Finite Group Databasebeta

← #33962947

Subgroups — #33962947

Order 18688.

2132 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623484C211yesmaximal, characteristic, complemented
2#22623420C211yesmaximal, characteristic, complemented
3#22622262C211yesmaximal, characteristic, complemented
4#22622254C211yesmaximal, characteristic, complemented
5#22622242C211yesmaximal, characteristic, complemented
6#22622234C211yesmaximal, characteristic, complemented
7#22622221C211yesmaximal, characteristic, complemented
8#22622207C211yesmaximal, characteristic, complemented
9#22622204C211yesmaximal, characteristic, complemented
10#22622184C211yesmaximal, characteristic, complemented
11#22622181C211yesmaximal, characteristic, complemented
12#22622171C211yesmaximal, characteristic, complemented
13#22622157C211yesmaximal, characteristic, complemented
14#22622154C211yesmaximal, characteristic, complemented
15#22622141C211yesmaximal, characteristic, complemented
16#22622134C211yesmaximal, characteristic, complemented
17#22622131C211yesmaximal, characteristic, complemented
18#22620252C211yesmaximal, characteristic, complemented
19#22619847C211yesmaximal, characteristic, complemented
20#22619843C211yesmaximal, characteristic, complemented
21#22619718C211yesmaximal, characteristic, complemented
22#22619542C211yesmaximal, characteristic, complemented
23#22619535C211yesmaximal, characteristic, complemented
24#22619385C211yesmaximal, characteristic, complemented
25#22619154C211yesmaximal, characteristic, complemented
26#22619152C211yesmaximal, characteristic, complemented
27C4×#14556614C211yesmaximal, characteristic, complemented
28#436×D73C211yesmaximal, characteristic, complemented
29#22618449C211yesmaximal, characteristic, complemented
30#22618447C211yesmaximal, characteristic, complemented
31C73×#3327C211yesmaximal, characteristic, complemented
32C22×#11924029C2211yescharacteristic
33C2×#41×D73C2211yescharacteristic
34C2×#14556614C2211yescharacteristic
35C2×#14556614C2211yescharacteristic, complemented
36C2×#14556612C2211yescharacteristic, complemented
37C2×M16×D73C2211yescharacteristic, complemented
38C2×M16×D73C2211yescharacteristic, complemented
39#17989308C2211yescharacteristic
40#17989300C2211yescharacteristic
41#17989295C2211yescharacteristic, complemented
42#17989290C2211yescharacteristic, complemented
43#17989283C2211yescharacteristic, complemented
44#17989278C2211yescharacteristic, complemented
45#17989269—21no—
46#17989262—21no—
47#17989261—21no—
48#17989256C2211yescharacteristic
49Q8×C22⋊D73C2211yescharacteristic
50#17989249C2211yescharacteristic
51#17989239—21no—
52#17989239C2211yescharacteristic
53#17989238C2211yescharacteristic, complemented
54#17989233—21no—
55#17989233C2211yescharacteristic
56#17989230—21no—
57#17989230C2211yescharacteristic
58#17989229—21no—
59#17989221—21no—
60#17989221C2211yescharacteristic
61#17989143C2211yescharacteristic, complemented
62#17989136—21no—
63#17989136C2211yescharacteristic
64#17989122—21no—
65#17989120—21no—
66#17989114—21no—
67#17989100—21no—
68#17989100C2211yescharacteristic
69#17989100C2211yescharacteristic, complemented
70#17989100C2211yescharacteristic, complemented
71#17989097—21no—
72#17989097C2211yescharacteristic
73C4×#11924029C2211yescharacteristic
74C4×#11924029C2211yescharacteristic, complemented
75#17989055—21no—
76C4×D4×D73—21no—
77C4×D4×D73C2211yescharacteristic
78C2×#14556549C2211yescharacteristic, complemented
79#117×D73C2211yescharacteristic, complemented
80#17988944C2211yescharacteristic, complemented
81#17988942C2211yescharacteristic, complemented
82#17988941C2211yescharacteristic, complemented
83#17988936C2211yescharacteristic, complemented
84#17988936C2211yescharacteristic, complemented
85#17988932C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic, complemented
87#17988929C2211yescharacteristic, complemented
88#17988928C2211yescharacteristic, complemented
89#17988927C2211yescharacteristic, complemented
90#17988927C2211yescharacteristic, complemented
91#17988924C2211yescharacteristic, complemented
92#17988919C2211yescharacteristic, complemented
93#17988915C2211yescharacteristic, complemented
94#17988914C2211yescharacteristic, complemented
95#17988914C2211yescharacteristic, complemented
96#17988908C2211yescharacteristic, complemented
97#17988905C2211yescharacteristic, complemented
98#17988904C2211yescharacteristic, complemented
99#17988901C2211yescharacteristic, complemented
100#17988899C2211yescharacteristic, complemented
101#17988894C2211yescharacteristic, complemented
102#17988888C2211yescharacteristic, complemented
103#17988884C2211yescharacteristic, complemented
104#17988880C2211yescharacteristic, complemented
105#17988876C2211yescharacteristic, complemented
106#17988870C2211yescharacteristic, complemented
107#17988866C2211yescharacteristic, complemented
108#17988844C2211yescharacteristic, complemented
109#17988843C2211yescharacteristic, complemented
110#17988842C2211yescharacteristic, complemented
111#17988841C2211yescharacteristic, complemented
112#17988840C2211yescharacteristic, complemented
113#17988839C2211yescharacteristic, complemented
114#17988838C2211yescharacteristic, complemented
115#17988836C2211yescharacteristic, complemented
116#17988836C2211yescharacteristic, complemented
117#17988835C2211yescharacteristic, complemented
118#17988835C2211yescharacteristic, complemented
119#17988834C2211yescharacteristic, complemented
120#17988833C2211yescharacteristic, complemented
121#17988830C2211yescharacteristic, complemented
122#17988809C2211yescharacteristic, complemented
123#17988803C2211yescharacteristic, complemented
124#17988799C2211yescharacteristic, complemented
125#17988795C2211yescharacteristic, complemented
126#17988791C2211yescharacteristic, complemented
127#17988785C2211yescharacteristic, complemented
128#17988781C2211yescharacteristic, complemented
129#17988748C2211yescharacteristic, complemented
130#17988748C2211yescharacteristic, complemented
131#17988747C2211yescharacteristic, complemented
132#17988741C2211yescharacteristic, complemented
133#17988737C2211yescharacteristic, complemented
134#17988736C2211yescharacteristic, complemented
135#17988735C2211yescharacteristic, complemented
136#17988735C2211yescharacteristic, complemented
137#17988734C2211yescharacteristic, complemented
138#17988732C2211yescharacteristic, complemented
139#17988727C2211yescharacteristic, complemented
140#17988726C2211yescharacteristic, complemented
141#17988723C2211yescharacteristic, complemented
142#17988722C2211yescharacteristic, complemented
143Q16×Dic73C2211yescharacteristic, complemented
144C4×#11924015C2211yescharacteristic, complemented
145C4×#11924015C2211yescharacteristic, complemented
146#17988672C2211yescharacteristic, complemented
147#17988672C2211yescharacteristic, complemented
148C4×D584C2211yescharacteristic, complemented
149#17988669C2211yescharacteristic, complemented
150#17988666C2211yescharacteristic, complemented
151#17988665C2211yescharacteristic, complemented
152#17988664C2211yescharacteristic, complemented
153#17988663C2211yescharacteristic
154#17988663C2211yescharacteristic, complemented
155#17988662C2211yescharacteristic
156#17988662C2211yescharacteristic, complemented
157#17988624C2211yescharacteristic, complemented
158#17988624C2211yescharacteristic, complemented
159#17988622C2211yescharacteristic, complemented
160C4⋊C8×D73C2211yescharacteristic, complemented
161#17988596C2211yescharacteristic, complemented
162#17988594C2211yescharacteristic, complemented
163#17988594C2211yescharacteristic, complemented
164#17988593C2211yescharacteristic, complemented
165#17988591C2211yescharacteristic, complemented
166#17988590C2211yescharacteristic, complemented
167#17988590C2211yescharacteristic, complemented
168#17988589C2211yescharacteristic, complemented
169#17988588C2211yescharacteristic, complemented
170#17988587C2211yescharacteristic, complemented
171#17988587C2211yescharacteristic, complemented
172#17988587C2211yescharacteristic, complemented
173#17988587C2211yescharacteristic, complemented
174#17988586C2211yescharacteristic, complemented
175#17988582C2211yescharacteristic
176#17988582C2211yescharacteristic
177#17988582C2211yescharacteristic
178#17988582C2211yescharacteristic, complemented
179#17988582C2211yescharacteristic, complemented
180#17988582C2211yescharacteristic, complemented
181#17988582C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic, complemented
183#17988580C2211yescharacteristic, complemented
184#17988580C2211yescharacteristic, complemented
185C22⋊C8×D73C2211yescharacteristic, complemented
186C22⋊C8×D73C2211yescharacteristic, complemented
187C4×C8×D73C2211yescharacteristic, complemented
188#552×C73C2211yescharacteristic, complemented
189#548×C73C2211yescharacteristic
190#488×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#451×C73C2211yescharacteristic, complemented
199C4×Q16×C73C2211yescharacteristic, complemented
200#436×C73C2211yescharacteristic, complemented
201#419×C73C2211yescharacteristic, complemented
202#417×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029—21no—
205C2×#11924029—24no—
206C2×#11924029—42no—
207C2×#11924029C2311yescharacteristic
208C2×#11924029C2311yescharacteristic
209C2×#11924029C2311yescharacteristic
210C2×#11924029C2311yescharacteristic
211C2×#11924029C2311yescharacteristic
212C2×#11924028—21no—
213C2×#11924028—21no—
214C2×#11924028C2311yescharacteristic
215C2×#11924027—21no—
216C2×#11924027C2311yescharacteristic
217#41×D73—24no—
218#41×D73—42no—
219C2×Q8×D73C2311yescharacteristic
220C22×D292—21no—
221C22×D292C2311yescharacteristic
222C2×D4×D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73D411yescharacteristic
225C2×D4×D73C2311yescharacteristic
226C22×C4×D73—21no—
227C22×C4×D73—21no—
228C22×C4×D73C2311yescharacteristic
229C22×C4×D73C2311yescharacteristic
230#14556614—24no—
231#14556614—42no—
232#14556612—42no—
233C2×#11924018C2311yescharacteristic
234C2×#11924017C2311yescharacteristic
235C2×#11924015C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237C2×#11924015C2311yescharacteristic
238C2×#11924015C2311yescharacteristic
239C2×D584C2311yescharacteristic
240C2×D584C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924012C2311yescharacteristic
243C2×#11924012C2311yescharacteristic
244C2×#11924011C2311yescharacteristic
245C2×#11924011C2311yescharacteristic
246C2×#11924011C2311yescharacteristic
247C2×#11924011C2311yescharacteristic
248M16×D73—42no—
249M16×D73—42no—
250C2×C8×D73C2311yescharacteristic
251C2×C8×D73C2311yescharacteristic
252C2×C8×D73C2311yescharacteristic
253C2×C8×D73C2311yescharacteristic
254#14556590C2311yescharacteristic
255#14556590C2311yescharacteristic
256#14556589—21no—
257#14556589C2311yescharacteristic
258#14556587—21no—
259#14556587C2311yescharacteristic
260#14556586—21no—
261#14556586—21no—
262#14556586—21no—
263#14556585—21no—
264#14556584—21no—
265#14556583C2311yescharacteristic
266#14556581—21no—
267#14556581—21no—
268#14556579—21no—
269#14556579—21no—
270#14556579C2311yescharacteristic
271#14556577—21no—
272#14556577—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576—21no—
276#14556576—21no—
277#14556576—21no—
278#14556576—21no—
279#14556576—21no—
280#14556576—21no—
281#14556574—21no—
282#14556573—21no—
283#14556573—21no—
284#14556573—21no—
285#14556573—21no—
286#14556571—21no—
287#14556571—21no—
288#14556571C2311yescharacteristic
289#14556570—21no—
290#14556570C2311yescharacteristic
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556568—21no—
295#14556567—21no—
296#14556567C2311yescharacteristic
297#14556567C2311yescharacteristic
298#14556567C2311yescharacteristic
299#14556566—21no—
300#14556566—21no—
301#14556566C2311yescharacteristic
302#14556566C2311yescharacteristic
303#14556566C2311yescharacteristic
304#14556565—21no—
305#14556565C2311yescharacteristic
306#14556565C2311yescharacteristic
307#14556565C2311yescharacteristic
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556563—21no—
316#14556562—21no—
317#14556562C2311yescharacteristic
318#14556561—21no—
319#14556561—21no—
320#14556561—21no—
321#14556561—21no—
322#14556561—21no—
323#14556559—21no—
324#14556559—21no—
325#14556559—21no—
326Q8×Dic73C2311yescharacteristic
327Q8×Dic73C2311yescharacteristic
328#14556556—21no—
329#14556556—21no—
330#14556556—21no—
331C4×D292—21no—
332C4×D292—21no—
333C4×D292—21no—
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337D4×Dic73—21no—
338D4×Dic73D411yescharacteristic
339#14556553—21no—
340#14556553—21no—
341#14556553—21no—
342#14556553—21no—
343#14556553—21no—
344#14556553—21no—
345#14556553D411yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73C2311yescharacteristic
351C4×C22⋊D73C2311yescharacteristic
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551D411yescharacteristic
361#14556551D411yescharacteristic
362#14556550C2311yescharacteristic
363#14556549—21no—
364#14556549—21no—
365#14556549—21no—
366#14556549—21no—
367#14556549C2311yescharacteristic
368#14556549C2311yescharacteristic
369#14556549C2311yescharacteristic
370#14556549C2311yescharacteristic
371#14556549C2311yescharacteristic
372#14556549C2311yescharacteristic
373#14556548—21no—
374#14556548—21no—
375#14556548—21no—
376#14556547—21no—
377C2×C4⋊Dic73C2311yescharacteristic
378C4⋊C4×D73—21no—
379C4⋊C4×D73D411yescharacteristic
380C4⋊C4×D73C2311yescharacteristic
381C4⋊C4×D73C2311yescharacteristic
382C2×#11924005—21no—
383C22⋊C4×D73—21no—
384C22⋊C4×D73—21no—
385C22⋊C4×D73—21no—
386C22⋊C4×D73D411yescharacteristic
387C22⋊C4×D73D411yescharacteristic
388C2×C4×Dic73—21no—
389C42×D73—21no—
390C42×D73—21no—
391C42×D73—21no—
392C42×D73C2311yescharacteristic
393#14556525C2311yescharacteristic
394#14556525C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556523C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441C4×#10596831C2311yescharacteristic
442C8×Dic73C2311yescharacteristic
443C8×Dic73C2311yescharacteristic
444C2×#41×C73C2311yescharacteristic
445C22×Q8×C73C2311yescharacteristic
446C2×Q16×C73C2311yescharacteristic
447C2×Q16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×M16×C73C2311yescharacteristic
450C2×M16×C73C2311yescharacteristic
451#126×C73—21no—
452#125×C73—21no—
453#125×C73C2311yescharacteristic
454#124×C73—21no—
455#124×C73C2311yescharacteristic
456#123×C73—21no—
457C22⋊Q8×C73—21no—
458C22⋊Q8×C73C2311yescharacteristic
459C22⋊Q8×C73C2311yescharacteristic
460C22⋊Q8×C73C2311yescharacteristic
461#121×C73—21no—
462#121×C73C2311yescharacteristic
463C4×Q8×C73C2311yescharacteristic
464C4×Q8×C73C2311yescharacteristic
465C4×D4×C73—21no—
466C4×D4×C73C2311yescharacteristic
467#117×C73—21no—
468#117×C73C2311yescharacteristic
469C2×C4⋊C4×C73C2311yescharacteristic
470#107×C73C2311yescharacteristic
471#107×C73C2311yescharacteristic
472#106×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C22⋊C8×C73C2311yescharacteristic
485C22⋊C8×C73C2311yescharacteristic
486C4×C8×C73C2311yescharacteristic
487C23×D73—21no—
488C23×D73—21no—
489C23×D73C2×D411yescharacteristic
490C23×D73C2×D411yescharacteristic
491#11924029—22no—
492#11924029—22no—
493#11924029—22no—
494#11924029—22no—
495#11924029—22no—
496#11924029—22no—
497#11924029—22no—
498#11924029—44no—
499#11924029—41no—
500#11924029—41no—
501#11924029—44no—
502#11924029#4114yescomplemented
503#11924028—22no—
504#11924028—41no—
505#11924028—44no—
506#11924028—44no—
507#11924027—22no—
508#11924027—22no—
509#11924027—44no—
510C2×Dic146—21no—
511C2×Dic146—21no—
512C2×Dic146—21no—
513C2×Dic146C2411yescharacteristic
514Q8×D73—22no—
515Q8×D73—41no—
516C2×D292—21no—
517C2×D292—22no—
518C2×D292—21no—
519C2×D292—21no—
520C2×D292—21no—
521C2×D292—21no—
522C2×D292—21no—
523C2×D292—21no—
524C2×D292—21no—
525C2×D292—21no—
526C2×D292—41no—
527C2×D292—44no—
528C2×D292C2×D411yescharacteristic
529C2×D292C2411yescharacteristic
530C2×D292C2411yescharacteristic
531C2×D292C2411yescharacteristic
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73C2×D411yescharacteristic
542C2×C22⋊D73C2×D411yescharacteristic
543D4×D73—22no—
544D4×D73—41no—
545D4×D73—42no—
546D4×D73—44no—
547D4×D73—44no—
548C22×Dic73—21no—
549C22×Dic73—21no—
550C22×Dic73C2×D411yescharacteristic
551C22×Dic73C2×D411yescharacteristic
552C2×C4×D73—21no—
553C2×C4×D73—22no—
554C2×C4×D73—22no—
555C2×C4×D73—22no—
556C2×C4×D73—22no—
557C2×C4×D73—21no—
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—44no—
570C2×C4×D73—44no—
571C2×C4×D73C2×D411yescharacteristic
572C2×C4×D73C2×D411yescharacteristic
573C2×C4×D73C2×D411yescharacteristic
574C2×C4×D73C2×D411yescharacteristic
575C2×C4×D73C2×D411yescharacteristic
576C2×C4×D73C2×D411yescharacteristic
577C2×C4×D73C2411yescharacteristic
578C2×C4×D73C2411yescharacteristic
579C2×C4×D73C2411yescharacteristic
580#11924018—41no—
581#11924017—41no—
582#11924015—22no—
583#11924015—22no—
584#11924015—41no—
585#11924015—41no—
586D584—22no—
587D584—41no—
588#11924013—41no—
589#11924012—41no—
590#11924012—41no—
591#11924011—41no—
592#11924011—41no—
593#11924011—41no—
594#11924011—41no—
595C2×#10596831C2411yescharacteristic
596C2×#10596831C2411yescharacteristic
597C2×#10596831C2411yescharacteristic
598C2×#10596831C2411yescharacteristic
599C8×D73—22no—
600C8×D73—22no—
601C8×D73—22no—
602C8×D73—22no—
603C4⋊Dic73—21no—
604C4⋊Dic73—21no—
605C4⋊Dic73—21no—
606C4⋊Dic73—21no—
607C4⋊Dic73C2×D411yescharacteristic
608C4⋊Dic73C2411yescharacteristic
609C4⋊Dic73C2411yescharacteristic
610C4⋊Dic73C2411yescharacteristic
611C4⋊Dic73C2411yescharacteristic
612#11924007—21no—
613#11924007—21no—
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007—21no—
619#11924007—21no—
620#11924007—21no—
621#11924007—21no—
622#11924007—21no—
623#11924007—21no—
624#11924007C2×D411yescharacteristic
625#11924007C2×D411yescharacteristic
626C22⋊Dic73—21no—
627C22⋊Dic73—21no—
628C22⋊Dic73—21no—
629C22⋊Dic73C2×D411yescharacteristic
630C22⋊Dic73C2×D411yescharacteristic
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005—21no—
653#11924005C2×D411yescharacteristic
654#11924005C2×D411yescharacteristic
655#11924005C2×D411yescharacteristic
656#11924005C2×D411yescharacteristic
657C4×Dic73—21no—
658C4×Dic73—21no—
659C4×Dic73—21no—
660C4×Dic73—21no—
661C4×Dic73—21no—
662C4×Dic73—21no—
663C4×Dic73—21no—
664C4×Dic73—21no—
665C4×Dic73—21no—
666C4×Dic73C2×D411yescharacteristic
667C4×Dic73C2×D411yescharacteristic
668C4×Dic73C2411yescharacteristic
669#41×C73—22no—
670#41×C73—41no—
671C2×Q8×C73—21no—
672C2×Q8×C73—22no—
673C2×Q8×C73—41no—
674C2×Q8×C73C2411yescharacteristic
675C2×Q8×C73C2411yescharacteristic
676C2×Q8×C73C2411yescharacteristic
677C2×D4×C73—21no—
678C2×D4×C73—21no—
679C2×D4×C73C2×D411yescharacteristic
680C2×D4×C73C2411yescharacteristic
681C22×C4×C73—21no—
682C22×C4×C73—21no—
683C22×C4×C73—21no—
684C22×C4×C73C2411yescharacteristic
685C22×C4×C73C2411yescharacteristic
686Q16×C73—22no—
687Q16×C73—41no—
688SD16×C73—41no—
689M16×C73—41no—
690M16×C73—41no—
691C2×C8×C73C2411yescharacteristic
692C2×C8×C73C2411yescharacteristic
693C2×C8×C73C2411yescharacteristic
694C2×C8×C73C2411yescharacteristic
695C4⋊C4×C73—21no—
696C4⋊C4×C73—21no—
697C4⋊C4×C73—21no—
698C4⋊C4×C73—21no—
699C4⋊C4×C73—21no—
700C4⋊C4×C73—21no—
701C4⋊C4×C73—21no—
702C4⋊C4×C73—21no—
703C4⋊C4×C73C2×D411yescharacteristic
704C4⋊C4×C73C2411yescharacteristic
705C4⋊C4×C73C2411yescharacteristic
706C4⋊C4×C73C2411yescharacteristic
707C4⋊C4×C73C2411yescharacteristic
708C22⋊C4×C73—21no—
709C22⋊C4×C73—21no—
710C22⋊C4×C73—21no—
711C22⋊C4×C73—21no—
712C22⋊C4×C73—21no—
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C22⋊C4×C73C2×D411yescharacteristic
716C22⋊C4×C73C2×D411yescharacteristic
717C42×C73—21no—
718C42×C73—21no—
719C42×C73—21no—
720C42×C73C2411yescharacteristic
721C23×C73—21no—
722C23×C73C22×D411yescharacteristic
723C23×C73C22×D411yescharacteristic
724C22×D73—21no—
725C22×D73—22no—
726C22×D73—22no—
727C22×D73—21no—
728C22×D73—21no—
729C22×D73—41no—
730C22×D73—41no—
731C22×D73—41no—
732C22×D73—41no—
733C22×D73—42no—
734C22×D73—42no—
735C22×D73—42no—
736C22×D73—42no—
737C22×D73—81no—
738C22×D73—81no—
739C22×D73C22×D411yescharacteristic
740C22×D73C22×D411yescharacteristic
741C22×D73C22×D411yescharacteristic
742Q8×C73—21no—
743Q8×C73—21no—
744Q8×C73—21no—
745Q8×C73—21no—
746Q8×C73—21no—
747Q8×C73—42no—
748Q8×C73C2×#4112yes—
749D4×C73—21no—
750D4×C73—21no—
751D4×C73—41no—
752D4×C73—42no—
753D4×C73—42no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—21no—
761C2×C4×C73—21no—
762C2×C4×C73—21no—
763C2×C4×C73—21no—
764C2×C4×C73—21no—
765C2×C4×C73—42no—
766C2×C4×C73—42no—
767C2×C4×C73—42no—
768C2×C4×C73C22×D411yescharacteristic
769C2×C4×C73C22×D411yescharacteristic
770C2×C4×C73C22×D411yescharacteristic
771C2×C4×C73C22×D411yescharacteristic
772C2×C4×C73C2511yescharacteristic
773C22⋊D73—22no—
774C22⋊D73—22no—
775C22⋊D73—42no—
776C22⋊D73—42no—
777C22⋊D73—42no—
778C22⋊D73—42no—
779C22⋊D73—42no—
780C22⋊D73—81no—
781C22⋊D73—81no—
782C22⋊D73—81no—
783C22⋊D73—81no—
784C2×Dic73—22no—
785C2×Dic73—22no—
786C2×Dic73—21no—
787C2×Dic73—21no—
788C2×Dic73—21no—
789C2×Dic73—21no—
790C2×Dic73—21no—
791C2×Dic73—42no—
792C2×Dic73—81no—
793C2×Dic73C22×D411yescharacteristic
794C2×Dic73C22×D411yescharacteristic
795C2×Dic73C22×D411yescharacteristic
796C2×Dic73C22×D411yescharacteristic
797C2×Dic73C22×D411yescharacteristic
798D292—24no—
799D292—21no—
800D292—21no—
801D292—21no—
802D292—21no—
803D292—21no—
804D292—41no—
805D292—42no—
806D292—42no—
807D292—42no—
808D292—42no—
809D292—42no—
810D292—42no—
811D292—42no—
812D292—81no—
813D292C2×#4112yes—
814C4×D73—22no—
815C4×D73—22no—
816C4×D73—21no—
817C4×D73—21no—
818C4×D73—21no—
819C4×D73—21no—
820C4×D73—22no—
821C4×D73—22no—
822C4×D73—24no—
823C4×D73—22no—
824C4×D73—41no—
825C4×D73—42no—
826C4×D73—42no—
827C4×D73—42no—
828C4×D73—42no—
829C4×D73—42no—
830C4×D73—42no—
831C4×D73—42no—
832C4×D73—42no—
833C4×D73—42no—
834C4×D73—81no—
835C4×D73—81no—
836C4×D73—81no—
837C4×D73C2×#4112yes—
838C4×D73H(5,𝔽2)12yes—
839Dic146—21no—
840Dic146—21no—
841Dic146—42no—
842Dic146—42no—
843Dic146—81no—
844C8×C73—21no—
845C8×C73—21no—
846C8×C73—21no—
847C8×C73—21no—
848#10596831—21no—
849#10596831—21no—
850#10596831—21no—
851#10596831—21no—
852C22×C73—21no—
853C22×C73—21no—
854C22×C73—21no—
855C22×C73—21no—
856C22×C73—21no—
857C22×C73—21no—
858C22×C73—41no—
859C22×C73—41no—
860C22×C73—41no—
861C22×C73C23×D411yescharacteristic
862C2×D73—21no—
863C2×D73—21no—
864C2×D73—21no—
865C2×D73—21no—
866C2×D73—21no—
867C2×D73—21no—
868C2×D73—22no—
869C2×D73—21no—
870C2×D73—21no—
871C2×D73—41no—
872C2×D73—41no—
873C2×D73—41no—
874C2×D73—41no—
875C2×D73—41no—
876C2×D73—41no—
877C2×D73—41no—
878C2×D73—41no—
879C2×D73—82no—
880C2×D73—82no—
881C2×D73—84no—
882C2×D73—84no—
883C2×D73#54612yes—
884C4×C73—21no—
885C4×C73—22no—
886C4×C73—21no—
887C4×C73—21no—
888C4×C73—21no—
889C4×C73—41no—
890C4×C73—41no—
891C4×C73—41no—
892C4×C73—41no—
893C4×C73—41no—
894C4×C73—41no—
895C4×C73C22×#4111yescharacteristic
896C4×C73C2×H(5,𝔽2)11yescharacteristic
897Dic73—21no—
898Dic73—21no—
899Dic73—21no—
900Dic73—41no—
901Dic73—41no—
902Dic73—41no—
903Dic73—41no—
904Dic73—41no—
905Dic73#54612yes—
906Dic73#57512yes—
907#61154—731nomaximal, Sylow
908C2×C73—41no—
909C2×C73—41no—
910C2×C73—81no—
911C2×C73C2×#54611yescharacteristic
912C2×C73C2×#57511yescharacteristic
913C2×C73#358411yescharacteristic
914D73—22no—
915D73—41no—
916D73—41no—
917D73—42no—
918D73—81no—
919D73—81no—
920#3475—731no—
921D4×#41—731no—
922#3333—731no—
923#3332—731no—
924#3331—731no—
925#3330—731no—
926#3329—731no—
927#3328—731no—
928#3327—731no—
929#3327D7311yescharacteristic, complemented
930#3326—731no—
931#3326—731no—
932#3325—731no—
933#3324—731no—
934#3323—731no—
935#3323—731no—
936#3322—731no—
937#3322—731no—
938#3131—731no—
939#3091—731no—
940#3091—731no—
941#3076—731no—
942#3054—731no—
943#3054—731no—
944#3035—731no—
945#3002—731no—
946#3002—731no—
947C4×#135—731no—
948C2×#436—731no—
949#2896—731no—
950#2896—731no—
951C73#6115411yescharacteristic, complemented, Sylow
952C22×#41—731no—
953C22×#41—731no—
954C2×#135—731no—
955C2×#135—731no—
956C2×#135—731no—
957C22×M16—731no—
958C22×M16—731no—
959#556—731no—
960#555—731no—
961#554—731no—
962#553—731no—
963#553—731no—
964#552—731no—
965#552—1461no—
966#552C2×D7311yescharacteristic, complemented
967#551—1461no—
968#551—1461no—
969#550—731no—
970D4×Q8—731no—
971#548—731no—
972#548C2×D7311yescharacteristic
973#547—731no—
974#547—731no—
975#547—1461no—
976#546—731no—
977#546—731no—
978#546—1461no—
979#546—1461no—
980#546—1461no—
981D42—731no—
982D42—1461no—
983#533—731no—
984#532—731no—
985#532—1461no—
986#529—1461no—
987#529—1461no—
988#529—1461no—
989#525—731no—
990#525—731no—
991#525—731no—
992#525—731no—
993#525—1461no—
994#525—1461no—
995C4×#41—731no—
996C4×#41—731no—
997C4×#41—1461no—
998C2×C4×D4—731no—
999C2×C4×D4—1461no—
1000C2×#117—731no—
1001C2×#117—731no—
1002#488—731no—
1003#488—731no—
1004#488—731no—
1005#488C2×D7311yescharacteristic, complemented
1006#487—731no—
1007#487—731no—
1008#486—731no—
1009#486—731no—
1010#485—731no—
1011#485—731no—
1012#485—731no—
1013#485—731no—
1014#484—731no—
1015#484C2×D7311yescharacteristic, complemented
1016#483—731no—
1017#483—731no—
1018#482—731no—
1019#482—731no—
1020#482—731no—
1021#482C2×D7311yescharacteristic, complemented
1022#481—731no—
1023#481—731no—
1024#480—731no—
1025#480—731no—
1026#479—731no—
1027#479C2×D7311yescharacteristic, complemented
1028#478—731no—
1029#478—731no—
1030#477—731no—
1031#476—731no—
1032#475—731no—
1033#474—731no—
1034#470—731no—
1035#470—731no—
1036#470—731no—
1037#470C2×D7311yescharacteristic, complemented
1038#469—731no—
1039#469—731no—
1040#469—731no—
1041#469—731no—
1042#468—731no—
1043#468—731no—
1044#468—731no—
1045#468—731no—
1046#468—731no—
1047#468—731no—
1048#468—731no—
1049#468C2×D7311yescharacteristic, complemented
1050#464—731no—
1051#464C2×D7311yescharacteristic, complemented
1052#463—731no—
1053#463—731no—
1054#462—731no—
1055#461—731no—
1056#460—731no—
1057#459—731no—
1058#452—731no—
1059#452—731no—
1060#452—731no—
1061#452C2×D7311yescharacteristic, complemented
1062#451—731no—
1063#451C2×D7311yescharacteristic, complemented
1064#450—731no—
1065#450—731no—
1066#449—731no—
1067#449—731no—
1068#449—731no—
1069#449—731no—
1070#448—731no—
1071#448—731no—
1072#447—731no—
1073#447—731no—
1074C4×Q16—731no—
1075C4×Q16C2×D7311yescharacteristic, complemented
1076C4×SD16—731no—
1077C4×SD16—731no—
1078C4×SD16—731no—
1079C4×SD16—731no—
1080C4×D8—731no—
1081C4×D8—731no—
1082#436—731no—
1083#436—731no—
1084#436—731no—
1085#436—731no—
1086#436—731no—
1087#436—731no—
1088#436—731no—
1089#436C2×D7311yescharacteristic, complemented
1090#427—731no—
1091#427—731no—
1092#427—731no—
1093C2×C4⋊C8—731no—
1094#419—731no—
1095#419—731no—
1096#419—731no—
1097#419C2×D7311yescharacteristic, complemented
1098#418—731no—
1099#418—731no—
1100#418—731no—
1101#418—731no—
1102#417—731no—
1103#417—731no—
1104#417—731no—
1105#417—731no—
1106#417—731no—
1107#417—731no—
1108#417—731no—
1109#417C2×D7311yescharacteristic, complemented
1110#416—731no—
1111#416—731no—
1112#416—731no—
1113#416—731no—
1114#416—731no—
1115#416—731no—
1116#416—731no—
1117#416—731no—
1118#416—731no—
1119#416—731no—
1120C2×C22⋊C8—731no—
1121C2×C22⋊C8—731no—
1122C2×C4×C8—731no—
1123C2×#41—2922no—
1124C2×#41—2922no—
1125C2×#41—731no—
1126C2×#41—731no—
1127C2×#41—731no—
1128C2×#41—731no—
1129C2×#41—731no—
1130C2×#41—731no—
1131C2×#41—731no—
1132C2×#41—1461no—
1133C2×#41—1461no—
1134C2×#41—1464no—
1135C2×#41—1464no—
1136C2×#41—1461no—
1137C2×#41—1461no—
1138C2×#41—1461no—
1139C2×#41C22×D7311yescharacteristic
1140C22×Q8—731no—
1141C22×Q8C22×D7311yescharacteristic
1142C22×D4—731no—
1143C22×D4—731no—
1144C22×D4—731no—
1145C22×D4—1461no—
1146C22×D4—1461no—
1147C22×D4—1461no—
1148C23×C4—731no—
1149C23×C4—731no—
1150C23×C4—1461no—
1151C23×C4—1461no—
1152#135—2922no—
1153#135—2922no—
1154#135—1464no—
1155C2×Q16—731no—
1156C2×Q16C22×D7311yescharacteristic
1157C2×Q16C22×D7311yescharacteristic
1158C2×SD16—731no—
1159C2×SD16—731no—
1160C2×SD16—731no—
1161C2×SD16—731no—
1162C2×SD16—731no—
1163C2×SD16C22×D7311yescharacteristic
1164C2×D8—731no—
1165C2×D8—731no—
1166C2×D8—731no—
1167C2×M16—2922no—
1168C2×M16—2922no—
1169C2×M16—731no—
1170C2×M16—731no—
1171C2×M16—731no—
1172C2×M16—731no—
1173C2×M16—731no—
1174C2×M16—731no—
1175C2×M16C22×D7311yescharacteristic
1176C2×M16C22×D7311yescharacteristic
1177C22×C8—731no—
1178C22×C8—731no—
1179C22×C8—731no—
1180C22×C8—731no—
1181C4⋊Q8—731no—
1182C4⋊Q8—731no—
1183C4⋊Q8—731no—
1184C4⋊Q8—1461no—
1185#127—731no—
1186#127—1461no—
1187#126—21no—
1188#126—1461no—
1189#126—1461no—
1190#126—1461no—
1191#126—1461no—
1192#126—1461no—
1193#125—21no—
1194#125—731no—
1195#125—1461no—
1196#125—1461no—
1197#125C22×D7311yescharacteristic
1198#124—21no—
1199#124—731no—
1200#124—1461no—
1201#124—1461no—
1202#124—1461no—
1203#124—1461no—
1204#124C22×D7311yescharacteristic
1205#123—21no—
1206#123—1461no—
1207#123—1461no—
1208#123—1461no—
1209#123—1461no—
1210#123—1461no—
1211#123—1461no—
1212#123—1461no—
1213#123—1461no—
1214#123—1461no—
1215#123—1461no—
1216#123—1461no—
1217#123—1461no—
1218#123—1461no—
1219C22⋊Q8—21no—
1220C22⋊Q8—731no—
1221C22⋊Q8—731no—
1222C22⋊Q8—731no—
1223C22⋊Q8—731no—
1224C22⋊Q8—731no—
1225C22⋊Q8—1461no—
1226C22⋊Q8—1461no—
1227C22⋊Q8—1461no—
1228C22⋊Q8—1461no—
1229C22⋊Q8—1461no—
1230C22⋊Q8—1461no—
1231C22⋊Q8—1461no—
1232C22⋊Q8—1461no—
1233C22⋊Q8C22×D7311yescharacteristic
1234C22⋊Q8C22×D7311yescharacteristic
1235C22⋊Q8C22×D7311yescharacteristic
1236#121—21no—
1237#121—731no—
1238#121—731no—
1239#121—731no—
1240#121—731no—
1241#121—731no—
1242#121—731no—
1243#121—731no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#121—1461no—
1251#121—1461no—
1252#121—1461no—
1253#121—1461no—
1254#121—1461no—
1255#121—1461no—
1256#121C22×D7311yescharacteristic
1257#120—1461no—
1258#120—1461no—
1259#120—1461no—
1260#120—1461no—
1261#120—1461no—
1262#120—1461no—
1263#120—1461no—
1264#120—1461no—
1265C4×Q8—731no—
1266C4×Q8—731no—
1267C4×Q8—1461no—
1268C4×Q8—1461no—
1269C4×Q8—1461no—
1270C4×Q8C22×D7311yescharacteristic
1271C4×Q8C22×D7311yescharacteristic
1272C4×D4—21no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—731no—
1281C4×D4—731no—
1282C4×D4—731no—
1283C4×D4—731no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4—1461no—
1296C4×D4—1461no—
1297C4×D4—1461no—
1298C4×D4—1461no—
1299C4×D4—1461no—
1300C4×D4—1461no—
1301C4×D4—1461no—
1302C4×D4—1461no—
1303C4×D4—1461no—
1304C4×D4C22×D7311yescharacteristic
1305#117—21no—
1306#117—731no—
1307#117—731no—
1308#117—731no—
1309#117—731no—
1310#117—731no—
1311#117—731no—
1312#117—731no—
1313#117—1461no—
1314#117—1461no—
1315#117—1461no—
1316#117—1461no—
1317#117—1461no—
1318#117—1461no—
1319#117—1461no—
1320#117—1461no—
1321#117C22×D7311yescharacteristic
1322C2×C4⋊C4—731no—
1323C2×C4⋊C4—731no—
1324C2×C4⋊C4—731no—
1325C2×C4⋊C4—731no—
1326C2×C4⋊C4—1461no—
1327C2×C4⋊C4C22×D7311yescharacteristic
1328C2×C22⋊C4—731no—
1329C2×C22⋊C4—731no—
1330C2×C22⋊C4—1461no—
1331C2×C22⋊C4—1461no—
1332C2×C22⋊C4—1461no—
1333C2×C22⋊C4—1461no—
1334C2×C42—731no—
1335C2×C42—1461no—
1336C2×C42—1461no—
1337C2×C42—1461no—
1338C2×C42—1461no—
1339#107—731no—
1340#107—731no—
1341#107—731no—
1342#107—731no—
1343#107C22×D7311yescharacteristic
1344#107C22×D7311yescharacteristic
1345#106—731no—
1346#106—731no—
1347#106—731no—
1348#106—731no—
1349#106—731no—
1350#106C22×D7311yescharacteristic
1351C4⋊C8—731no—
1352C4⋊C8—731no—
1353C4⋊C8—731no—
1354C4⋊C8C22×D7311yescharacteristic
1355#103—731no—
1356#103—731no—
1357#103—731no—
1358#103—731no—
1359#103—731no—
1360#103—731no—
1361#103—731no—
1362#103—731no—
1363#103—731no—
1364#103—731no—
1365#103—731no—
1366#103—731no—
1367#103—731no—
1368#103C22×D7311yescharacteristic
1369#103C22×D7311yescharacteristic
1370#103C22×D7311yescharacteristic
1371#103C22×D7311yescharacteristic
1372#103C22×D7311yescharacteristic
1373#103C22×D7311yescharacteristic
1374#103C22×D7311yescharacteristic
1375#102—731no—
1376#102—731no—
1377#102—731no—
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102—731no—
1384#102—731no—
1385#102—731no—
1386#102—731no—
1387#102—731no—
1388#102—731no—
1389#102—731no—
1390#102—731no—
1391#102—731no—
1392#102C22×D7311yescharacteristic
1393#102C22×D7311yescharacteristic
1394#102C22×D7311yescharacteristic
1395C22⋊C8—731no—
1396C22⋊C8—731no—
1397C22⋊C8—731no—
1398C22⋊C8—731no—
1399C22⋊C8—731no—
1400C22⋊C8—731no—
1401C22⋊C8C22×D7311yescharacteristic
1402C22⋊C8C22×D7311yescharacteristic
1403C4×C8—731no—
1404C4×C8—731no—
1405C4×C8—731no—
1406C4×C8C22×D7311yescharacteristic
1407C24—731no—
1408C24—731no—
1409C24—1461no—
1410C24—1461no—
1411#41—22no—
1412#41—41no—
1413#41—2921no—
1414#41—2924no—
1415#41—2924no—
1416#41—2921no—
1417#41—2921no—
1418#41—2924no—
1419#41—2924no—
1420#41—2924no—
1421#41—734no—
1422#41—1462no—
1423#41—1462no—
1424#41—1462no—
1425#41—1462no—
1426#41—1462no—
1427#41—1462no—
1428#41—1462no—
1429#41—1462no—
1430#41—1462no—
1431#41—1462no—
1432C2×Q8—21no—
1433C2×Q8—22no—
1434C2×Q8—41no—
1435C2×Q8—2921no—
1436C2×Q8—731no—
1437C2×Q8—1461no—
1438C2×Q8—1461no—
1439C2×Q8—1461no—
1440C2×Q8—1462no—
1441C2×Q8C23×D7311yescharacteristic
1442C2×Q8C23×D7311yescharacteristic
1443C2×Q8C23×D7311yescharacteristic
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—2921no—
1447C2×D4—2924no—
1448C2×D4—2924no—
1449C2×D4—2924no—
1450C2×D4—2921no—
1451C2×D4—2922no—
1452C2×D4—731no—
1453C2×D4—731no—
1454C2×D4—731no—
1455C2×D4—731no—
1456C2×D4—731no—
1457C2×D4—731no—
1458C2×D4—1461no—
1459C2×D4—1461no—
1460C2×D4—1461no—
1461C2×D4—1461no—
1462C2×D4—1461no—
1463C2×D4—1461no—
1464C2×D4—1462no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4—1461no—
1469C2×D4—1461no—
1470C2×D4—1462no—
1471C2×D4—1461no—
1472C2×D4—1461no—
1473C2×D4—1461no—
1474C2×D4—1461no—
1475C2×D4—1461no—
1476C2×D4—1461no—
1477C2×D4—1461no—
1478C2×D4D4×D7311yescharacteristic
1479C2×D4C23×D7311yescharacteristic
1480C22×C4—21no—
1481C22×C4—21no—
1482C22×C4—21no—
1483C22×C4—2924no—
1484C22×C4—2924no—
1485C22×C4—731no—
1486C22×C4—731no—
1487C22×C4—731no—
1488C22×C4—731no—
1489C22×C4—731no—
1490C22×C4—731no—
1491C22×C4—731no—
1492C22×C4—731no—
1493C22×C4—731no—
1494C22×C4—731no—
1495C22×C4—731no—
1496C22×C4—1461no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4—1461no—
1505C22×C4—1461no—
1506C22×C4—1462no—
1507C22×C4—1462no—
1508C22×C4—1462no—
1509C22×C4—1462no—
1510C22×C4—1461no—
1511C22×C4—1461no—
1512C22×C4—1461no—
1513C22×C4—1461no—
1514C22×C4—1461no—
1515C22×C4C23×D7311yescharacteristic
1516C22×C4C23×D7311yescharacteristic
1517Q16—22no—
1518Q16—41no—
1519Q16—2921no—
1520SD16—41no—
1521SD16—2921no—
1522SD16—2921no—
1523SD16—2921no—
1524SD16—1462no—
1525SD16—1462no—
1526D8—2921no—
1527D8—2921no—
1528D8—1462no—
1529M16—41no—
1530M16—41no—
1531M16—2921no—
1532M16—2921no—
1533M16—2921no—
1534M16—2921no—
1535M16—2921no—
1536M16—2921no—
1537C2×C8—731no—
1538C2×C8—731no—
1539C2×C8—731no—
1540C2×C8—731no—
1541C2×C8—1462no—
1542C2×C8—1462no—
1543C2×C8—1462no—
1544C2×C8—1462no—
1545C2×C8C23×D7311yescharacteristic
1546C2×C8C23×D7311yescharacteristic
1547C2×C8C23×D7311yescharacteristic
1548C2×C8C23×D7311yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—731no—
1558C4⋊C4—731no—
1559C4⋊C4—731no—
1560C4⋊C4—731no—
1561C4⋊C4—731no—
1562C4⋊C4—731no—
1563C4⋊C4—731no—
1564C4⋊C4—1461no—
1565C4⋊C4—1461no—
1566C4⋊C4—1461no—
1567C4⋊C4—1461no—
1568C4⋊C4—1461no—
1569C4⋊C4—1461no—
1570C4⋊C4—1461no—
1571C4⋊C4—1461no—
1572C4⋊C4—1461no—
1573C4⋊C4—1461no—
1574C4⋊C4—1461no—
1575C4⋊C4—1461no—
1576C4⋊C4—1461no—
1577C4⋊C4—1461no—
1578C4⋊C4—1461no—
1579C4⋊C4—1461no—
1580C4⋊C4D4×D7311yescharacteristic
1581C4⋊C4C23×D7311yescharacteristic
1582C4⋊C4C23×D7311yescharacteristic
1583C4⋊C4C23×D7311yescharacteristic
1584C4⋊C4C23×D7311yescharacteristic
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—731no—
1593C22⋊C4—731no—
1594C22⋊C4—731no—
1595C22⋊C4—731no—
1596C22⋊C4—731no—
1597C22⋊C4—731no—
1598C22⋊C4—1461no—
1599C22⋊C4—1461no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C22⋊C4—1461no—
1616C22⋊C4—1461no—
1617C22⋊C4—1461no—
1618C22⋊C4—1461no—
1619C22⋊C4—1461no—
1620C22⋊C4—1461no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4D4×D7311yescharacteristic
1624C22⋊C4D4×D7311yescharacteristic
1625C42—21no—
1626C42—21no—
1627C42—21no—
1628C42—731no—
1629C42—731no—
1630C42—731no—
1631C42—1461no—
1632C42—1461no—
1633C42—1461no—
1634C42—1461no—
1635C42—1461no—
1636C42—1461no—
1637C42—1461no—
1638C42—1461no—
1639C42—1461no—
1640C42C23×D7311yescharacteristic
1641C23—21no—
1642C23—2922no—
1643C23—2922no—
1644C23—2921no—
1645C23—2921no—
1646C23—2921no—
1647C23—2921no—
1648C23—2922no—
1649C23—2922no—
1650C23—5841no—
1651C23—5841no—
1652C23—731no—
1653C23—731no—
1654C23—731no—
1655C23—1462no—
1656C23—1462no—
1657C23—1461no—
1658C23—1461no—
1659C23—1461no—
1660C23C2×D4×D7311yescharacteristic
1661C23C2×D4×D7311yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—42no—
1668Q8—2922no—
1669Q8—2922no—
1670Q8—5841no—
1671Q8—1461no—
1672Q8—1461no—
1673Q8#41×D7312yes—
1674D4—21no—
1675D4—21no—
1676D4—41no—
1677D4—42no—
1678D4—42no—
1679D4—2922no—
1680D4—2922no—
1681D4—2921no—
1682D4—2922no—
1683D4—2922no—
1684D4—2922no—
1685D4—2922no—
1686D4—2922no—
1687D4—2922no—
1688D4—2922no—
1689D4—2922no—
1690D4—2922no—
1691D4—2922no—
1692D4—5841no—
1693D4—5841no—
1694D4—5841no—
1695D4—5841no—
1696D4—5841no—
1697D4—732no—
1698D4—1464no—
1699D4—1462no—
1700D4—1462no—
1701D4—1461no—
1702D4—1461no—
1703D4—1461no—
1704D4—1461no—
1705D4—1461no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—42no—
1718C2×C4—42no—
1719C2×C4—42no—
1720C2×C4—2922no—
1721C2×C4—2922no—
1722C2×C4—2922no—
1723C2×C4—2921no—
1724C2×C4—2922no—
1725C2×C4—2922no—
1726C2×C4—2922no—
1727C2×C4—2922no—
1728C2×C4—2922no—
1729C2×C4—2922no—
1730C2×C4—2922no—
1731C2×C4—5841no—
1732C2×C4—5841no—
1733C2×C4—5841no—
1734C2×C4—5841no—
1735C2×C4—731no—
1736C2×C4—731no—
1737C2×C4—732no—
1738C2×C4—732no—
1739C2×C4—731no—
1740C2×C4—731no—
1741C2×C4—731no—
1742C2×C4—1462no—
1743C2×C4—1464no—
1744C2×C4—1462no—
1745C2×C4—1462no—
1746C2×C4—1462no—
1747C2×C4—1462no—
1748C2×C4—1461no—
1749C2×C4—1461no—
1750C2×C4—1461no—
1751C2×C4—1461no—
1752C2×C4—1461no—
1753C2×C4—1462no—
1754C2×C4—1462no—
1755C2×C4—1461no—
1756C2×C4—1461no—
1757C2×C4—1461no—
1758C2×C4—1461no—
1759C2×C4C2×D4×D7311yescharacteristic
1760C2×C4C2×D4×D7311yescharacteristic
1761C2×C4C2×D4×D7311yescharacteristic
1762C2×C4C2×D4×D7311yescharacteristic
1763C2×C4C24×D7311yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—1461no—
1769C8—1461no—
1770C8—1461no—
1771C8—1461no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—2921no—
1782C22—2921no—
1783C22—2921no—
1784C22—2921no—
1785C22—2921no—
1786C22—2921no—
1787C22—2921no—
1788C22—2921no—
1789C22—5844no—
1790C22—5842no—
1791C22—5842no—
1792C22—5844no—
1793C22—732no—
1794C22—1461no—
1795C22—1462no—
1796C22—1461no—
1797C22—1461no—
1798C22—1461no—
1799C22—1461no—
1800C22—1461no—
1801C22—1461no—
1802C22—1461no—
1803C22C22×D4×D7311yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—22no—
1807C4—21no—
1808C4—21no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—2921no—
1816C4—2921no—
1817C4—2921no—
1818C4—2921no—
1819C4—2921no—
1820C4—732no—
1821C4—732no—
1822C4—1461no—
1823C4—1461no—
1824C4—1461no—
1825C4C2×#41×D7311yescharacteristic
1826C4H(5,𝔽2)×D7311yescharacteristic
1827C2—41no—
1828C2—41no—
1829C2—81no—
1830C2—2922no—
1831C2—2921no—
1832C2—2921no—
1833C2—5841no—
1834C2—5841no—
1835C2—1462no—
1836C2#546×D7311yescharacteristic
1837C2#575×D7311yescharacteristic
1838C2#2262470111yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3327C2
socleC22×C73C23×D4
hypercenter#3327D73
hypocenterC73#61154
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3327

Complements

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

NH ≅ G/Ntype
1. #22623484C2semidirect
2. #22623420C2semidirect
3. #22622262C2semidirect
4. #22622254C2semidirect
5. #22622242C2semidirect
6. #22622234C2semidirect
7. #22622221C2semidirect
8. #22622207C2semidirect
9. #22622204C2semidirect
10. #22622184C2semidirect
11. #22622181C2semidirect
12. #22622171C2semidirect
13. #22622157C2semidirect
14. #22622154C2semidirect
15. #22622141C2semidirect
16. #22622134C2semidirect
17. #22622131C2semidirect
18. #22620252C2semidirect
19. #22619847C2semidirect
20. #22619843C2semidirect
21. #22619718C2semidirect
22. #22619542C2semidirect
23. #22619535C2semidirect
24. #22619385C2semidirect
25. #22619154C2semidirect
26. #22619152C2semidirect
27. C4×#14556614C2semidirect
28. #436×D73C2semidirect
29. #22618449C2semidirect
30. #22618447C2semidirect
31. C73×#3327C2semidirect
35. C2×#14556614C22semidirect
36. C2×#14556612C22semidirect
37. C2×M16×D73C22semidirect
38. C2×M16×D73C22semidirect
41. #17989295C22semidirect
42. #17989290C22semidirect
43. #17989283C22semidirect
44. #17989278C22semidirect
53. #17989238C22semidirect
61. #17989143C22semidirect
69. #17989100C22semidirect
70. #17989100C22semidirect
74. C4×#11924029C22semidirect
78. C2×#14556549C22semidirect
79. #117×D73C22semidirect
80. #17988944C22semidirect
81. #17988942C22semidirect
82. #17988941C22semidirect
83. #17988936C22semidirect
84. #17988936C22semidirect
85. #17988932C22semidirect
86. #17988932C22semidirect
87. #17988929C22semidirect
88. #17988928C22semidirect
89. #17988927C22semidirect
90. #17988927C22semidirect
91. #17988924C22semidirect
92. #17988919C22semidirect
93. #17988915C22semidirect
94. #17988914C22semidirect
95. #17988914C22semidirect
96. #17988908C22semidirect
97. #17988905C22semidirect
98. #17988904C22semidirect
99. #17988901C22semidirect
100. #17988899C22semidirect
101. #17988894C22semidirect
102. #17988888C22semidirect
103. #17988884C22semidirect
104. #17988880C22semidirect
105. #17988876C22semidirect
106. #17988870C22semidirect
107. #17988866C22semidirect
108. #17988844C22semidirect
109. #17988843C22semidirect
110. #17988842C22semidirect
111. #17988841C22semidirect
112. #17988840C22semidirect
113. #17988839C22semidirect
114. #17988838C22semidirect
115. #17988836C22semidirect
116. #17988836C22semidirect
117. #17988835C22semidirect
118. #17988835C22semidirect
119. #17988834C22semidirect
120. #17988833C22semidirect
121. #17988830C22semidirect
122. #17988809C22semidirect
123. #17988803C22semidirect
124. #17988799C22semidirect
125. #17988795C22semidirect
126. #17988791C22semidirect
127. #17988785C22semidirect
128. #17988781C22semidirect
129. #17988748C22semidirect
130. #17988748C22semidirect
131. #17988747C22semidirect
132. #17988741C22semidirect
133. #17988737C22semidirect
134. #17988736C22semidirect
135. #17988735C22semidirect
136. #17988735C22semidirect
137. #17988734C22semidirect
138. #17988732C22semidirect
139. #17988727C22semidirect
140. #17988726C22semidirect
141. #17988723C22semidirect
142. #17988722C22semidirect
143. Q16×Dic73C22semidirect
144. C4×#11924015C22semidirect
145. C4×#11924015C22semidirect
146. #17988672C22semidirect
147. #17988672C22semidirect
148. C4×D584C22semidirect
149. #17988669C22semidirect
150. #17988666C22semidirect
151. #17988665C22semidirect
152. #17988664C22semidirect
154. #17988663C22semidirect
156. #17988662C22semidirect
157. #17988624C22semidirect
158. #17988624C22semidirect
159. #17988622C22semidirect
160. C4⋊C8×D73C22semidirect
161. #17988596C22semidirect
162. #17988594C22semidirect
163. #17988594C22semidirect
164. #17988593C22semidirect
165. #17988591C22semidirect
166. #17988590C22semidirect
167. #17988590C22semidirect
168. #17988589C22semidirect
169. #17988588C22semidirect
170. #17988587C22semidirect
171. #17988587C22semidirect
172. #17988587C22semidirect
173. #17988587C22semidirect
174. #17988586C22semidirect
178. #17988582C22semidirect
179. #17988582C22semidirect
180. #17988582C22semidirect
181. #17988582C22semidirect
182. #17988580C22semidirect
183. #17988580C22semidirect
184. #17988580C22semidirect
185. C22⋊C8×D73C22semidirect
186. C22⋊C8×D73C22semidirect
187. C4×C8×D73C22semidirect
188. #552×C73C22semidirect
190. #488×C73C22semidirect
191. #484×C73C22semidirect
192. #482×C73C22semidirect
193. #479×C73C22semidirect
194. #470×C73C22semidirect
195. #468×C73C22semidirect
196. #464×C73C22semidirect
197. #452×C73C22semidirect
198. #451×C73C22semidirect
199. C4×Q16×C73C22semidirect
200. #436×C73C22semidirect
201. #419×C73C22semidirect
202. #417×C73C22semidirect
502. #11924029#41semidirect
929. #3327D73semidirect
951. C73#61154semidirect
966. #552C2×D73semidirect
1005. #488C2×D73semidirect
1015. #484C2×D73semidirect
1021. #482C2×D73semidirect
1027. #479C2×D73semidirect
1037. #470C2×D73semidirect
1049. #468C2×D73semidirect
1051. #464C2×D73semidirect
1061. #452C2×D73semidirect
1063. #451C2×D73semidirect
1075. C4×Q16C2×D73semidirect
1089. #436C2×D73semidirect
1097. #419C2×D73semidirect
1109. #417C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226234842
#226234202
#226222622
#226222542
#226222422
#226222342
#226222212
#226222072
#226222042
#226221842
#226221812
#226221712
#226221572
#226221542
#226221412
#226221342
#226221312
#226202522
#226198472
#226198432
#226197182
#226195422
#226195352
#226193852
#226191542
#226191522
C4×#145566142
#436×D732
#226184492
#226184472
C73×#33272
#6115473