Finite Group Databasebeta

← #36312985

Subgroups — #36312985

Order 21248.

7210 conjugacy classes of subgroups.

The subgroup lattice has 1932 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921384C212yesmaximal, complemented
2#24921380C212yesmaximal, complemented
3#24921376C211yesmaximal, characteristic, complemented
4#24921374C211yesmaximal, characteristic, complemented
5#24921370C211yesmaximal, characteristic, complemented
6#24921355C214yesmaximal, complemented
7#24921342C212yesmaximal, complemented
8#24921332C212yesmaximal, complemented
9#24921326C212yesmaximal, complemented
10#24921318C212yesmaximal, complemented
11#24921313C212yesmaximal, complemented
12#24921305C212yesmaximal, complemented
13#24921299C214yesmaximal, complemented
14#24921292C214yesmaximal, complemented
15#24921057C214yesmaximal, complemented
16#24921053C214yesmaximal, complemented
17#24921029C212yesmaximal, complemented
18#24921026C212yesmaximal, complemented
19#24921024C212yesmaximal, complemented
20#24921020C212yesmaximal, complemented
21#24920850C214yesmaximal, complemented
22#24920791C212yesmaximal, complemented
23#24920760C212yesmaximal, complemented
24#24920758C212yesmaximal, complemented
25C2×#19128256C211yesmaximal, characteristic, complemented
26#532×D83C211yesmaximal, characteristic, complemented
27#24920663C212yesmaximal, complemented
28C4×#41×D83C211yesmaximal, characteristic, complemented
29C83×#3511C211yesmaximal, characteristic, complemented
30C2×#41×D83C2211yescharacteristic
31C2×#41×D83C2212yes—
32#19128435C2218yescomplemented
33#19128434C2214yescomplemented
34#19128433C2218yescomplemented
35#19128433C2214yescomplemented
36#19128428C2214yescomplemented
37#19128427C2214yescomplemented
38#19128425C2212yescomplemented
39#19128424C2212yescomplemented
40#19128422C2218yescomplemented
41#19128422C2214yescomplemented
42#19128421C2212yescomplemented
43#19128419C2214yescomplemented
44#19128418C2218yescomplemented
45#19128417C2212yescomplemented
46#19128416C2212yescomplemented
47#19128416C2212yescomplemented
48#19128412C2212yescomplemented
49#19128411C2212yescomplemented
50#19128408C2212yescomplemented
51#19128403C2214yescomplemented
52#19128403C2214yescomplemented
53#19128403C2218yescomplemented
54#19128400C2218yescomplemented
55#19128399C2214yescomplemented
56#19128399C2214yescomplemented
57#19128398C2214yescomplemented
58#19128397C2214yescomplemented
59#19128397C2218yescomplemented
60#19128395C2214yescomplemented
61#19128394C2218yescomplemented
62#19128393C2214yescomplemented
63#19128392C2214yescomplemented
64#19128390C2214yescomplemented
65#19128390C2214yescomplemented
66#19128389C2214yescomplemented
67#19128386C2214yescomplemented
68#19128385C2214yescomplemented
69#19128385C2214yescomplemented
70#19128381C2218yescomplemented
71#19128378C2218yescomplemented
72#19128376C2218yescomplemented
73#19128374C2218yescomplemented
74#19128370C2214yescomplemented
75#19128369C2214yescomplemented
76#19128362C2214yescomplemented
77#19128360C2214yescomplemented
78#19128357C2214yescomplemented
79#19128356C2212yescomplemented
80#19128355C2212yescomplemented
81#19128354C2212yescomplemented
82#19128348C2214yescomplemented
83#19128346C2214yescomplemented
84#19128344C2214yescomplemented
85#19128339C2214yescomplemented
86#19128325C2214yescomplemented
87#19128322C2214yescomplemented
88#19128320C2214yescomplemented
89#19128311C2214yescomplemented
90#19128309C2214yescomplemented
91#19128304C2214yescomplemented
92#19128302C2214yescomplemented
93#19128297C2218yescomplemented
94#19128292C2218yescomplemented
95#19128287C2218yescomplemented
96#19128285C2218yescomplemented
97#19128282C2212yescomplemented
98#19128279C2212yescomplemented
99#19128279C2212yescomplemented
100#19128274C2214yes—
101#19128274C2214yescomplemented
102#19128267C2214yes—
103#19128267C2214yescomplemented
104#19128259C2218yes—
105#19128258C2212yescomplemented
106#19128256C2212yescomplemented
107#19128256C2212yescomplemented
108#19128256C2212yescomplemented
109#19128256C2212yescomplemented
110#19128256C2212yescomplemented
111#19128256C2212yescomplemented
112#19128256C2212yescomplemented
113#19128256C2212yescomplemented
114#19128256C2212yescomplemented
115#19128256C2212yescomplemented
116#19128252C2211yescharacteristic
117#19128252C2212yescomplemented
118#19128251C2211yescharacteristic, complemented
119#19128251C2212yescomplemented
120#19128250C2212yes—
121#19128249C2211yescharacteristic
122#19128249C2212yescomplemented
123#19128248C2212yes—
124#19128248C2212yes—
125#19128247C2212yescomplemented
126#19128246C2212yescomplemented
127#19128246C2212yescomplemented
128#19128246C2218yescomplemented
129C2×#14581792C2211yescharacteristic, complemented
130C4⋊Q8×D83C2211yescharacteristic, complemented
131#127×D83C2211yescharacteristic, complemented
132#19128238C2214yescomplemented
133#19128238C2214yescomplemented
134#19128237C2214yescomplemented
135#19128237C2218yescomplemented
136#19128237C2214yescomplemented
137#19128236C2214yescomplemented
138#19128236C2214yescomplemented
139#19128234C2218yescomplemented
140#19128233C2214yescomplemented
141#19128233C2214yescomplemented
142#19128232C2214yescomplemented
143#19128232C2214yescomplemented
144#19128230C2218yescomplemented
145#19128230C2214yescomplemented
146#19128230C2214yescomplemented
147#19128228C2218yescomplemented
148C2×#14581783C2212yescomplemented
149#124×D83C2212yescomplemented
150#19128214C2214yes—
151#19128214C2214yescomplemented
152#19128214C2214yescomplemented
153#19128213C2214yescomplemented
154#19128211C2214yes—
155#19128211C2214yescomplemented
156#19128211C2214yescomplemented
157#19128208C2214yescomplemented
158C2×#14581772C2212yes—
159C2×#14581768C2212yes—
160#121×D83C2212yes—
161#121×D83C2212yes—
162#19128184C2212yescomplemented
163#19128182C2212yescomplemented
164#19128182C2214yescomplemented
165#19128181C2212yescomplemented
166#19128181C2214yescomplemented
167#19128177C2214yescomplemented
168#19128173C2218yes—
169#19128173C2214yescomplemented
170#41×Dic83C2211yescharacteristic, complemented
171#41×Dic83C2214yescomplemented
172C4×#13050591C2211yescharacteristic
173C4×#13050591C2211yescharacteristic
174C4×#13050591C2214yescomplemented
175C4×#13050591C2214yescomplemented
176C4×#13050590C2212yes—
177C4×#13050590C2211yescharacteristic, complemented
178#19128169C2212yes—
179#19128169C2211yescharacteristic, complemented
180#19128169C2214yescomplemented
181C4×#13050589C2211yescharacteristic
182C4×#13050589C2211yescharacteristic
183C4×#13050589C2214yescomplemented
184C4×#13050589C2212yescomplemented
185C4×#13050589C2212yescomplemented
186C4×#13050589C2218yescomplemented
187C4×#13050589C2214yescomplemented
188C2×Q8×Dic83C2212yescomplemented
189C2×#14581757C2212yescomplemented
190C4×Q8×D83C2211yescharacteristic, complemented
191C4×Q8×D83C2211yescharacteristic, complemented
192C4×D4×D83C2212yes—
193C4×D4×D83C2212yes—
194C4×D4×D83C2211yescharacteristic, complemented
195C4×D4×D83C2211yescharacteristic, complemented
196C4×D4×D83C2212yescomplemented
197C4×D4×D83C2212yescomplemented
198C2×#14581750C2212yes—
199C2×#14581750C2214yescomplemented
200#117×D83C2211yescharacteristic
201#117×D83C2212yescomplemented
202#117×D83C2214yescomplemented
203C2×C42×D83C2211yescharacteristic
204C2×C42×D83C2212yescomplemented
205#556×C83C2212yescomplemented
206#555×C83C2212yescomplemented
207#554×C83C2212yescomplemented
208#553×C83C2214yescomplemented
209#548×C83C2214yescomplemented
210#547×C83C2212yescomplemented
211#542×C83C2214yescomplemented
212#537×C83C2212yescomplemented
213#533×C83C2212yescomplemented
214#532×C83C2211yescharacteristic, complemented
215#532×C83C2212yescomplemented
216C2×C4⋊Q8×C83C2211yescharacteristic, complemented
217#520×C83C2212yescomplemented
218C4×#41×C83C2211yescharacteristic, complemented
219C2×#13050591C2311yescharacteristic
220C2×#13050591C2312yes—
221C2×#13050591C2314yes—
222C2×#13050590C2312yes—
223C2×#13050590C2311yescharacteristic
224C2×#13050590C2312yes—
225C2×#13050590C2314yes—
226C2×#13050590C2314yes—
227C2×#13050589C2311yescharacteristic
228C2×#13050589C2312yes—
229C2×#13050589C2312yes—
230C2×#13050589C2314yes—
231C2×#13050589C2314yes—
232#41×D83—28no—
233#41×D83—216no—
234C22×Dic166C2312yes—
235C2×Q8×D83C2311yescharacteristic
236C2×Q8×D83C2312yes—
237C2×D4×D83C2312yes—
238C2×D4×D83C2311yescharacteristic
239C2×D4×D83C2314yes—
240C2×D4×D83C2312yes—
241C2×D4×D83C2312yes—
242C2×D4×D83C2312yes—
243C22×C4×D83C2312yes—
244C22×C4×D83C2314yes—
245C22×C4×D83C2311yescharacteristic
246C22×C4×D83C2311yescharacteristic
247C22×C4×D83C2312yes—
248C22×C4×D83C2312yes—
249C22×C4×D83C2311yescharacteristic
250#14581792C2312yes—
251#14581792C2312yes—
252#14581792C2312yes—
253#14581792C2311yescharacteristic
254#14581792C2312yes—
255#14581791C2318yes—
256#14581791C2312yes—
257#14581791C2312yes—
258#14581790C2312yes—
259#14581789C2311yescharacteristic
260#14581788C2312yes—
261#14581788C2318yes—
262#14581788C2312yes—
263#14581788C2312yes—
264#14581787C2318yes—
265#14581787C2318yes—
266#14581787C2318yes—
267#14581787C2318yes—
268#14581787C2318yes—
269#14581786C2318yes—
270#14581785C2318yes—
271#14581785C2318yes—
272#14581785C2318yes—
273#14581785C2318yes—
274#14581785C2318yes—
275#14581784C2318yes—
276#14581784C2314yes—
277#14581783C2314yes—
278#14581783C2314yes—
279#14581783C2318yes—
280#14581783C2314yes—
281#14581783C2314yes—
282#14581783C2314yes—
283#14581783C2314yes—
284#14581782C2318yes—
285#14581782C2318yes—
286#14581781C2318yes—
287#14581781C2314yes—
288#14581781C2312yes—
289#14581780C2312yes—
290#14581780C2314yes—
291#14581779C2314yes—
292#14581779C2312yes—
293#14581778C2318yes—
294#14581778C2318yes—
295#14581778C2314yes—
296#14581778C2318yes—
297#14581778C2318yes—
298#14581778C2314yes—
299#14581777C2318yes—
300#14581777C2318yes—
301#14581777C2318yes—
302#14581777C2318yes—
303#14581776C2318yes—
304#14581776C2318yes—
305#14581776C2318yes—
306#14581775C2318yes—
307#14581774C2318yes—
308#14581774C2318yes—
309#14581774C2318yes—
310#14581774C2318yes—
311#14581774C2318yes—
312#14581774C2318yes—
313#14581773C2318yes—
314#14581772C2314yes—
315#14581772C2314yes—
316#14581772C2314yes—
317#14581772C2314yes—
318#14581772C2314yes—
319#14581772C2314yes—
320#14581772C2314yes—
321#14581771C2314yes—
322#14581771C2314yes—
323#14581771C2314yes—
324#14581770C2318yes—
325#14581769C2318yes—
326#14581768C2314yes—
327#14581768C2318yes—
328#14581768C2314yes—
329#14581768C2314yes—
330#14581768C2314yes—
331#14581768C2314yes—
332#14581768C2314yes—
333#14581768C2314yes—
334#14581767C2314yes—
335#14581767C2314yes—
336#14581767C2314yes—
337#14581767C2312yes—
338#14581767C2312yes—
339#14581766C2314yes—
340#14581766C2314yes—
341#14581766C2318yes—
342#14581766C2314yes—
343#14581766C2312yes—
344#14581766C2312yes—
345#14581766C2318yes—
346#14581765C2318yes—
347#14581765C2314yes—
348#14581765C2314yes—
349#14581764C2318yes—
350#14581764C2318yes—
351#14581764C2318yes—
352#14581764C2314yes—
353#14581764C2314yes—
354#14581763C2314yes—
355#14581763C2314yes—
356#14581763C2318yes—
357#14581763C2314yes—
358#14581763C2312yes—
359#14581763C2312yes—
360#14581762C2318yes—
361#14581762C2318yes—
362#14581760C2318yes—
363#14581760C2318yes—
364Q8×Dic83C2314yes—
365Q8×Dic83C2314yes—
366Q8×Dic83C2314yes—
367Q8×Dic83C2311yescharacteristic
368Q8×Dic83C2311yescharacteristic
369Q8×Dic83C2314yes—
370Q8×Dic83C2314yes—
371Q8×Dic83C2314yes—
372C4×Dic166C2314yes—
373C4×Dic166C2314yes—
374C4×Dic166C2311yescharacteristic
375C4×Dic166C2311yescharacteristic
376C4×Dic166C2318yes—
377C4×Dic166C2312yes—
378C4×Dic166C2312yes—
379#14581757C2314yes—
380#14581757C2314yes—
381#14581757C2314yes—
382#14581757C2311yescharacteristic
383#14581757C2311yescharacteristic
384#14581757C2312yes—
385#14581757C2314yes—
386#14581757C2312yes—
387#14581757C2314yes—
388#14581757C2314yes—
389#14581757C2318yes—
390C4×D332C2314yes—
391C4×D332C2312yes—
392C4×D332C2314yes—
393C4×D332C2312yes—
394C4×D332C2311yescharacteristic
395C4×D332C2312yes—
396C4×D332C2311yescharacteristic
397C4×D332C2312yes—
398C4×D332C2318yes—
399C4×D332C2318yes—
400D4×Dic83C2314yes—
401D4×Dic83C2314yes—
402D4×Dic83C2318yes—
403D4×Dic83C2318yes—
404D4×Dic83C2312yes—
405D4×Dic83C2311yescharacteristic
406D4×Dic83C2312yes—
407D4×Dic83C2311yescharacteristic
408D4×Dic83C2312yes—
409D4×Dic83C2312yes—
410D4×Dic83C2318yes—
411#14581754C2314yes—
412#14581754C2314yes—
413#14581754C2312yes—
414#14581754C2312yes—
415#14581754C2311yescharacteristic
416#14581754C2311yescharacteristic
417#14581754C2312yes—
418#14581754C2312yes—
419#14581754C2318yes—
420#14581754C2318yes—
421C4×C22⋊D83C2312yes—
422C4×C22⋊D83C2312yes—
423C4×C22⋊D83C2312yes—
424C4×C22⋊D83C2312yes—
425C4×C22⋊D83C2318yes—
426C4×C22⋊D83C2312yes—
427C4×C22⋊D83C2312yes—
428C4×C22⋊D83C2318yes—
429C4×C22⋊D83C2318yes—
430C4×C22⋊D83C2314yes—
431C4×C22⋊D83C2314yes—
432C4×C22⋊D83C2318yes—
433(C22⋊D83)⋊C4C2318yes—
434(C22⋊D83)⋊C4C2318yes—
435(C22⋊D83)⋊C4C2312yes—
436(C22⋊D83)⋊C4C2312yes—
437(C22⋊D83)⋊C4C2318yes—
438(C22⋊D83)⋊C4C2312yes—
439(C22⋊D83)⋊C4C2312yes—
440(C22⋊D83)⋊C4C2312yes—
441(C22⋊D83)⋊C4C2312yes—
442(C22⋊D83)⋊C4C2314yes—
443(C22⋊D83)⋊C4C2314yes—
444(C22⋊D83)⋊C4C2318yes—
445(C22⋊D83)⋊C4C2318yes—
446(C22⋊D83)⋊C4C2318yes—
447#14581751C2318yes—
448#14581751C2314yes—
449#14581751C2314yes—
450#14581751C2311yescharacteristic
451#14581751C2312yes—
452#14581750C2318yes—
453#14581750C2318yes—
454#14581750C2314yes—
455#14581750C2314yes—
456#14581750C2314yes—
457#14581750C2314yes—
458#14581750C2311yescharacteristic
459#14581750C2311yescharacteristic
460#14581750C2314yes—
461#14581750C2312yes—
462#14581750C2312yes—
463#14581750C2314yes—
464#14581750C2314yes—
465#14581750C2314yes—
466#14581750C2318yes—
467#14581749C2312yes—
468#14581749C2318yes—
469#14581749C2318yes—
470#14581749C2312yes—
471#14581749C2312yes—
472#14581748C2318yes—
473#14581748C2312yes—
474#14581748C2312yes—
475#14581748C2312yes—
476#14581748C2318yes—
477C2×C4⋊Dic83C2314yes—
478C2×C4⋊Dic83C2312yes—
479C2×C4⋊Dic83C2314yes—
480C2×C4⋊Dic83C2312yes—
481C2×Dic83⋊C4C2314yes—
482C4⋊C4×D83C2314yes—
483C4⋊C4×D83C2314yes—
484C4⋊C4×D83C2312yes—
485C4⋊C4×D83C2312yes—
486C4⋊C4×D83C2311yescharacteristic
487C4⋊C4×D83C2311yescharacteristic
488C4⋊C4×D83C2312yes—
489C4⋊C4×D83C2312yes—
490C2×(C2×D83)⋊C4C2318yes—
491C2×(C2×D83)⋊C4C2314yes—
492C22⋊C4×D83C2318yes—
493C22⋊C4×D83C2314yes—
494C22⋊C4×D83C2314yes—
495C22⋊C4×D83C2312yes—
496C22⋊C4×D83C2312yes—
497C22⋊C4×D83C2312yes—
498C2×C4×Dic83C2311yescharacteristic
499C2×C4×Dic83C2311yescharacteristic
500C2×C4×Dic83C2311yescharacteristic
501C2×C4×Dic83C2312yes—
502C2×C4×Dic83C2312yes—
503C2×C4×Dic83C2312yes—
504C2×C4×Dic83C2314yes—
505C2×C4×Dic83C2318yes—
506C42×D83C2311yescharacteristic
507C42×D83C2311yescharacteristic
508C42×D83C2311yescharacteristic
509C42×D83C2311yescharacteristic
510C42×D83C2311yescharacteristic
511C42×D83C2311yescharacteristic
512C42×D83C2311yescharacteristic
513C42×D83C2311yescharacteristic
514C42×D83C2312yes—
515C42×D83C2312yes—
516C42×D83C2312yes—
517C42×D83C2312yes—
518C42×D83C2312yes—
519C42×D83C2312yes—
520C42×D83C2312yes—
521C42×D83C2318yes—
522C2×#41×C83C2311yescharacteristic
523C2×#41×C83C2312yes—
524C2×#41×C83C2314yes—
525C22×Q8×C83C2312yes—
526C4⋊Q8×C83C2312yes—
527C4⋊Q8×C83C2312yes—
528C4⋊Q8×C83C2312yes—
529C4⋊Q8×C83C2312yes—
530C4⋊Q8×C83C2311yescharacteristic
531#127×C83C2311yescharacteristic
532#126×C83C2318yes—
533#125×C83C2314yes—
534#124×C83C2312yes—
535#124×C83C2314yes—
536#124×C83C2318yes—
537#123×C83C2318yes—
538C22⋊Q8×C83C2318yes—
539C22⋊Q8×C83C2314yes—
540C22⋊Q8×C83C2314yes—
541C22⋊Q8×C83C2314yes—
542#121×C83C2314yes—
543#121×C83C2312yes—
544#121×C83C2314yes—
545#121×C83C2312yes—
546#121×C83C2318yes—
547#121×C83C2314yes—
548C4×Q8×C83C2311yescharacteristic
549C4×Q8×C83C2311yescharacteristic
550C4×Q8×C83C2314yes—
551C4×Q8×C83C2314yes—
552C4×D4×C83C2314yes—
553C4×D4×C83C2312yes—
554C4×D4×C83C2311yescharacteristic
555C4×D4×C83C2312yes—
556C4×D4×C83C2312yes—
557C4×D4×C83C2311yescharacteristic
558C4×D4×C83C2314yes—
559C4×D4×C83C2318yes—
560C4×D4×C83C2312yes—
561#117×C83C2312yes—
562#117×C83C2311yescharacteristic
563#117×C83C2314yes—
564#117×C83C2314yes—
565C2×C4⋊C4×C83C2314yes—
566C2×C4⋊C4×C83C2312yes—
567C2×C4⋊C4×C83C2312yes—
568C2×C42×C83C2311yescharacteristic
569C2×C42×C83C2312yes—
570C23×D83C2412yes—
571C23×D83C2414yes—
572C23×D83C2411yescharacteristic
573#13050591—24no—
574#13050591—28no—
575#13050591—48no—
576#13050590—24no—
577#13050590—28no—
578#13050590—28no—
579#13050590—216no—
580#13050590—48no—
581#13050589—28no—
582#13050589—216no—
583#13050589—24no—
584#13050589—28no—
585#13050589—48no—
586C2×Dic166—44no—
587C2×Dic166C2411yescharacteristic
588C2×Dic166C2412yes—
589C2×Dic166C2414yes—
590C2×Dic166C2414yes—
591C2×Dic166C2412yes—
592C2×Dic166C2414yes—
593Q8×D83—28no—
594Q8×D83—24no—
595C2×D332C2412yes—
596C2×D332C2414yes—
597C2×D332C2411yescharacteristic
598C2×D332C2412yes—
599C2×D332C2412yes—
600C2×D332C2412yes—
601C2×D332C2418yes—
602C2×C22⋊D83C2412yes—
603C2×C22⋊D83C2414yes—
604C2×C22⋊D83C2412yes—
605C2×C22⋊D83C2414yes—
606C2×C22⋊D83C2414yes—
607C2×C22⋊D83C2412yes—
608C2×C22⋊D83C2418yes—
609C2×C22⋊D83C2418yes—
610C2×C22⋊D83C2414yes—
611C2×C22⋊D83C2414yes—
612D4×D83—28no—
613D4×D83—216no—
614D4×D83—28no—
615D4×D83—24no—
616D4×D83—44no—
617D4×D83—44no—
618C22×Dic83C2412yes—
619C22×Dic83C2414yes—
620C22×Dic83C2411yescharacteristic
621C22×Dic83C2411yescharacteristic
622C22×Dic83C2414yes—
623C22×Dic83C2418yes—
624C22×Dic83C2412yes—
625C22×Dic83C2412yes—
626C22×Dic83C2411yescharacteristic
627C2×C4×D83—216no—
628C2×C4×D83—28no—
629C2×C4×D83—42no—
630C2×C4×D83—42no—
631C2×C4×D83—44no—
632C2×C4×D83—44no—
633C2×C4×D83#4118yescomplemented
634C2×C4×D83C2411yescharacteristic
635C2×C4×D83C2412yes—
636C2×C4×D83C2411yescharacteristic
637C2×C4×D83C2412yes—
638C2×C4×D83C2414yes—
639C2×C4×D83C2412yes—
640C2×C4×D83C2411yescharacteristic
641C2×C4×D83C2411yescharacteristic
642C2×C4×D83C2412yes—
643C2×C4×D83C2414yes—
644C2×C4×D83C2412yes—
645C2×C4×D83C2414yes—
646C2×C4×D83C2418yes—
647C2×C4×D83C2411yescharacteristic
648C2×C4×D83C2411yescharacteristic
649C2×C4×D83C2418yes—
650C2×C4×D83C2411yescharacteristic
651C2×C4×D83C2411yescharacteristic
652C2×C4×D83C2412yes—
653C2×C4×D83C2412yes—
654C2×C4×D83C2412yes—
655C2×C4×D83C2412yes—
656C2×C4×D83C2411yescharacteristic
657C2×C4×D83C2411yescharacteristic
658C2×C4×D83C2411yescharacteristic
659C2×C4×D83C2411yescharacteristic
660C4⋊Dic83C2414yes—
661C4⋊Dic83C2412yes—
662C4⋊Dic83C2414yes—
663C4⋊Dic83C2414yes—
664C4⋊Dic83C2412yes—
665C4⋊Dic83C2418yes—
666C4⋊Dic83C2418yes—
667C4⋊Dic83C2414yes—
668C4⋊Dic83C2418yes—
669C4⋊Dic83C2418yes—
670C4⋊Dic83C2412yes—
671C4⋊Dic83C2412yes—
672C4⋊Dic83C2411yescharacteristic
673C4⋊Dic83C2411yescharacteristic
674Dic83⋊C4C2418yes—
675Dic83⋊C4C2414yes—
676Dic83⋊C4C2414yes—
677Dic83⋊C4C2418yes—
678Dic83⋊C4C2418yes—
679Dic83⋊C4C2412yes—
680Dic83⋊C4C2418yes—
681Dic83⋊C4C2418yes—
682Dic83⋊C4C2412yes—
683Dic83⋊C4C2418yes—
684Dic83⋊C4C2412yes—
685Dic83⋊C4C2412yes—
686Dic83⋊C4C2412yes—
687Dic83⋊C4C2412yes—
688C22⋊Dic83C2418yes—
689C22⋊Dic83C2418yes—
690C22⋊Dic83C2412yes—
691C22⋊Dic83C2418yes—
692C22⋊Dic83C2414yes—
693C22⋊Dic83C2414yes—
694C22⋊Dic83C2412yes—
695C22⋊Dic83C2412yes—
696(C2×D83)⋊C4C2418yes—
697(C2×D83)⋊C4C2418yes—
698(C2×D83)⋊C4C2418yes—
699(C2×D83)⋊C4C2418yes—
700(C2×D83)⋊C4C2418yes—
701(C2×D83)⋊C4C2418yes—
702(C2×D83)⋊C4C2414yes—
703(C2×D83)⋊C4C2418yes—
704(C2×D83)⋊C4C2414yes—
705(C2×D83)⋊C4C2412yes—
706(C2×D83)⋊C4C2414yes—
707(C2×D83)⋊C4C2414yes—
708(C2×D83)⋊C4C2412yes—
709(C2×D83)⋊C4C2418yes—
710(C2×D83)⋊C4C2412yes—
711(C2×D83)⋊C4C2412yes—
712(C2×D83)⋊C4C2412yes—
713(C2×D83)⋊C4C2412yes—
714C4×Dic83C2411yescharacteristic
715C4×Dic83C2411yescharacteristic
716C4×Dic83C2418yes—
717C4×Dic83C2418yes—
718C4×Dic83C2418yes—
719C4×Dic83C2411yescharacteristic
720C4×Dic83C2412yes—
721C4×Dic83C2412yes—
722C4×Dic83C2418yes—
723C4×Dic83C2411yescharacteristic
724C4×Dic83C2411yescharacteristic
725C4×Dic83C2411yescharacteristic
726C4×Dic83C2412yes—
727C4×Dic83C2412yes—
728C4×Dic83C2412yes—
729C4×Dic83C2412yes—
730C4×Dic83C2411yescharacteristic
731C4×Dic83C2411yescharacteristic
732C4×Dic83C2412yes—
733C4×Dic83C2411yescharacteristic
734C4×Dic83C2411yescharacteristic
735C4×Dic83C2412yes—
736C4×Dic83C2411yescharacteristic
737C4×Dic83C2411yescharacteristic
738C4×Dic83C2412yes—
739C4×Dic83C2418yes—
740#41×C83—24no—
741#41×C83—28no—
742#41×C83—48no—
743C2×Q8×C83—44no—
744C2×Q8×C83C2411yescharacteristic
745C2×Q8×C83C2414yes—
746C2×Q8×C83C2412yes—
747C2×Q8×C83C2414yes—
748C2×D4×C83C2411yescharacteristic
749C2×D4×C83C2412yes—
750C2×D4×C83C2412yes—
751C2×D4×C83C2412yes—
752C2×D4×C83C2414yes—
753C2×D4×C83C2412yes—
754C2×D4×C83C2418yes—
755C22×C4×C83C2412yes—
756C22×C4×C83C2411yescharacteristic
757C22×C4×C83C2411yescharacteristic
758C22×C4×C83C2412yes—
759C22×C4×C83C2414yes—
760C22×C4×C83C2412yes—
761C22×C4×C83C2414yes—
762C22×C4×C83C2418yes—
763C22×C4×C83C2411yescharacteristic
764C4⋊C4×C83C2414yes—
765C4⋊C4×C83C2412yes—
766C4⋊C4×C83C2414yes—
767C4⋊C4×C83C2414yes—
768C4⋊C4×C83C2412yes—
769C4⋊C4×C83C2412yes—
770C4⋊C4×C83C2414yes—
771C4⋊C4×C83C2418yes—
772C4⋊C4×C83C2418yes—
773C4⋊C4×C83C2412yes—
774C4⋊C4×C83C2411yescharacteristic
775C4⋊C4×C83C2411yescharacteristic
776C22⋊C4×C83C2418yes—
777C22⋊C4×C83C2418yes—
778C22⋊C4×C83C2414yes—
779C22⋊C4×C83C2418yes—
780C22⋊C4×C83C2414yes—
781C22⋊C4×C83C2412yes—
782C22⋊C4×C83C2412yes—
783C22⋊C4×C83C2412yes—
784C42×C83C2411yescharacteristic
785C42×C83C2412yes—
786C42×C83C2412yes—
787C42×C83C2418yes—
788C42×C83C2411yescharacteristic
789C42×C83C2411yescharacteristic
790C42×C83C2411yescharacteristic
791C42×C83C2412yes—
792C23×C83C2514yes—
793C23×C83C2512yes—
794C23×C83C2511yescharacteristic
795C22×D83—24no—
796C22×D83—28no—
797C22×D83—41no—
798C22×D83—41no—
799C22×D83—42no—
800C22×D83—42no—
801C22×D83—44no—
802C22×D83—44no—
803C22×D83C2×#4114yes—
804C22×D83C2512yes—
805C22×D83C2514yes—
806C22×D83C2511yescharacteristic
807C22×D83C2511yescharacteristic
808Q8×C83—24no—
809Q8×C83—22no—
810Q8×C83—28no—
811Q8×C83—44no—
812D4×C83—24no—
813D4×C83—28no—
814D4×C83—24no—
815D4×C83—22no—
816D4×C83—24no—
817D4×C83—24no—
818D4×C83—48no—
819C2×C4×C83—24no—
820C2×C4×C83—28no—
821C2×C4×C83—22no—
822C2×C4×C83—24no—
823C2×C4×C83—22no—
824C2×C4×C83—24no—
825C2×C4×C83—44no—
826C2×C4×C83—48no—
827C2×C4×C83C2×#4114yes—
828C2×C4×C83C2512yes—
829C2×C4×C83C2511yescharacteristic
830C2×C4×C83C2511yescharacteristic
831C2×C4×C83C2512yes—
832C2×C4×C83C2514yes—
833C2×C4×C83C2512yes—
834C2×C4×C83C2518yes—
835C2×C4×C83C2511yescharacteristic
836C2×C4×C83C2511yescharacteristic
837C2×C4×C83C2511yescharacteristic
838C2×C4×C83C2511yescharacteristic
839C22⋊D83—24no—
840C22⋊D83—28no—
841C22⋊D83—24no—
842C22⋊D83—28no—
843C22⋊D83—24no—
844C22⋊D83—28no—
845C22⋊D83—44no—
846C22⋊D83—44no—
847C22⋊D83—48no—
848C22⋊D83—48no—
849C2×Dic83—24no—
850C2×Dic83—28no—
851C2×Dic83—42no—
852C2×Dic83—42no—
853C2×Dic83—41no—
854C2×Dic83—41no—
855C2×Dic83—44no—
856C2×Dic83—48no—
857C2×Dic83C2×#4114yes—
858C2×Dic83C2512yes—
859C2×Dic83C2511yescharacteristic
860C2×Dic83C2511yescharacteristic
861C2×Dic83C2512yes—
862C2×Dic83C2518yes—
863C2×Dic83C2514yes—
864C2×Dic83C2512yes—
865C2×Dic83C2511yescharacteristic
866C2×Dic83C2511yescharacteristic
867C2×Dic83C2511yescharacteristic
868C2×Dic83C2511yescharacteristic
869D332—24no—
870D332—28no—
871D332—24no—
872D332—22no—
873D332—24no—
874D332—24no—
875D332—48no—
876C4×D83—28no—
877C4×D83—24no—
878C4×D83—24no—
879C4×D83—28no—
880C4×D83—22no—
881C4×D83—22no—
882C4×D83—22no—
883C4×D83—22no—
884C4×D83—24no—
885C4×D83—24no—
886C4×D83—24no—
887C4×D83—28no—
888C4×D83—42no—
889C4×D83—41no—
890C4×D83—42no—
891C4×D83—42no—
892C4×D83—41no—
893C4×D83—42no—
894C4×D83—41no—
895C4×D83—41no—
896C4×D83—48no—
897C4×D83—48no—
898C4×D83C2×#4114yes—
899C4×D83C2×#4114yes—
900C4×D83C2×#4114yes—
901C4×D83C2×#4114yes—
902Dic166—24no—
903Dic166—22no—
904Dic166—28no—
905Dic166—28no—
906Dic166—24no—
907Dic166—44no—
908C22×C83—21no—
909C22×C83—21no—
910C22×C83—22no—
911C22×C83—24no—
912C22×C83—24no—
913C22×C83—22no—
914C22×C83—22no—
915C22×C83—24no—
916C22×C83C22×#4112yes—
917C22×C83C2611yescharacteristic
918C2×D83—21no—
919C2×D83—21no—
920C2×D83—21no—
921C2×D83—21no—
922C2×D83—22no—
923C2×D83—24no—
924C2×D83—22no—
925C2×D83—22no—
926C2×D83—24no—
927C2×D83—24no—
928C2×D83—44no—
929C2×D83—48no—
930C2×D83—88no—
931C2×D83C22×#4112yes—
932C2×D83C22×#4112yes—
933C4×C83—24no—
934C4×C83—22no—
935C4×C83—21no—
936C4×C83—22no—
937C4×C83—22no—
938C4×C83—21no—
939C4×C83—28no—
940C4×C83C22×#4112yes—
941C4×C83C22×#4112yes—
942C4×C83#58512yes—
943C4×C83#58512yes—
944Dic83—24no—
945Dic83—22no—
946Dic83—28no—
947Dic83—22no—
948Dic83—21no—
949Dic83—21no—
950Dic83—22no—
951Dic83—21no—
952Dic83—21no—
953Dic83C22×#4112yes—
954Dic83C22×#4112yes—
955#62815—831nomaximal, Sylow
956C2×C83—22no—
957C2×C83—42no—
958C2×C83—44no—
959C2×C83C23×#4111yescharacteristic
960C2×C83C2×#58511yescharacteristic
961C2×C83C2×#58511yescharacteristic
962D83—22no—
963D83—22no—
964D83—42no—
965D83—44no—
966#3512—832no—
967#3512—832no—
968#3511—831no—
969#3511—831no—
970#3511—831no—
971#3511D8311yescharacteristic, complemented
972#3510—834no—
973#3509—832no—
974#3508—832no—
975#3507—832no—
976#3507—832no—
977#3506—832no—
978#3506—832no—
979#3505—834no—
980#3505—834no—
981#3480—834no—
982#3480—834no—
983#3475—832no—
984#3475—832no—
985#3475—832no—
986#3475—832no—
987#3455—834no—
988#3449—832no—
989#3444—832no—
990#3444—832no—
991C2×#533—831no—
992C2×#532—831no—
993#3428—832no—
994C2×C4×#41—831no—
995C83#6281511yescharacteristic, complemented, Sylow
996C22×#41—831no—
997C22×#41—832no—
998#559—838no—
999#559—834no—
1000#559—838no—
1001#559—834no—
1002#557—834no—
1003#557—834no—
1004#556—832no—
1005#556—838no—
1006#556—834no—
1007#556—838no—
1008#556—832no—
1009#556—832no—
1010#556—834no—
1011#556C2×D8312yescomplemented
1012#555—832no—
1013#555—832no—
1014#555—832no—
1015#555C2×D8312yescomplemented
1016#554—832no—
1017#554—832no—
1018#554—832no—
1019#554C2×D8312yescomplemented
1020#553—838no—
1021#553—834no—
1022#553—834no—
1023#553—834no—
1024#553—838no—
1025#553—834no—
1026#553—838no—
1027#553—838no—
1028#553—834no—
1029#553—834no—
1030#553—834no—
1031#553C2×D8314yescomplemented
1032#552—834no—
1033#552—834no—
1034#552—834no—
1035#552—834no—
1036#552—834no—
1037#552—834no—
1038#552—834no—
1039#552—834no—
1040#551—838no—
1041#551—838no—
1042#551—838no—
1043#551—838no—
1044#550—834no—
1045#550—834no—
1046#548—834no—
1047#548—834no—
1048#548—834no—
1049#548C2×D8314yescomplemented
1050#547—832no—
1051#547—832no—
1052#547—832no—
1053#547C2×D8312yescomplemented
1054#546—834no—
1055#546—834no—
1056#546—834no—
1057#546—834no—
1058#542—834no—
1059#542—834no—
1060#542—834no—
1061#542C2×D8314yescomplemented
1062#541—834no—
1063#541—834no—
1064#540—834no—
1065#540—834no—
1066#539—838no—
1067#539—838no—
1068#538—838no—
1069#538—838no—
1070#537—832no—
1071#537—832no—
1072#537—832no—
1073#537C2×D8312yescomplemented
1074#536—834no—
1075#536—834no—
1076#535—834no—
1077#535—834no—
1078#534—838no—
1079#533—832no—
1080#533—832no—
1081#533—832no—
1082#533—832no—
1083#533—832no—
1084#533—832no—
1085#533—832no—
1086#533—832no—
1087#533—832no—
1088#533—832no—
1089#533—832no—
1090#533C2×D8312yescomplemented
1091#532—832no—
1092#532—831no—
1093#532—832no—
1094#532—831no—
1095#532—832no—
1096#532—832no—
1097#532—832no—
1098#532—832no—
1099#532—838no—
1100#532—832no—
1101#532—832no—
1102#532—831no—
1103#532—832no—
1104#532C2×D8311yescharacteristic, complemented
1105#532C2×D8312yescomplemented
1106C2×C4⋊Q8—831no—
1107C2×C4⋊Q8—831no—
1108C2×C4⋊Q8C2×D8311yescharacteristic, complemented
1109C2×#127—831no—
1110#529—838no—
1111#529—834no—
1112#529—834no—
1113#529—834no—
1114#529—834no—
1115#529—838no—
1116#529—838no—
1117#529—834no—
1118#529—834no—
1119#529—838no—
1120#529—834no—
1121#529—834no—
1122#529—834no—
1123#529—834no—
1124#529—834no—
1125#529—834no—
1126C2×#125—832no—
1127C2×#124—832no—
1128#525—834no—
1129#525—834no—
1130#525—834no—
1131#525—834no—
1132#525—834no—
1133#525—834no—
1134#525—834no—
1135#525—834no—
1136C2×C22⋊Q8—832no—
1137C2×C22⋊Q8—832no—
1138C2×#121—832no—
1139C2×#121—832no—
1140#520—832no—
1141#520—834no—
1142#520—832no—
1143#520—834no—
1144#520—832no—
1145#520C2×D8312yescomplemented
1146#519—834no—
1147#518—838no—
1148#518—834no—
1149C4×#41—831no—
1150C4×#41—834no—
1151C4×#41—831no—
1152C4×#41—831no—
1153C4×#41—834no—
1154C4×#41—834no—
1155C4×#41—831no—
1156C4×#41—831no—
1157C4×#41—832no—
1158C4×#41—832no—
1159C4×#41—834no—
1160C4×#41—838no—
1161C4×#41—834no—
1162C4×#41—832no—
1163C4×#41—831no—
1164C4×#41—834no—
1165C4×#41—832no—
1166C4×#41—831no—
1167C4×#41C2×D8311yescharacteristic, complemented
1168C2×C4×Q8—832no—
1169C2×C4×Q8—831no—
1170C2×C4×Q8—831no—
1171C2×C4×Q8—832no—
1172C2×C4×D4—832no—
1173C2×C4×D4—832no—
1174C2×C4×D4—831no—
1175C2×C4×D4—831no—
1176C2×C4×D4—832no—
1177C2×C4×D4—832no—
1178C2×#117—831no—
1179C2×#117—832no—
1180C2×#117—834no—
1181C2×#117—832no—
1182C2×#117—834no—
1183C22×C42—831no—
1184C22×C42—832no—
1185C2×#41—834no—
1186C2×#41—831no—
1187C2×#41—832no—
1188C2×#41—834no—
1189C2×#41—831no—
1190C2×#41—832no—
1191C2×#41—832no—
1192C2×#41—834no—
1193C2×#41—834no—
1194C2×#41—832no—
1195C2×#41—831no—
1196C2×#41—834no—
1197C2×#41—832no—
1198C2×#41—1668no—
1199C2×#41—16616no—
1200C2×#41C22×D8311yescharacteristic
1201C2×#41C22×D8312yes—
1202C2×#41C22×D8314yes—
1203C22×Q8—831no—
1204C22×Q8—832no—
1205C22×Q8—832no—
1206C22×Q8C22×D8312yes—
1207C22×D4—832no—
1208C22×D4—832no—
1209C22×D4—832no—
1210C22×D4—831no—
1211C22×D4—834no—
1212C22×D4—832no—
1213C23×C4—831no—
1214C23×C4—831no—
1215C23×C4—832no—
1216C23×C4—832no—
1217C23×C4—831no—
1218C23×C4—834no—
1219C23×C4—832no—
1220C4⋊Q8—832no—
1221C4⋊Q8—832no—
1222C4⋊Q8—832no—
1223C4⋊Q8—838no—
1224C4⋊Q8—831no—
1225C4⋊Q8—832no—
1226C4⋊Q8—832no—
1227C4⋊Q8—832no—
1228C4⋊Q8—832no—
1229C4⋊Q8C22×D8311yescharacteristic
1230C4⋊Q8C22×D8312yes—
1231C4⋊Q8C22×D8312yes—
1232C4⋊Q8C22×D8312yes—
1233C4⋊Q8C22×D8312yes—
1234#127—832no—
1235#127—832no—
1236#127—832no—
1237#127—838no—
1238#127—831no—
1239#127C22×D8311yescharacteristic
1240#126—838no—
1241#126—838no—
1242#126—838no—
1243#126—838no—
1244#126—838no—
1245#126—838no—
1246#126—838no—
1247#126—838no—
1248#126—838no—
1249#126—838no—
1250#126—838no—
1251#126C22×D8318yes—
1252#125—834no—
1253#125—834no—
1254#125—834no—
1255#125—834no—
1256#125—834no—
1257#125—834no—
1258#125—838no—
1259#125—838no—
1260#125—838no—
1261#125—834no—
1262#125—838no—
1263#125C22×D8314yes—
1264#124—832no—
1265#124—834no—
1266#124—838no—
1267#124—832no—
1268#124—834no—
1269#124—834no—
1270#124—834no—
1271#124—838no—
1272#124—838no—
1273#124—838no—
1274#124—838no—
1275#124—832no—
1276#124—834no—
1277#124C22×D8312yes—
1278#124C22×D8314yes—
1279#124C22×D8318yes—
1280#123—838no—
1281#123—838no—
1282#123—838no—
1283#123—838no—
1284#123—838no—
1285#123—838no—
1286#123—838no—
1287#123—838no—
1288#123—838no—
1289#123—838no—
1290#123—838no—
1291#123—838no—
1292#123—838no—
1293#123—838no—
1294#123—838no—
1295#123C22×D8318yes—
1296C22⋊Q8—834no—
1297C22⋊Q8—834no—
1298C22⋊Q8—834no—
1299C22⋊Q8—834no—
1300C22⋊Q8—834no—
1301C22⋊Q8—834no—
1302C22⋊Q8—834no—
1303C22⋊Q8—838no—
1304C22⋊Q8—834no—
1305C22⋊Q8—834no—
1306C22⋊Q8—834no—
1307C22⋊Q8—838no—
1308C22⋊Q8—834no—
1309C22⋊Q8—834no—
1310C22⋊Q8—834no—
1311C22⋊Q8—834no—
1312C22⋊Q8—834no—
1313C22⋊Q8—834no—
1314C22⋊Q8—834no—
1315C22⋊Q8—838no—
1316C22⋊Q8C22×D8314yes—
1317C22⋊Q8C22×D8314yes—
1318C22⋊Q8C22×D8314yes—
1319C22⋊Q8C22×D8318yes—
1320#121—832no—
1321#121—832no—
1322#121—834no—
1323#121—834no—
1324#121—834no—
1325#121—838no—
1326#121—834no—
1327#121—834no—
1328#121—838no—
1329#121—838no—
1330#121—838no—
1331#121—832no—
1332#121—832no—
1333#121—834no—
1334#121—834no—
1335#121—834no—
1336#121—838no—
1337#121—838no—
1338#121—832no—
1339#121—832no—
1340#121—834no—
1341#121—834no—
1342#121—834no—
1343#121—834no—
1344#121—834no—
1345#121—838no—
1346#121C22×D8312yes—
1347#121C22×D8312yes—
1348#121C22×D8314yes—
1349#121C22×D8314yes—
1350#121C22×D8314yes—
1351#121C22×D8318yes—
1352#120—838no—
1353#120—838no—
1354#120—838no—
1355#120—838no—
1356C4×Q8—834no—
1357C4×Q8—831no—
1358C4×Q8—831no—
1359C4×Q8—834no—
1360C4×Q8—834no—
1361C4×Q8—834no—
1362C4×Q8—834no—
1363C4×Q8—834no—
1364C4×Q8—834no—
1365C4×Q8—831no—
1366C4×Q8—831no—
1367C4×Q8—832no—
1368C4×Q8—832no—
1369C4×Q8—834no—
1370C4×Q8—834no—
1371C4×Q8—834no—
1372C4×Q8—834no—
1373C4×Q8—838no—
1374C4×Q8—834no—
1375C4×Q8—831no—
1376C4×Q8—831no—
1377C4×Q8—832no—
1378C4×Q8—832no—
1379C4×Q8—834no—
1380C4×Q8—838no—
1381C4×Q8—834no—
1382C4×Q8C22×D8311yescharacteristic
1383C4×Q8C22×D8311yescharacteristic
1384C4×Q8C22×D8314yes—
1385C4×Q8C22×D8314yes—
1386C4×D4—832no—
1387C4×D4—832no—
1388C4×D4—832no—
1389C4×D4—832no—
1390C4×D4—831no—
1391C4×D4—831no—
1392C4×D4—834no—
1393C4×D4—838no—
1394C4×D4—838no—
1395C4×D4—838no—
1396C4×D4—834no—
1397C4×D4—832no—
1398C4×D4—832no—
1399C4×D4—832no—
1400C4×D4—832no—
1401C4×D4—832no—
1402C4×D4—832no—
1403C4×D4—834no—
1404C4×D4—834no—
1405C4×D4—838no—
1406C4×D4—838no—
1407C4×D4—838no—
1408C4×D4—838no—
1409C4×D4—832no—
1410C4×D4—832no—
1411C4×D4—832no—
1412C4×D4—832no—
1413C4×D4—831no—
1414C4×D4—831no—
1415C4×D4—838no—
1416C4×D4—834no—
1417C4×D4—838no—
1418C4×D4—834no—
1419C4×D4—832no—
1420C4×D4—832no—
1421C4×D4—832no—
1422C4×D4—832no—
1423C4×D4—832no—
1424C4×D4—832no—
1425C4×D4—834no—
1426C4×D4—834no—
1427C4×D4—838no—
1428C4×D4—838no—
1429C4×D4—838no—
1430C4×D4—838no—
1431C4×D4—838no—
1432C4×D4—838no—
1433C4×D4—832no—
1434C4×D4—832no—
1435C4×D4—831no—
1436C4×D4—831no—
1437C4×D4—832no—
1438C4×D4—832no—
1439C4×D4—838no—
1440C4×D4—834no—
1441C4×D4—838no—
1442C4×D4—834no—
1443C4×D4C22×D8311yescharacteristic
1444C4×D4C22×D8311yescharacteristic
1445C4×D4C22×D8312yes—
1446C4×D4C22×D8312yes—
1447C4×D4C22×D8312yes—
1448C4×D4C22×D8312yes—
1449C4×D4C22×D8314yes—
1450C4×D4C22×D8318yes—
1451C4×D4C22×D8314yes—
1452#117—831no—
1453#117—832no—
1454#117—834no—
1455#117—834no—
1456#117—838no—
1457#117—831no—
1458#117—831no—
1459#117—834no—
1460#117—834no—
1461#117—832no—
1462#117—832no—
1463#117—838no—
1464#117—834no—
1465#117—838no—
1466#117—834no—
1467#117—834no—
1468#117—834no—
1469#117—834no—
1470#117—834no—
1471#117—838no—
1472#117—832no—
1473#117—832no—
1474#117—832no—
1475#117—838no—
1476#117—838no—
1477#117—832no—
1478#117—832no—
1479#117—832no—
1480#117—838no—
1481#117—838no—
1482#117C22×D8311yescharacteristic
1483#117C22×D8312yes—
1484#117C22×D8314yes—
1485#117C22×D8314yes—
1486C2×C4⋊C4—832no—
1487C2×C4⋊C4—834no—
1488C2×C4⋊C4—834no—
1489C2×C4⋊C4—834no—
1490C2×C4⋊C4—832no—
1491C2×C4⋊C4—831no—
1492C2×C4⋊C4—831no—
1493C2×C4⋊C4—832no—
1494C2×C4⋊C4—832no—
1495C2×C4⋊C4—834no—
1496C2×C4⋊C4—834no—
1497C2×C4⋊C4—832no—
1498C2×C4⋊C4—832no—
1499C2×C4⋊C4C22×D8312yes—
1500C2×C4⋊C4C22×D8314yes—
1501C2×C4⋊C4C22×D8312yes—
1502C2×C22⋊C4—834no—
1503C2×C22⋊C4—838no—
1504C2×C22⋊C4—832no—
1505C2×C22⋊C4—832no—
1506C2×C22⋊C4—832no—
1507C2×C22⋊C4—838no—
1508C2×C22⋊C4—834no—
1509C2×C22⋊C4—834no—
1510C2×C42—834no—
1511C2×C42—838no—
1512C2×C42—831no—
1513C2×C42—831no—
1514C2×C42—832no—
1515C2×C42—832no—
1516C2×C42—831no—
1517C2×C42—832no—
1518C2×C42—832no—
1519C2×C42—831no—
1520C2×C42—838no—
1521C2×C42—831no—
1522C2×C42—831no—
1523C2×C42—832no—
1524C2×C42—832no—
1525C2×C42—831no—
1526C2×C42—831no—
1527C2×C42—832no—
1528C2×C42—832no—
1529C2×C42—831no—
1530C2×C42—832no—
1531C2×C42—831no—
1532C2×C42—832no—
1533C2×C42—831no—
1534C2×C42C22×D8311yescharacteristic
1535C2×C42C22×D8312yes—
1536C24—831no—
1537C24—834no—
1538C24—832no—
1539#41—24no—
1540#41—28no—
1541#41—48no—
1542#41—3328no—
1543#41—3328no—
1544#41—3328no—
1545#41—1668no—
1546#41—16616no—
1547#41—1668no—
1548#41—16616no—
1549#41—1664no—
1550#41—1668no—
1551#41—1664no—
1552#41—1668no—
1553#41—1664no—
1554#41—1668no—
1555C2×Q8—44no—
1556C2×Q8—3324no—
1557C2×Q8—834no—
1558C2×Q8—831no—
1559C2×Q8—832no—
1560C2×Q8—834no—
1561C2×Q8—832no—
1562C2×Q8—834no—
1563C2×Q8—1668no—
1564C2×Q8—1664no—
1565C2×Q8C23×D8314yes—
1566C2×Q8C23×D8311yescharacteristic
1567C2×Q8C23×D8312yes—
1568C2×Q8C23×D8314yes—
1569C2×D4—3324no—
1570C2×D4—3324no—
1571C2×D4—838no—
1572C2×D4—838no—
1573C2×D4—834no—
1574C2×D4—834no—
1575C2×D4—832no—
1576C2×D4—834no—
1577C2×D4—832no—
1578C2×D4—834no—
1579C2×D4—832no—
1580C2×D4—834no—
1581C2×D4—838no—
1582C2×D4—832no—
1583C2×D4—834no—
1584C2×D4—831no—
1585C2×D4—832no—
1586C2×D4—832no—
1587C2×D4—832no—
1588C2×D4—1668no—
1589C2×D4—1664no—
1590C2×D4—1668no—
1591C2×D4—16616no—
1592C2×D4C23×D8312yes—
1593C2×D4C23×D8312yes—
1594C2×D4C23×D8314yes—
1595C2×D4C23×D8311yescharacteristic
1596C2×D4C23×D8312yes—
1597C2×D4C23×D8312yes—
1598C2×D4C23×D8318yes—
1599C22×C4—3322no—
1600C22×C4—3324no—
1601C22×C4—3322no—
1602C22×C4—3324no—
1603C22×C4—831no—
1604C22×C4—831no—
1605C22×C4—832no—
1606C22×C4—832no—
1607C22×C4—834no—
1608C22×C4—838no—
1609C22×C4—831no—
1610C22×C4—831no—
1611C22×C4—832no—
1612C22×C4—832no—
1613C22×C4—831no—
1614C22×C4—831no—
1615C22×C4—832no—
1616C22×C4—832no—
1617C22×C4—838no—
1618C22×C4—838no—
1619C22×C4—831no—
1620C22×C4—838no—
1621C22×C4—831no—
1622C22×C4—831no—
1623C22×C4—831no—
1624C22×C4—831no—
1625C22×C4—834no—
1626C22×C4—832no—
1627C22×C4—831no—
1628C22×C4—831no—
1629C22×C4—831no—
1630C22×C4—831no—
1631C22×C4—832no—
1632C22×C4—834no—
1633C22×C4—832no—
1634C22×C4—832no—
1635C22×C4—832no—
1636C22×C4—832no—
1637C22×C4—834no—
1638C22×C4—834no—
1639C22×C4—16616no—
1640C22×C4—1668no—
1641C22×C4C23×D8311yescharacteristic
1642C22×C4C23×D8311yescharacteristic
1643C22×C4C23×D8312yes—
1644C22×C4C23×D8312yes—
1645C22×C4C23×D8312yes—
1646C22×C4C23×D8314yes—
1647C22×C4C23×D8314yes—
1648C22×C4C23×D8318yes—
1649C22×C4C23×D8311yescharacteristic
1650C4⋊C4—831no—
1651C4⋊C4—831no—
1652C4⋊C4—834no—
1653C4⋊C4—832no—
1654C4⋊C4—832no—
1655C4⋊C4—834no—
1656C4⋊C4—834no—
1657C4⋊C4—832no—
1658C4⋊C4—832no—
1659C4⋊C4—832no—
1660C4⋊C4—832no—
1661C4⋊C4—838no—
1662C4⋊C4—838no—
1663C4⋊C4—838no—
1664C4⋊C4—838no—
1665C4⋊C4—838no—
1666C4⋊C4—832no—
1667C4⋊C4—832no—
1668C4⋊C4—832no—
1669C4⋊C4—832no—
1670C4⋊C4—834no—
1671C4⋊C4—834no—
1672C4⋊C4—838no—
1673C4⋊C4—838no—
1674C4⋊C4—834no—
1675C4⋊C4—838no—
1676C4⋊C4—838no—
1677C4⋊C4—838no—
1678C4⋊C4C23×D8311yescharacteristic
1679C4⋊C4C23×D8311yescharacteristic
1680C4⋊C4C23×D8314yes—
1681C4⋊C4C23×D8312yes—
1682C4⋊C4C23×D8312yes—
1683C4⋊C4C23×D8312yes—
1684C4⋊C4C23×D8312yes—
1685C4⋊C4C23×D8314yes—
1686C4⋊C4C23×D8318yes—
1687C4⋊C4C23×D8314yes—
1688C4⋊C4C23×D8314yes—
1689C4⋊C4C23×D8318yes—
1690C22⋊C4—832no—
1691C22⋊C4—832no—
1692C22⋊C4—832no—
1693C22⋊C4—838no—
1694C22⋊C4—834no—
1695C22⋊C4—834no—
1696C22⋊C4—838no—
1697C22⋊C4—838no—
1698C22⋊C4—832no—
1699C22⋊C4—832no—
1700C22⋊C4—838no—
1701C22⋊C4—838no—
1702C22⋊C4—832no—
1703C22⋊C4—832no—
1704C22⋊C4—838no—
1705C22⋊C4—834no—
1706C22⋊C4—834no—
1707C22⋊C4—838no—
1708C22⋊C4—832no—
1709C22⋊C4—832no—
1710C22⋊C4—834no—
1711C22⋊C4—834no—
1712C22⋊C4—838no—
1713C22⋊C4—838no—
1714C22⋊C4—838no—
1715C22⋊C4—838no—
1716C22⋊C4C23×D8312yes—
1717C22⋊C4C23×D8318yes—
1718C22⋊C4C23×D8312yes—
1719C22⋊C4C23×D8312yes—
1720C22⋊C4C23×D8314yes—
1721C22⋊C4C23×D8314yes—
1722C22⋊C4C23×D8318yes—
1723C22⋊C4C23×D8318yes—
1724C42—832no—
1725C42—832no—
1726C42—831no—
1727C42—831no—
1728C42—831no—
1729C42—838no—
1730C42—831no—
1731C42—831no—
1732C42—832no—
1733C42—832no—
1734C42—832no—
1735C42—832no—
1736C42—832no—
1737C42—831no—
1738C42—831no—
1739C42—831no—
1740C42—832no—
1741C42—832no—
1742C42—831no—
1743C42—831no—
1744C42—831no—
1745C42—831no—
1746C42—838no—
1747C42—838no—
1748C42—838no—
1749C42—838no—
1750C42C23×D8311yescharacteristic
1751C42C23×D8312yes—
1752C42C23×D8311yescharacteristic
1753C42C23×D8311yescharacteristic
1754C42C23×D8311yescharacteristic
1755C42C23×D8312yes—
1756C42C23×D8312yes—
1757C42C23×D8318yes—
1758C23—3321no—
1759C23—3321no—
1760C23—3322no—
1761C23—3322no—
1762C23—3324no—
1763C23—3324no—
1764C23—834no—
1765C23—831no—
1766C23—831no—
1767C23—834no—
1768C23—832no—
1769C23—1664no—
1770C23—1668no—
1771C23C24×D8312yes—
1772C23C24×D8314yes—
1773C23C24×D8311yescharacteristic
1774Q8—22no—
1775Q8—24no—
1776Q8—28no—
1777Q8—44no—
1778Q8—3324no—
1779Q8—1664no—
1780Q8—1668no—
1781Q8—1662no—
1782Q8—1664no—
1783Q8—1668no—
1784D4—24no—
1785D4—28no—
1786D4—22no—
1787D4—24no—
1788D4—24no—
1789D4—24no—
1790D4—48no—
1791D4—3328no—
1792D4—3324no—
1793D4—3324no—
1794D4—3328no—
1795D4—3328no—
1796D4—1664no—
1797D4—1668no—
1798D4—1664no—
1799D4—1668no—
1800D4—1664no—
1801D4—1668no—
1802D4—1664no—
1803D4—1668no—
1804D4—1662no—
1805D4—1664no—
1806D4—1664no—
1807D4—1664no—
1808C2×C4—28no—
1809C2×C4—24no—
1810C2×C4—22no—
1811C2×C4—24no—
1812C2×C4—22no—
1813C2×C4—24no—
1814C2×C4—44no—
1815C2×C4—48no—
1816C2×C4—3322no—
1817C2×C4—3322no—
1818C2×C4—3321no—
1819C2×C4—3321no—
1820C2×C4—3322no—
1821C2×C4—3322no—
1822C2×C4—3321no—
1823C2×C4—3321no—
1824C2×C4—3328no—
1825C2×C4—3328no—
1826C2×C4—3322no—
1827C2×C4—3321no—
1828C2×C4—3322no—
1829C2×C4—3321no—
1830C2×C4—3324no—
1831C2×C4—3328no—
1832C2×C4—834no—
1833C2×C4—831no—
1834C2×C4—831no—
1835C2×C4—834no—
1836C2×C4—834no—
1837C2×C4—834no—
1838C2×C4—834no—
1839C2×C4—832no—
1840C2×C4—831no—
1841C2×C4—832no—
1842C2×C4—831no—
1843C2×C4—832no—
1844C2×C4—834no—
1845C2×C4—838no—
1846C2×C4—831no—
1847C2×C4—831no—
1848C2×C4—1664no—
1849C2×C4—1668no—
1850C2×C4—1668no—
1851C2×C4—1664no—
1852C2×C4—1664no—
1853C2×C4—1668no—
1854C2×C4—1668no—
1855C2×C4—1664no—
1856C2×C4—1662no—
1857C2×C4—1662no—
1858C2×C4—1664no—
1859C2×C4—1662no—
1860C2×C4—1662no—
1861C2×C4—1664no—
1862C2×C4#41×D8314yes—
1863C2×C4C24×D8312yes—
1864C2×C4C24×D8318yes—
1865C2×C4C24×D8312yes—
1866C2×C4C24×D8311yescharacteristic
1867C2×C4C24×D8311yescharacteristic
1868C2×C4C24×D8312yes—
1869C2×C4C24×D8314yes—
1870C2×C4C24×D8311yescharacteristic
1871C2×C4C24×D8311yescharacteristic
1872C2×C4C24×D8311yescharacteristic
1873C2×C4C24×D8311yescharacteristic
1874C22—21no—
1875C22—21no—
1876C22—22no—
1877C22—24no—
1878C22—22no—
1879C22—24no—
1880C22—22no—
1881C22—24no—
1882C22—3324no—
1883C22—3328no—
1884C22—832no—
1885C22—832no—
1886C22—6648no—
1887C22—1662no—
1888C22—1664no—
1889C22—1664no—
1890C22—1662no—
1891C22—1664no—
1892C22—1662no—
1893C22—1661no—
1894C22—1661no—
1895C22—1661no—
1896C22—1661no—
1897C22C2×#41×D8312yes—
1898C22C25×D8311yescharacteristic
1899C4—24no—
1900C4—22no—
1901C4—22no—
1902C4—21no—
1903C4—28no—
1904C4—22no—
1905C4—21no—
1906C4—832no—
1907C4—832no—
1908C4—1662no—
1909C4—1664no—
1910C4—1661no—
1911C4—1662no—
1912C4—1661no—
1913C4—1661no—
1914C4—1662no—
1915C4—1668no—
1916C4—1661no—
1917C4C2×#41×D8312yes—
1918C4C2×#41×D8312yes—
1919C4#1912853612yes—
1920C4#1912853812yes—
1921C2—22no—
1922C2—42no—
1923C2—44no—
1924C2—3322no—
1925C2—3324no—
1926C2—1662no—
1927C2—1662no—
1928C2C22×#41×D8311yescharacteristic
1929C2C2×#1912853611yescharacteristic
1930C2C2×#1912853811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D83
commutator, socle, cosocleC22×C83C26
FittingC83×#3511C2
hypercenter#3511D83
hypocenterC83#62815
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C22 ◁ #3511

Complements

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

NH ≅ G/Ntype
1. #24921384C2semidirect
2. #24921380C2semidirect
3. #24921376C2semidirect
4. #24921374C2semidirect
5. #24921370C2semidirect
6. #24921355C2semidirect
7. #24921342C2semidirect
8. #24921332C2semidirect
9. #24921326C2semidirect
10. #24921318C2semidirect
11. #24921313C2semidirect
12. #24921305C2semidirect
13. #24921299C2semidirect
14. #24921292C2semidirect
15. #24921057C2semidirect
16. #24921053C2semidirect
17. #24921029C2semidirect
18. #24921026C2semidirect
19. #24921024C2semidirect
20. #24921020C2semidirect
21. #24920850C2semidirect
22. #24920791C2semidirect
23. #24920760C2semidirect
24. #24920758C2semidirect
25. C2×#19128256C2semidirect
26. #532×D83C2semidirect
27. #24920663C2semidirect
28. C4×#41×D83C2semidirect
29. C83×#3511C2semidirect
32. #19128435C22semidirect
33. #19128434C22semidirect
34. #19128433C22semidirect
35. #19128433C22semidirect
36. #19128428C22semidirect
37. #19128427C22semidirect
38. #19128425C22semidirect
39. #19128424C22semidirect
40. #19128422C22semidirect
41. #19128422C22semidirect
42. #19128421C22semidirect
43. #19128419C22semidirect
44. #19128418C22semidirect
45. #19128417C22semidirect
46. #19128416C22semidirect
47. #19128416C22semidirect
48. #19128412C22semidirect
49. #19128411C22semidirect
50. #19128408C22semidirect
51. #19128403C22semidirect
52. #19128403C22semidirect
53. #19128403C22semidirect
54. #19128400C22semidirect
55. #19128399C22semidirect
56. #19128399C22semidirect
57. #19128398C22semidirect
58. #19128397C22semidirect
59. #19128397C22semidirect
60. #19128395C22semidirect
61. #19128394C22semidirect
62. #19128393C22semidirect
63. #19128392C22semidirect
64. #19128390C22semidirect
65. #19128390C22semidirect
66. #19128389C22semidirect
67. #19128386C22semidirect
68. #19128385C22semidirect
69. #19128385C22semidirect
70. #19128381C22semidirect
71. #19128378C22semidirect
72. #19128376C22semidirect
73. #19128374C22semidirect
74. #19128370C22semidirect
75. #19128369C22semidirect
76. #19128362C22semidirect
77. #19128360C22semidirect
78. #19128357C22semidirect
79. #19128356C22semidirect
80. #19128355C22semidirect
81. #19128354C22semidirect
82. #19128348C22semidirect
83. #19128346C22semidirect
84. #19128344C22semidirect
85. #19128339C22semidirect
86. #19128325C22semidirect
87. #19128322C22semidirect
88. #19128320C22semidirect
89. #19128311C22semidirect
90. #19128309C22semidirect
91. #19128304C22semidirect
92. #19128302C22semidirect
93. #19128297C22semidirect
94. #19128292C22semidirect
95. #19128287C22semidirect
96. #19128285C22semidirect
97. #19128282C22semidirect
98. #19128279C22semidirect
99. #19128279C22semidirect
101. #19128274C22semidirect
103. #19128267C22semidirect
105. #19128258C22semidirect
106. #19128256C22semidirect
107. #19128256C22semidirect
108. #19128256C22semidirect
109. #19128256C22semidirect
110. #19128256C22semidirect
111. #19128256C22semidirect
112. #19128256C22semidirect
113. #19128256C22semidirect
114. #19128256C22semidirect
115. #19128256C22semidirect
117. #19128252C22semidirect
118. #19128251C22semidirect
119. #19128251C22semidirect
122. #19128249C22semidirect
125. #19128247C22semidirect
126. #19128246C22semidirect
127. #19128246C22semidirect
128. #19128246C22semidirect
129. C2×#14581792C22semidirect
130. C4⋊Q8×D83C22semidirect
131. #127×D83C22semidirect
132. #19128238C22semidirect
133. #19128238C22semidirect
134. #19128237C22semidirect
135. #19128237C22semidirect
136. #19128237C22semidirect
137. #19128236C22semidirect
138. #19128236C22semidirect
139. #19128234C22semidirect
140. #19128233C22semidirect
141. #19128233C22semidirect
142. #19128232C22semidirect
143. #19128232C22semidirect
144. #19128230C22semidirect
145. #19128230C22semidirect
146. #19128230C22semidirect
147. #19128228C22semidirect
148. C2×#14581783C22semidirect
149. #124×D83C22semidirect
151. #19128214C22semidirect
152. #19128214C22semidirect
153. #19128213C22semidirect
155. #19128211C22semidirect
156. #19128211C22semidirect
157. #19128208C22semidirect
162. #19128184C22semidirect
163. #19128182C22semidirect
164. #19128182C22semidirect
165. #19128181C22semidirect
166. #19128181C22semidirect
167. #19128177C22semidirect
169. #19128173C22semidirect
170. #41×Dic83C22semidirect
171. #41×Dic83C22semidirect
174. C4×#13050591C22semidirect
175. C4×#13050591C22semidirect
177. C4×#13050590C22semidirect
179. #19128169C22semidirect
180. #19128169C22semidirect
183. C4×#13050589C22semidirect
184. C4×#13050589C22semidirect
185. C4×#13050589C22semidirect
186. C4×#13050589C22semidirect
187. C4×#13050589C22semidirect
188. C2×Q8×Dic83C22semidirect
189. C2×#14581757C22semidirect
190. C4×Q8×D83C22semidirect
191. C4×Q8×D83C22semidirect
194. C4×D4×D83C22semidirect
195. C4×D4×D83C22semidirect
196. C4×D4×D83C22semidirect
197. C4×D4×D83C22semidirect
199. C2×#14581750C22semidirect
201. #117×D83C22semidirect
202. #117×D83C22semidirect
204. C2×C42×D83C22semidirect
205. #556×C83C22semidirect
206. #555×C83C22semidirect
207. #554×C83C22semidirect
208. #553×C83C22semidirect
209. #548×C83C22semidirect
210. #547×C83C22semidirect
211. #542×C83C22semidirect
212. #537×C83C22semidirect
213. #533×C83C22semidirect
214. #532×C83C22semidirect
215. #532×C83C22semidirect
216. C2×C4⋊Q8×C83C22semidirect
217. #520×C83C22semidirect
218. C4×#41×C83C22semidirect
633. C2×C4×D83#41semidirect
971. #3511D83semidirect
995. C83#62815semidirect
1011. #556C2×D83semidirect
1015. #555C2×D83semidirect
1019. #554C2×D83semidirect
1031. #553C2×D83semidirect
1049. #548C2×D83semidirect
1053. #547C2×D83semidirect
1061. #542C2×D83semidirect
1073. #537C2×D83semidirect
1090. #533C2×D83semidirect
1104. #532C2×D83semidirect
1105. #532C2×D83semidirect
1108. C2×C4⋊Q8C2×D83semidirect
1145. #520C2×D83semidirect
1167. C4×#41C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249213842
#249213802
#249213762
#249213742
#249213702
#249213552
#249213422
#249213322
#249213262
#249213182
#249213132
#249213052
#249212992
#249212922
#249210572
#249210532
#249210292
#249210262
#249210242
#249210202
#249208502
#249207912
#249207602
#249207582
C2×#191282562
#532×D832
#249206632
C4×#41×D832
C83×#35112
#6281583