C2214yescomplemented
167#16863962C2212yescomplemented
168#16863962C2212yescomplemented
169#16863961C2214yescomplemented
170#16863958C2212yescomplemented
171#16863958C2212yescomplemented
172#16863958C2214yescomplemented
173#16863958C2212yescomplemented
174#16863957C2214yescomplemented
175#16863957C2214yescomplemented
176#16863957C2214yescomplemented
177#16863955C2212yescomplemented
178#16863954C2212yescomplemented
179#16863954C2214yescomplemented
180#16863954C2214yescomplemented
181#16863946C2212yescomplemented
182#16863941C2212yescomplemented
183#16863941C2214yescomplemented
184#16863932C2212yescomplemented
185#16863926C2214yescomplemented
186#16863909C2212yescomplemented
187#16863909C2212yescomplemented
188#16863909C2212yescomplemented
189#16863909C2212yescomplemented
190#16863909C2212yescomplemented
191#16863909C2212yescomplemented
192#16863909C2212yescomplemented
193#16863909C2212yescomplemented
194#16863909C2212yescomplemented
195#16863908C2214yescomplemented
196#16863905C2212yescomplemented
197#16863905C2212yescomplemented
198#16863905C2212yescomplemented
199#16863905C2212yescomplemented
200#16863905C2212yescomplemented
201#16863905C2212yescomplemented
202#16863905C2212yescomplemented
203#16863905C2212yescomplemented
204#16863905C2214yescomplemented
205#16863904C2214yescomplemented
206C2×#14524028C2212yescomplemented
207C2×#14524028C2211yescharacteristic, complemented
208C2×#14524025C2211yescharacteristic, complemented
209C2×#14524021C2211yescharacteristic, complemented
210C2×#14524020C2211yescharacteristic, complemented
211C2×#14524019C2211yescharacteristic, complemented
212C2×#14524018C2211yescharacteristic, complemented
213C2×#14524018C2211yescharacteristic, complemented
214C2×#14524017C2211yescharacteristic, complemented
215C2×#14524017C2211yescharacteristic, complemented
216C2×#14524017C2212yescomplemented
217C2×#14524016C2212yescomplemented
218C2×#14524016C2211yescharacteristic, complemented
219C2×#14524015C2212yescomplemented
220C2×#14524015C2211yescharacteristic, complemented
221C2×#14524014C2211yescharacteristic, complemented
222#121×D67C2212yescomplemented
223#121×D67C2212yescomplemented
224#121×D67C2212yescomplemented
225#121×D67C2212yescomplemented
226#121×D67C2212yescomplemented
227#121×D67C2212yescomplemented
228#121×D67C2212yescomplemented
229#121×D67C2212yescomplemented
230#121×D67C2212yescomplemented
231#121×D67C2214yescomplemented
232C2×#14524013C2214yescomplemented
233C2×#14524013C2212yescomplemented
234C2×#14524013C2211yescharacteristic, complemented
235C2×#14524011C2211yescharacteristic, complemented
236#120×D67C2214yescomplemented
237#16863878C2212yescomplemented
238#16863876C2212yescomplemented
239#16863870C2214yescomplemented
240#16863869C2212yescomplemented
241#16863868C2212yescomplemented
242#16863868C2214yescomplemented
243C2×C4×D268C2211yescharacteristic, complemented
244C2×#14524005C2212yescomplemented
245C2×C4×C22⋊D67C2211yescharacteristic, complemented
246C2×C4×C22⋊D67C2211yescharacteristic, complemented
247C2×(C22⋊D67)⋊C4C2212yescomplemented
248C2×#14524001C2211yescharacteristic, complemented
249C2×#14524000C2211yescharacteristic, complemented
250C2×C4⋊C4×D67C2211yescharacteristic, complemented
251C2×C22⋊C4×D67C2212yescomplemented
252#553×C67C2214yescomplemented
253#553×C67C2212yescomplemented
254#552×C67C2212yescomplemented
255#551×C67C2214yescomplemented
256#548×C67C2212yescomplemented
257#546×C67C2212yescomplemented
258#539×C67C2212yescomplemented
259#538×C67C2212yescomplemented
260#534×C67C2212yescomplemented
261#529×C67C2212yescomplemented
262#525×C67C2212yescomplemented
263C2×C22⋊Q8×C67C2211yescharacteristic, complemented
264C2×#121×C67C2211yescharacteristic, complemented
265#518×C67C2212yescomplemented
266C2×C4×D4×C67C2211yescharacteristic, complemented
267C24×D67C2311yescharacteristic
268C24×D67C2312yes—
269#14524089—48no—
270#14524088—48no—
271#14524088—48no—
272C2×#11761629—44no—
273C2×#11761629C2312yes—
274C2×#11761629C2312yes—
275C2×#11761629C2312yescomplemented
276C2×#11761629C2312yescomplemented
277C2×#11761629C2312yescomplemented
278C2×#11761628—44no—
279C2×#11761628C2312yes—
280C2×#11761628C2314yes—
281C2×#11761628C2312yes—
282C2×#11761628C2314yescomplemented
283C2×#11761628C2314yescomplemented
284C2×#11761628C2312yescomplemented
285C2×#11761628C2312yescomplemented
286C2×#11761627C2314yes—
287C2×#11761627C2314yescomplemented
288C2×#11761627C2314yescomplemented
289C2×#11761627C2314yescomplemented
290C22×Dic134C2311yescharacteristic, complemented
291C22×D268C2312yes—
292C22×D268C2312yes—
293C22×D268C2314yes—
294C22×D268C2311yescharacteristic
295C22×D268C2311yescharacteristic
296C22×D268C2311yescharacteristic
297C22×D268C2314yes—
298C22×D268C2312yes—
299C22×D268C2311yescharacteristic, complemented
300C22×D268C2312yescomplemented
301C22×C22⋊D67C2312yes—
302C22×C22⋊D67C2311yescharacteristic
303C22×C22⋊D67C2312yes—
304C22×C22⋊D67C2311yescharacteristic
305C22×C22⋊D67C2311yescharacteristic
306C22×C22⋊D67C2312yes—
307C22×C22⋊D67C2314yes—
308C22×C22⋊D67C2312yes—
309C22×C22⋊D67C2311yescharacteristic, complemented
310C22×C22⋊D67C2314yescomplemented
311C2×D4×D67—48no—
312C2×D4×D67—44no—
313C2×D4×D67C2312yes—
314C2×D4×D67C2314yes—
315C2×D4×D67C2314yes—
316C2×D4×D67C2314yes—
317C2×D4×D67C2314yes—
318C2×D4×D67C2314yes—
319C2×D4×D67C2312yes—
320C2×D4×D67C2312yes—
321C2×D4×D67C2314yes—
322C2×D4×D67C2314yes—
323C2×D4×D67C2312yes—
324C2×D4×D67C2314yescomplemented
325C2×D4×D67C2314yescomplemented
326C2×D4×D67C2312yescomplemented
327C2×D4×D67C2314yescomplemented
328C2×D4×D67C2314yescomplemented
329C23×Dic67C2311yescharacteristic
330C22×C4×D67—44no—
331C22×C4×D67C2311yescharacteristic
332C22×C4×D67C2311yescharacteristic
333C22×C4×D67C2311yescharacteristic
334C22×C4×D67C2311yescharacteristic
335C22×C4×D67C2312yes—
336C22×C4×D67C2311yescharacteristic
337C22×C4×D67C2311yescharacteristic
338C22×C4×D67C2311yescharacteristic
339C22×C4×D67C2311yescharacteristic
340C22×C4×D67C2311yescharacteristic
341C22×C4×D67C2311yescharacteristic
342C22×C4×D67C2311yescharacteristic
343C22×C4×D67C2311yescharacteristic
344C22×C4×D67C2312yescomplemented
345C22×C4×D67C2311yescharacteristic, complemented
346#14524043C2312yescomplemented
347#14524042C2314yescomplemented
348#14524042C2312yescomplemented
349#14524040C2314yescomplemented
350#14524040C2312yescomplemented
351#14524040C2314yescomplemented
352#14524039C2314yescomplemented
353#14524039C2314yescomplemented
354#14524039C2314yescomplemented
355#14524039C2312yescomplemented
356#14524038C2314yescomplemented
357#14524038C2314yescomplemented
358#14524038C2314yescomplemented
359#14524038C2314yescomplemented
360#14524038C2314yescomplemented
361#14524037C2314yescomplemented
362#14524037C2314yescomplemented
363#14524036C2314yescomplemented
364#14524036C2314yescomplemented
365#14524035C2314yescomplemented
366#14524034C2312yescomplemented
367#14524034C2314yescomplemented
368#14524033C2314yescomplemented
369#14524033C2314yescomplemented
370#14524032C2312yescomplemented
371#14524032C2314yescomplemented
372#14524031C2314yescomplemented
373#14524031C2314yescomplemented
374#14524031C2314yescomplemented
375#14524031C2314yescomplemented
376#14524029C2314yescomplemented
377#14524029C2314yescomplemented
378#14524029C2314yescomplemented
379#14524029C2314yescomplemented
380#14524029C2314yescomplemented
381#14524029C2314yescomplemented
382#14524029C2314yescomplemented
383#14524028C2312yes—
384#14524028C2314yes—
385#14524028C2312yes—
386#14524028C2314yes—
387#14524028C2314yescomplemented
388#14524028C2314yescomplemented
389#14524028C2314yescomplemented
390#14524028C2314yescomplemented
391#14524028C2312yescomplemented
392#14524028C2314yescomplemented
393#14524028C2314yescomplemented
394#14524028C2314yescomplemented
395#14524028C2314yescomplemented
396#14524028C2314yescomplemented
397#14524028C2314yescomplemented
398#14524028C2314yescomplemented
399#14524028C2314yescomplemented
400#14524028C2312yescomplemented
401#14524027C2314yes—
402#14524027C2314yes—
403#14524027C2314yescomplemented
404#14524027C2314yescomplemented
405#14524027C2314yescomplemented
406#14524027C2314yescomplemented
407#14524027C2314yescomplemented
408#14524027C2314yescomplemented
409#14524026C2314yes—
410#14524026C2314yescomplemented
411#14524026C2314yescomplemented
412#14524025C2312yes—
413#14524025C2312yes—
414#14524025C2314yescomplemented
415#14524025C2314yescomplemented
416#14524025C2314yescomplemented
417#14524025C2314yescomplemented
418#14524025C2314yescomplemented
419#14524025C2312yescomplemented
420#14524025C2312yescomplemented
421#14524024C2314yescomplemented
422#14524023C2314yes—
423#14524023C2314yes—
424#14524023C2314yescomplemented
425#14524023C2314yescomplemented
426#14524022C2314yescomplemented
427#14524021C2312yes—
428#14524021C2314yes—
429#14524021C2314yes—
430#14524021C2312yes—
431#14524021C2312yescomplemented
432#14524021C2314yescomplemented
433#14524021C2314yescomplemented
434#14524021C2314yescomplemented
435#14524021C2314yescomplemented
436#14524021C2314yescomplemented
437#14524021C2312yescomplemented
438#14524020C2312yes—
439#14524020C2312yes—
440#14524020C2314yescomplemented
441#14524020C2314yescomplemented
442#14524020C2314yescomplemented
443#14524020C2312yescomplemented
444#14524020C2312yescomplemented
445#14524019C2312yes—
446#14524019C2312yes—
447#14524019C2312yescomplemented
448#14524019C2314yescomplemented
449#14524019C2312yescomplemented
450#14524019C2312yescomplemented
451#14524018C2312yes—
452#14524018C2312yes—
453#14524018C2312yes—
454#14524018C2314yes—
455#14524018C2314yes—
456#14524018C2312yes—
457#14524018C2312yes—
458#14524018C2312yes—
459#14524018C2314yescomplemented
460#14524018C2314yescomplemented
461#14524018C2314yescomplemented
462#14524018C2314yescomplemented
463#14524018C2314yescomplemented
464#14524018C2314yescomplemented
465#14524018C2312yescomplemented
466#14524018C2314yescomplemented
467#14524018C2312yescomplemented
468#14524018C2314yescomplemented
469#14524018C2314yescomplemented
470#14524018C2312yescomplemented
471#14524018C2314yescomplemented
472#14524018C2312yescomplemented
473#14524017C2312yes—
474#14524017C2312yes—
475#14524017C2312yes—
476#14524017C2312yes—
477#14524017C2312yes—
478#14524017C2312yes—
479#14524017C2314yescomplemented
480#14524017C2314yescomplemented
481#14524017C2312yescomplemented
482#14524017C2314yescomplemented
483#14524017C2314yescomplemented
484#14524017C2314yescomplemented
485#14524017C2314yescomplemented
486#14524017C2314yescomplemented
487#14524017C2314yescomplemented
488#14524017C2314yescomplemented
489#14524017C2312yescomplemented
490#14524017C2314yescomplemented
491#14524017C2312yescomplemented
492#14524017C2312yescomplemented
493#14524016C2314yes—
494#14524016C2314yes—
495#14524016C2314yes—
496#14524016C2314yes—
497#14524016C2312yes—
498#14524016C2314yes—
499#14524016C2314yes—
500#14524016C2312yes—
501#14524016C2314yescomplemented
502#14524016C2314yescomplemented
503#14524016C2314yescomplemented
504#14524016C2314yescomplemented
505#14524016C2314yescomplemented
506#14524016C2314yescomplemented
507#14524016C2314yescomplemented
508#14524016C2314yescomplemented
509#14524016C2314yescomplemented
510#14524016C2314yescomplemented
511#14524016C2314yescomplemented
512#14524016C2314yescomplemented
513#14524016C2312yescomplemented
514#14524016C2312yescomplemented
515#14524015C2312yes—
516#14524015C2314yes—
517#14524015C2312yes—
518#14524015C2314yes—
519#14524015C2314yes—
520#14524015C2314yes—
521#14524015C2314yescomplemented
522#14524015C2314yescomplemented
523#14524015C2314yescomplemented
524#14524015C2314yescomplemented
525#14524015C2314yescomplemented
526#14524015C2314yescomplemented
527#14524015C2314yescomplemented
528#14524015C2312yescomplemented
529#14524015C2312yescomplemented
530#14524014C2312yes—
531#14524014C2312yes—
532#14524014C2312yes—
533#14524014C2312yes—
534#14524014C2312yescomplemented
535#14524014C2314yescomplemented
536#14524013C2314yes—
537#14524013C2314yes—
538#14524013C2314yes—
539#14524013C2314yes—
540#14524013C2314yes—
541#14524013C2314yes—
542#14524013C2314yes—
543#14524013C2312yes—
544#14524013C2312yes—
545#14524013C2314yes—
546#14524013C2314yes—
547#14524013C2314yes—
548#14524013C2314yes—
549#14524013C2312yes—
550#14524013C2312yes—
551#14524013C2314yes—
552#14524013C2314yescomplemented
553#14524013C2314yescomplemented
554#14524013C2314yescomplemented
555#14524013C2314yescomplemented
556#14524013C2314yescomplemented
557#14524013C2314yescomplemented
558#14524013C2314yescomplemented
559#14524013C2314yescomplemented
560#14524013C2314yescomplemented
561#14524013C2314yescomplemented
562#14524013C2314yescomplemented
563#14524012C2314yes—
564#14524011C2314yes—
565#14524011C2314yes—
566#14524011C2312yes—
567#14524011C2312yes—
568#14524011C2312yes—
569#14524011C2312yes—
570#14524011C2314yescomplemented
571#14524011C2314yescomplemented
572#14524011C2314yescomplemented
573#14524011C2314yescomplemented
574Q8×Dic67C2312yescomplemented
575C4×Dic134C2314yescomplemented
576C4×D268C2314yes—
577C4×D268C2312yes—
578C4×D268C2314yes—
579C4×D268C2314yes—
580C4×D268C2314yes—
581C4×D268C2312yes—
582C4×D268C2312yescomplemented
583C4×D268C2314yescomplemented
584C4×D268C2312yescomplemented
585C4×D268C2312yescomplemented
586C4×D268C2314yescomplemented
587C4×D268C2312yescomplemented
588D4×Dic67C2312yescomplemented
589D4×Dic67C2314yescomplemented
590#14524005C2314yes—
591#14524005C2314yes—
592#14524005C2314yes—
593#14524005C2314yes—
594#14524005C2312yescomplemented
595#14524005C2312yescomplemented
596#14524005C2314yescomplemented
597#14524005C2314yescomplemented
598#14524005C2314yescomplemented
599#14524005C2314yescomplemented
600C4×C22⋊D67C2312yes—
601C4×C22⋊D67C2312yes—
602C4×C22⋊D67C2312yes—
603C4×C22⋊D67C2312yes—
604C4×C22⋊D67C2314yescomplemented
605C4×C22⋊D67C2314yescomplemented
606C4×C22⋊D67C2314yescomplemented
607C4×C22⋊D67C2312yescomplemented
608C4×C22⋊D67C2312yescomplemented
609C4×C22⋊D67C2314yescomplemented
610C4×C22⋊D67C2312yescomplemented
611C4×C22⋊D67C2312yescomplemented
612(C22⋊D67)⋊C4C2314yes—
613(C22⋊D67)⋊C4C2314yes—
614(C22⋊D67)⋊C4C2314yes—
615(C22⋊D67)⋊C4C2314yes—
616(C22⋊D67)⋊C4C2314yescomplemented
617(C22⋊D67)⋊C4C2314yescomplemented
618(C22⋊D67)⋊C4C2314yescomplemented
619(C22⋊D67)⋊C4C2314yescomplemented
620(C22⋊D67)⋊C4C2314yescomplemented
621(C22⋊D67)⋊C4C2314yescomplemented
622(C22⋊D67)⋊C4C2314yescomplemented
623#14524002C2314yescomplemented
624#14524001C2312yes—
625#14524001C2312yes—
626#14524001C2312yescomplemented
627#14524001C2314yescomplemented
628#14524001C2312yescomplemented
629#14524001C2312yescomplemented
630#14524000C2312yes—
631#14524000C2312yes—
632#14524000C2312yescomplemented
633#14524000C2314yescomplemented
634#14524000C2314yescomplemented
635#14524000C2312yescomplemented
636#14523999C2314yes—
637C2×C4⋊Dic67C2311yescharacteristic
638C2×C4⋊Dic67C2311yescharacteristic, complemented
639C2×C4⋊Dic67C2312yescomplemented
640C2×C4⋊Dic67C2311yescharacteristic, complemented
641C2×Dic67⋊C4C2312yes—
642C2×Dic67⋊C4C2311yescharacteristic, complemented
643C2×Dic67⋊C4C2311yescharacteristic, complemented
644C2×Dic67⋊C4C2311yescharacteristic, complemented
645C2×Dic67⋊C4C2312yescomplemented
646C2×Dic67⋊C4C2311yescharacteristic, complemented
647C4⋊C4×D67C2312yes—
648C4⋊C4×D67C2312yes—
649C4⋊C4×D67C2312yes—
650C4⋊C4×D67C2312yes—
651C4⋊C4×D67C2314yescomplemented
652C4⋊C4×D67C2312yescomplemented
653C2×C22⋊Dic67C2312yes—
654C2×C22⋊Dic67C2311yescharacteristic
655C2×C22⋊Dic67C2311yescharacteristic, complemented
656C2×(C2×D67)⋊C4C2314yes—
657C2×(C2×D67)⋊C4C2312yes—
658C2×(C2×D67)⋊C4C2312yes—
659C2×(C2×D67)⋊C4C2311yescharacteristic
660C2×(C2×D67)⋊C4C2311yescharacteristic
661C2×(C2×D67)⋊C4C2312yes—
662C2×(C2×D67)⋊C4C2311yescharacteristic
663C2×(C2×D67)⋊C4C2311yescharacteristic
664C2×(C2×D67)⋊C4C2314yes—
665C2×(C2×D67)⋊C4C2312yes—
666C2×(C2×D67)⋊C4C2312yescomplemented
667C2×(C2×D67)⋊C4C2311yescharacteristic, complemented
668C2×(C2×D67)⋊C4C2314yescomplemented
669C2×(C2×D67)⋊C4C2312yescomplemented
670C2×(C2×D67)⋊C4C2311yescharacteristic, complemented
671C22⋊C4×D67C2314yes—
672C22⋊C4×D67C2314yes—
673C22⋊C4×D67C2314yes—
674C22⋊C4×D67C2314yes—
675C22⋊C4×D67C2314yes—
676C22⋊C4×D67C2314yes—
677C22⋊C4×D67C2314yes—
678C22⋊C4×D67C2314yescomplemented
679C22⋊C4×D67C2314yescomplemented
680C22⋊C4×D67C2314yescomplemented
681C2×C4×Dic67C2311yescharacteristic, complemented
682C2×C4×Dic67C2312yescomplemented
683C2×#41×C67C2312yescomplemented
684C22×Q8×C67C2311yescharacteristic, complemented
685C22×D4×C67C2311yescharacteristic
686C22×D4×C67C2312yes—
687C22×D4×C67C2311yescharacteristic
688C23×C4×C67C2311yescharacteristic
689C23×C4×C67C2311yescharacteristic, complemented
690#126×C67C2314yescomplemented
691#126×C67C2314yescomplemented
692#126×C67C2314yescomplemented
693#125×C67C2312yescomplemented
694#125×C67C2314yescomplemented
695#124×C67C2312yescomplemented
696#124×C67C2314yescomplemented
697#123×C67C2314yes—
698#123×C67C2314yescomplemented
699#123×C67C2314yescomplemented
700#123×C67C2314yescomplemented
701#123×C67C2314yescomplemented
702C22⋊Q8×C67C2312yes—
703C22⋊Q8×C67C2312yes—
704C22⋊Q8×C67C2314yescomplemented
705C22⋊Q8×C67C2312yescomplemented
706C22⋊Q8×C67C2312yescomplemented
707C22⋊Q8×C67C2312yescomplemented
708#121×C67C2312yes—
709#121×C67C2312yes—
710#121×C67C2312yes—
711#121×C67C2312yes—
712#121×C67C2314yescomplemented
713#121×C67C2314yescomplemented
714#121×C67C2312yescomplemented
715#121×C67C2314yescomplemented
716#120×C67C2314yes—
717#120×C67C2314yescomplemented
718C4×Q8×C67C2312yescomplemented
719C4×D4×C67C2312yes—
720C4×D4×C67C2312yes—
721C4×D4×C67C2314yescomplemented
722C4×D4×C67C2314yescomplemented
723C4×D4×C67C2314yescomplemented
724C4×D4×C67C2314yescomplemented
725C4×D4×C67C2312yescomplemented
726C4×D4×C67C2312yescomplemented
727C4×D4×C67C2312yescomplemented
728C4×D4×C67C2314yescomplemented
729#117×C67C2314yes—
730#117×C67C2314yescomplemented
731#117×C67C2312yescomplemented
732C2×C4⋊C4×C67C2311yescharacteristic
733C2×C4⋊C4×C67C2311yescharacteristic, complemented
734C2×C4⋊C4×C67C2311yescharacteristic, complemented
735C2×C4⋊C4×C67C2312yescomplemented
736C2×C22⋊C4×C67C2312yes—
737C2×C22⋊C4×C67C2314yes—
738C2×C22⋊C4×C67C2311yescharacteristic
739C2×C22⋊C4×C67C2312yes—
740C2×C22⋊C4×C67C2311yescharacteristic, complemented
741C2×C42×C67C2311yescharacteristic, complemented
742C23×D67—24no—
743C23×D67—42no—
744C23×D67—42no—
745C23×D67—44no—
746C23×D67—44no—
747C23×D67—44no—
748C23×D67C2411yescharacteristic
749C23×D67C2411yescharacteristic
750C23×D67C2411yescharacteristic
751C23×D67C2411yescharacteristic
752C23×D67C2411yescharacteristic
753C23×D67C2414yes—
754C23×D67C2414yes—
755C23×D67C2412yes—
756C23×D67C2412yes—
757C23×D67C2411yescharacteristic
758C23×D67C2411yescharacteristic
759C23×D67C2414yes—
760C23×D67C2414yes—
761#11761629—28no—
762#11761629—44no—
763#11761629—44no—
764#11761629—44no—
765#11761629—44no—
766#11761628—28no—
767#11761628—44no—
768#11761628—48no—
769#11761628—44no—
770#11761628—44no—
771#11761628—48no—
772#11761628—48no—
773#11761627—48no—
774#11761627—48no—
775#11761627—48no—
776#11761627—48no—
777C2×Dic134—42no—
778C2×Dic134C2412yes—
779C2×Dic134C2412yes—
780C2×Dic134C2414yes—
781C2×Dic134C2414yes—
782C2×D268—42no—
783C2×D268—42no—
784C2×D268—44no—
785C2×D268—44no—
786C2×D268—48no—
787C2×D268—42no—
788C2×D268—42no—
789C2×D268—44no—
790C2×D268—48no—
791C2×D268—44no—
792C2×D268C2414yes—
793C2×D268C2414yes—
794C2×D268C2412yes—
795C2×D268C2412yes—
796C2×D268C2412yes—
797C2×D268C2412yes—
798C2×D268C2414yes—
799C2×D268C2414yes—
800C2×D268C2414yes—
801C2×D268C2412yes—
802C2×D268C2414yes—
803C2×D268C2412yes—
804C2×D268C2414yes—
805C2×D268C2414yes—
806C2×D268C2414yes—
807C2×D268C2412yes—
808C2×D268C2414yes—
809C2×D268C2412yes—
810C2×D268C2414yes—
811C2×D268C2414yes—
812C2×C22⋊D67—28no—
813C2×C22⋊D67—24no—
814C2×C22⋊D67—28no—
815C2×C22⋊D67—44no—
816C2×C22⋊D67—42no—
817C2×C22⋊D67—44no—
818C2×C22⋊D67—42no—
819C2×C22⋊D67—42no—
820C2×C22⋊D67—48no—
821C2×C22⋊D67—48no—
822C2×C22⋊D67C2412yes—
823C2×C22⋊D67C2412yes—
824C2×C22⋊D67C2414yes—
825C2×C22⋊D67C2414yes—
826C2×C22⋊D67C2414yes—
827C2×C22⋊D67C2412yes—
828C2×C22⋊D67C2414yes—
829C2×C22⋊D67C2412yes—
830C2×C22⋊D67C2412yes—
831C2×C22⋊D67C2414yes—
832C2×C22⋊D67C2414yes—
833C2×C22⋊D67C2412yes—
834C2×C22⋊D67C2412yes—
835C2×C22⋊D67C2414yes—
836C2×C22⋊D67C2412yes—
837C2×C22⋊D67C2414yes—
838C2×C22⋊D67C2414yes—
839C2×C22⋊D67C2414yes—
840C2×C22⋊D67C2414yes—
841C2×C22⋊D67C2414yes—
842C2×C22⋊D67C2414yes—
843C2×C22⋊D67C2414yes—
844D4×D67—28no—
845D4×D67—44no—
846D4×D67—44no—
847D4×D67—44no—
848D4×D67—48no—
849D4×D67—44no—
850D4×D67—48no—
851D4×D67—48no—
852D4×D67—48no—
853D4×D67—48no—
854D4×D67—48no—
855D4×D67—48no—
856D4×D67—48no—
857D4×D67—48no—
858D4×D67—48no—
859D4×D67—48no—
860C22×Dic67—42no—
861C22×Dic67C2411yescharacteristic
862C22×Dic67C2412yes—
863C22×Dic67C2411yescharacteristic
864C22×Dic67C2412yes—
865C22×Dic67C2411yescharacteristic
866C22×Dic67C2411yescharacteristic
867C22×Dic67C2411yescharacteristic
868C22×Dic67C2411yescharacteristic
869C22×Dic67C2414yes—
870C22×Dic67C2411yescharacteristic
871C22×Dic67C2411yescharacteristic
872C22×Dic67C2411yescharacteristic
873C22×Dic67C2414yes—
874C2×C4×D67—24no—
875C2×C4×D67—24no—
876C2×C4×D67—24no—
877C2×C4×D67—42no—
878C2×C4×D67—42no—
879C2×C4×D67—42no—
880C2×C4×D67—44no—
881C2×C4×D67—42no—
882C2×C4×D67—42no—
883C2×C4×D67—42no—
884C2×C4×D67—42no—
885C2×C4×D67—42no—
886C2×C4×D67—42no—
887C2×C4×D67—42no—
888C2×C4×D67—44no—
889C2×C4×D67C2411yescharacteristic
890C2×C4×D67C2411yescharacteristic
891C2×C4×D67C2411yescharacteristic
892C2×C4×D67C2411yescharacteristic
893C2×C4×D67C2411yescharacteristic
894C2×C4×D67C2414yes—
895C2×C4×D67C2412yes—
896C2×C4×D67C2411yescharacteristic
897C2×C4×D67C2411yescharacteristic
898C2×C4×D67C2411yescharacteristic
899C2×C4×D67C2411yescharacteristic
900C2×C4×D67C2411yescharacteristic
901C2×C4×D67C2411yescharacteristic
902C2×C4×D67C2414yes—
903C2×C4×D67C2414yes—
904C2×C4×D67C2414yes—
905C2×C4×D67C2414yes—
906C2×C4×D67C2414yes—
907C2×C4×D67C2414yes—
908C2×C4×D67C2412yes—
909C2×C4×D67C2414yes—
910C2×C4×D67C2414yes—
911C2×C4×D67C2414yes—
912C2×C4×D67C2411yescharacteristic
913C2×C4×D67C2411yescharacteristic
914C2×C4×D67C2411yescharacteristic
915C2×C4×D67C2411yescharacteristic
916C2×C4×D67C2411yescharacteristic
917C4⋊Dic67C2412yes—
918C4⋊Dic67C2412yes—
919C4⋊Dic67C2412yes—
920C4⋊Dic67C2414yes—
921C4⋊Dic67C2412yes—
922C4⋊Dic67C2412yes—
923C4⋊Dic67C2412yes—
924C4⋊Dic67C2414yes—
925C4⋊Dic67C2414yes—
926C4⋊Dic67C2414yes—
927Dic67⋊C4C2414yes—
928Dic67⋊C4C2414yes—
929Dic67⋊C4C2412yes—
930Dic67⋊C4C2414yes—
931Dic67⋊C4C2412yes—
932Dic67⋊C4C2412yes—
933Dic67⋊C4C2412yes—
934Dic67⋊C4C2412yes—
935Dic67⋊C4C2414yes—
936Dic67⋊C4C2414yes—
937Dic67⋊C4C2412yes—
938Dic67⋊C4C2412yes—
939Dic67⋊C4C2412yes—
940Dic67⋊C4C2414yes—
941Dic67⋊C4C2414yes—
942Dic67⋊C4C2414yes—
943C22⋊Dic67C2414yes—
944C22⋊Dic67C2412yes—
945C22⋊Dic67C2414yes—
946C22⋊Dic67C2414yes—
947C22⋊Dic67C2414yes—
948C22⋊Dic67C2412yes—
949C22⋊Dic67C2412yes—
950C22⋊Dic67C2412yes—
951(C2×D67)⋊C4C2414yes—
952(C2×D67)⋊C4C2414yes—
953(C2×D67)⋊C4C2412yes—
954(C2×D67)⋊C4C2412yes—
955(C2×D67)⋊C4C2414yes—
956(C2×D67)⋊C4C2414yes—
957(C2×D67)⋊C4C2414yes—
958(C2×D67)⋊C4C2414yes—
959(C2×D67)⋊C4C2414yes—
960(C2×D67)⋊C4C2414yes—
961(C2×D67)⋊C4C2412yes—
962(C2×D67)⋊C4C2414yes—
963(C2×D67)⋊C4C2414yes—
964(C2×D67)⋊C4C2414yes—
965(C2×D67)⋊C4C2414yes—
966(C2×D67)⋊C4C2412yes—
967(C2×D67)⋊C4C2412yes—
968(C2×D67)⋊C4C2414yes—
969(C2×D67)⋊C4C2412yes—
970(C2×D67)⋊C4C2412yes—
971(C2×D67)⋊C4C2414yes—
972(C2×D67)⋊C4C2414yes—
973(C2×D67)⋊C4C2412yes—
974(C2×D67)⋊C4C2414yes—
975(C2×D67)⋊C4C2414yes—
976(C2×D67)⋊C4C2412yes—
977(C2×D67)⋊C4C2414yes—
978(C2×D67)⋊C4C2414yes—
979(C2×D67)⋊C4C2412yes—
980(C2×D67)⋊C4C2412yes—
981(C2×D67)⋊C4C2414yes—
982(C2×D67)⋊C4C2414yes—
983(C2×D67)⋊C4C2412yes—
984(C2×D67)⋊C4C2414yes—
985(C2×D67)⋊C4C2414yes—
986(C2×D67)⋊C4C2414yes—
987C4×Dic67C2412yes—
988C4×Dic67C2412yes—
989C4×Dic67C2414yes—
990C4×Dic67C2414yes—
991C4×Dic67C2414yes—
992C4×Dic67C2414yes—
993C24×C67C2412yes—
994C24×C67C2411yescharacteristic
995C24×C67C2411yescharacteristic
996#41×C67—44no—
997C2×Q8×C67—42no—
998C2×Q8×C67C2412yes—
999C2×Q8×C67C2412yes—
1000C2×D4×C67—28no—
1001C2×D4×C67—24no—
1002C2×D4×C67—42no—
1003C2×D4×C67C2412yes—
1004C2×D4×C67C2414yes—
1005C2×D4×C67C2414yes—
1006C2×D4×C67C2412yes—
1007C2×D4×C67C2412yes—
1008C2×D4×C67C2414yes—
1009C2×D4×C67C2414yes—
1010C2×D4×C67C2412yes—
1011C22×C4×C67—42no—
1012C22×C4×C67—42no—
1013C22×C4×C67C2411yescharacteristic
1014C22×C4×C67C2411yescharacteristic
1015C22×C4×C67C2412yes—
1016C22×C4×C67C2411yescharacteristic
1017C22×C4×C67C2411yescharacteristic
1018C22×C4×C67C2412yes—
1019C22×C4×C67C2411yescharacteristic
1020C22×C4×C67C2411yescharacteristic
1021C22×C4×C67C2412yes—
1022C22×C4×C67C2411yescharacteristic
1023C22×C4×C67C2412yes—
1024C22×C4×C67C2414yes—
1025C22×C4×C67C2414yes—
1026C22×C4×C67C2411yescharacteristic
1027C22×C4×C67C2411yescharacteristic
1028C22×C4×C67C2412yes—
1029C4⋊C4×C67C2412yes—
1030C4⋊C4×C67C2412yes—
1031C4⋊C4×C67C2412yes—
1032C4⋊C4×C67C2414yes—
1033C4⋊C4×C67C2412yes—
1034C4⋊C4×C67C2412yes—
1035C4⋊C4×C67C2414yes—
1036C4⋊C4×C67C2412yes—
1037C4⋊C4×C67C2414yes—
1038C4⋊C4×C67C2414yes—
1039C4⋊C4×C67C2414yes—
1040C4⋊C4×C67C2414yes—
1041C22⋊C4×C67C2412yes—
1042C22⋊C4×C67C2414yes—
1043C22⋊C4×C67C2414yes—
1044C22⋊C4×C67C2412yes—
1045C22⋊C4×C67C2414yes—
1046C22⋊C4×C67C2414yes—
1047C22⋊C4×C67C2414yes—
1048C22⋊C4×C67C2414yes—
1049C22⋊C4×C67C2412yes—
1050C22⋊C4×C67C2412yes—
1051C22⋊C4×C67C2414yes—
1052C22⋊C4×C67C2414yes—
1053C22⋊C4×C67C2414yes—
1054C22⋊C4×C67C2414yes—
1055C42×C67C2412yes—
1056C42×C67C2412yes—
1057C42×C67C2414yes—
1058C42×C67C2414yes—
1059C23×C67—22no—
1060C23×C67—24no—
1061C23×C67—41no—
1062C23×C67—41no—
1063C23×C67—41no—
1064C23×C67—42no—
1065C23×C67—41no—
1066C23×C67—42no—
1067C23×C67H(5,𝔽2)14yescomplemented
1068C23×C67C2514yes—
1069C23×C67C2512yes—
1070C23×C67C2511yescharacteristic
1071C23×C67C2511yescharacteristic
1072C23×C67C2511yescharacteristic
1073C22×D67—22no—
1074C22×D67—22no—
1075C22×D67—22no—
1076C22×D67—22no—
1077C22×D67—22no—
1078C22×D67—22no—
1079C22×D67—22no—
1080C22×D67—22no—
1081C22×D67—24no—
1082C22×D67—22no—
1083C22×D67—24no—
1084C22×D67—22no—
1085C22×D67—22no—
1086C22×D67—22no—
1087C22×D67—22no—
1088C22×D67—28no—
1089C22×D67—28no—
1090C22×D67—41no—
1091C22×D67—41no—
1092C22×D67—41no—
1093C22×D67—41no—
1094C22×D67—41no—
1095C22×D67—41no—
1096C22×D67—41no—
1097C22×D67—42no—
1098C22×D67—44no—
1099C22×D67—44no—
1100C22×D67—44no—
1101C22×D67—42no—
1102C22×D67—41no—
1103C22×D67—42no—
1104C22×D67—44no—
1105C22×D67—42no—
1106C22×D67—44no—
1107C22×D67—44no—
1108C22×D67—44no—
1109C22×D67—44no—
1110C22×D67—44no—
1111C22×D67—44no—
1112C22×D67—416no—
1113C22×D67—816no—
1114C22×D67C2514yes—
1115C22×D67C2511yescharacteristic
1116C22×D67C2511yescharacteristic
1117C22×D67C2514yes—
1118C22×D67C2512yes—
1119C22×D67C2511yescharacteristic
1120C22×D67C2511yescharacteristic
1121Q8×C67—24no—
1122Q8×C67—42no—
1123D4×C67—28no—
1124D4×C67—28no—
1125D4×C67—24no—
1126D4×C67—24no—
1127D4×C67—24no—
1128D4×C67—42no—
1129D4×C67—44no—
1130D4×C67—44no—
1131C2×C4×C67—24no—
1132C2×C4×C67—22no—
1133C2×C4×C67—22no—
1134C2×C4×C67—22no—
1135C2×C4×C67—22no—
1136C2×C4×C67—24no—
1137C2×C4×C67—41no—
1138C2×C4×C67—41no—
1139C2×C4×C67—41no—
1140C2×C4×C67—41no—
1141C2×C4×C67—42no—
1142C2×C4×C67—42no—
1143C2×C4×C67—44no—
1144C2×C4×C67—42no—
1145C2×C4×C67—44no—
1146C2×C4×C67—41no—
1147C2×C4×C67C2512yes—
1148C2×C4×C67C2512yes—
1149C2×C4×C67C2514yes—
1150C2×C4×C67C2511yescharacteristic
1151C2×C4×C67C2512yes—
1152C2×C4×C67C2514yes—
1153C2×C4×C67C2514yes—
1154C2×C4×C67C2511yescharacteristic
1155C2×C4×C67C2511yescharacteristic
1156C2×C4×C67C2511yescharacteristic
1157C22⋊D67—28no—
1158C22⋊D67—28no—
1159C22⋊D67—24no—
1160C22⋊D67—28no—
1161C22⋊D67—28no—
1162C22⋊D67—24no—
1163C22⋊D67—24no—
1164C22⋊D67—24no—
1165C22⋊D67—28no—
1166C22⋊D67—24no—
1167C22⋊D67—44no—
1168C22⋊D67—44no—
1169C22⋊D67—44no—
1170C22⋊D67—44no—
1171C22⋊D67—44no—
1172C22⋊D67—44no—
1173C22⋊D67—44no—
1174C22⋊D67—44no—
1175C22⋊D67—44no—
1176C22⋊D67—42no—
1177C22⋊D67—42no—
1178C22⋊D67—42no—
1179C2×Dic67—24no—
1180C2×Dic67—24no—
1181C2×Dic67—22no—
1182C2×Dic67—22no—
1183C2×Dic67—22no—
1184C2×Dic67—22no—
1185C2×Dic67—41no—
1186C2×Dic67—41no—
1187C2×Dic67—41no—
1188C2×Dic67—41no—
1189C2×Dic67—41no—
1190C2×Dic67—44no—
1191C2×Dic67—44no—
1192C2×Dic67C2512yes—
1193C2×Dic67C2511yescharacteristic
1194C2×Dic67C2512yes—
1195C2×Dic67C2514yes—
1196C2×Dic67C2512yes—
1197C2×Dic67C2514yes—
1198C2×Dic67C2511yescharacteristic
1199C2×Dic67C2511yescharacteristic
1200C2×Dic67C2511yescharacteristic
1201D268—28no—
1202D268—24no—
1203D268—28no—
1204D268—24no—
1205D268—24no—
1206D268—24no—
1207D268—44no—
1208D268—44no—
1209D268—42no—
1210D268—44no—
1211D268—44no—
1212D268—44no—
1213D268—44no—
1214D268—44no—
1215D268—44no—
1216D268—44no—
1217D268—42no—
1218D268—42no—
1219D268—42no—
1220D268—44no—
1221C4×D67—22no—
1222C4×D67—22no—
1223C4×D67—22no—
1224C4×D67—22no—
1225C4×D67—22no—
1226C4×D67—22no—
1227C4×D67—24no—
1228C4×D67—22no—
1229C4×D67—22no—
1230C4×D67—22no—
1231C4×D67—28no—
1232C4×D67—41no—
1233C4×D67—41no—
1234C4×D67—41no—
1235C4×D67—41no—
1236C4×D67—41no—
1237C4×D67—41no—
1238C4×D67—44no—
1239C4×D67—44no—
1240C4×D67—42no—
1241C4×D67—44no—
1242C4×D67—44no—
1243C4×D67—44no—
1244C4×D67—44no—
1245C4×D67—44no—
1246C4×D67—44no—
1247C4×D67—44no—
1248C4×D67H(5,𝔽2)14yescomplemented
1249Dic134—24no—
1250Dic134—42no—
1251Dic134—44no—
1252Dic134—44no—
1253C22×C67—21no—
1254C22×C67—21no—
1255C22×C67—21no—
1256C22×C67—21no—
1257C22×C67—21no—
1258C22×C67—21no—
1259C22×C67—22no—
1260C22×C67—24no—
1261C22×C67—22no—
1262C22×C67—24no—
1263C22×C67—22no—
1264C22×C67—24no—
1265C22×C67—44no—
1266C22×C67—84no—
1267C22×C67—82no—
1268C22×C67C2×H(5,𝔽2)12yes—
1269C22×C67C2×H(5,𝔽2)12yes—
1270C22×C67C2×H(5,𝔽2)12yes—
1271C22×C67C2611yescharacteristic
1272C2×D67—28no—
1273C2×D67—21no—
1274C2×D67—21no—
1275C2×D67—21no—
1276C2×D67—21no—
1277C2×D67—21no—
1278C2×D67—21no—
1279C2×D67—24no—
1280C2×D67—22no—
1281C2×D67—22no—
1282C2×D67—24no—
1283C2×D67—24no—
1284C2×D67—24no—
1285C2×D67—21no—
1286C2×D67—21no—
1287C2×D67—24no—
1288C2×D67—22no—
1289C2×D67—24no—
1290C2×D67—21no—
1291C2×D67—21no—
1292C2×D67—44no—
1293C2×D67—44no—
1294C2×D67—44no—
1295C2×D67—44no—
1296C2×D67—44no—
1297C2×D67—88no—
1298C2×D67—88no—
1299C2×D67—84no—
1300C2×D67—82no—
1301C2×D67—84no—
1302C2×D67—164no—
1303C2×D67—164no—
1304C2×D67C2×H(5,𝔽2)12yes—
1305C2×D67#58512yes—
1306C4×C67—22no—
1307C4×C67—22no—
1308C4×C67—24no—
1309C4×C67—21no—
1310C4×C67—21no—
1311C4×C67—21no—
1312C4×C67—24no—
1313C4×C67—24no—
1314C4×C67—22no—
1315C4×C67C2×H(5,𝔽2)12yes—
1316Dic67—22no—
1317Dic67—21no—
1318Dic67—22no—
1319Dic67—24no—
1320Dic67—24no—
1321Dic67—21no—
1322Dic67—21no—
1323Dic67—22no—
1324Dic67C2×H(5,𝔽2)12yes—
1325#62818—671nomaximal, Sylow
1326C2×C67—22no—
1327C2×C67—22no—
1328C2×C67—22no—
1329C2×C67—44no—
1330C2×C67—42no—
1331C2×C67C22×H(5,𝔽2)11yescharacteristic
1332C2×C67C22×H(5,𝔽2)11yescharacteristic
1333C2×C67C2×#58511yescharacteristic
1334D67—22no—
1335D67—22no—
1336D67—41no—
1337D67—41no—
1338D67—44no—
1339D67—44no—
1340D67—42no—
1341#3542—672no—
1342#3542—674no—
1343#3542—672no—
1344#3537—672no—
1345#3537—672no—
1346#3536—672no—
1347#3536—672no—
1348#3534—674no—
1349#3534—672no—
1350#3534—672no—
1351#3519—674no—
1352#3519—672no—
1353#3519—672no—
1354#3505—671no—
1355#3505—672no—
1356#3505D6711yescharacteristic, complemented
1357#3496—672no—
1358#3496—671no—
1359#3496—671no—
1360#3494—672no—
1361#3494—672no—
1362#3492—672no—
1363#3490—674no—
1364#3488—672no—
1365#3488—672no—
1366#3484—672no—
1367#3484—672no—
1368#3484—672no—
1369C2×#525—671no—
1370C2×#525—671no—
1371C22×#121—671no—
1372C67#6281811yescharacteristic, complemented, Sylow
1373C2×H(5,𝔽2)—672no—
1374C2×H(5,𝔽2)—672no—
1375C2×H(5,𝔽2)—672no—
1376C22×#41—671no—
1377C22×#41—671no—
1378C23×D4—672no—
1379C23×D4—671no—
1380C24×C4—671no—
1381#562—674no—
1382#562—674no—
1383#562—674no—
1384#562—674no—
1385#560—674no—
1386#560—674no—
1387#560—674no—
1388#560—674no—
1389#555—672no—
1390#555—672no—
1391#555—674no—
1392#554—674no—
1393#554—672no—
1394#554—672no—
1395#553—674no—
1396#553—674no—
1397#553—672no—
1398#553—672no—
1399#553—672no—
1400#553—674no—
1401#553—674no—
1402#553—674no—
1403#553—672no—
1404#553—672no—
1405#553—674no—
1406#553C2×D6712yescomplemented
1407#553C2×D6714yescomplemented
1408#552—672no—
1409#552—674no—
1410#552C2×D6712yescomplemented
1411#551—674no—
1412#551—674no—
1413#551—674no—
1414#551—674no—
1415#551—674no—
1416#551—674no—
1417#551—674no—
1418#551C2×D6714yescomplemented
1419#550—672no—
1420#550—672no—
1421#550—674no—
1422#548—672no—
1423#548—674no—
1424#548C2×D6712yescomplemented
1425#547—674no—
1426#547—674no—
1427#547—672no—
1428#547—672no—
1429#547—672no—
1430#547—672no—
1431#546—672no—
1432#546—672no—
1433#546—674no—
1434#546—672no—
1435#546—674no—
1436#546—674no—
1437#546—674no—
1438#546—674no—
1439#546—674no—
1440#546—674no—
1441#546—674no—
1442#546—672no—
1443#546—674no—
1444#546—672no—
1445#546—674no—
1446#546—674no—
1447#546—674no—
1448#546—674no—
1449#546—674no—
1450#546—674no—
1451#546—674no—
1452#546—674no—
1453#546—674no—
1454#546—674no—
1455#546—674no—
1456#546—674no—
1457#546—674no—
1458#546—674no—
1459#546C2×D6712yescomplemented
1460D42—672no—
1461D42—672no—
1462D42—674no—
1463D42—672no—
1464D42—674no—
1465D42—674no—
1466D42—674no—
1467D42—674no—
1468D42—674no—
1469D42—674no—
1470D42—672no—
1471D42—674no—
1472D42—674no—
1473D42—672no—
1474D42—674no—
1475D42—674no—
1476D42—672no—
1477#544—672no—
1478#543—674no—
1479#542—674no—
1480#542—672no—
1481#542—672no—
1482#540—672no—
1483#540—674no—
1484#540—674no—
1485#540—674no—
1486#540—674no—
1487#540—672no—
1488#540—674no—
1489#539—674no—
1490#539—674no—
1491#539—672no—
1492#539—674no—
1493#539C2×D6712yescomplemented
1494#538—674no—
1495#538—674no—
1496#538—674no—
1497#538—674no—
1498#538—674no—
1499#538—674no—
1500#538—674no—
1501#538—672no—
1502#538—674no—
1503#538—674no—
1504#538C2×D6712yescomplemented
1505#537—672no—
1506#537—672no—
1507#537—672no—
1508#537—674no—
1509#537—672no—
1510#537—674no—
1511#537—672no—
1512#535—672no—
1513#535—674no—
1514#535—672no—
1515#535—672no—
1516#535—674no—
1517#535—674no—
1518#535—672no—
1519#534—672no—
1520#534—674no—
1521#534—674no—
1522#534—674no—
1523#534—672no—
1524#534—674no—
1525#534—674no—
1526#534—672no—
1527#534—672no—
1528#534—674no—
1529#534—672no—
1530#534C2×D6712yescomplemented
1531#532—672no—
1532#532—674no—
1533#532—672no—
1534#529—672no—
1535#529—674no—
1536#529C2×D6712yescomplemented
1537#525—674no—
1538#525—672no—
1539#525—672no—
1540#525—672no—
1541#525—672no—
1542#525—672no—
1543#525—672no—
1544#525—672no—
1545#525—672no—
1546#525—672no—
1547#525—672no—
1548#525—672no—
1549#525—672no—
1550#525—672no—
1551#525—672no—
1552#525—672no—
1553#525—672no—
1554#525—672no—
1555#525—674no—
1556#525—674no—
1557#525C2×D6712yescomplemented
1558C2×#123—672no—
1559C2×#123—671no—
1560C2×#123—671no—
1561C2×C22⋊Q8—671no—
1562C2×C22⋊Q8—671no—
1563C2×C22⋊Q8—671no—
1564C2×C22⋊Q8C2×D6711yescharacteristic, complemented
1565C2×#121—671no—
1566C2×#121—672no—
1567C2×#121—671no—
1568C2×#121—671no—
1569C2×#121—671no—
1570C2×#121—672no—
1571C2×#121—672no—
1572C2×#121—672no—
1573C2×#121—672no—
1574C2×#121—672no—
1575C2×#121—672no—
1576C2×#121—672no—
1577C2×#121—672no—
1578C2×#121—672no—
1579C2×#121—672no—
1580C2×#121—674no—
1581C2×#121—671no—
1582C2×#121—671no—
1583C2×#121—672no—
1584C2×#121—671no—
1585C2×#121C2×D6711yescharacteristic, complemented
1586C2×#120—671no—
1587C2×#120—674no—
1588C2×#120—672no—
1589C2×#120—671no—
1590C2×#120—674no—
1591#520—672no—
1592#520—672no—
1593#518—672no—
1594#518—674no—
1595#518—674no—
1596#518—672no—
1597#518C2×D6712yescomplemented
1598C2×C4×D4—671no—
1599C2×C4×D4—671no—
1600C2×C4×D4—672no—
1601C2×C4×D4—672no—
1602C2×C4×D4—671no—
1603C2×C4×D4C2×D6711yescharacteristic, complemented
1604C2×#117—671no—
1605C2×#117—671no—
1606C22×C4⋊C4—671no—
1607C22×C22⋊C4—672no—
1608C25—672no—
1609C25—671no—
1610H(5,𝔽2)—2688no—
1611H(5,𝔽2)—2688no—
1612H(5,𝔽2)—2688no—
1613C2×#41—2684no—
1614C2×#41—2684no—
1615C2×#41—672no—
1616C2×#41—672no—
1617C2×#41—672no—
1618C2×#41—672no—
1619C2×#41—672no—
1620C2×#41—674no—
1621C2×#41—674no—
1622C2×#41—674no—
1623C2×#41—674no—
1624C2×#41—672no—
1625C2×#41—672no—
1626C2×#41—672no—
1627C2×#41—674no—
1628C2×#41—674no—
1629C2×#41—674no—
1630C2×#41—672no—
1631C2×#41C22×D6712yescomplemented
1632C22×Q8—671no—
1633C22×Q8C22×D6711yescharacteristic, complemented
1634C22×D4—2688no—
1635C22×D4—2684no—
1636C22×D4—671no—
1637C22×D4—671no—
1638C22×D4—674no—
1639C22×D4—672no—
1640C22×D4—671no—
1641C22×D4—672no—
1642C22×D4—674no—
1643C22×D4—674no—
1644C22×D4—674no—
1645C22×D4—674no—
1646C22×D4—672no—
1647C22×D4—674no—
1648C22×D4—674no—
1649C22×D4—674no—
1650C22×D4—674no—
1651C22×D4—672no—
1652C22×D4—672no—
1653C22×D4—674no—
1654C22×D4—674no—
1655C22×D4—674no—
1656C22×D4—672no—
1657C22×D4—674no—
1658C22×D4—671no—
1659C22×D4—672no—
1660C22×D4—672no—
1661C22×D4—672no—
1662C22×D4—672no—
1663C22×D4—671no—
1664C22×D4—674no—
1665C22×D4—672no—
1666C22×D4—671no—
1667C22×D4—674no—
1668C22×D4—672no—
1669C22×D4—671no—
1670C22×D4—671no—
1671C22×D4—672no—
1672C22×D4C22×D6711yescharacteristic
1673C22×D4C22×D6712yes—
1674C22×D4C22×D6711yescharacteristic
1675C23×C4—2684no—
1676C23×C4—671no—
1677C23×C4—671no—
1678C23×C4—672no—
1679C23×C4—671no—
1680C23×C4—671no—
1681C23×C4—671no—
1682C23×C4—672no—
1683C23×C4—671no—
1684C23×C4—671no—
1685C23×C4—671no—
1686C23×C4—671no—
1687C23×C4—671no—
1688C23×C4—671no—
1689C23×C4—671no—
1690C23×C4—671no—
1691C23×C4—671no—
1692C23×C4C22×D6711yescharacteristic
1693C23×C4C22×D6711yescharacteristic, complemented
1694C4⋊Q8—674no—
1695C4⋊Q8—672no—
1696C4⋊Q8—672no—
1697#127—672no—
1698#127—674no—
1699#127—674no—
1700#127—674no—
1701#127—672no—
1702#127—674no—
1703#127—674no—
1704#126—674no—
1705#126—674no—
1706#126—674no—
1707#126—674no—
1708#126—674no—
1709#126—674no—
1710#126—674no—
1711#126—674no—
1712#126—674no—
1713#126C22×D6714yescomplemented
1714#126C22×D6714yescomplemented
1715#126C22×D6714yescomplemented
1716#125—674no—
1717#125—672no—
1718#125—674no—
1719#125—674no—
1720#125—674no—
1721#125C22×D6712yescomplemented
1722#125C22×D6714yescomplemented
1723#124—672no—
1724#124—674no—
1725#124—674no—
1726#124—674no—
1727#124—674no—
1728#124—674no—
1729#124—674no—
1730#124—674no—
1731#124—674no—
1732#124—674no—
1733#124—674no—
1734#124—674no—
1735#124—674no—
1736#124C22×D6712yescomplemented
1737#124C22×D6714yescomplemented
1738#123—674no—
1739#123—674no—
1740#123—674no—
1741#123—674no—
1742#123—674no—
1743#123—672no—
1744#123—672no—
1745#123—674no—
1746#123—672no—
1747#123—674no—
1748#123—674no—
1749#123—672no—
1750#123—674no—
1751#123—674no—
1752#123—674no—
1753#123—674no—
1754#123—674no—
1755#123—674no—
1756#123—674no—
1757#123—674no—
1758#123—674no—
1759#123—674no—
1760#123—672no—
1761#123—672no—
1762#123—672no—
1763#123—672no—
1764#123—674no—
1765#123—674no—
1766#123—674no—
1767#123—674no—
1768#123—674no—
1769#123—674no—
1770#123—674no—
1771#123—674no—
1772#123—674no—
1773#123—674no—
1774#123—674no—
1775#123—674no—
1776#123—674no—
1777#123C22×D6714yes—
1778#123C22×D6714yescomplemented
1779#123C22×D6714yescomplemented
1780#123C22×D6714yescomplemented
1781#123C22×D6714yescomplemented
1782C22⋊Q8—672no—
1783C22⋊Q8—672no—
1784C22⋊Q8—672no—
1785C22⋊Q8—672no—
1786C22⋊Q8—672no—
1787C22⋊Q8—674no—
1788C22⋊Q8—674no—
1789C22⋊Q8—672no—
1790C22⋊Q8—672no—
1791C22⋊Q8—672no—
1792C22⋊Q8—672no—
1793C22⋊Q8—674no—
1794C22⋊Q8—674no—
1795C22⋊Q8—674no—
1796C22⋊Q8—674no—
1797C22⋊Q8—674no—
1798C22⋊Q8—674no—
1799C22⋊Q8—674no—
1800C22⋊Q8—674no—
1801C22⋊Q8—674no—
1802C22⋊Q8—674no—
1803C22⋊Q8—674no—
1804C22⋊Q8—672no—
1805C22⋊Q8—672no—
1806C22⋊Q8—672no—
1807C22⋊Q8—672no—
1808C22⋊Q8—674no—
1809C22⋊Q8—674no—
1810C22⋊Q8—674no—
1811C22⋊Q8C22×D6712yes—
1812C22⋊Q8C22×D6712yes—
1813C22⋊Q8C22×D6712yescomplemented
1814C22⋊Q8C22×D6712yescomplemented
1815C22⋊Q8C22×D6712yescomplemented
1816C22⋊Q8C22×D6714yescomplemented
1817#121—674no—
1818#121—672no—
1819#121—674no—
1820#121—672no—
1821#121—672no—
1822#121—674no—
1823#121—674no—
1824#121—672no—
1825#121—672no—
1826#121—672no—
1827#121—672no—
1828#121—672no—
1829#121—674no—
1830#121—672no—
1831#121—674no—
1832#121—674no—
1833#121—674no—
1834#121—674no—
1835#121—674no—
1836#121—674no—
1837#121—674no—
1838#121—672no—
1839#121—672no—
1840#121—672no—
1841#121—672no—
1842#121—672no—
1843#121—672no—
1844#121—672no—
1845#121—672no—
1846#121—674no—
1847#121—674no—
1848#121—672no—
1849#121—672no—
1850#121—674no—
1851#121—674no—
1852#121—674no—
1853#121—674no—
1854#121—674no—
1855#121—674no—
1856#121—674no—
1857#121—674no—
1858#121—672no—
1859#121—672no—
1860#121—672no—
1861#121—672no—
1862#121—672no—
1863#121—672no—
1864#121—672no—
1865#121—672no—
1866#121—672no—
1867#121—674no—
1868#121—674no—
1869#121—672no—
1870#121—674no—
1871#121—674no—
1872#121—674no—
1873#121—674no—
1874#121—674no—
1875#121—674no—
1876#121—674no—
1877#121—674no—
1878#121—674no—
1879#121—674no—
1880#121—674no—
1881#121—674no—
1882#121—674no—
1883#121—674no—
1884#121—672no—
1885#121—672no—
1886#121—672no—
1887#121—672no—
1888#121—674no—
1889#121—674no—
1890#121—674no—
1891#121—674no—
1892#121—674no—
1893#121—674no—
1894#121—674no—
1895#121—674no—
1896#121—674no—
1897#121—674no—
1898#121—674no—
1899#121—674no—
1900#121—674no—
1901#121—674no—
1902#121C22×D6712yes—
1903#121C22×D6712yes—
1904#121C22×D6712yes—
1905#121C22×D6712yes—
1906#121C22×D6714yescomplemented
1907#121C22×D6712yescomplemented
1908#121C22×D6714yescomplemented
1909#121C22×D6714yescomplemented
1910#120—674no—
1911#120—672no—
1912#120—672no—
1913#120—672no—
1914#120—672no—
1915#120—674no—
1916#120—674no—
1917#120—674no—
1918#120—674no—
1919#120—674no—
1920#120—674no—
1921#120—674no—
1922#120—672no—
1923#120—674no—
1924#120—672no—
1925#120—674no—
1926#120—672no—
1927#120—674no—
1928#120—672no—
1929#120—674no—
1930#120—674no—
1931#120—674no—
1932#120—674no—
1933#120—674no—
1934#120—674no—
1935#120—674no—
1936#120—674no—
1937#120—674no—
1938#120—674no—
1939#120—674no—
1940#120—674no—
1941#120—674no—
1942#120—674no—
1943#120—674no—
1944#120—674no—
1945#120—674no—
1946#120—674no—
1947#120—674no—
1948#120C22×D6714yes—
1949#120C22×D6714yescomplemented
1950C4×Q8—672no—
1951C4×Q8—674no—
1952C4×Q8C22×D6712yescomplemented
1953C4×D4—674no—
1954C4×D4—672no—
1955C4×D4—672no—
1956C4×D4—672no—
1957C4×D4—672no—
1958C4×D4—672no—
1959C4×D4—672no—
1960C4×D4—672no—
1961C4×D4—672no—
1962C4×D4—672no—
1963C4×D4—674no—
1964C4×D4—674no—
1965C4×D4—674no—
1966C4×D4—674no—
1967C4×D4—674no—
1968C4×D4—674no—
1969C4×D4—674no—
1970C4×D4—674no—
1971C4×D4—674no—
1972C4×D4—674no—
1973C4×D4—672no—
1974C4×D4—674no—
1975C4×D4—674no—
1976C4×D4—672no—
1977C4×D4—674no—
1978C4×D4—674no—
1979C4×D4—674no—
1980C4×D4—674no—
1981C4×D4—674no—
1982C4×D4—674no—
1983C4×D4—674no—
1984C4×D4—674no—
1985C4×D4—674no—
1986C4×D4—674no—
1987C4×D4—674no—
1988C4×D4—672no—
1989C4×D4—672no—
1990C4×D4—672no—
1991C4×D4—672no—
1992C4×D4—674no—
1993C4×D4—674no—
1994C4×D4—674no—
1995C4×D4—674no—
1996C4×D4—672no—
1997C4×D4—674no—
1998C4×D4—674no—
1999C4×D4—672no—
2000C4×D4C22×D6712yes—
2001C4×D4C22×D6712yes—
2002C4×D4C22×D6712yescomplemented
2003C4×D4C22×D6712yescomplemented
2004C4×D4C22×D6714yescomplemented
2005C4×D4C22×D6712yescomplemented
2006C4×D4C22×D6714yescomplemented
2007C4×D4C22×D6714yescomplemented
2008C4×D4C22×D6714yescomplemented
2009C4×D4C22×D6714yescomplemented
2010#117—674no—
2011#117—672no—
2012#117—672no—
2013#117—672no—
2014#117—672no—
2015#117—674no—
2016#117—672no—
2017#117—674no—
2018#117—672no—
2019#117—672no—
2020#117—672no—
2021#117—672no—
2022#117—674no—
2023#117—674no—
2024#117C22×D6714yes—
2025#117C22×D6714yescomplemented
2026#117C22×D6712yescomplemented
2027C2×C4⋊C4—672no—
2028C2×C4⋊C4—671no—
2029C2×C4⋊C4—671no—
2030C2×C4⋊C4—671no—
2031C2×C4⋊C4—671no—
2032C2×C4⋊C4—671no—
2033C2×C4⋊C4—672no—
2034C2×C4⋊C4—671no—
2035C2×C4⋊C4—671no—
2036C2×C4⋊C4—672no—
2037C2×C4⋊C4—672no—
2038C2×C4⋊C4—672no—
2039C2×C4⋊C4—672no—
2040C2×C4⋊C4—672no—
2041C2×C4⋊C4—674no—
2042C2×C4⋊C4—672no—
2043C2×C4⋊C4C22×D6711yescharacteristic
2044C2×C4⋊C4C22×D6711yescharacteristic, complemented
2045C2×C4⋊C4C22×D6712yescomplemented
2046C2×C4⋊C4C22×D6711yescharacteristic, complemented
2047C2×C22⋊C4—672no—
2048C2×C22⋊C4—671no—
2049C2×C22⋊C4—671no—
2050C2×C22⋊C4—672no—
2051C2×C22⋊C4—672no—
2052C2×C22⋊C4—671no—
2053C2×C22⋊C4—672no—
2054C2×C22⋊C4—671no—
2055C2×C22⋊C4—671no—
2056C2×C22⋊C4—672no—
2057C2×C22⋊C4—671no—
2058C2×C22⋊C4—671no—
2059C2×C22⋊C4—672no—
2060C2×C22⋊C4—671no—
2061C2×C22⋊C4—672no—
2062C2×C22⋊C4—674no—
2063C2×C22⋊C4—674no—
2064C2×C22⋊C4—674no—
2065C2×C22⋊C4—674no—
2066C2×C22⋊C4—674no—
2067C2×C22⋊C4—674no—
2068C2×C22⋊C4—674no—
2069C2×C22⋊C4—674no—
2070C2×C22⋊C4—674no—
2071C2×C22⋊C4—674no—
2072C2×C22⋊C4—674no—
2073C2×C22⋊C4—674no—
2074C2×C22⋊C4—674no—
2075C2×C22⋊C4C22×D6712yes—
2076C2×C22⋊C4C22×D6712yes—
2077C2×C22⋊C4C22×D6711yescharacteristic
2078C2×C22⋊C4C22×D6714yes—
2079C2×C22⋊C4C22×D6711yescharacteristic, complemented
2080C2×C42—671no—
2081C2×C42—672no—
2082C2×C42C22×D6711yescharacteristic, complemented
2083C24—2684no—
2084C24—2682no—
2085C24—2682no—
2086C24—2684no—
2087C24—2684no—
2088C24—674no—
2089C24—674no—
2090C24—674no—
2091C24—674no—
2092C24—672no—
2093C24—672no—
2094C24—671no—
2095C24—671no—
2096C24—671no—
2097C24—671no—
2098C24—671no—
2099C24—671no—
2100C24—671no—
2101C24—1344no—
2102C24C23×D6712yes—
2103C24C23×D6711yescharacteristic
2104C24C23×D6711yescharacteristic
2105#41—44no—
2106#41—2688no—
2107#41—2688no—
2108#41—2684no—
2109#41—2684no—
2110#41—2688no—
2111#41—2684no—
2112#41—2688no—
2113#41—2688no—
2114#41—2688no—
2115#41—2688no—
2116#41—2684no—
2117#41—2684no—
2118#41—2684no—
2119#41—2684no—
2120#41—1348no—
2121#41—1348no—
2122C2×Q8—42no—
2123C2×Q8—2682no—
2124C2×Q8—672no—
2125C2×Q8—674no—
2126C2×Q8—674no—
2127C2×Q8—672no—
2128C2×Q8C23×D6712yes—
2129C2×Q8C23×D6712yes—
2130C2×D4—28no—
2131C2×D4—24no—
2132C2×D4—42no—
2133C2×D4—2684no—
2134C2×D4—2682no—
2135C2×D4—2682no—
2136C2×D4—2684no—
2137C2×D4—2682no—
2138C2×D4—2684no—
2139C2×D4—2688no—
2140C2×D4—2682no—
2141C2×D4—2684no—
2142C2×D4—2688no—
2143C2×D4—2688no—
2144C2×D4—2688no—
2145C2×D4—2688no—
2146C2×D4—2688no—
2147C2×D4—2688no—
2148C2×D4—2688no—
2149C2×D4—2688no—
2150C2×D4—2688no—
2151C2×D4—2688no—
2152C2×D4—2688no—
2153C2×D4—2688no—
2154C2×D4—2688no—
2155C2×D4—2682no—
2156C2×D4—2682no—
2157C2×D4—2684no—
2158C2×D4—2684no—
2159C2×D4—2684no—
2160C2×D4—2684no—
2161C2×D4—2688no—
2162C2×D4—2684no—
2163C2×D4—2684no—
2164C2×D4—2682no—
2165C2×D4—674no—
2166C2×D4—672no—
2167C2×D4—672no—
2168C2×D4—672no—
2169C2×D4—674no—
2170C2×D4—674no—
2171C2×D4—674no—
2172C2×D4—674no—
2173C2×D4—674no—
2174C2×D4—674no—
2175C2×D4—674no—
2176C2×D4—674no—
2177C2×D4—672no—
2178C2×D4—672no—
2179C2×D4—672no—
2180C2×D4—674no—
2181C2×D4—672no—
2182C2×D4—674no—
2183C2×D4—674no—
2184C2×D4—674no—
2185C2×D4—674no—
2186C2×D4—672no—
2187C2×D4—674no—
2188C2×D4—674no—
2189C2×D4—674no—
2190C2×D4—672no—
2191C2×D4—672no—
2192C2×D4—674no—
2193C2×D4—672no—
2194C2×D4—674no—
2195C2×D4—674no—
2196C2×D4—674no—
2197C2×D4—672no—
2198C2×D4—674no—
2199C2×D4—674no—
2200C2×D4—674no—
2201C2×D4—674no—
2202C2×D4—672no—
2203C2×D4—674no—
2204C2×D4—672no—
2205C2×D4—672no—
2206C2×D4—672no—
2207C2×D4—1348no—
2208C2×D4—1348no—
2209C2×D4—1344no—
2210C2×D4—1348no—
2211C2×D4C23×D6712yes—
2212C2×D4C23×D6712yes—
2213C2×D4C23×D6712yes—
2214C2×D4C23×D6714yes—
2215C2×D4C23×D6714yes—
2216C2×D4C23×D6714yes—
2217C2×D4C23×D6712yes—
2218C2×D4C23×D6714yes—
2219C22×C4—42no—
2220C22×C4—42no—
2221C22×C4—2684no—
2222C22×C4—2682no—
2223C22×C4—2682no—
2224C22×C4—2682no—
2225C22×C4—2682no—
2226C22×C4—2682no—
2227C22×C4—2682no—
2228C22×C4—2682no—
2229C22×C4—2682no—
2230C22×C4—2682no—
2231C22×C4—2682no—
2232C22×C4—2684no—
2233C22×C4—2682no—
2234C22×C4—671no—
2235C22×C4—671no—
2236C22×C4—671no—
2237C22×C4—671no—
2238C22×C4—671no—
2239C22×C4—674no—
2240C22×C4—674no—
2241C22×C4—671no—
2242C22×C4—671no—
2243C22×C4—674no—
2244C22×C4—674no—
2245C22×C4—674no—
2246C22×C4—674no—
2247C22×C4—672no—
2248C22×C4—674no—
2249C22×C4—674no—
2250C22×C4—674no—
2251C22×C4—674no—
2252C22×C4—674no—
2253C22×C4—671no—
2254C22×C4—671no—
2255C22×C4—671no—
2256C22×C4—671no—
2257C22×C4—671no—
2258C22×C4—671no—
2259C22×C4—672no—
2260C22×C4—671no—
2261C22×C4—672no—
2262C22×C4—671no—
2263C22×C4—671no—
2264C22×C4—671no—
2265C22×C4—671no—
2266C22×C4—671no—
2267C22×C4—671no—
2268C22×C4—671no—
2269C22×C4—674no—
2270C22×C4—672no—
2271C22×C4—671no—
2272C22×C4—671no—
2273C22×C4—671no—
2274C22×C4—671no—
2275C22×C4—1344no—
2276C22×C4—1344no—
2277C22×C4—1344no—
2278C22×C4C23×D6711yescharacteristic
2279C22×C4C23×D6711yescharacteristic
2280C22×C4C23×D6712yes—
2281C22×C4C23×D6711yescharacteristic
2282C22×C4C23×D6711yescharacteristic
2283C22×C4C23×D6712yes—
2284C22×C4C23×D6712yes—
2285C22×C4C23×D6711yescharacteristic
2286C22×C4C23×D6711yescharacteristic
2287C22×C4C23×D6711yescharacteristic
2288C22×C4C23×D6712yes—
2289C22×C4C23×D6712yes—
2290C22×C4C23×D6711yescharacteristic
2291C22×C4C23×D6714yes—
2292C22×C4C23×D6714yes—
2293C22×C4C23×D6711yescharacteristic
2294C4⋊C4—674no—
2295C4⋊C4—672no—
2296C4⋊C4—672no—
2297C4⋊C4—672no—
2298C4⋊C4—674no—
2299C4⋊C4—672no—
2300C4⋊C4—672no—
2301C4⋊C4—672no—
2302C4⋊C4—672no—
2303C4⋊C4—672no—
2304C4⋊C4—672no—
2305C4⋊C4—672no—
2306C4⋊C4—672no—
2307C4⋊C4—674no—
2308C4⋊C4—672no—
2309C4⋊C4—674no—
2310C4⋊C4—672no—
2311C4⋊C4—672no—
2312C4⋊C4—674no—
2313C4⋊C4—674no—
2314C4⋊C4—674no—
2315C4⋊C4—674no—
2316C4⋊C4—674no—
2317C4⋊C4—674no—
2318C4⋊C4—674no—
2319C4⋊C4—674no—
2320C4⋊C4C23×D6712yes—
2321C4⋊C4C23×D6712yes—
2322C4⋊C4C23×D6714yes—
2323C4⋊C4C23×D6712yes—
2324C4⋊C4C23×D6712yes—
2325C4⋊C4C23×D6714yes—
2326C4⋊C4C23×D6714yes—
2327C4⋊C4C23×D6712yes—
2328C4⋊C4C23×D6712yes—
2329C4⋊C4C23×D6714yes—
2330C4⋊C4C23×D6714yes—
2331C4⋊C4C23×D6714yes—
2332C22⋊C4—674no—
2333C22⋊C4—672no—
2334C22⋊C4—672no—
2335C22⋊C4—674no—
2336C22⋊C4—674no—
2337C22⋊C4—672no—
2338C22⋊C4—674no—
2339C22⋊C4—672no—
2340C22⋊C4—674no—
2341C22⋊C4—674no—
2342C22⋊C4—672no—
2343C22⋊C4—674no—
2344C22⋊C4—672no—
2345C22⋊C4—674no—
2346C22⋊C4—672no—
2347C22⋊C4—672no—
2348C22⋊C4—672no—
2349C22⋊C4—674no—
2350C22⋊C4—674no—
2351C22⋊C4—674no—
2352C22⋊C4—674no—
2353C22⋊C4—674no—
2354C22⋊C4—672no—
2355C22⋊C4—674no—
2356C22⋊C4—672no—
2357C22⋊C4—674no—
2358C22⋊C4—674no—
2359C22⋊C4—674no—
2360C22⋊C4—674no—
2361C22⋊C4—674no—
2362C22⋊C4—674no—
2363C22⋊C4—674no—
2364C22⋊C4—674no—
2365C22⋊C4—672no—
2366C22⋊C4—674no—
2367C22⋊C4—672no—
2368C22⋊C4—672no—
2369C22⋊C4—672no—
2370C22⋊C4—674no—
2371C22⋊C4—672no—
2372C22⋊C4—674no—
2373C22⋊C4—674no—
2374C22⋊C4—674no—
2375C22⋊C4—674no—
2376C22⋊C4C23×D6714yes—
2377C22⋊C4C23×D6714yes—
2378C22⋊C4C23×D6714yes—
2379C22⋊C4C23×D6714yes—
2380C22⋊C4C23×D6714yes—
2381C22⋊C4C23×D6714yes—
2382C22⋊C4C23×D6712yes—
2383C22⋊C4C23×D6714yes—
2384C22⋊C4C23×D6712yes—
2385C22⋊C4C23×D6714yes—
2386C22⋊C4C23×D6714yes—
2387C22⋊C4C23×D6712yes—
2388C22⋊C4C23×D6712yes—
2389C22⋊C4C23×D6714yes—
2390C42—672no—
2391C42—674no—
2392C42—674no—
2393C42—672no—
2394C42—674no—
2395C42—674no—
2396C42C23×D6712yes—
2397C42C23×D6712yes—
2398C42C23×D6714yes—
2399C42C23×D6714yes—
2400C23—22no—
2401C23—24no—
2402C23—41no—
2403C23—41no—
2404C23—41no—
2405C23—42no—
2406C23—41no—
2407C23—42no—
2408C23—2681no—
2409C23—2681no—
2410C23—2681no—
2411C23—2681no—
2412C23—2681no—
2413C23—2681no—
2414C23—2682no—
2415C23—2681no—
2416C23—2682no—
2417C23—2684no—
2418C23—2684no—
2419C23—2684no—
2420C23—2682no—
2421C23—2681no—
2422C23—2682no—
2423C23—2684no—
2424C23—2684no—
2425C23—2684no—
2426C23—2684no—
2427C23—2684no—
2428C23—2684no—
2429C23—2684no—
2430C23—26816no—
2431C23—53616no—
2432C23—671no—
2433C23—671no—
2434C23—674no—
2435C23—671no—
2436C23—671no—
2437C23—674no—
2438C23—672no—
2439C23—1342no—
2440C23—1342no—
2441C23—1342no—
2442C23—1342no—
2443C23—1348no—
2444C23—1348no—
2445C23—1342no—
2446C23—1342no—
2447C23—1342no—
2448C23—1342no—
2449C23—1342no—
2450C23—1342no—
2451C23—1342no—
2452C23—1342no—
2453C23—1344no—
2454C23—1344no—
2455C23—1342no—
2456C23#1452408914yescomplemented
2457C23C24×D6714yes—
2458C23C24×D6712yes—
2459C23C24×D6711yescharacteristic
2460C23C24×D6711yescharacteristic
2461C23C24×D6711yescharacteristic
2462Q8—24no—
2463Q8—42no—
2464Q8—2682no—
2465Q8—2684no—
2466Q8—2684no—
2467Q8—1344no—
2468D4—28no—
2469D4—28no—
2470D4—24no—
2471D4—24no—
2472D4—24no—
2473D4—42no—
2474D4—44no—
2475D4—44no—
2476D4—2682no—
2477D4—2684no—
2478D4—2684no—
2479D4—2684no—
2480D4—2684no—
2481D4—2684no—
2482D4—2684no—
2483D4—2682no—
2484D4—2682no—
2485D4—2684no—
2486D4—2684no—
2487D4—2682no—
2488D4—2684no—
2489D4—2684no—
2490D4—2684no—
2491D4—2684no—
2492D4—2684no—
2493D4—2684no—
2494D4—2684no—
2495D4—2684no—
2496D4—2684no—
2497D4—2684no—
2498D4—2682no—
2499D4—2682no—
2500D4—2684no—
2501D4—2682no—
2502D4—1344no—
2503D4—1348no—
2504D4—1344no—
2505D4—1348no—
2506D4—1348no—
2507D4—1344no—
2508D4—1344no—
2509D4—1344no—
2510D4—1348no—
2511D4—1348no—
2512D4—1348no—
2513D4—1344no—
2514D4—1348no—
2515D4—1344no—
2516D4—1344no—
2517D4—1344no—
2518C2×C4—24no—
2519C2×C4—22no—
2520C2×C4—22no—
2521C2×C4—22no—
2522C2×C4—22no—
2523C2×C4—24no—
2524C2×C4—41no—
2525C2×C4—41no—
2526C2×C4—41no—
2527C2×C4—41no—
2528C2×C4—42no—
2529C2×C4—42no—
2530C2×C4—44no—
2531C2×C4—41no—
2532C2×C4—44no—
2533C2×C4—42no—
2534C2×C4—2681no—
2535C2×C4—2681no—
2536C2×C4—2681no—
2537C2×C4—2681no—
2538C2×C4—2681no—
2539C2×C4—2681no—
2540C2×C4—2684no—
2541C2×C4—2684no—
2542C2×C4—2682no—
2543C2×C4—2684no—
2544C2×C4—2684no—
2545C2×C4—2684no—
2546C2×C4—2684no—
2547C2×C4—2684no—
2548C2×C4—2684no—
2549C2×C4—2684no—
2550C2×C4—2681no—
2551C2×C4—2681no—
2552C2×C4—2681no—
2553C2×C4—2681no—
2554C2×C4—2684no—
2555C2×C4—2684no—
2556C2×C4—2681no—
2557C2×C4—671no—
2558C2×C4—674no—
2559C2×C4—672no—
2560C2×C4—671no—
2561C2×C4—672no—
2562C2×C4—672no—
2563C2×C4—674no—
2564C2×C4—674no—
2565C2×C4—671no—
2566C2×C4—671no—
2567C2×C4—1342no—
2568C2×C4—1342no—
2569C2×C4—1342no—
2570C2×C4—1348no—
2571C2×C4—1342no—
2572C2×C4—1342no—
2573C2×C4—1342no—
2574C2×C4—1342no—
2575C2×C4—1342no—
2576C2×C4—1342no—
2577C2×C4—1344no—
2578C2×C4—1342no—
2579C2×C4—1344no—
2580C2×C4—1342no—
2581C2×C4—1342no—
2582C2×C4—1342no—
2583C2×C4—1344no—
2584C2×C4C24×D6714yes—
2585C2×C4C24×D6711yescharacteristic
2586C2×C4C24×D6714yes—
2587C2×C4C24×D6712yes—
2588C2×C4C24×D6712yes—
2589C2×C4C24×D6712yes—
2590C2×C4C24×D6714yes—
2591C2×C4C24×D6711yescharacteristic
2592C2×C4C24×D6711yescharacteristic
2593C2×C4C24×D6711yescharacteristic
2594C22—21no—
2595C22—21no—
2596C22—21no—
2597C22—21no—
2598C22—21no—
2599C22—21no—
2600C22—22no—
2601C22—24no—
2602C22—22no—
2603C22—24no—
2604C22—24no—
2605C22—22no—
2606C22—44no—
2607C22—84no—
2608C22—82no—
2609C22—2684no—
2610C22—2684no—
2611C22—2684no—
2612C22—2684no—
2613C22—2684no—
2614C22—5364no—
2615C22—5362no—
2616C22—5364no—
2617C22—5368no—
2618C22—5368no—
2619C22—10724no—
2620C22—10724no—
2621C22—672no—
2622C22—672no—
2623C22—1348no—
2624C22—1341no—
2625C22—1341no—
2626C22—1344no—
2627C22—1342no—
2628C22—1344no—
2629C22—1342no—
2630C22—1344no—
2631C22—1344no—
2632C22—1341no—
2633C22—1341no—
2634C22—1344no—
2635C22—1341no—
2636C22—1341no—
2637C22—1342no—
2638C22—1344no—
2639C22—1341no—
2640C22—1341no—
2641C22—1341no—
2642C22—1341no—
2643C22C2×#1452408912yes—
2644C22C2×#1452408912yes—
2645C22C2×#1452408912yes—
2646C22C25×D6711yescharacteristic
2647C4—21no—
2648C4—22no—
2649C4—21no—
2650C4—21no—
2651C4—24no—
2652C4—24no—
2653C4—22no—
2654C4—22no—
2655C4—24no—
2656C4—672no—
2657C4—1341no—
2658C4—1341no—
2659C4—1341no—
2660C4—1342no—
2661C4—1344no—
2662C4—1342no—
2663C4—1344no—
2664C4—1342no—
2665C4H(5,𝔽2)×D6712yes—
2666C2—22no—
2667C2—22no—
2668C2—22no—
2669C2—44no—
2670C2—42no—
2671C2—2681no—
2672C2—2681no—
2673C2—2684no—
2674C2—2682no—
2675C2—2684no—
2676C2—1342no—
2677C2—1342no—
2678C2C2×H(5,𝔽2)×D6711yescharacteristic
2679C2C22×#1452408911yescharacteristic
2680C2#585×D6711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D67
commutator, socle, cosocleC22×C67C26
FittingC67×#3505C2
hypercenter#3505D67
hypocenterC67#62818
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C22 ◁ #3505

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #22574519C2semidirect
2. #22574518C2semidirect
3. #22574511C2semidirect
4. #22574445C2semidirect
5. #22574441C2semidirect
6. #22574433C2semidirect
7. #22574425C2semidirect
8. #22574404C2semidirect
9. #22574400C2semidirect
10. #22574386C2semidirect
11. #22574243C2semidirect
12. #22574237C2semidirect
13. #22574229C2semidirect
14. #22574050C2semidirect
15. #22574039C2semidirect
16. #22573973C2semidirect
17. #22573970C2semidirect
18. #22573966C2semidirect
19. #22573940C2semidirect
20. #22573932C2semidirect
21. #22573909C2semidirect
22. #22573893C2semidirect
23. #22573875C2semidirect
24. #22573870C2semidirect
25. #22573845C2semidirect
26. #22573841C2semidirect
27. #22573839C2semidirect
28. C2×#16863909C2semidirect
29. C2×#16863905C2semidirect
30. C2×#121×D67C2semidirect
31. C67×#3505C2semidirect
32. C2×#14524089C22semidirect
33. C2×#14524088C22semidirect
34. C2×#14524088C22semidirect
35. C22×#11761629C22semidirect
36. C22×#11761628C22semidirect
37. C22×D4×D67C22semidirect
38. C22×D4×D67C22semidirect
39. C23×C4×D67C22semidirect
40. #16864144C22semidirect
41. #16864143C22semidirect
42. #16864142C22semidirect
43. #16864140C22semidirect
44. #16864137C22semidirect
45. #16864137C22semidirect
46. #16864136C22semidirect
47. #16864134C22semidirect
48. #16864111C22semidirect
49. #16864109C22semidirect
50. #16864109C22semidirect
51. #16864106C22semidirect
52. #16864104C22semidirect
53. #16864102C22semidirect
54. #16864099C22semidirect
55. #16864099C22semidirect
56. #16864098C22semidirect
57. #16864097C22semidirect
58. #16864097C22semidirect
59. #16864095C22semidirect
60. #16864095C22semidirect
61. #16864094C22semidirect
62. #16864094C22semidirect
63. #16864092C22semidirect
64. #16864090C22semidirect
65. #16864088C22semidirect
66. #16864079C22semidirect
67. #16864073C22semidirect
68. #16864072C22semidirect
69. #16864071C22semidirect
70. #16864071C22semidirect
71. #16864070C22semidirect
72. #16864070C22semidirect
73. #16864069C22semidirect
74. #16864068C22semidirect
75. #16864067C22semidirect
76. #16864065C22semidirect
77. #16864057C22semidirect
78. #16864055C22semidirect
79. #16864050C22semidirect
80. #16864050C22semidirect
81. #16864047C22semidirect
82. #16864046C22semidirect
83. #16864044C22semidirect
84. #16864044C22semidirect
85. #16864042C22semidirect
86. #16864041C22semidirect
87. #16864041C22semidirect
88. #16864041C22semidirect
89. #16864041C22semidirect
90. #16864041C22semidirect
91. #16864041C22semidirect
92. #16864039C22semidirect
93. #16864039C22semidirect
94. #16864039C22semidirect
95. #16864038C22semidirect
96. #16864038C22semidirect
97. #16864038C22semidirect
98. #16864038C22semidirect
99. #16864038C22semidirect
100. #16864038C22semidirect
101. #16864038C22semidirect
102. #16864037C22semidirect
103. #16864037C22semidirect
104. #16864037C22semidirect
105. #16864036C22semidirect
106. #16864036C22semidirect
107. #16864035C22semidirect
108. #16864035C22semidirect
109. #16864035C22semidirect
110. #16864034C22semidirect
111. #16864033C22semidirect
112. #16864033C22semidirect
113. D4×D268C22semidirect
114. D4×D268C22semidirect
115. D4×D268C22semidirect
116. D4×D268C22semidirect
117. D4×D268C22semidirect
118. D4×D268C22semidirect
119. D4×D268C22semidirect
120. #16864030C22semidirect
121. #16864030C22semidirect
122. #16864030C22semidirect
123. #16864030C22semidirect
124. #16864030C22semidirect
125. D4×C22⋊D67C22semidirect
126. #16864028C22semidirect
127. #16864028C22semidirect
128. #16864028C22semidirect
129. #16864028C22semidirect
130. #16864026C22semidirect
131. #16864021C22semidirect
132. #16864018C22semidirect
133. #16864015C22semidirect
134. #16864012C22semidirect
135. #16864002C22semidirect
136. #16864002C22semidirect
137. #16864001C22semidirect
138. #16863999C22semidirect
139. #16863998C22semidirect
140. #16863998C22semidirect
141. #16863997C22semidirect
142. #16863995C22semidirect
143. #16863994C22semidirect
144. #16863988C22semidirect
145. #16863987C22semidirect
146. #16863986C22semidirect
147. #16863985C22semidirect
148. #16863985C22semidirect
149. #16863985C22semidirect
150. #16863985C22semidirect
151. #16863982C22semidirect
152. #16863982C22semidirect
153. #16863980C22semidirect
154. #16863979C22semidirect
155. #16863979C22semidirect
156. #16863977C22semidirect
157. #16863976C22semidirect
158. #16863976C22semidirect
159. #16863976C22semidirect
160. #16863974C22semidirect
161. #16863973C22semidirect
162. #16863973C22semidirect
163. #16863965C22semidirect
164. #16863965C22semidirect
165. #16863964C22semidirect
166. #16863964C22semidirect
167. #16863962C22semidirect
168. #16863962C22semidirect
169. #16863961C22semidirect
170. #16863958C22semidirect
171. #16863958C22semidirect
172. #16863958C22semidirect
173. #16863958C22semidirect
174. #16863957C22semidirect
175. #16863957C22semidirect
176. #16863957C22semidirect
177. #16863955C22semidirect
178. #16863954C22semidirect
179. #16863954C22semidirect
180. #16863954C22semidirect
181. #16863946C22semidirect
182. #16863941C22semidirect
183. #16863941C22semidirect
184. #16863932C22semidirect
185. #16863926C22semidirect
186. #16863909C22semidirect
187. #16863909C22semidirect
188. #16863909C22semidirect
189. #16863909C22semidirect
190. #16863909C22semidirect
191. #16863909C22semidirect
192. #16863909C22semidirect
193. #16863909C22semidirect
194. #16863909C22semidirect
195. #16863908C22semidirect
196. #16863905C22semidirect
197. #16863905C22semidirect
198. #16863905C22semidirect
199. #16863905C22semidirect
200. #16863905C22semidirect
201. #16863905C22semidirect
202. #16863905C22semidirect
203. #16863905C22semidirect
204. #16863905C22semidirect
205. #16863904C22semidirect
206. C2×#14524028C22semidirect
207. C2×#14524028C22semidirect
208. C2×#14524025C22semidirect
209. C2×#14524021C22semidirect
210. C2×#14524020C22semidirect
211. C2×#14524019C22semidirect
212. C2×#14524018C22semidirect
213. C2×#14524018C22semidirect
214. C2×#14524017C22semidirect
215. C2×#14524017C22semidirect
216. C2×#14524017C22semidirect
217. C2×#14524016C22semidirect
218. C2×#14524016C22semidirect
219. C2×#14524015C22semidirect
220. C2×#14524015C22semidirect
221. C2×#14524014C22semidirect
222. #121×D67C22semidirect
223. #121×D67C22semidirect
224. #121×D67C22semidirect
225. #121×D67C22semidirect
226. #121×D67C22semidirect
227. #121×D67C22semidirect
228. #121×D67C22semidirect
229. #121×D67C22semidirect
230. #121×D67C22semidirect
231. #121×D67C22semidirect
232. C2×#14524013C22semidirect
233. C2×#14524013C22semidirect
234. C2×#14524013C22semidirect
235. C2×#14524011C22semidirect
236. #120×D67C22semidirect
237. #16863878C22semidirect
238. #16863876C22semidirect
239. #16863870C22semidirect
240. #16863869C22semidirect
241. #16863868C22semidirect
242. #16863868C22semidirect
243. C2×C4×D268C22semidirect
244. C2×#14524005C22semidirect
245. C2×C4×C22⋊D67C22semidirect
246. C2×C4×C22⋊D67C22semidirect
247. C2×(C22⋊D67)⋊C4C22semidirect
248. C2×#14524001C22semidirect
249. C2×#14524000C22semidirect
250. C2×C4⋊C4×D67C22semidirect
251. C2×C22⋊C4×D67C22semidirect
252. #553×C67C22semidirect
253. #553×C67C22semidirect
254. #552×C67C22semidirect
255. #551×C67C22semidirect
256. #548×C67C22semidirect
257. #546×C67C22semidirect
258. #539×C67C22semidirect
259. #538×C67C22semidirect
260. #534×C67C22semidirect
261. #529×C67C22semidirect
262. #525×C67C22semidirect
263. C2×C22⋊Q8×C67C22semidirect
264. C2×#121×C67C22semidirect
265. #518×C67C22semidirect
266. C2×C4×D4×C67C22semidirect
275. C2×#11761629C23semidirect
276. C2×#11761629C23semidirect
277. C2×#11761629C23semidirect
282. C2×#11761628C23semidirect
283. C2×#11761628C23semidirect
284. C2×#11761628C23semidirect
285. C2×#11761628C23semidirect
287. C2×#11761627C23semidirect
288. C2×#11761627C23semidirect
289. C2×#11761627C23semidirect
290. C22×Dic134C23semidirect
299. C22×D268C23semidirect
300. C22×D268C23semidirect
309. C22×C22⋊D67C23semidirect
310. C22×C22⋊D67C23semidirect
324. C2×D4×D67C23semidirect
325. C2×D4×D67C23semidirect
326. C2×D4×D67C23semidirect
327. C2×D4×D67C23semidirect
328. C2×D4×D67C23semidirect
344. C22×C4×D67C23semidirect
345. C22×C4×D67C23semidirect
346. #14524043C23semidirect
347. #14524042C23semidirect
348. #14524042C23semidirect
349. #14524040C23semidirect
350. #14524040C23semidirect
351. #14524040C23semidirect
352. #14524039C23semidirect
353. #14524039C23semidirect
354. #14524039C23semidirect
355. #14524039C23semidirect
356. #14524038C23semidirect
357. #14524038C23semidirect
358. #14524038C23semidirect
359. #14524038C23semidirect
360. #14524038C23semidirect
361. #14524037C23semidirect
362. #14524037C23semidirect
363. #14524036C23semidirect
364. #14524036C23semidirect
365. #14524035C23semidirect
366. #14524034C23semidirect
367. #14524034C23semidirect
368. #14524033C23semidirect
369. #14524033C23semidirect
370. #14524032C23semidirect
371. #14524032C23semidirect
372. #14524031C23semidirect
373. #14524031C23semidirect
374. #14524031C23semidirect
375. #14524031C23semidirect
376. #14524029C23semidirect
377. #14524029C23semidirect
378. #14524029C23semidirect
379. #14524029C23semidirect
380. #14524029C23semidirect
381. #14524029C23semidirect
382. #14524029C23semidirect
387. #14524028C23semidirect
388. #14524028C23semidirect
389. #14524028C23semidirect
390. #14524028C23semidirect
391. #14524028C23semidirect
392. #14524028C23semidirect
393. #14524028C23semidirect
394. #14524028C23semidirect
395. #14524028C23semidirect
396. #14524028C23semidirect
397. #14524028C23semidirect
398. #14524028C23semidirect
399. #14524028C23semidirect
400. #14524028C23semidirect
403. #14524027C23semidirect
404. #14524027C23semidirect
405. #14524027C23semidirect
406. #14524027C23semidirect
407. #14524027C23semidirect
408. #14524027C23semidirect
410. #14524026C23semidirect
411. #14524026C23semidirect
414. #14524025C23semidirect
415. #14524025C23semidirect
416. #14524025C23semidirect
417. #14524025C23semidirect
418. #14524025C23semidirect
419. #14524025C23semidirect
420. #14524025C23semidirect
421. #14524024C23semidirect
424. #14524023C23semidirect
425. #14524023C23semidirect
426. #14524022C23semidirect
431. #14524021C23semidirect
432. #14524021C23semidirect
433. #14524021C23semidirect
434. #14524021C23semidirect
435. #14524021C23semidirect
436. #14524021C23semidirect
437. #14524021C23semidirect
440. #14524020C23semidirect
441. #14524020C23semidirect
442. #14524020C23semidirect
443. #14524020C23semidirect
444. #14524020C23semidirect
447. #14524019C23semidirect
448. #14524019C23semidirect
449. #14524019C23semidirect
450. #14524019C23semidirect
459. #14524018C23semidirect
460. #14524018C23semidirect
461. #14524018C23semidirect
462. #14524018C23semidirect
463. #14524018C23semidirect
464. #14524018C23semidirect
465. #14524018C23semidirect
466. #14524018C23semidirect
467. #14524018C23semidirect
468. #14524018C23semidirect
469. #14524018C23semidirect
470. #14524018C23semidirect
471. #14524018C23semidirect
472. #14524018C23semidirect
479. #14524017C23semidirect
480. #14524017C23semidirect
481. #14524017C23semidirect
482. #14524017C23semidirect
483. #14524017C23semidirect
484. #14524017C23semidirect
485. #14524017C23semidirect
486. #14524017C23semidirect
487. #14524017C23semidirect
488. #14524017C23semidirect
489. #14524017C23semidirect
490. #14524017C23semidirect
491. #14524017C23semidirect
492. #14524017C23semidirect
501. #14524016C23semidirect
502. #14524016C23semidirect
503. #14524016C23semidirect
504. #14524016C23semidirect
505. #14524016C23semidirect
506. #14524016C23semidirect
507. #14524016C23semidirect
508. #14524016C23semidirect
509. #14524016C23semidirect
510. #14524016C23semidirect
511. #14524016C23semidirect
512. #14524016C23semidirect
513. #14524016C23semidirect
514. #14524016C23semidirect
521. #14524015C23semidirect
522. #14524015C23semidirect
523. #14524015C23semidirect
524. #14524015C23semidirect
525. #14524015C23semidirect
526. #14524015C23semidirect
527. #14524015C23semidirect
528. #14524015C23semidirect
529. #14524015C23semidirect
534. #14524014C23semidirect
535. #14524014C23semidirect
552. #14524013C23semidirect
553. #14524013C23semidirect
554. #14524013C23semidirect
555. #14524013C23semidirect
556. #14524013C23semidirect
557. #14524013C23semidirect
558. #14524013C23semidirect
559. #14524013C23semidirect
560. #14524013C23semidirect
561. #14524013C23semidirect
562. #14524013C23semidirect
570. #14524011C23semidirect
571. #14524011C23semidirect
572. #14524011C23semidirect
573. #14524011C23semidirect
574. Q8×Dic67C23semidirect
575. C4×Dic134C23semidirect
582. C4×D268C23semidirect
583. C4×D268C23semidirect
584. C4×D268C23semidirect
585. C4×D268C23semidirect
586. C4×D268C23semidirect
587. C4×D268C23semidirect
588. D4×Dic67C23semidirect
589. D4×Dic67C23semidirect
594. #14524005C23semidirect
595. #14524005C23semidirect
596. #14524005C23semidirect
597. #14524005C23semidirect
598. #14524005C23semidirect
599. #14524005C23semidirect
604. C4×C22⋊D67C23semidirect
605. C4×C22⋊D67C23semidirect
606. C4×C22⋊D67C23semidirect
607. C4×C22⋊D67C23semidirect
608. C4×C22⋊D67C23semidirect
609. C4×C22⋊D67C23semidirect
610. C4×C22⋊D67C23semidirect
611. C4×C22⋊D67C23semidirect
616. (C22⋊D67)⋊C4C23semidirect
617. (C22⋊D67)⋊C4C23semidirect
618. (C22⋊D67)⋊C4C23semidirect
619. (C22⋊D67)⋊C4C23semidirect
620. (C22⋊D67)⋊C4C23semidirect
621. (C22⋊D67)⋊C4C23semidirect
622. (C22⋊D67)⋊C4C23semidirect
623. #14524002C23semidirect
626. #14524001C23semidirect
627. #14524001C23semidirect
628. #14524001C23semidirect
629. #14524001C23semidirect
632. #14524000C23semidirect
633. #14524000C23semidirect
634. #14524000C23semidirect
635. #14524000C23semidirect
638. C2×C4⋊Dic67C23semidirect
639. C2×C4⋊Dic67C23semidirect
640. C2×C4⋊Dic67C23semidirect
642. C2×Dic67⋊C4C23semidirect
643. C2×Dic67⋊C4C23semidirect
644. C2×Dic67⋊C4C23semidirect
645. C2×Dic67⋊C4C23semidirect
646. C2×Dic67⋊C4C23semidirect
651. C4⋊C4×D67C23semidirect
652. C4⋊C4×D67C23semidirect
655. C2×C22⋊Dic67C23semidirect
666. C2×(C2×D67)⋊C4C23semidirect
667. C2×(C2×D67)⋊C4C23semidirect
668. C2×(C2×D67)⋊C4C23semidirect
669. C2×(C2×D67)⋊C4C23semidirect
670. C2×(C2×D67)⋊C4C23semidirect
678. C22⋊C4×D67C23semidirect
679. C22⋊C4×D67C23semidirect
680. C22⋊C4×D67C23semidirect
681. C2×C4×Dic67C23semidirect
682. C2×C4×Dic67C23semidirect
683. C2×#41×C67C23semidirect
684. C22×Q8×C67C23semidirect
689. C23×C4×C67C23semidirect
690. #126×C67C23semidirect
691. #126×C67C23semidirect
692. #126×C67C23semidirect
693. #125×C67C23semidirect
694. #125×C67C23semidirect
695. #124×C67C23semidirect
696. #124×C67C23semidirect
698. #123×C67C23semidirect
699. #123×C67C23semidirect
700. #123×C67C23semidirect
701. #123×C67C23semidirect
704. C22⋊Q8×C67C23semidirect
705. C22⋊Q8×C67C23semidirect
706. C22⋊Q8×C67C23semidirect
707. C22⋊Q8×C67C23semidirect
712. #121×C67C23semidirect
713. #121×C67C23semidirect
714. #121×C67C23semidirect
715. #121×C67C23semidirect
717. #120×C67C23semidirect
718. C4×Q8×C67C23semidirect
721. C4×D4×C67C23semidirect
722. C4×D4×C67C23semidirect
723. C4×D4×C67C23semidirect
724. C4×D4×C67C23semidirect
725. C4×D4×C67C23semidirect
726. C4×D4×C67C23semidirect
727. C4×D4×C67C23semidirect
728. C4×D4×C67C23semidirect
730. #117×C67C23semidirect
731. #117×C67C23semidirect
733. C2×C4⋊C4×C67C23semidirect
734. C2×C4⋊C4×C67C23semidirect
735. C2×C4⋊C4×C67C23semidirect
740. C2×C22⋊C4×C67C23semidirect
741. C2×C42×C67C23semidirect
1067. C23×C67H(5,𝔽2)semidirect
1248. C4×D67H(5,𝔽2)semidirect
1356. #3505D67semidirect
1372. C67#62818semidirect
1406. #553C2×D67semidirect
1407. #553C2×D67semidirect
1410. #552C2×D67semidirect
1418. #551C2×D67semidirect
1424. #548C2×D67semidirect
1459. #546C2×D67semidirect
1493. #539C2×D67semidirect
1504. #538C2×D67semidirect
1530. #534C2×D67semidirect
1536. #529C2×D67semidirect
1557. #525C2×D67semidirect
1564. C2×C22⋊Q8C2×D67semidirect
1585. C2×#121C2×D67semidirect
1597. #518C2×D67semidirect
1603. C2×C4×D4C2×D67semidirect
1631. C2×#41C22×D67semidirect
1633. C22×Q8C22×D67semidirect
1693. C23×C4C22×D67semidirect
1713. #126C22×D67semidirect
1714. #126C22×D67semidirect
1715. #126C22×D67semidirect
1721. #125C22×D67semidirect
1722. #125C22×D67semidirect
1736. #124C22×D67semidirect
1737. #124C22×D67semidirect
1778. #123C22×D67semidirect
1779. #123C22×D67semidirect
1780. #123C22×D67semidirect
1781. #123C22×D67semidirect
1813. C22⋊Q8C22×D67semidirect
1814. C22⋊Q8C22×D67semidirect
1815. C22⋊Q8C22×D67semidirect
1816. C22⋊Q8C22×D67semidirect
1906. #121C22×D67semidirect
1907. #121C22×D67semidirect
1908. #121C22×D67semidirect
1909. #121C22×D67semidirect
1949. #120C22×D67semidirect
1952. C4×Q8C22×D67semidirect
2002. C4×D4C22×D67semidirect
2003. C4×D4C22×D67semidirect
2004. C4×D4C22×D67semidirect
2005. C4×D4C22×D67semidirect
2006. C4×D4C22×D67semidirect
2007. C4×D4C22×D67semidirect
2008. C4×D4C22×D67semidirect
2009. C4×D4C22×D67semidirect
2025. #117C22×D67semidirect
2026. #117C22×D67semidirect
2044. C2×C4⋊C4C22×D67semidirect
2045. C2×C4⋊C4C22×D67semidirect
2046. C2×C4⋊C4C22×D67semidirect
2079. C2×C22⋊C4C22×D67semidirect
2082. C2×C42C22×D67semidirect
2456. C23#14524089semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#225745192
#225745182
#225745112
#225744452
#225744412
#225744332
#225744252
#225744042
#225744002
#225743862
#225742432
#225742372
#225742292
#225740502
#225740392
#225739732
#225739702
#225739662
#225739402
#225739322
#225739092
#225738932
#225738752
#225738702
#225738452
#225738412
#225738392
C2×#168639092
C2×#168639052
C2×#121×D672
C67×#35052
#6281867