Finite Group Databasebeta

← #36285198

Subgroups — #36285198

Order 21248.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921274C211yesmaximal, characteristic, complemented
2#24921262C211yesmaximal, characteristic, complemented
3#24920410C211yesmaximal, characteristic, complemented
4#24920408C211yesmaximal, characteristic, complemented
5#24920403C211yesmaximal, characteristic, complemented
6#24920401C211yesmaximal, characteristic, complemented
7#24920370C211yesmaximal, characteristic, complemented
8#24920368C211yesmaximal, characteristic, complemented
9#24920365C211yesmaximal, characteristic, complemented
10#24920363C211yesmaximal, characteristic, complemented
11#24920363C211yesmaximal, characteristic, complemented
12#24920358C211yesmaximal, characteristic, complemented
13#24920357C211yesmaximal, characteristic, complemented
14#24920330C211yesmaximal, characteristic, complemented
15#24920325C211yesmaximal, characteristic, complemented
16#24920320C211yesmaximal, characteristic, complemented
17#24920318C211yesmaximal, characteristic, complemented
18#24918008C211yesmaximal, characteristic, complemented
19#24917990C211yesmaximal, characteristic, complemented
20#24917988C211yesmaximal, characteristic, complemented
21#24917326C211yesmaximal, characteristic, complemented
22#24917320C211yesmaximal, characteristic, complemented
23#24917289C211yesmaximal, characteristic, complemented
24#24917287C211yesmaximal, characteristic, complemented
25#24917248C211yesmaximal, characteristic, complemented
26#476×D83C211yesmaximal, characteristic, complemented
27#24916408C211yesmaximal, characteristic, complemented
28#24916292C211yesmaximal, characteristic
29#24916288C211yesmaximal, characteristic
30#24916274C211yesmaximal, characteristic
31C83×#3384C211yesmaximal, characteristic, complemented
32C2×#14581816C2211yescharacteristic
33#19128431C2211yescharacteristic, complemented
34#19128431C2211yescharacteristic, complemented
35#19128429C2211yescharacteristic, complemented
36#19128426C2211yescharacteristic, complemented
37#19128411C2211yescharacteristic
38#19128410C2211yescharacteristic
39#19128410C2211yescharacteristic
40#19128410C2211yescharacteristic, complemented
41#19128410C2211yescharacteristic, complemented
42#19128407C2211yescharacteristic
43#19128407C2211yescharacteristic
44#19128406—21no—
45#19128405—21no—
46#19128405—21no—
47#19128405—21no—
48#19128405—21no—
49D4×Dic166C2211yescharacteristic
50D4×Dic166C2211yescharacteristic, complemented
51#19128366C2211yescharacteristic
52Q8×C22⋊D83—21no—
53#19128364—21no—
54#19128364—21no—
55#19128331C2211yescharacteristic
56#19128330—21no—
57#19128330—21no—
58#19128328C2211yescharacteristic
59#19128328C2211yescharacteristic
60#19128328C2211yescharacteristic
61#19128326—21no—
62#19128326—21no—
63#19128257C2211yescharacteristic
64#19128255C2211yescharacteristic
65#19128253—21no—
66C2×#14581790—21no—
67C4⋊Q8×D83C2211yescharacteristic
68C2×#14581770—21no—
69C22⋊Q8×D83—21no—
70#19128180C2211yescharacteristic
71#19128180C2211yescharacteristic
72#19128173C2211yescharacteristic
73#19128173C2211yescharacteristic
74C4×#13050589C2211yescharacteristic
75C4×D4×D83C2211yescharacteristic
76#19128111C2211yescharacteristic, complemented
77#19128110C2211yescharacteristic, complemented
78#19128110C2211yescharacteristic, complemented
79#19128109C2211yescharacteristic, complemented
80#19128108C2211yescharacteristic, complemented
81#19128108C2211yescharacteristic, complemented
82#19128108C2211yescharacteristic, complemented
83#19128107C2211yescharacteristic, complemented
84#19128107C2211yescharacteristic, complemented
85#19128107C2211yescharacteristic, complemented
86#19128105C2211yescharacteristic, complemented
87#19128105C2211yescharacteristic, complemented
88#19128103C2211yescharacteristic, complemented
89#19128102C2211yescharacteristic, complemented
90#19128101C2211yescharacteristic, complemented
91#19128100C2211yescharacteristic, complemented
92#19128098C2211yescharacteristic, complemented
93#19128098C2211yescharacteristic, complemented
94#19128098C2211yescharacteristic, complemented
95#19128098C2211yescharacteristic, complemented
96#19128097C2211yescharacteristic, complemented
97#19128011C2211yescharacteristic, complemented
98#19128009C2211yescharacteristic, complemented
99#19128009C2211yescharacteristic, complemented
100#19128007C2211yescharacteristic, complemented
101#19128005C2211yescharacteristic, complemented
102#19128005C2211yescharacteristic, complemented
103#19128004C2211yescharacteristic
104#19128003C2211yescharacteristic
105#19128003C2211yescharacteristic, complemented
106#19128002C2211yescharacteristic
107#19128002C2211yescharacteristic
108#19128001C2211yescharacteristic
109#19128001C2211yescharacteristic
110#19128001C2211yescharacteristic, complemented
111#19128001C2211yescharacteristic, complemented
112#19128000C2211yescharacteristic
113#19127999C2211yescharacteristic
114#19127999C2211yescharacteristic, complemented
115#19127995C2211yescharacteristic, complemented
116#19127992C2211yescharacteristic
117#19127991C2211yescharacteristic
118#19127991C2211yescharacteristic, complemented
119#19127990C2211yescharacteristic
120#19127990C2211yescharacteristic
121#19127990C2211yescharacteristic
122#19127989C2211yescharacteristic
123#19127989C2211yescharacteristic
124#19127989C2211yescharacteristic
125#19127989C2211yescharacteristic, complemented
126#19127989C2211yescharacteristic, complemented
127#19127989C2211yescharacteristic, complemented
128#19127988C2211yescharacteristic
129#19127988C2211yescharacteristic
130#19127987C2211yescharacteristic, complemented
131#19127985C2211yescharacteristic, complemented
132#19127985C2211yescharacteristic, complemented
133#19127985C2211yescharacteristic, complemented
134#19127983C2211yescharacteristic, complemented
135#19127980C2211yescharacteristic
136#19127979C2211yescharacteristic
137#19127979C2211yescharacteristic, complemented
138#19127978C2211yescharacteristic
139#19127832C2211yescharacteristic, complemented
140#19127830C2211yescharacteristic, complemented
141#19127830C2211yescharacteristic, complemented
142#19127829C2211yescharacteristic, complemented
143#19127829C2211yescharacteristic, complemented
144C8×Dic166C2211yescharacteristic, complemented
145#19127825C2211yescharacteristic, complemented
146#19127813C2211yescharacteristic
147#19127811C2211yescharacteristic
148#19127811C2211yescharacteristic
149#19127810C2211yescharacteristic
150#19127803C2211yescharacteristic
151#19127803C2211yescharacteristic
152#19127801C2211yescharacteristic
153#19127801C2211yescharacteristic
154#19127800C2211yescharacteristic
155#19127798C2211yescharacteristic
156#19127792C2211yescharacteristic
157#19127792C2211yescharacteristic
158C4×#13050579C2211yescharacteristic
159#19127788C2211yescharacteristic
160#19127788C2211yescharacteristic
161C4×#13050578C2211yescharacteristic
162D8×Dic83C2211yescharacteristic
163D8×Dic83C2211yescharacteristic
164C4×#13050575C2211yescharacteristic
165#19127781C2211yescharacteristic
166#19127781C2211yescharacteristic
167#19127742C2211yescharacteristic
168#19127742C2211yescharacteristic
169#19127740C2211yescharacteristic
170#19127740C2211yescharacteristic
171#19127740C2211yescharacteristic
172#19127738C2211yescharacteristic
173#19127736C2211yescharacteristic
174#106×D83C2211yescharacteristic
175#106×D83C2211yescharacteristic
176#19127726C2211yescharacteristic
177#19127726C2211yescharacteristic
178C4⋊C8×D83C2211yescharacteristic
179#19127704C2211yescharacteristic
180#19127699C2211yescharacteristic
181#19127694C2211yescharacteristic
182#19127694C2211yescharacteristic
183#102×D83C2211yescharacteristic
184#102×D83C2211yescharacteristic
185#19127658C2211yescharacteristic
186#19127655C2211yescharacteristic
187#19127653C2211yescharacteristic
188#554×C83C2211yescharacteristic
189D4×Q8×C83C2211yescharacteristic, complemented
190#501×C83C2211yescharacteristic, complemented
191#501×C83C2211yescharacteristic, complemented
192#498×C83C2211yescharacteristic, complemented
193#478×C83C2211yescharacteristic, complemented
194#478×C83C2211yescharacteristic, complemented
195#476×C83C2211yescharacteristic
196#476×C83C2211yescharacteristic
197#476×C83C2211yescharacteristic, complemented
198#474×C83C2211yescharacteristic
199#446×C83C2211yescharacteristic, complemented
200#442×C83C2211yescharacteristic
201#442×C83C2211yescharacteristic
202C4×D8×C83C2211yescharacteristic
203C2×#13050589C2311yescharacteristic
204C22×Dic166—21no—
205C22×Dic166—21no—
206C2×Q8×D83—21no—
207C2×Q8×D83—21no—
208C2×D4×D83C2311yescharacteristic
209C22×C4×D83—21no—
210#14581816Q818yescomplemented
211C2×#13050579C2311yescharacteristic
212C2×#13050578C2311yescharacteristic
213C2×#13050575C2311yescharacteristic
214C2×#13050573C2311yescharacteristic
215C2×#13050573C2311yescharacteristic
216C2×C8×D83C2311yescharacteristic
217C2×C8×D83C2311yescharacteristic
218#14581792C2311yescharacteristic
219#14581792C2311yescharacteristic
220#14581791—21no—
221#14581791—21no—
222#14581791—21no—
223#14581791—21no—
224#14581791D411yescharacteristic
225#14581791C2311yescharacteristic
226#14581791C2311yescharacteristic
227#14581791C2311yescharacteristic
228#14581791C2311yescharacteristic
229#14581791C2311yescharacteristic
230#14581791C2311yescharacteristic
231#14581791C2311yescharacteristic
232#14581791C2311yescharacteristic
233#14581790—21no—
234#14581790—21no—
235#14581790—21no—
236#14581790—21no—
237#14581790—21no—
238#14581790—21no—
239#14581790—21no—
240#14581790—21no—
241#14581790—21no—
242#14581790—21no—
243#14581790D411yescharacteristic
244#14581784C2311yescharacteristic
245#14581784C2311yescharacteristic
246#14581784C2311yescharacteristic
247#14581784C2311yescharacteristic
248#14581783C2311yescharacteristic
249#14581783C2311yescharacteristic
250#14581783C2311yescharacteristic
251#14581783C2311yescharacteristic
252#14581782—21no—
253#14581782—21no—
254#14581782—21no—
255#14581782—21no—
256#14581782—21no—
257#14581782—21no—
258#14581782—21no—
259#14581782—21no—
260#14581782D411yescharacteristic
261#14581782D411yescharacteristic
262#14581772—21no—
263#14581772—21no—
264#14581772—21no—
265#14581772D411yescharacteristic
266#14581771—21no—
267#14581771—21no—
268#14581771—21no—
269#14581771—21no—
270#14581771—21no—
271#14581771—21no—
272#14581770—21no—
273#14581770—21no—
274#14581770—21no—
275#14581770—21no—
276#14581770—21no—
277#14581770—21no—
278#14581770—21no—
279#14581770—21no—
280#14581770—21no—
281#14581770—21no—
282#14581770—21no—
283#14581770—21no—
284#14581770—21no—
285#14581770—21no—
286#14581770D411yescharacteristic
287#14581770D411yescharacteristic
288#14581769—21no—
289#14581769—21no—
290#14581769—21no—
291#14581769—21no—
292#14581769—21no—
293#14581769—21no—
294#14581769—21no—
295#14581769—21no—
296#14581769—21no—
297#14581769—21no—
298#14581769—21no—
299#14581769—21no—
300#14581768—21no—
301#14581768—21no—
302#14581768—21no—
303#14581768—21no—
304#14581768—21no—
305#14581768D411yescharacteristic
306Q8×Dic83—21no—
307C4×Dic166C2311yescharacteristic
308C4×Dic166C2311yescharacteristic
309C4×Dic166C2311yescharacteristic
310C4×Dic166C2311yescharacteristic
311C4×Dic166C2311yescharacteristic
312C4×Dic166C2311yescharacteristic
313#14581757—21no—
314#14581757—21no—
315#14581757—21no—
316#14581757—21no—
317#14581757—21no—
318#14581757C2311yescharacteristic
319#14581757C2311yescharacteristic
320#14581757C2311yescharacteristic
321C4×D332C2311yescharacteristic
322C4×D332C2311yescharacteristic
323C4×D332C2311yescharacteristic
324D4×Dic83C2311yescharacteristic
325D4×Dic83C2311yescharacteristic
326D4×Dic83C2311yescharacteristic
327D4×Dic83C2311yescharacteristic
328D4×Dic83C2311yescharacteristic
329D4×Dic83C2311yescharacteristic
330#14581754C2311yescharacteristic
331#14581754C2311yescharacteristic
332#14581754C2311yescharacteristic
333C4×C22⋊D83—21no—
334C4×C22⋊D83—21no—
335C4×C22⋊D83—21no—
336C4×C22⋊D83—21no—
337C4×C22⋊D83—21no—
338C4×C22⋊D83—21no—
339(C22⋊D83)⋊C4—21no—
340(C22⋊D83)⋊C4—21no—
341(C22⋊D83)⋊C4—21no—
342(C22⋊D83)⋊C4—21no—
343(C22⋊D83)⋊C4—21no—
344(C22⋊D83)⋊C4—21no—
345#14581750C2311yescharacteristic
346#14581750C2311yescharacteristic
347#14581750C2311yescharacteristic
348#14581749C2311yescharacteristic
349#14581749C2311yescharacteristic
350#14581748—21no—
351#14581748—21no—
352#14581748—21no—
353C2×Dic83⋊C4—21no—
354C2×Dic83⋊C4—21no—
355C2×Dic83⋊C4—21no—
356C2×Dic83⋊C4—21no—
357C2×Dic83⋊C4—21no—
358C2×Dic83⋊C4—21no—
359C4⋊C4×D83—21no—
360C4⋊C4×D83—21no—
361C4⋊C4×D83—21no—
362C4⋊C4×D83—21no—
363C4⋊C4×D83C2311yescharacteristic
364C4⋊C4×D83C2311yescharacteristic
365C4⋊C4×D83C2311yescharacteristic
366C2×(C2×D83)⋊C4—21no—
367C2×(C2×D83)⋊C4—21no—
368C22⋊C4×D83—21no—
369C22⋊C4×D83—21no—
370C22⋊C4×D83—21no—
371C2×C4×Dic83—21no—
372C42×D83C2311yescharacteristic
373#14581726C2311yescharacteristic
374#14581726C2311yescharacteristic
375#14581726C2311yescharacteristic
376#14581726C2311yescharacteristic
377#14581725C2311yescharacteristic
378#14581725C2311yescharacteristic
379#14581725C2311yescharacteristic
380#14581725C2311yescharacteristic
381#14581725C2311yescharacteristic
382#14581725C2311yescharacteristic
383#14581725C2311yescharacteristic
384#14581724C2311yescharacteristic
385#14581724C2311yescharacteristic
386#14581724C2311yescharacteristic
387#14581724C2311yescharacteristic
388#14581724C2311yescharacteristic
389#14581723C2311yescharacteristic
390#14581723C2311yescharacteristic
391#14581723C2311yescharacteristic
392#14581723C2311yescharacteristic
393#14581723C2311yescharacteristic
394#14581723C2311yescharacteristic
395#14581723C2311yescharacteristic
396#14581723C2311yescharacteristic
397#14581723C2311yescharacteristic
398#14581723C2311yescharacteristic
399#14581723C2311yescharacteristic
400C4⋊(C83⋊C8)C2311yescharacteristic
401C4⋊(C83⋊C8)C2311yescharacteristic
402C4⋊(C83⋊C8)C2311yescharacteristic
403Dic83⋊C8C2311yescharacteristic
404Dic83⋊C8C2311yescharacteristic
405Dic83⋊C8C2311yescharacteristic
406Dic83⋊C8C2311yescharacteristic
407Dic83⋊C8C2311yescharacteristic
408Dic83⋊C8C2311yescharacteristic
409#14581717C2311yescharacteristic
410#14581717C2311yescharacteristic
411#14581717C2311yescharacteristic
412#14581715C2311yescharacteristic
413#14581715C2311yescharacteristic
414#14581715C2311yescharacteristic
415#14581714C2311yescharacteristic
416#14581714C2311yescharacteristic
417#14581714C2311yescharacteristic
418#14581713C2311yescharacteristic
419#14581713C2311yescharacteristic
420#14581713C2311yescharacteristic
421#14581713C2311yescharacteristic
422#14581713C2311yescharacteristic
423#14581713C2311yescharacteristic
424#14581712C2311yescharacteristic
425#14581712C2311yescharacteristic
426#14581712C2311yescharacteristic
427#14581703C2311yescharacteristic
428#14581703C2311yescharacteristic
429#14581702C2311yescharacteristic
430#14581702C2311yescharacteristic
431C4×C83⋊C8C2311yescharacteristic
432C8×Dic83C2311yescharacteristic
433C8×Dic83C2311yescharacteristic
434C8×Dic83C2311yescharacteristic
435C8×Dic83C2311yescharacteristic
436C22×Q8×C83—21no—
437C2×D8×C83C2311yescharacteristic
438C4⋊Q8×C83C2311yescharacteristic
439C4⋊Q8×C83C2311yescharacteristic
440C4⋊Q8×C83C2311yescharacteristic
441C4⋊Q8×C83C2311yescharacteristic
442#125×C83C2311yescharacteristic
443#125×C83C2311yescharacteristic
444C22⋊Q8×C83—21no—
445C22⋊Q8×C83—21no—
446C22⋊Q8×C83—21no—
447C22⋊Q8×C83—21no—
448C22⋊Q8×C83—21no—
449C22⋊Q8×C83—21no—
450C4×Q8×C83C2311yescharacteristic
451C4×D4×C83C2311yescharacteristic
452C4×D4×C83C2311yescharacteristic
453C4×D4×C83C2311yescharacteristic
454C4×D4×C83C2311yescharacteristic
455C4×D4×C83C2311yescharacteristic
456C4×D4×C83C2311yescharacteristic
457C2×C4⋊C4×C83—21no—
458#107×C83C2311yescharacteristic
459#107×C83C2311yescharacteristic
460#107×C83C2311yescharacteristic
461#106×C83C2311yescharacteristic
462#106×C83C2311yescharacteristic
463#106×C83C2311yescharacteristic
464#106×C83C2311yescharacteristic
465#106×C83C2311yescharacteristic
466#106×C83C2311yescharacteristic
467C4⋊C8×C83C2311yescharacteristic
468C4⋊C8×C83C2311yescharacteristic
469C4⋊C8×C83C2311yescharacteristic
470#102×C83C2311yescharacteristic
471#102×C83C2311yescharacteristic
472#102×C83C2311yescharacteristic
473#102×C83C2311yescharacteristic
474#102×C83C2311yescharacteristic
475#102×C83C2311yescharacteristic
476#97×C83C2311yescharacteristic
477#97×C83C2311yescharacteristic
478C4×C8×C83C2311yescharacteristic
479C23×D83—21no—
480#13050589—22no—
481#13050589C2×Q814yescomplemented
482C2×Dic166—21no—
483C2×Dic166—21no—
484C2×Dic166—21no—
485C2×Dic166—21no—
486C2×Dic166—21no—
487C2×Dic166—21no—
488C2×Dic166—21no—
489C2×Dic166—21no—
490C2×Dic166—21no—
491C2×Dic166—21no—
492C2×Dic166—82no—
493C2×Dic166—82no—
494C2×Dic166C2×D411yescharacteristic
495C2×Dic166C2×D411yescharacteristic
496C2×Dic166C2×D411yescharacteristic
497C2×Dic166C2411yescharacteristic
498Q8×D83—82no—
499Q8×D83—82no—
500C2×D332C2411yescharacteristic
501C2×C22⋊D83—21no—
502C2×C22⋊D83—21no—
503D4×D83—22no—
504D4×D83C2×Q814yescomplemented
505C22×Dic83—21no—
506C22×Dic83—21no—
507C22×Dic83—21no—
508C22×Dic83—21no—
509C22×Dic83—21no—
510C22×Dic83—21no—
511C22×Dic83—21no—
512C2×C4×D83—21no—
513C2×C4×D83—21no—
514C2×C4×D83—21no—
515C2×C4×D83—21no—
516C2×C4×D83—21no—
517C2×C4×D83—21no—
518C2×C4×D83—21no—
519C2×C4×D83—21no—
520C2×C4×D83—21no—
521C2×C4×D83—82no—
522C2×C4×D83C2×D411yescharacteristic
523C2×C4×D83C2×D411yescharacteristic
524C2×C4×D83C2411yescharacteristic
525#13050579C2×Q814yescomplemented
526#13050578C2×Q814yescomplemented
527#13050575C2×Q814yescomplemented
528#13050573—22no—
529#13050573C2×Q814yescomplemented
530C2×C83⋊C8C2411yescharacteristic
531C2×C83⋊C8C2411yescharacteristic
532C2×C83⋊C8C2411yescharacteristic
533C2×C83⋊C8C2411yescharacteristic
534C8×D83—22no—
535C8×D83—22no—
536C4⋊Dic83—21no—
537C4⋊Dic83—21no—
538C4⋊Dic83—21no—
539C4⋊Dic83—21no—
540C4⋊Dic83—21no—
541C4⋊Dic83—21no—
542C4⋊Dic83C2×D411yescharacteristic
543C4⋊Dic83C2×D411yescharacteristic
544C4⋊Dic83C2×D411yescharacteristic
545C4⋊Dic83C2411yescharacteristic
546C4⋊Dic83C2411yescharacteristic
547C4⋊Dic83C2411yescharacteristic
548C4⋊Dic83C2411yescharacteristic
549C4⋊Dic83C2411yescharacteristic
550C4⋊Dic83C2411yescharacteristic
551Dic83⋊C4—21no—
552Dic83⋊C4—21no—
553Dic83⋊C4—21no—
554Dic83⋊C4—21no—
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—
575Dic83⋊C4—21no—
576Dic83⋊C4—21no—
577Dic83⋊C4—21no—
578Dic83⋊C4—21no—
579Dic83⋊C4—21no—
580Dic83⋊C4C2×D411yescharacteristic
581Dic83⋊C4C2×D411yescharacteristic
582Dic83⋊C4C2×D411yescharacteristic
583Dic83⋊C4C2×D411yescharacteristic
584Dic83⋊C4C2×D411yescharacteristic
585Dic83⋊C4C2×D411yescharacteristic
586Dic83⋊C4C2×D411yescharacteristic
587Dic83⋊C4C2×D411yescharacteristic
588Dic83⋊C4C2×D411yescharacteristic
589Dic83⋊C4C2×D411yescharacteristic
590C22⋊Dic83—21no—
591C22⋊Dic83—21no—
592C22⋊Dic83—21no—
593C22⋊Dic83—21no—
594C22⋊Dic83—21no—
595C22⋊Dic83—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)⋊C4C2×D411yescharacteristic
606(C2×D83)⋊C4C2×D411yescharacteristic
607(C2×D83)⋊C4C2×D411yescharacteristic
608(C2×D83)⋊C4C2×D411yescharacteristic
609C4×Dic83—21no—
610C4×Dic83—21no—
611C4×Dic83—21no—
612C4×Dic83—21no—
613C4×Dic83—21no—
614C4×Dic83—21no—
615C4×Dic83—21no—
616C4×Dic83—21no—
617C4×Dic83—21no—
618C4×Dic83C2×D411yescharacteristic
619C4×Dic83C2×D411yescharacteristic
620C4×Dic83C2411yescharacteristic
621C4×Dic83C2411yescharacteristic
622C4×Dic83C2411yescharacteristic
623C2×Q8×C83—21no—
624C2×Q8×C83—21no—
625C2×Q8×C83—21no—
626C2×Q8×C83—21no—
627C2×Q8×C83—82no—
628C2×Q8×C83C2×D411yescharacteristic
629C2×D4×C83C2411yescharacteristic
630C2×D4×C83C2411yescharacteristic
631C22×C4×C83—21no—
632C22×C4×C83—21no—
633C22×C4×C83—21no—
634C22×C4×C83—21no—
635C22×C4×C83—21no—
636C22×C4×C83—21no—
637D8×C83C2×Q814yescomplemented
638C2×C8×C83C2411yescharacteristic
639C2×C8×C83C2411yescharacteristic
640C2×C8×C83C2411yescharacteristic
641C2×C8×C83C2411yescharacteristic
642C4⋊C4×C83—21no—
643C4⋊C4×C83—21no—
644C4⋊C4×C83—21no—
645C4⋊C4×C83—21no—
646C4⋊C4×C83—21no—
647C4⋊C4×C83—21no—
648C4⋊C4×C83—21no—
649C4⋊C4×C83—21no—
650C4⋊C4×C83C2×D411yescharacteristic
651C4⋊C4×C83C2×D411yescharacteristic
652C4⋊C4×C83C2×D411yescharacteristic
653C4⋊C4×C83C2411yescharacteristic
654C4⋊C4×C83C2411yescharacteristic
655C4⋊C4×C83C2411yescharacteristic
656C4⋊C4×C83C2411yescharacteristic
657C4⋊C4×C83C2411yescharacteristic
658C4⋊C4×C83C2411yescharacteristic
659C22⋊C4×C83—21no—
660C22⋊C4×C83—21no—
661C22⋊C4×C83—21no—
662C22⋊C4×C83—21no—
663C22⋊C4×C83—21no—
664C22⋊C4×C83—21no—
665C42×C83C2411yescharacteristic
666C42×C83C2411yescharacteristic
667C42×C83C2411yescharacteristic
668C23×C83—21no—
669C23×C83—21no—
670C22×D83—21no—
671C22×D83—24no—
672C22×D83—81no—
673C22×D83—81no—
674C22×D83C22×D411yescharacteristic
675Q8×C83—41no—
676Q8×C83—42no—
677Q8×C83—81no—
678Q8×C83—81no—
679Q8×C83—81no—
680D4×C83—21no—
681D4×C83—21no—
682D4×C83C22×Q812yes—
683D4×C83C22×Q812yes—
684C2×C4×C83—21no—
685C2×C4×C83—21no—
686C2×C4×C83—21no—
687C2×C4×C83—21no—
688C2×C4×C83—21no—
689C2×C4×C83—21no—
690C2×C4×C83—42no—
691C2×C4×C83—81no—
692C2×C4×C83—81no—
693C2×C4×C83—81no—
694C2×C4×C83—81no—
695C2×C4×C83—81no—
696C2×C4×C83C22×D411yescharacteristic
697C2×C4×C83C22×D411yescharacteristic
698C2×C4×C83C22×D411yescharacteristic
699C2×C4×C83C22×D411yescharacteristic
700C2×C4×C83C22×D411yescharacteristic
701C2×C4×C83C22×D411yescharacteristic
702C2×C4×C83C2511yescharacteristic
703C22⋊D83—24no—
704C22⋊D83—24no—
705C2×Dic83—21no—
706C2×Dic83—24no—
707C2×Dic83—21no—
708C2×Dic83—21no—
709C2×Dic83—21no—
710C2×Dic83—21no—
711C2×Dic83—21no—
712C2×Dic83—21no—
713C2×Dic83—42no—
714C2×Dic83—42no—
715C2×Dic83—81no—
716C2×Dic83—81no—
717C2×Dic83—81no—
718C2×Dic83—81no—
719C2×Dic83C22×D411yescharacteristic
720C2×Dic83C22×D411yescharacteristic
721C2×Dic83C22×D411yescharacteristic
722C2×Dic83C22×D411yescharacteristic
723C2×Dic83C22×D411yescharacteristic
724C2×Dic83C22×D411yescharacteristic
725C2×Dic83C22×D411yescharacteristic
726D332—21no—
727D332C22×Q812yes—
728C4×D83—22no—
729C4×D83—41no—
730C4×D83—42no—
731C4×D83—81no—
732C4×D83—81no—
733C4×D83—81no—
734C4×D83—81no—
735C4×D83—81no—
736C4×D83—81no—
737C4×D83—81no—
738C4×D83—81no—
739C4×D83C22×Q812yes—
740C4×D832−1+412yes—
741Dic166—21no—
742Dic166—22no—
743Dic166—22no—
744Dic166—41no—
745Dic166—42no—
746Dic166—42no—
747Dic166—81no—
748Dic166—81no—
749Dic166—81no—
750Dic166—81no—
751Dic166—81no—
752Dic166—81no—
753Dic166—81no—
754Dic166—81no—
755Dic166C22×Q812yes—
756C8×C83—21no—
757C8×C83—21no—
758C8×C83—21no—
759C8×C83C22×Q812yes—
760C83⋊C8—21no—
761C83⋊C8—21no—
762C83⋊C8—21no—
763C83⋊C8C22×Q812yes—
764C22×C83—22no—
765C22×C83—22no—
766C22×C83—41no—
767C22×C83—41no—
768C22×C83—41no—
769C22×C83—41no—
770C22×C83C23×D411yescharacteristic
771C2×D83—21no—
772C2×D83—21no—
773C2×D83—22no—
774C2×D83—41no—
775C2×D83—41no—
776C2×D83—84no—
777C2×D83D4×Q812yes—
778C4×C83—21no—
779C4×C83—21no—
780C4×C83—21no—
781C4×C83—21no—
782C4×C83—21no—
783C4×C83—21no—
784C4×C83—41no—
785C4×C83—41no—
786C4×C83—41no—
787C4×C83—41no—
788C4×C83—41no—
789C4×C83—41no—
790C4×C83C23×Q811yescharacteristic
791C4×C83C2×2−1+411yescharacteristic
792Dic83—21no—
793Dic83—21no—
794Dic83—21no—
795Dic83—22no—
796Dic83—21no—
797Dic83—21no—
798Dic83—41no—
799Dic83—41no—
800Dic83—41no—
801Dic83—41no—
802Dic83—41no—
803Dic83—41no—
804Dic83D4×Q812yes—
805Dic83#57712yes—
806#61382—831nomaximal, Sylow
807C2×C83—42no—
808C2×C83—42no—
809C2×C83C2×D4×Q811yescharacteristic
810C2×C83C2×#57711yescharacteristic
811C2×C83#358511yescharacteristic
812D83—22no—
813D83—42no—
814#3503—831no—
815#3501—831no—
816#3388—831no—
817#3388—831no—
818#3388—831no—
819#3388—831no—
820#3385—831no—
821#3385—831no—
822#3384—831no—
823#3384—831no—
824#3384—831no—
825#3384—831no—
826#3384—831no—
827#3384D8311yescharacteristic, complemented
828#3380—831no—
829#3380—831no—
830Q8×SD16—831no—
831Q8×SD16—831no—
832#3165—831no—
833#3163—831no—
834#3163—831no—
835#3084—831no—
836#3084—831no—
837#3081—831no—
838#3081—831no—
839#3076—831no—
840C2×#476—831no—
841#2962—831no—
842#2946—831no—
843#2946—831no—
844C4×AGL(1,ℤ/8)—831no—
845C83#6138211yescharacteristic, complemented, Sylow
846C2×AGL(1,ℤ/8)—831no—
847Q82—831no—
848Q82—831no—
849#557—831no—
850#557—831no—
851#554—831no—
852#554—831no—
853#554—831no—
854#554—831no—
855#554—831no—
856#554—831no—
857#554—831no—
858#554—1661no—
859#554—1661no—
860#554—1661no—
861#554—1661no—
862#554—1661no—
863#554C2×D8311yescharacteristic
864D4×Q8—831no—
865D4×Q8—831no—
866D4×Q8—831no—
867D4×Q8—1661no—
868D4×Q8—1661no—
869D4×Q8—1661no—
870D4×Q8C2×D8311yescharacteristic, complemented
871#544—831no—
872#544—831no—
873#544—831no—
874#544—831no—
875#544—1661no—
876#544—1661no—
877#543—1661no—
878#543—1661no—
879#533—831no—
880#533—831no—
881#533—1661no—
882C2×C4⋊Q8—831no—
883C2×C4⋊Q8—1661no—
884C2×C22⋊Q8—1661no—
885C2×C22⋊Q8—1661no—
886#520—831no—
887#520—831no—
888#518—831no—
889#518—831no—
890C4×#41—831no—
891C2×C4×D4—831no—
892#501—831no—
893#501—831no—
894#501—831no—
895#501—831no—
896#501—831no—
897#501—831no—
898#501—831no—
899#501—831no—
900#501—831no—
901#501—831no—
902#501C2×D8311yescharacteristic, complemented
903#501C2×D8311yescharacteristic, complemented
904#500—831no—
905#500—831no—
906#499—831no—
907#499—831no—
908#499—831no—
909#499—831no—
910#498—831no—
911#498—831no—
912#498—831no—
913#498—831no—
914#498—831no—
915#498C2×D8311yescharacteristic, complemented
916#479—831no—
917#479—831no—
918#479—831no—
919#479—831no—
920#479—831no—
921#479—831no—
922#478—831no—
923#478—831no—
924#478—831no—
925#478—831no—
926#478—831no—
927#478—831no—
928#478—831no—
929#478—831no—
930#478—831no—
931#478—831no—
932#478—831no—
933#478—831no—
934#478C2×D8311yescharacteristic, complemented
935#478C2×D8311yescharacteristic, complemented
936#477—831no—
937#476—831no—
938#476—831no—
939#476—831no—
940#476—831no—
941#476—831no—
942#476—831no—
943#476—831no—
944#476—831no—
945#476—831no—
946#476—831no—
947#476—831no—
948#476—831no—
949#476—831no—
950#476—831no—
951#476C2×D8311yescharacteristic
952#476C2×D8311yescharacteristic
953#476C2×D8311yescharacteristic, complemented
954#475—831no—
955#475—831no—
956#475—831no—
957#475—831no—
958#475—831no—
959#474—831no—
960#474—831no—
961#474—831no—
962#474—831no—
963#474C2×D8311yescharacteristic
964#446—831no—
965#446—831no—
966#446—831no—
967#446—831no—
968#446—831no—
969#446C2×D8311yescharacteristic, complemented
970C8×Q8—831no—
971C8×Q8—831no—
972#442—831no—
973#442—831no—
974#442—831no—
975#442—831no—
976#442C2×D8311yescharacteristic
977#442C2×D8311yescharacteristic
978#440—831no—
979#440—831no—
980#440—831no—
981#440—831no—
982#440—831no—
983#440—831no—
984C4×SD16—831no—
985C4×SD16—831no—
986C4×SD16—831no—
987C4×SD16—831no—
988C4×SD16—831no—
989C4×SD16—831no—
990C4×D8—831no—
991C4×D8—831no—
992C4×D8—831no—
993C4×D8—831no—
994C4×D8—831no—
995C4×D8C2×D8311yescharacteristic
996#428—831no—
997#428—831no—
998#428—831no—
999#428—831no—
1000#428—831no—
1001#427—831no—
1002#427—831no—
1003C2×#106—831no—
1004C2×#106—831no—
1005#424—831no—
1006#424—831no—
1007C2×C4⋊C8—831no—
1008#418—831no—
1009#417—831no—
1010#416—831no—
1011#416—831no—
1012C2×#102—831no—
1013C2×#102—831no—
1014#405—831no—
1015#405—831no—
1016C4×M16—831no—
1017C2×#41—831no—
1018C22×Q8—21no—
1019C22×Q8—1661no—
1020C22×Q8—1661no—
1021C22×Q8—1661no—
1022C22×Q8—1661no—
1023C22×D4—831no—
1024C23×C4—1661no—
1025AGL(1,ℤ/8)—838no—
1026C2×SD16—831no—
1027C2×SD16—831no—
1028C2×D8—831no—
1029C2×D8C22×D8311yescharacteristic
1030C2×M16—831no—
1031C2×M16—831no—
1032C22×C8—831no—
1033C22×C8—831no—
1034C4⋊Q8—831no—
1035C4⋊Q8—831no—
1036C4⋊Q8—831no—
1037C4⋊Q8—831no—
1038C4⋊Q8—831no—
1039C4⋊Q8—831no—
1040C4⋊Q8—831no—
1041C4⋊Q8—831no—
1042C4⋊Q8—831no—
1043C4⋊Q8—831no—
1044C4⋊Q8—831no—
1045C4⋊Q8—831no—
1046C4⋊Q8—1661no—
1047C4⋊Q8—1661no—
1048C4⋊Q8—1661no—
1049C4⋊Q8—1661no—
1050C4⋊Q8—1661no—
1051C4⋊Q8—1661no—
1052C4⋊Q8—1661no—
1053C4⋊Q8—1661no—
1054C4⋊Q8—1661no—
1055C4⋊Q8—1661no—
1056C4⋊Q8—1661no—
1057C4⋊Q8—1661no—
1058C4⋊Q8—1661no—
1059C4⋊Q8—1661no—
1060C4⋊Q8C22×D8311yescharacteristic
1061C4⋊Q8C22×D8311yescharacteristic
1062C4⋊Q8C22×D8311yescharacteristic
1063C4⋊Q8C22×D8311yescharacteristic
1064#125—831no—
1065#125—831no—
1066#125—831no—
1067#125—831no—
1068#125—831no—
1069#125—831no—
1070#125—831no—
1071#125—831no—
1072#125—831no—
1073#125—831no—
1074#125—1661no—
1075#125—1661no—
1076#125—1661no—
1077#125—1661no—
1078#125—1661no—
1079#125—1661no—
1080#125—1661no—
1081#125—1661no—
1082#125C22×D8311yescharacteristic
1083#125C22×D8311yescharacteristic
1084C22⋊Q8—21no—
1085C22⋊Q8—21no—
1086C22⋊Q8—21no—
1087C22⋊Q8—21no—
1088C22⋊Q8—21no—
1089C22⋊Q8—21no—
1090C22⋊Q8—831no—
1091C22⋊Q8—831no—
1092C22⋊Q8—831no—
1093C22⋊Q8—831no—
1094C22⋊Q8—1661no—
1095C22⋊Q8—1661no—
1096C22⋊Q8—1661no—
1097C22⋊Q8—1661no—
1098C22⋊Q8—1661no—
1099C22⋊Q8—1661no—
1100C22⋊Q8—1661no—
1101C22⋊Q8—1661no—
1102C22⋊Q8—1661no—
1103C22⋊Q8—1661no—
1104C22⋊Q8—1661no—
1105C22⋊Q8—1661no—
1106C22⋊Q8—1661no—
1107C22⋊Q8—1661no—
1108C22⋊Q8—1661no—
1109C22⋊Q8—1661no—
1110C22⋊Q8—1661no—
1111C22⋊Q8—1661no—
1112C22⋊Q8—1661no—
1113C22⋊Q8—1661no—
1114C22⋊Q8—1661no—
1115C22⋊Q8—1661no—
1116C22⋊Q8—1661no—
1117C22⋊Q8—1661no—
1118C22⋊Q8—1661no—
1119C22⋊Q8—1661no—
1120C22⋊Q8—1661no—
1121C22⋊Q8—1661no—
1122C22⋊Q8—1661no—
1123C22⋊Q8—1661no—
1124C22⋊Q8—1661no—
1125C22⋊Q8—1661no—
1126C22⋊Q8—1661no—
1127C22⋊Q8—1661no—
1128C22⋊Q8—1661no—
1129C22⋊Q8—1661no—
1130C22⋊Q8—1661no—
1131C22⋊Q8—1661no—
1132C22⋊Q8—1661no—
1133C22⋊Q8—1661no—
1134C4×Q8—831no—
1135C4×Q8—831no—
1136C4×Q8—831no—
1137C4×Q8—831no—
1138C4×Q8—831no—
1139C4×Q8—831no—
1140C4×Q8—831no—
1141C4×Q8—831no—
1142C4×Q8—831no—
1143C4×Q8—1661no—
1144C4×Q8—1661no—
1145C4×Q8—1661no—
1146C4×Q8—1661no—
1147C4×Q8—1661no—
1148C4×Q8—1661no—
1149C4×Q8C22×D8311yescharacteristic
1150C4×D4—831no—
1151C4×D4—831no—
1152C4×D4—831no—
1153C4×D4—831no—
1154C4×D4—831no—
1155C4×D4—831no—
1156C4×D4—831no—
1157C4×D4—831no—
1158C4×D4—831no—
1159C4×D4—831no—
1160C4×D4—831no—
1161C4×D4—831no—
1162C4×D4—1661no—
1163C4×D4—1661no—
1164C4×D4—1661no—
1165C4×D4—1661no—
1166C4×D4—1661no—
1167C4×D4—1661no—
1168C4×D4—1661no—
1169C4×D4—1661no—
1170C4×D4—1661no—
1171C4×D4—1661no—
1172C4×D4—1661no—
1173C4×D4—1661no—
1174C4×D4C22×D8311yescharacteristic
1175C4×D4C22×D8311yescharacteristic
1176C4×D4C22×D8311yescharacteristic
1177C4×D4C22×D8311yescharacteristic
1178C4×D4C22×D8311yescharacteristic
1179C4×D4C22×D8311yescharacteristic
1180#117—831no—
1181#117—831no—
1182#117—831no—
1183#117—831no—
1184#117—831no—
1185#117—1661no—
1186#117—1661no—
1187#117—1661no—
1188C2×C4⋊C4—21no—
1189C2×C4⋊C4—831no—
1190C2×C4⋊C4—831no—
1191C2×C4⋊C4—831no—
1192C2×C4⋊C4—1661no—
1193C2×C4⋊C4—1661no—
1194C2×C4⋊C4—1661no—
1195C2×C4⋊C4—1661no—
1196C2×C4⋊C4—1661no—
1197C2×C4⋊C4—1661no—
1198C2×C4⋊C4—1661no—
1199C2×C4⋊C4—1661no—
1200C2×C4⋊C4—1661no—
1201C2×C4⋊C4—1661no—
1202C2×C22⋊C4—1661no—
1203C2×C22⋊C4—1661no—
1204C2×C22⋊C4—1661no—
1205C2×C22⋊C4—1661no—
1206C2×C22⋊C4—1661no—
1207C2×C42—831no—
1208C2×C42—1661no—
1209#107—831no—
1210#107—831no—
1211#107—831no—
1212#107—831no—
1213#107—831no—
1214#107—831no—
1215#107—831no—
1216#107—831no—
1217#107—831no—
1218#107—831no—
1219#107—831no—
1220#107C22×D8311yescharacteristic
1221#107C22×D8311yescharacteristic
1222#107C22×D8311yescharacteristic
1223#106—831no—
1224#106—831no—
1225#106—831no—
1226#106—831no—
1227#106—831no—
1228#106—831no—
1229#106—831no—
1230#106—831no—
1231#106—831no—
1232#106—831no—
1233#106—831no—
1234#106—831no—
1235#106—831no—
1236#106—831no—
1237#106—831no—
1238#106—831no—
1239#106C22×D8311yescharacteristic
1240#106C22×D8311yescharacteristic
1241#106C22×D8311yescharacteristic
1242#106C22×D8311yescharacteristic
1243#106C22×D8311yescharacteristic
1244#106C22×D8311yescharacteristic
1245C4⋊C8—831no—
1246C4⋊C8—831no—
1247C4⋊C8—831no—
1248C4⋊C8—831no—
1249C4⋊C8—831no—
1250C4⋊C8—831no—
1251C4⋊C8—831no—
1252C4⋊C8—831no—
1253C4⋊C8—831no—
1254C4⋊C8C22×D8311yescharacteristic
1255C4⋊C8C22×D8311yescharacteristic
1256C4⋊C8C22×D8311yescharacteristic
1257#103—831no—
1258#103—831no—
1259#103—831no—
1260#103—831no—
1261#103—831no—
1262#103—831no—
1263#102—831no—
1264#102—831no—
1265#102—831no—
1266#102—831no—
1267#102—831no—
1268#102—831no—
1269#102—831no—
1270#102—831no—
1271#102—831no—
1272#102—831no—
1273#102—831no—
1274#102—831no—
1275#102C22×D8311yescharacteristic
1276#102C22×D8311yescharacteristic
1277#102C22×D8311yescharacteristic
1278#102C22×D8311yescharacteristic
1279#102C22×D8311yescharacteristic
1280#102C22×D8311yescharacteristic
1281#97—831no—
1282#97—831no—
1283#97—831no—
1284#97—831no—
1285#97C22×D8311yescharacteristic
1286#97C22×D8311yescharacteristic
1287C4×C8—831no—
1288C4×C8—831no—
1289C4×C8—831no—
1290C4×C8—831no—
1291C4×C8—831no—
1292C4×C8C22×D8311yescharacteristic
1293C24—1661no—
1294#41—834no—
1295#41—1662no—
1296C2×Q8—21no—
1297C2×Q8—21no—
1298C2×Q8—21no—
1299C2×Q8—21no—
1300C2×Q8—82no—
1301C2×Q8—831no—
1302C2×Q8—831no—
1303C2×Q8—831no—
1304C2×Q8—831no—
1305C2×Q8—6642no—
1306C2×Q8—6642no—
1307C2×Q8—6642no—
1308C2×Q8—6642no—
1309C2×Q8—1661no—
1310C2×Q8—1661no—
1311C2×Q8—1661no—
1312C2×Q8—1661no—
1313C2×Q8—1661no—
1314C2×Q8—1661no—
1315C2×Q8—1661no—
1316C2×Q8—1661no—
1317C2×Q8—1661no—
1318C2×Q8—1661no—
1319C2×Q8D4×D8311yescharacteristic
1320C2×D4—834no—
1321C2×D4—831no—
1322C2×D4—1662no—
1323C2×D4—1661no—
1324C2×D4—1661no—
1325C2×D4C23×D8311yescharacteristic
1326C2×D4C23×D8311yescharacteristic
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—831no—
1334C22×C4—831no—
1335C22×C4—831no—
1336C22×C4—6642no—
1337C22×C4—1661no—
1338C22×C4—1661no—
1339C22×C4—1661no—
1340C22×C4—1661no—
1341C22×C4—1661no—
1342C22×C4—1661no—
1343C22×C4—1661no—
1344C22×C4—1661no—
1345C22×C4—1661no—
1346C22×C4—1661no—
1347C22×C4—1661no—
1348C22×C4—1661no—
1349C22×C4—1661no—
1350C22×C4—1661no—
1351C22×C4—1661no—
1352C22×C4—1661no—
1353SD16—834no—
1354SD16—834no—
1355D8—834no—
1356D8Q8×D8314yescomplemented
1357M16—834no—
1358M16—1662no—
1359C2×C8—831no—
1360C2×C8—831no—
1361C2×C8—831no—
1362C2×C8—831no—
1363C2×C8—1662no—
1364C2×C8—1662no—
1365C2×C8C23×D8311yescharacteristic
1366C2×C8C23×D8311yescharacteristic
1367C2×C8C23×D8311yescharacteristic
1368C2×C8C23×D8311yescharacteristic
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—831no—
1378C4⋊C4—831no—
1379C4⋊C4—831no—
1380C4⋊C4—831no—
1381C4⋊C4—831no—
1382C4⋊C4—831no—
1383C4⋊C4—831no—
1384C4⋊C4—831no—
1385C4⋊C4—831no—
1386C4⋊C4—831no—
1387C4⋊C4—831no—
1388C4⋊C4—831no—
1389C4⋊C4—831no—
1390C4⋊C4—831no—
1391C4⋊C4—831no—
1392C4⋊C4—831no—
1393C4⋊C4—831no—
1394C4⋊C4—831no—
1395C4⋊C4—831no—
1396C4⋊C4—1661no—
1397C4⋊C4—1661no—
1398C4⋊C4—1661no—
1399C4⋊C4—1661no—
1400C4⋊C4—1661no—
1401C4⋊C4—1661no—
1402C4⋊C4—1661no—
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⋊C4D4×D8311yescharacteristic
1432C4⋊C4D4×D8311yescharacteristic
1433C4⋊C4D4×D8311yescharacteristic
1434C4⋊C4C23×D8311yescharacteristic
1435C4⋊C4C23×D8311yescharacteristic
1436C4⋊C4C23×D8311yescharacteristic
1437C4⋊C4C23×D8311yescharacteristic
1438C4⋊C4C23×D8311yescharacteristic
1439C4⋊C4C23×D8311yescharacteristic
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—831no—
1447C22⋊C4—831no—
1448C22⋊C4—831no—
1449C22⋊C4—831no—
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—
1465C42—831no—
1466C42—831no—
1467C42—831no—
1468C42—831no—
1469C42—831no—
1470C42—1661no—
1471C42—1661no—
1472C42—1661no—
1473C42—1661no—
1474C42—1661no—
1475C42—1661no—
1476C42—1661no—
1477C42—1661no—
1478C42—1661no—
1479C42C23×D8311yescharacteristic
1480C42C23×D8311yescharacteristic
1481C42C23×D8311yescharacteristic
1482C23—21no—
1483C23—21no—
1484C23—831no—
1485C23—6641no—
1486C23—6641no—
1487C23—1664no—
1488C23—1661no—
1489Q8—41no—
1490Q8—42no—
1491Q8—81no—
1492Q8—81no—
1493Q8—81no—
1494Q8—3322no—
1495Q8—3321no—
1496Q8—3322no—
1497Q8—832no—
1498Q8—6641no—
1499Q8—6641no—
1500Q8—6641no—
1501Q8—6641no—
1502Q8—6641no—
1503Q8—6641no—
1504Q8—6641no—
1505Q8—6641no—
1506Q8—1662no—
1507Q8—1662no—
1508Q8—1661no—
1509D4—21no—
1510D4—21no—
1511D4—832no—
1512D4—1664no—
1513D4—1664no—
1514D4—1661no—
1515D4C2×Q8×D8312yes—
1516D4C2×Q8×D8312yes—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—42no—
1524C2×C4—81no—
1525C2×C4—81no—
1526C2×C4—81no—
1527C2×C4—81no—
1528C2×C4—81no—
1529C2×C4—3321no—
1530C2×C4—3322no—
1531C2×C4—3322no—
1532C2×C4—3322no—
1533C2×C4—831no—
1534C2×C4—831no—
1535C2×C4—832no—
1536C2×C4—832no—
1537C2×C4—831no—
1538C2×C4—831no—
1539C2×C4—831no—
1540C2×C4—831no—
1541C2×C4—831no—
1542C2×C4—6641no—
1543C2×C4—6641no—
1544C2×C4—6641no—
1545C2×C4—6641no—
1546C2×C4—6641no—
1547C2×C4—6641no—
1548C2×C4—6641no—
1549C2×C4—6641no—
1550C2×C4—6641no—
1551C2×C4—6641no—
1552C2×C4—6641no—
1553C2×C4—6641no—
1554C2×C4—1662no—
1555C2×C4—1661no—
1556C2×C4—1661no—
1557C2×C4—1661no—
1558C2×C4—1661no—
1559C2×C4—1661no—
1560C2×C4—1661no—
1561C2×C4—1664no—
1562C2×C4—1661no—
1563C2×C4C2×D4×D8311yescharacteristic
1564C2×C4C2×D4×D8311yescharacteristic
1565C2×C4C2×D4×D8311yescharacteristic
1566C2×C4C2×D4×D8311yescharacteristic
1567C2×C4C2×D4×D8311yescharacteristic
1568C2×C4C2×D4×D8311yescharacteristic
1569C2×C4C24×D8311yescharacteristic
1570C8—21no—
1571C8—21no—
1572C8—21no—
1573C8—832no—
1574C8—1661no—
1575C8—1661no—
1576C8—1661no—
1577C8C2×Q8×D8312yes—
1578C22—22no—
1579C22—22no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—3321no—
1585C22—3321no—
1586C22—832no—
1587C22—6644no—
1588C22—1662no—
1589C22—1661no—
1590C22—1661no—
1591C22C22×D4×D8311yescharacteristic
1592C4—21no—
1593C4—21no—
1594C4—21no—
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—3321no—
1605C4—3321no—
1606C4—3321no—
1607C4—3321no—
1608C4—3321no—
1609C4—3321no—
1610C4—832no—
1611C4—832no—
1612C4—1662no—
1613C4—1661no—
1614C4—1661no—
1615C4—1661no—
1616C4—1661no—
1617C4—1661no—
1618C4C22×Q8×D8311yescharacteristic
1619C42−1+4×D8311yescharacteristic
1620C2—42no—
1621C2—42no—
1622C2—3322no—
1623C2—1662no—
1624C2D4×Q8×D8311yescharacteristic
1625C2#577×D8311yescharacteristic
1626C2#2492223911yescharacteristic
subgroupG/H
centerC22C22×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3384C2
socleC22×C83C23×D4
prime radicalC2×#14581816C22
hypercenter#3384D83
hypocenterC83#61382
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3384

Complements

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

NH ≅ G/Ntype
1. #24921274C2semidirect
2. #24921262C2semidirect
3. #24920410C2semidirect
4. #24920408C2semidirect
5. #24920403C2semidirect
6. #24920401C2semidirect
7. #24920370C2semidirect
8. #24920368C2semidirect
9. #24920365C2semidirect
10. #24920363C2semidirect
11. #24920363C2semidirect
12. #24920358C2semidirect
13. #24920357C2semidirect
14. #24920330C2semidirect
15. #24920325C2semidirect
16. #24920320C2semidirect
17. #24920318C2semidirect
18. #24918008C2semidirect
19. #24917990C2semidirect
20. #24917988C2semidirect
21. #24917326C2semidirect
22. #24917320C2semidirect
23. #24917289C2semidirect
24. #24917287C2semidirect
25. #24917248C2semidirect
26. #476×D83C2semidirect
27. #24916408C2semidirect
31. C83×#3384C2semidirect
33. #19128431C22semidirect
34. #19128431C22semidirect
35. #19128429C22semidirect
36. #19128426C22semidirect
40. #19128410C22semidirect
41. #19128410C22semidirect
50. D4×Dic166C22semidirect
76. #19128111C22semidirect
77. #19128110C22semidirect
78. #19128110C22semidirect
79. #19128109C22semidirect
80. #19128108C22semidirect
81. #19128108C22semidirect
82. #19128108C22semidirect
83. #19128107C22semidirect
84. #19128107C22semidirect
85. #19128107C22semidirect
86. #19128105C22semidirect
87. #19128105C22semidirect
88. #19128103C22semidirect
89. #19128102C22semidirect
90. #19128101C22semidirect
91. #19128100C22semidirect
92. #19128098C22semidirect
93. #19128098C22semidirect
94. #19128098C22semidirect
95. #19128098C22semidirect
96. #19128097C22semidirect
97. #19128011C22semidirect
98. #19128009C22semidirect
99. #19128009C22semidirect
100. #19128007C22semidirect
101. #19128005C22semidirect
102. #19128005C22semidirect
105. #19128003C22semidirect
110. #19128001C22semidirect
111. #19128001C22semidirect
114. #19127999C22semidirect
115. #19127995C22semidirect
118. #19127991C22semidirect
125. #19127989C22semidirect
126. #19127989C22semidirect
127. #19127989C22semidirect
130. #19127987C22semidirect
131. #19127985C22semidirect
132. #19127985C22semidirect
133. #19127985C22semidirect
134. #19127983C22semidirect
137. #19127979C22semidirect
139. #19127832C22semidirect
140. #19127830C22semidirect
141. #19127830C22semidirect
142. #19127829C22semidirect
143. #19127829C22semidirect
144. C8×Dic166C22semidirect
145. #19127825C22semidirect
189. D4×Q8×C83C22semidirect
190. #501×C83C22semidirect
191. #501×C83C22semidirect
192. #498×C83C22semidirect
193. #478×C83C22semidirect
194. #478×C83C22semidirect
197. #476×C83C22semidirect
199. #446×C83C22semidirect
210. #14581816Q8semidirect
481. #13050589C2×Q8semidirect
504. D4×D83C2×Q8semidirect
525. #13050579C2×Q8semidirect
526. #13050578C2×Q8semidirect
527. #13050575C2×Q8semidirect
529. #13050573C2×Q8semidirect
637. D8×C83C2×Q8semidirect
827. #3384D83semidirect
845. C83#61382semidirect
870. D4×Q8C2×D83semidirect
902. #501C2×D83semidirect
903. #501C2×D83semidirect
915. #498C2×D83semidirect
934. #478C2×D83semidirect
935. #478C2×D83semidirect
953. #476C2×D83semidirect
969. #446C2×D83semidirect
1356. D8Q8×D83semidirect

Maximal subgroups

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

subgroupindex
#249212742
#249212622
#249204102
#249204082
#249204032
#249204012
#249203702
#249203682
#249203652
#249203632
#249203582
#249203572
#249203302
#249203252
#249203202
#249203182
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