Finite Group Databasebeta

← #36312632

Subgroups — #36312632

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#24921557C212yesmaximal, complemented
2#24921551C212yesmaximal, complemented
3#24921546C212yesmaximal, complemented
4#24921540C212yesmaximal, complemented
5#24921452C214yesmaximal, complemented
6#24921446C214yesmaximal, complemented
7#24921330C211yesmaximal, characteristic, complemented
8#24921325C211yesmaximal, characteristic, complemented
9#24921319C214yesmaximal, complemented
10#24921268C211yesmaximal, characteristic, complemented
11#24921229C211yesmaximal, characteristic, complemented
12#24921169C212yesmaximal, complemented
13#24921164C214yesmaximal, complemented
14#24921110C212yesmaximal, complemented
15#24921078C214yesmaximal, complemented
16#24921076C214yesmaximal, complemented
17#24921060C212yesmaximal, complemented
18#24921056C212yesmaximal, complemented
19#41×Dic166C212yesmaximal, complemented
20#24921041C212yesmaximal, complemented
21#24920892C214yesmaximal, complemented
22#24920890C212yesmaximal, complemented
23#24920759C211yesmaximal, characteristic, complemented
24#24920755C214yesmaximal, complemented
25C4×#14581839C212yesmaximal, complemented
26C22×C4×Dic166C211yesmaximal, characteristic, complemented
27C83×#3444C211yesmaximal, characteristic, complemented
28C2×#14581839C2212yes—
29C23×Dic166C2211yescharacteristic
30#19128437C2212yescomplemented
31#19128436C2212yescomplemented
32#19128434C2214yescomplemented
33#19128433C2214yescomplemented
34Q8×Dic166C2212yescomplemented
35#19128431C2212yescomplemented
36#19128430C2212yescomplemented
37#19128429C2214yescomplemented
38#19128429C2212yescomplemented
39#19128428C2214yescomplemented
40#19128428C2214yescomplemented
41#19128427C2214yescomplemented
42#19128426C2212yescomplemented
43#19128426C2212yescomplemented
44#19128425C2212yescomplemented
45#19128424C2214yescomplemented
46#19128423C2214yescomplemented
47#19128421C2212yescomplemented
48#19128420C2214yescomplemented
49#19128420C2214yescomplemented
50#19128419C2218yescomplemented
51#19128418C2218yescomplemented
52#19128412C2212yescomplemented
53#19128410C2218yes—
54#19128410C2214yescomplemented
55#19128409C2214yes—
56#19128408C2214yes—
57#19128408C2212yescomplemented
58#19128407C2214yescomplemented
59#19128405C2218yes—
60#19128403C2214yes—
61#19128400C2218yes—
62#19128397C2214yes—
63#19128394C2218yes—
64#19128393C2214yes—
65#19128391C2214yes—
66#19128391C2214yescomplemented
67#19128389C2214yescomplemented
68#19128388C2218yes—
69#19128387C2218yescomplemented
70#19128384C2218yes—
71#19128384C2218yescomplemented
72#19128372C2212yescomplemented
73#19128371C2212yescomplemented
74D4×Dic166C2214yes—
75D4×Dic166C2214yes—
76D4×Dic166C2212yescomplemented
77#19128366C2212yescomplemented
78#19128364C2214yes—
79#19128364C2214yes—
80#19128360C2214yes—
81#19128360C2214yes—
82#19128360C2214yescomplemented
83#19128359C2214yescomplemented
84#19128357C2214yes—
85#19128357C2214yes—
86#19128355C2214yes—
87#19128351C2214yes—
88#19128350C2218yes—
89#19128349C2218yes—
90#19128330C2214yes—
91#19128329C2212yes—
92#19128322C2214yescomplemented
93#19128317C2218yescomplemented
94#19128316C2214yescomplemented
95#19128315C2218yescomplemented
96#19128313C2214yescomplemented
97#19128310C2218yescomplemented
98#19128309C2214yescomplemented
99#19128308C2218yescomplemented
100#19128300C2214yes—
101#19128296C2214yes—
102#19128295C2218yes—
103#19128293C2218yes—
104#19128279C2212yes—
105#19128278C2214yes—
106#19128277C2212yes—
107#19128273C2218yes—
108#19128272C2212yes—
109#19128258C2211yescharacteristic
110#19128258C2211yescharacteristic
111#19128258C2211yescharacteristic
112#19128258C2214yescomplemented
113#19128255C2214yescomplemented
114#19128255C2218yescomplemented
115#19128254C2214yes—
116#19128254C2218yescomplemented
117#19128253C2214yes—
118#19128253C2214yes—
119#19128251C2211yescharacteristic
120#19128251C2211yescharacteristic
121#19128251C2211yescharacteristic
122#19128247C2214yes—
123#19128246C2214yes—
124#19128246C2214yes—
125#19128237C2214yes—
126#19128237C2214yes—
127#19128235C2212yes—
128#19128235C2212yes—
129#19128235C2212yes—
130#19128235C2212yes—
131#19128235C2212yes—
132#19128235C2212yes—
133#19128235C2214yescomplemented
134#19128233C2214yescomplemented
135#19128232C2214yes—
136#19128232C2214yes—
137#19128231C2218yes—
138#19128231C2218yes—
139#19128231C2218yescomplemented
140#19128229C2218yescomplemented
141#19128228C2218yes—
142#19128228C2218yes—
143#19128212C2212yes—
144#19128212C2212yes—
145#19128212C2212yes—
146#19128207C2218yes—
147#19128207C2218yes—
148#19128184C2212yes—
149#19128181C2212yes—
150#19128181C2214yescomplemented
151#19128180C2218yes—
152#19128180C2214yescomplemented
153#19128178C2212yes—
154#19128178C2214yescomplemented
155#19128177C2214yescomplemented
156#41×Dic83C2214yes—
157C4×#13050590C2212yes—
158C4×#13050590C2212yes—
159C4×#13050590C2212yes—
160C4×#13050590C2214yescomplemented
161#19128169C2214yes—
162C4×#13050589C2218yes—
163C4×#13050589C2218yes—
164C4×#13050589C2214yescomplemented
165C2×C4×Dic166C2211yescharacteristic
166C2×C4×Dic166C2212yes—
167C2×C4×Dic166C2211yescharacteristic
168C2×C4×Dic166C2212yes—
169C2×C4×Dic166C2212yes—
170C2×C4×Dic166C2211yescharacteristic
171C2×C4×Dic166C2212yes—
172C2×C4×Dic166C2212yes—
173C2×C4×Dic166C2212yes—
174C2×C4×Dic166C2212yes—
175C2×C4×Dic166C2212yes—
176C2×C4×Dic166C2211yescharacteristic
177C2×C4×Dic166C2212yes—
178C2×C4×Dic166C2212yes—
179C2×C4×Dic166C2214yescomplemented
180C4×Q8×D83C2214yescomplemented
181C22×C4⋊Dic83C2211yescharacteristic
182C22×Dic83⋊C4C2212yes—
183C22×C4×Dic83C2212yes—
184#533×C83C2211yescharacteristic
185#533×C83C2211yescharacteristic
186#533×C83C2211yescharacteristic
187#532×C83C2211yescharacteristic
188#532×C83C2211yescharacteristic
189#532×C83C2211yescharacteristic
190#529×C83C2212yes—
191#529×C83C2212yes—
192#529×C83C2212yes—
193#529×C83C2212yes—
194#529×C83C2212yes—
195#529×C83C2212yes—
196#525×C83C2212yes—
197#525×C83C2212yes—
198#525×C83C2212yes—
199C4×#41×C83C2212yes—
200C4×#41×C83C2212yes—
201C4×#41×C83C2212yes—
202C22×C42×C83C2211yescharacteristic
203#14581839—216no—
204C2×#13050590C2314yes—
205C2×#13050590C2312yes—
206C2×#13050590C2312yes—
207C2×#13050590C2312yes—
208C2×#13050589C2314yes—
209C2×#13050589C2318yes—
210C2×#13050589C2318yes—
211C22×Dic166—28no—
212C22×Dic166C2312yes—
213C22×Dic166C2312yes—
214C22×Dic166C2312yes—
215C22×Dic166C2312yes—
216C22×Dic166C2314yes—
217C22×Dic166C2311yescharacteristic
218C22×Dic166C2312yes—
219C22×Dic166C2311yescharacteristic
220C2×Q8×D83C2314yes—
221C23×Dic83C2312yes—
222C23×Dic83C2312yes—
223#14581792C2314yes—
224#14581792C2314yes—
225#14581792C2311yescharacteristic
226#14581792C2311yescharacteristic
227#14581792C2311yescharacteristic
228#14581791C2314yes—
229#14581791C2318yes—
230#14581791C2318yes—
231#14581791C2318yes—
232#14581791C2314yes—
233#14581791C2314yes—
234#14581790C2318yes—
235#14581790C2314yes—
236#14581790C2314yes—
237#14581789C2311yescharacteristic
238#14581788C2314yes—
239#14581787C2318yes—
240#14581787C2318yes—
241#14581787C2318yes—
242#14581787C2318yes—
243#14581786C2318yes—
244#14581786C2314yes—
245#14581786C2314yes—
246#14581785C2318yes—
247#14581785C2318yes—
248#14581785C2318yes—
249#14581785C2318yes—
250#14581785C2318yes—
251#14581784C2314yes—
252#14581784C2318yes—
253#14581784C2312yes—
254#14581784C2312yes—
255#14581784C2312yes—
256#14581783C2314yes—
257#14581783C2318yes—
258#14581783C2318yes—
259#14581783C2314yes—
260#14581783C2314yes—
261#14581782C2318yes—
262#14581782C2318yes—
263#14581782C2318yes—
264#14581782C2318yes—
265#14581782C2318yes—
266#14581782C2318yes—
267#14581782C2318yes—
268#14581781C2314yes—
269#14581780C2314yes—
270#14581780C2312yes—
271#14581780C2312yes—
272#14581780C2312yes—
273#14581779C2314yes—
274#14581779C2314yes—
275#14581778C2318yes—
276#14581778C2318yes—
277#14581778C2318yes—
278#14581778C2318yes—
279#14581777C2318yes—
280#14581776C2318yes—
281#14581776C2318yes—
282#14581776C2318yes—
283#14581775C2314yes—
284#14581775C2318yes—
285#14581775C2314yes—
286#14581775C2314yes—
287#14581774C2318yes—
288#14581774C2318yes—
289#14581773C2318yes—
290#14581773C2318yes—
291#14581773C2318yes—
292#14581772C2318yes—
293#14581772C2314yes—
294#14581772C2314yes—
295#14581771C2314yes—
296#14581771C2312yes—
297#14581771C2318yes—
298#14581771C2314yes—
299#14581771C2314yes—
300#14581771C2312yes—
301#14581771C2312yes—
302#14581771C2312yes—
303#14581771C2312yes—
304#14581771C2312yes—
305#14581770C2318yes—
306#14581770C2318yes—
307#14581770C2318yes—
308#14581770C2318yes—
309#14581769C2318yes—
310#14581769C2318yes—
311#14581769C2318yes—
312#14581769C2318yes—
313#14581769C2318yes—
314#14581769C2318yes—
315#14581769C2318yes—
316#14581769C2318yes—
317#14581769C2318yes—
318#14581768C2318yes—
319#14581768C2314yes—
320#14581766C2314yes—
321#14581766C2312yes—
322#14581766C2312yes—
323#14581766C2312yes—
324#14581766C2312yes—
325#14581766C2312yes—
326#14581766C2312yes—
327#14581765C2318yes—
328#14581764C2318yes—
329#14581764C2318yes—
330#14581764C2318yes—
331#14581764C2318yes—
332#14581764C2318yes—
333#14581763C2314yes—
334#14581761C2314yes—
335Q8×Dic83C2314yes—
336Q8×Dic83C2314yes—
337Q8×Dic83C2314yes—
338C4×Dic166C2312yes—
339C4×Dic166C2312yes—
340C4×Dic166C2314yes—
341C4×Dic166C2314yes—
342C4×Dic166C2312yes—
343C4×Dic166C2312yes—
344C4×Dic166C2312yes—
345C4×Dic166C2318yes—
346C4×Dic166C2314yes—
347C4×Dic166C2314yes—
348C4×Dic166C2312yes—
349C4×Dic166C2314yes—
350C4×Dic166C2312yes—
351C4×Dic166C2314yes—
352C4×Dic166C2312yes—
353C4×Dic166C2314yes—
354C4×Dic166C2312yes—
355C4×Dic166C2312yes—
356C4×Dic166C2318yes—
357C4×Dic166C2312yes—
358C4×Dic166C2312yes—
359C4×Dic166C2312yes—
360C4×Dic166C2312yes—
361C4×Dic166C2312yes—
362C4×Dic166C2314yes—
363C4×Dic166C2314yes—
364C4×Dic166C2312yes—
365C4×Dic166C2312yes—
366C4×Dic166C2314yes—
367C4×Dic166C2312yes—
368C4×Dic166C2314yes—
369C4×Dic166C2312yes—
370C4×Dic166C2318yes—
371C4×Dic166C2312yes—
372C4×Dic166C2312yes—
373C4×Dic166C2312yes—
374#14581757C2314yes—
375#14581757C2314yes—
376#14581757C2318yes—
377#14581757C2318yes—
378#14581757C2314yes—
379#14581757C2318yes—
380#14581757C2314yes—
381C4×D332C2312yes—
382C4×D332C2314yes—
383C4×D332C2312yes—
384C4×D332C2312yes—
385C4×D332C2312yes—
386C4×D332C2312yes—
387C4×D332C2312yes—
388D4×Dic83C2318yes—
389D4×Dic83C2314yes—
390D4×Dic83C2318yes—
391D4×Dic83C2314yes—
392D4×Dic83C2318yes—
393D4×Dic83C2314yes—
394D4×Dic83C2318yes—
395#14581754C2314yes—
396#14581754C2314yes—
397C4×C22⋊D83C2318yes—
398C4×C22⋊D83C2314yes—
399C4×C22⋊D83C2314yes—
400C4×C22⋊D83C2314yes—
401C4×C22⋊D83C2314yes—
402C4×C22⋊D83C2314yes—
403C4×C22⋊D83C2318yes—
404C4×C22⋊D83C2318yes—
405C4×C22⋊D83C2314yes—
406(C22⋊D83)⋊C4C2318yes—
407(C22⋊D83)⋊C4C2318yes—
408(C22⋊D83)⋊C4C2318yes—
409(C22⋊D83)⋊C4C2318yes—
410(C22⋊D83)⋊C4C2318yes—
411(C22⋊D83)⋊C4C2318yes—
412(C22⋊D83)⋊C4C2318yes—
413#14581751C2312yes—
414#14581751C2312yes—
415#14581751C2314yes—
416#14581751C2312yes—
417#14581751C2318yes—
418#14581750C2318yes—
419#14581750C2314yes—
420#14581750C2318yes—
421#14581749C2318yes—
422#14581749C2314yes—
423#14581749C2318yes—
424#14581749C2314yes—
425#14581749C2314yes—
426#14581748C2318yes—
427#14581748C2318yes—
428#14581748C2318yes—
429#14581748C2318yes—
430#14581748C2318yes—
431C2×C4⋊Dic83C2311yescharacteristic
432C2×C4⋊Dic83C2312yes—
433C2×C4⋊Dic83C2312yes—
434C2×C4⋊Dic83C2314yes—
435C2×C4⋊Dic83C2312yes—
436C2×C4⋊Dic83C2312yes—
437C2×C4⋊Dic83C2311yescharacteristic
438C2×C4⋊Dic83C2312yes—
439C2×Dic83⋊C4C2312yes—
440C2×Dic83⋊C4C2314yes—
441C2×Dic83⋊C4C2314yes—
442C2×Dic83⋊C4C2318yes—
443C2×Dic83⋊C4C2314yes—
444C2×Dic83⋊C4C2314yes—
445C2×Dic83⋊C4C2312yes—
446C2×Dic83⋊C4C2312yes—
447C2×Dic83⋊C4C2312yes—
448C4⋊C4×D83C2318yes—
449C4⋊C4×D83C2314yes—
450C2×C4×Dic83C2312yes—
451C2×C4×Dic83C2314yes—
452C2×C4×Dic83C2314yes—
453C2×C4×Dic83C2314yes—
454C2×C4×Dic83C2312yes—
455C2×C4×Dic83C2312yes—
456C2×C4×Dic83C2314yes—
457C2×C4×Dic83C2312yes—
458C2×C4×Dic83C2318yes—
459C42×D83C2318yes—
460C42×D83C2314yes—
461C2×#41×C83C2312yes—
462C2×#41×C83C2312yes—
463C2×#41×C83C2312yes—
464C23×C4×C83C2311yescharacteristic
465C23×C4×C83C2311yescharacteristic
466C23×C4×C83C2311yescharacteristic
467C4⋊Q8×C83C2311yescharacteristic
468C4⋊Q8×C83C2311yescharacteristic
469C4⋊Q8×C83C2311yescharacteristic
470#127×C83C2311yescharacteristic
471#126×C83C2314yes—
472#126×C83C2314yes—
473#125×C83C2312yes—
474#125×C83C2312yes—
475#125×C83C2312yes—
476#124×C83C2312yes—
477#124×C83C2312yes—
478#124×C83C2312yes—
479#123×C83C2314yes—
480#123×C83C2314yes—
481#123×C83C2314yes—
482C22⋊Q8×C83C2312yes—
483C22⋊Q8×C83C2312yes—
484C22⋊Q8×C83C2312yes—
485C22⋊Q8×C83C2312yes—
486C22⋊Q8×C83C2312yes—
487C22⋊Q8×C83C2312yes—
488#121×C83C2312yes—
489#121×C83C2312yes—
490#121×C83C2312yes—
491#121×C83C2312yes—
492#121×C83C2312yes—
493#121×C83C2312yes—
494#120×C83C2314yes—
495C4×Q8×C83C2312yes—
496C4×Q8×C83C2312yes—
497C4×Q8×C83C2312yes—
498C4×Q8×C83C2312yes—
499C4×Q8×C83C2312yes—
500C4×Q8×C83C2312yes—
501C4×D4×C83C2314yes—
502C4×D4×C83C2314yes—
503C4×D4×C83C2312yes—
504C4×D4×C83C2312yes—
505C4×D4×C83C2314yes—
506C4×D4×C83C2314yes—
507C4×D4×C83C2314yes—
508C4×D4×C83C2314yes—
509C4×D4×C83C2312yes—
510C4×D4×C83C2312yes—
511C4×D4×C83C2312yes—
512C4×D4×C83C2312yes—
513#117×C83C2314yes—
514#117×C83C2312yes—
515#117×C83C2312yes—
516#117×C83C2312yes—
517#117×C83C2314yes—
518#117×C83C2314yes—
519C2×C42×C83C2311yescharacteristic
520C2×C42×C83C2311yescharacteristic
521C2×C42×C83C2311yescharacteristic
522C2×C42×C83C2311yescharacteristic
523C2×C42×C83C2311yescharacteristic
524C2×C42×C83C2311yescharacteristic
525C2×C42×C83C2311yescharacteristic
526C2×C42×C83C2311yescharacteristic
527C2×C42×C83C2311yescharacteristic
528C2×C42×C83C2311yescharacteristic
529C2×C42×C83C2311yescharacteristic
530C2×C42×C83C2311yescharacteristic
531C2×C42×C83C2314yes—
532#13050590—28no—
533#13050590—28no—
534#13050590—216no—
535#13050590—44no—
536#13050589—232no—
537#13050589—216no—
538#13050589—416no—
539C2×Dic166—24no—
540C2×Dic166—28no—
541C2×Dic166—28no—
542C2×Dic166—28no—
543C2×Dic166—28no—
544C2×Dic166—28no—
545C2×Dic166—216no—
546C2×Dic166#4118yescomplemented
547C2×Dic166C2418yes—
548C2×Dic166C2414yes—
549C2×Dic166C2414yes—
550C2×Dic166C2412yes—
551C2×Dic166C2412yes—
552C2×Dic166C2412yes—
553C2×Dic166C2412yes—
554C2×Dic166C2412yes—
555C2×Dic166C2418yes—
556C2×Dic166C2412yes—
557C2×Dic166C2412yes—
558Q8×D83—216no—
559C2×D332C2412yes—
560C2×D332C2412yes—
561C2×D332C2412yes—
562C2×C22⋊D83C2414yes—
563C2×C22⋊D83C2414yes—
564C2×C22⋊D83C2414yes—
565C2×C22⋊D83C2418yes—
566C2×C22⋊D83C2418yes—
567C22×Dic83—28no—
568C22×Dic83—44no—
569C22×Dic83C2414yes—
570C22×Dic83C2414yes—
571C22×Dic83C2418yes—
572C22×Dic83C2412yes—
573C22×Dic83C2414yes—
574C22×Dic83C2412yes—
575C22×Dic83C2414yes—
576C22×Dic83C2418yes—
577C22×Dic83C2412yes—
578C22×Dic83C2412yes—
579C2×C4×D83C2414yes—
580C2×C4×D83C2418yes—
581C2×C4×D83C2414yes—
582C2×C4×D83C2418yes—
583C2×C4×D83C2414yes—
584C4⋊Dic83C2412yes—
585C4⋊Dic83C2412yes—
586C4⋊Dic83C2412yes—
587C4⋊Dic83C2412yes—
588C4⋊Dic83C2412yes—
589C4⋊Dic83C2412yes—
590C4⋊Dic83C2412yes—
591C4⋊Dic83C2412yes—
592C4⋊Dic83C2418yes—
593C4⋊Dic83C2418yes—
594C4⋊Dic83C2418yes—
595C4⋊Dic83C2414yes—
596C4⋊Dic83C2418yes—
597C4⋊Dic83C2414yes—
598C4⋊Dic83C2412yes—
599C4⋊Dic83C2412yes—
600Dic83⋊C4C2414yes—
601Dic83⋊C4C2418yes—
602Dic83⋊C4C2418yes—
603Dic83⋊C4C2418yes—
604Dic83⋊C4C2418yes—
605Dic83⋊C4C2414yes—
606Dic83⋊C4C2414yes—
607Dic83⋊C4C2418yes—
608Dic83⋊C4C2414yes—
609Dic83⋊C4C2418yes—
610Dic83⋊C4C2414yes—
611Dic83⋊C4C2414yes—
612Dic83⋊C4C2418yes—
613Dic83⋊C4C2418yes—
614Dic83⋊C4C2414yes—
615Dic83⋊C4C2414yes—
616Dic83⋊C4C2414yes—
617Dic83⋊C4C2414yes—
618Dic83⋊C4C2414yes—
619Dic83⋊C4C2414yes—
620Dic83⋊C4C2414yes—
621Dic83⋊C4C2414yes—
622C22⋊Dic83C2414yes—
623C22⋊Dic83C2414yes—
624C22⋊Dic83C2414yes—
625C22⋊Dic83C2418yes—
626C22⋊Dic83C2418yes—
627C22⋊Dic83C2418yes—
628C22⋊Dic83C2418yes—
629(C2×D83)⋊C4C2414yes—
630(C2×D83)⋊C4C2418yes—
631(C2×D83)⋊C4C2418yes—
632(C2×D83)⋊C4C2418yes—
633(C2×D83)⋊C4C2418yes—
634(C2×D83)⋊C4C2414yes—
635(C2×D83)⋊C4C2414yes—
636(C2×D83)⋊C4C2414yes—
637(C2×D83)⋊C4C2414yes—
638(C2×D83)⋊C4C2414yes—
639C4×Dic83C2414yes—
640C4×Dic83C2414yes—
641C4×Dic83C2418yes—
642C4×Dic83C2418yes—
643C4×Dic83C2414yes—
644C4×Dic83C2414yes—
645C4×Dic83C2414yes—
646C4×Dic83C2418yes—
647C4×Dic83C2418yes—
648C4×Dic83C2414yes—
649C4×Dic83C2414yes—
650C4×Dic83C2414yes—
651C4×Dic83C2414yes—
652C4×Dic83C2414yes—
653C4×Dic83C2414yes—
654C24×C83C2411yescharacteristic
655#41×C83—28no—
656#41×C83—28no—
657#41×C83—44no—
658C2×Q8×C83C2412yes—
659C2×Q8×C83C2412yes—
660C2×Q8×C83C2412yes—
661C2×D4×C83C2412yes—
662C2×D4×C83C2414yes—
663C2×D4×C83C2414yes—
664C2×D4×C83C2414yes—
665C2×D4×C83C2412yes—
666C2×D4×C83C2412yes—
667C22×C4×C83—24no—
668C22×C4×C83—24no—
669C22×C4×C83—42no—
670C22×C4×C83C2411yescharacteristic
671C22×C4×C83C2411yescharacteristic
672C22×C4×C83C2411yescharacteristic
673C22×C4×C83C2411yescharacteristic
674C22×C4×C83C2414yes—
675C22×C4×C83C2411yescharacteristic
676C22×C4×C83C2411yescharacteristic
677C22×C4×C83C2411yescharacteristic
678C22×C4×C83C2411yescharacteristic
679C22×C4×C83C2411yescharacteristic
680C22×C4×C83C2411yescharacteristic
681C22×C4×C83C2411yescharacteristic
682C22×C4×C83C2411yescharacteristic
683C22×C4×C83C2414yes—
684C22×C4×C83C2411yescharacteristic
685C22×C4×C83C2411yescharacteristic
686C22×C4×C83C2414yes—
687C22×C4×C83C2411yescharacteristic
688C22×C4×C83C2411yescharacteristic
689C22×C4×C83C2411yescharacteristic
690C22×C4×C83C2411yescharacteristic
691C4⋊C4×C83C2412yes—
692C4⋊C4×C83C2414yes—
693C4⋊C4×C83C2414yes—
694C4⋊C4×C83C2414yes—
695C4⋊C4×C83C2412yes—
696C4⋊C4×C83C2412yes—
697C4⋊C4×C83C2414yes—
698C4⋊C4×C83C2412yes—
699C4⋊C4×C83C2414yes—
700C4⋊C4×C83C2414yes—
701C4⋊C4×C83C2412yes—
702C4⋊C4×C83C2412yes—
703C22⋊C4×C83C2414yes—
704C22⋊C4×C83C2414yes—
705C22⋊C4×C83C2414yes—
706C22⋊C4×C83C2414yes—
707C22⋊C4×C83C2414yes—
708C22⋊C4×C83C2414yes—
709C22⋊C4×C83C2414yes—
710C22⋊C4×C83C2414yes—
711C22⋊C4×C83C2414yes—
712C42×C83C2411yescharacteristic
713C42×C83C2411yescharacteristic
714C42×C83C2411yescharacteristic
715C42×C83C2414yes—
716C42×C83C2414yes—
717C42×C83C2411yescharacteristic
718C42×C83C2411yescharacteristic
719C42×C83C2411yescharacteristic
720C42×C83C2411yescharacteristic
721C42×C83C2411yescharacteristic
722C42×C83C2411yescharacteristic
723C42×C83C2411yescharacteristic
724C42×C83C2411yescharacteristic
725C42×C83C2411yescharacteristic
726C42×C83C2411yescharacteristic
727C42×C83C2411yescharacteristic
728C42×C83C2411yescharacteristic
729C42×C83C2411yescharacteristic
730C42×C83C2414yes—
731C23×C83—22no—
732C23×C83—22no—
733C23×C83—22no—
734C23×C83C2514yes—
735C23×C83C2511yescharacteristic
736C23×C83C2511yescharacteristic
737C23×C83C2511yescharacteristic
738C22×D83C2514yes—
739Q8×C83—24no—
740Q8×C83—24no—
741Q8×C83—42no—
742D4×C83—28no—
743D4×C83—28no—
744D4×C83—28no—
745D4×C83—24no—
746D4×C83—24no—
747D4×C83—42no—
748C2×C4×C83—22no—
749C2×C4×C83—22no—
750C2×C4×C83—22no—
751C2×C4×C83—22no—
752C2×C4×C83—22no—
753C2×C4×C83—22no—
754C2×C4×C83—22no—
755C2×C4×C83—22no—
756C2×C4×C83—28no—
757C2×C4×C83—22no—
758C2×C4×C83—22no—
759C2×C4×C83—22no—
760C2×C4×C83—22no—
761C2×C4×C83—28no—
762C2×C4×C83—41no—
763C2×C4×C83—41no—
764C2×C4×C83—41no—
765C2×C4×C83—41no—
766C2×C4×C83—44no—
767C2×C4×C83C2×#4114yes—
768C2×C4×C832−1+414yescomplemented
769C2×C4×C83C2511yescharacteristic
770C2×C4×C83C2511yescharacteristic
771C2×C4×C83C2511yescharacteristic
772C2×C4×C83C2511yescharacteristic
773C2×C4×C83C2511yescharacteristic
774C2×C4×C83C2511yescharacteristic
775C2×C4×C83C2511yescharacteristic
776C2×C4×C83C2511yescharacteristic
777C2×C4×C83C2514yes—
778C2×C4×C83C2514yes—
779C2×C4×C83C2514yes—
780C2×C4×C83C2511yescharacteristic
781C2×C4×C83C2511yescharacteristic
782C2×C4×C83C2511yescharacteristic
783C2×C4×C83C2511yescharacteristic
784C22⋊D83—28no—
785C22⋊D83—28no—
786C22⋊D83—28no—
787C22⋊D83—216no—
788C22⋊D83—48no—
789C2×Dic83—24no—
790C2×Dic83—28no—
791C2×Dic83—28no—
792C2×Dic83—28no—
793C2×Dic83—216no—
794C2×Dic83—42no—
795C2×Dic83—44no—
796C2×Dic83—42no—
797C2×Dic83—48no—
798C2×Dic83C2×#4118yes—
799C2×Dic83C2514yes—
800C2×Dic83C2514yes—
801C2×Dic83C2514yes—
802C2×Dic83C2514yes—
803C2×Dic83C2514yes—
804C2×Dic83C2514yes—
805C2×Dic83C2514yes—
806D332—24no—
807D332—24no—
808D332—42no—
809C4×D83—28no—
810C4×D83—28no—
811C4×D83—216no—
812C4×D83—48no—
813C4×D83—44no—
814Dic166—24no—
815Dic166—24no—
816Dic166—24no—
817Dic166—24no—
818Dic166—216no—
819Dic166—28no—
820Dic166—28no—
821Dic166—48no—
822Dic166—42no—
823Dic166C2×#4118yes—
824Dic166C2×#4118yes—
825C22×C83—28no—
826C22×C83—21no—
827C22×C83—21no—
828C22×C83—21no—
829C22×C83—21no—
830C22×C83—21no—
831C22×C83—21no—
832C22×C83—24no—
833C22×C83—24no—
834C22×C83—24no—
835C22×C83C22×#4112yes—
836C22×C83C2×2−1+412yes—
837C22×C83#58512yes—
838C22×C83C2611yescharacteristic
839C2×D83—24no—
840C2×D83—24no—
841C2×D83—24no—
842C4×C83—21no—
843C4×C83—21no—
844C4×C83—24no—
845C4×C83—21no—
846C4×C83—21no—
847C4×C83—24no—
848C4×C83—24no—
849C4×C83—21no—
850C4×C83—21no—
851C4×C83—21no—
852C4×C83—21no—
853C4×C83C22×#4112yes—
854C4×C83C22×#4112yes—
855C4×C83C2×2−1+412yes—
856C4×C83C2×2−1+412yes—
857Dic83—24no—
858Dic83—24no—
859Dic83—24no—
860Dic83—24no—
861Dic83—24no—
862Dic83—24no—
863Dic83C22×#4118yes—
864#62788—831nomaximal, Sylow
865C2×C83—22no—
866C2×C83—22no—
867C2×C83—22no—
868C2×C83—44no—
869C2×C83C23×#4111yescharacteristic
870C2×C83C22×2−1+411yescharacteristic
871C2×C83C2×#58511yescharacteristic
872D83—44no—
873#3523—832no—
874#3523—832no—
875#3522—832no—
876#3522—832no—
877#3516—834no—
878#3516—834no—
879#3507—831no—
880#3507—831no—
881#3507—834no—
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—834no—
897#3444D8311yescharacteristic, complemented
898C4×2−1+4—832no—
899C22×C4×Q8—831no—
900C83#6278811yescharacteristic, complemented, Sylow
901C2×2−1+4—832no—
902C23×Q8—831no—
903#559—832no—
904#559—834no—
905#559—832no—
906#559—834no—
907Q82—832no—
908Q82—832no—
909#557—832no—
910#557—832no—
911#557—834no—
912#557—834no—
913#557—834no—
914#557—832no—
915#557—834no—
916#557—832no—
917#556—832no—
918#556—838no—
919#556—834no—
920#556—834no—
921#556—834no—
922#556—834no—
923#556—832no—
924#556—838no—
925#554—832no—
926#554—834no—
927#554—838no—
928#554—834no—
929#554—834no—
930#554—832no—
931#554—838no—
932#554—834no—
933#553—838no—
934#553—834no—
935#553—834no—
936#553—838no—
937#552—838no—
938#552—834no—
939#552—838no—
940#552—834no—
941#552—834no—
942#552—834no—
943#552—838no—
944#552—838no—
945#550—832no—
946#550—832no—
947D4×Q8—832no—
948D4×Q8—834no—
949D4×Q8—834no—
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—838no—
966#542—838no—
967#542—834no—
968#542—834no—
969#541—838no—
970#541—838no—
971#541—834no—
972#541—834no—
973#539—838no—
974#539—834no—
975#539—834no—
976#539—838no—
977#537—832no—
978#537—834no—
979#536—832no—
980#536—838no—
981#536—832no—
982#533—834no—
983#533—834no—
984#533—838no—
985#533—834no—
986#533—834no—
987#533—838no—
988#533—831no—
989#533—831no—
990#533—831no—
991#533—834no—
992#533C2×D8311yescharacteristic
993#533C2×D8311yescharacteristic
994#533C2×D8311yescharacteristic
995#532—834no—
996#532—834no—
997#532—834no—
998#532—831no—
999#532—831no—
1000#532—831no—
1001#532C2×D8311yescharacteristic
1002#532C2×D8311yescharacteristic
1003#532C2×D8311yescharacteristic
1004#529—838no—
1005#529—838no—
1006#529—834no—
1007#529—834no—
1008#529—834no—
1009#529—834no—
1010#529—838no—
1011#529—838no—
1012#529—838no—
1013#529—834no—
1014#529—838no—
1015#529—832no—
1016#529—832no—
1017#529—832no—
1018#529—832no—
1019#529—832no—
1020#529—832no—
1021#529—834no—
1022#529C2×D8312yes—
1023#529C2×D8312yes—
1024#529C2×D8312yes—
1025#529C2×D8312yes—
1026#529C2×D8312yes—
1027#529C2×D8312yes—
1028#525—832no—
1029#525—832no—
1030#525—832no—
1031#525—838no—
1032#525—838no—
1033#525C2×D8312yes—
1034#525C2×D8312yes—
1035#525C2×D8312yes—
1036#520—832no—
1037#520—838no—
1038#520—834no—
1039#520—832no—
1040#520—834no—
1041#519—834no—
1042#519—832no—
1043#519—834no—
1044C4×#41—834no—
1045C4×#41—838no—
1046C4×#41—834no—
1047C4×#41—838no—
1048C4×#41—834no—
1049C4×#41—832no—
1050C4×#41—834no—
1051C4×#41—832no—
1052C4×#41—832no—
1053C4×#41C2×D8312yes—
1054C4×#41C2×D8312yes—
1055C4×#41C2×D8312yes—
1056C2×C4×Q8—834no—
1057C2×C4×Q8—831no—
1058C2×C4×Q8—832no—
1059C2×C4×Q8—831no—
1060C2×C4×Q8—832no—
1061C2×C4×Q8—832no—
1062C2×C4×Q8—832no—
1063C2×C4×Q8—832no—
1064C2×C4×Q8—831no—
1065C2×C4×Q8—831no—
1066C2×C4×Q8—832no—
1067C2×C4×Q8—832no—
1068C2×C4×Q8—832no—
1069C2×C4×Q8—832no—
1070C2×C4×Q8—832no—
1071C2×C4×Q8—834no—
1072C22×C4⋊C4—832no—
1073C22×C4⋊C4—831no—
1074C22×C42—832no—
1075C22×C42C2×D8311yescharacteristic
10762−1+4—16616no—
1077C2×#41—838no—
1078C2×#41—838no—
1079C2×#41—834no—
1080C2×#41—832no—
1081C2×#41—832no—
1082C2×#41—832no—
1083C2×#41—834no—
1084C2×#41C22×D8312yes—
1085C2×#41C22×D8312yes—
1086C2×#41C22×D8312yes—
1087C22×Q8—834no—
1088C22×Q8—831no—
1089C22×Q8—832no—
1090C22×Q8—831no—
1091C22×Q8—832no—
1092C22×Q8—832no—
1093C22×Q8—832no—
1094C22×Q8—832no—
1095C22×Q8—834no—
1096C22×Q8—1668no—
1097C23×C4—832no—
1098C23×C4—832no—
1099C23×C4C22×D8311yescharacteristic
1100C23×C4C22×D8311yescharacteristic
1101C23×C4C22×D8311yescharacteristic
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⋊Q8—834no—
1116C4⋊Q8C22×D8311yescharacteristic
1117C4⋊Q8C22×D8311yescharacteristic
1118C4⋊Q8C22×D8311yescharacteristic
1119#127—834no—
1120#127—831no—
1121#127C22×D8311yescharacteristic
1122#126—838no—
1123#126—838no—
1124#126—838no—
1125#126—838no—
1126#126—838no—
1127#126—838no—
1128#126—838no—
1129#126—838no—
1130#126—838no—
1131#126—834no—
1132#126—834no—
1133#126—838no—
1134#126C22×D8314yes—
1135#126C22×D8314yes—
1136#125—838no—
1137#125—838no—
1138#125—834no—
1139#125—834no—
1140#125—838no—
1141#125—838no—
1142#125—834no—
1143#125—838no—
1144#125—838no—
1145#125—838no—
1146#125—838no—
1147#125—838no—
1148#125—832no—
1149#125—832no—
1150#125—832no—
1151#125—834no—
1152#125—838no—
1153#125C22×D8312yes—
1154#125C22×D8312yes—
1155#125C22×D8312yes—
1156#124—834no—
1157#124—834no—
1158#124—834no—
1159#124—838no—
1160#124—838no—
1161#124—838no—
1162#124—838no—
1163#124—832no—
1164#124—832no—
1165#124—832no—
1166#124—834no—
1167#124C22×D8312yes—
1168#124C22×D8312yes—
1169#124C22×D8312yes—
1170#123—838no—
1171#123—838no—
1172#123—838no—
1173#123—834no—
1174#123—834no—
1175#123—834no—
1176#123—838no—
1177#123—838no—
1178#123—838no—
1179#123—838no—
1180#123—838no—
1181#123—838no—
1182#123—838no—
1183#123C22×D8314yes—
1184#123C22×D8314yes—
1185#123C22×D8314yes—
1186C22⋊Q8—834no—
1187C22⋊Q8—838no—
1188C22⋊Q8—832no—
1189C22⋊Q8—832no—
1190C22⋊Q8—832no—
1191C22⋊Q8—832no—
1192C22⋊Q8—832no—
1193C22⋊Q8—832no—
1194C22⋊Q8—834no—
1195C22⋊Q8—834no—
1196C22⋊Q8—834no—
1197C22⋊Q8—838no—
1198C22⋊Q8—838no—
1199C22⋊Q8—838no—
1200C22⋊Q8—838no—
1201C22⋊Q8—838no—
1202C22⋊Q8—834no—
1203C22⋊Q8—834no—
1204C22⋊Q8—838no—
1205C22⋊Q8—838no—
1206C22⋊Q8—838no—
1207C22⋊Q8—838no—
1208C22⋊Q8—838no—
1209C22⋊Q8—838no—
1210C22⋊Q8—838no—
1211C22⋊Q8—838no—
1212C22⋊Q8—838no—
1213C22⋊Q8—838no—
1214C22⋊Q8C22×D8312yes—
1215C22⋊Q8C22×D8312yes—
1216C22⋊Q8C22×D8312yes—
1217C22⋊Q8C22×D8312yes—
1218C22⋊Q8C22×D8312yes—
1219C22⋊Q8C22×D8312yes—
1220#121—834no—
1221#121—838no—
1222#121—838no—
1223#121—838no—
1224#121—838no—
1225#121—838no—
1226#121—832no—
1227#121—832no—
1228#121—832no—
1229#121—832no—
1230#121—832no—
1231#121—832no—
1232#121—834no—
1233#121—838no—
1234#121C22×D8312yes—
1235#121C22×D8312yes—
1236#121C22×D8312yes—
1237#121C22×D8312yes—
1238#121C22×D8312yes—
1239#121C22×D8312yes—
1240#120—834no—
1241#120C22×D8314yes—
1242C4×Q8—834no—
1243C4×Q8—834no—
1244C4×Q8—834no—
1245C4×Q8—834no—
1246C4×Q8—838no—
1247C4×Q8—838no—
1248C4×Q8—834no—
1249C4×Q8—834no—
1250C4×Q8—838no—
1251C4×Q8—834no—
1252C4×Q8—832no—
1253C4×Q8—832no—
1254C4×Q8—832no—
1255C4×Q8—832no—
1256C4×Q8—834no—
1257C4×Q8—834no—
1258C4×Q8—832no—
1259C4×Q8—832no—
1260C4×Q8—834no—
1261C4×Q8—834no—
1262C4×Q8—832no—
1263C4×Q8—832no—
1264C4×Q8—832no—
1265C4×Q8—832no—
1266C4×Q8—832no—
1267C4×Q8—832no—
1268C4×Q8—832no—
1269C4×Q8—832no—
1270C4×Q8—834no—
1271C4×Q8—834no—
1272C4×Q8—832no—
1273C4×Q8—832no—
1274C4×Q8—834no—
1275C4×Q8—834no—
1276C4×Q8—838no—
1277C4×Q8—832no—
1278C4×Q8—834no—
1279C4×Q8—834no—
1280C4×Q8—838no—
1281C4×Q8—832no—
1282C4×Q8—834no—
1283C4×Q8—838no—
1284C4×Q8—832no—
1285C4×Q8—832no—
1286C4×Q8—832no—
1287C4×Q8—832no—
1288C4×Q8C22×D8312yes—
1289C4×Q8C22×D8312yes—
1290C4×Q8C22×D8312yes—
1291C4×Q8C22×D8312yes—
1292C4×Q8C22×D8312yes—
1293C4×Q8C22×D8312yes—
1294C4×D4—838no—
1295C4×D4—834no—
1296C4×D4—838no—
1297C4×D4—838no—
1298C4×D4—838no—
1299C4×D4—834no—
1300C4×D4—834no—
1301C4×D4—834no—
1302C4×D4—834no—
1303C4×D4—838no—
1304C4×D4—834no—
1305C4×D4—838no—
1306C4×D4—834no—
1307C4×D4—834no—
1308C4×D4—834no—
1309C4×D4—838no—
1310C4×D4—834no—
1311C4×D4—834no—
1312C4×D4—838no—
1313C4×D4—838no—
1314C4×D4—838no—
1315C4×D4—838no—
1316C4×D4—838no—
1317C4×D4—838no—
1318C4×D4—838no—
1319C4×D4—832no—
1320C4×D4—832no—
1321C4×D4—834no—
1322C4×D4—832no—
1323C4×D4—832no—
1324C4×D4—832no—
1325C4×D4—832no—
1326C4×D4C22×D8314yes—
1327C4×D4C22×D8314yes—
1328C4×D4C22×D8312yes—
1329C4×D4C22×D8314yes—
1330C4×D4C22×D8312yes—
1331C4×D4C22×D8314yes—
1332C4×D4C22×D8314yes—
1333C4×D4C22×D8314yes—
1334C4×D4C22×D8312yes—
1335C4×D4C22×D8312yes—
1336C4×D4C22×D8312yes—
1337C4×D4C22×D8312yes—
1338#117—832no—
1339#117—832no—
1340#117—834no—
1341#117—832no—
1342#117—838no—
1343#117—838no—
1344#117—834no—
1345#117—838no—
1346#117—838no—
1347#117—838no—
1348#117—838no—
1349#117—838no—
1350#117—838no—
1351#117—834no—
1352#117—838no—
1353#117—838no—
1354#117—834no—
1355#117—834no—
1356#117C22×D8312yes—
1357#117C22×D8312yes—
1358#117C22×D8314yes—
1359#117C22×D8312yes—
1360#117C22×D8314yes—
1361#117C22×D8314yes—
1362C2×C4⋊C4—832no—
1363C2×C4⋊C4—831no—
1364C2×C4⋊C4—832no—
1365C2×C4⋊C4—831no—
1366C2×C4⋊C4—832no—
1367C2×C4⋊C4—832no—
1368C2×C4⋊C4—832no—
1369C2×C4⋊C4—834no—
1370C2×C4⋊C4—834no—
1371C2×C4⋊C4—832no—
1372C2×C4⋊C4—832no—
1373C2×C4⋊C4—834no—
1374C2×C4⋊C4—834no—
1375C2×C4⋊C4—832no—
1376C2×C4⋊C4—832no—
1377C2×C4⋊C4—838no—
1378C2×C4⋊C4—834no—
1379C2×C4⋊C4—838no—
1380C2×C4⋊C4—834no—
1381C2×C42—832no—
1382C2×C42—834no—
1383C2×C42—834no—
1384C2×C42—834no—
1385C2×C42—832no—
1386C2×C42—832no—
1387C2×C42—834no—
1388C2×C42—832no—
1389C2×C42—838no—
1390C2×C42—838no—
1391C2×C42—834no—
1392C2×C42C22×D8311yescharacteristic
1393C2×C42C22×D8311yescharacteristic
1394C2×C42C22×D8311yescharacteristic
1395C2×C42C22×D8311yescharacteristic
1396C2×C42C22×D8311yescharacteristic
1397C2×C42C22×D8311yescharacteristic
1398C2×C42C22×D8311yescharacteristic
1399C2×C42C22×D8311yescharacteristic
1400C2×C42C22×D8311yescharacteristic
1401C2×C42C22×D8311yescharacteristic
1402C2×C42C22×D8311yescharacteristic
1403C2×C42C22×D8311yescharacteristic
1404C2×C42C22×D8314yes—
1405C24C23×D8311yescharacteristic
1406#41—28no—
1407#41—28no—
1408#41—44no—
1409#41—3324no—
1410#41—33216no—
1411#41—16616no—
1412#41—16632no—
1413#41—16616no—
1414#41—1668no—
1415#41—1668no—
1416C2×Q8—838no—
1417C2×Q8—832no—
1418C2×Q8—838no—
1419C2×Q8—832no—
1420C2×Q8—832no—
1421C2×Q8—832no—
1422C2×Q8—834no—
1423C2×Q8—834no—
1424C2×Q8—832no—
1425C2×Q8—832no—
1426C2×Q8—838no—
1427C2×Q8—832no—
1428C2×Q8—1668no—
1429C2×Q8—1668no—
1430C2×Q8—1668no—
1431C2×Q8—1668no—
1432C2×Q8—1668no—
1433C2×Q8—16616no—
1434C2×Q8—16616no—
1435C2×Q8—1664no—
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—832no—
1446C2×D4—832no—
1447C2×D4C23×D8314yes—
1448C2×D4C23×D8312yes—
1449C2×D4C23×D8314yes—
1450C2×D4C23×D8314yes—
1451C2×D4C23×D8312yes—
1452C2×D4C23×D8312yes—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—42no—
1456C22×C4—3324no—
1457C22×C4—832no—
1458C22×C4—834no—
1459C22×C4—832no—
1460C22×C4—838no—
1461C22×C4—838no—
1462C22×C4—834no—
1463C22×C4—832no—
1464C22×C4—834no—
1465C22×C4—834no—
1466C22×C4—834no—
1467C22×C4—832no—
1468C22×C4—838no—
1469C22×C4—838no—
1470C22×C4—834no—
1471C22×C4—834no—
1472C22×C4—1668no—
1473C22×C4C23×D8311yescharacteristic
1474C22×C4C23×D8311yescharacteristic
1475C22×C4C23×D8311yescharacteristic
1476C22×C4C23×D8311yescharacteristic
1477C22×C4C23×D8311yescharacteristic
1478C22×C4C23×D8311yescharacteristic
1479C22×C4C23×D8311yescharacteristic
1480C22×C4C23×D8311yescharacteristic
1481C22×C4C23×D8311yescharacteristic
1482C22×C4C23×D8311yescharacteristic
1483C22×C4C23×D8314yes—
1484C22×C4C23×D8311yescharacteristic
1485C22×C4C23×D8311yescharacteristic
1486C22×C4C23×D8314yes—
1487C22×C4C23×D8311yescharacteristic
1488C22×C4C23×D8311yescharacteristic
1489C22×C4C23×D8311yescharacteristic
1490C22×C4C23×D8311yescharacteristic
1491C22×C4C23×D8314yes—
1492C22×C4C23×D8311yescharacteristic
1493C22×C4C23×D8311yescharacteristic
1494C4⋊C4—834no—
1495C4⋊C4—834no—
1496C4⋊C4—832no—
1497C4⋊C4—832no—
1498C4⋊C4—834no—
1499C4⋊C4—834no—
1500C4⋊C4—832no—
1501C4⋊C4—832no—
1502C4⋊C4—834no—
1503C4⋊C4—834no—
1504C4⋊C4—834no—
1505C4⋊C4—834no—
1506C4⋊C4—834no—
1507C4⋊C4—834no—
1508C4⋊C4—838no—
1509C4⋊C4—832no—
1510C4⋊C4—838no—
1511C4⋊C4—834no—
1512C4⋊C4—838no—
1513C4⋊C4—838no—
1514C4⋊C4—832no—
1515C4⋊C4—834no—
1516C4⋊C4—834no—
1517C4⋊C4—832no—
1518C4⋊C4—832no—
1519C4⋊C4—838no—
1520C4⋊C4—832no—
1521C4⋊C4—838no—
1522C4⋊C4—832no—
1523C4⋊C4—838no—
1524C4⋊C4—834no—
1525C4⋊C4—838no—
1526C4⋊C4—838no—
1527C4⋊C4—834no—
1528C4⋊C4—838no—
1529C4⋊C4—834no—
1530C4⋊C4—838no—
1531C4⋊C4—838no—
1532C4⋊C4C23×D8312yes—
1533C4⋊C4C23×D8314yes—
1534C4⋊C4C23×D8312yes—
1535C4⋊C4C23×D8314yes—
1536C4⋊C4C23×D8314yes—
1537C4⋊C4C23×D8312yes—
1538C4⋊C4C23×D8312yes—
1539C4⋊C4C23×D8312yes—
1540C4⋊C4C23×D8312yes—
1541C4⋊C4C23×D8314yes—
1542C4⋊C4C23×D8314yes—
1543C4⋊C4C23×D8314yes—
1544C22⋊C4—834no—
1545C22⋊C4—834no—
1546C22⋊C4—838no—
1547C22⋊C4—834no—
1548C22⋊C4—838no—
1549C22⋊C4—838no—
1550C22⋊C4—838no—
1551C22⋊C4—838no—
1552C22⋊C4—834no—
1553C22⋊C4—834no—
1554C22⋊C4—834no—
1555C22⋊C4—834no—
1556C22⋊C4—838no—
1557C22⋊C4—838no—
1558C22⋊C4—834no—
1559C22⋊C4—834no—
1560C22⋊C4—838no—
1561C22⋊C4C23×D8314yes—
1562C22⋊C4C23×D8314yes—
1563C22⋊C4C23×D8314yes—
1564C22⋊C4C23×D8314yes—
1565C22⋊C4C23×D8314yes—
1566C22⋊C4C23×D8314yes—
1567C22⋊C4C23×D8314yes—
1568C22⋊C4C23×D8314yes—
1569C22⋊C4C23×D8314yes—
1570C42—834no—
1571C42—834no—
1572C42—834no—
1573C42—834no—
1574C42—834no—
1575C42—834no—
1576C42—838no—
1577C42—838no—
1578C42—834no—
1579C42—838no—
1580C42—838no—
1581C42—834no—
1582C42—834no—
1583C42—834no—
1584C42—834no—
1585C42C23×D8311yescharacteristic
1586C42C23×D8311yescharacteristic
1587C42C23×D8311yescharacteristic
1588C42C23×D8311yescharacteristic
1589C42C23×D8311yescharacteristic
1590C42C23×D8311yescharacteristic
1591C42C23×D8311yescharacteristic
1592C42C23×D8311yescharacteristic
1593C42C23×D8311yescharacteristic
1594C42C23×D8311yescharacteristic
1595C42C23×D8311yescharacteristic
1596C42C23×D8311yescharacteristic
1597C42C23×D8314yes—
1598C42C23×D8314yes—
1599C42C23×D8311yescharacteristic
1600C42C23×D8314yes—
1601C42C23×D8311yescharacteristic
1602C42C23×D8311yescharacteristic
1603C42C23×D8311yescharacteristic
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—834no—
1608C23C24×D8314yes—
1609C23C24×D8311yescharacteristic
1610C23C24×D8311yescharacteristic
1611C23C24×D8311yescharacteristic
1612Q8—24no—
1613Q8—24no—
1614Q8—42no—
1615Q8—3322no—
1616Q8—3328no—
1617Q8—838no—
1618Q8—838no—
1619Q8—1668no—
1620Q8—1668no—
1621Q8—16616no—
1622Q8—1664no—
1623Q8—1664no—
1624Q8—1664no—
1625Q8—1664no—
1626D4—28no—
1627D4—28no—
1628D4—28no—
1629D4—24no—
1630D4—24no—
1631D4—42no—
1632D4—3322no—
1633D4—3328no—
1634D4—16616no—
1635D4—1668no—
1636D4—1668no—
1637D4—1668no—
1638D4—1664no—
1639D4—1664no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—28no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—28no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—44no—
1659C2×C4—3324no—
1660C2×C4—3328no—
1661C2×C4—3322no—
1662C2×C4—3324no—
1663C2×C4—3322no—
1664C2×C4—3328no—
1665C2×C4—838no—
1666C2×C4—834no—
1667C2×C4—834no—
1668C2×C4—834no—
1669C2×C4—834no—
1670C2×C4—834no—
1671C2×C4—834no—
1672C2×C4—834no—
1673C2×C4—16616no—
1674C2×C4—1668no—
1675C2×C4—1668no—
1676C2×C4—16616no—
1677C2×C4—1664no—
1678C2×C4—1668no—
1679C2×C4—1668no—
1680C2×C4—1668no—
1681C2×C4#41×D8314yes—
1682C2×C4#1458183914yescomplemented
1683C2×C4C24×D8311yescharacteristic
1684C2×C4C24×D8311yescharacteristic
1685C2×C4C24×D8311yescharacteristic
1686C2×C4C24×D8314yes—
1687C2×C4C24×D8314yes—
1688C2×C4C24×D8314yes—
1689C2×C4C24×D8311yescharacteristic
1690C2×C4C24×D8311yescharacteristic
1691C2×C4C24×D8311yescharacteristic
1692C2×C4C24×D8311yescharacteristic
1693C2×C4C24×D8311yescharacteristic
1694C2×C4C24×D8311yescharacteristic
1695C2×C4C24×D8311yescharacteristic
1696C2×C4C24×D8311yescharacteristic
1697C2×C4C24×D8311yescharacteristic
1698C22—28no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—21no—
1705C22—24no—
1706C22—24no—
1707C22—24no—
1708C22—1664no—
1709C22—1664no—
1710C22—1664no—
1711C22C2×#41×D8312yes—
1712C22C2×#1458183912yes—
1713C22#1912853712yes—
1714C22C25×D8311yescharacteristic
1715C4—21no—
1716C4—21no—
1717C4—24no—
1718C4—21no—
1719C4—21no—
1720C4—24no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—24no—
1726C4—838no—
1727C4—1664no—
1728C4—1664no—
1729C4—1664no—
1730C4—1664no—
1731C4—1664no—
1732C4—1664no—
1733C4C2×#41×D8312yes—
1734C4C2×#41×D8312yes—
1735C4C2×#1458183912yes—
1736C4C2×#1458183912yes—
1737C2—22no—
1738C2—22no—
1739C2—22no—
1740C2—44no—
1741C2—3324no—
1742C2C22×#41×D8311yescharacteristic
1743C2C22×#1458183911yescharacteristic
1744C2C2×#1912853711yescharacteristic
subgroupG/H
centerC2×C4C24×D83
commutator, socle, cosocleC22×C83C26
FrattiniC22C25×D83
FittingC83×#3444C2
hypercenter#3444D83
hypocenterC83#62788
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C2×C4 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #24921557C2semidirect
2. #24921551C2semidirect
3. #24921546C2semidirect
4. #24921540C2semidirect
5. #24921452C2semidirect
6. #24921446C2semidirect
7. #24921330C2semidirect
8. #24921325C2semidirect
9. #24921319C2semidirect
10. #24921268C2semidirect
11. #24921229C2semidirect
12. #24921169C2semidirect
13. #24921164C2semidirect
14. #24921110C2semidirect
15. #24921078C2semidirect
16. #24921076C2semidirect
17. #24921060C2semidirect
18. #24921056C2semidirect
19. #41×Dic166C2semidirect
20. #24921041C2semidirect
21. #24920892C2semidirect
22. #24920890C2semidirect
23. #24920759C2semidirect
24. #24920755C2semidirect
25. C4×#14581839C2semidirect
26. C22×C4×Dic166C2semidirect
27. C83×#3444C2semidirect
30. #19128437C22semidirect
31. #19128436C22semidirect
32. #19128434C22semidirect
33. #19128433C22semidirect
34. Q8×Dic166C22semidirect
35. #19128431C22semidirect
36. #19128430C22semidirect
37. #19128429C22semidirect
38. #19128429C22semidirect
39. #19128428C22semidirect
40. #19128428C22semidirect
41. #19128427C22semidirect
42. #19128426C22semidirect
43. #19128426C22semidirect
44. #19128425C22semidirect
45. #19128424C22semidirect
46. #19128423C22semidirect
47. #19128421C22semidirect
48. #19128420C22semidirect
49. #19128420C22semidirect
50. #19128419C22semidirect
51. #19128418C22semidirect
52. #19128412C22semidirect
54. #19128410C22semidirect
57. #19128408C22semidirect
58. #19128407C22semidirect
66. #19128391C22semidirect
67. #19128389C22semidirect
69. #19128387C22semidirect
71. #19128384C22semidirect
72. #19128372C22semidirect
73. #19128371C22semidirect
76. D4×Dic166C22semidirect
77. #19128366C22semidirect
82. #19128360C22semidirect
83. #19128359C22semidirect
92. #19128322C22semidirect
93. #19128317C22semidirect
94. #19128316C22semidirect
95. #19128315C22semidirect
96. #19128313C22semidirect
97. #19128310C22semidirect
98. #19128309C22semidirect
99. #19128308C22semidirect
112. #19128258C22semidirect
113. #19128255C22semidirect
114. #19128255C22semidirect
116. #19128254C22semidirect
133. #19128235C22semidirect
134. #19128233C22semidirect
139. #19128231C22semidirect
140. #19128229C22semidirect
150. #19128181C22semidirect
152. #19128180C22semidirect
154. #19128178C22semidirect
155. #19128177C22semidirect
160. C4×#13050590C22semidirect
164. C4×#13050589C22semidirect
179. C2×C4×Dic166C22semidirect
180. C4×Q8×D83C22semidirect
546. C2×Dic166#41semidirect
768. C2×C4×C832−1+4semidirect
897. #3444D83semidirect
900. C83#62788semidirect
1682. C2×C4#14581839semidirect

Maximal subgroups

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

subgroupindex
#249215572
#249215512
#249215462
#249215402
#249214522
#249214462
#249213302
#249213252
#249213192
#249212682
#249212292
#249211692
#249211642
#249211102
#249210782
#249210762
#249210602
#249210562
#41×Dic1662
#249210412
#249208922
#249208902
#249207592
#249207552
C4×#145818392
C22×C4×Dic1662
C83×#34442
#6278883