Finite Group Databasebeta

← #33971647

Subgroups — #33971647

Order 18688.

2056 conjugacy classes of subgroups.

The subgroup lattice has 1870 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624212C211yesmaximal, characteristic, complemented
2#22623574C211yesmaximal, characteristic, complemented
3#22622245C211yesmaximal, characteristic, complemented
4#22622138C211yesmaximal, characteristic, complemented
5#22622030C211yesmaximal, characteristic, complemented
6#22622010C211yesmaximal, characteristic, complemented
7#22621962C211yesmaximal, characteristic, complemented
8#22621913C211yesmaximal, characteristic, complemented
9#22621843C211yesmaximal, characteristic, complemented
10#22621764C211yesmaximal, characteristic, complemented
11#22621646C211yesmaximal, characteristic, complemented
12#22621635C211yesmaximal, characteristic, complemented
13#22621574C211yesmaximal, characteristic, complemented
14#22621555C211yesmaximal, characteristic, complemented
15#22621493C211yesmaximal, characteristic, complemented
16#22621479C211yesmaximal, characteristic, complemented
17#22621459C211yesmaximal, characteristic, complemented
18#22621438C211yesmaximal, characteristic, complemented
19#22621038C211yesmaximal, characteristic, complemented
20#22621010C211yesmaximal, characteristic, complemented
21#22620822C211yesmaximal, characteristic, complemented
22#22620771C211yesmaximal, characteristic, complemented
23#22620716C211yesmaximal, characteristic, complemented
24#22620179C211yesmaximal, characteristic, complemented
25#22620110C211yesmaximal, characteristic, complemented
26#22619232C211yesmaximal, characteristic, complemented
27#22619210C211yesmaximal, characteristic, complemented
28#22619190C211yesmaximal, characteristic, complemented
29#22619148C211yesmaximal, characteristic, complemented
30#22618974C211yesmaximal, characteristic, complemented
31C73×#3201C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C22×#11924029C2211yescharacteristic
34C2×#14556624C2211yescharacteristic, complemented
35C2×#14556623C2211yescharacteristic, complemented
36C2×#14556623C2211yescharacteristic, complemented
37C2×#14556616C2211yescharacteristic, complemented
38C2×#14556612C2211yescharacteristic, complemented
39C2×#14556612C2211yescharacteristic, complemented
40C2×#14556611C2211yescharacteristic, complemented
41C22×#11924017C2211yescharacteristic, complemented
42#17989338—21no—
43#17989332—21no—
44#17989308C2211yescharacteristic, complemented
45#17989292C2211yescharacteristic, complemented
46#17989291—21no—
47#17989284—21no—
48#17989284C2211yescharacteristic, complemented
49#17989272C2211yescharacteristic, complemented
50#17989250C2211yescharacteristic, complemented
51#17989244C2211yescharacteristic, complemented
52#17989243C2211yescharacteristic, complemented
53#17989240—21no—
54#17989240—21no—
55#17989239C2211yescharacteristic
56#17989239C2211yescharacteristic
57#17989239C2211yescharacteristic
58#17989239C2211yescharacteristic
59#17989236C2211yescharacteristic, complemented
60#17989230—21no—
61#17989230—21no—
62#17989228C2211yescharacteristic
63#17989228C2211yescharacteristic
64#17989228C2211yescharacteristic
65#17989228C2211yescharacteristic
66#17989204—21no—
67#17989204C2211yescharacteristic, complemented
68#17989197C2211yescharacteristic, complemented
69#17989182—21no—
70#17989169—21no—
71#17989169—21no—
72#17989161C2211yescharacteristic
73#17989158C2211yescharacteristic
74#17989148—21no—
75#17989148—21no—
76#17989099C2211yescharacteristic
77#17989097C2211yescharacteristic, complemented
78#17989094C2211yescharacteristic
79#123×D73—21no—
80#123×D73—21no—
81C22⋊Q8×D73C2211yescharacteristic, complemented
82#17989061C2211yescharacteristic
83#17988980C2211yescharacteristic, complemented
84#17988978C2211yescharacteristic, complemented
85#17988968C2211yescharacteristic, complemented
86#17988965C2211yescharacteristic, complemented
87#17988954C2211yescharacteristic, complemented
88#17988948C2211yescharacteristic, complemented
89#17988943C2211yescharacteristic, complemented
90#17988936C2211yescharacteristic, complemented
91#17988930C2211yescharacteristic, complemented
92#17988928C2211yescharacteristic, complemented
93#17988928C2211yescharacteristic, complemented
94#17988925C2211yescharacteristic, complemented
95#17988925C2211yescharacteristic, complemented
96#17988919C2211yescharacteristic, complemented
97#17988913C2211yescharacteristic, complemented
98#17988902C2211yescharacteristic, complemented
99#17988890C2211yescharacteristic, complemented
100#17988886C2211yescharacteristic, complemented
101#17988876C2211yescharacteristic, complemented
102#17988866C2211yescharacteristic, complemented
103#17988846C2211yescharacteristic, complemented
104#17988843C2211yescharacteristic, complemented
105#17988843C2211yescharacteristic, complemented
106#17988839C2211yescharacteristic, complemented
107#17988834C2211yescharacteristic, complemented
108#17988832C2211yescharacteristic, complemented
109#17988829C2211yescharacteristic, complemented
110#17988827C2211yescharacteristic, complemented
111#17988826C2211yescharacteristic, complemented
112#17988826C2211yescharacteristic, complemented
113#17988819C2211yescharacteristic, complemented
114#17988817C2211yescharacteristic, complemented
115#17988812C2211yescharacteristic, complemented
116#17988812C2211yescharacteristic, complemented
117#17988811C2211yescharacteristic, complemented
118#17988804C2211yescharacteristic, complemented
119#17988801C2211yescharacteristic, complemented
120#17988801C2211yescharacteristic, complemented
121#17988796C2211yescharacteristic, complemented
122#17988796C2211yescharacteristic, complemented
123#17988795C2211yescharacteristic, complemented
124#17988791C2211yescharacteristic, complemented
125#17988791C2211yescharacteristic, complemented
126#17988790C2211yescharacteristic, complemented
127#17988752C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic, complemented
129#17988752C2211yescharacteristic, complemented
130#17988752C2211yescharacteristic, complemented
131#17988751C2211yescharacteristic
132#17988751C2211yescharacteristic
133#17988751C2211yescharacteristic, complemented
134#17988751C2211yescharacteristic, complemented
135#17988750C2211yescharacteristic, complemented
136#17988748C2211yescharacteristic, complemented
137#17988748C2211yescharacteristic, complemented
138#17988747C2211yescharacteristic
139#17988747C2211yescharacteristic, complemented
140#17988744C2211yescharacteristic, complemented
141#17988743C2211yescharacteristic, complemented
142#17988743C2211yescharacteristic, complemented
143#17988742C2211yescharacteristic, complemented
144#17988742C2211yescharacteristic, complemented
145#17988740C2211yescharacteristic
146#17988740C2211yescharacteristic
147#17988740C2211yescharacteristic, complemented
148#17988740C2211yescharacteristic, complemented
149#17988737C2211yescharacteristic
150#17988737C2211yescharacteristic, complemented
151#17988733C2211yescharacteristic, complemented
152#17988731C2211yescharacteristic, complemented
153#17988731C2211yescharacteristic, complemented
154#17988730C2211yescharacteristic
155#17988730C2211yescharacteristic, complemented
156#17988727C2211yescharacteristic, complemented
157#17988720C2211yescharacteristic
158#17988720C2211yescharacteristic, complemented
159#17988696C2211yescharacteristic, complemented
160#17988690C2211yescharacteristic, complemented
161#17988686C2211yescharacteristic, complemented
162#17988686C2211yescharacteristic, complemented
163#17988674C2211yescharacteristic, complemented
164#17988674C2211yescharacteristic, complemented
165#17988672C2211yescharacteristic, complemented
166#17988667C2211yescharacteristic, complemented
167#17988663C2211yescharacteristic, complemented
168#17988662C2211yescharacteristic, complemented
169#17988661C2211yescharacteristic, complemented
170#17988658C2211yescharacteristic, complemented
171#17988656C2211yescharacteristic, complemented
172#17988655C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic, complemented
174#17988650C2211yescharacteristic, complemented
175#17988645C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988593C2211yescharacteristic, complemented
178#17988587C2211yescharacteristic, complemented
179#17988587C2211yescharacteristic, complemented
180#17988586C2211yescharacteristic, complemented
181#17988584C2211yescharacteristic, complemented
182#17988582C2211yescharacteristic, complemented
183#17988582C2211yescharacteristic, complemented
184C2×#14556511C2211yescharacteristic, complemented
185#17988554C2211yescharacteristic
186#17988549C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188#537×C73C2211yescharacteristic
189#536×C73C2211yescharacteristic
190#485×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#483×C73C2211yescharacteristic, complemented
193#482×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#467×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#452×C73C2211yescharacteristic, complemented
200#451×C73C2211yescharacteristic, complemented
201#448×C73C2211yescharacteristic, complemented
202#408×C73C2211yescharacteristic
203#14556637—42no—
204#14556637—42no—
205C2×#11924029—21no—
206C2×#11924029—21no—
207C2×#11924029—21no—
208C2×#11924029—42no—
209C2×#11924029—42no—
210C2×#11924029C2311yescharacteristic
211C2×#11924029C2311yescharacteristic
212C2×#11924029C2311yescharacteristic
213C2×#11924029C2311yescharacteristic
214C2×#11924028C2311yescharacteristic
215C2×#11924028C2311yescharacteristic
216C2×#11924028C2311yescharacteristic
217C2×#11924027C2311yescharacteristic
218C22×Dic146C2311yescharacteristic
219C2×Q8×D73C2311yescharacteristic
220C22×D292—21no—
221C22×D292C2311yescharacteristic
222C22×D292C2311yescharacteristic
223C22×D292C2311yescharacteristic
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C22×C4×D73—21no—
228C22×C4×D73C2311yescharacteristic
229#14556624—42no—
230#14556623—42no—
231#14556623—42no—
232#14556616—42no—
233#14556612—42no—
234#14556612—42no—
235#14556611—42no—
236C2×Dic292C2311yescharacteristic
237C2×Dic292C2311yescharacteristic
238C2×#11924018C2311yescharacteristic
239C2×#11924018C2311yescharacteristic
240C2×#11924018C2311yescharacteristic
241C2×#11924018C2311yescharacteristic
242C2×#11924018C2311yescharacteristic
243C2×#11924017—42no—
244C2×#11924017C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924017C2311yescharacteristic
248C2×#11924017C2311yescharacteristic
249C2×#11924017C2311yescharacteristic
250C2×#11924016C2311yescharacteristic
251C2×#11924015C2311yescharacteristic
252C2×#11924015C2311yescharacteristic
253C2×#11924015C2311yescharacteristic
254C2×#11924013C2311yescharacteristic
255C2×#11924013C2311yescharacteristic
256C2×#11924013C2311yescharacteristic
257C2×#11924012C2311yescharacteristic
258C2×#11924011C2311yescharacteristic
259C2×#11924011C2311yescharacteristic
260C22×#10596831C2311yescharacteristic
261C2×C8×D73C2311yescharacteristic
262C2×C8×D73C2311yescharacteristic
263#14556590—21no—
264#14556590C2311yescharacteristic
265#14556589—21no—
266#14556589C2311yescharacteristic
267#14556589C2311yescharacteristic
268#14556589C2311yescharacteristic
269#14556586—21no—
270#14556586—21no—
271#14556584—21no—
272#14556584—21no—
273#14556584—21no—
274#14556584—21no—
275#14556584—21no—
276#14556582—21no—
277#14556582C2311yescharacteristic
278#14556581—21no—
279#14556581—21no—
280#14556581—21no—
281#14556580C2311yescharacteristic
282#14556580C2311yescharacteristic
283#14556578—21no—
284#14556578—21no—
285#14556578—21no—
286#14556578C2311yescharacteristic
287#14556577—21no—
288#14556577—21no—
289#14556576—21no—
290#14556576—21no—
291#14556576—21no—
292#14556576—21no—
293#14556576—21no—
294#14556576—21no—
295#14556576—21no—
296#14556576—21no—
297#14556575—21no—
298#14556574—21no—
299#14556574—21no—
300#14556574—21no—
301#14556574—21no—
302#14556573—21no—
303#14556573—21no—
304#14556573—21no—
305#14556573—21no—
306#14556573—21no—
307#14556572—21no—
308#14556572—21no—
309#14556572—21no—
310#14556572—21no—
311#14556572—21no—
312#14556572D411yescharacteristic
313#14556572D411yescharacteristic
314#14556571C2311yescharacteristic
315#14556571C2311yescharacteristic
316#14556571C2311yescharacteristic
317#14556571C2311yescharacteristic
318#14556570—21no—
319#14556570—21no—
320#14556570C2311yescharacteristic
321#14556570C2311yescharacteristic
322#14556570C2311yescharacteristic
323#14556570C2311yescharacteristic
324#14556569—21no—
325#14556569—21no—
326#14556569—21no—
327#14556568—21no—
328#14556568—21no—
329#14556568—21no—
330#14556568—21no—
331#14556567—21no—
332#14556567—21no—
333#14556567D411yescharacteristic
334#14556567D411yescharacteristic
335#14556567C2311yescharacteristic
336#14556566—21no—
337#14556566—21no—
338#14556566—21no—
339#14556566—21no—
340#14556566C2311yescharacteristic
341#14556566C2311yescharacteristic
342#14556564—21no—
343#14556564—21no—
344#14556564—21no—
345#14556564—21no—
346#14556563—21no—
347#14556563—21no—
348#14556562—21no—
349#14556562—21no—
350#14556562D411yescharacteristic
351#14556562D411yescharacteristic
352#14556562C2311yescharacteristic
353#14556561—21no—
354#14556561—21no—
355#14556561—21no—
356#14556561—21no—
357#14556561—21no—
358#14556559—21no—
359#14556559D411yescharacteristic
360#14556559D411yescharacteristic
361Q8×Dic73C2311yescharacteristic
362#14556556—21no—
363#14556556C2311yescharacteristic
364#14556556C2311yescharacteristic
365C4×D292—21no—
366C4×D292—21no—
367C4×D292—21no—
368C4×D292—21no—
369D4×Dic73—21no—
370D4×Dic73—21no—
371D4×Dic73C2311yescharacteristic
372#14556553C2311yescharacteristic
373#14556553C2311yescharacteristic
374#14556553C2311yescharacteristic
375#14556553C2311yescharacteristic
376C4×C22⋊D73—21no—
377C4×C22⋊D73—21no—
378C4×C22⋊D73C2311yescharacteristic
379C4×C22⋊D73C2311yescharacteristic
380C4×C22⋊D73C2311yescharacteristic
381C4×C22⋊D73C2311yescharacteristic
382#14556551—21no—
383#14556551—21no—
384#14556551—21no—
385#14556550—21no—
386#14556550C2311yescharacteristic
387#14556550C2311yescharacteristic
388#14556549C2311yescharacteristic
389C2×#11924007—21no—
390C4⋊C4×D73—21no—
391C4⋊C4×D73—21no—
392C4⋊C4×D73—21no—
393C4⋊C4×D73—21no—
394C4⋊C4×D73—21no—
395C4⋊C4×D73C2311yescharacteristic
396C22⋊C4×D73—21no—
397C22⋊C4×D73—21no—
398C22⋊C4×D73—21no—
399C22⋊C4×D73—21no—
400C22⋊C4×D73—21no—
401C22⋊C4×D73—21no—
402C22⋊C4×D73—21no—
403#14556524C2311yescharacteristic
404#14556524C2311yescharacteristic
405#14556522C2311yescharacteristic
406#14556522C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556513C2311yescharacteristic
428#14556513C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437C22⋊#10596831C2311yescharacteristic
438C22⋊#10596831C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556501C2311yescharacteristic
444#14556501C2311yescharacteristic
445C8×Dic73C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C22×Q8×C73C2311yescharacteristic
450C2×Q16×C73C2311yescharacteristic
451C2×Q16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456C4⋊Q8×C73—21no—
457#124×C73—21no—
458#123×C73—21no—
459#123×C73—21no—
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73C2311yescharacteristic
462C22⋊Q8×C73C2311yescharacteristic
463C22⋊Q8×C73C2311yescharacteristic
464C22⋊Q8×C73C2311yescharacteristic
465C22⋊Q8×C73C2311yescharacteristic
466C22⋊Q8×C73C2311yescharacteristic
467#121×C73—21no—
468#121×C73—21no—
469#121×C73—21no—
470#121×C73C2311yescharacteristic
471#121×C73C2311yescharacteristic
472#117×C73C2311yescharacteristic
473C2×C4⋊C4×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475#107×C73C2311yescharacteristic
476#106×C73C2311yescharacteristic
477#106×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#103×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C22⋊C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73C2×D411yescharacteristic
494#11924029—22no—
495#11924029—22no—
496#11924029—22no—
497#11924029—22no—
498#11924029—41no—
499#11924029—41no—
500#11924029—41no—
501#11924029—41no—
502#11924029—44no—
503#11924029—44no—
504#11924029—44no—
505#11924028—22no—
506#11924028—22no—
507#11924028—41no—
508#11924028—41no—
509#11924028—41no—
510#11924028—41no—
511#11924027—41no—
512#11924027—41no—
513C2×Dic146—21no—
514C2×Dic146—21no—
515C2×Dic146—21no—
516C2×Dic146—41no—
517C2×Dic146—41no—
518C2×Dic146C2411yescharacteristic
519C2×Dic146C2411yescharacteristic
520C2×Dic146C2411yescharacteristic
521Q8×D73—41no—
522Q8×D73—41no—
523C2×D292—21no—
524C2×D292—22no—
525C2×D292—22no—
526C2×D292—22no—
527C2×D292—22no—
528C2×D292—21no—
529C2×D292—21no—
530C2×D292—21no—
531C2×D292—21no—
532C2×D292—21no—
533C2×D292—21no—
534C2×D292—21no—
535C2×D292—21no—
536C2×D292—41no—
537C2×D292—41no—
538C2×D292—44no—
539C2×D292C2411yescharacteristic
540C2×D292C2411yescharacteristic
541C2×D292C2411yescharacteristic
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73C2×D411yescharacteristic
548C2×C22⋊D73C2×D411yescharacteristic
549C2×C22⋊D73C2×D411yescharacteristic
550C2×C22⋊D73C2×D411yescharacteristic
551D4×D73—44no—
552D4×D73—44no—
553D4×D73—44no—
554C22×Dic73—21no—
555C22×Dic73—21no—
556C22×Dic73—21no—
557C22×Dic73C2×D411yescharacteristic
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—21no—
564C2×C4×D73—21no—
565C2×C4×D73—21no—
566C2×C4×D73—21no—
567C2×C4×D73—21no—
568C2×C4×D73—21no—
569C2×C4×D73—21no—
570C2×C4×D73—21no—
571C2×C4×D73—41no—
572C2×C4×D73—41no—
573C2×C4×D73—44no—
574C2×C4×D73C2×D411yescharacteristic
575C2×C4×D73C2×D411yescharacteristic
576C2×C4×D73C2411yescharacteristic
577C2×C4×D73C2411yescharacteristic
578Dic292—41no—
579Dic292—41no—
580#11924018—41no—
581#11924018—41no—
582#11924018—41no—
583#11924018—41no—
584#11924018—41no—
585#11924017—22no—
586#11924017—22no—
587#11924017—22no—
588#11924017—22no—
589#11924017—41no—
590#11924017—41no—
591#11924016—41no—
592#11924015—22no—
593#11924015—22no—
594#11924015—41no—
595#11924013—22no—
596#11924013—22no—
597#11924013—41no—
598#11924012—41no—
599#11924011—41no—
600#11924011—41no—
601C2×#10596831—41no—
602C2×#10596831C2411yescharacteristic
603C2×#10596831C2411yescharacteristic
604C2×#10596831C2411yescharacteristic
605C2×#10596831C2411yescharacteristic
606C8×D73—41no—
607C8×D73—41no—
608C4⋊Dic73—21no—
609C4⋊Dic73—21no—
610C4⋊Dic73—21no—
611C4⋊Dic73—21no—
612C4⋊Dic73—21no—
613C4⋊Dic73—21no—
614C4⋊Dic73C2×D411yescharacteristic
615C4⋊Dic73C2×D411yescharacteristic
616C4⋊Dic73C2411yescharacteristic
617C4⋊Dic73C2411yescharacteristic
618#11924007—21no—
619#11924007—21no—
620#11924007—21no—
621#11924007—21no—
622#11924007—21no—
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007—21no—
633#11924007—21no—
634#11924007C2×D411yescharacteristic
635#11924007C2×D411yescharacteristic
636#11924007C2×D411yescharacteristic
637#11924007C2×D411yescharacteristic
638C22⋊Dic73—21no—
639C22⋊Dic73—21no—
640C22⋊Dic73—21no—
641C22⋊Dic73—21no—
642C22⋊Dic73—21no—
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645C22⋊Dic73—21no—
646C22⋊Dic73—21no—
647C22⋊Dic73C2×D411yescharacteristic
648C22⋊Dic73C2×D411yescharacteristic
649C22⋊Dic73C2×D411yescharacteristic
650C22⋊Dic73C2×D411yescharacteristic
651C22⋊Dic73C2×D411yescharacteristic
652C22⋊Dic73C2×D411yescharacteristic
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005C2×D411yescharacteristic
670#11924005C2×D411yescharacteristic
671#11924005C2×D411yescharacteristic
672#11924005C2×D411yescharacteristic
673C4×Dic73—21no—
674C4×Dic73—21no—
675C4×Dic73—21no—
676C4×Dic73—21no—
677C4×Dic73—21no—
678C4×Dic73C2411yescharacteristic
679C4×Dic73C2411yescharacteristic
680#41×C73—41no—
681#41×C73—41no—
682#41×C73—41no—
683#41×C73—41no—
684C2×Q8×C73—21no—
685C2×Q8×C73—41no—
686C2×Q8×C73—41no—
687C2×Q8×C73C2×D411yescharacteristic
688C2×Q8×C73C2411yescharacteristic
689C2×Q8×C73C2411yescharacteristic
690C2×Q8×C73C2411yescharacteristic
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73C2×D411yescharacteristic
695C2×D4×C73C2×D411yescharacteristic
696C2×D4×C73C2×D411yescharacteristic
697C2×D4×C73C2411yescharacteristic
698C22×C4×C73—21no—
699C22×C4×C73—21no—
700C22×C4×C73—21no—
701C22×C4×C73C2411yescharacteristic
702C22×C4×C73C2411yescharacteristic
703C22×C4×C73C2411yescharacteristic
704Q16×C73—41no—
705Q16×C73—41no—
706SD16×C73—41no—
707SD16×C73—41no—
708M16×C73—41no—
709C2×C8×C73—41no—
710C2×C8×C73C2411yescharacteristic
711C2×C8×C73C2411yescharacteristic
712C2×C8×C73C2411yescharacteristic
713C2×C8×C73C2411yescharacteristic
714C4⋊C4×C73—21no—
715C4⋊C4×C73—21no—
716C4⋊C4×C73—21no—
717C4⋊C4×C73—21no—
718C4⋊C4×C73—21no—
719C4⋊C4×C73—21no—
720C4⋊C4×C73—21no—
721C4⋊C4×C73C2411yescharacteristic
722C4⋊C4×C73C2411yescharacteristic
723C4⋊C4×C73C2411yescharacteristic
724C4⋊C4×C73C2411yescharacteristic
725C22⋊C4×C73—21no—
726C22⋊C4×C73—21no—
727C22⋊C4×C73—21no—
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C42×C73—21no—
735C23×C73—21no—
736C23×C73C22×D411yescharacteristic
737C23×C73C22×D411yescharacteristic
738C23×C73C22×D411yescharacteristic
739C22×D73—21no—
740C22×D73—21no—
741C22×D73—24no—
742C22×D73—21no—
743C22×D73—41no—
744C22×D73—41no—
745C22×D73—41no—
746C22×D73—42no—
747C22×D73—42no—
748C22×D73—81no—
749C22×D73—81no—
750C22×D73—81no—
751C22×D73—81no—
752C22×D73—81no—
753C22×D73—81no—
754C22×D73C22×D411yescharacteristic
755C22×D73C22×D411yescharacteristic
756Q8×C73—21no—
757Q8×C73—21no—
758Q8×C73—21no—
759Q8×C73—21no—
760Q8×C73—21no—
761Q8×C73—21no—
762Q8×C73—41no—
763Q8×C73—42no—
764D4×C73—21no—
765D4×C73—21no—
766D4×C73—41no—
767D4×C73—41no—
768D4×C73—41no—
769D4×C73—81no—
770D4×C73—81no—
771D4×C73—81no—
772C2×C4×C73—21no—
773C2×C4×C73—21no—
774C2×C4×C73—21no—
775C2×C4×C73—21no—
776C2×C4×C73—21no—
777C2×C4×C73—21no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—42no—
786C2×C4×C73—81no—
787C2×C4×C73—81no—
788C2×C4×C73C22×D411yescharacteristic
789C2×C4×C73C22×D411yescharacteristic
790C2×C4×C73C22×D411yescharacteristic
791C2×C4×C73C2511yescharacteristic
792C22⋊D73—41no—
793C22⋊D73—41no—
794C22⋊D73—41no—
795C22⋊D73—41no—
796C22⋊D73—42no—
797C22⋊D73—42no—
798C22⋊D73—42no—
799C22⋊D73—42no—
800C22⋊D73—81no—
801C2×Dic73—21no—
802C2×Dic73—21no—
803C2×Dic73—21no—
804C2×Dic73—21no—
805C2×Dic73—21no—
806C2×Dic73—41no—
807C2×Dic73—81no—
808C2×Dic73—81no—
809C2×Dic73—81no—
810C2×Dic73C22×D411yescharacteristic
811C2×Dic73C22×D411yescharacteristic
812C2×Dic73C22×D411yescharacteristic
813C2×Dic73C22×D411yescharacteristic
814C2×Dic73C22×D411yescharacteristic
815C2×Dic73C22×D411yescharacteristic
816D292—24no—
817D292—21no—
818D292—21no—
819D292—21no—
820D292—21no—
821D292—42no—
822D292—42no—
823D292—42no—
824D292—42no—
825D292—42no—
826D292—42no—
827D292—81no—
828D292—81no—
829D292H(5,𝔽2)12yes—
830D292H(5,𝔽2)12yes—
831C4×D73—21no—
832C4×D73—21no—
833C4×D73—21no—
834C4×D73—21no—
835C4×D73—41no—
836C4×D73—41no—
837C4×D73—42no—
838C4×D73—42no—
839C4×D73—42no—
840C4×D73—42no—
841C4×D73—42no—
842C4×D73—42no—
843C4×D73—42no—
844C4×D73—81no—
845C4×D73—81no—
846C4×D73—81no—
847C4×D73—81no—
848C4×D73—81no—
849C4×D73—81no—
850Dic146—21no—
851Dic146—21no—
852Dic146—21no—
853Dic146—21no—
854Dic146—21no—
855Dic146—21no—
856Dic146—81no—
857Dic146—81no—
858Dic146—81no—
859C8×C73—21no—
860C8×C73—21no—
861C8×C73—21no—
862C8×C73—21no—
863#10596831—21no—
864#10596831—21no—
865#10596831—21no—
866#10596831—21no—
867C22×C73—21no—
868C22×C73—21no—
869C22×C73—21no—
870C22×C73—21no—
871C22×C73—21no—
872C22×C73—21no—
873C22×C73—21no—
874C22×C73—21no—
875C22×C73—21no—
876C22×C73—41no—
877C22×C73—41no—
878C22×C73—41no—
879C22×C73C23×D411yescharacteristic
880C2×D73—21no—
881C2×D73—21no—
882C2×D73—21no—
883C2×D73—21no—
884C2×D73—21no—
885C2×D73—21no—
886C2×D73—22no—
887C2×D73—22no—
888C2×D73—41no—
889C2×D73—41no—
890C2×D73—41no—
891C2×D73—41no—
892C2×D73—41no—
893C2×D73—41no—
894C2×D73—41no—
895C2×D73—84no—
896C2×D73—82no—
897C2×D73—162no—
898C2×D73—162no—
899C4×C73—21no—
900C4×C73—21no—
901C4×C73—21no—
902C4×C73—41no—
903C4×C73—41no—
904C4×C73—41no—
905C4×C73—41no—
906C4×C73—41no—
907C4×C73—41no—
908C4×C73—41no—
909C4×C73C2×H(5,𝔽2)11yescharacteristic
910C4×C73C2×H(5,𝔽2)11yescharacteristic
911Dic73—21no—
912Dic73—21no—
913Dic73—21no—
914Dic73—21no—
915Dic73—21no—
916Dic73—21no—
917Dic73—41no—
918Dic73—41no—
919Dic73—41no—
920Dic73—41no—
921Dic73—41no—
922#61613—731nomaximal, Sylow
923C2×C73—41no—
924C2×C73—41no—
925C2×C73—41no—
926C2×C73—81no—
927C2×C73#348411yescharacteristic
928C2×C73#358411yescharacteristic
929C2×C73#358611yescharacteristic
930D73—41no—
931D73—41no—
932D73—42no—
933D73—42no—
934D73—81no—
935#3541—731no—
936#3485—731no—
937#3331—731no—
938#3322—731no—
939#3315—731no—
940#3314—731no—
941#3311—731no—
942#3307—731no—
943#3302—731no—
944#3296—731no—
945#3283—731no—
946#3282—731no—
947#3276—731no—
948#3275—731no—
949#3269—731no—
950#3269—731no—
951#3267—731no—
952#3266—731no—
953#3225—731no—
954#3223—731no—
955#3202—731no—
956#3201D7311yescharacteristic, complemented
957#3197—731no—
958#3190—731no—
959#3123—731no—
960#3118—731no—
961#3012—731no—
962#3009—731no—
963#3007—731no—
964#3002—731no—
965#2976—731no—
966C73#6161311yescharacteristic, complemented, Sylow
967C2×H(5,𝔽2)—731no—
968C22×#41—731no—
969C2×#137—731no—
970C2×#137—731no—
971C2×#137—731no—
972C2×AGL(1,ℤ/8)—731no—
973C2×#135—731no—
974C2×#135—731no—
975C2×#135—731no—
976C22×SD16—731no—
977#563—1461no—
978#562—1461no—
979#556—731no—
980#554—731no—
981#554—1461no—
982#553—731no—
983#553—1461no—
984#552—731no—
985D4×Q8—731no—
986#548—731no—
987#548—731no—
988#547—731no—
989#547—731no—
990#547—731no—
991#547—731no—
992#547—731no—
993#547—1461no—
994#547—1461no—
995#546—731no—
996#546—731no—
997#546—731no—
998#546—731no—
999#546—1461no—
1000#546—1461no—
1001#542—731no—
1002#542—1461no—
1003#541—731no—
1004#539—1461no—
1005#538—1461no—
1006#538—1461no—
1007#537C2×D7311yescharacteristic
1008#536—731no—
1009#536—731no—
1010#536C2×D7311yescharacteristic
1011#534—1461no—
1012#534—1461no—
1013#525—731no—
1014#525—731no—
1015#525—731no—
1016C2×#123—1461no—
1017C2×#123—1461no—
1018C2×C22⋊Q8—731no—
1019#518—731no—
1020#497—731no—
1021#497—731no—
1022#495—731no—
1023#494—731no—
1024#491—731no—
1025#489—731no—
1026#488—731no—
1027#487—731no—
1028#485—731no—
1029#485—731no—
1030#485—731no—
1031#485—731no—
1032#485—731no—
1033#485C2×D7311yescharacteristic, complemented
1034#484C2×D7311yescharacteristic, complemented
1035#483—731no—
1036#483C2×D7311yescharacteristic, complemented
1037#482—731no—
1038#482C2×D7311yescharacteristic, complemented
1039#480—731no—
1040#478—731no—
1041#478—731no—
1042#476—731no—
1043#474—731no—
1044#470—731no—
1045#470—731no—
1046#470—731no—
1047#470C2×D7311yescharacteristic, complemented
1048#469—731no—
1049#468—731no—
1050#468—731no—
1051#468C2×D7311yescharacteristic, complemented
1052#467—731no—
1053#467—731no—
1054#467—731no—
1055#467—731no—
1056#467C2×D7311yescharacteristic, complemented
1057#465—731no—
1058#465—731no—
1059#465C2×D7311yescharacteristic, complemented
1060#464—731no—
1061#464—731no—
1062#464—731no—
1063#463—731no—
1064#463—731no—
1065#463—731no—
1066#462—731no—
1067#462—731no—
1068#462—731no—
1069#461—731no—
1070#461—731no—
1071#461—731no—
1072#452—731no—
1073#452—731no—
1074#452—731no—
1075#452—731no—
1076#452—731no—
1077#452—731no—
1078#452—731no—
1079#452—731no—
1080#452—731no—
1081#452—731no—
1082#452—731no—
1083#452—731no—
1084#452—731no—
1085#452C2×D7311yescharacteristic, complemented
1086#452C2×D7311yescharacteristic, complemented
1087#451—731no—
1088#451—731no—
1089#451—731no—
1090#451—731no—
1091#451—731no—
1092#451C2×D7311yescharacteristic, complemented
1093#450—731no—
1094#450—731no—
1095#450—731no—
1096#450—731no—
1097#450—731no—
1098#450—731no—
1099#449—731no—
1100#449—731no—
1101#449—731no—
1102#449—731no—
1103#449—731no—
1104#448—731no—
1105#448C2×D7311yescharacteristic, complemented
1106#447—731no—
1107#447—731no—
1108#442—731no—
1109#440—731no—
1110#440—731no—
1111#440—731no—
1112C4×SD16—731no—
1113C4×SD16—731no—
1114C4×SD16—731no—
1115C4×D8—731no—
1116#436—731no—
1117#436—731no—
1118#435—731no—
1119#435—731no—
1120#435—731no—
1121#435—731no—
1122C8×D4—731no—
1123C8×D4—731no—
1124#433—731no—
1125#433—731no—
1126#418—731no—
1127#417—731no—
1128#417—731no—
1129#417—731no—
1130#416—731no—
1131#416—731no—
1132#416—731no—
1133C2×#102—731no—
1134#408—731no—
1135#408C2×D7311yescharacteristic
1136#407—731no—
1137C2×C22⋊C8—731no—
1138H(5,𝔽2)—2922no—
1139H(5,𝔽2)—2922no—
1140C2×#41—2922no—
1141C2×#41—2922no—
1142C2×#41—731no—
1143C2×#41—731no—
1144C2×#41—731no—
1145C2×#41—731no—
1146C2×#41—731no—
1147C2×#41—731no—
1148C2×#41—731no—
1149C2×#41—731no—
1150C2×#41—1461no—
1151C2×#41—1461no—
1152C2×#41—1461no—
1153C2×#41C22×D7311yescharacteristic
1154C2×#41C22×D7311yescharacteristic
1155C22×Q8—731no—
1156C22×Q8—731no—
1157C22×Q8C22×D7311yescharacteristic
1158C22×D4—731no—
1159C22×D4—731no—
1160C22×D4—731no—
1161C22×D4—1461no—
1162C22×D4—1461no—
1163C22×D4—1461no—
1164C22×D4—1461no—
1165C23×C4—731no—
1166C23×C4—1461no—
1167#137—2922no—
1168#137—2922no—
1169#137—2922no—
1170AGL(1,ℤ/8)—2922no—
1171#135—2922no—
1172#135—2922no—
1173#135—2922no—
1174C2×Q16—731no—
1175C2×Q16—731no—
1176C2×Q16—731no—
1177C2×Q16—731no—
1178C2×Q16—731no—
1179C2×Q16—731no—
1180C2×Q16—731no—
1181C2×Q16C22×D7311yescharacteristic
1182C2×Q16C22×D7311yescharacteristic
1183C2×SD16—2922no—
1184C2×SD16—731no—
1185C2×SD16—731no—
1186C2×SD16—731no—
1187C2×SD16—731no—
1188C2×SD16—731no—
1189C2×SD16—731no—
1190C2×SD16—731no—
1191C2×SD16—731no—
1192C2×SD16—731no—
1193C2×SD16—731no—
1194C2×SD16C22×D7311yescharacteristic
1195C2×SD16C22×D7311yescharacteristic
1196C2×D8—731no—
1197C2×D8—731no—
1198C2×D8—731no—
1199C2×M16—731no—
1200C2×M16—731no—
1201C2×M16—731no—
1202C2×M16C22×D7311yescharacteristic
1203C22×C8—731no—
1204C22×C8—731no—
1205C22×C8—731no—
1206C22×C8C22×D7311yescharacteristic
1207C4⋊Q8—21no—
1208C4⋊Q8—731no—
1209C4⋊Q8—731no—
1210C4⋊Q8—731no—
1211C4⋊Q8—731no—
1212C4⋊Q8—1461no—
1213C4⋊Q8—1461no—
1214#126—1461no—
1215#126—1461no—
1216#126—1461no—
1217#126—1461no—
1218#126—1461no—
1219#126—1461no—
1220#126—1461no—
1221#125—731no—
1222#125—1461no—
1223#125—1461no—
1224#125—1461no—
1225#125—1461no—
1226#124—21no—
1227#124—731no—
1228#124—731no—
1229#124—731no—
1230#124—1461no—
1231#124—1461no—
1232#124—1461no—
1233#124—1461no—
1234#124—1461no—
1235#123—21no—
1236#123—21no—
1237#123—731no—
1238#123—731no—
1239#123—1461no—
1240#123—1461no—
1241#123—1461no—
1242#123—1461no—
1243#123—1461no—
1244#123—1461no—
1245#123—1461no—
1246#123—1461no—
1247#123—1461no—
1248#123—1461no—
1249#123—1461no—
1250#123—1461no—
1251#123—1461no—
1252#123—1461no—
1253#123—1461no—
1254#123—1461no—
1255#123—1461no—
1256#123—1461no—
1257#123—1461no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261#123—1461no—
1262C22⋊Q8—21no—
1263C22⋊Q8—731no—
1264C22⋊Q8—731no—
1265C22⋊Q8—731no—
1266C22⋊Q8—731no—
1267C22⋊Q8—731no—
1268C22⋊Q8—731no—
1269C22⋊Q8—731no—
1270C22⋊Q8—731no—
1271C22⋊Q8—731no—
1272C22⋊Q8—731no—
1273C22⋊Q8—731no—
1274C22⋊Q8—1461no—
1275C22⋊Q8—1461no—
1276C22⋊Q8—1461no—
1277C22⋊Q8—1461no—
1278C22⋊Q8—1461no—
1279C22⋊Q8—1461no—
1280C22⋊Q8—1461no—
1281C22⋊Q8—1461no—
1282C22⋊Q8—1461no—
1283C22⋊Q8—1461no—
1284C22⋊Q8—1461no—
1285C22⋊Q8C22×D7311yescharacteristic
1286C22⋊Q8C22×D7311yescharacteristic
1287C22⋊Q8C22×D7311yescharacteristic
1288C22⋊Q8C22×D7311yescharacteristic
1289C22⋊Q8C22×D7311yescharacteristic
1290C22⋊Q8C22×D7311yescharacteristic
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—731no—
1295#121—731no—
1296#121—731no—
1297#121—731no—
1298#121—731no—
1299#121—1461no—
1300#121—1461no—
1301#121—1461no—
1302#121—1461no—
1303#121—1461no—
1304#121—1461no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121C22×D7311yescharacteristic
1312#121C22×D7311yescharacteristic
1313#120—731no—
1314#120—731no—
1315#120—1461no—
1316#120—1461no—
1317#120—1461no—
1318#120—1461no—
1319#120—1461no—
1320#120—1461no—
1321C4×Q8—731no—
1322C4×Q8—731no—
1323C4×Q8—731no—
1324C4×Q8—1461no—
1325C4×D4—731no—
1326C4×D4—731no—
1327C4×D4—731no—
1328C4×D4—731no—
1329C4×D4—731no—
1330C4×D4—731no—
1331C4×D4—731no—
1332C4×D4—731no—
1333C4×D4—731no—
1334C4×D4—1461no—
1335C4×D4—1461no—
1336C4×D4—1461no—
1337C4×D4—1461no—
1338C4×D4—1461no—
1339C4×D4—1461no—
1340C4×D4—1461no—
1341C4×D4—1461no—
1342C4×D4—1461no—
1343C4×D4—1461no—
1344C4×D4—1461no—
1345#117—731no—
1346#117—731no—
1347#117—731no—
1348#117—1461no—
1349#117C22×D7311yescharacteristic
1350C2×C4⋊C4—731no—
1351C2×C4⋊C4—1461no—
1352C2×C4⋊C4—1461no—
1353C2×C4⋊C4—1461no—
1354C2×C4⋊C4—1461no—
1355C2×C4⋊C4—1461no—
1356C2×C4⋊C4—1461no—
1357C2×C4⋊C4C22×D7311yescharacteristic
1358C2×C22⋊C4—1461no—
1359C2×C22⋊C4—1461no—
1360C2×C22⋊C4—1461no—
1361C2×C22⋊C4—1461no—
1362C2×C22⋊C4—1461no—
1363C2×C22⋊C4—1461no—
1364C2×C22⋊C4—1461no—
1365#107—731no—
1366#107—731no—
1367#107C22×D7311yescharacteristic
1368#107C22×D7311yescharacteristic
1369#106—731no—
1370#106—731no—
1371#106C22×D7311yescharacteristic
1372#106C22×D7311yescharacteristic
1373C4⋊C8—731no—
1374C4⋊C8—731no—
1375C4⋊C8—731no—
1376C4⋊C8—731no—
1377#103—731no—
1378#103—731no—
1379#103—731no—
1380#103—731no—
1381#103—731no—
1382#103—731no—
1383#103—731no—
1384#103—731no—
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103—731no—
1389#103C22×D7311yescharacteristic
1390#103C22×D7311yescharacteristic
1391#103C22×D7311yescharacteristic
1392#103C22×D7311yescharacteristic
1393#103C22×D7311yescharacteristic
1394#103C22×D7311yescharacteristic
1395#102—731no—
1396#102—731no—
1397#102—731no—
1398#102—731no—
1399#102—731no—
1400#102—731no—
1401#102—731no—
1402#102—731no—
1403#102—731no—
1404#102—731no—
1405#102—731no—
1406#102—731no—
1407#102C22×D7311yescharacteristic
1408#102C22×D7311yescharacteristic
1409C22⋊C8—731no—
1410C22⋊C8—731no—
1411C22⋊C8—731no—
1412C22⋊C8—731no—
1413C22⋊C8—731no—
1414C22⋊C8—731no—
1415C22⋊C8—731no—
1416C22⋊C8—731no—
1417C22⋊C8C22×D7311yescharacteristic
1418C22⋊C8C22×D7311yescharacteristic
1419C22⋊C8C22×D7311yescharacteristic
1420C22⋊C8C22×D7311yescharacteristic
1421#97—731no—
1422#97—731no—
1423C4×C8—731no—
1424C4×C8—731no—
1425C24—731no—
1426C24—1461no—
1427C24—1461no—
1428C24—1461no—
1429#41—41no—
1430#41—41no—
1431#41—41no—
1432#41—41no—
1433#41—2921no—
1434#41—2921no—
1435#41—2921no—
1436#41—2921no—
1437#41—2924no—
1438#41—2924no—
1439#41—2924no—
1440#41—2921no—
1441#41—2921no—
1442#41—2921no—
1443#41—2921no—
1444#41—2921no—
1445#41—2921no—
1446#41—1462no—
1447#41—1462no—
1448#41—1462no—
1449#41—1462no—
1450#41—1462no—
1451#41—1462no—
1452C2×Q8—21no—
1453C2×Q8—41no—
1454C2×Q8—41no—
1455C2×Q8—2921no—
1456C2×Q8—2921no—
1457C2×Q8—2921no—
1458C2×Q8—2921no—
1459C2×Q8—731no—
1460C2×Q8—731no—
1461C2×Q8—731no—
1462C2×Q8—1461no—
1463C2×Q8—1461no—
1464C2×Q8—1461no—
1465C2×Q8D4×D7311yescharacteristic
1466C2×Q8C23×D7311yescharacteristic
1467C2×Q8C23×D7311yescharacteristic
1468C2×Q8C23×D7311yescharacteristic
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—2921no—
1473C2×D4—2921no—
1474C2×D4—2924no—
1475C2×D4—2924no—
1476C2×D4—2924no—
1477C2×D4—2924no—
1478C2×D4—731no—
1479C2×D4—731no—
1480C2×D4—731no—
1481C2×D4—731no—
1482C2×D4—731no—
1483C2×D4—731no—
1484C2×D4—731no—
1485C2×D4—1461no—
1486C2×D4—1461no—
1487C2×D4—1461no—
1488C2×D4—1461no—
1489C2×D4—1462no—
1490C2×D4—1462no—
1491C2×D4—1461no—
1492C2×D4—1461no—
1493C2×D4—1462no—
1494C2×D4—1462no—
1495C2×D4—1461no—
1496C2×D4—1461no—
1497C2×D4—1461no—
1498C2×D4—1461no—
1499C2×D4—1461no—
1500C2×D4—1461no—
1501C2×D4—1461no—
1502C2×D4—1461no—
1503C2×D4D4×D7311yescharacteristic
1504C2×D4D4×D7311yescharacteristic
1505C2×D4D4×D7311yescharacteristic
1506C2×D4C23×D7311yescharacteristic
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—2921no—
1511C22×C4—2921no—
1512C22×C4—2924no—
1513C22×C4—731no—
1514C22×C4—731no—
1515C22×C4—731no—
1516C22×C4—731no—
1517C22×C4—731no—
1518C22×C4—1461no—
1519C22×C4—1461no—
1520C22×C4—1461no—
1521C22×C4—1461no—
1522C22×C4—1461no—
1523C22×C4—1461no—
1524C22×C4—1461no—
1525C22×C4—1461no—
1526C22×C4—1461no—
1527C22×C4—1461no—
1528C22×C4—1461no—
1529C22×C4—1461no—
1530C22×C4—1461no—
1531C22×C4—1461no—
1532C22×C4—1461no—
1533C22×C4—1461no—
1534C22×C4C23×D7311yescharacteristic
1535C22×C4C23×D7311yescharacteristic
1536C22×C4C23×D7311yescharacteristic
1537Q16—41no—
1538Q16—41no—
1539Q16—2921no—
1540Q16—2921no—
1541Q16—2921no—
1542Q16—2921no—
1543Q16—2921no—
1544Q16—2921no—
1545Q16—2921no—
1546SD16—41no—
1547SD16—41no—
1548SD16—2921no—
1549SD16—2921no—
1550SD16—2921no—
1551SD16—2921no—
1552SD16—1462no—
1553SD16—1462no—
1554SD16—1462no—
1555SD16—1462no—
1556SD16—1462no—
1557SD16—1462no—
1558D8—2921no—
1559D8—1462no—
1560D8—1462no—
1561M16—41no—
1562M16—2921no—
1563M16—2921no—
1564M16—2921no—
1565C2×C8—41no—
1566C2×C8—2921no—
1567C2×C8—2921no—
1568C2×C8—2921no—
1569C2×C8—731no—
1570C2×C8—731no—
1571C2×C8—731no—
1572C2×C8—731no—
1573C2×C8C23×D7311yescharacteristic
1574C2×C8C23×D7311yescharacteristic
1575C2×C8C23×D7311yescharacteristic
1576C2×C8C23×D7311yescharacteristic
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—731no—
1585C4⋊C4—731no—
1586C4⋊C4—731no—
1587C4⋊C4—731no—
1588C4⋊C4—731no—
1589C4⋊C4—731no—
1590C4⋊C4—731no—
1591C4⋊C4—731no—
1592C4⋊C4—1461no—
1593C4⋊C4—1461no—
1594C4⋊C4—1461no—
1595C4⋊C4—1461no—
1596C4⋊C4—1461no—
1597C4⋊C4—1461no—
1598C4⋊C4—1461no—
1599C4⋊C4—1461no—
1600C4⋊C4—1461no—
1601C4⋊C4—1461no—
1602C4⋊C4—1461no—
1603C4⋊C4—1461no—
1604C4⋊C4—1461no—
1605C4⋊C4—1461no—
1606C4⋊C4—1461no—
1607C4⋊C4—1461no—
1608C4⋊C4—1461no—
1609C4⋊C4—1461no—
1610C4⋊C4—1461no—
1611C4⋊C4—1461no—
1612C4⋊C4—1461no—
1613C4⋊C4—1461no—
1614C4⋊C4C23×D7311yescharacteristic
1615C4⋊C4C23×D7311yescharacteristic
1616C4⋊C4C23×D7311yescharacteristic
1617C4⋊C4C23×D7311yescharacteristic
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—731no—
1628C22⋊C4—731no—
1629C22⋊C4—731no—
1630C22⋊C4—731no—
1631C22⋊C4—731no—
1632C22⋊C4—731no—
1633C22⋊C4—731no—
1634C22⋊C4—731no—
1635C22⋊C4—731no—
1636C22⋊C4—731no—
1637C22⋊C4—1461no—
1638C22⋊C4—1461no—
1639C22⋊C4—1461no—
1640C22⋊C4—1461no—
1641C22⋊C4—1461no—
1642C22⋊C4—1461no—
1643C22⋊C4—1461no—
1644C22⋊C4—1461no—
1645C22⋊C4—1461no—
1646C22⋊C4—1461no—
1647C22⋊C4—1461no—
1648C22⋊C4—1461no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C42—21no—
1663C42—731no—
1664C42—731no—
1665C42—1461no—
1666C42—1461no—
1667C42—1461no—
1668C42—1461no—
1669C42—1461no—
1670C23—21no—
1671C23—2922no—
1672C23—2922no—
1673C23—2921no—
1674C23—2921no—
1675C23—2921no—
1676C23—5841no—
1677C23—5841no—
1678C23—5841no—
1679C23—5841no—
1680C23—5841no—
1681C23—5841no—
1682C23—731no—
1683C23—731no—
1684C23—1464no—
1685C23—1461no—
1686C23—1461no—
1687C23—1461no—
1688C23C2×D4×D7311yescharacteristic
1689C23C2×D4×D7311yescharacteristic
1690C23C2×D4×D7311yescharacteristic
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—21no—
1695Q8—21no—
1696Q8—21no—
1697Q8—41no—
1698Q8—42no—
1699Q8—5841no—
1700Q8—5841no—
1701Q8—5841no—
1702Q8—1461no—
1703Q8—1461no—
1704Q8—1461no—
1705Q8—1461no—
1706Q8—1461no—
1707Q8—1461no—
1708D4—21no—
1709D4—21no—
1710D4—41no—
1711D4—41no—
1712D4—41no—
1713D4—81no—
1714D4—81no—
1715D4—81no—
1716D4—2922no—
1717D4—2922no—
1718D4—2922no—
1719D4—2922no—
1720D4—2922no—
1721D4—2922no—
1722D4—2922no—
1723D4—2922no—
1724D4—2922no—
1725D4—2922no—
1726D4—2921no—
1727D4—2921no—
1728D4—2921no—
1729D4—2921no—
1730D4—5841no—
1731D4—5841no—
1732D4—5841no—
1733D4—732no—
1734D4—732no—
1735D4—1464no—
1736D4—1461no—
1737D4—1461no—
1738D4—1461no—
1739D4—1461no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—42no—
1754C2×C4—81no—
1755C2×C4—81no—
1756C2×C4—2922no—
1757C2×C4—2922no—
1758C2×C4—2922no—
1759C2×C4—2921no—
1760C2×C4—2921no—
1761C2×C4—2922no—
1762C2×C4—2922no—
1763C2×C4—2922no—
1764C2×C4—2922no—
1765C2×C4—2921no—
1766C2×C4—5841no—
1767C2×C4—5841no—
1768C2×C4—5841no—
1769C2×C4—5841no—
1770C2×C4—5841no—
1771C2×C4—5841no—
1772C2×C4—5841no—
1773C2×C4—5841no—
1774C2×C4—5841no—
1775C2×C4—731no—
1776C2×C4—731no—
1777C2×C4—731no—
1778C2×C4—731no—
1779C2×C4—731no—
1780C2×C4—731no—
1781C2×C4—1461no—
1782C2×C4—1461no—
1783C2×C4—1461no—
1784C2×C4—1461no—
1785C2×C4—1461no—
1786C2×C4—1461no—
1787C2×C4—1461no—
1788C2×C4—1461no—
1789C2×C4—1461no—
1790C2×C4C2×D4×D7311yescharacteristic
1791C2×C4C2×D4×D7311yescharacteristic
1792C2×C4C2×D4×D7311yescharacteristic
1793C2×C4C24×D7311yescharacteristic
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—1461no—
1799C8—1461no—
1800C8—1461no—
1801C8—1461no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—2921no—
1815C22—2921no—
1816C22—2921no—
1817C22—2921no—
1818C22—2921no—
1819C22—2921no—
1820C22—2921no—
1821C22—5842no—
1822C22—5844no—
1823C22—11682no—
1824C22—11682no—
1825C22—1462no—
1826C22—1462no—
1827C22—1461no—
1828C22—1461no—
1829C22—1461no—
1830C22—1461no—
1831C22—1461no—
1832C22—1461no—
1833C22C22×D4×D7311yescharacteristic
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—2921no—
1845C4—2921no—
1846C4—2921no—
1847C4—2921no—
1848C4—2921no—
1849C4—1461no—
1850C4—1461no—
1851C4—1461no—
1852C4—1461no—
1853C4—1461no—
1854C4—1461no—
1855C4H(5,𝔽2)×D7311yescharacteristic
1856C4H(5,𝔽2)×D7311yescharacteristic
1857C2—41no—
1858C2—41no—
1859C2—41no—
1860C2—81no—
1861C2—2922no—
1862C2—2922no—
1863C2—2921no—
1864C2—2921no—
1865C2—5841no—
1866C2#2262356311yescharacteristic
1867C2#2262470311yescharacteristic
1868C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3201C2
socleC22×C73C23×D4
hypercenter#3201D73
hypocenterC73#61613
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3201

Complements

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

NH ≅ G/Ntype
1. #22624212C2semidirect
2. #22623574C2semidirect
3. #22622245C2semidirect
4. #22622138C2semidirect
5. #22622030C2semidirect
6. #22622010C2semidirect
7. #22621962C2semidirect
8. #22621913C2semidirect
9. #22621843C2semidirect
10. #22621764C2semidirect
11. #22621646C2semidirect
12. #22621635C2semidirect
13. #22621574C2semidirect
14. #22621555C2semidirect
15. #22621493C2semidirect
16. #22621479C2semidirect
17. #22621459C2semidirect
18. #22621438C2semidirect
19. #22621038C2semidirect
20. #22621010C2semidirect
21. #22620822C2semidirect
22. #22620771C2semidirect
23. #22620716C2semidirect
24. #22620179C2semidirect
25. #22620110C2semidirect
26. #22619232C2semidirect
27. #22619210C2semidirect
28. #22619190C2semidirect
29. #22619148C2semidirect
30. #22618974C2semidirect
31. C73×#3201C2semidirect
34. C2×#14556624C22semidirect
35. C2×#14556623C22semidirect
36. C2×#14556623C22semidirect
37. C2×#14556616C22semidirect
38. C2×#14556612C22semidirect
39. C2×#14556612C22semidirect
40. C2×#14556611C22semidirect
41. C22×#11924017C22semidirect
44. #17989308C22semidirect
45. #17989292C22semidirect
48. #17989284C22semidirect
49. #17989272C22semidirect
50. #17989250C22semidirect
51. #17989244C22semidirect
52. #17989243C22semidirect
59. #17989236C22semidirect
67. #17989204C22semidirect
68. #17989197C22semidirect
77. #17989097C22semidirect
81. C22⋊Q8×D73C22semidirect
83. #17988980C22semidirect
84. #17988978C22semidirect
85. #17988968C22semidirect
86. #17988965C22semidirect
87. #17988954C22semidirect
88. #17988948C22semidirect
89. #17988943C22semidirect
90. #17988936C22semidirect
91. #17988930C22semidirect
92. #17988928C22semidirect
93. #17988928C22semidirect
94. #17988925C22semidirect
95. #17988925C22semidirect
96. #17988919C22semidirect
97. #17988913C22semidirect
98. #17988902C22semidirect
99. #17988890C22semidirect
100. #17988886C22semidirect
101. #17988876C22semidirect
102. #17988866C22semidirect
103. #17988846C22semidirect
104. #17988843C22semidirect
105. #17988843C22semidirect
106. #17988839C22semidirect
107. #17988834C22semidirect
108. #17988832C22semidirect
109. #17988829C22semidirect
110. #17988827C22semidirect
111. #17988826C22semidirect
112. #17988826C22semidirect
113. #17988819C22semidirect
114. #17988817C22semidirect
115. #17988812C22semidirect
116. #17988812C22semidirect
117. #17988811C22semidirect
118. #17988804C22semidirect
119. #17988801C22semidirect
120. #17988801C22semidirect
121. #17988796C22semidirect
122. #17988796C22semidirect
123. #17988795C22semidirect
124. #17988791C22semidirect
125. #17988791C22semidirect
126. #17988790C22semidirect
127. #17988752C22semidirect
128. #17988752C22semidirect
129. #17988752C22semidirect
130. #17988752C22semidirect
133. #17988751C22semidirect
134. #17988751C22semidirect
135. #17988750C22semidirect
136. #17988748C22semidirect
137. #17988748C22semidirect
139. #17988747C22semidirect
140. #17988744C22semidirect
141. #17988743C22semidirect
142. #17988743C22semidirect
143. #17988742C22semidirect
144. #17988742C22semidirect
147. #17988740C22semidirect
148. #17988740C22semidirect
150. #17988737C22semidirect
151. #17988733C22semidirect
152. #17988731C22semidirect
153. #17988731C22semidirect
155. #17988730C22semidirect
156. #17988727C22semidirect
158. #17988720C22semidirect
159. #17988696C22semidirect
160. #17988690C22semidirect
161. #17988686C22semidirect
162. #17988686C22semidirect
163. #17988674C22semidirect
164. #17988674C22semidirect
165. #17988672C22semidirect
166. #17988667C22semidirect
167. #17988663C22semidirect
168. #17988662C22semidirect
169. #17988661C22semidirect
170. #17988658C22semidirect
171. #17988656C22semidirect
172. #17988655C22semidirect
173. C8×C22⋊D73C22semidirect
174. #17988650C22semidirect
175. #17988645C22semidirect
176. #17988645C22semidirect
177. #17988593C22semidirect
178. #17988587C22semidirect
179. #17988587C22semidirect
180. #17988586C22semidirect
181. #17988584C22semidirect
182. #17988582C22semidirect
183. #17988582C22semidirect
184. C2×#14556511C22semidirect
186. #17988549C22semidirect
187. C22⋊C8×D73C22semidirect
190. #485×C73C22semidirect
191. #484×C73C22semidirect
192. #483×C73C22semidirect
193. #482×C73C22semidirect
194. #470×C73C22semidirect
195. #468×C73C22semidirect
196. #467×C73C22semidirect
197. #465×C73C22semidirect
198. #452×C73C22semidirect
199. #452×C73C22semidirect
200. #451×C73C22semidirect
201. #448×C73C22semidirect
956. #3201D73semidirect
966. C73#61613semidirect
1033. #485C2×D73semidirect
1034. #484C2×D73semidirect
1036. #483C2×D73semidirect
1038. #482C2×D73semidirect
1047. #470C2×D73semidirect
1051. #468C2×D73semidirect
1056. #467C2×D73semidirect
1059. #465C2×D73semidirect
1085. #452C2×D73semidirect
1086. #452C2×D73semidirect
1092. #451C2×D73semidirect
1105. #448C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242122
#226235742
#226222452
#226221382
#226220302
#226220102
#226219622
#226219132
#226218432
#226217642
#226216462
#226216352
#226215742
#226215552
#226214932
#226214792
#226214592
#226214382
#226210382
#226210102
#226208222
#226207712
#226207162
#226201792
#226201102
#226192322
#226192102
#226191902
#226191482
#226189742
C73×#32012
#6161373