Finite Group Databasebeta

← #36301223

Subgroups — #36301223

Order 21248.

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#24922108C211yesmaximal, characteristic, complemented
2#24921426C211yesmaximal, characteristic, complemented
3#24920386C211yesmaximal, characteristic, complemented
4#24920364C211yesmaximal, characteristic, complemented
5#24920233C211yesmaximal, characteristic, complemented
6#24920218C211yesmaximal, characteristic, complemented
7#24920010C211yesmaximal, characteristic, complemented
8#24919995C211yesmaximal, characteristic, complemented
9#24919980C211yesmaximal, characteristic, complemented
10#24919965C211yesmaximal, characteristic, complemented
11#24919886C211yesmaximal, characteristic, complemented
12#24919877C211yesmaximal, characteristic, complemented
13#24919621C211yesmaximal, characteristic, complemented
14#24919606C211yesmaximal, characteristic, complemented
15#24919501C211yesmaximal, characteristic, complemented
16#24919486C211yesmaximal, characteristic, complemented
17#24919315C211yesmaximal, characteristic, complemented
18#24919300C211yesmaximal, characteristic, complemented
19#24918934C211yesmaximal, characteristic, complemented
20#24918924C211yesmaximal, characteristic, complemented
21#24918790C211yesmaximal, characteristic, complemented
22#24918763C211yesmaximal, characteristic, complemented
23#24918748C211yesmaximal, characteristic, complemented
24#24918663C211yesmaximal, characteristic, complemented
25#24917649C211yesmaximal, characteristic, complemented
26#24917649C211yesmaximal, characteristic, complemented
27#24917574C211yesmaximal, characteristic, complemented
28#24917295C211yesmaximal, characteristic, complemented
29#24917295C211yesmaximal, characteristic, complemented
30#24917253C211yesmaximal, characteristic, complemented
31C83×#2992C211yesmaximal, characteristic, complemented
32#19128452—21no—
33#19128446—21no—
34#19128436C2211yescharacteristic
35#19128429C2211yescharacteristic, complemented
36#19128421C2211yescharacteristic
37#19128421C2211yescharacteristic, complemented
38#19128418—21no—
39#19128416C2211yescharacteristic
40#19128416C2211yescharacteristic
41#19128416C2211yescharacteristic, complemented
42#19128411C2211yescharacteristic, complemented
43#19128397C2211yescharacteristic
44#19128397C2211yescharacteristic, complemented
45#19128391C2211yescharacteristic
46#19128391C2211yescharacteristic, complemented
47#19128387—21no—
48#19128376—21no—
49#19128376—21no—
50Q8×D332C2211yescharacteristic
51#19128361—21no—
52#19128348—21no—
53#19128347C2211yescharacteristic
54#19128347C2211yescharacteristic
55D4×D332C2211yescharacteristic
56#19128329C2211yescharacteristic, complemented
57#19128329C2211yescharacteristic, complemented
58#19128322C2211yescharacteristic
59#19128322C2211yescharacteristic
60#19128322C2211yescharacteristic, complemented
61#19128322C2211yescharacteristic, complemented
62#19128319—21no—
63#19128315—21no—
64#19128310—21no—
65#19128294—21no—
66#19128287—21no—
67#19128287—21no—
68#19128258C2211yescharacteristic, complemented
69#19128251C2211yescharacteristic
70#19128236—21no—
71#19128235C2211yescharacteristic, complemented
72#124×D83—21no—
73#19128175C2211yescharacteristic
74#19128175C2211yescharacteristic
75C4×#13050590C2211yescharacteristic
76#19128110C2211yescharacteristic, complemented
77#19128110C2211yescharacteristic, complemented
78#19128110C2211yescharacteristic, complemented
79#19128110C2211yescharacteristic, complemented
80#19128106C2211yescharacteristic, complemented
81#19128099C2211yescharacteristic, complemented
82#19128066C2211yescharacteristic
83#19128066C2211yescharacteristic
84#19128061C2211yescharacteristic, complemented
85#19128061C2211yescharacteristic, complemented
86#19128056C2211yescharacteristic, complemented
87#19128056C2211yescharacteristic, complemented
88#19128043C2211yescharacteristic, complemented
89#19128043C2211yescharacteristic, complemented
90#19128043C2211yescharacteristic, complemented
91#19128043C2211yescharacteristic, complemented
92#19128043C2211yescharacteristic, complemented
93#19128037C2211yescharacteristic, complemented
94#19128032C2211yescharacteristic, complemented
95#19128026C2211yescharacteristic
96#19128026C2211yescharacteristic
97#19128026C2211yescharacteristic, complemented
98#19128026C2211yescharacteristic, complemented
99#19128026C2211yescharacteristic, complemented
100#19128026C2211yescharacteristic, complemented
101#19128026C2211yescharacteristic, complemented
102#19128026C2211yescharacteristic, complemented
103#19128026C2211yescharacteristic, complemented
104#19128020C2211yescharacteristic
105#19128015C2211yescharacteristic
106#19128009C2211yescharacteristic, complemented
107#19128009C2211yescharacteristic, complemented
108#19128009C2211yescharacteristic, complemented
109#19128002C2211yescharacteristic
110#19128002C2211yescharacteristic
111#19128002C2211yescharacteristic
112#19128002C2211yescharacteristic
113#19128002C2211yescharacteristic
114#19128002C2211yescharacteristic, complemented
115#19128002C2211yescharacteristic, complemented
116#19128002C2211yescharacteristic, complemented
117#19128002C2211yescharacteristic, complemented
118#19127997C2211yescharacteristic, complemented
119#19127997C2211yescharacteristic, complemented
120#19127997C2211yescharacteristic, complemented
121#19127992C2211yescharacteristic
122#19127992C2211yescharacteristic
123#19127992C2211yescharacteristic, complemented
124#19127992C2211yescharacteristic, complemented
125#19127992C2211yescharacteristic, complemented
126#19127992C2211yescharacteristic, complemented
127#19127992C2211yescharacteristic, complemented
128#19127987C2211yescharacteristic, complemented
129#19127987C2211yescharacteristic, complemented
130#19127982C2211yescharacteristic
131#19127982C2211yescharacteristic
132#19127982C2211yescharacteristic, complemented
133#19127982C2211yescharacteristic, complemented
134#19127982C2211yescharacteristic, complemented
135#19127982C2211yescharacteristic, complemented
136#19127959C2211yescharacteristic, complemented
137#19127954C2211yescharacteristic
138#19127947C2211yescharacteristic
139#19127947C2211yescharacteristic, complemented
140#19127942C2211yescharacteristic, complemented
141#19127937C2211yescharacteristic
142#19127937C2211yescharacteristic, complemented
143#19127937C2211yescharacteristic, complemented
144#19127930C2211yescharacteristic
145#19127930C2211yescharacteristic, complemented
146#19127930C2211yescharacteristic, complemented
147#19127930C2211yescharacteristic, complemented
148#19127924C2211yescharacteristic, complemented
149#19127924C2211yescharacteristic, complemented
150#19127924C2211yescharacteristic, complemented
151#19127917C2211yescharacteristic
152#19127917C2211yescharacteristic, complemented
153#19127917C2211yescharacteristic, complemented
154#19127917C2211yescharacteristic, complemented
155#19127917C2211yescharacteristic, complemented
156#19127902C2211yescharacteristic
157#19127897C2211yescharacteristic
158#19127865C2211yescharacteristic
159#19127854C2211yescharacteristic
160#19127854C2211yescharacteristic
161#19127848C2211yescharacteristic
162#19127837C2211yescharacteristic
163#19127837C2211yescharacteristic
164#19127814C2211yescharacteristic
165#19127814C2211yescharacteristic
166#19127814C2211yescharacteristic, complemented
167#19127809C2211yescharacteristic, complemented
168#19127803C2211yescharacteristic
169#19127803C2211yescharacteristic
170#19127803C2211yescharacteristic, complemented
171#19127803C2211yescharacteristic, complemented
172C4×#13050579C2211yescharacteristic
173C4×#13050579C2211yescharacteristic, complemented
174C4×D664C2211yescharacteristic
175C4×D664C2211yescharacteristic, complemented
176#19127743C2211yescharacteristic, complemented
177#19127743C2211yescharacteristic, complemented
178#19127739C2211yescharacteristic, complemented
179#19127739C2211yescharacteristic, complemented
180#19127739C2211yescharacteristic, complemented
181#19127739C2211yescharacteristic, complemented
182#19127707C2211yescharacteristic
183#19127707C2211yescharacteristic
184#19127698C2211yescharacteristic
185#19127698C2211yescharacteristic
186C2×#14581714C2211yescharacteristic
187C2×#14581714C2211yescharacteristic
188#529×C83C2211yescharacteristic
189#446×C83C2211yescharacteristic, complemented
190#446×C83C2211yescharacteristic, complemented
191#435×C83C2211yescharacteristic
192#435×C83C2211yescharacteristic
193#435×C83C2211yescharacteristic, complemented
194#435×C83C2211yescharacteristic, complemented
195C8×D4×C83C2211yescharacteristic, complemented
196C8×D4×C83C2211yescharacteristic, complemented
197#433×C83C2211yescharacteristic, complemented
198#433×C83C2211yescharacteristic, complemented
199#432×C83C2211yescharacteristic, complemented
200#424×C83C2211yescharacteristic, complemented
201#424×C83C2211yescharacteristic, complemented
202C2×C4⋊C8×C83C2211yescharacteristic, complemented
203C2×#13050590—21no—
204C2×#13050590C2311yescharacteristic
205C2×Q8×D83—21no—
206C22×D332C2311yescharacteristic
207C22×D332C2311yescharacteristic
208C2×D4×D83—21no—
209C2×Dic332C2311yescharacteristic
210C2×#13050579C2311yescharacteristic
211C2×#13050579C2311yescharacteristic
212C2×#13050579C2311yescharacteristic
213C2×#13050579C2311yescharacteristic
214C2×D664C2311yescharacteristic
215C2×D664C2311yescharacteristic
216C2×D664C2311yescharacteristic
217#14581792C2311yescharacteristic
218#14581792C2311yescharacteristic
219#14581792C2311yescharacteristic
220#14581792C2311yescharacteristic
221#14581792C2311yescharacteristic
222#14581792C2311yescharacteristic
223#14581792C2311yescharacteristic
224#14581791—21no—
225#14581791—21no—
226#14581790—21no—
227#14581789C2311yescharacteristic
228#14581787—21no—
229#14581787—21no—
230#14581787—21no—
231#14581787—21no—
232#14581787—21no—
233#14581787—21no—
234#14581786—21no—
235#14581785—21no—
236#14581785—21no—
237#14581785—21no—
238#14581785—21no—
239#14581785—21no—
240#14581785—21no—
241#14581784C2311yescharacteristic
242#14581784C2311yescharacteristic
243#14581784C2311yescharacteristic
244#14581784C2311yescharacteristic
245#14581784C2311yescharacteristic
246#14581783—21no—
247#14581783—21no—
248#14581782—21no—
249#14581782—21no—
250#14581782—21no—
251#14581782—21no—
252#14581781—21no—
253#14581780—21no—
254#14581780C2311yescharacteristic
255#14581780C2311yescharacteristic
256#14581780C2311yescharacteristic
257#14581779—21no—
258#14581779—21no—
259#14581778—21no—
260#14581778—21no—
261#14581778—21no—
262#14581778—21no—
263#14581778—21no—
264#14581778—21no—
265#14581778—21no—
266#14581778—21no—
267#14581778—21no—
268#14581778—21no—
269#14581777—21no—
270#14581777—21no—
271#14581777—21no—
272#14581777—21no—
273#14581775—21no—
274#14581774—21no—
275#14581774—21no—
276#14581774—21no—
277#14581774—21no—
278#14581774—21no—
279#14581774—21no—
280#14581773—21no—
281#14581773—21no—
282#14581772—21no—
283#14581772—21no—
284#14581772—21no—
285#14581771—21no—
286#14581771—21no—
287#14581771C2311yescharacteristic
288#14581771C2311yescharacteristic
289#14581771C2311yescharacteristic
290#14581771C2311yescharacteristic
291#14581771C2311yescharacteristic
292#14581770—21no—
293#14581770—21no—
294#14581770—21no—
295#14581770—21no—
296#14581770—21no—
297#14581770—21no—
298#14581769—21no—
299#14581769—21no—
300#14581769—21no—
301#14581769—21no—
302#14581768—21no—
303#14581767—21no—
304#14581766—21no—
305#14581766C2311yescharacteristic
306#14581766C2311yescharacteristic
307#14581766C2311yescharacteristic
308#14581766C2311yescharacteristic
309#14581766C2311yescharacteristic
310#14581766C2311yescharacteristic
311#14581766C2311yescharacteristic
312#14581765—21no—
313#14581765—21no—
314#14581764—21no—
315#14581764—21no—
316#14581763—21no—
317#14581763—21no—
318#14581763—21no—
319#14581762—21no—
320#14581762—21no—
321#14581760—21no—
322#14581760—21no—
323C4×Dic166—21no—
324C4×Dic166—21no—
325C4×Dic166C2311yescharacteristic
326C4×Dic166C2311yescharacteristic
327C4×Dic166C2311yescharacteristic
328C4×Dic166C2311yescharacteristic
329C4×Dic166C2311yescharacteristic
330#14581757—21no—
331#14581757—21no—
332#14581757—21no—
333C4×D332—21no—
334C4×D332C2311yescharacteristic
335C4×D332C2311yescharacteristic
336C4×D332C2311yescharacteristic
337C4×D332C2311yescharacteristic
338C4×D332C2311yescharacteristic
339C4×D332C2311yescharacteristic
340C4×D332C2311yescharacteristic
341C4×D332C2311yescharacteristic
342C4×D332C2311yescharacteristic
343C4×D332C2311yescharacteristic
344C4×D332C2311yescharacteristic
345#14581754—21no—
346#14581754—21no—
347#14581754—21no—
348#14581754—21no—
349#14581754—21no—
350C4×C22⋊D83—21no—
351C4×C22⋊D83—21no—
352C4×C22⋊D83—21no—
353(C22⋊D83)⋊C4—21no—
354(C22⋊D83)⋊C4—21no—
355#14581751C2311yescharacteristic
356#14581751C2311yescharacteristic
357#14581751C2311yescharacteristic
358#14581751C2311yescharacteristic
359#14581751C2311yescharacteristic
360#14581751C2311yescharacteristic
361#14581751C2311yescharacteristic
362#14581750—21no—
363#14581750—21no—
364#14581750—21no—
365#14581749—21no—
366#14581749—21no—
367#14581748—21no—
368#14581748—21no—
369C2×C4⋊Dic83C2311yescharacteristic
370C2×C4⋊Dic83C2311yescharacteristic
371C4⋊C4×D83—21no—
372C22⋊C4×D83—21no—
373C22⋊C4×D83—21no—
374C22⋊C4×D83—21no—
375C22⋊C4×D83—21no—
376C22⋊C4×D83—21no—
377C22⋊C4×D83—21no—
378C42×D83—21no—
379#14581726C2311yescharacteristic
380#14581726C2311yescharacteristic
381#14581726C2311yescharacteristic
382#14581726C2311yescharacteristic
383#14581726C2311yescharacteristic
384#14581726C2311yescharacteristic
385#14581726C2311yescharacteristic
386#14581726C2311yescharacteristic
387#14581726C2311yescharacteristic
388#14581726C2311yescharacteristic
389#14581726C2311yescharacteristic
390#14581726C2311yescharacteristic
391#14581724C2311yescharacteristic
392#14581724C2311yescharacteristic
393#14581724C2311yescharacteristic
394#14581724C2311yescharacteristic
395#14581724C2311yescharacteristic
396#14581724C2311yescharacteristic
397#14581724C2311yescharacteristic
398#14581724C2311yescharacteristic
399#14581724C2311yescharacteristic
400#14581724C2311yescharacteristic
401#14581724C2311yescharacteristic
402#14581724C2311yescharacteristic
403#14581717C2311yescharacteristic
404#14581717C2311yescharacteristic
405#14581717C2311yescharacteristic
406#14581717C2311yescharacteristic
407#14581717C2311yescharacteristic
408#14581717C2311yescharacteristic
409#14581717C2311yescharacteristic
410#14581717C2311yescharacteristic
411#14581717C2311yescharacteristic
412#14581717C2311yescharacteristic
413#14581714C2311yescharacteristic
414#14581714C2311yescharacteristic
415#14581714C2311yescharacteristic
416#14581714C2311yescharacteristic
417#14581714C2311yescharacteristic
418#14581714C2311yescharacteristic
419#14581714C2311yescharacteristic
420#14581714C2311yescharacteristic
421#14581714C2311yescharacteristic
422#14581714C2311yescharacteristic
423#14581714C2311yescharacteristic
424#14581714C2311yescharacteristic
425#14581714C2311yescharacteristic
426#14581714C2311yescharacteristic
427#14581714C2311yescharacteristic
428#14581714C2311yescharacteristic
429#14581714C2311yescharacteristic
430#14581714C2311yescharacteristic
431#14581714C2311yescharacteristic
432#14581714C2311yescharacteristic
433#14581714C2311yescharacteristic
434#14581714C2311yescharacteristic
435C2×M16×C83C2311yescharacteristic
436C2×M16×C83C2311yescharacteristic
437C22×C8×C83C2311yescharacteristic
438C22×C8×C83C2311yescharacteristic
439C22×C8×C83C2311yescharacteristic
440C22×C8×C83C2311yescharacteristic
441#126×C83D411yescharacteristic
442#126×C83D411yescharacteristic
443#125×C83D411yescharacteristic
444#124×C83D411yescharacteristic
445#123×C83D411yescharacteristic
446#123×C83D411yescharacteristic
447C22⋊Q8×C83D411yescharacteristic
448#121×C83D411yescharacteristic
449C4×Q8×C83C2311yescharacteristic
450C4×D4×C83C2311yescharacteristic
451C4×D4×C83C2311yescharacteristic
452C4×D4×C83C2311yescharacteristic
453#117×C83C2311yescharacteristic
454#117×C83C2311yescharacteristic
455C2×C42×C83C2311yescharacteristic
456C4⋊C8×C83C2311yescharacteristic
457C4⋊C8×C83C2311yescharacteristic
458C4⋊C8×C83C2311yescharacteristic
459C4⋊C8×C83C2311yescharacteristic
460C4⋊C8×C83C2311yescharacteristic
461C4⋊C8×C83C2311yescharacteristic
462C4⋊C8×C83C2311yescharacteristic
463C4⋊C8×C83C2311yescharacteristic
464C4⋊C8×C83C2311yescharacteristic
465C4⋊C8×C83C2311yescharacteristic
466C22⋊C8×C83C2311yescharacteristic
467C22⋊C8×C83C2311yescharacteristic
468C22⋊C8×C83C2311yescharacteristic
469C22⋊C8×C83C2311yescharacteristic
470C22⋊C8×C83C2311yescharacteristic
471C22⋊C8×C83C2311yescharacteristic
472#97×C83C2311yescharacteristic
473#97×C83C2311yescharacteristic
474#97×C83C2311yescharacteristic
475#97×C83C2311yescharacteristic
476C4×C8×C83C2311yescharacteristic
477C4×C8×C83C2311yescharacteristic
478C23×D83—21no—
479C23×D83—21no—
480#13050590—22no—
481#13050590—41no—
482#13050590—82no—
483C2×Dic166—21no—
484C2×Dic166—21no—
485C2×Dic166—21no—
486C2×Dic166—21no—
487C2×Dic166—21no—
488C2×Dic166—21no—
489C2×Dic166—21no—
490C2×Dic166C2411yescharacteristic
491C2×Dic166C2411yescharacteristic
492Q8×D83—82no—
493C2×D332—22no—
494C2×D332—22no—
495C2×D332—21no—
496C2×D332—21no—
497C2×D332—21no—
498C2×D332—21no—
499C2×D332—41no—
500C2×D332—41no—
501C2×D332C2411yescharacteristic
502C2×D332C2411yescharacteristic
503C2×D332C2411yescharacteristic
504C2×D332C2411yescharacteristic
505C2×C22⋊D83—21no—
506C2×C22⋊D83—21no—
507C2×C22⋊D83—21no—
508C2×C22⋊D83—21no—
509C2×C22⋊D83—21no—
510C2×C22⋊D83—21no—
511C2×C22⋊D83—21no—
512C2×C22⋊D83—21no—
513D4×D83—82no—
514C22×Dic83—21no—
515C22×Dic83—21no—
516C2×C4×D83—21no—
517C2×C4×D83—21no—
518C2×C4×D83—21no—
519C2×C4×D83—21no—
520C2×C4×D83—21no—
521C2×C4×D83—21no—
522C2×C4×D83—21no—
523C2×C4×D83—21no—
524C2×C4×D83—21no—
525C2×C4×D83—21no—
526C2×C4×D83—21no—
527C2×C4×D83—21no—
528Dic332—41no—
529#13050579—22no—
530#13050579—41no—
531#13050579—41no—
532#13050579—41no—
533D664—22no—
534D664—41no—
535D664—41no—
536C4⋊Dic83—21no—
537C4⋊Dic83—21no—
538C4⋊Dic83—21no—
539C4⋊Dic83—21no—
540C4⋊Dic83—21no—
541C4⋊Dic83—21no—
542C4⋊Dic83—21no—
543C4⋊Dic83—21no—
544C4⋊Dic83—21no—
545C4⋊Dic83C2411yescharacteristic
546C4⋊Dic83C2411yescharacteristic
547C4⋊Dic83C2411yescharacteristic
548C4⋊Dic83C2411yescharacteristic
549C4⋊Dic83C2411yescharacteristic
550C4⋊Dic83C2411yescharacteristic
551C4⋊Dic83C2411yescharacteristic
552C4⋊Dic83C2411yescharacteristic
553C4⋊Dic83C2411yescharacteristic
554C4⋊Dic83C2411yescharacteristic
555Dic83⋊C4—21no—
556Dic83⋊C4—21no—
557Dic83⋊C4—21no—
558Dic83⋊C4—21no—
559Dic83⋊C4—21no—
560Dic83⋊C4—21no—
561Dic83⋊C4—21no—
562Dic83⋊C4—21no—
563Dic83⋊C4—21no—
564Dic83⋊C4—21no—
565Dic83⋊C4—21no—
566Dic83⋊C4—21no—
567Dic83⋊C4—21no—
568Dic83⋊C4—21no—
569Dic83⋊C4—21no—
570Dic83⋊C4—21no—
571Dic83⋊C4—21no—
572Dic83⋊C4—21no—
573Dic83⋊C4—21no—
574Dic83⋊C4—21no—
575C22⋊Dic83—21no—
576C22⋊Dic83—21no—
577C22⋊Dic83—21no—
578C22⋊Dic83—21no—
579C22⋊Dic83—21no—
580C22⋊Dic83—21no—
581C22⋊Dic83—21no—
582C22⋊Dic83—21no—
583C22⋊Dic83—21no—
584C22⋊Dic83—21no—
585C22⋊Dic83—21no—
586C22⋊Dic83—21no—
587(C2×D83)⋊C4—21no—
588(C2×D83)⋊C4—21no—
589(C2×D83)⋊C4—21no—
590(C2×D83)⋊C4—21no—
591(C2×D83)⋊C4—21no—
592(C2×D83)⋊C4—21no—
593(C2×D83)⋊C4—21no—
594(C2×D83)⋊C4—21no—
595(C2×D83)⋊C4—21no—
596(C2×D83)⋊C4—21no—
597(C2×D83)⋊C4—21no—
598(C2×D83)⋊C4—21no—
599(C2×D83)⋊C4—21no—
600(C2×D83)⋊C4—21no—
601(C2×D83)⋊C4—21no—
602(C2×D83)⋊C4—21no—
603(C2×D83)⋊C4—21no—
604(C2×D83)⋊C4—21no—
605(C2×D83)⋊C4—21no—
606(C2×D83)⋊C4—21no—
607(C2×D83)⋊C4—21no—
608(C2×D83)⋊C4—21no—
609(C2×D83)⋊C4—21no—
610(C2×D83)⋊C4—21no—
611C4×Dic83—21no—
612C4×Dic83—21no—
613C4×Dic83—21no—
614C4×Dic83—21no—
615C4×Dic83—21no—
616C4×Dic83—21no—
617C4×Dic83—21no—
618C4×Dic83—21no—
619C4×Dic83—21no—
620C4×Dic83—21no—
621C4×Dic83—21no—
622C4×Dic83—21no—
623C2×Q8×C83C2×D411yescharacteristic
624C2×D4×C83C2×D411yescharacteristic
625C2×D4×C83C2×D411yescharacteristic
626C2×D4×C83C2×D411yescharacteristic
627C22×C4×C83C2×D411yescharacteristic
628C22×C4×C83C2×D411yescharacteristic
629C22×C4×C83C2411yescharacteristic
630C22×C4×C83C2411yescharacteristic
631C22×C4×C83C2411yescharacteristic
632M16×C83—41no—
633M16×C83—41no—
634C2×C8×C83—41no—
635C2×C8×C83—41no—
636C2×C8×C83—41no—
637C2×C8×C83—41no—
638C2×C8×C83C2411yescharacteristic
639C2×C8×C83C2411yescharacteristic
640C2×C8×C83C2411yescharacteristic
641C2×C8×C83C2411yescharacteristic
642C2×C8×C83C2411yescharacteristic
643C2×C8×C83C2411yescharacteristic
644C2×C8×C83C2411yescharacteristic
645C2×C8×C83C2411yescharacteristic
646C4⋊C4×C83C2×D411yescharacteristic
647C4⋊C4×C83C2×D411yescharacteristic
648C4⋊C4×C83C2×D411yescharacteristic
649C4⋊C4×C83C2×D411yescharacteristic
650C4⋊C4×C83C2×D411yescharacteristic
651C4⋊C4×C83C2×D411yescharacteristic
652C4⋊C4×C83C2×D411yescharacteristic
653C4⋊C4×C83C2×D411yescharacteristic
654C4⋊C4×C83C2×D411yescharacteristic
655C4⋊C4×C83C2×D411yescharacteristic
656C22⋊C4×C83C2×D411yescharacteristic
657C22⋊C4×C83C2×D411yescharacteristic
658C22⋊C4×C83C2×D411yescharacteristic
659C22⋊C4×C83C2×D411yescharacteristic
660C22⋊C4×C83C2×D411yescharacteristic
661C22⋊C4×C83C2×D411yescharacteristic
662C22⋊C4×C83C2×D411yescharacteristic
663C22⋊C4×C83C2×D411yescharacteristic
664C22⋊C4×C83C2×D411yescharacteristic
665C22⋊C4×C83C2×D411yescharacteristic
666C42×C83C2×D411yescharacteristic
667C42×C83C2×D411yescharacteristic
668C42×C83C2411yescharacteristic
669C42×C83C2411yescharacteristic
670C42×C83C2411yescharacteristic
671C42×C83C2411yescharacteristic
672C23×C83C22×D411yescharacteristic
673C23×C83C22×D411yescharacteristic
674C23×C83C22×D411yescharacteristic
675C22×D83—21no—
676C22×D83—21no—
677C22×D83—21no—
678C22×D83—21no—
679C22×D83—42no—
680C22×D83—42no—
681C22×D83—81no—
682C22×D83—81no—
683C22×D83—81no—
684C22×D83—81no—
685Q8×C83—41no—
686D4×C83—41no—
687D4×C83—41no—
688D4×C83—41no—
689C2×C4×C83—21no—
690C2×C4×C83—21no—
691C2×C4×C83—21no—
692C2×C4×C83—21no—
693C2×C4×C83—21no—
694C2×C4×C83—21no—
695C2×C4×C83—41no—
696C2×C4×C83—41no—
697C2×C4×C83C22×D411yescharacteristic
698C2×C4×C83C22×D411yescharacteristic
699C2×C4×C83C22×D411yescharacteristic
700C2×C4×C83C22×D411yescharacteristic
701C2×C4×C83C22×D411yescharacteristic
702C2×C4×C83C22×D411yescharacteristic
703C2×C4×C83C22×D411yescharacteristic
704C2×C4×C83C22×D411yescharacteristic
705C2×C4×C83C22×D411yescharacteristic
706C2×C4×C83C22×D411yescharacteristic
707C2×C4×C83C22×D411yescharacteristic
708C2×C4×C83C2511yescharacteristic
709C22⋊D83—42no—
710C22⋊D83—81no—
711C22⋊D83—81no—
712C22⋊D83—81no—
713C22⋊D83—81no—
714C22⋊D83—81no—
715C22⋊D83—81no—
716C22⋊D83—81no—
717C2×Dic83—21no—
718C2×Dic83—21no—
719C2×Dic83—21no—
720C2×Dic83—21no—
721C2×Dic83—21no—
722C2×Dic83—21no—
723C2×Dic83—21no—
724C2×Dic83—21no—
725C2×Dic83—21no—
726C2×Dic83—21no—
727C2×Dic83—21no—
728C2×Dic83—21no—
729C2×Dic83—81no—
730C2×Dic83—81no—
731D332—21no—
732D332—21no—
733D332—21no—
734D332—21no—
735D332—21no—
736D332—21no—
737D332—21no—
738D332—42no—
739D332—42no—
740D332—42no—
741D332—81no—
742D3322−1+412yes—
743C4×D83—42no—
744C4×D83—42no—
745C4×D83—81no—
746C4×D83—81no—
747C4×D83—81no—
748C4×D83—81no—
749C4×D83—81no—
750C4×D83—81no—
751C4×D83—81no—
752C4×D83—81no—
753C4×D83—81no—
754C4×D83—81no—
755Dic166—21no—
756Dic166—21no—
757Dic166—21no—
758Dic166—21no—
759Dic166—42no—
760Dic166—81no—
761Dic166—81no—
762Dic166—81no—
763Dic166—81no—
764Dic166—81no—
765Dic166—81no—
766C8×C83—21no—
767C8×C83—21no—
768C8×C83—21no—
769C8×C83—21no—
770C8×C83—21no—
771C8×C83—21no—
772C8×C83—21no—
773C8×C83—21no—
774C22×C83—21no—
775C22×C83—21no—
776C22×C83—21no—
777C22×C83—21no—
778C22×C83—21no—
779C22×C83—21no—
780C22×C83—21no—
781C22×C83—21no—
782C22×C83—21no—
783C22×C83C23×D411yescharacteristic
784C2×D83—22no—
785C2×D83—41no—
786C2×D83—41no—
787C2×D83—41no—
788C2×D83—41no—
789C2×D83—41no—
790C2×D83—41no—
791C2×D83—41no—
792C2×D83—41no—
793C2×D83—41no—
794C2×D83—41no—
795C2×D83—41no—
796C2×D83—162no—
797C2×D83—162no—
798C4×C83—21no—
799C4×C83—21no—
800C4×C83—21no—
801C4×C83—21no—
802C4×C83—21no—
803C4×C83—21no—
804C4×C83—21no—
805C4×C83—21no—
806C4×C83—21no—
807C4×C83—21no—
808C4×C83—21no—
809C4×C83C2×2−1+411yescharacteristic
810C4×C83#58511yescharacteristic
811Dic83—41no—
812Dic83—41no—
813Dic83—41no—
814Dic83—41no—
815Dic83—41no—
816Dic83—41no—
817Dic83—41no—
818Dic83—41no—
819Dic83—41no—
820Dic83—41no—
821Dic83—41no—
822Dic83—41no—
823#62159—831nomaximal, Sylow
824C2×C83—41no—
825C2×C83—41no—
826C2×C83—41no—
827C2×C83#348911yescharacteristic
828C2×C83#358411yescharacteristic
829C2×C83#358511yescharacteristic
830D83—42no—
831D83—81no—
832D83—81no—
833D83—81no—
834#3565—831no—
835#3514—831no—
836#3386—831no—
837#3384—831no—
838#3371—831no—
839#3370—831no—
840#3350—831no—
841#3349—831no—
842#3348—831no—
843#3347—831no—
844#3341—831no—
845#3340—831no—
846#3319—831no—
847#3318—831no—
848#3311—831no—
849#3310—831no—
850#3297—831no—
851#3296—831no—
852#3263—831no—
853#3262—831no—
854#3247—831no—
855#3244—831no—
856#3243—831no—
857#3235—831no—
858#3118—831no—
859#3118—831no—
860#3111—831no—
861#3081—831no—
862#3081—831no—
863#3076—831no—
864#2992D8311yescharacteristic, complemented
865C83#6215911yescharacteristic, complemented, Sylow
866#563—1661no—
867#562—1661no—
868#559—831no—
869#557—831no—
870#556—831no—
871#556—831no—
872#556—1661no—
873#555—831no—
874#555—831no—
875#555—831no—
876#554—831no—
877#553—831no—
878#553—831no—
879#552—831no—
880#552—831no—
881#552—1661no—
882#551—1661no—
883#551—1661no—
884D4×Q8—831no—
885#548—1661no—
886#546—831no—
887#546—831no—
888#546—1661no—
889D42—831no—
890#544—831no—
891#544—831no—
892#542—831no—
893#542—831no—
894#542—831no—
895#542—831no—
896#542—1661no—
897#542—1661no—
898#541—1661no—
899#539—1661no—
900#538—1661no—
901#538—1661no—
902#533—831no—
903#532—831no—
904#529—831no—
905#529—1661no—
906#529C2×D8311yescharacteristic
907C2×#124—1661no—
908#518—831no—
909#518—831no—
910C4×#41—831no—
911#501—831no—
912#501—831no—
913#501—831no—
914#501—831no—
915#500—831no—
916#498—831no—
917#490—831no—
918#490—831no—
919#489—831no—
920#489—831no—
921#488—831no—
922#488—831no—
923#485—831no—
924#485—831no—
925#485—831no—
926#485—831no—
927#485—831no—
928#484—831no—
929#483—831no—
930#482—831no—
931#482—831no—
932#482—831no—
933#482—831no—
934#482—831no—
935#482—831no—
936#482—831no—
937#482—831no—
938#482—831no—
939#481—831no—
940#480—831no—
941#479—831no—
942#479—831no—
943#479—831no—
944#478—831no—
945#478—831no—
946#478—831no—
947#478—831no—
948#478—831no—
949#478—831no—
950#478—831no—
951#478—831no—
952#478—831no—
953#477—831no—
954#477—831no—
955#477—831no—
956#476—831no—
957#476—831no—
958#476—831no—
959#476—831no—
960#476—831no—
961#476—831no—
962#476—831no—
963#475—831no—
964#475—831no—
965#474—831no—
966#474—831no—
967#474—831no—
968#474—831no—
969#474—831no—
970#474—831no—
971#470—831no—
972#469—831no—
973#468—831no—
974#468—831no—
975#467—831no—
976#466—831no—
977#466—831no—
978#466—831no—
979#465—831no—
980#465—831no—
981#465—831no—
982#465—831no—
983#464—831no—
984#464—831no—
985#464—831no—
986#463—831no—
987#463—831no—
988#463—831no—
989#463—831no—
990#463—831no—
991#460—831no—
992#459—831no—
993#452—831no—
994#450—831no—
995#450—831no—
996#449—831no—
997#447—831no—
998#447—831no—
999#446C2×D8311yescharacteristic, complemented
1000#446C2×D8311yescharacteristic, complemented
1001#442—831no—
1002#442—831no—
1003#442—831no—
1004#441—831no—
1005#440—831no—
1006#440—831no—
1007#440—831no—
1008#440—831no—
1009C4×SD16—831no—
1010C4×SD16—831no—
1011C4×D8—831no—
1012C4×D8—831no—
1013#435C2×D8311yescharacteristic
1014#435C2×D8311yescharacteristic
1015#435C2×D8311yescharacteristic, complemented
1016#435C2×D8311yescharacteristic, complemented
1017C8×D4C2×D8311yescharacteristic, complemented
1018C8×D4C2×D8311yescharacteristic, complemented
1019#433C2×D8311yescharacteristic, complemented
1020#433C2×D8311yescharacteristic, complemented
1021#432C2×D8311yescharacteristic, complemented
1022#428—831no—
1023#428—831no—
1024#427—831no—
1025#427—831no—
1026#427—831no—
1027#427—831no—
1028#424C2×D8311yescharacteristic, complemented
1029#424C2×D8311yescharacteristic, complemented
1030C2×C4⋊C8C2×D8311yescharacteristic, complemented
1031#418—831no—
1032#418—831no—
1033#416—831no—
1034#416—831no—
1035C2×#102—831no—
1036C2×#102—831no—
1037C2×#41—831no—
1038C2×#41—1661no—
1039C22×Q8—1661no—
1040C22×D4—831no—
1041C22×D4—831no—
1042C22×D4—1661no—
1043C2×Q16—831no—
1044C2×SD16—831no—
1045C2×SD16—831no—
1046C2×SD16—831no—
1047C2×SD16—831no—
1048C2×D8—831no—
1049C2×D8—831no—
1050C2×D8—831no—
1051C2×M16C22×D8311yescharacteristic
1052C2×M16C22×D8311yescharacteristic
1053C22×C8C22×D8311yescharacteristic
1054C22×C8C22×D8311yescharacteristic
1055C22×C8C22×D8311yescharacteristic
1056C22×C8C22×D8311yescharacteristic
1057C4⋊Q8—831no—
1058C4⋊Q8—831no—
1059C4⋊Q8—831no—
1060C4⋊Q8—831no—
1061C4⋊Q8—831no—
1062C4⋊Q8—831no—
1063C4⋊Q8—831no—
1064C4⋊Q8—1661no—
1065C4⋊Q8—1661no—
1066C4⋊Q8—1661no—
1067#127—831no—
1068#126—1661no—
1069#126—1661no—
1070#126—1661no—
1071#126—1661no—
1072#126—1661no—
1073#126—1661no—
1074#126—1661no—
1075#126—1661no—
1076#126—1661no—
1077#126—1661no—
1078#126—1661no—
1079#126—1661no—
1080#126—1661no—
1081#126D33211yescharacteristic
1082#126D33211yescharacteristic
1083#125—831no—
1084#125—831no—
1085#125—831no—
1086#125—831no—
1087#125—831no—
1088#125—1661no—
1089#125—1661no—
1090#125—1661no—
1091#125—1661no—
1092#125—1661no—
1093#125—1661no—
1094#125D33211yescharacteristic
1095#124—831no—
1096#124—831no—
1097#124—831no—
1098#124—1661no—
1099#124—1661no—
1100#124—1661no—
1101#124—1661no—
1102#124—1661no—
1103#124—1661no—
1104#124—1661no—
1105#124—1661no—
1106#124—1661no—
1107#124—1661no—
1108#124—1661no—
1109#124—1661no—
1110#124—1661no—
1111#124—1661no—
1112#124D33211yescharacteristic
1113#123—1661no—
1114#123—1661no—
1115#123—1661no—
1116#123—1661no—
1117#123—1661no—
1118#123—1661no—
1119#123—1661no—
1120#123—1661no—
1121#123—1661no—
1122#123—1661no—
1123#123—1661no—
1124#123—1661no—
1125#123—1661no—
1126#123D33211yescharacteristic
1127#123D33211yescharacteristic
1128C22⋊Q8—831no—
1129C22⋊Q8—831no—
1130C22⋊Q8—831no—
1131C22⋊Q8—831no—
1132C22⋊Q8—831no—
1133C22⋊Q8—1661no—
1134C22⋊Q8—1661no—
1135C22⋊Q8—1661no—
1136C22⋊Q8—1661no—
1137C22⋊Q8—1661no—
1138C22⋊Q8—1661no—
1139C22⋊Q8—1661no—
1140C22⋊Q8—1661no—
1141C22⋊Q8—1661no—
1142C22⋊Q8—1661no—
1143C22⋊Q8—1661no—
1144C22⋊Q8—1661no—
1145C22⋊Q8—1661no—
1146C22⋊Q8—1661no—
1147C22⋊Q8—1661no—
1148C22⋊Q8—1661no—
1149C22⋊Q8D33211yescharacteristic
1150#121—831no—
1151#121—831no—
1152#121—831no—
1153#121—831no—
1154#121—831no—
1155#121—831no—
1156#121—831no—
1157#121—1661no—
1158#121—1661no—
1159#121—1661no—
1160#121—1661no—
1161#121—1661no—
1162#121—1661no—
1163#121—1661no—
1164#121—1661no—
1165#121—1661no—
1166#121D33211yescharacteristic
1167#120—1661no—
1168#120—1661no—
1169#120—1661no—
1170#120—1661no—
1171C4×Q8—831no—
1172C4×Q8—831no—
1173C4×Q8—831no—
1174C4×Q8—831no—
1175C4×Q8—831no—
1176C4×Q8—1661no—
1177C4×Q8—1661no—
1178C4×Q8—1661no—
1179C4×Q8—1661no—
1180C4×Q8—1661no—
1181C4×Q8C22×D8311yescharacteristic
1182C4×D4—831no—
1183C4×D4—831no—
1184C4×D4—831no—
1185C4×D4—831no—
1186C4×D4—831no—
1187C4×D4—831no—
1188C4×D4—831no—
1189C4×D4—831no—
1190C4×D4—831no—
1191C4×D4—831no—
1192C4×D4—831no—
1193C4×D4—1661no—
1194C4×D4—1661no—
1195C4×D4—1661no—
1196C4×D4—1661no—
1197C4×D4—1661no—
1198C4×D4—1661no—
1199C4×D4—1661no—
1200C4×D4—1661no—
1201C4×D4—1661no—
1202C4×D4—1661no—
1203C4×D4—1661no—
1204C4×D4C22×D8311yescharacteristic
1205C4×D4C22×D8311yescharacteristic
1206C4×D4C22×D8311yescharacteristic
1207#117—831no—
1208#117—831no—
1209#117—831no—
1210#117—831no—
1211#117—831no—
1212#117—831no—
1213#117—831no—
1214#117—1661no—
1215#117—1661no—
1216#117—1661no—
1217#117—1661no—
1218#117—1661no—
1219#117—1661no—
1220#117—1661no—
1221#117C22×D8311yescharacteristic
1222#117C22×D8311yescharacteristic
1223C2×C4⋊C4—831no—
1224C2×C4⋊C4—831no—
1225C2×C4⋊C4—1661no—
1226C2×C22⋊C4—1661no—
1227C2×C22⋊C4—1661no—
1228C2×C22⋊C4—1661no—
1229C2×C22⋊C4—1661no—
1230C2×C22⋊C4—1661no—
1231C2×C22⋊C4—1661no—
1232C2×C42—1661no—
1233C2×C42C22×D8311yescharacteristic
1234#107—831no—
1235#107—831no—
1236#107—831no—
1237#107—831no—
1238#107—831no—
1239#107—831no—
1240#107—831no—
1241#107—831no—
1242#107—831no—
1243#107—831no—
1244#107—831no—
1245#107—831no—
1246#106—831no—
1247#106—831no—
1248#106—831no—
1249#106—831no—
1250#106—831no—
1251#106—831no—
1252#106—831no—
1253#106—831no—
1254#106—831no—
1255#106—831no—
1256#106—831no—
1257#106—831no—
1258C4⋊C8C22×D8311yescharacteristic
1259C4⋊C8C22×D8311yescharacteristic
1260C4⋊C8C22×D8311yescharacteristic
1261C4⋊C8C22×D8311yescharacteristic
1262C4⋊C8C22×D8311yescharacteristic
1263C4⋊C8C22×D8311yescharacteristic
1264C4⋊C8C22×D8311yescharacteristic
1265C4⋊C8C22×D8311yescharacteristic
1266C4⋊C8C22×D8311yescharacteristic
1267C4⋊C8C22×D8311yescharacteristic
1268#103—831no—
1269#103—831no—
1270#103—831no—
1271#103—831no—
1272#103—831no—
1273#103—831no—
1274#103—831no—
1275#103—831no—
1276#103—831no—
1277#103—831no—
1278#102—831no—
1279#102—831no—
1280#102—831no—
1281#102—831no—
1282#102—831no—
1283#102—831no—
1284#102—831no—
1285#102—831no—
1286#102—831no—
1287#102—831no—
1288#102—831no—
1289#102—831no—
1290#102—831no—
1291#102—831no—
1292#102—831no—
1293#102—831no—
1294#102—831no—
1295#102—831no—
1296#102—831no—
1297#102—831no—
1298#102—831no—
1299#102—831no—
1300C22⋊C8C22×D8311yescharacteristic
1301C22⋊C8C22×D8311yescharacteristic
1302C22⋊C8C22×D8311yescharacteristic
1303C22⋊C8C22×D8311yescharacteristic
1304C22⋊C8C22×D8311yescharacteristic
1305C22⋊C8C22×D8311yescharacteristic
1306#97C22×D8311yescharacteristic
1307#97C22×D8311yescharacteristic
1308#97C22×D8311yescharacteristic
1309#97C22×D8311yescharacteristic
1310C4×C8C22×D8311yescharacteristic
1311C4×C8C22×D8311yescharacteristic
1312C24—1661no—
1313C24—1661no—
1314#41—3321no—
1315#41—6642no—
1316#41—1662no—
1317C2×Q8—831no—
1318C2×Q8—831no—
1319C2×Q8—6642no—
1320C2×Q8—1661no—
1321C2×Q8—1661no—
1322C2×Q8—1661no—
1323C2×Q8—1661no—
1324C2×Q8—1661no—
1325C2×Q8—1661no—
1326C2×Q8—1661no—
1327C2×Q8C2×D33211yescharacteristic
1328C2×D4—3321no—
1329C2×D4—3321no—
1330C2×D4—831no—
1331C2×D4—831no—
1332C2×D4—831no—
1333C2×D4—831no—
1334C2×D4—6642no—
1335C2×D4—1662no—
1336C2×D4—1662no—
1337C2×D4—1661no—
1338C2×D4—1661no—
1339C2×D4—1661no—
1340C2×D4—1661no—
1341C2×D4—1661no—
1342C2×D4—1661no—
1343C2×D4—1661no—
1344C2×D4—1661no—
1345C2×D4—1661no—
1346C2×D4—1661no—
1347C2×D4—1661no—
1348C2×D4—1661no—
1349C2×D4C2×D33211yescharacteristic
1350C2×D4C2×D33211yescharacteristic
1351C2×D4C2×D33211yescharacteristic
1352C22×C4—1661no—
1353C22×C4—1661no—
1354C22×C4—1661no—
1355C22×C4—1661no—
1356C22×C4—1661no—
1357C22×C4—1661no—
1358C22×C4—1661no—
1359C22×C4—1661no—
1360C22×C4—1661no—
1361C22×C4—1661no—
1362C22×C4—1661no—
1363C22×C4—1661no—
1364C22×C4—1661no—
1365C22×C4—1661no—
1366C22×C4C2×D33211yescharacteristic
1367C22×C4C2×D33211yescharacteristic
1368C22×C4C23×D8311yescharacteristic
1369C22×C4C23×D8311yescharacteristic
1370C22×C4C23×D8311yescharacteristic
1371Q16—3321no—
1372SD16—3321no—
1373SD16—3321no—
1374SD16—3321no—
1375SD16—1662no—
1376D8—3321no—
1377D8—3321no—
1378D8—1662no—
1379M16—41no—
1380M16—41no—
1381C2×C8—41no—
1382C2×C8—41no—
1383C2×C8—41no—
1384C2×C8—41no—
1385C2×C8C23×D8311yescharacteristic
1386C2×C8C23×D8311yescharacteristic
1387C2×C8C23×D8311yescharacteristic
1388C2×C8C23×D8311yescharacteristic
1389C2×C8C23×D8311yescharacteristic
1390C2×C8C23×D8311yescharacteristic
1391C2×C8C23×D8311yescharacteristic
1392C2×C8C23×D8311yescharacteristic
1393C4⋊C4—831no—
1394C4⋊C4—831no—
1395C4⋊C4—831no—
1396C4⋊C4—831no—
1397C4⋊C4—831no—
1398C4⋊C4—831no—
1399C4⋊C4—831no—
1400C4⋊C4—831no—
1401C4⋊C4—831no—
1402C4⋊C4—831no—
1403C4⋊C4—1661no—
1404C4⋊C4—1661no—
1405C4⋊C4—1661no—
1406C4⋊C4—1661no—
1407C4⋊C4—1661no—
1408C4⋊C4—1661no—
1409C4⋊C4—1661no—
1410C4⋊C4—1661no—
1411C4⋊C4—1661no—
1412C4⋊C4—1661no—
1413C4⋊C4—1661no—
1414C4⋊C4—1661no—
1415C4⋊C4—1661no—
1416C4⋊C4—1661no—
1417C4⋊C4—1661no—
1418C4⋊C4—1661no—
1419C4⋊C4—1661no—
1420C4⋊C4—1661no—
1421C4⋊C4—1661no—
1422C4⋊C4—1661no—
1423C4⋊C4—1661no—
1424C4⋊C4—1661no—
1425C4⋊C4—1661no—
1426C4⋊C4—1661no—
1427C4⋊C4—1661no—
1428C4⋊C4—1661no—
1429C4⋊C4—1661no—
1430C4⋊C4—1661no—
1431C4⋊C4—1661no—
1432C4⋊C4C2×D33211yescharacteristic
1433C4⋊C4C2×D33211yescharacteristic
1434C4⋊C4C2×D33211yescharacteristic
1435C4⋊C4C2×D33211yescharacteristic
1436C4⋊C4C2×D33211yescharacteristic
1437C4⋊C4C2×D33211yescharacteristic
1438C4⋊C4C2×D33211yescharacteristic
1439C4⋊C4C2×D33211yescharacteristic
1440C4⋊C4C2×D33211yescharacteristic
1441C4⋊C4C2×D33211yescharacteristic
1442C22⋊C4—1661no—
1443C22⋊C4—1661no—
1444C22⋊C4—1661no—
1445C22⋊C4—1661no—
1446C22⋊C4—1661no—
1447C22⋊C4—1661no—
1448C22⋊C4—1661no—
1449C22⋊C4—1661no—
1450C22⋊C4—1661no—
1451C22⋊C4—1661no—
1452C22⋊C4—1661no—
1453C22⋊C4—1661no—
1454C22⋊C4—1661no—
1455C22⋊C4—1661no—
1456C22⋊C4—1661no—
1457C22⋊C4—1661no—
1458C22⋊C4—1661no—
1459C22⋊C4—1661no—
1460C22⋊C4—1661no—
1461C22⋊C4—1661no—
1462C22⋊C4—1661no—
1463C22⋊C4—1661no—
1464C22⋊C4—1661no—
1465C22⋊C4—1661no—
1466C22⋊C4—1661no—
1467C22⋊C4—1661no—
1468C22⋊C4—1661no—
1469C22⋊C4—1661no—
1470C22⋊C4—1661no—
1471C22⋊C4—1661no—
1472C22⋊C4—1661no—
1473C22⋊C4—1661no—
1474C22⋊C4—1661no—
1475C22⋊C4—1661no—
1476C22⋊C4—1661no—
1477C22⋊C4—1661no—
1478C22⋊C4C2×D33211yescharacteristic
1479C22⋊C4C2×D33211yescharacteristic
1480C22⋊C4C2×D33211yescharacteristic
1481C22⋊C4C2×D33211yescharacteristic
1482C22⋊C4C2×D33211yescharacteristic
1483C22⋊C4C2×D33211yescharacteristic
1484C22⋊C4C2×D33211yescharacteristic
1485C22⋊C4C2×D33211yescharacteristic
1486C22⋊C4C2×D33211yescharacteristic
1487C22⋊C4C2×D33211yescharacteristic
1488C42—1661no—
1489C42—1661no—
1490C42—1661no—
1491C42—1661no—
1492C42—1661no—
1493C42—1661no—
1494C42—1661no—
1495C42—1661no—
1496C42—1661no—
1497C42—1661no—
1498C42—1661no—
1499C42—1661no—
1500C42C2×D33211yescharacteristic
1501C42C2×D33211yescharacteristic
1502C42C23×D8311yescharacteristic
1503C42C23×D8311yescharacteristic
1504C42C23×D8311yescharacteristic
1505C42C23×D8311yescharacteristic
1506C23—3322no—
1507C23—3322no—
1508C23—6641no—
1509C23—6641no—
1510C23—6641no—
1511C23—6641no—
1512C23—1661no—
1513C23—1661no—
1514C23—1661no—
1515C23—1661no—
1516C23C22×D33211yescharacteristic
1517C23C22×D33211yescharacteristic
1518C23C22×D33211yescharacteristic
1519Q8—41no—
1520Q8—3322no—
1521Q8—6641no—
1522Q8—6641no—
1523Q8—6641no—
1524Q8—6641no—
1525Q8—6641no—
1526Q8—6641no—
1527Q8—1661no—
1528Q8—1661no—
1529Q8—1661no—
1530Q8—1661no—
1531D4—41no—
1532D4—41no—
1533D4—41no—
1534D4—3322no—
1535D4—3322no—
1536D4—3322no—
1537D4—3322no—
1538D4—832no—
1539D4—6641no—
1540D4—6641no—
1541D4—6641no—
1542D4—6641no—
1543D4—6641no—
1544D4—6641no—
1545D4—6641no—
1546D4—6641no—
1547D4—1661no—
1548D4—1661no—
1549D4—1661no—
1550D4—1661no—
1551D4—1661no—
1552D4—1661no—
1553D4—1661no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—3322no—
1563C2×C4—3322no—
1564C2×C4—6641no—
1565C2×C4—6641no—
1566C2×C4—6641no—
1567C2×C4—6641no—
1568C2×C4—6641no—
1569C2×C4—6641no—
1570C2×C4—6641no—
1571C2×C4—6641no—
1572C2×C4—6641no—
1573C2×C4—6641no—
1574C2×C4—6641no—
1575C2×C4—6641no—
1576C2×C4—1661no—
1577C2×C4—1661no—
1578C2×C4—1661no—
1579C2×C4—1661no—
1580C2×C4—1661no—
1581C2×C4—1661no—
1582C2×C4—1661no—
1583C2×C4—1661no—
1584C2×C4—1661no—
1585C2×C4—1661no—
1586C2×C4—1661no—
1587C2×C4—1661no—
1588C2×C4C22×D33211yescharacteristic
1589C2×C4C22×D33211yescharacteristic
1590C2×C4C22×D33211yescharacteristic
1591C2×C4C22×D33211yescharacteristic
1592C2×C4C22×D33211yescharacteristic
1593C2×C4C22×D33211yescharacteristic
1594C2×C4C22×D33211yescharacteristic
1595C2×C4C22×D33211yescharacteristic
1596C2×C4C22×D33211yescharacteristic
1597C2×C4C22×D33211yescharacteristic
1598C2×C4C22×D33211yescharacteristic
1599C2×C4C24×D8311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—21no—
1606C8—21no—
1607C8—21no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—13282no—
1618C22—13282no—
1619C22—3321no—
1620C22—3321no—
1621C22—3321no—
1622C22—3321no—
1623C22—3321no—
1624C22—3321no—
1625C22—3321no—
1626C22—3321no—
1627C22—3321no—
1628C22—3321no—
1629C22—3321no—
1630C22—1662no—
1631C22C23×D33211yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—21no—
1642C4—21no—
1643C4—3321no—
1644C4—3321no—
1645C4—3321no—
1646C4—3321no—
1647C4—3321no—
1648C4—3321no—
1649C4—3321no—
1650C4—3321no—
1651C4—3321no—
1652C4—3321no—
1653C4—3321no—
1654C4—3321no—
1655C42−1+4×D8311yescharacteristic
1656C4#1912853611yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—41no—
1660C2—3322no—
1661C2—6641no—
1662C2—6641no—
1663C2—6641no—
1664C2#2492114411yescharacteristic
1665C2#2492223711yescharacteristic
1666C2#2492224411yescharacteristic
subgroupG/H
centerC22C23×D332
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#2992C2
socleC22×C83C23×D4
hypercenter#2992D83
hypocenterC83#62159
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ #529 ◁ #2992

Complements

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

NH ≅ G/Ntype
1. #24922108C2semidirect
2. #24921426C2semidirect
3. #24920386C2semidirect
4. #24920364C2semidirect
5. #24920233C2semidirect
6. #24920218C2semidirect
7. #24920010C2semidirect
8. #24919995C2semidirect
9. #24919980C2semidirect
10. #24919965C2semidirect
11. #24919886C2semidirect
12. #24919877C2semidirect
13. #24919621C2semidirect
14. #24919606C2semidirect
15. #24919501C2semidirect
16. #24919486C2semidirect
17. #24919315C2semidirect
18. #24919300C2semidirect
19. #24918934C2semidirect
20. #24918924C2semidirect
21. #24918790C2semidirect
22. #24918763C2semidirect
23. #24918748C2semidirect
24. #24918663C2semidirect
25. #24917649C2semidirect
26. #24917649C2semidirect
27. #24917574C2semidirect
28. #24917295C2semidirect
29. #24917295C2semidirect
30. #24917253C2semidirect
31. C83×#2992C2semidirect
35. #19128429C22semidirect
37. #19128421C22semidirect
41. #19128416C22semidirect
42. #19128411C22semidirect
44. #19128397C22semidirect
46. #19128391C22semidirect
56. #19128329C22semidirect
57. #19128329C22semidirect
60. #19128322C22semidirect
61. #19128322C22semidirect
68. #19128258C22semidirect
71. #19128235C22semidirect
76. #19128110C22semidirect
77. #19128110C22semidirect
78. #19128110C22semidirect
79. #19128110C22semidirect
80. #19128106C22semidirect
81. #19128099C22semidirect
84. #19128061C22semidirect
85. #19128061C22semidirect
86. #19128056C22semidirect
87. #19128056C22semidirect
88. #19128043C22semidirect
89. #19128043C22semidirect
90. #19128043C22semidirect
91. #19128043C22semidirect
92. #19128043C22semidirect
93. #19128037C22semidirect
94. #19128032C22semidirect
97. #19128026C22semidirect
98. #19128026C22semidirect
99. #19128026C22semidirect
100. #19128026C22semidirect
101. #19128026C22semidirect
102. #19128026C22semidirect
103. #19128026C22semidirect
106. #19128009C22semidirect
107. #19128009C22semidirect
108. #19128009C22semidirect
114. #19128002C22semidirect
115. #19128002C22semidirect
116. #19128002C22semidirect
117. #19128002C22semidirect
118. #19127997C22semidirect
119. #19127997C22semidirect
120. #19127997C22semidirect
123. #19127992C22semidirect
124. #19127992C22semidirect
125. #19127992C22semidirect
126. #19127992C22semidirect
127. #19127992C22semidirect
128. #19127987C22semidirect
129. #19127987C22semidirect
132. #19127982C22semidirect
133. #19127982C22semidirect
134. #19127982C22semidirect
135. #19127982C22semidirect
136. #19127959C22semidirect
139. #19127947C22semidirect
140. #19127942C22semidirect
142. #19127937C22semidirect
143. #19127937C22semidirect
145. #19127930C22semidirect
146. #19127930C22semidirect
147. #19127930C22semidirect
148. #19127924C22semidirect
149. #19127924C22semidirect
150. #19127924C22semidirect
152. #19127917C22semidirect
153. #19127917C22semidirect
154. #19127917C22semidirect
155. #19127917C22semidirect
166. #19127814C22semidirect
167. #19127809C22semidirect
170. #19127803C22semidirect
171. #19127803C22semidirect
173. C4×#13050579C22semidirect
175. C4×D664C22semidirect
176. #19127743C22semidirect
177. #19127743C22semidirect
178. #19127739C22semidirect
179. #19127739C22semidirect
180. #19127739C22semidirect
181. #19127739C22semidirect
189. #446×C83C22semidirect
190. #446×C83C22semidirect
193. #435×C83C22semidirect
194. #435×C83C22semidirect
195. C8×D4×C83C22semidirect
196. C8×D4×C83C22semidirect
197. #433×C83C22semidirect
198. #433×C83C22semidirect
199. #432×C83C22semidirect
200. #424×C83C22semidirect
201. #424×C83C22semidirect
202. C2×C4⋊C8×C83C22semidirect
864. #2992D83semidirect
865. C83#62159semidirect
999. #446C2×D83semidirect
1000. #446C2×D83semidirect
1015. #435C2×D83semidirect
1016. #435C2×D83semidirect
1017. C8×D4C2×D83semidirect
1018. C8×D4C2×D83semidirect
1019. #433C2×D83semidirect
1020. #433C2×D83semidirect
1021. #432C2×D83semidirect
1028. #424C2×D83semidirect
1029. #424C2×D83semidirect
1030. C2×C4⋊C8C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249221082
#249214262
#249203862
#249203642
#249202332
#249202182
#249200102
#249199952
#249199802
#249199652
#249198862
#249198772
#249196212
#249196062
#249195012
#249194862
#249193152
#249193002
#249189342
#249189242
#249187902
#249187632
#249187482
#249186632
#249176492
#249175742
#249172952
#249172532
C83×#29922
#6215983