Finite Group Databasebeta

← #33982936

Subgroups — #33982936

Order 18688.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624527C211yesmaximal, characteristic, complemented
2#22623964C211yesmaximal, characteristic
3#22622876C211yesmaximal, characteristic, complemented
4#22622662C211yesmaximal, characteristic, complemented
5#22622660C211yesmaximal, characteristic, complemented
6#22622453C211yesmaximal, characteristic, complemented
7#22622445C211yesmaximal, characteristic, complemented
8#22622423C211yesmaximal, characteristic, complemented
9#22622415C211yesmaximal, characteristic, complemented
10#22622309C211yesmaximal, characteristic, complemented
11#22622307C211yesmaximal, characteristic, complemented
12#22621957C211yesmaximal, characteristic, complemented
13#22621957C211yesmaximal, characteristic, complemented
14#22621949C211yesmaximal, characteristic, complemented
15#22621949C211yesmaximal, characteristic, complemented
16#22621757C211yesmaximal, characteristic, complemented
17#22621752C211yesmaximal, characteristic, complemented
18#22621376C211yesmaximal, characteristic, complemented
19#22621376C211yesmaximal, characteristic, complemented
20#22621246C211yesmaximal, characteristic, complemented
21#22621187C211yesmaximal, characteristic, complemented
22#22621185C211yesmaximal, characteristic, complemented
23#22621122C211yesmaximal, characteristic, complemented
24#22620182C211yesmaximal, characteristic, complemented
25#22620180C211yesmaximal, characteristic, complemented
26#22620028C211yesmaximal, characteristic, complemented
27#22619759C211yesmaximal, characteristic, complemented
28#22619757C211yesmaximal, characteristic, complemented
29#478×D73C211yesmaximal, characteristic, complemented
30#22619069C211yesmaximal, characteristic, complemented
31C73×#3388C211yesmaximal, characteristic, complemented
32C73⋊#564—21no—
33#17989336—21no—
34#17989315C2211yescharacteristic, complemented
35#17989303C2211yescharacteristic
36#17989298C2211yescharacteristic, complemented
37#17989297C2211yescharacteristic, complemented
38#17989290C2211yescharacteristic
39#17989290C2211yescharacteristic
40#17989285—21no—
41#17989278—21no—
42#17989278C2211yescharacteristic, complemented
43#17989278C2211yescharacteristic, complemented
44#17989275C2211yescharacteristic, complemented
45#17989275C2211yescharacteristic, complemented
46#17989269—21no—
47#17989259C2211yescharacteristic
48#17989228—21no—
49#17989228—21no—
50#17989228—21no—
51D4×D292C2211yescharacteristic
52D4×D292C2211yescharacteristic
53D4×D292C2211yescharacteristic
54#17989217C2211yescharacteristic, complemented
55#17989214—21no—
56#17989214C2211yescharacteristic, complemented
57#17989196—21no—
58#17989195—21no—
59#17989195C2211yescharacteristic, complemented
60#17989195C2211yescharacteristic, complemented
61#17989193C2211yescharacteristic
62#17989193C2211yescharacteristic
63#17989185—21no—
64#17989177—21no—
65#17989177—21no—
66#17989141C2211yescharacteristic, complemented
67#17989138C2211yescharacteristic
68#17989124C2211yescharacteristic
69#125×D73C2211yescharacteristic, complemented
70#17989100—21no—
71C2×#14556566—21no—
72#17989059C2211yescharacteristic
73#17989059C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75#17988997C2211yescharacteristic, complemented
76#17988993C2211yescharacteristic, complemented
77#17988986C2211yescharacteristic, complemented
78#17988953C2211yescharacteristic, complemented
79#17988953C2211yescharacteristic, complemented
80#17988952C2211yescharacteristic, complemented
81#17988952C2211yescharacteristic, complemented
82#17988935C2211yescharacteristic, complemented
83#17988934C2211yescharacteristic, complemented
84#17988931C2211yescharacteristic, complemented
85#17988930C2211yescharacteristic, complemented
86#17988927C2211yescharacteristic, complemented
87#17988926C2211yescharacteristic, complemented
88#17988924C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic, complemented
90#17988914C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic, complemented
92#17988913C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988907C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic, complemented
96#17988907C2211yescharacteristic, complemented
97#17988907C2211yescharacteristic, complemented
98#17988902C2211yescharacteristic, complemented
99#17988902C2211yescharacteristic, complemented
100#17988902C2211yescharacteristic, complemented
101#17988902C2211yescharacteristic, complemented
102#17988891C2211yescharacteristic, complemented
103#17988891C2211yescharacteristic, complemented
104#17988890C2211yescharacteristic, complemented
105#17988890C2211yescharacteristic, complemented
106#17988890C2211yescharacteristic, complemented
107#17988889C2211yescharacteristic
108#17988888C2211yescharacteristic, complemented
109#17988888C2211yescharacteristic, complemented
110#17988887C2211yescharacteristic
111#17988887C2211yescharacteristic
112#17988886C2211yescharacteristic, complemented
113#17988886C2211yescharacteristic, complemented
114#17988886C2211yescharacteristic, complemented
115#17988885C2211yescharacteristic
116#17988884C2211yescharacteristic, complemented
117#17988884C2211yescharacteristic, complemented
118#17988877C2211yescharacteristic
119#17988876C2211yescharacteristic, complemented
120#17988876C2211yescharacteristic, complemented
121#17988869C2211yescharacteristic, complemented
122#17988868C2211yescharacteristic, complemented
123#17988866C2211yescharacteristic, complemented
124#17988865C2211yescharacteristic
125#17988864C2211yescharacteristic, complemented
126#17988836C2211yescharacteristic, complemented
127#17988836C2211yescharacteristic, complemented
128#17988834C2211yescharacteristic, complemented
129#17988834C2211yescharacteristic, complemented
130#17988819C2211yescharacteristic, complemented
131#17988819C2211yescharacteristic, complemented
132#17988819C2211yescharacteristic, complemented
133#17988819C2211yescharacteristic, complemented
134#17988817C2211yescharacteristic, complemented
135#17988817C2211yescharacteristic, complemented
136#17988817C2211yescharacteristic, complemented
137#17988817C2211yescharacteristic, complemented
138#17988791C2211yescharacteristic, complemented
139#17988791C2211yescharacteristic, complemented
140#17988791C2211yescharacteristic, complemented
141#17988790C2211yescharacteristic
142#17988788C2211yescharacteristic, complemented
143#17988788C2211yescharacteristic, complemented
144#17988788C2211yescharacteristic, complemented
145#17988787C2211yescharacteristic, complemented
146#17988787C2211yescharacteristic, complemented
147#17988787C2211yescharacteristic, complemented
148#17988739C2211yescharacteristic
149#17988739C2211yescharacteristic
150#17988739C2211yescharacteristic
151#17988736C2211yescharacteristic
152#17988736C2211yescharacteristic
153#17988736C2211yescharacteristic
154#17988718C2211yescharacteristic, complemented
155#17988689C2211yescharacteristic, complemented
156#17988689C2211yescharacteristic, complemented
157#17988687C2211yescharacteristic
158#17988687C2211yescharacteristic
159#17988685C2211yescharacteristic, complemented
160#17988685C2211yescharacteristic, complemented
161C4×#11924017C2211yescharacteristic, complemented
162C4×#11924015C2211yescharacteristic, complemented
163C4×#11924016C2211yescharacteristic
164#17988660C2211yescharacteristic, complemented
165#17988660C2211yescharacteristic, complemented
166#17988657C2211yescharacteristic, complemented
167#17988657C2211yescharacteristic, complemented
168C8×D292C2211yescharacteristic, complemented
169#17988652C2211yescharacteristic, complemented
170#17988649C2211yescharacteristic, complemented
171#17988646C2211yescharacteristic, complemented
172#17988642C2211yescharacteristic, complemented
173#17988626C2211yescharacteristic, complemented
174#17988626C2211yescharacteristic, complemented
175#17988624C2211yescharacteristic, complemented
176#17988622C2211yescharacteristic, complemented
177#107×D73C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic, complemented
179#17988612C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic
183#17988590C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#102×D73C2211yescharacteristic
186#102×D73C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#557×C73C2211yescharacteristic, complemented
189#554×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#501×C73C2211yescharacteristic, complemented
192#499×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#479×C73C2211yescharacteristic, complemented
195#478×C73C2211yescharacteristic
196#478×C73C2211yescharacteristic
197#476×C73C2211yescharacteristic
198#475×C73C2211yescharacteristic, complemented
199#446×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic
202C4×SD16×C73C2211yescharacteristic
203C2×#11924029—21no—
204C2×#11924029—21no—
205C22×D292—21no—
206C22×D292—21no—
207C22×D292—21no—
208C2×D4×D73C2311yescharacteristic
209C2×D4×D73C2311yescharacteristic
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212C2×#11924017C2311yescharacteristic
213C2×#11924017C2311yescharacteristic
214C2×#11924017C2311yescharacteristic
215C2×#11924016C2311yescharacteristic
216C2×#11924015C2311yescharacteristic
217C2×#11924015C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×#11924011C2311yescharacteristic
220C2×#11924011C2311yescharacteristic
221C2×C8×D73C2311yescharacteristic
222C2×C8×D73C2311yescharacteristic
223C2×C8×D73C2311yescharacteristic
224C2×C8×D73C2311yescharacteristic
225#14556591C2311yescharacteristic
226#14556590—21no—
227#14556590C2311yescharacteristic
228#14556589—21no—
229#14556589—21no—
230#14556589C2311yescharacteristic
231#14556588C2311yescharacteristic
232#14556588C2311yescharacteristic
233#14556588C2311yescharacteristic
234#14556586—21no—
235#14556586—21no—
236#14556586—21no—
237#14556586—21no—
238#14556586—21no—
239#14556586—21no—
240#14556586D411yescharacteristic
241#14556586D411yescharacteristic
242#14556585—21no—
243#14556585—21no—
244#14556585—21no—
245#14556585—21no—
246#14556583—21no—
247#14556583—21no—
248#14556583—21no—
249#14556583C2311yescharacteristic
250#14556583C2311yescharacteristic
251#14556582—21no—
252#14556582—21no—
253#14556582—21no—
254#14556582D411yescharacteristic
255#14556582C2311yescharacteristic
256#14556582C2311yescharacteristic
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556581—21no—
261#14556581—21no—
262#14556581—21no—
263#14556581—21no—
264#14556581—21no—
265#14556581—21no—
266#14556581—21no—
267#14556581—21no—
268#14556580—21no—
269#14556580—21no—
270#14556580—21no—
271#14556580D411yescharacteristic
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576—21no—
276#14556576—21no—
277#14556576—21no—
278#14556576—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576D411yescharacteristic
283#14556576D411yescharacteristic
284#14556571—21no—
285#14556571C2311yescharacteristic
286#14556571C2311yescharacteristic
287#14556571C2311yescharacteristic
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556567—21no—
294#14556567—21no—
295#14556567—21no—
296#14556567D411yescharacteristic
297#14556567C2311yescharacteristic
298#14556567C2311yescharacteristic
299#14556567C2311yescharacteristic
300#14556566—21no—
301#14556566—21no—
302#14556566—21no—
303#14556566—21no—
304#14556566—21no—
305#14556566—21no—
306#14556566—21no—
307#14556566—21no—
308#14556566—21no—
309#14556566—21no—
310#14556566—21no—
311#14556566D411yescharacteristic
312#14556566C2311yescharacteristic
313#14556566C2311yescharacteristic
314#14556566C2311yescharacteristic
315#14556566C2311yescharacteristic
316#14556566C2311yescharacteristic
317#14556566C2311yescharacteristic
318#14556565—21no—
319#14556565—21no—
320#14556565—21no—
321#14556561—21no—
322#14556561—21no—
323#14556561—21no—
324#14556561—21no—
325#14556561—21no—
326#14556561—21no—
327C4×Dic146—21no—
328C4×Dic146C2311yescharacteristic
329C4×Dic146C2311yescharacteristic
330C4×Dic146C2311yescharacteristic
331#14556556—21no—
332C4×D292—21no—
333C4×D292C2311yescharacteristic
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340#14556553—21no—
341#14556553—21no—
342#14556553—21no—
343#14556553—21no—
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556549—21no—
354#14556549—21no—
355#14556549—21no—
356#14556549C2311yescharacteristic
357#14556549C2311yescharacteristic
358#14556549C2311yescharacteristic
359#14556549C2311yescharacteristic
360#14556548—21no—
361#14556548—21no—
362#14556548—21no—
363#14556548C2311yescharacteristic
364#14556548C2311yescharacteristic
365C4⋊C4×D73—21no—
366C4⋊C4×D73—21no—
367C4⋊C4×D73C2311yescharacteristic
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C4⋊C4×D73C2311yescharacteristic
371C4⋊C4×D73C2311yescharacteristic
372C2×#11924005—21no—
373C2×#11924005—21no—
374C22⋊C4×D73—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C42×D73C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556525C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393C4⋊#10596831C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556514C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C2×SD16×C73C2311yescharacteristic
436C4⋊Q8×C73—21no—
437C4⋊Q8×C73C2311yescharacteristic
438C4⋊Q8×C73C2311yescharacteristic
439#125×C73—21no—
440#125×C73—21no—
441#125×C73C2311yescharacteristic
442#125×C73C2311yescharacteristic
443#125×C73C2311yescharacteristic
444#125×C73C2311yescharacteristic
445C22⋊Q8×C73—21no—
446C22⋊Q8×C73—21no—
447C22⋊Q8×C73—21no—
448C4×Q8×C73—21no—
449C4×Q8×C73C2311yescharacteristic
450C4×Q8×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×Q8×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C2×C4⋊C4×C73—21no—
457#107×C73C2311yescharacteristic
458#107×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#106×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466C4⋊C8×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#97×C73C2311yescharacteristic
476#97×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C23×D73—21no—
479C23×D73—21no—
480C23×D73—21no—
481#11924029—82no—
482#11924029—82no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146C2411yescharacteristic
486C2×D292—21no—
487C2×D292—21no—
488C2×D292—21no—
489C2×D292—21no—
490C2×D292—21no—
491C2×D292—21no—
492C2×D292—21no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—82no—
499C2×D292—82no—
500C2×D292—82no—
501C2×D292C2×D411yescharacteristic
502C2×D292C2×D411yescharacteristic
503C2×D292C2×D411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510D4×D73—22no—
511D4×D73—22no—
512D4×D73—22no—
513D4×D73—41no—
514D4×D73—41no—
515D4×D73—41no—
516C22×Dic73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—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—82no—
529C2×C4×D73C2×D411yescharacteristic
530C2×C4×D73C2×D411yescharacteristic
531C2×C4×D73C2411yescharacteristic
532C2×C4×D73C2411yescharacteristic
533C2×C4×D73C2411yescharacteristic
534#11924017—41no—
535#11924017—41no—
536#11924017—41no—
537#11924016—22no—
538#11924015—41no—
539#11924015—41no—
540#11924015—41no—
541#11924011—41no—
542#11924011—41no—
543C2×#10596831C2411yescharacteristic
544C2×#10596831C2411yescharacteristic
545C2×#10596831C2411yescharacteristic
546C2×#10596831C2411yescharacteristic
547C8×D73—41no—
548C8×D73—41no—
549C8×D73—41no—
550C8×D73—41no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73C2×D411yescharacteristic
558C4⋊Dic73C2×D411yescharacteristic
559C4⋊Dic73C2×D411yescharacteristic
560C4⋊Dic73C2411yescharacteristic
561C4⋊Dic73C2411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563C4⋊Dic73C2411yescharacteristic
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
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#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588C22⋊Dic73—21no—
589#11924005—21no—
590#11924005—21no—
591#11924005—21no—
592#11924005—21no—
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
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#11924005C2×D411yescharacteristic
612#11924005C2×D411yescharacteristic
613#11924005C2×D411yescharacteristic
614#11924005C2×D411yescharacteristic
615#11924005C2×D411yescharacteristic
616#11924005C2×D411yescharacteristic
617#11924005C2×D411yescharacteristic
618#11924005C2×D411yescharacteristic
619#11924005C2×D411yescharacteristic
620#11924005C2×D411yescharacteristic
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73C2×D411yescharacteristic
629C4×Dic73C2×D411yescharacteristic
630C4×Dic73C2411yescharacteristic
631C2×Q8×C73—21no—
632C2×Q8×C73—21no—
633C2×Q8×C73C2×D411yescharacteristic
634C2×Q8×C73C2411yescharacteristic
635C2×D4×C73C2411yescharacteristic
636C22×C4×C73—21no—
637C22×C4×C73—21no—
638C22×C4×C73—21no—
639SD16×C73—22no—
640C2×C8×C73C2411yescharacteristic
641C2×C8×C73C2411yescharacteristic
642C2×C8×C73C2411yescharacteristic
643C2×C8×C73C2411yescharacteristic
644C4⋊C4×C73—21no—
645C4⋊C4×C73—21no—
646C4⋊C4×C73—21no—
647C4⋊C4×C73—21no—
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73—21no—
651C4⋊C4×C73—21no—
652C4⋊C4×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73—21no—
655C4⋊C4×C73—21no—
656C4⋊C4×C73—21no—
657C4⋊C4×C73C2×D411yescharacteristic
658C4⋊C4×C73C2×D411yescharacteristic
659C4⋊C4×C73C2×D411yescharacteristic
660C4⋊C4×C73C2411yescharacteristic
661C4⋊C4×C73C2411yescharacteristic
662C4⋊C4×C73C2411yescharacteristic
663C4⋊C4×C73C2411yescharacteristic
664C4⋊C4×C73C2411yescharacteristic
665C4⋊C4×C73C2411yescharacteristic
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73—21no—
669C42×C73—21no—
670C42×C73—21no—
671C42×C73—21no—
672C42×C73C2411yescharacteristic
673C42×C73C2411yescharacteristic
674C42×C73C2411yescharacteristic
675C23×C73—21no—
676C22×D73—21no—
677C22×D73—21no—
678C22×D73—21no—
679C22×D73—42no—
680C22×D73—42no—
681C22×D73—42no—
682C22×D73—42no—
683C22×D73—81no—
684C22×D73—81no—
685C22×D73—81no—
686C22×D73—81no—
687C22×D73—81no—
688C22×D73C22×D411yescharacteristic
689C22×D73C22×D411yescharacteristic
690C22×D73C22×D411yescharacteristic
691Q8×C73—21no—
692Q8×C73—21no—
693Q8×C73—41no—
694Q8×C73—81no—
695Q8×C73—81no—
696D4×C73—21no—
697D4×C732−1+412yes—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—42no—
706C2×C4×C73—81no—
707C2×C4×C73—81no—
708C2×C4×C73C22×D411yescharacteristic
709C2×C4×C73C22×D411yescharacteristic
710C2×C4×C73C22×D411yescharacteristic
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C22×D411yescharacteristic
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C2511yescharacteristic
715C22⋊D73—42no—
716C22⋊D73—42no—
717C22⋊D73—42no—
718C2×Dic73—21no—
719C2×Dic73—21no—
720C2×Dic73—21no—
721C2×Dic73—21no—
722C2×Dic73—21no—
723C2×Dic73—81no—
724C2×Dic73C22×D411yescharacteristic
725C2×Dic73C22×D411yescharacteristic
726C2×Dic73C22×D411yescharacteristic
727C2×Dic73C22×D411yescharacteristic
728C2×Dic73C22×D411yescharacteristic
729D292—22no—
730D292—22no—
731D292—21no—
732D292—21no—
733D292—21no—
734D292—21no—
735D292—21no—
736D292—21no—
737D292—41no—
738D292—42no—
739D292—42no—
740D292—42no—
741D292—81no—
742D292—81no—
743D292—81no—
744D292—81no—
745D292—81no—
746D292—81no—
747D292—81no—
748D292—81no—
749D292—81no—
750C4×D73—22no—
751C4×D73—21no—
752C4×D73—21no—
753C4×D73—21no—
754C4×D73—21no—
755C4×D73—21no—
756C4×D73—21no—
757C4×D73—41no—
758C4×D73—42no—
759C4×D73—42no—
760C4×D73—81no—
761C4×D73—81no—
762C4×D73—81no—
763C4×D73—81no—
764C4×D73—81no—
765C4×D73—81no—
766C4×D73—81no—
767C4×D73—81no—
768C4×D73—81no—
769Dic146—21no—
770Dic146—21no—
771Dic146—81no—
772Dic146—81no—
773C8×C73—21no—
774C8×C73—21no—
775C8×C73—21no—
776C8×C73—21no—
777#10596831—21no—
778#10596831—21no—
779#10596831—21no—
780#10596831—21no—
781C22×C73—22no—
782C22×C73—41no—
783C22×C73—41no—
784C22×C73C23×D411yescharacteristic
785C2×D73—21no—
786C2×D73—21no—
787C2×D73—21no—
788C2×D73—21no—
789C2×D73—21no—
790C2×D73—21no—
791C2×D73—21no—
792C2×D73—21no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—41no—
797C2×D73—41no—
798C2×D73—41no—
799C2×D73—41no—
800C2×D73—41no—
801C2×D73—41no—
802C2×D73—84no—
803C2×D73—162no—
804C2×D73—162no—
805C2×D73#57712yes—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—21no—
810C4×C73—21no—
811C4×C73—21no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73—41no—
816C4×C73—41no—
817C4×C73—41no—
818C4×C73—41no—
819C4×C73C2×2−1+411yescharacteristic
820C4×C73#58511yescharacteristic
821Dic73—21no—
822Dic73—21no—
823Dic73—21no—
824Dic73—21no—
825Dic73—21no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829Dic73—41no—
830Dic73—41no—
831#62164—731nomaximal, Sylow
832C2×C73—42no—
833C2×C73#348911yescharacteristic
834C2×C73C2×#57711yescharacteristic
835C2×C73#358511yescharacteristic
836D73—22no—
837D73—41no—
838D73—41no—
839D73—81no—
840D73—81no—
841D73—81no—
842#3563—731no—
843#3519—731no—
844#3388—731no—
845#3388D7311yescharacteristic, complemented
846#3368—731no—
847#3368—731no—
848#3348—731no—
849#3348—731no—
850#3346—731no—
851#3346—731no—
852#3337—731no—
853#3337—731no—
854#3310—731no—
855#3310—731no—
856#3310—731no—
857#3310—731no—
858#3295—731no—
859#3295—731no—
860#3260—731no—
861#3260—731no—
862#3246—731no—
863#3241—731no—
864#3241—731no—
865#3234—731no—
866#3123—731no—
867#3123—731no—
868#3110—731no—
869#3081—731no—
870#3081—731no—
871C2×#478—731no—
872#2992—731no—
873C73#6216411yescharacteristic, complemented, Sylow
874#564—1461no—
875#563—1461no—
876#557—731no—
877#557C2×D7311yescharacteristic, complemented
878#555—731no—
879#554—731no—
880#554—731no—
881#554C2×D7311yescharacteristic
882#553—731no—
883#553—731no—
884#553—1461no—
885#552—731no—
886#552—731no—
887#552—731no—
888#552—731no—
889#552—1461no—
890#552—1461no—
891#550—731no—
892#546—1461no—
893#546—1461no—
894#546—1461no—
895D42—731no—
896D42—731no—
897D42—731no—
898#544—731no—
899#544—731no—
900#544—1461no—
901#541—731no—
902#541—731no—
903#541—1461no—
904#541—1461no—
905#540—731no—
906#540—731no—
907#539—1461no—
908#538—1461no—
909#538—1461no—
910#533—731no—
911#532—731no—
912#529—731no—
913C2×#125—731no—
914#525—1461no—
915C2×#121—1461no—
916#518—731no—
917#518—731no—
918C2×C4×D4—731no—
919#501—731no—
920#501—731no—
921#501C2×D7311yescharacteristic, complemented
922#501C2×D7311yescharacteristic, complemented
923#499—731no—
924#499C2×D7311yescharacteristic, complemented
925#490—731no—
926#490—731no—
927#490—731no—
928#490—731no—
929#486—731no—
930#486—731no—
931#485—731no—
932#485—731no—
933#485—731no—
934#485—731no—
935#484—731no—
936#484—731no—
937#482—731no—
938#482—731no—
939#482—731no—
940#482—731no—
941#481—731no—
942#481—731no—
943#481—731no—
944#481—731no—
945#480—731no—
946#480—731no—
947#480—731no—
948#480—731no—
949#479—731no—
950#479—731no—
951#479C2×D7311yescharacteristic, complemented
952#479C2×D7311yescharacteristic, complemented
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#478—731no—
960#478—731no—
961#478—731no—
962#478—731no—
963#478—731no—
964#478—731no—
965#478—731no—
966#478—731no—
967#478C2×D7311yescharacteristic
968#478C2×D7311yescharacteristic
969#476—731no—
970#476—731no—
971#476—731no—
972#476C2×D7311yescharacteristic
973#475—731no—
974#475C2×D7311yescharacteristic, complemented
975#474—731no—
976#474—731no—
977#474—731no—
978#474—731no—
979#468—731no—
980#468—731no—
981#468—731no—
982#468—731no—
983#465—731no—
984#465—731no—
985#465—731no—
986#465—731no—
987#465—731no—
988#465—731no—
989#465—731no—
990#465—731no—
991#461—731no—
992#461—731no—
993#461—731no—
994#461—731no—
995#460—731no—
996#460—731no—
997#460—731no—
998#460—731no—
999#460—731no—
1000#460—731no—
1001#450—731no—
1002#450—731no—
1003#450—731no—
1004#450—731no—
1005#450—731no—
1006#450—731no—
1007#446—731no—
1008#446C2×D7311yescharacteristic, complemented
1009#440—731no—
1010#440—731no—
1011#440—731no—
1012#440—731no—
1013#440—731no—
1014#440—731no—
1015#440C2×D7311yescharacteristic
1016#440C2×D7311yescharacteristic
1017C4×SD16—731no—
1018C4×SD16—731no—
1019C4×SD16—731no—
1020C4×SD16C2×D7311yescharacteristic
1021#435—731no—
1022#435—731no—
1023#435—731no—
1024#435—731no—
1025C8×D4—731no—
1026C8×D4—731no—
1027#433—731no—
1028#433—731no—
1029#432—731no—
1030#428—731no—
1031#428—731no—
1032#427—731no—
1033#427—731no—
1034C2×#107—731no—
1035C2×#106—731no—
1036#424—731no—
1037#424—731no—
1038C2×C4⋊C8—731no—
1039#418—731no—
1040#418—731no—
1041C2×#102—731no—
1042C2×#102—731no—
1043C2×#102—731no—
1044C2×#102—731no—
1045C2×#41—1461no—
1046C2×#41—1461no—
1047C22×D4—731no—
1048C22×D4—731no—
1049C22×D4—731no—
1050C22×D4—1461no—
1051C22×D4—1461no—
1052C22×D4—1461no—
1053C23×C4—1461no—
1054C2×SD16—731no—
1055C2×SD16—731no—
1056C2×SD16—731no—
1057C2×SD16—731no—
1058C2×SD16—731no—
1059C2×SD16—731no—
1060C2×SD16—731no—
1061C2×SD16C22×D7311yescharacteristic
1062C2×M16—731no—
1063C2×M16—731no—
1064C22×C8—731no—
1065C22×C8—731no—
1066C22×C8—731no—
1067C22×C8—731no—
1068C4⋊Q8—21no—
1069C4⋊Q8—731no—
1070C4⋊Q8—731no—
1071C4⋊Q8—731no—
1072C4⋊Q8—1461no—
1073C4⋊Q8—1461no—
1074C4⋊Q8—1461no—
1075C4⋊Q8C22×D7311yescharacteristic
1076C4⋊Q8C22×D7311yescharacteristic
1077#127—731no—
1078#127—731no—
1079#127—731no—
1080#126—731no—
1081#126—731no—
1082#126—1461no—
1083#126—1461no—
1084#126—1461no—
1085#126—1461no—
1086#126—1461no—
1087#126—1461no—
1088#126—1461no—
1089#126—1461no—
1090#126—1461no—
1091#126—1461no—
1092#125—21no—
1093#125—21no—
1094#125—731no—
1095#125—731no—
1096#125—731no—
1097#125—731no—
1098#125—731no—
1099#125—1461no—
1100#125—1461no—
1101#125—1461no—
1102#125—1461no—
1103#125—1461no—
1104#125—1461no—
1105#125—1461no—
1106#125—1461no—
1107#125—1461no—
1108#125—1461no—
1109#125—1461no—
1110#125—1461no—
1111#125—1461no—
1112#125—1461no—
1113#125—1461no—
1114#125—1461no—
1115#125—1461no—
1116#125C22×D7311yescharacteristic
1117#125C22×D7311yescharacteristic
1118#125C22×D7311yescharacteristic
1119#125C22×D7311yescharacteristic
1120#124—731no—
1121#124—1461no—
1122#124—1461no—
1123#124—1461no—
1124#123—731no—
1125#123—731no—
1126#123—1461no—
1127#123—1461no—
1128#123—1461no—
1129#123—1461no—
1130#123—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—731no—
1142C22⋊Q8—731no—
1143C22⋊Q8—731no—
1144C22⋊Q8—731no—
1145C22⋊Q8—731no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155#121—731no—
1156#121—731no—
1157#121—731no—
1158#121—731no—
1159#121—731no—
1160#121—731no—
1161#121—731no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121—1461no—
1166#121—1461no—
1167#121—1461no—
1168#121—1461no—
1169#121—1461no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#121—1461no—
1175#121—1461no—
1176#120—1461no—
1177#120—1461no—
1178#120—1461no—
1179#120—1461no—
1180#120—1461no—
1181#120—1461no—
1182C4×Q8—21no—
1183C4×Q8—731no—
1184C4×Q8—731no—
1185C4×Q8—731no—
1186C4×Q8—1461no—
1187C4×Q8—1461no—
1188C4×Q8C22×D7311yescharacteristic
1189C4×Q8C22×D7311yescharacteristic
1190C4×Q8C22×D7311yescharacteristic
1191C4×Q8C22×D7311yescharacteristic
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—731no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4—1461no—
1213C4×D4C22×D7311yescharacteristic
1214C4×D4C22×D7311yescharacteristic
1215C4×D4C22×D7311yescharacteristic
1216#117—731no—
1217#117—731no—
1218#117—731no—
1219#117—731no—
1220#117—731no—
1221#117—731no—
1222#117—1461no—
1223#117—1461no—
1224#117—1461no—
1225#117—1461no—
1226#117—1461no—
1227#117—1461no—
1228C2×C4⋊C4—21no—
1229C2×C4⋊C4—731no—
1230C2×C4⋊C4—731no—
1231C2×C4⋊C4—731no—
1232C2×C4⋊C4—731no—
1233C2×C4⋊C4—731no—
1234C2×C4⋊C4—1461no—
1235C2×C4⋊C4—1461no—
1236C2×C22⋊C4—1461no—
1237C2×C22⋊C4—1461no—
1238C2×C22⋊C4—1461no—
1239C2×C22⋊C4—1461no—
1240C2×C22⋊C4—1461no—
1241C2×C42—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107—731no—
1246#107—731no—
1247#107—731no—
1248#107—731no—
1249#107—731no—
1250#107C22×D7311yescharacteristic
1251#107C22×D7311yescharacteristic
1252#107C22×D7311yescharacteristic
1253#107C22×D7311yescharacteristic
1254#106—731no—
1255#106—731no—
1256#106—731no—
1257#106—731no—
1258#106—731no—
1259#106—731no—
1260#106—731no—
1261#106C22×D7311yescharacteristic
1262#106C22×D7311yescharacteristic
1263#106C22×D7311yescharacteristic
1264#106C22×D7311yescharacteristic
1265#106C22×D7311yescharacteristic
1266C4⋊C8—731no—
1267C4⋊C8—731no—
1268C4⋊C8—731no—
1269C4⋊C8—731no—
1270C4⋊C8—731no—
1271C4⋊C8—731no—
1272C4⋊C8—731no—
1273C4⋊C8C22×D7311yescharacteristic
1274C4⋊C8C22×D7311yescharacteristic
1275C4⋊C8C22×D7311yescharacteristic
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#103—731no—
1280#103—731no—
1281#103C22×D7311yescharacteristic
1282#103C22×D7311yescharacteristic
1283#103C22×D7311yescharacteristic
1284#102—731no—
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102—731no—
1296#102—731no—
1297#102—731no—
1298#102—731no—
1299#102—731no—
1300#102—731no—
1301#102—731no—
1302#102—731no—
1303#102—731no—
1304#102—731no—
1305#102C22×D7311yescharacteristic
1306#102C22×D7311yescharacteristic
1307#102C22×D7311yescharacteristic
1308C22⋊C8—731no—
1309C22⋊C8—731no—
1310C22⋊C8—731no—
1311C22⋊C8—731no—
1312C22⋊C8—731no—
1313C22⋊C8—731no—
1314#97—731no—
1315#97—731no—
1316#97C22×D7311yescharacteristic
1317#97C22×D7311yescharacteristic
1318C4×C8—731no—
1319C4×C8C22×D7311yescharacteristic
1320C24—1461no—
1321C24—1461no—
1322C24—1461no—
1323#41—5842no—
1324#41—5842no—
1325C2×Q8—21no—
1326C2×Q8—21no—
1327C2×Q8—731no—
1328C2×Q8—1461no—
1329C2×Q8—1461no—
1330C2×Q8D4×D7311yescharacteristic
1331C2×Q8C23×D7311yescharacteristic
1332C2×D4—2921no—
1333C2×D4—2921no—
1334C2×D4—2921no—
1335C2×D4—5842no—
1336C2×D4—5842no—
1337C2×D4—5842no—
1338C2×D4—731no—
1339C2×D4—731no—
1340C2×D4—731no—
1341C2×D4—731no—
1342C2×D4—731no—
1343C2×D4—731no—
1344C2×D4—1461no—
1345C2×D4—1461no—
1346C2×D4—1461no—
1347C2×D4—1461no—
1348C2×D4—1461no—
1349C2×D4—1461no—
1350C2×D4—1461no—
1351C2×D4—1461no—
1352C2×D4—1461no—
1353C2×D4—1462no—
1354C2×D4—1462no—
1355C2×D4—1462no—
1356C2×D4—1461no—
1357C2×D4—1461no—
1358C2×D4—1461no—
1359C2×D4—1461no—
1360C2×D4—1461no—
1361C2×D4—1461no—
1362C2×D4C23×D7311yescharacteristic
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—5842no—
1367C22×C4—731no—
1368C22×C4—731no—
1369C22×C4—731no—
1370C22×C4—731no—
1371C22×C4—731no—
1372C22×C4—1461no—
1373C22×C4—1461no—
1374C22×C4—1461no—
1375C22×C4—1461no—
1376C22×C4—1461no—
1377C22×C4—1461no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4—1461no—
1384SD16—22no—
1385SD16—2921no—
1386SD16—2921no—
1387SD16—2921no—
1388SD16—2921no—
1389SD16—2921no—
1390SD16—2921no—
1391SD16—1462no—
1392M16—2921no—
1393M16—2921no—
1394C2×C8—2921no—
1395C2×C8—2921no—
1396C2×C8—2921no—
1397C2×C8—2921no—
1398C2×C8—731no—
1399C2×C8—731no—
1400C2×C8—731no—
1401C2×C8—731no—
1402C2×C8C23×D7311yescharacteristic
1403C2×C8C23×D7311yescharacteristic
1404C2×C8C23×D7311yescharacteristic
1405C2×C8C23×D7311yescharacteristic
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—731no—
1420C4⋊C4—731no—
1421C4⋊C4—731no—
1422C4⋊C4—731no—
1423C4⋊C4—731no—
1424C4⋊C4—731no—
1425C4⋊C4—731no—
1426C4⋊C4—731no—
1427C4⋊C4—731no—
1428C4⋊C4—731no—
1429C4⋊C4—731no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4D4×D7311yescharacteristic
1457C4⋊C4D4×D7311yescharacteristic
1458C4⋊C4D4×D7311yescharacteristic
1459C4⋊C4C23×D7311yescharacteristic
1460C4⋊C4C23×D7311yescharacteristic
1461C4⋊C4C23×D7311yescharacteristic
1462C4⋊C4C23×D7311yescharacteristic
1463C4⋊C4C23×D7311yescharacteristic
1464C4⋊C4C23×D7311yescharacteristic
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—731no—
1469C22⋊C4—731no—
1470C22⋊C4—731no—
1471C22⋊C4—731no—
1472C22⋊C4—731no—
1473C22⋊C4—731no—
1474C22⋊C4—731no—
1475C22⋊C4—731no—
1476C22⋊C4—731no—
1477C22⋊C4—731no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C42—21no—
1502C42—21no—
1503C42—21no—
1504C42—731no—
1505C42—731no—
1506C42—731no—
1507C42—1461no—
1508C42—1461no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42—1461no—
1514C42C23×D7311yescharacteristic
1515C42C23×D7311yescharacteristic
1516C42C23×D7311yescharacteristic
1517C23—21no—
1518C23—2922no—
1519C23—2922no—
1520C23—2922no—
1521C23—2922no—
1522C23—5841no—
1523C23—5841no—
1524C23—5841no—
1525C23—5841no—
1526C23—5841no—
1527C23—731no—
1528C23—731no—
1529C23—731no—
1530C23—1461no—
1531C23—1461no—
1532C23—1461no—
1533Q8—21no—
1534Q8—21no—
1535Q8—41no—
1536Q8—81no—
1537Q8—81no—
1538Q8—5841no—
1539Q8—5841no—
1540Q8—1461no—
1541Q8—1461no—
1542D4—21no—
1543D4—2922no—
1544D4—2921no—
1545D4—2922no—
1546D4—2922no—
1547D4—2922no—
1548D4—2922no—
1549D4—2922no—
1550D4—5841no—
1551D4—5841no—
1552D4—5841no—
1553D4—5841no—
1554D4—5841no—
1555D4—5841no—
1556D4—5841no—
1557D4—5841no—
1558D4—5841no—
1559D4—1462no—
1560D4—1462no—
1561D4—1461no—
1562D4—1461no—
1563D4—1461no—
1564D4—1461no—
1565D4—1461no—
1566D4—1461no—
1567D4#1455663912yes—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—42no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—2922no—
1579C2×C4—2921no—
1580C2×C4—2922no—
1581C2×C4—5841no—
1582C2×C4—5841no—
1583C2×C4—5841no—
1584C2×C4—5841no—
1585C2×C4—5841no—
1586C2×C4—5841no—
1587C2×C4—5841no—
1588C2×C4—5841no—
1589C2×C4—5841no—
1590C2×C4—5841no—
1591C2×C4—731no—
1592C2×C4—731no—
1593C2×C4—731no—
1594C2×C4—731no—
1595C2×C4—731no—
1596C2×C4—1462no—
1597C2×C4—1461no—
1598C2×C4—1461no—
1599C2×C4—1461no—
1600C2×C4—1461no—
1601C2×C4—1461no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1461no—
1606C2×C4—1461no—
1607C2×C4—1461no—
1608C2×C4C2×D4×D7311yescharacteristic
1609C2×C4C2×D4×D7311yescharacteristic
1610C2×C4C2×D4×D7311yescharacteristic
1611C2×C4C2×D4×D7311yescharacteristic
1612C2×C4C2×D4×D7311yescharacteristic
1613C2×C4C2×D4×D7311yescharacteristic
1614C2×C4C24×D7311yescharacteristic
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—1461no—
1620C8—1461no—
1621C8—1461no—
1622C8—1461no—
1623C22—22no—
1624C22—41no—
1625C22—41no—
1626C22—2921no—
1627C22—2921no—
1628C22—2921no—
1629C22—2921no—
1630C22—2921no—
1631C22—2921no—
1632C22—2921no—
1633C22—2921no—
1634C22—2921no—
1635C22—5844no—
1636C22—732no—
1637C22—11682no—
1638C22—11682no—
1639C22—1461no—
1640C22—1461no—
1641C22—1461no—
1642C22—1461no—
1643C22—1461no—
1644C22—1461no—
1645C22—1461no—
1646C22—1461no—
1647C22C22×D4×D7311yescharacteristic
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—21no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—2921no—
1662C4—2921no—
1663C4—2921no—
1664C4—2921no—
1665C4—2921no—
1666C4—1461no—
1667C4—1461no—
1668C4—1461no—
1669C4—1461no—
1670C4—1461no—
1671C4C2×#1455663911yescharacteristic
1672C4#1798942411yescharacteristic
1673C2—42no—
1674C2—2921no—
1675C2—2921no—
1676C2—5841no—
1677C2—5841no—
1678C2—5841no—
1679C2—1462no—
1680C2#2262360811yescharacteristic
1681C2#577×D7311yescharacteristic
1682C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3388C2
socleC22×C73C23×D4
prime radical#22623964C2
hypercenter#3388D73
hypocenterC73#62164
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3388

Complements

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

NH ≅ G/Ntype
1. #22624527C2semidirect
3. #22622876C2semidirect
4. #22622662C2semidirect
5. #22622660C2semidirect
6. #22622453C2semidirect
7. #22622445C2semidirect
8. #22622423C2semidirect
9. #22622415C2semidirect
10. #22622309C2semidirect
11. #22622307C2semidirect
12. #22621957C2semidirect
13. #22621957C2semidirect
14. #22621949C2semidirect
15. #22621949C2semidirect
16. #22621757C2semidirect
17. #22621752C2semidirect
18. #22621376C2semidirect
19. #22621376C2semidirect
20. #22621246C2semidirect
21. #22621187C2semidirect
22. #22621185C2semidirect
23. #22621122C2semidirect
24. #22620182C2semidirect
25. #22620180C2semidirect
26. #22620028C2semidirect
27. #22619759C2semidirect
28. #22619757C2semidirect
29. #478×D73C2semidirect
30. #22619069C2semidirect
31. C73×#3388C2semidirect
34. #17989315C22semidirect
36. #17989298C22semidirect
37. #17989297C22semidirect
42. #17989278C22semidirect
43. #17989278C22semidirect
44. #17989275C22semidirect
45. #17989275C22semidirect
54. #17989217C22semidirect
56. #17989214C22semidirect
59. #17989195C22semidirect
60. #17989195C22semidirect
66. #17989141C22semidirect
69. #125×D73C22semidirect
75. #17988997C22semidirect
76. #17988993C22semidirect
77. #17988986C22semidirect
78. #17988953C22semidirect
79. #17988953C22semidirect
80. #17988952C22semidirect
81. #17988952C22semidirect
82. #17988935C22semidirect
83. #17988934C22semidirect
84. #17988931C22semidirect
85. #17988930C22semidirect
86. #17988927C22semidirect
87. #17988926C22semidirect
88. #17988924C22semidirect
89. #17988921C22semidirect
90. #17988914C22semidirect
91. #17988914C22semidirect
92. #17988913C22semidirect
93. #17988913C22semidirect
94. #17988907C22semidirect
95. #17988907C22semidirect
96. #17988907C22semidirect
97. #17988907C22semidirect
98. #17988902C22semidirect
99. #17988902C22semidirect
100. #17988902C22semidirect
101. #17988902C22semidirect
102. #17988891C22semidirect
103. #17988891C22semidirect
104. #17988890C22semidirect
105. #17988890C22semidirect
106. #17988890C22semidirect
108. #17988888C22semidirect
109. #17988888C22semidirect
112. #17988886C22semidirect
113. #17988886C22semidirect
114. #17988886C22semidirect
116. #17988884C22semidirect
117. #17988884C22semidirect
119. #17988876C22semidirect
120. #17988876C22semidirect
121. #17988869C22semidirect
122. #17988868C22semidirect
123. #17988866C22semidirect
125. #17988864C22semidirect
126. #17988836C22semidirect
127. #17988836C22semidirect
128. #17988834C22semidirect
129. #17988834C22semidirect
130. #17988819C22semidirect
131. #17988819C22semidirect
132. #17988819C22semidirect
133. #17988819C22semidirect
134. #17988817C22semidirect
135. #17988817C22semidirect
136. #17988817C22semidirect
137. #17988817C22semidirect
138. #17988791C22semidirect
139. #17988791C22semidirect
140. #17988791C22semidirect
142. #17988788C22semidirect
143. #17988788C22semidirect
144. #17988788C22semidirect
145. #17988787C22semidirect
146. #17988787C22semidirect
147. #17988787C22semidirect
154. #17988718C22semidirect
155. #17988689C22semidirect
156. #17988689C22semidirect
159. #17988685C22semidirect
160. #17988685C22semidirect
161. C4×#11924017C22semidirect
162. C4×#11924015C22semidirect
164. #17988660C22semidirect
165. #17988660C22semidirect
166. #17988657C22semidirect
167. #17988657C22semidirect
168. C8×D292C22semidirect
169. #17988652C22semidirect
170. #17988649C22semidirect
171. #17988646C22semidirect
172. #17988642C22semidirect
173. #17988626C22semidirect
174. #17988626C22semidirect
175. #17988624C22semidirect
176. #17988622C22semidirect
177. #107×D73C22semidirect
178. #106×D73C22semidirect
179. #17988612C22semidirect
180. #17988612C22semidirect
181. C4⋊C8×D73C22semidirect
188. #557×C73C22semidirect
190. #501×C73C22semidirect
191. #501×C73C22semidirect
192. #499×C73C22semidirect
193. #479×C73C22semidirect
194. #479×C73C22semidirect
198. #475×C73C22semidirect
199. #446×C73C22semidirect
845. #3388D73semidirect
873. C73#62164semidirect
877. #557C2×D73semidirect
921. #501C2×D73semidirect
922. #501C2×D73semidirect
924. #499C2×D73semidirect
951. #479C2×D73semidirect
952. #479C2×D73semidirect
974. #475C2×D73semidirect
1008. #446C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245272
#226239642
#226228762
#226226622
#226226602
#226224532
#226224452
#226224232
#226224152
#226223092
#226223072
#226219572
#226219492
#226217572
#226217522
#226213762
#226212462
#226211872
#226211852
#226211222
#226201822
#226201802
#226200282
#226197592
#226197572
#478×D732
#226190692
C73×#33882
#6216473