Finite Group Databasebeta

← #36312640

Subgroups — #36312640

Order 21248.

7094 conjugacy classes of subgroups.

The subgroup lattice has 1746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921558C212yesmaximal, complemented
2#24921556C212yesmaximal, complemented
3#24921547C212yesmaximal, complemented
4#24921545C212yesmaximal, complemented
5#24921455C214yesmaximal, complemented
6#24921451C214yesmaximal, complemented
7#24921328C211yesmaximal, characteristic, complemented
8#24921319C214yesmaximal, complemented
9#24921268C211yesmaximal, characteristic, complemented
10#24921229C211yesmaximal, characteristic, complemented
11#24921168C214yesmaximal, complemented
12#24921166C212yesmaximal, complemented
13#24921112C212yesmaximal, complemented
14#24921082C214yesmaximal, complemented
15#24921077C214yesmaximal, complemented
16#24921059C212yesmaximal, complemented
17#24921055C212yesmaximal, complemented
18#24921045C212yesmaximal, complemented
19#24921042C212yesmaximal, complemented
20#24920893C214yesmaximal, complemented
21#24920887C212yesmaximal, complemented
22#24920760C211yesmaximal, characteristic, complemented
23#24920758C211yesmaximal, characteristic, complemented
24#24920757C214yesmaximal, complemented
25#24920674C212yesmaximal, complemented
26C2×C4×Q8×D83C211yesmaximal, characteristic, complemented
27C83×#3507C211yesmaximal, characteristic, complemented
28C2×#14581839C2212yes—
29C22×Q8×D83C2211yescharacteristic
30#19128436C2212yescomplemented
31#19128434C2214yescomplemented
32#19128433C2214yescomplemented
33Q8×Dic166C2212yescomplemented
34#19128431C2212yescomplemented
35#19128429C2214yescomplemented
36#19128429C2212yescomplemented
37#19128429C2212yescomplemented
38#19128428C2214yescomplemented
39#19128428C2214yescomplemented
40#19128427C2214yescomplemented
41#19128426C2212yescomplemented
42#19128424C2212yescomplemented
43#19128423C2214yescomplemented
44#19128423C2214yescomplemented
45#19128420C2214yescomplemented
46#19128419C2218yescomplemented
47#19128418C2218yescomplemented
48#19128411C2214yes—
49#19128411C2212yescomplemented
50#19128410C2214yescomplemented
51#19128407C2218yes—
52#19128407C2214yescomplemented
53#19128406C2214yes—
54#19128405C2218yes—
55#19128402C2218yes—
56#19128401C2214yes—
57#19128396C2218yes—
58#19128395C2214yes—
59#19128392C2214yes—
60#19128392C2214yescomplemented
61#19128390C2214yes—
62#19128387C2218yes—
63#19128387C2218yescomplemented
64#19128384C2218yescomplemented
65#19128383C2218yes—
66#19128372C2212yescomplemented
67#19128371C2212yescomplemented
68D4×Dic166C2212yescomplemented
69#19128366C2214yes—
70#19128366C2214yes—
71#19128366C2212yescomplemented
72#19128364C2214yes—
73#19128364C2214yes—
74#19128361C2214yes—
75#19128361C2214yes—
76#19128360C2214yescomplemented
77#19128359C2214yes—
78#19128359C2214yes—
79#19128359C2214yescomplemented
80#19128356C2214yes—
81#19128353C2218yes—
82#19128352C2214yes—
83#19128349C2218yes—
84#19128330C2214yes—
85#19128329C2212yes—
86#19128324C2214yescomplemented
87#19128321C2218yescomplemented
88#19128320C2214yescomplemented
89#19128319C2218yescomplemented
90#19128312C2214yescomplemented
91#19128311C2214yescomplemented
92#19128310C2218yescomplemented
93#19128308C2218yescomplemented
94#19128298C2214yes—
95#19128295C2218yes—
96#19128293C2218yes—
97#19128279C2212yes—
98#19128278C2214yes—
99#19128275C2212yes—
100#19128273C2218yes—
101#19128258C2211yescharacteristic
102#19128257C2214yes—
103#19128257C2218yescomplemented
104#19128256C2211yescharacteristic
105#19128256C2211yescharacteristic
106#19128256C2211yescharacteristic
107#19128256C2211yescharacteristic
108#19128256C2214yescomplemented
109#19128255C2214yes—
110#19128253C2214yes—
111#19128253C2214yescomplemented
112#19128253C2218yescomplemented
113#19128252C2211yescharacteristic
114#19128252C2211yescharacteristic
115#19128251C2211yescharacteristic
116#19128250C2214yes—
117#19128249C2211yescharacteristic
118#19128249C2211yescharacteristic
119#19128248C2214yes—
120#19128246C2214yes—
121#19128238C2212yes—
122#19128238C2212yes—
123#19128237C2212yes—
124#19128237C2212yes—
125#19128237C2214yescomplemented
126#19128236C2212yes—
127#19128236C2214yes—
128#19128236C2212yes—
129#19128235C2214yes—
130#19128234C2218yes—
131#19128234C2218yes—
132#19128234C2218yescomplemented
133#19128233C2212yes—
134#19128233C2212yes—
135#19128232C2212yes—
136#19128232C2212yes—
137#19128230C2212yes—
138#19128230C2214yes—
139#19128230C2212yes—
140#19128230C2214yescomplemented
141#19128229C2218yes—
142#19128228C2218yes—
143#19128228C2218yescomplemented
144#19128214C2212yes—
145#19128214C2212yes—
146#19128213C2212yes—
147#19128211C2212yes—
148#19128211C2212yes—
149#19128210C2218yes—
150#19128209C2218yes—
151#19128208C2212yes—
152#19128182C2212yes—
153#19128182C2214yescomplemented
154#19128180C2218yes—
155#19128180C2214yescomplemented
156#19128178C2212yes—
157#19128178C2214yescomplemented
158#19128177C2214yescomplemented
159#41×Dic83C2212yes—
160C4×#13050591C2214yes—
161C4×#13050591C2212yes—
162C4×#13050591C2212yes—
163#19128169C2212yes—
164#19128169C2218yes—
165#19128169C2214yescomplemented
166C4×#13050589C2218yes—
167C4×#13050589C2214yes—
168C4×#13050589C2212yes—
169C4×#13050589C2212yes—
170C4×#13050589C2214yescomplemented
171C2×Q8×Dic83C2211yescharacteristic
172C2×C4×Dic166C2211yescharacteristic
173C2×C4×Dic166C2212yes—
174C2×#14581757C2212yes—
175C2×#14581757C2211yescharacteristic
176C2×#14581757C2214yescomplemented
177C4×Q8×D83C2212yes—
178C4×Q8×D83C2212yes—
179C4×Q8×D83C2212yes—
180C4×Q8×D83C2212yes—
181C4×Q8×D83C2212yes—
182C4×Q8×D83C2212yes—
183C4×Q8×D83C2212yes—
184C4×Q8×D83C2212yes—
185C4×Q8×D83C2214yescomplemented
186C2×C4⋊C4×D83C2211yescharacteristic
187C2×C4⋊C4×D83C2212yes—
188C2×C42×D83C2212yes—
189C2×C42×D83C2211yescharacteristic
190#559×C83C2212yescomplemented
191#557×C83C2212yescomplemented
192#556×C83C2214yescomplemented
193#556×C83C2212yescomplemented
194#554×C83C2212yescomplemented
195#552×C83C2214yescomplemented
196#539×C83C2214yes—
197#536×C83C2212yes—
198#533×C83C2211yescharacteristic
199#532×C83C2211yescharacteristic
200#529×C83C2214yes—
201#520×C83C2212yes—
202C2×C4×Q8×C83C2211yescharacteristic
203#14581839—216no—
204C2×#13050591C2312yes—
205C2×#13050591C2312yes—
206C2×#13050590C2314yes—
207C2×#13050590C2312yes—
208C2×#13050590C2318yes—
209C2×#13050589C2314yes—
210C2×#13050589C2312yes—
211C2×#13050589C2318yes—
212C2×#13050589C2312yes—
213C22×Dic166C2314yes—
214C22×Dic166C2312yes—
215C22×Dic166C2311yescharacteristic
216C2×Q8×D83—28no—
217C2×Q8×D83C2312yes—
218C2×Q8×D83C2312yes—
219C2×Q8×D83C2314yes—
220C2×Q8×D83C2312yes—
221C2×Q8×D83C2312yes—
222C22×C4×D83C2311yescharacteristic
223C22×C4×D83C2311yescharacteristic
224C22×C4×D83C2312yes—
225C22×C4×D83C2312yes—
226C22×C4×D83C2311yescharacteristic
227#14581792C2314yes—
228#14581792C2311yescharacteristic
229#14581792C2311yescharacteristic
230#14581792C2311yescharacteristic
231#14581791C2314yes—
232#14581791C2318yes—
233#14581791C2318yes—
234#14581791C2318yes—
235#14581791C2314yes—
236#14581791C2314yes—
237#14581790C2318yes—
238#14581790C2314yes—
239#14581790C2314yes—
240#14581789C2311yescharacteristic
241#14581788C2314yes—
242#14581787C2318yes—
243#14581787C2318yes—
244#14581787C2318yes—
245#14581787C2314yes—
246#14581787C2314yes—
247#14581786C2318yes—
248#14581786C2318yes—
249#14581785C2318yes—
250#14581785C2314yes—
251#14581785C2318yes—
252#14581785C2314yes—
253#14581785C2318yes—
254#14581784C2314yes—
255#14581784C2318yes—
256#14581784C2312yes—
257#14581784C2314yes—
258#14581783C2314yes—
259#14581783C2318yes—
260#14581783C2312yes—
261#14581783C2312yes—
262#14581783C2312yes—
263#14581783C2312yes—
264#14581782C2318yes—
265#14581782C2318yes—
266#14581782C2318yes—
267#14581782C2318yes—
268#14581782C2318yes—
269#14581782C2318yes—
270#14581782C2318yes—
271#14581781C2312yes—
272#14581781C2314yes—
273#14581781C2312yes—
274#14581780C2312yes—
275#14581780C2314yes—
276#14581779C2312yes—
277#14581779C2312yes—
278#14581778C2318yes—
279#14581778C2318yes—
280#14581778C2318yes—
281#14581778C2318yes—
282#14581777C2318yes—
283#14581777C2314yes—
284#14581777C2318yes—
285#14581777C2314yes—
286#14581776C2318yes—
287#14581776C2314yes—
288#14581775C2318yes—
289#14581775C2318yes—
290#14581774C2318yes—
291#14581774C2318yes—
292#14581774C2314yes—
293#14581774C2318yes—
294#14581774C2314yes—
295#14581773C2314yes—
296#14581772C2318yes—
297#14581772C2312yes—
298#14581772C2312yes—
299#14581772C2312yes—
300#14581772C2312yes—
301#14581771C2312yes—
302#14581771C2318yes—
303#14581771C2314yes—
304#14581771C2312yes—
305#14581770C2318yes—
306#14581770C2318yes—
307#14581770C2318yes—
308#14581770C2318yes—
309#14581770C2318yes—
310#14581770C2318yes—
311#14581770C2318yes—
312#14581770C2318yes—
313#14581769C2318yes—
314#14581769C2318yes—
315#14581769C2318yes—
316#14581769C2318yes—
317#14581769C2318yes—
318#14581768C2314yes—
319#14581768C2314yes—
320#14581768C2314yes—
321#14581768C2312yes—
322#14581768C2312yes—
323#14581768C2312yes—
324#14581768C2312yes—
325#14581767C2312yes—
326#14581767C2312yes—
327#14581767C2312yes—
328#14581767C2312yes—
329#14581766C2314yes—
330#14581766C2312yes—
331#14581766C2312yes—
332#14581765C2318yes—
333#14581765C2318yes—
334#14581765C2318yes—
335#14581765C2318yes—
336#14581764C2318yes—
337#14581764C2318yes—
338#14581763C2314yes—
339#14581763C2312yes—
340#14581763C2312yes—
341#14581763C2312yes—
342#14581763C2312yes—
343#14581762C2314yes—
344#14581760C2314yes—
345Q8×Dic83C2312yes—
346Q8×Dic83C2312yes—
347Q8×Dic83C2312yes—
348Q8×Dic83C2312yes—
349Q8×Dic83C2312yes—
350Q8×Dic83C2312yes—
351Q8×Dic83C2314yes—
352Q8×Dic83C2312yes—
353Q8×Dic83C2312yes—
354C4×Dic166C2314yes—
355C4×Dic166C2314yes—
356C4×Dic166C2312yes—
357C4×Dic166C2312yes—
358C4×Dic166C2312yes—
359C4×Dic166C2312yes—
360C4×Dic166C2314yes—
361C4×Dic166C2318yes—
362C4×Dic166C2314yes—
363C4×Dic166C2314yes—
364C4×Dic166C2314yes—
365C4×Dic166C2314yes—
366C4×Dic166C2312yes—
367C4×Dic166C2312yes—
368C4×Dic166C2318yes—
369#14581757C2314yes—
370#14581757C2314yes—
371#14581757C2314yes—
372#14581757C2318yes—
373#14581757C2314yes—
374#14581757C2318yes—
375#14581757C2312yes—
376#14581757C2312yes—
377#14581757C2312yes—
378#14581757C2312yes—
379#14581757C2314yes—
380#14581757C2314yes—
381#14581757C2314yes—
382#14581757C2318yes—
383#14581757C2312yes—
384#14581757C2312yes—
385#14581757C2314yes—
386#14581757C2312yes—
387#14581757C2312yes—
388#14581757C2318yes—
389C4×D332C2314yes—
390C4×D332C2314yes—
391C4×D332C2312yes—
392C4×D332C2312yes—
393C4×D332C2318yes—
394C4×D332C2314yes—
395D4×Dic83C2312yes—
396D4×Dic83C2314yes—
397D4×Dic83C2312yes—
398D4×Dic83C2314yes—
399D4×Dic83C2312yes—
400D4×Dic83C2312yes—
401D4×Dic83C2314yes—
402#14581754C2312yes—
403#14581754C2314yes—
404#14581754C2318yes—
405#14581754C2318yes—
406#14581754C2314yes—
407#14581754C2314yes—
408#14581754C2312yes—
409#14581754C2314yes—
410#14581754C2312yes—
411#14581754C2312yes—
412C4×C22⋊D83C2318yes—
413C4×C22⋊D83C2314yes—
414C4×C22⋊D83C2318yes—
415C4×C22⋊D83C2314yes—
416C4×C22⋊D83C2318yes—
417C4×C22⋊D83C2318yes—
418(C22⋊D83)⋊C4C2318yes—
419(C22⋊D83)⋊C4C2318yes—
420(C22⋊D83)⋊C4C2318yes—
421(C22⋊D83)⋊C4C2318yes—
422(C22⋊D83)⋊C4C2314yes—
423(C22⋊D83)⋊C4C2314yes—
424(C22⋊D83)⋊C4C2318yes—
425(C22⋊D83)⋊C4C2314yes—
426(C22⋊D83)⋊C4C2314yes—
427(C22⋊D83)⋊C4C2318yes—
428#14581751C2314yes—
429#14581751C2312yes—
430#14581750C2318yes—
431#14581750C2312yes—
432#14581750C2312yes—
433#14581750C2314yes—
434#14581750C2314yes—
435#14581750C2312yes—
436#14581750C2312yes—
437#14581750C2318yes—
438#14581750C2314yes—
439#14581749C2314yes—
440#14581749C2318yes—
441#14581749C2318yes—
442#14581749C2318yes—
443#14581748C2318yes—
444#14581748C2314yes—
445#14581748C2318yes—
446#14581748C2318yes—
447#14581748C2318yes—
448#14581748C2314yes—
449C2×C4⋊Dic83C2311yescharacteristic
450C2×C4⋊Dic83C2312yes—
451C2×Dic83⋊C4C2312yes—
452C2×Dic83⋊C4C2318yes—
453C2×Dic83⋊C4C2312yes—
454C2×Dic83⋊C4C2312yes—
455C4⋊C4×D83C2314yes—
456C4⋊C4×D83C2312yes—
457C4⋊C4×D83C2314yes—
458C4⋊C4×D83C2318yes—
459C4⋊C4×D83C2312yes—
460C4⋊C4×D83C2314yes—
461C4⋊C4×D83C2312yes—
462C4⋊C4×D83C2314yes—
463C4⋊C4×D83C2312yes—
464C4⋊C4×D83C2314yes—
465C2×C4×Dic83C2312yes—
466C2×C4×Dic83C2311yescharacteristic
467C2×C4×Dic83C2311yescharacteristic
468C2×C4×Dic83C2312yes—
469C2×C4×Dic83C2311yescharacteristic
470C2×C4×Dic83C2312yes—
471C2×C4×Dic83C2318yes—
472C2×C4×Dic83C2314yes—
473C42×D83C2311yescharacteristic
474C42×D83C2311yescharacteristic
475C42×D83C2314yes—
476C42×D83C2314yes—
477C42×D83C2311yescharacteristic
478C42×D83C2311yescharacteristic
479C42×D83C2314yes—
480C42×D83C2311yescharacteristic
481C42×D83C2314yes—
482C42×D83C2311yescharacteristic
483C42×D83C2311yescharacteristic
484C42×D83C2311yescharacteristic
485C42×D83C2318yes—
486C42×D83C2314yes—
487C2×#41×C83C2312yes—
488C22×Q8×C83C2311yescharacteristic
489C4⋊Q8×C83C2314yes—
490C4⋊Q8×C83C2311yescharacteristic
491C4⋊Q8×C83C2311yescharacteristic
492C4⋊Q8×C83C2311yescharacteristic
493#127×C83C2311yescharacteristic
494#126×C83C2318yes—
495#126×C83C2318yes—
496#125×C83C2318yes—
497#125×C83C2314yes—
498#125×C83C2312yes—
499#124×C83C2314yes—
500#124×C83C2312yes—
501#124×C83C2314yes—
502#123×C83C2318yes—
503#123×C83C2318yes—
504C22⋊Q8×C83C2318yes—
505C22⋊Q8×C83C2314yes—
506C22⋊Q8×C83C2312yes—
507C22⋊Q8×C83C2314yes—
508C22⋊Q8×C83C2312yes—
509#121×C83C2312yes—
510#121×C83C2312yes—
511C4×Q8×C83C2312yes—
512C4×Q8×C83C2312yes—
513C4×Q8×C83C2312yes—
514C4×Q8×C83C2312yes—
515C4×Q8×C83C2314yes—
516C4×Q8×C83C2314yes—
517C4×Q8×C83C2312yes—
518C4×Q8×C83C2312yes—
519C4×D4×C83C2314yes—
520C4×D4×C83C2312yes—
521C4×D4×C83C2312yes—
522C4×D4×C83C2318yes—
523C4×D4×C83C2314yes—
524#117×C83C2312yes—
525#117×C83C2314yes—
526#117×C83C2318yes—
527C2×C4⋊C4×C83C2314yes—
528C2×C4⋊C4×C83C2311yescharacteristic
529C2×C4⋊C4×C83C2312yes—
530C2×C42×C83C2312yes—
531C2×C42×C83C2311yescharacteristic
532C23×D83C2411yescharacteristic
533#13050591—28no—
534#13050591—44no—
535#13050590—28no—
536#13050590—216no—
537#13050590—416no—
538#13050589—232no—
539#13050589—28no—
540#13050589—216no—
541#13050589—44no—
542C2×Dic166—28no—
543C2×Dic166—216no—
544C2×Dic166#4118yescomplemented
545C2×Dic166C2414yes—
546C2×Dic166C2414yes—
547C2×Dic166C2418yes—
548C2×Dic166C2412yes—
549C2×Dic166C2412yes—
550C2×Dic166C2418yes—
551C2×Dic166C2412yes—
552C2×Dic166C2412yes—
553C2×Dic166C2412yes—
554Q8×D83—28no—
555Q8×D83—28no—
556Q8×D83—28no—
557Q8×D83—28no—
558Q8×D83—216no—
559C2×D332C2414yes—
560C2×D332C2414yes—
561C2×D332C2412yes—
562C2×D332C2412yes—
563C2×D332C2412yes—
564C2×C22⋊D83C2414yes—
565C2×C22⋊D83C2414yes—
566C2×C22⋊D83C2414yes—
567C2×C22⋊D83C2418yes—
568C2×C22⋊D83C2418yes—
569C22×Dic83C2418yes—
570C22×Dic83C2411yescharacteristic
571C22×Dic83C2411yescharacteristic
572C22×Dic83C2414yes—
573C22×Dic83C2412yes—
574C22×Dic83C2414yes—
575C22×Dic83C2411yescharacteristic
576C22×Dic83C2412yes—
577C2×C4×D83—24no—
578C2×C4×D83—28no—
579C2×C4×D83—24no—
580C2×C4×D83—42no—
581C2×C4×D83—44no—
582C2×C4×D83C2411yescharacteristic
583C2×C4×D83C2411yescharacteristic
584C2×C4×D83C2411yescharacteristic
585C2×C4×D83C2414yes—
586C2×C4×D83C2414yes—
587C2×C4×D83C2414yes—
588C2×C4×D83C2418yes—
589C2×C4×D83C2411yescharacteristic
590C2×C4×D83C2411yescharacteristic
591C2×C4×D83C2411yescharacteristic
592C2×C4×D83C2411yescharacteristic
593C2×C4×D83C2414yes—
594C2×C4×D83C2411yescharacteristic
595C2×C4×D83C2411yescharacteristic
596C2×C4×D83C2414yes—
597C2×C4×D83C2411yescharacteristic
598C2×C4×D83C2414yes—
599C2×C4×D83C2411yescharacteristic
600C2×C4×D83C2418yes—
601C2×C4×D83C2414yes—
602C2×C4×D83C2411yescharacteristic
603C4⋊Dic83C2412yes—
604C4⋊Dic83C2412yes—
605C4⋊Dic83C2412yes—
606C4⋊Dic83C2412yes—
607C4⋊Dic83C2412yes—
608C4⋊Dic83C2412yes—
609C4⋊Dic83C2412yes—
610C4⋊Dic83C2412yes—
611C4⋊Dic83C2414yes—
612C4⋊Dic83C2414yes—
613C4⋊Dic83C2414yes—
614C4⋊Dic83C2418yes—
615C4⋊Dic83C2414yes—
616C4⋊Dic83C2414yes—
617C4⋊Dic83C2414yes—
618Dic83⋊C4C2414yes—
619Dic83⋊C4C2418yes—
620Dic83⋊C4C2414yes—
621Dic83⋊C4C2418yes—
622Dic83⋊C4C2418yes—
623Dic83⋊C4C2418yes—
624Dic83⋊C4C2418yes—
625Dic83⋊C4C2414yes—
626Dic83⋊C4C2418yes—
627Dic83⋊C4C2414yes—
628Dic83⋊C4C2414yes—
629Dic83⋊C4C2414yes—
630Dic83⋊C4C2418yes—
631Dic83⋊C4C2418yes—
632Dic83⋊C4C2414yes—
633Dic83⋊C4C2414yes—
634Dic83⋊C4C2414yes—
635Dic83⋊C4C2414yes—
636Dic83⋊C4C2414yes—
637Dic83⋊C4C2414yes—
638C22⋊Dic83C2414yes—
639C22⋊Dic83C2418yes—
640C22⋊Dic83C2414yes—
641C22⋊Dic83C2414yes—
642C22⋊Dic83C2414yes—
643C22⋊Dic83C2414yes—
644(C2×D83)⋊C4C2414yes—
645(C2×D83)⋊C4C2414yes—
646(C2×D83)⋊C4C2414yes—
647(C2×D83)⋊C4C2414yes—
648(C2×D83)⋊C4C2414yes—
649(C2×D83)⋊C4C2418yes—
650(C2×D83)⋊C4C2418yes—
651(C2×D83)⋊C4C2418yes—
652(C2×D83)⋊C4C2418yes—
653(C2×D83)⋊C4C2414yes—
654(C2×D83)⋊C4C2414yes—
655(C2×D83)⋊C4C2414yes—
656(C2×D83)⋊C4C2414yes—
657(C2×D83)⋊C4C2414yes—
658C4×Dic83C2414yes—
659C4×Dic83C2414yes—
660C4×Dic83C2418yes—
661C4×Dic83C2418yes—
662C4×Dic83C2411yescharacteristic
663C4×Dic83C2411yescharacteristic
664C4×Dic83C2411yescharacteristic
665C4×Dic83C2411yescharacteristic
666C4×Dic83C2414yes—
667C4×Dic83C2418yes—
668C4×Dic83C2414yes—
669C4×Dic83C2414yes—
670C4×Dic83C2411yescharacteristic
671C4×Dic83C2411yescharacteristic
672C4×Dic83C2414yes—
673C4×Dic83C2411yescharacteristic
674C4×Dic83C2414yes—
675C4×Dic83C2411yescharacteristic
676C4×Dic83C2411yescharacteristic
677C4×Dic83C2414yes—
678C4×Dic83C2414yes—
679C4×Dic83C2414yes—
680C4×Dic83C2411yescharacteristic
681C4×Dic83C2411yescharacteristic
682C4×Dic83C2411yescharacteristic
683C4×Dic83C2414yes—
684#41×C83—28no—
685C2×Q8×C83—24no—
686C2×Q8×C83C2412yes—
687C2×Q8×C83C2412yes—
688C2×Q8×C83C2412yes—
689C2×Q8×C83C2412yes—
690C2×Q8×C83C2412yes—
691C2×D4×C83C2414yes—
692C2×D4×C83C2412yes—
693C2×D4×C83C2412yes—
694C2×D4×C83C2412yes—
695C22×C4×C83C2411yescharacteristic
696C22×C4×C83C2414yes—
697C22×C4×C83C2412yes—
698C22×C4×C83C2411yescharacteristic
699C22×C4×C83C2418yes—
700C22×C4×C83C2412yes—
701C22×C4×C83C2411yescharacteristic
702C4⋊C4×C83C2412yes—
703C4⋊C4×C83C2412yes—
704C4⋊C4×C83C2412yes—
705C4⋊C4×C83C2412yes—
706C4⋊C4×C83C2412yes—
707C4⋊C4×C83C2418yes—
708C4⋊C4×C83C2418yes—
709C4⋊C4×C83C2418yes—
710C4⋊C4×C83C2414yes—
711C4⋊C4×C83C2412yes—
712C4⋊C4×C83C2414yes—
713C4⋊C4×C83C2414yes—
714C4⋊C4×C83C2414yes—
715C4⋊C4×C83C2412yes—
716C4⋊C4×C83C2412yes—
717C22⋊C4×C83C2414yes—
718C22⋊C4×C83C2414yes—
719C22⋊C4×C83C2418yes—
720C22⋊C4×C83C2418yes—
721C22⋊C4×C83C2418yes—
722C22⋊C4×C83C2414yes—
723C42×C83C2411yescharacteristic
724C42×C83C2414yes—
725C42×C83C2411yescharacteristic
726C42×C83C2418yes—
727C42×C83C2414yes—
728C42×C83C2414yes—
729C42×C83C2411yescharacteristic
730C42×C83C2411yescharacteristic
731C23×C83C2514yes—
732C23×C83C2511yescharacteristic
733C22×D83—22no—
734C22×D83—22no—
735C22×D83—22no—
736C22×D83C2514yes—
737C22×D83C2511yescharacteristic
738C22×D83C2511yescharacteristic
739Q8×C83—24no—
740Q8×C83—24no—
741Q8×C83—24no—
742Q8×C83—24no—
743Q8×C83—42no—
744D4×C83—28no—
745D4×C83—24no—
746D4×C83—24no—
747D4×C83—42no—
748C2×C4×C83—24no—
749C2×C4×C83—28no—
750C2×C4×C83—22no—
751C2×C4×C83—41no—
752C2×C4×C83—42no—
753C2×C4×C83—48no—
754C2×C4×C83C2×#4114yes—
755C2×C4×C83C2511yescharacteristic
756C2×C4×C83C2514yes—
757C2×C4×C83C2514yes—
758C2×C4×C83C2514yes—
759C2×C4×C83C2511yescharacteristic
760C2×C4×C83C2514yes—
761C2×C4×C83C2511yescharacteristic
762C2×C4×C83C2514yes—
763C2×C4×C83C2511yescharacteristic
764C2×C4×C83C2511yescharacteristic
765C2×C4×C83C2511yescharacteristic
766C22⋊D83—28no—
767C22⋊D83—28no—
768C22⋊D83—28no—
769C22⋊D83—216no—
770C22⋊D83—48no—
771C2×Dic83—22no—
772C2×Dic83—216no—
773C2×Dic83—22no—
774C2×Dic83—28no—
775C2×Dic83—42no—
776C2×Dic83—41no—
777C2×Dic83—44no—
778C2×Dic83C2×#4118yes—
779C2×Dic83C2511yescharacteristic
780C2×Dic83C2511yescharacteristic
781C2×Dic83C2511yescharacteristic
782C2×Dic83C2514yes—
783C2×Dic83C2511yescharacteristic
784C2×Dic83C2511yescharacteristic
785C2×Dic83C2514yes—
786C2×Dic83C2514yes—
787C2×Dic83C2514yes—
788C2×Dic83C2514yes—
789C2×Dic83C2511yescharacteristic
790D332—28no—
791D332—28no—
792D332—24no—
793D332—24no—
794D332—42no—
795C4×D83—22no—
796C4×D83—22no—
797C4×D83—28no—
798C4×D83—22no—
799C4×D83—22no—
800C4×D83—22no—
801C4×D83—22no—
802C4×D83—22no—
803C4×D83—28no—
804C4×D83—22no—
805C4×D83—28no—
806C4×D83—28no—
807C4×D83—216no—
808C4×D83—22no—
809C4×D83—28no—
810C4×D83—44no—
811C4×D83—41no—
812C4×D83—41no—
813C4×D83—48no—
814C4×D83—44no—
815C4×D832−1+414yescomplemented
816Dic166—24no—
817Dic166—24no—
818Dic166—28no—
819Dic166—28no—
820Dic166—216no—
821Dic166—42no—
822Dic166—48no—
823Dic166C2×#4118yes—
824Dic166C2×#4118yes—
825C22×C83—21no—
826C22×C83—21no—
827C22×C83—24no—
828C22×C83—24no—
829C22×C83—24no—
830C22×C83C22×#4112yes—
831C22×C83C2611yescharacteristic
832C2×D83—28no—
833C2×D83—21no—
834C2×D83—21no—
835C2×D83—21no—
836C2×D83—21no—
837C2×D83—24no—
838C2×D83—24no—
839C2×D83—24no—
840C2×D83C2×2−1+412yes—
841C2×D83#58512yes—
842C4×C83—24no—
843C4×C83—24no—
844C4×C83—21no—
845C4×C83—24no—
846C4×C83—21no—
847C4×C83—24no—
848C4×C83—24no—
849C4×C83—21no—
850C4×C83C22×#4112yes—
851C4×C83C22×#4112yes—
852C4×C83C2×2−1+412yes—
853Dic83—21no—
854Dic83—21no—
855Dic83—24no—
856Dic83—24no—
857Dic83—21no—
858Dic83—24no—
859Dic83—24no—
860Dic83—21no—
861Dic83—21no—
862Dic83C22×#4118yes—
863Dic83C2×2−1+412yes—
864#62788—831nomaximal, Sylow
865C2×C83—22no—
866C2×C83—44no—
867C2×C83C23×#4111yescharacteristic
868C2×C83C22×2−1+411yescharacteristic
869C2×C83C2×#58511yescharacteristic
870D83—22no—
871D83—22no—
872D83—44no—
873#3523—832no—
874#3523—832no—
875#3522—832no—
876#3522—832no—
877#3516—834no—
878#3516—834no—
879#3507—834no—
880#3507—831no—
881#3507D8311yescharacteristic, complemented
882#3502—831no—
883#3497—831no—
884#3492—834no—
885#3492—832no—
886#3486—832no—
887#3482—834no—
888#3482—834no—
889#3480—832no—
890#3480—832no—
891Q8×#41—832no—
892Q8×#41—832no—
893#3461—834no—
894#3461—832no—
895#3444—831no—
896#3444—831no—
897#3444—834no—
898C4×2−1+4—832no—
899C22×C4×Q8—831no—
900C83#6278811yescharacteristic, complemented, Sylow
901C2×2−1+4—832no—
902C23×Q8—831no—
903#559—834no—
904#559—832no—
905#559—834no—
906#559C2×D8312yescomplemented
907Q82—832no—
908Q82—832no—
909#557—832no—
910#557—834no—
911#557—834no—
912#557—834no—
913#557—832no—
914#557—832no—
915#557—834no—
916#557C2×D8312yescomplemented
917#556—838no—
918#556—834no—
919#556—834no—
920#556—834no—
921#556—832no—
922#556—838no—
923#556C2×D8312yescomplemented
924#556C2×D8314yescomplemented
925#554—838no—
926#554—834no—
927#554—838no—
928#554—834no—
929#554—832no—
930#554—834no—
931#554—834no—
932#554C2×D8312yescomplemented
933#553—838no—
934#553—838no—
935#553—834no—
936#553—834no—
937#552—838no—
938#552—838no—
939#552—838no—
940#552—834no—
941#552—834no—
942#552—838no—
943#552—834no—
944#552C2×D8314yescomplemented
945#550—832no—
946#550—832no—
947D4×Q8—834no—
948D4×Q8—834no—
949D4×Q8—832no—
950D4×Q8—834no—
951D4×Q8—834no—
952D4×Q8—832no—
953#548—834no—
954#548—834no—
955#548—834no—
956#548—834no—
957#548—834no—
958#548—834no—
959#547—838no—
960#547—838no—
961#547—834no—
962#547—834no—
963#544—834no—
964#544—832no—
965#542—834no—
966#542—838no—
967#542—838no—
968#542—834no—
969#541—834no—
970#541—838no—
971#541—838no—
972#541—834no—
973#539—838no—
974#539—838no—
975#539—834no—
976#539C2×D8314yes—
977#537—832no—
978#537—834no—
979#536—832no—
980#536—838no—
981#536C2×D8312yes—
982#533—831no—
983#533—831no—
984#533—831no—
985#533—831no—
986#533—834no—
987#533—834no—
988#533—838no—
989#533—834no—
990#533—834no—
991#533—838no—
992#533—834no—
993#533—831no—
994#533C2×D8311yescharacteristic
995#532—831no—
996#532—831no—
997#532—831no—
998#532—831no—
999#532—834no—
1000#532—834no—
1001#532—834no—
1002#532—831no—
1003#532C2×D8311yescharacteristic
1004#529—838no—
1005#529—838no—
1006#529—838no—
1007#529—832no—
1008#529—832no—
1009#529—834no—
1010#529—832no—
1011#529—832no—
1012#529—834no—
1013#529—834no—
1014#529—838no—
1015#529—838no—
1016#529—832no—
1017#529—832no—
1018#529—834no—
1019#529—832no—
1020#529—832no—
1021#529—832no—
1022#529—832no—
1023#529—832no—
1024#529—832no—
1025#529—838no—
1026#529—834no—
1027#529C2×D8314yes—
1028#525—832no—
1029#525—838no—
1030#525—832no—
1031#525—832no—
1032#525—832no—
1033#525—832no—
1034#525—838no—
1035#525—832no—
1036#520—838no—
1037#520—834no—
1038#520—832no—
1039#520—834no—
1040#520C2×D8312yes—
1041#519—834no—
1042#519—832no—
1043#519—834no—
1044C4×#41—832no—
1045C4×#41—834no—
1046C4×#41—832no—
1047C4×#41—832no—
1048C4×#41—838no—
1049C4×#41—834no—
1050C4×#41—834no—
1051C4×#41—832no—
1052C4×#41—832no—
1053C4×#41—832no—
1054C4×#41—834no—
1055C4×#41—838no—
1056C2×C4×Q8—831no—
1057C2×C4×Q8—832no—
1058C2×C4×Q8—832no—
1059C2×C4×Q8—832no—
1060C2×C4×Q8—832no—
1061C2×C4×Q8—832no—
1062C2×C4×Q8—832no—
1063C2×C4×Q8—832no—
1064C2×C4×Q8—832no—
1065C2×C4×Q8—834no—
1066C2×C4×Q8—831no—
1067C2×C4×Q8—832no—
1068C2×C4×Q8—834no—
1069C2×C4×Q8—831no—
1070C2×C4×Q8—832no—
1071C2×C4×Q8C2×D8311yescharacteristic
1072C22×C4⋊C4—832no—
1073C22×C4⋊C4—831no—
1074C22×C42—831no—
1075C22×C42—832no—
10762−1+4—16616no—
1077C2×#41—832no—
1078C2×#41—832no—
1079C2×#41—832no—
1080C2×#41—832no—
1081C2×#41—838no—
1082C2×#41—834no—
1083C2×#41—838no—
1084C2×#41—832no—
1085C2×#41—834no—
1086C2×#41C22×D8312yes—
1087C22×Q8—832no—
1088C22×Q8—832no—
1089C22×Q8—832no—
1090C22×Q8—832no—
1091C22×Q8—834no—
1092C22×Q8—831no—
1093C22×Q8—832no—
1094C22×Q8—834no—
1095C22×Q8—1668no—
1096C22×Q8C22×D8311yescharacteristic
1097C23×C4—831no—
1098C23×C4—832no—
1099C23×C4—832no—
1100C23×C4—831no—
1101C23×C4—831no—
1102C4⋊Q8—834no—
1103C4⋊Q8—834no—
1104C4⋊Q8—838no—
1105C4⋊Q8—834no—
1106C4⋊Q8—834no—
1107C4⋊Q8—838no—
1108C4⋊Q8—838no—
1109C4⋊Q8—838no—
1110C4⋊Q8—834no—
1111C4⋊Q8—831no—
1112C4⋊Q8—831no—
1113C4⋊Q8—831no—
1114C4⋊Q8—834no—
1115C4⋊Q8C22×D8311yescharacteristic
1116C4⋊Q8C22×D8311yescharacteristic
1117C4⋊Q8C22×D8311yescharacteristic
1118C4⋊Q8C22×D8314yes—
1119#127—834no—
1120#127—831no—
1121#127C22×D8311yescharacteristic
1122#126—834no—
1123#126—838no—
1124#126—834no—
1125#126—838no—
1126#126—838no—
1127#126—838no—
1128#126—834no—
1129#126—834no—
1130#126—838no—
1131#126—838no—
1132#126—838no—
1133#126—838no—
1134#126C22×D8318yes—
1135#126C22×D8318yes—
1136#125—838no—
1137#125—838no—
1138#125—832no—
1139#125—832no—
1140#125—832no—
1141#125—832no—
1142#125—838no—
1143#125—838no—
1144#125—834no—
1145#125—838no—
1146#125—838no—
1147#125—838no—
1148#125—838no—
1149#125—832no—
1150#125—834no—
1151#125—834no—
1152#125—838no—
1153#125C22×D8312yes—
1154#125C22×D8314yes—
1155#125C22×D8318yes—
1156#124—832no—
1157#124—832no—
1158#124—834no—
1159#124—832no—
1160#124—832no—
1161#124—838no—
1162#124—838no—
1163#124—838no—
1164#124—838no—
1165#124—832no—
1166#124—834no—
1167#124C22×D8312yes—
1168#124C22×D8314yes—
1169#124C22×D8314yes—
1170#123—834no—
1171#123—838no—
1172#123—838no—
1173#123—834no—
1174#123—834no—
1175#123—838no—
1176#123—838no—
1177#123—834no—
1178#123—834no—
1179#123—838no—
1180#123—834no—
1181#123—838no—
1182#123—838no—
1183#123—838no—
1184#123C22×D8318yes—
1185#123C22×D8318yes—
1186C22⋊Q8—832no—
1187C22⋊Q8—832no—
1188C22⋊Q8—832no—
1189C22⋊Q8—832no—
1190C22⋊Q8—834no—
1191C22⋊Q8—834no—
1192C22⋊Q8—834no—
1193C22⋊Q8—832no—
1194C22⋊Q8—832no—
1195C22⋊Q8—834no—
1196C22⋊Q8—838no—
1197C22⋊Q8—838no—
1198C22⋊Q8—838no—
1199C22⋊Q8—838no—
1200C22⋊Q8—838no—
1201C22⋊Q8—838no—
1202C22⋊Q8—838no—
1203C22⋊Q8—838no—
1204C22⋊Q8—838no—
1205C22⋊Q8—832no—
1206C22⋊Q8—832no—
1207C22⋊Q8—832no—
1208C22⋊Q8—832no—
1209C22⋊Q8—838no—
1210C22⋊Q8—838no—
1211C22⋊Q8—838no—
1212C22⋊Q8—838no—
1213C22⋊Q8—838no—
1214C22⋊Q8—838no—
1215C22⋊Q8C22×D8312yes—
1216C22⋊Q8C22×D8312yes—
1217C22⋊Q8C22×D8314yes—
1218C22⋊Q8C22×D8314yes—
1219C22⋊Q8C22×D8318yes—
1220#121—832no—
1221#121—832no—
1222#121—832no—
1223#121—832no—
1224#121—834no—
1225#121—838no—
1226#121—838no—
1227#121—832no—
1228#121—832no—
1229#121—834no—
1230#121—832no—
1231#121—832no—
1232#121—832no—
1233#121—832no—
1234#121—838no—
1235#121—838no—
1236#121—838no—
1237#121—838no—
1238#121C22×D8312yes—
1239#121C22×D8312yes—
1240#120—834no—
1241#120—834no—
1242C4×Q8—832no—
1243C4×Q8—832no—
1244C4×Q8—832no—
1245C4×Q8—832no—
1246C4×Q8—832no—
1247C4×Q8—832no—
1248C4×Q8—832no—
1249C4×Q8—832no—
1250C4×Q8—834no—
1251C4×Q8—832no—
1252C4×Q8—832no—
1253C4×Q8—832no—
1254C4×Q8—832no—
1255C4×Q8—834no—
1256C4×Q8—834no—
1257C4×Q8—834no—
1258C4×Q8—834no—
1259C4×Q8—838no—
1260C4×Q8—832no—
1261C4×Q8—834no—
1262C4×Q8—838no—
1263C4×Q8—834no—
1264C4×Q8—832no—
1265C4×Q8—834no—
1266C4×Q8—838no—
1267C4×Q8—832no—
1268C4×Q8—832no—
1269C4×Q8—838no—
1270C4×Q8—834no—
1271C4×Q8—832no—
1272C4×Q8—832no—
1273C4×Q8—832no—
1274C4×Q8—832no—
1275C4×Q8—834no—
1276C4×Q8—834no—
1277C4×Q8—834no—
1278C4×Q8—834no—
1279C4×Q8—834no—
1280C4×Q8—838no—
1281C4×Q8—838no—
1282C4×Q8—834no—
1283C4×Q8—834no—
1284C4×Q8—832no—
1285C4×Q8—832no—
1286C4×Q8C22×D8312yes—
1287C4×Q8C22×D8312yes—
1288C4×Q8C22×D8312yes—
1289C4×Q8C22×D8312yes—
1290C4×Q8C22×D8314yes—
1291C4×Q8C22×D8312yes—
1292C4×Q8C22×D8312yes—
1293C4×Q8C22×D8314yes—
1294C4×D4—834no—
1295C4×D4—832no—
1296C4×D4—834no—
1297C4×D4—832no—
1298C4×D4—832no—
1299C4×D4—834no—
1300C4×D4—832no—
1301C4×D4—838no—
1302C4×D4—838no—
1303C4×D4—838no—
1304C4×D4—834no—
1305C4×D4—834no—
1306C4×D4—838no—
1307C4×D4—834no—
1308C4×D4—832no—
1309C4×D4—832no—
1310C4×D4—834no—
1311C4×D4—838no—
1312C4×D4—838no—
1313C4×D4—834no—
1314C4×D4—832no—
1315C4×D4—834no—
1316C4×D4—832no—
1317C4×D4—834no—
1318C4×D4—834no—
1319C4×D4—838no—
1320C4×D4—834no—
1321C4×D4—838no—
1322C4×D4—838no—
1323C4×D4—838no—
1324C4×D4—834no—
1325C4×D4—838no—
1326C4×D4—838no—
1327C4×D4—834no—
1328C4×D4—834no—
1329C4×D4—838no—
1330C4×D4—832no—
1331C4×D4—832no—
1332C4×D4—834no—
1333C4×D4C22×D8318yes—
1334C4×D4C22×D8314yes—
1335C4×D4C22×D8312yes—
1336C4×D4C22×D8312yes—
1337C4×D4C22×D8314yes—
1338#117—832no—
1339#117—834no—
1340#117—832no—
1341#117—832no—
1342#117—838no—
1343#117—834no—
1344#117—832no—
1345#117—832no—
1346#117—834no—
1347#117—838no—
1348#117—834no—
1349#117—838no—
1350#117—838no—
1351#117—838no—
1352#117—838no—
1353#117—834no—
1354#117—834no—
1355#117—834no—
1356#117—838no—
1357#117—838no—
1358#117—838no—
1359#117C22×D8312yes—
1360#117C22×D8314yes—
1361#117C22×D8318yes—
1362C2×C4⋊C4—832no—
1363C2×C4⋊C4—832no—
1364C2×C4⋊C4—831no—
1365C2×C4⋊C4—832no—
1366C2×C4⋊C4—832no—
1367C2×C4⋊C4—838no—
1368C2×C4⋊C4—834no—
1369C2×C4⋊C4—834no—
1370C2×C4⋊C4—832no—
1371C2×C4⋊C4—832no—
1372C2×C4⋊C4—834no—
1373C2×C4⋊C4—834no—
1374C2×C4⋊C4—832no—
1375C2×C4⋊C4—832no—
1376C2×C4⋊C4—838no—
1377C2×C4⋊C4—834no—
1378C2×C4⋊C4C22×D8311yescharacteristic
1379C2×C4⋊C4C22×D8312yes—
1380C2×C4⋊C4C22×D8314yes—
1381C2×C42—831no—
1382C2×C42—832no—
1383C2×C42—832no—
1384C2×C42—831no—
1385C2×C42—831no—
1386C2×C42—832no—
1387C2×C42—834no—
1388C2×C42—838no—
1389C2×C42—831no—
1390C2×C42—831no—
1391C2×C42—834no—
1392C2×C42—831no—
1393C2×C42—831no—
1394C2×C42—834no—
1395C2×C42—831no—
1396C2×C42—831no—
1397C2×C42—834no—
1398C2×C42—831no—
1399C2×C42—831no—
1400C2×C42—834no—
1401C2×C42—834no—
1402C2×C42—838no—
1403C2×C42C22×D8312yes—
1404C2×C42C22×D8311yescharacteristic
1405C24—831no—
1406#41—28no—
1407#41—33216no—
1408#41—3324no—
1409#41—3324no—
1410#41—16616no—
1411#41—16632no—
1412#41—1668no—
1413#41—1668no—
1414#41—16616no—
1415#41—1668no—
1416C2×Q8—24no—
1417C2×Q8—838no—
1418C2×Q8—832no—
1419C2×Q8—838no—
1420C2×Q8—832no—
1421C2×Q8—832no—
1422C2×Q8—832no—
1423C2×Q8—834no—
1424C2×Q8—834no—
1425C2×Q8—838no—
1426C2×Q8—832no—
1427C2×Q8—1668no—
1428C2×Q8—16616no—
1429C2×Q8—1668no—
1430C2×Q8—1668no—
1431C2×Q8—1668no—
1432C2×Q8—1668no—
1433C2×Q8—16616no—
1434C2×Q8C23×D8312yes—
1435C2×Q8C23×D8312yes—
1436C2×Q8C23×D8312yes—
1437C2×Q8C23×D8312yes—
1438C2×Q8C23×D8312yes—
1439C2×D4—838no—
1440C2×D4—834no—
1441C2×D4—834no—
1442C2×D4—834no—
1443C2×D4—838no—
1444C2×D4—832no—
1445C2×D4—834no—
1446C2×D4—832no—
1447C2×D4—834no—
1448C2×D4—832no—
1449C2×D4C23×D8312yes—
1450C2×D4C23×D8314yes—
1451C2×D4C23×D8312yes—
1452C2×D4C23×D8312yes—
1453C22×C4—3324no—
1454C22×C4—3322no—
1455C22×C4—831no—
1456C22×C4—832no—
1457C22×C4—834no—
1458C22×C4—831no—
1459C22×C4—831no—
1460C22×C4—834no—
1461C22×C4—834no—
1462C22×C4—838no—
1463C22×C4—832no—
1464C22×C4—831no—
1465C22×C4—831no—
1466C22×C4—834no—
1467C22×C4—831no—
1468C22×C4—838no—
1469C22×C4—831no—
1470C22×C4—831no—
1471C22×C4—831no—
1472C22×C4—834no—
1473C22×C4—831no—
1474C22×C4—831no—
1475C22×C4—834no—
1476C22×C4—834no—
1477C22×C4—834no—
1478C22×C4—831no—
1479C22×C4—831no—
1480C22×C4—831no—
1481C22×C4—831no—
1482C22×C4—838no—
1483C22×C4—834no—
1484C22×C4—1668no—
1485C22×C4—1664no—
1486C22×C4—1664no—
1487C22×C4C23×D8311yescharacteristic
1488C22×C4C23×D8312yes—
1489C22×C4C23×D8314yes—
1490C22×C4C23×D8312yes—
1491C22×C4C23×D8311yescharacteristic
1492C22×C4C23×D8318yes—
1493C22×C4C23×D8311yescharacteristic
1494C4⋊C4—834no—
1495C4⋊C4—834no—
1496C4⋊C4—834no—
1497C4⋊C4—834no—
1498C4⋊C4—832no—
1499C4⋊C4—832no—
1500C4⋊C4—834no—
1501C4⋊C4—834no—
1502C4⋊C4—834no—
1503C4⋊C4—834no—
1504C4⋊C4—838no—
1505C4⋊C4—832no—
1506C4⋊C4—834no—
1507C4⋊C4—838no—
1508C4⋊C4—834no—
1509C4⋊C4—838no—
1510C4⋊C4—832no—
1511C4⋊C4—834no—
1512C4⋊C4—834no—
1513C4⋊C4—834no—
1514C4⋊C4—832no—
1515C4⋊C4—832no—
1516C4⋊C4—838no—
1517C4⋊C4—832no—
1518C4⋊C4—838no—
1519C4⋊C4—832no—
1520C4⋊C4—834no—
1521C4⋊C4—838no—
1522C4⋊C4—834no—
1523C4⋊C4—834no—
1524C4⋊C4—838no—
1525C4⋊C4—834no—
1526C4⋊C4—834no—
1527C4⋊C4—838no—
1528C4⋊C4—838no—
1529C4⋊C4C23×D8312yes—
1530C4⋊C4C23×D8312yes—
1531C4⋊C4C23×D8314yes—
1532C4⋊C4C23×D8314yes—
1533C4⋊C4C23×D8318yes—
1534C4⋊C4C23×D8312yes—
1535C4⋊C4C23×D8314yes—
1536C4⋊C4C23×D8312yes—
1537C4⋊C4C23×D8312yes—
1538C4⋊C4C23×D8312yes—
1539C4⋊C4C23×D8318yes—
1540C4⋊C4C23×D8314yes—
1541C4⋊C4C23×D8312yes—
1542C4⋊C4C23×D8312yes—
1543C4⋊C4C23×D8318yes—
1544C22⋊C4—834no—
1545C22⋊C4—834no—
1546C22⋊C4—834no—
1547C22⋊C4—838no—
1548C22⋊C4—834no—
1549C22⋊C4—834no—
1550C22⋊C4—834no—
1551C22⋊C4—834no—
1552C22⋊C4—834no—
1553C22⋊C4—838no—
1554C22⋊C4—834no—
1555C22⋊C4—834no—
1556C22⋊C4—834no—
1557C22⋊C4—834no—
1558C22⋊C4—834no—
1559C22⋊C4—838no—
1560C22⋊C4—834no—
1561C22⋊C4—838no—
1562C22⋊C4—838no—
1563C22⋊C4—834no—
1564C22⋊C4C23×D8314yes—
1565C22⋊C4C23×D8318yes—
1566C22⋊C4C23×D8314yes—
1567C22⋊C4C23×D8314yes—
1568C22⋊C4C23×D8318yes—
1569C22⋊C4C23×D8318yes—
1570C42—834no—
1571C42—831no—
1572C42—831no—
1573C42—831no—
1574C42—831no—
1575C42—834no—
1576C42—834no—
1577C42—834no—
1578C42—834no—
1579C42—831no—
1580C42—831no—
1581C42—831no—
1582C42—831no—
1583C42—834no—
1584C42—831no—
1585C42—831no—
1586C42—834no—
1587C42—831no—
1588C42—831no—
1589C42—834no—
1590C42—834no—
1591C42—834no—
1592C42—838no—
1593C42—838no—
1594C42—838no—
1595C42—834no—
1596C42C23×D8314yes—
1597C42C23×D8311yescharacteristic
1598C42C23×D8311yescharacteristic
1599C42C23×D8314yes—
1600C42C23×D8311yescharacteristic
1601C42C23×D8311yescharacteristic
1602C42C23×D8318yes—
1603C42C23×D8314yes—
1604C23—831no—
1605C23—831no—
1606C23—834no—
1607C23—1662no—
1608C23—1662no—
1609C23—1662no—
1610C23C24×D8314yes—
1611C23C24×D8311yescharacteristic
1612Q8—24no—
1613Q8—24no—
1614Q8—24no—
1615Q8—24no—
1616Q8—42no—
1617Q8—3328no—
1618Q8—3322no—
1619Q8—838no—
1620Q8—838no—
1621Q8—1668no—
1622Q8—1668no—
1623Q8—16616no—
1624Q8—1664no—
1625Q8—1664no—
1626D4—28no—
1627D4—24no—
1628D4—24no—
1629D4—42no—
1630D4—3322no—
1631D4—3328no—
1632D4—1668no—
1633D4—1668no—
1634D4—16616no—
1635D4—1668no—
1636D4—1668no—
1637D4—1668no—
1638D4—1664no—
1639D4—1664no—
1640C2×C4—24no—
1641C2×C4—28no—
1642C2×C4—22no—
1643C2×C4—42no—
1644C2×C4—41no—
1645C2×C4—48no—
1646C2×C4—3324no—
1647C2×C4—3321no—
1648C2×C4—3321no—
1649C2×C4—3328no—
1650C2×C4—3324no—
1651C2×C4—3321no—
1652C2×C4—3322no—
1653C2×C4—3324no—
1654C2×C4—838no—
1655C2×C4—831no—
1656C2×C4—834no—
1657C2×C4—834no—
1658C2×C4—831no—
1659C2×C4—831no—
1660C2×C4—831no—
1661C2×C4—834no—
1662C2×C4—831no—
1663C2×C4—831no—
1664C2×C4—834no—
1665C2×C4—834no—
1666C2×C4—834no—
1667C2×C4—1668no—
1668C2×C4—1668no—
1669C2×C4—1662no—
1670C2×C4—16616no—
1671C2×C4—1668no—
1672C2×C4—1668no—
1673C2×C4—1662no—
1674C2×C4—1662no—
1675C2×C4—1662no—
1676C2×C4—1662no—
1677C2×C4—16616no—
1678C2×C4—1668no—
1679C2×C4—1662no—
1680C2×C4—1662no—
1681C2×C4—1662no—
1682C2×C4—1662no—
1683C2×C4—1662no—
1684C2×C4—1668no—
1685C2×C4—1662no—
1686C2×C4#41×D8314yes—
1687C2×C4C24×D8311yescharacteristic
1688C2×C4C24×D8314yes—
1689C2×C4C24×D8314yes—
1690C2×C4C24×D8314yes—
1691C2×C4C24×D8314yes—
1692C2×C4C24×D8314yes—
1693C2×C4C24×D8311yescharacteristic
1694C2×C4C24×D8311yescharacteristic
1695C2×C4C24×D8311yescharacteristic
1696C2×C4C24×D8311yescharacteristic
1697C2×C4C24×D8311yescharacteristic
1698C22—21no—
1699C22—21no—
1700C22—24no—
1701C22—24no—
1702C22—24no—
1703C22—832no—
1704C22—832no—
1705C22—1668no—
1706C22—1664no—
1707C22—1664no—
1708C22—1664no—
1709C22—1661no—
1710C22—1661no—
1711C22—1661no—
1712C22—1661no—
1713C22C2×#41×D8312yes—
1714C22C25×D8311yescharacteristic
1715C4—24no—
1716C4—24no—
1717C4—21no—
1718C4—24no—
1719C4—24no—
1720C4—24no—
1721C4—21no—
1722C4—21no—
1723C4—838no—
1724C4—832no—
1725C4—1664no—
1726C4—1661no—
1727C4—1661no—
1728C4—1661no—
1729C4—1664no—
1730C4—1661no—
1731C4—1661no—
1732C4—1664no—
1733C4—1664no—
1734C4C2×#41×D8312yes—
1735C4C2×#41×D8312yes—
1736C42−1+4×D8312yes—
1737C2—22no—
1738C2—44no—
1739C2—3324no—
1740C2—1662no—
1741C2—1662no—
1742C2C22×#41×D8311yescharacteristic
1743C2C2×2−1+4×D8311yescharacteristic
1744C2#585×D8311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D83
commutator, socle, cosocleC22×C83C26
FittingC83×#3507C2
hypercenter#3507D83
hypocenterC83#62788
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C22 ◁ #3507

Complements

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

NH ≅ G/Ntype
1. #24921558C2semidirect
2. #24921556C2semidirect
3. #24921547C2semidirect
4. #24921545C2semidirect
5. #24921455C2semidirect
6. #24921451C2semidirect
7. #24921328C2semidirect
8. #24921319C2semidirect
9. #24921268C2semidirect
10. #24921229C2semidirect
11. #24921168C2semidirect
12. #24921166C2semidirect
13. #24921112C2semidirect
14. #24921082C2semidirect
15. #24921077C2semidirect
16. #24921059C2semidirect
17. #24921055C2semidirect
18. #24921045C2semidirect
19. #24921042C2semidirect
20. #24920893C2semidirect
21. #24920887C2semidirect
22. #24920760C2semidirect
23. #24920758C2semidirect
24. #24920757C2semidirect
25. #24920674C2semidirect
26. C2×C4×Q8×D83C2semidirect
27. C83×#3507C2semidirect
30. #19128436C22semidirect
31. #19128434C22semidirect
32. #19128433C22semidirect
33. Q8×Dic166C22semidirect
34. #19128431C22semidirect
35. #19128429C22semidirect
36. #19128429C22semidirect
37. #19128429C22semidirect
38. #19128428C22semidirect
39. #19128428C22semidirect
40. #19128427C22semidirect
41. #19128426C22semidirect
42. #19128424C22semidirect
43. #19128423C22semidirect
44. #19128423C22semidirect
45. #19128420C22semidirect
46. #19128419C22semidirect
47. #19128418C22semidirect
49. #19128411C22semidirect
50. #19128410C22semidirect
52. #19128407C22semidirect
60. #19128392C22semidirect
63. #19128387C22semidirect
64. #19128384C22semidirect
66. #19128372C22semidirect
67. #19128371C22semidirect
68. D4×Dic166C22semidirect
71. #19128366C22semidirect
76. #19128360C22semidirect
79. #19128359C22semidirect
86. #19128324C22semidirect
87. #19128321C22semidirect
88. #19128320C22semidirect
89. #19128319C22semidirect
90. #19128312C22semidirect
91. #19128311C22semidirect
92. #19128310C22semidirect
93. #19128308C22semidirect
103. #19128257C22semidirect
108. #19128256C22semidirect
111. #19128253C22semidirect
112. #19128253C22semidirect
125. #19128237C22semidirect
132. #19128234C22semidirect
140. #19128230C22semidirect
143. #19128228C22semidirect
153. #19128182C22semidirect
155. #19128180C22semidirect
157. #19128178C22semidirect
158. #19128177C22semidirect
165. #19128169C22semidirect
170. C4×#13050589C22semidirect
176. C2×#14581757C22semidirect
185. C4×Q8×D83C22semidirect
190. #559×C83C22semidirect
191. #557×C83C22semidirect
192. #556×C83C22semidirect
193. #556×C83C22semidirect
194. #554×C83C22semidirect
195. #552×C83C22semidirect
544. C2×Dic166#41semidirect
815. C4×D832−1+4semidirect
881. #3507D83semidirect
900. C83#62788semidirect
906. #559C2×D83semidirect
916. #557C2×D83semidirect
923. #556C2×D83semidirect
924. #556C2×D83semidirect
932. #554C2×D83semidirect
944. #552C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249215582
#249215562
#249215472
#249215452
#249214552
#249214512
#249213282
#249213192
#249212682
#249212292
#249211682
#249211662
#249211122
#249210822
#249210772
#249210592
#249210552
#249210452
#249210422
#249208932
#249208872
#249207602
#249207582
#249207572
#249206742
C2×C4×Q8×D832
C83×#35072
#6278883