Finite Group Databasebeta

← #31764453

Subgroups — #31764453

Order 17152.

8042 conjugacy classes of subgroups.

The subgroup lattice has 2666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574531C212yesmaximal, complemented
2#22574527C212yesmaximal, complemented
3#22574514C214yesmaximal, complemented
4#22574446C212yesmaximal, complemented
5#22574444C211yesmaximal, characteristic, complemented
6#22574436C211yesmaximal, characteristic, complemented
7#22574431C211yesmaximal, characteristic, complemented
8#22574430C212yesmaximal, complemented
9#22574400C212yesmaximal, complemented
10#22574396C212yesmaximal, complemented
11#22574390C214yesmaximal, complemented
12#22574234C212yesmaximal, complemented
13#22574232C212yesmaximal, complemented
14#22574228C214yesmaximal, complemented
15#22574047C212yesmaximal, complemented
16#22574038C212yesmaximal, complemented
17#22573970C212yesmaximal, complemented
18#22573965C212yesmaximal, complemented
19#22573940C212yesmaximal, complemented
20#22573936C212yesmaximal, complemented
21#22573913C212yesmaximal, complemented
22#22573897C212yesmaximal, complemented
23#22573895C212yesmaximal, complemented
24#22573876C212yesmaximal, complemented
25#22573869C212yesmaximal, complemented
26#22573837C214yesmaximal, complemented
27#22573837C212yesmaximal, complemented
28C2×#16863906C211yesmaximal, characteristic, complemented
29#525×D67C211yesmaximal, characteristic, complemented
30C2×#121×D67C211yesmaximal, characteristic, complemented
31C67×#3537C211yesmaximal, characteristic, complemented
32C2×#14524088C2212yescomplemented
33C2×#14524088C2214yescomplemented
34C22×#11761627C2211yescharacteristic, complemented
35C2×#41×D67C2211yescharacteristic, complemented
36C22×D4×D67C2211yescharacteristic, complemented
37C22×D4×D67C2212yescomplemented
38C23×C4×D67C2211yescharacteristic, complemented
39#16864143C2214yescomplemented
40#16864143C2214yescomplemented
41#16864141C2214yescomplemented
42#16864140C2214yescomplemented
43#16864136C2214yescomplemented
44#16864135C2214yescomplemented
45#16864134C2214yescomplemented
46#16864111C2212yescomplemented
47#16864110C2214yescomplemented
48#16864109C2212yescomplemented
49#16864105C2214yescomplemented
50#16864103C2212yescomplemented
51#16864101C2212yescomplemented
52#16864099C2212yescomplemented
53#16864098C2212yescomplemented
54#16864098C2212yescomplemented
55#16864098C2214yescomplemented
56#16864097C2214yescomplemented
57#16864094C2212yescomplemented
58#16864093C2214yescomplemented
59#16864092C2214yescomplemented
60#16864091C2214yescomplemented
61#16864089C2214yescomplemented
62#16864089C2214yescomplemented
63#16864085C2212yescomplemented
64#16864084C2212yescomplemented
65#16864082C2214yescomplemented
66#16864076C2214yescomplemented
67#16864074C2214yescomplemented
68#16864071C2214yescomplemented
69#16864071C2214yescomplemented
70#16864069C2214yescomplemented
71#16864069C2214yescomplemented
72#16864069C2214yescomplemented
73#16864069C2214yescomplemented
74#16864066C2212yescomplemented
75#16864066C2214yescomplemented
76#16864064C2212yescomplemented
77#16864055C2212yescomplemented
78#16864054C2214yescomplemented
79#16864052C2212yescomplemented
80#16864051C2212yescomplemented
81#16864050C2212yescomplemented
82#16864046C2212yescomplemented
83#16864046C2212yescomplemented
84#16864044C2214yescomplemented
85#16864044C2214yescomplemented
86#16864043C2214yescomplemented
87#16864043C2212yescomplemented
88#16864043C2214yescomplemented
89#16864042C2214yescomplemented
90#16864042C2212yescomplemented
91#16864041C2214yescomplemented
92#16864041C2212yescomplemented
93#16864041C2212yescomplemented
94#16864040C2214yescomplemented
95#16864040C2212yescomplemented
96#16864040C2212yescomplemented
97#16864040C2214yescomplemented
98#16864039C2214yescomplemented
99#16864038C2214yescomplemented
100#16864038C2214yescomplemented
101#16864035C2214yescomplemented
102#16864035C2214yescomplemented
103#16864035C2214yescomplemented
104#16864035C2214yescomplemented
105#16864033C2214yescomplemented
106#16864033C2214yescomplemented
107#16864033C2214yescomplemented
108#16864033C2214yescomplemented
109#16864033C2214yescomplemented
110#16864033C2214yescomplemented
111#16864033C2214yescomplemented
112#16864033C2214yescomplemented
113#16864033C2214yescomplemented
114#16864033C2214yescomplemented
115#16864031C2214yescomplemented
116#16864031C2212yescomplemented
117#16864030C2212yescomplemented
118#16864030C2214yescomplemented
119D4×C22⋊D67C2214yescomplemented
120D4×C22⋊D67C2214yescomplemented
121D4×C22⋊D67C2214yescomplemented
122D4×C22⋊D67C2214yescomplemented
123D4×C22⋊D67C2212yescomplemented
124D4×C22⋊D67C2212yescomplemented
125#16864028C2214yescomplemented
126#16864028C2214yescomplemented
127#16864028C2214yescomplemented
128#16864028C2214yescomplemented
129#16864026C2212yescomplemented
130#16864022C2212yescomplemented
131#16864021C2212yescomplemented
132#16864017C2212yescomplemented
133#16864013C2212yescomplemented
134#16864012C2214yescomplemented
135#16864000C2214yescomplemented
136#16863999C2214yescomplemented
137#16863999C2214yescomplemented
138#16863999C2212yescomplemented
139#16863998C2214yescomplemented
140#16863998C2214yescomplemented
141#16863995C2212yescomplemented
142#16863991C2212yescomplemented
143#16863989C2214yescomplemented
144#16863987C2214yescomplemented
145#16863987C2214yescomplemented
146#16863985C2214yescomplemented
147#16863984C2212yescomplemented
148#16863984C2212yescomplemented
149#16863983C2212yescomplemented
150#16863983C2212yescomplemented
151#16863983C2214yescomplemented
152#16863983C2214yescomplemented
153#16863982C2214yescomplemented
154#16863981C2214yescomplemented
155#16863981C2214yescomplemented
156#16863981C2214yescomplemented
157#16863975C2212yescomplemented
158#16863975C2212yescomplemented
159#16863975C2214yescomplemented
160#16863974C2212yescomplemented
161#16863973C2212yescomplemented
162#16863973C2214yescomplemented
163#16863973C2212yescomplemented
164#16863962C2212yescomplemented
165#16863962C2214yescomplemented
166#16863962C2212yescomplemented
167#16863961C2214yescomplemented
168#16863959C2212yescomplemented
169#16863959C2214yescomplemented
170#16863958C2212yescomplemented
171#16863956C2214yescomplemented
172#16863956C2214yescomplemented
173#16863956C2214yescomplemented
174#16863956C2214yescomplemented
175#16863954C2212yescomplemented
176#16863954C2214yescomplemented
177#16863954C2214yescomplemented
178#16863954C2214yescomplemented
179#16863944C2212yescomplemented
180#16863943C2212yescomplemented
181#16863941C2214yescomplemented
182#16863931C2212yescomplemented
183#16863928C2212yescomplemented
184#16863926C2214yescomplemented
185#16863909C2211yescharacteristic, complemented
186#16863909C2211yescharacteristic, complemented
187#16863908C2211yescharacteristic, complemented
188#16863908C2212yescomplemented
189#16863907C2211yescharacteristic, complemented
190#16863906C2214yescomplemented
191#16863906C2212yescomplemented
192#16863906C2212yescomplemented
193#16863906C2211yescharacteristic, complemented
194#16863906C2212yescomplemented
195#16863906C2212yescomplemented
196#16863906C2212yescomplemented
197#16863906C2212yescomplemented
198#16863906C2211yescharacteristic, complemented
199#16863906C2212yescomplemented
200#16863906C2212yescomplemented
201#16863906C2212yescomplemented
202#16863905C2214yescomplemented
203#16863905C2212yescomplemented
204#16863905C2212yescomplemented
205#16863904C2212yescomplemented
206#16863903C2211yescharacteristic, complemented
207#16863902C2212yescomplemented
208#16863902C2214yescomplemented
209C2×#14524025C2212yescomplemented
210#123×D67C2212yescomplemented
211C2×#14524023C2211yescharacteristic, complemented
212C2×#14524022C2211yescharacteristic, complemented
213C22⋊Q8×D67C2211yescharacteristic, complemented
214C22⋊Q8×D67C2211yescharacteristic, complemented
215C2×#14524018C2211yescharacteristic, complemented
216C2×#14524017C2211yescharacteristic, complemented
217C2×#14524016C2212yescomplemented
218C2×#14524015C2212yescomplemented
219C2×#14524015C2214yescomplemented
220C2×#14524014C2211yescharacteristic, complemented
221C2×#14524014C2211yescharacteristic, complemented
222C2×#14524014C2212yescomplemented
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×D67C2211yescharacteristic, complemented
232#121×D67C2211yescharacteristic, complemented
233#121×D67C2212yescomplemented
234C2×#14524011C2214yescomplemented
235C2×#14524011C2212yescomplemented
236#120×D67C2214yescomplemented
237#120×D67C2212yescomplemented
238#16863876C2212yescomplemented
239#16863875C2212yescomplemented
240#16863871C2214yescomplemented
241#16863868C2214yescomplemented
242#16863868C2212yescomplemented
243#16863868C2214yescomplemented
244C2×D4×Dic67C2212yescomplemented
245C2×(C22⋊D67)⋊C4C2212yescomplemented
246C4×D4×D67C2212yescomplemented
247C4×D4×D67C2212yescomplemented
248C2×#14524001C2211yescharacteristic, complemented
249#117×D67C2211yescharacteristic, complemented
250C2×C4⋊C4×D67C2211yescharacteristic, complemented
251C2×C22⋊C4×D67C2212yescomplemented
252#560×C67C2214yescomplemented
253#553×C67C2212yescomplemented
254#553×C67C2212yescomplemented
255D42×C67C2214yescomplemented
256D42×C67C2212yescomplemented
257D42×C67C2212yescomplemented
258#540×C67C2212yescomplemented
259#538×C67C2212yescomplemented
260#538×C67C2212yescomplemented
261#535×C67C2212yescomplemented
262#534×C67C2212yescomplemented
263#534×C67C2212yescomplemented
264#525×C67C2211yescharacteristic, complemented
265C2×#121×C67C2211yescharacteristic, complemented
266C2×#121×C67C2211yescharacteristic, complemented
267C24×D67C2311yescharacteristic
268C24×D67C2312yes—
269#14524088—416no—
270#14524088—48no—
271C2×#11761629C2311yescharacteristic
272C2×#11761628C2312yes—
273C2×#11761628C2314yes—
274C2×#11761628C2314yescomplemented
275C2×#11761628C2312yescomplemented
276C2×#11761628C2311yescharacteristic, complemented
277C2×#11761627—44no—
278C2×#11761627C2312yes—
279C2×#11761627C2311yescharacteristic
280C2×#11761627C2312yes—
281C2×#11761627C2314yes—
282C2×#11761627C2314yescomplemented
283C2×#11761627C2312yescomplemented
284C2×#11761627C2314yescomplemented
285C2×#11761627C2314yescomplemented
286C2×#11761627C2314yescomplemented
287C2×#11761627C2312yescomplemented
288C2×#11761627C2312yescomplemented
289C2×#11761627C2312yescomplemented
290#41×D67—44no—
291C22×Dic134C2311yescharacteristic, complemented
292C2×Q8×D67C2311yescharacteristic, complemented
293C22×D268C2312yes—
294C22×D268C2311yescharacteristic
295C22×C22⋊D67C2312yes—
296C22×C22⋊D67C2312yes—
297C22×C22⋊D67C2314yes—
298C22×C22⋊D67C2314yes—
299C22×C22⋊D67C2312yes—
300C22×C22⋊D67C2312yes—
301C22×C22⋊D67C2312yes—
302C22×C22⋊D67C2314yescomplemented
303C22×C22⋊D67C2314yescomplemented
304C22×C22⋊D67C2314yescomplemented
305C2×D4×D67—44no—
306C2×D4×D67—48no—
307C2×D4×D67C2312yes—
308C2×D4×D67C2314yes—
309C2×D4×D67C2312yes—
310C2×D4×D67C2312yes—
311C2×D4×D67C2312yes—
312C2×D4×D67C2314yes—
313C2×D4×D67C2314yes—
314C2×D4×D67C2314yes—
315C2×D4×D67C2314yes—
316C2×D4×D67C2312yes—
317C2×D4×D67C2314yes—
318C2×D4×D67C2312yes—
319C2×D4×D67C2312yes—
320C2×D4×D67C2314yes—
321C2×D4×D67C2311yescharacteristic, complemented
322C2×D4×D67C2314yescomplemented
323C2×D4×D67C2312yescomplemented
324C23×Dic67C2311yescharacteristic
325C23×Dic67C2312yescomplemented
326C22×C4×D67—44no—
327C22×C4×D67C2311yescharacteristic
328C22×C4×D67C2311yescharacteristic
329C22×C4×D67C2311yescharacteristic
330C22×C4×D67C2311yescharacteristic
331C22×C4×D67C2312yes—
332C22×C4×D67C2311yescharacteristic
333C22×C4×D67C2311yescharacteristic
334C22×C4×D67C2311yescharacteristic
335C22×C4×D67C2311yescharacteristic
336C22×C4×D67C2311yescharacteristic
337C22×C4×D67C2311yescharacteristic
338C22×C4×D67C2311yescharacteristic
339C22×C4×D67C2311yescharacteristic
340C22×C4×D67C2312yescomplemented
341#14524043C2312yescomplemented
342#14524042C2314yescomplemented
343#14524042C2312yescomplemented
344#14524039C2314yescomplemented
345#14524039C2314yescomplemented
346#14524039C2314yescomplemented
347#14524039C2312yescomplemented
348#14524039C2314yescomplemented
349#14524038C2314yescomplemented
350#14524038C2314yescomplemented
351#14524038C2314yescomplemented
352#14524038C2314yescomplemented
353#14524038C2314yescomplemented
354#14524036C2314yescomplemented
355#14524036C2314yescomplemented
356#14524036C2314yescomplemented
357#14524036C2314yescomplemented
358#14524036C2314yescomplemented
359#14524035C2314yescomplemented
360#14524034C2312yescomplemented
361#14524034C2314yescomplemented
362#14524034C2314yescomplemented
363#14524033C2314yescomplemented
364#14524033C2314yescomplemented
365#14524031C2314yescomplemented
366#14524031C2312yescomplemented
367#14524030C2312yescomplemented
368#14524030C2314yescomplemented
369#14524030C2314yescomplemented
370#14524029C2314yescomplemented
371#14524029C2314yescomplemented
372#14524029C2314yescomplemented
373#14524029C2314yescomplemented
374#14524029C2314yescomplemented
375#14524029C2314yescomplemented
376#14524029C2314yescomplemented
377#14524029C2314yescomplemented
378#14524029C2314yescomplemented
379#14524028C2312yes—
380#14524028C2314yes—
381#14524028C2312yes—
382#14524028C2314yescomplemented
383#14524028C2314yescomplemented
384#14524028C2314yescomplemented
385#14524028C2314yescomplemented
386#14524027C2314yescomplemented
387#14524027C2314yescomplemented
388#14524027C2314yescomplemented
389#14524027C2314yescomplemented
390#14524027C2314yescomplemented
391#14524027C2314yescomplemented
392#14524027C2314yescomplemented
393#14524027C2314yescomplemented
394#14524027C2312yescomplemented
395#14524026C2312yescomplemented
396#14524025C2312yes—
397#14524025C2314yes—
398#14524025C2314yes—
399#14524025C2314yes—
400#14524025C2314yes—
401#14524025C2312yes—
402#14524025C2314yes—
403#14524025C2314yescomplemented
404#14524025C2314yescomplemented
405#14524025C2314yescomplemented
406#14524025C2314yescomplemented
407#14524025C2314yescomplemented
408#14524025C2314yescomplemented
409#14524025C2314yescomplemented
410#14524025C2314yescomplemented
411#14524025C2314yescomplemented
412#14524024C2312yescomplemented
413#14524024C2314yescomplemented
414#14524024C2314yescomplemented
415#14524024C2314yescomplemented
416#14524024C2314yescomplemented
417#14524024C2314yescomplemented
418#14524023C2314yes—
419#14524023C2312yes—
420#14524023C2311yescharacteristic
421#14524023C2312yes—
422#14524023C2314yescomplemented
423#14524023C2312yescomplemented
424#14524023C2311yescharacteristic, complemented
425#14524023C2312yescomplemented
426#14524023C2312yescomplemented
427#14524022C2312yes—
428#14524022C2311yescharacteristic
429#14524022C2314yes—
430#14524022C2312yes—
431#14524022C2312yescomplemented
432#14524022C2314yescomplemented
433#14524022C2312yescomplemented
434#14524022C2312yescomplemented
435#14524022C2311yescharacteristic, complemented
436#14524021C2314yes—
437#14524021C2312yes—
438#14524021C2312yescomplemented
439#14524021C2314yescomplemented
440#14524021C2314yescomplemented
441#14524021C2314yescomplemented
442#14524020C2314yes—
443#14524020C2312yes—
444#14524020C2314yescomplemented
445#14524020C2314yescomplemented
446#14524020C2314yescomplemented
447#14524020C2314yescomplemented
448#14524020C2314yescomplemented
449#14524020C2314yescomplemented
450#14524020C2314yescomplemented
451#14524020C2312yescomplemented
452#14524019C2311yescharacteristic
453#14524019C2314yescomplemented
454#14524019C2311yescharacteristic, complemented
455#14524018C2311yescharacteristic
456#14524018C2312yes—
457#14524018C2312yes—
458#14524018C2312yes—
459#14524018C2312yes—
460#14524018C2312yescomplemented
461#14524018C2314yescomplemented
462#14524018C2311yescharacteristic, complemented
463#14524017C2312yes—
464#14524017C2312yes—
465#14524017C2312yes—
466#14524017C2312yes—
467#14524017C2311yescharacteristic
468#14524017C2314yescomplemented
469#14524017C2314yescomplemented
470#14524017C2314yescomplemented
471#14524017C2314yescomplemented
472#14524017C2312yescomplemented
473#14524017C2311yescharacteristic, complemented
474#14524016C2314yes—
475#14524016C2314yes—
476#14524016C2312yes—
477#14524016C2314yes—
478#14524016C2314yes—
479#14524016C2314yes—
480#14524016C2314yescomplemented
481#14524016C2314yescomplemented
482#14524016C2314yescomplemented
483#14524016C2314yescomplemented
484#14524016C2314yescomplemented
485#14524016C2314yescomplemented
486#14524016C2314yescomplemented
487#14524016C2312yescomplemented
488#14524015C2314yes—
489#14524015C2312yes—
490#14524015C2314yes—
491#14524015C2314yes—
492#14524015C2314yes—
493#14524015C2314yes—
494#14524015C2314yescomplemented
495#14524015C2314yescomplemented
496#14524015C2314yescomplemented
497#14524015C2314yescomplemented
498#14524015C2314yescomplemented
499#14524015C2314yescomplemented
500#14524015C2314yescomplemented
501#14524015C2314yescomplemented
502#14524015C2314yescomplemented
503#14524015C2314yescomplemented
504#14524015C2314yescomplemented
505#14524015C2314yescomplemented
506#14524015C2314yescomplemented
507#14524015C2314yescomplemented
508#14524015C2314yescomplemented
509#14524015C2314yescomplemented
510#14524015C2314yescomplemented
511#14524015C2314yescomplemented
512#14524015C2312yescomplemented
513#14524014C2314yes—
514#14524014C2312yes—
515#14524014C2311yescharacteristic
516#14524014C2312yes—
517#14524014C2312yes—
518#14524014C2312yes—
519#14524014C2312yes—
520#14524014C2312yes—
521#14524014C2314yescomplemented
522#14524014C2314yescomplemented
523#14524014C2314yescomplemented
524#14524014C2312yescomplemented
525#14524014C2314yescomplemented
526#14524014C2314yescomplemented
527#14524014C2314yescomplemented
528#14524014C2314yescomplemented
529#14524014C2312yescomplemented
530#14524014C2314yescomplemented
531#14524014C2311yescharacteristic, complemented
532#14524014C2312yescomplemented
533#14524014C2312yescomplemented
534#14524013C2312yes—
535#14524013C2314yes—
536#14524013C2314yes—
537#14524013C2312yes—
538#14524013C2312yes—
539#14524013C2314yescomplemented
540#14524013C2314yescomplemented
541#14524013C2314yescomplemented
542#14524013C2314yescomplemented
543#14524012C2312yes—
544#14524012C2314yes—
545#14524012C2314yescomplemented
546#14524012C2314yescomplemented
547#14524012C2314yescomplemented
548#14524011C2314yes—
549#14524011C2314yes—
550#14524011C2314yes—
551#14524011C2312yes—
552#14524011C2314yes—
553#14524011C2314yes—
554#14524011C2314yes—
555#14524011C2314yes—
556#14524011C2314yes—
557#14524011C2314yes—
558#14524011C2314yes—
559#14524011C2314yes—
560#14524011C2312yes—
561#14524011C2312yes—
562#14524011C2314yes—
563#14524011C2314yescomplemented
564#14524011C2314yescomplemented
565#14524011C2314yescomplemented
566#14524011C2314yescomplemented
567C4×Dic134C2314yescomplemented
568C4×Dic134C2312yescomplemented
569#14524008C2312yescomplemented
570C4×D268C2314yes—
571C4×D268C2312yes—
572C4×D268C2312yescomplemented
573C4×D268C2314yescomplemented
574C4×D268C2314yescomplemented
575C4×D268C2312yescomplemented
576D4×Dic67C2314yes—
577D4×Dic67C2314yes—
578D4×Dic67C2314yes—
579D4×Dic67C2312yes—
580D4×Dic67C2314yes—
581D4×Dic67C2314yescomplemented
582D4×Dic67C2314yescomplemented
583D4×Dic67C2312yescomplemented
584D4×Dic67C2312yescomplemented
585D4×Dic67C2314yescomplemented
586D4×Dic67C2314yescomplemented
587D4×Dic67C2314yescomplemented
588D4×Dic67C2314yescomplemented
589D4×Dic67C2314yescomplemented
590D4×Dic67C2312yescomplemented
591#14524005C2312yes—
592#14524005C2314yescomplemented
593#14524005C2312yescomplemented
594#14524005C2314yescomplemented
595#14524005C2312yescomplemented
596C4×C22⋊D67C2314yes—
597C4×C22⋊D67C2312yes—
598C4×C22⋊D67C2314yes—
599C4×C22⋊D67C2312yes—
600C4×C22⋊D67C2314yescomplemented
601C4×C22⋊D67C2314yescomplemented
602C4×C22⋊D67C2314yescomplemented
603C4×C22⋊D67C2312yescomplemented
604C4×C22⋊D67C2314yescomplemented
605C4×C22⋊D67C2312yescomplemented
606(C22⋊D67)⋊C4C2314yes—
607(C22⋊D67)⋊C4C2314yes—
608(C22⋊D67)⋊C4C2314yes—
609(C22⋊D67)⋊C4C2312yes—
610(C22⋊D67)⋊C4C2314yes—
611(C22⋊D67)⋊C4C2312yes—
612(C22⋊D67)⋊C4C2314yescomplemented
613(C22⋊D67)⋊C4C2314yescomplemented
614(C22⋊D67)⋊C4C2314yescomplemented
615(C22⋊D67)⋊C4C2314yescomplemented
616(C22⋊D67)⋊C4C2314yescomplemented
617(C22⋊D67)⋊C4C2312yescomplemented
618(C22⋊D67)⋊C4C2314yescomplemented
619(C22⋊D67)⋊C4C2314yescomplemented
620(C22⋊D67)⋊C4C2312yescomplemented
621#14524002C2311yescharacteristic, complemented
622#14524002C2314yescomplemented
623#14524002C2314yescomplemented
624#14524001C2312yes—
625#14524001C2311yescharacteristic
626#14524001C2312yes—
627#14524001C2314yes—
628#14524001C2311yescharacteristic
629#14524001C2312yescomplemented
630#14524001C2314yescomplemented
631#14524001C2312yescomplemented
632#14524001C2312yescomplemented
633#14524000C2312yes—
634#14524000C2314yes—
635#14524000C2314yescomplemented
636#14523999C2314yescomplemented
637#14523999C2312yescomplemented
638C2×C4⋊Dic67C2311yescharacteristic
639C2×C4⋊Dic67C2311yescharacteristic, complemented
640C2×C4⋊Dic67C2312yescomplemented
641C2×C4⋊Dic67C2312yescomplemented
642C2×Dic67⋊C4C2312yes—
643C2×Dic67⋊C4C2314yescomplemented
644C2×Dic67⋊C4C2312yescomplemented
645C4⋊C4×D67C2312yes—
646C4⋊C4×D67C2312yes—
647C4⋊C4×D67C2312yes—
648C4⋊C4×D67C2312yes—
649C4⋊C4×D67C2311yescharacteristic, complemented
650C4⋊C4×D67C2312yescomplemented
651C4⋊C4×D67C2311yescharacteristic, complemented
652C4⋊C4×D67C2312yescomplemented
653C4⋊C4×D67C2312yescomplemented
654C2×C22⋊Dic67C2314yes—
655C2×C22⋊Dic67C2312yes—
656C2×C22⋊Dic67C2312yes—
657C2×C22⋊Dic67C2314yescomplemented
658C2×C22⋊Dic67C2314yescomplemented
659C2×C22⋊Dic67C2312yescomplemented
660C2×(C2×D67)⋊C4C2312yes—
661C2×(C2×D67)⋊C4C2312yes—
662C2×(C2×D67)⋊C4C2314yes—
663C2×(C2×D67)⋊C4C2314yes—
664C2×(C2×D67)⋊C4C2312yes—
665C2×(C2×D67)⋊C4C2312yes—
666C2×(C2×D67)⋊C4C2314yescomplemented
667C22⋊C4×D67C2314yes—
668C22⋊C4×D67C2312yes—
669C22⋊C4×D67C2314yes—
670C22⋊C4×D67C2314yes—
671C22⋊C4×D67C2314yes—
672C22⋊C4×D67C2314yes—
673C22⋊C4×D67C2312yes—
674C22⋊C4×D67C2314yes—
675C22⋊C4×D67C2314yes—
676C22⋊C4×D67C2312yes—
677C22⋊C4×D67C2312yescomplemented
678C22⋊C4×D67C2314yescomplemented
679C22⋊C4×D67C2312yescomplemented
680C2×C4×Dic67C2312yescomplemented
681C42×D67C2312yescomplemented
682C2×#41×C67C2311yescharacteristic, complemented
683C22×D4×C67C2312yes—
684C22×D4×C67C2314yes—
685C22×D4×C67C2311yescharacteristic
686C22×D4×C67C2312yes—
687C22×D4×C67C2311yescharacteristic, complemented
688C22×D4×C67C2314yescomplemented
689C22×D4×C67C2312yescomplemented
690C23×C4×C67C2311yescharacteristic
691#127×C67C2314yescomplemented
692#127×C67C2312yescomplemented
693#126×C67C2314yescomplemented
694#126×C67C2314yescomplemented
695#125×C67C2312yescomplemented
696#124×C67C2314yescomplemented
697#123×C67C2314yescomplemented
698#123×C67C2314yescomplemented
699#123×C67C2314yescomplemented
700#123×C67C2314yescomplemented
701#123×C67C2312yescomplemented
702C22⋊Q8×C67C2311yescharacteristic
703C22⋊Q8×C67C2311yescharacteristic, complemented
704#121×C67C2312yes—
705#121×C67C2312yes—
706#121×C67C2314yes—
707#121×C67C2312yes—
708#121×C67C2312yes—
709#121×C67C2312yes—
710#121×C67C2312yes—
711#121×C67C2311yescharacteristic
712#121×C67C2314yescomplemented
713#121×C67C2314yescomplemented
714#121×C67C2314yescomplemented
715#121×C67C2314yescomplemented
716#121×C67C2312yescomplemented
717#121×C67C2314yescomplemented
718#121×C67C2312yescomplemented
719#121×C67C2312yescomplemented
720#121×C67C2312yescomplemented
721#121×C67C2311yescharacteristic, complemented
722#120×C67C2312yes—
723#120×C67C2314yes—
724#120×C67C2314yescomplemented
725#120×C67C2314yescomplemented
726#120×C67C2314yescomplemented
727#120×C67C2314yescomplemented
728#120×C67C2314yescomplemented
729C4×D4×C67C2312yes—
730C4×D4×C67C2314yes—
731C4×D4×C67C2312yescomplemented
732C4×D4×C67C2314yescomplemented
733C4×D4×C67C2312yescomplemented
734C4×D4×C67C2312yescomplemented
735#117×C67C2311yescharacteristic, complemented
736#117×C67C2312yescomplemented
737C2×C4⋊C4×C67C2311yescharacteristic
738C2×C4⋊C4×C67C2311yescharacteristic, complemented
739C2×C22⋊C4×C67C2312yes—
740C2×C22⋊C4×C67C2312yescomplemented
741C23×D67—24no—
742C23×D67—42no—
743C23×D67—44no—
744C23×D67—44no—
745C23×D67—42no—
746C23×D67—44no—
747C23×D67C2411yescharacteristic
748C23×D67C2411yescharacteristic
749C23×D67C2411yescharacteristic
750C23×D67C2411yescharacteristic
751C23×D67C2414yes—
752C23×D67C2414yes—
753C23×D67C2412yes—
754C23×D67C2412yes—
755C23×D67C2411yescharacteristic
756C23×D67C2414yes—
757C23×D67C2411yescharacteristic
758#11761629—42no—
759#11761628—28no—
760#11761628—44no—
761#11761628—42no—
762#11761628—48no—
763#11761628—48no—
764#11761627—28no—
765#11761627—44no—
766#11761627—44no—
767#11761627—44no—
768#11761627—48no—
769#11761627—44no—
770#11761627—42no—
771#11761627—44no—
772#11761627—48no—
773#11761627—48no—
774#11761627—48no—
775#11761627—48no—
776C2×Dic134—42no—
777C2×Dic134C2412yes—
778C2×Dic134C2412yes—
779C2×Dic134C2414yes—
780C2×Dic134C2411yescharacteristic
781C2×Dic134C2414yes—
782C2×Dic134C2412yes—
783Q8×D67—42no—
784C2×D268—42no—
785C2×D268—44no—
786C2×D268C2412yes—
787C2×D268C2414yes—
788C2×D268C2412yes—
789C2×D268C2412yes—
790C2×D268C2414yes—
791C2×D268C2412yes—
792C2×D268C2411yescharacteristic
793C2×D268C2412yes—
794C2×D268C2414yes—
795C2×C22⋊D67—28no—
796C2×C22⋊D67—44no—
797C2×C22⋊D67—48no—
798C2×C22⋊D67—44no—
799C2×C22⋊D67—44no—
800C2×C22⋊D67—48no—
801C2×C22⋊D67—48no—
802C2×C22⋊D67—48no—
803C2×C22⋊D67—44no—
804C2×C22⋊D67—48no—
805C2×C22⋊D67C2414yes—
806C2×C22⋊D67C2412yes—
807C2×C22⋊D67C2412yes—
808C2×C22⋊D67C2412yes—
809C2×C22⋊D67C2414yes—
810C2×C22⋊D67C2414yes—
811C2×C22⋊D67C2412yes—
812C2×C22⋊D67C2414yes—
813C2×C22⋊D67C2412yes—
814C2×C22⋊D67C2414yes—
815C2×C22⋊D67C2414yes—
816C2×C22⋊D67C2414yes—
817C2×C22⋊D67C2412yes—
818C2×C22⋊D67C2414yes—
819C2×C22⋊D67C2414yes—
820C2×C22⋊D67C2414yes—
821C2×C22⋊D67C2414yes—
822C2×C22⋊D67C2414yes—
823C2×C22⋊D67C2412yes—
824C2×C22⋊D67C2414yes—
825C2×C22⋊D67C2414yes—
826C2×C22⋊D67C2414yes—
827C2×C22⋊D67C2414yes—
828C2×C22⋊D67C2414yes—
829C2×C22⋊D67C2414yes—
830D4×D67—216no—
831D4×D67—28no—
832D4×D67—28no—
833D4×D67—44no—
834D4×D67—44no—
835D4×D67—44no—
836D4×D67—42no—
837D4×D67—44no—
838D4×D67—48no—
839D4×D67—48no—
840D4×D67—44no—
841D4×D67—48no—
842D4×D67—48no—
843D4×D67—48no—
844D4×D67—48no—
845D4×D67—44no—
846D4×D67—48no—
847C22×Dic67—42no—
848C22×Dic67—44no—
849C22×Dic67C2411yescharacteristic
850C22×Dic67C2412yes—
851C22×Dic67C2411yescharacteristic
852C22×Dic67C2414yes—
853C22×Dic67C2411yescharacteristic
854C22×Dic67C2411yescharacteristic
855C22×Dic67C2412yes—
856C22×Dic67C2412yes—
857C22×Dic67C2414yes—
858C22×Dic67C2414yes—
859C22×Dic67C2414yes—
860C22×Dic67C2411yescharacteristic
861C22×Dic67C2412yes—
862C22×Dic67C2414yes—
863C22×Dic67C2414yes—
864C22×Dic67C2411yescharacteristic
865C2×C4×D67—24no—
866C2×C4×D67—24no—
867C2×C4×D67—24no—
868C2×C4×D67—42no—
869C2×C4×D67—42no—
870C2×C4×D67—42no—
871C2×C4×D67—42no—
872C2×C4×D67—42no—
873C2×C4×D67—42no—
874C2×C4×D67—44no—
875C2×C4×D67—42no—
876C2×C4×D67—42no—
877C2×C4×D67—42no—
878C2×C4×D67—44no—
879C2×C4×D67C2411yescharacteristic
880C2×C4×D67C2412yes—
881C2×C4×D67C2411yescharacteristic
882C2×C4×D67C2411yescharacteristic
883C2×C4×D67C2414yes—
884C2×C4×D67C2411yescharacteristic
885C2×C4×D67C2411yescharacteristic
886C2×C4×D67C2411yescharacteristic
887C2×C4×D67C2411yescharacteristic
888C2×C4×D67C2412yes—
889C2×C4×D67C2411yescharacteristic
890C2×C4×D67C2411yescharacteristic
891C2×C4×D67C2412yes—
892C2×C4×D67C2411yescharacteristic
893C2×C4×D67C2411yescharacteristic
894C2×C4×D67C2414yes—
895C2×C4×D67C2412yes—
896C2×C4×D67C2414yes—
897C2×C4×D67C2414yes—
898C2×C4×D67C2414yes—
899C2×C4×D67C2411yescharacteristic
900C2×C4×D67C2411yescharacteristic
901C2×C4×D67C2412yes—
902C2×C4×D67C2414yes—
903C2×C4×D67C2411yescharacteristic
904C2×C4×D67C2411yescharacteristic
905C2×C4×D67C2411yescharacteristic
906C4⋊Dic67C2412yes—
907C4⋊Dic67C2412yes—
908C4⋊Dic67C2412yes—
909C4⋊Dic67C2411yescharacteristic
910C4⋊Dic67C2411yescharacteristic
911C4⋊Dic67C2412yes—
912C4⋊Dic67C2412yes—
913C4⋊Dic67C2412yes—
914C4⋊Dic67C2414yes—
915C4⋊Dic67C2414yes—
916C4⋊Dic67C2414yes—
917C4⋊Dic67C2414yes—
918C4⋊Dic67C2414yes—
919C4⋊Dic67C2414yes—
920Dic67⋊C4C2414yes—
921Dic67⋊C4C2414yes—
922Dic67⋊C4C2412yes—
923Dic67⋊C4C2412yes—
924Dic67⋊C4C2412yes—
925Dic67⋊C4C2412yes—
926Dic67⋊C4C2414yes—
927Dic67⋊C4C2412yes—
928Dic67⋊C4C2412yes—
929Dic67⋊C4C2414yes—
930Dic67⋊C4C2414yes—
931Dic67⋊C4C2414yes—
932Dic67⋊C4C2414yes—
933Dic67⋊C4C2414yes—
934Dic67⋊C4C2414yes—
935Dic67⋊C4C2414yes—
936C22⋊Dic67C2414yes—
937C22⋊Dic67C2414yes—
938C22⋊Dic67C2414yes—
939C22⋊Dic67C2412yes—
940C22⋊Dic67C2412yes—
941C22⋊Dic67C2412yes—
942C22⋊Dic67C2414yes—
943C22⋊Dic67C2414yes—
944C22⋊Dic67C2414yes—
945C22⋊Dic67C2412yes—
946C22⋊Dic67C2412yes—
947C22⋊Dic67C2414yes—
948C22⋊Dic67C2414yes—
949C22⋊Dic67C2414yes—
950C22⋊Dic67C2414yes—
951C22⋊Dic67C2414yes—
952C22⋊Dic67C2414yes—
953C22⋊Dic67C2414yes—
954(C2×D67)⋊C4C2412yes—
955(C2×D67)⋊C4C2412yes—
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)⋊C4C2412yes—
965(C2×D67)⋊C4C2414yes—
966(C2×D67)⋊C4C2412yes—
967(C2×D67)⋊C4C2412yes—
968(C2×D67)⋊C4C2412yes—
969(C2×D67)⋊C4C2412yes—
970(C2×D67)⋊C4C2412yes—
971(C2×D67)⋊C4C2412yes—
972(C2×D67)⋊C4C2414yes—
973(C2×D67)⋊C4C2414yes—
974(C2×D67)⋊C4C2414yes—
975(C2×D67)⋊C4C2414yes—
976(C2×D67)⋊C4C2414yes—
977(C2×D67)⋊C4C2414yes—
978(C2×D67)⋊C4C2414yes—
979(C2×D67)⋊C4C2414yes—
980C4×Dic67C2412yes—
981C4×Dic67C2412yes—
982C4×Dic67C2412yes—
983C4×Dic67C2414yes—
984C4×Dic67C2414yes—
985C4×Dic67C2414yes—
986C4×Dic67C2414yes—
987C4×Dic67C2414yes—
988C24×C67C2411yescharacteristic
989C24×C67C2412yes—
990C24×C67C2412yes—
991C24×C67C2414yes—
992#41×C67—42no—
993C2×Q8×C67C2411yescharacteristic
994C2×D4×C67—42no—
995C2×D4×C67—42no—
996C2×D4×C67—44no—
997C2×D4×C67—44no—
998C2×D4×C67—48no—
999C2×D4×C67—44no—
1000C2×D4×C67—48no—
1001C2×D4×C67C2412yes—
1002C2×D4×C67C2414yes—
1003C2×D4×C67C2412yes—
1004C2×D4×C67C2414yes—
1005C2×D4×C67C2412yes—
1006C2×D4×C67C2412yes—
1007C2×D4×C67C2412yes—
1008C2×D4×C67C2414yes—
1009C2×D4×C67C2414yes—
1010C2×D4×C67C2411yescharacteristic
1011C2×D4×C67C2412yes—
1012C2×D4×C67C2412yes—
1013C2×D4×C67C2414yes—
1014C2×D4×C67C2414yes—
1015C2×D4×C67C2414yes—
1016C2×D4×C67C2414yes—
1017C2×D4×C67C2414yes—
1018C22×C4×C67—42no—
1019C22×C4×C67C2411yescharacteristic
1020C22×C4×C67C2411yescharacteristic
1021C22×C4×C67C2412yes—
1022C22×C4×C67C2411yescharacteristic
1023C22×C4×C67C2411yescharacteristic
1024C22×C4×C67C2412yes—
1025C22×C4×C67C2411yescharacteristic
1026C22×C4×C67C2412yes—
1027C22×C4×C67C2414yes—
1028C22×C4×C67C2414yes—
1029C22×C4×C67C2411yescharacteristic
1030C4⋊C4×C67C2412yes—
1031C4⋊C4×C67C2412yes—
1032C4⋊C4×C67C2412yes—
1033C4⋊C4×C67C2412yes—
1034C4⋊C4×C67C2411yescharacteristic
1035C4⋊C4×C67C2411yescharacteristic
1036C4⋊C4×C67C2412yes—
1037C4⋊C4×C67C2414yes—
1038C4⋊C4×C67C2414yes—
1039C4⋊C4×C67C2412yes—
1040C22⋊C4×C67C2414yes—
1041C22⋊C4×C67C2414yes—
1042C22⋊C4×C67C2414yes—
1043C22⋊C4×C67C2414yes—
1044C22⋊C4×C67C2412yes—
1045C22⋊C4×C67C2414yes—
1046C22⋊C4×C67C2412yes—
1047C22⋊C4×C67C2414yes—
1048C22⋊C4×C67C2412yes—
1049C22⋊C4×C67C2412yes—
1050C22⋊C4×C67C2414yes—
1051C22⋊C4×C67C2414yes—
1052C22⋊C4×C67C2414yes—
1053C22⋊C4×C67C2412yes—
1054C42×C67C2412yes—
1055C42×C67C2414yes—
1056C23×C67—22no—
1057C23×C67—22no—
1058C23×C67—24no—
1059C23×C67—24no—
1060C23×C67—41no—
1061C23×C67—42no—
1062C23×C67—42no—
1063C23×C67—42no—
1064C23×C67—42no—
1065C23×C67—44no—
1066C23×C67—44no—
1067C23×C67—44no—
1068C23×C67C2514yes—
1069C23×C67C2514yes—
1070C23×C67C2512yes—
1071C23×C67C2511yescharacteristic
1072C23×C67C2511yescharacteristic
1073C23×C67C2511yescharacteristic
1074C22×D67—22no—
1075C22×D67—22no—
1076C22×D67—22no—
1077C22×D67—22no—
1078C22×D67—22no—
1079C22×D67—24no—
1080C22×D67—22no—
1081C22×D67—22no—
1082C22×D67—22no—
1083C22×D67—22no—
1084C22×D67—22no—
1085C22×D67—24no—
1086C22×D67—28no—
1087C22×D67—28no—
1088C22×D67—41no—
1089C22×D67—41no—
1090C22×D67—41no—
1091C22×D67—41no—
1092C22×D67—41no—
1093C22×D67—41no—
1094C22×D67—41no—
1095C22×D67—42no—
1096C22×D67—44no—
1097C22×D67—44no—
1098C22×D67—42no—
1099C22×D67—42no—
1100C22×D67—42no—
1101C22×D67—44no—
1102C22×D67—44no—
1103C22×D67—44no—
1104C22×D67—44no—
1105C22×D67—44no—
1106C22×D67—416no—
1107C22×D67—816no—
1108C22×D67H(5,𝔽2)14yescomplemented
1109C22×D67C2514yes—
1110C22×D67C2511yescharacteristic
1111C22×D67C2512yes—
1112C22×D67C2511yescharacteristic
1113C22×D67C2511yescharacteristic
1114C22×D67C2511yescharacteristic
1115Q8×C67—41no—
1116D4×C67—28no—
1117D4×C67—24no—
1118D4×C67—24no—
1119D4×C67—28no—
1120D4×C67—24no—
1121D4×C67—24no—
1122D4×C67—44no—
1123D4×C67—44no—
1124D4×C67—44no—
1125D4×C67—44no—
1126D4×C67—42no—
1127D4×C67—44no—
1128D4×C67—44no—
1129D4×C67—44no—
1130D4×C67—42no—
1131D4×C67—42no—
1132D4×C67—41no—
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—42no—
1141C2×C4×C67—44no—
1142C2×C4×C67—42no—
1143C2×C4×C67—44no—
1144C2×C4×C67C2512yes—
1145C2×C4×C67C2512yes—
1146C2×C4×C67C2514yes—
1147C2×C4×C67C2512yes—
1148C2×C4×C67C2514yes—
1149C2×C4×C67C2511yescharacteristic
1150C2×C4×C67C2511yescharacteristic
1151C2×C4×C67C2511yescharacteristic
1152C2×C4×C67C2511yescharacteristic
1153C22⋊D67—28no—
1154C22⋊D67—24no—
1155C22⋊D67—24no—
1156C22⋊D67—28no—
1157C22⋊D67—24no—
1158C22⋊D67—28no—
1159C22⋊D67—28no—
1160C22⋊D67—28no—
1161C22⋊D67—24no—
1162C22⋊D67—28no—
1163C22⋊D67—24no—
1164C22⋊D67—44no—
1165C22⋊D67—44no—
1166C22⋊D67—44no—
1167C22⋊D67—44no—
1168C22⋊D67—44no—
1169C22⋊D67—44no—
1170C22⋊D67—44no—
1171C22⋊D67—44no—
1172C22⋊D67—42no—
1173C22⋊D67—42no—
1174C22⋊D67—44no—
1175C22⋊D67—44no—
1176C22⋊D67—44no—
1177C22⋊D67—44no—
1178C2×Dic67—24no—
1179C2×Dic67—22no—
1180C2×Dic67—22no—
1181C2×Dic67—22no—
1182C2×Dic67—28no—
1183C2×Dic67—41no—
1184C2×Dic67—41no—
1185C2×Dic67—41no—
1186C2×Dic67—42no—
1187C2×Dic67—42no—
1188C2×Dic67—42no—
1189C2×Dic67—44no—
1190C2×Dic67—44no—
1191C2×Dic67—44no—
1192C2×Dic67—44no—
1193C2×Dic67—44no—
1194C2×Dic67C2511yescharacteristic
1195C2×Dic67C2511yescharacteristic
1196C2×Dic67C2512yes—
1197C2×Dic67C2514yes—
1198C2×Dic67C2512yes—
1199C2×Dic67C2512yes—
1200C2×Dic67C2514yes—
1201C2×Dic67C2514yes—
1202C2×Dic67C2511yescharacteristic
1203C2×Dic67C2511yescharacteristic
1204D268—28no—
1205D268—24no—
1206D268—24no—
1207D268—24no—
1208D268—44no—
1209D268—42no—
1210D268—44no—
1211D268—42no—
1212D268—41no—
1213C4×D67—22no—
1214C4×D67—22no—
1215C4×D67—22no—
1216C4×D67—28no—
1217C4×D67—24no—
1218C4×D67—22no—
1219C4×D67—22no—
1220C4×D67—22no—
1221C4×D67—24no—
1222C4×D67—22no—
1223C4×D67—22no—
1224C4×D67—22no—
1225C4×D67—41no—
1226C4×D67—41no—
1227C4×D67—41no—
1228C4×D67—41no—
1229C4×D67—41no—
1230C4×D67—41no—
1231C4×D67—44no—
1232C4×D67—42no—
1233C4×D67—42no—
1234C4×D67—42no—
1235C4×D67—44no—
1236C4×D67—44no—
1237C4×D67—44no—
1238C4×D67—44no—
1239C4×D67H(5,𝔽2)14yescomplemented
1240Dic134—24no—
1241Dic134—24no—
1242Dic134—41no—
1243Dic134—42no—
1244Dic134—44no—
1245Dic134—44no—
1246C22×C67—21no—
1247C22×C67—21no—
1248C22×C67—21no—
1249C22×C67—21no—
1250C22×C67—24no—
1251C22×C67—21no—
1252C22×C67—22no—
1253C22×C67—22no—
1254C22×C67—24no—
1255C22×C67—24no—
1256C22×C67—24no—
1257C22×C67—21no—
1258C22×C67—22no—
1259C22×C67—24no—
1260C22×C67—24no—
1261C22×C67—21no—
1262C22×C67—44no—
1263C22×C67—84no—
1264C22×C67—84no—
1265C22×C67—164no—
1266C22×C67C2×H(5,𝔽2)12yes—
1267C22×C67#58512yes—
1268C22×C67C2611yescharacteristic
1269C2×D67—28no—
1270C2×D67—21no—
1271C2×D67—21no—
1272C2×D67—21no—
1273C2×D67—21no—
1274C2×D67—21no—
1275C2×D67—21no—
1276C2×D67—21no—
1277C2×D67—22no—
1278C2×D67—22no—
1279C2×D67—24no—
1280C2×D67—24no—
1281C2×D67—21no—
1282C2×D67—24no—
1283C2×D67—22no—
1284C2×D67—21no—
1285C2×D67—44no—
1286C2×D67—44no—
1287C2×D67—44no—
1288C2×D67—44no—
1289C2×D67—44no—
1290C2×D67—84no—
1291C2×D67—88no—
1292C2×D67—88no—
1293C2×D67—84no—
1294C2×D67—164no—
1295C2×D67C2×H(5,𝔽2)12yes—
1296C2×D67C2×H(5,𝔽2)12yes—
1297C2×D67C2×H(5,𝔽2)12yes—
1298C4×C67—22no—
1299C4×C67—21no—
1300C4×C67—22no—
1301C4×C67—21no—
1302C4×C67—24no—
1303C4×C67—21no—
1304C4×C67—22no—
1305C4×C67—24no—
1306C4×C67C2×H(5,𝔽2)12yes—
1307Dic67—22no—
1308Dic67—24no—
1309Dic67—22no—
1310Dic67—24no—
1311Dic67—24no—
1312Dic67—21no—
1313Dic67—21no—
1314Dic67—21no—
1315Dic67—22no—
1316Dic67C2×H(5,𝔽2)12yes—
1317#62818—671nomaximal, Sylow
1318C2×C67—22no—
1319C2×C67—22no—
1320C2×C67—41no—
1321C2×C67—44no—
1322C2×C67—42no—
1323C2×C67—44no—
1324C2×C67C22×H(5,𝔽2)11yescharacteristic
1325C2×C67C22×H(5,𝔽2)11yescharacteristic
1326C2×C67C2×#58511yescharacteristic
1327D67—22no—
1328D67—22no—
1329D67—22no—
1330D67—41no—
1331D67—44no—
1332D67—42no—
1333#3542—674no—
1334#3542—672no—
1335#3542—672no—
1336#3537—672no—
1337#3537—671no—
1338#3537D6711yescharacteristic, complemented
1339#3536—672no—
1340#3536—671no—
1341#3536—671no—
1342#3534—674no—
1343#3534—672no—
1344#3534—672no—
1345#3519—672no—
1346#3519—674no—
1347#3519—672no—
1348#3505—672no—
1349#3505—672no—
1350#3496—672no—
1351#3496—672no—
1352#3494—672no—
1353#3494—672no—
1354#3492—672no—
1355#3490—672no—
1356#3490—672no—
1357#3488—672no—
1358#3488—672no—
1359#3484—672no—
1360#3484—674no—
1361C2×#525—671no—
1362C2×#525—671no—
1363C22×#121—671no—
1364C67#6281811yescharacteristic, complemented, Sylow
1365C2×H(5,𝔽2)—672no—
1366C2×H(5,𝔽2)—674no—
1367C22×#41—671no—
1368C22×#41—671no—
1369C23×D4—672no—
1370C23×D4—671no—
1371C24×C4—671no—
1372#562—674no—
1373#562—674no—
1374#562—674no—
1375#562—674no—
1376#560—674no—
1377#560—674no—
1378#560—674no—
1379#560C2×D6714yescomplemented
1380#555—674no—
1381#555—672no—
1382#555—672no—
1383#554—672no—
1384#554—674no—
1385#554—672no—
1386#553—674no—
1387#553—672no—
1388#553—674no—
1389#553—674no—
1390#553—672no—
1391#553—674no—
1392#553—674no—
1393#553—672no—
1394#553—674no—
1395#553—674no—
1396#553—672no—
1397#553C2×D6712yescomplemented
1398#553C2×D6712yescomplemented
1399#552—674no—
1400#552—672no—
1401#552—672no—
1402#551—674no—
1403#551—674no—
1404#551—674no—
1405#551—674no—
1406#551—674no—
1407#551—674no—
1408#551—674no—
1409#551—674no—
1410#550—674no—
1411#550—672no—
1412#550—672no—
1413#548—674no—
1414#548—672no—
1415#548—672no—
1416#547—674no—
1417#547—674no—
1418#547—672no—
1419#547—672no—
1420#547—672no—
1421#547—672no—
1422#546—674no—
1423#546—672no—
1424#546—672no—
1425#546—674no—
1426#546—674no—
1427#546—674no—
1428#546—674no—
1429#546—674no—
1430#546—674no—
1431#546—674no—
1432#546—674no—
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—674no—
1443#546—674no—
1444#546—674no—
1445#546—674no—
1446#546—674no—
1447#546—672no—
1448#546—674no—
1449#546—672no—
1450#546—672no—
1451D42—674no—
1452D42—674no—
1453D42—674no—
1454D42—674no—
1455D42—672no—
1456D42—672no—
1457D42—674no—
1458D42—672no—
1459D42—672no—
1460D42—674no—
1461D42—674no—
1462D42—674no—
1463D42—674no—
1464D42—674no—
1465D42C2×D6712yescomplemented
1466D42C2×D6714yescomplemented
1467D42C2×D6712yescomplemented
1468#544—672no—
1469#543—672no—
1470#543—672no—
1471#542—674no—
1472#542—672no—
1473#542—672no—
1474#540—674no—
1475#540—674no—
1476#540—674no—
1477#540—672no—
1478#540—674no—
1479#540—674no—
1480#540C2×D6712yescomplemented
1481#539—674no—
1482#539—674no—
1483#539—674no—
1484#539—672no—
1485#539—672no—
1486#538—674no—
1487#538—674no—
1488#538—674no—
1489#538—672no—
1490#538—672no—
1491#538—674no—
1492#538—674no—
1493#538—674no—
1494#538—674no—
1495#538—672no—
1496#538—672no—
1497#538C2×D6712yescomplemented
1498#538C2×D6712yescomplemented
1499#537—672no—
1500#537—672no—
1501#537—672no—
1502#537—672no—
1503#537—674no—
1504#537—672no—
1505#537—674no—
1506#535—672no—
1507#535—674no—
1508#535—672no—
1509#535—674no—
1510#535—672no—
1511#535—674no—
1512#535C2×D6712yescomplemented
1513#534—672no—
1514#534—674no—
1515#534—674no—
1516#534—674no—
1517#534—674no—
1518#534—674no—
1519#534—674no—
1520#534—674no—
1521#534—672no—
1522#534C2×D6712yescomplemented
1523#534C2×D6712yescomplemented
1524#532—672no—
1525#532—674no—
1526#532—672no—
1527#529—672no—
1528#529—674no—
1529#529—672no—
1530#525—671no—
1531#525—671no—
1532#525—672no—
1533#525—671no—
1534#525—671no—
1535#525—672no—
1536#525—671no—
1537#525—672no—
1538#525—672no—
1539#525—672no—
1540#525—674no—
1541#525—672no—
1542#525—672no—
1543#525—671no—
1544#525—672no—
1545#525—672no—
1546#525—672no—
1547#525—672no—
1548#525—674no—
1549#525—672no—
1550#525—674no—
1551#525—672no—
1552#525—671no—
1553#525—672no—
1554#525C2×D6711yescharacteristic, complemented
1555C2×#123—672no—
1556C2×#123—672no—
1557C2×C22⋊Q8—671no—
1558C2×C22⋊Q8—671no—
1559C2×C22⋊Q8—671no—
1560C2×C22⋊Q8—671no—
1561C2×#121—671no—
1562C2×#121—672no—
1563C2×#121—671no—
1564C2×#121—672no—
1565C2×#121—674no—
1566C2×#121—671no—
1567C2×#121—672no—
1568C2×#121—672no—
1569C2×#121—672no—
1570C2×#121—672no—
1571C2×#121—672no—
1572C2×#121—672no—
1573C2×#121—672no—
1574C2×#121—672no—
1575C2×#121—671no—
1576C2×#121—671no—
1577C2×#121—672no—
1578C2×#121—671no—
1579C2×#121—672no—
1580C2×#121C2×D6711yescharacteristic, complemented
1581C2×#121C2×D6711yescharacteristic, complemented
1582C2×#120—672no—
1583C2×#120—674no—
1584C2×#120—672no—
1585C2×#120—674no—
1586#520—672no—
1587#520—672no—
1588#518—674no—
1589#518—674no—
1590#518—672no—
1591#518—674no—
1592C2×C4×D4—672no—
1593C2×C4×D4—672no—
1594C2×C4×D4—672no—
1595C2×C4×D4—672no—
1596C2×#117—671no—
1597C2×#117—671no—
1598C22×C4⋊C4—671no—
1599C22×C22⋊C4—672no—
1600C25—672no—
1601C25—671no—
1602H(5,𝔽2)—2688no—
1603H(5,𝔽2)—26816no—
1604C2×#41—2684no—
1605C2×#41—2684no—
1606C2×#41—671no—
1607C2×#41—672no—
1608C2×#41—672no—
1609C2×#41—671no—
1610C2×#41—672no—
1611C2×#41—672no—
1612C2×#41—674no—
1613C2×#41—672no—
1614C2×#41—674no—
1615C2×#41—674no—
1616C2×#41—674no—
1617C2×#41—674no—
1618C2×#41—672no—
1619C2×#41—671no—
1620C2×#41—674no—
1621C2×#41—672no—
1622C2×#41—674no—
1623C2×#41—672no—
1624C2×#41C22×D6711yescharacteristic, complemented
1625C22×Q8—671no—
1626C22×Q8—671no—
1627C22×D4—2688no—
1628C22×D4—2684no—
1629C22×D4—672no—
1630C22×D4—674no—
1631C22×D4—674no—
1632C22×D4—672no—
1633C22×D4—672no—
1634C22×D4—672no—
1635C22×D4—674no—
1636C22×D4—674no—
1637C22×D4—674no—
1638C22×D4—672no—
1639C22×D4—674no—
1640C22×D4—672no—
1641C22×D4—674no—
1642C22×D4—674no—
1643C22×D4—672no—
1644C22×D4—674no—
1645C22×D4—671no—
1646C22×D4—674no—
1647C22×D4—674no—
1648C22×D4—672no—
1649C22×D4—672no—
1650C22×D4—674no—
1651C22×D4—672no—
1652C22×D4—672no—
1653C22×D4—672no—
1654C22×D4—674no—
1655C22×D4—672no—
1656C22×D4—671no—
1657C22×D4—672no—
1658C22×D4C22×D6712yes—
1659C22×D4C22×D6714yes—
1660C22×D4C22×D6711yescharacteristic
1661C22×D4C22×D6712yes—
1662C22×D4C22×D6711yescharacteristic, complemented
1663C22×D4C22×D6714yescomplemented
1664C22×D4C22×D6712yescomplemented
1665C23×C4—2684no—
1666C23×C4—671no—
1667C23×C4—672no—
1668C23×C4—671no—
1669C23×C4—672no—
1670C23×C4—671no—
1671C23×C4—671no—
1672C23×C4—671no—
1673C23×C4—672no—
1674C23×C4—671no—
1675C23×C4—671no—
1676C23×C4—671no—
1677C23×C4—671no—
1678C23×C4—671no—
1679C23×C4—671no—
1680C23×C4—671no—
1681C23×C4—671no—
1682C23×C4C22×D6711yescharacteristic
1683C4⋊Q8—674no—
1684C4⋊Q8—672no—
1685C4⋊Q8—672no—
1686#127—672no—
1687#127—674no—
1688#127—674no—
1689#127—674no—
1690#127—674no—
1691#127C22×D6712yescomplemented
1692#127C22×D6714yescomplemented
1693#126—674no—
1694#126—674no—
1695#126—674no—
1696#126—674no—
1697#126—674no—
1698#126—674no—
1699#126—674no—
1700#126—674no—
1701#126—674no—
1702#126—674no—
1703#126C22×D6714yescomplemented
1704#126C22×D6714yescomplemented
1705#125—674no—
1706#125—672no—
1707#125—674no—
1708#125—674no—
1709#125—674no—
1710#125—674no—
1711#125C22×D6712yescomplemented
1712#124—672no—
1713#124—674no—
1714#124—674no—
1715#124—674no—
1716#124—674no—
1717#124—674no—
1718#124—674no—
1719#124—674no—
1720#124—674no—
1721#124—674no—
1722#124—674no—
1723#124—674no—
1724#124—672no—
1725#124—674no—
1726#124C22×D6714yescomplemented
1727#123—672no—
1728#123—674no—
1729#123—674no—
1730#123—674no—
1731#123—674no—
1732#123—674no—
1733#123—672no—
1734#123—672no—
1735#123—672no—
1736#123—674no—
1737#123—674no—
1738#123—674no—
1739#123—674no—
1740#123—674no—
1741#123—674no—
1742#123—672no—
1743#123—674no—
1744#123—672no—
1745#123—672no—
1746#123—674no—
1747#123—674no—
1748#123—674no—
1749#123—674no—
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—674no—
1761#123—674no—
1762#123—674no—
1763#123—674no—
1764#123—674no—
1765#123—674no—
1766#123C22×D6712yescomplemented
1767#123C22×D6714yescomplemented
1768#123C22×D6714yescomplemented
1769#123C22×D6714yescomplemented
1770#123C22×D6714yescomplemented
1771C22⋊Q8—671no—
1772C22⋊Q8—671no—
1773C22⋊Q8—674no—
1774C22⋊Q8—672no—
1775C22⋊Q8—671no—
1776C22⋊Q8—672no—
1777C22⋊Q8—671no—
1778C22⋊Q8—672no—
1779C22⋊Q8—672no—
1780C22⋊Q8—672no—
1781C22⋊Q8—674no—
1782C22⋊Q8—674no—
1783C22⋊Q8—672no—
1784C22⋊Q8—672no—
1785C22⋊Q8—672no—
1786C22⋊Q8—672no—
1787C22⋊Q8—672no—
1788C22⋊Q8—671no—
1789C22⋊Q8—672no—
1790C22⋊Q8—671no—
1791C22⋊Q8—672no—
1792C22⋊Q8—674no—
1793C22⋊Q8—674no—
1794C22⋊Q8—674no—
1795C22⋊Q8—674no—
1796C22⋊Q8—674no—
1797C22⋊Q8—674no—
1798C22⋊Q8—672no—
1799C22⋊Q8—672no—
1800C22⋊Q8—674no—
1801C22⋊Q8—674no—
1802C22⋊Q8—674no—
1803C22⋊Q8—674no—
1804C22⋊Q8—674no—
1805C22⋊Q8—674no—
1806C22⋊Q8—674no—
1807C22⋊Q8—674no—
1808C22⋊Q8C22×D6711yescharacteristic
1809C22⋊Q8C22×D6711yescharacteristic, complemented
1810#121—672no—
1811#121—674no—
1812#121—672no—
1813#121—672no—
1814#121—672no—
1815#121—674no—
1816#121—672no—
1817#121—674no—
1818#121—672no—
1819#121—674no—
1820#121—672no—
1821#121—672no—
1822#121—672no—
1823#121—672no—
1824#121—671no—
1825#121—671no—
1826#121—674no—
1827#121—674no—
1828#121—674no—
1829#121—672no—
1830#121—674no—
1831#121—672no—
1832#121—674no—
1833#121—674no—
1834#121—674no—
1835#121—674no—
1836#121—674no—
1837#121—674no—
1838#121—674no—
1839#121—674no—
1840#121—674no—
1841#121—674no—
1842#121—674no—
1843#121—674no—
1844#121—674no—
1845#121—674no—
1846#121—674no—
1847#121—674no—
1848#121—674no—
1849#121—674no—
1850#121—674no—
1851#121—674no—
1852#121—674no—
1853#121—674no—
1854#121—674no—
1855#121—674no—
1856#121—672no—
1857#121—672no—
1858#121—672no—
1859#121—672no—
1860#121—671no—
1861#121—671no—
1862#121—672no—
1863#121—674no—
1864#121—674no—
1865#121—674no—
1866#121—674no—
1867#121—672no—
1868#121—672no—
1869#121—672no—
1870#121—672no—
1871#121—671no—
1872#121—671no—
1873#121—672no—
1874#121—674no—
1875#121—674no—
1876#121—674no—
1877#121—674no—
1878#121—674no—
1879#121—672no—
1880#121—672no—
1881#121—674no—
1882#121—674no—
1883#121—674no—
1884#121—674no—
1885#121—674no—
1886#121—674no—
1887#121—674no—
1888#121—674no—
1889#121C22×D6712yes—
1890#121C22×D6712yes—
1891#121C22×D6712yes—
1892#121C22×D6712yes—
1893#121C22×D6711yescharacteristic
1894#121C22×D6712yes—
1895#121C22×D6712yes—
1896#121C22×D6714yes—
1897#121C22×D6711yescharacteristic, complemented
1898#121C22×D6712yescomplemented
1899#121C22×D6712yescomplemented
1900#121C22×D6712yescomplemented
1901#121C22×D6712yescomplemented
1902#121C22×D6714yescomplemented
1903#121C22×D6714yescomplemented
1904#121C22×D6714yescomplemented
1905#121C22×D6714yescomplemented
1906#121C22×D6714yescomplemented
1907#120—672no—
1908#120—674no—
1909#120—674no—
1910#120—674no—
1911#120—674no—
1912#120—674no—
1913#120—672no—
1914#120—672no—
1915#120—674no—
1916#120—674no—
1917#120—672no—
1918#120—674no—
1919#120—674no—
1920#120—674no—
1921#120—674no—
1922#120—674no—
1923#120—674no—
1924#120—674no—
1925#120—674no—
1926#120—674no—
1927#120—674no—
1928#120—674no—
1929#120—674no—
1930#120—674no—
1931#120—672no—
1932#120—672no—
1933#120—672no—
1934#120—674no—
1935#120—674no—
1936#120—674no—
1937#120—674no—
1938#120—674no—
1939#120—674no—
1940#120C22×D6712yes—
1941#120C22×D6714yes—
1942#120C22×D6714yescomplemented
1943#120C22×D6714yescomplemented
1944#120C22×D6714yescomplemented
1945#120C22×D6714yescomplemented
1946#120C22×D6714yescomplemented
1947C4×Q8—672no—
1948C4×Q8—674no—
1949C4×Q8—672no—
1950C4×D4—674no—
1951C4×D4—672no—
1952C4×D4—674no—
1953C4×D4—674no—
1954C4×D4—672no—
1955C4×D4—674no—
1956C4×D4—674no—
1957C4×D4—674no—
1958C4×D4—674no—
1959C4×D4—674no—
1960C4×D4—674no—
1961C4×D4—674no—
1962C4×D4—674no—
1963C4×D4—672no—
1964C4×D4—672no—
1965C4×D4—672no—
1966C4×D4—672no—
1967C4×D4—672no—
1968C4×D4—672no—
1969C4×D4—674no—
1970C4×D4—674no—
1971C4×D4—674no—
1972C4×D4—674no—
1973C4×D4—674no—
1974C4×D4—674no—
1975C4×D4—672no—
1976C4×D4—672no—
1977C4×D4—674no—
1978C4×D4—672no—
1979C4×D4—674no—
1980C4×D4—672no—
1981C4×D4—672no—
1982C4×D4—674no—
1983C4×D4—674no—
1984C4×D4—672no—
1985C4×D4—674no—
1986C4×D4—674no—
1987C4×D4—672no—
1988C4×D4—674no—
1989C4×D4—674no—
1990C4×D4—674no—
1991C4×D4—674no—
1992C4×D4—674no—
1993C4×D4—674no—
1994C4×D4—674no—
1995C4×D4—672no—
1996C4×D4—672no—
1997C4×D4—674no—
1998C4×D4—674no—
1999C4×D4—672no—
2000C4×D4—674no—
2001C4×D4C22×D6712yes—
2002C4×D4C22×D6714yes—
2003C4×D4C22×D6712yescomplemented
2004C4×D4C22×D6714yescomplemented
2005C4×D4C22×D6712yescomplemented
2006C4×D4C22×D6712yescomplemented
2007#117—671no—
2008#117—674no—
2009#117—674no—
2010#117—672no—
2011#117—672no—
2012#117—671no—
2013#117—672no—
2014#117—671no—
2015#117—672no—
2016#117—674no—
2017#117—674no—
2018#117—672no—
2019#117—672no—
2020#117—674no—
2021#117—672no—
2022#117—674no—
2023#117—674no—
2024#117C22×D6711yescharacteristic, complemented
2025#117C22×D6712yescomplemented
2026C2×C4⋊C4—672no—
2027C2×C4⋊C4—671no—
2028C2×C4⋊C4—671no—
2029C2×C4⋊C4—672no—
2030C2×C4⋊C4—672no—
2031C2×C4⋊C4—674no—
2032C2×C4⋊C4—672no—
2033C2×C4⋊C4—672no—
2034C2×C4⋊C4—672no—
2035C2×C4⋊C4—672no—
2036C2×C4⋊C4—672no—
2037C2×C4⋊C4—671no—
2038C2×C4⋊C4—671no—
2039C2×C4⋊C4—672no—
2040C2×C4⋊C4—672no—
2041C2×C4⋊C4—672no—
2042C2×C4⋊C4C22×D6711yescharacteristic
2043C2×C4⋊C4C22×D6711yescharacteristic, complemented
2044C2×C22⋊C4—672no—
2045C2×C22⋊C4—672no—
2046C2×C22⋊C4—672no—
2047C2×C22⋊C4—674no—
2048C2×C22⋊C4—674no—
2049C2×C22⋊C4—674no—
2050C2×C22⋊C4—672no—
2051C2×C22⋊C4—672no—
2052C2×C22⋊C4—672no—
2053C2×C22⋊C4—672no—
2054C2×C22⋊C4—674no—
2055C2×C22⋊C4—674no—
2056C2×C22⋊C4—674no—
2057C2×C22⋊C4—674no—
2058C2×C22⋊C4—674no—
2059C2×C22⋊C4—674no—
2060C2×C22⋊C4—674no—
2061C2×C22⋊C4—672no—
2062C2×C22⋊C4—672no—
2063C2×C22⋊C4—672no—
2064C2×C22⋊C4—672no—
2065C2×C22⋊C4—672no—
2066C2×C22⋊C4—674no—
2067C2×C22⋊C4—674no—
2068C2×C22⋊C4—674no—
2069C2×C22⋊C4—674no—
2070C2×C22⋊C4C22×D6712yes—
2071C2×C22⋊C4C22×D6712yescomplemented
2072C2×C42—672no—
2073C2×C42—672no—
2074C24—2682no—
2075C24—2684no—
2076C24—2682no—
2077C24—2684no—
2078C24—2684no—
2079C24—674no—
2080C24—671no—
2081C24—672no—
2082C24—674no—
2083C24—674no—
2084C24—672no—
2085C24—671no—
2086C24—671no—
2087C24—671no—
2088C24—671no—
2089C24—671no—
2090C24—1344no—
2091C24C23×D6711yescharacteristic
2092C24C23×D6712yes—
2093C24C23×D6712yes—
2094C24C23×D6714yes—
2095#41—42no—
2096#41—2684no—
2097#41—2682no—
2098#41—2688no—
2099#41—2688no—
2100#41—2684no—
2101#41—2684no—
2102#41—2688no—
2103#41—2688no—
2104#41—2684no—
2105#41—2688no—
2106#41—2684no—
2107#41—2682no—
2108#41—2688no—
2109#41—2688no—
2110#41—2682no—
2111#41—2684no—
2112#41—1348no—
2113#41—1348no—
2114C2×Q8—2682no—
2115C2×Q8—2682no—
2116C2×Q8—672no—
2117C2×Q8—671no—
2118C2×Q8—674no—
2119C2×Q8—674no—
2120C2×Q8—672no—
2121C2×Q8—672no—
2122C2×Q8C23×D6711yescharacteristic
2123C2×D4—42no—
2124C2×D4—42no—
2125C2×D4—44no—
2126C2×D4—44no—
2127C2×D4—44no—
2128C2×D4—48no—
2129C2×D4—48no—
2130C2×D4—2682no—
2131C2×D4—2684no—
2132C2×D4—2688no—
2133C2×D4—2684no—
2134C2×D4—2688no—
2135C2×D4—2688no—
2136C2×D4—2684no—
2137C2×D4—2688no—
2138C2×D4—2688no—
2139C2×D4—2688no—
2140C2×D4—2684no—
2141C2×D4—2688no—
2142C2×D4—2684no—
2143C2×D4—2684no—
2144C2×D4—2688no—
2145C2×D4—2688no—
2146C2×D4—2688no—
2147C2×D4—2684no—
2148C2×D4—2684no—
2149C2×D4—2684no—
2150C2×D4—2688no—
2151C2×D4—2684no—
2152C2×D4—2682no—
2153C2×D4—2684no—
2154C2×D4—2688no—
2155C2×D4—674no—
2156C2×D4—672no—
2157C2×D4—672no—
2158C2×D4—674no—
2159C2×D4—674no—
2160C2×D4—674no—
2161C2×D4—674no—
2162C2×D4—674no—
2163C2×D4—674no—
2164C2×D4—674no—
2165C2×D4—674no—
2166C2×D4—674no—
2167C2×D4—674no—
2168C2×D4—674no—
2169C2×D4—672no—
2170C2×D4—674no—
2171C2×D4—672no—
2172C2×D4—672no—
2173C2×D4—674no—
2174C2×D4—674no—
2175C2×D4—672no—
2176C2×D4—674no—
2177C2×D4—674no—
2178C2×D4—674no—
2179C2×D4—672no—
2180C2×D4—674no—
2181C2×D4—672no—
2182C2×D4—671no—
2183C2×D4—672no—
2184C2×D4—674no—
2185C2×D4—672no—
2186C2×D4—672no—
2187C2×D4—674no—
2188C2×D4—672no—
2189C2×D4—1348no—
2190C2×D4—13416no—
2191C2×D4—1348no—
2192C2×D4—1348no—
2193C2×D4C23×D6714yes—
2194C2×D4C23×D6712yes—
2195C2×D4C23×D6712yes—
2196C2×D4C23×D6714yes—
2197C2×D4C23×D6712yes—
2198C2×D4C23×D6712yes—
2199C2×D4C23×D6714yes—
2200C2×D4C23×D6714yes—
2201C2×D4C23×D6714yes—
2202C2×D4C23×D6712yes—
2203C2×D4C23×D6712yes—
2204C2×D4C23×D6714yes—
2205C2×D4C23×D6714yes—
2206C2×D4C23×D6711yescharacteristic
2207C2×D4C23×D6712yes—
2208C2×D4C23×D6714yes—
2209C2×D4C23×D6714yes—
2210C22×C4—42no—
2211C22×C4—2682no—
2212C22×C4—2682no—
2213C22×C4—2682no—
2214C22×C4—2684no—
2215C22×C4—2682no—
2216C22×C4—2682no—
2217C22×C4—2682no—
2218C22×C4—2684no—
2219C22×C4—2682no—
2220C22×C4—2682no—
2221C22×C4—2682no—
2222C22×C4—2682no—
2223C22×C4—2684no—
2224C22×C4—671no—
2225C22×C4—671no—
2226C22×C4—672no—
2227C22×C4—672no—
2228C22×C4—672no—
2229C22×C4—674no—
2230C22×C4—674no—
2231C22×C4—674no—
2232C22×C4—674no—
2233C22×C4—674no—
2234C22×C4—671no—
2235C22×C4—672no—
2236C22×C4—671no—
2237C22×C4—671no—
2238C22×C4—671no—
2239C22×C4—672no—
2240C22×C4—674no—
2241C22×C4—671no—
2242C22×C4—674no—
2243C22×C4—672no—
2244C22×C4—674no—
2245C22×C4—674no—
2246C22×C4—674no—
2247C22×C4—671no—
2248C22×C4—671no—
2249C22×C4—671no—
2250C22×C4—671no—
2251C22×C4—672no—
2252C22×C4—671no—
2253C22×C4—674no—
2254C22×C4—671no—
2255C22×C4—671no—
2256C22×C4—672no—
2257C22×C4—671no—
2258C22×C4—671no—
2259C22×C4—674no—
2260C22×C4—671no—
2261C22×C4—671no—
2262C22×C4—671no—
2263C22×C4—671no—
2264C22×C4—672no—
2265C22×C4—671no—
2266C22×C4—671no—
2267C22×C4—1344no—
2268C22×C4—1344no—
2269C22×C4—1344no—
2270C22×C4C23×D6711yescharacteristic
2271C22×C4C23×D6711yescharacteristic
2272C22×C4C23×D6712yes—
2273C22×C4C23×D6711yescharacteristic
2274C22×C4C23×D6712yes—
2275C22×C4C23×D6711yescharacteristic
2276C22×C4C23×D6714yes—
2277C22×C4C23×D6712yes—
2278C22×C4C23×D6714yes—
2279C22×C4C23×D6711yescharacteristic
2280C22×C4C23×D6711yescharacteristic
2281C4⋊C4—674no—
2282C4⋊C4—672no—
2283C4⋊C4—672no—
2284C4⋊C4—672no—
2285C4⋊C4—674no—
2286C4⋊C4—672no—
2287C4⋊C4—672no—
2288C4⋊C4—672no—
2289C4⋊C4—674no—
2290C4⋊C4—672no—
2291C4⋊C4—672no—
2292C4⋊C4—671no—
2293C4⋊C4—671no—
2294C4⋊C4—672no—
2295C4⋊C4—674no—
2296C4⋊C4—674no—
2297C4⋊C4—672no—
2298C4⋊C4—672no—
2299C4⋊C4—672no—
2300C4⋊C4—674no—
2301C4⋊C4—674no—
2302C4⋊C4—674no—
2303C4⋊C4—674no—
2304C4⋊C4—674no—
2305C4⋊C4—674no—
2306C4⋊C4—674no—
2307C4⋊C4—674no—
2308C4⋊C4—674no—
2309C4⋊C4—674no—
2310C4⋊C4—674no—
2311C4⋊C4C23×D6712yes—
2312C4⋊C4C23×D6712yes—
2313C4⋊C4C23×D6711yescharacteristic
2314C4⋊C4C23×D6711yescharacteristic
2315C4⋊C4C23×D6712yes—
2316C4⋊C4C23×D6712yes—
2317C4⋊C4C23×D6712yes—
2318C4⋊C4C23×D6712yes—
2319C4⋊C4C23×D6714yes—
2320C4⋊C4C23×D6714yes—
2321C22⋊C4—674no—
2322C22⋊C4—674no—
2323C22⋊C4—674no—
2324C22⋊C4—672no—
2325C22⋊C4—674no—
2326C22⋊C4—672no—
2327C22⋊C4—674no—
2328C22⋊C4—674no—
2329C22⋊C4—672no—
2330C22⋊C4—672no—
2331C22⋊C4—674no—
2332C22⋊C4—674no—
2333C22⋊C4—674no—
2334C22⋊C4—674no—
2335C22⋊C4—674no—
2336C22⋊C4—674no—
2337C22⋊C4—672no—
2338C22⋊C4—674no—
2339C22⋊C4—674no—
2340C22⋊C4—674no—
2341C22⋊C4—672no—
2342C22⋊C4—672no—
2343C22⋊C4—674no—
2344C22⋊C4—674no—
2345C22⋊C4—672no—
2346C22⋊C4—672no—
2347C22⋊C4—672no—
2348C22⋊C4—674no—
2349C22⋊C4—674no—
2350C22⋊C4—674no—
2351C22⋊C4—674no—
2352C22⋊C4—674no—
2353C22⋊C4—674no—
2354C22⋊C4—674no—
2355C22⋊C4—674no—
2356C22⋊C4—674no—
2357C22⋊C4—674no—
2358C22⋊C4—674no—
2359C22⋊C4—672no—
2360C22⋊C4—672no—
2361C22⋊C4—672no—
2362C22⋊C4—672no—
2363C22⋊C4—672no—
2364C22⋊C4—674no—
2365C22⋊C4C23×D6712yes—
2366C22⋊C4C23×D6714yes—
2367C22⋊C4C23×D6714yes—
2368C22⋊C4C23×D6712yes—
2369C22⋊C4C23×D6712yes—
2370C22⋊C4C23×D6714yes—
2371C22⋊C4C23×D6712yes—
2372C22⋊C4C23×D6714yes—
2373C22⋊C4C23×D6714yes—
2374C22⋊C4C23×D6712yes—
2375C22⋊C4C23×D6714yes—
2376C22⋊C4C23×D6714yes—
2377C22⋊C4C23×D6714yes—
2378C22⋊C4C23×D6714yes—
2379C42—672no—
2380C42—674no—
2381C42—672no—
2382C42—674no—
2383C42—672no—
2384C42—674no—
2385C42—674no—
2386C42—674no—
2387C42C23×D6712yes—
2388C42C23×D6714yes—
2389C23—22no—
2390C23—22no—
2391C23—24no—
2392C23—24no—
2393C23—41no—
2394C23—42no—
2395C23—42no—
2396C23—42no—
2397C23—42no—
2398C23—44no—
2399C23—44no—
2400C23—44no—
2401C23—2681no—
2402C23—2681no—
2403C23—2681no—
2404C23—2681no—
2405C23—2681no—
2406C23—2681no—
2407C23—2681no—
2408C23—2682no—
2409C23—2682no—
2410C23—2682no—
2411C23—2684no—
2412C23—2684no—
2413C23—2682no—
2414C23—2684no—
2415C23—2684no—
2416C23—2684no—
2417C23—2684no—
2418C23—2684no—
2419C23—26816no—
2420C23—53616no—
2421C23—674no—
2422C23—671no—
2423C23—671no—
2424C23—671no—
2425C23—674no—
2426C23—671no—
2427C23—672no—
2428C23—1342no—
2429C23—1342no—
2430C23—1342no—
2431C23—1342no—
2432C23—1342no—
2433C23—1344no—
2434C23—1348no—
2435C23—1348no—
2436C23—1342no—
2437C23—1342no—
2438C23—1342no—
2439C23—1342no—
2440C23—1344no—
2441C23—1342no—
2442C23C24×D6714yes—
2443C23C24×D6711yescharacteristic
2444C23C24×D6712yes—
2445C23C24×D6714yes—
2446C23C24×D6711yescharacteristic
2447C23C24×D6711yescharacteristic
2448Q8—41no—
2449Q8—2682no—
2450Q8—2681no—
2451Q8—2684no—
2452Q8—2684no—
2453Q8—1344no—
2454Q8—1344no—
2455D4—28no—
2456D4—24no—
2457D4—28no—
2458D4—24no—
2459D4—24no—
2460D4—24no—
2461D4—42no—
2462D4—44no—
2463D4—44no—
2464D4—44no—
2465D4—44no—
2466D4—42no—
2467D4—44no—
2468D4—44no—
2469D4—44no—
2470D4—41no—
2471D4—42no—
2472D4—2682no—
2473D4—2684no—
2474D4—2681no—
2475D4—2684no—
2476D4—2682no—
2477D4—2684no—
2478D4—2684no—
2479D4—2684no—
2480D4—2684no—
2481D4—2684no—
2482D4—2684no—
2483D4—2684no—
2484D4—2684no—
2485D4—2684no—
2486D4—2684no—
2487D4—2682no—
2488D4—2684no—
2489D4—2684no—
2490D4—2682no—
2491D4—1348no—
2492D4—1344no—
2493D4—1344no—
2494D4—1348no—
2495D4—1344no—
2496D4—1348no—
2497D4—1344no—
2498D4—1348no—
2499D4—1348no—
2500D4—1348no—
2501D4—1344no—
2502D4—1348no—
2503D4—1344no—
2504D4—1344no—
2505D4—1344no—
2506C2×C4—22no—
2507C2×C4—22no—
2508C2×C4—22no—
2509C2×C4—24no—
2510C2×C4—41no—
2511C2×C4—41no—
2512C2×C4—41no—
2513C2×C4—42no—
2514C2×C4—44no—
2515C2×C4—42no—
2516C2×C4—44no—
2517C2×C4—2681no—
2518C2×C4—2681no—
2519C2×C4—2681no—
2520C2×C4—2681no—
2521C2×C4—2681no—
2522C2×C4—2681no—
2523C2×C4—2684no—
2524C2×C4—2682no—
2525C2×C4—2682no—
2526C2×C4—2684no—
2527C2×C4—2684no—
2528C2×C4—2684no—
2529C2×C4—2684no—
2530C2×C4—2682no—
2531C2×C4—2681no—
2532C2×C4—2681no—
2533C2×C4—2681no—
2534C2×C4—2682no—
2535C2×C4—2682no—
2536C2×C4—2682no—
2537C2×C4—2684no—
2538C2×C4—2684no—
2539C2×C4—2684no—
2540C2×C4—2684no—
2541C2×C4—2684no—
2542C2×C4—671no—
2543C2×C4—674no—
2544C2×C4—672no—
2545C2×C4—671no—
2546C2×C4—671no—
2547C2×C4—672no—
2548C2×C4—674no—
2549C2×C4—672no—
2550C2×C4—674no—
2551C2×C4—674no—
2552C2×C4—671no—
2553C2×C4—1342no—
2554C2×C4—1342no—
2555C2×C4—1342no—
2556C2×C4—1342no—
2557C2×C4—1342no—
2558C2×C4—1342no—
2559C2×C4—1348no—
2560C2×C4—1344no—
2561C2×C4—1342no—
2562C2×C4—1342no—
2563C2×C4—1342no—
2564C2×C4—1348no—
2565C2×C4—1344no—
2566C2×C4—1342no—
2567C2×C4—1342no—
2568C2×C4—1342no—
2569C2×C4—1344no—
2570C2×C4C24×D6714yes—
2571C2×C4C24×D6712yes—
2572C2×C4C24×D6712yes—
2573C2×C4C24×D6714yes—
2574C2×C4C24×D6712yes—
2575C2×C4C24×D6711yescharacteristic
2576C2×C4C24×D6711yescharacteristic
2577C2×C4C24×D6711yescharacteristic
2578C2×C4C24×D6711yescharacteristic
2579C22—21no—
2580C22—21no—
2581C22—21no—
2582C22—21no—
2583C22—21no—
2584C22—22no—
2585C22—24no—
2586C22—22no—
2587C22—24no—
2588C22—24no—
2589C22—24no—
2590C22—21no—
2591C22—24no—
2592C22—24no—
2593C22—22no—
2594C22—21no—
2595C22—44no—
2596C22—84no—
2597C22—84no—
2598C22—2684no—
2599C22—2684no—
2600C22—2684no—
2601C22—2684no—
2602C22—2684no—
2603C22—164no—
2604C22—5364no—
2605C22—5368no—
2606C22—5368no—
2607C22—5364no—
2608C22—10724no—
2609C22—672no—
2610C22—672no—
2611C22—672no—
2612C22—1348no—
2613C22—1341no—
2614C22—1342no—
2615C22—1342no—
2616C22—1344no—
2617C22—1344no—
2618C22—1341no—
2619C22—1344no—
2620C22—1341no—
2621C22—1342no—
2622C22—1341no—
2623C22—1341no—
2624C22—1341no—
2625C22—1341no—
2626C22—1341no—
2627C22—1341no—
2628C22H(5,𝔽2)×D6712yes—
2629C22#1686423112yes—
2630C22C25×D6711yescharacteristic
2631C4—21no—
2632C4—21no—
2633C4—21no—
2634C4—22no—
2635C4—24no—
2636C4—22no—
2637C4—24no—
2638C4—22no—
2639C4—672no—
2640C4—1341no—
2641C4—1341no—
2642C4—1341no—
2643C4—1344no—
2644C4—1342no—
2645C4—1344no—
2646C4—1344no—
2647C4—1342no—
2648C4—1342no—
2649C4H(5,𝔽2)×D6712yes—
2650C2—22no—
2651C2—22no—
2652C2—41no—
2653C2—44no—
2654C2—44no—
2655C2—42no—
2656C2—2681no—
2657C2—2684no—
2658C2—2682no—
2659C2—1342no—
2660C2—1342no—
2661C2—1342no—
2662C2C2×H(5,𝔽2)×D6711yescharacteristic
2663C2C2×H(5,𝔽2)×D6711yescharacteristic
2664C2C2×#1686423111yescharacteristic
subgroupG/H
center, FrattiniC22C25×D67
commutator, socle, cosocleC22×C67C26
FittingC67×#3537C2
hypercenter#3537D67
hypocenterC67#62818
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C22 ◁ #3537

Complements

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

NH ≅ G/Ntype
1. #22574531C2semidirect
2. #22574527C2semidirect
3. #22574514C2semidirect
4. #22574446C2semidirect
5. #22574444C2semidirect
6. #22574436C2semidirect
7. #22574431C2semidirect
8. #22574430C2semidirect
9. #22574400C2semidirect
10. #22574396C2semidirect
11. #22574390C2semidirect
12. #22574234C2semidirect
13. #22574232C2semidirect
14. #22574228C2semidirect
15. #22574047C2semidirect
16. #22574038C2semidirect
17. #22573970C2semidirect
18. #22573965C2semidirect
19. #22573940C2semidirect
20. #22573936C2semidirect
21. #22573913C2semidirect
22. #22573897C2semidirect
23. #22573895C2semidirect
24. #22573876C2semidirect
25. #22573869C2semidirect
26. #22573837C2semidirect
27. #22573837C2semidirect
28. C2×#16863906C2semidirect
29. #525×D67C2semidirect
30. C2×#121×D67C2semidirect
31. C67×#3537C2semidirect
32. C2×#14524088C22semidirect
33. C2×#14524088C22semidirect
34. C22×#11761627C22semidirect
35. C2×#41×D67C22semidirect
36. C22×D4×D67C22semidirect
37. C22×D4×D67C22semidirect
38. C23×C4×D67C22semidirect
39. #16864143C22semidirect
40. #16864143C22semidirect
41. #16864141C22semidirect
42. #16864140C22semidirect
43. #16864136C22semidirect
44. #16864135C22semidirect
45. #16864134C22semidirect
46. #16864111C22semidirect
47. #16864110C22semidirect
48. #16864109C22semidirect
49. #16864105C22semidirect
50. #16864103C22semidirect
51. #16864101C22semidirect
52. #16864099C22semidirect
53. #16864098C22semidirect
54. #16864098C22semidirect
55. #16864098C22semidirect
56. #16864097C22semidirect
57. #16864094C22semidirect
58. #16864093C22semidirect
59. #16864092C22semidirect
60. #16864091C22semidirect
61. #16864089C22semidirect
62. #16864089C22semidirect
63. #16864085C22semidirect
64. #16864084C22semidirect
65. #16864082C22semidirect
66. #16864076C22semidirect
67. #16864074C22semidirect
68. #16864071C22semidirect
69. #16864071C22semidirect
70. #16864069C22semidirect
71. #16864069C22semidirect
72. #16864069C22semidirect
73. #16864069C22semidirect
74. #16864066C22semidirect
75. #16864066C22semidirect
76. #16864064C22semidirect
77. #16864055C22semidirect
78. #16864054C22semidirect
79. #16864052C22semidirect
80. #16864051C22semidirect
81. #16864050C22semidirect
82. #16864046C22semidirect
83. #16864046C22semidirect
84. #16864044C22semidirect
85. #16864044C22semidirect
86. #16864043C22semidirect
87. #16864043C22semidirect
88. #16864043C22semidirect
89. #16864042C22semidirect
90. #16864042C22semidirect
91. #16864041C22semidirect
92. #16864041C22semidirect
93. #16864041C22semidirect
94. #16864040C22semidirect
95. #16864040C22semidirect
96. #16864040C22semidirect
97. #16864040C22semidirect
98. #16864039C22semidirect
99. #16864038C22semidirect
100. #16864038C22semidirect
101. #16864035C22semidirect
102. #16864035C22semidirect
103. #16864035C22semidirect
104. #16864035C22semidirect
105. #16864033C22semidirect
106. #16864033C22semidirect
107. #16864033C22semidirect
108. #16864033C22semidirect
109. #16864033C22semidirect
110. #16864033C22semidirect
111. #16864033C22semidirect
112. #16864033C22semidirect
113. #16864033C22semidirect
114. #16864033C22semidirect
115. #16864031C22semidirect
116. #16864031C22semidirect
117. #16864030C22semidirect
118. #16864030C22semidirect
119. D4×C22⋊D67C22semidirect
120. D4×C22⋊D67C22semidirect
121. D4×C22⋊D67C22semidirect
122. D4×C22⋊D67C22semidirect
123. D4×C22⋊D67C22semidirect
124. D4×C22⋊D67C22semidirect
125. #16864028C22semidirect
126. #16864028C22semidirect
127. #16864028C22semidirect
128. #16864028C22semidirect
129. #16864026C22semidirect
130. #16864022C22semidirect
131. #16864021C22semidirect
132. #16864017C22semidirect
133. #16864013C22semidirect
134. #16864012C22semidirect
135. #16864000C22semidirect
136. #16863999C22semidirect
137. #16863999C22semidirect
138. #16863999C22semidirect
139. #16863998C22semidirect
140. #16863998C22semidirect
141. #16863995C22semidirect
142. #16863991C22semidirect
143. #16863989C22semidirect
144. #16863987C22semidirect
145. #16863987C22semidirect
146. #16863985C22semidirect
147. #16863984C22semidirect
148. #16863984C22semidirect
149. #16863983C22semidirect
150. #16863983C22semidirect
151. #16863983C22semidirect
152. #16863983C22semidirect
153. #16863982C22semidirect
154. #16863981C22semidirect
155. #16863981C22semidirect
156. #16863981C22semidirect
157. #16863975C22semidirect
158. #16863975C22semidirect
159. #16863975C22semidirect
160. #16863974C22semidirect
161. #16863973C22semidirect
162. #16863973C22semidirect
163. #16863973C22semidirect
164. #16863962C22semidirect
165. #16863962C22semidirect
166. #16863962C22semidirect
167. #16863961C22semidirect
168. #16863959C22semidirect
169. #16863959C22semidirect
170. #16863958C22semidirect
171. #16863956C22semidirect
172. #16863956C22semidirect
173. #16863956C22semidirect
174. #16863956C22semidirect
175. #16863954C22semidirect
176. #16863954C22semidirect
177. #16863954C22semidirect
178. #16863954C22semidirect
179. #16863944C22semidirect
180. #16863943C22semidirect
181. #16863941C22semidirect
182. #16863931C22semidirect
183. #16863928C22semidirect
184. #16863926C22semidirect
185. #16863909C22semidirect
186. #16863909C22semidirect
187. #16863908C22semidirect
188. #16863908C22semidirect
189. #16863907C22semidirect
190. #16863906C22semidirect
191. #16863906C22semidirect
192. #16863906C22semidirect
193. #16863906C22semidirect
194. #16863906C22semidirect
195. #16863906C22semidirect
196. #16863906C22semidirect
197. #16863906C22semidirect
198. #16863906C22semidirect
199. #16863906C22semidirect
200. #16863906C22semidirect
201. #16863906C22semidirect
202. #16863905C22semidirect
203. #16863905C22semidirect
204. #16863905C22semidirect
205. #16863904C22semidirect
206. #16863903C22semidirect
207. #16863902C22semidirect
208. #16863902C22semidirect
209. C2×#14524025C22semidirect
210. #123×D67C22semidirect
211. C2×#14524023C22semidirect
212. C2×#14524022C22semidirect
213. C22⋊Q8×D67C22semidirect
214. C22⋊Q8×D67C22semidirect
215. C2×#14524018C22semidirect
216. C2×#14524017C22semidirect
217. C2×#14524016C22semidirect
218. C2×#14524015C22semidirect
219. C2×#14524015C22semidirect
220. C2×#14524014C22semidirect
221. C2×#14524014C22semidirect
222. C2×#14524014C22semidirect
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. #121×D67C22semidirect
233. #121×D67C22semidirect
234. C2×#14524011C22semidirect
235. C2×#14524011C22semidirect
236. #120×D67C22semidirect
237. #120×D67C22semidirect
238. #16863876C22semidirect
239. #16863875C22semidirect
240. #16863871C22semidirect
241. #16863868C22semidirect
242. #16863868C22semidirect
243. #16863868C22semidirect
244. C2×D4×Dic67C22semidirect
245. C2×(C22⋊D67)⋊C4C22semidirect
246. C4×D4×D67C22semidirect
247. C4×D4×D67C22semidirect
248. C2×#14524001C22semidirect
249. #117×D67C22semidirect
250. C2×C4⋊C4×D67C22semidirect
251. C2×C22⋊C4×D67C22semidirect
252. #560×C67C22semidirect
253. #553×C67C22semidirect
254. #553×C67C22semidirect
255. D42×C67C22semidirect
256. D42×C67C22semidirect
257. D42×C67C22semidirect
258. #540×C67C22semidirect
259. #538×C67C22semidirect
260. #538×C67C22semidirect
261. #535×C67C22semidirect
262. #534×C67C22semidirect
263. #534×C67C22semidirect
264. #525×C67C22semidirect
265. C2×#121×C67C22semidirect
266. C2×#121×C67C22semidirect
274. C2×#11761628C23semidirect
275. C2×#11761628C23semidirect
276. C2×#11761628C23semidirect
282. C2×#11761627C23semidirect
283. C2×#11761627C23semidirect
284. C2×#11761627C23semidirect
285. C2×#11761627C23semidirect
286. C2×#11761627C23semidirect
287. C2×#11761627C23semidirect
288. C2×#11761627C23semidirect
289. C2×#11761627C23semidirect
291. C22×Dic134C23semidirect
292. C2×Q8×D67C23semidirect
302. C22×C22⋊D67C23semidirect
303. C22×C22⋊D67C23semidirect
304. C22×C22⋊D67C23semidirect
321. C2×D4×D67C23semidirect
322. C2×D4×D67C23semidirect
323. C2×D4×D67C23semidirect
325. C23×Dic67C23semidirect
340. C22×C4×D67C23semidirect
341. #14524043C23semidirect
342. #14524042C23semidirect
343. #14524042C23semidirect
344. #14524039C23semidirect
345. #14524039C23semidirect
346. #14524039C23semidirect
347. #14524039C23semidirect
348. #14524039C23semidirect
349. #14524038C23semidirect
350. #14524038C23semidirect
351. #14524038C23semidirect
352. #14524038C23semidirect
353. #14524038C23semidirect
354. #14524036C23semidirect
355. #14524036C23semidirect
356. #14524036C23semidirect
357. #14524036C23semidirect
358. #14524036C23semidirect
359. #14524035C23semidirect
360. #14524034C23semidirect
361. #14524034C23semidirect
362. #14524034C23semidirect
363. #14524033C23semidirect
364. #14524033C23semidirect
365. #14524031C23semidirect
366. #14524031C23semidirect
367. #14524030C23semidirect
368. #14524030C23semidirect
369. #14524030C23semidirect
370. #14524029C23semidirect
371. #14524029C23semidirect
372. #14524029C23semidirect
373. #14524029C23semidirect
374. #14524029C23semidirect
375. #14524029C23semidirect
376. #14524029C23semidirect
377. #14524029C23semidirect
378. #14524029C23semidirect
382. #14524028C23semidirect
383. #14524028C23semidirect
384. #14524028C23semidirect
385. #14524028C23semidirect
386. #14524027C23semidirect
387. #14524027C23semidirect
388. #14524027C23semidirect
389. #14524027C23semidirect
390. #14524027C23semidirect
391. #14524027C23semidirect
392. #14524027C23semidirect
393. #14524027C23semidirect
394. #14524027C23semidirect
395. #14524026C23semidirect
403. #14524025C23semidirect
404. #14524025C23semidirect
405. #14524025C23semidirect
406. #14524025C23semidirect
407. #14524025C23semidirect
408. #14524025C23semidirect
409. #14524025C23semidirect
410. #14524025C23semidirect
411. #14524025C23semidirect
412. #14524024C23semidirect
413. #14524024C23semidirect
414. #14524024C23semidirect
415. #14524024C23semidirect
416. #14524024C23semidirect
417. #14524024C23semidirect
422. #14524023C23semidirect
423. #14524023C23semidirect
424. #14524023C23semidirect
425. #14524023C23semidirect
426. #14524023C23semidirect
431. #14524022C23semidirect
432. #14524022C23semidirect
433. #14524022C23semidirect
434. #14524022C23semidirect
435. #14524022C23semidirect
438. #14524021C23semidirect
439. #14524021C23semidirect
440. #14524021C23semidirect
441. #14524021C23semidirect
444. #14524020C23semidirect
445. #14524020C23semidirect
446. #14524020C23semidirect
447. #14524020C23semidirect
448. #14524020C23semidirect
449. #14524020C23semidirect
450. #14524020C23semidirect
451. #14524020C23semidirect
453. #14524019C23semidirect
454. #14524019C23semidirect
460. #14524018C23semidirect
461. #14524018C23semidirect
462. #14524018C23semidirect
468. #14524017C23semidirect
469. #14524017C23semidirect
470. #14524017C23semidirect
471. #14524017C23semidirect
472. #14524017C23semidirect
473. #14524017C23semidirect
480. #14524016C23semidirect
481. #14524016C23semidirect
482. #14524016C23semidirect
483. #14524016C23semidirect
484. #14524016C23semidirect
485. #14524016C23semidirect
486. #14524016C23semidirect
487. #14524016C23semidirect
494. #14524015C23semidirect
495. #14524015C23semidirect
496. #14524015C23semidirect
497. #14524015C23semidirect
498. #14524015C23semidirect
499. #14524015C23semidirect
500. #14524015C23semidirect
501. #14524015C23semidirect
502. #14524015C23semidirect
503. #14524015C23semidirect
504. #14524015C23semidirect
505. #14524015C23semidirect
506. #14524015C23semidirect
507. #14524015C23semidirect
508. #14524015C23semidirect
509. #14524015C23semidirect
510. #14524015C23semidirect
511. #14524015C23semidirect
512. #14524015C23semidirect
521. #14524014C23semidirect
522. #14524014C23semidirect
523. #14524014C23semidirect
524. #14524014C23semidirect
525. #14524014C23semidirect
526. #14524014C23semidirect
527. #14524014C23semidirect
528. #14524014C23semidirect
529. #14524014C23semidirect
530. #14524014C23semidirect
531. #14524014C23semidirect
532. #14524014C23semidirect
533. #14524014C23semidirect
539. #14524013C23semidirect
540. #14524013C23semidirect
541. #14524013C23semidirect
542. #14524013C23semidirect
545. #14524012C23semidirect
546. #14524012C23semidirect
547. #14524012C23semidirect
563. #14524011C23semidirect
564. #14524011C23semidirect
565. #14524011C23semidirect
566. #14524011C23semidirect
567. C4×Dic134C23semidirect
568. C4×Dic134C23semidirect
569. #14524008C23semidirect
572. C4×D268C23semidirect
573. C4×D268C23semidirect
574. C4×D268C23semidirect
575. C4×D268C23semidirect
581. D4×Dic67C23semidirect
582. D4×Dic67C23semidirect
583. D4×Dic67C23semidirect
584. D4×Dic67C23semidirect
585. D4×Dic67C23semidirect
586. D4×Dic67C23semidirect
587. D4×Dic67C23semidirect
588. D4×Dic67C23semidirect
589. D4×Dic67C23semidirect
590. D4×Dic67C23semidirect
592. #14524005C23semidirect
593. #14524005C23semidirect
594. #14524005C23semidirect
595. #14524005C23semidirect
600. C4×C22⋊D67C23semidirect
601. C4×C22⋊D67C23semidirect
602. C4×C22⋊D67C23semidirect
603. C4×C22⋊D67C23semidirect
604. C4×C22⋊D67C23semidirect
605. C4×C22⋊D67C23semidirect
612. (C22⋊D67)⋊C4C23semidirect
613. (C22⋊D67)⋊C4C23semidirect
614. (C22⋊D67)⋊C4C23semidirect
615. (C22⋊D67)⋊C4C23semidirect
616. (C22⋊D67)⋊C4C23semidirect
617. (C22⋊D67)⋊C4C23semidirect
618. (C22⋊D67)⋊C4C23semidirect
619. (C22⋊D67)⋊C4C23semidirect
620. (C22⋊D67)⋊C4C23semidirect
621. #14524002C23semidirect
622. #14524002C23semidirect
623. #14524002C23semidirect
629. #14524001C23semidirect
630. #14524001C23semidirect
631. #14524001C23semidirect
632. #14524001C23semidirect
635. #14524000C23semidirect
636. #14523999C23semidirect
637. #14523999C23semidirect
639. C2×C4⋊Dic67C23semidirect
640. C2×C4⋊Dic67C23semidirect
641. C2×C4⋊Dic67C23semidirect
643. C2×Dic67⋊C4C23semidirect
644. C2×Dic67⋊C4C23semidirect
649. C4⋊C4×D67C23semidirect
650. C4⋊C4×D67C23semidirect
651. C4⋊C4×D67C23semidirect
652. C4⋊C4×D67C23semidirect
653. C4⋊C4×D67C23semidirect
657. C2×C22⋊Dic67C23semidirect
658. C2×C22⋊Dic67C23semidirect
659. C2×C22⋊Dic67C23semidirect
666. C2×(C2×D67)⋊C4C23semidirect
677. C22⋊C4×D67C23semidirect
678. C22⋊C4×D67C23semidirect
679. C22⋊C4×D67C23semidirect
680. C2×C4×Dic67C23semidirect
681. C42×D67C23semidirect
682. C2×#41×C67C23semidirect
687. C22×D4×C67C23semidirect
688. C22×D4×C67C23semidirect
689. C22×D4×C67C23semidirect
691. #127×C67C23semidirect
692. #127×C67C23semidirect
693. #126×C67C23semidirect
694. #126×C67C23semidirect
695. #125×C67C23semidirect
696. #124×C67C23semidirect
697. #123×C67C23semidirect
698. #123×C67C23semidirect
699. #123×C67C23semidirect
700. #123×C67C23semidirect
701. #123×C67C23semidirect
703. C22⋊Q8×C67C23semidirect
712. #121×C67C23semidirect
713. #121×C67C23semidirect
714. #121×C67C23semidirect
715. #121×C67C23semidirect
716. #121×C67C23semidirect
717. #121×C67C23semidirect
718. #121×C67C23semidirect
719. #121×C67C23semidirect
720. #121×C67C23semidirect
721. #121×C67C23semidirect
724. #120×C67C23semidirect
725. #120×C67C23semidirect
726. #120×C67C23semidirect
727. #120×C67C23semidirect
728. #120×C67C23semidirect
731. C4×D4×C67C23semidirect
732. C4×D4×C67C23semidirect
733. C4×D4×C67C23semidirect
734. C4×D4×C67C23semidirect
735. #117×C67C23semidirect
736. #117×C67C23semidirect
738. C2×C4⋊C4×C67C23semidirect
740. C2×C22⋊C4×C67C23semidirect
1108. C22×D67H(5,𝔽2)semidirect
1239. C4×D67H(5,𝔽2)semidirect
1338. #3537D67semidirect
1364. C67#62818semidirect
1379. #560C2×D67semidirect
1397. #553C2×D67semidirect
1398. #553C2×D67semidirect
1465. D42C2×D67semidirect
1466. D42C2×D67semidirect
1467. D42C2×D67semidirect
1480. #540C2×D67semidirect
1497. #538C2×D67semidirect
1498. #538C2×D67semidirect
1512. #535C2×D67semidirect
1522. #534C2×D67semidirect
1523. #534C2×D67semidirect
1554. #525C2×D67semidirect
1580. C2×#121C2×D67semidirect
1581. C2×#121C2×D67semidirect
1624. C2×#41C22×D67semidirect
1662. C22×D4C22×D67semidirect
1663. C22×D4C22×D67semidirect
1664. C22×D4C22×D67semidirect
1691. #127C22×D67semidirect
1692. #127C22×D67semidirect
1703. #126C22×D67semidirect
1704. #126C22×D67semidirect
1711. #125C22×D67semidirect
1726. #124C22×D67semidirect
1766. #123C22×D67semidirect
1767. #123C22×D67semidirect
1768. #123C22×D67semidirect
1769. #123C22×D67semidirect
1770. #123C22×D67semidirect
1809. C22⋊Q8C22×D67semidirect
1897. #121C22×D67semidirect
1898. #121C22×D67semidirect
1899. #121C22×D67semidirect
1900. #121C22×D67semidirect
1901. #121C22×D67semidirect
1902. #121C22×D67semidirect
1903. #121C22×D67semidirect
1904. #121C22×D67semidirect
1905. #121C22×D67semidirect
1906. #121C22×D67semidirect
1942. #120C22×D67semidirect
1943. #120C22×D67semidirect
1944. #120C22×D67semidirect
1945. #120C22×D67semidirect
1946. #120C22×D67semidirect
2003. C4×D4C22×D67semidirect
2004. C4×D4C22×D67semidirect
2005. C4×D4C22×D67semidirect
2006. C4×D4C22×D67semidirect
2024. #117C22×D67semidirect
2025. #117C22×D67semidirect
2043. C2×C4⋊C4C22×D67semidirect
2071. C2×C22⋊C4C22×D67semidirect

Maximal subgroups

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

subgroupindex
#225745312
#225745272
#225745142
#225744462
#225744442
#225744362
#225744312
#225744302
#225744002
#225743962
#225743902
#225742342
#225742322
#225742282
#225740472
#225740382
#225739702
#225739652
#225739402
#225739362
#225739132
#225738972
#225738952
#225738762
#225738692
#225738372
C2×#168639062
#525×D672
C2×#121×D672
C67×#35372
#6281867