Finite Group Databasebeta

← #36297706

Subgroups — #36297706

Order 21248.

1838 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921908C211yesmaximal, characteristic, complemented
2#24920523C211yesmaximal, characteristic, complemented
3#24920516C211yesmaximal, characteristic, complemented
4#24920290C211yesmaximal, characteristic, complemented
5#24920244C211yesmaximal, characteristic, complemented
6#24919628C211yesmaximal, characteristic, complemented
7#24919508C211yesmaximal, characteristic, complemented
8#24919448C211yesmaximal, characteristic, complemented
9#24919433C211yesmaximal, characteristic, complemented
10#24919344C211yesmaximal, characteristic, complemented
11#24919322C211yesmaximal, characteristic, complemented
12#24919166C211yesmaximal, characteristic, complemented
13D4×#13050578C211yesmaximal, characteristic, complemented
14#24918984C211yesmaximal, characteristic, complemented
15#24918969C211yesmaximal, characteristic, complemented
16#24918969C211yesmaximal, characteristic, complemented
17#24918954C211yesmaximal, characteristic, complemented
18#24918909C211yesmaximal, characteristic, complemented
19#24918889C211yesmaximal, characteristic, complemented
20#24918810C211yesmaximal, characteristic, complemented
21#24918566C211yesmaximal, characteristic, complemented
22#24918518C211yesmaximal, characteristic, complemented
23#24918487C211yesmaximal, characteristic, complemented
24#24917715C211yesmaximal, characteristic, complemented
25#24917677C211yesmaximal, characteristic, complemented
26#24917601C211yesmaximal, characteristic, complemented
27#24917013C211yesmaximal, characteristic, complemented
28#24916975C211yesmaximal, characteristic, complemented
29C2×#19127906C211yesmaximal, characteristic, complemented
30#24916602C211yesmaximal, characteristic, complemented
31C83×#3513C211yesmaximal, characteristic, complemented
32C2×#14581822C2211yescharacteristic
33C2×#14581818C2211yescharacteristic
34C2×#14581812C2211yescharacteristic
35C22×#13050578C2211yescharacteristic
36C22×#13050578C2211yescharacteristic
37C22×#13050578C2211yescharacteristic
38#19128453—21no—
39#19128453—21no—
40#19128430C2211yescharacteristic, complemented
41#19128424C2211yescharacteristic, complemented
42#19128409—21no—
43#19128403—21no—
44D4×Dic166C2211yescharacteristic
45D4×Dic166C2211yescharacteristic, complemented
46D4×Dic166C2211yescharacteristic, complemented
47#19128360C2211yescharacteristic
48#19128360C2211yescharacteristic, complemented
49#19128356C2211yescharacteristic, complemented
50#19128331—21no—
51#19128320—21no—
52#19128313C2211yescharacteristic, complemented
53#19128313C2211yescharacteristic, complemented
54#19128295—21no—
55#19128295—21no—
56#19128277C2211yescharacteristic, complemented
57#19128277C2211yescharacteristic, complemented
58C2×#14581792C2211yescharacteristic, complemented
59#19128235C2211yescharacteristic, complemented
60#19128096C2211yescharacteristic, complemented
61#19128096C2211yescharacteristic, complemented
62#19128096C2211yescharacteristic, complemented
63#19128088C2211yescharacteristic
64#19128083C2211yescharacteristic, complemented
65#19128073C2211yescharacteristic
66#19128071C2211yescharacteristic, complemented
67#19128071C2211yescharacteristic, complemented
68#19128071C2211yescharacteristic, complemented
69#19128063C2211yescharacteristic, complemented
70#19128058C2211yescharacteristic, complemented
71#19128053C2211yescharacteristic, complemented
72#19128042C2211yescharacteristic, complemented
73#19128042C2211yescharacteristic, complemented
74#19128036C2211yescharacteristic, complemented
75#19128031C2211yescharacteristic, complemented
76#19128031C2211yescharacteristic, complemented
77#19128014C2211yescharacteristic, complemented
78#19128008C2211yescharacteristic, complemented
79#19128005C2211yescharacteristic, complemented
80#19128005C2211yescharacteristic, complemented
81#19128005C2211yescharacteristic, complemented
82#19128001C2211yescharacteristic
83#19128001C2211yescharacteristic, complemented
84#19128001C2211yescharacteristic, complemented
85#19127998C2211yescharacteristic, complemented
86#19127993C2211yescharacteristic, complemented
87#19127983C2211yescharacteristic, complemented
88#19127957C2211yescharacteristic, complemented
89#19127945C2211yescharacteristic
90#19127945C2211yescharacteristic, complemented
91#19127945C2211yescharacteristic, complemented
92#19127940C2211yescharacteristic, complemented
93#19127940C2211yescharacteristic, complemented
94#19127935C2211yescharacteristic
95#19127932C2211yescharacteristic, complemented
96#19127928C2211yescharacteristic
97#19127928C2211yescharacteristic
98#19127928C2211yescharacteristic, complemented
99#19127928C2211yescharacteristic, complemented
100#19127923C2211yescharacteristic, complemented
101#19127923C2211yescharacteristic, complemented
102#19127920C2211yescharacteristic, complemented
103#19127920C2211yescharacteristic, complemented
104#19127920C2211yescharacteristic, complemented
105#19127916C2211yescharacteristic
106#19127916C2211yescharacteristic
107#19127916C2211yescharacteristic
108#19127916C2211yescharacteristic, complemented
109#19127916C2211yescharacteristic, complemented
110#19127916C2211yescharacteristic, complemented
111#19127913C2211yescharacteristic, complemented
112#19127911C2211yescharacteristic, complemented
113#19127911C2211yescharacteristic, complemented
114#19127911C2211yescharacteristic, complemented
115#19127906C2211yescharacteristic
116#19127906C2211yescharacteristic
117#19127906C2211yescharacteristic
118#19127906C2211yescharacteristic
119#19127906C2211yescharacteristic
120#19127906C2211yescharacteristic
121#19127906C2211yescharacteristic, complemented
122#19127906C2211yescharacteristic, complemented
123#19127906C2211yescharacteristic, complemented
124#19127906C2211yescharacteristic, complemented
125#19127906C2211yescharacteristic, complemented
126#19127906C2211yescharacteristic, complemented
127#19127906C2211yescharacteristic, complemented
128#19127898C2211yescharacteristic
129#19127898C2211yescharacteristic
130#19127863C2211yescharacteristic
131#19127863C2211yescharacteristic
132#19127861C2211yescharacteristic, complemented
133#19127856C2211yescharacteristic, complemented
134#19127856C2211yescharacteristic, complemented
135#19127856C2211yescharacteristic, complemented
136#19127852C2211yescharacteristic
137#19127852C2211yescharacteristic
138#19127852C2211yescharacteristic
139#19127844C2211yescharacteristic
140#19127844C2211yescharacteristic, complemented
141#19127844C2211yescharacteristic, complemented
142#19127839C2211yescharacteristic
143#19127839C2211yescharacteristic
144#19127839C2211yescharacteristic
145#19127839C2211yescharacteristic, complemented
146#19127839C2211yescharacteristic, complemented
147#19127835C2211yescharacteristic
148#19127832C2211yescharacteristic, complemented
149#19127832C2211yescharacteristic, complemented
150#19127811C2211yescharacteristic
151#19127811C2211yescharacteristic, complemented
152#19127806C2211yescharacteristic, complemented
153#19127801C2211yescharacteristic
154#19127801C2211yescharacteristic
155#19127801C2211yescharacteristic
156#19127801C2211yescharacteristic, complemented
157#19127801C2211yescharacteristic, complemented
158C4×#13050580C2211yescharacteristic, complemented
159C4×#13050578C2211yescharacteristic
160C4×#13050578C2211yescharacteristic
161C4×#13050578C2211yescharacteristic, complemented
162#19127773C2211yescharacteristic
163#19127773C2211yescharacteristic, complemented
164#19127773C2211yescharacteristic, complemented
165#19127773C2211yescharacteristic, complemented
166D4×C83⋊C8C2211yescharacteristic
167D4×C83⋊C8C2211yescharacteristic, complemented
168#19127762C2211yescharacteristic, complemented
169#19127762C2211yescharacteristic, complemented
170#19127758C2211yescharacteristic, complemented
171#19127728C2211yescharacteristic, complemented
172#19127728C2211yescharacteristic, complemented
173C2×C4⋊(C83⋊C8)C2211yescharacteristic, complemented
174#19127709C2211yescharacteristic, complemented
175#19127700C2211yescharacteristic, complemented
176#19127695C2211yescharacteristic, complemented
177C2×#14581715C2211yescharacteristic, complemented
178C2×#14581715C2211yescharacteristic, complemented
179C2×#14581715C2211yescharacteristic, complemented
180#559×C83C2211yescharacteristic
181#554×C83C2211yescharacteristic
182#553×C83—21no—
183#553×C83C2211yescharacteristic
184#552×C83C2211yescharacteristic
185#551×C83—21no—
186#551×C83—21no—
187#547×C83C2211yescharacteristic
188#546×C83—21no—
189#546×C83C2211yescharacteristic
190#546×C83C2211yescharacteristic
191D42×C83C2211yescharacteristic
192#542×C83C2211yescharacteristic
193#540×C83C2211yescharacteristic
194#539×C83—21no—
195#538×C83—21no—
196#529×C83C2211yescharacteristic
197#529×C83C2211yescharacteristic
198#525×C83—21no—
199C2×#123×C83—21no—
200#520×C83C2211yescharacteristic
201#518×C83C2211yescharacteristic
202C2×C4×D4×C83C2211yescharacteristic
203C2×#13050590C2311yescharacteristic
204C2×#13050590C2311yescharacteristic
205C22×Dic166C2311yescharacteristic
206C22×Dic166C2311yescharacteristic
207C22×Dic166C2311yescharacteristic
208C22×Dic166C2311yescharacteristic
209#14581822—42no—
210#14581818—42no—
211#14581812—42no—
212C2×#13050580C2311yescharacteristic
213C2×#13050580C2311yescharacteristic
214C2×#13050580C2311yescharacteristic
215C2×#13050580C2311yescharacteristic
216C2×#13050580C2311yescharacteristic
217C2×#13050578—42no—
218C2×#13050578—42no—
219C2×#13050578—42no—
220C2×#13050578C2311yescharacteristic
221C2×#13050578C2311yescharacteristic
222C2×#13050578C2311yescharacteristic
223C2×#13050578C2311yescharacteristic
224C2×#13050578C2311yescharacteristic
225C2×#13050578C2311yescharacteristic
226C2×#13050578C2311yescharacteristic
227C2×#13050578C2311yescharacteristic
228C2×#13050578C2311yescharacteristic
229C2×#13050578C2311yescharacteristic
230C2×#13050578C2311yescharacteristic
231C2×#13050578C2311yescharacteristic
232C2×#13050578C2311yescharacteristic
233C2×#13050578C2311yescharacteristic
234C2×#13050578C2311yescharacteristic
235C2×#13050577C2311yescharacteristic
236C2×#13050575C2311yescharacteristic
237C2×#13050575C2311yescharacteristic
238C2×#13050575C2311yescharacteristic
239C2×#13050574C2311yescharacteristic
240C2×#13050574C2311yescharacteristic
241C22×C83⋊C8C2311yescharacteristic
242C22×C83⋊C8C2311yescharacteristic
243C22×C83⋊C8C2311yescharacteristic
244C22×C83⋊C8C2311yescharacteristic
245#14581792—21no—
246#14581792—21no—
247#14581792C2311yescharacteristic
248#14581792C2311yescharacteristic
249#14581792C2311yescharacteristic
250#14581792C2311yescharacteristic
251#14581792C2311yescharacteristic
252#14581792C2311yescharacteristic
253#14581791—21no—
254#14581791—21no—
255#14581791—21no—
256#14581787—21no—
257#14581787—21no—
258#14581786—21no—
259#14581785—21no—
260#14581785—21no—
261#14581785—21no—
262#14581785—21no—
263#14581784C2311yescharacteristic
264#14581783—21no—
265#14581783—21no—
266#14581783—21no—
267#14581782—21no—
268#14581782—21no—
269#14581782—21no—
270#14581782—21no—
271#14581780C2311yescharacteristic
272#14581780C2311yescharacteristic
273#14581780C2311yescharacteristic
274#14581778—21no—
275#14581778—21no—
276#14581776—21no—
277#14581776—21no—
278#14581776—21no—
279#14581776—21no—
280#14581775—21no—
281#14581774—21no—
282#14581774—21no—
283#14581772—21no—
284#14581772—21no—
285#14581772—21no—
286#14581772—21no—
287#14581771C2311yescharacteristic
288#14581771C2311yescharacteristic
289#14581771C2311yescharacteristic
290#14581771C2311yescharacteristic
291#14581771C2311yescharacteristic
292#14581770—21no—
293#14581770—21no—
294#14581769—21no—
295#14581769—21no—
296#14581769—21no—
297#14581769—21no—
298#14581769—21no—
299#14581769—21no—
300#14581768—21no—
301#14581766C2311yescharacteristic
302#14581764—21no—
303#14581764—21no—
304#14581763—21no—
305Q8×Dic83—21no—
306C4×Dic166C2311yescharacteristic
307C4×Dic166C2311yescharacteristic
308C4×Dic166C2311yescharacteristic
309C4×Dic166C2311yescharacteristic
310C4×Dic166C2311yescharacteristic
311C4×D332C2311yescharacteristic
312D4×Dic83—21no—
313D4×Dic83—21no—
314D4×Dic83—21no—
315C4×C22⋊D83—21no—
316(C22⋊D83)⋊C4—21no—
317(C22⋊D83)⋊C4—21no—
318#14581750—21no—
319#14581749—21no—
320C2×C4⋊Dic83—21no—
321C2×C4⋊Dic83—21no—
322C4⋊C4×D83—21no—
323#14581725C2311yescharacteristic
324#14581725C2311yescharacteristic
325#14581725C2311yescharacteristic
326#14581725C2311yescharacteristic
327#14581723C2311yescharacteristic
328#14581723C2311yescharacteristic
329#14581723C2311yescharacteristic
330#14581723C2311yescharacteristic
331C4⋊(C83⋊C8)C2311yescharacteristic
332C4⋊(C83⋊C8)C2311yescharacteristic
333C4⋊(C83⋊C8)C2311yescharacteristic
334C4⋊(C83⋊C8)C2311yescharacteristic
335C4⋊(C83⋊C8)C2311yescharacteristic
336C4⋊(C83⋊C8)C2311yescharacteristic
337C4⋊(C83⋊C8)C2311yescharacteristic
338C4⋊(C83⋊C8)C2311yescharacteristic
339C4⋊(C83⋊C8)C2311yescharacteristic
340C4⋊(C83⋊C8)C2311yescharacteristic
341#14581716C2311yescharacteristic
342#14581716C2311yescharacteristic
343#14581715C2311yescharacteristic
344#14581715C2311yescharacteristic
345#14581715C2311yescharacteristic
346#14581715C2311yescharacteristic
347#14581715C2311yescharacteristic
348#14581715C2311yescharacteristic
349#14581715C2311yescharacteristic
350#14581715C2311yescharacteristic
351#14581715C2311yescharacteristic
352#14581715C2311yescharacteristic
353#14581715C2311yescharacteristic
354#14581715C2311yescharacteristic
355#14581715C2311yescharacteristic
356#14581715C2311yescharacteristic
357#14581715C2311yescharacteristic
358#14581715C2311yescharacteristic
359#14581715C2311yescharacteristic
360#14581715C2311yescharacteristic
361#14581715C2311yescharacteristic
362#14581715C2311yescharacteristic
363#14581713C2311yescharacteristic
364#14581713C2311yescharacteristic
365#14581713C2311yescharacteristic
366#14581713C2311yescharacteristic
367#14581713C2311yescharacteristic
368#14581713C2311yescharacteristic
369#14581712C2311yescharacteristic
370#14581712C2311yescharacteristic
371#14581712C2311yescharacteristic
372#14581712C2311yescharacteristic
373C22⋊(C83⋊C8)C2311yescharacteristic
374C22⋊(C83⋊C8)C2311yescharacteristic
375C22⋊(C83⋊C8)C2311yescharacteristic
376C22⋊(C83⋊C8)C2311yescharacteristic
377C22⋊(C83⋊C8)C2311yescharacteristic
378C22⋊(C83⋊C8)C2311yescharacteristic
379#14581703C2311yescharacteristic
380#14581703C2311yescharacteristic
381#14581703C2311yescharacteristic
382#14581703C2311yescharacteristic
383C4×C83⋊C8C2311yescharacteristic
384C4×C83⋊C8C2311yescharacteristic
385C2×#41×C83—21no—
386C2×#41×C83C2311yescharacteristic
387C22×D4×C83—21no—
388C22×D4×C83C2311yescharacteristic
389C22×D4×C83C2311yescharacteristic
390C23×C4×C83—21no—
391C4⋊Q8×C83C2311yescharacteristic
392#127×C83C2311yescharacteristic
393#126×C83—21no—
394#126×C83—21no—
395#126×C83—21no—
396#126×C83—21no—
397#126×C83D411yescharacteristic
398#126×C83D411yescharacteristic
399#125×C83—21no—
400#125×C83D411yescharacteristic
401#125×C83C2311yescharacteristic
402#125×C83C2311yescharacteristic
403#124×C83—21no—
404#124×C83—21no—
405#124×C83D411yescharacteristic
406#124×C83C2311yescharacteristic
407#124×C83C2311yescharacteristic
408#123×C83—21no—
409#123×C83—21no—
410#123×C83—21no—
411#123×C83—21no—
412#123×C83—21no—
413#123×C83—21no—
414#123×C83—21no—
415#123×C83—21no—
416#123×C83—21no—
417#123×C83—21no—
418#123×C83—21no—
419#123×C83—21no—
420#123×C83D411yescharacteristic
421#123×C83D411yescharacteristic
422C22⋊Q8×C83—21no—
423C22⋊Q8×C83—21no—
424C22⋊Q8×C83—21no—
425C22⋊Q8×C83—21no—
426C22⋊Q8×C83—21no—
427C22⋊Q8×C83D411yescharacteristic
428C22⋊Q8×C83C2311yescharacteristic
429C22⋊Q8×C83C2311yescharacteristic
430#121×C83—21no—
431#121×C83—21no—
432#121×C83—21no—
433#121×C83—21no—
434#121×C83—21no—
435#121×C83—21no—
436#121×C83D411yescharacteristic
437#121×C83C2311yescharacteristic
438#121×C83C2311yescharacteristic
439#121×C83C2311yescharacteristic
440#121×C83C2311yescharacteristic
441#120×C83—21no—
442#120×C83—21no—
443#120×C83—21no—
444#120×C83—21no—
445C4×Q8×C83C2311yescharacteristic
446C4×Q8×C83C2311yescharacteristic
447C4×Q8×C83C2311yescharacteristic
448C4×D4×C83—21no—
449C4×D4×C83—21no—
450C4×D4×C83—21no—
451C4×D4×C83—21no—
452C4×D4×C83—21no—
453C4×D4×C83—21no—
454C4×D4×C83—21no—
455C4×D4×C83—21no—
456C4×D4×C83—21no—
457C4×D4×C83C2311yescharacteristic
458C4×D4×C83C2311yescharacteristic
459C4×D4×C83C2311yescharacteristic
460C4×D4×C83C2311yescharacteristic
461C4×D4×C83C2311yescharacteristic
462C4×D4×C83C2311yescharacteristic
463C4×D4×C83C2311yescharacteristic
464C4×D4×C83C2311yescharacteristic
465C4×D4×C83C2311yescharacteristic
466C4×D4×C83C2311yescharacteristic
467C4×D4×C83C2311yescharacteristic
468#117×C83—21no—
469#117×C83—21no—
470#117×C83—21no—
471#117×C83C2311yescharacteristic
472#117×C83C2311yescharacteristic
473#117×C83C2311yescharacteristic
474C2×C4⋊C4×C83—21no—
475C2×C4⋊C4×C83—21no—
476C2×C4⋊C4×C83C2311yescharacteristic
477C2×C4⋊C4×C83C2311yescharacteristic
478C2×C22⋊C4×C83—21no—
479C2×C22⋊C4×C83—21no—
480C2×C22⋊C4×C83—21no—
481C2×C22⋊C4×C83—21no—
482C2×C22⋊C4×C83—21no—
483C2×C42×C83C2311yescharacteristic
484#13050590—41no—
485#13050590—41no—
486#13050590—41no—
487#13050590—41no—
488C2×Dic166—21no—
489C2×Dic166—21no—
490C2×Dic166—21no—
491C2×Dic166—21no—
492C2×Dic166—41no—
493C2×Dic166—41no—
494C2×Dic166—41no—
495C2×Dic166—41no—
496C2×Dic166—41no—
497C2×Dic166—41no—
498C2×Dic166—41no—
499C2×Dic166—41no—
500C2×Dic166C2411yescharacteristic
501C2×Dic166C2411yescharacteristic
502C2×Dic166C2411yescharacteristic
503C2×Dic166C2411yescharacteristic
504C2×Dic166C2411yescharacteristic
505C2×D332C2411yescharacteristic
506C2×C22⋊D83—21no—
507C2×C22⋊D83—21no—
508C2×C22⋊D83—21no—
509C22×Dic83—21no—
510C22×Dic83—21no—
511C22×Dic83—21no—
512C22×Dic83—21no—
513C2×C4×D83—21no—
514C2×C4×D83—21no—
515C2×C4×D83—21no—
516#13050580—41no—
517#13050580—41no—
518#13050580—41no—
519#13050580—41no—
520#13050580—41no—
521#13050578—22no—
522#13050578—22no—
523#13050578—22no—
524#13050578—22no—
525#13050578—22no—
526#13050578—41no—
527#13050578—41no—
528#13050578—41no—
529#13050578—41no—
530#13050578—41no—
531#13050578—41no—
532#13050578—41no—
533#13050578—41no—
534#13050578—41no—
535#13050578—41no—
536#13050577—41no—
537#13050575—22no—
538#13050575—41no—
539#13050575—41no—
540#13050574—41no—
541#13050574—41no—
542C2×C83⋊C8—41no—
543C2×C83⋊C8—41no—
544C2×C83⋊C8—41no—
545C2×C83⋊C8—41no—
546C2×C83⋊C8C2411yescharacteristic
547C2×C83⋊C8C2411yescharacteristic
548C2×C83⋊C8C2411yescharacteristic
549C2×C83⋊C8C2411yescharacteristic
550C2×C83⋊C8C2411yescharacteristic
551C2×C83⋊C8C2411yescharacteristic
552C2×C83⋊C8C2411yescharacteristic
553C2×C83⋊C8C2411yescharacteristic
554C4⋊Dic83—21no—
555C4⋊Dic83—21no—
556C4⋊Dic83—21no—
557C4⋊Dic83—21no—
558C4⋊Dic83—21no—
559C4⋊Dic83—21no—
560C4⋊Dic83—21no—
561C4⋊Dic83—21no—
562C4⋊Dic83—21no—
563C4⋊Dic83—21no—
564C4⋊Dic83—21no—
565C4⋊Dic83—21no—
566C4⋊Dic83C2411yescharacteristic
567C4⋊Dic83C2411yescharacteristic
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—
580C22⋊Dic83—21no—
581C22⋊Dic83—21no—
582C22⋊Dic83—21no—
583C22⋊Dic83—21no—
584C22⋊Dic83—21no—
585(C2×D83)⋊C4—21no—
586(C2×D83)⋊C4—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—
593C4×Dic83—21no—
594C4×Dic83—21no—
595C4×Dic83—21no—
596C4×Dic83—21no—
597C4×Dic83—21no—
598C24×C83—21no—
599C24×C83—21no—
600#41×C83—22no—
601#41×C83—41no—
602#41×C83—82no—
603C2×Q8×C83—21no—
604C2×Q8×C83C2×D411yescharacteristic
605C2×Q8×C83C2411yescharacteristic
606C2×D4×C83—22no—
607C2×D4×C83—22no—
608C2×D4×C83—21no—
609C2×D4×C83—21no—
610C2×D4×C83—21no—
611C2×D4×C83—21no—
612C2×D4×C83—21no—
613C2×D4×C83—21no—
614C2×D4×C83—21no—
615C2×D4×C83—21no—
616C2×D4×C83—21no—
617C2×D4×C83—41no—
618C2×D4×C83—41no—
619C2×D4×C83—82no—
620C2×D4×C83C2×D411yescharacteristic
621C2×D4×C83C2×D411yescharacteristic
622C2×D4×C83C2×D411yescharacteristic
623C2×D4×C83C2411yescharacteristic
624C2×D4×C83C2411yescharacteristic
625C2×D4×C83C2411yescharacteristic
626C22×C4×C83—21no—
627C22×C4×C83—21no—
628C22×C4×C83—21no—
629C22×C4×C83—21no—
630C22×C4×C83—21no—
631C22×C4×C83—21no—
632C22×C4×C83—21no—
633C22×C4×C83—21no—
634C22×C4×C83—21no—
635C22×C4×C83—21no—
636C22×C4×C83—21no—
637C22×C4×C83—82no—
638C22×C4×C83C2×D411yescharacteristic
639C22×C4×C83C2×D411yescharacteristic
640C22×C4×C83C2411yescharacteristic
641C22×C4×C83C2411yescharacteristic
642C22×C4×C83C2411yescharacteristic
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×C83—21no—
651C4⋊C4×C83—21no—
652C4⋊C4×C83—21no—
653C4⋊C4×C83—21no—
654C4⋊C4×C83C2×D411yescharacteristic
655C4⋊C4×C83C2×D411yescharacteristic
656C4⋊C4×C83C2×D411yescharacteristic
657C4⋊C4×C83C2×D411yescharacteristic
658C4⋊C4×C83C2×D411yescharacteristic
659C4⋊C4×C83C2×D411yescharacteristic
660C4⋊C4×C83C2×D411yescharacteristic
661C4⋊C4×C83C2×D411yescharacteristic
662C4⋊C4×C83C2×D411yescharacteristic
663C4⋊C4×C83C2×D411yescharacteristic
664C4⋊C4×C83C2411yescharacteristic
665C4⋊C4×C83C2411yescharacteristic
666C4⋊C4×C83C2411yescharacteristic
667C4⋊C4×C83C2411yescharacteristic
668C22⋊C4×C83—21no—
669C22⋊C4×C83—21no—
670C22⋊C4×C83—21no—
671C22⋊C4×C83—21no—
672C22⋊C4×C83—21no—
673C22⋊C4×C83—21no—
674C22⋊C4×C83—21no—
675C22⋊C4×C83—21no—
676C22⋊C4×C83—21no—
677C22⋊C4×C83—21no—
678C22⋊C4×C83—21no—
679C22⋊C4×C83—21no—
680C22⋊C4×C83—21no—
681C22⋊C4×C83—21no—
682C22⋊C4×C83—21no—
683C22⋊C4×C83—21no—
684C22⋊C4×C83—21no—
685C22⋊C4×C83—21no—
686C22⋊C4×C83—21no—
687C22⋊C4×C83C2×D411yescharacteristic
688C22⋊C4×C83C2×D411yescharacteristic
689C22⋊C4×C83C2×D411yescharacteristic
690C22⋊C4×C83C2×D411yescharacteristic
691C22⋊C4×C83C2×D411yescharacteristic
692C22⋊C4×C83C2×D411yescharacteristic
693C22⋊C4×C83C2×D411yescharacteristic
694C22⋊C4×C83C2×D411yescharacteristic
695C22⋊C4×C83C2×D411yescharacteristic
696C22⋊C4×C83C2×D411yescharacteristic
697C42×C83—21no—
698C42×C83—21no—
699C42×C83—21no—
700C42×C83C2×D411yescharacteristic
701C42×C83C2×D411yescharacteristic
702C42×C83C2411yescharacteristic
703C42×C83C2411yescharacteristic
704C42×C83C2411yescharacteristic
705C42×C83C2411yescharacteristic
706C23×C83—21no—
707C23×C83—21no—
708C23×C83—21no—
709C23×C83—42no—
710C23×C83—42no—
711C23×C83—42no—
712C23×C83—81no—
713C23×C83—81no—
714C23×C83—81no—
715C23×C83C22×D411yescharacteristic
716C23×C83C22×D411yescharacteristic
717C23×C83C22×D411yescharacteristic
718C22×D83—21no—
719Q8×C83—21no—
720Q8×C83—21no—
721Q8×C83—41no—
722Q8×C83—81no—
723D4×C83—22no—
724D4×C83—22no—
725D4×C83—21no—
726D4×C83—21no—
727D4×C83—21no—
728D4×C83—21no—
729D4×C83—21no—
730D4×C83—41no—
731D4×C83—42no—
732D4×C83—42no—
733D4×C83—42no—
734D4×C83—42no—
735D4×C83—81no—
736D4×C83—81no—
737D4×C83—81no—
738D4×C83—81no—
739D4×C83—81no—
740D4×C83H(5,𝔽2)12yes—
741C2×C4×C83—22no—
742C2×C4×C83—21no—
743C2×C4×C83—21no—
744C2×C4×C83—21no—
745C2×C4×C83—21no—
746C2×C4×C83—21no—
747C2×C4×C83—21no—
748C2×C4×C83—21no—
749C2×C4×C83—21no—
750C2×C4×C83—21no—
751C2×C4×C83—21no—
752C2×C4×C83—21no—
753C2×C4×C83—41no—
754C2×C4×C83—42no—
755C2×C4×C83—42no—
756C2×C4×C83—81no—
757C2×C4×C83—81no—
758C2×C4×C83—81no—
759C2×C4×C83—81no—
760C2×C4×C83—81no—
761C2×C4×C83—81no—
762C2×C4×C83—81no—
763C2×C4×C83—81no—
764C2×C4×C83—81no—
765C2×C4×C83C22×D411yescharacteristic
766C2×C4×C83C22×D411yescharacteristic
767C2×C4×C83C22×D411yescharacteristic
768C2×C4×C83C22×D411yescharacteristic
769C2×C4×C83C22×D411yescharacteristic
770C2×C4×C83C22×D411yescharacteristic
771C2×C4×C83C22×D411yescharacteristic
772C2×C4×C83C22×D411yescharacteristic
773C2×C4×C83C22×D411yescharacteristic
774C2×C4×C83C22×D411yescharacteristic
775C2×C4×C83C22×D411yescharacteristic
776C2×C4×C83C2511yescharacteristic
777C22⋊D83—42no—
778C22⋊D83—81no—
779C22⋊D83—81no—
780C2×Dic83—21no—
781C2×Dic83—21no—
782C2×Dic83—21no—
783C2×Dic83—21no—
784C2×Dic83—21no—
785C2×Dic83—21no—
786C2×Dic83—21no—
787C2×Dic83—81no—
788C2×Dic83—81no—
789C2×Dic83—81no—
790C2×Dic83—81no—
791D332—21no—
792D332—21no—
793C4×D83—42no—
794C4×D83—81no—
795C4×D83—81no—
796Dic166—21no—
797Dic166—21no—
798Dic166—21no—
799Dic166—21no—
800Dic166—21no—
801Dic166—21no—
802Dic166—21no—
803Dic166—21no—
804Dic166—21no—
805Dic166—21no—
806Dic166—81no—
807Dic166—81no—
808Dic166—81no—
809Dic166—81no—
810C83⋊C8—21no—
811C83⋊C8—21no—
812C83⋊C8—21no—
813C83⋊C8—21no—
814C83⋊C8—21no—
815C83⋊C8—21no—
816C83⋊C8—21no—
817C83⋊C8—21no—
818C22×C83—21no—
819C22×C83—21no—
820C22×C83—21no—
821C22×C83—21no—
822C22×C83—21no—
823C22×C83—21no—
824C22×C83—22no—
825C22×C83—21no—
826C22×C83—21no—
827C22×C83—41no—
828C22×C83—41no—
829C22×C83—41no—
830C22×C83—41no—
831C22×C83—41no—
832C22×C83—41no—
833C22×C83—41no—
834C22×C83—41no—
835C22×C83—84no—
836C22×C83—162no—
837C22×C83#57712yes—
838C22×C83C23×D411yescharacteristic
839C2×D83—41no—
840C2×D83—41no—
841C2×D83—41no—
842C4×C83—21no—
843C4×C83—21no—
844C4×C83—21no—
845C4×C83—21no—
846C4×C83—21no—
847C4×C83—21no—
848C4×C83—21no—
849C4×C83—21no—
850C4×C83—21no—
851C4×C83—21no—
852C4×C83—21no—
853C4×C83—41no—
854C4×C83—41no—
855C4×C83—41no—
856C4×C83—41no—
857C4×C83—41no—
858C4×C83C2×H(5,𝔽2)11yescharacteristic
859C4×C83#58511yescharacteristic
860Dic83—41no—
861Dic83—41no—
862Dic83—41no—
863Dic83—41no—
864Dic83—41no—
865Dic83—41no—
866Dic83—41no—
867#62008—831nomaximal, Sylow
868C2×C83—22no—
869C2×C83—41no—
870C2×C83—41no—
871C2×C83—42no—
872C2×C83—81no—
873C2×C83—81no—
874C2×C83#348811yescharacteristic
875C2×C83C2×#57711yescharacteristic
876C2×C83#358611yescharacteristic
877D83—81no—
878#3552—831no—
879#3513D8311yescharacteristic, complemented
880#3401—831no—
881#3400—831no—
882#3376—831no—
883#3372—831no—
884#3320—831no—
885#3312—831no—
886#3308—831no—
887#3307—831no—
888#3300—831no—
889#3298—831no—
890#3282—831no—
891D4×SD16—831no—
892#3267—831no—
893#3266—831no—
894#3266—831no—
895#3265—831no—
896#3260—831no—
897#3258—831no—
898#3250—831no—
899#3225—831no—
900#3221—831no—
901#3218—831no—
902#3123—831no—
903#3120—831no—
904#3114—831no—
905#3046—831no—
906#3042—831no—
907C2×#461—831no—
908#2992—831no—
909C83#6200811yescharacteristic, complemented, Sylow
910C2×#137—831no—
911C2×AGL(1,ℤ/8)—831no—
912C2×#135—831no—
913C22×SD16—831no—
914C22×SD16—831no—
915C22×SD16—831no—
916#563—1661no—
917#563—1661no—
918#559C2×D8311yescharacteristic
919#557—831no—
920#556—831no—
921#554—1661no—
922#554C2×D8311yescharacteristic
923#553—21no—
924#553—1661no—
925#553C2×D8311yescharacteristic
926#552C2×D8311yescharacteristic
927#551—21no—
928#551—21no—
929D4×Q8—831no—
930D4×Q8—831no—
931D4×Q8—831no—
932#548—831no—
933#548—831no—
934#547—831no—
935#547C2×D8311yescharacteristic
936#546—21no—
937#546C2×D8311yescharacteristic
938#546C2×D8311yescharacteristic
939D42C2×D8311yescharacteristic
940#544—1661no—
941#542—1661no—
942#542C2×D8311yescharacteristic
943#541—831no—
944#541—831no—
945#540C2×D8311yescharacteristic
946#539—21no—
947#539—1661no—
948#539—1661no—
949#538—21no—
950#536—831no—
951#536—831no—
952C2×C4⋊Q8—831no—
953#529—831no—
954#529C2×D8311yescharacteristic
955#529C2×D8311yescharacteristic
956#525—21no—
957C2×#123—21no—
958#520C2×D8311yescharacteristic
959#518C2×D8311yescharacteristic
960C2×C4×D4C2×D8311yescharacteristic
961#497—831no—
962#497—831no—
963#497—831no—
964#496—831no—
965#495—831no—
966#492—831no—
967#491—831no—
968#491—831no—
969#491—831no—
970#489—831no—
971#488—831no—
972#487—831no—
973#485—831no—
974#485—831no—
975#484—831no—
976#483—831no—
977#483—831no—
978#480—831no—
979#479—831no—
980#479—831no—
981#479—831no—
982#479—831no—
983#478—831no—
984#478—831no—
985#478—831no—
986#478—831no—
987#477—831no—
988#475—831no—
989#470—831no—
990#468—831no—
991#468—831no—
992#468—831no—
993#467—831no—
994#467—831no—
995#466—831no—
996#465—831no—
997#465—831no—
998#465—831no—
999#465—831no—
1000#465—831no—
1001#464—831no—
1002#464—831no—
1003#464—831no—
1004#464—831no—
1005#464—831no—
1006#463—831no—
1007#463—831no—
1008#463—831no—
1009#463—831no—
1010#463—831no—
1011#463—831no—
1012#463—831no—
1013#462—831no—
1014#462—831no—
1015#462—831no—
1016#461—831no—
1017#461—831no—
1018#461—831no—
1019#461—831no—
1020#461—831no—
1021#461—831no—
1022#461—831no—
1023#461—831no—
1024#461—831no—
1025#461—831no—
1026#461—831no—
1027#461—831no—
1028#461—831no—
1029#460—831no—
1030#460—831no—
1031#452—831no—
1032#452—831no—
1033#452—831no—
1034#451—831no—
1035#451—831no—
1036#451—831no—
1037#450—831no—
1038#450—831no—
1039#450—831no—
1040#449—831no—
1041#449—831no—
1042#449—831no—
1043#448—831no—
1044#448—831no—
1045#448—831no—
1046#448—831no—
1047#448—831no—
1048#447—831no—
1049#446—831no—
1050#446—831no—
1051#442—831no—
1052#442—831no—
1053#441—831no—
1054#440—831no—
1055#440—831no—
1056#440—831no—
1057#440—831no—
1058#440—831no—
1059C4×Q16—831no—
1060C4×SD16—831no—
1061C4×SD16—831no—
1062C4×SD16—831no—
1063#435—831no—
1064#435—831no—
1065#435—831no—
1066#435—831no—
1067C8×D4—831no—
1068C8×D4—831no—
1069#433—831no—
1070#433—831no—
1071#432—831no—
1072#424—831no—
1073#424—831no—
1074C2×C4⋊C8—831no—
1075#419—831no—
1076#417—831no—
1077#416—831no—
1078C2×#103—831no—
1079C2×#103—831no—
1080C2×#103—831no—
1081C2×#41—21no—
1082C2×#41—831no—
1083C2×#41—831no—
1084C2×#41C22×D8311yescharacteristic
1085C22×Q8—831no—
1086C22×Q8—831no—
1087C22×Q8—831no—
1088C22×Q8—831no—
1089C22×D4—21no—
1090C22×D4C22×D8311yescharacteristic
1091C22×D4C22×D8311yescharacteristic
1092C23×C4—21no—
1093#137—3322no—
1094AGL(1,ℤ/8)—3322no—
1095#135—3322no—
1096C2×Q16—831no—
1097C2×Q16—831no—
1098C2×Q16—831no—
1099C2×Q16—831no—
1100C2×Q16—831no—
1101C2×SD16—3322no—
1102C2×SD16—3322no—
1103C2×SD16—3322no—
1104C2×SD16—831no—
1105C2×SD16—831no—
1106C2×SD16—831no—
1107C2×SD16—831no—
1108C2×SD16—831no—
1109C2×SD16—831no—
1110C2×SD16—831no—
1111C2×SD16—831no—
1112C2×SD16—831no—
1113C2×SD16—831no—
1114C2×SD16—831no—
1115C2×SD16—831no—
1116C2×SD16—831no—
1117C2×SD16—831no—
1118C2×SD16—831no—
1119C2×SD16—831no—
1120C2×D8—831no—
1121C2×D8—831no—
1122C2×D8—831no—
1123C2×M16—831no—
1124C2×M16—831no—
1125C22×C8—831no—
1126C22×C8—831no—
1127C22×C8—831no—
1128C22×C8—831no—
1129C4⋊Q8—831no—
1130C4⋊Q8—831no—
1131C4⋊Q8—831no—
1132C4⋊Q8—831no—
1133C4⋊Q8—831no—
1134C4⋊Q8—831no—
1135C4⋊Q8—1661no—
1136C4⋊Q8—1661no—
1137C4⋊Q8—1661no—
1138C4⋊Q8—1661no—
1139C4⋊Q8—1661no—
1140C4⋊Q8C22×D8311yescharacteristic
1141#127C22×D8311yescharacteristic
1142#126—21no—
1143#126—21no—
1144#126—21no—
1145#126—21no—
1146#126—1661no—
1147#126—1661no—
1148#126—1661no—
1149#126—1661no—
1150#126—1661no—
1151#126—1661no—
1152#126—1661no—
1153#126C22⋊D8311yescharacteristic
1154#126C22⋊D8311yescharacteristic
1155#125—21no—
1156#125—831no—
1157#125—1661no—
1158#125—1661no—
1159#125—1661no—
1160#125—1661no—
1161#125—1661no—
1162#125—1661no—
1163#125—1661no—
1164#125C22⋊D8311yescharacteristic
1165#125C22×D8311yescharacteristic
1166#125C22×D8311yescharacteristic
1167#124—21no—
1168#124—21no—
1169#124—831no—
1170#124—831no—
1171#124—831no—
1172#124—1661no—
1173#124—1661no—
1174#124C22⋊D8311yescharacteristic
1175#124C22×D8311yescharacteristic
1176#124C22×D8311yescharacteristic
1177#123—21no—
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123—21no—
1186#123—21no—
1187#123—21no—
1188#123—21no—
1189#123—1661no—
1190#123—1661no—
1191#123—1661no—
1192#123—1661no—
1193#123—1661no—
1194#123—1661no—
1195#123—1661no—
1196#123C22⋊D8311yescharacteristic
1197#123C22⋊D8311yescharacteristic
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—21no—
1201C22⋊Q8—21no—
1202C22⋊Q8—21no—
1203C22⋊Q8—831no—
1204C22⋊Q8—831no—
1205C22⋊Q8—831no—
1206C22⋊Q8—831no—
1207C22⋊Q8—831no—
1208C22⋊Q8—1661no—
1209C22⋊Q8—1661no—
1210C22⋊Q8—1661no—
1211C22⋊Q8—1661no—
1212C22⋊Q8—1661no—
1213C22⋊Q8—1661no—
1214C22⋊Q8—1661no—
1215C22⋊Q8—1661no—
1216C22⋊Q8—1661no—
1217C22⋊Q8—1661no—
1218C22⋊Q8—1661no—
1219C22⋊Q8—1661no—
1220C22⋊Q8—1661no—
1221C22⋊Q8C22⋊D8311yescharacteristic
1222C22⋊Q8C22×D8311yescharacteristic
1223C22⋊Q8C22×D8311yescharacteristic
1224#121—21no—
1225#121—21no—
1226#121—21no—
1227#121—21no—
1228#121—21no—
1229#121—21no—
1230#121—831no—
1231#121—1661no—
1232#121—1661no—
1233#121—1661no—
1234#121C22⋊D8311yescharacteristic
1235#121C22×D8311yescharacteristic
1236#121C22×D8311yescharacteristic
1237#121C22×D8311yescharacteristic
1238#121C22×D8311yescharacteristic
1239#120—21no—
1240#120—21no—
1241#120—21no—
1242#120—21no—
1243C4×Q8—831no—
1244C4×Q8—831no—
1245C4×Q8—831no—
1246C4×Q8—831no—
1247C4×Q8—831no—
1248C4×Q8—1661no—
1249C4×Q8C22×D8311yescharacteristic
1250C4×Q8C22×D8311yescharacteristic
1251C4×Q8C22×D8311yescharacteristic
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—21no—
1255C4×D4—21no—
1256C4×D4—21no—
1257C4×D4—21no—
1258C4×D4—21no—
1259C4×D4—21no—
1260C4×D4—21no—
1261C4×D4—831no—
1262C4×D4—1661no—
1263C4×D4—1661no—
1264C4×D4—1661no—
1265C4×D4—1661no—
1266C4×D4—1661no—
1267C4×D4—1661no—
1268C4×D4C22×D8311yescharacteristic
1269C4×D4C22×D8311yescharacteristic
1270C4×D4C22×D8311yescharacteristic
1271C4×D4C22×D8311yescharacteristic
1272C4×D4C22×D8311yescharacteristic
1273C4×D4C22×D8311yescharacteristic
1274C4×D4C22×D8311yescharacteristic
1275C4×D4C22×D8311yescharacteristic
1276C4×D4C22×D8311yescharacteristic
1277C4×D4C22×D8311yescharacteristic
1278C4×D4C22×D8311yescharacteristic
1279#117—21no—
1280#117—21no—
1281#117—21no—
1282#117—1661no—
1283#117—1661no—
1284#117C22×D8311yescharacteristic
1285#117C22×D8311yescharacteristic
1286#117C22×D8311yescharacteristic
1287C2×C4⋊C4—21no—
1288C2×C4⋊C4—21no—
1289C2×C4⋊C4—1661no—
1290C2×C4⋊C4—1661no—
1291C2×C4⋊C4—1661no—
1292C2×C4⋊C4C22×D8311yescharacteristic
1293C2×C4⋊C4C22×D8311yescharacteristic
1294C2×C22⋊C4—21no—
1295C2×C22⋊C4—21no—
1296C2×C22⋊C4—21no—
1297C2×C22⋊C4—21no—
1298C2×C22⋊C4—21no—
1299C2×C42C22×D8311yescharacteristic
1300#107—831no—
1301#107—831no—
1302#107—831no—
1303#107—831no—
1304#106—831no—
1305#106—831no—
1306#106—831no—
1307#106—831no—
1308C4⋊C8—831no—
1309C4⋊C8—831no—
1310C4⋊C8—831no—
1311C4⋊C8—831no—
1312C4⋊C8—831no—
1313C4⋊C8—831no—
1314C4⋊C8—831no—
1315C4⋊C8—831no—
1316C4⋊C8—831no—
1317C4⋊C8—831no—
1318#103—831no—
1319#103—831no—
1320#103—831no—
1321#103—831no—
1322#103—831no—
1323#103—831no—
1324#103—831no—
1325#103—831no—
1326#103—831no—
1327#103—831no—
1328#103—831no—
1329#103—831no—
1330#103—831no—
1331#103—831no—
1332#103—831no—
1333#103—831no—
1334#103—831no—
1335#103—831no—
1336#103—831no—
1337#103—831no—
1338#103—831no—
1339#103—831no—
1340#102—831no—
1341#102—831no—
1342#102—831no—
1343#102—831no—
1344#102—831no—
1345#102—831no—
1346#102—831no—
1347#102—831no—
1348#102—831no—
1349#102—831no—
1350C22⋊C8—831no—
1351C22⋊C8—831no—
1352C22⋊C8—831no—
1353C22⋊C8—831no—
1354C22⋊C8—831no—
1355C22⋊C8—831no—
1356#97—831no—
1357#97—831no—
1358#97—831no—
1359#97—831no—
1360C4×C8—831no—
1361C4×C8—831no—
1362C24—21no—
1363C24—21no—
1364#41—22no—
1365#41—41no—
1366#41—82no—
1367#41—3321no—
1368#41—3321no—
1369#41—3321no—
1370#41—3321no—
1371C2×Q8—21no—
1372C2×Q8—3321no—
1373C2×Q8—3321no—
1374C2×Q8—3321no—
1375C2×Q8—3321no—
1376C2×Q8—3321no—
1377C2×Q8—3321no—
1378C2×Q8—3321no—
1379C2×Q8—3321no—
1380C2×Q8—831no—
1381C2×Q8—831no—
1382C2×Q8—831no—
1383C2×Q8—831no—
1384C2×Q8—831no—
1385C2×Q8—1661no—
1386C2×Q8—1661no—
1387C2×Q8—1661no—
1388C2×Q8—1661no—
1389C2×Q8C2×C22⋊D8311yescharacteristic
1390C2×Q8C23×D8311yescharacteristic
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—82no—
1405C2×D4—831no—
1406C2×D4—1661no—
1407C2×D4—1661no—
1408C2×D4—1661no—
1409C2×D4C2×C22⋊D8311yescharacteristic
1410C2×D4C2×C22⋊D8311yescharacteristic
1411C2×D4C2×C22⋊D8311yescharacteristic
1412C2×D4C23×D8311yescharacteristic
1413C2×D4C23×D8311yescharacteristic
1414C2×D4C23×D8311yescharacteristic
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—82no—
1427C22×C4—1661no—
1428C22×C4—1661no—
1429C22×C4—1661no—
1430C22×C4—1661no—
1431C22×C4—1661no—
1432C22×C4—1661no—
1433C22×C4—1661no—
1434C22×C4C2×C22⋊D8311yescharacteristic
1435C22×C4C2×C22⋊D8311yescharacteristic
1436C22×C4C23×D8311yescharacteristic
1437C22×C4C23×D8311yescharacteristic
1438C22×C4C23×D8311yescharacteristic
1439Q16—3321no—
1440Q16—3321no—
1441Q16—3321no—
1442Q16—3321no—
1443Q16—3321no—
1444SD16—3321no—
1445SD16—3321no—
1446SD16—3321no—
1447SD16—3321no—
1448SD16—3321no—
1449SD16—3321no—
1450SD16—3321no—
1451SD16—3321no—
1452SD16—3321no—
1453SD16—3321no—
1454SD16—3321no—
1455SD16—1662no—
1456SD16—1662no—
1457SD16—1662no—
1458SD16—1662no—
1459SD16—1662no—
1460D8—3321no—
1461D8—3321no—
1462D8—1662no—
1463M16—3321no—
1464M16—3321no—
1465C2×C8—3321no—
1466C2×C8—3321no—
1467C2×C8—3321no—
1468C2×C8—3321no—
1469C2×C8—831no—
1470C2×C8—831no—
1471C2×C8—831no—
1472C2×C8—831no—
1473C2×C8—831no—
1474C2×C8—831no—
1475C2×C8—831no—
1476C2×C8—831no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—831no—
1489C4⋊C4—831no—
1490C4⋊C4—1661no—
1491C4⋊C4—1661no—
1492C4⋊C4—1661no—
1493C4⋊C4—1661no—
1494C4⋊C4—1661no—
1495C4⋊C4—1661no—
1496C4⋊C4—1661no—
1497C4⋊C4—1661no—
1498C4⋊C4—1661no—
1499C4⋊C4—1661no—
1500C4⋊C4—1661no—
1501C4⋊C4—1661no—
1502C4⋊C4—1661no—
1503C4⋊C4—1661no—
1504C4⋊C4—1661no—
1505C4⋊C4—1661no—
1506C4⋊C4—1661no—
1507C4⋊C4—1661no—
1508C4⋊C4—1661no—
1509C4⋊C4—1661no—
1510C4⋊C4—1661no—
1511C4⋊C4—1661no—
1512C4⋊C4—1661no—
1513C4⋊C4—1661no—
1514C4⋊C4C2×C22⋊D8311yescharacteristic
1515C4⋊C4C2×C22⋊D8311yescharacteristic
1516C4⋊C4C2×C22⋊D8311yescharacteristic
1517C4⋊C4C2×C22⋊D8311yescharacteristic
1518C4⋊C4C2×C22⋊D8311yescharacteristic
1519C4⋊C4C2×C22⋊D8311yescharacteristic
1520C4⋊C4C2×C22⋊D8311yescharacteristic
1521C4⋊C4C2×C22⋊D8311yescharacteristic
1522C4⋊C4C2×C22⋊D8311yescharacteristic
1523C4⋊C4C2×C22⋊D8311yescharacteristic
1524C4⋊C4C23×D8311yescharacteristic
1525C4⋊C4C23×D8311yescharacteristic
1526C4⋊C4C23×D8311yescharacteristic
1527C4⋊C4C23×D8311yescharacteristic
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—1661no—
1548C22⋊C4—1661no—
1549C22⋊C4—1661no—
1550C22⋊C4—1661no—
1551C22⋊C4—1661no—
1552C22⋊C4—1661no—
1553C22⋊C4—1661no—
1554C22⋊C4—1661no—
1555C22⋊C4—1661no—
1556C22⋊C4—1661no—
1557C22⋊C4—1661no—
1558C22⋊C4—1661no—
1559C22⋊C4—1661no—
1560C22⋊C4C2×C22⋊D8311yescharacteristic
1561C22⋊C4C2×C22⋊D8311yescharacteristic
1562C22⋊C4C2×C22⋊D8311yescharacteristic
1563C22⋊C4C2×C22⋊D8311yescharacteristic
1564C22⋊C4C2×C22⋊D8311yescharacteristic
1565C22⋊C4C2×C22⋊D8311yescharacteristic
1566C22⋊C4C2×C22⋊D8311yescharacteristic
1567C22⋊C4C2×C22⋊D8311yescharacteristic
1568C22⋊C4C2×C22⋊D8311yescharacteristic
1569C22⋊C4C2×C22⋊D8311yescharacteristic
1570C42—21no—
1571C42—21no—
1572C42—21no—
1573C42—1661no—
1574C42—1661no—
1575C42—1661no—
1576C42—1661no—
1577C42—1661no—
1578C42C2×C22⋊D8311yescharacteristic
1579C42C2×C22⋊D8311yescharacteristic
1580C42C23×D8311yescharacteristic
1581C42C23×D8311yescharacteristic
1582C42C23×D8311yescharacteristic
1583C42C23×D8311yescharacteristic
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—42no—
1588C23—42no—
1589C23—42no—
1590C23—81no—
1591C23—81no—
1592C23—81no—
1593C23—1661no—
1594C23C22×C22⋊D8311yescharacteristic
1595C23C22×C22⋊D8311yescharacteristic
1596C23C22×C22⋊D8311yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—41no—
1600Q8—81no—
1601Q8—6641no—
1602Q8—6641no—
1603Q8—6641no—
1604Q8—6641no—
1605Q8—1661no—
1606Q8—1661no—
1607Q8—1661no—
1608Q8—1661no—
1609Q8—1661no—
1610Q8—1661no—
1611Q8—1661no—
1612Q8—1661no—
1613Q8—1661no—
1614Q8—1661no—
1615D4—22no—
1616D4—22no—
1617D4—21no—
1618D4—21no—
1619D4—21no—
1620D4—21no—
1621D4—21no—
1622D4—41no—
1623D4—42no—
1624D4—42no—
1625D4—42no—
1626D4—42no—
1627D4—81no—
1628D4—81no—
1629D4—81no—
1630D4—81no—
1631D4—81no—
1632D4—3322no—
1633D4—6641no—
1634D4—6641no—
1635D4—1661no—
1636D4—1661no—
1637D4#1458183812yes—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—41no—
1651C2×C4—42no—
1652C2×C4—42no—
1653C2×C4—81no—
1654C2×C4—81no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4—81no—
1662C2×C4—3322no—
1663C2×C4—6641no—
1664C2×C4—6641no—
1665C2×C4—6641no—
1666C2×C4—6641no—
1667C2×C4—6641no—
1668C2×C4—6641no—
1669C2×C4—1661no—
1670C2×C4—1661no—
1671C2×C4—1661no—
1672C2×C4—1661no—
1673C2×C4—1661no—
1674C2×C4—1661no—
1675C2×C4—1661no—
1676C2×C4C22×C22⋊D8311yescharacteristic
1677C2×C4C22×C22⋊D8311yescharacteristic
1678C2×C4C22×C22⋊D8311yescharacteristic
1679C2×C4C22×C22⋊D8311yescharacteristic
1680C2×C4C22×C22⋊D8311yescharacteristic
1681C2×C4C22×C22⋊D8311yescharacteristic
1682C2×C4C22×C22⋊D8311yescharacteristic
1683C2×C4C22×C22⋊D8311yescharacteristic
1684C2×C4C22×C22⋊D8311yescharacteristic
1685C2×C4C22×C22⋊D8311yescharacteristic
1686C2×C4C22×C22⋊D8311yescharacteristic
1687C2×C4C24×D8311yescharacteristic
1688C8—1661no—
1689C8—1661no—
1690C8—1661no—
1691C8—1661no—
1692C8—1661no—
1693C8—1661no—
1694C8—1661no—
1695C8—1661no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—22no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—21no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—84no—
1714C22—162no—
1715C22—3321no—
1716C22—3321no—
1717C22—3321no—
1718C22#1912851212yes—
1719C22C23×C22⋊D8311yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—3321no—
1737C4—3321no—
1738C4—3321no—
1739C4—3321no—
1740C4—3321no—
1741C4—3321no—
1742C4—3321no—
1743C4C2×#1458183811yescharacteristic
1744C4#1912853711yescharacteristic
1745C2—22no—
1746C2—41no—
1747C2—41no—
1748C2—42no—
1749C2—81no—
1750C2—81no—
1751C2—6641no—
1752C2#2492113211yescharacteristic
1753C2C2×#1912851211yescharacteristic
1754C2#2492224911yescharacteristic
subgroupG/H
centerC22C23×C22⋊D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC83×#3513C2
socleC22×C83C23×D4
hypercenter#3513D83
hypocenterC83#62008
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ #529 ◁ #3513

Complements

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

NH ≅ G/Ntype
1. #24921908C2semidirect
2. #24920523C2semidirect
3. #24920516C2semidirect
4. #24920290C2semidirect
5. #24920244C2semidirect
6. #24919628C2semidirect
7. #24919508C2semidirect
8. #24919448C2semidirect
9. #24919433C2semidirect
10. #24919344C2semidirect
11. #24919322C2semidirect
12. #24919166C2semidirect
13. D4×#13050578C2semidirect
14. #24918984C2semidirect
15. #24918969C2semidirect
16. #24918969C2semidirect
17. #24918954C2semidirect
18. #24918909C2semidirect
19. #24918889C2semidirect
20. #24918810C2semidirect
21. #24918566C2semidirect
22. #24918518C2semidirect
23. #24918487C2semidirect
24. #24917715C2semidirect
25. #24917677C2semidirect
26. #24917601C2semidirect
27. #24917013C2semidirect
28. #24916975C2semidirect
29. C2×#19127906C2semidirect
30. #24916602C2semidirect
31. C83×#3513C2semidirect
40. #19128430C22semidirect
41. #19128424C22semidirect
45. D4×Dic166C22semidirect
46. D4×Dic166C22semidirect
48. #19128360C22semidirect
49. #19128356C22semidirect
52. #19128313C22semidirect
53. #19128313C22semidirect
56. #19128277C22semidirect
57. #19128277C22semidirect
58. C2×#14581792C22semidirect
59. #19128235C22semidirect
60. #19128096C22semidirect
61. #19128096C22semidirect
62. #19128096C22semidirect
64. #19128083C22semidirect
66. #19128071C22semidirect
67. #19128071C22semidirect
68. #19128071C22semidirect
69. #19128063C22semidirect
70. #19128058C22semidirect
71. #19128053C22semidirect
72. #19128042C22semidirect
73. #19128042C22semidirect
74. #19128036C22semidirect
75. #19128031C22semidirect
76. #19128031C22semidirect
77. #19128014C22semidirect
78. #19128008C22semidirect
79. #19128005C22semidirect
80. #19128005C22semidirect
81. #19128005C22semidirect
83. #19128001C22semidirect
84. #19128001C22semidirect
85. #19127998C22semidirect
86. #19127993C22semidirect
87. #19127983C22semidirect
88. #19127957C22semidirect
90. #19127945C22semidirect
91. #19127945C22semidirect
92. #19127940C22semidirect
93. #19127940C22semidirect
95. #19127932C22semidirect
98. #19127928C22semidirect
99. #19127928C22semidirect
100. #19127923C22semidirect
101. #19127923C22semidirect
102. #19127920C22semidirect
103. #19127920C22semidirect
104. #19127920C22semidirect
108. #19127916C22semidirect
109. #19127916C22semidirect
110. #19127916C22semidirect
111. #19127913C22semidirect
112. #19127911C22semidirect
113. #19127911C22semidirect
114. #19127911C22semidirect
121. #19127906C22semidirect
122. #19127906C22semidirect
123. #19127906C22semidirect
124. #19127906C22semidirect
125. #19127906C22semidirect
126. #19127906C22semidirect
127. #19127906C22semidirect
132. #19127861C22semidirect
133. #19127856C22semidirect
134. #19127856C22semidirect
135. #19127856C22semidirect
140. #19127844C22semidirect
141. #19127844C22semidirect
145. #19127839C22semidirect
146. #19127839C22semidirect
148. #19127832C22semidirect
149. #19127832C22semidirect
151. #19127811C22semidirect
152. #19127806C22semidirect
156. #19127801C22semidirect
157. #19127801C22semidirect
158. C4×#13050580C22semidirect
161. C4×#13050578C22semidirect
163. #19127773C22semidirect
164. #19127773C22semidirect
165. #19127773C22semidirect
167. D4×C83⋊C8C22semidirect
168. #19127762C22semidirect
169. #19127762C22semidirect
170. #19127758C22semidirect
171. #19127728C22semidirect
172. #19127728C22semidirect
173. C2×C4⋊(C83⋊C8)C22semidirect
174. #19127709C22semidirect
175. #19127700C22semidirect
176. #19127695C22semidirect
177. C2×#14581715C22semidirect
178. C2×#14581715C22semidirect
179. C2×#14581715C22semidirect
879. #3513D83semidirect
909. C83#62008semidirect

Maximal subgroups

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

subgroupindex
#249219082
#249205232
#249205162
#249202902
#249202442
#249196282
#249195082
#249194482
#249194332
#249193442
#249193222
#249191662
D4×#130505782
#249189842
#249189692
#249189542
#249189092
#249188892
#249188102
#249185662
#249185182
#249184872
#249177152
#249176772
#249176012
#249170132
#249169752
C2×#191279062
#249166022
C83×#35132
#6200883