Finite Group Databasebeta

← #33994605

Subgroups — #33994605

Order 18688.

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#22624241C212yesmaximal, complemented
2#22624240C214yesmaximal, complemented
3#22624233C212yesmaximal, complemented
4#22624167C212yesmaximal, complemented
5#22624163C212yesmaximal, complemented
6#22624155C212yesmaximal, complemented
7#22624147C212yesmaximal, complemented
8#22624126C212yesmaximal, complemented
9#22624122C212yesmaximal, complemented
10#22624108C214yesmaximal, complemented
11#22623965C212yesmaximal, complemented
12#22623959C214yesmaximal, complemented
13#22623951C212yesmaximal, complemented
14#22623772C211yesmaximal, characteristic, complemented
15#22623761C212yesmaximal, complemented
16#22623695C211yesmaximal, characteristic, complemented
17#22623692C212yesmaximal, complemented
18#22623688C211yesmaximal, characteristic, complemented
19#22623662C212yesmaximal, complemented
20#22623654C212yesmaximal, complemented
21#22623631C212yesmaximal, complemented
22#22623615C214yesmaximal, complemented
23#22623597C212yesmaximal, complemented
24#22623592C212yesmaximal, complemented
25#22623567C212yesmaximal, complemented
26#22623563C212yesmaximal, complemented
27#22623561C212yesmaximal, complemented
28C2×#17989100C211yesmaximal, characteristic, complemented
29C2×#17989096C211yesmaximal, characteristic, complemented
30C2×#121×D73C211yesmaximal, characteristic, complemented
31C73×#3505C211yesmaximal, characteristic, complemented
32C2×#14556637C2212yescomplemented
33C2×#14556636C2212yescomplemented
34C2×#14556636C2212yescomplemented
35C22×#11924029C2211yescharacteristic, complemented
36C22×#11924028C2211yescharacteristic, complemented
37C22×D4×D73C2211yescharacteristic, complemented
38C22×D4×D73C2212yescomplemented
39C23×C4×D73C2211yescharacteristic, complemented
40#17989335C2214yescomplemented
41#17989334C2214yescomplemented
42#17989333C2214yescomplemented
43#17989331C2214yescomplemented
44#17989328C2214yescomplemented
45#17989328C2214yescomplemented
46#17989327C2214yescomplemented
47#17989325C2214yescomplemented
48#17989302C2212yescomplemented
49#17989300C2214yescomplemented
50#17989300C2212yescomplemented
51#17989297C2212yescomplemented
52#17989295C2212yescomplemented
53#17989293C2214yescomplemented
54#17989290C2212yescomplemented
55#17989290C2212yescomplemented
56#17989289C2212yescomplemented
57#17989288C2214yescomplemented
58#17989288C2214yescomplemented
59#17989286C2214yescomplemented
60#17989286C2214yescomplemented
61#17989285C2214yescomplemented
62#17989285C2212yescomplemented
63#17989283C2214yescomplemented
64#17989281C2212yescomplemented
65#17989279C2212yescomplemented
66#17989270C2214yescomplemented
67#17989264C2214yescomplemented
68#17989263C2214yescomplemented
69#17989262C2214yescomplemented
70#17989262C2214yescomplemented
71#17989261C2214yescomplemented
72#17989261C2214yescomplemented
73#17989260C2214yescomplemented
74#17989259C2212yescomplemented
75#17989258C2214yescomplemented
76#17989256C2212yescomplemented
77#17989248C2212yescomplemented
78#17989246C2214yescomplemented
79#17989241C2212yescomplemented
80#17989241C2212yescomplemented
81#17989238C2212yescomplemented
82#17989237C2212yescomplemented
83#17989235C2214yescomplemented
84#17989235C2214yescomplemented
85#17989233C2214yescomplemented
86#17989232C2214yescomplemented
87#17989232C2214yescomplemented
88#17989232C2214yescomplemented
89#17989232C2214yescomplemented
90#17989232C2214yescomplemented
91#17989232C2214yescomplemented
92#17989230C2212yescomplemented
93#17989230C2214yescomplemented
94#17989230C2212yescomplemented
95#17989229C2214yescomplemented
96#17989229C2214yescomplemented
97#17989229C2214yescomplemented
98#17989229C2214yescomplemented
99#17989229C2214yescomplemented
100#17989229C2214yescomplemented
101#17989229C2214yescomplemented
102#17989228C2212yescomplemented
103#17989228C2214yescomplemented
104#17989228C2212yescomplemented
105#17989227C2214yescomplemented
106#17989227C2214yescomplemented
107#17989226C2214yescomplemented
108#17989226C2214yescomplemented
109#17989226C2214yescomplemented
110#17989225C2212yescomplemented
111#17989224C2214yescomplemented
112#17989224C2214yescomplemented
113D4×D292C2212yescomplemented
114D4×D292C2212yescomplemented
115D4×D292C2214yescomplemented
116D4×D292C2214yescomplemented
117D4×D292C2214yescomplemented
118D4×D292C2214yescomplemented
119D4×D292C2212yescomplemented
120#17989221C2212yescomplemented
121#17989221C2212yescomplemented
122#17989221C2214yescomplemented
123#17989221C2214yescomplemented
124#17989221C2214yescomplemented
125D4×C22⋊D73C2212yescomplemented
126#17989219C2214yescomplemented
127#17989219C2214yescomplemented
128#17989219C2214yescomplemented
129#17989219C2214yescomplemented
130#17989217C2212yescomplemented
131#17989212C2214yescomplemented
132#17989209C2212yescomplemented
133#17989206C2212yescomplemented
134#17989203C2214yescomplemented
135#17989193C2214yescomplemented
136#17989193C2212yescomplemented
137#17989192C2214yescomplemented
138#17989190C2214yescomplemented
139#17989189C2214yescomplemented
140#17989189C2214yescomplemented
141#17989188C2212yescomplemented
142#17989186C2212yescomplemented
143#17989185C2214yescomplemented
144#17989179C2214yescomplemented
145#17989178C2214yescomplemented
146#17989177C2212yescomplemented
147#17989176C2214yescomplemented
148#17989176C2214yescomplemented
149#17989176C2214yescomplemented
150#17989176C2214yescomplemented
151#17989173C2214yescomplemented
152#17989173C2214yescomplemented
153#17989171C2214yescomplemented
154#17989170C2214yescomplemented
155#17989170C2214yescomplemented
156#17989168C2212yescomplemented
157#17989167C2212yescomplemented
158#17989167C2214yescomplemented
159#17989167C2212yescomplemented
160#17989165C2212yescomplemented
161#17989164C2212yescomplemented
162#17989164C2214yescomplemented
163#17989156C2214yescomplemented
164#17989156C2212yescomplemented
165#17989155C2212yescomplemented
166#17989155C2214yescomplemented
167#17989153C2212yescomplemented
168#17989153C2212yescomplemented
169#17989152C2214yescomplemented
170#17989149C2212yescomplemented
171#17989149C2212yescomplemented
172#17989149C2214yescomplemented
173#17989149C2212yescomplemented
174#17989148C2214yescomplemented
175#17989148C2214yescomplemented
176#17989148C2214yescomplemented
177#17989146C2212yescomplemented
178#17989145C2212yescomplemented
179#17989145C2214yescomplemented
180#17989145C2214yescomplemented
181#17989137C2212yescomplemented
182#17989132C2212yescomplemented
183#17989132C2214yescomplemented
184#17989123C2212yescomplemented
185#17989117C2214yescomplemented
186#17989100C2212yescomplemented
187#17989100C2212yescomplemented
188#17989100C2212yescomplemented
189#17989100C2212yescomplemented
190#17989100C2212yescomplemented
191#17989100C2212yescomplemented
192#17989100C2212yescomplemented
193#17989100C2212yescomplemented
194#17989100C2212yescomplemented
195#17989099C2214yescomplemented
196#17989096C2212yescomplemented
197#17989096C2212yescomplemented
198#17989096C2212yescomplemented
199#17989096C2212yescomplemented
200#17989096C2212yescomplemented
201#17989096C2212yescomplemented
202#17989096C2212yescomplemented
203#17989096C2212yescomplemented
204#17989096C2214yescomplemented
205#17989095C2214yescomplemented
206C2×#14556576C2212yescomplemented
207C2×#14556576C2211yescharacteristic, complemented
208C2×#14556573C2211yescharacteristic, complemented
209C2×#14556569C2211yescharacteristic, complemented
210C2×#14556568C2211yescharacteristic, complemented
211C2×#14556567C2211yescharacteristic, complemented
212C2×#14556566C2211yescharacteristic, complemented
213C2×#14556566C2211yescharacteristic, complemented
214C2×#14556565C2211yescharacteristic, complemented
215C2×#14556565C2211yescharacteristic, complemented
216C2×#14556565C2212yescomplemented
217C2×#14556564C2212yescomplemented
218C2×#14556564C2211yescharacteristic, complemented
219C2×#14556563C2212yescomplemented
220C2×#14556563C2211yescharacteristic, complemented
221C2×#14556562C2211yescharacteristic, complemented
222#121×D73C2212yescomplemented
223#121×D73C2212yescomplemented
224#121×D73C2212yescomplemented
225#121×D73C2212yescomplemented
226#121×D73C2212yescomplemented
227#121×D73C2212yescomplemented
228#121×D73C2212yescomplemented
229#121×D73C2212yescomplemented
230#121×D73C2212yescomplemented
231#121×D73C2214yescomplemented
232C2×#14556561C2214yescomplemented
233C2×#14556561C2212yescomplemented
234C2×#14556561C2211yescharacteristic, complemented
235C2×#14556559C2211yescharacteristic, complemented
236#120×D73C2214yescomplemented
237#17989069C2212yescomplemented
238#17989067C2212yescomplemented
239#17989061C2214yescomplemented
240#17989060C2212yescomplemented
241#17989059C2212yescomplemented
242#17989059C2214yescomplemented
243C2×C4×D292C2211yescharacteristic, complemented
244C2×#14556553C2212yescomplemented
245C2×C4×C22⋊D73C2211yescharacteristic, complemented
246C2×C4×C22⋊D73C2211yescharacteristic, complemented
247C2×#14556551C2212yescomplemented
248C2×#14556549C2211yescharacteristic, complemented
249C2×#14556548C2211yescharacteristic, complemented
250C2×C4⋊C4×D73C2211yescharacteristic, complemented
251C2×C22⋊C4×D73C2212yescomplemented
252#553×C73C2214yescomplemented
253#553×C73C2212yescomplemented
254#552×C73C2212yescomplemented
255#551×C73C2214yescomplemented
256#548×C73C2212yescomplemented
257#546×C73C2212yescomplemented
258#539×C73C2212yescomplemented
259#538×C73C2212yescomplemented
260#534×C73C2212yescomplemented
261#529×C73C2212yescomplemented
262#525×C73C2212yescomplemented
263C2×C22⋊Q8×C73C2211yescharacteristic, complemented
264C2×#121×C73C2211yescharacteristic, complemented
265#518×C73C2212yescomplemented
266C2×C4×D4×C73C2211yescharacteristic, complemented
267C24×D73C2311yescharacteristic
268C24×D73C2312yes—
269#14556637—48no—
270#14556636—48no—
271#14556636—48no—
272C2×#11924029—44no—
273C2×#11924029C2312yes—
274C2×#11924029C2312yes—
275C2×#11924029C2312yescomplemented
276C2×#11924029C2312yescomplemented
277C2×#11924029C2312yescomplemented
278C2×#11924028—44no—
279C2×#11924028C2312yes—
280C2×#11924028C2314yes—
281C2×#11924028C2312yes—
282C2×#11924028C2314yescomplemented
283C2×#11924028C2312yescomplemented
284C2×#11924028C2312yescomplemented
285C2×#11924028C2314yescomplemented
286C2×#11924027C2314yes—
287C2×#11924027C2314yescomplemented
288C2×#11924027C2314yescomplemented
289C2×#11924027C2314yescomplemented
290C22×Dic146C2311yescharacteristic, complemented
291C22×D292C2312yes—
292C22×D292C2314yes—
293C22×D292C2314yes—
294C22×D292C2311yescharacteristic
295C22×D292C2311yescharacteristic
296C22×D292C2312yes—
297C22×D292C2312yes—
298C22×D292C2311yescharacteristic
299C22×D292C2312yescomplemented
300C22×D292C2311yescharacteristic, complemented
301C22×C22⋊D73C2312yes—
302C22×C22⋊D73C2312yes—
303C22×C22⋊D73C2311yescharacteristic
304C22×C22⋊D73C2312yes—
305C22×C22⋊D73C2314yes—
306C22×C22⋊D73C2312yes—
307C22×C22⋊D73C2311yescharacteristic
308C22×C22⋊D73C2311yescharacteristic
309C22×C22⋊D73C2314yescomplemented
310C22×C22⋊D73C2311yescharacteristic, complemented
311C2×D4×D73—48no—
312C2×D4×D73—44no—
313C2×D4×D73C2312yes—
314C2×D4×D73C2312yes—
315C2×D4×D73C2314yes—
316C2×D4×D73C2314yes—
317C2×D4×D73C2314yes—
318C2×D4×D73C2314yes—
319C2×D4×D73C2314yes—
320C2×D4×D73C2312yes—
321C2×D4×D73C2312yes—
322C2×D4×D73C2314yes—
323C2×D4×D73C2314yes—
324C2×D4×D73C2314yescomplemented
325C2×D4×D73C2314yescomplemented
326C2×D4×D73C2314yescomplemented
327C2×D4×D73C2312yescomplemented
328C2×D4×D73C2314yescomplemented
329C23×Dic73C2311yescharacteristic
330C22×C4×D73—44no—
331C22×C4×D73C2311yescharacteristic
332C22×C4×D73C2311yescharacteristic
333C22×C4×D73C2311yescharacteristic
334C22×C4×D73C2311yescharacteristic
335C22×C4×D73C2311yescharacteristic
336C22×C4×D73C2311yescharacteristic
337C22×C4×D73C2311yescharacteristic
338C22×C4×D73C2311yescharacteristic
339C22×C4×D73C2311yescharacteristic
340C22×C4×D73C2311yescharacteristic
341C22×C4×D73C2311yescharacteristic
342C22×C4×D73C2311yescharacteristic
343C22×C4×D73C2312yes—
344C22×C4×D73C2311yescharacteristic, complemented
345C22×C4×D73C2312yescomplemented
346#14556591C2312yescomplemented
347#14556590C2314yescomplemented
348#14556590C2312yescomplemented
349#14556588C2312yescomplemented
350#14556588C2314yescomplemented
351#14556588C2314yescomplemented
352#14556587C2314yescomplemented
353#14556587C2312yescomplemented
354#14556587C2314yescomplemented
355#14556587C2314yescomplemented
356#14556586C2314yescomplemented
357#14556586C2314yescomplemented
358#14556586C2314yescomplemented
359#14556586C2314yescomplemented
360#14556586C2314yescomplemented
361#14556585C2314yescomplemented
362#14556585C2314yescomplemented
363#14556584C2314yescomplemented
364#14556584C2314yescomplemented
365#14556583C2314yescomplemented
366#14556582C2312yescomplemented
367#14556582C2314yescomplemented
368#14556581C2314yescomplemented
369#14556581C2314yescomplemented
370#14556580C2312yescomplemented
371#14556580C2314yescomplemented
372#14556579C2314yescomplemented
373#14556579C2314yescomplemented
374#14556579C2314yescomplemented
375#14556579C2314yescomplemented
376#14556577C2314yescomplemented
377#14556577C2314yescomplemented
378#14556577C2314yescomplemented
379#14556577C2314yescomplemented
380#14556577C2314yescomplemented
381#14556577C2314yescomplemented
382#14556577C2314yescomplemented
383#14556576C2314yes—
384#14556576C2312yes—
385#14556576C2312yes—
386#14556576C2314yes—
387#14556576C2314yescomplemented
388#14556576C2314yescomplemented
389#14556576C2314yescomplemented
390#14556576C2314yescomplemented
391#14556576C2314yescomplemented
392#14556576C2314yescomplemented
393#14556576C2314yescomplemented
394#14556576C2314yescomplemented
395#14556576C2314yescomplemented
396#14556576C2312yescomplemented
397#14556576C2314yescomplemented
398#14556576C2314yescomplemented
399#14556576C2314yescomplemented
400#14556576C2312yescomplemented
401#14556575C2314yes—
402#14556575C2314yes—
403#14556575C2314yescomplemented
404#14556575C2314yescomplemented
405#14556575C2314yescomplemented
406#14556575C2314yescomplemented
407#14556575C2314yescomplemented
408#14556575C2314yescomplemented
409#14556574C2314yes—
410#14556574C2314yescomplemented
411#14556574C2314yescomplemented
412#14556573C2312yes—
413#14556573C2312yes—
414#14556573C2314yescomplemented
415#14556573C2314yescomplemented
416#14556573C2314yescomplemented
417#14556573C2314yescomplemented
418#14556573C2312yescomplemented
419#14556573C2314yescomplemented
420#14556573C2312yescomplemented
421#14556572C2314yescomplemented
422#14556571C2314yes—
423#14556571C2314yes—
424#14556571C2314yescomplemented
425#14556571C2314yescomplemented
426#14556570C2314yescomplemented
427#14556569C2312yes—
428#14556569C2314yes—
429#14556569C2314yes—
430#14556569C2312yes—
431#14556569C2314yescomplemented
432#14556569C2314yescomplemented
433#14556569C2314yescomplemented
434#14556569C2312yescomplemented
435#14556569C2314yescomplemented
436#14556569C2314yescomplemented
437#14556569C2312yescomplemented
438#14556568C2312yes—
439#14556568C2312yes—
440#14556568C2314yescomplemented
441#14556568C2314yescomplemented
442#14556568C2314yescomplemented
443#14556568C2312yescomplemented
444#14556568C2312yescomplemented
445#14556567C2312yes—
446#14556567C2312yes—
447#14556567C2312yescomplemented
448#14556567C2312yescomplemented
449#14556567C2314yescomplemented
450#14556567C2312yescomplemented
451#14556566C2312yes—
452#14556566C2314yes—
453#14556566C2312yes—
454#14556566C2314yes—
455#14556566C2312yes—
456#14556566C2312yes—
457#14556566C2312yes—
458#14556566C2312yes—
459#14556566C2314yescomplemented
460#14556566C2314yescomplemented
461#14556566C2314yescomplemented
462#14556566C2314yescomplemented
463#14556566C2312yescomplemented
464#14556566C2312yescomplemented
465#14556566C2314yescomplemented
466#14556566C2314yescomplemented
467#14556566C2312yescomplemented
468#14556566C2314yescomplemented
469#14556566C2314yescomplemented
470#14556566C2314yescomplemented
471#14556566C2314yescomplemented
472#14556566C2312yescomplemented
473#14556565C2312yes—
474#14556565C2312yes—
475#14556565C2312yes—
476#14556565C2312yes—
477#14556565C2312yes—
478#14556565C2312yes—
479#14556565C2312yescomplemented
480#14556565C2314yescomplemented
481#14556565C2314yescomplemented
482#14556565C2312yescomplemented
483#14556565C2314yescomplemented
484#14556565C2314yescomplemented
485#14556565C2314yescomplemented
486#14556565C2314yescomplemented
487#14556565C2314yescomplemented
488#14556565C2314yescomplemented
489#14556565C2314yescomplemented
490#14556565C2312yescomplemented
491#14556565C2312yescomplemented
492#14556565C2314yescomplemented
493#14556564C2312yes—
494#14556564C2314yes—
495#14556564C2314yes—
496#14556564C2314yes—
497#14556564C2314yes—
498#14556564C2312yes—
499#14556564C2314yes—
500#14556564C2314yes—
501#14556564C2314yescomplemented
502#14556564C2314yescomplemented
503#14556564C2314yescomplemented
504#14556564C2314yescomplemented
505#14556564C2314yescomplemented
506#14556564C2314yescomplemented
507#14556564C2312yescomplemented
508#14556564C2314yescomplemented
509#14556564C2314yescomplemented
510#14556564C2314yescomplemented
511#14556564C2314yescomplemented
512#14556564C2314yescomplemented
513#14556564C2314yescomplemented
514#14556564C2312yescomplemented
515#14556563C2314yes—
516#14556563C2314yes—
517#14556563C2312yes—
518#14556563C2314yes—
519#14556563C2312yes—
520#14556563C2314yes—
521#14556563C2312yescomplemented
522#14556563C2314yescomplemented
523#14556563C2312yescomplemented
524#14556563C2314yescomplemented
525#14556563C2314yescomplemented
526#14556563C2314yescomplemented
527#14556563C2314yescomplemented
528#14556563C2314yescomplemented
529#14556563C2314yescomplemented
530#14556562C2312yes—
531#14556562C2312yes—
532#14556562C2312yes—
533#14556562C2312yes—
534#14556562C2312yescomplemented
535#14556562C2314yescomplemented
536#14556561C2314yes—
537#14556561C2314yes—
538#14556561C2314yes—
539#14556561C2314yes—
540#14556561C2312yes—
541#14556561C2314yes—
542#14556561C2314yes—
543#14556561C2314yes—
544#14556561C2314yes—
545#14556561C2314yes—
546#14556561C2314yes—
547#14556561C2314yes—
548#14556561C2312yes—
549#14556561C2312yes—
550#14556561C2314yes—
551#14556561C2312yes—
552#14556561C2314yescomplemented
553#14556561C2314yescomplemented
554#14556561C2314yescomplemented
555#14556561C2314yescomplemented
556#14556561C2314yescomplemented
557#14556561C2314yescomplemented
558#14556561C2314yescomplemented
559#14556561C2314yescomplemented
560#14556561C2314yescomplemented
561#14556561C2314yescomplemented
562#14556561C2314yescomplemented
563#14556560C2314yes—
564#14556559C2314yes—
565#14556559C2312yes—
566#14556559C2314yes—
567#14556559C2312yes—
568#14556559C2312yes—
569#14556559C2312yes—
570#14556559C2314yescomplemented
571#14556559C2314yescomplemented
572#14556559C2314yescomplemented
573#14556559C2314yescomplemented
574Q8×Dic73C2312yescomplemented
575C4×Dic146C2314yescomplemented
576C4×D292C2314yes—
577C4×D292C2312yes—
578C4×D292C2314yes—
579C4×D292C2314yes—
580C4×D292C2314yes—
581C4×D292C2312yes—
582C4×D292C2312yescomplemented
583C4×D292C2314yescomplemented
584C4×D292C2312yescomplemented
585C4×D292C2312yescomplemented
586C4×D292C2314yescomplemented
587C4×D292C2312yescomplemented
588D4×Dic73C2314yescomplemented
589D4×Dic73C2312yescomplemented
590#14556553C2314yes—
591#14556553C2314yes—
592#14556553C2314yes—
593#14556553C2314yes—
594#14556553C2312yescomplemented
595#14556553C2312yescomplemented
596#14556553C2314yescomplemented
597#14556553C2314yescomplemented
598#14556553C2314yescomplemented
599#14556553C2314yescomplemented
600C4×C22⋊D73C2312yes—
601C4×C22⋊D73C2312yes—
602C4×C22⋊D73C2312yes—
603C4×C22⋊D73C2312yes—
604C4×C22⋊D73C2312yescomplemented
605C4×C22⋊D73C2314yescomplemented
606C4×C22⋊D73C2314yescomplemented
607C4×C22⋊D73C2314yescomplemented
608C4×C22⋊D73C2314yescomplemented
609C4×C22⋊D73C2312yescomplemented
610C4×C22⋊D73C2312yescomplemented
611C4×C22⋊D73C2312yescomplemented
612#14556551C2314yes—
613#14556551C2314yes—
614#14556551C2314yes—
615#14556551C2314yes—
616#14556551C2314yescomplemented
617#14556551C2314yescomplemented
618#14556551C2314yescomplemented
619#14556551C2314yescomplemented
620#14556551C2314yescomplemented
621#14556551C2314yescomplemented
622#14556551C2314yescomplemented
623#14556550C2314yescomplemented
624#14556549C2312yes—
625#14556549C2312yes—
626#14556549C2314yescomplemented
627#14556549C2312yescomplemented
628#14556549C2312yescomplemented
629#14556549C2312yescomplemented
630#14556548C2312yes—
631#14556548C2312yes—
632#14556548C2314yescomplemented
633#14556548C2312yescomplemented
634#14556548C2314yescomplemented
635#14556548C2312yescomplemented
636#14556547C2314yes—
637C2×C4⋊Dic73C2311yescharacteristic
638C2×C4⋊Dic73C2312yescomplemented
639C2×C4⋊Dic73C2311yescharacteristic, complemented
640C2×C4⋊Dic73C2311yescharacteristic, complemented
641C2×#11924007C2312yes—
642C2×#11924007C2312yescomplemented
643C2×#11924007C2311yescharacteristic, complemented
644C2×#11924007C2311yescharacteristic, complemented
645C2×#11924007C2311yescharacteristic, complemented
646C2×#11924007C2311yescharacteristic, complemented
647C4⋊C4×D73C2312yes—
648C4⋊C4×D73C2312yes—
649C4⋊C4×D73C2312yes—
650C4⋊C4×D73C2312yes—
651C4⋊C4×D73C2314yescomplemented
652C4⋊C4×D73C2312yescomplemented
653C2×C22⋊Dic73C2311yescharacteristic
654C2×C22⋊Dic73C2312yes—
655C2×C22⋊Dic73C2311yescharacteristic, complemented
656C2×#11924005C2314yes—
657C2×#11924005C2314yes—
658C2×#11924005C2312yes—
659C2×#11924005C2312yes—
660C2×#11924005C2311yescharacteristic
661C2×#11924005C2311yescharacteristic
662C2×#11924005C2312yes—
663C2×#11924005C2311yescharacteristic
664C2×#11924005C2311yescharacteristic
665C2×#11924005C2312yes—
666C2×#11924005C2312yescomplemented
667C2×#11924005C2311yescharacteristic, complemented
668C2×#11924005C2314yescomplemented
669C2×#11924005C2312yescomplemented
670C2×#11924005C2311yescharacteristic, complemented
671C22⋊C4×D73C2314yes—
672C22⋊C4×D73C2314yes—
673C22⋊C4×D73C2314yes—
674C22⋊C4×D73C2314yes—
675C22⋊C4×D73C2314yes—
676C22⋊C4×D73C2314yes—
677C22⋊C4×D73C2314yes—
678C22⋊C4×D73C2314yescomplemented
679C22⋊C4×D73C2314yescomplemented
680C22⋊C4×D73C2314yescomplemented
681C2×C4×Dic73C2311yescharacteristic, complemented
682C2×C4×Dic73C2312yescomplemented
683C2×#41×C73C2312yescomplemented
684C22×Q8×C73C2311yescharacteristic, complemented
685C22×D4×C73C2312yes—
686C22×D4×C73C2311yescharacteristic
687C22×D4×C73C2311yescharacteristic
688C23×C4×C73C2311yescharacteristic
689C23×C4×C73C2311yescharacteristic, complemented
690#126×C73C2314yescomplemented
691#126×C73C2314yescomplemented
692#126×C73C2314yescomplemented
693#125×C73C2314yescomplemented
694#125×C73C2312yescomplemented
695#124×C73C2314yescomplemented
696#124×C73C2312yescomplemented
697#123×C73C2314yes—
698#123×C73C2314yescomplemented
699#123×C73C2314yescomplemented
700#123×C73C2314yescomplemented
701#123×C73C2314yescomplemented
702C22⋊Q8×C73C2312yes—
703C22⋊Q8×C73C2312yes—
704C22⋊Q8×C73C2312yescomplemented
705C22⋊Q8×C73C2312yescomplemented
706C22⋊Q8×C73C2314yescomplemented
707C22⋊Q8×C73C2312yescomplemented
708#121×C73C2312yes—
709#121×C73C2312yes—
710#121×C73C2312yes—
711#121×C73C2312yes—
712#121×C73C2314yescomplemented
713#121×C73C2314yescomplemented
714#121×C73C2312yescomplemented
715#121×C73C2314yescomplemented
716#120×C73C2314yes—
717#120×C73C2314yescomplemented
718C4×Q8×C73C2312yescomplemented
719C4×D4×C73C2312yes—
720C4×D4×C73C2312yes—
721C4×D4×C73C2314yescomplemented
722C4×D4×C73C2314yescomplemented
723C4×D4×C73C2314yescomplemented
724C4×D4×C73C2312yescomplemented
725C4×D4×C73C2314yescomplemented
726C4×D4×C73C2314yescomplemented
727C4×D4×C73C2312yescomplemented
728C4×D4×C73C2312yescomplemented
729#117×C73C2314yes—
730#117×C73C2312yescomplemented
731#117×C73C2314yescomplemented
732C2×C4⋊C4×C73C2311yescharacteristic
733C2×C4⋊C4×C73C2311yescharacteristic, complemented
734C2×C4⋊C4×C73C2311yescharacteristic, complemented
735C2×C4⋊C4×C73C2312yescomplemented
736C2×C22⋊C4×C73C2311yescharacteristic
737C2×C22⋊C4×C73C2314yes—
738C2×C22⋊C4×C73C2312yes—
739C2×C22⋊C4×C73C2312yes—
740C2×C22⋊C4×C73C2311yescharacteristic, complemented
741C2×C42×C73C2311yescharacteristic, complemented
742C23×D73—24no—
743C23×D73—42no—
744C23×D73—42no—
745C23×D73—44no—
746C23×D73—44no—
747C23×D73—44no—
748C23×D73C2411yescharacteristic
749C23×D73C2411yescharacteristic
750C23×D73C2411yescharacteristic
751C23×D73C2411yescharacteristic
752C23×D73C2411yescharacteristic
753C23×D73C2414yes—
754C23×D73C2414yes—
755C23×D73C2412yes—
756C23×D73C2412yes—
757C23×D73C2411yescharacteristic
758C23×D73C2411yescharacteristic
759C23×D73C2414yes—
760C23×D73C2414yes—
761#11924029—28no—
762#11924029—44no—
763#11924029—44no—
764#11924029—44no—
765#11924029—44no—
766#11924028—28no—
767#11924028—44no—
768#11924028—48no—
769#11924028—44no—
770#11924028—44no—
771#11924028—48no—
772#11924028—48no—
773#11924027—48no—
774#11924027—48no—
775#11924027—48no—
776#11924027—48no—
777C2×Dic146—42no—
778C2×Dic146C2412yes—
779C2×Dic146C2412yes—
780C2×Dic146C2414yes—
781C2×Dic146C2414yes—
782C2×D292—42no—
783C2×D292—42no—
784C2×D292—44no—
785C2×D292—44no—
786C2×D292—48no—
787C2×D292—42no—
788C2×D292—42no—
789C2×D292—44no—
790C2×D292—48no—
791C2×D292—44no—
792C2×D292C2414yes—
793C2×D292C2414yes—
794C2×D292C2412yes—
795C2×D292C2412yes—
796C2×D292C2412yes—
797C2×D292C2412yes—
798C2×D292C2414yes—
799C2×D292C2414yes—
800C2×D292C2414yes—
801C2×D292C2412yes—
802C2×D292C2414yes—
803C2×D292C2412yes—
804C2×D292C2414yes—
805C2×D292C2414yes—
806C2×D292C2414yes—
807C2×D292C2412yes—
808C2×D292C2414yes—
809C2×D292C2412yes—
810C2×D292C2414yes—
811C2×D292C2414yes—
812C2×C22⋊D73—28no—
813C2×C22⋊D73—24no—
814C2×C22⋊D73—28no—
815C2×C22⋊D73—44no—
816C2×C22⋊D73—42no—
817C2×C22⋊D73—44no—
818C2×C22⋊D73—42no—
819C2×C22⋊D73—42no—
820C2×C22⋊D73—48no—
821C2×C22⋊D73—48no—
822C2×C22⋊D73C2412yes—
823C2×C22⋊D73C2412yes—
824C2×C22⋊D73C2414yes—
825C2×C22⋊D73C2414yes—
826C2×C22⋊D73C2414yes—
827C2×C22⋊D73C2412yes—
828C2×C22⋊D73C2414yes—
829C2×C22⋊D73C2412yes—
830C2×C22⋊D73C2412yes—
831C2×C22⋊D73C2414yes—
832C2×C22⋊D73C2414yes—
833C2×C22⋊D73C2412yes—
834C2×C22⋊D73C2412yes—
835C2×C22⋊D73C2414yes—
836C2×C22⋊D73C2412yes—
837C2×C22⋊D73C2414yes—
838C2×C22⋊D73C2414yes—
839C2×C22⋊D73C2414yes—
840C2×C22⋊D73C2414yes—
841C2×C22⋊D73C2414yes—
842C2×C22⋊D73C2414yes—
843C2×C22⋊D73C2414yes—
844D4×D73—28no—
845D4×D73—44no—
846D4×D73—44no—
847D4×D73—44no—
848D4×D73—48no—
849D4×D73—44no—
850D4×D73—48no—
851D4×D73—48no—
852D4×D73—48no—
853D4×D73—48no—
854D4×D73—48no—
855D4×D73—48no—
856D4×D73—48no—
857D4×D73—48no—
858D4×D73—48no—
859D4×D73—48no—
860C22×Dic73—42no—
861C22×Dic73C2411yescharacteristic
862C22×Dic73C2412yes—
863C22×Dic73C2411yescharacteristic
864C22×Dic73C2412yes—
865C22×Dic73C2411yescharacteristic
866C22×Dic73C2411yescharacteristic
867C22×Dic73C2411yescharacteristic
868C22×Dic73C2411yescharacteristic
869C22×Dic73C2414yes—
870C22×Dic73C2411yescharacteristic
871C22×Dic73C2411yescharacteristic
872C22×Dic73C2411yescharacteristic
873C22×Dic73C2414yes—
874C2×C4×D73—24no—
875C2×C4×D73—24no—
876C2×C4×D73—24no—
877C2×C4×D73—42no—
878C2×C4×D73—42no—
879C2×C4×D73—42no—
880C2×C4×D73—44no—
881C2×C4×D73—42no—
882C2×C4×D73—42no—
883C2×C4×D73—42no—
884C2×C4×D73—42no—
885C2×C4×D73—42no—
886C2×C4×D73—42no—
887C2×C4×D73—42no—
888C2×C4×D73—44no—
889C2×C4×D73C2411yescharacteristic
890C2×C4×D73C2411yescharacteristic
891C2×C4×D73C2411yescharacteristic
892C2×C4×D73C2411yescharacteristic
893C2×C4×D73C2411yescharacteristic
894C2×C4×D73C2414yes—
895C2×C4×D73C2412yes—
896C2×C4×D73C2411yescharacteristic
897C2×C4×D73C2411yescharacteristic
898C2×C4×D73C2411yescharacteristic
899C2×C4×D73C2411yescharacteristic
900C2×C4×D73C2411yescharacteristic
901C2×C4×D73C2411yescharacteristic
902C2×C4×D73C2414yes—
903C2×C4×D73C2414yes—
904C2×C4×D73C2414yes—
905C2×C4×D73C2414yes—
906C2×C4×D73C2414yes—
907C2×C4×D73C2414yes—
908C2×C4×D73C2412yes—
909C2×C4×D73C2414yes—
910C2×C4×D73C2414yes—
911C2×C4×D73C2414yes—
912C2×C4×D73C2411yescharacteristic
913C2×C4×D73C2411yescharacteristic
914C2×C4×D73C2411yescharacteristic
915C2×C4×D73C2411yescharacteristic
916C2×C4×D73C2411yescharacteristic
917C4⋊Dic73C2412yes—
918C4⋊Dic73C2412yes—
919C4⋊Dic73C2412yes—
920C4⋊Dic73C2414yes—
921C4⋊Dic73C2412yes—
922C4⋊Dic73C2412yes—
923C4⋊Dic73C2412yes—
924C4⋊Dic73C2414yes—
925C4⋊Dic73C2414yes—
926C4⋊Dic73C2414yes—
927#11924007C2414yes—
928#11924007C2414yes—
929#11924007C2412yes—
930#11924007C2414yes—
931#11924007C2412yes—
932#11924007C2412yes—
933#11924007C2412yes—
934#11924007C2412yes—
935#11924007C2414yes—
936#11924007C2414yes—
937#11924007C2412yes—
938#11924007C2412yes—
939#11924007C2412yes—
940#11924007C2414yes—
941#11924007C2414yes—
942#11924007C2414yes—
943C22⋊Dic73C2414yes—
944C22⋊Dic73C2412yes—
945C22⋊Dic73C2414yes—
946C22⋊Dic73C2414yes—
947C22⋊Dic73C2414yes—
948C22⋊Dic73C2412yes—
949C22⋊Dic73C2412yes—
950C22⋊Dic73C2412yes—
951#11924005C2414yes—
952#11924005C2414yes—
953#11924005C2412yes—
954#11924005C2412yes—
955#11924005C2414yes—
956#11924005C2414yes—
957#11924005C2414yes—
958#11924005C2414yes—
959#11924005C2414yes—
960#11924005C2414yes—
961#11924005C2412yes—
962#11924005C2414yes—
963#11924005C2414yes—
964#11924005C2414yes—
965#11924005C2414yes—
966#11924005C2412yes—
967#11924005C2412yes—
968#11924005C2414yes—
969#11924005C2412yes—
970#11924005C2412yes—
971#11924005C2414yes—
972#11924005C2414yes—
973#11924005C2412yes—
974#11924005C2414yes—
975#11924005C2414yes—
976#11924005C2412yes—
977#11924005C2414yes—
978#11924005C2414yes—
979#11924005C2412yes—
980#11924005C2412yes—
981#11924005C2414yes—
982#11924005C2414yes—
983#11924005C2412yes—
984#11924005C2414yes—
985#11924005C2414yes—
986#11924005C2414yes—
987C4×Dic73C2412yes—
988C4×Dic73C2412yes—
989C4×Dic73C2414yes—
990C4×Dic73C2414yes—
991C4×Dic73C2414yes—
992C4×Dic73C2414yes—
993C24×C73C2412yes—
994C24×C73C2411yescharacteristic
995C24×C73C2411yescharacteristic
996#41×C73—44no—
997C2×Q8×C73—42no—
998C2×Q8×C73C2412yes—
999C2×Q8×C73C2412yes—
1000C2×D4×C73—28no—
1001C2×D4×C73—24no—
1002C2×D4×C73—42no—
1003C2×D4×C73C2412yes—
1004C2×D4×C73C2414yes—
1005C2×D4×C73C2414yes—
1006C2×D4×C73C2412yes—
1007C2×D4×C73C2412yes—
1008C2×D4×C73C2414yes—
1009C2×D4×C73C2414yes—
1010C2×D4×C73C2412yes—
1011C22×C4×C73—42no—
1012C22×C4×C73—42no—
1013C22×C4×C73C2411yescharacteristic
1014C22×C4×C73C2411yescharacteristic
1015C22×C4×C73C2412yes—
1016C22×C4×C73C2411yescharacteristic
1017C22×C4×C73C2411yescharacteristic
1018C22×C4×C73C2412yes—
1019C22×C4×C73C2411yescharacteristic
1020C22×C4×C73C2411yescharacteristic
1021C22×C4×C73C2412yes—
1022C22×C4×C73C2411yescharacteristic
1023C22×C4×C73C2412yes—
1024C22×C4×C73C2414yes—
1025C22×C4×C73C2414yes—
1026C22×C4×C73C2411yescharacteristic
1027C22×C4×C73C2411yescharacteristic
1028C22×C4×C73C2412yes—
1029C4⋊C4×C73C2412yes—
1030C4⋊C4×C73C2412yes—
1031C4⋊C4×C73C2412yes—
1032C4⋊C4×C73C2414yes—
1033C4⋊C4×C73C2412yes—
1034C4⋊C4×C73C2412yes—
1035C4⋊C4×C73C2414yes—
1036C4⋊C4×C73C2412yes—
1037C4⋊C4×C73C2414yes—
1038C4⋊C4×C73C2414yes—
1039C4⋊C4×C73C2414yes—
1040C4⋊C4×C73C2414yes—
1041C22⋊C4×C73C2412yes—
1042C22⋊C4×C73C2414yes—
1043C22⋊C4×C73C2414yes—
1044C22⋊C4×C73C2412yes—
1045C22⋊C4×C73C2414yes—
1046C22⋊C4×C73C2414yes—
1047C22⋊C4×C73C2414yes—
1048C22⋊C4×C73C2414yes—
1049C22⋊C4×C73C2412yes—
1050C22⋊C4×C73C2412yes—
1051C22⋊C4×C73C2414yes—
1052C22⋊C4×C73C2414yes—
1053C22⋊C4×C73C2414yes—
1054C22⋊C4×C73C2414yes—
1055C42×C73C2412yes—
1056C42×C73C2412yes—
1057C42×C73C2414yes—
1058C42×C73C2414yes—
1059C23×C73—22no—
1060C23×C73—24no—
1061C23×C73—41no—
1062C23×C73—41no—
1063C23×C73—41no—
1064C23×C73—42no—
1065C23×C73—41no—
1066C23×C73—42no—
1067C23×C73H(5,𝔽2)14yescomplemented
1068C23×C73C2514yes—
1069C23×C73C2512yes—
1070C23×C73C2511yescharacteristic
1071C23×C73C2511yescharacteristic
1072C23×C73C2511yescharacteristic
1073C22×D73—22no—
1074C22×D73—22no—
1075C22×D73—22no—
1076C22×D73—22no—
1077C22×D73—22no—
1078C22×D73—22no—
1079C22×D73—22no—
1080C22×D73—22no—
1081C22×D73—24no—
1082C22×D73—22no—
1083C22×D73—24no—
1084C22×D73—22no—
1085C22×D73—22no—
1086C22×D73—22no—
1087C22×D73—22no—
1088C22×D73—28no—
1089C22×D73—28no—
1090C22×D73—41no—
1091C22×D73—41no—
1092C22×D73—41no—
1093C22×D73—41no—
1094C22×D73—41no—
1095C22×D73—41no—
1096C22×D73—41no—
1097C22×D73—42no—
1098C22×D73—44no—
1099C22×D73—44no—
1100C22×D73—44no—
1101C22×D73—42no—
1102C22×D73—41no—
1103C22×D73—42no—
1104C22×D73—44no—
1105C22×D73—42no—
1106C22×D73—44no—
1107C22×D73—44no—
1108C22×D73—44no—
1109C22×D73—44no—
1110C22×D73—44no—
1111C22×D73—44no—
1112C22×D73—416no—
1113C22×D73—816no—
1114C22×D73C2514yes—
1115C22×D73C2511yescharacteristic
1116C22×D73C2511yescharacteristic
1117C22×D73C2514yes—
1118C22×D73C2512yes—
1119C22×D73C2511yescharacteristic
1120C22×D73C2511yescharacteristic
1121Q8×C73—24no—
1122Q8×C73—42no—
1123D4×C73—28no—
1124D4×C73—28no—
1125D4×C73—24no—
1126D4×C73—24no—
1127D4×C73—24no—
1128D4×C73—42no—
1129D4×C73—44no—
1130D4×C73—44no—
1131C2×C4×C73—24no—
1132C2×C4×C73—22no—
1133C2×C4×C73—22no—
1134C2×C4×C73—22no—
1135C2×C4×C73—22no—
1136C2×C4×C73—24no—
1137C2×C4×C73—41no—
1138C2×C4×C73—41no—
1139C2×C4×C73—41no—
1140C2×C4×C73—41no—
1141C2×C4×C73—42no—
1142C2×C4×C73—42no—
1143C2×C4×C73—44no—
1144C2×C4×C73—42no—
1145C2×C4×C73—44no—
1146C2×C4×C73—41no—
1147C2×C4×C73C2512yes—
1148C2×C4×C73C2512yes—
1149C2×C4×C73C2514yes—
1150C2×C4×C73C2511yescharacteristic
1151C2×C4×C73C2512yes—
1152C2×C4×C73C2514yes—
1153C2×C4×C73C2514yes—
1154C2×C4×C73C2511yescharacteristic
1155C2×C4×C73C2511yescharacteristic
1156C2×C4×C73C2511yescharacteristic
1157C22⋊D73—28no—
1158C22⋊D73—28no—
1159C22⋊D73—24no—
1160C22⋊D73—28no—
1161C22⋊D73—28no—
1162C22⋊D73—24no—
1163C22⋊D73—24no—
1164C22⋊D73—24no—
1165C22⋊D73—28no—
1166C22⋊D73—24no—
1167C22⋊D73—44no—
1168C22⋊D73—44no—
1169C22⋊D73—44no—
1170C22⋊D73—44no—
1171C22⋊D73—44no—
1172C22⋊D73—44no—
1173C22⋊D73—44no—
1174C22⋊D73—44no—
1175C22⋊D73—44no—
1176C22⋊D73—42no—
1177C22⋊D73—42no—
1178C22⋊D73—42no—
1179C2×Dic73—24no—
1180C2×Dic73—24no—
1181C2×Dic73—22no—
1182C2×Dic73—22no—
1183C2×Dic73—22no—
1184C2×Dic73—22no—
1185C2×Dic73—41no—
1186C2×Dic73—41no—
1187C2×Dic73—41no—
1188C2×Dic73—41no—
1189C2×Dic73—41no—
1190C2×Dic73—44no—
1191C2×Dic73—44no—
1192C2×Dic73C2512yes—
1193C2×Dic73C2511yescharacteristic
1194C2×Dic73C2512yes—
1195C2×Dic73C2514yes—
1196C2×Dic73C2512yes—
1197C2×Dic73C2514yes—
1198C2×Dic73C2511yescharacteristic
1199C2×Dic73C2511yescharacteristic
1200C2×Dic73C2511yescharacteristic
1201D292—28no—
1202D292—24no—
1203D292—28no—
1204D292—24no—
1205D292—24no—
1206D292—24no—
1207D292—44no—
1208D292—44no—
1209D292—42no—
1210D292—44no—
1211D292—44no—
1212D292—44no—
1213D292—44no—
1214D292—44no—
1215D292—44no—
1216D292—44no—
1217D292—42no—
1218D292—42no—
1219D292—42no—
1220D292—44no—
1221C4×D73—22no—
1222C4×D73—22no—
1223C4×D73—22no—
1224C4×D73—22no—
1225C4×D73—22no—
1226C4×D73—22no—
1227C4×D73—24no—
1228C4×D73—22no—
1229C4×D73—22no—
1230C4×D73—22no—
1231C4×D73—28no—
1232C4×D73—41no—
1233C4×D73—41no—
1234C4×D73—41no—
1235C4×D73—41no—
1236C4×D73—41no—
1237C4×D73—41no—
1238C4×D73—44no—
1239C4×D73—44no—
1240C4×D73—42no—
1241C4×D73—44no—
1242C4×D73—44no—
1243C4×D73—44no—
1244C4×D73—44no—
1245C4×D73—44no—
1246C4×D73—44no—
1247C4×D73—44no—
1248C4×D73H(5,𝔽2)14yescomplemented
1249Dic146—24no—
1250Dic146—42no—
1251Dic146—44no—
1252Dic146—44no—
1253C22×C73—21no—
1254C22×C73—21no—
1255C22×C73—21no—
1256C22×C73—21no—
1257C22×C73—21no—
1258C22×C73—21no—
1259C22×C73—22no—
1260C22×C73—24no—
1261C22×C73—22no—
1262C22×C73—24no—
1263C22×C73—22no—
1264C22×C73—24no—
1265C22×C73—44no—
1266C22×C73—84no—
1267C22×C73—82no—
1268C22×C73C2×H(5,𝔽2)12yes—
1269C22×C73C2×H(5,𝔽2)12yes—
1270C22×C73C2×H(5,𝔽2)12yes—
1271C22×C73C2611yescharacteristic
1272C2×D73—28no—
1273C2×D73—21no—
1274C2×D73—21no—
1275C2×D73—21no—
1276C2×D73—21no—
1277C2×D73—21no—
1278C2×D73—21no—
1279C2×D73—24no—
1280C2×D73—22no—
1281C2×D73—22no—
1282C2×D73—24no—
1283C2×D73—24no—
1284C2×D73—24no—
1285C2×D73—21no—
1286C2×D73—21no—
1287C2×D73—24no—
1288C2×D73—22no—
1289C2×D73—24no—
1290C2×D73—21no—
1291C2×D73—21no—
1292C2×D73—44no—
1293C2×D73—44no—
1294C2×D73—44no—
1295C2×D73—44no—
1296C2×D73—44no—
1297C2×D73—88no—
1298C2×D73—88no—
1299C2×D73—84no—
1300C2×D73—82no—
1301C2×D73—84no—
1302C2×D73—164no—
1303C2×D73—164no—
1304C2×D73C2×H(5,𝔽2)12yes—
1305C2×D73#58512yes—
1306C4×C73—22no—
1307C4×C73—22no—
1308C4×C73—24no—
1309C4×C73—21no—
1310C4×C73—21no—
1311C4×C73—21no—
1312C4×C73—24no—
1313C4×C73—24no—
1314C4×C73—22no—
1315C4×C73C2×H(5,𝔽2)12yes—
1316Dic73—22no—
1317Dic73—21no—
1318Dic73—22no—
1319Dic73—24no—
1320Dic73—24no—
1321Dic73—21no—
1322Dic73—21no—
1323Dic73—22no—
1324Dic73C2×H(5,𝔽2)12yes—
1325#62818—731nomaximal, Sylow
1326C2×C73—22no—
1327C2×C73—22no—
1328C2×C73—22no—
1329C2×C73—44no—
1330C2×C73—42no—
1331C2×C73C22×H(5,𝔽2)11yescharacteristic
1332C2×C73C22×H(5,𝔽2)11yescharacteristic
1333C2×C73C2×#58511yescharacteristic
1334D73—22no—
1335D73—22no—
1336D73—41no—
1337D73—41no—
1338D73—44no—
1339D73—44no—
1340D73—42no—
1341#3542—732no—
1342#3542—734no—
1343#3542—732no—
1344#3537—732no—
1345#3537—732no—
1346#3536—732no—
1347#3536—732no—
1348#3534—734no—
1349#3534—732no—
1350#3534—732no—
1351#3519—734no—
1352#3519—732no—
1353#3519—732no—
1354#3505—731no—
1355#3505—732no—
1356#3505D7311yescharacteristic, complemented
1357#3496—732no—
1358#3496—731no—
1359#3496—731no—
1360#3494—732no—
1361#3494—732no—
1362#3492—732no—
1363#3490—734no—
1364#3488—732no—
1365#3488—732no—
1366#3484—732no—
1367#3484—732no—
1368#3484—732no—
1369C2×#525—731no—
1370C2×#525—731no—
1371C22×#121—731no—
1372C73#6281811yescharacteristic, complemented, Sylow
1373C2×H(5,𝔽2)—732no—
1374C2×H(5,𝔽2)—732no—
1375C2×H(5,𝔽2)—732no—
1376C22×#41—731no—
1377C22×#41—731no—
1378C23×D4—732no—
1379C23×D4—731no—
1380C24×C4—731no—
1381#562—734no—
1382#562—734no—
1383#562—734no—
1384#562—734no—
1385#560—734no—
1386#560—734no—
1387#560—734no—
1388#560—734no—
1389#555—732no—
1390#555—732no—
1391#555—734no—
1392#554—734no—
1393#554—732no—
1394#554—732no—
1395#553—734no—
1396#553—734no—
1397#553—732no—
1398#553—732no—
1399#553—732no—
1400#553—734no—
1401#553—734no—
1402#553—734no—
1403#553—732no—
1404#553—732no—
1405#553—734no—
1406#553C2×D7312yescomplemented
1407#553C2×D7314yescomplemented
1408#552—732no—
1409#552—734no—
1410#552C2×D7312yescomplemented
1411#551—734no—
1412#551—734no—
1413#551—734no—
1414#551—734no—
1415#551—734no—
1416#551—734no—
1417#551—734no—
1418#551C2×D7314yescomplemented
1419#550—732no—
1420#550—732no—
1421#550—734no—
1422#548—732no—
1423#548—734no—
1424#548C2×D7312yescomplemented
1425#547—734no—
1426#547—734no—
1427#547—732no—
1428#547—732no—
1429#547—732no—
1430#547—732no—
1431#546—732no—
1432#546—732no—
1433#546—734no—
1434#546—732no—
1435#546—734no—
1436#546—734no—
1437#546—734no—
1438#546—734no—
1439#546—734no—
1440#546—734no—
1441#546—734no—
1442#546—732no—
1443#546—734no—
1444#546—732no—
1445#546—734no—
1446#546—734no—
1447#546—734no—
1448#546—734no—
1449#546—734no—
1450#546—734no—
1451#546—734no—
1452#546—734no—
1453#546—734no—
1454#546—734no—
1455#546—734no—
1456#546—734no—
1457#546—734no—
1458#546—734no—
1459#546C2×D7312yescomplemented
1460D42—732no—
1461D42—732no—
1462D42—734no—
1463D42—732no—
1464D42—734no—
1465D42—734no—
1466D42—734no—
1467D42—734no—
1468D42—734no—
1469D42—734no—
1470D42—732no—
1471D42—734no—
1472D42—734no—
1473D42—732no—
1474D42—734no—
1475D42—734no—
1476D42—732no—
1477#544—732no—
1478#543—734no—
1479#542—734no—
1480#542—732no—
1481#542—732no—
1482#540—732no—
1483#540—734no—
1484#540—734no—
1485#540—734no—
1486#540—734no—
1487#540—732no—
1488#540—734no—
1489#539—734no—
1490#539—734no—
1491#539—732no—
1492#539—734no—
1493#539C2×D7312yescomplemented
1494#538—734no—
1495#538—734no—
1496#538—734no—
1497#538—734no—
1498#538—734no—
1499#538—734no—
1500#538—734no—
1501#538—732no—
1502#538—734no—
1503#538—734no—
1504#538C2×D7312yescomplemented
1505#537—732no—
1506#537—732no—
1507#537—732no—
1508#537—734no—
1509#537—732no—
1510#537—734no—
1511#537—732no—
1512#535—732no—
1513#535—734no—
1514#535—732no—
1515#535—732no—
1516#535—734no—
1517#535—734no—
1518#535—732no—
1519#534—732no—
1520#534—734no—
1521#534—734no—
1522#534—734no—
1523#534—732no—
1524#534—734no—
1525#534—734no—
1526#534—732no—
1527#534—732no—
1528#534—734no—
1529#534—732no—
1530#534C2×D7312yescomplemented
1531#532—732no—
1532#532—734no—
1533#532—732no—
1534#529—732no—
1535#529—734no—
1536#529C2×D7312yescomplemented
1537#525—734no—
1538#525—732no—
1539#525—732no—
1540#525—732no—
1541#525—732no—
1542#525—732no—
1543#525—732no—
1544#525—732no—
1545#525—732no—
1546#525—732no—
1547#525—732no—
1548#525—732no—
1549#525—732no—
1550#525—732no—
1551#525—732no—
1552#525—732no—
1553#525—732no—
1554#525—732no—
1555#525—734no—
1556#525—734no—
1557#525C2×D7312yescomplemented
1558C2×#123—732no—
1559C2×#123—731no—
1560C2×#123—731no—
1561C2×C22⋊Q8—731no—
1562C2×C22⋊Q8—731no—
1563C2×C22⋊Q8—731no—
1564C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1565C2×#121—732no—
1566C2×#121—731no—
1567C2×#121—731no—
1568C2×#121—731no—
1569C2×#121—731no—
1570C2×#121—732no—
1571C2×#121—732no—
1572C2×#121—732no—
1573C2×#121—732no—
1574C2×#121—732no—
1575C2×#121—732no—
1576C2×#121—732no—
1577C2×#121—732no—
1578C2×#121—732no—
1579C2×#121—732no—
1580C2×#121—734no—
1581C2×#121—731no—
1582C2×#121—731no—
1583C2×#121—732no—
1584C2×#121—731no—
1585C2×#121C2×D7311yescharacteristic, complemented
1586C2×#120—731no—
1587C2×#120—734no—
1588C2×#120—732no—
1589C2×#120—731no—
1590C2×#120—734no—
1591#520—732no—
1592#520—732no—
1593#518—732no—
1594#518—734no—
1595#518—734no—
1596#518—732no—
1597#518C2×D7312yescomplemented
1598C2×C4×D4—731no—
1599C2×C4×D4—731no—
1600C2×C4×D4—732no—
1601C2×C4×D4—732no—
1602C2×C4×D4—731no—
1603C2×C4×D4C2×D7311yescharacteristic, complemented
1604C2×#117—731no—
1605C2×#117—731no—
1606C22×C4⋊C4—731no—
1607C22×C22⋊C4—732no—
1608C25—732no—
1609C25—731no—
1610H(5,𝔽2)—2928no—
1611H(5,𝔽2)—2928no—
1612H(5,𝔽2)—2928no—
1613C2×#41—2924no—
1614C2×#41—2924no—
1615C2×#41—732no—
1616C2×#41—732no—
1617C2×#41—732no—
1618C2×#41—732no—
1619C2×#41—732no—
1620C2×#41—734no—
1621C2×#41—734no—
1622C2×#41—734no—
1623C2×#41—734no—
1624C2×#41—732no—
1625C2×#41—732no—
1626C2×#41—732no—
1627C2×#41—734no—
1628C2×#41—734no—
1629C2×#41—734no—
1630C2×#41—732no—
1631C2×#41C22×D7312yescomplemented
1632C22×Q8—731no—
1633C22×Q8C22×D7311yescharacteristic, complemented
1634C22×D4—2928no—
1635C22×D4—2924no—
1636C22×D4—731no—
1637C22×D4—731no—
1638C22×D4—734no—
1639C22×D4—732no—
1640C22×D4—731no—
1641C22×D4—732no—
1642C22×D4—734no—
1643C22×D4—734no—
1644C22×D4—734no—
1645C22×D4—734no—
1646C22×D4—732no—
1647C22×D4—734no—
1648C22×D4—734no—
1649C22×D4—734no—
1650C22×D4—734no—
1651C22×D4—732no—
1652C22×D4—732no—
1653C22×D4—734no—
1654C22×D4—734no—
1655C22×D4—734no—
1656C22×D4—732no—
1657C22×D4—734no—
1658C22×D4—731no—
1659C22×D4—732no—
1660C22×D4—732no—
1661C22×D4—732no—
1662C22×D4—732no—
1663C22×D4—731no—
1664C22×D4—734no—
1665C22×D4—732no—
1666C22×D4—731no—
1667C22×D4—734no—
1668C22×D4—732no—
1669C22×D4—731no—
1670C22×D4—731no—
1671C22×D4—732no—
1672C22×D4C22×D7311yescharacteristic
1673C22×D4C22×D7312yes—
1674C22×D4C22×D7311yescharacteristic
1675C23×C4—2924no—
1676C23×C4—731no—
1677C23×C4—731no—
1678C23×C4—732no—
1679C23×C4—731no—
1680C23×C4—731no—
1681C23×C4—731no—
1682C23×C4—732no—
1683C23×C4—731no—
1684C23×C4—731no—
1685C23×C4—731no—
1686C23×C4—731no—
1687C23×C4—731no—
1688C23×C4—731no—
1689C23×C4—731no—
1690C23×C4—731no—
1691C23×C4—731no—
1692C23×C4C22×D7311yescharacteristic
1693C23×C4C22×D7311yescharacteristic, complemented
1694C4⋊Q8—734no—
1695C4⋊Q8—732no—
1696C4⋊Q8—732no—
1697#127—732no—
1698#127—734no—
1699#127—734no—
1700#127—734no—
1701#127—732no—
1702#127—734no—
1703#127—734no—
1704#126—734no—
1705#126—734no—
1706#126—734no—
1707#126—734no—
1708#126—734no—
1709#126—734no—
1710#126—734no—
1711#126—734no—
1712#126—734no—
1713#126C22×D7314yescomplemented
1714#126C22×D7314yescomplemented
1715#126C22×D7314yescomplemented
1716#125—734no—
1717#125—732no—
1718#125—734no—
1719#125—734no—
1720#125—734no—
1721#125C22×D7312yescomplemented
1722#125C22×D7314yescomplemented
1723#124—732no—
1724#124—734no—
1725#124—734no—
1726#124—734no—
1727#124—734no—
1728#124—734no—
1729#124—734no—
1730#124—734no—
1731#124—734no—
1732#124—734no—
1733#124—734no—
1734#124—734no—
1735#124—734no—
1736#124C22×D7312yescomplemented
1737#124C22×D7314yescomplemented
1738#123—734no—
1739#123—734no—
1740#123—734no—
1741#123—734no—
1742#123—734no—
1743#123—732no—
1744#123—732no—
1745#123—734no—
1746#123—732no—
1747#123—734no—
1748#123—734no—
1749#123—732no—
1750#123—734no—
1751#123—734no—
1752#123—734no—
1753#123—734no—
1754#123—734no—
1755#123—734no—
1756#123—734no—
1757#123—734no—
1758#123—734no—
1759#123—734no—
1760#123—732no—
1761#123—732no—
1762#123—732no—
1763#123—732no—
1764#123—734no—
1765#123—734no—
1766#123—734no—
1767#123—734no—
1768#123—734no—
1769#123—734no—
1770#123—734no—
1771#123—734no—
1772#123—734no—
1773#123—734no—
1774#123—734no—
1775#123—734no—
1776#123—734no—
1777#123C22×D7314yes—
1778#123C22×D7314yescomplemented
1779#123C22×D7314yescomplemented
1780#123C22×D7314yescomplemented
1781#123C22×D7314yescomplemented
1782C22⋊Q8—732no—
1783C22⋊Q8—732no—
1784C22⋊Q8—732no—
1785C22⋊Q8—732no—
1786C22⋊Q8—732no—
1787C22⋊Q8—734no—
1788C22⋊Q8—734no—
1789C22⋊Q8—732no—
1790C22⋊Q8—732no—
1791C22⋊Q8—732no—
1792C22⋊Q8—732no—
1793C22⋊Q8—734no—
1794C22⋊Q8—734no—
1795C22⋊Q8—734no—
1796C22⋊Q8—734no—
1797C22⋊Q8—734no—
1798C22⋊Q8—734no—
1799C22⋊Q8—734no—
1800C22⋊Q8—734no—
1801C22⋊Q8—734no—
1802C22⋊Q8—734no—
1803C22⋊Q8—734no—
1804C22⋊Q8—732no—
1805C22⋊Q8—732no—
1806C22⋊Q8—732no—
1807C22⋊Q8—732no—
1808C22⋊Q8—734no—
1809C22⋊Q8—734no—
1810C22⋊Q8—734no—
1811C22⋊Q8C22×D7312yes—
1812C22⋊Q8C22×D7312yes—
1813C22⋊Q8C22×D7312yescomplemented
1814C22⋊Q8C22×D7312yescomplemented
1815C22⋊Q8C22×D7312yescomplemented
1816C22⋊Q8C22×D7314yescomplemented
1817#121—734no—
1818#121—732no—
1819#121—734no—
1820#121—732no—
1821#121—732no—
1822#121—734no—
1823#121—734no—
1824#121—732no—
1825#121—732no—
1826#121—732no—
1827#121—732no—
1828#121—732no—
1829#121—734no—
1830#121—732no—
1831#121—734no—
1832#121—734no—
1833#121—734no—
1834#121—734no—
1835#121—734no—
1836#121—734no—
1837#121—734no—
1838#121—732no—
1839#121—732no—
1840#121—732no—
1841#121—732no—
1842#121—732no—
1843#121—732no—
1844#121—732no—
1845#121—732no—
1846#121—734no—
1847#121—734no—
1848#121—732no—
1849#121—732no—
1850#121—734no—
1851#121—734no—
1852#121—734no—
1853#121—734no—
1854#121—734no—
1855#121—734no—
1856#121—734no—
1857#121—734no—
1858#121—732no—
1859#121—732no—
1860#121—732no—
1861#121—732no—
1862#121—732no—
1863#121—732no—
1864#121—732no—
1865#121—732no—
1866#121—732no—
1867#121—734no—
1868#121—734no—
1869#121—732no—
1870#121—734no—
1871#121—734no—
1872#121—734no—
1873#121—734no—
1874#121—734no—
1875#121—734no—
1876#121—734no—
1877#121—734no—
1878#121—734no—
1879#121—734no—
1880#121—734no—
1881#121—734no—
1882#121—734no—
1883#121—734no—
1884#121—732no—
1885#121—732no—
1886#121—732no—
1887#121—732no—
1888#121—734no—
1889#121—734no—
1890#121—734no—
1891#121—734no—
1892#121—734no—
1893#121—734no—
1894#121—734no—
1895#121—734no—
1896#121—734no—
1897#121—734no—
1898#121—734no—
1899#121—734no—
1900#121—734no—
1901#121—734no—
1902#121C22×D7312yes—
1903#121C22×D7312yes—
1904#121C22×D7312yes—
1905#121C22×D7312yes—
1906#121C22×D7314yescomplemented
1907#121C22×D7312yescomplemented
1908#121C22×D7314yescomplemented
1909#121C22×D7314yescomplemented
1910#120—734no—
1911#120—732no—
1912#120—732no—
1913#120—732no—
1914#120—732no—
1915#120—734no—
1916#120—734no—
1917#120—734no—
1918#120—734no—
1919#120—734no—
1920#120—734no—
1921#120—734no—
1922#120—732no—
1923#120—734no—
1924#120—732no—
1925#120—734no—
1926#120—732no—
1927#120—734no—
1928#120—732no—
1929#120—734no—
1930#120—734no—
1931#120—734no—
1932#120—734no—
1933#120—734no—
1934#120—734no—
1935#120—734no—
1936#120—734no—
1937#120—734no—
1938#120—734no—
1939#120—734no—
1940#120—734no—
1941#120—734no—
1942#120—734no—
1943#120—734no—
1944#120—734no—
1945#120—734no—
1946#120—734no—
1947#120—734no—
1948#120C22×D7314yes—
1949#120C22×D7314yescomplemented
1950C4×Q8—732no—
1951C4×Q8—734no—
1952C4×Q8C22×D7312yescomplemented
1953C4×D4—734no—
1954C4×D4—732no—
1955C4×D4—732no—
1956C4×D4—732no—
1957C4×D4—732no—
1958C4×D4—732no—
1959C4×D4—732no—
1960C4×D4—732no—
1961C4×D4—732no—
1962C4×D4—732no—
1963C4×D4—734no—
1964C4×D4—734no—
1965C4×D4—734no—
1966C4×D4—734no—
1967C4×D4—734no—
1968C4×D4—734no—
1969C4×D4—734no—
1970C4×D4—734no—
1971C4×D4—734no—
1972C4×D4—734no—
1973C4×D4—732no—
1974C4×D4—734no—
1975C4×D4—734no—
1976C4×D4—732no—
1977C4×D4—734no—
1978C4×D4—734no—
1979C4×D4—734no—
1980C4×D4—734no—
1981C4×D4—734no—
1982C4×D4—734no—
1983C4×D4—734no—
1984C4×D4—734no—
1985C4×D4—734no—
1986C4×D4—734no—
1987C4×D4—734no—
1988C4×D4—732no—
1989C4×D4—732no—
1990C4×D4—732no—
1991C4×D4—732no—
1992C4×D4—734no—
1993C4×D4—734no—
1994C4×D4—734no—
1995C4×D4—734no—
1996C4×D4—732no—
1997C4×D4—734no—
1998C4×D4—734no—
1999C4×D4—732no—
2000C4×D4C22×D7312yes—
2001C4×D4C22×D7312yes—
2002C4×D4C22×D7312yescomplemented
2003C4×D4C22×D7312yescomplemented
2004C4×D4C22×D7314yescomplemented
2005C4×D4C22×D7312yescomplemented
2006C4×D4C22×D7314yescomplemented
2007C4×D4C22×D7314yescomplemented
2008C4×D4C22×D7314yescomplemented
2009C4×D4C22×D7314yescomplemented
2010#117—734no—
2011#117—732no—
2012#117—732no—
2013#117—732no—
2014#117—732no—
2015#117—734no—
2016#117—732no—
2017#117—734no—
2018#117—732no—
2019#117—732no—
2020#117—732no—
2021#117—732no—
2022#117—734no—
2023#117—734no—
2024#117C22×D7314yes—
2025#117C22×D7314yescomplemented
2026#117C22×D7312yescomplemented
2027C2×C4⋊C4—732no—
2028C2×C4⋊C4—731no—
2029C2×C4⋊C4—731no—
2030C2×C4⋊C4—731no—
2031C2×C4⋊C4—731no—
2032C2×C4⋊C4—731no—
2033C2×C4⋊C4—732no—
2034C2×C4⋊C4—731no—
2035C2×C4⋊C4—731no—
2036C2×C4⋊C4—732no—
2037C2×C4⋊C4—732no—
2038C2×C4⋊C4—732no—
2039C2×C4⋊C4—732no—
2040C2×C4⋊C4—732no—
2041C2×C4⋊C4—734no—
2042C2×C4⋊C4—732no—
2043C2×C4⋊C4C22×D7311yescharacteristic
2044C2×C4⋊C4C22×D7311yescharacteristic, complemented
2045C2×C4⋊C4C22×D7312yescomplemented
2046C2×C4⋊C4C22×D7311yescharacteristic, complemented
2047C2×C22⋊C4—732no—
2048C2×C22⋊C4—731no—
2049C2×C22⋊C4—731no—
2050C2×C22⋊C4—732no—
2051C2×C22⋊C4—732no—
2052C2×C22⋊C4—731no—
2053C2×C22⋊C4—732no—
2054C2×C22⋊C4—731no—
2055C2×C22⋊C4—731no—
2056C2×C22⋊C4—732no—
2057C2×C22⋊C4—731no—
2058C2×C22⋊C4—731no—
2059C2×C22⋊C4—732no—
2060C2×C22⋊C4—731no—
2061C2×C22⋊C4—732no—
2062C2×C22⋊C4—734no—
2063C2×C22⋊C4—734no—
2064C2×C22⋊C4—734no—
2065C2×C22⋊C4—734no—
2066C2×C22⋊C4—734no—
2067C2×C22⋊C4—734no—
2068C2×C22⋊C4—734no—
2069C2×C22⋊C4—734no—
2070C2×C22⋊C4—734no—
2071C2×C22⋊C4—734no—
2072C2×C22⋊C4—734no—
2073C2×C22⋊C4—734no—
2074C2×C22⋊C4—734no—
2075C2×C22⋊C4C22×D7312yes—
2076C2×C22⋊C4C22×D7312yes—
2077C2×C22⋊C4C22×D7311yescharacteristic
2078C2×C22⋊C4C22×D7314yes—
2079C2×C22⋊C4C22×D7311yescharacteristic, complemented
2080C2×C42—731no—
2081C2×C42—732no—
2082C2×C42C22×D7311yescharacteristic, complemented
2083C24—2924no—
2084C24—2922no—
2085C24—2922no—
2086C24—2924no—
2087C24—2924no—
2088C24—734no—
2089C24—734no—
2090C24—734no—
2091C24—734no—
2092C24—732no—
2093C24—732no—
2094C24—731no—
2095C24—731no—
2096C24—731no—
2097C24—731no—
2098C24—731no—
2099C24—731no—
2100C24—731no—
2101C24—1464no—
2102C24C23×D7312yes—
2103C24C23×D7311yescharacteristic
2104C24C23×D7311yescharacteristic
2105#41—44no—
2106#41—2928no—
2107#41—2928no—
2108#41—2924no—
2109#41—2924no—
2110#41—2928no—
2111#41—2924no—
2112#41—2928no—
2113#41—2928no—
2114#41—2928no—
2115#41—2928no—
2116#41—2924no—
2117#41—2924no—
2118#41—2924no—
2119#41—2924no—
2120#41—1468no—
2121#41—1468no—
2122C2×Q8—42no—
2123C2×Q8—2922no—
2124C2×Q8—732no—
2125C2×Q8—734no—
2126C2×Q8—734no—
2127C2×Q8—732no—
2128C2×Q8C23×D7312yes—
2129C2×Q8C23×D7312yes—
2130C2×D4—28no—
2131C2×D4—24no—
2132C2×D4—42no—
2133C2×D4—2924no—
2134C2×D4—2922no—
2135C2×D4—2922no—
2136C2×D4—2924no—
2137C2×D4—2922no—
2138C2×D4—2924no—
2139C2×D4—2928no—
2140C2×D4—2922no—
2141C2×D4—2924no—
2142C2×D4—2928no—
2143C2×D4—2928no—
2144C2×D4—2928no—
2145C2×D4—2928no—
2146C2×D4—2928no—
2147C2×D4—2928no—
2148C2×D4—2928no—
2149C2×D4—2928no—
2150C2×D4—2928no—
2151C2×D4—2928no—
2152C2×D4—2928no—
2153C2×D4—2928no—
2154C2×D4—2928no—
2155C2×D4—2922no—
2156C2×D4—2922no—
2157C2×D4—2924no—
2158C2×D4—2924no—
2159C2×D4—2924no—
2160C2×D4—2924no—
2161C2×D4—2928no—
2162C2×D4—2924no—
2163C2×D4—2924no—
2164C2×D4—2922no—
2165C2×D4—734no—
2166C2×D4—732no—
2167C2×D4—732no—
2168C2×D4—732no—
2169C2×D4—734no—
2170C2×D4—734no—
2171C2×D4—734no—
2172C2×D4—734no—
2173C2×D4—734no—
2174C2×D4—734no—
2175C2×D4—734no—
2176C2×D4—734no—
2177C2×D4—732no—
2178C2×D4—732no—
2179C2×D4—734no—
2180C2×D4—732no—
2181C2×D4—732no—
2182C2×D4—734no—
2183C2×D4—734no—
2184C2×D4—734no—
2185C2×D4—734no—
2186C2×D4—732no—
2187C2×D4—734no—
2188C2×D4—734no—
2189C2×D4—734no—
2190C2×D4—732no—
2191C2×D4—732no—
2192C2×D4—734no—
2193C2×D4—732no—
2194C2×D4—734no—
2195C2×D4—734no—
2196C2×D4—734no—
2197C2×D4—732no—
2198C2×D4—734no—
2199C2×D4—734no—
2200C2×D4—734no—
2201C2×D4—734no—
2202C2×D4—732no—
2203C2×D4—734no—
2204C2×D4—732no—
2205C2×D4—732no—
2206C2×D4—732no—
2207C2×D4—1468no—
2208C2×D4—1468no—
2209C2×D4—1464no—
2210C2×D4—1468no—
2211C2×D4C23×D7312yes—
2212C2×D4C23×D7312yes—
2213C2×D4C23×D7312yes—
2214C2×D4C23×D7314yes—
2215C2×D4C23×D7314yes—
2216C2×D4C23×D7314yes—
2217C2×D4C23×D7312yes—
2218C2×D4C23×D7314yes—
2219C22×C4—42no—
2220C22×C4—42no—
2221C22×C4—2924no—
2222C22×C4—2922no—
2223C22×C4—2922no—
2224C22×C4—2922no—
2225C22×C4—2922no—
2226C22×C4—2922no—
2227C22×C4—2922no—
2228C22×C4—2922no—
2229C22×C4—2922no—
2230C22×C4—2922no—
2231C22×C4—2922no—
2232C22×C4—2924no—
2233C22×C4—2922no—
2234C22×C4—731no—
2235C22×C4—731no—
2236C22×C4—731no—
2237C22×C4—731no—
2238C22×C4—731no—
2239C22×C4—734no—
2240C22×C4—734no—
2241C22×C4—731no—
2242C22×C4—731no—
2243C22×C4—734no—
2244C22×C4—734no—
2245C22×C4—734no—
2246C22×C4—734no—
2247C22×C4—732no—
2248C22×C4—734no—
2249C22×C4—734no—
2250C22×C4—734no—
2251C22×C4—734no—
2252C22×C4—734no—
2253C22×C4—731no—
2254C22×C4—731no—
2255C22×C4—731no—
2256C22×C4—731no—
2257C22×C4—731no—
2258C22×C4—731no—
2259C22×C4—732no—
2260C22×C4—731no—
2261C22×C4—732no—
2262C22×C4—731no—
2263C22×C4—731no—
2264C22×C4—731no—
2265C22×C4—731no—
2266C22×C4—731no—
2267C22×C4—731no—
2268C22×C4—731no—
2269C22×C4—734no—
2270C22×C4—732no—
2271C22×C4—731no—
2272C22×C4—731no—
2273C22×C4—731no—
2274C22×C4—731no—
2275C22×C4—1464no—
2276C22×C4—1464no—
2277C22×C4—1464no—
2278C22×C4C23×D7311yescharacteristic
2279C22×C4C23×D7311yescharacteristic
2280C22×C4C23×D7312yes—
2281C22×C4C23×D7311yescharacteristic
2282C22×C4C23×D7311yescharacteristic
2283C22×C4C23×D7312yes—
2284C22×C4C23×D7312yes—
2285C22×C4C23×D7311yescharacteristic
2286C22×C4C23×D7311yescharacteristic
2287C22×C4C23×D7311yescharacteristic
2288C22×C4C23×D7312yes—
2289C22×C4C23×D7312yes—
2290C22×C4C23×D7311yescharacteristic
2291C22×C4C23×D7314yes—
2292C22×C4C23×D7314yes—
2293C22×C4C23×D7311yescharacteristic
2294C4⋊C4—734no—
2295C4⋊C4—732no—
2296C4⋊C4—734no—
2297C4⋊C4—732no—
2298C4⋊C4—732no—
2299C4⋊C4—732no—
2300C4⋊C4—732no—
2301C4⋊C4—732no—
2302C4⋊C4—734no—
2303C4⋊C4—732no—
2304C4⋊C4—734no—
2305C4⋊C4—732no—
2306C4⋊C4—734no—
2307C4⋊C4—734no—
2308C4⋊C4—734no—
2309C4⋊C4—734no—
2310C4⋊C4—732no—
2311C4⋊C4—732no—
2312C4⋊C4—732no—
2313C4⋊C4—732no—
2314C4⋊C4—732no—
2315C4⋊C4—732no—
2316C4⋊C4—734no—
2317C4⋊C4—734no—
2318C4⋊C4—734no—
2319C4⋊C4—734no—
2320C4⋊C4C23×D7312yes—
2321C4⋊C4C23×D7312yes—
2322C4⋊C4C23×D7314yes—
2323C4⋊C4C23×D7312yes—
2324C4⋊C4C23×D7312yes—
2325C4⋊C4C23×D7314yes—
2326C4⋊C4C23×D7314yes—
2327C4⋊C4C23×D7312yes—
2328C4⋊C4C23×D7312yes—
2329C4⋊C4C23×D7314yes—
2330C4⋊C4C23×D7314yes—
2331C4⋊C4C23×D7314yes—
2332C22⋊C4—734no—
2333C22⋊C4—732no—
2334C22⋊C4—732no—
2335C22⋊C4—734no—
2336C22⋊C4—734no—
2337C22⋊C4—732no—
2338C22⋊C4—734no—
2339C22⋊C4—732no—
2340C22⋊C4—734no—
2341C22⋊C4—734no—
2342C22⋊C4—732no—
2343C22⋊C4—734no—
2344C22⋊C4—732no—
2345C22⋊C4—734no—
2346C22⋊C4—732no—
2347C22⋊C4—732no—
2348C22⋊C4—732no—
2349C22⋊C4—734no—
2350C22⋊C4—734no—
2351C22⋊C4—734no—
2352C22⋊C4—734no—
2353C22⋊C4—734no—
2354C22⋊C4—732no—
2355C22⋊C4—734no—
2356C22⋊C4—732no—
2357C22⋊C4—734no—
2358C22⋊C4—734no—
2359C22⋊C4—734no—
2360C22⋊C4—734no—
2361C22⋊C4—734no—
2362C22⋊C4—734no—
2363C22⋊C4—734no—
2364C22⋊C4—734no—
2365C22⋊C4—732no—
2366C22⋊C4—734no—
2367C22⋊C4—732no—
2368C22⋊C4—732no—
2369C22⋊C4—732no—
2370C22⋊C4—734no—
2371C22⋊C4—732no—
2372C22⋊C4—734no—
2373C22⋊C4—734no—
2374C22⋊C4—734no—
2375C22⋊C4—734no—
2376C22⋊C4C23×D7314yes—
2377C22⋊C4C23×D7314yes—
2378C22⋊C4C23×D7314yes—
2379C22⋊C4C23×D7314yes—
2380C22⋊C4C23×D7314yes—
2381C22⋊C4C23×D7314yes—
2382C22⋊C4C23×D7312yes—
2383C22⋊C4C23×D7314yes—
2384C22⋊C4C23×D7312yes—
2385C22⋊C4C23×D7314yes—
2386C22⋊C4C23×D7314yes—
2387C22⋊C4C23×D7312yes—
2388C22⋊C4C23×D7312yes—
2389C22⋊C4C23×D7314yes—
2390C42—732no—
2391C42—734no—
2392C42—734no—
2393C42—732no—
2394C42—734no—
2395C42—734no—
2396C42C23×D7312yes—
2397C42C23×D7312yes—
2398C42C23×D7314yes—
2399C42C23×D7314yes—
2400C23—22no—
2401C23—24no—
2402C23—41no—
2403C23—41no—
2404C23—41no—
2405C23—42no—
2406C23—41no—
2407C23—42no—
2408C23—2921no—
2409C23—2921no—
2410C23—2921no—
2411C23—2921no—
2412C23—2921no—
2413C23—2921no—
2414C23—2922no—
2415C23—2921no—
2416C23—2922no—
2417C23—2924no—
2418C23—2924no—
2419C23—2924no—
2420C23—2922no—
2421C23—2921no—
2422C23—2922no—
2423C23—2924no—
2424C23—2924no—
2425C23—2924no—
2426C23—2924no—
2427C23—2924no—
2428C23—2924no—
2429C23—2924no—
2430C23—29216no—
2431C23—58416no—
2432C23—731no—
2433C23—731no—
2434C23—734no—
2435C23—731no—
2436C23—731no—
2437C23—734no—
2438C23—732no—
2439C23—1462no—
2440C23—1462no—
2441C23—1462no—
2442C23—1462no—
2443C23—1468no—
2444C23—1468no—
2445C23—1462no—
2446C23—1462no—
2447C23—1462no—
2448C23—1462no—
2449C23—1462no—
2450C23—1462no—
2451C23—1462no—
2452C23—1462no—
2453C23—1464no—
2454C23—1464no—
2455C23—1462no—
2456C23#1455663714yescomplemented
2457C23C24×D7314yes—
2458C23C24×D7312yes—
2459C23C24×D7311yescharacteristic
2460C23C24×D7311yescharacteristic
2461C23C24×D7311yescharacteristic
2462Q8—24no—
2463Q8—42no—
2464Q8—2922no—
2465Q8—2924no—
2466Q8—2924no—
2467Q8—1464no—
2468D4—28no—
2469D4—28no—
2470D4—24no—
2471D4—24no—
2472D4—24no—
2473D4—42no—
2474D4—44no—
2475D4—44no—
2476D4—2922no—
2477D4—2924no—
2478D4—2924no—
2479D4—2924no—
2480D4—2924no—
2481D4—2924no—
2482D4—2924no—
2483D4—2922no—
2484D4—2922no—
2485D4—2924no—
2486D4—2924no—
2487D4—2922no—
2488D4—2924no—
2489D4—2924no—
2490D4—2924no—
2491D4—2924no—
2492D4—2924no—
2493D4—2924no—
2494D4—2924no—
2495D4—2924no—
2496D4—2924no—
2497D4—2924no—
2498D4—2922no—
2499D4—2922no—
2500D4—2924no—
2501D4—2922no—
2502D4—1464no—
2503D4—1468no—
2504D4—1464no—
2505D4—1468no—
2506D4—1468no—
2507D4—1464no—
2508D4—1464no—
2509D4—1464no—
2510D4—1468no—
2511D4—1468no—
2512D4—1468no—
2513D4—1464no—
2514D4—1468no—
2515D4—1464no—
2516D4—1464no—
2517D4—1464no—
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—2921no—
2535C2×C4—2921no—
2536C2×C4—2921no—
2537C2×C4—2921no—
2538C2×C4—2921no—
2539C2×C4—2921no—
2540C2×C4—2924no—
2541C2×C4—2924no—
2542C2×C4—2922no—
2543C2×C4—2924no—
2544C2×C4—2924no—
2545C2×C4—2924no—
2546C2×C4—2924no—
2547C2×C4—2924no—
2548C2×C4—2924no—
2549C2×C4—2924no—
2550C2×C4—2921no—
2551C2×C4—2921no—
2552C2×C4—2921no—
2553C2×C4—2921no—
2554C2×C4—2924no—
2555C2×C4—2924no—
2556C2×C4—2921no—
2557C2×C4—731no—
2558C2×C4—734no—
2559C2×C4—732no—
2560C2×C4—731no—
2561C2×C4—732no—
2562C2×C4—732no—
2563C2×C4—734no—
2564C2×C4—734no—
2565C2×C4—731no—
2566C2×C4—731no—
2567C2×C4—1462no—
2568C2×C4—1462no—
2569C2×C4—1462no—
2570C2×C4—1468no—
2571C2×C4—1462no—
2572C2×C4—1462no—
2573C2×C4—1462no—
2574C2×C4—1462no—
2575C2×C4—1462no—
2576C2×C4—1462no—
2577C2×C4—1464no—
2578C2×C4—1462no—
2579C2×C4—1464no—
2580C2×C4—1462no—
2581C2×C4—1462no—
2582C2×C4—1462no—
2583C2×C4—1464no—
2584C2×C4C24×D7314yes—
2585C2×C4C24×D7311yescharacteristic
2586C2×C4C24×D7314yes—
2587C2×C4C24×D7312yes—
2588C2×C4C24×D7312yes—
2589C2×C4C24×D7312yes—
2590C2×C4C24×D7314yes—
2591C2×C4C24×D7311yescharacteristic
2592C2×C4C24×D7311yescharacteristic
2593C2×C4C24×D7311yescharacteristic
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—2924no—
2610C22—2924no—
2611C22—2924no—
2612C22—2924no—
2613C22—2924no—
2614C22—5844no—
2615C22—5842no—
2616C22—5844no—
2617C22—5848no—
2618C22—5848no—
2619C22—732no—
2620C22—732no—
2621C22—11684no—
2622C22—11684no—
2623C22—1468no—
2624C22—1461no—
2625C22—1461no—
2626C22—1464no—
2627C22—1462no—
2628C22—1464no—
2629C22—1462no—
2630C22—1464no—
2631C22—1464no—
2632C22—1461no—
2633C22—1461no—
2634C22—1464no—
2635C22—1461no—
2636C22—1461no—
2637C22—1462no—
2638C22—1464no—
2639C22—1461no—
2640C22—1461no—
2641C22—1461no—
2642C22—1461no—
2643C22C2×#1455663712yes—
2644C22C2×#1455663712yes—
2645C22C2×#1455663712yes—
2646C22C25×D7311yescharacteristic
2647C4—21no—
2648C4—22no—
2649C4—21no—
2650C4—21no—
2651C4—24no—
2652C4—24no—
2653C4—22no—
2654C4—22no—
2655C4—24no—
2656C4—732no—
2657C4—1461no—
2658C4—1461no—
2659C4—1461no—
2660C4—1462no—
2661C4—1464no—
2662C4—1462no—
2663C4—1464no—
2664C4—1462no—
2665C4H(5,𝔽2)×D7312yes—
2666C2—22no—
2667C2—22no—
2668C2—22no—
2669C2—44no—
2670C2—42no—
2671C2—2921no—
2672C2—2921no—
2673C2—2924no—
2674C2—2922no—
2675C2—2924no—
2676C2—1462no—
2677C2—1462no—
2678C2C2×H(5,𝔽2)×D7311yescharacteristic
2679C2C22×#1455663711yescharacteristic
2680C2#585×D7311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3505C2
hypercenter#3505D73
hypocenterC73#62818
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3505

Complements

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

NH ≅ G/Ntype
1. #22624241C2semidirect
2. #22624240C2semidirect
3. #22624233C2semidirect
4. #22624167C2semidirect
5. #22624163C2semidirect
6. #22624155C2semidirect
7. #22624147C2semidirect
8. #22624126C2semidirect
9. #22624122C2semidirect
10. #22624108C2semidirect
11. #22623965C2semidirect
12. #22623959C2semidirect
13. #22623951C2semidirect
14. #22623772C2semidirect
15. #22623761C2semidirect
16. #22623695C2semidirect
17. #22623692C2semidirect
18. #22623688C2semidirect
19. #22623662C2semidirect
20. #22623654C2semidirect
21. #22623631C2semidirect
22. #22623615C2semidirect
23. #22623597C2semidirect
24. #22623592C2semidirect
25. #22623567C2semidirect
26. #22623563C2semidirect
27. #22623561C2semidirect
28. C2×#17989100C2semidirect
29. C2×#17989096C2semidirect
30. C2×#121×D73C2semidirect
31. C73×#3505C2semidirect
32. C2×#14556637C22semidirect
33. C2×#14556636C22semidirect
34. C2×#14556636C22semidirect
35. C22×#11924029C22semidirect
36. C22×#11924028C22semidirect
37. C22×D4×D73C22semidirect
38. C22×D4×D73C22semidirect
39. C23×C4×D73C22semidirect
40. #17989335C22semidirect
41. #17989334C22semidirect
42. #17989333C22semidirect
43. #17989331C22semidirect
44. #17989328C22semidirect
45. #17989328C22semidirect
46. #17989327C22semidirect
47. #17989325C22semidirect
48. #17989302C22semidirect
49. #17989300C22semidirect
50. #17989300C22semidirect
51. #17989297C22semidirect
52. #17989295C22semidirect
53. #17989293C22semidirect
54. #17989290C22semidirect
55. #17989290C22semidirect
56. #17989289C22semidirect
57. #17989288C22semidirect
58. #17989288C22semidirect
59. #17989286C22semidirect
60. #17989286C22semidirect
61. #17989285C22semidirect
62. #17989285C22semidirect
63. #17989283C22semidirect
64. #17989281C22semidirect
65. #17989279C22semidirect
66. #17989270C22semidirect
67. #17989264C22semidirect
68. #17989263C22semidirect
69. #17989262C22semidirect
70. #17989262C22semidirect
71. #17989261C22semidirect
72. #17989261C22semidirect
73. #17989260C22semidirect
74. #17989259C22semidirect
75. #17989258C22semidirect
76. #17989256C22semidirect
77. #17989248C22semidirect
78. #17989246C22semidirect
79. #17989241C22semidirect
80. #17989241C22semidirect
81. #17989238C22semidirect
82. #17989237C22semidirect
83. #17989235C22semidirect
84. #17989235C22semidirect
85. #17989233C22semidirect
86. #17989232C22semidirect
87. #17989232C22semidirect
88. #17989232C22semidirect
89. #17989232C22semidirect
90. #17989232C22semidirect
91. #17989232C22semidirect
92. #17989230C22semidirect
93. #17989230C22semidirect
94. #17989230C22semidirect
95. #17989229C22semidirect
96. #17989229C22semidirect
97. #17989229C22semidirect
98. #17989229C22semidirect
99. #17989229C22semidirect
100. #17989229C22semidirect
101. #17989229C22semidirect
102. #17989228C22semidirect
103. #17989228C22semidirect
104. #17989228C22semidirect
105. #17989227C22semidirect
106. #17989227C22semidirect
107. #17989226C22semidirect
108. #17989226C22semidirect
109. #17989226C22semidirect
110. #17989225C22semidirect
111. #17989224C22semidirect
112. #17989224C22semidirect
113. D4×D292C22semidirect
114. D4×D292C22semidirect
115. D4×D292C22semidirect
116. D4×D292C22semidirect
117. D4×D292C22semidirect
118. D4×D292C22semidirect
119. D4×D292C22semidirect
120. #17989221C22semidirect
121. #17989221C22semidirect
122. #17989221C22semidirect
123. #17989221C22semidirect
124. #17989221C22semidirect
125. D4×C22⋊D73C22semidirect
126. #17989219C22semidirect
127. #17989219C22semidirect
128. #17989219C22semidirect
129. #17989219C22semidirect
130. #17989217C22semidirect
131. #17989212C22semidirect
132. #17989209C22semidirect
133. #17989206C22semidirect
134. #17989203C22semidirect
135. #17989193C22semidirect
136. #17989193C22semidirect
137. #17989192C22semidirect
138. #17989190C22semidirect
139. #17989189C22semidirect
140. #17989189C22semidirect
141. #17989188C22semidirect
142. #17989186C22semidirect
143. #17989185C22semidirect
144. #17989179C22semidirect
145. #17989178C22semidirect
146. #17989177C22semidirect
147. #17989176C22semidirect
148. #17989176C22semidirect
149. #17989176C22semidirect
150. #17989176C22semidirect
151. #17989173C22semidirect
152. #17989173C22semidirect
153. #17989171C22semidirect
154. #17989170C22semidirect
155. #17989170C22semidirect
156. #17989168C22semidirect
157. #17989167C22semidirect
158. #17989167C22semidirect
159. #17989167C22semidirect
160. #17989165C22semidirect
161. #17989164C22semidirect
162. #17989164C22semidirect
163. #17989156C22semidirect
164. #17989156C22semidirect
165. #17989155C22semidirect
166. #17989155C22semidirect
167. #17989153C22semidirect
168. #17989153C22semidirect
169. #17989152C22semidirect
170. #17989149C22semidirect
171. #17989149C22semidirect
172. #17989149C22semidirect
173. #17989149C22semidirect
174. #17989148C22semidirect
175. #17989148C22semidirect
176. #17989148C22semidirect
177. #17989146C22semidirect
178. #17989145C22semidirect
179. #17989145C22semidirect
180. #17989145C22semidirect
181. #17989137C22semidirect
182. #17989132C22semidirect
183. #17989132C22semidirect
184. #17989123C22semidirect
185. #17989117C22semidirect
186. #17989100C22semidirect
187. #17989100C22semidirect
188. #17989100C22semidirect
189. #17989100C22semidirect
190. #17989100C22semidirect
191. #17989100C22semidirect
192. #17989100C22semidirect
193. #17989100C22semidirect
194. #17989100C22semidirect
195. #17989099C22semidirect
196. #17989096C22semidirect
197. #17989096C22semidirect
198. #17989096C22semidirect
199. #17989096C22semidirect
200. #17989096C22semidirect
201. #17989096C22semidirect
202. #17989096C22semidirect
203. #17989096C22semidirect
204. #17989096C22semidirect
205. #17989095C22semidirect
206. C2×#14556576C22semidirect
207. C2×#14556576C22semidirect
208. C2×#14556573C22semidirect
209. C2×#14556569C22semidirect
210. C2×#14556568C22semidirect
211. C2×#14556567C22semidirect
212. C2×#14556566C22semidirect
213. C2×#14556566C22semidirect
214. C2×#14556565C22semidirect
215. C2×#14556565C22semidirect
216. C2×#14556565C22semidirect
217. C2×#14556564C22semidirect
218. C2×#14556564C22semidirect
219. C2×#14556563C22semidirect
220. C2×#14556563C22semidirect
221. C2×#14556562C22semidirect
222. #121×D73C22semidirect
223. #121×D73C22semidirect
224. #121×D73C22semidirect
225. #121×D73C22semidirect
226. #121×D73C22semidirect
227. #121×D73C22semidirect
228. #121×D73C22semidirect
229. #121×D73C22semidirect
230. #121×D73C22semidirect
231. #121×D73C22semidirect
232. C2×#14556561C22semidirect
233. C2×#14556561C22semidirect
234. C2×#14556561C22semidirect
235. C2×#14556559C22semidirect
236. #120×D73C22semidirect
237. #17989069C22semidirect
238. #17989067C22semidirect
239. #17989061C22semidirect
240. #17989060C22semidirect
241. #17989059C22semidirect
242. #17989059C22semidirect
243. C2×C4×D292C22semidirect
244. C2×#14556553C22semidirect
245. C2×C4×C22⋊D73C22semidirect
246. C2×C4×C22⋊D73C22semidirect
247. C2×#14556551C22semidirect
248. C2×#14556549C22semidirect
249. C2×#14556548C22semidirect
250. C2×C4⋊C4×D73C22semidirect
251. C2×C22⋊C4×D73C22semidirect
252. #553×C73C22semidirect
253. #553×C73C22semidirect
254. #552×C73C22semidirect
255. #551×C73C22semidirect
256. #548×C73C22semidirect
257. #546×C73C22semidirect
258. #539×C73C22semidirect
259. #538×C73C22semidirect
260. #534×C73C22semidirect
261. #529×C73C22semidirect
262. #525×C73C22semidirect
263. C2×C22⋊Q8×C73C22semidirect
264. C2×#121×C73C22semidirect
265. #518×C73C22semidirect
266. C2×C4×D4×C73C22semidirect
275. C2×#11924029C23semidirect
276. C2×#11924029C23semidirect
277. C2×#11924029C23semidirect
282. C2×#11924028C23semidirect
283. C2×#11924028C23semidirect
284. C2×#11924028C23semidirect
285. C2×#11924028C23semidirect
287. C2×#11924027C23semidirect
288. C2×#11924027C23semidirect
289. C2×#11924027C23semidirect
290. C22×Dic146C23semidirect
299. C22×D292C23semidirect
300. C22×D292C23semidirect
309. C22×C22⋊D73C23semidirect
310. C22×C22⋊D73C23semidirect
324. C2×D4×D73C23semidirect
325. C2×D4×D73C23semidirect
326. C2×D4×D73C23semidirect
327. C2×D4×D73C23semidirect
328. C2×D4×D73C23semidirect
344. C22×C4×D73C23semidirect
345. C22×C4×D73C23semidirect
346. #14556591C23semidirect
347. #14556590C23semidirect
348. #14556590C23semidirect
349. #14556588C23semidirect
350. #14556588C23semidirect
351. #14556588C23semidirect
352. #14556587C23semidirect
353. #14556587C23semidirect
354. #14556587C23semidirect
355. #14556587C23semidirect
356. #14556586C23semidirect
357. #14556586C23semidirect
358. #14556586C23semidirect
359. #14556586C23semidirect
360. #14556586C23semidirect
361. #14556585C23semidirect
362. #14556585C23semidirect
363. #14556584C23semidirect
364. #14556584C23semidirect
365. #14556583C23semidirect
366. #14556582C23semidirect
367. #14556582C23semidirect
368. #14556581C23semidirect
369. #14556581C23semidirect
370. #14556580C23semidirect
371. #14556580C23semidirect
372. #14556579C23semidirect
373. #14556579C23semidirect
374. #14556579C23semidirect
375. #14556579C23semidirect
376. #14556577C23semidirect
377. #14556577C23semidirect
378. #14556577C23semidirect
379. #14556577C23semidirect
380. #14556577C23semidirect
381. #14556577C23semidirect
382. #14556577C23semidirect
387. #14556576C23semidirect
388. #14556576C23semidirect
389. #14556576C23semidirect
390. #14556576C23semidirect
391. #14556576C23semidirect
392. #14556576C23semidirect
393. #14556576C23semidirect
394. #14556576C23semidirect
395. #14556576C23semidirect
396. #14556576C23semidirect
397. #14556576C23semidirect
398. #14556576C23semidirect
399. #14556576C23semidirect
400. #14556576C23semidirect
403. #14556575C23semidirect
404. #14556575C23semidirect
405. #14556575C23semidirect
406. #14556575C23semidirect
407. #14556575C23semidirect
408. #14556575C23semidirect
410. #14556574C23semidirect
411. #14556574C23semidirect
414. #14556573C23semidirect
415. #14556573C23semidirect
416. #14556573C23semidirect
417. #14556573C23semidirect
418. #14556573C23semidirect
419. #14556573C23semidirect
420. #14556573C23semidirect
421. #14556572C23semidirect
424. #14556571C23semidirect
425. #14556571C23semidirect
426. #14556570C23semidirect
431. #14556569C23semidirect
432. #14556569C23semidirect
433. #14556569C23semidirect
434. #14556569C23semidirect
435. #14556569C23semidirect
436. #14556569C23semidirect
437. #14556569C23semidirect
440. #14556568C23semidirect
441. #14556568C23semidirect
442. #14556568C23semidirect
443. #14556568C23semidirect
444. #14556568C23semidirect
447. #14556567C23semidirect
448. #14556567C23semidirect
449. #14556567C23semidirect
450. #14556567C23semidirect
459. #14556566C23semidirect
460. #14556566C23semidirect
461. #14556566C23semidirect
462. #14556566C23semidirect
463. #14556566C23semidirect
464. #14556566C23semidirect
465. #14556566C23semidirect
466. #14556566C23semidirect
467. #14556566C23semidirect
468. #14556566C23semidirect
469. #14556566C23semidirect
470. #14556566C23semidirect
471. #14556566C23semidirect
472. #14556566C23semidirect
479. #14556565C23semidirect
480. #14556565C23semidirect
481. #14556565C23semidirect
482. #14556565C23semidirect
483. #14556565C23semidirect
484. #14556565C23semidirect
485. #14556565C23semidirect
486. #14556565C23semidirect
487. #14556565C23semidirect
488. #14556565C23semidirect
489. #14556565C23semidirect
490. #14556565C23semidirect
491. #14556565C23semidirect
492. #14556565C23semidirect
501. #14556564C23semidirect
502. #14556564C23semidirect
503. #14556564C23semidirect
504. #14556564C23semidirect
505. #14556564C23semidirect
506. #14556564C23semidirect
507. #14556564C23semidirect
508. #14556564C23semidirect
509. #14556564C23semidirect
510. #14556564C23semidirect
511. #14556564C23semidirect
512. #14556564C23semidirect
513. #14556564C23semidirect
514. #14556564C23semidirect
521. #14556563C23semidirect
522. #14556563C23semidirect
523. #14556563C23semidirect
524. #14556563C23semidirect
525. #14556563C23semidirect
526. #14556563C23semidirect
527. #14556563C23semidirect
528. #14556563C23semidirect
529. #14556563C23semidirect
534. #14556562C23semidirect
535. #14556562C23semidirect
552. #14556561C23semidirect
553. #14556561C23semidirect
554. #14556561C23semidirect
555. #14556561C23semidirect
556. #14556561C23semidirect
557. #14556561C23semidirect
558. #14556561C23semidirect
559. #14556561C23semidirect
560. #14556561C23semidirect
561. #14556561C23semidirect
562. #14556561C23semidirect
570. #14556559C23semidirect
571. #14556559C23semidirect
572. #14556559C23semidirect
573. #14556559C23semidirect
574. Q8×Dic73C23semidirect
575. C4×Dic146C23semidirect
582. C4×D292C23semidirect
583. C4×D292C23semidirect
584. C4×D292C23semidirect
585. C4×D292C23semidirect
586. C4×D292C23semidirect
587. C4×D292C23semidirect
588. D4×Dic73C23semidirect
589. D4×Dic73C23semidirect
594. #14556553C23semidirect
595. #14556553C23semidirect
596. #14556553C23semidirect
597. #14556553C23semidirect
598. #14556553C23semidirect
599. #14556553C23semidirect
604. C4×C22⋊D73C23semidirect
605. C4×C22⋊D73C23semidirect
606. C4×C22⋊D73C23semidirect
607. C4×C22⋊D73C23semidirect
608. C4×C22⋊D73C23semidirect
609. C4×C22⋊D73C23semidirect
610. C4×C22⋊D73C23semidirect
611. C4×C22⋊D73C23semidirect
616. #14556551C23semidirect
617. #14556551C23semidirect
618. #14556551C23semidirect
619. #14556551C23semidirect
620. #14556551C23semidirect
621. #14556551C23semidirect
622. #14556551C23semidirect
623. #14556550C23semidirect
626. #14556549C23semidirect
627. #14556549C23semidirect
628. #14556549C23semidirect
629. #14556549C23semidirect
632. #14556548C23semidirect
633. #14556548C23semidirect
634. #14556548C23semidirect
635. #14556548C23semidirect
638. C2×C4⋊Dic73C23semidirect
639. C2×C4⋊Dic73C23semidirect
640. C2×C4⋊Dic73C23semidirect
642. C2×#11924007C23semidirect
643. C2×#11924007C23semidirect
644. C2×#11924007C23semidirect
645. C2×#11924007C23semidirect
646. C2×#11924007C23semidirect
651. C4⋊C4×D73C23semidirect
652. C4⋊C4×D73C23semidirect
655. C2×C22⋊Dic73C23semidirect
666. C2×#11924005C23semidirect
667. C2×#11924005C23semidirect
668. C2×#11924005C23semidirect
669. C2×#11924005C23semidirect
670. C2×#11924005C23semidirect
678. C22⋊C4×D73C23semidirect
679. C22⋊C4×D73C23semidirect
680. C22⋊C4×D73C23semidirect
681. C2×C4×Dic73C23semidirect
682. C2×C4×Dic73C23semidirect
683. C2×#41×C73C23semidirect
684. C22×Q8×C73C23semidirect
689. C23×C4×C73C23semidirect
690. #126×C73C23semidirect
691. #126×C73C23semidirect
692. #126×C73C23semidirect
693. #125×C73C23semidirect
694. #125×C73C23semidirect
695. #124×C73C23semidirect
696. #124×C73C23semidirect
698. #123×C73C23semidirect
699. #123×C73C23semidirect
700. #123×C73C23semidirect
701. #123×C73C23semidirect
704. C22⋊Q8×C73C23semidirect
705. C22⋊Q8×C73C23semidirect
706. C22⋊Q8×C73C23semidirect
707. C22⋊Q8×C73C23semidirect
712. #121×C73C23semidirect
713. #121×C73C23semidirect
714. #121×C73C23semidirect
715. #121×C73C23semidirect
717. #120×C73C23semidirect
718. C4×Q8×C73C23semidirect
721. C4×D4×C73C23semidirect
722. C4×D4×C73C23semidirect
723. C4×D4×C73C23semidirect
724. C4×D4×C73C23semidirect
725. C4×D4×C73C23semidirect
726. C4×D4×C73C23semidirect
727. C4×D4×C73C23semidirect
728. C4×D4×C73C23semidirect
730. #117×C73C23semidirect
731. #117×C73C23semidirect
733. C2×C4⋊C4×C73C23semidirect
734. C2×C4⋊C4×C73C23semidirect
735. C2×C4⋊C4×C73C23semidirect
740. C2×C22⋊C4×C73C23semidirect
741. C2×C42×C73C23semidirect
1067. C23×C73H(5,𝔽2)semidirect
1248. C4×D73H(5,𝔽2)semidirect
1356. #3505D73semidirect
1372. C73#62818semidirect
1406. #553C2×D73semidirect
1407. #553C2×D73semidirect
1410. #552C2×D73semidirect
1418. #551C2×D73semidirect
1424. #548C2×D73semidirect
1459. #546C2×D73semidirect
1493. #539C2×D73semidirect
1504. #538C2×D73semidirect
1530. #534C2×D73semidirect
1536. #529C2×D73semidirect
1557. #525C2×D73semidirect
1564. C2×C22⋊Q8C2×D73semidirect
1585. C2×#121C2×D73semidirect
1597. #518C2×D73semidirect
1603. C2×C4×D4C2×D73semidirect
1631. C2×#41C22×D73semidirect
1633. C22×Q8C22×D73semidirect
1693. C23×C4C22×D73semidirect
1713. #126C22×D73semidirect
1714. #126C22×D73semidirect
1715. #126C22×D73semidirect
1721. #125C22×D73semidirect
1722. #125C22×D73semidirect
1736. #124C22×D73semidirect
1737. #124C22×D73semidirect
1778. #123C22×D73semidirect
1779. #123C22×D73semidirect
1780. #123C22×D73semidirect
1781. #123C22×D73semidirect
1813. C22⋊Q8C22×D73semidirect
1814. C22⋊Q8C22×D73semidirect
1815. C22⋊Q8C22×D73semidirect
1816. C22⋊Q8C22×D73semidirect
1906. #121C22×D73semidirect
1907. #121C22×D73semidirect
1908. #121C22×D73semidirect
1909. #121C22×D73semidirect
1949. #120C22×D73semidirect
1952. C4×Q8C22×D73semidirect
2002. C4×D4C22×D73semidirect
2003. C4×D4C22×D73semidirect
2004. C4×D4C22×D73semidirect
2005. C4×D4C22×D73semidirect
2006. C4×D4C22×D73semidirect
2007. C4×D4C22×D73semidirect
2008. C4×D4C22×D73semidirect
2009. C4×D4C22×D73semidirect
2025. #117C22×D73semidirect
2026. #117C22×D73semidirect
2044. C2×C4⋊C4C22×D73semidirect
2045. C2×C4⋊C4C22×D73semidirect
2046. C2×C4⋊C4C22×D73semidirect
2079. C2×C22⋊C4C22×D73semidirect
2082. C2×C42C22×D73semidirect
2456. C23#14556637semidirect

Maximal subgroups

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

subgroupindex
#226242412
#226242402
#226242332
#226241672
#226241632
#226241552
#226241472
#226241262
#226241222
#226241082
#226239652
#226239592
#226239512
#226237722
#226237612
#226236952
#226236922
#226236882
#226236622
#226236542
#226236312
#226236152
#226235972
#226235922
#226235672
#226235632
#226235612
C2×#179891002
C2×#179890962
C2×#121×D732
C73×#35052
#6281873