Finite Group Databasebeta

← #36312861

Subgroups — #36312861

Order 21248.

7104 conjugacy classes of subgroups.

The subgroup lattice has 2606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921555C212yesmaximal, complemented
2#24921510C212yesmaximal, complemented
3#24921504C214yesmaximal, complemented
4#24921476C212yesmaximal, complemented
5#24921439C212yesmaximal, complemented
6#24921433C214yesmaximal, complemented
7#24921372C211yesmaximal, characteristic, complemented
8#24921368C212yesmaximal, complemented
9#24921348C211yesmaximal, characteristic, complemented
10#24921345C212yesmaximal, complemented
11#24921278C211yesmaximal, characteristic, complemented
12#24921245C211yesmaximal, characteristic, complemented
13#24921218C211yesmaximal, characteristic, complemented
14#24921213C212yesmaximal, complemented
15#24921212C211yesmaximal, characteristic, complemented
16#24921207C212yesmaximal, complemented
17#24921141C211yesmaximal, characteristic, complemented
18#24921138C211yesmaximal, characteristic, complemented
19#24921081C212yesmaximal, complemented
20#24921076C214yesmaximal, complemented
21#24921076C212yesmaximal, complemented
22#24921041C212yesmaximal, complemented
23#24921019C212yesmaximal, complemented
24#24921015C214yesmaximal, complemented
25#24920894C212yesmaximal, complemented
26#24920890C211yesmaximal, characteristic, complemented
27#24920888C212yesmaximal, complemented
28#24920757C212yesmaximal, complemented
29#24920756C211yesmaximal, characteristic, complemented
30C2×#19128255C211yesmaximal, characteristic, complemented
31#533×D83C212yesmaximal, complemented
32C4×#14581840C211yesmaximal, characteristic, complemented
33C4×#14581839C211yesmaximal, characteristic, complemented
34C4×#41×D83C211yesmaximal, characteristic, complemented
35C83×#3461C211yesmaximal, characteristic, complemented
36C2×#14581840C2211yescharacteristic
37C2×#14581839C2211yescharacteristic
38C2×#41×D83C2211yescharacteristic
39#19128431C2212yescomplemented
40#19128428C2214yescomplemented
41#19128428C2214yescomplemented
42#19128428C2212yescomplemented
43#19128426C2212yescomplemented
44#19128426C2212yescomplemented
45#19128425C2212yescomplemented
46#19128422C2212yescomplemented
47#19128422C2212yescomplemented
48#19128420C2212yescomplemented
49#19128420C2212yescomplemented
50#19128420C2214yescomplemented
51#19128418C2214yescomplemented
52#19128418C2214yescomplemented
53#19128418C2214yescomplemented
54#19128418C2214yescomplemented
55#19128415C2212yescomplemented
56#19128413C2214yescomplemented
57#19128412C2212yes—
58#19128409C2212yes—
59#19128409C2212yescomplemented
60#19128407C2214yes—
61#19128407C2212yescomplemented
62#19128405C2214yes—
63#19128405C2214yescomplemented
64#19128405C2214yescomplemented
65#19128402C2214yescomplemented
66#19128396C2214yescomplemented
67#19128394C2214yescomplemented
68#19128393C2214yescomplemented
69#19128393C2212yescomplemented
70#19128389C2212yes—
71#19128389C2214yescomplemented
72#19128389C2212yescomplemented
73#19128388C2214yescomplemented
74#19128388C2214yescomplemented
75#19128388C2214yescomplemented
76#19128388C2214yescomplemented
77#19128387C2214yes—
78#19128387C2214yescomplemented
79#19128387C2214yescomplemented
80#19128387C2214yescomplemented
81#19128387C2214yescomplemented
82#19128385C2212yes—
83#19128385C2214yescomplemented
84#19128383C2214yes—
85#19128383C2214yescomplemented
86#19128383C2214yescomplemented
87#19128383C2214yescomplemented
88#19128381C2214yes—
89#19128379C2214yes—
90#19128378C2214yes—
91#19128376C2214yes—
92#19128376C2214yes—
93#19128374C2214yes—
94#19128366C2212yes—
95#19128366C2212yescomplemented
96#19128364C2212yes—
97#19128364C2212yescomplemented
98#19128364C2212yescomplemented
99#19128364C2214yescomplemented
100#19128361C2214yescomplemented
101#19128359C2212yes—
102#19128359C2214yescomplemented
103#19128357C2212yes—
104#19128357C2214yescomplemented
105#19128354C2212yes—
106#19128353C2212yes—
107#19128353C2212yescomplemented
108#19128353C2212yescomplemented
109#19128351C2214yes—
110#19128351C2212yescomplemented
111#19128349C2214yes—
112#19128349C2214yescomplemented
113#19128349C2214yescomplemented
114#19128349C2214yescomplemented
115#19128348C2212yes—
116#19128344C2212yes—
117#19128343C2214yes—
118#19128340C2214yes—
119#19128331C2212yescomplemented
120#19128329C2211yescharacteristic, complemented
121#19128328C2212yescomplemented
122#19128325C2212yescomplemented
123#19128324C2212yescomplemented
124#19128322C2212yescomplemented
125#19128321C2214yescomplemented
126#19128320C2212yescomplemented
127#19128319C2214yescomplemented
128#19128318C2212yescomplemented
129#19128316C2212yescomplemented
130#19128314C2212yescomplemented
131#19128313C2212yescomplemented
132#19128312C2212yescomplemented
133#19128311C2212yescomplemented
134#19128311C2212yescomplemented
135#19128310C2214yescomplemented
136#19128309C2212yescomplemented
137#19128308C2214yescomplemented
138#19128299C2214yescomplemented
139#19128297C2214yescomplemented
140#19128294C2214yescomplemented
141#19128293C2214yescomplemented
142#19128292C2214yescomplemented
143#19128281C2212yes—
144#19128280C2212yes—
145#19128279C2211yescharacteristic
146#19128277C2211yescharacteristic, complemented
147#19128276C2212yescomplemented
148#19128274C2212yes—
149#19128274C2212yes—
150#19128272C2211yescharacteristic
151#19128271C2212yescomplemented
152#19128258C2212yescomplemented
153#19128257C2214yes—
154#19128257C2212yescomplemented
155#19128256C2212yes—
156#19128256C2212yes—
157#19128255C2212yes—
158#19128255C2212yes—
159#19128255C2211yescharacteristic
160#19128255C2212yes—
161#19128255C2214yes—
162#19128255C2212yes—
163#19128255C2211yescharacteristic, complemented
164#19128255C2212yescomplemented
165#19128255C2212yescomplemented
166#19128255C2212yescomplemented
167#19128255C2214yescomplemented
168#19128255C2212yescomplemented
169#19128255C2212yescomplemented
170#19128254C2211yescharacteristic, complemented
171#19128254C2214yescomplemented
172#19128254C2214yescomplemented
173#19128253C2212yescomplemented
174#19128253C2212yescomplemented
175#19128253C2212yescomplemented
176#19128253C2214yescomplemented
177#19128250C2212yescomplemented
178#19128248C2211yescharacteristic
179#19128248C2211yescharacteristic, complemented
180#19128247C2211yescharacteristic, complemented
181#19128246C2212yescomplemented
182C2×#14581791C2211yescharacteristic, complemented
183C2×#14581790C2211yescharacteristic, complemented
184C4⋊Q8×D83C2212yescomplemented
185C4⋊Q8×D83C2212yescomplemented
186#19128238C2211yescharacteristic
187#19128238C2211yescharacteristic, complemented
188#19128238C2214yescomplemented
189#19128236C2212yes—
190#19128235C2212yescomplemented
191#19128234C2214yes—
192#19128234C2214yescomplemented
193#19128233C2211yescharacteristic
194#19128233C2211yescharacteristic, complemented
195#19128233C2214yescomplemented
196#19128233C2212yescomplemented
197#19128231C2214yescomplemented
198#19128231C2214yescomplemented
199#19128231C2212yescomplemented
200#19128231C2212yescomplemented
201#19128230C2212yes—
202#19128229C2212yes—
203#19128229C2214yescomplemented
204#19128229C2214yescomplemented
205#19128229C2214yescomplemented
206#19128229C2212yescomplemented
207#19128229C2214yescomplemented
208#19128228C2214yescomplemented
209C2×#14581782C2212yescomplemented
210#125×D83C2214yescomplemented
211#19128214C2212yes—
212#19128213C2211yescharacteristic
213#19128211C2212yes—
214#19128210C2212yes—
215#19128210C2212yes—
216#19128210C2214yes—
217#19128209C2214yes—
218#19128208C2211yescharacteristic
219C2×#14581772C2211yescharacteristic
220C2×#14581770C2212yes—
221C2×#14581768C2211yescharacteristic
222C22⋊Q8×D83C2212yes—
223C22⋊Q8×D83C2212yes—
224C22⋊Q8×D83C2214yes—
225#19128184C2211yescharacteristic, complemented
226#19128183C2212yescomplemented
227#19128183C2212yescomplemented
228#19128182C2211yescharacteristic
229#19128182C2211yescharacteristic, complemented
230#19128182C2214yescomplemented
231#19128181C2211yescharacteristic
232#19128181C2212yescomplemented
233#19128180C2212yescomplemented
234#19128180C2214yescomplemented
235#19128179C2211yescharacteristic, complemented
236#19128178C2211yescharacteristic, complemented
237#19128178C2212yescomplemented
238#19128177C2212yescomplemented
239#19128177C2212yescomplemented
240#19128177C2212yescomplemented
241#41×Dic83C2211yescharacteristic
242C4×#13050591C2211yescharacteristic
243C4×#13050591C2211yescharacteristic
244C4×#13050591C2212yescomplemented
245C4×#13050591C2212yescomplemented
246C4×#13050590C2212yes—
247C4×#13050590C2211yescharacteristic
248C4×#13050590C2212yes—
249C4×#13050590C2211yescharacteristic, complemented
250C4×#13050590C2212yescomplemented
251C4×#13050590C2214yescomplemented
252C4×#13050590C2212yescomplemented
253#19128169C2212yes—
254#19128169C2211yescharacteristic
255#19128169C2214yes—
256C4×#13050589C2212yes—
257C4×#13050589C2211yescharacteristic
258C4×#13050589C2212yes—
259C4×#13050589C2211yescharacteristic
260C4×#13050589C2212yescomplemented
261C4×#13050589C2214yescomplemented
262C4×#13050589C2214yescomplemented
263C2×C4×Dic166C2211yescharacteristic, complemented
264C2×C4×Dic166C2212yescomplemented
265C2×C4×Dic166C2212yescomplemented
266C4×Q8×D83C2211yescharacteristic
267C4×Q8×D83C2211yescharacteristic
268C4×Q8×D83C2212yescomplemented
269C4×Q8×D83C2212yescomplemented
270C4×Q8×D83C2212yescomplemented
271C4×Q8×D83C2214yescomplemented
272C4×D4×D83C2212yes—
273C4×D4×D83C2211yescharacteristic
274C4×D4×D83C2212yes—
275C4×D4×D83C2211yescharacteristic
276C2×#14581749C2212yes—
277#117×D83C2212yes—
278#117×D83C2211yescharacteristic
279#117×D83C2214yes—
280C2×C42×D83C2212yes—
281C2×C42×D83C2211yescharacteristic
282#544×C83C2211yescharacteristic, complemented
283#542×C83C2212yescomplemented
284#542×C83C2212yescomplemented
285#541×C83C2212yescomplemented
286#541×C83C2212yescomplemented
287#539×C83C2214yescomplemented
288#537×C83C2211yescharacteristic
289#536×C83C2211yescharacteristic
290#536×C83C2211yescharacteristic, complemented
291#533×C83C2212yescomplemented
292#533×C83C2212yescomplemented
293#529×C83C2212yescomplemented
294#529×C83C2214yescomplemented
295#529×C83C2212yescomplemented
296C4×#41×C83C2211yescharacteristic
297C4×#41×C83C2211yescharacteristic, complemented
298C2×C4×Q8×C83C2211yescharacteristic, complemented
299#14581840—28no—
300#14581839—28no—
301C2×#13050591C2312yes—
302C2×#13050591C2311yescharacteristic
303C2×#13050591C2312yes—
304C2×#13050590C2314yes—
305C2×#13050590C2312yes—
306C2×#13050590C2312yes—
307C2×#13050590C2312yes—
308C2×#13050590C2311yescharacteristic
309C2×#13050590C2312yes—
310C2×#13050590C2311yescharacteristic
311C2×#13050589C2314yes—
312C2×#13050589C2312yes—
313C2×#13050589C2311yescharacteristic
314C2×#13050589C2312yes—
315C2×#13050589C2314yes—
316#41×D83—28no—
317C22×Dic166C2312yes—
318C22×Dic166C2311yescharacteristic
319C22×Dic166C2312yes—
320C2×Q8×D83C2312yes—
321C2×Q8×D83C2311yescharacteristic
322C2×Q8×D83C2312yes—
323C2×Q8×D83C2312yes—
324C2×Q8×D83C2314yes—
325C2×D4×D83C2312yes—
326C2×D4×D83C2311yescharacteristic
327C22×C4×D83C2312yes—
328C22×C4×D83C2312yes—
329C22×C4×D83C2311yescharacteristic
330C22×C4×D83C2311yescharacteristic
331C22×C4×D83C2312yes—
332C22×C4×D83C2311yescharacteristic
333#14581792C2312yes—
334#14581792C2312yes—
335#14581791C2312yes—
336#14581791C2312yes—
337#14581791C2314yes—
338#14581791C2314yes—
339#14581791C2314yes—
340#14581791C2314yes—
341#14581791C2314yes—
342#14581791C2314yes—
343#14581791C2312yes—
344#14581791C2312yes—
345#14581791C2311yescharacteristic
346#14581791C2312yes—
347#14581791C2311yescharacteristic
348#14581790C2314yes—
349#14581790C2312yes—
350#14581790C2312yes—
351#14581790C2312yes—
352#14581790C2314yes—
353#14581790C2311yescharacteristic
354#14581790C2312yes—
355#14581790C2312yes—
356#14581788C2311yescharacteristic
357#14581787C2314yes—
358#14581787C2314yes—
359#14581787C2314yes—
360#14581787C2314yes—
361#14581787C2314yes—
362#14581787C2314yes—
363#14581787C2314yes—
364#14581787C2314yes—
365#14581787C2312yes—
366#14581787C2312yes—
367#14581786C2314yes—
368#14581785C2314yes—
369#14581785C2314yes—
370#14581785C2314yes—
371#14581785C2314yes—
372#14581785C2314yes—
373#14581785C2314yes—
374#14581785C2314yes—
375#14581785C2314yes—
376#14581785C2314yes—
377#14581785C2312yes—
378#14581785C2312yes—
379#14581784C2312yes—
380#14581784C2314yes—
381#14581783C2311yescharacteristic
382#14581783C2312yes—
383#14581783C2311yescharacteristic
384#14581783C2314yes—
385#14581783C2314yes—
386#14581783C2314yes—
387#14581783C2314yes—
388#14581783C2314yes—
389#14581783C2314yes—
390#14581782C2314yes—
391#14581782C2314yes—
392#14581782C2314yes—
393#14581782C2314yes—
394#14581782C2314yes—
395#14581782C2314yes—
396#14581782C2314yes—
397#14581782C2314yes—
398#14581782C2314yes—
399#14581782C2312yes—
400#14581782C2314yes—
401#14581782C2314yes—
402#14581782C2314yes—
403#14581782C2314yes—
404#14581782C2312yes—
405#14581782C2314yes—
406#14581782C2314yes—
407#14581781C2314yes—
408#14581781C2311yescharacteristic
409#14581780C2312yes—
410#14581779C2312yes—
411#14581779C2314yes—
412#14581779C2311yescharacteristic
413#14581778C2314yes—
414#14581778C2314yes—
415#14581778C2314yes—
416#14581778C2314yes—
417#14581778C2314yes—
418#14581778C2314yes—
419#14581778C2312yes—
420#14581778C2312yes—
421#14581777C2312yes—
422#14581777C2314yes—
423#14581777C2314yes—
424#14581777C2314yes—
425#14581777C2314yes—
426#14581777C2314yes—
427#14581777C2314yes—
428#14581777C2312yes—
429#14581777C2314yes—
430#14581776C2314yes—
431#14581776C2312yes—
432#14581776C2314yes—
433#14581775C2314yes—
434#14581774C2314yes—
435#14581774C2314yes—
436#14581774C2314yes—
437#14581774C2314yes—
438#14581774C2314yes—
439#14581774C2314yes—
440#14581774C2314yes—
441#14581774C2314yes—
442#14581774C2312yes—
443#14581774C2312yes—
444#14581773C2314yes—
445#14581773C2312yes—
446#14581773C2314yes—
447#14581772C2314yes—
448#14581772C2312yes—
449#14581772C2314yes—
450#14581772C2312yes—
451#14581772C2312yes—
452#14581772C2312yes—
453#14581772C2312yes—
454#14581772C2314yes—
455#14581772C2311yescharacteristic
456#14581772C2312yes—
457#14581772C2311yescharacteristic
458#14581771C2312yes—
459#14581771C2312yes—
460#14581771C2314yes—
461#14581771C2312yes—
462#14581770C2314yes—
463#14581770C2314yes—
464#14581770C2314yes—
465#14581770C2314yes—
466#14581770C2314yes—
467#14581770C2314yes—
468#14581770C2314yes—
469#14581770C2314yes—
470#14581770C2314yes—
471#14581770C2314yes—
472#14581770C2314yes—
473#14581770C2314yes—
474#14581770C2312yes—
475#14581770C2314yes—
476#14581770C2312yes—
477#14581770C2314yes—
478#14581769C2314yes—
479#14581769C2314yes—
480#14581769C2314yes—
481#14581769C2314yes—
482#14581769C2314yes—
483#14581769C2314yes—
484#14581769C2314yes—
485#14581769C2314yes—
486#14581769C2314yes—
487#14581769C2314yes—
488#14581769C2312yes—
489#14581769C2314yes—
490#14581769C2312yes—
491#14581768C2312yes—
492#14581768C2314yes—
493#14581768C2314yes—
494#14581768C2312yes—
495#14581768C2312yes—
496#14581768C2312yes—
497#14581768C2314yes—
498#14581768C2311yescharacteristic
499#14581768C2312yes—
500#14581768C2311yescharacteristic
501#14581767C2311yescharacteristic
502#14581767C2314yes—
503#14581767C2311yescharacteristic
504#14581766C2312yes—
505#14581765C2314yes—
506#14581765C2314yes—
507#14581765C2314yes—
508#14581765C2314yes—
509#14581765C2314yes—
510#14581765C2312yes—
511#14581765C2312yes—
512#14581764C2314yes—
513#14581764C2314yes—
514#14581764C2312yes—
515#14581764C2312yes—
516#14581764C2314yes—
517#14581763C2311yescharacteristic
518#14581763C2312yes—
519#14581763C2314yes—
520#14581763C2311yescharacteristic
521#14581762C2312yes—
522#14581762C2314yes—
523#14581760C2312yes—
524#14581760C2314yes—
525Q8×Dic83C2312yes—
526Q8×Dic83C2312yes—
527Q8×Dic83C2312yes—
528Q8×Dic83C2314yes—
529Q8×Dic83C2312yes—
530Q8×Dic83C2311yescharacteristic
531Q8×Dic83C2311yescharacteristic
532Q8×Dic83C2312yes—
533C4×Dic166C2312yes—
534C4×Dic166C2312yes—
535C4×Dic166C2314yes—
536C4×Dic166C2312yes—
537C4×Dic166C2314yes—
538C4×Dic166C2312yes—
539C4×Dic166C2314yes—
540C4×Dic166C2314yes—
541C4×Dic166C2312yes—
542C4×Dic166C2312yes—
543C4×Dic166C2312yes—
544C4×Dic166C2311yescharacteristic
545C4×Dic166C2311yescharacteristic
546C4×Dic166C2312yes—
547C4×Dic166C2312yes—
548C4×Dic166C2314yes—
549C4×Dic166C2312yes—
550C4×Dic166C2311yescharacteristic
551C4×Dic166C2314yes—
552C4×Dic166C2314yes—
553C4×Dic166C2312yes—
554C4×Dic166C2314yes—
555C4×Dic166C2312yes—
556C4×Dic166C2312yes—
557C4×Dic166C2314yes—
558C4×Dic166C2311yescharacteristic
559#14581757C2314yes—
560#14581757C2312yes—
561#14581757C2312yes—
562#14581757C2314yes—
563#14581757C2314yes—
564#14581757C2311yescharacteristic
565#14581757C2311yescharacteristic
566#14581757C2314yes—
567#14581757C2314yes—
568#14581757C2314yes—
569#14581757C2314yes—
570#14581757C2314yes—
571#14581757C2312yes—
572#14581757C2314yes—
573#14581757C2312yes—
574#14581757C2312yes—
575#14581757C2314yes—
576#14581757C2312yes—
577C4×D332C2311yescharacteristic
578C4×D332C2312yes—
579C4×D332C2312yes—
580C4×D332C2312yes—
581C4×D332C2314yes—
582C4×D332C2312yes—
583C4×D332C2311yescharacteristic
584C4×D332C2311yescharacteristic
585C4×D332C2312yes—
586C4×D332C2312yes—
587C4×D332C2314yes—
588C4×D332C2311yescharacteristic
589C4×D332C2312yes—
590D4×Dic83C2312yes—
591D4×Dic83C2314yes—
592D4×Dic83C2311yescharacteristic
593D4×Dic83C2312yes—
594D4×Dic83C2314yes—
595D4×Dic83C2312yes—
596D4×Dic83C2311yescharacteristic
597#14581754C2312yes—
598#14581754C2314yes—
599#14581754C2312yes—
600#14581754C2311yescharacteristic
601#14581754C2311yescharacteristic
602#14581754C2312yes—
603#14581754C2314yes—
604#14581754C2314yes—
605#14581754C2312yes—
606#14581754C2314yes—
607C4×C22⋊D83C2312yes—
608C4×C22⋊D83C2314yes—
609C4×C22⋊D83C2312yes—
610C4×C22⋊D83C2312yes—
611C4×C22⋊D83C2312yes—
612C4×C22⋊D83C2312yes—
613C4×C22⋊D83C2314yes—
614C4×C22⋊D83C2314yes—
615C4×C22⋊D83C2312yes—
616C4×C22⋊D83C2312yes—
617C4×C22⋊D83C2312yes—
618C4×C22⋊D83C2312yes—
619C4×C22⋊D83C2312yes—
620C4×C22⋊D83C2312yes—
621C4×C22⋊D83C2312yes—
622C4×C22⋊D83C2314yes—
623C4×C22⋊D83C2312yes—
624C4×C22⋊D83C2314yes—
625C4×C22⋊D83C2312yes—
626C4×C22⋊D83C2312yes—
627C4×C22⋊D83C2312yes—
628(C22⋊D83)⋊C4C2314yes—
629(C22⋊D83)⋊C4C2314yes—
630(C22⋊D83)⋊C4C2314yes—
631(C22⋊D83)⋊C4C2312yes—
632(C22⋊D83)⋊C4C2314yes—
633(C22⋊D83)⋊C4C2312yes—
634(C22⋊D83)⋊C4C2312yes—
635(C22⋊D83)⋊C4C2314yes—
636(C22⋊D83)⋊C4C2312yes—
637(C22⋊D83)⋊C4C2314yes—
638(C22⋊D83)⋊C4C2314yes—
639(C22⋊D83)⋊C4C2312yes—
640(C22⋊D83)⋊C4C2314yes—
641(C22⋊D83)⋊C4C2312yes—
642(C22⋊D83)⋊C4C2314yes—
643#14581751C2312yes—
644#14581751C2311yescharacteristic
645#14581751C2314yes—
646#14581751C2312yes—
647#14581751C2312yes—
648#14581751C2311yescharacteristic
649#14581751C2314yes—
650#14581751C2312yes—
651#14581750C2314yes—
652#14581750C2312yes—
653#14581750C2312yes—
654#14581750C2314yes—
655#14581750C2314yes—
656#14581750C2314yes—
657#14581750C2314yes—
658#14581750C2312yes—
659#14581750C2312yes—
660#14581750C2314yes—
661#14581750C2312yes—
662#14581750C2311yescharacteristic
663#14581750C2311yescharacteristic
664#14581749C2312yes—
665#14581749C2312yes—
666#14581749C2314yes—
667#14581749C2314yes—
668#14581749C2314yes—
669#14581749C2314yes—
670#14581749C2312yes—
671#14581749C2312yes—
672#14581749C2314yes—
673#14581749C2312yes—
674#14581749C2314yes—
675#14581749C2312yes—
676#14581749C2314yes—
677#14581749C2314yes—
678#14581749C2312yes—
679#14581749C2312yes—
680#14581748C2314yes—
681#14581748C2314yes—
682#14581748C2312yes—
683#14581748C2314yes—
684#14581748C2314yes—
685#14581748C2314yes—
686#14581748C2312yes—
687#14581748C2314yes—
688#14581748C2312yes—
689#14581748C2314yes—
690C2×C4⋊Dic83C2311yescharacteristic
691C2×C4⋊Dic83C2312yes—
692C2×C4⋊Dic83C2312yes—
693C2×Dic83⋊C4C2312yes—
694C2×Dic83⋊C4C2312yes—
695C2×Dic83⋊C4C2312yes—
696C2×Dic83⋊C4C2314yes—
697C2×Dic83⋊C4C2312yes—
698C2×Dic83⋊C4C2312yes—
699C4⋊C4×D83C2312yes—
700C4⋊C4×D83C2312yes—
701C4⋊C4×D83C2314yes—
702C4⋊C4×D83C2314yes—
703C4⋊C4×D83C2314yes—
704C4⋊C4×D83C2314yes—
705C4⋊C4×D83C2314yes—
706C4⋊C4×D83C2312yes—
707C4⋊C4×D83C2312yes—
708C4⋊C4×D83C2311yescharacteristic
709C4⋊C4×D83C2314yes—
710C4⋊C4×D83C2312yes—
711C4⋊C4×D83C2311yescharacteristic
712C4⋊C4×D83C2314yes—
713C4⋊C4×D83C2314yes—
714C2×(C2×D83)⋊C4C2312yes—
715C2×(C2×D83)⋊C4C2312yes—
716C22⋊C4×D83C2314yes—
717C22⋊C4×D83C2314yes—
718C22⋊C4×D83C2312yes—
719C22⋊C4×D83C2312yes—
720C22⋊C4×D83C2312yes—
721C2×C4×Dic83C2311yescharacteristic
722C2×C4×Dic83C2312yes—
723C2×C4×Dic83C2311yescharacteristic
724C2×C4×Dic83C2312yes—
725C2×C4×Dic83C2311yescharacteristic
726C2×C4×Dic83C2312yes—
727C2×C4×Dic83C2312yes—
728C2×C4×Dic83C2314yes—
729C42×D83C2311yescharacteristic
730C42×D83C2312yes—
731C42×D83C2311yescharacteristic
732C42×D83C2312yes—
733C42×D83C2311yescharacteristic
734C42×D83C2311yescharacteristic
735C42×D83C2312yes—
736C42×D83C2312yes—
737C42×D83C2312yes—
738C42×D83C2311yescharacteristic
739C42×D83C2312yes—
740C42×D83C2311yescharacteristic
741C42×D83C2312yes—
742C42×D83C2311yescharacteristic
743C42×D83C2311yescharacteristic
744C42×D83C2314yes—
745C42×D83C2314yes—
746C42×D83C2314yes—
747C42×D83C2312yes—
748C2×#41×C83C2311yescharacteristic
749C2×#41×C83C2311yescharacteristic
750C22×Q8×C83C2311yescharacteristic
751C4⋊Q8×C83C2312yes—
752C4⋊Q8×C83C2312yes—
753C4⋊Q8×C83C2312yes—
754C4⋊Q8×C83C2312yes—
755#126×C83C2314yes—
756#126×C83C2314yes—
757#126×C83C2314yes—
758#126×C83C2314yes—
759#125×C83C2312yes—
760#125×C83C2314yes—
761#125×C83C2314yes—
762#125×C83C2312yes—
763#125×C83C2314yes—
764#124×C83C2312yes—
765#124×C83C2312yes—
766#124×C83C2314yes—
767#123×C83C2314yes—
768#123×C83C2314yes—
769#123×C83C2314yes—
770#123×C83C2314yes—
771C22⋊Q8×C83C2314yes—
772C22⋊Q8×C83C2312yes—
773C22⋊Q8×C83C2312yes—
774C22⋊Q8×C83C2312yes—
775C22⋊Q8×C83C2312yes—
776C22⋊Q8×C83C2314yes—
777C22⋊Q8×C83C2314yes—
778C22⋊Q8×C83C2312yes—
779C22⋊Q8×C83C2312yes—
780#121×C83C2314yes—
781#121×C83C2312yes—
782#121×C83C2312yes—
783C4×Q8×C83C2312yes—
784C4×Q8×C83C2312yes—
785C4×Q8×C83C2312yes—
786C4×Q8×C83C2312yes—
787C4×Q8×C83C2311yescharacteristic
788C4×Q8×C83C2311yescharacteristic
789C4×Q8×C83C2311yescharacteristic
790C4×Q8×C83C2311yescharacteristic
791C4×Q8×C83C2314yes—
792C4×D4×C83C2312yes—
793C4×D4×C83C2311yescharacteristic
794C4×D4×C83C2312yes—
795C4×D4×C83C2311yescharacteristic
796C4×D4×C83C2312yes—
797C4×D4×C83C2311yescharacteristic
798C4×D4×C83C2312yes—
799C4×D4×C83C2311yescharacteristic
800C4×D4×C83C2314yes—
801#117×C83C2312yes—
802#117×C83C2311yescharacteristic
803#117×C83C2311yescharacteristic
804#117×C83C2312yes—
805#117×C83C2314yes—
806#117×C83C2314yes—
807C2×C4⋊C4×C83C2311yescharacteristic
808C2×C4⋊C4×C83C2312yes—
809C2×C42×C83C2311yescharacteristic
810C2×C42×C83C2312yes—
811C2×C42×C83C2312yes—
812C2×C42×C83C2312yes—
813C23×D83C2412yes—
814C23×D83C2411yescharacteristic
815#13050591—24no—
816#13050591—28no—
817#13050591—28no—
818#13050590—24no—
819#13050590—216no—
820#13050590—28no—
821#13050590—28no—
822#13050590—28no—
823#13050590—44no—
824#13050590#4118yescomplemented
825#13050589—28no—
826#13050589—216no—
827#13050589—28no—
828#13050589—24no—
829#13050589—48no—
830C2×Dic166—24no—
831C2×Dic166—28no—
832C2×Dic166—44no—
833C2×Dic166C2412yes—
834C2×Dic166C2414yes—
835C2×Dic166C2412yes—
836C2×Dic166C2412yes—
837C2×Dic166C2414yes—
838C2×Dic166C2414yes—
839C2×Dic166C2411yescharacteristic
840C2×Dic166C2412yes—
841C2×Dic166C2412yes—
842C2×Dic166C2414yes—
843C2×Dic166C2414yes—
844C2×Dic166C2411yescharacteristic
845Q8×D83—28no—
846Q8×D83—28no—
847Q8×D83—24no—
848Q8×D83—28no—
849Q8×D83—48no—
850C2×D332C2412yes—
851C2×D332C2414yes—
852C2×D332C2412yes—
853C2×D332C2411yescharacteristic
854C2×D332C2412yes—
855C2×D332C2411yescharacteristic
856C2×C22⋊D83C2412yes—
857C2×C22⋊D83C2414yes—
858C2×C22⋊D83C2412yes—
859C2×C22⋊D83C2412yes—
860C2×C22⋊D83C2412yes—
861C2×C22⋊D83C2412yes—
862C2×C22⋊D83C2412yes—
863C2×C22⋊D83C2412yes—
864C2×C22⋊D83C2414yes—
865C2×C22⋊D83C2412yes—
866D4×D83—28no—
867D4×D83—24no—
868C22×Dic83C2411yescharacteristic
869C22×Dic83C2411yescharacteristic
870C22×Dic83C2412yes—
871C22×Dic83C2414yes—
872C22×Dic83C2412yes—
873C22×Dic83C2412yes—
874C22×Dic83C2411yescharacteristic
875C22×Dic83C2412yes—
876C22×Dic83C2412yes—
877C22×Dic83C2414yes—
878C2×C4×D83—24no—
879C2×C4×D83—28no—
880C2×C4×D83—28no—
881C2×C4×D83—24no—
882C2×C4×D83—44no—
883C2×C4×D83—42no—
884C2×C4×D83C2411yescharacteristic
885C2×C4×D83C2411yescharacteristic
886C2×C4×D83C2412yes—
887C2×C4×D83C2411yescharacteristic
888C2×C4×D83C2412yes—
889C2×C4×D83C2412yes—
890C2×C4×D83C2411yescharacteristic
891C2×C4×D83C2414yes—
892C2×C4×D83C2411yescharacteristic
893C2×C4×D83C2411yescharacteristic
894C2×C4×D83C2412yes—
895C2×C4×D83C2411yescharacteristic
896C2×C4×D83C2414yes—
897C2×C4×D83C2412yes—
898C2×C4×D83C2411yescharacteristic
899C2×C4×D83C2412yes—
900C2×C4×D83C2414yes—
901C2×C4×D83C2412yes—
902C2×C4×D83C2411yescharacteristic
903C2×C4×D83C2412yes—
904C2×C4×D83C2414yes—
905C2×C4×D83C2414yes—
906C2×C4×D83C2412yes—
907C2×C4×D83C2414yes—
908C2×C4×D83C2411yescharacteristic
909C2×C4×D83C2411yescharacteristic
910C2×C4×D83C2412yes—
911C2×C4×D83C2412yes—
912C2×C4×D83C2412yes—
913C2×C4×D83C2411yescharacteristic
914C4⋊Dic83C2412yes—
915C4⋊Dic83C2414yes—
916C4⋊Dic83C2411yescharacteristic
917C4⋊Dic83C2411yescharacteristic
918C4⋊Dic83C2412yes—
919C4⋊Dic83C2412yes—
920C4⋊Dic83C2414yes—
921C4⋊Dic83C2412yes—
922C4⋊Dic83C2414yes—
923C4⋊Dic83C2412yes—
924C4⋊Dic83C2414yes—
925C4⋊Dic83C2414yes—
926C4⋊Dic83C2412yes—
927C4⋊Dic83C2414yes—
928C4⋊Dic83C2414yes—
929C4⋊Dic83C2414yes—
930C4⋊Dic83C2412yes—
931C4⋊Dic83C2412yes—
932C4⋊Dic83C2411yescharacteristic
933C4⋊Dic83C2411yescharacteristic
934Dic83⋊C4C2414yes—
935Dic83⋊C4C2414yes—
936Dic83⋊C4C2412yes—
937Dic83⋊C4C2412yes—
938Dic83⋊C4C2414yes—
939Dic83⋊C4C2414yes—
940Dic83⋊C4C2414yes—
941Dic83⋊C4C2412yes—
942Dic83⋊C4C2414yes—
943Dic83⋊C4C2414yes—
944Dic83⋊C4C2412yes—
945Dic83⋊C4C2414yes—
946Dic83⋊C4C2412yes—
947Dic83⋊C4C2414yes—
948Dic83⋊C4C2414yes—
949Dic83⋊C4C2414yes—
950Dic83⋊C4C2412yes—
951Dic83⋊C4C2414yes—
952Dic83⋊C4C2414yes—
953Dic83⋊C4C2412yes—
954Dic83⋊C4C2412yes—
955Dic83⋊C4C2412yes—
956Dic83⋊C4C2414yes—
957Dic83⋊C4C2414yes—
958Dic83⋊C4C2412yes—
959Dic83⋊C4C2412yes—
960Dic83⋊C4C2414yes—
961Dic83⋊C4C2414yes—
962Dic83⋊C4C2414yes—
963Dic83⋊C4C2414yes—
964Dic83⋊C4C2412yes—
965Dic83⋊C4C2412yes—
966Dic83⋊C4C2414yes—
967Dic83⋊C4C2412yes—
968Dic83⋊C4C2412yes—
969Dic83⋊C4C2412yes—
970C22⋊Dic83C2412yes—
971C22⋊Dic83C2414yes—
972C22⋊Dic83C2412yes—
973C22⋊Dic83C2414yes—
974C22⋊Dic83C2414yes—
975C22⋊Dic83C2412yes—
976C22⋊Dic83C2412yes—
977C22⋊Dic83C2412yes—
978C22⋊Dic83C2414yes—
979C22⋊Dic83C2412yes—
980C22⋊Dic83C2412yes—
981C22⋊Dic83C2412yes—
982(C2×D83)⋊C4C2412yes—
983(C2×D83)⋊C4C2414yes—
984(C2×D83)⋊C4C2414yes—
985(C2×D83)⋊C4C2412yes—
986(C2×D83)⋊C4C2412yes—
987(C2×D83)⋊C4C2414yes—
988(C2×D83)⋊C4C2414yes—
989(C2×D83)⋊C4C2412yes—
990(C2×D83)⋊C4C2414yes—
991(C2×D83)⋊C4C2414yes—
992(C2×D83)⋊C4C2412yes—
993(C2×D83)⋊C4C2412yes—
994(C2×D83)⋊C4C2414yes—
995(C2×D83)⋊C4C2412yes—
996(C2×D83)⋊C4C2414yes—
997(C2×D83)⋊C4C2414yes—
998(C2×D83)⋊C4C2414yes—
999(C2×D83)⋊C4C2412yes—
1000(C2×D83)⋊C4C2412yes—
1001(C2×D83)⋊C4C2412yes—
1002(C2×D83)⋊C4C2412yes—
1003(C2×D83)⋊C4C2412yes—
1004(C2×D83)⋊C4C2412yes—
1005(C2×D83)⋊C4C2412yes—
1006(C2×D83)⋊C4C2412yes—
1007(C2×D83)⋊C4C2412yes—
1008C4×Dic83C2411yescharacteristic
1009C4×Dic83C2411yescharacteristic
1010C4×Dic83C2412yes—
1011C4×Dic83C2414yes—
1012C4×Dic83C2414yes—
1013C4×Dic83C2414yes—
1014C4×Dic83C2414yes—
1015C4×Dic83C2414yes—
1016C4×Dic83C2411yescharacteristic
1017C4×Dic83C2414yes—
1018C4×Dic83C2412yes—
1019C4×Dic83C2414yes—
1020C4×Dic83C2411yescharacteristic
1021C4×Dic83C2411yescharacteristic
1022C4×Dic83C2411yescharacteristic
1023C4×Dic83C2412yes—
1024C4×Dic83C2412yes—
1025C4×Dic83C2414yes—
1026C4×Dic83C2412yes—
1027C4×Dic83C2414yes—
1028C4×Dic83C2412yes—
1029C4×Dic83C2411yescharacteristic
1030C4×Dic83C2411yescharacteristic
1031C4×Dic83C2412yes—
1032C4×Dic83C2411yescharacteristic
1033C4×Dic83C2411yescharacteristic
1034C4×Dic83C2412yes—
1035C4×Dic83C2412yes—
1036C4×Dic83C2411yescharacteristic
1037C4×Dic83C2412yes—
1038C4×Dic83C2412yes—
1039C4×Dic83C2411yescharacteristic
1040C4×Dic83C2412yes—
1041C4×Dic83C2414yes—
1042#41×C83—24no—
1043#41×C83—24no—
1044C2×Q8×C83—24no—
1045C2×Q8×C83C2411yescharacteristic
1046C2×Q8×C83C2412yes—
1047C2×Q8×C83C2412yes—
1048C2×Q8×C83C2411yescharacteristic
1049C2×Q8×C83C2414yes—
1050C2×D4×C83C2412yes—
1051C2×D4×C83C2411yescharacteristic
1052C2×D4×C83C2411yescharacteristic
1053C2×D4×C83C2412yes—
1054C2×D4×C83C2414yes—
1055C22×C4×C83C2412yes—
1056C22×C4×C83C2411yescharacteristic
1057C22×C4×C83C2412yes—
1058C22×C4×C83C2412yes—
1059C22×C4×C83C2412yes—
1060C22×C4×C83C2412yes—
1061C22×C4×C83C2412yes—
1062C22×C4×C83C2411yescharacteristic
1063C22×C4×C83C2412yes—
1064C22×C4×C83C2412yes—
1065C22×C4×C83C2411yescharacteristic
1066C4⋊C4×C83C2414yes—
1067C4⋊C4×C83C2411yescharacteristic
1068C4⋊C4×C83C2411yescharacteristic
1069C4⋊C4×C83C2414yes—
1070C4⋊C4×C83C2414yes—
1071C4⋊C4×C83C2412yes—
1072C4⋊C4×C83C2414yes—
1073C4⋊C4×C83C2414yes—
1074C4⋊C4×C83C2414yes—
1075C4⋊C4×C83C2414yes—
1076C4⋊C4×C83C2414yes—
1077C4⋊C4×C83C2414yes—
1078C4⋊C4×C83C2412yes—
1079C4⋊C4×C83C2412yes—
1080C4⋊C4×C83C2411yescharacteristic
1081C4⋊C4×C83C2412yes—
1082C4⋊C4×C83C2412yes—
1083C4⋊C4×C83C2411yescharacteristic
1084C4⋊C4×C83C2414yes—
1085C4⋊C4×C83C2412yes—
1086C22⋊C4×C83C2412yes—
1087C22⋊C4×C83C2414yes—
1088C22⋊C4×C83C2414yes—
1089C22⋊C4×C83C2414yes—
1090C22⋊C4×C83C2414yes—
1091C22⋊C4×C83C2414yes—
1092C22⋊C4×C83C2412yes—
1093C22⋊C4×C83C2412yes—
1094C22⋊C4×C83C2414yes—
1095C22⋊C4×C83C2412yes—
1096C22⋊C4×C83C2412yes—
1097C22⋊C4×C83C2412yes—
1098C42×C83C2412yes—
1099C42×C83C2412yes—
1100C42×C83C2411yescharacteristic
1101C42×C83C2411yescharacteristic
1102C42×C83C2411yescharacteristic
1103C42×C83C2411yescharacteristic
1104C42×C83C2412yes—
1105C42×C83C2414yes—
1106C42×C83C2412yes—
1107C42×C83C2412yes—
1108C42×C83C2412yes—
1109C42×C83C2414yes—
1110C23×C83C2512yes—
1111C23×C83C2512yes—
1112C23×C83C2511yescharacteristic
1113C22×D83—22no—
1114C22×D83—24no—
1115C22×D83—24no—
1116C22×D83—22no—
1117C22×D83—42no—
1118C22×D83—41no—
1119C22×D83C2511yescharacteristic
1120C22×D83C2512yes—
1121C22×D83C2512yes—
1122C22×D83C2511yescharacteristic
1123Q8×C83—24no—
1124Q8×C83—24no—
1125Q8×C83—22no—
1126Q8×C83—22no—
1127Q8×C83—44no—
1128D4×C83—24no—
1129D4×C83—24no—
1130D4×C83—22no—
1131D4×C83—22no—
1132D4×C83—44no—
1133C2×C4×C83—24no—
1134C2×C4×C83—24no—
1135C2×C4×C83—24no—
1136C2×C4×C83—22no—
1137C2×C4×C83—24no—
1138C2×C4×C83—24no—
1139C2×C4×C83—42no—
1140C2×C4×C83—41no—
1141C2×C4×C83—42no—
1142C2×C4×C83—42no—
1143C2×C4×C83C2×#4114yes—
1144C2×C4×C83C2511yescharacteristic
1145C2×C4×C83C2511yescharacteristic
1146C2×C4×C83C2511yescharacteristic
1147C2×C4×C83C2512yes—
1148C2×C4×C83C2512yes—
1149C2×C4×C83C2512yes—
1150C2×C4×C83C2514yes—
1151C2×C4×C83C2512yes—
1152C2×C4×C83C2512yes—
1153C2×C4×C83C2514yes—
1154C2×C4×C83C2512yes—
1155C2×C4×C83C2511yescharacteristic
1156C2×C4×C83C2511yescharacteristic
1157C2×C4×C83C2511yescharacteristic
1158C22⋊D83—24no—
1159C22⋊D83—24no—
1160C22⋊D83—28no—
1161C22⋊D83—24no—
1162C22⋊D83—24no—
1163C22⋊D83—24no—
1164C22⋊D83—24no—
1165C22⋊D83—44no—
1166C22⋊D83—42no—
1167C22⋊D83C2×#4118yes—
1168C2×Dic83—22no—
1169C2×Dic83—24no—
1170C2×Dic83—24no—
1171C2×Dic83—28no—
1172C2×Dic83—22no—
1173C2×Dic83—24no—
1174C2×Dic83—22no—
1175C2×Dic83—24no—
1176C2×Dic83—42no—
1177C2×Dic83—44no—
1178C2×Dic83C2512yes—
1179C2×Dic83C2511yescharacteristic
1180C2×Dic83C2512yes—
1181C2×Dic83C2512yes—
1182C2×Dic83C2511yescharacteristic
1183C2×Dic83C2511yescharacteristic
1184C2×Dic83C2514yes—
1185C2×Dic83C2514yes—
1186C2×Dic83C2512yes—
1187C2×Dic83C2512yes—
1188C2×Dic83C2511yescharacteristic
1189C2×Dic83C2512yes—
1190C2×Dic83C2511yescharacteristic
1191C2×Dic83C2511yescharacteristic
1192D332—24no—
1193D332—28no—
1194D332—24no—
1195D332—22no—
1196D332—42no—
1197D332C2×#4114yes—
1198C4×D83—24no—
1199C4×D83—28no—
1200C4×D83—28no—
1201C4×D83—22no—
1202C4×D83—24no—
1203C4×D83—22no—
1204C4×D83—22no—
1205C4×D83—22no—
1206C4×D83—22no—
1207C4×D83—24no—
1208C4×D83—24no—
1209C4×D83—22no—
1210C4×D83—24no—
1211C4×D83—24no—
1212C4×D83—28no—
1213C4×D83—24no—
1214C4×D83—22no—
1215C4×D83—22no—
1216C4×D83—24no—
1217C4×D83—22no—
1218C4×D83—41no—
1219C4×D83—41no—
1220C4×D83—42no—
1221C4×D83—42no—
1222C4×D83—44no—
1223C4×D83—44no—
1224C4×D83—44no—
1225C4×D83—42no—
1226C4×D83C2×#4118yes—
1227C4×D832−1+414yescomplemented
1228Dic166—22no—
1229Dic166—24no—
1230Dic166—24no—
1231Dic166—28no—
1232Dic166—28no—
1233Dic166—24no—
1234Dic166—24no—
1235Dic166—24no—
1236Dic166—28no—
1237Dic166—44no—
1238Dic166—44no—
1239Dic166C2×#4114yes—
1240C22×C83—21no—
1241C22×C83—21no—
1242C22×C83—22no—
1243C22×C83—22no—
1244C22×C83—22no—
1245C22×C83—22no—
1246C22×C83—22no—
1247C22×C83—22no—
1248C22×C83C22×#4112yes—
1249C22×C83C2611yescharacteristic
1250C2×D83—21no—
1251C2×D83—22no—
1252C2×D83—22no—
1253C2×D83—21no—
1254C2×D83—22no—
1255C2×D83—21no—
1256C2×D83—21no—
1257C2×D83—22no—
1258C2×D83—21no—
1259C2×D83—22no—
1260C2×D83—48no—
1261C2×D83—44no—
1262C2×D83C22×#4114yes—
1263C2×D83C2×2−1+412yes—
1264C4×C83—22no—
1265C4×C83—22no—
1266C4×C83—24no—
1267C4×C83—22no—
1268C4×C83—21no—
1269C4×C83—22no—
1270C4×C83—24no—
1271C4×C83—22no—
1272C4×C83—22no—
1273C4×C83—21no—
1274C4×C83—21no—
1275C4×C83C22×#4112yes—
1276C4×C83C22×#4112yes—
1277C4×C83C2×2−1+412yes—
1278Dic83—22no—
1279Dic83—24no—
1280Dic83—21no—
1281Dic83—21no—
1282Dic83—22no—
1283Dic83—22no—
1284Dic83—21no—
1285Dic83—22no—
1286Dic83—24no—
1287Dic83—21no—
1288Dic83—22no—
1289Dic83C22×#4114yes—
1290Dic83C2×2−1+412yes—
1291Dic83#58512yes—
1292#62805—831nomaximal, Sylow
1293C2×C83—22no—
1294C2×C83—42no—
1295C2×C83—42no—
1296C2×C83C23×#4111yescharacteristic
1297C2×C83C22×2−1+411yescharacteristic
1298C2×C83C2×#58511yescharacteristic
1299D83—22no—
1300D83—24no—
1301D83—42no—
1302D83—41no—
1303#3523—832no—
1304#3520—832no—
1305#3520—834no—
1306#3518—832no—
1307#3515—832no—
1308#3515—834no—
1309#3511—832no—
1310#3511—831no—
1311#3509—832no—
1312#3509—831no—
1313#3503—831no—
1314#3499—831no—
1315#3495—831no—
1316#3495—832no—
1317#3495—832no—
1318#3495—831no—
1319#3489—831no—
1320#3489—831no—
1321#3482—832no—
1322#3482—832no—
1323#3482—834no—
1324Q8×#41—832no—
1325#3475—834no—
1326#3475—832no—
1327#3461—832no—
1328#3461—832no—
1329#3461—831no—
1330#3461D8311yescharacteristic, complemented
1331#3444—832no—
1332#3444—831no—
1333C2×#533—832no—
1334C2×#533—831no—
1335C4×2−1+4—831no—
1336C4×2−1+4—831no—
1337C2×C4×#41—831no—
1338C83#6280511yescharacteristic, complemented, Sylow
1339C2×2−1+4—831no—
1340C2×2−1+4—831no—
1341C22×#41—831no—
1342Q82—832no—
1343#557—832no—
1344#557—832no—
1345#557—834no—
1346#557—832no—
1347#557—834no—
1348#556—832no—
1349#556—834no—
1350#556—834no—
1351#556—834no—
1352#556—834no—
1353#556—832no—
1354#556—834no—
1355#556—832no—
1356#556—832no—
1357#556—832no—
1358#555—834no—
1359#555—832no—
1360#554—832no—
1361#554—834no—
1362#554—832no—
1363#554—834no—
1364#554—834no—
1365#554—834no—
1366#554—832no—
1367#554—832no—
1368#553—834no—
1369#553—834no—
1370#553—834no—
1371#552—834no—
1372#552—834no—
1373#552—834no—
1374#552—834no—
1375#552—834no—
1376#552—834no—
1377#552—834no—
1378#552—834no—
1379#552—834no—
1380#552—832no—
1381#552—832no—
1382#552—834no—
1383#552—834no—
1384#552—834no—
1385#552—834no—
1386#552—834no—
1387#552—832no—
1388#552—834no—
1389#552—832no—
1390#552—834no—
1391#551—834no—
1392#551—834no—
1393#551—834no—
1394#551—834no—
1395#551—834no—
1396#551—834no—
1397D4×Q8—832no—
1398D4×Q8—832no—
1399D4×Q8—832no—
1400D4×Q8—832no—
1401D4×Q8—832no—
1402D4×Q8—834no—
1403#548—832no—
1404#548—834no—
1405#548—834no—
1406#548—832no—
1407#548—834no—
1408#547—832no—
1409#547—834no—
1410#547—834no—
1411#547—834no—
1412#547—834no—
1413#547—832no—
1414#547—832no—
1415#547—832no—
1416#547—834no—
1417#547—832no—
1418#546—832no—
1419#546—834no—
1420#546—834no—
1421#546—832no—
1422#544—832no—
1423#544—832no—
1424#544—831no—
1425#544C2×D8311yescharacteristic, complemented
1426#542—832no—
1427#542—832no—
1428#542—834no—
1429#542—834no—
1430#542—832no—
1431#542—832no—
1432#542—832no—
1433#542—832no—
1434#542C2×D8312yescomplemented
1435#542C2×D8312yescomplemented
1436#541—832no—
1437#541—834no—
1438#541—832no—
1439#541—834no—
1440#541—832no—
1441#541—832no—
1442#541—832no—
1443#541—832no—
1444#541C2×D8312yescomplemented
1445#541C2×D8312yescomplemented
1446#539—834no—
1447#539—834no—
1448#539—834no—
1449#539—834no—
1450#539—834no—
1451#539C2×D8314yescomplemented
1452#537—831no—
1453#537—832no—
1454#537—832no—
1455#537C2×D8311yescharacteristic
1456#536—831no—
1457#536—832no—
1458#536—832no—
1459#536—832no—
1460#536—832no—
1461#536—831no—
1462#536C2×D8311yescharacteristic
1463#536C2×D8311yescharacteristic, complemented
1464#533—832no—
1465#533—832no—
1466#533—834no—
1467#533—832no—
1468#533—832no—
1469#533—832no—
1470#533—834no—
1471#533—832no—
1472#533—831no—
1473#533—832no—
1474#533—832no—
1475#533—834no—
1476#533—832no—
1477#533—832no—
1478#533—832no—
1479#533—832no—
1480#533—832no—
1481#533—832no—
1482#533—831no—
1483#533—834no—
1484#533—832no—
1485#533—834no—
1486#533—831no—
1487#533—834no—
1488#533—832no—
1489#533C2×D8312yescomplemented
1490#533C2×D8312yescomplemented
1491#532—831no—
1492#532—832no—
1493#532—832no—
1494#532—831no—
1495#532—831no—
1496C2×C4⋊Q8—831no—
1497C2×C4⋊Q8—832no—
1498C2×C4⋊Q8—832no—
1499C2×C4⋊Q8—831no—
1500#529—834no—
1501#529—834no—
1502#529—832no—
1503#529—832no—
1504#529—834no—
1505#529—831no—
1506#529—831no—
1507#529—834no—
1508#529—831no—
1509#529—832no—
1510#529—831no—
1511#529—832no—
1512#529—834no—
1513#529—834no—
1514#529—834no—
1515#529—832no—
1516#529—834no—
1517#529—832no—
1518#529—832no—
1519#529—834no—
1520#529—834no—
1521#529—834no—
1522#529—832no—
1523#529C2×D8312yescomplemented
1524#529C2×D8314yescomplemented
1525#529C2×D8312yescomplemented
1526C2×#125—834no—
1527C2×#125—832no—
1528#525—831no—
1529#525—834no—
1530#525—832no—
1531#525—832no—
1532#525—834no—
1533#525—832no—
1534#525—832no—
1535#525—831no—
1536C2×C22⋊Q8—831no—
1537C2×C22⋊Q8—832no—
1538C2×C22⋊Q8—832no—
1539C2×C22⋊Q8—834no—
1540C2×C22⋊Q8—832no—
1541C2×C22⋊Q8—831no—
1542#520—831no—
1543#520—832no—
1544#520—832no—
1545#520—832no—
1546#520—834no—
1547#520—831no—
1548#520—832no—
1549#520—831no—
1550#520—831no—
1551#520—834no—
1552#519—831no—
1553#519—832no—
1554#519—832no—
1555#519—832no—
1556#519—831no—
1557#519—832no—
1558C4×#41—831no—
1559C4×#41—831no—
1560C4×#41—831no—
1561C4×#41—832no—
1562C4×#41—832no—
1563C4×#41—832no—
1564C4×#41—831no—
1565C4×#41—832no—
1566C4×#41—831no—
1567C4×#41—832no—
1568C4×#41—834no—
1569C4×#41—834no—
1570C4×#41—831no—
1571C4×#41—832no—
1572C4×#41—834no—
1573C4×#41—831no—
1574C4×#41—832no—
1575C4×#41—831no—
1576C4×#41—832no—
1577C4×#41—834no—
1578C4×#41—832no—
1579C4×#41—832no—
1580C4×#41C2×D8311yescharacteristic
1581C4×#41C2×D8311yescharacteristic, complemented
1582C2×C4×Q8—831no—
1583C2×C4×Q8—831no—
1584C2×C4×Q8—832no—
1585C2×C4×Q8—832no—
1586C2×C4×Q8—832no—
1587C2×C4×Q8—834no—
1588C2×C4×Q8—831no—
1589C2×C4×Q8—832no—
1590C2×C4×Q8—832no—
1591C2×C4×Q8C2×D8311yescharacteristic, complemented
1592C2×C4×D4—832no—
1593C2×C4×D4—831no—
1594C2×C4×D4—831no—
1595C2×C4×D4—832no—
1596C2×#117—831no—
1597C2×#117—832no—
1598C2×#117—834no—
1599C2×#117—832no—
1600C22×C42—831no—
1601C22×C42—832no—
16022−1+4—1668no—
16032−1+4—1668no—
1604C2×#41—831no—
1605C2×#41—832no—
1606C2×#41—832no—
1607C2×#41—834no—
1608C2×#41—832no—
1609C2×#41—831no—
1610C2×#41—832no—
1611C2×#41—834no—
1612C2×#41—832no—
1613C2×#41—831no—
1614C2×#41—832no—
1615C2×#41—832no—
1616C2×#41—831no—
1617C2×#41—832no—
1618C2×#41—834no—
1619C2×#41—1668no—
1620C2×#41C22×D8311yescharacteristic
1621C2×#41C22×D8311yescharacteristic
1622C22×Q8—834no—
1623C22×Q8—831no—
1624C22×Q8—832no—
1625C22×Q8—832no—
1626C22×Q8—832no—
1627C22×Q8—832no—
1628C22×Q8—831no—
1629C22×Q8—832no—
1630C22×Q8C22×D8311yescharacteristic
1631C22×D4—832no—
1632C22×D4—831no—
1633C23×C4—832no—
1634C23×C4—831no—
1635C23×C4—831no—
1636C23×C4—832no—
1637C23×C4—832no—
1638C23×C4—831no—
1639C4⋊Q8—831no—
1640C4⋊Q8—832no—
1641C4⋊Q8—832no—
1642C4⋊Q8—832no—
1643C4⋊Q8—832no—
1644C4⋊Q8—834no—
1645C4⋊Q8—832no—
1646C4⋊Q8—834no—
1647C4⋊Q8—831no—
1648C4⋊Q8—832no—
1649C4⋊Q8—832no—
1650C4⋊Q8—834no—
1651C4⋊Q8—834no—
1652C4⋊Q8—834no—
1653C4⋊Q8—832no—
1654C4⋊Q8—832no—
1655C4⋊Q8—831no—
1656C4⋊Q8—834no—
1657C4⋊Q8—834no—
1658C4⋊Q8—834no—
1659C4⋊Q8—832no—
1660C4⋊Q8—832no—
1661C4⋊Q8—832no—
1662C4⋊Q8C22×D8312yes—
1663C4⋊Q8C22×D8312yes—
1664C4⋊Q8C22×D8312yes—
1665C4⋊Q8C22×D8312yes—
1666#127—831no—
1667#126—832no—
1668#126—832no—
1669#126—834no—
1670#126—834no—
1671#126—834no—
1672#126—834no—
1673#126—834no—
1674#126—834no—
1675#126—834no—
1676#126—834no—
1677#126—832no—
1678#126—834no—
1679#126—832no—
1680#126—834no—
1681#126—834no—
1682#126—834no—
1683#126—834no—
1684#126—834no—
1685#126—834no—
1686#126—834no—
1687#126—834no—
1688#126—834no—
1689#126C22×D8314yes—
1690#126C22×D8314yes—
1691#126C22×D8314yes—
1692#126C22×D8314yes—
1693#125—832no—
1694#125—834no—
1695#125—834no—
1696#125—834no—
1697#125—834no—
1698#125—834no—
1699#125—834no—
1700#125—834no—
1701#125—834no—
1702#125—834no—
1703#125—832no—
1704#125—831no—
1705#125—831no—
1706#125—834no—
1707#125—834no—
1708#125—834no—
1709#125—834no—
1710#125—834no—
1711#125—834no—
1712#125—834no—
1713#125—832no—
1714#125—834no—
1715#125—834no—
1716#125—834no—
1717#125—834no—
1718#125—834no—
1719#125—834no—
1720#125—832no—
1721#125C22×D8314yes—
1722#125C22×D8312yes—
1723#125C22×D8314yes—
1724#125C22×D8312yes—
1725#125C22×D8314yes—
1726#124—831no—
1727#124—834no—
1728#124—831no—
1729#124—832no—
1730#124—834no—
1731#124—832no—
1732#124—834no—
1733#124—832no—
1734#124—834no—
1735#124—834no—
1736#124—834no—
1737#124—834no—
1738#124—834no—
1739#124—832no—
1740#124C22×D8312yes—
1741#124C22×D8312yes—
1742#124C22×D8314yes—
1743#123—832no—
1744#123—834no—
1745#123—834no—
1746#123—834no—
1747#123—832no—
1748#123—834no—
1749#123—834no—
1750#123—832no—
1751#123—834no—
1752#123—834no—
1753#123—834no—
1754#123—834no—
1755#123—834no—
1756#123—832no—
1757#123—834no—
1758#123—834no—
1759#123—832no—
1760#123—832no—
1761#123—834no—
1762#123—834no—
1763#123—834no—
1764#123—834no—
1765#123—834no—
1766#123—834no—
1767#123—834no—
1768#123—834no—
1769#123C22×D8314yes—
1770#123C22×D8314yes—
1771#123C22×D8314yes—
1772#123C22×D8314yes—
1773C22⋊Q8—831no—
1774C22⋊Q8—832no—
1775C22⋊Q8—832no—
1776C22⋊Q8—832no—
1777C22⋊Q8—832no—
1778C22⋊Q8—834no—
1779C22⋊Q8—831no—
1780C22⋊Q8—834no—
1781C22⋊Q8—832no—
1782C22⋊Q8—834no—
1783C22⋊Q8—832no—
1784C22⋊Q8—832no—
1785C22⋊Q8—834no—
1786C22⋊Q8—832no—
1787C22⋊Q8—832no—
1788C22⋊Q8—834no—
1789C22⋊Q8—834no—
1790C22⋊Q8—834no—
1791C22⋊Q8—834no—
1792C22⋊Q8—834no—
1793C22⋊Q8—834no—
1794C22⋊Q8—834no—
1795C22⋊Q8—834no—
1796C22⋊Q8—832no—
1797C22⋊Q8—834no—
1798C22⋊Q8—834no—
1799C22⋊Q8—834no—
1800C22⋊Q8—834no—
1801C22⋊Q8—834no—
1802C22⋊Q8—834no—
1803C22⋊Q8—831no—
1804C22⋊Q8—832no—
1805C22⋊Q8—832no—
1806C22⋊Q8—832no—
1807C22⋊Q8—832no—
1808C22⋊Q8—834no—
1809C22⋊Q8—831no—
1810C22⋊Q8—832no—
1811C22⋊Q8—834no—
1812C22⋊Q8—832no—
1813C22⋊Q8—834no—
1814C22⋊Q8—834no—
1815C22⋊Q8—834no—
1816C22⋊Q8—834no—
1817C22⋊Q8—834no—
1818C22⋊Q8—832no—
1819C22⋊Q8—832no—
1820C22⋊Q8—834no—
1821C22⋊Q8—834no—
1822C22⋊Q8—834no—
1823C22⋊Q8—834no—
1824C22⋊Q8—834no—
1825C22⋊Q8—834no—
1826C22⋊Q8—834no—
1827C22⋊Q8C22×D8312yes—
1828C22⋊Q8C22×D8312yes—
1829C22⋊Q8C22×D8314yes—
1830C22⋊Q8C22×D8312yes—
1831C22⋊Q8C22×D8312yes—
1832C22⋊Q8C22×D8314yes—
1833C22⋊Q8C22×D8312yes—
1834C22⋊Q8C22×D8312yes—
1835C22⋊Q8C22×D8314yes—
1836#121—831no—
1837#121—831no—
1838#121—834no—
1839#121—832no—
1840#121—832no—
1841#121—832no—
1842#121—834no—
1843#121—834no—
1844#121—834no—
1845#121—832no—
1846#121—831no—
1847#121—831no—
1848#121—834no—
1849#121—832no—
1850#121—834no—
1851#121—834no—
1852#121—832no—
1853#121—834no—
1854#121—834no—
1855#121—834no—
1856#121C22×D8312yes—
1857#121C22×D8314yes—
1858#121C22×D8312yes—
1859#120—832no—
1860#120—834no—
1861#120—834no—
1862#120—832no—
1863C4×Q8—831no—
1864C4×Q8—831no—
1865C4×Q8—832no—
1866C4×Q8—832no—
1867C4×Q8—832no—
1868C4×Q8—834no—
1869C4×Q8—832no—
1870C4×Q8—832no—
1871C4×Q8—831no—
1872C4×Q8—831no—
1873C4×Q8—832no—
1874C4×Q8—832no—
1875C4×Q8—834no—
1876C4×Q8—834no—
1877C4×Q8—832no—
1878C4×Q8—832no—
1879C4×Q8—832no—
1880C4×Q8—834no—
1881C4×Q8—834no—
1882C4×Q8—834no—
1883C4×Q8—834no—
1884C4×Q8—832no—
1885C4×Q8—834no—
1886C4×Q8—834no—
1887C4×Q8—834no—
1888C4×Q8—834no—
1889C4×Q8—831no—
1890C4×Q8—834no—
1891C4×Q8—834no—
1892C4×Q8—832no—
1893C4×Q8—834no—
1894C4×Q8—831no—
1895C4×Q8—832no—
1896C4×Q8—832no—
1897C4×Q8—831no—
1898C4×Q8—832no—
1899C4×Q8—832no—
1900C4×Q8—832no—
1901C4×Q8—832no—
1902C4×Q8—832no—
1903C4×Q8—832no—
1904C4×Q8—834no—
1905C4×Q8—834no—
1906C4×Q8—834no—
1907C4×Q8—834no—
1908C4×Q8—834no—
1909C4×Q8—831no—
1910C4×Q8—832no—
1911C4×Q8—834no—
1912C4×Q8—832no—
1913C4×Q8—832no—
1914C4×Q8—832no—
1915C4×Q8C22×D8311yescharacteristic
1916C4×Q8C22×D8312yes—
1917C4×Q8C22×D8312yes—
1918C4×Q8C22×D8311yescharacteristic
1919C4×Q8C22×D8311yescharacteristic
1920C4×Q8C22×D8314yes—
1921C4×Q8C22×D8312yes—
1922C4×Q8C22×D8312yes—
1923C4×Q8C22×D8311yescharacteristic
1924C4×D4—831no—
1925C4×D4—832no—
1926C4×D4—832no—
1927C4×D4—831no—
1928C4×D4—832no—
1929C4×D4—834no—
1930C4×D4—834no—
1931C4×D4—832no—
1932C4×D4—832no—
1933C4×D4—832no—
1934C4×D4—832no—
1935C4×D4—832no—
1936C4×D4—832no—
1937C4×D4—832no—
1938C4×D4—834no—
1939C4×D4—832no—
1940C4×D4—832no—
1941C4×D4—834no—
1942C4×D4—834no—
1943C4×D4—834no—
1944C4×D4—834no—
1945C4×D4—832no—
1946C4×D4—832no—
1947C4×D4—832no—
1948C4×D4—832no—
1949C4×D4—832no—
1950C4×D4—832no—
1951C4×D4—832no—
1952C4×D4—831no—
1953C4×D4—831no—
1954C4×D4—832no—
1955C4×D4—832no—
1956C4×D4—834no—
1957C4×D4—832no—
1958C4×D4—832no—
1959C4×D4—834no—
1960C4×D4—834no—
1961C4×D4—834no—
1962C4×D4—832no—
1963C4×D4—832no—
1964C4×D4—832no—
1965C4×D4—832no—
1966C4×D4—832no—
1967C4×D4—832no—
1968C4×D4—834no—
1969C4×D4—834no—
1970C4×D4—834no—
1971C4×D4—834no—
1972C4×D4—834no—
1973C4×D4—834no—
1974C4×D4—834no—
1975C4×D4—834no—
1976C4×D4—834no—
1977C4×D4—831no—
1978C4×D4—831no—
1979C4×D4—832no—
1980C4×D4—832no—
1981C4×D4—834no—
1982C4×D4—831no—
1983C4×D4—831no—
1984C4×D4—832no—
1985C4×D4—834no—
1986C4×D4—832no—
1987C4×D4—832no—
1988C4×D4—832no—
1989C4×D4—832no—
1990C4×D4C22×D8311yescharacteristic
1991C4×D4C22×D8312yes—
1992C4×D4C22×D8312yes—
1993C4×D4C22×D8311yescharacteristic
1994C4×D4C22×D8312yes—
1995C4×D4C22×D8311yescharacteristic
1996C4×D4C22×D8314yes—
1997C4×D4C22×D8312yes—
1998C4×D4C22×D8311yescharacteristic
1999#117—831no—
2000#117—832no—
2001#117—834no—
2002#117—831no—
2003#117—834no—
2004#117—832no—
2005#117—832no—
2006#117—832no—
2007#117—831no—
2008#117—832no—
2009#117—832no—
2010#117—831no—
2011#117—834no—
2012#117—834no—
2013#117—832no—
2014#117—832no—
2015#117—834no—
2016#117—834no—
2017#117—834no—
2018#117—832no—
2019#117—834no—
2020#117—832no—
2021#117—832no—
2022#117—832no—
2023#117—834no—
2024#117—834no—
2025#117—834no—
2026#117—834no—
2027#117—834no—
2028#117—834no—
2029#117—834no—
2030#117—832no—
2031#117—834no—
2032#117—832no—
2033#117—832no—
2034#117—832no—
2035#117—834no—
2036#117—834no—
2037#117—834no—
2038#117—832no—
2039#117—834no—
2040#117—834no—
2041#117—834no—
2042#117—832no—
2043#117—834no—
2044#117—832no—
2045#117—832no—
2046#117C22×D8311yescharacteristic
2047#117C22×D8312yes—
2048#117C22×D8314yes—
2049#117C22×D8314yes—
2050#117C22×D8311yescharacteristic
2051#117C22×D8312yes—
2052C2×C4⋊C4—832no—
2053C2×C4⋊C4—832no—
2054C2×C4⋊C4—832no—
2055C2×C4⋊C4—831no—
2056C2×C4⋊C4—834no—
2057C2×C4⋊C4—832no—
2058C2×C4⋊C4—832no—
2059C2×C4⋊C4—832no—
2060C2×C4⋊C4—832no—
2061C2×C4⋊C4—832no—
2062C2×C4⋊C4—831no—
2063C2×C4⋊C4—832no—
2064C2×C4⋊C4—831no—
2065C2×C4⋊C4—834no—
2066C2×C4⋊C4—834no—
2067C2×C4⋊C4—834no—
2068C2×C4⋊C4—834no—
2069C2×C4⋊C4—832no—
2070C2×C4⋊C4—832no—
2071C2×C4⋊C4—834no—
2072C2×C4⋊C4—832no—
2073C2×C4⋊C4—834no—
2074C2×C4⋊C4—834no—
2075C2×C4⋊C4—834no—
2076C2×C4⋊C4C22×D8312yes—
2077C2×C4⋊C4C22×D8311yescharacteristic
2078C2×C22⋊C4—832no—
2079C2×C22⋊C4—832no—
2080C2×C22⋊C4—832no—
2081C2×C22⋊C4—832no—
2082C2×C22⋊C4—832no—
2083C2×C22⋊C4—834no—
2084C2×C22⋊C4—834no—
2085C2×C42—832no—
2086C2×C42—831no—
2087C2×C42—834no—
2088C2×C42—832no—
2089C2×C42—831no—
2090C2×C42—832no—
2091C2×C42—831no—
2092C2×C42—832no—
2093C2×C42—832no—
2094C2×C42—831no—
2095C2×C42—834no—
2096C2×C42—834no—
2097C2×C42—832no—
2098C2×C42—831no—
2099C2×C42—832no—
2100C2×C42—831no—
2101C2×C42—832no—
2102C2×C42—832no—
2103C2×C42—834no—
2104C2×C42—832no—
2105C2×C42—831no—
2106C2×C42—832no—
2107C2×C42—831no—
2108C2×C42—831no—
2109C2×C42—832no—
2110C2×C42—831no—
2111C2×C42—831no—
2112C2×C42C22×D8312yes—
2113C2×C42C22×D8311yescharacteristic
2114C2×C42C22×D8312yes—
2115C2×C42C22×D8312yes—
2116C24—832no—
2117C24—831no—
2118#41—24no—
2119#41—24no—
2120#41—3324no—
2121#41—3328no—
2122#41—838no—
2123#41—1668no—
2124#41—1668no—
2125#41—16616no—
2126#41—1668no—
2127#41—1668no—
2128#41—1668no—
2129#41—1668no—
2130#41—16616no—
2131#41—1664no—
2132#41—1664no—
2133#41—1668no—
2134#41—1664no—
2135C2×Q8—24no—
2136C2×Q8—3324no—
2137C2×Q8—3328no—
2138C2×Q8—834no—
2139C2×Q8—834no—
2140C2×Q8—831no—
2141C2×Q8—832no—
2142C2×Q8—834no—
2143C2×Q8—834no—
2144C2×Q8—832no—
2145C2×Q8—834no—
2146C2×Q8—831no—
2147C2×Q8—832no—
2148C2×Q8—832no—
2149C2×Q8—832no—
2150C2×Q8—1668no—
2151C2×Q8—1668no—
2152C2×Q8—1668no—
2153C2×Q8—1664no—
2154C2×Q8—1668no—
2155C2×Q8—1664no—
2156C2×Q8C23×D8311yescharacteristic
2157C2×Q8C23×D8312yes—
2158C2×Q8C23×D8312yes—
2159C2×Q8C23×D8311yescharacteristic
2160C2×Q8C23×D8314yes—
2161C2×D4—832no—
2162C2×D4—834no—
2163C2×D4—832no—
2164C2×D4—832no—
2165C2×D4—832no—
2166C2×D4—834no—
2167C2×D4—832no—
2168C2×D4—832no—
2169C2×D4—832no—
2170C2×D4—832no—
2171C2×D4—832no—
2172C2×D4—831no—
2173C2×D4—832no—
2174C2×D4—834no—
2175C2×D4—832no—
2176C2×D4—831no—
2177C2×D4—1668no—
2178C2×D4—1664no—
2179C2×D4C23×D8312yes—
2180C2×D4C23×D8312yes—
2181C2×D4C23×D8311yescharacteristic
2182C2×D4C23×D8311yescharacteristic
2183C2×D4C23×D8314yes—
2184C22×C4—3324no—
2185C22×C4—3322no—
2186C22×C4—832no—
2187C22×C4—834no—
2188C22×C4—832no—
2189C22×C4—831no—
2190C22×C4—832no—
2191C22×C4—831no—
2192C22×C4—834no—
2193C22×C4—834no—
2194C22×C4—834no—
2195C22×C4—832no—
2196C22×C4—832no—
2197C22×C4—831no—
2198C22×C4—831no—
2199C22×C4—831no—
2200C22×C4—831no—
2201C22×C4—832no—
2202C22×C4—832no—
2203C22×C4—832no—
2204C22×C4—832no—
2205C22×C4—834no—
2206C22×C4—831no—
2207C22×C4—831no—
2208C22×C4—832no—
2209C22×C4—831no—
2210C22×C4—832no—
2211C22×C4—832no—
2212C22×C4—832no—
2213C22×C4—832no—
2214C22×C4—831no—
2215C22×C4—831no—
2216C22×C4—831no—
2217C22×C4—831no—
2218C22×C4—831no—
2219C22×C4—834no—
2220C22×C4—834no—
2221C22×C4—834no—
2222C22×C4—832no—
2223C22×C4—832no—
2224C22×C4—832no—
2225C22×C4—831no—
2226C22×C4—1668no—
2227C22×C4—1664no—
2228C22×C4—1668no—
2229C22×C4—1664no—
2230C22×C4C23×D8312yes—
2231C22×C4C23×D8312yes—
2232C22×C4C23×D8312yes—
2233C22×C4C23×D8311yescharacteristic
2234C22×C4C23×D8312yes—
2235C22×C4C23×D8312yes—
2236C22×C4C23×D8311yescharacteristic
2237C22×C4C23×D8312yes—
2238C22×C4C23×D8312yes—
2239C22×C4C23×D8312yes—
2240C22×C4C23×D8311yescharacteristic
2241C4⋊C4—832no—
2242C4⋊C4—831no—
2243C4⋊C4—834no—
2244C4⋊C4—832no—
2245C4⋊C4—834no—
2246C4⋊C4—832no—
2247C4⋊C4—834no—
2248C4⋊C4—832no—
2249C4⋊C4—834no—
2250C4⋊C4—834no—
2251C4⋊C4—832no—
2252C4⋊C4—832no—
2253C4⋊C4—831no—
2254C4⋊C4—834no—
2255C4⋊C4—832no—
2256C4⋊C4—834no—
2257C4⋊C4—834no—
2258C4⋊C4—834no—
2259C4⋊C4—834no—
2260C4⋊C4—832no—
2261C4⋊C4—834no—
2262C4⋊C4—834no—
2263C4⋊C4—834no—
2264C4⋊C4—832no—
2265C4⋊C4—832no—
2266C4⋊C4—831no—
2267C4⋊C4—832no—
2268C4⋊C4—832no—
2269C4⋊C4—832no—
2270C4⋊C4—832no—
2271C4⋊C4—832no—
2272C4⋊C4—832no—
2273C4⋊C4—834no—
2274C4⋊C4—834no—
2275C4⋊C4—834no—
2276C4⋊C4—834no—
2277C4⋊C4—834no—
2278C4⋊C4—834no—
2279C4⋊C4—834no—
2280C4⋊C4—834no—
2281C4⋊C4—834no—
2282C4⋊C4—834no—
2283C4⋊C4—832no—
2284C4⋊C4—831no—
2285C4⋊C4—834no—
2286C4⋊C4—832no—
2287C4⋊C4—834no—
2288C4⋊C4—834no—
2289C4⋊C4—832no—
2290C4⋊C4—832no—
2291C4⋊C4—832no—
2292C4⋊C4—834no—
2293C4⋊C4—832no—
2294C4⋊C4—834no—
2295C4⋊C4—832no—
2296C4⋊C4—832no—
2297C4⋊C4C23×D8311yescharacteristic
2298C4⋊C4C23×D8312yes—
2299C4⋊C4C23×D8312yes—
2300C4⋊C4C23×D8312yes—
2301C4⋊C4C23×D8314yes—
2302C4⋊C4C23×D8314yes—
2303C4⋊C4C23×D8312yes—
2304C4⋊C4C23×D8311yescharacteristic
2305C4⋊C4C23×D8311yescharacteristic
2306C4⋊C4C23×D8312yes—
2307C4⋊C4C23×D8314yes—
2308C4⋊C4C23×D8314yes—
2309C4⋊C4C23×D8314yes—
2310C4⋊C4C23×D8314yes—
2311C4⋊C4C23×D8314yes—
2312C4⋊C4C23×D8311yescharacteristic
2313C4⋊C4C23×D8312yes—
2314C4⋊C4C23×D8314yes—
2315C4⋊C4C23×D8314yes—
2316C4⋊C4C23×D8314yes—
2317C22⋊C4—832no—
2318C22⋊C4—832no—
2319C22⋊C4—832no—
2320C22⋊C4—834no—
2321C22⋊C4—834no—
2322C22⋊C4—832no—
2323C22⋊C4—832no—
2324C22⋊C4—834no—
2325C22⋊C4—834no—
2326C22⋊C4—832no—
2327C22⋊C4—832no—
2328C22⋊C4—832no—
2329C22⋊C4—834no—
2330C22⋊C4—832no—
2331C22⋊C4—834no—
2332C22⋊C4—832no—
2333C22⋊C4—832no—
2334C22⋊C4—832no—
2335C22⋊C4—832no—
2336C22⋊C4—832no—
2337C22⋊C4—832no—
2338C22⋊C4—832no—
2339C22⋊C4—834no—
2340C22⋊C4—834no—
2341C22⋊C4—834no—
2342C22⋊C4—834no—
2343C22⋊C4—832no—
2344C22⋊C4—832no—
2345C22⋊C4—834no—
2346C22⋊C4—832no—
2347C22⋊C4—832no—
2348C22⋊C4—832no—
2349C22⋊C4—834no—
2350C22⋊C4—832no—
2351C22⋊C4—832no—
2352C22⋊C4—834no—
2353C22⋊C4—832no—
2354C22⋊C4—834no—
2355C22⋊C4C23×D8312yes—
2356C22⋊C4C23×D8312yes—
2357C22⋊C4C23×D8312yes—
2358C22⋊C4C23×D8314yes—
2359C22⋊C4C23×D8314yes—
2360C22⋊C4C23×D8312yes—
2361C22⋊C4C23×D8312yes—
2362C22⋊C4C23×D8312yes—
2363C22⋊C4C23×D8314yes—
2364C22⋊C4C23×D8314yes—
2365C22⋊C4C23×D8314yes—
2366C22⋊C4C23×D8314yes—
2367C42—831no—
2368C42—831no—
2369C42—832no—
2370C42—831no—
2371C42—832no—
2372C42—832no—
2373C42—832no—
2374C42—831no—
2375C42—831no—
2376C42—832no—
2377C42—831no—
2378C42—832no—
2379C42—831no—
2380C42—832no—
2381C42—831no—
2382C42—832no—
2383C42—831no—
2384C42—831no—
2385C42—834no—
2386C42—834no—
2387C42—832no—
2388C42—834no—
2389C42—834no—
2390C42—834no—
2391C42—834no—
2392C42—834no—
2393C42—834no—
2394C42—834no—
2395C42—832no—
2396C42—831no—
2397C42—832no—
2398C42—831no—
2399C42—834no—
2400C42—832no—
2401C42C23×D8311yescharacteristic
2402C42C23×D8311yescharacteristic
2403C42C23×D8312yes—
2404C42C23×D8312yes—
2405C42C23×D8312yes—
2406C42C23×D8314yes—
2407C42C23×D8312yes—
2408C42C23×D8311yescharacteristic
2409C42C23×D8311yescharacteristic
2410C42C23×D8312yes—
2411C42C23×D8312yes—
2412C42C23×D8314yes—
2413C23—3321no—
2414C23—3322no—
2415C23—831no—
2416C23—832no—
2417C23—831no—
2418C23—832no—
2419C23—1664no—
2420C23—1662no—
2421C23—1664no—
2422C23—1662no—
2423C23C24×D8312yes—
2424C23C24×D8312yes—
2425C23C24×D8311yescharacteristic
2426Q8—24no—
2427Q8—24no—
2428Q8—22no—
2429Q8—22no—
2430Q8—44no—
2431Q8—3324no—
2432Q8—3324no—
2433Q8—834no—
2434Q8—1668no—
2435Q8—1664no—
2436Q8—1668no—
2437Q8—1668no—
2438Q8—1664no—
2439Q8—1664no—
2440Q8—1662no—
2441Q8—1664no—
2442Q8—1664no—
2443D4—24no—
2444D4—24no—
2445D4—22no—
2446D4—22no—
2447D4—44no—
2448D4—3322no—
2449D4—3322no—
2450D4—3324no—
2451D4—838no—
2452D4—834no—
2453D4—1664no—
2454D4—1668no—
2455D4—1664no—
2456D4—1664no—
2457D4—1664no—
2458D4—1664no—
2459D4—1664no—
2460D4—1668no—
2461D4—1664no—
2462D4—1664no—
2463D4—1662no—
2464C2×C4—24no—
2465C2×C4—24no—
2466C2×C4—24no—
2467C2×C4—22no—
2468C2×C4—24no—
2469C2×C4—24no—
2470C2×C4—41no—
2471C2×C4—42no—
2472C2×C4—42no—
2473C2×C4—42no—
2474C2×C4—3322no—
2475C2×C4—3321no—
2476C2×C4—3321no—
2477C2×C4—3322no—
2478C2×C4—3324no—
2479C2×C4—3324no—
2480C2×C4—3322no—
2481C2×C4—3324no—
2482C2×C4—3322no—
2483C2×C4—3324no—
2484C2×C4—831no—
2485C2×C4—832no—
2486C2×C4—831no—
2487C2×C4—838no—
2488C2×C4—834no—
2489C2×C4—832no—
2490C2×C4—831no—
2491C2×C4—832no—
2492C2×C4—832no—
2493C2×C4—831no—
2494C2×C4—831no—
2495C2×C4—832no—
2496C2×C4—834no—
2497C2×C4—832no—
2498C2×C4—834no—
2499C2×C4—831no—
2500C2×C4—1662no—
2501C2×C4—1664no—
2502C2×C4—1662no—
2503C2×C4—1664no—
2504C2×C4—1662no—
2505C2×C4—1664no—
2506C2×C4—1668no—
2507C2×C4—1664no—
2508C2×C4—1662no—
2509C2×C4—1664no—
2510C2×C4—1668no—
2511C2×C4—1668no—
2512C2×C4—1662no—
2513C2×C4—1664no—
2514C2×C4—1664no—
2515C2×C4—1662no—
2516C2×C4—1664no—
2517C2×C4—1668no—
2518C2×C4—1662no—
2519C2×C4—1664no—
2520C2×C4—1662no—
2521C2×C4—1662no—
2522C2×C4—1662no—
2523C2×C4—1662no—
2524C2×C4—1664no—
2525C2×C4—1662no—
2526C2×C4—1664no—
2527C2×C4—1664no—
2528C2×C4#41×D8314yes—
2529C2×C4C24×D8311yescharacteristic
2530C2×C4C24×D8311yescharacteristic
2531C2×C4C24×D8311yescharacteristic
2532C2×C4C24×D8312yes—
2533C2×C4C24×D8312yes—
2534C2×C4C24×D8312yes—
2535C2×C4C24×D8312yes—
2536C2×C4C24×D8314yes—
2537C2×C4C24×D8314yes—
2538C2×C4C24×D8312yes—
2539C2×C4C24×D8312yes—
2540C2×C4C24×D8311yescharacteristic
2541C2×C4C24×D8311yescharacteristic
2542C2×C4C24×D8311yescharacteristic
2543C22—21no—
2544C22—21no—
2545C22—22no—
2546C22—22no—
2547C22—22no—
2548C22—22no—
2549C22—22no—
2550C22—22no—
2551C22—3324no—
2552C22—3328no—
2553C22—834no—
2554C22—832no—
2555C22—1662no—
2556C22—1661no—
2557C22—1661no—
2558C22—1662no—
2559C22—1662no—
2560C22—1661no—
2561C22—1661no—
2562C22—1662no—
2563C22—1662no—
2564C22—1661no—
2565C22C2×#41×D8312yes—
2566C22C25×D8311yescharacteristic
2567C4—22no—
2568C4—22no—
2569C4—24no—
2570C4—21no—
2571C4—22no—
2572C4—22no—
2573C4—21no—
2574C4—21no—
2575C4—24no—
2576C4—22no—
2577C4—22no—
2578C4—834no—
2579C4—832no—
2580C4—832no—
2581C4—1661no—
2582C4—1661no—
2583C4—1662no—
2584C4—1664no—
2585C4—1662no—
2586C4—1661no—
2587C4—1662no—
2588C4—1662no—
2589C4—1662no—
2590C4—1664no—
2591C4—1661no—
2592C4C2×#41×D8312yes—
2593C4C2×#41×D8312yes—
2594C42−1+4×D8312yes—
2595C2—22no—
2596C2—42no—
2597C2—42no—
2598C2—3321no—
2599C2—3322no—
2600C2—1662no—
2601C2—1664no—
2602C2C22×#41×D8311yescharacteristic
2603C2C2×2−1+4×D8311yescharacteristic
2604C2#585×D8311yescharacteristic
subgroupG/H
centerC2×C4C24×D83
commutator, socle, cosocleC22×C83C26
FrattiniC22C25×D83
FittingC83×#3461C2
hypercenter#3461D83
hypocenterC83#62805
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C2×C4 ◁ #3461

Complements

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

NH ≅ G/Ntype
1. #24921555C2semidirect
2. #24921510C2semidirect
3. #24921504C2semidirect
4. #24921476C2semidirect
5. #24921439C2semidirect
6. #24921433C2semidirect
7. #24921372C2semidirect
8. #24921368C2semidirect
9. #24921348C2semidirect
10. #24921345C2semidirect
11. #24921278C2semidirect
12. #24921245C2semidirect
13. #24921218C2semidirect
14. #24921213C2semidirect
15. #24921212C2semidirect
16. #24921207C2semidirect
17. #24921141C2semidirect
18. #24921138C2semidirect
19. #24921081C2semidirect
20. #24921076C2semidirect
21. #24921076C2semidirect
22. #24921041C2semidirect
23. #24921019C2semidirect
24. #24921015C2semidirect
25. #24920894C2semidirect
26. #24920890C2semidirect
27. #24920888C2semidirect
28. #24920757C2semidirect
29. #24920756C2semidirect
30. C2×#19128255C2semidirect
31. #533×D83C2semidirect
32. C4×#14581840C2semidirect
33. C4×#14581839C2semidirect
34. C4×#41×D83C2semidirect
35. C83×#3461C2semidirect
39. #19128431C22semidirect
40. #19128428C22semidirect
41. #19128428C22semidirect
42. #19128428C22semidirect
43. #19128426C22semidirect
44. #19128426C22semidirect
45. #19128425C22semidirect
46. #19128422C22semidirect
47. #19128422C22semidirect
48. #19128420C22semidirect
49. #19128420C22semidirect
50. #19128420C22semidirect
51. #19128418C22semidirect
52. #19128418C22semidirect
53. #19128418C22semidirect
54. #19128418C22semidirect
55. #19128415C22semidirect
56. #19128413C22semidirect
59. #19128409C22semidirect
61. #19128407C22semidirect
63. #19128405C22semidirect
64. #19128405C22semidirect
65. #19128402C22semidirect
66. #19128396C22semidirect
67. #19128394C22semidirect
68. #19128393C22semidirect
69. #19128393C22semidirect
71. #19128389C22semidirect
72. #19128389C22semidirect
73. #19128388C22semidirect
74. #19128388C22semidirect
75. #19128388C22semidirect
76. #19128388C22semidirect
78. #19128387C22semidirect
79. #19128387C22semidirect
80. #19128387C22semidirect
81. #19128387C22semidirect
83. #19128385C22semidirect
85. #19128383C22semidirect
86. #19128383C22semidirect
87. #19128383C22semidirect
95. #19128366C22semidirect
97. #19128364C22semidirect
98. #19128364C22semidirect
99. #19128364C22semidirect
100. #19128361C22semidirect
102. #19128359C22semidirect
104. #19128357C22semidirect
107. #19128353C22semidirect
108. #19128353C22semidirect
110. #19128351C22semidirect
112. #19128349C22semidirect
113. #19128349C22semidirect
114. #19128349C22semidirect
119. #19128331C22semidirect
120. #19128329C22semidirect
121. #19128328C22semidirect
122. #19128325C22semidirect
123. #19128324C22semidirect
124. #19128322C22semidirect
125. #19128321C22semidirect
126. #19128320C22semidirect
127. #19128319C22semidirect
128. #19128318C22semidirect
129. #19128316C22semidirect
130. #19128314C22semidirect
131. #19128313C22semidirect
132. #19128312C22semidirect
133. #19128311C22semidirect
134. #19128311C22semidirect
135. #19128310C22semidirect
136. #19128309C22semidirect
137. #19128308C22semidirect
138. #19128299C22semidirect
139. #19128297C22semidirect
140. #19128294C22semidirect
141. #19128293C22semidirect
142. #19128292C22semidirect
146. #19128277C22semidirect
147. #19128276C22semidirect
151. #19128271C22semidirect
152. #19128258C22semidirect
154. #19128257C22semidirect
163. #19128255C22semidirect
164. #19128255C22semidirect
165. #19128255C22semidirect
166. #19128255C22semidirect
167. #19128255C22semidirect
168. #19128255C22semidirect
169. #19128255C22semidirect
170. #19128254C22semidirect
171. #19128254C22semidirect
172. #19128254C22semidirect
173. #19128253C22semidirect
174. #19128253C22semidirect
175. #19128253C22semidirect
176. #19128253C22semidirect
177. #19128250C22semidirect
179. #19128248C22semidirect
180. #19128247C22semidirect
181. #19128246C22semidirect
182. C2×#14581791C22semidirect
183. C2×#14581790C22semidirect
184. C4⋊Q8×D83C22semidirect
185. C4⋊Q8×D83C22semidirect
187. #19128238C22semidirect
188. #19128238C22semidirect
190. #19128235C22semidirect
192. #19128234C22semidirect
194. #19128233C22semidirect
195. #19128233C22semidirect
196. #19128233C22semidirect
197. #19128231C22semidirect
198. #19128231C22semidirect
199. #19128231C22semidirect
200. #19128231C22semidirect
203. #19128229C22semidirect
204. #19128229C22semidirect
205. #19128229C22semidirect
206. #19128229C22semidirect
207. #19128229C22semidirect
208. #19128228C22semidirect
209. C2×#14581782C22semidirect
210. #125×D83C22semidirect
225. #19128184C22semidirect
226. #19128183C22semidirect
227. #19128183C22semidirect
229. #19128182C22semidirect
230. #19128182C22semidirect
232. #19128181C22semidirect
233. #19128180C22semidirect
234. #19128180C22semidirect
235. #19128179C22semidirect
236. #19128178C22semidirect
237. #19128178C22semidirect
238. #19128177C22semidirect
239. #19128177C22semidirect
240. #19128177C22semidirect
244. C4×#13050591C22semidirect
245. C4×#13050591C22semidirect
249. C4×#13050590C22semidirect
250. C4×#13050590C22semidirect
251. C4×#13050590C22semidirect
252. C4×#13050590C22semidirect
260. C4×#13050589C22semidirect
261. C4×#13050589C22semidirect
262. C4×#13050589C22semidirect
263. C2×C4×Dic166C22semidirect
264. C2×C4×Dic166C22semidirect
265. C2×C4×Dic166C22semidirect
268. C4×Q8×D83C22semidirect
269. C4×Q8×D83C22semidirect
270. C4×Q8×D83C22semidirect
271. C4×Q8×D83C22semidirect
282. #544×C83C22semidirect
283. #542×C83C22semidirect
284. #542×C83C22semidirect
285. #541×C83C22semidirect
286. #541×C83C22semidirect
287. #539×C83C22semidirect
290. #536×C83C22semidirect
291. #533×C83C22semidirect
292. #533×C83C22semidirect
293. #529×C83C22semidirect
294. #529×C83C22semidirect
295. #529×C83C22semidirect
297. C4×#41×C83C22semidirect
298. C2×C4×Q8×C83C22semidirect
824. #13050590#41semidirect
1227. C4×D832−1+4semidirect
1330. #3461D83semidirect
1338. C83#62805semidirect
1425. #544C2×D83semidirect
1434. #542C2×D83semidirect
1435. #542C2×D83semidirect
1444. #541C2×D83semidirect
1445. #541C2×D83semidirect
1451. #539C2×D83semidirect
1463. #536C2×D83semidirect
1489. #533C2×D83semidirect
1490. #533C2×D83semidirect
1523. #529C2×D83semidirect
1524. #529C2×D83semidirect
1525. #529C2×D83semidirect
1581. C4×#41C2×D83semidirect
1591. C2×C4×Q8C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249215552
#249215102
#249215042
#249214762
#249214392
#249214332
#249213722
#249213682
#249213482
#249213452
#249212782
#249212452
#249212182
#249212132
#249212122
#249212072
#249211412
#249211382
#249210812
#249210762
#249210412
#249210192
#249210152
#249208942
#249208902
#249208882
#249207572
#249207562
C2×#191282552
#533×D832
C4×#145818402
C4×#145818392
C4×#41×D832
C83×#34612
#6280583