Finite Group Databasebeta

← #33968020

Subgroups — #33968020

Order 18688.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623543C211yesmaximal, characteristic, complemented
2#22623496C211yesmaximal, characteristic, complemented
3#22623011C211yesmaximal, characteristic, complemented
4#22622871C211yesmaximal, characteristic, complemented
5#22622780C211yesmaximal, characteristic, complemented
6#22622761C211yesmaximal, characteristic, complemented
7#22622447C211yesmaximal, characteristic, complemented
8#22622295C211yesmaximal, characteristic, complemented
9#22622120C211yesmaximal, characteristic, complemented
10#22622030C211yesmaximal, characteristic, complemented
11#22621976C211yesmaximal, characteristic, complemented
12#22621886C211yesmaximal, characteristic, complemented
13#22621816C211yesmaximal, characteristic, complemented
14#22621764C211yesmaximal, characteristic, complemented
15#22621635C211yesmaximal, characteristic, complemented
16#22621493C211yesmaximal, characteristic, complemented
17#22621446C211yesmaximal, characteristic, complemented
18#22620653C211yesmaximal, characteristic, complemented
19#22620642C211yesmaximal, characteristic, complemented
20#22620633C211yesmaximal, characteristic, complemented
21#22620105C211yesmaximal, characteristic, complemented
22#22620096C211yesmaximal, characteristic, complemented
23#22620066C211yesmaximal, characteristic, complemented
24#22620058C211yesmaximal, characteristic, complemented
25#22620045C211yesmaximal, characteristic, complemented
26#22620035C211yesmaximal, characteristic, complemented
27#22618941C211yesmaximal, characteristic, complemented
28#22618749C211yesmaximal, characteristic, complemented
29#22618726C211yesmaximal, characteristic, complemented
30C2×#17988686C211yesmaximal, characteristic, complemented
31C73×#3343C211yesmaximal, characteristic, complemented
32C2×#14556624C2211yescharacteristic
33C2×#14556612C2211yescharacteristic
34C22×#11924017C2211yescharacteristic
35#17989312C2211yescharacteristic, complemented
36#17989309C2211yescharacteristic
37#17989308—21no—
38#17989307C2211yescharacteristic, complemented
39#17989300C2211yescharacteristic
40#17989293C2211yescharacteristic
41#17989288—21no—
42#17989274—21no—
43#17989274—21no—
44#17989272C2211yescharacteristic
45#17989272C2211yescharacteristic
46#17989272C2211yescharacteristic, complemented
47#17989269—21no—
48#17989261—21no—
49#17989260—21no—
50D4×Dic146C2211yescharacteristic
51#17989243C2211yescharacteristic
52#17989243C2211yescharacteristic, complemented
53#17989239C2211yescharacteristic
54#17989236—21no—
55#17989233C2211yescharacteristic
56#17989228C2211yescharacteristic
57#17989142C2211yescharacteristic, complemented
58#17989139—21no—
59#17989139C2211yescharacteristic
60#17989123C2211yescharacteristic
61#17989122—21no—
62#17989122C2211yescharacteristic
63#17989120—21no—
64#17989118C2211yescharacteristic
65#17989118C2211yescharacteristic, complemented
66#17989114—21no—
67#17989114—21no—
68#17989095—21no—
69#41×Dic73—21no—
70C4×#11924029C2211yescharacteristic
71#17989055C2211yescharacteristic
72C4×#11924027C2211yescharacteristic
73C4×#11924027C2211yescharacteristic, complemented
74C2×#14556556C2211yescharacteristic
75C2×#14556556C2211yescharacteristic, complemented
76C2×#14556553C2211yescharacteristic
77#117×D73—21no—
78#17988994C2211yescharacteristic, complemented
79#17988988C2211yescharacteristic, complemented
80#17988981C2211yescharacteristic
81#17988978C2211yescharacteristic, complemented
82#17988968C2211yescharacteristic
83#17988957C2211yescharacteristic, complemented
84#17988954C2211yescharacteristic, complemented
85#17988949C2211yescharacteristic
86#17988945C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic
88#17988940C2211yescharacteristic, complemented
89#17988930C2211yescharacteristic, complemented
90#17988930C2211yescharacteristic, complemented
91#17988930C2211yescharacteristic, complemented
92#17988928C2211yescharacteristic, complemented
93#17988917C2211yescharacteristic
94#17988917C2211yescharacteristic
95#17988913C2211yescharacteristic
96#17988905C2211yescharacteristic
97#17988893C2211yescharacteristic, complemented
98#17988893C2211yescharacteristic, complemented
99#17988893C2211yescharacteristic, complemented
100#17988891C2211yescharacteristic, complemented
101#17988890C2211yescharacteristic
102#17988890C2211yescharacteristic
103#17988886C2211yescharacteristic
104#17988874C2211yescharacteristic
105#17988871C2211yescharacteristic, complemented
106#17988871C2211yescharacteristic, complemented
107#17988843C2211yescharacteristic, complemented
108#17988838C2211yescharacteristic
109#17988833C2211yescharacteristic
110#17988829C2211yescharacteristic, complemented
111#17988829C2211yescharacteristic, complemented
112#17988828C2211yescharacteristic
113#17988826C2211yescharacteristic
114#17988817C2211yescharacteristic
115#17988817C2211yescharacteristic
116#17988814C2211yescharacteristic
117#17988812C2211yescharacteristic
118#17988812C2211yescharacteristic
119#17988810C2211yescharacteristic
120#17988808C2211yescharacteristic, complemented
121#17988802C2211yescharacteristic
122#17988801C2211yescharacteristic
123#17988801C2211yescharacteristic
124#17988801C2211yescharacteristic
125#17988797C2211yescharacteristic, complemented
126#17988796C2211yescharacteristic, complemented
127#17988796C2211yescharacteristic, complemented
128#17988793C2211yescharacteristic
129#17988752C2211yescharacteristic
130#17988752C2211yescharacteristic
131#17988751C2211yescharacteristic
132#17988750C2211yescharacteristic, complemented
133#17988745C2211yescharacteristic
134#17988742C2211yescharacteristic
135#17988742C2211yescharacteristic, complemented
136#17988740C2211yescharacteristic
137#17988733C2211yescharacteristic
138#17988730C2211yescharacteristic
139#17988728C2211yescharacteristic
140#17988720C2211yescharacteristic
141#17988716C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988697C2211yescharacteristic
144#17988696C2211yescharacteristic
145#17988696C2211yescharacteristic
146#17988693C2211yescharacteristic, complemented
147#17988693C2211yescharacteristic, complemented
148#17988693C2211yescharacteristic, complemented
149#17988692C2211yescharacteristic, complemented
150#17988691C2211yescharacteristic, complemented
151#17988691C2211yescharacteristic, complemented
152#17988691C2211yescharacteristic, complemented
153#17988689C2211yescharacteristic
154#17988688C2211yescharacteristic, complemented
155#17988686C2211yescharacteristic
156#17988686C2211yescharacteristic
157#17988686C2211yescharacteristic
158#17988686C2211yescharacteristic
159#17988686C2211yescharacteristic
160#17988686C2211yescharacteristic
161#17988686C2211yescharacteristic
162#17988686C2211yescharacteristic
163#17988686C2211yescharacteristic
164#17988686C2211yescharacteristic
165#17988684C2211yescharacteristic, complemented
166#17988681C2211yescharacteristic, complemented
167#17988681C2211yescharacteristic, complemented
168#17988674C2211yescharacteristic
169#17988674C2211yescharacteristic
170#17988661C2211yescharacteristic, complemented
171#17988659C2211yescharacteristic
172#17988656C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic
174#17988650C2211yescharacteristic
175#17988643C2211yescharacteristic, complemented
176#17988641C2211yescharacteristic
177#17988641C2211yescharacteristic, complemented
178#17988624C2211yescharacteristic, complemented
179#17988595C2211yescharacteristic, complemented
180#17988586C2211yescharacteristic
181#17988582C2211yescharacteristic
182#17988580C2211yescharacteristic, complemented
183C2×#14556514C2211yescharacteristic
184C2×#14556511C2211yescharacteristic
185M16×Dic73C2211yescharacteristic, complemented
186C2×#14556501C2211yescharacteristic
187#97×D73C2211yescharacteristic, complemented
188#552×C73C2211yescharacteristic
189#547×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#483×C73C2211yescharacteristic
193#482×C73C2211yescharacteristic, complemented
194#480×C73C2211yescharacteristic
195#478×C73C2211yescharacteristic, complemented
196#477×C73C2211yescharacteristic, complemented
197#468×C73C2211yescharacteristic, complemented
198#465×C73C2211yescharacteristic
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic
201#428×C73C2211yescharacteristic, complemented
202C2×#107×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924027D411yescharacteristic
206C2×#11924027C2311yescharacteristic
207C22×Dic146C2311yescharacteristic
208C22×Dic146C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C22×C4×D73—21no—
211#14556624—24no—
212#14556612—24no—
213C2×Dic292C2311yescharacteristic
214C2×Dic292C2311yescharacteristic
215C2×Dic292C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924018C2311yescharacteristic
218C2×#11924018C2311yescharacteristic
219C2×#11924017—24no—
220C2×#11924017C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924012C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C2×C8×D73C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233#14556591C2311yescharacteristic
234#14556590—21no—
235#14556590C2311yescharacteristic
236#14556589—21no—
237#14556589C2311yescharacteristic
238#14556586—21no—
239#14556586—21no—
240#14556586—21no—
241#14556586—21no—
242#14556586—21no—
243#14556586—21no—
244#14556585—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556584—21no—
249#14556582—21no—
250#14556582C2311yescharacteristic
251#14556582C2311yescharacteristic
252#14556582C2311yescharacteristic
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556580C2311yescharacteristic
260#14556579—21no—
261#14556579C2311yescharacteristic
262#14556578C2311yescharacteristic
263#14556578C2311yescharacteristic
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556575—21no—
272#14556574—21no—
273#14556574—21no—
274#14556574—21no—
275#14556573—21no—
276#14556572—21no—
277#14556572—21no—
278#14556571—21no—
279#14556571C2311yescharacteristic
280#14556571C2311yescharacteristic
281#14556571C2311yescharacteristic
282#14556570—21no—
283#14556570C2311yescharacteristic
284#14556570C2311yescharacteristic
285#14556570C2311yescharacteristic
286#14556569—21no—
287#14556569—21no—
288#14556569—21no—
289#14556568—21no—
290#14556568—21no—
291#14556568—21no—
292#14556568—21no—
293#14556568—21no—
294#14556567—21no—
295#14556566—21no—
296#14556566C2311yescharacteristic
297#14556565C2311yescharacteristic
298#14556564—21no—
299#14556564—21no—
300#14556564—21no—
301#14556563—21no—
302#14556563—21no—
303#14556561—21no—
304#14556559—21no—
305Q8×Dic73—21no—
306Q8×Dic73—21no—
307Q8×Dic73C2311yescharacteristic
308C4×Dic146C2311yescharacteristic
309C4×Dic146C2311yescharacteristic
310#14556556—21no—
311#14556556—21no—
312#14556556—21no—
313#14556556—21no—
314#14556556—21no—
315#14556556D411yescharacteristic
316#14556556C2311yescharacteristic
317#14556556C2311yescharacteristic
318#14556556C2311yescharacteristic
319#14556556C2311yescharacteristic
320#14556556C2311yescharacteristic
321#14556556C2311yescharacteristic
322#14556556C2311yescharacteristic
323#14556556C2311yescharacteristic
324#14556556C2311yescharacteristic
325C4×D292—21no—
326C4×D292C2311yescharacteristic
327D4×Dic73—21no—
328D4×Dic73—21no—
329D4×Dic73—21no—
330D4×Dic73—21no—
331D4×Dic73—21no—
332D4×Dic73D411yescharacteristic
333D4×Dic73C2311yescharacteristic
334#14556553—21no—
335#14556553—21no—
336#14556553—21no—
337#14556553—21no—
338#14556553C2311yescharacteristic
339#14556553C2311yescharacteristic
340#14556553C2311yescharacteristic
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343C4×C22⋊D73—21no—
344C4×C22⋊D73C2311yescharacteristic
345C4×C22⋊D73C2311yescharacteristic
346#14556551—21no—
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556551D411yescharacteristic
351#14556551D411yescharacteristic
352#14556550—21no—
353#14556550—21no—
354#14556550—21no—
355#14556550—21no—
356#14556549—21no—
357#14556549—21no—
358#14556549—21no—
359#14556549—21no—
360#14556549D411yescharacteristic
361#14556549C2311yescharacteristic
362#14556549C2311yescharacteristic
363#14556548—21no—
364#14556548—21no—
365#14556548—21no—
366#14556547—21no—
367#14556547—21no—
368#14556547—21no—
369#14556547—21no—
370#14556547D411yescharacteristic
371#14556547D411yescharacteristic
372C2×#11924007—21no—
373C2×#11924007—21no—
374C4⋊C4×D73—21no—
375C4⋊C4×D73—21no—
376C2×#11924005—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C2×C4×Dic73—21no—
380C2×C4×Dic73—21no—
381C2×C4×Dic73—21no—
382C2×C4×Dic73C2311yescharacteristic
383C2×C4×Dic73C2311yescharacteristic
384C42×D73—21no—
385C42×D73—21no—
386C42×D73C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C2×#41×C73—21no—
439C2×SD16×C73C2311yescharacteristic
440C2×M16×C73C2311yescharacteristic
441C22×C8×C73C2311yescharacteristic
442C4⋊Q8×C73C2311yescharacteristic
443#126×C73—21no—
444#125×C73—21no—
445#125×C73C2311yescharacteristic
446#123×C73—21no—
447#123×C73—21no—
448#123×C73—21no—
449C22⋊Q8×C73—21no—
450C22⋊Q8×C73C2311yescharacteristic
451C22⋊Q8×C73C2311yescharacteristic
452#121×C73C2311yescharacteristic
453#121×C73C2311yescharacteristic
454C4×Q8×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457#117×C73—21no—
458#117×C73C2311yescharacteristic
459C2×C4⋊C4×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482#11924029—22no—
483#11924029—41no—
484#11924028—22no—
485#11924028—41no—
486#11924027—22no—
487#11924027—41no—
488#11924027—42no—
489C2×Dic146—22no—
490C2×Dic146—22no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—41no—
495C2×Dic146—41no—
496C2×Dic146C2×D411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×Dic146C2411yescharacteristic
499C2×Dic146C2411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×D292—22no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—41no—
506C2×D292C2411yescharacteristic
507C2×D292C2411yescharacteristic
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73C2×D411yescharacteristic
512C2×C22⋊D73C2×D411yescharacteristic
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C22×Dic73C2×D411yescharacteristic
518C22×Dic73C2×D411yescharacteristic
519C22×Dic73C2×D411yescharacteristic
520C22×Dic73C2×D411yescharacteristic
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—44no—
530C2×C4×D73C2×D411yescharacteristic
531C2×C4×D73C2×D411yescharacteristic
532C2×C4×D73C2411yescharacteristic
533Dic292—22no—
534Dic292—22no—
535Dic292—41no—
536#11924018—22no—
537#11924018—41no—
538#11924018—41no—
539#11924017—22no—
540#11924017—22no—
541#11924017—22no—
542#11924017—22no—
543#11924017—41no—
544#11924017#4114yescomplemented
545#11924016—41no—
546#11924013—22no—
547#11924013—41no—
548#11924012—41no—
549C2×#10596831—41no—
550C2×#10596831C2411yescharacteristic
551C2×#10596831C2411yescharacteristic
552C2×#10596831C2411yescharacteristic
553C2×#10596831C2411yescharacteristic
554C8×D73—22no—
555C8×D73—41no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73C2×D411yescharacteristic
566C4⋊Dic73C2411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73C2×D411yescharacteristic
600C22⋊Dic73C2×D411yescharacteristic
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005C2×D411yescharacteristic
619#11924005C2×D411yescharacteristic
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73C2×D411yescharacteristic
634C4×Dic73C2×D411yescharacteristic
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2411yescharacteristic
640C4×Dic73C2411yescharacteristic
641C4×Dic73C2411yescharacteristic
642#41×C73—44no—
643C2×Q8×C73—21no—
644C2×Q8×C73C2411yescharacteristic
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73C2×D411yescharacteristic
648C2×D4×C73C2411yescharacteristic
649C22×C4×C73—21no—
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73C2411yescharacteristic
654C22×C4×C73C2411yescharacteristic
655SD16×C73—22no—
656M16×C73—22no—
657C2×C8×C73—22no—
658C2×C8×C73C2411yescharacteristic
659C2×C8×C73C2411yescharacteristic
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C4⋊C4×C73—21no—
663C4⋊C4×C73—21no—
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73C2×D411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73C2×D411yescharacteristic
685C22⋊C4×C73C2×D411yescharacteristic
686C42×C73—21no—
687C42×C73—21no—
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73C22×D411yescharacteristic
691C23×C73C22×D411yescharacteristic
692C22×D73—21no—
693C22×D73—21no—
694C22×D73—42no—
695C22×D73—42no—
696C22×D73—81no—
697C22×D73C22×D411yescharacteristic
698Q8×C73—21no—
699Q8×C73—21no—
700Q8×C73—42no—
701D4×C73—22no—
702D4×C73—21no—
703D4×C73—21no—
704D4×C73—42no—
705D4×C73—42no—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—21no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—42no—
718C2×C4×C73—42no—
719C2×C4×C73—42no—
720C2×C4×C73—42no—
721C2×C4×C73C22×D411yescharacteristic
722C2×C4×C73C22×D411yescharacteristic
723C2×C4×C73C22×D411yescharacteristic
724C2×C4×C73C22×D411yescharacteristic
725C2×C4×C73C2511yescharacteristic
726C22⋊D73—22no—
727C22⋊D73—41no—
728C22⋊D73—42no—
729C22⋊D73—42no—
730C22⋊D73—81no—
731C2×Dic73—22no—
732C2×Dic73—21no—
733C2×Dic73—21no—
734C2×Dic73—21no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—21no—
738C2×Dic73—41no—
739C2×Dic73—41no—
740C2×Dic73—41no—
741C2×Dic73—42no—
742C2×Dic73—42no—
743C2×Dic73—42no—
744C2×Dic73—42no—
745C2×Dic73C22×D411yescharacteristic
746C2×Dic73C22×D411yescharacteristic
747C2×Dic73C22×D411yescharacteristic
748C2×Dic73C22×D411yescharacteristic
749C2×Dic73C22×D411yescharacteristic
750C2×Dic73C22×D411yescharacteristic
751C2×Dic73C22×D411yescharacteristic
752D292—21no—
753D292—21no—
754D292—21no—
755D292—42no—
756D292—42no—
757D292—81no—
758D292C2×#4112yes—
759C4×D73—21no—
760C4×D73—21no—
761C4×D73—41no—
762C4×D73—41no—
763C4×D73—42no—
764C4×D73—42no—
765C4×D73—42no—
766C4×D73—42no—
767C4×D73—42no—
768C4×D73—42no—
769C4×D73—81no—
770C4×D73—81no—
771Dic146—21no—
772Dic146—21no—
773Dic146—21no—
774Dic146—21no—
775Dic146—21no—
776Dic146—21no—
777Dic146—21no—
778Dic146—41no—
779Dic146—42no—
780Dic146—42no—
781Dic146—81no—
782Dic146C2×#4112yes—
783C8×C73—21no—
784C8×C73—21no—
785C8×C73—21no—
786C8×C73C2×#4112yes—
787#10596831—21no—
788#10596831—21no—
789#10596831—21no—
790#10596831—21no—
791C22×C73—21no—
792C22×C73—21no—
793C22×C73—21no—
794C22×C73—21no—
795C22×C73—21no—
796C22×C73—41no—
797C22×C73—41no—
798C22×C73—41no—
799C22×C73#57512yes—
800C22×C73C23×D411yescharacteristic
801C2×D73—21no—
802C2×D73—21no—
803C2×D73—22no—
804C2×D73—21no—
805C2×D73—41no—
806C2×D73—41no—
807C2×D73—41no—
808C2×D73—41no—
809C2×D73—41no—
810C2×D73—84no—
811C4×C73—21no—
812C4×C73—21no—
813C4×C73—21no—
814C4×C73—21no—
815C4×C73—41no—
816C4×C73—41no—
817C4×C73—41no—
818C4×C73—41no—
819C4×C73—41no—
820C4×C73—41no—
821C4×C73—41no—
822C4×C73C22×#4111yescharacteristic
823C4×C73#58511yescharacteristic
824Dic73—21no—
825Dic73—21no—
826Dic73—21no—
827Dic73—22no—
828Dic73—21no—
829Dic73—21no—
830Dic73—21no—
831Dic73—21no—
832Dic73—41no—
833Dic73—41no—
834Dic73—41no—
835Dic73—41no—
836Dic73—41no—
837#61455—731nomaximal, Sylow
838C2×C73—22no—
839C2×C73—41no—
840C2×C73—81no—
841C2×C73D4×#4111yescharacteristic
842C2×C73C2×#57511yescharacteristic
843C2×C73#358611yescharacteristic
844D73—41no—
845D73—42no—
846D73—81no—
847#3482—731no—
848#3475—731no—
849#3402—731no—
850#3388—731no—
851#3377—731no—
852#3376—731no—
853#3348—731no—
854#3343D7311yescharacteristic, complemented
855#3336—731no—
856#3321—731no—
857#3315—731no—
858#3312—731no—
859#3306—731no—
860#3300—731no—
861#3296—731no—
862#3282—731no—
863#3269—731no—
864#3266—731no—
865#3183—731no—
866#3181—731no—
867#3181—731no—
868#3117—731no—
869#3116—731no—
870#3114—731no—
871#3113—731no—
872#3111—731no—
873#3111—731no—
874#2970—731no—
875C4×#137—731no—
876#2943—731no—
877C2×#440—731no—
878C73#6145511yescharacteristic, complemented, Sylow
879C2×#137—731no—
880C2×#135—731no—
881C22×SD16—731no—
882#557—731no—
883#556—731no—
884#556—731no—
885#556—1461no—
886#555—731no—
887#554—731no—
888#553—1461no—
889#552—731no—
890#552—731no—
891#552—731no—
892#552—1461no—
893#552—1461no—
894#552—1461no—
895#552C2×D7311yescharacteristic
896#551—1461no—
897#551—1461no—
898D4×Q8—731no—
899#548—731no—
900#548—731no—
901#547—731no—
902#547—1461no—
903#547C2×D7311yescharacteristic
904#546—731no—
905#546—731no—
906#533—731no—
907#533—731no—
908#533—1461no—
909#529—731no—
910#529—731no—
911#529—731no—
912#529—731no—
913#529—1461no—
914#529—1461no—
915#529—1461no—
916#529—1461no—
917#525—1461no—
918C4×#41—731no—
919C4×#41—731no—
920C4×#41—731no—
921C4×#41—731no—
922C4×#41—1461no—
923C2×C4×Q8—731no—
924C2×C4×Q8—731no—
925C2×C4×D4—731no—
926C2×#117—1461no—
927#501—731no—
928#501C2×D7311yescharacteristic, complemented
929#499—731no—
930#497—731no—
931#497—731no—
932#495—731no—
933#491—731no—
934#491—731no—
935#489—731no—
936#489—731no—
937#488—731no—
938#488—731no—
939#485—731no—
940#485—731no—
941#485—731no—
942#485—731no—
943#484C2×D7311yescharacteristic, complemented
944#483—731no—
945#483—731no—
946#483C2×D7311yescharacteristic
947#482—731no—
948#482C2×D7311yescharacteristic, complemented
949#481—731no—
950#480C2×D7311yescharacteristic
951#479—731no—
952#479—731no—
953#479—731no—
954#479—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478C2×D7311yescharacteristic, complemented
959#477C2×D7311yescharacteristic, complemented
960#476—731no—
961#475—731no—
962#475—731no—
963#470—731no—
964#469—731no—
965#468—731no—
966#468C2×D7311yescharacteristic, complemented
967#467—731no—
968#467—731no—
969#467—731no—
970#467—731no—
971#465—731no—
972#465—731no—
973#465—731no—
974#465C2×D7311yescharacteristic
975#464—731no—
976#464—731no—
977#464—731no—
978#464—731no—
979#463—731no—
980#463—731no—
981#463—731no—
982#463—731no—
983#462—731no—
984#462—731no—
985#462—731no—
986#461—731no—
987#452—731no—
988#452—731no—
989#452—731no—
990#452—731no—
991#451—731no—
992#451—731no—
993#451—731no—
994#450—731no—
995#449—731no—
996#449—731no—
997#448—731no—
998#447—731no—
999#446—731no—
1000#446—731no—
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#441—731no—
1005#441—731no—
1006#441—731no—
1007#441—731no—
1008#441—731no—
1009#441—731no—
1010#441—731no—
1011#440—731no—
1012#440—731no—
1013#440—731no—
1014#440—731no—
1015#440—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440—731no—
1024#440C2×D7311yescharacteristic, complemented
1025C4×Q16—731no—
1026C4×Q16—731no—
1027C4×SD16—731no—
1028C4×SD16—731no—
1029#435—731no—
1030#435—731no—
1031#435—731no—
1032#435C2×D7311yescharacteristic
1033C8×D4—731no—
1034C8×D4—731no—
1035#432—731no—
1036#432—731no—
1037#432—731no—
1038#428C2×D7311yescharacteristic, complemented
1039#427—731no—
1040C2×#107C2×D7311yescharacteristic
1041#419—731no—
1042#417—731no—
1043#416—731no—
1044#416—731no—
1045C2×#103—731no—
1046C2×#102—731no—
1047C4×M16—731no—
1048C2×#97—731no—
1049C2×#97—731no—
1050C2×#41—21no—
1051C2×#41—731no—
1052C2×#41—731no—
1053C2×#41—731no—
1054C2×#41—731no—
1055C22×Q8—731no—
1056C22×Q8—731no—
1057C22×D4—731no—
1058C23×C4—1461no—
1059#137—1464no—
1060#135—1464no—
1061C2×Q16—731no—
1062C2×Q16—731no—
1063C2×Q16—731no—
1064C2×Q16—731no—
1065C2×Q16—731no—
1066C2×Q16—731no—
1067C2×SD16—731no—
1068C2×SD16—731no—
1069C2×SD16—731no—
1070C2×SD16—731no—
1071C2×SD16—731no—
1072C2×SD16—731no—
1073C2×SD16—731no—
1074C2×SD16—1464no—
1075C2×SD16C22×D7311yescharacteristic
1076C2×D8—731no—
1077C2×D8—731no—
1078C2×M16—731no—
1079C2×M16C22×D7311yescharacteristic
1080C22×C8—731no—
1081C22×C8—731no—
1082C22×C8—731no—
1083C22×C8C22×D7311yescharacteristic
1084C4⋊Q8—731no—
1085C4⋊Q8—731no—
1086C4⋊Q8—731no—
1087C4⋊Q8—1461no—
1088C4⋊Q8—1461no—
1089C4⋊Q8C22×D7311yescharacteristic
1090#126—21no—
1091#126—1461no—
1092#126—1461no—
1093#126—1461no—
1094#126—1461no—
1095#126—1461no—
1096#126—1461no—
1097#126—1461no—
1098#126—1461no—
1099#126—1461no—
1100#126—1461no—
1101#126—1461no—
1102#125—21no—
1103#125—731no—
1104#125—731no—
1105#125—731no—
1106#125—1461no—
1107#125—1461no—
1108#125—1461no—
1109#125—1461no—
1110#125—1461no—
1111#125—1461no—
1112#125—1461no—
1113#125C22×D7311yescharacteristic
1114#124—731no—
1115#124—731no—
1116#124—731no—
1117#124—731no—
1118#124—1461no—
1119#124—1461no—
1120#124—1461no—
1121#124—1461no—
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128#123—1461no—
1129#123—1461no—
1130#123—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136C22⋊Q8—21no—
1137C22⋊Q8—731no—
1138C22⋊Q8—731no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—731no—
1142C22⋊Q8—731no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8C22×D7311yescharacteristic
1155C22⋊Q8C22×D7311yescharacteristic
1156#121—731no—
1157#121—731no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121C22×D7311yescharacteristic
1165#121C22×D7311yescharacteristic
1166#120—1461no—
1167#120—1461no—
1168C4×Q8—731no—
1169C4×Q8—731no—
1170C4×Q8—731no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—731no—
1177C4×Q8—731no—
1178C4×Q8—731no—
1179C4×Q8—731no—
1180C4×Q8—731no—
1181C4×Q8—1461no—
1182C4×Q8—1461no—
1183C4×Q8—1461no—
1184C4×Q8—1461no—
1185C4×Q8—1461no—
1186C4×Q8—1461no—
1187C4×Q8—1461no—
1188C4×Q8C22×D7311yescharacteristic
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4—1461no—
1213C4×D4—1461no—
1214C4×D4—1461no—
1215C4×D4—1461no—
1216C4×D4C22×D7311yescharacteristic
1217C4×D4C22×D7311yescharacteristic
1218#117—21no—
1219#117—731no—
1220#117—731no—
1221#117—731no—
1222#117—731no—
1223#117—731no—
1224#117—1461no—
1225#117—1461no—
1226#117—1461no—
1227#117—1461no—
1228#117—1461no—
1229#117—1461no—
1230#117—1461no—
1231#117—1461no—
1232#117—1461no—
1233#117—1461no—
1234#117—1461no—
1235#117—1461no—
1236#117—1461no—
1237#117—1461no—
1238#117—1461no—
1239#117C22×D7311yescharacteristic
1240C2×C4⋊C4—1461no—
1241C2×C4⋊C4—1461no—
1242C2×C4⋊C4—1461no—
1243C2×C4⋊C4—1461no—
1244C2×C4⋊C4C22×D7311yescharacteristic
1245C2×C4⋊C4C22×D7311yescharacteristic
1246C2×C4⋊C4C22×D7311yescharacteristic
1247C2×C22⋊C4—1461no—
1248C2×C22⋊C4—1461no—
1249C2×C22⋊C4—1461no—
1250C2×C42—731no—
1251C2×C42—731no—
1252C2×C42—731no—
1253C2×C42—1461no—
1254C2×C42—1461no—
1255C2×C42—1461no—
1256C2×C42—1461no—
1257C2×C42—1461no—
1258#107—731no—
1259#107—731no—
1260#107C22×D7311yescharacteristic
1261#107C22×D7311yescharacteristic
1262#107C22×D7311yescharacteristic
1263#107C22×D7311yescharacteristic
1264#107C22×D7311yescharacteristic
1265#107C22×D7311yescharacteristic
1266#106—731no—
1267#106—731no—
1268#106—731no—
1269#106—731no—
1270#106—731no—
1271#106C22×D7311yescharacteristic
1272#106C22×D7311yescharacteristic
1273#106C22×D7311yescharacteristic
1274C4⋊C8—731no—
1275C4⋊C8—731no—
1276C4⋊C8—731no—
1277C4⋊C8—731no—
1278C4⋊C8—731no—
1279C4⋊C8C22×D7311yescharacteristic
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103—731no—
1284#103—731no—
1285#103—731no—
1286#103—731no—
1287#103—731no—
1288#103—731no—
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103C22×D7311yescharacteristic
1298#103C22×D7311yescharacteristic
1299#103C22×D7311yescharacteristic
1300#102—731no—
1301#102—731no—
1302#102—731no—
1303#102—731no—
1304#102—731no—
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102C22×D7311yescharacteristic
1310#102C22×D7311yescharacteristic
1311#102C22×D7311yescharacteristic
1312C22⋊C8—731no—
1313C22⋊C8—731no—
1314C22⋊C8—731no—
1315C22⋊C8—731no—
1316C22⋊C8C22×D7311yescharacteristic
1317C22⋊C8C22×D7311yescharacteristic
1318#97—731no—
1319#97—731no—
1320#97—731no—
1321#97—731no—
1322#97—731no—
1323#97—731no—
1324#97—731no—
1325#97C22×D7311yescharacteristic
1326C4×C8—731no—
1327C4×C8—731no—
1328C24—1461no—
1329#41—44no—
1330#41—2921no—
1331#41—2921no—
1332#41—2922no—
1333#41—2921no—
1334#41—1462no—
1335#41—1462no—
1336#41—1462no—
1337C2×Q8—21no—
1338C2×Q8—2921no—
1339C2×Q8—2921no—
1340C2×Q8—731no—
1341C2×Q8—731no—
1342C2×Q8—731no—
1343C2×Q8—731no—
1344C2×Q8—731no—
1345C2×Q8—1462no—
1346C2×Q8—1462no—
1347C2×Q8—1461no—
1348C2×Q8—1461no—
1349C2×Q8—1461no—
1350C2×Q8C23×D7311yescharacteristic
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—2921no—
1354C2×D4—731no—
1355C2×D4—731no—
1356C2×D4—731no—
1357C2×D4—731no—
1358C2×D4—1461no—
1359C2×D4—1462no—
1360C2×D4—1461no—
1361C2×D4—1461no—
1362C2×D4—1461no—
1363C2×D4—1461no—
1364C2×D4—1461no—
1365C2×D4D4×D7311yescharacteristic
1366C2×D4C23×D7311yescharacteristic
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—2924no—
1372C22×C4—731no—
1373C22×C4—731no—
1374C22×C4—731no—
1375C22×C4—731no—
1376C22×C4—731no—
1377C22×C4—731no—
1378C22×C4—731no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4—1461no—
1384C22×C4—1461no—
1385C22×C4—1461no—
1386C22×C4—1461no—
1387C22×C4—1461no—
1388C22×C4—1461no—
1389C22×C4—1461no—
1390C22×C4—1461no—
1391C22×C4C23×D7311yescharacteristic
1392C22×C4C23×D7311yescharacteristic
1393Q16—2921no—
1394Q16—2921no—
1395Q16—2921no—
1396Q16—1462no—
1397Q16—1462no—
1398Q16—1462no—
1399SD16—22no—
1400SD16—2921no—
1401SD16—2921no—
1402SD16—734no—
1403SD16—1462no—
1404SD16—1462no—
1405SD16—1462no—
1406SD16—1462no—
1407D8—2921no—
1408D8—1462no—
1409M16—22no—
1410M16—2921no—
1411C2×C8—22no—
1412C2×C8—2921no—
1413C2×C8—2921no—
1414C2×C8—731no—
1415C2×C8—731no—
1416C2×C8—731no—
1417C2×C8—731no—
1418C2×C8—1462no—
1419C2×C8C23×D7311yescharacteristic
1420C2×C8C23×D7311yescharacteristic
1421C2×C8C23×D7311yescharacteristic
1422C2×C8C23×D7311yescharacteristic
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—731no—
1433C4⋊C4—731no—
1434C4⋊C4—731no—
1435C4⋊C4—731no—
1436C4⋊C4—731no—
1437C4⋊C4—731no—
1438C4⋊C4—731no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4D4×D7311yescharacteristic
1468C4⋊C4C23×D7311yescharacteristic
1469C4⋊C4C23×D7311yescharacteristic
1470C4⋊C4C23×D7311yescharacteristic
1471C4⋊C4C23×D7311yescharacteristic
1472C4⋊C4C23×D7311yescharacteristic
1473C4⋊C4C23×D7311yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—731no—
1481C22⋊C4—731no—
1482C22⋊C4—731no—
1483C22⋊C4—731no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4D4×D7311yescharacteristic
1510C22⋊C4D4×D7311yescharacteristic
1511C42—21no—
1512C42—21no—
1513C42—731no—
1514C42—731no—
1515C42—731no—
1516C42—731no—
1517C42—731no—
1518C42—731no—
1519C42—731no—
1520C42—731no—
1521C42—731no—
1522C42—1461no—
1523C42—1461no—
1524C42—1461no—
1525C42—1461no—
1526C42—1461no—
1527C42—1461no—
1528C42—1461no—
1529C42—1461no—
1530C42—1461no—
1531C42—1461no—
1532C42—1461no—
1533C42—1461no—
1534C42—1461no—
1535C42C23×D7311yescharacteristic
1536C23—21no—
1537C23—2922no—
1538C23—2922no—
1539C23—5841no—
1540C23—731no—
1541C23—1461no—
1542C23—1461no—
1543C23C2×D4×D7311yescharacteristic
1544C23C2×D4×D7311yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—42no—
1548Q8—2922no—
1549Q8—2922no—
1550Q8—2921no—
1551Q8—5841no—
1552Q8—732no—
1553Q8—1461no—
1554Q8—1461no—
1555Q8—1461no—
1556Q8—1461no—
1557Q8—1461no—
1558Q8—1461no—
1559Q8—1461no—
1560D4—22no—
1561D4—21no—
1562D4—21no—
1563D4—42no—
1564D4—42no—
1565D4—2922no—
1566D4—2922no—
1567D4—2922no—
1568D4—2921no—
1569D4—2922no—
1570D4—5841no—
1571D4—5841no—
1572D4—732no—
1573D4—1462no—
1574D4—1461no—
1575D4—1461no—
1576D4—1461no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—42no—
1589C2×C4—42no—
1590C2×C4—42no—
1591C2×C4—42no—
1592C2×C4—2922no—
1593C2×C4—2921no—
1594C2×C4—2921no—
1595C2×C4—2922no—
1596C2×C4—2922no—
1597C2×C4—2922no—
1598C2×C4—2922no—
1599C2×C4—2922no—
1600C2×C4—2922no—
1601C2×C4—2922no—
1602C2×C4—2922no—
1603C2×C4—2921no—
1604C2×C4—2921no—
1605C2×C4—2921no—
1606C2×C4—2922no—
1607C2×C4—5841no—
1608C2×C4—5841no—
1609C2×C4—731no—
1610C2×C4—731no—
1611C2×C4—731no—
1612C2×C4—731no—
1613C2×C4—731no—
1614C2×C4—731no—
1615C2×C4—731no—
1616C2×C4—1461no—
1617C2×C4—1461no—
1618C2×C4—1461no—
1619C2×C4—1461no—
1620C2×C4—1461no—
1621C2×C4—1462no—
1622C2×C4—1461no—
1623C2×C4—1461no—
1624C2×C4—1461no—
1625C2×C4C2×D4×D7311yescharacteristic
1626C2×C4C2×D4×D7311yescharacteristic
1627C2×C4C2×D4×D7311yescharacteristic
1628C2×C4C2×D4×D7311yescharacteristic
1629C2×C4C24×D7311yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—1461no—
1634C8—1461no—
1635C8—1461no—
1636C8—1461no—
1637C8#41×D7312yes—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—2921no—
1647C22—2921no—
1648C22—2921no—
1649C22—2921no—
1650C22—2921no—
1651C22—5844no—
1652C22—1461no—
1653C22—1462no—
1654C22—1461no—
1655C22—1461no—
1656C22#1798938312yes—
1657C22C22×D4×D7311yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—2921no—
1670C4—2921no—
1671C4—2921no—
1672C4—2921no—
1673C4—2921no—
1674C4—1461no—
1675C4—1461no—
1676C4—1461no—
1677C4—1461no—
1678C4—1462no—
1679C4—1461no—
1680C4—1461no—
1681C4—1461no—
1682C4C2×#41×D7311yescharacteristic
1683C4#1798942411yescharacteristic
1684C2—22no—
1685C2—41no—
1686C2—81no—
1687C2—2922no—
1688C2—2921no—
1689C2—5841no—
1690C2#2262341811yescharacteristic
1691C2C2×#1798938311yescharacteristic
1692C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3343C2
socleC22×C73C23×D4
hypercenter#3343D73
hypocenterC73#61455
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3343

Complements

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

NH ≅ G/Ntype
1. #22623543C2semidirect
2. #22623496C2semidirect
3. #22623011C2semidirect
4. #22622871C2semidirect
5. #22622780C2semidirect
6. #22622761C2semidirect
7. #22622447C2semidirect
8. #22622295C2semidirect
9. #22622120C2semidirect
10. #22622030C2semidirect
11. #22621976C2semidirect
12. #22621886C2semidirect
13. #22621816C2semidirect
14. #22621764C2semidirect
15. #22621635C2semidirect
16. #22621493C2semidirect
17. #22621446C2semidirect
18. #22620653C2semidirect
19. #22620642C2semidirect
20. #22620633C2semidirect
21. #22620105C2semidirect
22. #22620096C2semidirect
23. #22620066C2semidirect
24. #22620058C2semidirect
25. #22620045C2semidirect
26. #22620035C2semidirect
27. #22618941C2semidirect
28. #22618749C2semidirect
29. #22618726C2semidirect
30. C2×#17988686C2semidirect
31. C73×#3343C2semidirect
35. #17989312C22semidirect
38. #17989307C22semidirect
46. #17989272C22semidirect
52. #17989243C22semidirect
57. #17989142C22semidirect
65. #17989118C22semidirect
73. C4×#11924027C22semidirect
75. C2×#14556556C22semidirect
78. #17988994C22semidirect
79. #17988988C22semidirect
81. #17988978C22semidirect
83. #17988957C22semidirect
84. #17988954C22semidirect
86. #17988945C22semidirect
88. #17988940C22semidirect
89. #17988930C22semidirect
90. #17988930C22semidirect
91. #17988930C22semidirect
92. #17988928C22semidirect
97. #17988893C22semidirect
98. #17988893C22semidirect
99. #17988893C22semidirect
100. #17988891C22semidirect
105. #17988871C22semidirect
106. #17988871C22semidirect
107. #17988843C22semidirect
110. #17988829C22semidirect
111. #17988829C22semidirect
120. #17988808C22semidirect
125. #17988797C22semidirect
126. #17988796C22semidirect
127. #17988796C22semidirect
132. #17988750C22semidirect
135. #17988742C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
146. #17988693C22semidirect
147. #17988693C22semidirect
148. #17988693C22semidirect
149. #17988692C22semidirect
150. #17988691C22semidirect
151. #17988691C22semidirect
152. #17988691C22semidirect
154. #17988688C22semidirect
165. #17988684C22semidirect
166. #17988681C22semidirect
167. #17988681C22semidirect
170. #17988661C22semidirect
172. #17988656C22semidirect
175. #17988643C22semidirect
177. #17988641C22semidirect
178. #17988624C22semidirect
179. #17988595C22semidirect
182. #17988580C22semidirect
185. M16×Dic73C22semidirect
187. #97×D73C22semidirect
190. #501×C73C22semidirect
191. #484×C73C22semidirect
193. #482×C73C22semidirect
195. #478×C73C22semidirect
196. #477×C73C22semidirect
197. #468×C73C22semidirect
199. #440×C73C22semidirect
201. #428×C73C22semidirect
544. #11924017#41semidirect
854. #3343D73semidirect
878. C73#61455semidirect
928. #501C2×D73semidirect
943. #484C2×D73semidirect
948. #482C2×D73semidirect
958. #478C2×D73semidirect
959. #477C2×D73semidirect
966. #468C2×D73semidirect
1024. #440C2×D73semidirect
1038. #428C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235432
#226234962
#226230112
#226228712
#226227802
#226227612
#226224472
#226222952
#226221202
#226220302
#226219762
#226218862
#226218162
#226217642
#226216352
#226214932
#226214462
#226206532
#226206422
#226206332
#226201052
#226200962
#226200662
#226200582
#226200452
#226200352
#226189412
#226187492
#226187262
C2×#179886862
C73×#33432
#6145573