Finite Group Databasebeta

← #33982696

Subgroups — #33982696

Order 18688.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624367C211yesmaximal, characteristic, complemented
2#22623877C211yesmaximal, characteristic, complemented
3#22622883C211yesmaximal, characteristic, complemented
4#22622829C211yesmaximal, characteristic, complemented
5#22622718C211yesmaximal, characteristic, complemented
6#22622703C211yesmaximal, characteristic, complemented
7#22622482C211yesmaximal, characteristic, complemented
8#22622408C211yesmaximal, characteristic, complemented
9#22622396C211yesmaximal, characteristic, complemented
10#22622381C211yesmaximal, characteristic, complemented
11#22622305C211yesmaximal, characteristic, complemented
12#22622291C211yesmaximal, characteristic, complemented
13#22622067C211yesmaximal, characteristic, complemented
14#22622019C211yesmaximal, characteristic, complemented
15#22621962C211yesmaximal, characteristic, complemented
16#22621898C211yesmaximal, characteristic, complemented
17#22621788C211yesmaximal, characteristic, complemented
18#22621750C211yesmaximal, characteristic, complemented
19#22621339C211yesmaximal, characteristic, complemented
20#22621281C211yesmaximal, characteristic, complemented
21#22621223C211yesmaximal, characteristic, complemented
22#22621183C211yesmaximal, characteristic, complemented
23#22621165C211yesmaximal, characteristic, complemented
24#22620207C211yesmaximal, characteristic, complemented
25#22620109C211yesmaximal, characteristic, complemented
26#22620068C211yesmaximal, characteristic, complemented
27#22619790C211yesmaximal, characteristic, complemented
28#22619763C211yesmaximal, characteristic, complemented
29#476×D73C211yesmaximal, characteristic, complemented
30#22619068C211yesmaximal, characteristic, complemented
31C73×#3263C211yesmaximal, characteristic, complemented
32#17989338—21no—
33#17989337—21no—
34#17989319C2211yescharacteristic
35#17989313C2211yescharacteristic, complemented
36#17989308C2211yescharacteristic, complemented
37#17989298C2211yescharacteristic
38#17989297C2211yescharacteristic, complemented
39#17989295C2211yescharacteristic
40#17989288—21no—
41#17989287C2211yescharacteristic, complemented
42#17989284C2211yescharacteristic
43#17989284C2211yescharacteristic
44#17989271C2211yescharacteristic
45#17989267—21no—
46#17989262—21no—
47D4×Dic146C2211yescharacteristic, complemented
48#17989250—21no—
49#17989245—21no—
50#17989240C2211yescharacteristic
51#17989237C2211yescharacteristic, complemented
52#17989230—21no—
53#17989230C2211yescharacteristic
54#17989228C2211yescharacteristic
55#17989221C2211yescharacteristic
56#17989215C2211yescharacteristic, complemented
57#17989214C2211yescharacteristic, complemented
58#17989206C2211yescharacteristic, complemented
59#17989194—21no—
60#17989188C2211yescharacteristic
61#17989183—21no—
62#17989180—21no—
63#17989178—21no—
64#17989173—21no—
65#17989159—21no—
66C4⋊Q8×D73C2211yescharacteristic, complemented
67#17989124C2211yescharacteristic
68#17989116C2211yescharacteristic, complemented
69#17989115C2211yescharacteristic
70#17989100—21no—
71#123×D73—21no—
72#17989069C2211yescharacteristic
73#17989061C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75#17988994C2211yescharacteristic, complemented
76#17988994C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988993C2211yescharacteristic, complemented
79#17988987C2211yescharacteristic, complemented
80#17988983C2211yescharacteristic, complemented
81#17988950C2211yescharacteristic
82#17988948C2211yescharacteristic, complemented
83#17988948C2211yescharacteristic, complemented
84#17988946C2211yescharacteristic, complemented
85#17988941C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic
87#17988925C2211yescharacteristic, complemented
88#17988925C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic, complemented
90#17988921C2211yescharacteristic, complemented
91#17988916C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988915C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988910C2211yescharacteristic, complemented
96#17988908C2211yescharacteristic
97#17988908C2211yescharacteristic, complemented
98#17988907C2211yescharacteristic
99#17988907C2211yescharacteristic
100#17988907C2211yescharacteristic, complemented
101#17988904C2211yescharacteristic, complemented
102#17988903C2211yescharacteristic
103#17988899C2211yescharacteristic, complemented
104#17988899C2211yescharacteristic, complemented
105#17988896C2211yescharacteristic, complemented
106#17988896C2211yescharacteristic, complemented
107#17988894C2211yescharacteristic, complemented
108#17988892C2211yescharacteristic, complemented
109#17988888C2211yescharacteristic
110#17988888C2211yescharacteristic
111#17988888C2211yescharacteristic, complemented
112#17988888C2211yescharacteristic, complemented
113#17988887C2211yescharacteristic, complemented
114#17988886C2211yescharacteristic
115#17988885C2211yescharacteristic, complemented
116#17988885C2211yescharacteristic, complemented
117#17988878C2211yescharacteristic
118#17988878C2211yescharacteristic, complemented
119#17988877C2211yescharacteristic, complemented
120#17988876C2211yescharacteristic
121#17988876C2211yescharacteristic
122#17988876C2211yescharacteristic
123#17988875C2211yescharacteristic, complemented
124#17988875C2211yescharacteristic, complemented
125#17988874C2211yescharacteristic
126#17988872C2211yescharacteristic, complemented
127#17988870C2211yescharacteristic, complemented
128#17988868C2211yescharacteristic
129#17988868C2211yescharacteristic, complemented
130#17988864C2211yescharacteristic, complemented
131#17988839C2211yescharacteristic, complemented
132#17988830C2211yescharacteristic, complemented
133#17988825C2211yescharacteristic, complemented
134#17988822C2211yescharacteristic
135#17988820C2211yescharacteristic, complemented
136#17988819C2211yescharacteristic
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, complemented
155#17988696C2211yescharacteristic
156#17988696C2211yescharacteristic
157#17988694C2211yescharacteristic, complemented
158#17988690C2211yescharacteristic
159#17988688C2211yescharacteristic, complemented
160#17988685C2211yescharacteristic
161SD16×Dic73C2211yescharacteristic, complemented
162C4×#11924015C2211yescharacteristic, complemented
163#17988672C2211yescharacteristic
164C4×#11924013C2211yescharacteristic
165#17988658C2211yescharacteristic, complemented
166#17988657C2211yescharacteristic, complemented
167#17988656C2211yescharacteristic
168#17988656C2211yescharacteristic, complemented
169#17988652C2211yescharacteristic, complemented
170C8×C22⋊D73C2211yescharacteristic
171#17988648C2211yescharacteristic, complemented
172#17988647C2211yescharacteristic, complemented
173#17988643C2211yescharacteristic, complemented
174#17988629C2211yescharacteristic, complemented
175#17988626C2211yescharacteristic, complemented
176#17988625C2211yescharacteristic, complemented
177#106×D73C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic, complemented
179#106×D73C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic
183#17988587C2211yescharacteristic
184#17988582C2211yescharacteristic
185C2×#14556513C2211yescharacteristic
186#102×D73C2211yescharacteristic
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×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C2×#11924027—21no—
206C22×Dic146—21no—
207C2×Q8×D73—21no—
208C22×D292C2311yescharacteristic
209C2×D4×D73—21no—
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212C2×#11924015C2311yescharacteristic
213C2×#11924015C2311yescharacteristic
214C2×#11924013C2311yescharacteristic
215C2×#11924013C2311yescharacteristic
216C2×#11924011C2311yescharacteristic
217C2×C8×D73C2311yescharacteristic
218C2×C8×D73C2311yescharacteristic
219C2×C8×D73C2311yescharacteristic
220#14556591C2311yescharacteristic
221#14556591C2311yescharacteristic
222#14556590—21no—
223#14556590—21no—
224#14556590—21no—
225#14556590C2311yescharacteristic
226#14556590C2311yescharacteristic
227#14556590C2311yescharacteristic
228#14556589—21no—
229#14556589—21no—
230#14556587C2311yescharacteristic
231#14556586—21no—
232#14556586—21no—
233#14556586D411yescharacteristic
234#14556584—21no—
235#14556584—21no—
236#14556584—21no—
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556584—21no—
241#14556584D411yescharacteristic
242#14556583—21no—
243#14556583—21no—
244#14556583C2311yescharacteristic
245#14556583C2311yescharacteristic
246#14556582—21no—
247#14556582—21no—
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556581D411yescharacteristic
255#14556580C2311yescharacteristic
256#14556577—21no—
257#14556577—21no—
258#14556577—21no—
259#14556577D411yescharacteristic
260#14556576—21no—
261#14556576—21no—
262#14556576—21no—
263#14556576—21no—
264#14556576D411yescharacteristic
265#14556575—21no—
266#14556575—21no—
267#14556574—21no—
268#14556574—21no—
269#14556573—21no—
270#14556573—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573D411yescharacteristic
276#14556572—21no—
277#14556572—21no—
278#14556572—21no—
279#14556571—21no—
280#14556571—21no—
281#14556570—21no—
282#14556569—21no—
283#14556569—21no—
284#14556569—21no—
285#14556569D411yescharacteristic
286#14556568—21no—
287#14556568—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556568—21no—
292#14556568—21no—
293#14556567—21no—
294#14556567—21no—
295#14556567—21no—
296#14556567—21no—
297#14556567C2311yescharacteristic
298#14556567C2311yescharacteristic
299#14556567C2311yescharacteristic
300#14556566—21no—
301#14556566C2311yescharacteristic
302#14556566C2311yescharacteristic
303#14556565—21no—
304#14556564—21no—
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556564D411yescharacteristic
309#14556562—21no—
310#14556562—21no—
311#14556562C2311yescharacteristic
312#14556562C2311yescharacteristic
313#14556562C2311yescharacteristic
314#14556561—21no—
315#14556561—21no—
316#14556561—21no—
317#14556559—21no—
318Q8×Dic73C2311yescharacteristic
319Q8×Dic73C2311yescharacteristic
320Q8×Dic73C2311yescharacteristic
321C4×Dic146—21no—
322C4×Dic146C2311yescharacteristic
323#14556556—21no—
324C4×D292—21no—
325C4×D292—21no—
326C4×D292—21no—
327C4×D292C2311yescharacteristic
328C4×D292C2311yescharacteristic
329C4×D292C2311yescharacteristic
330C4×D292C2311yescharacteristic
331C4×D292C2311yescharacteristic
332D4×Dic73C2311yescharacteristic
333D4×Dic73C2311yescharacteristic
334D4×Dic73C2311yescharacteristic
335#14556553—21no—
336#14556553—21no—
337#14556553—21no—
338#14556553C2311yescharacteristic
339#14556553C2311yescharacteristic
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342C4×C22⋊D73C2311yescharacteristic
343C4×C22⋊D73C2311yescharacteristic
344#14556551—21no—
345#14556551—21no—
346#14556551—21no—
347#14556551—21no—
348#14556551—21no—
349#14556551—21no—
350#14556550C2311yescharacteristic
351#14556550C2311yescharacteristic
352#14556549—21no—
353#14556549C2311yescharacteristic
354#14556548—21no—
355#14556548—21no—
356#14556548C2311yescharacteristic
357#14556547—21no—
358C2×C4⋊Dic73C2311yescharacteristic
359C4⋊C4×D73—21no—
360C4⋊C4×D73—21no—
361C4⋊C4×D73—21no—
362C4⋊C4×D73C2311yescharacteristic
363C4⋊C4×D73C2311yescharacteristic
364C4⋊C4×D73C2311yescharacteristic
365C4⋊C4×D73C2311yescharacteristic
366C4⋊C4×D73C2311yescharacteristic
367C22⋊C4×D73—21no—
368C22⋊C4×D73—21no—
369C22⋊C4×D73—21no—
370C22⋊C4×D73—21no—
371C22⋊C4×D73—21no—
372C42×D73C2311yescharacteristic
373#14556525C2311yescharacteristic
374#14556525C2311yescharacteristic
375#14556525C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556523C2311yescharacteristic
382#14556523C2311yescharacteristic
383#14556523C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556522C2311yescharacteristic
386#14556522C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
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#11924029—82no—
483#11924027—82no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—82no—
490C2×Dic146C2×D411yescharacteristic
491Q8×D73—82no—
492C2×D292—22no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—41no—
498C2×D292C2×D411yescharacteristic
499C2×D292C2411yescharacteristic
500C2×D292C2411yescharacteristic
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73C2×D411yescharacteristic
508C2×C22⋊D73C2×D411yescharacteristic
509D4×D73—22no—
510D4×D73—41no—
511D4×D73—82no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—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×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
533#11924015—22no—
534#11924015—41no—
535#11924013—22no—
536#11924013—41no—
537#11924011—41no—
538C2×#10596831C2411yescharacteristic
539C2×#10596831C2411yescharacteristic
540C2×#10596831C2411yescharacteristic
541C2×#10596831C2411yescharacteristic
542C8×D73—41no—
543C8×D73—41no—
544C8×D73—41no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73C2×D411yescharacteristic
555C4⋊Dic73C2×D411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
557C4⋊Dic73C2411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
559C4⋊Dic73C2411yescharacteristic
560C4⋊Dic73C2411yescharacteristic
561C4⋊Dic73C2411yescharacteristic
562#11924007—21no—
563#11924007—21no—
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#11924007C2×D411yescharacteristic
581#11924007C2×D411yescharacteristic
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586C22⋊Dic73—21no—
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73C2×D411yescharacteristic
595C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
611#11924005C2×D411yescharacteristic
612#11924005C2×D411yescharacteristic
613#11924005C2×D411yescharacteristic
614#11924005C2×D411yescharacteristic
615#11924005C2×D411yescharacteristic
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73C2×D411yescharacteristic
623C4×Dic73C2×D411yescharacteristic
624C4×Dic73C2411yescharacteristic
625C4×Dic73C2411yescharacteristic
626C2×Q8×C73—21no—
627C2×Q8×C73—21no—
628C2×Q8×C73C2411yescharacteristic
629C2×Q8×C73C2411yescharacteristic
630C2×D4×C73—21no—
631C2×D4×C73—21no—
632C2×D4×C73C2411yescharacteristic
633C2×D4×C73C2411yescharacteristic
634C22×C4×C73—21no—
635C22×C4×C73—21no—
636C22×C4×C73C2411yescharacteristic
637Q16×C73—41no—
638SD16×C73—41no—
639SD16×C73—41no—
640D8×C73—41no—
641M16×C73—41no—
642C2×C8×C73—41no—
643C2×C8×C73C2411yescharacteristic
644C2×C8×C73C2411yescharacteristic
645C2×C8×C73C2411yescharacteristic
646C2×C8×C73C2411yescharacteristic
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×C73C2×D411yescharacteristic
654C4⋊C4×C73C2×D411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C4⋊C4×C73C2411yescharacteristic
657C4⋊C4×C73C2411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
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×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73—21no—
669C22⋊C4×C73C2×D411yescharacteristic
670C22⋊C4×C73C2×D411yescharacteristic
671C42×C73—21no—
672C42×C73—21no—
673C42×C73C2411yescharacteristic
674C42×C73C2411yescharacteristic
675C23×C73—21no—
676C23×C73—21no—
677C23×C73C22×D411yescharacteristic
678C22×D73—21no—
679C22×D73—21no—
680C22×D73—42no—
681C22×D73—42no—
682C22×D73—42no—
683C22×D73—81no—
684C22×D73—81no—
685C22×D73—81no—
686C22×D73C22×D411yescharacteristic
687C22×D73C22×D411yescharacteristic
688Q8×C73—21no—
689Q8×C73—21no—
690Q8×C73—21no—
691Q8×C73—21no—
692Q8×C73—81no—
693Q8×C73—81no—
694D4×C73—21no—
695D4×C73—21no—
696D4×C73—21no—
697D4×C73—21no—
698D4×C73—81no—
699D4×C73—81no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—81no—
709C2×C4×C73—81no—
710C2×C4×C73C22×D411yescharacteristic
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C22×D411yescharacteristic
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C22×D411yescharacteristic
715C2×C4×C73C2511yescharacteristic
716C22⋊D73—22no—
717C22⋊D73—41no—
718C22⋊D73—42no—
719C22⋊D73—42no—
720C22⋊D73—81no—
721C22⋊D73—81no—
722C22⋊D73—81no—
723C22⋊D73—81no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730C2×Dic73—42no—
731C2×Dic73—81no—
732C2×Dic73—81no—
733C2×Dic73—81no—
734C2×Dic73C22×D411yescharacteristic
735C2×Dic73C22×D411yescharacteristic
736C2×Dic73C22×D411yescharacteristic
737C2×Dic73C22×D411yescharacteristic
738C2×Dic73C22×D411yescharacteristic
739C2×Dic73C22×D411yescharacteristic
740D292—22no—
741D292—21no—
742D292—21no—
743D292—21no—
744D292—42no—
745D292—42no—
746D292—42no—
747D292—81no—
748D2922−1+412yes—
749C4×D73—22no—
750C4×D73—21no—
751C4×D73—21no—
752C4×D73—21no—
753C4×D73—21no—
754C4×D73—41no—
755C4×D73—42no—
756C4×D73—42no—
757C4×D73—81no—
758C4×D73—81no—
759C4×D73—81no—
760C4×D73—81no—
761C4×D73—81no—
762C4×D73—81no—
763C4×D73—81no—
764C4×D73—81no—
765C4×D73—81no—
766C4×D73—81no—
767Dic146—41no—
768Dic146—42no—
769Dic146—42no—
770Dic146—81no—
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—21no—
782C22×C73—21no—
783C22×C73—21no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73—41no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73—41no—
790C22×C73C23×D411yescharacteristic
791C2×D73—21no—
792C2×D73—21no—
793C2×D73—21no—
794C2×D73—21no—
795C2×D73—22no—
796C2×D73—21no—
797C2×D73—41no—
798C2×D73—41no—
799C2×D73—41no—
800C2×D73—41no—
801C2×D73—41no—
802C2×D73—84no—
803C2×D73—162no—
804C2×D73#57712yes—
805C4×C73—21no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—21no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73—41no—
816C4×C73C2×2−1+411yescharacteristic
817C4×C73#58511yescharacteristic
818Dic73—21no—
819Dic73—21no—
820Dic73—21no—
821Dic73—21no—
822Dic73—21no—
823Dic73—21no—
824Dic73—41no—
825Dic73—41no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829Dic73—41no—
830#62156—731nomaximal, Sylow
831C2×C73—41no—
832C2×C73—81no—
833C2×C73—81no—
834C2×C73#348911yescharacteristic
835C2×C73C2×#57711yescharacteristic
836C2×C73#358511yescharacteristic
837D73—22no—
838D73—41no—
839D73—42no—
840D73—81no—
841#3552—731no—
842#3513—731no—
843#3388—731no—
844#3384—731no—
845#3373—731no—
846#3371—731no—
847#3350—731no—
848#3345—731no—
849#3345—731no—
850#3344—731no—
851#3337—731no—
852#3335—731no—
853#3318—731no—
854#3314—731no—
855#3311—731no—
856#3306—731no—
857#3297—731no—
858#3295—731no—
859#3263D7311yescharacteristic, complemented
860#3257—731no—
861#3250—731no—
862#3244—731no—
863#3241—731no—
864#3239—731no—
865#3125—731no—
866#3118—731no—
867#3114—731no—
868#3084—731no—
869#3081—731no—
870C2×#476—731no—
871#2992—731no—
872C73#6215611yescharacteristic, complemented, Sylow
873#563—1461no—
874#563—1461no—
875#559—731no—
876#557—731no—
877#556—731no—
878#554—731no—
879#554—731no—
880#554—731no—
881#553—731no—
882#553—731no—
883#553—731no—
884#553—1461no—
885#552—731no—
886#551—1461no—
887#551—1461no—
888D4×Q8—731no—
889D4×Q8—1461no—
890#548—1461no—
891#547—731no—
892#547—731no—
893#546—731no—
894#546—731no—
895#546—1461no—
896D42—731no—
897#544—731no—
898#544—731no—
899#542—731no—
900#542C2×D7311yescharacteristic
901#542C2×D7311yescharacteristic, complemented
902#541—1461no—
903#540—731no—
904#539—1461no—
905#539—1461no—
906#539—1461no—
907#538—1461no—
908#536—1461no—
909C2×C4⋊Q8—731no—
910#529—731no—
911#529—731no—
912#529—731no—
913#525—1461no—
914C2×#123—1461no—
915#520—731no—
916#518—731no—
917C2×C4×D4—731no—
918#501—731no—
919#501—731no—
920#501—731no—
921#501—731no—
922#499—731no—
923#498—731no—
924#490—731no—
925#489—731no—
926#489—731no—
927#489—731no—
928#488—731no—
929#486—731no—
930#485—731no—
931#485—731no—
932#484—731no—
933#484—731no—
934#483—731no—
935#483—731no—
936#483—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#481—731no—
946#480—731no—
947#480—731no—
948#479—731no—
949#479—731no—
950#479—731no—
951#479—731no—
952#478—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#478—731no—
960#476—731no—
961#476—731no—
962#476—731no—
963#476—731no—
964#476—731no—
965#476—731no—
966#476—731no—
967#476—731no—
968#476—731no—
969#476C2×D7311yescharacteristic, complemented
970#476C2×D7311yescharacteristic, complemented
971#475—731no—
972#475—731no—
973#475C2×D7311yescharacteristic, complemented
974#475C2×D7311yescharacteristic, complemented
975#474—731no—
976#474—731no—
977#474—731no—
978#470C2×D7311yescharacteristic, complemented
979#469—731no—
980#469C2×D7311yescharacteristic
981#468—731no—
982#467—731no—
983#466—731no—
984#466—731no—
985#465—731no—
986#465—731no—
987#465—731no—
988#465C2×D7311yescharacteristic
989#465C2×D7311yescharacteristic, complemented
990#464—731no—
991#464C2×D7311yescharacteristic, complemented
992#464C2×D7311yescharacteristic, complemented
993#463—731no—
994#463—731no—
995#463—731no—
996#463C2×D7311yescharacteristic, complemented
997#463C2×D7311yescharacteristic, complemented
998#460—731no—
999#459—731no—
1000#452—731no—
1001#450—731no—
1002#450—731no—
1003#449—731no—
1004#447—731no—
1005#447—731no—
1006#446—731no—
1007#446—731no—
1008#442—731no—
1009#442—731no—
1010#442—731no—
1011#442—731no—
1012#441—731no—
1013#440—731no—
1014#440—731no—
1015#440—731no—
1016C4×SD16—731no—
1017C4×SD16—731no—
1018C4×SD16—731no—
1019C4×D8—731no—
1020#435—731no—
1021#435—731no—
1022#435—731no—
1023#435—731no—
1024C8×D4—731no—
1025C8×D4—731no—
1026#433—731no—
1027#433—731no—
1028#432—731no—
1029#428—731no—
1030#428—731no—
1031#427—731no—
1032C2×#106—731no—
1033C2×#106—731no—
1034C2×#106—731no—
1035#424—731no—
1036#424C2×D7311yescharacteristic, complemented
1037C2×C4⋊C8—731no—
1038#418—731no—
1039#417—731no—
1040#416—731no—
1041C2×#102—731no—
1042C2×#102—731no—
1043C2×#102—731no—
1044C2×#41—731no—
1045C2×#41—1461no—
1046C2×#41—1461no—
1047C22×Q8—1461no—
1048C22×Q8—1461no—
1049C22×D4—731no—
1050C22×D4—731no—
1051C22×D4—1461no—
1052C23×C4—1461no—
1053C2×Q16C22×D7311yescharacteristic
1054C2×SD16—731no—
1055C2×SD16—731no—
1056C2×SD16C22×D7311yescharacteristic
1057C2×SD16C22×D7311yescharacteristic
1058C2×D8—731no—
1059C2×D8—731no—
1060C2×D8C22×D7311yescharacteristic
1061C2×M16—731no—
1062C2×M16C22×D7311yescharacteristic
1063C22×C8—731no—
1064C22×C8—731no—
1065C22×C8—731no—
1066C22×C8C22×D7311yescharacteristic
1067C4⋊Q8—731no—
1068C4⋊Q8—731no—
1069C4⋊Q8—731no—
1070C4⋊Q8—731no—
1071C4⋊Q8—731no—
1072C4⋊Q8—1461no—
1073C4⋊Q8—1461no—
1074C4⋊Q8—1461no—
1075C4⋊Q8—1461no—
1076C4⋊Q8—1461no—
1077C4⋊Q8C22×D7311yescharacteristic
1078C4⋊Q8C22×D7311yescharacteristic
1079#127—731no—
1080#126—21no—
1081#126—21no—
1082#126—731no—
1083#126—731no—
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#126—1461no—
1093#125—731no—
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#124—21no—
1107#124—21no—
1108#124—731no—
1109#124—731no—
1110#124—1461no—
1111#124—1461no—
1112#124—1461no—
1113#124C22×D7311yescharacteristic
1114#124C22×D7311yescharacteristic
1115#123—21no—
1116#123—21no—
1117#123—731no—
1118#123—731no—
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—
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—731no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—731no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
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—
1155C22⋊Q8—1461no—
1156C22⋊Q8—1461no—
1157C22⋊Q8—1461no—
1158C22⋊Q8—1461no—
1159C22⋊Q8C22×D7311yescharacteristic
1160C22⋊Q8C22×D7311yescharacteristic
1161#121—731no—
1162#121—731no—
1163#121—731no—
1164#121—731no—
1165#121—731no—
1166#121—731no—
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#121C22×D7311yescharacteristic
1176#121C22×D7311yescharacteristic
1177#120—1461no—
1178#120—1461no—
1179#120—1461no—
1180#120—1461no—
1181C4×Q8—731no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—731no—
1185C4×Q8—1461no—
1186C4×Q8—1461no—
1187C4×Q8C22×D7311yescharacteristic
1188C4×Q8C22×D7311yescharacteristic
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
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—1461no—
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×D4—1461no—
1214C4×D4—1461no—
1215C4×D4C22×D7311yescharacteristic
1216C4×D4C22×D7311yescharacteristic
1217#117—731no—
1218#117—731no—
1219#117—731no—
1220#117—731no—
1221#117—1461no—
1222#117—1461no—
1223#117—1461no—
1224#117—1461no—
1225#117C22×D7311yescharacteristic
1226C2×C4⋊C4—731no—
1227C2×C4⋊C4—731no—
1228C2×C4⋊C4—731no—
1229C2×C4⋊C4—731no—
1230C2×C4⋊C4—731no—
1231C2×C4⋊C4—731no—
1232C2×C4⋊C4—1461no—
1233C2×C4⋊C4—1461no—
1234C2×C4⋊C4—1461no—
1235C2×C22⋊C4—1461no—
1236C2×C22⋊C4—1461no—
1237C2×C22⋊C4—1461no—
1238C2×C22⋊C4—1461no—
1239C2×C22⋊C4—1461no—
1240C2×C42—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107—731no—
1246#107—731no—
1247#107—731no—
1248#107—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
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
1265C4⋊C8—731no—
1266C4⋊C8—731no—
1267C4⋊C8—731no—
1268C4⋊C8—731no—
1269C4⋊C8—731no—
1270C4⋊C8—731no—
1271C4⋊C8C22×D7311yescharacteristic
1272C4⋊C8C22×D7311yescharacteristic
1273C4⋊C8C22×D7311yescharacteristic
1274C4⋊C8C22×D7311yescharacteristic
1275#103—731no—
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#103C22×D7311yescharacteristic
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#102C22×D7311yescharacteristic
1304#102C22×D7311yescharacteristic
1305#102C22×D7311yescharacteristic
1306#102C22×D7311yescharacteristic
1307C22⋊C8—731no—
1308C22⋊C8—731no—
1309C22⋊C8—731no—
1310C22⋊C8—731no—
1311C22⋊C8—731no—
1312C22⋊C8—731no—
1313#97—731no—
1314#97—731no—
1315#97—731no—
1316#97—731no—
1317C4×C8—731no—
1318C4×C8—731no—
1319C24—1461no—
1320C24—1461no—
1321#41—2921no—
1322#41—5842no—
1323#41—5842no—
1324#41—1462no—
1325C2×Q8—21no—
1326C2×Q8—21no—
1327C2×Q8—5842no—
1328C2×Q8—5842no—
1329C2×Q8—731no—
1330C2×Q8—1461no—
1331C2×Q8—1461no—
1332C2×Q8—1461no—
1333C2×Q8—1461no—
1334C2×Q8—1461no—
1335C2×Q8C23×D7311yescharacteristic
1336C2×Q8C23×D7311yescharacteristic
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—2921no—
1340C2×D4—2921no—
1341C2×D4—5842no—
1342C2×D4—731no—
1343C2×D4—731no—
1344C2×D4—731no—
1345C2×D4—731no—
1346C2×D4—731no—
1347C2×D4—1461no—
1348C2×D4—1461no—
1349C2×D4—1462no—
1350C2×D4—1461no—
1351C2×D4—1461no—
1352C2×D4—1461no—
1353C2×D4—1461no—
1354C2×D4—1462no—
1355C2×D4—1461no—
1356C2×D4—1461no—
1357C2×D4—1461no—
1358C2×D4—1461no—
1359C2×D4C23×D7311yescharacteristic
1360C2×D4C23×D7311yescharacteristic
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—5842no—
1364C22×C4—731no—
1365C22×C4—731no—
1366C22×C4—731no—
1367C22×C4—731no—
1368C22×C4—1461no—
1369C22×C4—1461no—
1370C22×C4—1461no—
1371C22×C4—1461no—
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—
1384C22×C4C23×D7311yescharacteristic
1385Q16—41no—
1386SD16—41no—
1387SD16—41no—
1388SD16—2921no—
1389SD16—1462no—
1390D8—41no—
1391D8—2921no—
1392D8—1462no—
1393M16—41no—
1394M16—2921no—
1395C2×C8—41no—
1396C2×C8—2921no—
1397C2×C8—2921no—
1398C2×C8—2921no—
1399C2×C8—731no—
1400C2×C8—731no—
1401C2×C8—731no—
1402C2×C8—731no—
1403C2×C8C23×D7311yescharacteristic
1404C2×C8C23×D7311yescharacteristic
1405C2×C8C23×D7311yescharacteristic
1406C2×C8C23×D7311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—731no—
1414C4⋊C4—731no—
1415C4⋊C4—731no—
1416C4⋊C4—731no—
1417C4⋊C4—731no—
1418C4⋊C4—731no—
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—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⋊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⋊C4D4×D7311yescharacteristic
1455C4⋊C4D4×D7311yescharacteristic
1456C4⋊C4C23×D7311yescharacteristic
1457C4⋊C4C23×D7311yescharacteristic
1458C4⋊C4C23×D7311yescharacteristic
1459C4⋊C4C23×D7311yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
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⋊C4D4×D7311yescharacteristic
1501C22⋊C4D4×D7311yescharacteristic
1502C42—21no—
1503C42—21no—
1504C42—731no—
1505C42—731no—
1506C42—731no—
1507C42—731no—
1508C42—1461no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42—1461no—
1514C42C23×D7311yescharacteristic
1515C42C23×D7311yescharacteristic
1516C23—21no—
1517C23—21no—
1518C23—2922no—
1519C23—2922no—
1520C23—2922no—
1521C23—5841no—
1522C23—5841no—
1523C23—5841no—
1524C23—731no—
1525C23—731no—
1526C23—1461no—
1527C23—1461no—
1528C23C2×D4×D7311yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—81no—
1534Q8—81no—
1535Q8—2921no—
1536Q8—2922no—
1537Q8—2922no—
1538Q8—5841no—
1539Q8—5841no—
1540Q8—5841no—
1541D4—21no—
1542D4—21no—
1543D4—21no—
1544D4—21no—
1545D4—81no—
1546D4—81no—
1547D4—2922no—
1548D4—2922no—
1549D4—2922no—
1550D4—2922no—
1551D4—2921no—
1552D4—2922no—
1553D4—5841no—
1554D4—5841no—
1555D4—5841no—
1556D4—5841no—
1557D4—5841no—
1558D4—732no—
1559D4—1462no—
1560D4—1462no—
1561D4—1461no—
1562D4—1461no—
1563D4—1461no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4—2921no—
1575C2×C4—2922no—
1576C2×C4—2922no—
1577C2×C4—2922no—
1578C2×C4—5841no—
1579C2×C4—5841no—
1580C2×C4—5841no—
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—731no—
1597C2×C4—1462no—
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×C4C24×D7311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1461no—
1619C8—1461no—
1620C8—1461no—
1621C8—1461no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—2921no—
1632C22—2921no—
1633C22—2921no—
1634C22—2921no—
1635C22—2921no—
1636C22—5844no—
1637C22—732no—
1638C22—11682no—
1639C22—1462no—
1640C22—1461no—
1641C22—1461no—
1642C22—1461no—
1643C22—1461no—
1644C22—1461no—
1645C22C22×D4×D7311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—2921no—
1658C4—2921no—
1659C4—2921no—
1660C4—2921no—
1661C4—2921no—
1662C4—2921no—
1663C4—1461no—
1664C4—1461no—
1665C4—1461no—
1666C4—1461no—
1667C4—1461no—
1668C4—1461no—
1669C42−1+4×D7311yescharacteristic
1670C4#1798942211yescharacteristic
1671C2—41no—
1672C2—81no—
1673C2—81no—
1674C2—2922no—
1675C2—2921no—
1676C2—5841no—
1677C2—1462no—
1678C2#2262360611yescharacteristic
1679C2#577×D7311yescharacteristic
1680C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3263C2
socleC22×C73C23×D4
hypercenter#3263D73
hypocenterC73#62156
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. #22624367C2semidirect
2. #22623877C2semidirect
3. #22622883C2semidirect
4. #22622829C2semidirect
5. #22622718C2semidirect
6. #22622703C2semidirect
7. #22622482C2semidirect
8. #22622408C2semidirect
9. #22622396C2semidirect
10. #22622381C2semidirect
11. #22622305C2semidirect
12. #22622291C2semidirect
13. #22622067C2semidirect
14. #22622019C2semidirect
15. #22621962C2semidirect
16. #22621898C2semidirect
17. #22621788C2semidirect
18. #22621750C2semidirect
19. #22621339C2semidirect
20. #22621281C2semidirect
21. #22621223C2semidirect
22. #22621183C2semidirect
23. #22621165C2semidirect
24. #22620207C2semidirect
25. #22620109C2semidirect
26. #22620068C2semidirect
27. #22619790C2semidirect
28. #22619763C2semidirect
29. #476×D73C2semidirect
30. #22619068C2semidirect
31. C73×#3263C2semidirect
35. #17989313C22semidirect
36. #17989308C22semidirect
38. #17989297C22semidirect
41. #17989287C22semidirect
47. D4×Dic146C22semidirect
51. #17989237C22semidirect
56. #17989215C22semidirect
57. #17989214C22semidirect
58. #17989206C22semidirect
66. C4⋊Q8×D73C22semidirect
68. #17989116C22semidirect
75. #17988994C22semidirect
76. #17988994C22semidirect
77. #17988994C22semidirect
78. #17988993C22semidirect
79. #17988987C22semidirect
80. #17988983C22semidirect
82. #17988948C22semidirect
83. #17988948C22semidirect
84. #17988946C22semidirect
85. #17988941C22semidirect
87. #17988925C22semidirect
88. #17988925C22semidirect
89. #17988921C22semidirect
90. #17988921C22semidirect
91. #17988916C22semidirect
92. #17988916C22semidirect
93. #17988915C22semidirect
94. #17988913C22semidirect
95. #17988910C22semidirect
97. #17988908C22semidirect
100. #17988907C22semidirect
101. #17988904C22semidirect
103. #17988899C22semidirect
104. #17988899C22semidirect
105. #17988896C22semidirect
106. #17988896C22semidirect
107. #17988894C22semidirect
108. #17988892C22semidirect
111. #17988888C22semidirect
112. #17988888C22semidirect
113. #17988887C22semidirect
115. #17988885C22semidirect
116. #17988885C22semidirect
118. #17988878C22semidirect
119. #17988877C22semidirect
123. #17988875C22semidirect
124. #17988875C22semidirect
126. #17988872C22semidirect
127. #17988870C22semidirect
129. #17988868C22semidirect
130. #17988864C22semidirect
131. #17988839C22semidirect
132. #17988830C22semidirect
133. #17988825C22semidirect
135. #17988820C22semidirect
137. #17988819C22semidirect
138. #17988813C22semidirect
139. #17988811C22semidirect
140. #17988804C22semidirect
142. #17988799C22semidirect
151. #17988716C22semidirect
152. #17988714C22semidirect
153. #17988699C22semidirect
154. #17988697C22semidirect
157. #17988694C22semidirect
159. #17988688C22semidirect
161. SD16×Dic73C22semidirect
162. C4×#11924015C22semidirect
165. #17988658C22semidirect
166. #17988657C22semidirect
168. #17988656C22semidirect
169. #17988652C22semidirect
171. #17988648C22semidirect
172. #17988647C22semidirect
173. #17988643C22semidirect
174. #17988629C22semidirect
175. #17988626C22semidirect
176. #17988625C22semidirect
177. #106×D73C22semidirect
178. #106×D73C22semidirect
179. #106×D73C22semidirect
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
859. #3263D73semidirect
872. C73#62156semidirect
901. #542C2×D73semidirect
969. #476C2×D73semidirect
970. #476C2×D73semidirect
973. #475C2×D73semidirect
974. #475C2×D73semidirect
978. #470C2×D73semidirect
989. #465C2×D73semidirect
991. #464C2×D73semidirect
992. #464C2×D73semidirect
996. #463C2×D73semidirect
997. #463C2×D73semidirect
1036. #424C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243672
#226238772
#226228832
#226228292
#226227182
#226227032
#226224822
#226224082
#226223962
#226223812
#226223052
#226222912
#226220672
#226220192
#226219622
#226218982
#226217882
#226217502
#226213392
#226212812
#226212232
#226211832
#226211652
#226202072
#226201092
#226200682
#226197902
#226197632
#476×D732
#226190682
C73×#32632
#6215673