Finite Group Databasebeta

← #33978937

Subgroups — #33978937

Order 18688.

1880 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623893C211yesmaximal, characteristic, complemented
2#22623482C211yesmaximal, characteristic, complemented
3#22623007C211yesmaximal, characteristic, complemented
4#22623000C211yesmaximal, characteristic, complemented
5#22622751C211yesmaximal, characteristic, complemented
6#22622685C211yesmaximal, characteristic, complemented
7#22622110C211yesmaximal, characteristic, complemented
8#22622082C211yesmaximal, characteristic, complemented
9#22621982C211yesmaximal, characteristic, complemented
10#22621954C211yesmaximal, characteristic, complemented
11#22621822C211yesmaximal, characteristic, complemented
12#22621772C211yesmaximal, characteristic, complemented
13#22621638C211yesmaximal, characteristic, complemented
14#22621609C211yesmaximal, characteristic, complemented
15#22621480C211yesmaximal, characteristic, complemented
16#22621459C211yesmaximal, characteristic, complemented
17#22621412C211yesmaximal, characteristic, complemented
18#22621328C211yesmaximal, characteristic, complemented
19#22621281C211yesmaximal, characteristic, complemented
20#22621263C211yesmaximal, characteristic, complemented
21#22620965C211yesmaximal, characteristic, complemented
22#22620933C211yesmaximal, characteristic, complemented
23#22620895C211yesmaximal, characteristic, complemented
24#22620070C211yesmaximal, characteristic, complemented
25#22620044C211yesmaximal, characteristic, complemented
26#22619950C211yesmaximal, characteristic, complemented
27#22619427C211yesmaximal, characteristic, complemented
28#22619387C211yesmaximal, characteristic, complemented
29C2×#17988804C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3266C211yesmaximal, characteristic, complemented
32C2×#14556616C2211yescharacteristic
33C2×#14556612C2211yescharacteristic, complemented
34C2×#14556612C2211yescharacteristic, complemented
35C22×#11924013C2211yescharacteristic
36#17989322C2211yescharacteristic, complemented
37#17989311C2211yescharacteristic, complemented
38#17989306C2211yescharacteristic, complemented
39#17989303—21no—
40#17989301C2211yescharacteristic, complemented
41#17989296C2211yescharacteristic, complemented
42#17989280—21no—
43#17989279C2211yescharacteristic, complemented
44#17989277C2211yescharacteristic
45#17989274—21no—
46#17989268—21no—
47#17989264—21no—
48#17989264—21no—
49#17989263—21no—
50#17989248C2211yescharacteristic
51#17989248C2211yescharacteristic, complemented
52#17989236C2211yescharacteristic, complemented
53#17989232—21no—
54#17989231C2211yescharacteristic, complemented
55#17989228C2211yescharacteristic
56#17989228C2211yescharacteristic, complemented
57D4×D292C2211yescharacteristic
58#17989211—21no—
59#17989177—21no—
60#17989177—21no—
61#17989139C2211yescharacteristic, complemented
62#17989138C2211yescharacteristic, complemented
63#17989124C2211yescharacteristic, complemented
64#17989123C2211yescharacteristic
65#17989123C2211yescharacteristic, complemented
66#17989118—21no—
67#17989118C2211yescharacteristic, complemented
68#17989116C2211yescharacteristic, complemented
69#17989114—21no—
70C2×#14556580C2211yescharacteristic
71C2×#14556580C2211yescharacteristic, complemented
72#17989093—21no—
73#17989059—21no—
74#41×Dic73C2211yescharacteristic, complemented
75C4×#11924027C2211yescharacteristic
76C4×#11924027C2211yescharacteristic, complemented
77C2×D4×Dic73C2211yescharacteristic, complemented
78C2×#14556547—21no—
79#17988980C2211yescharacteristic, complemented
80#17988980C2211yescharacteristic, complemented
81#17988977C2211yescharacteristic
82#17988968C2211yescharacteristic
83#17988968C2211yescharacteristic, complemented
84#17988955C2211yescharacteristic, complemented
85#17988952C2211yescharacteristic, complemented
86#17988948C2211yescharacteristic, complemented
87#17988948C2211yescharacteristic, complemented
88#17988943C2211yescharacteristic, complemented
89#17988943C2211yescharacteristic, complemented
90#17988927C2211yescharacteristic, complemented
91#17988925C2211yescharacteristic, complemented
92#17988915C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic, complemented
95#17988901C2211yescharacteristic
96#17988896C2211yescharacteristic, complemented
97#17988894C2211yescharacteristic, complemented
98#17988893C2211yescharacteristic, complemented
99#17988892C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic, complemented
101#17988888C2211yescharacteristic, complemented
102#17988885C2211yescharacteristic, complemented
103#17988885C2211yescharacteristic, complemented
104#17988870C2211yescharacteristic, complemented
105#17988866C2211yescharacteristic, complemented
106#17988843C2211yescharacteristic, complemented
107#17988838C2211yescharacteristic
108#17988833C2211yescharacteristic, complemented
109#17988826C2211yescharacteristic, complemented
110#17988825C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic
112#17988819C2211yescharacteristic, complemented
113#17988818C2211yescharacteristic
114#17988816C2211yescharacteristic
115#17988813C2211yescharacteristic, complemented
116#17988812C2211yescharacteristic, complemented
117#17988812C2211yescharacteristic, complemented
118#17988812C2211yescharacteristic, complemented
119#17988811C2211yescharacteristic, complemented
120#17988811C2211yescharacteristic, complemented
121#17988811C2211yescharacteristic, complemented
122#17988811C2211yescharacteristic, complemented
123#17988811C2211yescharacteristic, complemented
124#17988807C2211yescharacteristic, complemented
125#17988804C2211yescharacteristic
126#17988804C2211yescharacteristic
127#17988804C2211yescharacteristic
128#17988804C2211yescharacteristic
129#17988804C2211yescharacteristic
130#17988804C2211yescharacteristic, complemented
131#17988804C2211yescharacteristic, complemented
132#17988804C2211yescharacteristic, complemented
133#17988804C2211yescharacteristic, complemented
134#17988804C2211yescharacteristic, complemented
135#17988804C2211yescharacteristic, complemented
136#17988804C2211yescharacteristic, complemented
137#17988801C2211yescharacteristic, complemented
138#17988799C2211yescharacteristic
139#17988795C2211yescharacteristic, complemented
140#17988794C2211yescharacteristic, complemented
141#17988791C2211yescharacteristic, complemented
142#17988788C2211yescharacteristic, complemented
143#17988782C2211yescharacteristic
144#17988748C2211yescharacteristic, complemented
145#17988748C2211yescharacteristic, complemented
146#17988746C2211yescharacteristic, complemented
147#17988743C2211yescharacteristic, complemented
148#17988743C2211yescharacteristic, complemented
149#17988740C2211yescharacteristic
150#17988740C2211yescharacteristic, complemented
151#17988737C2211yescharacteristic
152#17988733C2211yescharacteristic
153#17988732C2211yescharacteristic
154#17988731C2211yescharacteristic, complemented
155#17988731C2211yescharacteristic, complemented
156#17988721C2211yescharacteristic
157#17988720C2211yescharacteristic
158#17988716C2211yescharacteristic, complemented
159#17988715C2211yescharacteristic, complemented
160#17988697C2211yescharacteristic
161#17988696C2211yescharacteristic, complemented
162#17988696C2211yescharacteristic, complemented
163#17988692C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic, complemented
165#17988688C2211yescharacteristic, complemented
166#17988688C2211yescharacteristic, complemented
167Q16×Dic73C2211yescharacteristic, complemented
168SD16×Dic73C2211yescharacteristic, complemented
169#17988672C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic, complemented
172#17988659C2211yescharacteristic
173#17988656C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic, complemented
179#17988610C2211yescharacteristic, complemented
180C2×#14556520C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988596C2211yescharacteristic, complemented
183#17988593C2211yescharacteristic, complemented
184#17988582C2211yescharacteristic, complemented
185#17988582C2211yescharacteristic, complemented
186C2×#14556515C2211yescharacteristic, complemented
187C2×#14556513C2211yescharacteristic
188C2×#137×C73C2211yescharacteristic, complemented
189C22×SD16×C73C2211yescharacteristic, complemented
190D4×Q8×C73C2211yescharacteristic
191#546×C73C2211yescharacteristic
192#497×C73C2211yescharacteristic, complemented
193#468×C73C2211yescharacteristic, complemented
194#467×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#461×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#451×C73C2211yescharacteristic, complemented
199#450×C73C2211yescharacteristic, complemented
200#448×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924027D411yescharacteristic
206C2×#11924027C2311yescharacteristic
207C22×D292C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C2×D4×D73—21no—
210C23×Dic73—21no—
211#14556616—42no—
212#14556612—42no—
213#14556612—42no—
214C2×#11924018C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924013—42no—
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924012C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556589C2311yescharacteristic
236#14556588C2311yescharacteristic
237#14556586—21no—
238#14556586—21no—
239#14556586—21no—
240#14556586—21no—
241#14556586—21no—
242#14556586—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556583C2311yescharacteristic
249#14556582—21no—
250#14556582C2311yescharacteristic
251#14556582C2311yescharacteristic
252#14556581—21no—
253#14556581—21no—
254#14556580—21no—
255#14556580—21no—
256#14556580—21no—
257#14556580—21no—
258#14556580—21no—
259#14556580—21no—
260#14556580C2311yescharacteristic
261#14556580C2311yescharacteristic
262#14556580C2311yescharacteristic
263#14556580C2311yescharacteristic
264#14556580C2311yescharacteristic
265#14556580C2311yescharacteristic
266#14556580C2311yescharacteristic
267#14556579—21no—
268#14556578—21no—
269#14556578C2311yescharacteristic
270#14556577—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576—21no—
276#14556575—21no—
277#14556575—21no—
278#14556575—21no—
279#14556574—21no—
280#14556573—21no—
281#14556572—21no—
282#14556572—21no—
283#14556572—21no—
284#14556572—21no—
285#14556571—21no—
286#14556570—21no—
287#14556570C2311yescharacteristic
288#14556570C2311yescharacteristic
289#14556568—21no—
290#14556568—21no—
291#14556568—21no—
292#14556568—21no—
293#14556567—21no—
294#14556567—21no—
295#14556567C2311yescharacteristic
296#14556567C2311yescharacteristic
297#14556566—21no—
298#14556566—21no—
299#14556566—21no—
300#14556566—21no—
301#14556566—21no—
302#14556566C2311yescharacteristic
303#14556565—21no—
304#14556565—21no—
305#14556565C2311yescharacteristic
306#14556565C2311yescharacteristic
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556562C2311yescharacteristic
311#14556561—21no—
312#14556561—21no—
313#14556561—21no—
314#14556561—21no—
315#14556560—21no—
316Q8×Dic73C2311yescharacteristic
317Q8×Dic73C2311yescharacteristic
318Q8×Dic73C2311yescharacteristic
319Q8×Dic73C2311yescharacteristic
320C4×Dic146C2311yescharacteristic
321C4×Dic146C2311yescharacteristic
322#14556556—21no—
323#14556556D411yescharacteristic
324#14556556C2311yescharacteristic
325C4×D292—21no—
326C4×D292—21no—
327C4×D292C2311yescharacteristic
328D4×Dic73—21no—
329D4×Dic73—21no—
330D4×Dic73—21no—
331D4×Dic73—21no—
332D4×Dic73—21no—
333D4×Dic73D411yescharacteristic
334D4×Dic73C2311yescharacteristic
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339#14556553—21no—
340#14556553—21no—
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73C2311yescharacteristic
347C4×C22⋊D73C2311yescharacteristic
348#14556551—21no—
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551D411yescharacteristic
353#14556551D411yescharacteristic
354#14556550—21no—
355#14556550C2311yescharacteristic
356#14556549—21no—
357#14556549—21no—
358#14556549—21no—
359#14556549D411yescharacteristic
360#14556549C2311yescharacteristic
361#14556548—21no—
362#14556547—21no—
363#14556547—21no—
364#14556547—21no—
365#14556547—21no—
366#14556547—21no—
367#14556547—21no—
368#14556547—21no—
369#14556547—21no—
370#14556547D411yescharacteristic
371#14556547D411yescharacteristic
372C2×C4⋊Dic73C2311yescharacteristic
373C2×#11924007—21no—
374C2×#11924007—21no—
375C2×C22⋊Dic73—21no—
376C2×C22⋊Dic73—21no—
377C2×#11924005—21no—
378C2×#11924005—21no—
379C2×#11924005—21no—
380C2×#11924005—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C2×C4×Dic73—21no—
384C2×C4×Dic73—21no—
385C2×C4×Dic73C2311yescharacteristic
386C2×C4×Dic73C2311yescharacteristic
387C42×D73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C22×Q8×C73C2311yescharacteristic
441C22×Q8×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443#137×C73—42no—
444C2×Q16×C73C2311yescharacteristic
445C2×Q16×C73C2311yescharacteristic
446C2×Q16×C73C2311yescharacteristic
447C2×SD16×C73—42no—
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456C4⋊Q8×C73—21no—
457C4⋊Q8×C73C2311yescharacteristic
458#124×C73C2311yescharacteristic
459#123×C73—21no—
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73—21no—
462C22⋊Q8×C73C2311yescharacteristic
463C22⋊Q8×C73C2311yescharacteristic
464C22⋊Q8×C73C2311yescharacteristic
465#121×C73—21no—
466#121×C73C2311yescharacteristic
467#120×C73—21no—
468C4×Q8×C73C2311yescharacteristic
469C4×D4×C73—21no—
470C4×D4×C73C2311yescharacteristic
471C4×D4×C73C2311yescharacteristic
472C2×C22⋊C4×C73—21no—
473#107×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924029—41no—
487#11924029—41no—
488#11924029—41no—
489#11924029—41no—
490#11924027—22no—
491#11924027—41no—
492#11924027—42no—
493C2×Dic146—21no—
494C2×Dic146C2×D411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—41no—
504C2×D292—41no—
505C2×D292—41no—
506C2×D292—41no—
507C2×D292C2411yescharacteristic
508C2×D292C2411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73C2×D411yescharacteristic
515C2×C22⋊D73C2×D411yescharacteristic
516D4×D73—44no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—44no—
525C22×Dic73C2×D411yescharacteristic
526C22×Dic73C2×D411yescharacteristic
527C22×Dic73C2×D411yescharacteristic
528C22×Dic73C2×D411yescharacteristic
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73C2×D411yescharacteristic
535C2×C4×D73C2×D411yescharacteristic
536C2×C4×D73C2411yescharacteristic
537#11924018—41no—
538#11924018—41no—
539#11924018—41no—
540#11924017—41no—
541#11924017—41no—
542#11924017—41no—
543#11924015—41no—
544#11924015—41no—
545#11924015—41no—
546#11924013—22no—
547#11924013—22no—
548#11924013—22no—
549#11924013—41no—
550#11924013—41no—
551#11924013—41no—
552#11924012—41no—
553C2×#10596831—41no—
554C2×#10596831C2411yescharacteristic
555C2×#10596831C2411yescharacteristic
556C2×#10596831C2411yescharacteristic
557C2×#10596831C2411yescharacteristic
558C8×D73—41no—
559C8×D73—41no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73C2×D411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570C4⋊Dic73C2411yescharacteristic
571C4⋊Dic73C2411yescharacteristic
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#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
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⋊Dic73—21no—
600C22⋊Dic73C2×D411yescharacteristic
601C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643C4×Dic73C2411yescharacteristic
644C24×C73—21no—
645#41×C73—22no—
646#41×C73—41no—
647C2×Q8×C73—21no—
648C2×Q8×C73—21no—
649C2×Q8×C73—41no—
650C2×Q8×C73—41no—
651C2×Q8×C73—41no—
652C2×Q8×C73—41no—
653C2×Q8×C73C2411yescharacteristic
654C2×Q8×C73C2411yescharacteristic
655C2×Q8×C73C2411yescharacteristic
656C2×Q8×C73C2411yescharacteristic
657C2×D4×C73—22no—
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—41no—
662C2×D4×C73C2×D411yescharacteristic
663C2×D4×C73C2411yescharacteristic
664C2×D4×C73C2411yescharacteristic
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73C2411yescharacteristic
670C22×C4×C73C2411yescharacteristic
671Q16×C73—41no—
672Q16×C73—41no—
673Q16×C73—41no—
674SD16×C73—22no—
675SD16×C73—22no—
676SD16×C73—22no—
677SD16×C73—41no—
678SD16×C73—41no—
679SD16×C73—41no—
680M16×C73—41no—
681C2×C8×C73—41no—
682C2×C8×C73C2411yescharacteristic
683C2×C8×C73C2411yescharacteristic
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73—21no—
691C4⋊C4×C73—21no—
692C4⋊C4×C73C2×D411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73C2×D411yescharacteristic
703C22⋊C4×C73C2×D411yescharacteristic
704C42×C73—21no—
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—42no—
709C23×C73—42no—
710C23×C73—81no—
711C23×C73C22×D411yescharacteristic
712C23×C73C22×D411yescharacteristic
713C22×D73—21no—
714C22×D73—21no—
715C22×D73—21no—
716C22×D73—42no—
717C22×D73—42no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728Q8×C73—21no—
729Q8×C73—21no—
730Q8×C73—21no—
731Q8×C73—81no—
732Q8×C73—81no—
733D4×C73—22no—
734D4×C73—21no—
735D4×C73—21no—
736D4×C73—21no—
737D4×C73—42no—
738D4×C73—42no—
739D4×C73—81no—
740D4×C73H(5,𝔽2)12yes—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—42no—
752C2×C4×C73—81no—
753C2×C4×C73—81no—
754C2×C4×C73—81no—
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C22×D411yescharacteristic
759C2×C4×C73C2511yescharacteristic
760C22⋊D73—22no—
761C22⋊D73—41no—
762C22⋊D73—42no—
763C22⋊D73—42no—
764C22⋊D73—42no—
765C22⋊D73—81no—
766C2×Dic73—22no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—21no—
772C2×Dic73—41no—
773C2×Dic73—41no—
774C2×Dic73—41no—
775C2×Dic73—42no—
776C2×Dic73—42no—
777C2×Dic73—42no—
778C2×Dic73—42no—
779C2×Dic73—42no—
780C2×Dic73—42no—
781C2×Dic73—81no—
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784C2×Dic73C22×D411yescharacteristic
785C2×Dic73C22×D411yescharacteristic
786C2×Dic73C22×D411yescharacteristic
787C2×Dic73C22×D411yescharacteristic
788C2×Dic73C22×D411yescharacteristic
789D292—21no—
790D292—21no—
791D292—21no—
792D292—21no—
793D292—21no—
794D292—21no—
795D292—42no—
796D292—81no—
797D292—81no—
798D292—81no—
799D292—81no—
800D292—81no—
801D292—81no—
802C4×D73—21no—
803C4×D73—21no—
804C4×D73—41no—
805C4×D73—41no—
806C4×D73—42no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811Dic146—21no—
812Dic146—21no—
813Dic146—41no—
814Dic146—81no—
815C8×C73—21no—
816C8×C73—21no—
817C8×C73—21no—
818C8×C73—21no—
819#10596831—21no—
820#10596831—21no—
821#10596831—21no—
822#10596831—21no—
823C22×C73—21no—
824C22×C73—21no—
825C22×C73—21no—
826C22×C73—22no—
827C22×C73—21no—
828C22×C73—21no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—84no—
835C22×C73#57512yes—
836C22×C73C23×D411yescharacteristic
837C2×D73—21no—
838C2×D73—21no—
839C2×D73—21no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—162no—
850C2×D73—162no—
851C4×C73—21no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73—41no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860C4×C73—41no—
861C4×C73C2×H(5,𝔽2)11yescharacteristic
862C4×C73#58511yescharacteristic
863Dic73—21no—
864Dic73—21no—
865Dic73—21no—
866Dic73—21no—
867Dic73—21no—
868Dic73—21no—
869Dic73—21no—
870Dic73—41no—
871Dic73—41no—
872Dic73—41no—
873Dic73—41no—
874Dic73—41no—
875#61990—731nomaximal, Sylow
876C2×C73—22no—
877C2×C73—41no—
878C2×C73—42no—
879C2×C73—81no—
880C2×C73#348811yescharacteristic
881C2×C73C2×#57511yescharacteristic
882C2×C73#358411yescharacteristic
883D73—41no—
884D73—81no—
885D73—81no—
886D73—81no—
887#3514—731no—
888#3475—731no—
889#3402—731no—
890#3401—731no—
891#3376—731no—
892#3370—731no—
893#3321—731no—
894#3319—731no—
895#3312—731no—
896#3310—731no—
897#3300—731no—
898#3296—731no—
899#3282—731no—
900#3280—731no—
901#3269—731no—
902#3267—731no—
903#3266D7311yescharacteristic, complemented
904#3264—731no—
905#3256—731no—
906#3250—731no—
907#3248—731no—
908#3219—731no—
909#3215—731no—
910#3211—731no—
911#3114—731no—
912#3111—731no—
913#3102—731no—
914#3040—731no—
915#3035—731no—
916C2×#463—731no—
917#2990—731no—
918C73#6199011yescharacteristic, complemented, Sylow
919C2×#137C2×D7311yescharacteristic, complemented
920C2×AGL(1,ℤ/8)—731no—
921C2×#135—731no—
922C2×#135—731no—
923C22×SD16C2×D7311yescharacteristic, complemented
924C22×D8—731no—
925#559—731no—
926#556—731no—
927#556—731no—
928#555—731no—
929#555—1461no—
930#554—731no—
931#553—1461no—
932#552—731no—
933#552—731no—
934#552—1461no—
935#551—1461no—
936#551—1461no—
937#551—1461no—
938#551—1461no—
939D4×Q8C2×D7311yescharacteristic
940#548—731no—
941#548—731no—
942#547—731no—
943#546—731no—
944#546—731no—
945#546—731no—
946#546—1461no—
947#546C2×D7311yescharacteristic
948D42—731no—
949#542—1461no—
950#538—1461no—
951#538—1461no—
952#533—731no—
953#532—731no—
954#529—731no—
955#529—731no—
956#529—731no—
957#529—731no—
958#529—731no—
959#529—1461no—
960#529—1461no—
961C2×#124—731no—
962C2×#124—731no—
963#525—1461no—
964#518—1461no—
965C4×#41—731no—
966C4×#41—731no—
967C4×#41—731no—
968C2×C4×D4—731no—
969C2×#117—1461no—
970#497—731no—
971#497—731no—
972#497C2×D7311yescharacteristic, complemented
973#496—731no—
974#495—731no—
975#495—731no—
976#491—731no—
977#490—731no—
978#489—731no—
979#489—731no—
980#488—731no—
981#488—731no—
982#485—731no—
983#485—731no—
984#483—731no—
985#482—731no—
986#482—731no—
987#480—731no—
988#479—731no—
989#479—731no—
990#479—731no—
991#479—731no—
992#478—731no—
993#478—731no—
994#478—731no—
995#478—731no—
996#475—731no—
997#474—731no—
998#470—731no—
999#469—731no—
1000#468—731no—
1001#468C2×D7311yescharacteristic, complemented
1002#467—731no—
1003#467—731no—
1004#467C2×D7311yescharacteristic, complemented
1005#466—731no—
1006#465—731no—
1007#465—731no—
1008#465—731no—
1009#465—731no—
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464—731no—
1014#464—731no—
1015#464—731no—
1016#464—731no—
1017#464—731no—
1018#464—731no—
1019#464C2×D7311yescharacteristic, complemented
1020#463—731no—
1021#463—731no—
1022#463—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463—731no—
1033#463—731no—
1034#462—731no—
1035#462—731no—
1036#461—731no—
1037#461C2×D7311yescharacteristic, complemented
1038#460—731no—
1039#459—731no—
1040#452—731no—
1041#452—731no—
1042#452—731no—
1043#452C2×D7311yescharacteristic, complemented
1044#451—731no—
1045#451—731no—
1046#451C2×D7311yescharacteristic, complemented
1047#450—731no—
1048#450—731no—
1049#450—731no—
1050#450C2×D7311yescharacteristic, complemented
1051#449—731no—
1052#449—731no—
1053#449—731no—
1054#449—731no—
1055#448C2×D7311yescharacteristic, complemented
1056#447—731no—
1057#447—731no—
1058#446—731no—
1059#446—731no—
1060#442—731no—
1061#442—731no—
1062#442—731no—
1063#441—731no—
1064#440—731no—
1065#440—731no—
1066#440—731no—
1067#440C2×D7311yescharacteristic, complemented
1068C4×Q16—731no—
1069C4×SD16—731no—
1070C4×SD16—731no—
1071C4×D8—731no—
1072#435—731no—
1073#435—731no—
1074#435—731no—
1075#435C2×D7311yescharacteristic
1076C8×D4—731no—
1077C8×D4—731no—
1078#432—731no—
1079#432—731no—
1080#431—731no—
1081#423—731no—
1082C2×C4⋊C8—731no—
1083C2×C4⋊C8—731no—
1084#419—731no—
1085#418—731no—
1086#416—731no—
1087#416—731no—
1088C2×#103—731no—
1089C2×#102—731no—
1090C2×#41—731no—
1091C2×#41—731no—
1092C2×#41—731no—
1093C2×#41—731no—
1094C2×#41C22×D7311yescharacteristic
1095C22×Q8C22×D7311yescharacteristic
1096C22×Q8C22×D7311yescharacteristic
1097C22×D4—731no—
1098C22×D4—731no—
1099C22×D4—1461no—
1100C22×D4C22×D7311yescharacteristic
1101C23×C4—1461no—
1102#137—42no—
1103AGL(1,ℤ/8)—2922no—
1104#135—2922no—
1105#135—2922no—
1106C2×Q16—731no—
1107C2×Q16—731no—
1108C2×Q16—731no—
1109C2×Q16C22×D7311yescharacteristic
1110C2×Q16C22×D7311yescharacteristic
1111C2×Q16C22×D7311yescharacteristic
1112C2×SD16—42no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16C22×D7311yescharacteristic
1120C2×SD16C22×D7311yescharacteristic
1121C2×SD16C22×D7311yescharacteristic
1122C2×SD16C22×D7311yescharacteristic
1123C2×SD16C22×D7311yescharacteristic
1124C2×SD16C22×D7311yescharacteristic
1125C2×D8—2922no—
1126C2×D8—731no—
1127C2×D8—731no—
1128C2×D8—731no—
1129C2×D8—731no—
1130C2×D8—731no—
1131C2×D8—731no—
1132C2×M16—731no—
1133C2×M16C22×D7311yescharacteristic
1134C22×C8—731no—
1135C22×C8—731no—
1136C22×C8—731no—
1137C22×C8C22×D7311yescharacteristic
1138C4⋊Q8—21no—
1139C4⋊Q8—731no—
1140C4⋊Q8—731no—
1141C4⋊Q8C22×D7311yescharacteristic
1142#127—731no—
1143#126—1461no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#126—1461no—
1148#126—1461no—
1149#126—1461no—
1150#126—1461no—
1151#126—1461no—
1152#126—1461no—
1153#126—1461no—
1154#125—731no—
1155#125—731no—
1156#125—731no—
1157#125—1461no—
1158#125—1461no—
1159#125—1461no—
1160#124—731no—
1161#124—731no—
1162#124—731no—
1163#124—731no—
1164#124—731no—
1165#124—731no—
1166#124—731no—
1167#124—731no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#124—1461no—
1173#124—1461no—
1174#124—1461no—
1175#124—1461no—
1176#124—1461no—
1177#124C22×D7311yescharacteristic
1178#123—21no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186#123—1461no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193C22⋊Q8—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—731no—
1196C22⋊Q8—731no—
1197C22⋊Q8—731no—
1198C22⋊Q8—731no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8—1461no—
1206C22⋊Q8—1461no—
1207C22⋊Q8C22×D7311yescharacteristic
1208C22⋊Q8C22×D7311yescharacteristic
1209C22⋊Q8C22×D7311yescharacteristic
1210#121—21no—
1211#121—731no—
1212#121—731no—
1213#121—731no—
1214#121—731no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121—1461no—
1225#121C22×D7311yescharacteristic
1226#120—21no—
1227#120—1461no—
1228#120—1461no—
1229#120—1461no—
1230#120—1461no—
1231#120—1461no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—731no—
1236C4×Q8—731no—
1237C4×Q8—731no—
1238C4×Q8—731no—
1239C4×Q8—731no—
1240C4×Q8—1461no—
1241C4×Q8C22×D7311yescharacteristic
1242C4×D4—21no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—731no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4C22×D7311yescharacteristic
1273C4×D4C22×D7311yescharacteristic
1274#117—731no—
1275#117—731no—
1276#117—731no—
1277#117—731no—
1278#117—731no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285#117—1461no—
1286#117—1461no—
1287#117—1461no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117—1461no—
1292C2×C4⋊C4—731no—
1293C2×C4⋊C4—1461no—
1294C2×C4⋊C4—1461no—
1295C2×C22⋊C4—21no—
1296C2×C22⋊C4—1461no—
1297C2×C22⋊C4—1461no—
1298C2×C22⋊C4—1461no—
1299C2×C22⋊C4—1461no—
1300C2×C22⋊C4—1461no—
1301C2×C22⋊C4—1461no—
1302C2×C22⋊C4—1461no—
1303C2×C22⋊C4—1461no—
1304C2×C42—731no—
1305C2×C42—731no—
1306C2×C42—731no—
1307C2×C42—1461no—
1308C2×C42—1461no—
1309#107—731no—
1310#107—731no—
1311#107—731no—
1312#107C22×D7311yescharacteristic
1313#106—731no—
1314#106—731no—
1315#106—731no—
1316#106—731no—
1317C4⋊C8—731no—
1318C4⋊C8—731no—
1319C4⋊C8—731no—
1320C4⋊C8—731no—
1321C4⋊C8—731no—
1322C4⋊C8—731no—
1323C4⋊C8—731no—
1324C4⋊C8—731no—
1325C4⋊C8—731no—
1326C4⋊C8C22×D7311yescharacteristic
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103C22×D7311yescharacteristic
1340#103C22×D7311yescharacteristic
1341#103C22×D7311yescharacteristic
1342#103C22×D7311yescharacteristic
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102C22×D7311yescharacteristic
1358#102C22×D7311yescharacteristic
1359C22⋊C8—731no—
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8—731no—
1363C22⋊C8C22×D7311yescharacteristic
1364C22⋊C8C22×D7311yescharacteristic
1365#97—731no—
1366#97—731no—
1367#97—731no—
1368#97C22×D7311yescharacteristic
1369C4×C8—731no—
1370C4×C8—731no—
1371C24—21no—
1372C24—1461no—
1373C24—1461no—
1374#41—22no—
1375#41—41no—
1376#41—2921no—
1377#41—2922no—
1378#41—2921no—
1379#41—2921no—
1380#41—2921no—
1381#41—2921no—
1382#41—1462no—
1383C2×Q8—21no—
1384C2×Q8—21no—
1385C2×Q8—41no—
1386C2×Q8—41no—
1387C2×Q8—41no—
1388C2×Q8—41no—
1389C2×Q8—731no—
1390C2×Q8—731no—
1391C2×Q8—1461no—
1392C2×Q8C23×D7311yescharacteristic
1393C2×Q8C23×D7311yescharacteristic
1394C2×Q8C23×D7311yescharacteristic
1395C2×Q8C23×D7311yescharacteristic
1396C2×D4—22no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—41no—
1401C2×D4—2921no—
1402C2×D4—2921no—
1403C2×D4—2921no—
1404C2×D4—2921no—
1405C2×D4—2924no—
1406C2×D4—731no—
1407C2×D4—731no—
1408C2×D4—731no—
1409C2×D4—731no—
1410C2×D4—731no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4D4×D7311yescharacteristic
1423C2×D4C23×D7311yescharacteristic
1424C2×D4C23×D7311yescharacteristic
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—2924no—
1430C22×C4—731no—
1431C22×C4—731no—
1432C22×C4—731no—
1433C22×C4—731no—
1434C22×C4—731no—
1435C22×C4—731no—
1436C22×C4—731no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4—1461no—
1445C22×C4—1461no—
1446C22×C4—1461no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4C23×D7311yescharacteristic
1450C22×C4C23×D7311yescharacteristic
1451Q16—41no—
1452Q16—41no—
1453Q16—41no—
1454Q16—2921no—
1455Q16—2921no—
1456Q16—2921no—
1457SD16—22no—
1458SD16—22no—
1459SD16—22no—
1460SD16—41no—
1461SD16—41no—
1462SD16—41no—
1463SD16—2921no—
1464SD16—2921no—
1465SD16—2921no—
1466SD16—2921no—
1467SD16—2921no—
1468SD16—2921no—
1469D8—2921no—
1470D8—2921no—
1471D8—2921no—
1472D8—1462no—
1473D8—1462no—
1474D8—1462no—
1475M16—41no—
1476M16—2921no—
1477C2×C8—41no—
1478C2×C8—2921no—
1479C2×C8—2921no—
1480C2×C8—2921no—
1481C2×C8—731no—
1482C2×C8—731no—
1483C2×C8—731no—
1484C2×C8—731no—
1485C2×C8C23×D7311yescharacteristic
1486C2×C8C23×D7311yescharacteristic
1487C2×C8C23×D7311yescharacteristic
1488C2×C8C23×D7311yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—731no—
1496C4⋊C4—731no—
1497C4⋊C4—731no—
1498C4⋊C4—731no—
1499C4⋊C4—731no—
1500C4⋊C4—731no—
1501C4⋊C4—731no—
1502C4⋊C4—731no—
1503C4⋊C4—731no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4D4×D7311yescharacteristic
1525C4⋊C4C23×D7311yescharacteristic
1526C4⋊C4C23×D7311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—731no—
1535C22⋊C4—731no—
1536C22⋊C4—731no—
1537C22⋊C4—731no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4D4×D7311yescharacteristic
1573C22⋊C4D4×D7311yescharacteristic
1574C42—21no—
1575C42—731no—
1576C42—731no—
1577C42—731no—
1578C42—731no—
1579C42—731no—
1580C42—731no—
1581C42—731no—
1582C42—731no—
1583C42—731no—
1584C42—1461no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42—1461no—
1589C42—1461no—
1590C42—1461no—
1591C42—1461no—
1592C42C23×D7311yescharacteristic
1593C23—21no—
1594C23—21no—
1595C23—42no—
1596C23—42no—
1597C23—81no—
1598C23—2922no—
1599C23—2922no—
1600C23—5841no—
1601C23—5841no—
1602C23—5841no—
1603C23—5841no—
1604C23—731no—
1605C23—1461no—
1606C23—1461no—
1607C23—1461no—
1608C23C2×D4×D7311yescharacteristic
1609C23C2×D4×D7311yescharacteristic
1610Q8—21no—
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—21no—
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—81no—
1619Q8—81no—
1620Q8—2921no—
1621Q8—5841no—
1622Q8—1461no—
1623Q8—1461no—
1624D4—22no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—42no—
1629D4—42no—
1630D4—81no—
1631D4—2922no—
1632D4—2922no—
1633D4—2922no—
1634D4—2922no—
1635D4—2921no—
1636D4—5841no—
1637D4—5841no—
1638D4—5841no—
1639D4—5841no—
1640D4—5841no—
1641D4—5841no—
1642D4—5841no—
1643D4—1462no—
1644D4—1461no—
1645D4—1461no—
1646D4—1461no—
1647D4—1461no—
1648D4—1461no—
1649D4—1461no—
1650D4#1455663612yes—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—42no—
1662C2×C4—81no—
1663C2×C4—81no—
1664C2×C4—81no—
1665C2×C4—2922no—
1666C2×C4—2921no—
1667C2×C4—2921no—
1668C2×C4—2922no—
1669C2×C4—2922no—
1670C2×C4—2922no—
1671C2×C4—2922no—
1672C2×C4—2922no—
1673C2×C4—2922no—
1674C2×C4—2921no—
1675C2×C4—2921no—
1676C2×C4—2921no—
1677C2×C4—5841no—
1678C2×C4—5841no—
1679C2×C4—5841no—
1680C2×C4—5841no—
1681C2×C4—5841no—
1682C2×C4—731no—
1683C2×C4—731no—
1684C2×C4—731no—
1685C2×C4—731no—
1686C2×C4—731no—
1687C2×C4—731no—
1688C2×C4—731no—
1689C2×C4—1461no—
1690C2×C4—1461no—
1691C2×C4—1461no—
1692C2×C4—1461no—
1693C2×C4—1461no—
1694C2×C4—1462no—
1695C2×C4—1461no—
1696C2×C4—1461no—
1697C2×C4C2×D4×D7311yescharacteristic
1698C2×C4C2×D4×D7311yescharacteristic
1699C2×C4C2×D4×D7311yescharacteristic
1700C2×C4C2×D4×D7311yescharacteristic
1701C2×C4C24×D7311yescharacteristic
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—21no—
1706C8—1461no—
1707C8—1461no—
1708C8—1461no—
1709C8—1461no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—22no—
1714C22—21no—
1715C22—21no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—84no—
1722C22—2921no—
1723C22—2921no—
1724C22—2921no—
1725C22—2921no—
1726C22—2921no—
1727C22—2921no—
1728C22—2921no—
1729C22—2921no—
1730C22—2921no—
1731C22—11682no—
1732C22—11682no—
1733C22—1461no—
1734C22—1461no—
1735C22—1461no—
1736C22#1798938612yes—
1737C22C22×D4×D7311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—2921no—
1749C4—2921no—
1750C4—2921no—
1751C4—2921no—
1752C4—2921no—
1753C4—1461no—
1754C4—1461no—
1755C4—1461no—
1756C4—1461no—
1757C4—1461no—
1758C4—1461no—
1759C4—1461no—
1760C4C2×#1455663611yescharacteristic
1761C4#1798942211yescharacteristic
1762C2—22no—
1763C2—41no—
1764C2—42no—
1765C2—81no—
1766C2—2921no—
1767C2—5841no—
1768C2—5841no—
1769C2—5841no—
1770C2#2262359111yescharacteristic
1771C2C2×#1798938611yescharacteristic
1772C2#2262470311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3266C2
socleC22×C73C23×D4
hypercenter#3266D73
hypocenterC73#61990
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
1. #22623893C2semidirect
2. #22623482C2semidirect
3. #22623007C2semidirect
4. #22623000C2semidirect
5. #22622751C2semidirect
6. #22622685C2semidirect
7. #22622110C2semidirect
8. #22622082C2semidirect
9. #22621982C2semidirect
10. #22621954C2semidirect
11. #22621822C2semidirect
12. #22621772C2semidirect
13. #22621638C2semidirect
14. #22621609C2semidirect
15. #22621480C2semidirect
16. #22621459C2semidirect
17. #22621412C2semidirect
18. #22621328C2semidirect
19. #22621281C2semidirect
20. #22621263C2semidirect
21. #22620965C2semidirect
22. #22620933C2semidirect
23. #22620895C2semidirect
24. #22620070C2semidirect
25. #22620044C2semidirect
26. #22619950C2semidirect
27. #22619427C2semidirect
28. #22619387C2semidirect
29. C2×#17988804C2semidirect
30. #22619051C2semidirect
31. C73×#3266C2semidirect
33. C2×#14556612C22semidirect
34. C2×#14556612C22semidirect
36. #17989322C22semidirect
37. #17989311C22semidirect
38. #17989306C22semidirect
40. #17989301C22semidirect
41. #17989296C22semidirect
43. #17989279C22semidirect
51. #17989248C22semidirect
52. #17989236C22semidirect
54. #17989231C22semidirect
56. #17989228C22semidirect
61. #17989139C22semidirect
62. #17989138C22semidirect
63. #17989124C22semidirect
65. #17989123C22semidirect
67. #17989118C22semidirect
68. #17989116C22semidirect
71. C2×#14556580C22semidirect
74. #41×Dic73C22semidirect
76. C4×#11924027C22semidirect
77. C2×D4×Dic73C22semidirect
79. #17988980C22semidirect
80. #17988980C22semidirect
83. #17988968C22semidirect
84. #17988955C22semidirect
85. #17988952C22semidirect
86. #17988948C22semidirect
87. #17988948C22semidirect
88. #17988943C22semidirect
89. #17988943C22semidirect
90. #17988927C22semidirect
91. #17988925C22semidirect
92. #17988915C22semidirect
93. #17988914C22semidirect
94. #17988912C22semidirect
96. #17988896C22semidirect
97. #17988894C22semidirect
98. #17988893C22semidirect
99. #17988892C22semidirect
100. #17988890C22semidirect
101. #17988888C22semidirect
102. #17988885C22semidirect
103. #17988885C22semidirect
104. #17988870C22semidirect
105. #17988866C22semidirect
106. #17988843C22semidirect
108. #17988833C22semidirect
109. #17988826C22semidirect
110. #17988825C22semidirect
112. #17988819C22semidirect
115. #17988813C22semidirect
116. #17988812C22semidirect
117. #17988812C22semidirect
118. #17988812C22semidirect
119. #17988811C22semidirect
120. #17988811C22semidirect
121. #17988811C22semidirect
122. #17988811C22semidirect
123. #17988811C22semidirect
124. #17988807C22semidirect
130. #17988804C22semidirect
131. #17988804C22semidirect
132. #17988804C22semidirect
133. #17988804C22semidirect
134. #17988804C22semidirect
135. #17988804C22semidirect
136. #17988804C22semidirect
137. #17988801C22semidirect
139. #17988795C22semidirect
140. #17988794C22semidirect
141. #17988791C22semidirect
142. #17988788C22semidirect
144. #17988748C22semidirect
145. #17988748C22semidirect
146. #17988746C22semidirect
147. #17988743C22semidirect
148. #17988743C22semidirect
150. #17988740C22semidirect
154. #17988731C22semidirect
155. #17988731C22semidirect
158. #17988716C22semidirect
159. #17988715C22semidirect
161. #17988696C22semidirect
162. #17988696C22semidirect
163. #17988692C22semidirect
164. #17988689C22semidirect
165. #17988688C22semidirect
166. #17988688C22semidirect
167. Q16×Dic73C22semidirect
168. SD16×Dic73C22semidirect
169. #17988672C22semidirect
170. #17988667C22semidirect
171. #17988661C22semidirect
173. #17988656C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988642C22semidirect
177. #17988641C22semidirect
178. #17988637C22semidirect
179. #17988610C22semidirect
180. C2×#14556520C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988596C22semidirect
183. #17988593C22semidirect
184. #17988582C22semidirect
185. #17988582C22semidirect
186. C2×#14556515C22semidirect
188. C2×#137×C73C22semidirect
189. C22×SD16×C73C22semidirect
192. #497×C73C22semidirect
193. #468×C73C22semidirect
194. #467×C73C22semidirect
195. #464×C73C22semidirect
196. #461×C73C22semidirect
197. #452×C73C22semidirect
198. #451×C73C22semidirect
199. #450×C73C22semidirect
200. #448×C73C22semidirect
201. #440×C73C22semidirect
903. #3266D73semidirect
918. C73#61990semidirect
919. C2×#137C2×D73semidirect
923. C22×SD16C2×D73semidirect
972. #497C2×D73semidirect
1001. #468C2×D73semidirect
1004. #467C2×D73semidirect
1019. #464C2×D73semidirect
1037. #461C2×D73semidirect
1043. #452C2×D73semidirect
1046. #451C2×D73semidirect
1050. #450C2×D73semidirect
1055. #448C2×D73semidirect
1067. #440C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238932
#226234822
#226230072
#226230002
#226227512
#226226852
#226221102
#226220822
#226219822
#226219542
#226218222
#226217722
#226216382
#226216092
#226214802
#226214592
#226214122
#226213282
#226212812
#226212632
#226209652
#226209332
#226208952
#226200702
#226200442
#226199502
#226194272
#226193872
C2×#179888042
#226190512
C73×#32662
#6199073