Finite Group Databasebeta

← #33967978

Subgroups — #33967978

Order 18688.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623541C211yesmaximal, characteristic, complemented
2#22623493C211yesmaximal, characteristic, complemented
3#22622998C211yesmaximal, characteristic, complemented
4#22622890C211yesmaximal, characteristic, complemented
5#22622763C211yesmaximal, characteristic, complemented
6#22622685C211yesmaximal, characteristic, complemented
7#22622427C211yesmaximal, characteristic, complemented
8#22622391C211yesmaximal, characteristic, complemented
9#22622311C211yesmaximal, characteristic, complemented
10#22622083C211yesmaximal, characteristic, complemented
11#22622017C211yesmaximal, characteristic, complemented
12#22621957C211yesmaximal, characteristic, complemented
13#22621903C211yesmaximal, characteristic, complemented
14#22621782C211yesmaximal, characteristic, complemented
15#22621767C211yesmaximal, characteristic, complemented
16#22621610C211yesmaximal, characteristic, complemented
17#22621456C211yesmaximal, characteristic, complemented
18#22621413C211yesmaximal, characteristic, complemented
19#22620663C211yesmaximal, characteristic, complemented
20#22620638C211yesmaximal, characteristic, complemented
21#22620629C211yesmaximal, characteristic, complemented
22#22620082C211yesmaximal, characteristic, complemented
23#22620073C211yesmaximal, characteristic, complemented
24#22620073C211yesmaximal, characteristic, complemented
25#22620044C211yesmaximal, characteristic, complemented
26#22620040C211yesmaximal, characteristic, complemented
27#22620028C211yesmaximal, characteristic, complemented
28#22618942C211yesmaximal, characteristic, complemented
29#22618742C211yesmaximal, characteristic, complemented
30#442×D73C211yesmaximal, characteristic, complemented
31C73×#2943C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic
33C2×D8×D73C2211yescharacteristic
34#17989322C2211yescharacteristic, complemented
35#17989309C2211yescharacteristic, complemented
36#17989300C2211yescharacteristic, complemented
37#17989297C2211yescharacteristic
38#17989296C2211yescharacteristic, complemented
39#17989294C2211yescharacteristic, complemented
40#17989286—21no—
41#17989283—21no—
42#17989281C2211yescharacteristic
43#17989281C2211yescharacteristic, complemented
44#17989278C2211yescharacteristic
45#17989276C2211yescharacteristic, complemented
46#17989270—21no—
47#17989266—21no—
48#17989261—21no—
49#17989261—21no—
50#17989261—21no—
51#17989236C2211yescharacteristic, complemented
52#17989233—21no—
53#17989232C2211yescharacteristic
54#17989225C2211yescharacteristic
55#17989225C2211yescharacteristic, complemented
56#17989225C2211yescharacteristic, complemented
57D4×D292C2211yescharacteristic
58#17989141C2211yescharacteristic, complemented
59#17989137C2211yescharacteristic, complemented
60#17989124C2211yescharacteristic
61#17989124C2211yescharacteristic, complemented
62#17989124C2211yescharacteristic, complemented
63#17989121—21no—
64#17989121—21no—
65#17989121C2211yescharacteristic, complemented
66#17989117—21no—
67#17989096—21no—
68#17989096—21no—
69#17989096—21no—
70C4×#11924028C2211yescharacteristic
71C4×#11924027C2211yescharacteristic, complemented
72C2×C4×D292—21no—
73C4×D4×D73C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic, complemented
75C4×D4×D73C2211yescharacteristic, complemented
76C2×#14556548—21no—
77#17988996C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988987C2211yescharacteristic, complemented
80#17988980C2211yescharacteristic, complemented
81#17988976C2211yescharacteristic
82#17988972C2211yescharacteristic, complemented
83#17988954C2211yescharacteristic, complemented
84#17988952C2211yescharacteristic, complemented
85#17988948C2211yescharacteristic, complemented
86#17988947C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic, complemented
88#17988943C2211yescharacteristic, complemented
89#17988928C2211yescharacteristic, complemented
90#17988927C2211yescharacteristic, complemented
91#17988924C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic, complemented
93#17988916C2211yescharacteristic, complemented
94#17988916C2211yescharacteristic, complemented
95#17988914C2211yescharacteristic, complemented
96#17988911C2211yescharacteristic, complemented
97#17988911C2211yescharacteristic, complemented
98#17988911C2211yescharacteristic, complemented
99#17988902C2211yescharacteristic
100#17988902C2211yescharacteristic, complemented
101#17988894C2211yescharacteristic, complemented
102#17988893C2211yescharacteristic, complemented
103#17988890C2211yescharacteristic, complemented
104#17988890C2211yescharacteristic, complemented
105#17988889C2211yescharacteristic, complemented
106#17988889C2211yescharacteristic, complemented
107#17988887C2211yescharacteristic, complemented
108#17988885C2211yescharacteristic, complemented
109#17988872C2211yescharacteristic, complemented
110#17988867C2211yescharacteristic, complemented
111#17988866C2211yescharacteristic, complemented
112#17988865C2211yescharacteristic, complemented
113#17988842C2211yescharacteristic, complemented
114#17988841C2211yescharacteristic
115#17988836C2211yescharacteristic, complemented
116#17988836C2211yescharacteristic, complemented
117#17988827C2211yescharacteristic, complemented
118#17988825C2211yescharacteristic, complemented
119#17988823C2211yescharacteristic, complemented
120#17988823C2211yescharacteristic, complemented
121#17988819C2211yescharacteristic
122#17988817C2211yescharacteristic
123#17988816C2211yescharacteristic, complemented
124#17988816C2211yescharacteristic, complemented
125#17988812C2211yescharacteristic, complemented
126#17988809C2211yescharacteristic, complemented
127#17988805C2211yescharacteristic, complemented
128#17988805C2211yescharacteristic, complemented
129#17988804C2211yescharacteristic
130#17988804C2211yescharacteristic, complemented
131#17988804C2211yescharacteristic, complemented
132#17988802C2211yescharacteristic
133#17988791C2211yescharacteristic, complemented
134#17988790C2211yescharacteristic, complemented
135#17988787C2211yescharacteristic, complemented
136#17988782C2211yescharacteristic
137#17988749C2211yescharacteristic, complemented
138#17988746C2211yescharacteristic, complemented
139#17988739C2211yescharacteristic
140#17988736C2211yescharacteristic
141#17988736C2211yescharacteristic, complemented
142#17988736C2211yescharacteristic, complemented
143#17988733C2211yescharacteristic
144#17988732C2211yescharacteristic
145#17988732C2211yescharacteristic, complemented
146#17988732C2211yescharacteristic, complemented
147#17988722C2211yescharacteristic
148#17988722C2211yescharacteristic
149#17988715C2211yescharacteristic, complemented
150#17988715C2211yescharacteristic, complemented
151#17988700C2211yescharacteristic, complemented
152#17988700C2211yescharacteristic, complemented
153#17988699C2211yescharacteristic
154#17988698C2211yescharacteristic, complemented
155#17988697C2211yescharacteristic
156#17988697C2211yescharacteristic, complemented
157#17988697C2211yescharacteristic, complemented
158#17988696C2211yescharacteristic
159#17988696C2211yescharacteristic, complemented
160#17988692C2211yescharacteristic, complemented
161#17988689C2211yescharacteristic, complemented
162#17988689C2211yescharacteristic, complemented
163#17988687C2211yescharacteristic, complemented
164#17988685C2211yescharacteristic, complemented
165#17988685C2211yescharacteristic, complemented
166#17988685C2211yescharacteristic, complemented
167#17988678C2211yescharacteristic, complemented
168#17988674C2211yescharacteristic, complemented
169D8×Dic73C2211yescharacteristic
170#17988667C2211yescharacteristic, complemented
171#17988660C2211yescharacteristic
172#17988660C2211yescharacteristic
173#17988658C2211yescharacteristic, complemented
174#17988658C2211yescharacteristic, complemented
175C8×C22⋊D73C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988644C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic, complemented
179#17988642C2211yescharacteristic, complemented
180#17988626C2211yescharacteristic, complemented
181#106×D73C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic, complemented
183#17988585C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic
185#102×D73C2211yescharacteristic, complemented
186#17988539C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188C2×#135×C73C2211yescharacteristic
189C4×#41×C73C2211yescharacteristic, complemented
190C4×#41×C73C2211yescharacteristic, complemented
191#442×C73C2211yescharacteristic
192#442×C73C2211yescharacteristic
193#441×C73C2211yescharacteristic, complemented
194#441×C73C2211yescharacteristic, complemented
195#440×C73C2211yescharacteristic, complemented
196#440×C73C2211yescharacteristic, complemented
197#440×C73C2211yescharacteristic, complemented
198#440×C73C2211yescharacteristic, complemented
199#427×C73C2211yescharacteristic, complemented
200#416×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic, complemented
202C2×#97×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028D411yescharacteristic
205C2×#11924027C2311yescharacteristic
206C22×D292—21no—
207C2×D4×D73C2311yescharacteristic
208C2×D4×D73C2311yescharacteristic
209C2×D4×D73C2311yescharacteristic
210C22×C4×D73—21no—
211C22×C4×D73—21no—
212C22×C4×D73—21no—
213#14556615—24no—
214C2×#11924018C2311yescharacteristic
215C2×#11924017C2311yescharacteristic
216C2×#11924017C2311yescharacteristic
217C2×#11924016C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×D584C2311yescharacteristic
222C2×D584C2311yescharacteristic
223C2×#11924013C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226D8×D73—24no—
227C2×#11924011C2311yescharacteristic
228C2×#11924011C2311yescharacteristic
229C2×C8×D73C2311yescharacteristic
230C2×C8×D73C2311yescharacteristic
231#14556591C2311yescharacteristic
232#14556590C2311yescharacteristic
233#14556589C2311yescharacteristic
234#14556588C2311yescharacteristic
235#14556586—21no—
236#14556586—21no—
237#14556586—21no—
238#14556586—21no—
239#14556585—21no—
240#14556585—21no—
241#14556585—21no—
242#14556585—21no—
243#14556585—21no—
244#14556584—21no—
245#14556583—21no—
246#14556583—21no—
247#14556583C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556581—21no—
252#14556581—21no—
253#14556580C2311yescharacteristic
254#14556580C2311yescharacteristic
255#14556580C2311yescharacteristic
256#14556579—21no—
257#14556579—21no—
258#14556579—21no—
259#14556579C2311yescharacteristic
260#14556577—21no—
261#14556576—21no—
262#14556576—21no—
263#14556576—21no—
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556575—21no—
268#14556574—21no—
269#14556574—21no—
270#14556574—21no—
271#14556574—21no—
272#14556574—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556572—21no—
277#14556571C2311yescharacteristic
278#14556570—21no—
279#14556570—21no—
280#14556570C2311yescharacteristic
281#14556569—21no—
282#14556569—21no—
283#14556569—21no—
284#14556569—21no—
285#14556568—21no—
286#14556568—21no—
287#14556568—21no—
288#14556568—21no—
289#14556567C2311yescharacteristic
290#14556567C2311yescharacteristic
291#14556567C2311yescharacteristic
292#14556567C2311yescharacteristic
293#14556566C2311yescharacteristic
294#14556566C2311yescharacteristic
295#14556566C2311yescharacteristic
296#14556565—21no—
297#14556565—21no—
298#14556565—21no—
299#14556565C2311yescharacteristic
300#14556565C2311yescharacteristic
301#14556565C2311yescharacteristic
302#14556564—21no—
303#14556564—21no—
304#14556564—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556561—21no—
310#14556561—21no—
311#14556561—21no—
312#14556559—21no—
313#14556559—21no—
314#14556559—21no—
315C4×Dic146—21no—
316C4×Dic146D411yescharacteristic
317C4×Dic146C2311yescharacteristic
318C4×Dic146C2311yescharacteristic
319#14556556C2311yescharacteristic
320C4×D292—21no—
321C4×D292—21no—
322C4×D292—21no—
323C4×D292—21no—
324C4×D292—21no—
325C4×D292—21no—
326C4×D292—21no—
327C4×D292—21no—
328C4×D292D411yescharacteristic
329C4×D292C2311yescharacteristic
330C4×D292C2311yescharacteristic
331C4×D292C2311yescharacteristic
332C4×D292C2311yescharacteristic
333D4×Dic73C2311yescharacteristic
334D4×Dic73C2311yescharacteristic
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337#14556553C2311yescharacteristic
338#14556553C2311yescharacteristic
339#14556553C2311yescharacteristic
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73D411yescharacteristic
346C4×C22⋊D73D411yescharacteristic
347C4×C22⋊D73C2311yescharacteristic
348C4×C22⋊D73C2311yescharacteristic
349#14556551—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556550D411yescharacteristic
354#14556549C2311yescharacteristic
355#14556548—21no—
356#14556548—21no—
357#14556548—21no—
358#14556548—21no—
359#14556548—21no—
360#14556548—21no—
361#14556548—21no—
362#14556548—21no—
363#14556548—21no—
364#14556548D411yescharacteristic
365#14556548D411yescharacteristic
366#14556547—21no—
367C2×C4⋊Dic73—21no—
368C2×#11924007—21no—
369C2×#11924007—21no—
370C4⋊C4×D73C2311yescharacteristic
371C4⋊C4×D73C2311yescharacteristic
372C4⋊C4×D73C2311yescharacteristic
373C2×#11924005—21no—
374C2×#11924005—21no—
375C2×#11924005—21no—
376C2×#11924005—21no—
377C22⋊C4×D73—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C2×C4×Dic73—21no—
381C42×D73C2311yescharacteristic
382C42×D73C2311yescharacteristic
383#14556525C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C2×#41×C73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439#135×C73—24no—
440C2×Q16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445C22×C8×C73C2311yescharacteristic
446C4×Q8×C73C2311yescharacteristic
447C4×Q8×C73C2311yescharacteristic
448C4×Q8×C73C2311yescharacteristic
449C4×Q8×C73C2311yescharacteristic
450C4×D4×C73—21no—
451C4×D4×C73—21no—
452C4×D4×C73—21no—
453C4×D4×C73—21no—
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73—21no—
459#117×C73—21no—
460#117×C73C2311yescharacteristic
461#117×C73C2311yescharacteristic
462C2×C42×C73—21no—
463C2×C42×C73—21no—
464C2×C42×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483C23×D73—21no—
484#11924028—42no—
485#11924028—82no—
486#11924027—22no—
487#11924027—41no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146C2×D411yescharacteristic
491C2×Dic146C2411yescharacteristic
492C2×D292—21no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—44no—
498C2×D292C2×D411yescharacteristic
499C2×D292C2411yescharacteristic
500C2×D292C2411yescharacteristic
501C2×D292C2411yescharacteristic
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73C2×D411yescharacteristic
510C2×C22⋊D73C2×D411yescharacteristic
511D4×D73—22no—
512D4×D73—22no—
513D4×D73—22no—
514D4×D73—41no—
515D4×D73—41no—
516D4×D73—41no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—44no—
532C2×C4×D73—82no—
533C2×C4×D73—82no—
534C2×C4×D73C2×D411yescharacteristic
535C2×C4×D73C2×D411yescharacteristic
536C2×C4×D73C2×D411yescharacteristic
537C2×C4×D73C2×D411yescharacteristic
538C2×C4×D73C2411yescharacteristic
539C2×C4×D73C2411yescharacteristic
540#11924018—41no—
541#11924017—22no—
542#11924017—41no—
543#11924016—22no—
544#11924015—41no—
545#11924015—41no—
546#11924015—41no—
547D584—22no—
548D584—41no—
549#11924013—22no—
550#11924013—22no—
551#11924013—22no—
552#11924011—22no—
553#11924011—41no—
554C2×#10596831C2411yescharacteristic
555C2×#10596831C2411yescharacteristic
556C2×#10596831C2411yescharacteristic
557C2×#10596831C2411yescharacteristic
558C8×D73—22no—
559C8×D73—41no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73C2×D411yescharacteristic
566C4⋊Dic73C2×D411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570C4⋊Dic73C2411yescharacteristic
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73C2×D411yescharacteristic
599C22⋊Dic73C2×D411yescharacteristic
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73C2×D411yescharacteristic
634C4×Dic73C2×D411yescharacteristic
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2411yescharacteristic
638C4×Dic73C2411yescharacteristic
639#41×C73—22no—
640#41×C73—22no—
641#41×C73—41no—
642#41×C73—41no—
643C2×Q8×C73C2411yescharacteristic
644C2×Q8×C73C2411yescharacteristic
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73C2411yescharacteristic
648C2×D4×C73C2411yescharacteristic
649C22×C4×C73—21no—
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73C2×D411yescharacteristic
656C22×C4×C73C2×D411yescharacteristic
657C22×C4×C73C2411yescharacteristic
658Q16×C73—22no—
659SD16×C73—22no—
660SD16×C73—22no—
661D8×C73#4114yescomplemented
662C2×C8×C73—22no—
663C2×C8×C73—41no—
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C42×C73—21no—
683C42×C73—21no—
684C42×C73—21no—
685C42×C73—21no—
686C42×C73—21no—
687C42×C73—21no—
688C42×C73C2×D411yescharacteristic
689C42×C73C2×D411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73C22×D411yescharacteristic
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—42no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—81no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73C22×D411yescharacteristic
708C22×D73C22×D411yescharacteristic
709Q8×C73—21no—
710Q8×C73—21no—
711Q8×C73—21no—
712Q8×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—42no—
716D4×C73—42no—
717D4×C73C2×#4112yes—
718D4×C73C2×#4112yes—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—41no—
728C2×C4×C73—41no—
729C2×C4×C73—42no—
730C2×C4×C73—42no—
731C2×C4×C73—42no—
732C2×C4×C73—42no—
733C2×C4×C73—42no—
734C2×C4×C73—81no—
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C2511yescharacteristic
741C22⋊D73—22no—
742C22⋊D73—41no—
743C22⋊D73—42no—
744C22⋊D73—42no—
745C22⋊D73—42no—
746C22⋊D73—42no—
747C22⋊D73—81no—
748C22⋊D73—81no—
749C22⋊D73—81no—
750C2×Dic73—21no—
751C2×Dic73—21no—
752C2×Dic73—21no—
753C2×Dic73—21no—
754C2×Dic73—21no—
755C2×Dic73—42no—
756C2×Dic73—42no—
757C2×Dic73—81no—
758C2×Dic73—81no—
759C2×Dic73—81no—
760C2×Dic73C22×D411yescharacteristic
761C2×Dic73C22×D411yescharacteristic
762C2×Dic73C22×D411yescharacteristic
763C2×Dic73C22×D411yescharacteristic
764C2×Dic73C22×D411yescharacteristic
765C2×Dic73C22×D411yescharacteristic
766D292—22no—
767D292—21no—
768D292—21no—
769D292—21no—
770D292—21no—
771D292—21no—
772D292—21no—
773D292—42no—
774D292—42no—
775D292—42no—
776D292—81no—
777D292—81no—
778C4×D73—22no—
779C4×D73—21no—
780C4×D73—21no—
781C4×D73—21no—
782C4×D73—21no—
783C4×D73—41no—
784C4×D73—41no—
785C4×D73—41no—
786C4×D73—42no—
787C4×D73—42no—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—42no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794C4×D73—81no—
795Dic146—21no—
796Dic146—21no—
797Dic146—41no—
798Dic146—81no—
799Dic146—81no—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73C2×#4112yes—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831—21no—
808C22×C73—21no—
809C22×C73—22no—
810C22×C73—22no—
811C22×C73—21no—
812C22×C73—21no—
813C22×C73—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73C23×D411yescharacteristic
818C2×D73—21no—
819C2×D73—21no—
820C2×D73—21no—
821C2×D73—21no—
822C2×D73—21no—
823C2×D73—41no—
824C2×D73—41no—
825C2×D73—41no—
826C2×D73—41no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—84no—
833C2×D73—84no—
834C2×D73—84no—
835C2×D73#57512yes—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—21no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73—41no—
846C4×C73—41no—
847C4×C73C22×#4111yescharacteristic
848C4×C73#58511yescharacteristic
849Dic73—21no—
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—21no—
854Dic73—21no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859Dic73—41no—
860#61454—731nomaximal, Sylow
861C2×C73—42no—
862C2×C73—42no—
863C2×C73—41no—
864C2×C73D4×#4111yescharacteristic
865C2×C73C2×#57511yescharacteristic
866C2×C73#358511yescharacteristic
867D73—22no—
868D73—41no—
869D73—81no—
870D73—81no—
871D73—81no—
872#3481—731no—
873#3475—731no—
874#3401—731no—
875#3389—731no—
876#3376—731no—
877#3370—731no—
878#3347—731no—
879#3344—731no—
880#3337—731no—
881#3319—731no—
882#3314—731no—
883#3310—731no—
884#3307—731no—
885#3297—731no—
886#3296—731no—
887#3280—731no—
888#3267—731no—
889#3264—731no—
890#3183—731no—
891#3181—731no—
892#3180—731no—
893#3115—731no—
894#3114—731no—
895#3114—731no—
896#3111—731no—
897#3111—731no—
898#3110—731no—
899#2970—731no—
900C4×AGL(1,ℤ/8)—731no—
901#2943D7311yescharacteristic, complemented
902C2×#442—731no—
903C73#6145411yescharacteristic, complemented, Sylow
904C2×AGL(1,ℤ/8)—731no—
905C2×#135C2×D7311yescharacteristic
906C22×D8—731no—
907#559—731no—
908#556—731no—
909#555—731no—
910#554—731no—
911#554—731no—
912#554—731no—
913#553—731no—
914#553—731no—
915#553—1461no—
916#553—1461no—
917#552—731no—
918#552—731no—
919#552—1461no—
920#551—1461no—
921#551—1461no—
922#551—1461no—
923#551—1461no—
924#547—731no—
925#546—731no—
926#546—731no—
927#546—731no—
928#546—731no—
929#546—1461no—
930D42—731no—
931#533—731no—
932#532—731no—
933#529—731no—
934#529—731no—
935#529—731no—
936#529—731no—
937#529—1461no—
938#529—1461no—
939#529—1461no—
940#525—1461no—
941#525—1461no—
942#525—1461no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41C2×D7311yescharacteristic, complemented
946C4×#41C2×D7311yescharacteristic, complemented
947C2×C4×D4—731no—
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—1461no—
951C2×#117—1461no—
952#501—731no—
953#501—731no—
954#499—731no—
955#497—731no—
956#496—731no—
957#495—731no—
958#491—731no—
959#490—731no—
960#489—731no—
961#489—731no—
962#488—731no—
963#488—731no—
964#485—731no—
965#485—731no—
966#484—731no—
967#484—731no—
968#483—731no—
969#483—731no—
970#482—731no—
971#482—731no—
972#482—731no—
973#482—731no—
974#480—731no—
975#480—731no—
976#479—731no—
977#479—731no—
978#478—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#478—731no—
984#475—731no—
985#474—731no—
986#474—731no—
987#474—731no—
988#470—731no—
989#469—731no—
990#468—731no—
991#468—731no—
992#467—731no—
993#467—731no—
994#466—731no—
995#466—731no—
996#465—731no—
997#465—731no—
998#465—731no—
999#465—731no—
1000#464—731no—
1001#464—731no—
1002#463—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#463—731no—
1008#461—731no—
1009#461—731no—
1010#460—731no—
1011#459—731no—
1012#452—731no—
1013#452—731no—
1014#450—731no—
1015#450—731no—
1016#450—731no—
1017#450—731no—
1018#449—731no—
1019#449—731no—
1020#449—731no—
1021#449—731no—
1022#447—731no—
1023#447—731no—
1024#446—731no—
1025#446—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442—731no—
1032#442—731no—
1033#442—731no—
1034#442—731no—
1035#442C2×D7311yescharacteristic
1036#442C2×D7311yescharacteristic
1037#441—731no—
1038#441C2×D7311yescharacteristic, complemented
1039#441C2×D7311yescharacteristic, complemented
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440C2×D7311yescharacteristic, complemented
1047#440C2×D7311yescharacteristic, complemented
1048#440C2×D7311yescharacteristic, complemented
1049#440C2×D7311yescharacteristic, complemented
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×D8—731no—
1053C4×D8—731no—
1054#435—731no—
1055#435—731no—
1056#435—731no—
1057#435—731no—
1058C8×D4—731no—
1059C8×D4—731no—
1060#432—731no—
1061#432—731no—
1062#432—731no—
1063#428—731no—
1064#427C2×D7311yescharacteristic, complemented
1065C2×#106—731no—
1066#418—731no—
1067#417—731no—
1068#416C2×D7311yescharacteristic, complemented
1069#416C2×D7311yescharacteristic, complemented
1070C2×#102—731no—
1071C2×#102—731no—
1072C4×M16—731no—
1073C2×#97—731no—
1074C2×#97C2×D7311yescharacteristic, complemented
1075C2×#41—731no—
1076C2×#41—731no—
1077C2×#41—1461no—
1078C2×#41C22×D7311yescharacteristic
1079C2×#41C22×D7311yescharacteristic
1080C22×D4—731no—
1081C22×D4—731no—
1082C22×D4—731no—
1083C22×D4—1461no—
1084C23×C4—1461no—
1085C23×C4—1461no—
1086C23×C4—1461no—
1087AGL(1,ℤ/8)—1464no—
1088#135—24no—
1089C2×Q16—731no—
1090C2×Q16C22×D7311yescharacteristic
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—731no—
1097C2×SD16C22×D7311yescharacteristic
1098C2×SD16C22×D7311yescharacteristic
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8—731no—
1104C2×D8—1464no—
1105C2×D8C22×D7311yescharacteristic
1106C2×M16—731no—
1107C2×M16—731no—
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8C22×D7311yescharacteristic
1111C22×C8C22×D7311yescharacteristic
1112C4⋊Q8—731no—
1113C4⋊Q8—731no—
1114C4⋊Q8—731no—
1115#127—731no—
1116#126—1461no—
1117#126—1461no—
1118#126—1461no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#125—731no—
1127#125—731no—
1128#125—731no—
1129#125—731no—
1130#125—1461no—
1131#125—1461no—
1132#125—1461no—
1133#125—1461no—
1134#124—731no—
1135#124—731no—
1136#124—731no—
1137#124—731no—
1138#124—1461no—
1139#124—1461no—
1140#124—1461no—
1141#124—1461no—
1142#123—1461no—
1143#123—1461no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158C22⋊Q8—731no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—731no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8—1461no—
1171C22⋊Q8—1461no—
1172C22⋊Q8—1461no—
1173C22⋊Q8—1461no—
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—731no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121—1461no—
1189#121—1461no—
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195#120—1461no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—1461no—
1201C4×Q8C22×D7311yescharacteristic
1202C4×Q8C22×D7311yescharacteristic
1203C4×Q8C22×D7311yescharacteristic
1204C4×Q8C22×D7311yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—731no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4C22×D7311yescharacteristic
1243C4×D4C22×D7311yescharacteristic
1244C4×D4C22×D7311yescharacteristic
1245C4×D4C22×D7311yescharacteristic
1246#117—21no—
1247#117—21no—
1248#117—731no—
1249#117—731no—
1250#117—731no—
1251#117—731no—
1252#117—1461no—
1253#117—1461no—
1254#117—1461no—
1255#117—1461no—
1256#117—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117C22×D7311yescharacteristic
1263#117C22×D7311yescharacteristic
1264C2×C4⋊C4—731no—
1265C2×C4⋊C4—731no—
1266C2×C4⋊C4—731no—
1267C2×C4⋊C4—1461no—
1268C2×C4⋊C4—1461no—
1269C2×C4⋊C4—1461no—
1270C2×C22⋊C4—1461no—
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C22⋊C4—1461no—
1276C2×C22⋊C4—1461no—
1277C2×C42—21no—
1278C2×C42—21no—
1279C2×C42—731no—
1280C2×C42—731no—
1281C2×C42—1461no—
1282C2×C42C22×D7311yescharacteristic
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107—731no—
1289#107C22×D7311yescharacteristic
1290#107C22×D7311yescharacteristic
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106—731no—
1296#106—731no—
1297#106C22×D7311yescharacteristic
1298#106C22×D7311yescharacteristic
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8—731no—
1304C4⋊C8—731no—
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103—731no—
1313#103C22×D7311yescharacteristic
1314#103C22×D7311yescharacteristic
1315#103C22×D7311yescharacteristic
1316#103C22×D7311yescharacteristic
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102C22×D7311yescharacteristic
1334#102C22×D7311yescharacteristic
1335#102C22×D7311yescharacteristic
1336#102C22×D7311yescharacteristic
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8—731no—
1342C22⋊C8—731no—
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97C22×D7311yescharacteristic
1348#97C22×D7311yescharacteristic
1349#97C22×D7311yescharacteristic
1350#97C22×D7311yescharacteristic
1351C4×C8—731no—
1352C4×C8—731no—
1353C24—1461no—
1354C24—1461no—
1355C24—1461no—
1356#41—22no—
1357#41—22no—
1358#41—41no—
1359#41—41no—
1360#41—2922no—
1361#41—2921no—
1362#41—5842no—
1363#41—1462no—
1364C2×Q8—731no—
1365C2×Q8—731no—
1366C2×Q8—1461no—
1367C2×Q8—1461no—
1368C2×Q8C23×D7311yescharacteristic
1369C2×Q8C23×D7311yescharacteristic
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—2924no—
1373C2×D4—2921no—
1374C2×D4—2921no—
1375C2×D4—2921no—
1376C2×D4—731no—
1377C2×D4—731no—
1378C2×D4—731no—
1379C2×D4—731no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—1461no—
1383C2×D4—1461no—
1384C2×D4—1461no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1462no—
1390C2×D4—1462no—
1391C2×D4—1462no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4C23×D7311yescharacteristic
1398C2×D4C23×D7311yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—2924no—
1406C22×C4—5842no—
1407C22×C4—5842no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—731no—
1411C22×C4—731no—
1412C22×C4—731no—
1413C22×C4—731no—
1414C22×C4—1461no—
1415C22×C4—1461no—
1416C22×C4—1461no—
1417C22×C4—1461no—
1418C22×C4—1461no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4D4×D7311yescharacteristic
1429C22×C4D4×D7311yescharacteristic
1430C22×C4C23×D7311yescharacteristic
1431Q16—22no—
1432Q16—2921no—
1433SD16—22no—
1434SD16—22no—
1435SD16—2921no—
1436SD16—2921no—
1437SD16—2921no—
1438SD16—2921no—
1439SD16—1462no—
1440SD16—1462no—
1441D8—2921no—
1442D8—1462no—
1443D8—1462no—
1444D8—1462no—
1445D8—1462no—
1446D8#1192402814yescomplemented
1447M16—2921no—
1448M16—1462no—
1449C2×C8—22no—
1450C2×C8—41no—
1451C2×C8—2921no—
1452C2×C8—731no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—731no—
1456C2×C8—1462no—
1457C2×C8C23×D7311yescharacteristic
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—731no—
1466C4⋊C4—731no—
1467C4⋊C4—731no—
1468C4⋊C4—731no—
1469C4⋊C4—731no—
1470C4⋊C4—731no—
1471C4⋊C4—731no—
1472C4⋊C4—731no—
1473C4⋊C4—731no—
1474C4⋊C4—731no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C4⋊C4C23×D7311yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—731no—
1509C22⋊C4—731no—
1510C22⋊C4—731no—
1511C22⋊C4—731no—
1512C22⋊C4—731no—
1513C22⋊C4—731no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—21no—
1549C42—21no—
1550C42—21no—
1551C42—731no—
1552C42—731no—
1553C42—731no—
1554C42—731no—
1555C42—731no—
1556C42—731no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42D4×D7311yescharacteristic
1561C42D4×D7311yescharacteristic
1562C42C23×D7311yescharacteristic
1563C42C23×D7311yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—2922no—
1567C23—2922no—
1568C23—2922no—
1569C23—2922no—
1570C23—2922no—
1571C23—2922no—
1572C23—5841no—
1573C23—5841no—
1574C23—5841no—
1575C23—731no—
1576C23—731no—
1577C23—1461no—
1578C23—1461no—
1579C23—1461no—
1580C23C2×D4×D7311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—2921no—
1586Q8—5841no—
1587Q8—5841no—
1588Q8—1461no—
1589Q8—1461no—
1590D4—21no—
1591D4—21no—
1592D4—42no—
1593D4—42no—
1594D4—2922no—
1595D4—2922no—
1596D4—2922no—
1597D4—2922no—
1598D4—2922no—
1599D4—2922no—
1600D4—2922no—
1601D4—2921no—
1602D4—5841no—
1603D4—5841no—
1604D4—5841no—
1605D4—5841no—
1606D4—5841no—
1607D4—1462no—
1608D4—1462no—
1609D4—1461no—
1610D4—1461no—
1611D4—1461no—
1612D4—1461no—
1613D4—1461no—
1614D4—1461no—
1615D4C2×#1192402812yes—
1616D4C2×#1192402812yes—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—42no—
1631C2×C4—42no—
1632C2×C4—81no—
1633C2×C4—2922no—
1634C2×C4—2922no—
1635C2×C4—2922no—
1636C2×C4—2921no—
1637C2×C4—2921no—
1638C2×C4—2921no—
1639C2×C4—2922no—
1640C2×C4—2922no—
1641C2×C4—2922no—
1642C2×C4—2922no—
1643C2×C4—5841no—
1644C2×C4—5841no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—5841no—
1649C2×C4—5841no—
1650C2×C4—731no—
1651C2×C4—731no—
1652C2×C4—731no—
1653C2×C4—731no—
1654C2×C4—731no—
1655C2×C4—731no—
1656C2×C4—1462no—
1657C2×C4—1461no—
1658C2×C4—1461no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4—1461no—
1665C2×C4—1461no—
1666C2×C4C2×D4×D7311yescharacteristic
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C2×D4×D7311yescharacteristic
1671C2×C4C24×D7311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—1461no—
1676C8—1461no—
1677C8—1461no—
1678C8—1461no—
1679C8C2×#1192402812yes—
1680C22—21no—
1681C22—21no—
1682C22—22no—
1683C22—22no—
1684C22—21no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—2921no—
1690C22—2921no—
1691C22—2921no—
1692C22—2921no—
1693C22—2921no—
1694C22—2921no—
1695C22—2921no—
1696C22—2921no—
1697C22—2921no—
1698C22—5844no—
1699C22—5844no—
1700C22—5844no—
1701C22—732no—
1702C22—1461no—
1703C22—1461no—
1704C22—1461no—
1705C22—1461no—
1706C22—1461no—
1707C22C22×D4×D7311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—2921no—
1720C4—2921no—
1721C4—2921no—
1722C4—2921no—
1723C4—2921no—
1724C4—1461no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4—1461no—
1729C4—1461no—
1730C4C22×#1192402811yescharacteristic
1731C4#1798942311yescharacteristic
1732C2—41no—
1733C2—42no—
1734C2—42no—
1735C2—2921no—
1736C2—5841no—
1737C2—5841no—
1738C2—5841no—
1739C2—1462no—
1740C2D4×#1192402811yescharacteristic
1741C2#575×D7311yescharacteristic
1742C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#2943C2
socleC22×C73C23×D4
hypercenter#2943D73
hypocenterC73#61454
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #2943

Complements

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

NH ≅ G/Ntype
1. #22623541C2semidirect
2. #22623493C2semidirect
3. #22622998C2semidirect
4. #22622890C2semidirect
5. #22622763C2semidirect
6. #22622685C2semidirect
7. #22622427C2semidirect
8. #22622391C2semidirect
9. #22622311C2semidirect
10. #22622083C2semidirect
11. #22622017C2semidirect
12. #22621957C2semidirect
13. #22621903C2semidirect
14. #22621782C2semidirect
15. #22621767C2semidirect
16. #22621610C2semidirect
17. #22621456C2semidirect
18. #22621413C2semidirect
19. #22620663C2semidirect
20. #22620638C2semidirect
21. #22620629C2semidirect
22. #22620082C2semidirect
23. #22620073C2semidirect
24. #22620073C2semidirect
25. #22620044C2semidirect
26. #22620040C2semidirect
27. #22620028C2semidirect
28. #22618942C2semidirect
29. #22618742C2semidirect
30. #442×D73C2semidirect
31. C73×#2943C2semidirect
34. #17989322C22semidirect
35. #17989309C22semidirect
36. #17989300C22semidirect
38. #17989296C22semidirect
39. #17989294C22semidirect
43. #17989281C22semidirect
45. #17989276C22semidirect
51. #17989236C22semidirect
55. #17989225C22semidirect
56. #17989225C22semidirect
58. #17989141C22semidirect
59. #17989137C22semidirect
61. #17989124C22semidirect
62. #17989124C22semidirect
65. #17989121C22semidirect
71. C4×#11924027C22semidirect
74. C4×D4×D73C22semidirect
75. C4×D4×D73C22semidirect
77. #17988996C22semidirect
78. #17988994C22semidirect
79. #17988987C22semidirect
80. #17988980C22semidirect
82. #17988972C22semidirect
83. #17988954C22semidirect
84. #17988952C22semidirect
85. #17988948C22semidirect
86. #17988947C22semidirect
87. #17988943C22semidirect
88. #17988943C22semidirect
89. #17988928C22semidirect
90. #17988927C22semidirect
91. #17988924C22semidirect
92. #17988921C22semidirect
93. #17988916C22semidirect
94. #17988916C22semidirect
95. #17988914C22semidirect
96. #17988911C22semidirect
97. #17988911C22semidirect
98. #17988911C22semidirect
100. #17988902C22semidirect
101. #17988894C22semidirect
102. #17988893C22semidirect
103. #17988890C22semidirect
104. #17988890C22semidirect
105. #17988889C22semidirect
106. #17988889C22semidirect
107. #17988887C22semidirect
108. #17988885C22semidirect
109. #17988872C22semidirect
110. #17988867C22semidirect
111. #17988866C22semidirect
112. #17988865C22semidirect
113. #17988842C22semidirect
115. #17988836C22semidirect
116. #17988836C22semidirect
117. #17988827C22semidirect
118. #17988825C22semidirect
119. #17988823C22semidirect
120. #17988823C22semidirect
123. #17988816C22semidirect
124. #17988816C22semidirect
125. #17988812C22semidirect
126. #17988809C22semidirect
127. #17988805C22semidirect
128. #17988805C22semidirect
130. #17988804C22semidirect
131. #17988804C22semidirect
133. #17988791C22semidirect
134. #17988790C22semidirect
135. #17988787C22semidirect
137. #17988749C22semidirect
138. #17988746C22semidirect
141. #17988736C22semidirect
142. #17988736C22semidirect
145. #17988732C22semidirect
146. #17988732C22semidirect
149. #17988715C22semidirect
150. #17988715C22semidirect
151. #17988700C22semidirect
152. #17988700C22semidirect
154. #17988698C22semidirect
156. #17988697C22semidirect
157. #17988697C22semidirect
159. #17988696C22semidirect
160. #17988692C22semidirect
161. #17988689C22semidirect
162. #17988689C22semidirect
163. #17988687C22semidirect
164. #17988685C22semidirect
165. #17988685C22semidirect
166. #17988685C22semidirect
167. #17988678C22semidirect
168. #17988674C22semidirect
170. #17988667C22semidirect
173. #17988658C22semidirect
174. #17988658C22semidirect
175. C8×C22⋊D73C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988644C22semidirect
178. #17988642C22semidirect
179. #17988642C22semidirect
180. #17988626C22semidirect
181. #106×D73C22semidirect
182. #17988590C22semidirect
183. #17988585C22semidirect
185. #102×D73C22semidirect
186. #17988539C22semidirect
187. #97×D73C22semidirect
189. C4×#41×C73C22semidirect
190. C4×#41×C73C22semidirect
193. #441×C73C22semidirect
194. #441×C73C22semidirect
195. #440×C73C22semidirect
196. #440×C73C22semidirect
197. #440×C73C22semidirect
198. #440×C73C22semidirect
199. #427×C73C22semidirect
200. #416×C73C22semidirect
201. #416×C73C22semidirect
202. C2×#97×C73C22semidirect
661. D8×C73#41semidirect
901. #2943D73semidirect
903. C73#61454semidirect
945. C4×#41C2×D73semidirect
946. C4×#41C2×D73semidirect
1038. #441C2×D73semidirect
1039. #441C2×D73semidirect
1046. #440C2×D73semidirect
1047. #440C2×D73semidirect
1048. #440C2×D73semidirect
1049. #440C2×D73semidirect
1064. #427C2×D73semidirect
1068. #416C2×D73semidirect
1069. #416C2×D73semidirect
1074. C2×#97C2×D73semidirect
1446. D8#11924028semidirect

Maximal subgroups

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

subgroupindex
#226235412
#226234932
#226229982
#226228902
#226227632
#226226852
#226224272
#226223912
#226223112
#226220832
#226220172
#226219572
#226219032
#226217822
#226217672
#226216102
#226214562
#226214132
#226206632
#226206382
#226206292
#226200822
#226200732
#226200442
#226200402
#226200282
#226189422
#226187422
#442×D732
C73×#29432
#6145473