Finite Group Databasebeta

← #33982789

Subgroups — #33982789

Order 18688.

1712 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624578C211yesmaximal, characteristic, complemented
2#22623890C211yesmaximal, characteristic, complemented
3#22622851C211yesmaximal, characteristic, complemented
4#22622825C211yesmaximal, characteristic, complemented
5#22622696C211yesmaximal, characteristic, complemented
6#22622688C211yesmaximal, characteristic, complemented
7#22622482C211yesmaximal, characteristic, complemented
8#22622456C211yesmaximal, characteristic, complemented
9#22622453C211yesmaximal, characteristic, complemented
10#22622426C211yesmaximal, characteristic, complemented
11#22622352C211yesmaximal, characteristic, complemented
12#22622339C211yesmaximal, characteristic, complemented
13#22622094C211yesmaximal, characteristic, complemented
14#22622067C211yesmaximal, characteristic, complemented
15#22621962C211yesmaximal, characteristic, complemented
16#22621958C211yesmaximal, characteristic, complemented
17#22621787C211yesmaximal, characteristic, complemented
18#22621773C211yesmaximal, characteristic, complemented
19#22621390C211yesmaximal, characteristic, complemented
20#22621254C211yesmaximal, characteristic, complemented
21#22621234C211yesmaximal, characteristic, complemented
22#22621208C211yesmaximal, characteristic, complemented
23#22621127C211yesmaximal, characteristic, complemented
24#22620114C211yesmaximal, characteristic, complemented
25#22620109C211yesmaximal, characteristic, complemented
26#22620039C211yesmaximal, characteristic, complemented
27#22619763C211yesmaximal, characteristic, complemented
28#22619757C211yesmaximal, characteristic, complemented
29#22619714C211yesmaximal, characteristic, complemented
30#22619068C211yesmaximal, characteristic, complemented
31C73×#3263C211yesmaximal, characteristic, complemented
32#17989339—21no—
33#17989334—21no—
34#17989319C2211yescharacteristic
35#17989316C2211yescharacteristic, complemented
36#17989308C2211yescharacteristic
37#17989308C2211yescharacteristic, complemented
38#17989304—21no—
39#17989303C2211yescharacteristic
40#17989302C2211yescharacteristic, complemented
41#17989301C2211yescharacteristic
42#17989296C2211yescharacteristic, complemented
43#17989289C2211yescharacteristic, complemented
44#17989284C2211yescharacteristic
45#17989279C2211yescharacteristic
46#17989278C2211yescharacteristic, complemented
47#17989274—21no—
48#17989265—21no—
49#17989264—21no—
50#17989252C2211yescharacteristic
51#17989247—21no—
52#17989230C2211yescharacteristic
53#17989229—21no—
54#17989228C2211yescharacteristic
55#17989221C2211yescharacteristic
56#17989215C2211yescharacteristic, complemented
57#17989214C2211yescharacteristic, complemented
58#17989209C2211yescharacteristic
59#17989206—21no—
60#17989206C2211yescharacteristic, complemented
61#17989201—21no—
62#17989197—21no—
63#17989186—21no—
64#17989176—21no—
65#17989171—21no—
66#17989142C2211yescharacteristic, complemented
67#17989134C2211yescharacteristic
68#17989120—21no—
69#17989116C2211yescharacteristic, complemented
70#17989115C2211yescharacteristic
71#124×D73—21no—
72#17989061C2211yescharacteristic
73#17989059C2211yescharacteristic
74C4×#11924029C2211yescharacteristic
75#17988994C2211yescharacteristic, complemented
76#17988994C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988993C2211yescharacteristic, complemented
79#17988990C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988950C2211yescharacteristic
82#17988950C2211yescharacteristic
83#17988948C2211yescharacteristic, complemented
84#17988946C2211yescharacteristic, complemented
85#17988943C2211yescharacteristic, complemented
86#17988941C2211yescharacteristic, complemented
87#17988927C2211yescharacteristic, complemented
88#17988927C2211yescharacteristic, complemented
89#17988926C2211yescharacteristic, complemented
90#17988925C2211yescharacteristic, complemented
91#17988925C2211yescharacteristic, complemented
92#17988920C2211yescharacteristic, complemented
93#17988916C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic
95#17988913C2211yescharacteristic, complemented
96#17988913C2211yescharacteristic, complemented
97#17988910C2211yescharacteristic, complemented
98#17988910C2211yescharacteristic, complemented
99#17988909C2211yescharacteristic, complemented
100#17988909C2211yescharacteristic, complemented
101#17988908C2211yescharacteristic
102#17988908C2211yescharacteristic, complemented
103#17988907C2211yescharacteristic
104#17988898C2211yescharacteristic
105#17988894C2211yescharacteristic, complemented
106#17988892C2211yescharacteristic, complemented
107#17988892C2211yescharacteristic, complemented
108#17988889C2211yescharacteristic, complemented
109#17988888C2211yescharacteristic
110#17988888C2211yescharacteristic
111#17988888C2211yescharacteristic, complemented
112#17988888C2211yescharacteristic, complemented
113#17988887C2211yescharacteristic, complemented
114#17988886C2211yescharacteristic
115#17988886C2211yescharacteristic
116#17988886C2211yescharacteristic
117#17988882C2211yescharacteristic, complemented
118#17988880C2211yescharacteristic, complemented
119#17988880C2211yescharacteristic, complemented
120#17988878C2211yescharacteristic
121#17988878C2211yescharacteristic, complemented
122#17988876C2211yescharacteristic
123#17988875C2211yescharacteristic, complemented
124#17988874C2211yescharacteristic, complemented
125#17988868C2211yescharacteristic
126#17988868C2211yescharacteristic, complemented
127#17988867C2211yescharacteristic, complemented
128#17988865C2211yescharacteristic, complemented
129#17988865C2211yescharacteristic, complemented
130#17988864C2211yescharacteristic
131#17988836C2211yescharacteristic
132#17988830C2211yescharacteristic, complemented
133#17988825C2211yescharacteristic, complemented
134#17988822C2211yescharacteristic
135#17988822C2211yescharacteristic, complemented
136#17988820C2211yescharacteristic, complemented
137#17988819C2211yescharacteristic, complemented
138#17988813C2211yescharacteristic, complemented
139#17988811C2211yescharacteristic, complemented
140#17988804C2211yescharacteristic, complemented
141#17988799C2211yescharacteristic
142#17988799C2211yescharacteristic, complemented
143#17988785C2211yescharacteristic
144#17988780C2211yescharacteristic
145#17988748C2211yescharacteristic
146#17988737C2211yescharacteristic
147#17988736C2211yescharacteristic
148#17988731C2211yescharacteristic
149#17988720C2211yescharacteristic
150#17988719C2211yescharacteristic
151#17988716C2211yescharacteristic, complemented
152#17988714C2211yescharacteristic, complemented
153#17988699C2211yescharacteristic, complemented
154#17988697C2211yescharacteristic
155#17988696C2211yescharacteristic
156#17988694C2211yescharacteristic, complemented
157#17988690C2211yescharacteristic
158#17988690C2211yescharacteristic
159#17988688C2211yescharacteristic, complemented
160#17988685C2211yescharacteristic, complemented
161SD16×Dic73C2211yescharacteristic, complemented
162C4×#11924015C2211yescharacteristic
163C4×#11924013C2211yescharacteristic, complemented
164#17988667C2211yescharacteristic
165#17988658C2211yescharacteristic
166#17988657C2211yescharacteristic, complemented
167#17988656C2211yescharacteristic
168#17988656C2211yescharacteristic, complemented
169#17988652C2211yescharacteristic, complemented
170C8×C22⋊D73C2211yescharacteristic, complemented
171#17988648C2211yescharacteristic, complemented
172#17988647C2211yescharacteristic, complemented
173#17988643C2211yescharacteristic, complemented
174#17988629C2211yescharacteristic, complemented
175#17988626C2211yescharacteristic, complemented
176#17988625C2211yescharacteristic, complemented
177#17988622C2211yescharacteristic, complemented
178#17988622C2211yescharacteristic, complemented
179#17988622C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic
183#17988590C2211yescharacteristic
184#17988582C2211yescharacteristic
185#17988582C2211yescharacteristic
186C2×#14556513C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#542×C73C2211yescharacteristic
189#542×C73C2211yescharacteristic, complemented
190#476×C73C2211yescharacteristic, complemented
191#476×C73C2211yescharacteristic, complemented
192#475×C73C2211yescharacteristic, complemented
193#475×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#469×C73C2211yescharacteristic
196#465×C73C2211yescharacteristic
197#465×C73C2211yescharacteristic, complemented
198#464×C73C2211yescharacteristic, complemented
199#464×C73C2211yescharacteristic, complemented
200#463×C73C2211yescharacteristic, complemented
201#463×C73C2211yescharacteristic, complemented
202#424×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×Q8×D73—21no—
206C22×D292C2311yescharacteristic
207C2×D4×D73—21no—
208C2×D4×D73C2311yescharacteristic
209C2×#11924015C2311yescharacteristic
210C2×#11924015C2311yescharacteristic
211C2×#11924013C2311yescharacteristic
212C2×#11924013C2311yescharacteristic
213C2×#11924011C2311yescharacteristic
214C2×C8×D73C2311yescharacteristic
215C2×C8×D73C2311yescharacteristic
216C2×C8×D73C2311yescharacteristic
217#14556591—21no—
218#14556591C2311yescharacteristic
219#14556591C2311yescharacteristic
220#14556590—21no—
221#14556590C2311yescharacteristic
222#14556590C2311yescharacteristic
223#14556590C2311yescharacteristic
224#14556589—21no—
225#14556587C2311yescharacteristic
226#14556586—21no—
227#14556586—21no—
228#14556586—21no—
229#14556586D411yescharacteristic
230#14556585—21no—
231#14556585—21no—
232#14556584—21no—
233#14556584—21no—
234#14556584—21no—
235#14556584—21no—
236#14556584—21no—
237#14556584—21no—
238#14556584D411yescharacteristic
239#14556583C2311yescharacteristic
240#14556583C2311yescharacteristic
241#14556582—21no—
242#14556582—21no—
243#14556582—21no—
244#14556582—21no—
245#14556582C2311yescharacteristic
246#14556582C2311yescharacteristic
247#14556582C2311yescharacteristic
248#14556581—21no—
249#14556581—21no—
250#14556581D411yescharacteristic
251#14556580—21no—
252#14556580—21no—
253#14556580C2311yescharacteristic
254#14556579—21no—
255#14556578—21no—
256#14556577—21no—
257#14556577—21no—
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577D411yescharacteristic
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576D411yescharacteristic
269#14556575—21no—
270#14556575—21no—
271#14556575—21no—
272#14556575—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573D411yescharacteristic
277#14556572—21no—
278#14556571—21no—
279#14556570—21no—
280#14556569—21no—
281#14556569—21no—
282#14556569—21no—
283#14556569—21no—
284#14556569D411yescharacteristic
285#14556568—21no—
286#14556568—21no—
287#14556568—21no—
288#14556568—21no—
289#14556568—21no—
290#14556567—21no—
291#14556567—21no—
292#14556567—21no—
293#14556567C2311yescharacteristic
294#14556567C2311yescharacteristic
295#14556567C2311yescharacteristic
296#14556566—21no—
297#14556566—21no—
298#14556566C2311yescharacteristic
299#14556566C2311yescharacteristic
300#14556565—21no—
301#14556564—21no—
302#14556564—21no—
303#14556564—21no—
304#14556564D411yescharacteristic
305#14556563—21no—
306#14556563—21no—
307#14556562—21no—
308#14556562C2311yescharacteristic
309#14556562C2311yescharacteristic
310#14556562C2311yescharacteristic
311#14556561—21no—
312#14556561—21no—
313#14556561—21no—
314#14556559—21no—
315Q8×Dic73—21no—
316Q8×Dic73C2311yescharacteristic
317Q8×Dic73C2311yescharacteristic
318Q8×Dic73C2311yescharacteristic
319C4×Dic146—21no—
320C4×Dic146C2311yescharacteristic
321#14556556—21no—
322#14556556—21no—
323#14556556—21no—
324C4×D292—21no—
325C4×D292C2311yescharacteristic
326C4×D292C2311yescharacteristic
327C4×D292C2311yescharacteristic
328C4×D292C2311yescharacteristic
329C4×D292C2311yescharacteristic
330D4×Dic73—21no—
331D4×Dic73C2311yescharacteristic
332D4×Dic73C2311yescharacteristic
333D4×Dic73C2311yescharacteristic
334#14556553—21no—
335#14556553—21no—
336#14556553—21no—
337#14556553C2311yescharacteristic
338#14556553C2311yescharacteristic
339C4×C22⋊D73—21no—
340C4×C22⋊D73—21no—
341C4×C22⋊D73C2311yescharacteristic
342C4×C22⋊D73C2311yescharacteristic
343#14556551—21no—
344#14556551—21no—
345#14556551—21no—
346#14556551—21no—
347#14556550—21no—
348#14556550C2311yescharacteristic
349#14556550C2311yescharacteristic
350#14556549—21no—
351#14556549—21no—
352#14556549C2311yescharacteristic
353#14556549C2311yescharacteristic
354#14556549C2311yescharacteristic
355#14556549C2311yescharacteristic
356#14556549C2311yescharacteristic
357#14556548—21no—
358#14556548C2311yescharacteristic
359#14556547—21no—
360#14556547—21no—
361#14556547—21no—
362C2×C4⋊Dic73C2311yescharacteristic
363C2×#11924007—21no—
364C4⋊C4×D73C2311yescharacteristic
365C2×#11924005—21no—
366C22⋊C4×D73—21no—
367C22⋊C4×D73—21no—
368C22⋊C4×D73—21no—
369C22⋊C4×D73—21no—
370C22⋊C4×D73—21no—
371C42×D73—21no—
372C42×D73C2311yescharacteristic
373#14556525C2311yescharacteristic
374#14556525C2311yescharacteristic
375#14556525C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393C4⋊#10596831C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556515C2311yescharacteristic
400#14556515C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423C22⋊#10596831C2311yescharacteristic
424C22⋊#10596831C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×Q16×C73C2311yescharacteristic
436C2×SD16×C73C2311yescharacteristic
437C2×SD16×C73C2311yescharacteristic
438C2×D8×C73C2311yescharacteristic
439C2×M16×C73C2311yescharacteristic
440C22×C8×C73C2311yescharacteristic
441C4⋊Q8×C73C2311yescharacteristic
442C4⋊Q8×C73C2311yescharacteristic
443#126×C73—21no—
444#126×C73—21no—
445#124×C73—21no—
446#124×C73—21no—
447#124×C73C2311yescharacteristic
448#124×C73C2311yescharacteristic
449#123×C73—21no—
450#123×C73—21no—
451C22⋊Q8×C73—21no—
452C22⋊Q8×C73—21no—
453C22⋊Q8×C73C2311yescharacteristic
454C22⋊Q8×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456#121×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×Q8×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461#117×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466C4⋊C8×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C23×D73—21no—
479C23×D73—21no—
480#11924029—22no—
481#11924029—41no—
482#11924028—82no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146C2×D411yescharacteristic
489Q8×D73—82no—
490C2×D292—22no—
491C2×D292—21no—
492C2×D292—21no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292—41no—
496C2×D292C2×D411yescharacteristic
497C2×D292C2411yescharacteristic
498C2×D292C2411yescharacteristic
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73C2×D411yescharacteristic
506C2×C22⋊D73C2×D411yescharacteristic
507D4×D73—22no—
508D4×D73—41no—
509D4×D73—82no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73C2×D411yescharacteristic
523C2×C4×D73C2×D411yescharacteristic
524C2×C4×D73C2411yescharacteristic
525C2×C4×D73C2411yescharacteristic
526#11924015—22no—
527#11924015—41no—
528#11924013—22no—
529#11924013—41no—
530#11924011—41no—
531C2×#10596831C2411yescharacteristic
532C2×#10596831C2411yescharacteristic
533C2×#10596831C2411yescharacteristic
534C2×#10596831C2411yescharacteristic
535C8×D73—41no—
536C8×D73—41no—
537C8×D73—41no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73C2×D411yescharacteristic
548C4⋊Dic73C2×D411yescharacteristic
549C4⋊Dic73C2411yescharacteristic
550C4⋊Dic73C2411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
553C4⋊Dic73C2411yescharacteristic
554C4⋊Dic73C2411yescharacteristic
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007C2×D411yescharacteristic
570#11924007C2×D411yescharacteristic
571#11924007C2×D411yescharacteristic
572#11924007C2×D411yescharacteristic
573#11924007C2×D411yescharacteristic
574#11924007C2×D411yescharacteristic
575C22⋊Dic73—21no—
576C22⋊Dic73—21no—
577C22⋊Dic73—21no—
578C22⋊Dic73—21no—
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73C2×D411yescharacteristic
584C22⋊Dic73C2×D411yescharacteristic
585#11924005—21no—
586#11924005—21no—
587#11924005—21no—
588#11924005—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#11924005C2×D411yescharacteristic
604#11924005C2×D411yescharacteristic
605#11924005C2×D411yescharacteristic
606#11924005C2×D411yescharacteristic
607#11924005C2×D411yescharacteristic
608#11924005C2×D411yescharacteristic
609C4×Dic73—21no—
610C4×Dic73—21no—
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73C2×D411yescharacteristic
620C4×Dic73C2×D411yescharacteristic
621C4×Dic73C2411yescharacteristic
622C4×Dic73C2411yescharacteristic
623C2×Q8×C73—21no—
624C2×Q8×C73—21no—
625C2×Q8×C73C2411yescharacteristic
626C2×Q8×C73C2411yescharacteristic
627C2×D4×C73—21no—
628C2×D4×C73—21no—
629C2×D4×C73C2411yescharacteristic
630C2×D4×C73C2411yescharacteristic
631C22×C4×C73—21no—
632C22×C4×C73—21no—
633C22×C4×C73C2411yescharacteristic
634Q16×C73—41no—
635SD16×C73—41no—
636SD16×C73—41no—
637D8×C73—41no—
638M16×C73—41no—
639C2×C8×C73—41no—
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×C73C2×D411yescharacteristic
651C4⋊C4×C73C2×D411yescharacteristic
652C4⋊C4×C73C2411yescharacteristic
653C4⋊C4×C73C2411yescharacteristic
654C4⋊C4×C73C2411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C22⋊C4×C73—21no—
657C22⋊C4×C73—21no—
658C22⋊C4×C73—21no—
659C22⋊C4×C73—21no—
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73C2×D411yescharacteristic
667C22⋊C4×C73C2×D411yescharacteristic
668C42×C73—21no—
669C42×C73—21no—
670C42×C73C2411yescharacteristic
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73—21no—
674C23×C73C22×D411yescharacteristic
675C22×D73—21no—
676C22×D73—21no—
677C22×D73—42no—
678C22×D73—42no—
679C22×D73—81no—
680C22×D73—81no—
681C22×D73—81no—
682C22×D73—81no—
683C22×D73C22×D411yescharacteristic
684C22×D73C22×D411yescharacteristic
685Q8×C73—21no—
686Q8×C73—21no—
687Q8×C73—21no—
688Q8×C73—21no—
689Q8×C73—81no—
690Q8×C73—81no—
691D4×C73—21no—
692D4×C73—21no—
693D4×C73—21no—
694D4×C73—21no—
695D4×C73—81no—
696D4×C73—81no—
697C2×C4×C73—21no—
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—81no—
706C2×C4×C73—81no—
707C2×C4×C73C22×D411yescharacteristic
708C2×C4×C73C22×D411yescharacteristic
709C2×C4×C73C22×D411yescharacteristic
710C2×C4×C73C22×D411yescharacteristic
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C2511yescharacteristic
713C22⋊D73—41no—
714C22⋊D73—41no—
715C22⋊D73—42no—
716C22⋊D73—42no—
717C22⋊D73—81no—
718C22⋊D73—81no—
719C22⋊D73—81no—
720C22⋊D73—81no—
721C2×Dic73—21no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—81no—
728C2×Dic73—81no—
729C2×Dic73—81no—
730C2×Dic73—81no—
731C2×Dic73C22×D411yescharacteristic
732C2×Dic73C22×D411yescharacteristic
733C2×Dic73C22×D411yescharacteristic
734C2×Dic73C22×D411yescharacteristic
735C2×Dic73C22×D411yescharacteristic
736C2×Dic73C22×D411yescharacteristic
737D292—21no—
738D292—21no—
739D292—21no—
740D292—41no—
741D292—42no—
742D292—42no—
743D292—81no—
744D292—81no—
745D2922−1+412yes—
746C4×D73—21no—
747C4×D73—21no—
748C4×D73—21no—
749C4×D73—21no—
750C4×D73—41no—
751C4×D73—41no—
752C4×D73—42no—
753C4×D73—42no—
754C4×D73—81no—
755C4×D73—81no—
756C4×D73—81no—
757C4×D73—81no—
758C4×D73—81no—
759C4×D73—81no—
760Dic146—41no—
761Dic146—42no—
762Dic146—81no—
763Dic146—81no—
764Dic146—81no—
765Dic146—81no—
766C8×C73—21no—
767C8×C73—21no—
768C8×C73—21no—
769C8×C73—21no—
770#10596831—21no—
771#10596831—21no—
772#10596831—21no—
773#10596831—21no—
774C22×C73—21no—
775C22×C73—21no—
776C22×C73—21no—
777C22×C73—41no—
778C22×C73—41no—
779C22×C73—41no—
780C22×C73—41no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73C23×D411yescharacteristic
784C2×D73—21no—
785C2×D73—21no—
786C2×D73—21no—
787C2×D73—21no—
788C2×D73—21no—
789C2×D73—21no—
790C2×D73—22no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—162no—
797C2×D73—162no—
798C4×C73—21no—
799C4×C73—21no—
800C4×C73—21no—
801C4×C73—21no—
802C4×C73—21no—
803C4×C73—41no—
804C4×C73—41no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73—41no—
808C4×C73—41no—
809C4×C73C2×2−1+411yescharacteristic
810C4×C73#58511yescharacteristic
811Dic73—21no—
812Dic73—21no—
813Dic73—21no—
814Dic73—21no—
815Dic73—21no—
816Dic73—21no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823#62159—731nomaximal, Sylow
824C2×C73—41no—
825C2×C73—81no—
826C2×C73—81no—
827C2×C73#348911yescharacteristic
828C2×C73#358411yescharacteristic
829C2×C73#358511yescharacteristic
830D73—41no—
831D73—41no—
832D73—42no—
833D73—81no—
834#3565—731no—
835#3514—731no—
836#3386—731no—
837#3384—731no—
838#3371—731no—
839#3370—731no—
840#3350—731no—
841#3349—731no—
842#3348—731no—
843#3347—731no—
844#3341—731no—
845#3340—731no—
846#3319—731no—
847#3318—731no—
848#3311—731no—
849#3310—731no—
850#3297—731no—
851#3296—731no—
852#3263D7311yescharacteristic, complemented
853#3262—731no—
854#3247—731no—
855#3244—731no—
856#3243—731no—
857#3235—731no—
858#3118—731no—
859#3118—731no—
860#3111—731no—
861#3081—731no—
862#3081—731no—
863#3076—731no—
864#2992—731no—
865C73#6215911yescharacteristic, complemented, Sylow
866#563—1461no—
867#562—1461no—
868#559—731no—
869#557—731no—
870#556—731no—
871#556—731no—
872#556—1461no—
873#555—731no—
874#555—731no—
875#555—731no—
876#554—731no—
877#553—731no—
878#553—731no—
879#552—731no—
880#552—731no—
881#552—1461no—
882#551—1461no—
883#551—1461no—
884D4×Q8—731no—
885#548—1461no—
886#546—731no—
887#546—731no—
888#546—1461no—
889D42—731no—
890#544—731no—
891#544—731no—
892#542—731no—
893#542—731no—
894#542—1461no—
895#542—1461no—
896#542C2×D7311yescharacteristic
897#542C2×D7311yescharacteristic, complemented
898#541—1461no—
899#539—1461no—
900#538—1461no—
901#538—1461no—
902#533—731no—
903#532—731no—
904#529—731no—
905#529—731no—
906#529—1461no—
907C2×#124—1461no—
908#518—731no—
909#518—731no—
910C4×#41—731no—
911#501—731no—
912#501—731no—
913#501—731no—
914#501—731no—
915#500—731no—
916#498—731no—
917#490—731no—
918#490—731no—
919#489—731no—
920#489—731no—
921#488—731no—
922#488—731no—
923#485—731no—
924#485—731no—
925#485—731no—
926#485—731no—
927#485—731no—
928#484—731no—
929#483—731no—
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#482—731no—
935#482—731no—
936#482—731no—
937#482—731no—
938#482—731no—
939#481—731no—
940#480—731no—
941#479—731no—
942#479—731no—
943#479—731no—
944#478—731no—
945#478—731no—
946#478—731no—
947#478—731no—
948#478—731no—
949#478—731no—
950#478—731no—
951#478—731no—
952#478—731no—
953#477—731no—
954#477—731no—
955#477—731no—
956#476—731no—
957#476—731no—
958#476—731no—
959#476—731no—
960#476—731no—
961#476C2×D7311yescharacteristic, complemented
962#476C2×D7311yescharacteristic, complemented
963#475C2×D7311yescharacteristic, complemented
964#475C2×D7311yescharacteristic, complemented
965#474—731no—
966#474—731no—
967#474—731no—
968#474—731no—
969#474—731no—
970#474—731no—
971#470C2×D7311yescharacteristic, complemented
972#469C2×D7311yescharacteristic
973#468—731no—
974#468—731no—
975#467—731no—
976#466—731no—
977#466—731no—
978#466—731no—
979#465—731no—
980#465—731no—
981#465C2×D7311yescharacteristic
982#465C2×D7311yescharacteristic, complemented
983#464—731no—
984#464C2×D7311yescharacteristic, complemented
985#464C2×D7311yescharacteristic, complemented
986#463—731no—
987#463—731no—
988#463—731no—
989#463C2×D7311yescharacteristic, complemented
990#463C2×D7311yescharacteristic, complemented
991#460—731no—
992#459—731no—
993#452—731no—
994#450—731no—
995#450—731no—
996#449—731no—
997#447—731no—
998#447—731no—
999#446—731no—
1000#446—731no—
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#441—731no—
1005#440—731no—
1006#440—731no—
1007#440—731no—
1008#440—731no—
1009C4×SD16—731no—
1010C4×SD16—731no—
1011C4×D8—731no—
1012C4×D8—731no—
1013#435—731no—
1014#435—731no—
1015#435—731no—
1016#435—731no—
1017C8×D4—731no—
1018C8×D4—731no—
1019#433—731no—
1020#433—731no—
1021#432—731no—
1022#428—731no—
1023#428—731no—
1024#427—731no—
1025#427—731no—
1026#427—731no—
1027#427—731no—
1028#424—731no—
1029#424C2×D7311yescharacteristic, complemented
1030C2×C4⋊C8—731no—
1031#418—731no—
1032#418—731no—
1033#416—731no—
1034#416—731no—
1035C2×#102—731no—
1036C2×#102—731no—
1037C2×#41—731no—
1038C2×#41—1461no—
1039C22×Q8—1461no—
1040C22×D4—731no—
1041C22×D4—731no—
1042C22×D4—1461no—
1043C2×Q16C22×D7311yescharacteristic
1044C2×SD16—731no—
1045C2×SD16—731no—
1046C2×SD16C22×D7311yescharacteristic
1047C2×SD16C22×D7311yescharacteristic
1048C2×D8—731no—
1049C2×D8—731no—
1050C2×D8C22×D7311yescharacteristic
1051C2×M16—731no—
1052C2×M16C22×D7311yescharacteristic
1053C22×C8—731no—
1054C22×C8—731no—
1055C22×C8—731no—
1056C22×C8C22×D7311yescharacteristic
1057C4⋊Q8—731no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—731no—
1061C4⋊Q8—731no—
1062C4⋊Q8—1461no—
1063C4⋊Q8—1461no—
1064C4⋊Q8—1461no—
1065C4⋊Q8C22×D7311yescharacteristic
1066C4⋊Q8C22×D7311yescharacteristic
1067#127—731no—
1068#126—21no—
1069#126—21no—
1070#126—731no—
1071#126—731no—
1072#126—1461no—
1073#126—1461no—
1074#126—1461no—
1075#126—1461no—
1076#126—1461no—
1077#126—1461no—
1078#126—1461no—
1079#126—1461no—
1080#126—1461no—
1081#126—1461no—
1082#126—1461no—
1083#125—731no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—731no—
1088#125—731no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125—1461no—
1094#125—1461no—
1095#124—21no—
1096#124—21no—
1097#124—731no—
1098#124—731no—
1099#124—1461no—
1100#124—1461no—
1101#124—1461no—
1102#124—1461no—
1103#124—1461no—
1104#124—1461no—
1105#124—1461no—
1106#124—1461no—
1107#124—1461no—
1108#124—1461no—
1109#124—1461no—
1110#124—1461no—
1111#124C22×D7311yescharacteristic
1112#124C22×D7311yescharacteristic
1113#123—21no—
1114#123—21no—
1115#123—731no—
1116#123—731no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—731no—
1131C22⋊Q8—731no—
1132C22⋊Q8—731no—
1133C22⋊Q8—731no—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8C22×D7311yescharacteristic
1149C22⋊Q8C22×D7311yescharacteristic
1150#121—731no—
1151#121—731no—
1152#121—731no—
1153#121—731no—
1154#121—731no—
1155#121—731no—
1156#121—1461no—
1157#121—1461no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121C22×D7311yescharacteristic
1166#121C22×D7311yescharacteristic
1167#120—1461no—
1168#120—1461no—
1169#120—1461no—
1170#120—1461no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—1461no—
1176C4×Q8—1461no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8—1461no—
1180C4×Q8C22×D7311yescharacteristic
1181C4×Q8C22×D7311yescharacteristic
1182C4×D4—731no—
1183C4×D4—731no—
1184C4×D4—731no—
1185C4×D4—731no—
1186C4×D4—731no—
1187C4×D4—731no—
1188C4×D4—731no—
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—1461no—
1195C4×D4—1461no—
1196C4×D4—1461no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4C22×D7311yescharacteristic
1206C4×D4C22×D7311yescharacteristic
1207#117—731no—
1208#117—731no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—731no—
1213#117—731no—
1214#117—731no—
1215#117—1461no—
1216#117—1461no—
1217#117—1461no—
1218#117—1461no—
1219#117—1461no—
1220#117—1461no—
1221#117—1461no—
1222#117C22×D7311yescharacteristic
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—731no—
1225C2×C4⋊C4—1461no—
1226C2×C22⋊C4—1461no—
1227C2×C22⋊C4—1461no—
1228C2×C22⋊C4—1461no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C22⋊C4—1461no—
1232C2×C42—731no—
1233C2×C42—1461no—
1234#107—731no—
1235#107—731no—
1236#107—731no—
1237#107—731no—
1238#107—731no—
1239#107—731no—
1240#107—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107—731no—
1246#106—731no—
1247#106—731no—
1248#106—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106C22×D7311yescharacteristic
1255#106C22×D7311yescharacteristic
1256#106C22×D7311yescharacteristic
1257#106C22×D7311yescharacteristic
1258C4⋊C8—731no—
1259C4⋊C8—731no—
1260C4⋊C8—731no—
1261C4⋊C8—731no—
1262C4⋊C8—731no—
1263C4⋊C8—731no—
1264C4⋊C8C22×D7311yescharacteristic
1265C4⋊C8C22×D7311yescharacteristic
1266C4⋊C8C22×D7311yescharacteristic
1267C4⋊C8C22×D7311yescharacteristic
1268#103—731no—
1269#103—731no—
1270#103—731no—
1271#103—731no—
1272#103—731no—
1273#103—731no—
1274#103C22×D7311yescharacteristic
1275#103C22×D7311yescharacteristic
1276#103C22×D7311yescharacteristic
1277#103C22×D7311yescharacteristic
1278#102—731no—
1279#102—731no—
1280#102—731no—
1281#102—731no—
1282#102—731no—
1283#102—731no—
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#102C22×D7311yescharacteristic
1297#102C22×D7311yescharacteristic
1298#102C22×D7311yescharacteristic
1299#102C22×D7311yescharacteristic
1300C22⋊C8—731no—
1301C22⋊C8—731no—
1302C22⋊C8—731no—
1303C22⋊C8—731no—
1304C22⋊C8—731no—
1305C22⋊C8—731no—
1306#97—731no—
1307#97—731no—
1308#97—731no—
1309#97—731no—
1310C4×C8—731no—
1311C4×C8—731no—
1312C24—1461no—
1313C24—1461no—
1314#41—2921no—
1315#41—5842no—
1316#41—1462no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—5842no—
1320C2×Q8—731no—
1321C2×Q8—1461no—
1322C2×Q8—1461no—
1323C2×Q8—1461no—
1324C2×Q8—1461no—
1325C2×Q8—1461no—
1326C2×Q8C23×D7311yescharacteristic
1327C2×Q8C23×D7311yescharacteristic
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—2921no—
1331C2×D4—2921no—
1332C2×D4—5842no—
1333C2×D4—731no—
1334C2×D4—731no—
1335C2×D4—731no—
1336C2×D4—731no—
1337C2×D4—731no—
1338C2×D4—1461no—
1339C2×D4—1462no—
1340C2×D4—1461no—
1341C2×D4—1461no—
1342C2×D4—1461no—
1343C2×D4—1461no—
1344C2×D4—1461no—
1345C2×D4—1462no—
1346C2×D4—1461no—
1347C2×D4—1461no—
1348C2×D4—1461no—
1349C2×D4—1461no—
1350C2×D4C23×D7311yescharacteristic
1351C2×D4C23×D7311yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—731no—
1355C22×C4—731no—
1356C22×C4—731no—
1357C22×C4—731no—
1358C22×C4—1461no—
1359C22×C4—1461no—
1360C22×C4—1461no—
1361C22×C4—1461no—
1362C22×C4—1461no—
1363C22×C4—1461no—
1364C22×C4—1461no—
1365C22×C4—1461no—
1366C22×C4—1461no—
1367C22×C4—1461no—
1368C22×C4—1461no—
1369C22×C4—1461no—
1370C22×C4C23×D7311yescharacteristic
1371Q16—41no—
1372SD16—41no—
1373SD16—41no—
1374SD16—2921no—
1375SD16—1462no—
1376D8—41no—
1377D8—2921no—
1378D8—1462no—
1379M16—41no—
1380M16—2921no—
1381C2×C8—41no—
1382C2×C8—2921no—
1383C2×C8—2921no—
1384C2×C8—2921no—
1385C2×C8—731no—
1386C2×C8—731no—
1387C2×C8—731no—
1388C2×C8—731no—
1389C2×C8C23×D7311yescharacteristic
1390C2×C8C23×D7311yescharacteristic
1391C2×C8C23×D7311yescharacteristic
1392C2×C8C23×D7311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—731no—
1400C4⋊C4—731no—
1401C4⋊C4—731no—
1402C4⋊C4—731no—
1403C4⋊C4—731no—
1404C4⋊C4—731no—
1405C4⋊C4—731no—
1406C4⋊C4—731no—
1407C4⋊C4—731no—
1408C4⋊C4—731no—
1409C4⋊C4—731no—
1410C4⋊C4—731no—
1411C4⋊C4—731no—
1412C4⋊C4—731no—
1413C4⋊C4—1461no—
1414C4⋊C4—1461no—
1415C4⋊C4—1461no—
1416C4⋊C4—1461no—
1417C4⋊C4—1461no—
1418C4⋊C4—1461no—
1419C4⋊C4—1461no—
1420C4⋊C4—1461no—
1421C4⋊C4—1461no—
1422C4⋊C4—1461no—
1423C4⋊C4—1461no—
1424C4⋊C4—1461no—
1425C4⋊C4—1461no—
1426C4⋊C4—1461no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4D4×D7311yescharacteristic
1437C4⋊C4D4×D7311yescharacteristic
1438C4⋊C4C23×D7311yescharacteristic
1439C4⋊C4C23×D7311yescharacteristic
1440C4⋊C4C23×D7311yescharacteristic
1441C4⋊C4C23×D7311yescharacteristic
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—731no—
1453C22⋊C4—731no—
1454C22⋊C4—731no—
1455C22⋊C4—731no—
1456C22⋊C4—731no—
1457C22⋊C4—731no—
1458C22⋊C4—731no—
1459C22⋊C4—731no—
1460C22⋊C4—1461no—
1461C22⋊C4—1461no—
1462C22⋊C4—1461no—
1463C22⋊C4—1461no—
1464C22⋊C4—1461no—
1465C22⋊C4—1461no—
1466C22⋊C4—1461no—
1467C22⋊C4—1461no—
1468C22⋊C4—1461no—
1469C22⋊C4—1461no—
1470C22⋊C4—1461no—
1471C22⋊C4—1461no—
1472C22⋊C4—1461no—
1473C22⋊C4—1461no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1487C22⋊C4D4×D7311yescharacteristic
1488C42—21no—
1489C42—21no—
1490C42—731no—
1491C42—731no—
1492C42—731no—
1493C42—731no—
1494C42—1461no—
1495C42—1461no—
1496C42—1461no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42—1461no—
1503C42—1461no—
1504C42C23×D7311yescharacteristic
1505C42C23×D7311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—2922no—
1509C23—2922no—
1510C23—5841no—
1511C23—5841no—
1512C23—5841no—
1513C23—5841no—
1514C23—731no—
1515C23—731no—
1516C23—1461no—
1517C23—1461no—
1518C23C2×D4×D7311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—81no—
1524Q8—81no—
1525Q8—2921no—
1526Q8—2922no—
1527Q8—5841no—
1528Q8—5841no—
1529Q8—5841no—
1530Q8—5841no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—21no—
1535D4—81no—
1536D4—81no—
1537D4—2922no—
1538D4—2921no—
1539D4—2922no—
1540D4—2921no—
1541D4—2921no—
1542D4—2922no—
1543D4—2922no—
1544D4—5841no—
1545D4—5841no—
1546D4—5841no—
1547D4—5841no—
1548D4—5841no—
1549D4—5841no—
1550D4—732no—
1551D4—1461no—
1552D4—1461no—
1553D4—1461no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—2921no—
1565C2×C4—2921no—
1566C2×C4—2922no—
1567C2×C4—2922no—
1568C2×C4—5841no—
1569C2×C4—5841no—
1570C2×C4—5841no—
1571C2×C4—5841no—
1572C2×C4—5841no—
1573C2×C4—5841no—
1574C2×C4—5841no—
1575C2×C4—5841no—
1576C2×C4—5841no—
1577C2×C4—5841no—
1578C2×C4—731no—
1579C2×C4—731no—
1580C2×C4—731no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—731no—
1584C2×C4—1461no—
1585C2×C4—1461no—
1586C2×C4—1461no—
1587C2×C4—1461no—
1588C2×C4—1461no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4—1461no—
1593C2×C4—1461no—
1594C2×C4C2×D4×D7311yescharacteristic
1595C2×C4C2×D4×D7311yescharacteristic
1596C2×C4C2×D4×D7311yescharacteristic
1597C2×C4C2×D4×D7311yescharacteristic
1598C2×C4C2×D4×D7311yescharacteristic
1599C2×C4C24×D7311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1461no—
1605C8—1461no—
1606C8—1461no—
1607C8—1461no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—2921no—
1618C22—2921no—
1619C22—2921no—
1620C22—2921no—
1621C22—2921no—
1622C22—11682no—
1623C22—11682no—
1624C22—1462no—
1625C22—1461no—
1626C22—1461no—
1627C22—1461no—
1628C22—1461no—
1629C22—1461no—
1630C22—1461no—
1631C22C22×D4×D7311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—2921no—
1649C4—1461no—
1650C4—1461no—
1651C4—1461no—
1652C4—1461no—
1653C4—1461no—
1654C4—1461no—
1655C42−1+4×D7311yescharacteristic
1656C4#1798942211yescharacteristic
1657C2—41no—
1658C2—81no—
1659C2—81no—
1660C2—2922no—
1661C2—2921no—
1662C2—2921no—
1663C2—5841no—
1664C2#2262360611yescharacteristic
1665C2#2262470311yescharacteristic
1666C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3263C2
socleC22×C73C23×D4
hypercenter#3263D73
hypocenterC73#62159
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3263

Complements

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

NH ≅ G/Ntype
1. #22624578C2semidirect
2. #22623890C2semidirect
3. #22622851C2semidirect
4. #22622825C2semidirect
5. #22622696C2semidirect
6. #22622688C2semidirect
7. #22622482C2semidirect
8. #22622456C2semidirect
9. #22622453C2semidirect
10. #22622426C2semidirect
11. #22622352C2semidirect
12. #22622339C2semidirect
13. #22622094C2semidirect
14. #22622067C2semidirect
15. #22621962C2semidirect
16. #22621958C2semidirect
17. #22621787C2semidirect
18. #22621773C2semidirect
19. #22621390C2semidirect
20. #22621254C2semidirect
21. #22621234C2semidirect
22. #22621208C2semidirect
23. #22621127C2semidirect
24. #22620114C2semidirect
25. #22620109C2semidirect
26. #22620039C2semidirect
27. #22619763C2semidirect
28. #22619757C2semidirect
29. #22619714C2semidirect
30. #22619068C2semidirect
31. C73×#3263C2semidirect
35. #17989316C22semidirect
37. #17989308C22semidirect
40. #17989302C22semidirect
42. #17989296C22semidirect
43. #17989289C22semidirect
46. #17989278C22semidirect
56. #17989215C22semidirect
57. #17989214C22semidirect
60. #17989206C22semidirect
66. #17989142C22semidirect
69. #17989116C22semidirect
75. #17988994C22semidirect
76. #17988994C22semidirect
77. #17988994C22semidirect
78. #17988993C22semidirect
79. #17988990C22semidirect
80. #17988984C22semidirect
83. #17988948C22semidirect
84. #17988946C22semidirect
85. #17988943C22semidirect
86. #17988941C22semidirect
87. #17988927C22semidirect
88. #17988927C22semidirect
89. #17988926C22semidirect
90. #17988925C22semidirect
91. #17988925C22semidirect
92. #17988920C22semidirect
93. #17988916C22semidirect
95. #17988913C22semidirect
96. #17988913C22semidirect
97. #17988910C22semidirect
98. #17988910C22semidirect
99. #17988909C22semidirect
100. #17988909C22semidirect
102. #17988908C22semidirect
105. #17988894C22semidirect
106. #17988892C22semidirect
107. #17988892C22semidirect
108. #17988889C22semidirect
111. #17988888C22semidirect
112. #17988888C22semidirect
113. #17988887C22semidirect
117. #17988882C22semidirect
118. #17988880C22semidirect
119. #17988880C22semidirect
121. #17988878C22semidirect
123. #17988875C22semidirect
124. #17988874C22semidirect
126. #17988868C22semidirect
127. #17988867C22semidirect
128. #17988865C22semidirect
129. #17988865C22semidirect
132. #17988830C22semidirect
133. #17988825C22semidirect
135. #17988822C22semidirect
136. #17988820C22semidirect
137. #17988819C22semidirect
138. #17988813C22semidirect
139. #17988811C22semidirect
140. #17988804C22semidirect
142. #17988799C22semidirect
151. #17988716C22semidirect
152. #17988714C22semidirect
153. #17988699C22semidirect
156. #17988694C22semidirect
159. #17988688C22semidirect
160. #17988685C22semidirect
161. SD16×Dic73C22semidirect
163. C4×#11924013C22semidirect
166. #17988657C22semidirect
168. #17988656C22semidirect
169. #17988652C22semidirect
170. C8×C22⋊D73C22semidirect
171. #17988648C22semidirect
172. #17988647C22semidirect
173. #17988643C22semidirect
174. #17988629C22semidirect
175. #17988626C22semidirect
176. #17988625C22semidirect
177. #17988622C22semidirect
178. #17988622C22semidirect
179. #17988622C22semidirect
180. #17988612C22semidirect
181. C4⋊C8×D73C22semidirect
189. #542×C73C22semidirect
190. #476×C73C22semidirect
191. #476×C73C22semidirect
192. #475×C73C22semidirect
193. #475×C73C22semidirect
194. #470×C73C22semidirect
197. #465×C73C22semidirect
198. #464×C73C22semidirect
199. #464×C73C22semidirect
200. #463×C73C22semidirect
201. #463×C73C22semidirect
202. #424×C73C22semidirect
852. #3263D73semidirect
865. C73#62159semidirect
897. #542C2×D73semidirect
961. #476C2×D73semidirect
962. #476C2×D73semidirect
963. #475C2×D73semidirect
964. #475C2×D73semidirect
971. #470C2×D73semidirect
982. #465C2×D73semidirect
984. #464C2×D73semidirect
985. #464C2×D73semidirect
989. #463C2×D73semidirect
990. #463C2×D73semidirect
1029. #424C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245782
#226238902
#226228512
#226228252
#226226962
#226226882
#226224822
#226224562
#226224532
#226224262
#226223522
#226223392
#226220942
#226220672
#226219622
#226219582
#226217872
#226217732
#226213902
#226212542
#226212342
#226212082
#226211272
#226201142
#226201092
#226200392
#226197632
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C73×#32632
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