Finite Group Databasebeta

← #36312863

Subgroups — #36312863

Order 21248.

7104 conjugacy classes of subgroups.

The subgroup lattice has 1888 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921556C212yesmaximal, complemented
2#24921511C212yesmaximal, complemented
3#24921509C214yesmaximal, complemented
4#24921477C212yesmaximal, complemented
5#24921440C212yesmaximal, complemented
6#24921438C214yesmaximal, complemented
7#24921375C212yesmaximal, complemented
8#24921374C211yesmaximal, characteristic, complemented
9#24921342C212yesmaximal, complemented
10#24921275C211yesmaximal, characteristic, complemented
11#24921246C211yesmaximal, characteristic, complemented
12#24921207C214yesmaximal, complemented
13#24921205C212yesmaximal, complemented
14#24921141C212yesmaximal, complemented
15#24921083C212yesmaximal, complemented
16#24921082C212yesmaximal, complemented
17#24921077C214yesmaximal, complemented
18#24921045C212yesmaximal, complemented
19#24921024C212yesmaximal, complemented
20#24921016C214yesmaximal, complemented
21#24920895C214yesmaximal, complemented
22#24920887C212yesmaximal, complemented
23#24920760C211yesmaximal, characteristic, complemented
24#24920760C212yesmaximal, complemented
25C2×#19128256C211yesmaximal, characteristic, complemented
26#533×D83C212yesmaximal, complemented
27#24920672C212yesmaximal, complemented
28C4×#41×D83C211yesmaximal, characteristic, complemented
29C83×#3509C211yesmaximal, characteristic, complemented
30C2×#14581840C2212yes—
31C2×#41×D83C2211yescharacteristic
32Q8×Dic166C2212yescomplemented
33#19128429C2212yescomplemented
34#19128428C2214yescomplemented
35#19128427C2214yescomplemented
36#19128424C2212yescomplemented
37#19128424C2214yescomplemented
38#19128423C2214yescomplemented
39#19128422C2214yescomplemented
40#19128419C2214yescomplemented
41#19128418C2218yescomplemented
42#19128416C2212yescomplemented
43#19128414C2214yescomplemented
44#19128411C2214yes—
45#19128411C2212yescomplemented
46#19128411C2212yescomplemented
47#19128409C2214yescomplemented
48#19128407C2218yes—
49#19128407C2214yescomplemented
50#19128404C2214yescomplemented
51#19128397C2214yescomplemented
52#19128395C2214yescomplemented
53#19128392C2214yes—
54#19128392C2214yescomplemented
55#19128392C2214yescomplemented
56#19128390C2214yescomplemented
57#19128389C2218yescomplemented
58#19128389C2214yescomplemented
59#19128387C2218yescomplemented
60#19128385C2214yescomplemented
61#19128384C2218yescomplemented
62#19128383C2218yes—
63#19128383C2218yescomplemented
64#19128376C2218yes—
65#19128376C2218yes—
66#19128375C2218yes—
67Q8×D332C2212yescomplemented
68#19128366C2214yes—
69#19128366C2212yescomplemented
70#19128366C2212yescomplemented
71#19128364C2214yescomplemented
72#19128363C2214yescomplemented
73#19128361C2214yescomplemented
74#19128360C2214yescomplemented
75#19128359C2214yes—
76#19128356C2212yescomplemented
77#19128354C2214yes—
78#19128354C2212yescomplemented
79#19128354C2212yescomplemented
80#19128353C2214yescomplemented
81#19128352C2214yescomplemented
82#19128352C2214yescomplemented
83#19128349C2218yes—
84#19128344C2214yes—
85#19128343C2218yes—
86#19128331C2214yescomplemented
87#19128329C2212yescomplemented
88#19128324C2214yescomplemented
89#19128323C2214yescomplemented
90#19128322C2214yescomplemented
91#19128320C2214yescomplemented
92#19128317C2218yescomplemented
93#19128312C2214yescomplemented
94#19128311C2214yescomplemented
95#19128310C2218yescomplemented
96#19128309C2214yescomplemented
97#19128299C2218yescomplemented
98#19128295C2218yescomplemented
99#19128292C2218yescomplemented
100#19128281C2214yes—
101#19128279C2212yes—
102#19128276C2214yescomplemented
103#19128275C2212yescomplemented
104#19128274C2214yes—
105#19128258C2212yescomplemented
106#19128257C2214yes—
107#19128257C2218yescomplemented
108#19128256C2212yes—
109#19128256C2212yes—
110#19128256C2211yescharacteristic
111#19128256C2212yes—
112#19128256C2212yes—
113#19128256C2212yescomplemented
114#19128256C2214yescomplemented
115#19128256C2212yescomplemented
116#19128256C2212yescomplemented
117#19128256C2212yescomplemented
118#19128256C2212yescomplemented
119#19128256C2211yescharacteristic, complemented
120#19128255C2214yes—
121#19128255C2214yes—
122#19128254C2214yescomplemented
123#19128253C2214yescomplemented
124#19128253C2214yescomplemented
125#19128252C2211yescharacteristic
126#19128252C2211yescharacteristic, complemented
127#19128252C2212yescomplemented
128#19128251C2212yescomplemented
129#19128251C2211yescharacteristic, complemented
130C2×#14581792C2211yescharacteristic, complemented
131C4⋊Q8×D83C2212yescomplemented
132C4⋊Q8×D83C2212yescomplemented
133#19128238C2214yes—
134#19128238C2212yes—
135#19128238C2214yescomplemented
136#19128238C2212yescomplemented
137#19128237C2214yescomplemented
138#19128237C2212yescomplemented
139#19128237C2214yescomplemented
140#19128237C2212yescomplemented
141#19128236C2212yes—
142#19128236C2214yes—
143#19128236C2212yescomplemented
144#19128236C2218yescomplemented
145#19128236C2214yescomplemented
146#19128234C2218yescomplemented
147#19128234C2218yescomplemented
148#19128230C2214yescomplemented
149#19128228C2218yescomplemented
150C2×#14581783C2212yescomplemented
151#125×D83C2214yescomplemented
152#19128214C2214yes—
153#19128214C2212yes—
154#19128214C2212yes—
155#19128214C2214yes—
156#19128213C2212yes—
157#19128213C2214yes—
158C2×#14581772C2212yes—
159C2×#14581768C2212yes—
160C22⋊Q8×D83C2214yes—
161C22⋊Q8×D83C2214yes—
162#19128183C2214yescomplemented
163#19128183C2214yescomplemented
164#19128181C2212yes—
165#19128181C2212yescomplemented
166#19128181C2218yescomplemented
167#19128177C2214yescomplemented
168#19128177C2214yescomplemented
169#41×Dic83C2211yescharacteristic
170C4×#13050591C2211yescharacteristic
171C4×#13050591C2211yescharacteristic
172C4×#13050591C2214yes—
173C4×#13050591C2212yes—
174C4×#13050591C2214yescomplemented
175C4×#13050591C2214yescomplemented
176C4×#13050591C2212yescomplemented
177C4×#13050590C2212yes—
178C4×#13050590C2211yescharacteristic
179#19128169C2212yes—
180#19128169C2211yescharacteristic
181#19128169C2212yescomplemented
182#19128169C2218yescomplemented
183#19128169C2214yescomplemented
184C4×#13050589C2212yes—
185C4×#13050589C2211yescharacteristic
186C4×#13050589C2212yes—
187C4×#13050589C2211yescharacteristic
188C2×Q8×Dic83C2212yescomplemented
189C2×#14581757C2212yescomplemented
190C4×Q8×D83C2211yescharacteristic
191C4×Q8×D83C2211yescharacteristic
192C4×Q8×D83C2214yescomplemented
193C4×Q8×D83C2214yescomplemented
194C4×Q8×D83C2214yescomplemented
195C4×D4×D83C2212yes—
196C4×D4×D83C2211yescharacteristic
197C4×D4×D83C2212yes—
198C4×D4×D83C2211yescharacteristic
199C2×#14581750C2212yes—
200#117×D83C2211yescharacteristic
201#117×D83C2212yes—
202#117×D83C2214yes—
203C2×C42×D83C2212yes—
204C2×C42×D83C2211yescharacteristic
205#557×C83C2212yescomplemented
206#557×C83C2212yescomplemented
207#556×C83C2212yescomplemented
208#556×C83C2212yescomplemented
209#552×C83C2214yescomplemented
210#552×C83C2214yescomplemented
211#541×C83C2214yescomplemented
212#536×C83C2212yes—
213#533×C83C2212yescomplemented
214#533×C83C2211yescharacteristic, complemented
215#533×C83C2212yescomplemented
216C2×C4⋊Q8×C83C2211yescharacteristic, complemented
217#519×C83C2212yescomplemented
218C4×#41×C83C2211yescharacteristic
219#14581840—216no—
220C2×#13050591C2314yes—
221C2×#13050591C2311yescharacteristic
222C2×#13050591C2312yes—
223C2×#13050591C2314yes—
224C2×#13050591C2312yes—
225C2×#13050590C2318yes—
226C2×#13050590C2312yes—
227C2×#13050590C2312yes—
228C2×#13050590C2314yes—
229C2×#13050590C2311yescharacteristic
230C2×#13050589C2312yes—
231C2×#13050589C2311yescharacteristic
232#41×D83—28no—
233C22×Dic166C2312yes—
234C2×Q8×D83C2314yes—
235C2×Q8×D83C2311yescharacteristic
236C2×Q8×D83C2314yes—
237C2×Q8×D83C2314yes—
238C2×D4×D83C2312yes—
239C2×D4×D83C2311yescharacteristic
240C22×C4×D83C2312yes—
241C22×C4×D83C2312yes—
242C22×C4×D83C2311yescharacteristic
243C22×C4×D83C2311yescharacteristic
244C22×C4×D83C2312yes—
245C22×C4×D83C2311yescharacteristic
246#14581792C2314yes—
247#14581792C2312yes—
248#14581792C2312yes—
249#14581792C2312yes—
250#14581792C2311yescharacteristic
251#14581792C2312yes—
252#14581791C2314yes—
253#14581791C2318yes—
254#14581791C2318yes—
255#14581791C2314yes—
256#14581791C2314yes—
257#14581791C2314yes—
258#14581790C2314yes—
259#14581790C2314yes—
260#14581789C2311yescharacteristic
261#14581787C2318yes—
262#14581787C2318yes—
263#14581787C2318yes—
264#14581787C2314yes—
265#14581787C2318yes—
266#14581787C2318yes—
267#14581787C2314yes—
268#14581786C2318yes—
269#14581786C2318yes—
270#14581785C2318yes—
271#14581785C2318yes—
272#14581784C2314yes—
273#14581784C2318yes—
274#14581784C2314yes—
275#14581783C2314yes—
276#14581783C2314yes—
277#14581783C2314yes—
278#14581783C2318yes—
279#14581783C2312yes—
280#14581783C2312yes—
281#14581783C2314yes—
282#14581783C2314yes—
283#14581782C2318yes—
284#14581782C2318yes—
285#14581782C2318yes—
286#14581782C2318yes—
287#14581782C2318yes—
288#14581781C2314yes—
289#14581781C2312yes—
290#14581781C2312yes—
291#14581780C2312yes—
292#14581780C2318yes—
293#14581780C2314yes—
294#14581778C2318yes—
295#14581778C2318yes—
296#14581778C2318yes—
297#14581777C2318yes—
298#14581777C2318yes—
299#14581777C2318yes—
300#14581777C2318yes—
301#14581777C2318yes—
302#14581777C2318yes—
303#14581777C2314yes—
304#14581777C2314yes—
305#14581776C2318yes—
306#14581776C2314yes—
307#14581775C2318yes—
308#14581774C2318yes—
309#14581774C2318yes—
310#14581774C2318yes—
311#14581772C2318yes—
312#14581772C2318yes—
313#14581772C2314yes—
314#14581772C2314yes—
315#14581772C2314yes—
316#14581772C2312yes—
317#14581772C2314yes—
318#14581772C2314yes—
319#14581772C2312yes—
320#14581771C2314yes—
321#14581771C2314yes—
322#14581770C2318yes—
323#14581770C2318yes—
324#14581770C2318yes—
325#14581770C2318yes—
326#14581770C2318yes—
327#14581770C2318yes—
328#14581770C2318yes—
329#14581770C2318yes—
330#14581769C2318yes—
331#14581769C2318yes—
332#14581769C2318yes—
333#14581768C2314yes—
334#14581768C2314yes—
335#14581768C2314yes—
336#14581768C2314yes—
337#14581768C2314yes—
338#14581768C2314yes—
339#14581768C2314yes—
340#14581768C2312yes—
341#14581768C2312yes—
342#14581768C2314yes—
343#14581767C2312yes—
344#14581767C2318yes—
345#14581767C2314yes—
346#14581767C2314yes—
347#14581767C2312yes—
348#14581767C2312yes—
349#14581767C2312yes—
350#14581766C2314yes—
351#14581766C2312yes—
352#14581766C2312yes—
353#14581766C2314yes—
354#14581765C2318yes—
355#14581765C2318yes—
356#14581764C2318yes—
357#14581763C2314yes—
358#14581762C2314yes—
359#14581762C2318yes—
360Q8×Dic83C2314yes—
361Q8×Dic83C2314yes—
362Q8×Dic83C2312yes—
363Q8×Dic83C2314yes—
364Q8×Dic83C2311yescharacteristic
365Q8×Dic83C2311yescharacteristic
366Q8×Dic83C2312yes—
367Q8×Dic83C2314yes—
368Q8×Dic83C2314yes—
369C4×Dic166C2314yes—
370C4×Dic166C2314yes—
371C4×Dic166C2314yes—
372C4×Dic166C2311yescharacteristic
373C4×Dic166C2311yescharacteristic
374C4×Dic166C2318yes—
375C4×Dic166C2318yes—
376C4×Dic166C2312yes—
377C4×Dic166C2312yes—
378C4×Dic166C2318yes—
379#14581757C2314yes—
380#14581757C2314yes—
381#14581757C2318yes—
382#14581757C2314yes—
383#14581757C2311yescharacteristic
384#14581757C2311yescharacteristic
385#14581757C2312yes—
386#14581757C2312yes—
387#14581757C2318yes—
388#14581757C2312yes—
389#14581757C2314yes—
390#14581757C2318yes—
391#14581757C2314yes—
392#14581757C2312yes—
393C4×D332C2314yes—
394C4×D332C2314yes—
395C4×D332C2314yes—
396C4×D332C2314yes—
397C4×D332C2311yescharacteristic
398C4×D332C2311yescharacteristic
399C4×D332C2312yes—
400C4×D332C2312yes—
401C4×D332C2312yes—
402C4×D332C2318yes—
403C4×D332C2318yes—
404C4×D332C2312yes—
405C4×D332C2314yes—
406C4×D332C2318yes—
407D4×Dic83C2311yescharacteristic
408D4×Dic83C2312yes—
409D4×Dic83C2311yescharacteristic
410D4×Dic83C2312yes—
411#14581754C2312yes—
412#14581754C2318yes—
413#14581754C2314yes—
414#14581754C2314yes—
415#14581754C2318yes—
416#14581754C2314yes—
417#14581754C2312yes—
418#14581754C2311yescharacteristic
419#14581754C2311yescharacteristic
420#14581754C2312yes—
421#14581754C2312yes—
422#14581754C2312yes—
423#14581754C2318yes—
424#14581754C2312yes—
425#14581754C2314yes—
426C4×C22⋊D83C2312yes—
427C4×C22⋊D83C2312yes—
428C4×C22⋊D83C2312yes—
429C4×C22⋊D83C2312yes—
430C4×C22⋊D83C2312yes—
431C4×C22⋊D83C2312yes—
432(C22⋊D83)⋊C4C2318yes—
433(C22⋊D83)⋊C4C2318yes—
434(C22⋊D83)⋊C4C2318yes—
435(C22⋊D83)⋊C4C2312yes—
436(C22⋊D83)⋊C4C2312yes—
437(C22⋊D83)⋊C4C2312yes—
438(C22⋊D83)⋊C4C2312yes—
439(C22⋊D83)⋊C4C2312yes—
440(C22⋊D83)⋊C4C2312yes—
441(C22⋊D83)⋊C4C2314yes—
442(C22⋊D83)⋊C4C2314yes—
443(C22⋊D83)⋊C4C2318yes—
444#14581751C2312yes—
445#14581751C2311yescharacteristic
446#14581751C2314yes—
447#14581750C2314yes—
448#14581750C2314yes—
449#14581750C2318yes—
450#14581750C2312yes—
451#14581750C2314yes—
452#14581750C2312yes—
453#14581750C2312yes—
454#14581750C2314yes—
455#14581750C2311yescharacteristic
456#14581750C2314yes—
457#14581750C2312yes—
458#14581750C2314yes—
459#14581750C2311yescharacteristic
460#14581750C2314yes—
461#14581750C2318yes—
462#14581750C2314yes—
463#14581750C2318yes—
464#14581749C2314yes—
465#14581749C2312yes—
466#14581749C2312yes—
467#14581749C2318yes—
468#14581749C2318yes—
469#14581749C2318yes—
470#14581749C2318yes—
471#14581749C2312yes—
472#14581748C2312yes—
473#14581748C2312yes—
474#14581748C2312yes—
475#14581748C2318yes—
476C2×C4⋊Dic83C2312yes—
477C2×C4⋊Dic83C2312yes—
478C2×C4⋊Dic83C2314yes—
479C2×Dic83⋊C4C2314yes—
480C4⋊C4×D83C2314yes—
481C4⋊C4×D83C2318yes—
482C4⋊C4×D83C2314yes—
483C4⋊C4×D83C2314yes—
484C4⋊C4×D83C2318yes—
485C4⋊C4×D83C2314yes—
486C4⋊C4×D83C2312yes—
487C4⋊C4×D83C2311yescharacteristic
488C4⋊C4×D83C2314yes—
489C4⋊C4×D83C2312yes—
490C4⋊C4×D83C2311yescharacteristic
491C4⋊C4×D83C2318yes—
492C2×(C2×D83)⋊C4C2314yes—
493C22⋊C4×D83C2318yes—
494C22⋊C4×D83C2312yes—
495C22⋊C4×D83C2312yes—
496C22⋊C4×D83C2312yes—
497C2×C4×Dic83C2311yescharacteristic
498C2×C4×Dic83C2311yescharacteristic
499C2×C4×Dic83C2312yes—
500C2×C4×Dic83C2311yescharacteristic
501C2×C4×Dic83C2312yes—
502C2×C4×Dic83C2312yes—
503C2×C4×Dic83C2314yes—
504C42×D83C2311yescharacteristic
505C42×D83C2311yescharacteristic
506C42×D83C2312yes—
507C42×D83C2311yescharacteristic
508C42×D83C2312yes—
509C42×D83C2312yes—
510C42×D83C2311yescharacteristic
511C42×D83C2312yes—
512C42×D83C2312yes—
513C42×D83C2311yescharacteristic
514C42×D83C2312yes—
515C42×D83C2311yescharacteristic
516C42×D83C2311yescharacteristic
517C42×D83C2312yes—
518C42×D83C2311yescharacteristic
519C42×D83C2318yes—
520C42×D83C2318yes—
521C42×D83C2314yes—
522C2×#41×C83C2311yescharacteristic
523C22×Q8×C83C2312yes—
524C4⋊Q8×C83C2314yes—
525C4⋊Q8×C83C2312yes—
526C4⋊Q8×C83C2312yes—
527C4⋊Q8×C83C2312yes—
528C4⋊Q8×C83C2312yes—
529C4⋊Q8×C83C2311yescharacteristic
530C4⋊Q8×C83C2311yescharacteristic
531#126×C83C2318yes—
532#126×C83C2318yes—
533#125×C83C2312yes—
534#125×C83C2318yes—
535#125×C83C2318yes—
536#125×C83C2314yes—
537#125×C83C2314yes—
538#124×C83C2314yes—
539#123×C83C2318yes—
540C22⋊Q8×C83C2314yes—
541C22⋊Q8×C83C2314yes—
542C22⋊Q8×C83C2312yes—
543C22⋊Q8×C83C2314yes—
544C22⋊Q8×C83C2314yes—
545C22⋊Q8×C83C2312yes—
546C4×Q8×C83C2314yes—
547C4×Q8×C83C2314yes—
548C4×Q8×C83C2312yes—
549C4×Q8×C83C2311yescharacteristic
550C4×Q8×C83C2311yescharacteristic
551C4×Q8×C83C2314yes—
552C4×Q8×C83C2314yes—
553C4×Q8×C83C2314yes—
554C4×Q8×C83C2314yes—
555C4×Q8×C83C2312yes—
556C4×D4×C83C2311yescharacteristic
557C4×D4×C83C2312yes—
558C4×D4×C83C2312yes—
559C4×D4×C83C2311yescharacteristic
560#117×C83C2312yes—
561#117×C83C2312yes—
562#117×C83C2311yescharacteristic
563#117×C83C2318yes—
564#117×C83C2314yes—
565#117×C83C2314yes—
566C2×C4⋊C4×C83C2312yes—
567C2×C4⋊C4×C83C2312yes—
568C2×C42×C83C2311yescharacteristic
569C2×C42×C83C2312yes—
570C23×D83C2412yes—
571C23×D83C2411yescharacteristic
572#13050591—24no—
573#13050591—216no—
574#13050591—216no—
575#13050591—28no—
576#13050591—44no—
577#13050590—28no—
578#13050590—232no—
579#13050590—28no—
580#13050590—48no—
581#13050590#4118yescomplemented
582#13050589—28no—
583#13050589—24no—
584C2×Dic166—44no—
585C2×Dic166C2418yes—
586C2×Dic166C2412yes—
587C2×Dic166C2412yes—
588C2×Dic166C2414yes—
589C2×Dic166C2418yes—
590C2×Dic166C2414yes—
591C2×Dic166C2411yescharacteristic
592Q8×D83—216no—
593Q8×D83—24no—
594Q8×D83—216no—
595Q8×D83—48no—
596C2×D332C2414yes—
597C2×D332C2418yes—
598C2×D332C2412yes—
599C2×D332C2412yes—
600C2×D332C2412yes—
601C2×D332C2412yes—
602C2×D332C2414yes—
603C2×D332C2411yescharacteristic
604C2×C22⋊D83C2414yes—
605C2×C22⋊D83C2412yes—
606C2×C22⋊D83C2412yes—
607C2×C22⋊D83C2418yes—
608C2×C22⋊D83C2412yes—
609D4×D83—28no—
610D4×D83—24no—
611C22×Dic83C2412yes—
612C22×Dic83C2411yescharacteristic
613C22×Dic83C2411yescharacteristic
614C22×Dic83C2412yes—
615C22×Dic83C2414yes—
616C22×Dic83C2412yes—
617C22×Dic83C2411yescharacteristic
618C2×C4×D83—24no—
619C2×C4×D83—28no—
620C2×C4×D83—28no—
621C2×C4×D83—24no—
622C2×C4×D83—44no—
623C2×C4×D83—42no—
624C2×C4×D83C2414yes—
625C2×C4×D83C2418yes—
626C2×C4×D83C2411yescharacteristic
627C2×C4×D83C2411yescharacteristic
628C2×C4×D83C2411yescharacteristic
629C2×C4×D83C2412yes—
630C2×C4×D83C2411yescharacteristic
631C2×C4×D83C2412yes—
632C2×C4×D83C2411yescharacteristic
633C2×C4×D83C2411yescharacteristic
634C2×C4×D83C2412yes—
635C2×C4×D83C2411yescharacteristic
636C2×C4×D83C2418yes—
637C2×C4×D83C2412yes—
638C2×C4×D83C2412yes—
639C2×C4×D83C2411yescharacteristic
640C2×C4×D83C2412yes—
641C2×C4×D83C2411yescharacteristic
642C2×C4×D83C2414yes—
643C2×C4×D83C2418yes—
644C2×C4×D83C2412yes—
645C2×C4×D83C2418yes—
646C2×C4×D83C2411yescharacteristic
647C2×C4×D83C2411yescharacteristic
648C2×C4×D83C2414yes—
649C2×C4×D83C2412yes—
650C2×C4×D83C2412yes—
651C2×C4×D83C2411yescharacteristic
652C4⋊Dic83C2414yes—
653C4⋊Dic83C2414yes—
654C4⋊Dic83C2412yes—
655C4⋊Dic83C2414yes—
656C4⋊Dic83C2412yes—
657C4⋊Dic83C2411yescharacteristic
658C4⋊Dic83C2411yescharacteristic
659C4⋊Dic83C2414yes—
660C4⋊Dic83C2418yes—
661C4⋊Dic83C2418yes—
662C4⋊Dic83C2412yes—
663C4⋊Dic83C2418yes—
664C4⋊Dic83C2414yes—
665C4⋊Dic83C2414yes—
666C4⋊Dic83C2412yes—
667Dic83⋊C4C2418yes—
668Dic83⋊C4C2418yes—
669Dic83⋊C4C2418yes—
670Dic83⋊C4C2418yes—
671Dic83⋊C4C2414yes—
672Dic83⋊C4C2418yes—
673Dic83⋊C4C2418yes—
674Dic83⋊C4C2418yes—
675Dic83⋊C4C2414yes—
676Dic83⋊C4C2418yes—
677Dic83⋊C4C2412yes—
678Dic83⋊C4C2412yes—
679Dic83⋊C4C2412yes—
680Dic83⋊C4C2418yes—
681Dic83⋊C4C2412yes—
682Dic83⋊C4C2412yes—
683Dic83⋊C4C2412yes—
684C22⋊Dic83C2418yes—
685C22⋊Dic83C2412yes—
686C22⋊Dic83C2412yes—
687C22⋊Dic83C2412yes—
688(C2×D83)⋊C4C2418yes—
689(C2×D83)⋊C4C2414yes—
690(C2×D83)⋊C4C2418yes—
691(C2×D83)⋊C4C2414yes—
692(C2×D83)⋊C4C2418yes—
693(C2×D83)⋊C4C2414yes—
694(C2×D83)⋊C4C2418yes—
695(C2×D83)⋊C4C2414yes—
696(C2×D83)⋊C4C2414yes—
697(C2×D83)⋊C4C2418yes—
698(C2×D83)⋊C4C2418yes—
699(C2×D83)⋊C4C2418yes—
700(C2×D83)⋊C4C2414yes—
701(C2×D83)⋊C4C2414yes—
702(C2×D83)⋊C4C2414yes—
703(C2×D83)⋊C4C2412yes—
704(C2×D83)⋊C4C2412yes—
705(C2×D83)⋊C4C2412yes—
706(C2×D83)⋊C4C2412yes—
707(C2×D83)⋊C4C2412yes—
708(C2×D83)⋊C4C2412yes—
709C4×Dic83C2418yes—
710C4×Dic83C2418yes—
711C4×Dic83C2418yes—
712C4×Dic83C2411yescharacteristic
713C4×Dic83C2412yes—
714C4×Dic83C2411yescharacteristic
715C4×Dic83C2412yes—
716C4×Dic83C2412yes—
717C4×Dic83C2411yescharacteristic
718C4×Dic83C2411yescharacteristic
719C4×Dic83C2411yescharacteristic
720C4×Dic83C2414yes—
721C4×Dic83C2411yescharacteristic
722C4×Dic83C2412yes—
723C4×Dic83C2412yes—
724C4×Dic83C2412yes—
725C4×Dic83C2412yes—
726C4×Dic83C2411yescharacteristic
727C4×Dic83C2411yescharacteristic
728C4×Dic83C2411yescharacteristic
729C4×Dic83C2414yes—
730C4×Dic83C2418yes—
731C4×Dic83C2411yescharacteristic
732C4×Dic83C2411yescharacteristic
733C4×Dic83C2411yescharacteristic
734C4×Dic83C2412yes—
735C4×Dic83C2412yes—
736#41×C83—24no—
737C2×Q8×C83—28no—
738C2×Q8×C83C2414yes—
739C2×Q8×C83C2411yescharacteristic
740C2×Q8×C83C2412yes—
741C2×Q8×C83C2414yes—
742C2×Q8×C83C2412yes—
743C2×D4×C83C2411yescharacteristic
744C2×D4×C83C2412yes—
745C22×C4×C83C2412yes—
746C22×C4×C83C2411yescharacteristic
747C22×C4×C83C2411yescharacteristic
748C22×C4×C83C2412yes—
749C22×C4×C83C2412yes—
750C22×C4×C83C2414yes—
751C22×C4×C83C2411yescharacteristic
752C4⋊C4×C83C2418yes—
753C4⋊C4×C83C2412yes—
754C4⋊C4×C83C2414yes—
755C4⋊C4×C83C2412yes—
756C4⋊C4×C83C2412yes—
757C4⋊C4×C83C2414yes—
758C4⋊C4×C83C2412yes—
759C4⋊C4×C83C2412yes—
760C4⋊C4×C83C2414yes—
761C4⋊C4×C83C2414yes—
762C4⋊C4×C83C2418yes—
763C4⋊C4×C83C2414yes—
764C4⋊C4×C83C2414yes—
765C4⋊C4×C83C2418yes—
766C4⋊C4×C83C2418yes—
767C4⋊C4×C83C2412yes—
768C4⋊C4×C83C2411yescharacteristic
769C4⋊C4×C83C2411yescharacteristic
770C22⋊C4×C83C2414yes—
771C22⋊C4×C83C2418yes—
772C22⋊C4×C83C2418yes—
773C22⋊C4×C83C2412yes—
774C22⋊C4×C83C2412yes—
775C22⋊C4×C83C2412yes—
776C42×C83C2411yescharacteristic
777C42×C83C2412yes—
778C42×C83C2418yes—
779C42×C83C2412yes—
780C42×C83C2418yes—
781C42×C83C2414yes—
782C42×C83C2411yescharacteristic
783C42×C83C2411yescharacteristic
784C42×C83C2411yescharacteristic
785C42×C83C2412yes—
786C23×C83C2512yes—
787C23×C83C2511yescharacteristic
788C22×D83—22no—
789C22×D83—24no—
790C22×D83—24no—
791C22×D83—22no—
792C22×D83—42no—
793C22×D83—41no—
794C22×D83C2511yescharacteristic
795C22×D83C2514yes—
796C22×D83C2512yes—
797C22×D83C2511yescharacteristic
798Q8×C83—28no—
799Q8×C83—28no—
800Q8×C83—22no—
801Q8×C83—24no—
802Q8×C83—24no—
803D4×C83—24no—
804D4×C83—22no—
805C2×C4×C83—28no—
806C2×C4×C83—24no—
807C2×C4×C83—22no—
808C2×C4×C83—24no—
809C2×C4×C83—22no—
810C2×C4×C83—24no—
811C2×C4×C83C2×#4114yes—
812C2×C4×C83C2512yes—
813C2×C4×C83C2512yes—
814C2×C4×C83C2514yes—
815C2×C4×C83C2514yes—
816C2×C4×C83C2511yescharacteristic
817C2×C4×C83C2511yescharacteristic
818C2×C4×C83C2518yes—
819C2×C4×C83C2512yes—
820C2×C4×C83C2511yescharacteristic
821C2×C4×C83C2511yescharacteristic
822C2×C4×C83C2511yescharacteristic
823C2×C4×C83C2511yescharacteristic
824C22⋊D83—28no—
825C22⋊D83—24no—
826C22⋊D83—24no—
827C22⋊D83—48no—
828C22⋊D83C2×#4118yes—
829C2×Dic83—22no—
830C2×Dic83—24no—
831C2×Dic83—22no—
832C2×Dic83—24no—
833C2×Dic83—42no—
834C2×Dic83—41no—
835C2×Dic83—44no—
836C2×Dic83C2511yescharacteristic
837C2×Dic83C2511yescharacteristic
838C2×Dic83C2511yescharacteristic
839C2×Dic83C2511yescharacteristic
840C2×Dic83C2512yes—
841C2×Dic83C2512yes—
842C2×Dic83C2518yes—
843C2×Dic83C2514yes—
844C2×Dic83C2511yescharacteristic
845C2×Dic83C2512yes—
846C2×Dic83C2511yescharacteristic
847D332—24no—
848D332—216no—
849D332—28no—
850D332—24no—
851D332—24no—
852D332—24no—
853D332—44no—
854D332C2×#4114yes—
855C4×D83—24no—
856C4×D83—216no—
857C4×D83—24no—
858C4×D83—22no—
859C4×D83—22no—
860C4×D83—22no—
861C4×D83—22no—
862C4×D83—22no—
863C4×D83—28no—
864C4×D83—24no—
865C4×D83—22no—
866C4×D83—22no—
867C4×D83—24no—
868C4×D83—22no—
869C4×D83—24no—
870C4×D83—216no—
871C4×D83—24no—
872C4×D83—22no—
873C4×D83—28no—
874C4×D83—42no—
875C4×D83—41no—
876C4×D83—41no—
877C4×D83—42no—
878C4×D83—48no—
879C4×D83—48no—
880C4×D83—44no—
881C4×D83C2×#4118yes—
882C4×D832−1+414yescomplemented
883Dic166—24no—
884Dic166—28no—
885Dic166—216no—
886Dic166—24no—
887Dic166—48no—
888Dic166—44no—
889Dic166C2×#4114yes—
890C22×C83—21no—
891C22×C83—21no—
892C22×C83—22no—
893C22×C83—22no—
894C22×C83—22no—
895C22×C83C22×#4112yes—
896C22×C83C2611yescharacteristic
897C2×D83—21no—
898C2×D83—22no—
899C2×D83—22no—
900C2×D83—21no—
901C2×D83—24no—
902C2×D83—21no—
903C2×D83—21no—
904C2×D83—24no—
905C2×D83—21no—
906C2×D83—24no—
907C2×D83—48no—
908C2×D83—44no—
909C2×D83C22×#4114yes—
910C2×D83C2×2−1+412yes—
911C4×C83—22no—
912C4×C83—28no—
913C4×C83—22no—
914C4×C83—21no—
915C4×C83—24no—
916C4×C83—21no—
917C4×C83—24no—
918C4×C83—22no—
919C4×C83C22×#4112yes—
920C4×C83C22×#4112yes—
921C4×C83C2×2−1+412yes—
922C4×C83#58512yes—
923Dic83—24no—
924Dic83—21no—
925Dic83—21no—
926Dic83—21no—
927Dic83—22no—
928Dic83—28no—
929Dic83—22no—
930Dic83—21no—
931Dic83—21no—
932Dic83C22×#4114yes—
933Dic83C2×2−1+412yes—
934#62805—831nomaximal, Sylow
935C2×C83—22no—
936C2×C83—42no—
937C2×C83C23×#4111yescharacteristic
938C2×C83C22×2−1+411yescharacteristic
939C2×C83C2×#58511yescharacteristic
940D83—22no—
941D83—24no—
942D83—44no—
943D83—41no—
944#3523—832no—
945#3520—832no—
946#3520—834no—
947#3518—832no—
948#3515—832no—
949#3515—834no—
950#3511—832no—
951#3511—831no—
952#3509—832no—
953#3509D8311yescharacteristic, complemented
954#3503—831no—
955#3499—831no—
956#3495—834no—
957#3495—832no—
958#3489—832no—
959#3482—832no—
960#3482—832no—
961#3482—834no—
962Q8×#41—832no—
963#3475—832no—
964#3475—834no—
965#3461—834no—
966#3461—832no—
967#3444—832no—
968#3444—831no—
969C2×#533—832no—
970C2×#533—831no—
971C4×2−1+4—832no—
972C2×C4×#41—831no—
973C83#6280511yescharacteristic, complemented, Sylow
974C2×2−1+4—832no—
975C22×#41—831no—
976Q82—832no—
977#557—834no—
978#557—834no—
979#557—832no—
980#557C2×D8312yescomplemented
981#557C2×D8312yescomplemented
982#556—838no—
983#556—834no—
984#556—834no—
985#556—834no—
986#556—832no—
987#556—834no—
988#556C2×D8312yescomplemented
989#556C2×D8312yescomplemented
990#555—832no—
991#555—834no—
992#554—838no—
993#554—834no—
994#554—834no—
995#554—834no—
996#554—832no—
997#554—832no—
998#553—834no—
999#553—834no—
1000#553—834no—
1001#552—838no—
1002#552—838no—
1003#552—838no—
1004#552—838no—
1005#552—834no—
1006#552—834no—
1007#552—834no—
1008#552—834no—
1009#552—834no—
1010#552—838no—
1011#552—834no—
1012#552C2×D8314yescomplemented
1013#552C2×D8314yescomplemented
1014#551—838no—
1015#551—838no—
1016#551—838no—
1017D4×Q8—834no—
1018D4×Q8—832no—
1019D4×Q8—832no—
1020D4×Q8—834no—
1021D4×Q8—832no—
1022#548—834no—
1023#548—834no—
1024#548—834no—
1025#548—834no—
1026#547—834no—
1027#547—832no—
1028#547—832no—
1029#547—838no—
1030#547—834no—
1031#547—832no—
1032#547—834no—
1033#547—834no—
1034#546—834no—
1035#546—838no—
1036#544—834no—
1037#544—832no—
1038#542—838no—
1039#542—834no—
1040#542—834no—
1041#542—834no—
1042#542—834no—
1043#541—834no—
1044#541—838no—
1045#541—834no—
1046#541—834no—
1047#541C2×D8314yescomplemented
1048#539—838no—
1049#539—838no—
1050#539—838no—
1051#537—832no—
1052#537—834no—
1053#536—832no—
1054#536—834no—
1055#536—834no—
1056#536C2×D8312yes—
1057#533—831no—
1058#533—832no—
1059#533—832no—
1060#533—832no—
1061#533—832no—
1062#533—832no—
1063#533—832no—
1064#533—832no—
1065#533—832no—
1066#533—832no—
1067#533—831no—
1068#533—834no—
1069#533—834no—
1070#533—838no—
1071#533—834no—
1072#533—834no—
1073#533—834no—
1074#533—834no—
1075#533—834no—
1076#533—832no—
1077#533C2×D8312yescomplemented
1078#533C2×D8311yescharacteristic, complemented
1079#533C2×D8312yescomplemented
1080#532—831no—
1081#532—832no—
1082#532—831no—
1083#532—831no—
1084#532—832no—
1085C2×C4⋊Q8—832no—
1086C2×C4⋊Q8—832no—
1087C2×C4⋊Q8—831no—
1088C2×C4⋊Q8C2×D8311yescharacteristic, complemented
1089#529—838no—
1090#529—838no—
1091#529—832no—
1092#529—834no—
1093#529—832no—
1094#529—834no—
1095#529—838no—
1096#529—834no—
1097#529—838no—
1098#529—834no—
1099#529—832no—
1100#529—832no—
1101#529—834no—
1102#529—834no—
1103#529—832no—
1104#529—834no—
1105#529—832no—
1106C2×#125—834no—
1107C2×#125—832no—
1108#525—834no—
1109#525—832no—
1110#525—834no—
1111#525—832no—
1112#525—832no—
1113#525—834no—
1114C2×C22⋊Q8—832no—
1115C2×C22⋊Q8—834no—
1116C2×C22⋊Q8—834no—
1117C2×C22⋊Q8—832no—
1118#520—834no—
1119#520—834no—
1120#520—832no—
1121#520—832no—
1122#520—838no—
1123#519—834no—
1124#519—834no—
1125#519C2×D8312yescomplemented
1126C4×#41—831no—
1127C4×#41—831no—
1128C4×#41—831no—
1129C4×#41—834no—
1130C4×#41—834no—
1131C4×#41—834no—
1132C4×#41—832no—
1133C4×#41—832no—
1134C4×#41—832no—
1135C4×#41—831no—
1136C4×#41—832no—
1137C4×#41—831no—
1138C4×#41—831no—
1139C4×#41—832no—
1140C4×#41—832no—
1141C4×#41—838no—
1142C4×#41—834no—
1143C4×#41—831no—
1144C4×#41—832no—
1145C4×#41C2×D8311yescharacteristic
1146C2×C4×Q8—832no—
1147C2×C4×Q8—831no—
1148C2×C4×Q8—831no—
1149C2×C4×Q8—834no—
1150C2×C4×Q8—834no—
1151C2×C4×Q8—834no—
1152C2×C4×Q8—832no—
1153C2×C4×D4—832no—
1154C2×C4×D4—831no—
1155C2×C4×D4—832no—
1156C2×C4×D4—831no—
1157C2×#117—831no—
1158C2×#117—832no—
1159C2×#117—834no—
1160C2×#117—832no—
1161C22×C42—831no—
1162C22×C42—832no—
11632−1+4—16616no—
1164C2×#41—832no—
1165C2×#41—832no—
1166C2×#41—831no—
1167C2×#41—834no—
1168C2×#41—834no—
1169C2×#41—832no—
1170C2×#41—831no—
1171C2×#41—834no—
1172C2×#41—831no—
1173C2×#41—832no—
1174C2×#41—832no—
1175C2×#41—838no—
1176C2×#41—1668no—
1177C2×#41C22×D8311yescharacteristic
1178C22×Q8—834no—
1179C22×Q8—831no—
1180C22×Q8—834no—
1181C22×Q8—834no—
1182C22×Q8—832no—
1183C22×Q8C22×D8312yes—
1184C22×D4—832no—
1185C22×D4—831no—
1186C23×C4—831no—
1187C23×C4—832no—
1188C23×C4—831no—
1189C23×C4—832no—
1190C23×C4—832no—
1191C23×C4—831no—
1192C4⋊Q8—834no—
1193C4⋊Q8—834no—
1194C4⋊Q8—834no—
1195C4⋊Q8—834no—
1196C4⋊Q8—834no—
1197C4⋊Q8—834no—
1198C4⋊Q8—838no—
1199C4⋊Q8—838no—
1200C4⋊Q8—831no—
1201C4⋊Q8—832no—
1202C4⋊Q8—832no—
1203C4⋊Q8—832no—
1204C4⋊Q8—832no—
1205C4⋊Q8—834no—
1206C4⋊Q8C22×D8311yescharacteristic
1207C4⋊Q8C22×D8312yes—
1208C4⋊Q8C22×D8312yes—
1209C4⋊Q8C22×D8312yes—
1210C4⋊Q8C22×D8312yes—
1211C4⋊Q8C22×D8311yescharacteristic
1212C4⋊Q8C22×D8314yes—
1213#127—831no—
1214#126—834no—
1215#126—838no—
1216#126—838no—
1217#126—834no—
1218#126—838no—
1219#126—838no—
1220#126—838no—
1221#126—838no—
1222#126—838no—
1223#126—838no—
1224#126—838no—
1225#126C22×D8318yes—
1226#126C22×D8318yes—
1227#125—832no—
1228#125—834no—
1229#125—838no—
1230#125—838no—
1231#125—834no—
1232#125—834no—
1233#125—834no—
1234#125—834no—
1235#125—832no—
1236#125—838no—
1237#125—838no—
1238#125—838no—
1239#125—838no—
1240#125—834no—
1241#125—834no—
1242#125—838no—
1243#125C22×D8314yes—
1244#125C22×D8312yes—
1245#125C22×D8314yes—
1246#125C22×D8318yes—
1247#125C22×D8318yes—
1248#124—832no—
1249#124—834no—
1250#124—832no—
1251#124—838no—
1252#124—838no—
1253#124—838no—
1254#124—832no—
1255#124—834no—
1256#124—838no—
1257#124C22×D8314yes—
1258#123—838no—
1259#123—834no—
1260#123—838no—
1261#123—834no—
1262#123—838no—
1263#123—838no—
1264#123—838no—
1265#123—838no—
1266#123—838no—
1267#123—838no—
1268#123—834no—
1269#123—838no—
1270#123—838no—
1271#123—838no—
1272#123C22×D8318yes—
1273C22⋊Q8—834no—
1274C22⋊Q8—832no—
1275C22⋊Q8—834no—
1276C22⋊Q8—834no—
1277C22⋊Q8—834no—
1278C22⋊Q8—834no—
1279C22⋊Q8—832no—
1280C22⋊Q8—834no—
1281C22⋊Q8—834no—
1282C22⋊Q8—834no—
1283C22⋊Q8—834no—
1284C22⋊Q8—834no—
1285C22⋊Q8—838no—
1286C22⋊Q8—838no—
1287C22⋊Q8—838no—
1288C22⋊Q8—838no—
1289C22⋊Q8—838no—
1290C22⋊Q8—838no—
1291C22⋊Q8—838no—
1292C22⋊Q8—838no—
1293C22⋊Q8—832no—
1294C22⋊Q8—834no—
1295C22⋊Q8—834no—
1296C22⋊Q8—834no—
1297C22⋊Q8—834no—
1298C22⋊Q8—832no—
1299C22⋊Q8—834no—
1300C22⋊Q8—838no—
1301C22⋊Q8—838no—
1302C22⋊Q8—838no—
1303C22⋊Q8—838no—
1304C22⋊Q8—838no—
1305C22⋊Q8C22×D8314yes—
1306C22⋊Q8C22×D8314yes—
1307C22⋊Q8C22×D8314yes—
1308C22⋊Q8C22×D8312yes—
1309C22⋊Q8C22×D8314yes—
1310C22⋊Q8C22×D8312yes—
1311#121—834no—
1312#121—838no—
1313#121—834no—
1314#121—832no—
1315#121—832no—
1316#121—834no—
1317#121—832no—
1318#121—832no—
1319#121—832no—
1320#121—834no—
1321#121—834no—
1322#121—832no—
1323#121—838no—
1324#121—838no—
1325#121—838no—
1326#120—838no—
1327#120—834no—
1328C4×Q8—834no—
1329C4×Q8—834no—
1330C4×Q8—832no—
1331C4×Q8—831no—
1332C4×Q8—831no—
1333C4×Q8—834no—
1334C4×Q8—834no—
1335C4×Q8—832no—
1336C4×Q8—834no—
1337C4×Q8—831no—
1338C4×Q8—838no—
1339C4×Q8—832no—
1340C4×Q8—834no—
1341C4×Q8—831no—
1342C4×Q8—832no—
1343C4×Q8—832no—
1344C4×Q8—834no—
1345C4×Q8—838no—
1346C4×Q8—834no—
1347C4×Q8—834no—
1348C4×Q8—832no—
1349C4×Q8—838no—
1350C4×Q8—834no—
1351C4×Q8—831no—
1352C4×Q8—831no—
1353C4×Q8—832no—
1354C4×Q8—832no—
1355C4×Q8—838no—
1356C4×Q8—834no—
1357C4×Q8—834no—
1358C4×Q8—838no—
1359C4×Q8—834no—
1360C4×Q8—838no—
1361C4×Q8C22×D8311yescharacteristic
1362C4×Q8C22×D8311yescharacteristic
1363C4×Q8C22×D8314yes—
1364C4×Q8C22×D8314yes—
1365C4×Q8C22×D8314yes—
1366C4×Q8C22×D8314yes—
1367C4×Q8C22×D8314yes—
1368C4×Q8C22×D8312yes—
1369C4×Q8C22×D8314yes—
1370C4×Q8C22×D8312yes—
1371C4×D4—831no—
1372C4×D4—832no—
1373C4×D4—832no—
1374C4×D4—831no—
1375C4×D4—832no—
1376C4×D4—832no—
1377C4×D4—832no—
1378C4×D4—832no—
1379C4×D4—832no—
1380C4×D4—832no—
1381C4×D4—831no—
1382C4×D4—831no—
1383C4×D4—832no—
1384C4×D4—832no—
1385C4×D4—838no—
1386C4×D4—832no—
1387C4×D4—832no—
1388C4×D4—832no—
1389C4×D4—838no—
1390C4×D4—834no—
1391C4×D4—838no—
1392C4×D4—834no—
1393C4×D4—834no—
1394C4×D4—834no—
1395C4×D4—832no—
1396C4×D4—832no—
1397C4×D4—832no—
1398C4×D4—832no—
1399C4×D4—832no—
1400C4×D4—832no—
1401C4×D4—832no—
1402C4×D4—834no—
1403C4×D4—834no—
1404C4×D4—838no—
1405C4×D4—838no—
1406C4×D4—838no—
1407C4×D4—838no—
1408C4×D4—831no—
1409C4×D4—831no—
1410C4×D4—832no—
1411C4×D4—832no—
1412C4×D4—838no—
1413C4×D4—834no—
1414C4×D4—834no—
1415C4×D4—838no—
1416C4×D4—834no—
1417C4×D4—834no—
1418C4×D4—838no—
1419C4×D4—832no—
1420C4×D4—832no—
1421C4×D4—834no—
1422C4×D4C22×D8311yescharacteristic
1423C4×D4C22×D8312yes—
1424C4×D4C22×D8312yes—
1425C4×D4C22×D8311yescharacteristic
1426#117—831no—
1427#117—832no—
1428#117—834no—
1429#117—832no—
1430#117—834no—
1431#117—831no—
1432#117—832no—
1433#117—832no—
1434#117—831no—
1435#117—834no—
1436#117—834no—
1437#117—834no—
1438#117—834no—
1439#117—838no—
1440#117—838no—
1441#117—834no—
1442#117—832no—
1443#117—838no—
1444#117—834no—
1445#117—834no—
1446#117—832no—
1447#117—832no—
1448#117—832no—
1449#117—838no—
1450#117—832no—
1451#117—832no—
1452#117—832no—
1453#117—838no—
1454#117—834no—
1455#117—838no—
1456#117—838no—
1457#117—838no—
1458#117C22×D8311yescharacteristic
1459#117C22×D8312yes—
1460#117C22×D8314yes—
1461#117C22×D8312yes—
1462#117C22×D8318yes—
1463#117C22×D8314yes—
1464C2×C4⋊C4—832no—
1465C2×C4⋊C4—834no—
1466C2×C4⋊C4—832no—
1467C2×C4⋊C4—834no—
1468C2×C4⋊C4—832no—
1469C2×C4⋊C4—831no—
1470C2×C4⋊C4—832no—
1471C2×C4⋊C4—831no—
1472C2×C4⋊C4—834no—
1473C2×C4⋊C4—834no—
1474C2×C4⋊C4—838no—
1475C2×C4⋊C4—834no—
1476C2×C4⋊C4—838no—
1477C2×C4⋊C4—834no—
1478C2×C4⋊C4—838no—
1479C2×C4⋊C4—834no—
1480C2×C4⋊C4C22×D8312yes—
1481C2×C4⋊C4C22×D8312yes—
1482C2×C22⋊C4—834no—
1483C2×C22⋊C4—832no—
1484C2×C22⋊C4—832no—
1485C2×C22⋊C4—832no—
1486C2×C22⋊C4—838no—
1487C2×C42—834no—
1488C2×C42—831no—
1489C2×C42—831no—
1490C2×C42—832no—
1491C2×C42—831no—
1492C2×C42—832no—
1493C2×C42—832no—
1494C2×C42—831no—
1495C2×C42—832no—
1496C2×C42—838no—
1497C2×C42—831no—
1498C2×C42—832no—
1499C2×C42—832no—
1500C2×C42—831no—
1501C2×C42—832no—
1502C2×C42—832no—
1503C2×C42—834no—
1504C2×C42—838no—
1505C2×C42—831no—
1506C2×C42—832no—
1507C2×C42—831no—
1508C2×C42—831no—
1509C2×C42—832no—
1510C2×C42—831no—
1511C2×C42—831no—
1512C2×C42C22×D8311yescharacteristic
1513C2×C42C22×D8312yes—
1514C24—832no—
1515C24—831no—
1516#41—24no—
1517#41—3328no—
1518#41—3324no—
1519#41—838no—
1520#41—1668no—
1521#41—16632no—
1522#41—16616no—
1523#41—1668no—
1524#41—1668no—
1525#41—1664no—
1526#41—1664no—
1527#41—16616no—
1528#41—1668no—
1529C2×Q8—28no—
1530C2×Q8—3324no—
1531C2×Q8—3328no—
1532C2×Q8—838no—
1533C2×Q8—834no—
1534C2×Q8—831no—
1535C2×Q8—838no—
1536C2×Q8—832no—
1537C2×Q8—834no—
1538C2×Q8—832no—
1539C2×Q8—16616no—
1540C2×Q8—1664no—
1541C2×Q8—16616no—
1542C2×Q8C23×D8312yes—
1543C2×Q8C23×D8314yes—
1544C2×Q8C23×D8311yescharacteristic
1545C2×Q8C23×D8314yes—
1546C2×Q8C23×D8312yes—
1547C2×D4—838no—
1548C2×D4—832no—
1549C2×D4—834no—
1550C2×D4—832no—
1551C2×D4—832no—
1552C2×D4—834no—
1553C2×D4—831no—
1554C2×D4—834no—
1555C2×D4—832no—
1556C2×D4—838no—
1557C2×D4—832no—
1558C2×D4—832no—
1559C2×D4—832no—
1560C2×D4—1668no—
1561C2×D4—1664no—
1562C2×D4C23×D8312yes—
1563C2×D4C23×D8311yescharacteristic
1564C22×C4—3322no—
1565C22×C4—3324no—
1566C22×C4—831no—
1567C22×C4—832no—
1568C22×C4—834no—
1569C22×C4—831no—
1570C22×C4—832no—
1571C22×C4—832no—
1572C22×C4—831no—
1573C22×C4—838no—
1574C22×C4—834no—
1575C22×C4—838no—
1576C22×C4—831no—
1577C22×C4—832no—
1578C22×C4—831no—
1579C22×C4—831no—
1580C22×C4—832no—
1581C22×C4—832no—
1582C22×C4—832no—
1583C22×C4—831no—
1584C22×C4—831no—
1585C22×C4—834no—
1586C22×C4—831no—
1587C22×C4—832no—
1588C22×C4—832no—
1589C22×C4—832no—
1590C22×C4—832no—
1591C22×C4—832no—
1592C22×C4—831no—
1593C22×C4—831no—
1594C22×C4—831no—
1595C22×C4—831no—
1596C22×C4—831no—
1597C22×C4—831no—
1598C22×C4—838no—
1599C22×C4—838no—
1600C22×C4—834no—
1601C22×C4—1668no—
1602C22×C4—1664no—
1603C22×C4—1668no—
1604C22×C4—1664no—
1605C22×C4C23×D8311yescharacteristic
1606C22×C4C23×D8311yescharacteristic
1607C22×C4C23×D8312yes—
1608C22×C4C23×D8312yes—
1609C22×C4C23×D8312yes—
1610C22×C4C23×D8314yes—
1611C22×C4C23×D8311yescharacteristic
1612C4⋊C4—832no—
1613C4⋊C4—834no—
1614C4⋊C4—832no—
1615C4⋊C4—838no—
1616C4⋊C4—834no—
1617C4⋊C4—834no—
1618C4⋊C4—832no—
1619C4⋊C4—838no—
1620C4⋊C4—834no—
1621C4⋊C4—838no—
1622C4⋊C4—838no—
1623C4⋊C4—838no—
1624C4⋊C4—834no—
1625C4⋊C4—832no—
1626C4⋊C4—832no—
1627C4⋊C4—832no—
1628C4⋊C4—832no—
1629C4⋊C4—831no—
1630C4⋊C4—832no—
1631C4⋊C4—831no—
1632C4⋊C4—832no—
1633C4⋊C4—832no—
1634C4⋊C4—838no—
1635C4⋊C4—838no—
1636C4⋊C4—834no—
1637C4⋊C4—838no—
1638C4⋊C4—838no—
1639C4⋊C4—838no—
1640C4⋊C4—834no—
1641C4⋊C4—838no—
1642C4⋊C4—838no—
1643C4⋊C4—834no—
1644C4⋊C4C23×D8311yescharacteristic
1645C4⋊C4C23×D8312yes—
1646C4⋊C4C23×D8312yes—
1647C4⋊C4C23×D8318yes—
1648C4⋊C4C23×D8314yes—
1649C4⋊C4C23×D8314yes—
1650C4⋊C4C23×D8311yescharacteristic
1651C4⋊C4C23×D8312yes—
1652C4⋊C4C23×D8312yes—
1653C4⋊C4C23×D8318yes—
1654C4⋊C4C23×D8314yes—
1655C4⋊C4C23×D8314yes—
1656C4⋊C4C23×D8312yes—
1657C4⋊C4C23×D8318yes—
1658C4⋊C4C23×D8312yes—
1659C4⋊C4C23×D8314yes—
1660C4⋊C4C23×D8314yes—
1661C4⋊C4C23×D8318yes—
1662C22⋊C4—832no—
1663C22⋊C4—832no—
1664C22⋊C4—832no—
1665C22⋊C4—838no—
1666C22⋊C4—838no—
1667C22⋊C4—834no—
1668C22⋊C4—832no—
1669C22⋊C4—832no—
1670C22⋊C4—832no—
1671C22⋊C4—832no—
1672C22⋊C4—832no—
1673C22⋊C4—832no—
1674C22⋊C4—838no—
1675C22⋊C4—838no—
1676C22⋊C4—834no—
1677C22⋊C4—834no—
1678C22⋊C4—834no—
1679C22⋊C4—838no—
1680C22⋊C4—834no—
1681C22⋊C4—838no—
1682C22⋊C4—834no—
1683C22⋊C4—838no—
1684C22⋊C4—834no—
1685C22⋊C4—838no—
1686C22⋊C4—834no—
1687C22⋊C4C23×D8312yes—
1688C22⋊C4C23×D8312yes—
1689C22⋊C4C23×D8312yes—
1690C22⋊C4C23×D8318yes—
1691C22⋊C4C23×D8314yes—
1692C22⋊C4C23×D8318yes—
1693C42—832no—
1694C42—831no—
1695C42—831no—
1696C42—831no—
1697C42—831no—
1698C42—831no—
1699C42—832no—
1700C42—832no—
1701C42—838no—
1702C42—834no—
1703C42—831no—
1704C42—832no—
1705C42—831no—
1706C42—831no—
1707C42—831no—
1708C42—832no—
1709C42—832no—
1710C42—831no—
1711C42—832no—
1712C42—832no—
1713C42—831no—
1714C42—832no—
1715C42—831no—
1716C42—834no—
1717C42—838no—
1718C42—838no—
1719C42—838no—
1720C42C23×D8311yescharacteristic
1721C42C23×D8312yes—
1722C42C23×D8311yescharacteristic
1723C42C23×D8312yes—
1724C42C23×D8311yescharacteristic
1725C42C23×D8311yescharacteristic
1726C42C23×D8312yes—
1727C42C23×D8318yes—
1728C42C23×D8318yes—
1729C42C23×D8314yes—
1730C23—3321no—
1731C23—3322no—
1732C23—831no—
1733C23—832no—
1734C23—831no—
1735C23—834no—
1736C23—1664no—
1737C23—1662no—
1738C23—1664no—
1739C23—1662no—
1740C23C24×D8312yes—
1741C23C24×D8311yescharacteristic
1742Q8—28no—
1743Q8—28no—
1744Q8—22no—
1745Q8—24no—
1746Q8—24no—
1747Q8—3324no—
1748Q8—3328no—
1749Q8—834no—
1750Q8—16616no—
1751Q8—1664no—
1752Q8—1664no—
1753Q8—1668no—
1754D4—24no—
1755D4—22no—
1756D4—3324no—
1757D4—3328no—
1758D4—838no—
1759D4—834no—
1760D4—1664no—
1761D4—16616no—
1762D4—1668no—
1763D4—1664no—
1764D4—1664no—
1765D4—1668no—
1766D4—1664no—
1767D4—1664no—
1768D4—1664no—
1769C2×C4—28no—
1770C2×C4—24no—
1771C2×C4—22no—
1772C2×C4—24no—
1773C2×C4—22no—
1774C2×C4—24no—
1775C2×C4—3322no—
1776C2×C4—3322no—
1777C2×C4—3321no—
1778C2×C4—3321no—
1779C2×C4—3328no—
1780C2×C4—3328no—
1781C2×C4—3324no—
1782C2×C4—3321no—
1783C2×C4—3322no—
1784C2×C4—3324no—
1785C2×C4—831no—
1786C2×C4—832no—
1787C2×C4—838no—
1788C2×C4—834no—
1789C2×C4—831no—
1790C2×C4—831no—
1791C2×C4—831no—
1792C2×C4—831no—
1793C2×C4—832no—
1794C2×C4—832no—
1795C2×C4—834no—
1796C2×C4—838no—
1797C2×C4—831no—
1798C2×C4—1664no—
1799C2×C4—1662no—
1800C2×C4—1664no—
1801C2×C4—16616no—
1802C2×C4—1668no—
1803C2×C4—1664no—
1804C2×C4—1664no—
1805C2×C4—1662no—
1806C2×C4—16616no—
1807C2×C4—1664no—
1808C2×C4—1662no—
1809C2×C4—1664no—
1810C2×C4—1662no—
1811C2×C4—1662no—
1812C2×C4—1662no—
1813C2×C4—1662no—
1814C2×C4—1662no—
1815C2×C4—1668no—
1816C2×C4—1662no—
1817C2×C4—1664no—
1818C2×C4—1662no—
1819C2×C4—1664no—
1820C2×C4—1662no—
1821C2×C4#41×D8314yes—
1822C2×C4C24×D8312yes—
1823C2×C4C24×D8314yes—
1824C2×C4C24×D8312yes—
1825C2×C4C24×D8311yescharacteristic
1826C2×C4C24×D8311yescharacteristic
1827C2×C4C24×D8318yes—
1828C2×C4C24×D8312yes—
1829C2×C4C24×D8314yes—
1830C2×C4C24×D8311yescharacteristic
1831C2×C4C24×D8311yescharacteristic
1832C2×C4C24×D8311yescharacteristic
1833C2×C4C24×D8311yescharacteristic
1834C22—21no—
1835C22—21no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—3324no—
1840C22—3328no—
1841C22—834no—
1842C22—832no—
1843C22—1664no—
1844C22—1661no—
1845C22—1661no—
1846C22—1664no—
1847C22—1664no—
1848C22—1661no—
1849C22—1661no—
1850C22—1662no—
1851C22—1662no—
1852C22—1661no—
1853C22C2×#41×D8312yes—
1854C22C25×D8311yescharacteristic
1855C4—22no—
1856C4—28no—
1857C4—22no—
1858C4—21no—
1859C4—24no—
1860C4—22no—
1861C4—21no—
1862C4—24no—
1863C4—834no—
1864C4—832no—
1865C4—1661no—
1866C4—1661no—
1867C4—1664no—
1868C4—1661no—
1869C4—1662no—
1870C4—1661no—
1871C4—1661no—
1872C4—1668no—
1873C4—1662no—
1874C4C2×#41×D8312yes—
1875C4C2×#41×D8312yes—
1876C42−1+4×D8312yes—
1877C4#1912853812yes—
1878C2—22no—
1879C2—42no—
1880C2—3321no—
1881C2—3324no—
1882C2—1662no—
1883C2—1664no—
1884C2C22×#41×D8311yescharacteristic
1885C2C2×2−1+4×D8311yescharacteristic
1886C2C2×#1912853811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D83
commutator, socle, cosocleC22×C83C26
FittingC83×#3509C2
hypercenter#3509D83
hypocenterC83#62805
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C22 ◁ #3509

Complements

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

NH ≅ G/Ntype
1. #24921556C2semidirect
2. #24921511C2semidirect
3. #24921509C2semidirect
4. #24921477C2semidirect
5. #24921440C2semidirect
6. #24921438C2semidirect
7. #24921375C2semidirect
8. #24921374C2semidirect
9. #24921342C2semidirect
10. #24921275C2semidirect
11. #24921246C2semidirect
12. #24921207C2semidirect
13. #24921205C2semidirect
14. #24921141C2semidirect
15. #24921083C2semidirect
16. #24921082C2semidirect
17. #24921077C2semidirect
18. #24921045C2semidirect
19. #24921024C2semidirect
20. #24921016C2semidirect
21. #24920895C2semidirect
22. #24920887C2semidirect
23. #24920760C2semidirect
24. #24920760C2semidirect
25. C2×#19128256C2semidirect
26. #533×D83C2semidirect
27. #24920672C2semidirect
28. C4×#41×D83C2semidirect
29. C83×#3509C2semidirect
32. Q8×Dic166C22semidirect
33. #19128429C22semidirect
34. #19128428C22semidirect
35. #19128427C22semidirect
36. #19128424C22semidirect
37. #19128424C22semidirect
38. #19128423C22semidirect
39. #19128422C22semidirect
40. #19128419C22semidirect
41. #19128418C22semidirect
42. #19128416C22semidirect
43. #19128414C22semidirect
45. #19128411C22semidirect
46. #19128411C22semidirect
47. #19128409C22semidirect
49. #19128407C22semidirect
50. #19128404C22semidirect
51. #19128397C22semidirect
52. #19128395C22semidirect
54. #19128392C22semidirect
55. #19128392C22semidirect
56. #19128390C22semidirect
57. #19128389C22semidirect
58. #19128389C22semidirect
59. #19128387C22semidirect
60. #19128385C22semidirect
61. #19128384C22semidirect
63. #19128383C22semidirect
67. Q8×D332C22semidirect
69. #19128366C22semidirect
70. #19128366C22semidirect
71. #19128364C22semidirect
72. #19128363C22semidirect
73. #19128361C22semidirect
74. #19128360C22semidirect
76. #19128356C22semidirect
78. #19128354C22semidirect
79. #19128354C22semidirect
80. #19128353C22semidirect
81. #19128352C22semidirect
82. #19128352C22semidirect
86. #19128331C22semidirect
87. #19128329C22semidirect
88. #19128324C22semidirect
89. #19128323C22semidirect
90. #19128322C22semidirect
91. #19128320C22semidirect
92. #19128317C22semidirect
93. #19128312C22semidirect
94. #19128311C22semidirect
95. #19128310C22semidirect
96. #19128309C22semidirect
97. #19128299C22semidirect
98. #19128295C22semidirect
99. #19128292C22semidirect
102. #19128276C22semidirect
103. #19128275C22semidirect
105. #19128258C22semidirect
107. #19128257C22semidirect
113. #19128256C22semidirect
114. #19128256C22semidirect
115. #19128256C22semidirect
116. #19128256C22semidirect
117. #19128256C22semidirect
118. #19128256C22semidirect
119. #19128256C22semidirect
122. #19128254C22semidirect
123. #19128253C22semidirect
124. #19128253C22semidirect
126. #19128252C22semidirect
127. #19128252C22semidirect
128. #19128251C22semidirect
129. #19128251C22semidirect
130. C2×#14581792C22semidirect
131. C4⋊Q8×D83C22semidirect
132. C4⋊Q8×D83C22semidirect
135. #19128238C22semidirect
136. #19128238C22semidirect
137. #19128237C22semidirect
138. #19128237C22semidirect
139. #19128237C22semidirect
140. #19128237C22semidirect
143. #19128236C22semidirect
144. #19128236C22semidirect
145. #19128236C22semidirect
146. #19128234C22semidirect
147. #19128234C22semidirect
148. #19128230C22semidirect
149. #19128228C22semidirect
150. C2×#14581783C22semidirect
151. #125×D83C22semidirect
162. #19128183C22semidirect
163. #19128183C22semidirect
165. #19128181C22semidirect
166. #19128181C22semidirect
167. #19128177C22semidirect
168. #19128177C22semidirect
174. C4×#13050591C22semidirect
175. C4×#13050591C22semidirect
176. C4×#13050591C22semidirect
181. #19128169C22semidirect
182. #19128169C22semidirect
183. #19128169C22semidirect
188. C2×Q8×Dic83C22semidirect
189. C2×#14581757C22semidirect
192. C4×Q8×D83C22semidirect
193. C4×Q8×D83C22semidirect
194. C4×Q8×D83C22semidirect
205. #557×C83C22semidirect
206. #557×C83C22semidirect
207. #556×C83C22semidirect
208. #556×C83C22semidirect
209. #552×C83C22semidirect
210. #552×C83C22semidirect
211. #541×C83C22semidirect
213. #533×C83C22semidirect
214. #533×C83C22semidirect
215. #533×C83C22semidirect
216. C2×C4⋊Q8×C83C22semidirect
217. #519×C83C22semidirect
581. #13050590#41semidirect
882. C4×D832−1+4semidirect
953. #3509D83semidirect
973. C83#62805semidirect
980. #557C2×D83semidirect
981. #557C2×D83semidirect
988. #556C2×D83semidirect
989. #556C2×D83semidirect
1012. #552C2×D83semidirect
1013. #552C2×D83semidirect
1047. #541C2×D83semidirect
1077. #533C2×D83semidirect
1078. #533C2×D83semidirect
1079. #533C2×D83semidirect
1088. C2×C4⋊Q8C2×D83semidirect
1125. #519C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249215562
#249215112
#249215092
#249214772
#249214402
#249214382
#249213752
#249213742
#249213422
#249212752
#249212462
#249212072
#249212052
#249211412
#249210832
#249210822
#249210772
#249210452
#249210242
#249210162
#249208952
#249208872
#249207602
C2×#191282562
#533×D832
#249206722
C4×#41×D832
C83×#35092
#6280583