Finite Group Databasebeta

← #33972217

Subgroups — #33972217

Order 18688.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624243C211yesmaximal, characteristic, complemented
2#22623601C211yesmaximal, characteristic, complemented
3#22622084C211yesmaximal, characteristic, complemented
4#22621957C211yesmaximal, characteristic, complemented
5#22621942C211yesmaximal, characteristic, complemented
6#22621919C211yesmaximal, characteristic, complemented
7#22621878C211yesmaximal, characteristic, complemented
8#22621823C211yesmaximal, characteristic, complemented
9#22621786C211yesmaximal, characteristic, complemented
10#22621741C211yesmaximal, characteristic, complemented
11#22621690C211yesmaximal, characteristic, complemented
12#22621633C211yesmaximal, characteristic, complemented
13#22621611C211yesmaximal, characteristic, complemented
14D8×D292C211yesmaximal, characteristic, complemented
15#22621473C211yesmaximal, characteristic, complemented
16#22621466C211yesmaximal, characteristic, complemented
17#22621428C211yesmaximal, characteristic, complemented
18#22621417C211yesmaximal, characteristic, complemented
19#22621019C211yesmaximal, characteristic, complemented
20#22620983C211yesmaximal, characteristic, complemented
21#22620835C211yesmaximal, characteristic, complemented
22#22620790C211yesmaximal, characteristic, complemented
23#22620701C211yesmaximal, characteristic, complemented
24#22620681C211yesmaximal, characteristic, complemented
25#22620130C211yesmaximal, characteristic, complemented
26#22619239C211yesmaximal, characteristic, complemented
27#22619196C211yesmaximal, characteristic, complemented
28#22619152C211yesmaximal, characteristic, complemented
29#449×D73C211yesmaximal, characteristic, complemented
30#22618986C211yesmaximal, characteristic, complemented
31C73×#3124C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic, complemented
33C2×#41×D73C2211yescharacteristic, complemented
34C2×#14556618C2211yescharacteristic, complemented
35C2×#14556618C2211yescharacteristic, complemented
36C2×#14556614C2211yescharacteristic, complemented
37C2×#14556614C2211yescharacteristic, complemented
38C2×#14556612C2211yescharacteristic, complemented
39C2×SD16×D73C2211yescharacteristic, complemented
40C2×D8×D73C2211yescharacteristic, complemented
41C2×D8×D73C2211yescharacteristic, complemented
42#17989333—21no—
43#17989328—21no—
44#17989303C2211yescharacteristic, complemented
45#17989287C2211yescharacteristic, complemented
46#17989278C2211yescharacteristic, complemented
47#17989262—21no—
48#17989259C2211yescharacteristic, complemented
49#17989259C2211yescharacteristic, complemented
50#17989259C2211yescharacteristic, complemented
51#17989249C2211yescharacteristic
52#17989249C2211yescharacteristic, complemented
53#17989240C2211yescharacteristic, complemented
54#17989232—21no—
55#17989232—21no—
56#17989232C2211yescharacteristic, complemented
57#17989232C2211yescharacteristic, complemented
58#17989230C2211yescharacteristic, complemented
59#17989230C2211yescharacteristic, complemented
60#17989228—21no—
61D4×D292—21no—
62D4×D292—21no—
63D4×D292C2211yescharacteristic
64D4×D292C2211yescharacteristic, complemented
65D4×D292C2211yescharacteristic, complemented
66#17989192C2211yescharacteristic, complemented
67#17989189—21no—
68#17989171—21no—
69#17989168—21no—
70#17989168C2211yescharacteristic, complemented
71#17989167C2211yescharacteristic, complemented
72#17989156—21no—
73#17989156C2211yescharacteristic, complemented
74#17989155—21no—
75#17989153C2211yescharacteristic, complemented
76#17989148—21no—
77#17989100C2211yescharacteristic, complemented
78#17989099—21no—
79#17989099C2211yescharacteristic
80C2×#14556566—21no—
81C2×#14556566C2211yescharacteristic, complemented
82#121×D73C2211yescharacteristic, complemented
83#17988977C2211yescharacteristic, complemented
84#17988976C2211yescharacteristic, complemented
85#17988969C2211yescharacteristic, complemented
86#17988964C2211yescharacteristic, complemented
87#17988952C2211yescharacteristic, complemented
88#17988949C2211yescharacteristic, complemented
89#17988942C2211yescharacteristic, complemented
90#17988935C2211yescharacteristic, complemented
91#17988930C2211yescharacteristic, complemented
92#17988924C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988914C2211yescharacteristic, complemented
95#17988914C2211yescharacteristic, complemented
96#17988905C2211yescharacteristic, complemented
97#17988902C2211yescharacteristic, complemented
98#17988902C2211yescharacteristic, complemented
99#17988902C2211yescharacteristic, complemented
100#17988900C2211yescharacteristic, complemented
101#17988894C2211yescharacteristic, complemented
102#17988887C2211yescharacteristic, complemented
103#17988839C2211yescharacteristic, complemented
104#17988836C2211yescharacteristic, complemented
105#17988834C2211yescharacteristic, complemented
106#17988834C2211yescharacteristic, complemented
107#17988827C2211yescharacteristic, complemented
108#17988824C2211yescharacteristic, complemented
109#17988824C2211yescharacteristic, complemented
110#17988824C2211yescharacteristic, complemented
111#17988824C2211yescharacteristic, complemented
112#17988824C2211yescharacteristic, complemented
113#17988824C2211yescharacteristic, complemented
114#17988822C2211yescharacteristic, complemented
115#17988822C2211yescharacteristic, complemented
116#17988819C2211yescharacteristic, complemented
117#17988819C2211yescharacteristic, complemented
118#17988815C2211yescharacteristic, complemented
119#17988809C2211yescharacteristic, complemented
120#17988803C2211yescharacteristic, complemented
121#17988803C2211yescharacteristic, complemented
122#17988802C2211yescharacteristic, complemented
123#17988787C2211yescharacteristic, complemented
124#17988787C2211yescharacteristic, complemented
125#17988783C2211yescharacteristic, complemented
126#17988783C2211yescharacteristic, complemented
127#17988782C2211yescharacteristic, complemented
128#17988782C2211yescharacteristic, complemented
129#17988752C2211yescharacteristic, complemented
130#17988748C2211yescharacteristic, complemented
131#17988747C2211yescharacteristic, complemented
132#17988741C2211yescharacteristic, complemented
133#17988739C2211yescharacteristic, complemented
134#17988737C2211yescharacteristic, complemented
135#17988736C2211yescharacteristic, complemented
136#17988736C2211yescharacteristic, complemented
137#17988735C2211yescharacteristic, complemented
138#17988735C2211yescharacteristic, complemented
139#17988735C2211yescharacteristic, complemented
140#17988735C2211yescharacteristic, complemented
141#17988735C2211yescharacteristic, complemented
142#17988735C2211yescharacteristic, complemented
143#17988734C2211yescharacteristic, complemented
144#17988734C2211yescharacteristic, complemented
145#17988733C2211yescharacteristic, complemented
146#17988732C2211yescharacteristic, complemented
147#17988732C2211yescharacteristic, complemented
148#17988731C2211yescharacteristic, complemented
149#17988731C2211yescharacteristic, complemented
150#17988730C2211yescharacteristic, complemented
151#17988729C2211yescharacteristic, complemented
152#17988727C2211yescharacteristic, complemented
153#17988723C2211yescharacteristic, complemented
154#17988723C2211yescharacteristic, complemented
155#17988722C2211yescharacteristic, complemented
156#17988722C2211yescharacteristic, complemented
157#17988722C2211yescharacteristic, complemented
158#17988722C2211yescharacteristic, complemented
159#17988722C2211yescharacteristic, complemented
160#17988722C2211yescharacteristic, complemented
161#17988720C2211yescharacteristic, complemented
162#17988719C2211yescharacteristic, complemented
163#17988697C2211yescharacteristic, complemented
164#17988685C2211yescharacteristic, complemented
165C4×#11924015C2211yescharacteristic, complemented
166C4×#11924013C2211yescharacteristic, complemented
167#17988660C2211yescharacteristic, complemented
168#17988660C2211yescharacteristic, complemented
169#17988657C2211yescharacteristic, complemented
170#17988657C2211yescharacteristic, complemented
171C8×D292C2211yescharacteristic, complemented
172C8×D292C2211yescharacteristic, complemented
173#17988652C2211yescharacteristic, complemented
174#17988652C2211yescharacteristic, complemented
175#17988648C2211yescharacteristic, complemented
176#17988590C2211yescharacteristic, complemented
177#17988587C2211yescharacteristic, complemented
178#17988582C2211yescharacteristic, complemented
179#17988582C2211yescharacteristic, complemented
180#17988580C2211yescharacteristic, complemented
181#103×D73C2211yescharacteristic, complemented
182#102×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988552C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186C22⋊C8×D73C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188#542×C73C2211yescharacteristic, complemented
189#520×C73C2211yescharacteristic, complemented
190#484×C73C2211yescharacteristic, complemented
191#480×C73C2211yescharacteristic, complemented
192#477×C73C2211yescharacteristic, complemented
193#474×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#452×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic
198#440×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200C4×Q16×C73C2211yescharacteristic, complemented
201C4×D8×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203#14556637—42no—
204#14556637—42no—
205C2×#11924029—21no—
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924029C2311yescharacteristic
209C2×#11924029C2311yescharacteristic
210C2×#11924029C2311yescharacteristic
211C2×#11924028—21no—
212C2×#11924028—21no—
213C2×#11924028C2311yescharacteristic
214C2×#11924028C2311yescharacteristic
215C2×#11924027—21no—
216C2×#11924027C2311yescharacteristic
217#41×D73—42no—
218#41×D73—42no—
219C2×Q8×D73C2311yescharacteristic
220C22×D292—21no—
221C22×D292—21no—
222C22×D292—21no—
223C22×D292—21no—
224C22×D292—21no—
225C22×D292C2311yescharacteristic
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73—21no—
229C2×D4×D73—21no—
230C2×D4×D73C2311yescharacteristic
231C2×D4×D73C2311yescharacteristic
232C2×D4×D73C2311yescharacteristic
233C2×D4×D73C2311yescharacteristic
234C2×D4×D73C2311yescharacteristic
235C22×C4×D73—21no—
236C22×C4×D73C2311yescharacteristic
237#14556618—42no—
238#14556618—42no—
239#14556614—42no—
240#14556614—42no—
241#14556612—42no—
242C2×#11924018C2311yescharacteristic
243C2×#11924017C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924016C2311yescharacteristic
246C2×#11924015C2311yescharacteristic
247C2×#11924015C2311yescharacteristic
248C2×#11924015C2311yescharacteristic
249C2×#11924015C2311yescharacteristic
250C2×#11924015C2311yescharacteristic
251SD16×D73—42no—
252C2×D584C2311yescharacteristic
253C2×D584C2311yescharacteristic
254C2×D584C2311yescharacteristic
255C2×D584C2311yescharacteristic
256C2×D584C2311yescharacteristic
257C2×D584C2311yescharacteristic
258C2×#11924013C2311yescharacteristic
259C2×#11924013C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261C2×#11924013C2311yescharacteristic
262C2×#11924013C2311yescharacteristic
263D8×D73—42no—
264D8×D73—42no—
265C2×#11924011C2311yescharacteristic
266C2×#11924011C2311yescharacteristic
267C2×C8×D73C2311yescharacteristic
268C2×C8×D73C2311yescharacteristic
269C2×C8×D73C2311yescharacteristic
270C2×C8×D73C2311yescharacteristic
271C2×C8×D73C2311yescharacteristic
272C2×C8×D73C2311yescharacteristic
273#14556588—21no—
274#14556588—21no—
275#14556588—21no—
276#14556588C2311yescharacteristic
277#14556588C2311yescharacteristic
278#14556588C2311yescharacteristic
279#14556587—21no—
280#14556585—21no—
281#14556584—21no—
282#14556583C2311yescharacteristic
283#14556581—21no—
284#14556580—21no—
285#14556580—21no—
286#14556579—21no—
287#14556579—21no—
288#14556579C2311yescharacteristic
289#14556579C2311yescharacteristic
290#14556577—21no—
291#14556576—21no—
292#14556576—21no—
293#14556576—21no—
294#14556576—21no—
295#14556576—21no—
296#14556576—21no—
297#14556575—21no—
298#14556575—21no—
299#14556575D411yescharacteristic
300#14556575D411yescharacteristic
301#14556574—21no—
302#14556573—21no—
303#14556573—21no—
304#14556571—21no—
305#14556571—21no—
306#14556571—21no—
307#14556571D411yescharacteristic
308#14556571D411yescharacteristic
309#14556571C2311yescharacteristic
310#14556571C2311yescharacteristic
311#14556569—21no—
312#14556567—21no—
313#14556567C2311yescharacteristic
314#14556567C2311yescharacteristic
315#14556566—21no—
316#14556566—21no—
317#14556566—21no—
318#14556566—21no—
319#14556566—21no—
320#14556566—21no—
321#14556566—21no—
322#14556566—21no—
323#14556566—21no—
324#14556566—21no—
325#14556566—21no—
326#14556566—21no—
327#14556566—21no—
328#14556566—21no—
329#14556566—21no—
330#14556566D411yescharacteristic
331#14556566D411yescharacteristic
332#14556566C2311yescharacteristic
333#14556566C2311yescharacteristic
334#14556566C2311yescharacteristic
335#14556566C2311yescharacteristic
336#14556566C2311yescharacteristic
337#14556566C2311yescharacteristic
338#14556566C2311yescharacteristic
339#14556566C2311yescharacteristic
340#14556566C2311yescharacteristic
341#14556566C2311yescharacteristic
342#14556565—21no—
343#14556565—21no—
344#14556565—21no—
345#14556565—21no—
346#14556565—21no—
347#14556565—21no—
348#14556565—21no—
349#14556565C2311yescharacteristic
350#14556565C2311yescharacteristic
351#14556564—21no—
352#14556564—21no—
353#14556564—21no—
354#14556564—21no—
355#14556564—21no—
356#14556564—21no—
357#14556564—21no—
358#14556564—21no—
359#14556563—21no—
360#14556562C2311yescharacteristic
361#14556562C2311yescharacteristic
362#14556561—21no—
363#14556561—21no—
364#14556561—21no—
365#14556561—21no—
366#14556561—21no—
367#14556561—21no—
368#14556561—21no—
369#14556561—21no—
370#14556561—21no—
371#14556561—21no—
372#14556561—21no—
373#14556561—21no—
374#14556561—21no—
375#14556561—21no—
376#14556561D411yescharacteristic
377#14556561D411yescharacteristic
378#14556559—21no—
379C4×D292—21no—
380C4×D292—21no—
381C4×D292—21no—
382C4×D292—21no—
383C4×D292—21no—
384C4×D292C2311yescharacteristic
385C4×D292C2311yescharacteristic
386C4×D292C2311yescharacteristic
387C4×D292C2311yescharacteristic
388C4×D292C2311yescharacteristic
389C4×D292C2311yescharacteristic
390#14556553—21no—
391C4×C22⋊D73—21no—
392#14556551—21no—
393#14556549—21no—
394#14556549C2311yescharacteristic
395#14556549C2311yescharacteristic
396#14556548—21no—
397C4⋊C4×D73C2311yescharacteristic
398C4⋊C4×D73C2311yescharacteristic
399C2×#11924005—21no—
400C2×#11924005—21no—
401C2×#11924005—21no—
402C22⋊C4×D73—21no—
403C22⋊C4×D73—21no—
404C22⋊C4×D73—21no—
405#14556524C2311yescharacteristic
406#14556524C2311yescharacteristic
407#14556522C2311yescharacteristic
408#14556522C2311yescharacteristic
409C4⋊#10596831C2311yescharacteristic
410C4⋊#10596831C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
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
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556503C2311yescharacteristic
444#14556503C2311yescharacteristic
445#14556502C2311yescharacteristic
446C4×#10596831C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×Q16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C4⋊Q8×C73C2311yescharacteristic
453#126×C73—21no—
454#124×C73—21no—
455#124×C73C2311yescharacteristic
456#123×C73—21no—
457C22⋊Q8×C73—21no—
458C22⋊Q8×C73C2311yescharacteristic
459#121×C73C2311yescharacteristic
460C4×Q8×C73C2311yescharacteristic
461C4×Q8×C73C2311yescharacteristic
462C4×Q8×C73C2311yescharacteristic
463C4×D4×C73—21no—
464C4×D4×C73—21no—
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467C4×D4×C73C2311yescharacteristic
468#117×C73—21no—
469#117×C73C2311yescharacteristic
470C2×C4⋊C4×C73—21no—
471C2×C4⋊C4×C73C2311yescharacteristic
472#107×C73C2311yescharacteristic
473#107×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475#107×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477C4⋊C8×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488#97×C73C2311yescharacteristic
489C4×C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73—21no—
495C23×D73—21no—
496C23×D73C2×D411yescharacteristic
497#11924029—22no—
498#11924029—22no—
499#11924029—22no—
500#11924029—41no—
501#11924029—41no—
502#11924029—41no—
503#11924029—41no—
504#11924029—41no—
505#11924029—41no—
506#11924029—41no—
507#11924029—82no—
508#11924028—41no—
509#11924028—41no—
510#11924028—41no—
511#11924028—41no—
512#11924028—44no—
513#11924028—44no—
514#11924027—22no—
515#11924027—41no—
516#11924027—44no—
517C2×Dic146—21no—
518C2×Dic146C2×D411yescharacteristic
519C2×Dic146C2411yescharacteristic
520Q8×D73—22no—
521Q8×D73—41no—
522C2×D292—21no—
523C2×D292—21no—
524C2×D292—21no—
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—21no—
538C2×D292—21no—
539C2×D292—21no—
540C2×D292—21no—
541C2×D292—21no—
542C2×D292—21no—
543C2×D292—21no—
544C2×D292—41no—
545C2×D292—41no—
546C2×D292—44no—
547C2×D292—82no—
548C2×D292—82no—
549C2×D292—82no—
550C2×D292—82no—
551C2×D292C2×D411yescharacteristic
552C2×D292C2×D411yescharacteristic
553C2×D292C2×D411yescharacteristic
554C2×D292C2×D411yescharacteristic
555C2×D292C2×D411yescharacteristic
556C2×D292C2411yescharacteristic
557C2×D292C2411yescharacteristic
558C2×D292C2411yescharacteristic
559C2×D292C2411yescharacteristic
560C2×D292C2411yescharacteristic
561C2×C22⋊D73—21no—
562C2×C22⋊D73—21no—
563C2×C22⋊D73—21no—
564C2×C22⋊D73—21no—
565C2×C22⋊D73—21no—
566C2×C22⋊D73—21no—
567C2×C22⋊D73—21no—
568C2×C22⋊D73—21no—
569C2×C22⋊D73—21no—
570C2×C22⋊D73—21no—
571C2×C22⋊D73—21no—
572C2×C22⋊D73C2×D411yescharacteristic
573C2×C22⋊D73C2×D411yescharacteristic
574D4×D73—22no—
575D4×D73—22no—
576D4×D73—22no—
577D4×D73—41no—
578D4×D73—41no—
579D4×D73—41no—
580D4×D73—41no—
581D4×D73—41no—
582D4×D73—41no—
583D4×D73—41no—
584D4×D73—44no—
585D4×D73—44no—
586D4×D73—44no—
587D4×D73—82no—
588C22×Dic73—21no—
589C22×Dic73C2×D411yescharacteristic
590C2×C4×D73—21no—
591C2×C4×D73—21no—
592C2×C4×D73—21no—
593C2×C4×D73—21no—
594C2×C4×D73—21no—
595C2×C4×D73—21no—
596C2×C4×D73—21no—
597C2×C4×D73—21no—
598C2×C4×D73—21no—
599C2×C4×D73—21no—
600C2×C4×D73—21no—
601C2×C4×D73—41no—
602C2×C4×D73—41no—
603C2×C4×D73—44no—
604C2×C4×D73C2×D411yescharacteristic
605C2×C4×D73C2×D411yescharacteristic
606C2×C4×D73C2411yescharacteristic
607C2×C4×D73C2411yescharacteristic
608C2×C4×D73C2411yescharacteristic
609C2×C4×D73C2411yescharacteristic
610#11924018—41no—
611#11924017—41no—
612#11924017—41no—
613#11924016—41no—
614#11924015—22no—
615#11924015—22no—
616#11924015—41no—
617#11924015—41no—
618#11924015—41no—
619D584—41no—
620D584—41no—
621D584—41no—
622D584—41no—
623D584—41no—
624D584—41no—
625#11924013—22no—
626#11924013—22no—
627#11924013—41no—
628#11924013—41no—
629#11924013—41no—
630#11924011—41no—
631#11924011—41no—
632C2×#10596831C2411yescharacteristic
633C2×#10596831C2411yescharacteristic
634C2×#10596831C2411yescharacteristic
635C2×#10596831C2411yescharacteristic
636C8×D73—41no—
637C8×D73—41no—
638C8×D73—41no—
639C8×D73—41no—
640C8×D73—41no—
641C8×D73—41no—
642C4⋊Dic73—21no—
643C4⋊Dic73—21no—
644C4⋊Dic73C2×D411yescharacteristic
645C4⋊Dic73C2×D411yescharacteristic
646C4⋊Dic73C2×D411yescharacteristic
647C4⋊Dic73C2×D411yescharacteristic
648C4⋊Dic73C2411yescharacteristic
649C4⋊Dic73C2411yescharacteristic
650#11924007—21no—
651#11924007—21no—
652#11924007—21no—
653#11924007—21no—
654#11924007—21no—
655#11924007—21no—
656C22⋊Dic73—21no—
657C22⋊Dic73—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#11924005—21no—
675#11924005—21no—
676#11924005—21no—
677#11924005—21no—
678#11924005—21no—
679#11924005—21no—
680#11924005—21no—
681#11924005—21no—
682#11924005C2×D411yescharacteristic
683#11924005C2×D411yescharacteristic
684#11924005C2×D411yescharacteristic
685#11924005C2×D411yescharacteristic
686#11924005C2×D411yescharacteristic
687#11924005C2×D411yescharacteristic
688#11924005C2×D411yescharacteristic
689#11924005C2×D411yescharacteristic
690C4×Dic73—21no—
691C4×Dic73—21no—
692#41×C73—22no—
693#41×C73—22no—
694C2×Q8×C73—21no—
695C2×Q8×C73C2411yescharacteristic
696C2×Q8×C73C2411yescharacteristic
697C2×D4×C73—21no—
698C2×D4×C73—21no—
699C2×D4×C73C2411yescharacteristic
700C2×D4×C73C2411yescharacteristic
701C22×C4×C73—21no—
702C22×C4×C73—21no—
703C22×C4×C73—21no—
704C22×C4×C73—21no—
705C22×C4×C73—21no—
706C22×C4×C73C2411yescharacteristic
707Q16×C73—22no—
708SD16×C73—22no—
709SD16×C73—22no—
710D8×C73—22no—
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×C73—21no—
719C4⋊C4×C73—21no—
720C4⋊C4×C73—21no—
721C4⋊C4×C73C2×D411yescharacteristic
722C4⋊C4×C73C2×D411yescharacteristic
723C4⋊C4×C73C2411yescharacteristic
724C4⋊C4×C73C2411yescharacteristic
725C4⋊C4×C73C2411yescharacteristic
726C4⋊C4×C73C2411yescharacteristic
727C22⋊C4×C73—21no—
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73C2×D411yescharacteristic
735C22⋊C4×C73C2×D411yescharacteristic
736C42×C73—21no—
737C42×C73—21no—
738C42×C73—21no—
739C42×C73C2411yescharacteristic
740C42×C73C2411yescharacteristic
741C23×C73—21no—
742C23×C73—21no—
743C23×C73C22×D411yescharacteristic
744C22×D73—22no—
745C22×D73—21no—
746C22×D73—21no—
747C22×D73—21no—
748C22×D73—21no—
749C22×D73—21no—
750C22×D73—41no—
751C22×D73—41no—
752C22×D73—42no—
753C22×D73—42no—
754C22×D73—42no—
755C22×D73—42no—
756C22×D73—42no—
757C22×D73—42no—
758C22×D73—81no—
759C22×D73—81no—
760C22×D73—81no—
761C22×D73—81no—
762C22×D73—81no—
763C22×D73—81no—
764C22×D73—81no—
765C22×D73—81no—
766C22×D73—81no—
767C22×D73—81no—
768C22×D73—81no—
769C22×D73—81no—
770C22×D73C22×D411yescharacteristic
771C22×D73C22×D411yescharacteristic
772C22×D73C22×D411yescharacteristic
773C22×D73C22×D411yescharacteristic
774Q8×C73—21no—
775Q8×C73—21no—
776Q8×C73—21no—
777Q8×C73—81no—
778Q8×C73H(5,𝔽2)12yes—
779D4×C73—24no—
780D4×C73—21no—
781D4×C73—21no—
782D4×C73—21no—
783D4×C73—81no—
784D4×C73H(5,𝔽2)12yes—
785C2×C4×C73—24no—
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—21no—
793C2×C4×C73—21no—
794C2×C4×C73—81no—
795C2×C4×C73—81no—
796C2×C4×C73—81no—
797C2×C4×C73—81no—
798C2×C4×C73C22×D411yescharacteristic
799C2×C4×C73C22×D411yescharacteristic
800C2×C4×C73C22×D411yescharacteristic
801C2×C4×C73C22×D411yescharacteristic
802C2×C4×C73C22×D411yescharacteristic
803C2×C4×C73C2511yescharacteristic
804C22⋊D73—41no—
805C22⋊D73—41no—
806C22⋊D73—42no—
807C22⋊D73—42no—
808C22⋊D73—42no—
809C22⋊D73—42no—
810C22⋊D73—42no—
811C22⋊D73—81no—
812C22⋊D73—81no—
813C22⋊D73—81no—
814C22⋊D73—81no—
815C22⋊D73—81no—
816C22⋊D73—81no—
817C2×Dic73—21no—
818C2×Dic73—21no—
819C2×Dic73—21no—
820C2×Dic73—41no—
821C2×Dic73—42no—
822C2×Dic73C22×D411yescharacteristic
823C2×Dic73C22×D411yescharacteristic
824C2×Dic73C22×D411yescharacteristic
825C2×Dic73C22×D411yescharacteristic
826D292—22no—
827D292—22no—
828D292—21no—
829D292—21no—
830D292—21no—
831D292—21no—
832D292—21no—
833D292—21no—
834D292—21no—
835D292—21no—
836D292—21no—
837D292—21no—
838D292—41no—
839D292—41no—
840D292—41no—
841D292—42no—
842D292—42no—
843D292—42no—
844D292—42no—
845D292—42no—
846D292—42no—
847D292—42no—
848D292—81no—
849D292—81no—
850D292—81no—
851D292—81no—
852D292—81no—
853D292—81no—
854D292—81no—
855D292—81no—
856D292—81no—
857D292—81no—
858D292—81no—
859D292—81no—
860D292—81no—
861D292—81no—
862D292—81no—
863C4×D73—21no—
864C4×D73—21no—
865C4×D73—21no—
866C4×D73—21no—
867C4×D73—21no—
868C4×D73—21no—
869C4×D73—21no—
870C4×D73—21no—
871C4×D73—41no—
872C4×D73—41no—
873C4×D73—42no—
874C4×D73—42no—
875C4×D73—42no—
876C4×D73—42no—
877C4×D73—42no—
878C4×D73—42no—
879C4×D73—81no—
880C4×D73—81no—
881C4×D73—81no—
882C4×D73—81no—
883C4×D73—81no—
884Dic146—21no—
885Dic146—21no—
886Dic146—41no—
887Dic146—42no—
888C8×C73—21no—
889C8×C73—21no—
890C8×C73—21no—
891C8×C73—21no—
892#10596831—21no—
893#10596831—21no—
894#10596831—21no—
895#10596831—21no—
896C22×C73—21no—
897C22×C73—21no—
898C22×C73—22no—
899C22×C73—21no—
900C22×C73—41no—
901C22×C73—41no—
902C22×C73—41no—
903C22×C73—41no—
904C22×C73—41no—
905C22×C73C23×D411yescharacteristic
906C2×D73—21no—
907C2×D73—21no—
908C2×D73—21no—
909C2×D73—21no—
910C2×D73—21no—
911C2×D73—21no—
912C2×D73—21no—
913C2×D73—21no—
914C2×D73—21no—
915C2×D73—21no—
916C2×D73—21no—
917C2×D73—41no—
918C2×D73—41no—
919C2×D73—41no—
920C2×D73—41no—
921C2×D73—41no—
922C2×D73—41no—
923C2×D73—41no—
924C2×D73—41no—
925C2×D73—41no—
926C2×D73—41no—
927C2×D73—41no—
928C2×D73—41no—
929C2×D73—41no—
930C2×D73—41no—
931C2×D73—41no—
932C2×D73—82no—
933C2×D73—84no—
934C2×D73—162no—
935C2×D73—162no—
936C2×D73—162no—
937C2×D73—162no—
938C2×D73—162no—
939C2×D73#57612yes—
940C4×C73—21no—
941C4×C73—21no—
942C4×C73—21no—
943C4×C73—22no—
944C4×C73—21no—
945C4×C73—21no—
946C4×C73—41no—
947C4×C73—41no—
948C4×C73—41no—
949C4×C73—41no—
950C4×C73—41no—
951C4×C73C2×H(5,𝔽2)11yescharacteristic
952C4×C73C2×H(5,𝔽2)11yescharacteristic
953Dic73—21no—
954Dic73—21no—
955Dic73—21no—
956Dic73—21no—
957Dic73—41no—
958Dic73—41no—
959Dic73—41no—
960#61639—731nomaximal, Sylow
961C2×C73—41no—
962C2×C73—42no—
963C2×C73—81no—
964C2×C73#348411yescharacteristic
965C2×C73C2×#57611yescharacteristic
966C2×C73#358411yescharacteristic
967D73—22no—
968D73—41no—
969D73—41no—
970D73—41no—
971D73—81no—
972D73—81no—
973D73—81no—
974D73—81no—
975D73—81no—
976#3542—731no—
977#3488—731no—
978#3319—731no—
979#3310—731no—
980#3309—731no—
981#3308—731no—
982#3305—731no—
983#3300—731no—
984#3297—731no—
985#3294—731no—
986#3287—731no—
987#3282—731no—
988#3280—731no—
989D4×D8—731no—
990#3268—731no—
991#3268—731no—
992#3265—731no—
993#3264—731no—
994#3224—731no—
995#3220—731no—
996#3203—731no—
997#3198—731no—
998#3188—731no—
999#3186—731no—
1000#3124D7311yescharacteristic, complemented
1001#3119—731no—
1002#3012—731no—
1003#3008—731no—
1004#3002—731no—
1005C2×#449—731no—
1006#2977—731no—
1007C73#6163911yescharacteristic, complemented, Sylow
1008C2×H(5,𝔽2)—731no—
1009C22×#41—731no—
1010C2×AGL(1,ℤ/8)—731no—
1011C2×AGL(1,ℤ/8)—731no—
1012C2×#135—731no—
1013C2×#135—731no—
1014C2×#135—731no—
1015C22×SD16—731no—
1016C22×D8—731no—
1017C22×D8—731no—
1018#562—1461no—
1019#560—1461no—
1020#555—731no—
1021#553—731no—
1022#552—731no—
1023#551—1461no—
1024#550—731no—
1025#550—731no—
1026#550—731no—
1027#548—731no—
1028#548—731no—
1029#547—731no—
1030#546—731no—
1031#546—731no—
1032#546—731no—
1033#546—731no—
1034#546—1461no—
1035#546—1461no—
1036#546—1461no—
1037D42—731no—
1038D42—731no—
1039D42—731no—
1040D42—1461no—
1041D42—1461no—
1042#542C2×D7311yescharacteristic, complemented
1043#540—731no—
1044#540—1461no—
1045#538—1461no—
1046#537—731no—
1047#537—731no—
1048#537—1461no—
1049#535—731no—
1050#535—731no—
1051#535—1461no—
1052#535—1461no—
1053#534—1461no—
1054#525—731no—
1055#525—731no—
1056#525—1461no—
1057C2×#121—731no—
1058C2×#121—731no—
1059C2×#121—1461no—
1060#520C2×D7311yescharacteristic, complemented
1061#496—731no—
1062#496—731no—
1063#495—731no—
1064#493—731no—
1065#490—731no—
1066#489—731no—
1067#488—731no—
1068#486—731no—
1069#485—731no—
1070#484—731no—
1071#484C2×D7311yescharacteristic, complemented
1072#482—731no—
1073#482—731no—
1074#482—731no—
1075#481—731no—
1076#480—731no—
1077#480—731no—
1078#480—731no—
1079#480—731no—
1080#480C2×D7311yescharacteristic, complemented
1081#479—731no—
1082#478—731no—
1083#477C2×D7311yescharacteristic, complemented
1084#474C2×D7311yescharacteristic, complemented
1085#469—731no—
1086#468—731no—
1087#468—731no—
1088#468—731no—
1089#467—731no—
1090#466—731no—
1091#466—731no—
1092#466—731no—
1093#466—731no—
1094#466—731no—
1095#466—731no—
1096#466—731no—
1097#466—731no—
1098#465—731no—
1099#465—731no—
1100#465—731no—
1101#464—731no—
1102#464C2×D7311yescharacteristic, complemented
1103#463—731no—
1104#463—731no—
1105#463—731no—
1106#463C2×D7311yescharacteristic, complemented
1107#460—731no—
1108#460—731no—
1109#459—731no—
1110#459—731no—
1111#459—731no—
1112#459—731no—
1113#452—731no—
1114#452—731no—
1115#452—731no—
1116#452C2×D7311yescharacteristic, complemented
1117#451—731no—
1118#450—731no—
1119#450—731no—
1120#450—731no—
1121#450—731no—
1122#449—731no—
1123#449—731no—
1124#449—731no—
1125#449—731no—
1126#449—731no—
1127#449—731no—
1128#449—731no—
1129#449—731no—
1130#449—731no—
1131#449—731no—
1132#449—731no—
1133#449—731no—
1134#449—731no—
1135#449—731no—
1136#449—731no—
1137#449C2×D7311yescharacteristic
1138#448—731no—
1139#447—731no—
1140#447—731no—
1141#447—731no—
1142#447—731no—
1143#447—731no—
1144#447—731no—
1145#447—731no—
1146#447—731no—
1147#447—731no—
1148#447—731no—
1149#442—731no—
1150#440—731no—
1151#440C2×D7311yescharacteristic, complemented
1152#440C2×D7311yescharacteristic, complemented
1153C4×Q16C2×D7311yescharacteristic, complemented
1154C4×SD16—731no—
1155C4×D8—731no—
1156C4×D8C2×D7311yescharacteristic, complemented
1157#435—731no—
1158#435—731no—
1159#435—731no—
1160#435—731no—
1161C8×D4—731no—
1162C8×D4—731no—
1163C8×D4—731no—
1164C8×D4—731no—
1165#433—731no—
1166#433C2×D7311yescharacteristic, complemented
1167#418—731no—
1168#417—731no—
1169#416—731no—
1170#416—731no—
1171#416—731no—
1172C2×#103—731no—
1173C2×#102—731no—
1174C2×#102—731no—
1175#408—731no—
1176#408—731no—
1177C2×C22⋊C8—731no—
1178C2×C22⋊C8—731no—
1179H(5,𝔽2)—2922no—
1180H(5,𝔽2)—2922no—
1181C2×#41—2922no—
1182C2×#41—2922no—
1183C2×#41—731no—
1184C2×#41—731no—
1185C2×#41—731no—
1186C2×#41—731no—
1187C2×#41—731no—
1188C2×#41—731no—
1189C2×#41—731no—
1190C2×#41—731no—
1191C2×#41—1461no—
1192C2×#41—1461no—
1193C2×#41—1461no—
1194C2×#41—1461no—
1195C2×#41C22×D7311yescharacteristic
1196C22×Q8—731no—
1197C22×D4—731no—
1198C22×D4—731no—
1199C22×D4—731no—
1200C22×D4—731no—
1201C22×D4—731no—
1202C22×D4—731no—
1203C22×D4—1461no—
1204C22×D4—1461no—
1205C22×D4—1461no—
1206C22×D4—1461no—
1207C22×D4—1461no—
1208C22×D4—1461no—
1209C22×D4—1461no—
1210C22×D4—1461no—
1211C22×D4—1461no—
1212C23×C4—731no—
1213C23×C4—1461no—
1214AGL(1,ℤ/8)—2922no—
1215AGL(1,ℤ/8)—2922no—
1216#135—2922no—
1217#135—2922no—
1218#135—2922no—
1219C2×Q16—731no—
1220C2×Q16C22×D7311yescharacteristic
1221C2×SD16—2922no—
1222C2×SD16—731no—
1223C2×SD16—731no—
1224C2×SD16—731no—
1225C2×SD16—731no—
1226C2×SD16—731no—
1227C2×SD16—731no—
1228C2×SD16—731no—
1229C2×SD16—731no—
1230C2×SD16C22×D7311yescharacteristic
1231C2×SD16C22×D7311yescharacteristic
1232C2×D8—2922no—
1233C2×D8—2922no—
1234C2×D8—731no—
1235C2×D8—731no—
1236C2×D8—731no—
1237C2×D8—731no—
1238C2×D8—731no—
1239C2×D8—731no—
1240C2×D8—731no—
1241C2×D8—731no—
1242C2×D8—731no—
1243C2×D8—731no—
1244C2×D8—731no—
1245C2×D8C22×D7311yescharacteristic
1246C2×M16—731no—
1247C2×M16—731no—
1248C22×C8—731no—
1249C22×C8—731no—
1250C22×C8—731no—
1251C22×C8—731no—
1252C22×C8—731no—
1253C22×C8—731no—
1254C4⋊Q8C22×D7311yescharacteristic
1255#127—731no—
1256#127—731no—
1257#127—731no—
1258#127—1461no—
1259#127—1461no—
1260#127—1461no—
1261#127—1461no—
1262#126—21no—
1263#126—1461no—
1264#126—1461no—
1265#125—731no—
1266#125—1461no—
1267#124—21no—
1268#124—731no—
1269#124—731no—
1270#124—1461no—
1271#124—1461no—
1272#124—1461no—
1273#124—1461no—
1274#124—1461no—
1275#124C22×D7311yescharacteristic
1276#123—21no—
1277#123—731no—
1278#123—731no—
1279#123—1461no—
1280#123—1461no—
1281#123—1461no—
1282#123—1461no—
1283#123—1461no—
1284#123—1461no—
1285#123—1461no—
1286#123—1461no—
1287#123—1461no—
1288#123—1461no—
1289#123—1461no—
1290C22⋊Q8—21no—
1291C22⋊Q8—731no—
1292C22⋊Q8—731no—
1293C22⋊Q8—731no—
1294C22⋊Q8—731no—
1295C22⋊Q8—731no—
1296C22⋊Q8—731no—
1297C22⋊Q8—1461no—
1298C22⋊Q8—1461no—
1299C22⋊Q8—1461no—
1300C22⋊Q8—1461no—
1301C22⋊Q8—1461no—
1302C22⋊Q8C22×D7311yescharacteristic
1303#121—731no—
1304#121—731no—
1305#121—731no—
1306#121—731no—
1307#121—731no—
1308#121—731no—
1309#121—731no—
1310#121—731no—
1311#121—731no—
1312#121—731no—
1313#121—731no—
1314#121—731no—
1315#121—731no—
1316#121—731no—
1317#121—731no—
1318#121—731no—
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#121—1461no—
1331#121—1461no—
1332#121—1461no—
1333#121—1461no—
1334#121—1461no—
1335#121—1461no—
1336#121—1461no—
1337#121—1461no—
1338#121—1461no—
1339#121—1461no—
1340#121—1461no—
1341#121—1461no—
1342#121—1461no—
1343#121—1461no—
1344#121—1461no—
1345#121—1461no—
1346#121—1461no—
1347#121—1461no—
1348#121—1461no—
1349#121—1461no—
1350#121C22×D7311yescharacteristic
1351#120—731no—
1352#120—731no—
1353#120—1461no—
1354#120—1461no—
1355#120—1461no—
1356#120—1461no—
1357#120—1461no—
1358#120—1461no—
1359#120—1461no—
1360#120—1461no—
1361#120—1461no—
1362#120—1461no—
1363#120—1461no—
1364#120—1461no—
1365#120—1461no—
1366#120—1461no—
1367#120—1461no—
1368C4×Q8C22×D7311yescharacteristic
1369C4×Q8C22×D7311yescharacteristic
1370C4×Q8C22×D7311yescharacteristic
1371C4×D4—21no—
1372C4×D4—21no—
1373C4×D4—731no—
1374C4×D4—731no—
1375C4×D4—731no—
1376C4×D4—731no—
1377C4×D4—731no—
1378C4×D4—731no—
1379C4×D4—1461no—
1380C4×D4—1461no—
1381C4×D4—1461no—
1382C4×D4—1461no—
1383C4×D4—1461no—
1384C4×D4—1461no—
1385C4×D4—1461no—
1386C4×D4—1461no—
1387C4×D4C22×D7311yescharacteristic
1388C4×D4C22×D7311yescharacteristic
1389C4×D4C22×D7311yescharacteristic
1390#117—21no—
1391#117—731no—
1392#117—731no—
1393#117—1461no—
1394#117—1461no—
1395#117C22×D7311yescharacteristic
1396C2×C4⋊C4—21no—
1397C2×C4⋊C4—731no—
1398C2×C4⋊C4—731no—
1399C2×C4⋊C4C22×D7311yescharacteristic
1400C2×C22⋊C4—1461no—
1401C2×C22⋊C4—1461no—
1402C2×C22⋊C4—1461no—
1403C2×C22⋊C4—1461no—
1404C2×C22⋊C4—1461no—
1405C2×C22⋊C4—1461no—
1406#107—731no—
1407#107—731no—
1408#107C22×D7311yescharacteristic
1409#107C22×D7311yescharacteristic
1410#107C22×D7311yescharacteristic
1411#107C22×D7311yescharacteristic
1412#106—731no—
1413#106—731no—
1414C4⋊C8—731no—
1415C4⋊C8—731no—
1416C4⋊C8C22×D7311yescharacteristic
1417C4⋊C8C22×D7311yescharacteristic
1418#103—731no—
1419#103—731no—
1420#103—731no—
1421#103—731no—
1422#103—731no—
1423#103—731no—
1424#103C22×D7311yescharacteristic
1425#103C22×D7311yescharacteristic
1426#103C22×D7311yescharacteristic
1427#103C22×D7311yescharacteristic
1428#102—731no—
1429#102—731no—
1430#102—731no—
1431#102—731no—
1432#102—731no—
1433#102—731no—
1434#102—731no—
1435#102—731no—
1436#102—731no—
1437#102—731no—
1438#102—731no—
1439#102—731no—
1440#102—731no—
1441#102—731no—
1442#102—731no—
1443#102—731no—
1444#102—731no—
1445#102—731no—
1446#102C22×D7311yescharacteristic
1447#102C22×D7311yescharacteristic
1448#102C22×D7311yescharacteristic
1449#102C22×D7311yescharacteristic
1450C22⋊C8—731no—
1451C22⋊C8—731no—
1452C22⋊C8—731no—
1453C22⋊C8—731no—
1454C22⋊C8—731no—
1455C22⋊C8—731no—
1456C22⋊C8—731no—
1457C22⋊C8—731no—
1458C22⋊C8—731no—
1459C22⋊C8—731no—
1460C22⋊C8C22×D7311yescharacteristic
1461C22⋊C8C22×D7311yescharacteristic
1462#97—731no—
1463#97C22×D7311yescharacteristic
1464C4×C8—731no—
1465C4×C8C22×D7311yescharacteristic
1466C24—731no—
1467C24—1461no—
1468C24—1461no—
1469C24—1461no—
1470C24—1461no—
1471C24—1461no—
1472C24—1461no—
1473#41—22no—
1474#41—22no—
1475#41—2924no—
1476#41—2924no—
1477#41—2921no—
1478#41—2921no—
1479#41—2921no—
1480#41—2921no—
1481#41—2924no—
1482#41—2921no—
1483#41—2921no—
1484#41—2921no—
1485#41—2921no—
1486#41—2921no—
1487#41—2921no—
1488#41—2921no—
1489#41—2921no—
1490#41—5842no—
1491#41—1462no—
1492#41—1462no—
1493#41—1462no—
1494#41—1462no—
1495C2×Q8—21no—
1496C2×Q8—2921no—
1497C2×Q8—731no—
1498C2×Q8—731no—
1499C2×Q8—1461no—
1500C2×Q8—1462no—
1501C2×Q8C23×D7311yescharacteristic
1502C2×Q8C23×D7311yescharacteristic
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—2924no—
1506C2×D4—2921no—
1507C2×D4—2921no—
1508C2×D4—2924no—
1509C2×D4—2924no—
1510C2×D4—2924no—
1511C2×D4—2921no—
1512C2×D4—2921no—
1513C2×D4—2921no—
1514C2×D4—2921no—
1515C2×D4—2921no—
1516C2×D4—2921no—
1517C2×D4—2921no—
1518C2×D4—5842no—
1519C2×D4—5842no—
1520C2×D4—5842no—
1521C2×D4—5842no—
1522C2×D4—5842no—
1523C2×D4—731no—
1524C2×D4—731no—
1525C2×D4—731no—
1526C2×D4—731no—
1527C2×D4—731no—
1528C2×D4—731no—
1529C2×D4—731no—
1530C2×D4—731no—
1531C2×D4—731no—
1532C2×D4—731no—
1533C2×D4—731no—
1534C2×D4—731no—
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×D4—1461no—
1547C2×D4—1461no—
1548C2×D4—1461no—
1549C2×D4—1461no—
1550C2×D4—1461no—
1551C2×D4—1461no—
1552C2×D4—1461no—
1553C2×D4—1461no—
1554C2×D4—1461no—
1555C2×D4—1461no—
1556C2×D4—1461no—
1557C2×D4—1462no—
1558C2×D4—1462no—
1559C2×D4—1462no—
1560C2×D4—1461no—
1561C2×D4—1461no—
1562C2×D4—1461no—
1563C2×D4—1461no—
1564C2×D4—1461no—
1565C2×D4—1461no—
1566C2×D4—1461no—
1567C2×D4—1461no—
1568C2×D4—1461no—
1569C2×D4—1461no—
1570C2×D4—1461no—
1571C2×D4C23×D7311yescharacteristic
1572C2×D4C23×D7311yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—21no—
1578C22×C4—2924no—
1579C22×C4—2921no—
1580C22×C4—2921no—
1581C22×C4—731no—
1582C22×C4—731no—
1583C22×C4—731no—
1584C22×C4—731no—
1585C22×C4—731no—
1586C22×C4—731no—
1587C22×C4—731no—
1588C22×C4—1461no—
1589C22×C4—1461no—
1590C22×C4—1461no—
1591C22×C4—1461no—
1592C22×C4—1461no—
1593C22×C4—1461no—
1594C22×C4—1461no—
1595C22×C4—1461no—
1596C22×C4—1461no—
1597C22×C4—1461no—
1598C22×C4—1461no—
1599C22×C4—1461no—
1600C22×C4C23×D7311yescharacteristic
1601Q16—22no—
1602Q16—2921no—
1603SD16—22no—
1604SD16—22no—
1605SD16—2921no—
1606SD16—2921no—
1607SD16—2921no—
1608SD16—2921no—
1609SD16—2921no—
1610SD16—2921no—
1611SD16—1462no—
1612SD16—1462no—
1613D8—22no—
1614D8—2921no—
1615D8—2921no—
1616D8—2921no—
1617D8—2921no—
1618D8—2921no—
1619D8—2921no—
1620D8—2921no—
1621D8—2921no—
1622D8—2921no—
1623D8—1462no—
1624D8—1462no—
1625M16—2921no—
1626M16—2921no—
1627C2×C8—2921no—
1628C2×C8—2921no—
1629C2×C8—2921no—
1630C2×C8—2921no—
1631C2×C8—2921no—
1632C2×C8—2921no—
1633C2×C8—731no—
1634C2×C8—731no—
1635C2×C8—731no—
1636C2×C8—731no—
1637C2×C8C23×D7311yescharacteristic
1638C2×C8C23×D7311yescharacteristic
1639C2×C8C23×D7311yescharacteristic
1640C2×C8C23×D7311yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—21no—
1646C4⋊C4—21no—
1647C4⋊C4—731no—
1648C4⋊C4—731no—
1649C4⋊C4—731no—
1650C4⋊C4—731no—
1651C4⋊C4—731no—
1652C4⋊C4—731no—
1653C4⋊C4—1461no—
1654C4⋊C4—1461no—
1655C4⋊C4—1461no—
1656C4⋊C4—1461no—
1657C4⋊C4—1461no—
1658C4⋊C4—1461no—
1659C4⋊C4—1461no—
1660C4⋊C4—1461no—
1661C4⋊C4D4×D7311yescharacteristic
1662C4⋊C4D4×D7311yescharacteristic
1663C4⋊C4C23×D7311yescharacteristic
1664C4⋊C4C23×D7311yescharacteristic
1665C4⋊C4C23×D7311yescharacteristic
1666C4⋊C4C23×D7311yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—731no—
1675C22⋊C4—731no—
1676C22⋊C4—731no—
1677C22⋊C4—731no—
1678C22⋊C4—731no—
1679C22⋊C4—731no—
1680C22⋊C4—731no—
1681C22⋊C4—731no—
1682C22⋊C4—1461no—
1683C22⋊C4—1461no—
1684C22⋊C4—1461no—
1685C22⋊C4—1461no—
1686C22⋊C4—1461no—
1687C22⋊C4—1461no—
1688C22⋊C4—1461no—
1689C22⋊C4—1461no—
1690C22⋊C4—1461no—
1691C22⋊C4—1461no—
1692C22⋊C4—1461no—
1693C22⋊C4—1461no—
1694C22⋊C4—1461no—
1695C22⋊C4—1461no—
1696C22⋊C4—1461no—
1697C22⋊C4—1461no—
1698C22⋊C4—1461no—
1699C22⋊C4—1461no—
1700C22⋊C4—1461no—
1701C22⋊C4—1461no—
1702C22⋊C4—1461no—
1703C22⋊C4—1461no—
1704C22⋊C4—1461no—
1705C22⋊C4—1461no—
1706C22⋊C4—1461no—
1707C22⋊C4—1461no—
1708C22⋊C4D4×D7311yescharacteristic
1709C22⋊C4D4×D7311yescharacteristic
1710C42—21no—
1711C42—21no—
1712C42—21no—
1713C42—1461no—
1714C42—1461no—
1715C42C23×D7311yescharacteristic
1716C42C23×D7311yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—2922no—
1720C23—2922no—
1721C23—2922no—
1722C23—2922no—
1723C23—2921no—
1724C23—2921no—
1725C23—2922no—
1726C23—2922no—
1727C23—5841no—
1728C23—5841no—
1729C23—5841no—
1730C23—5841no—
1731C23—5841no—
1732C23—5841no—
1733C23—5841no—
1734C23—5841no—
1735C23—5841no—
1736C23—5841no—
1737C23—5841no—
1738C23—5841no—
1739C23—731no—
1740C23—731no—
1741C23—731no—
1742C23—731no—
1743C23—1462no—
1744C23—1461no—
1745C23—1461no—
1746C23—1461no—
1747C23—1461no—
1748C23—1461no—
1749C23C2×D4×D7311yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—81no—
1754Q8—2922no—
1755Q8—2921no—
1756Q8—1461no—
1757Q8—1461no—
1758Q8#1455663712yes—
1759D4—24no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—81no—
1764D4—2922no—
1765D4—2922no—
1766D4—2922no—
1767D4—2922no—
1768D4—2921no—
1769D4—2921no—
1770D4—2921no—
1771D4—2922no—
1772D4—2922no—
1773D4—2922no—
1774D4—2922no—
1775D4—2922no—
1776D4—2922no—
1777D4—2922no—
1778D4—2922no—
1779D4—2921no—
1780D4—2921no—
1781D4—5841no—
1782D4—5841no—
1783D4—5841no—
1784D4—5841no—
1785D4—5841no—
1786D4—5841no—
1787D4—5841no—
1788D4—5841no—
1789D4—5841no—
1790D4—5841no—
1791D4—5841no—
1792D4—5841no—
1793D4—5841no—
1794D4—5841no—
1795D4—5841no—
1796D4—5841no—
1797D4—5841no—
1798D4—5841no—
1799D4—5841no—
1800D4—5841no—
1801D4—5841no—
1802D4—1462no—
1803D4—1462no—
1804D4—1461no—
1805D4—1461no—
1806D4—1461no—
1807D4—1461no—
1808D4—1461no—
1809D4—1461no—
1810D4—1461no—
1811D4—1461no—
1812D4—1461no—
1813D4—1461no—
1814D4#1455663712yes—
1815C2×C4—24no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—81no—
1825C2×C4—81no—
1826C2×C4—81no—
1827C2×C4—81no—
1828C2×C4—2922no—
1829C2×C4—2922no—
1830C2×C4—2922no—
1831C2×C4—2922no—
1832C2×C4—2922no—
1833C2×C4—2921no—
1834C2×C4—2921no—
1835C2×C4—2922no—
1836C2×C4—2922no—
1837C2×C4—2921no—
1838C2×C4—5841no—
1839C2×C4—5841no—
1840C2×C4—5841no—
1841C2×C4—5841no—
1842C2×C4—5841no—
1843C2×C4—731no—
1844C2×C4—731no—
1845C2×C4—731no—
1846C2×C4—731no—
1847C2×C4—1461no—
1848C2×C4—1461no—
1849C2×C4—1461no—
1850C2×C4—1461no—
1851C2×C4—1461no—
1852C2×C4—1461no—
1853C2×C4—1461no—
1854C2×C4—1461no—
1855C2×C4—1461no—
1856C2×C4—1461no—
1857C2×C4—1461no—
1858C2×C4C2×D4×D7311yescharacteristic
1859C2×C4C2×D4×D7311yescharacteristic
1860C2×C4C2×D4×D7311yescharacteristic
1861C2×C4C2×D4×D7311yescharacteristic
1862C2×C4C2×D4×D7311yescharacteristic
1863C2×C4C24×D7311yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—1461no—
1869C8—1461no—
1870C8—1461no—
1871C8—1461no—
1872C22—21no—
1873C22—22no—
1874C22—21no—
1875C22—21no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—2921no—
1882C22—2921no—
1883C22—2921no—
1884C22—2921no—
1885C22—2921no—
1886C22—2921no—
1887C22—2921no—
1888C22—2921no—
1889C22—2921no—
1890C22—2921no—
1891C22—2921no—
1892C22—2921no—
1893C22—2921no—
1894C22—2921no—
1895C22—2921no—
1896C22—5842no—
1897C22—5844no—
1898C22—732no—
1899C22—11682no—
1900C22—11682no—
1901C22—11682no—
1902C22—11682no—
1903C22—11682no—
1904C22—1461no—
1905C22—1461no—
1906C22—1461no—
1907C22—1461no—
1908C22—1461no—
1909C22—1461no—
1910C22—1461no—
1911C22—1461no—
1912C22—1461no—
1913C22—1461no—
1914C22—1461no—
1915C22C22×D4×D7311yescharacteristic
1916C4—21no—
1917C4—22no—
1918C4—21no—
1919C4—21no—
1920C4—21no—
1921C4—21no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—41no—
1926C4—41no—
1927C4—2921no—
1928C4—2921no—
1929C4—2921no—
1930C4—1461no—
1931C4—1461no—
1932C4—1461no—
1933C4—1461no—
1934C4C2×#1455663711yescharacteristic
1935C4C2×#1455663711yescharacteristic
1936C2—41no—
1937C2—42no—
1938C2—81no—
1939C2—2921no—
1940C2—2921no—
1941C2—2921no—
1942C2—5841no—
1943C2—5841no—
1944C2—5841no—
1945C2—5841no—
1946C2—5841no—
1947C2—1462no—
1948C2#2262356411yescharacteristic
1949C2#576×D7311yescharacteristic
1950C2#2262470111yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3124C2
socleC22×C73C23×D4
hypercenter#3124D73
hypocenterC73#61639
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3124

Complements

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

NH ≅ G/Ntype
1. #22624243C2semidirect
2. #22623601C2semidirect
3. #22622084C2semidirect
4. #22621957C2semidirect
5. #22621942C2semidirect
6. #22621919C2semidirect
7. #22621878C2semidirect
8. #22621823C2semidirect
9. #22621786C2semidirect
10. #22621741C2semidirect
11. #22621690C2semidirect
12. #22621633C2semidirect
13. #22621611C2semidirect
14. D8×D292C2semidirect
15. #22621473C2semidirect
16. #22621466C2semidirect
17. #22621428C2semidirect
18. #22621417C2semidirect
19. #22621019C2semidirect
20. #22620983C2semidirect
21. #22620835C2semidirect
22. #22620790C2semidirect
23. #22620701C2semidirect
24. #22620681C2semidirect
25. #22620130C2semidirect
26. #22619239C2semidirect
27. #22619196C2semidirect
28. #22619152C2semidirect
29. #449×D73C2semidirect
30. #22618986C2semidirect
31. C73×#3124C2semidirect
32. C2×#14556637C22semidirect
33. C2×#41×D73C22semidirect
34. C2×#14556618C22semidirect
35. C2×#14556618C22semidirect
36. C2×#14556614C22semidirect
37. C2×#14556614C22semidirect
38. C2×#14556612C22semidirect
39. C2×SD16×D73C22semidirect
40. C2×D8×D73C22semidirect
41. C2×D8×D73C22semidirect
44. #17989303C22semidirect
45. #17989287C22semidirect
46. #17989278C22semidirect
48. #17989259C22semidirect
49. #17989259C22semidirect
50. #17989259C22semidirect
52. #17989249C22semidirect
53. #17989240C22semidirect
56. #17989232C22semidirect
57. #17989232C22semidirect
58. #17989230C22semidirect
59. #17989230C22semidirect
64. D4×D292C22semidirect
65. D4×D292C22semidirect
66. #17989192C22semidirect
70. #17989168C22semidirect
71. #17989167C22semidirect
73. #17989156C22semidirect
75. #17989153C22semidirect
77. #17989100C22semidirect
81. C2×#14556566C22semidirect
82. #121×D73C22semidirect
83. #17988977C22semidirect
84. #17988976C22semidirect
85. #17988969C22semidirect
86. #17988964C22semidirect
87. #17988952C22semidirect
88. #17988949C22semidirect
89. #17988942C22semidirect
90. #17988935C22semidirect
91. #17988930C22semidirect
92. #17988924C22semidirect
93. #17988914C22semidirect
94. #17988914C22semidirect
95. #17988914C22semidirect
96. #17988905C22semidirect
97. #17988902C22semidirect
98. #17988902C22semidirect
99. #17988902C22semidirect
100. #17988900C22semidirect
101. #17988894C22semidirect
102. #17988887C22semidirect
103. #17988839C22semidirect
104. #17988836C22semidirect
105. #17988834C22semidirect
106. #17988834C22semidirect
107. #17988827C22semidirect
108. #17988824C22semidirect
109. #17988824C22semidirect
110. #17988824C22semidirect
111. #17988824C22semidirect
112. #17988824C22semidirect
113. #17988824C22semidirect
114. #17988822C22semidirect
115. #17988822C22semidirect
116. #17988819C22semidirect
117. #17988819C22semidirect
118. #17988815C22semidirect
119. #17988809C22semidirect
120. #17988803C22semidirect
121. #17988803C22semidirect
122. #17988802C22semidirect
123. #17988787C22semidirect
124. #17988787C22semidirect
125. #17988783C22semidirect
126. #17988783C22semidirect
127. #17988782C22semidirect
128. #17988782C22semidirect
129. #17988752C22semidirect
130. #17988748C22semidirect
131. #17988747C22semidirect
132. #17988741C22semidirect
133. #17988739C22semidirect
134. #17988737C22semidirect
135. #17988736C22semidirect
136. #17988736C22semidirect
137. #17988735C22semidirect
138. #17988735C22semidirect
139. #17988735C22semidirect
140. #17988735C22semidirect
141. #17988735C22semidirect
142. #17988735C22semidirect
143. #17988734C22semidirect
144. #17988734C22semidirect
145. #17988733C22semidirect
146. #17988732C22semidirect
147. #17988732C22semidirect
148. #17988731C22semidirect
149. #17988731C22semidirect
150. #17988730C22semidirect
151. #17988729C22semidirect
152. #17988727C22semidirect
153. #17988723C22semidirect
154. #17988723C22semidirect
155. #17988722C22semidirect
156. #17988722C22semidirect
157. #17988722C22semidirect
158. #17988722C22semidirect
159. #17988722C22semidirect
160. #17988722C22semidirect
161. #17988720C22semidirect
162. #17988719C22semidirect
163. #17988697C22semidirect
164. #17988685C22semidirect
165. C4×#11924015C22semidirect
166. C4×#11924013C22semidirect
167. #17988660C22semidirect
168. #17988660C22semidirect
169. #17988657C22semidirect
170. #17988657C22semidirect
171. C8×D292C22semidirect
172. C8×D292C22semidirect
173. #17988652C22semidirect
174. #17988652C22semidirect
175. #17988648C22semidirect
176. #17988590C22semidirect
177. #17988587C22semidirect
178. #17988582C22semidirect
179. #17988582C22semidirect
180. #17988580C22semidirect
181. #103×D73C22semidirect
182. #102×D73C22semidirect
183. #102×D73C22semidirect
184. #17988552C22semidirect
185. #17988552C22semidirect
186. C22⋊C8×D73C22semidirect
187. C22⋊C8×D73C22semidirect
188. #542×C73C22semidirect
189. #520×C73C22semidirect
190. #484×C73C22semidirect
191. #480×C73C22semidirect
192. #477×C73C22semidirect
193. #474×C73C22semidirect
194. #464×C73C22semidirect
195. #463×C73C22semidirect
196. #452×C73C22semidirect
198. #440×C73C22semidirect
199. #440×C73C22semidirect
200. C4×Q16×C73C22semidirect
201. C4×D8×C73C22semidirect
202. #433×C73C22semidirect
1000. #3124D73semidirect
1007. C73#61639semidirect
1042. #542C2×D73semidirect
1060. #520C2×D73semidirect
1071. #484C2×D73semidirect
1080. #480C2×D73semidirect
1083. #477C2×D73semidirect
1084. #474C2×D73semidirect
1102. #464C2×D73semidirect
1106. #463C2×D73semidirect
1116. #452C2×D73semidirect
1151. #440C2×D73semidirect
1152. #440C2×D73semidirect
1153. C4×Q16C2×D73semidirect
1156. C4×D8C2×D73semidirect
1166. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242432
#226236012
#226220842
#226219572
#226219422
#226219192
#226218782
#226218232
#226217862
#226217412
#226216902
#226216332
#226216112
D8×D2922
#226214732
#226214662
#226214282
#226214172
#226210192
#226209832
#226208352
#226207902
#226207012
#226206812
#226201302
#226192392
#226191962
#226191522
#449×D732
#226189862
C73×#31242
#6163973