Finite Group Databasebeta

← #33971924

Subgroups — #33971924

Order 18688.

2118 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624201C211yesmaximal, characteristic, complemented
2#22623597C211yesmaximal, characteristic, complemented
3#22622167C211yesmaximal, characteristic, complemented
4#22622160C211yesmaximal, characteristic, complemented
5#22622090C211yesmaximal, characteristic, complemented
6#22621998C211yesmaximal, characteristic, complemented
7#22621966C211yesmaximal, characteristic, complemented
8#22621877C211yesmaximal, characteristic, complemented
9#22621867C211yesmaximal, characteristic, complemented
10#22621635C211yesmaximal, characteristic, complemented
11#22621611C211yesmaximal, characteristic, complemented
12#22621584C211yesmaximal, characteristic, complemented
13#22621565C211yesmaximal, characteristic, complemented
14#22621514C211yesmaximal, characteristic, complemented
15#22621473C211yesmaximal, characteristic, complemented
16#22621431C211yesmaximal, characteristic, complemented
17#22621418C211yesmaximal, characteristic, complemented
18#22621026C211yesmaximal, characteristic, complemented
19#22621024C211yesmaximal, characteristic, complemented
20#22620819C211yesmaximal, characteristic, complemented
21#22620786C211yesmaximal, characteristic, complemented
22#22620740C211yesmaximal, characteristic, complemented
23#22620700C211yesmaximal, characteristic, complemented
24#22620215C211yesmaximal, characteristic, complemented
25#22620191C211yesmaximal, characteristic, complemented
26#22619211C211yesmaximal, characteristic, complemented
27#22619196C211yesmaximal, characteristic, complemented
28#22619177C211yesmaximal, characteristic, complemented
29#22619148C211yesmaximal, characteristic, complemented
30#22618978C211yesmaximal, characteristic, complemented
31C73×#3321C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C22×#11924029C2211yescharacteristic, complemented
34C2×#14556622C2211yescharacteristic, complemented
35C2×#14556621C2211yescharacteristic, complemented
36C2×#14556619C2211yescharacteristic, complemented
37C2×#14556618C2211yescharacteristic, complemented
38C2×#14556612C2211yescharacteristic, complemented
39C2×#14556612C2211yescharacteristic, complemented
40C22×#11924017C2211yescharacteristic, complemented
41C2×D8×D73C2211yescharacteristic, complemented
42#17989329—21no—
43#17989325—21no—
44#17989319—21no—
45#17989311C2211yescharacteristic, complemented
46#17989305C2211yescharacteristic, complemented
47#17989300C2211yescharacteristic, complemented
48#17989261—21no—
49#17989259C2211yescharacteristic
50#17989256C2211yescharacteristic, complemented
51#17989248C2211yescharacteristic
52#17989246C2211yescharacteristic, complemented
53#17989243C2211yescharacteristic, complemented
54#17989234C2211yescharacteristic, complemented
55#17989232C2211yescharacteristic, complemented
56#17989230—21no—
57#17989230C2211yescharacteristic
58#17989228—21no—
59#17989228C2211yescharacteristic, complemented
60D4×D292—21no—
61D4×D292C2211yescharacteristic, complemented
62#17989221—21no—
63#17989221C2211yescharacteristic
64#17989211C2211yescharacteristic, complemented
65#17989208—21no—
66#17989206—21no—
67#17989202C2211yescharacteristic, complemented
68#17989174—21no—
69#17989171—21no—
70#17989167—21no—
71#17989167C2211yescharacteristic
72#17989163C2211yescharacteristic, complemented
73#17989155—21no—
74#17989155C2211yescharacteristic, complemented
75#17989153C2211yescharacteristic, complemented
76#17989099C2211yescharacteristic, complemented
77#17989097C2211yescharacteristic, complemented
78#17989096—21no—
79#17989096C2211yescharacteristic
80#121×D73—21no—
81#121×D73C2211yescharacteristic, complemented
82#17989069C2211yescharacteristic, complemented
83#17988976C2211yescharacteristic, complemented
84#17988975C2211yescharacteristic, complemented
85#17988969C2211yescharacteristic, complemented
86#17988968C2211yescharacteristic, complemented
87#17988948C2211yescharacteristic, complemented
88#17988935C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988927C2211yescharacteristic, complemented
91#17988924C2211yescharacteristic, complemented
92#17988919C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic, complemented
96#17988911C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic, complemented
98#17988907C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988880C2211yescharacteristic, complemented
101#17988874C2211yescharacteristic, complemented
102#17988866C2211yescharacteristic, complemented
103#17988844C2211yescharacteristic, complemented
104#17988838C2211yescharacteristic, complemented
105#17988838C2211yescharacteristic, complemented
106#17988835C2211yescharacteristic, complemented
107#17988834C2211yescharacteristic, complemented
108#17988833C2211yescharacteristic, complemented
109#17988831C2211yescharacteristic, complemented
110#17988827C2211yescharacteristic, complemented
111#17988824C2211yescharacteristic, complemented
112#17988823C2211yescharacteristic, complemented
113#17988822C2211yescharacteristic, complemented
114#17988817C2211yescharacteristic, complemented
115#17988817C2211yescharacteristic, complemented
116#17988815C2211yescharacteristic, complemented
117#17988812C2211yescharacteristic, complemented
118#17988809C2211yescharacteristic, complemented
119#17988807C2211yescharacteristic, complemented
120#17988806C2211yescharacteristic, complemented
121#17988805C2211yescharacteristic, complemented
122#17988803C2211yescharacteristic, complemented
123#17988801C2211yescharacteristic, complemented
124#17988788C2211yescharacteristic, complemented
125#17988786C2211yescharacteristic, complemented
126#17988782C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic, complemented
129#17988752C2211yescharacteristic, complemented
130#17988752C2211yescharacteristic, complemented
131#17988752C2211yescharacteristic, complemented
132#17988752C2211yescharacteristic, complemented
133#17988752C2211yescharacteristic, complemented
134#17988752C2211yescharacteristic, complemented
135#17988752C2211yescharacteristic, complemented
136#17988743C2211yescharacteristic, complemented
137#17988742C2211yescharacteristic, complemented
138#17988740C2211yescharacteristic, complemented
139#17988739C2211yescharacteristic, complemented
140#17988739C2211yescharacteristic, complemented
141#17988739C2211yescharacteristic, complemented
142#17988739C2211yescharacteristic, complemented
143#17988736C2211yescharacteristic, complemented
144#17988735C2211yescharacteristic
145#17988735C2211yescharacteristic, complemented
146#17988735C2211yescharacteristic, complemented
147#17988735C2211yescharacteristic, complemented
148#17988734C2211yescharacteristic, complemented
149#17988733C2211yescharacteristic, complemented
150#17988732C2211yescharacteristic, complemented
151#17988731C2211yescharacteristic
152#17988731C2211yescharacteristic, complemented
153#17988730C2211yescharacteristic, complemented
154#17988729C2211yescharacteristic, complemented
155#17988728C2211yescharacteristic, complemented
156#17988723C2211yescharacteristic, complemented
157#17988722C2211yescharacteristic, complemented
158#17988722C2211yescharacteristic, complemented
159#17988720C2211yescharacteristic, complemented
160#17988720C2211yescharacteristic, complemented
161#17988719C2211yescharacteristic, complemented
162#17988698C2211yescharacteristic, complemented
163#17988691C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic, complemented
165C4×#11924018C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic, complemented
167#17988672C2211yescharacteristic, complemented
168C4×#11924013C2211yescharacteristic, complemented
169#17988665C2211yescharacteristic, complemented
170#17988662C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic, complemented
172#17988660C2211yescharacteristic, complemented
173#17988656C2211yescharacteristic, complemented
174#17988652C2211yescharacteristic, complemented
175C8×C22⋊D73C2211yescharacteristic, complemented
176#17988649C2211yescharacteristic, complemented
177#17988647C2211yescharacteristic, complemented
178#17988591C2211yescharacteristic, complemented
179#17988591C2211yescharacteristic, complemented
180#17988590C2211yescharacteristic, complemented
181#17988582C2211yescharacteristic, complemented
182#17988582C2211yescharacteristic, complemented
183#17988582C2211yescharacteristic, complemented
184#17988553C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988550C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188#555×C73C2211yescharacteristic, complemented
189#548×C73C2211yescharacteristic, complemented
190#489×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#475×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#448×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#419×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203#14556637—42no—
204#14556637—42no—
205C2×#11924029—21no—
206C2×#11924029—21no—
207C2×#11924029—42no—
208C2×#11924029—42no—
209C2×#11924029C2311yescharacteristic
210C2×#11924029C2311yescharacteristic
211C2×#11924029C2311yescharacteristic
212C2×#11924029C2311yescharacteristic
213C2×#11924029C2311yescharacteristic
214C2×#11924028—21no—
215C2×#11924028C2311yescharacteristic
216C2×#11924028C2311yescharacteristic
217C2×#11924027C2311yescharacteristic
218C22×Dic146C2311yescharacteristic
219C22×D292—21no—
220C22×D292—21no—
221C22×D292C2311yescharacteristic
222C22×D292C2311yescharacteristic
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73C2311yescharacteristic
229C2×D4×D73C2311yescharacteristic
230C2×D4×D73C2311yescharacteristic
231C22×C4×D73—21no—
232C22×C4×D73C2311yescharacteristic
233#14556622—42no—
234#14556621—42no—
235#14556619—42no—
236#14556618—42no—
237#14556612—42no—
238#14556612—42no—
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×#11924016C2311yescharacteristic
252C2×#11924015C2311yescharacteristic
253C2×#11924015C2311yescharacteristic
254C2×D584C2311yescharacteristic
255C2×D584C2311yescharacteristic
256C2×D584C2311yescharacteristic
257C2×#11924013C2311yescharacteristic
258C2×#11924013C2311yescharacteristic
259C2×#11924013C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261D8×D73—42no—
262C2×#11924012C2311yescharacteristic
263C2×#11924012C2311yescharacteristic
264C2×#11924011C2311yescharacteristic
265C2×C8×D73C2311yescharacteristic
266C2×C8×D73C2311yescharacteristic
267C2×C8×D73C2311yescharacteristic
268#14556591—21no—
269#14556590C2311yescharacteristic
270#14556588—21no—
271#14556588C2311yescharacteristic
272#14556587—21no—
273#14556587—21no—
274#14556587C2311yescharacteristic
275#14556586—21no—
276#14556586—21no—
277#14556586—21no—
278#14556585—21no—
279#14556584—21no—
280#14556584—21no—
281#14556580—21no—
282#14556580—21no—
283#14556580—21no—
284#14556580C2311yescharacteristic
285#14556579—21no—
286#14556579—21no—
287#14556579C2311yescharacteristic
288#14556578C2311yescharacteristic
289#14556577—21no—
290#14556577—21no—
291#14556577—21no—
292#14556577—21no—
293#14556577—21no—
294#14556577—21no—
295#14556576—21no—
296#14556576—21no—
297#14556576D411yescharacteristic
298#14556575—21no—
299#14556575—21no—
300#14556575—21no—
301#14556575—21no—
302#14556574—21no—
303#14556573—21no—
304#14556573—21no—
305#14556573—21no—
306#14556573D411yescharacteristic
307#14556571C2311yescharacteristic
308#14556571C2311yescharacteristic
309#14556571C2311yescharacteristic
310#14556571C2311yescharacteristic
311#14556571C2311yescharacteristic
312#14556570—21no—
313#14556570C2311yescharacteristic
314#14556569—21no—
315#14556569—21no—
316#14556569D411yescharacteristic
317#14556568—21no—
318#14556568D411yescharacteristic
319#14556567—21no—
320#14556567—21no—
321#14556567C2311yescharacteristic
322#14556566—21no—
323#14556566—21no—
324#14556566—21no—
325#14556566—21no—
326#14556566—21no—
327#14556566C2311yescharacteristic
328#14556566C2311yescharacteristic
329#14556566C2311yescharacteristic
330#14556566C2311yescharacteristic
331#14556565—21no—
332#14556565—21no—
333#14556565—21no—
334#14556565C2311yescharacteristic
335#14556565C2311yescharacteristic
336#14556565C2311yescharacteristic
337#14556564—21no—
338#14556564—21no—
339#14556564—21no—
340#14556564—21no—
341#14556564—21no—
342#14556564—21no—
343#14556564—21no—
344#14556564—21no—
345#14556564D411yescharacteristic
346#14556563—21no—
347#14556563—21no—
348#14556563—21no—
349#14556563D411yescharacteristic
350#14556562—21no—
351#14556562—21no—
352#14556562C2311yescharacteristic
353#14556562C2311yescharacteristic
354#14556561—21no—
355#14556561—21no—
356#14556561—21no—
357#14556561—21no—
358#14556561—21no—
359#14556561—21no—
360#14556561—21no—
361#14556561—21no—
362#14556561—21no—
363#14556561—21no—
364#14556561D411yescharacteristic
365#14556559—21no—
366#14556559—21no—
367#14556559—21no—
368#14556559—21no—
369#14556559D411yescharacteristic
370Q8×Dic73—21no—
371Q8×Dic73C2311yescharacteristic
372C4×Dic146—21no—
373C4×Dic146C2311yescharacteristic
374#14556556C2311yescharacteristic
375C4×D292—21no—
376C4×D292—21no—
377C4×D292—21no—
378C4×D292—21no—
379C4×D292C2311yescharacteristic
380C4×D292C2311yescharacteristic
381D4×Dic73—21no—
382D4×Dic73—21no—
383#14556553—21no—
384#14556553C2311yescharacteristic
385#14556553C2311yescharacteristic
386C4×C22⋊D73—21no—
387C4×C22⋊D73—21no—
388C4×C22⋊D73C2311yescharacteristic
389C4×C22⋊D73C2311yescharacteristic
390#14556551—21no—
391#14556551—21no—
392#14556549C2311yescharacteristic
393#14556549C2311yescharacteristic
394#14556548—21no—
395#14556548—21no—
396#14556548C2311yescharacteristic
397C4⋊C4×D73—21no—
398C4⋊C4×D73C2311yescharacteristic
399C2×#11924005—21no—
400C22⋊C4×D73—21no—
401C22⋊C4×D73—21no—
402C22⋊C4×D73—21no—
403C22⋊C4×D73—21no—
404#14556525C2311yescharacteristic
405#14556524C2311yescharacteristic
406#14556524C2311yescharacteristic
407#14556522C2311yescharacteristic
408#14556522C2311yescharacteristic
409C4⋊#10596831C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556520C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556503C2311yescharacteristic
444#14556501C2311yescharacteristic
445C4×#10596831C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C22×Q8×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C2×M16×C73C2311yescharacteristic
453C22×C8×C73C2311yescharacteristic
454C4⋊Q8×C73C2311yescharacteristic
455#124×C73—21no—
456#124×C73—21no—
457#124×C73—21no—
458#124×C73C2311yescharacteristic
459C22⋊Q8×C73—21no—
460C22⋊Q8×C73C2311yescharacteristic
461#121×C73—21no—
462#121×C73—21no—
463#121×C73C2311yescharacteristic
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466C4×Q8×C73C2311yescharacteristic
467C4×D4×C73—21no—
468C4×D4×C73C2311yescharacteristic
469C4×D4×C73C2311yescharacteristic
470#117×C73—21no—
471#117×C73C2311yescharacteristic
472#117×C73C2311yescharacteristic
473#107×C73C2311yescharacteristic
474#106×C73C2311yescharacteristic
475#106×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489#97×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73—21no—
495C23×D73C2×D411yescharacteristic
496#11924029—22no—
497#11924029—22no—
498#11924029—22no—
499#11924029—22no—
500#11924029—22no—
501#11924029—41no—
502#11924029—41no—
503#11924029—41no—
504#11924029—41no—
505#11924029—41no—
506#11924029—44no—
507#11924029—44no—
508#11924028—41no—
509#11924028—41no—
510#11924028—41no—
511#11924028—41no—
512#11924028—44no—
513#11924027—41no—
514#11924027—41no—
515C2×Dic146—21no—
516C2×Dic146—21no—
517C2×Dic146—41no—
518C2×Dic146—41no—
519C2×Dic146C2×D411yescharacteristic
520C2×Dic146C2411yescharacteristic
521C2×Dic146C2411yescharacteristic
522C2×D292—21no—
523C2×D292—22no—
524C2×D292—22no—
525C2×D292—21no—
526C2×D292—21no—
527C2×D292—21no—
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—21no—
537C2×D292—41no—
538C2×D292—41no—
539C2×D292—44no—
540C2×D292—44no—
541C2×D292C2×D411yescharacteristic
542C2×D292C2×D411yescharacteristic
543C2×D292C2411yescharacteristic
544C2×D292C2411yescharacteristic
545C2×D292C2411yescharacteristic
546C2×D292C2411yescharacteristic
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—21no—
552C2×C22⋊D73—21no—
553C2×C22⋊D73—21no—
554C2×C22⋊D73—21no—
555C2×C22⋊D73—21no—
556C2×C22⋊D73—21no—
557C2×C22⋊D73—21no—
558C2×C22⋊D73—21no—
559C2×C22⋊D73C2×D411yescharacteristic
560C2×C22⋊D73C2×D411yescharacteristic
561C2×C22⋊D73C2×D411yescharacteristic
562C2×C22⋊D73C2×D411yescharacteristic
563D4×D73—22no—
564D4×D73—41no—
565D4×D73—41no—
566D4×D73—41no—
567D4×D73—41no—
568D4×D73—41no—
569D4×D73—44no—
570D4×D73—44no—
571D4×D73—82no—
572D4×D73—82no—
573D4×D73—82no—
574C22×Dic73—21no—
575C22×Dic73—21no—
576C22×Dic73C2×D411yescharacteristic
577C2×C4×D73—21no—
578C2×C4×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73—21no—
582C2×C4×D73—21no—
583C2×C4×D73—21no—
584C2×C4×D73—21no—
585C2×C4×D73—21no—
586C2×C4×D73—21no—
587C2×C4×D73—41no—
588C2×C4×D73—41no—
589C2×C4×D73—44no—
590C2×C4×D73C2×D411yescharacteristic
591C2×C4×D73C2×D411yescharacteristic
592C2×C4×D73C2411yescharacteristic
593C2×C4×D73C2411yescharacteristic
594C2×C4×D73C2411yescharacteristic
595#11924018—22no—
596#11924018—22no—
597#11924018—41no—
598#11924018—41no—
599#11924017—22no—
600#11924017—22no—
601#11924017—41no—
602#11924017—41no—
603#11924017—41no—
604#11924017—41no—
605#11924016—41no—
606#11924016—41no—
607#11924015—22no—
608#11924015—41no—
609D584—22no—
610D584—41no—
611D584—41no—
612#11924013—22no—
613#11924013—41no—
614#11924013—41no—
615#11924013—41no—
616#11924012—41no—
617#11924012—41no—
618#11924011—41no—
619C2×#10596831C2411yescharacteristic
620C2×#10596831C2411yescharacteristic
621C2×#10596831C2411yescharacteristic
622C2×#10596831C2411yescharacteristic
623C8×D73—41no—
624C8×D73—41no—
625C8×D73—41no—
626C4⋊Dic73—21no—
627C4⋊Dic73—21no—
628C4⋊Dic73—21no—
629C4⋊Dic73—21no—
630C4⋊Dic73—21no—
631C4⋊Dic73—21no—
632C4⋊Dic73C2×D411yescharacteristic
633C4⋊Dic73C2411yescharacteristic
634C4⋊Dic73C2411yescharacteristic
635#11924007—21no—
636#11924007—21no—
637#11924007—21no—
638#11924007—21no—
639#11924007—21no—
640#11924007—21no—
641#11924007C2×D411yescharacteristic
642#11924007C2×D411yescharacteristic
643#11924007C2×D411yescharacteristic
644#11924007C2×D411yescharacteristic
645C22⋊Dic73—21no—
646C22⋊Dic73—21no—
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73—21no—
650C22⋊Dic73C2×D411yescharacteristic
651C22⋊Dic73C2×D411yescharacteristic
652#11924005—21no—
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#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005—21no—
674#11924005C2×D411yescharacteristic
675#11924005C2×D411yescharacteristic
676#11924005C2×D411yescharacteristic
677#11924005C2×D411yescharacteristic
678#11924005C2×D411yescharacteristic
679#11924005C2×D411yescharacteristic
680C4×Dic73—21no—
681C4×Dic73—21no—
682C4×Dic73—21no—
683C4×Dic73—21no—
684C4×Dic73—21no—
685C4×Dic73C2411yescharacteristic
686#41×C73—22no—
687#41×C73—41no—
688C2×Q8×C73—21no—
689C2×Q8×C73—21no—
690C2×Q8×C73—22no—
691C2×Q8×C73—41no—
692C2×Q8×C73C2411yescharacteristic
693C2×Q8×C73C2411yescharacteristic
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73—21no—
698C2×D4×C73C2×D411yescharacteristic
699C2×D4×C73C2411yescharacteristic
700C2×D4×C73C2411yescharacteristic
701C22×C4×C73—21no—
702C22×C4×C73—21no—
703C22×C4×C73—21no—
704C22×C4×C73C2411yescharacteristic
705C22×C4×C73C2411yescharacteristic
706SD16×C73—22no—
707SD16×C73—41no—
708D8×C73—41no—
709M16×C73—41no—
710C2×C8×C73—41no—
711C2×C8×C73C2411yescharacteristic
712C2×C8×C73C2411yescharacteristic
713C2×C8×C73C2411yescharacteristic
714C2×C8×C73C2411yescharacteristic
715C4⋊C4×C73—21no—
716C4⋊C4×C73—21no—
717C4⋊C4×C73—21no—
718C4⋊C4×C73C2×D411yescharacteristic
719C4⋊C4×C73C2411yescharacteristic
720C4⋊C4×C73C2411yescharacteristic
721C4⋊C4×C73C2411yescharacteristic
722C4⋊C4×C73C2411yescharacteristic
723C22⋊C4×C73—21no—
724C22⋊C4×C73—21no—
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×C73C2×D411yescharacteristic
733C22⋊C4×C73C2×D411yescharacteristic
734C42×C73—21no—
735C42×C73—21no—
736C42×C73—21no—
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73—21no—
740C23×C73C22×D411yescharacteristic
741C23×C73C22×D411yescharacteristic
742C22×D73—21no—
743C22×D73—21no—
744C22×D73—21no—
745C22×D73—21no—
746C22×D73—41no—
747C22×D73—41no—
748C22×D73—41no—
749C22×D73—42no—
750C22×D73—42no—
751C22×D73—42no—
752C22×D73—42no—
753C22×D73—42no—
754C22×D73—81no—
755C22×D73—81no—
756C22×D73—81no—
757C22×D73—81no—
758C22×D73—81no—
759C22×D73—81no—
760C22×D73—81no—
761C22×D73—81no—
762C22×D73—81no—
763C22×D73—81no—
764C22×D73C22×D411yescharacteristic
765C22×D73C22×D411yescharacteristic
766C22×D73C22×D411yescharacteristic
767Q8×C73—21no—
768Q8×C73—21no—
769Q8×C73—21no—
770Q8×C73—42no—
771Q8×C73—81no—
772Q8×C73H(5,𝔽2)12yes—
773D4×C73—21no—
774D4×C73—21no—
775D4×C73—21no—
776D4×C73—21no—
777D4×C73—41no—
778D4×C73—42no—
779D4×C73—42no—
780D4×C73—81no—
781D4×C73—81no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—21no—
786C2×C4×C73—21no—
787C2×C4×C73—21no—
788C2×C4×C73—21no—
789C2×C4×C73—21no—
790C2×C4×C73—21no—
791C2×C4×C73—21no—
792C2×C4×C73—42no—
793C2×C4×C73—42no—
794C2×C4×C73—81no—
795C2×C4×C73C22×D411yescharacteristic
796C2×C4×C73C22×D411yescharacteristic
797C2×C4×C73C22×D411yescharacteristic
798C2×C4×C73C22×D411yescharacteristic
799C2×C4×C73C2511yescharacteristic
800C22⋊D73—41no—
801C22⋊D73—41no—
802C22⋊D73—41no—
803C22⋊D73—41no—
804C22⋊D73—42no—
805C22⋊D73—42no—
806C22⋊D73—42no—
807C22⋊D73—81no—
808C22⋊D73—81no—
809C22⋊D73—81no—
810C22⋊D73—81no—
811C22⋊D73—81no—
812C22⋊D73—81no—
813C22⋊D73—81no—
814C22⋊D73—81no—
815C22⋊D73—81no—
816C2×Dic73—21no—
817C2×Dic73—21no—
818C2×Dic73—21no—
819C2×Dic73—21no—
820C2×Dic73—41no—
821C2×Dic73—81no—
822C2×Dic73—81no—
823C2×Dic73C22×D411yescharacteristic
824C2×Dic73C22×D411yescharacteristic
825C2×Dic73C22×D411yescharacteristic
826C2×Dic73C22×D411yescharacteristic
827C2×Dic73C22×D411yescharacteristic
828D292—24no—
829D292—21no—
830D292—21no—
831D292—21no—
832D292—21no—
833D292—21no—
834D292—21no—
835D292—21no—
836D292—41no—
837D292—41no—
838D292—42no—
839D292—42no—
840D292—42no—
841D292—42no—
842D292—42no—
843D292—42no—
844D292—81no—
845D292—81no—
846D292—81no—
847D292—81no—
848D292—81no—
849D292—81no—
850D292H(5,𝔽2)12yes—
851C4×D73—24no—
852C4×D73—21no—
853C4×D73—21no—
854C4×D73—21no—
855C4×D73—21no—
856C4×D73—21no—
857C4×D73—21no—
858C4×D73—41no—
859C4×D73—41no—
860C4×D73—42no—
861C4×D73—42no—
862C4×D73—42no—
863C4×D73—42no—
864C4×D73—81no—
865C4×D73—81no—
866C4×D73—81no—
867C4×D73—81no—
868C4×D73—81no—
869Dic146—21no—
870Dic146—21no—
871Dic146—21no—
872Dic146—21no—
873Dic146—41no—
874Dic146—81no—
875Dic146—81no—
876C8×C73—21no—
877C8×C73—21no—
878C8×C73—21no—
879C8×C73—21no—
880#10596831—21no—
881#10596831—21no—
882#10596831—21no—
883#10596831—21no—
884C22×C73—21no—
885C22×C73—21no—
886C22×C73—21no—
887C22×C73—21no—
888C22×C73—21no—
889C22×C73—21no—
890C22×C73—41no—
891C22×C73—41no—
892C22×C73—41no—
893C22×C73—41no—
894C22×C73—41no—
895C22×C73—41no—
896C22×C73C23×D411yescharacteristic
897C2×D73—21no—
898C2×D73—21no—
899C2×D73—21no—
900C2×D73—21no—
901C2×D73—21no—
902C2×D73—21no—
903C2×D73—21no—
904C2×D73—22no—
905C2×D73—21no—
906C2×D73—21no—
907C2×D73—41no—
908C2×D73—41no—
909C2×D73—41no—
910C2×D73—41no—
911C2×D73—41no—
912C2×D73—41no—
913C2×D73—41no—
914C2×D73—41no—
915C2×D73—41no—
916C2×D73—41no—
917C2×D73—41no—
918C2×D73—82no—
919C2×D73—84no—
920C2×D73—162no—
921C2×D73—162no—
922C2×D73—162no—
923C2×D73—162no—
924C4×C73—21no—
925C4×C73—21no—
926C4×C73—21no—
927C4×C73—22no—
928C4×C73—21no—
929C4×C73—41no—
930C4×C73—41no—
931C4×C73—41no—
932C4×C73—41no—
933C4×C73—41no—
934C4×C73C2×H(5,𝔽2)11yescharacteristic
935C4×C73C2×H(5,𝔽2)11yescharacteristic
936Dic73—21no—
937Dic73—21no—
938Dic73—21no—
939Dic73—21no—
940Dic73—21no—
941Dic73—41no—
942Dic73—41no—
943Dic73—41no—
944Dic73—41no—
945#61625—731nomaximal, Sylow
946C2×C73—41no—
947C2×C73—41no—
948C2×C73—81no—
949C2×C73—81no—
950C2×C73#348411yescharacteristic
951C2×C73#358411yescharacteristic
952C2×C73#358511yescharacteristic
953D73—41no—
954D73—41no—
955D73—41no—
956D73—42no—
957D73—81no—
958D73—81no—
959D73—81no—
960#3540—731no—
961#3488—731no—
962#3325—731no—
963#3324—731no—
964#3321D7311yescharacteristic, complemented
965#3319—731no—
966#3313—731no—
967#3311—731no—
968#3305—731no—
969#3304—731no—
970#3282—731no—
971#3280—731no—
972#3277—731no—
973#3275—731no—
974#3271—731no—
975#3268—731no—
976#3265—731no—
977#3264—731no—
978#3224—731no—
979#3224—731no—
980#3201—731no—
981#3198—731no—
982#3194—731no—
983#3188—731no—
984#3125—731no—
985#3124—731no—
986#3009—731no—
987#3008—731no—
988#3005—731no—
989#3002—731no—
990#2976—731no—
991C73#6162511yescharacteristic, complemented, Sylow
992C2×H(5,𝔽2)—731no—
993C22×#41—731no—
994C2×#137—731no—
995C2×#137—731no—
996C2×AGL(1,ℤ/8)—731no—
997C2×AGL(1,ℤ/8)—731no—
998C2×#135—731no—
999C2×#135—731no—
1000C22×SD16—731no—
1001C22×D8—731no—
1002H(3,𝔽4)—1461no—
1003#560—1461no—
1004#559—1461no—
1005#556—731no—
1006#556—731no—
1007#555—731no—
1008#555C2×D7311yescharacteristic, complemented
1009#551—1461no—
1010#550—731no—
1011#550—731no—
1012#548—731no—
1013#548—731no—
1014#548—731no—
1015#548C2×D7311yescharacteristic, complemented
1016#546—731no—
1017#546—731no—
1018#546—731no—
1019#546—731no—
1020#546—1461no—
1021#546—1461no—
1022D42—731no—
1023D42—731no—
1024D42—1461no—
1025D42—1461no—
1026#542—731no—
1027#542—731no—
1028#542—1461no—
1029#542—1461no—
1030#538—1461no—
1031#538—1461no—
1032#537—731no—
1033#537—1461no—
1034#536—731no—
1035#535—731no—
1036#535—731no—
1037#535—1461no—
1038#525—731no—
1039#525—731no—
1040#525—731no—
1041#525—1461no—
1042C2×#121—731no—
1043C2×#121—1461no—
1044#520—731no—
1045#496—731no—
1046#496—731no—
1047#495—731no—
1048#495—731no—
1049#489—731no—
1050#489C2×D7311yescharacteristic, complemented
1051#486—731no—
1052#486—731no—
1053#485—731no—
1054#485C2×D7311yescharacteristic, complemented
1055#484—731no—
1056#483—731no—
1057#482—731no—
1058#482—731no—
1059#482—731no—
1060#482—731no—
1061#482—731no—
1062#482C2×D7311yescharacteristic, complemented
1063#481—731no—
1064#480—731no—
1065#477—731no—
1066#476—731no—
1067#475C2×D7311yescharacteristic, complemented
1068#474—731no—
1069#470—731no—
1070#469—731no—
1071#469—731no—
1072#469C2×D7311yescharacteristic, complemented
1073#468—731no—
1074#468—731no—
1075#468—731no—
1076#468—731no—
1077#467—731no—
1078#466—731no—
1079#466—731no—
1080#466—731no—
1081#465—731no—
1082#465—731no—
1083#465—731no—
1084#465C2×D7311yescharacteristic, complemented
1085#464—731no—
1086#464—731no—
1087#464—731no—
1088#464—731no—
1089#463—731no—
1090#463—731no—
1091#463—731no—
1092#463C2×D7311yescharacteristic, complemented
1093#460—731no—
1094#460—731no—
1095#459—731no—
1096#459—731no—
1097#452—731no—
1098#452—731no—
1099#452—731no—
1100#452—731no—
1101#452—731no—
1102#452—731no—
1103#452—731no—
1104#452—731no—
1105#451—731no—
1106#451—731no—
1107#450—731no—
1108#450—731no—
1109#450—731no—
1110#450—731no—
1111#450—731no—
1112#450—731no—
1113#449—731no—
1114#449—731no—
1115#449—731no—
1116#449—731no—
1117#449—731no—
1118#449—731no—
1119#449—731no—
1120#449—731no—
1121#449—731no—
1122#449—731no—
1123#449—731no—
1124#449C2×D7311yescharacteristic, complemented
1125#448—731no—
1126#448C2×D7311yescharacteristic, complemented
1127#447—731no—
1128#447—731no—
1129#447—731no—
1130#447—731no—
1131#447—731no—
1132#447—731no—
1133#442—731no—
1134#441—731no—
1135#440—731no—
1136#440C2×D7311yescharacteristic, complemented
1137C4×Q16—731no—
1138C4×SD16—731no—
1139C4×SD16—731no—
1140C4×D8—731no—
1141#436—731no—
1142#436—731no—
1143#435—731no—
1144#435—731no—
1145#435—731no—
1146#435C2×D7311yescharacteristic, complemented
1147C8×D4—731no—
1148C8×D4—731no—
1149#433—731no—
1150#433—731no—
1151#419C2×D7311yescharacteristic, complemented
1152#418—731no—
1153#418—731no—
1154#418—731no—
1155#416—731no—
1156#416—731no—
1157#416—731no—
1158#416C2×D7311yescharacteristic, complemented
1159#408—731no—
1160#408—731no—
1161#407—731no—
1162C2×C22⋊C8—731no—
1163H(5,𝔽2)—2922no—
1164H(5,𝔽2)—2922no—
1165C2×#41—2922no—
1166C2×#41—2922no—
1167C2×#41—731no—
1168C2×#41—731no—
1169C2×#41—731no—
1170C2×#41—731no—
1171C2×#41—731no—
1172C2×#41—731no—
1173C2×#41—731no—
1174C2×#41—731no—
1175C2×#41—1461no—
1176C2×#41—1461no—
1177C2×#41—1461no—
1178C2×#41C22×D7311yescharacteristic
1179C22×Q8—731no—
1180C22×Q8C22×D7311yescharacteristic
1181C22×D4—731no—
1182C22×D4—731no—
1183C22×D4—731no—
1184C22×D4—731no—
1185C22×D4—731no—
1186C22×D4—1461no—
1187C22×D4—1461no—
1188C22×D4—1461no—
1189C22×D4—1461no—
1190C22×D4—1461no—
1191C22×D4—1461no—
1192C22×D4—1461no—
1193C23×C4—731no—
1194C23×C4—1461no—
1195#137—2922no—
1196#137—2922no—
1197AGL(1,ℤ/8)—2922no—
1198AGL(1,ℤ/8)—2922no—
1199#135—2922no—
1200#135—2922no—
1201C2×Q16—731no—
1202C2×Q16—731no—
1203C2×Q16—731no—
1204C2×Q16—731no—
1205C2×SD16—2922no—
1206C2×SD16—731no—
1207C2×SD16—731no—
1208C2×SD16—731no—
1209C2×SD16—731no—
1210C2×SD16—731no—
1211C2×SD16—731no—
1212C2×SD16—731no—
1213C2×SD16—731no—
1214C2×SD16—731no—
1215C2×SD16—731no—
1216C2×SD16C22×D7311yescharacteristic
1217C2×SD16C22×D7311yescharacteristic
1218C2×D8—2922no—
1219C2×D8—731no—
1220C2×D8—731no—
1221C2×D8—731no—
1222C2×D8—731no—
1223C2×D8—731no—
1224C2×D8—731no—
1225C2×D8—731no—
1226C2×D8C22×D7311yescharacteristic
1227C2×M16—731no—
1228C2×M16—731no—
1229C2×M16—731no—
1230C2×M16C22×D7311yescharacteristic
1231C22×C8—731no—
1232C22×C8—731no—
1233C22×C8—731no—
1234C22×C8C22×D7311yescharacteristic
1235C4⋊Q8—731no—
1236C4⋊Q8—1461no—
1237C4⋊Q8C22×D7311yescharacteristic
1238#127—731no—
1239#127—731no—
1240#127—1461no—
1241#127—1461no—
1242#127—1461no—
1243#126—1461no—
1244#126—1461no—
1245#126—1461no—
1246#126—1461no—
1247#126—1461no—
1248#126—1461no—
1249#124—21no—
1250#124—21no—
1251#124—21no—
1252#124—731no—
1253#124—731no—
1254#124—731no—
1255#124—1461no—
1256#124—1461no—
1257#124—1461no—
1258#124—1461no—
1259#124—1461no—
1260#124—1461no—
1261#124—1461no—
1262#124—1461no—
1263#124—1461no—
1264#124—1461no—
1265#124—1461no—
1266#124C22×D7311yescharacteristic
1267#123—731no—
1268#123—731no—
1269#123—1461no—
1270#123—1461no—
1271#123—1461no—
1272#123—1461no—
1273#123—1461no—
1274#123—1461no—
1275#123—1461no—
1276#123—1461no—
1277#123—1461no—
1278#123—1461no—
1279C22⋊Q8—21no—
1280C22⋊Q8—731no—
1281C22⋊Q8—731no—
1282C22⋊Q8—731no—
1283C22⋊Q8—731no—
1284C22⋊Q8—731no—
1285C22⋊Q8—731no—
1286C22⋊Q8—731no—
1287C22⋊Q8—731no—
1288C22⋊Q8—731no—
1289C22⋊Q8—1461no—
1290C22⋊Q8—1461no—
1291C22⋊Q8—1461no—
1292C22⋊Q8—1461no—
1293C22⋊Q8—1461no—
1294C22⋊Q8—1461no—
1295C22⋊Q8C22×D7311yescharacteristic
1296#121—21no—
1297#121—21no—
1298#121—731no—
1299#121—731no—
1300#121—731no—
1301#121—731no—
1302#121—731no—
1303#121—731no—
1304#121—731no—
1305#121—731no—
1306#121—731no—
1307#121—731no—
1308#121—731no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121—1461no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121—1461no—
1323#121—1461no—
1324#121—1461no—
1325#121—1461no—
1326#121—1461no—
1327#121—1461no—
1328#121—1461no—
1329#121—1461no—
1330#121C22×D7311yescharacteristic
1331#121C22×D7311yescharacteristic
1332#121C22×D7311yescharacteristic
1333#120—731no—
1334#120—731no—
1335#120—1461no—
1336#120—1461no—
1337#120—1461no—
1338#120—1461no—
1339#120—1461no—
1340#120—1461no—
1341#120—1461no—
1342#120—1461no—
1343#120—1461no—
1344#120—1461no—
1345#120—1461no—
1346#120—1461no—
1347#120—1461no—
1348#120—1461no—
1349C4×Q8—731no—
1350C4×Q8—731no—
1351C4×Q8—731no—
1352C4×Q8—1461no—
1353C4×Q8—1461no—
1354C4×Q8C22×D7311yescharacteristic
1355C4×D4—21no—
1356C4×D4—731no—
1357C4×D4—731no—
1358C4×D4—731no—
1359C4×D4—731no—
1360C4×D4—731no—
1361C4×D4—731no—
1362C4×D4—1461no—
1363C4×D4—1461no—
1364C4×D4—1461no—
1365C4×D4—1461no—
1366C4×D4—1461no—
1367C4×D4—1461no—
1368C4×D4—1461no—
1369C4×D4—1461no—
1370C4×D4—1461no—
1371C4×D4—1461no—
1372C4×D4—1461no—
1373C4×D4C22×D7311yescharacteristic
1374C4×D4C22×D7311yescharacteristic
1375#117—21no—
1376#117—731no—
1377#117—731no—
1378#117—731no—
1379#117—1461no—
1380#117—1461no—
1381#117C22×D7311yescharacteristic
1382#117C22×D7311yescharacteristic
1383C2×C4⋊C4—731no—
1384C2×C4⋊C4—1461no—
1385C2×C22⋊C4—1461no—
1386C2×C22⋊C4—1461no—
1387C2×C22⋊C4—1461no—
1388C2×C22⋊C4—1461no—
1389C2×C22⋊C4—1461no—
1390#107—731no—
1391#107—731no—
1392#107—731no—
1393#107C22×D7311yescharacteristic
1394#106—731no—
1395#106—731no—
1396#106C22×D7311yescharacteristic
1397#106C22×D7311yescharacteristic
1398C4⋊C8—731no—
1399C4⋊C8—731no—
1400C4⋊C8—731no—
1401C4⋊C8C22×D7311yescharacteristic
1402#103—731no—
1403#103—731no—
1404#103—731no—
1405#103—731no—
1406#103—731no—
1407#103—731no—
1408#103C22×D7311yescharacteristic
1409#103C22×D7311yescharacteristic
1410#103C22×D7311yescharacteristic
1411#103C22×D7311yescharacteristic
1412#103C22×D7311yescharacteristic
1413#103C22×D7311yescharacteristic
1414#102—731no—
1415#102—731no—
1416#102—731no—
1417#102—731no—
1418#102—731no—
1419#102—731no—
1420#102—731no—
1421#102—731no—
1422#102—731no—
1423#102—731no—
1424#102—731no—
1425#102—731no—
1426#102—731no—
1427#102—731no—
1428#102—731no—
1429#102—731no—
1430#102C22×D7311yescharacteristic
1431#102C22×D7311yescharacteristic
1432#102C22×D7311yescharacteristic
1433#102C22×D7311yescharacteristic
1434C22⋊C8—731no—
1435C22⋊C8—731no—
1436C22⋊C8—731no—
1437C22⋊C8—731no—
1438C22⋊C8—731no—
1439C22⋊C8—731no—
1440C22⋊C8—731no—
1441C22⋊C8—731no—
1442C22⋊C8—731no—
1443C22⋊C8—731no—
1444C22⋊C8C22×D7311yescharacteristic
1445C22⋊C8C22×D7311yescharacteristic
1446#97—731no—
1447#97C22×D7311yescharacteristic
1448C4×C8—731no—
1449C4×C8—731no—
1450C24—731no—
1451C24—1461no—
1452C24—1461no—
1453C24—1461no—
1454C24—1461no—
1455C24—1461no—
1456#41—22no—
1457#41—41no—
1458#41—2921no—
1459#41—2921no—
1460#41—2921no—
1461#41—2921no—
1462#41—2924no—
1463#41—2924no—
1464#41—2924no—
1465#41—2921no—
1466#41—2921no—
1467#41—2921no—
1468#41—2921no—
1469#41—2921no—
1470#41—2921no—
1471#41—2921no—
1472#41—1462no—
1473#41—1462no—
1474#41—1462no—
1475#41—1462no—
1476#41—1462no—
1477C2×Q8—21no—
1478C2×Q8—21no—
1479C2×Q8—22no—
1480C2×Q8—41no—
1481C2×Q8—2921no—
1482C2×Q8—2921no—
1483C2×Q8—731no—
1484C2×Q8—731no—
1485C2×Q8—731no—
1486C2×Q8—1461no—
1487C2×Q8—1461no—
1488C2×Q8C23×D7311yescharacteristic
1489C2×Q8C23×D7311yescharacteristic
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—2921no—
1495C2×D4—2921no—
1496C2×D4—2924no—
1497C2×D4—2924no—
1498C2×D4—2924no—
1499C2×D4—2921no—
1500C2×D4—2921no—
1501C2×D4—2921no—
1502C2×D4—2921no—
1503C2×D4—2921no—
1504C2×D4—2924no—
1505C2×D4—5842no—
1506C2×D4—5842no—
1507C2×D4—5842no—
1508C2×D4—731no—
1509C2×D4—731no—
1510C2×D4—731no—
1511C2×D4—731no—
1512C2×D4—731no—
1513C2×D4—731no—
1514C2×D4—731no—
1515C2×D4—731no—
1516C2×D4—731no—
1517C2×D4—731no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4—1462no—
1523C2×D4—1462no—
1524C2×D4—1461no—
1525C2×D4—1461no—
1526C2×D4—1461no—
1527C2×D4—1461no—
1528C2×D4—1461no—
1529C2×D4—1461no—
1530C2×D4—1461no—
1531C2×D4—1461no—
1532C2×D4—1461no—
1533C2×D4—1461no—
1534C2×D4—1462no—
1535C2×D4—1461no—
1536C2×D4—1461no—
1537C2×D4—1461no—
1538C2×D4—1461no—
1539C2×D4—1461no—
1540C2×D4—1461no—
1541C2×D4—1461no—
1542C2×D4—1461no—
1543C2×D4—1461no—
1544C2×D4—1461no—
1545C2×D4—1461no—
1546C2×D4D4×D7311yescharacteristic
1547C2×D4C23×D7311yescharacteristic
1548C2×D4C23×D7311yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—2921no—
1553C22×C4—2921no—
1554C22×C4—2924no—
1555C22×C4—731no—
1556C22×C4—731no—
1557C22×C4—731no—
1558C22×C4—731no—
1559C22×C4—731no—
1560C22×C4—731no—
1561C22×C4—1461no—
1562C22×C4—1461no—
1563C22×C4—1461no—
1564C22×C4—1461no—
1565C22×C4—1461no—
1566C22×C4—1461no—
1567C22×C4—1461no—
1568C22×C4—1461no—
1569C22×C4—1461no—
1570C22×C4—1461no—
1571C22×C4—1461no—
1572C22×C4—1461no—
1573C22×C4C23×D7311yescharacteristic
1574C22×C4C23×D7311yescharacteristic
1575Q16—2921no—
1576Q16—2921no—
1577Q16—1462no—
1578Q16—1462no—
1579SD16—22no—
1580SD16—41no—
1581SD16—2921no—
1582SD16—2921no—
1583SD16—2921no—
1584SD16—2921no—
1585SD16—2921no—
1586SD16—2921no—
1587SD16—2921no—
1588SD16—1462no—
1589SD16—1462no—
1590SD16—1462no—
1591D8—41no—
1592D8—2921no—
1593D8—2921no—
1594D8—2921no—
1595D8—2921no—
1596D8—2921no—
1597D8—1462no—
1598D8—1462no—
1599M16—41no—
1600M16—2921no—
1601M16—2921no—
1602M16—2921no—
1603C2×C8—41no—
1604C2×C8—2921no—
1605C2×C8—2921no—
1606C2×C8—2921no—
1607C2×C8—731no—
1608C2×C8—731no—
1609C2×C8—731no—
1610C2×C8—731no—
1611C2×C8C23×D7311yescharacteristic
1612C2×C8C23×D7311yescharacteristic
1613C2×C8C23×D7311yescharacteristic
1614C2×C8C23×D7311yescharacteristic
1615C4⋊C4—21no—
1616C4⋊C4—21no—
1617C4⋊C4—21no—
1618C4⋊C4—731no—
1619C4⋊C4—731no—
1620C4⋊C4—731no—
1621C4⋊C4—731no—
1622C4⋊C4—731no—
1623C4⋊C4—731no—
1624C4⋊C4—731no—
1625C4⋊C4—1461no—
1626C4⋊C4—1461no—
1627C4⋊C4—1461no—
1628C4⋊C4—1461no—
1629C4⋊C4—1461no—
1630C4⋊C4—1461no—
1631C4⋊C4—1461no—
1632C4⋊C4—1461no—
1633C4⋊C4—1461no—
1634C4⋊C4—1461no—
1635C4⋊C4—1461no—
1636C4⋊C4—1461no—
1637C4⋊C4D4×D7311yescharacteristic
1638C4⋊C4C23×D7311yescharacteristic
1639C4⋊C4C23×D7311yescharacteristic
1640C4⋊C4C23×D7311yescharacteristic
1641C4⋊C4C23×D7311yescharacteristic
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—731no—
1652C22⋊C4—731no—
1653C22⋊C4—731no—
1654C22⋊C4—731no—
1655C22⋊C4—731no—
1656C22⋊C4—731no—
1657C22⋊C4—731no—
1658C22⋊C4—731no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4—1461no—
1671C22⋊C4—1461no—
1672C22⋊C4—1461no—
1673C22⋊C4—1461no—
1674C22⋊C4—1461no—
1675C22⋊C4—1461no—
1676C22⋊C4—1461no—
1677C22⋊C4—1461no—
1678C22⋊C4—1461no—
1679C22⋊C4—1461no—
1680C22⋊C4—1461no—
1681C22⋊C4—1461no—
1682C22⋊C4—1461no—
1683C22⋊C4—1461no—
1684C22⋊C4—1461no—
1685C22⋊C4—1461no—
1686C22⋊C4D4×D7311yescharacteristic
1687C22⋊C4D4×D7311yescharacteristic
1688C42—21no—
1689C42—21no—
1690C42—21no—
1691C42—731no—
1692C42—1461no—
1693C42—1461no—
1694C42—1461no—
1695C42—1461no—
1696C42—1461no—
1697C42C23×D7311yescharacteristic
1698C23—21no—
1699C23—21no—
1700C23—2922no—
1701C23—2922no—
1702C23—2922no—
1703C23—2921no—
1704C23—2921no—
1705C23—2921no—
1706C23—2922no—
1707C23—2922no—
1708C23—5841no—
1709C23—5841no—
1710C23—5841no—
1711C23—5841no—
1712C23—5841no—
1713C23—5841no—
1714C23—5841no—
1715C23—5841no—
1716C23—5841no—
1717C23—5841no—
1718C23—731no—
1719C23—731no—
1720C23—731no—
1721C23—1461no—
1722C23—1461no—
1723C23—1461no—
1724C23—1461no—
1725C23C2×D4×D7311yescharacteristic
1726C23C2×D4×D7311yescharacteristic
1727Q8—21no—
1728Q8—21no—
1729Q8—21no—
1730Q8—42no—
1731Q8—81no—
1732Q8—2921no—
1733Q8—5841no—
1734Q8—5841no—
1735Q8—1461no—
1736Q8—1461no—
1737Q8—1461no—
1738Q8—1461no—
1739Q8#1455663712yes—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—41no—
1745D4—42no—
1746D4—42no—
1747D4—81no—
1748D4—81no—
1749D4—2922no—
1750D4—2922no—
1751D4—2922no—
1752D4—2922no—
1753D4—2921no—
1754D4—2921no—
1755D4—2922no—
1756D4—2922no—
1757D4—2922no—
1758D4—2921no—
1759D4—2921no—
1760D4—2921no—
1761D4—2921no—
1762D4—2922no—
1763D4—2922no—
1764D4—5841no—
1765D4—5841no—
1766D4—5841no—
1767D4—5841no—
1768D4—5841no—
1769D4—5841no—
1770D4—5841no—
1771D4—5841no—
1772D4—5841no—
1773D4—5841no—
1774D4—5841no—
1775D4—5841no—
1776D4—5841no—
1777D4—5841no—
1778D4—5841no—
1779D4—732no—
1780D4—1464no—
1781D4—1461no—
1782D4—1461no—
1783D4—1461no—
1784D4—1461no—
1785D4—1461no—
1786D4—1461no—
1787D4—1461no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—42no—
1799C2×C4—42no—
1800C2×C4—81no—
1801C2×C4—2922no—
1802C2×C4—2922no—
1803C2×C4—2921no—
1804C2×C4—2921no—
1805C2×C4—2922no—
1806C2×C4—2922no—
1807C2×C4—2921no—
1808C2×C4—5841no—
1809C2×C4—5841no—
1810C2×C4—5841no—
1811C2×C4—5841no—
1812C2×C4—5841no—
1813C2×C4—5841no—
1814C2×C4—5841no—
1815C2×C4—731no—
1816C2×C4—731no—
1817C2×C4—731no—
1818C2×C4—731no—
1819C2×C4—731no—
1820C2×C4—1464no—
1821C2×C4—1461no—
1822C2×C4—1461no—
1823C2×C4—1461no—
1824C2×C4—1461no—
1825C2×C4—1461no—
1826C2×C4—1461no—
1827C2×C4—1461no—
1828C2×C4—1461no—
1829C2×C4—1461no—
1830C2×C4—1461no—
1831C2×C4C2×D4×D7311yescharacteristic
1832C2×C4C2×D4×D7311yescharacteristic
1833C2×C4C2×D4×D7311yescharacteristic
1834C2×C4C2×D4×D7311yescharacteristic
1835C2×C4C24×D7311yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—1461no—
1841C8—1461no—
1842C8—1461no—
1843C8—1461no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—2921no—
1857C22—2921no—
1858C22—2921no—
1859C22—2921no—
1860C22—2921no—
1861C22—2921no—
1862C22—2921no—
1863C22—2921no—
1864C22—2921no—
1865C22—2921no—
1866C22—2921no—
1867C22—5842no—
1868C22—5844no—
1869C22—11682no—
1870C22—11682no—
1871C22—11682no—
1872C22—11682no—
1873C22—1461no—
1874C22—1462no—
1875C22—1461no—
1876C22—1461no—
1877C22—1461no—
1878C22—1461no—
1879C22—1461no—
1880C22—1461no—
1881C22—1461no—
1882C22—1461no—
1883C22C22×D4×D7311yescharacteristic
1884C4—21no—
1885C4—21no—
1886C4—22no—
1887C4—21no—
1888C4—21no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—2921no—
1895C4—2921no—
1896C4—2921no—
1897C4—2921no—
1898C4—1461no—
1899C4—1461no—
1900C4—1461no—
1901C4—1461no—
1902C4—1461no—
1903C4H(5,𝔽2)×D7311yescharacteristic
1904C4C2×#1455663711yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—81no—
1908C2—81no—
1909C2—2922no—
1910C2—2921no—
1911C2—2921no—
1912C2—2921no—
1913C2—5841no—
1914C2—5841no—
1915C2—5841no—
1916C2#2262356111yescharacteristic
1917C2#2262470311yescharacteristic
1918C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3321C2
socleC22×C73C23×D4
hypercenter#3321D73
hypocenterC73#61625
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3321

Complements

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

NH ≅ G/Ntype
1. #22624201C2semidirect
2. #22623597C2semidirect
3. #22622167C2semidirect
4. #22622160C2semidirect
5. #22622090C2semidirect
6. #22621998C2semidirect
7. #22621966C2semidirect
8. #22621877C2semidirect
9. #22621867C2semidirect
10. #22621635C2semidirect
11. #22621611C2semidirect
12. #22621584C2semidirect
13. #22621565C2semidirect
14. #22621514C2semidirect
15. #22621473C2semidirect
16. #22621431C2semidirect
17. #22621418C2semidirect
18. #22621026C2semidirect
19. #22621024C2semidirect
20. #22620819C2semidirect
21. #22620786C2semidirect
22. #22620740C2semidirect
23. #22620700C2semidirect
24. #22620215C2semidirect
25. #22620191C2semidirect
26. #22619211C2semidirect
27. #22619196C2semidirect
28. #22619177C2semidirect
29. #22619148C2semidirect
30. #22618978C2semidirect
31. C73×#3321C2semidirect
33. C22×#11924029C22semidirect
34. C2×#14556622C22semidirect
35. C2×#14556621C22semidirect
36. C2×#14556619C22semidirect
37. C2×#14556618C22semidirect
38. C2×#14556612C22semidirect
39. C2×#14556612C22semidirect
40. C22×#11924017C22semidirect
41. C2×D8×D73C22semidirect
45. #17989311C22semidirect
46. #17989305C22semidirect
47. #17989300C22semidirect
50. #17989256C22semidirect
52. #17989246C22semidirect
53. #17989243C22semidirect
54. #17989234C22semidirect
55. #17989232C22semidirect
59. #17989228C22semidirect
61. D4×D292C22semidirect
64. #17989211C22semidirect
67. #17989202C22semidirect
72. #17989163C22semidirect
74. #17989155C22semidirect
75. #17989153C22semidirect
76. #17989099C22semidirect
77. #17989097C22semidirect
81. #121×D73C22semidirect
82. #17989069C22semidirect
83. #17988976C22semidirect
84. #17988975C22semidirect
85. #17988969C22semidirect
86. #17988968C22semidirect
87. #17988948C22semidirect
88. #17988935C22semidirect
89. #17988932C22semidirect
90. #17988927C22semidirect
91. #17988924C22semidirect
92. #17988919C22semidirect
93. #17988913C22semidirect
94. #17988913C22semidirect
95. #17988911C22semidirect
96. #17988911C22semidirect
97. #17988909C22semidirect
98. #17988907C22semidirect
99. #17988899C22semidirect
100. #17988880C22semidirect
101. #17988874C22semidirect
102. #17988866C22semidirect
103. #17988844C22semidirect
104. #17988838C22semidirect
105. #17988838C22semidirect
106. #17988835C22semidirect
107. #17988834C22semidirect
108. #17988833C22semidirect
109. #17988831C22semidirect
110. #17988827C22semidirect
111. #17988824C22semidirect
112. #17988823C22semidirect
113. #17988822C22semidirect
114. #17988817C22semidirect
115. #17988817C22semidirect
116. #17988815C22semidirect
117. #17988812C22semidirect
118. #17988809C22semidirect
119. #17988807C22semidirect
120. #17988806C22semidirect
121. #17988805C22semidirect
122. #17988803C22semidirect
123. #17988801C22semidirect
124. #17988788C22semidirect
125. #17988786C22semidirect
126. #17988782C22semidirect
127. #17988781C22semidirect
128. #17988752C22semidirect
129. #17988752C22semidirect
130. #17988752C22semidirect
131. #17988752C22semidirect
132. #17988752C22semidirect
133. #17988752C22semidirect
134. #17988752C22semidirect
135. #17988752C22semidirect
136. #17988743C22semidirect
137. #17988742C22semidirect
138. #17988740C22semidirect
139. #17988739C22semidirect
140. #17988739C22semidirect
141. #17988739C22semidirect
142. #17988739C22semidirect
143. #17988736C22semidirect
145. #17988735C22semidirect
146. #17988735C22semidirect
147. #17988735C22semidirect
148. #17988734C22semidirect
149. #17988733C22semidirect
150. #17988732C22semidirect
152. #17988731C22semidirect
153. #17988730C22semidirect
154. #17988729C22semidirect
155. #17988728C22semidirect
156. #17988723C22semidirect
157. #17988722C22semidirect
158. #17988722C22semidirect
159. #17988720C22semidirect
160. #17988720C22semidirect
161. #17988719C22semidirect
162. #17988698C22semidirect
163. #17988691C22semidirect
164. #17988689C22semidirect
165. C4×#11924018C22semidirect
166. #17988674C22semidirect
167. #17988672C22semidirect
168. C4×#11924013C22semidirect
169. #17988665C22semidirect
170. #17988662C22semidirect
171. #17988661C22semidirect
172. #17988660C22semidirect
173. #17988656C22semidirect
174. #17988652C22semidirect
175. C8×C22⋊D73C22semidirect
176. #17988649C22semidirect
177. #17988647C22semidirect
178. #17988591C22semidirect
179. #17988591C22semidirect
180. #17988590C22semidirect
181. #17988582C22semidirect
182. #17988582C22semidirect
183. #17988582C22semidirect
184. #17988553C22semidirect
185. #17988552C22semidirect
186. #17988550C22semidirect
187. C22⋊C8×D73C22semidirect
188. #555×C73C22semidirect
189. #548×C73C22semidirect
190. #489×C73C22semidirect
191. #485×C73C22semidirect
192. #482×C73C22semidirect
193. #475×C73C22semidirect
194. #469×C73C22semidirect
195. #465×C73C22semidirect
196. #463×C73C22semidirect
197. #449×C73C22semidirect
198. #448×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #419×C73C22semidirect
202. #416×C73C22semidirect
964. #3321D73semidirect
991. C73#61625semidirect
1008. #555C2×D73semidirect
1015. #548C2×D73semidirect
1050. #489C2×D73semidirect
1054. #485C2×D73semidirect
1062. #482C2×D73semidirect
1067. #475C2×D73semidirect
1072. #469C2×D73semidirect
1084. #465C2×D73semidirect
1092. #463C2×D73semidirect
1124. #449C2×D73semidirect
1126. #448C2×D73semidirect
1136. #440C2×D73semidirect
1146. #435C2×D73semidirect
1151. #419C2×D73semidirect
1158. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242012
#226235972
#226221672
#226221602
#226220902
#226219982
#226219662
#226218772
#226218672
#226216352
#226216112
#226215842
#226215652
#226215142
#226214732
#226214312
#226214182
#226210262
#226210242
#226208192
#226207862
#226207402
#226207002
#226202152
#226201912
#226192112
#226191962
#226191772
#226191482
#226189782
C73×#33212
#6162573