Finite Group Databasebeta

← #33979793

Subgroups — #33979793

Order 18688.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624525C211yesmaximal, characteristic, complemented
2#22623869C211yesmaximal, characteristic, complemented
3#22622990C211yesmaximal, characteristic, complemented
4#22622942C211yesmaximal, characteristic, complemented
5#22622687C211yesmaximal, characteristic, complemented
6#22622583C211yesmaximal, characteristic, complemented
7#22622231C211yesmaximal, characteristic, complemented
8#22622196C211yesmaximal, characteristic, complemented
9#22622179C211yesmaximal, characteristic, complemented
10#22622054C211yesmaximal, characteristic, complemented
11#22621898C211yesmaximal, characteristic, complemented
12#22621787C211yesmaximal, characteristic, complemented
13#22621645C211yesmaximal, characteristic, complemented
14#22621546C211yesmaximal, characteristic, complemented
15#22621539C211yesmaximal, characteristic, complemented
16#22621539C211yesmaximal, characteristic, complemented
17#22621453C211yesmaximal, characteristic, complemented
18#22621421C211yesmaximal, characteristic, complemented
19#22621346C211yesmaximal, characteristic, complemented
20#22621331C211yesmaximal, characteristic, complemented
21#22621039C211yesmaximal, characteristic, complemented
22#22620975C211yesmaximal, characteristic, complemented
23#22620906C211yesmaximal, characteristic, complemented
24#22620176C211yesmaximal, characteristic, complemented
25#22620139C211yesmaximal, characteristic, complemented
26#22619983C211yesmaximal, characteristic, complemented
27#22619472C211yesmaximal, characteristic, complemented
28#22619438C211yesmaximal, characteristic, complemented
29#22619396C211yesmaximal, characteristic, complemented
30#22619078C211yesmaximal, characteristic, complemented
31C73×#3260C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556618C2211yescharacteristic
34C2×#14556618C2211yescharacteristic
35C2×#14556618C2211yescharacteristic, complemented
36C2×#14556613C2211yescharacteristic
37C2×SD16×D73C2211yescharacteristic, complemented
38#17989335—21no—
39#17989328—21no—
40#17989323C2211yescharacteristic, complemented
41#17989322C2211yescharacteristic, complemented
42#17989309C2211yescharacteristic, complemented
43#17989293C2211yescharacteristic, complemented
44#17989290—21no—
45#17989289C2211yescharacteristic
46#17989284—21no—
47#17989275C2211yescharacteristic, complemented
48#17989265—21no—
49#17989262—21no—
50#17989260—21no—
51#17989259C2211yescharacteristic
52#17989249C2211yescharacteristic
53#17989247C2211yescharacteristic, complemented
54#17989239C2211yescharacteristic, complemented
55#17989237C2211yescharacteristic
56#17989234C2211yescharacteristic
57#17989234C2211yescharacteristic
58#17989228C2211yescharacteristic, complemented
59#17989228C2211yescharacteristic, complemented
60#17989226—21no—
61#17989222C2211yescharacteristic, complemented
62#17989202C2211yescharacteristic, complemented
63#17989193—21no—
64#17989193C2211yescharacteristic, complemented
65#17989185—21no—
66#17989180—21no—
67#17989176—21no—
68#17989176—21no—
69#17989169—21no—
70#17989162C2211yescharacteristic, complemented
71#17989156C2211yescharacteristic, complemented
72#17989138C2211yescharacteristic, complemented
73#17989122C2211yescharacteristic, complemented
74#17989119C2211yescharacteristic, complemented
75#17989115C2211yescharacteristic
76#17989097—21no—
77#123×D73—21no—
78#17989067C2211yescharacteristic
79#17989059C2211yescharacteristic, complemented
80C4×D4×D73C2211yescharacteristic, complemented
81#17988978C2211yescharacteristic, complemented
82#17988974C2211yescharacteristic
83#17988968C2211yescharacteristic, complemented
84#17988968C2211yescharacteristic, complemented
85#17988968C2211yescharacteristic, complemented
86#17988963C2211yescharacteristic
87#17988953C2211yescharacteristic, complemented
88#17988948C2211yescharacteristic, complemented
89#17988944C2211yescharacteristic, complemented
90#17988943C2211yescharacteristic, complemented
91#17988943C2211yescharacteristic, complemented
92#17988936C2211yescharacteristic, complemented
93#17988924C2211yescharacteristic, complemented
94#17988920C2211yescharacteristic, complemented
95#17988915C2211yescharacteristic, complemented
96#17988914C2211yescharacteristic, complemented
97#17988913C2211yescharacteristic, complemented
98#17988907C2211yescharacteristic, complemented
99#17988893C2211yescharacteristic, complemented
100#17988891C2211yescharacteristic, complemented
101#17988886C2211yescharacteristic, complemented
102#17988884C2211yescharacteristic, complemented
103#17988876C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988846C2211yescharacteristic, complemented
106#17988839C2211yescharacteristic
107#17988839C2211yescharacteristic, complemented
108#17988834C2211yescharacteristic, complemented
109#17988834C2211yescharacteristic, complemented
110#17988832C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic
112#17988817C2211yescharacteristic, complemented
113#17988810C2211yescharacteristic, complemented
114#17988810C2211yescharacteristic, complemented
115#17988808C2211yescharacteristic, complemented
116#17988805C2211yescharacteristic
117#17988805C2211yescharacteristic
118#17988805C2211yescharacteristic, complemented
119#17988804C2211yescharacteristic, complemented
120#17988804C2211yescharacteristic, complemented
121#17988804C2211yescharacteristic, complemented
122#17988803C2211yescharacteristic
123#17988803C2211yescharacteristic
124#17988802C2211yescharacteristic, complemented
125#17988802C2211yescharacteristic, complemented
126#17988801C2211yescharacteristic, complemented
127#17988801C2211yescharacteristic, complemented
128#17988801C2211yescharacteristic, complemented
129#17988794C2211yescharacteristic, complemented
130#17988791C2211yescharacteristic, complemented
131#17988790C2211yescharacteristic, complemented
132#17988789C2211yescharacteristic, complemented
133#17988788C2211yescharacteristic, complemented
134#17988788C2211yescharacteristic, complemented
135#17988783C2211yescharacteristic
136#17988783C2211yescharacteristic
137#17988782C2211yescharacteristic, complemented
138#17988782C2211yescharacteristic, complemented
139#17988752C2211yescharacteristic, complemented
140#17988752C2211yescharacteristic, complemented
141#17988752C2211yescharacteristic, complemented
142#17988747C2211yescharacteristic
143#17988747C2211yescharacteristic
144#17988744C2211yescharacteristic, complemented
145#17988739C2211yescharacteristic, complemented
146#17988731C2211yescharacteristic
147#17988731C2211yescharacteristic
148#17988731C2211yescharacteristic, complemented
149#17988730C2211yescharacteristic, complemented
150#17988730C2211yescharacteristic, complemented
151#17988724C2211yescharacteristic, complemented
152#17988722C2211yescharacteristic
153#17988722C2211yescharacteristic
154#17988722C2211yescharacteristic, complemented
155#17988720C2211yescharacteristic, complemented
156#17988720C2211yescharacteristic, complemented
157#17988716C2211yescharacteristic, complemented
158#17988711C2211yescharacteristic, complemented
159#17988698C2211yescharacteristic, complemented
160#17988696C2211yescharacteristic, complemented
161#17988692C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic, complemented
163C4×#11924018C2211yescharacteristic, complemented
164#17988678C2211yescharacteristic, complemented
165C4×#11924015C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic, complemented
167#17988669C2211yescharacteristic
168#17988669C2211yescharacteristic
169#17988667C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic, complemented
171#17988664C2211yescharacteristic, complemented
172#17988663C2211yescharacteristic, complemented
173#17988663C2211yescharacteristic, complemented
174#17988658C2211yescharacteristic, complemented
175#17988657C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988648C2211yescharacteristic, complemented
178#17988647C2211yescharacteristic, complemented
179#17988639C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181#17988609C2211yescharacteristic, complemented
182#17988594C2211yescharacteristic, complemented
183#17988589C2211yescharacteristic, complemented
184#17988587C2211yescharacteristic, complemented
185#17988587C2211yescharacteristic, complemented
186#17988582C2211yescharacteristic, complemented
187C2×#14556513C2211yescharacteristic, complemented
188#541×C73C2211yescharacteristic, complemented
189#540×C73C2211yescharacteristic
190#479×C73C2211yescharacteristic, complemented
191#479×C73C2211yescharacteristic, complemented
192#478×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#465×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic, complemented
198#461×C73C2211yescharacteristic, complemented
199#461×C73C2211yescharacteristic, complemented
200#460×C73C2211yescharacteristic, complemented
201#460×C73C2211yescharacteristic, complemented
202#424×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924028C2311yescharacteristic
208C2×#11924027—21no—
209C2×Q8×D73C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C2×D4×D73—21no—
212C2×D4×D73C2311yescharacteristic
213C2×D4×D73C2311yescharacteristic
214C22×C4×D73—21no—
215#14556619—42no—
216#14556618—42no—
217#14556618—42no—
218#14556618—42no—
219#14556613—42no—
220C2×Dic292C2311yescharacteristic
221C2×#11924018C2311yescharacteristic
222C2×#11924018C2311yescharacteristic
223C2×#11924017C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231SD16×D73—42no—
232C2×D584C2311yescharacteristic
233C2×D584C2311yescharacteristic
234C2×D584C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924011C2311yescharacteristic
242C2×#11924011C2311yescharacteristic
243C2×#11924011C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245#14556590C2311yescharacteristic
246#14556589C2311yescharacteristic
247#14556588—21no—
248#14556588C2311yescharacteristic
249#14556588C2311yescharacteristic
250#14556586—21no—
251#14556586—21no—
252#14556586—21no—
253#14556586D411yescharacteristic
254#14556585—21no—
255#14556584—21no—
256#14556584—21no—
257#14556584—21no—
258#14556584D411yescharacteristic
259#14556582—21no—
260#14556582C2311yescharacteristic
261#14556581D411yescharacteristic
262#14556580C2311yescharacteristic
263#14556580C2311yescharacteristic
264#14556580C2311yescharacteristic
265#14556579—21no—
266#14556579—21no—
267#14556579C2311yescharacteristic
268#14556579C2311yescharacteristic
269#14556578—21no—
270#14556578C2311yescharacteristic
271#14556578C2311yescharacteristic
272#14556577—21no—
273#14556577—21no—
274#14556577D411yescharacteristic
275#14556576—21no—
276#14556576—21no—
277#14556576—21no—
278#14556576—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556576—21no—
284#14556576—21no—
285#14556576—21no—
286#14556576D411yescharacteristic
287#14556575—21no—
288#14556574—21no—
289#14556573—21no—
290#14556573—21no—
291#14556573—21no—
292#14556573—21no—
293#14556573—21no—
294#14556573D411yescharacteristic
295#14556572—21no—
296#14556572—21no—
297#14556572—21no—
298#14556571—21no—
299#14556571—21no—
300#14556571C2311yescharacteristic
301#14556571C2311yescharacteristic
302#14556571C2311yescharacteristic
303#14556570—21no—
304#14556569—21no—
305#14556569—21no—
306#14556569—21no—
307#14556569—21no—
308#14556569—21no—
309#14556569—21no—
310#14556569D411yescharacteristic
311#14556568—21no—
312#14556566—21no—
313#14556566—21no—
314#14556566—21no—
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#14556566C2311yescharacteristic
324#14556566C2311yescharacteristic
325#14556566C2311yescharacteristic
326#14556564—21no—
327#14556564—21no—
328#14556564D411yescharacteristic
329#14556563—21no—
330#14556562—21no—
331#14556562—21no—
332#14556562—21no—
333#14556562C2311yescharacteristic
334#14556562C2311yescharacteristic
335#14556561—21no—
336#14556561—21no—
337#14556561—21no—
338#14556561—21no—
339#14556559—21no—
340#14556559—21no—
341#14556559—21no—
342#14556559—21no—
343C4×Dic146C2311yescharacteristic
344C4×Dic146C2311yescharacteristic
345C4×Dic146C2311yescharacteristic
346#14556556C2311yescharacteristic
347C4×D292—21no—
348C4×D292—21no—
349C4×D292—21no—
350C4×D292C2311yescharacteristic
351C4×D292C2311yescharacteristic
352C4×D292C2311yescharacteristic
353D4×Dic73—21no—
354D4×Dic73—21no—
355D4×Dic73C2311yescharacteristic
356D4×Dic73C2311yescharacteristic
357#14556553—21no—
358#14556553—21no—
359#14556553—21no—
360#14556553—21no—
361#14556553C2311yescharacteristic
362#14556553C2311yescharacteristic
363#14556553C2311yescharacteristic
364#14556553C2311yescharacteristic
365#14556553C2311yescharacteristic
366C4×C22⋊D73—21no—
367C4×C22⋊D73—21no—
368C4×C22⋊D73—21no—
369C4×C22⋊D73C2311yescharacteristic
370C4×C22⋊D73C2311yescharacteristic
371#14556551—21no—
372#14556551—21no—
373#14556551—21no—
374#14556551—21no—
375#14556550—21no—
376#14556549—21no—
377#14556549—21no—
378#14556549—21no—
379#14556549C2311yescharacteristic
380#14556548—21no—
381#14556548C2311yescharacteristic
382C2×C4⋊Dic73C2311yescharacteristic
383C4⋊C4×D73—21no—
384C4⋊C4×D73—21no—
385C4⋊C4×D73—21no—
386C4⋊C4×D73C2311yescharacteristic
387C2×#11924005—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C42×D73C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429C22⋊#10596831C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556502C2311yescharacteristic
436#14556501C2311yescharacteristic
437C4×#10596831C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×M16×C73C2311yescharacteristic
446C22×C8×C73C2311yescharacteristic
447C4⋊Q8×C73C2311yescharacteristic
448#127×C73C2311yescharacteristic
449#126×C73—21no—
450#126×C73—21no—
451#125×C73—21no—
452#125×C73—21no—
453#125×C73C2311yescharacteristic
454#125×C73C2311yescharacteristic
455#123×C73—21no—
456#123×C73—21no—
457C22⋊Q8×C73C2311yescharacteristic
458C22⋊Q8×C73C2311yescharacteristic
459#121×C73—21no—
460#121×C73—21no—
461#121×C73C2311yescharacteristic
462#121×C73C2311yescharacteristic
463C4×Q8×C73C2311yescharacteristic
464C4×Q8×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467#117×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#107×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471#106×C73C2311yescharacteristic
472C4⋊C8×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475C4⋊C8×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487#11924029—41no—
488#11924029—41no—
489#11924029—41no—
490#11924029—41no—
491#11924029—41no—
492#11924029—41no—
493#11924028—22no—
494#11924028—41no—
495#11924028—41no—
496#11924028—41no—
497#11924027—82no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146C2×D411yescharacteristic
501C2×Dic146C2411yescharacteristic
502C2×Dic146C2411yescharacteristic
503Q8×D73—41no—
504Q8×D73—41no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—21no—
514C2×D292—21no—
515C2×D292—21no—
516C2×D292—41no—
517C2×D292—41no—
518C2×D292C2×D411yescharacteristic
519C2×D292C2411yescharacteristic
520C2×D292C2411yescharacteristic
521C2×D292C2411yescharacteristic
522C2×D292C2411yescharacteristic
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73C2×D411yescharacteristic
530C2×C22⋊D73C2×D411yescharacteristic
531D4×D73—22no—
532D4×D73—22no—
533D4×D73—41no—
534D4×D73—41no—
535D4×D73—82no—
536C22×Dic73—21no—
537C22×Dic73—21no—
538C22×Dic73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—82no—
554C2×C4×D73C2×D411yescharacteristic
555C2×C4×D73C2×D411yescharacteristic
556C2×C4×D73C2411yescharacteristic
557C2×C4×D73C2411yescharacteristic
558Dic292—41no—
559#11924018—41no—
560#11924018—41no—
561#11924017—22no—
562#11924017—41no—
563#11924017—41no—
564#11924017—41no—
565#11924016—41no—
566#11924016—41no—
567#11924015—22no—
568#11924015—22no—
569D584—22no—
570D584—22no—
571D584—22no—
572#11924013—41no—
573#11924013—41no—
574#11924013—41no—
575#11924013—41no—
576#11924013—41no—
577#11924013—41no—
578#11924011—41no—
579#11924011—41no—
580#11924011—41no—
581C2×#10596831C2411yescharacteristic
582C2×#10596831C2411yescharacteristic
583C2×#10596831C2411yescharacteristic
584C2×#10596831C2411yescharacteristic
585C8×D73—41no—
586C4⋊Dic73—21no—
587C4⋊Dic73—21no—
588C4⋊Dic73—21no—
589C4⋊Dic73—21no—
590C4⋊Dic73—21no—
591C4⋊Dic73C2×D411yescharacteristic
592C4⋊Dic73C2×D411yescharacteristic
593C4⋊Dic73C2411yescharacteristic
594C4⋊Dic73C2411yescharacteristic
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607#11924007C2×D411yescharacteristic
608#11924007C2×D411yescharacteristic
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73C2×D411yescharacteristic
618C22⋊Dic73C2×D411yescharacteristic
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005C2×D411yescharacteristic
644#11924005C2×D411yescharacteristic
645#11924005C2×D411yescharacteristic
646#11924005C2×D411yescharacteristic
647#11924005C2×D411yescharacteristic
648#11924005C2×D411yescharacteristic
649C4×Dic73—21no—
650C4×Dic73—21no—
651C4×Dic73—21no—
652C4×Dic73—21no—
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2×D411yescharacteristic
655C4×Dic73C2411yescharacteristic
656C4×Dic73C2411yescharacteristic
657C2×Q8×C73C2411yescharacteristic
658C2×Q8×C73C2411yescharacteristic
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73C2411yescharacteristic
664C2×D4×C73C2411yescharacteristic
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73C2411yescharacteristic
668SD16×C73—41no—
669SD16×C73—41no—
670SD16×C73—41no—
671SD16×C73—41no—
672M16×C73—41no—
673C2×C8×C73—41no—
674C2×C8×C73C2411yescharacteristic
675C2×C8×C73C2411yescharacteristic
676C2×C8×C73C2411yescharacteristic
677C2×C8×C73C2411yescharacteristic
678C4⋊C4×C73—21no—
679C4⋊C4×C73—21no—
680C4⋊C4×C73—21no—
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73C2×D411yescharacteristic
689C4⋊C4×C73C2×D411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C4⋊C4×C73C2411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73C2×D411yescharacteristic
701C22⋊C4×C73C2×D411yescharacteristic
702C42×C73—21no—
703C42×C73—21no—
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73C22×D411yescharacteristic
709C22×D73—21no—
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—21no—
713C22×D73—42no—
714C22×D73—42no—
715C22×D73—42no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723C22×D73C22×D411yescharacteristic
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—81no—
733D4×C73—81no—
734D4×C73—81no—
735D4×C73—81no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—81no—
745C2×C4×C73—81no—
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C2511yescharacteristic
752C22⋊D73—41no—
753C22⋊D73—41no—
754C22⋊D73—42no—
755C22⋊D73—42no—
756C22⋊D73—42no—
757C22⋊D73—42no—
758C22⋊D73—81no—
759C22⋊D73—81no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—81no—
765C2×Dic73—81no—
766C2×Dic73—81no—
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773D292—21no—
774D292—21no—
775D292—21no—
776D292—21no—
777D292—21no—
778D292—21no—
779D292—21no—
780D292—41no—
781D292—81no—
782D292—81no—
783D292—81no—
784D292—81no—
785D292—81no—
786D292—81no—
787D292—81no—
788D292—81no—
789D292—81no—
790D292—81no—
791D292—81no—
792D292H(5,𝔽2)12yes—
793C4×D73—21no—
794C4×D73—21no—
795C4×D73—21no—
796C4×D73—21no—
797C4×D73—41no—
798C4×D73—41no—
799C4×D73—42no—
800C4×D73—42no—
801C4×D73—81no—
802C4×D73—81no—
803C4×D73—81no—
804C4×D73—81no—
805C4×D73—81no—
806C4×D73—81no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812C4×D73—81no—
813Dic146—21no—
814Dic146—21no—
815Dic146—21no—
816Dic146—21no—
817Dic146—41no—
818Dic146—81no—
819Dic146—81no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73—21no—
823C8×C73—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831—21no—
827#10596831—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—21no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73C23×D411yescharacteristic
838C2×D73—21no—
839C2×D73—21no—
840C2×D73—21no—
841C2×D73—21no—
842C2×D73—21no—
843C2×D73—21no—
844C2×D73—22no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—84no—
857C2×D73—162no—
858C2×D73—162no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—21no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73—41no—
868C4×C73—41no—
869C4×C73—41no—
870C4×C73C2×H(5,𝔽2)11yescharacteristic
871C4×C73#58511yescharacteristic
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—21no—
876Dic73—21no—
877Dic73—21no—
878Dic73—41no—
879Dic73—41no—
880Dic73—41no—
881Dic73—41no—
882#62027—731nomaximal, Sylow
883C2×C73—41no—
884C2×C73—81no—
885C2×C73—81no—
886C2×C73#348811yescharacteristic
887C2×C73#358411yescharacteristic
888C2×C73#358511yescharacteristic
889D73—41no—
890D73—41no—
891D73—42no—
892D73—81no—
893D73—81no—
894D73—81no—
895#3562—731no—
896#3513—731no—
897#3401—731no—
898#3396—731no—
899#3370—731no—
900#3360—731no—
901#3330—731no—
902#3327—731no—
903#3326—731no—
904#3317—731no—
905#3306—731no—
906#3297—731no—
907#3282—731no—
908#3274—731no—
909#3273—731no—
910#3273—731no—
911#3267—731no—
912#3265—731no—
913#3260D7311yescharacteristic, complemented
914#3257—731no—
915#3256—731no—
916#3225—731no—
917#3220—731no—
918#3212—731no—
919#3122—731no—
920#3120—731no—
921#3105—731no—
922#3045—731no—
923#3042—731no—
924#3036—731no—
925#2993—731no—
926C73#6202711yescharacteristic, complemented, Sylow
927C2×AGL(1,ℤ/8)—731no—
928C2×AGL(1,ℤ/8)—731no—
929C2×AGL(1,ℤ/8)—731no—
930C2×AGL(1,ℤ/8)—731no—
931C2×#135—731no—
932C22×SD16—731no—
933#562—1461no—
934#560—1461no—
935#559—731no—
936#559—731no—
937#556—731no—
938#554—731no—
939#553—731no—
940#553—1461no—
941#553—1461no—
942#552—731no—
943#551—1461no—
944#551—1461no—
945#551—1461no—
946#550—731no—
947#548—731no—
948#548—731no—
949#547—731no—
950#547—731no—
951#546—731no—
952#546—731no—
953#546—731no—
954#546—731no—
955#546—1461no—
956D42—731no—
957#542—731no—
958#541C2×D7311yescharacteristic, complemented
959#540—731no—
960#540—1461no—
961#540C2×D7311yescharacteristic
962#539—1461no—
963#539—1461no—
964#538—1461no—
965#538—1461no—
966#538—1461no—
967#536—731no—
968#535—731no—
969#532—731no—
970#529—731no—
971#529—731no—
972#529—731no—
973#525—1461no—
974C2×#123—1461no—
975#520—731no—
976#518—731no—
977C2×C4×D4—731no—
978#497—731no—
979#496—731no—
980#495—731no—
981#495—731no—
982#495—731no—
983#493—731no—
984#490—731no—
985#489—731no—
986#488—731no—
987#488—731no—
988#488—731no—
989#487—731no—
990#484—731no—
991#484—731no—
992#483—731no—
993#482—731no—
994#482—731no—
995#481—731no—
996#479—731no—
997#479—731no—
998#479C2×D7311yescharacteristic, complemented
999#479C2×D7311yescharacteristic, complemented
1000#478—731no—
1001#478—731no—
1002#478C2×D7311yescharacteristic, complemented
1003#478C2×D7311yescharacteristic, complemented
1004#476—731no—
1005#474—731no—
1006#470—731no—
1007#469—731no—
1008#469—731no—
1009#468—731no—
1010#468—731no—
1011#468—731no—
1012#468C2×D7311yescharacteristic, complemented
1013#468C2×D7311yescharacteristic, complemented
1014#466—731no—
1015#465—731no—
1016#465C2×D7311yescharacteristic, complemented
1017#465C2×D7311yescharacteristic, complemented
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#463—731no—
1022#463—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463—731no—
1033#463—731no—
1034#462—731no—
1035#461—731no—
1036#461—731no—
1037#461—731no—
1038#461C2×D7311yescharacteristic, complemented
1039#461C2×D7311yescharacteristic, complemented
1040#460—731no—
1041#460—731no—
1042#460C2×D7311yescharacteristic, complemented
1043#460C2×D7311yescharacteristic, complemented
1044#459—731no—
1045#459—731no—
1046#459—731no—
1047#459—731no—
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#452—731no—
1052#452—731no—
1053#451—731no—
1054#450—731no—
1055#449—731no—
1056#449—731no—
1057#449—731no—
1058#449—731no—
1059#449—731no—
1060#448—731no—
1061#447—731no—
1062#447—731no—
1063#447—731no—
1064#447—731no—
1065#447—731no—
1066#446—731no—
1067C8×Q8—731no—
1068#442—731no—
1069#442—731no—
1070#441—731no—
1071#440—731no—
1072C4×Q16—731no—
1073C4×SD16—731no—
1074C4×SD16—731no—
1075C4×SD16—731no—
1076C4×D8—731no—
1077C4×D8—731no—
1078C4×D8—731no—
1079C4×D8—731no—
1080#436—731no—
1081#436—731no—
1082#436—731no—
1083#435—731no—
1084#435—731no—
1085C8×D4—731no—
1086#433—731no—
1087#433—731no—
1088#431—731no—
1089#424—731no—
1090#424C2×D7311yescharacteristic, complemented
1091#423—731no—
1092#419—731no—
1093#417—731no—
1094#417—731no—
1095#417—731no—
1096#416—731no—
1097C2×#102—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—731no—
1102C2×#41—731no—
1103C2×#41—1461no—
1104C22×Q8—731no—
1105C22×D4—731no—
1106C22×D4—731no—
1107C22×D4—731no—
1108C22×D4—1461no—
1109C23×C4—1461no—
1110AGL(1,ℤ/8)—2922no—
1111AGL(1,ℤ/8)—2922no—
1112AGL(1,ℤ/8)—2922no—
1113AGL(1,ℤ/8)—2922no—
1114#135—2922no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×Q16—731no—
1118C2×SD16—2922no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16C22×D7311yescharacteristic
1128C2×SD16C22×D7311yescharacteristic
1129C2×SD16C22×D7311yescharacteristic
1130C2×SD16C22×D7311yescharacteristic
1131C2×D8—731no—
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8—731no—
1135C2×D8—731no—
1136C2×D8—731no—
1137C2×D8—731no—
1138C2×D8—731no—
1139C2×D8—731no—
1140C2×M16—731no—
1141C2×M16—731no—
1142C2×M16—731no—
1143C2×M16C22×D7311yescharacteristic
1144C22×C8—731no—
1145C22×C8C22×D7311yescharacteristic
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8C22×D7311yescharacteristic
1149#127—731no—
1150#127—731no—
1151#127—1461no—
1152#127C22×D7311yescharacteristic
1153#126—21no—
1154#126—21no—
1155#126—731no—
1156#126—731no—
1157#126—1461no—
1158#126—1461no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#125—21no—
1165#125—21no—
1166#125—731no—
1167#125—731no—
1168#125—1461no—
1169#125C22×D7311yescharacteristic
1170#125C22×D7311yescharacteristic
1171#124—731no—
1172#124—731no—
1173#124—731no—
1174#124—731no—
1175#124—731no—
1176#124—731no—
1177#124—731no—
1178#124—731no—
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124—1461no—
1183#124—1461no—
1184#123—21no—
1185#123—21no—
1186#123—731no—
1187#123—731no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205#123—1461no—
1206#123—1461no—
1207#123—1461no—
1208#123—1461no—
1209C22⋊Q8—731no—
1210C22⋊Q8—731no—
1211C22⋊Q8—731no—
1212C22⋊Q8—731no—
1213C22⋊Q8—1461no—
1214C22⋊Q8—1461no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219C22⋊Q8—1461no—
1220C22⋊Q8—1461no—
1221C22⋊Q8—1461no—
1222C22⋊Q8—1461no—
1223C22⋊Q8C22×D7311yescharacteristic
1224C22⋊Q8C22×D7311yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—731no—
1228#121—731no—
1229#121—731no—
1230#121—731no—
1231#121—731no—
1232#121—731no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#121C22×D7311yescharacteristic
1251#121C22×D7311yescharacteristic
1252#120—1461no—
1253#120—1461no—
1254#120—1461no—
1255#120—1461no—
1256#120—1461no—
1257#120—1461no—
1258#120—1461no—
1259#120—1461no—
1260C4×Q8—731no—
1261C4×Q8—731no—
1262C4×Q8—731no—
1263C4×Q8—731no—
1264C4×Q8C22×D7311yescharacteristic
1265C4×Q8C22×D7311yescharacteristic
1266C4×D4—731no—
1267C4×D4—731no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—731no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4C22×D7311yescharacteristic
1295C4×D4C22×D7311yescharacteristic
1296#117—731no—
1297#117—731no—
1298#117—1461no—
1299#117—1461no—
1300#117—1461no—
1301#117—1461no—
1302#117—1461no—
1303#117C22×D7311yescharacteristic
1304C2×C4⋊C4—731no—
1305C2×C4⋊C4—731no—
1306C2×C4⋊C4—1461no—
1307C2×C4⋊C4—1461no—
1308C2×C4⋊C4—1461no—
1309C2×C22⋊C4—1461no—
1310C2×C22⋊C4—1461no—
1311C2×C22⋊C4—1461no—
1312C2×C22⋊C4—1461no—
1313C2×C22⋊C4—1461no—
1314C2×C22⋊C4—1461no—
1315C2×C22⋊C4—1461no—
1316C2×C42—731no—
1317#107—731no—
1318#107—731no—
1319#107C22×D7311yescharacteristic
1320#107C22×D7311yescharacteristic
1321#106—731no—
1322#106—731no—
1323#106C22×D7311yescharacteristic
1324#106C22×D7311yescharacteristic
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8C22×D7311yescharacteristic
1332C4⋊C8C22×D7311yescharacteristic
1333C4⋊C8C22×D7311yescharacteristic
1334C4⋊C8C22×D7311yescharacteristic
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103—731no—
1344#103—731no—
1345#103C22×D7311yescharacteristic
1346#103C22×D7311yescharacteristic
1347#103C22×D7311yescharacteristic
1348#103C22×D7311yescharacteristic
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102—731no—
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365#102C22×D7311yescharacteristic
1366#102C22×D7311yescharacteristic
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8—731no—
1371C22⋊C8—731no—
1372C22⋊C8—731no—
1373#97—731no—
1374#97—731no—
1375C4×C8—731no—
1376C4×C8—731no—
1377C4×C8—731no—
1378C4×C8—731no—
1379C24—1461no—
1380C24—1461no—
1381C24—1461no—
1382#41—2921no—
1383#41—2921no—
1384#41—2921no—
1385#41—2921no—
1386#41—2921no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—5842no—
1392#41—1462no—
1393C2×Q8—2921no—
1394C2×Q8—2921no—
1395C2×Q8—731no—
1396C2×Q8—731no—
1397C2×Q8—731no—
1398C2×Q8—1461no—
1399C2×Q8—1461no—
1400C2×Q8C23×D7311yescharacteristic
1401C2×Q8C23×D7311yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—2921no—
1407C2×D4—2921no—
1408C2×D4—2921no—
1409C2×D4—2921no—
1410C2×D4—5842no—
1411C2×D4—731no—
1412C2×D4—731no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—731no—
1417C2×D4—731no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1462no—
1427C2×D4—1462no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4C23×D7311yescharacteristic
1438C2×D4C23×D7311yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—5842no—
1442C22×C4—731no—
1443C22×C4—731no—
1444C22×C4—731no—
1445C22×C4—731no—
1446C22×C4—1461no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4—1461no—
1450C22×C4—1461no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4C23×D7311yescharacteristic
1464Q16—2921no—
1465Q16—2921no—
1466Q16—2921no—
1467SD16—41no—
1468SD16—41no—
1469SD16—41no—
1470SD16—41no—
1471SD16—2921no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—1462no—
1477SD16—1462no—
1478SD16—1462no—
1479D8—2921no—
1480D8—2921no—
1481D8—2921no—
1482D8—2921no—
1483D8—2921no—
1484D8—2921no—
1485D8—1462no—
1486D8—1462no—
1487D8—1462no—
1488M16—41no—
1489M16—2921no—
1490M16—2921no—
1491M16—2921no—
1492C2×C8—41no—
1493C2×C8—2921no—
1494C2×C8—731no—
1495C2×C8—731no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8C23×D7311yescharacteristic
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—731no—
1518C4⋊C4—731no—
1519C4⋊C4—731no—
1520C4⋊C4—731no—
1521C4⋊C4—731no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4D4×D7311yescharacteristic
1536C4⋊C4D4×D7311yescharacteristic
1537C4⋊C4C23×D7311yescharacteristic
1538C4⋊C4C23×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—731no—
1548C22⋊C4—731no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4—1461no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4D4×D7311yescharacteristic
1588C22⋊C4D4×D7311yescharacteristic
1589C42—21no—
1590C42—21no—
1591C42—731no—
1592C42—731no—
1593C42—731no—
1594C42—731no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42C23×D7311yescharacteristic
1600C42C23×D7311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—2922no—
1604C23—2922no—
1605C23—2922no—
1606C23—5841no—
1607C23—5841no—
1608C23—5841no—
1609C23—5841no—
1610C23—5841no—
1611C23—5841no—
1612C23—731no—
1613C23—731no—
1614C23—1461no—
1615C23—1461no—
1616C23—1461no—
1617C23—1461no—
1618C23C2×D4×D7311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—2921no—
1624Q8—5841no—
1625Q8—5841no—
1626Q8—1461no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—2921no—
1639D4—2922no—
1640D4—2922no—
1641D4—2921no—
1642D4—2921no—
1643D4—2922no—
1644D4—2922no—
1645D4—5841no—
1646D4—5841no—
1647D4—5841no—
1648D4—5841no—
1649D4—5841no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—732no—
1659D4—1461no—
1660D4—1461no—
1661D4—1461no—
1662D4—1461no—
1663D4—1461no—
1664D4—1461no—
1665D4—1461no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—2922no—
1677C2×C4—2921no—
1678C2×C4—2921no—
1679C2×C4—2922no—
1680C2×C4—5841no—
1681C2×C4—5841no—
1682C2×C4—5841no—
1683C2×C4—5841no—
1684C2×C4—5841no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—5841no—
1694C2×C4—5841no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—731no—
1700C2×C4—731no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4C2×D4×D7311yescharacteristic
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—2921no—
1733C22—2921no—
1734C22—2921no—
1735C22—2921no—
1736C22—2921no—
1737C22—2921no—
1738C22—2921no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—5844no—
1744C22—11682no—
1745C22—11682no—
1746C22—1462no—
1747C22—1461no—
1748C22—1461no—
1749C22—1461no—
1750C22—1461no—
1751C22—1461no—
1752C22—1461no—
1753C22C22×D4×D7311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—2921no—
1766C4—2921no—
1767C4—2921no—
1768C4—2921no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4—1461no—
1774C4—1461no—
1775C4H(5,𝔽2)×D7311yescharacteristic
1776C4#1798942411yescharacteristic
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—2922no—
1781C2—2921no—
1782C2—2921no—
1783C2—5841no—
1784C2—5841no—
1785C2—5841no—
1786C2#2262359511yescharacteristic
1787C2#2262470311yescharacteristic
1788C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3260C2
socleC22×C73C23×D4
hypercenter#3260D73
hypocenterC73#62027
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3260

Complements

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

NH ≅ G/Ntype
1. #22624525C2semidirect
2. #22623869C2semidirect
3. #22622990C2semidirect
4. #22622942C2semidirect
5. #22622687C2semidirect
6. #22622583C2semidirect
7. #22622231C2semidirect
8. #22622196C2semidirect
9. #22622179C2semidirect
10. #22622054C2semidirect
11. #22621898C2semidirect
12. #22621787C2semidirect
13. #22621645C2semidirect
14. #22621546C2semidirect
15. #22621539C2semidirect
16. #22621539C2semidirect
17. #22621453C2semidirect
18. #22621421C2semidirect
19. #22621346C2semidirect
20. #22621331C2semidirect
21. #22621039C2semidirect
22. #22620975C2semidirect
23. #22620906C2semidirect
24. #22620176C2semidirect
25. #22620139C2semidirect
26. #22619983C2semidirect
27. #22619472C2semidirect
28. #22619438C2semidirect
29. #22619396C2semidirect
30. #22619078C2semidirect
31. C73×#3260C2semidirect
35. C2×#14556618C22semidirect
37. C2×SD16×D73C22semidirect
40. #17989323C22semidirect
41. #17989322C22semidirect
42. #17989309C22semidirect
43. #17989293C22semidirect
47. #17989275C22semidirect
53. #17989247C22semidirect
54. #17989239C22semidirect
58. #17989228C22semidirect
59. #17989228C22semidirect
61. #17989222C22semidirect
62. #17989202C22semidirect
64. #17989193C22semidirect
70. #17989162C22semidirect
71. #17989156C22semidirect
72. #17989138C22semidirect
73. #17989122C22semidirect
74. #17989119C22semidirect
79. #17989059C22semidirect
80. C4×D4×D73C22semidirect
81. #17988978C22semidirect
83. #17988968C22semidirect
84. #17988968C22semidirect
85. #17988968C22semidirect
87. #17988953C22semidirect
88. #17988948C22semidirect
89. #17988944C22semidirect
90. #17988943C22semidirect
91. #17988943C22semidirect
92. #17988936C22semidirect
93. #17988924C22semidirect
94. #17988920C22semidirect
95. #17988915C22semidirect
96. #17988914C22semidirect
97. #17988913C22semidirect
98. #17988907C22semidirect
99. #17988893C22semidirect
100. #17988891C22semidirect
101. #17988886C22semidirect
102. #17988884C22semidirect
103. #17988876C22semidirect
104. #17988866C22semidirect
105. #17988846C22semidirect
107. #17988839C22semidirect
108. #17988834C22semidirect
109. #17988834C22semidirect
110. #17988832C22semidirect
112. #17988817C22semidirect
113. #17988810C22semidirect
114. #17988810C22semidirect
115. #17988808C22semidirect
118. #17988805C22semidirect
119. #17988804C22semidirect
120. #17988804C22semidirect
121. #17988804C22semidirect
124. #17988802C22semidirect
125. #17988802C22semidirect
126. #17988801C22semidirect
127. #17988801C22semidirect
128. #17988801C22semidirect
129. #17988794C22semidirect
130. #17988791C22semidirect
131. #17988790C22semidirect
132. #17988789C22semidirect
133. #17988788C22semidirect
134. #17988788C22semidirect
137. #17988782C22semidirect
138. #17988782C22semidirect
139. #17988752C22semidirect
140. #17988752C22semidirect
141. #17988752C22semidirect
144. #17988744C22semidirect
145. #17988739C22semidirect
148. #17988731C22semidirect
149. #17988730C22semidirect
150. #17988730C22semidirect
151. #17988724C22semidirect
154. #17988722C22semidirect
155. #17988720C22semidirect
156. #17988720C22semidirect
157. #17988716C22semidirect
158. #17988711C22semidirect
159. #17988698C22semidirect
160. #17988696C22semidirect
161. #17988692C22semidirect
162. #17988685C22semidirect
163. C4×#11924018C22semidirect
164. #17988678C22semidirect
165. C4×#11924015C22semidirect
166. #17988674C22semidirect
169. #17988667C22semidirect
170. #17988667C22semidirect
171. #17988664C22semidirect
172. #17988663C22semidirect
173. #17988663C22semidirect
174. #17988658C22semidirect
175. #17988657C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988648C22semidirect
178. #17988647C22semidirect
179. #17988639C22semidirect
180. #17988612C22semidirect
181. #17988609C22semidirect
182. #17988594C22semidirect
183. #17988589C22semidirect
184. #17988587C22semidirect
185. #17988587C22semidirect
186. #17988582C22semidirect
187. C2×#14556513C22semidirect
188. #541×C73C22semidirect
190. #479×C73C22semidirect
191. #479×C73C22semidirect
192. #478×C73C22semidirect
193. #478×C73C22semidirect
194. #468×C73C22semidirect
195. #468×C73C22semidirect
196. #465×C73C22semidirect
197. #465×C73C22semidirect
198. #461×C73C22semidirect
199. #461×C73C22semidirect
200. #460×C73C22semidirect
201. #460×C73C22semidirect
202. #424×C73C22semidirect
913. #3260D73semidirect
926. C73#62027semidirect
958. #541C2×D73semidirect
998. #479C2×D73semidirect
999. #479C2×D73semidirect
1002. #478C2×D73semidirect
1003. #478C2×D73semidirect
1012. #468C2×D73semidirect
1013. #468C2×D73semidirect
1016. #465C2×D73semidirect
1017. #465C2×D73semidirect
1038. #461C2×D73semidirect
1039. #461C2×D73semidirect
1042. #460C2×D73semidirect
1043. #460C2×D73semidirect
1090. #424C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245252
#226238692
#226229902
#226229422
#226226872
#226225832
#226222312
#226221962
#226221792
#226220542
#226218982
#226217872
#226216452
#226215462
#226215392
#226214532
#226214212
#226213462
#226213312
#226210392
#226209752
#226209062
#226201762
#226201392
#226199832
#226194722
#226194382
#226193962
#226190782
C73×#32602
#6202773