Finite Group Databasebeta

← #36312989

Subgroups — #36312989

Order 21248.

7210 conjugacy classes of subgroups.

The subgroup lattice has 1670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921378C214yesmaximal, complemented
2#24921368C214yesmaximal, complemented
3#24921361C211yesmaximal, characteristic, complemented
4#24921359C211yesmaximal, characteristic, complemented
5#24921357C211yesmaximal, characteristic, complemented
6#24921348C211yesmaximal, characteristic, complemented
7#24921344C211yesmaximal, characteristic, complemented
8#24921338C211yesmaximal, characteristic, complemented
9#24921334C211yesmaximal, characteristic, complemented
10#24921324C214yesmaximal, complemented
11#24921311C214yesmaximal, complemented
12#24921294C218yesmaximal, complemented
13#24921059C214yesmaximal, complemented
14#24921055C214yesmaximal, complemented
15#24921018C218yesmaximal, complemented
16#24920850C214yesmaximal, complemented
17#24920795C211yesmaximal, characteristic, complemented
18#24920794C211yesmaximal, characteristic, complemented
19#24920757C214yesmaximal, complemented
20#533×D83C211yesmaximal, characteristic, complemented
21C2×#19128250C211yesmaximal, characteristic, complemented
22#24920665C211yesmaximal, characteristic, complemented
23#24920661C211yesmaximal, characteristic, complemented
24C4×#41×D83C211yesmaximal, characteristic, complemented
25C83×#3510C211yesmaximal, characteristic, complemented
26C22×#13050591C2211yescharacteristic
27C22×#13050589C2211yescharacteristic
28C2×#41×D83C2211yescharacteristic
29#19128436C2214yescomplemented
30#19128434C2214yescomplemented
31#19128434C2214yescomplemented
32#19128433C2214yescomplemented
33#19128433C2214yescomplemented
34#19128429C2214yescomplemented
35#19128426C2214yescomplemented
36#19128424C2214yescomplemented
37#19128423C2214yescomplemented
38#19128423C2214yescomplemented
39#19128420C2214yescomplemented
40#19128420C2214yescomplemented
41#19128418C2218yescomplemented
42#19128413C2218yescomplemented
43#19128405C2218yescomplemented
44#19128402C2218yescomplemented
45#19128402C2218yescomplemented
46#19128401C2218yescomplemented
47#19128400C2218yescomplemented
48#19128396C2218yescomplemented
49#19128396C2218yescomplemented
50#19128396C2218yescomplemented
51#19128395C2218yescomplemented
52#19128388C2218yescomplemented
53#19128387C2218yescomplemented
54#19128384C2218yescomplemented
55#19128384C2218yescomplemented
56#19128380C2218yescomplemented
57#19128378C2218yescomplemented
58#19128377C2218yescomplemented
59#19128372C2214yescomplemented
60#19128371C2214yescomplemented
61#19128361C2218yescomplemented
62#19128359C2218yescomplemented
63#19128349C2218yescomplemented
64#19128341C2218yescomplemented
65#19128338C2218yescomplemented
66#19128325C2214yescomplemented
67#19128322C2214yescomplemented
68#19128320C2214yescomplemented
69#19128311C2214yescomplemented
70#19128309C2214yescomplemented
71#19128304C2214yescomplemented
72#19128302C2214yescomplemented
73#19128297C2218yescomplemented
74#19128292C2218yescomplemented
75#19128287C2218yescomplemented
76#19128285C2218yescomplemented
77#19128281C2214yescomplemented
78#19128280C2214yescomplemented
79#19128277C2211yescharacteristic
80#19128276C2212yescomplemented
81#19128275C2211yescharacteristic
82#19128272C2211yescharacteristic
83#19128271C2212yescomplemented
84#19128270C2211yescharacteristic
85#19128269C2212yescomplemented
86#19128268C2211yescharacteristic
87#19128265C2211yescharacteristic
88#19128264C2212yescomplemented
89#19128262C2214yes—
90#19128261C2214yes—
91#19128258C2211yescharacteristic, complemented
92#19128257C2212yescomplemented
93#19128256C2212yescomplemented
94#19128255C2214yescomplemented
95#19128255C2214yescomplemented
96#19128254C2211yescharacteristic, complemented
97#19128254C2211yescharacteristic, complemented
98#19128253C2214yescomplemented
99#19128253C2214yescomplemented
100#19128252C2212yescomplemented
101#19128250C2212yes—
102#19128250C2212yes—
103#19128250C2214yes—
104#19128250C2212yescomplemented
105#19128250C2212yescomplemented
106#19128250C2214yescomplemented
107#19128250C2212yescomplemented
108#19128250C2212yescomplemented
109#19128249C2212yescomplemented
110#19128248C2214yescomplemented
111#19128246C2214yescomplemented
112C2×#14581790C2211yescharacteristic, complemented
113C4⋊Q8×D83C2212yescomplemented
114C2×#14581788C2211yescharacteristic, complemented
115#19128237C2218yescomplemented
116#19128236C2214yescomplemented
117#19128235C2214yescomplemented
118#19128234C2218yescomplemented
119#19128234C2218yescomplemented
120#19128234C2218yescomplemented
121#19128230C2214yescomplemented
122#19128230C2218yescomplemented
123#19128229C2218yescomplemented
124#19128228C2218yescomplemented
125#19128228C2218yescomplemented
126#125×D83C2212yescomplemented
127C2×#14581780C2211yescharacteristic, complemented
128#19128214C2214yescomplemented
129#19128211C2214yescomplemented
130#19128210C2218yescomplemented
131#19128209C2214yes—
132#19128209C2218yescomplemented
133#19128207C2214yes—
134C22⋊Q8×D83C2214yes—
135C2×#14581765C2214yes—
136#19128183C2214yescomplemented
137#19128183C2214yescomplemented
138#19128180C2214yescomplemented
139#19128180C2214yescomplemented
140#19128179C2211yescharacteristic, complemented
141#19128178C2211yescharacteristic, complemented
142#19128178C2211yescharacteristic, complemented
143#19128176C2211yescharacteristic, complemented
144#19128175C2214yes—
145#19128175C2211yescharacteristic, complemented
146#19128175C2211yescharacteristic, complemented
147#19128174C2214yes—
148#41×Dic83C2211yescharacteristic
149C4×#13050591C2214yescomplemented
150C4×#13050591C2212yescomplemented
151C4×#13050591C2214yescomplemented
152C4×#13050590C2211yescharacteristic
153C4×#13050590C2212yescomplemented
154#19128169C2211yescharacteristic
155#19128169C2212yescomplemented
156#19128169C2218yescomplemented
157C4×#13050589C2214yes—
158C4×#13050589C2214yescomplemented
159C4×#13050589C2212yescomplemented
160C4×#13050589C2214yescomplemented
161C4×#13050589C2218yescomplemented
162C4×Q8×D83C2212yescomplemented
163C4×Q8×D83C2214yescomplemented
164C2×(C22⋊D83)⋊C4C2214yescomplemented
165C4×D4×D83C2214yes—
166C4×D4×D83C2212yescomplemented
167C2×#14581748C2214yescomplemented
168#117×D83C2211yescharacteristic
169#117×D83C2211yescharacteristic
170#117×D83C2211yescharacteristic
171#117×D83C2212yescomplemented
172#117×D83C2214yescomplemented
173C2×C42×D83C2211yescharacteristic
174C2×C42×D83C2212yescomplemented
175#559×C83C2214yescomplemented
176#556×C83C2214yescomplemented
177#551×C83C2218yescomplemented
178#542×C83C2214yescomplemented
179#536×C83C2211yescharacteristic
180#535×C83C2211yescharacteristic
181#533×C83C2211yescharacteristic, complemented
182#529×C83C2214yescomplemented
183C2×#124×C83C2211yescharacteristic, complemented
184#519×C83C2211yescharacteristic, complemented
185#518×C83C2211yescharacteristic, complemented
186C4×#41×C83C2211yescharacteristic
187C2×#13050591—28no—
188C2×#13050591C2312yes—
189C2×#13050591C2312yes—
190C2×#13050591C2311yescharacteristic
191C2×#13050591C2312yes—
192C2×#13050591C2312yes—
193C2×#13050590C2311yescharacteristic
194C2×#13050590C2312yes—
195C2×#13050590C2318yes—
196C2×#13050589—28no—
197C2×#13050589C2312yes—
198C2×#13050589C2312yes—
199C2×#13050589C2311yescharacteristic
200C2×#13050589C2312yes—
201C2×#13050589C2312yes—
202C2×#13050589C2312yes—
203C2×#13050589C2318yes—
204#41×D83—28no—
205C22×Dic166C2311yescharacteristic
206C2×Q8×D83C2311yescharacteristic
207C2×Q8×D83C2314yes—
208C22×D332C2312yes—
209C22×D332C2311yescharacteristic
210C22×C22⋊D83C2312yes—
211C22×C22⋊D83C2314yes—
212C2×D4×D83C2312yes—
213C2×D4×D83C2311yescharacteristic
214C23×Dic83C2312yes—
215C22×C4×D83C2312yes—
216C22×C4×D83C2312yes—
217C22×C4×D83C2312yes—
218C22×C4×D83C2314yes—
219C22×C4×D83C2311yescharacteristic
220#14581792C2312yes—
221#14581792C2312yes—
222#14581791C2314yes—
223#14581791C2312yes—
224#14581791C2312yes—
225#14581790C2314yes—
226#14581790C2312yes—
227#14581790C2314yes—
228#14581790C2312yes—
229#14581790C2312yes—
230#14581790C2312yes—
231#14581789C2312yes—
232#14581788C2312yes—
233#14581788C2314yes—
234#14581788C2312yes—
235#14581788C2312yes—
236#14581788C2312yes—
237#14581787C2318yes—
238#14581787C2318yes—
239#14581787C2318yes—
240#14581787C2318yes—
241#14581786C2318yes—
242#14581786C2318yes—
243#14581785C2318yes—
244#14581785C2318yes—
245#14581785C2318yes—
246#14581785C2318yes—
247#14581784C2318yes—
248#14581784C2312yes—
249#14581783C2318yes—
250#14581783C2312yes—
251#14581783C2312yes—
252#14581782C2314yes—
253#14581782C2318yes—
254#14581782C2318yes—
255#14581782C2318yes—
256#14581782C2314yes—
257#14581782C2318yes—
258#14581781C2318yes—
259#14581781C2312yes—
260#14581781C2312yes—
261#14581780C2312yes—
262#14581780C2312yes—
263#14581780C2314yes—
264#14581780C2312yes—
265#14581780C2312yes—
266#14581779C2312yes—
267#14581779C2312yes—
268#14581778C2318yes—
269#14581778C2318yes—
270#14581778C2318yes—
271#14581778C2318yes—
272#14581777C2318yes—
273#14581777C2318yes—
274#14581777C2318yes—
275#14581776C2318yes—
276#14581776C2318yes—
277#14581776C2314yes—
278#14581775C2318yes—
279#14581775C2314yes—
280#14581775C2318yes—
281#14581774C2318yes—
282#14581774C2318yes—
283#14581774C2318yes—
284#14581774C2318yes—
285#14581774C2318yes—
286#14581773C2314yes—
287#14581772C2314yes—
288#14581772C2314yes—
289#14581771C2314yes—
290#14581771C2314yes—
291#14581770C2318yes—
292#14581770C2318yes—
293#14581770C2318yes—
294#14581770C2314yes—
295#14581770C2314yes—
296#14581769C2318yes—
297#14581769C2314yes—
298#14581769C2314yes—
299#14581769C2318yes—
300#14581769C2318yes—
301#14581768C2314yes—
302#14581768C2318yes—
303#14581768C2314yes—
304#14581767C2314yes—
305#14581767C2318yes—
306#14581766C2314yes—
307#14581766C2318yes—
308#14581765C2318yes—
309#14581765C2318yes—
310#14581765C2318yes—
311#14581765C2318yes—
312#14581765C2318yes—
313#14581765C2318yes—
314#14581765C2318yes—
315#14581765C2318yes—
316#14581765C2318yes—
317#14581764C2318yes—
318#14581764C2318yes—
319#14581764C2318yes—
320#14581763C2314yes—
321#14581763C2318yes—
322#14581763C2318yes—
323#14581762C2314yes—
324#14581762C2318yes—
325#14581761C2314yes—
326#14581760C2314yes—
327#14581760C2318yes—
328Q8×Dic83C2314yes—
329Q8×Dic83C2312yes—
330Q8×Dic83C2314yes—
331Q8×Dic83C2314yes—
332C4×Dic166C2314yes—
333C4×Dic166C2318yes—
334C4×Dic166C2314yes—
335C4×Dic166C2314yes—
336C4×Dic166C2314yes—
337C4×Dic166C2312yes—
338C4×Dic166C2314yes—
339C4×Dic166C2314yes—
340#14581757C2314yes—
341#14581757C2318yes—
342#14581757C2314yes—
343#14581757C2314yes—
344#14581757C2312yes—
345#14581757C2314yes—
346#14581757C2314yes—
347#14581757C2314yes—
348C4×D332C2314yes—
349C4×D332C2318yes—
350C4×D332C2314yes—
351C4×D332C2314yes—
352C4×D332C2312yes—
353C4×D332C2318yes—
354D4×Dic83C2314yes—
355D4×Dic83C2314yes—
356D4×Dic83C2312yes—
357D4×Dic83C2314yes—
358D4×Dic83C2318yes—
359#14581754C2314yes—
360#14581754C2314yes—
361#14581754C2318yes—
362#14581754C2312yes—
363#14581754C2314yes—
364#14581754C2318yes—
365#14581754C2318yes—
366#14581754C2318yes—
367C4×C22⋊D83C2318yes—
368C4×C22⋊D83C2318yes—
369C4×C22⋊D83C2314yes—
370C4×C22⋊D83C2318yes—
371C4×C22⋊D83C2314yes—
372C4×C22⋊D83C2314yes—
373C4×C22⋊D83C2318yes—
374(C22⋊D83)⋊C4C2318yes—
375(C22⋊D83)⋊C4C2314yes—
376(C22⋊D83)⋊C4C2314yes—
377(C22⋊D83)⋊C4C2318yes—
378(C22⋊D83)⋊C4C2314yes—
379(C22⋊D83)⋊C4C2318yes—
380(C22⋊D83)⋊C4C2318yes—
381(C22⋊D83)⋊C4C2318yes—
382(C22⋊D83)⋊C4C2318yes—
383(C22⋊D83)⋊C4C2318yes—
384(C22⋊D83)⋊C4C2318yes—
385(C22⋊D83)⋊C4C2318yes—
386(C22⋊D83)⋊C4C2318yes—
387#14581751C2314yes—
388#14581751C2311yescharacteristic
389#14581751C2311yescharacteristic
390#14581751C2311yescharacteristic
391#14581751C2312yes—
392#14581750C2318yes—
393#14581750C2312yes—
394#14581750C2312yes—
395#14581750C2312yes—
396#14581750C2314yes—
397#14581750C2318yes—
398#14581749C2312yes—
399#14581749C2318yes—
400#14581749C2318yes—
401#14581749C2318yes—
402#14581749C2312yes—
403#14581749C2312yes—
404#14581749C2312yes—
405#14581749C2312yes—
406#14581748C2318yes—
407#14581748C2314yes—
408#14581748C2314yes—
409#14581748C2318yes—
410#14581748C2318yes—
411#14581748C2312yes—
412#14581748C2312yes—
413#14581748C2312yes—
414#14581748C2314yes—
415#14581748C2318yes—
416C2×Dic83⋊C4C2318yes—
417C2×Dic83⋊C4C2314yes—
418C4⋊C4×D83C2318yes—
419C4⋊C4×D83C2314yes—
420C4⋊C4×D83C2314yes—
421C4⋊C4×D83C2314yes—
422C4⋊C4×D83C2312yes—
423C4⋊C4×D83C2312yes—
424C4⋊C4×D83C2312yes—
425C4⋊C4×D83C2314yes—
426C2×C22⋊Dic83C2314yes—
427C2×(C2×D83)⋊C4C2314yes—
428C22⋊C4×D83C2314yes—
429C22⋊C4×D83C2314yes—
430C22⋊C4×D83C2312yes—
431C22⋊C4×D83C2312yes—
432C22⋊C4×D83C2312yes—
433C22⋊C4×D83C2314yes—
434C2×C4×Dic83C2312yes—
435C2×C4×Dic83C2311yescharacteristic
436C2×C4×Dic83C2314yes—
437C2×C4×Dic83C2312yes—
438C2×C4×Dic83C2318yes—
439C42×D83C2311yescharacteristic
440C42×D83C2311yescharacteristic
441C42×D83C2312yes—
442C42×D83C2312yes—
443C42×D83C2311yescharacteristic
444C42×D83C2311yescharacteristic
445C42×D83C2312yes—
446C42×D83C2314yes—
447C42×D83C2314yes—
448C42×D83C2312yes—
449C42×D83C2312yes—
450C42×D83C2312yes—
451C42×D83C2312yes—
452C42×D83C2318yes—
453C2×#41×C83C2311yescharacteristic
454C22×Q8×C83C2311yescharacteristic
455C22×D4×C83C2311yescharacteristic
456C4⋊Q8×C83C2312yes—
457C4⋊Q8×C83C2312yes—
458#127×C83C2312yes—
459#126×C83C2318yes—
460#126×C83C2318yes—
461#125×C83C2312yes—
462#124×C83C2312yes—
463#124×C83C2318yes—
464#124×C83C2312yes—
465#124×C83C2314yes—
466#124×C83C2312yes—
467#124×C83C2312yes—
468#123×C83C2318yes—
469#123×C83C2318yes—
470#123×C83C2314yes—
471C22⋊Q8×C83C2318yes—
472C22⋊Q8×C83C2314yes—
473C22⋊Q8×C83C2314yes—
474#121×C83C2314yes—
475#120×C83C2314yes—
476C4×Q8×C83C2312yes—
477C4×Q8×C83C2314yes—
478C4×Q8×C83C2314yes—
479C4×Q8×C83C2314yes—
480C4×D4×C83C2314yes—
481C4×D4×C83C2314yes—
482C4×D4×C83C2312yes—
483C4×D4×C83C2314yes—
484C4×D4×C83C2318yes—
485#117×C83C2312yes—
486#117×C83C2311yescharacteristic
487#117×C83C2311yescharacteristic
488#117×C83C2314yes—
489#117×C83C2311yescharacteristic
490#117×C83C2318yes—
491C2×C22⋊C4×C83C2314yes—
492C2×C22⋊C4×C83C2314yes—
493C2×C42×C83C2311yescharacteristic
494C2×C42×C83C2312yes—
495C23×D83C2412yes—
496C23×D83C2412yes—
497C23×D83C2411yescharacteristic
498#13050591—24no—
499#13050591—28no—
500#13050591—28no—
501#13050591—28no—
502#13050591—28no—
503#13050590—24no—
504#13050590—28no—
505#13050590—416no—
506#13050589—28no—
507#13050589—24no—
508#13050589—28no—
509#13050589—28no—
510#13050589—28no—
511#13050589—28no—
512#13050589—416no—
513C2×Dic166—24no—
514C2×Dic166C2412yes—
515C2×Dic166C2414yes—
516C2×Dic166C2414yes—
517C2×Dic166C2412yes—
518C2×Dic166C2411yescharacteristic
519C2×Dic166C2412yes—
520C2×Dic166C2414yes—
521Q8×D83—24no—
522Q8×D83—48no—
523C2×D332—28no—
524C2×D332—24no—
525C2×D332C2414yes—
526C2×D332C2414yes—
527C2×D332C2412yes—
528C2×D332C2412yes—
529C2×D332C2412yes—
530C2×D332C2411yescharacteristic
531C2×D332C2418yes—
532C2×C22⋊D83—28no—
533C2×C22⋊D83—48no—
534C2×C22⋊D83C2414yes—
535C2×C22⋊D83C2412yes—
536C2×C22⋊D83C2412yes—
537C2×C22⋊D83C2414yes—
538C2×C22⋊D83C2412yes—
539C2×C22⋊D83C2418yes—
540C2×C22⋊D83C2418yes—
541C2×C22⋊D83C2418yes—
542C2×C22⋊D83C2418yes—
543D4×D83—28no—
544D4×D83—24no—
545C22×Dic83—28no—
546C22×Dic83C2414yes—
547C22×Dic83C2414yes—
548C22×Dic83C2412yes—
549C22×Dic83C2412yes—
550C22×Dic83C2412yes—
551C22×Dic83C2414yes—
552C22×Dic83C2418yes—
553C22×Dic83C2411yescharacteristic
554C2×C4×D83—28no—
555C2×C4×D83—28no—
556C2×C4×D83—44no—
557C2×C4×D83—48no—
558C2×C4×D83#4118yescomplemented
559C2×C4×D83C2412yes—
560C2×C4×D83C2412yes—
561C2×C4×D83C2412yes—
562C2×C4×D83C2414yes—
563C2×C4×D83C2414yes—
564C2×C4×D83C2412yes—
565C2×C4×D83C2412yes—
566C2×C4×D83C2414yes—
567C2×C4×D83C2414yes—
568C2×C4×D83C2418yes—
569C2×C4×D83C2412yes—
570C2×C4×D83C2412yes—
571C2×C4×D83C2414yes—
572C2×C4×D83C2418yes—
573C2×C4×D83C2414yes—
574C2×C4×D83C2414yes—
575C2×C4×D83C2411yescharacteristic
576C2×C4×D83C2411yescharacteristic
577C2×C4×D83C2411yescharacteristic
578C2×C4×D83C2411yescharacteristic
579C4⋊Dic83C2414yes—
580C4⋊Dic83C2412yes—
581C4⋊Dic83C2418yes—
582C4⋊Dic83C2412yes—
583C4⋊Dic83C2414yes—
584C4⋊Dic83C2414yes—
585C4⋊Dic83C2418yes—
586C4⋊Dic83C2414yes—
587C4⋊Dic83C2412yes—
588Dic83⋊C4C2414yes—
589Dic83⋊C4C2414yes—
590Dic83⋊C4C2414yes—
591Dic83⋊C4C2414yes—
592Dic83⋊C4C2418yes—
593Dic83⋊C4C2414yes—
594Dic83⋊C4C2414yes—
595Dic83⋊C4C2418yes—
596Dic83⋊C4C2418yes—
597Dic83⋊C4C2418yes—
598Dic83⋊C4C2414yes—
599Dic83⋊C4C2418yes—
600Dic83⋊C4C2418yes—
601Dic83⋊C4C2414yes—
602Dic83⋊C4C2414yes—
603Dic83⋊C4C2414yes—
604Dic83⋊C4C2414yes—
605C22⋊Dic83C2412yes—
606C22⋊Dic83C2418yes—
607C22⋊Dic83C2412yes—
608C22⋊Dic83C2418yes—
609C22⋊Dic83C2414yes—
610C22⋊Dic83C2418yes—
611C22⋊Dic83C2412yes—
612(C2×D83)⋊C4C2414yes—
613(C2×D83)⋊C4C2418yes—
614(C2×D83)⋊C4C2418yes—
615(C2×D83)⋊C4C2414yes—
616(C2×D83)⋊C4C2418yes—
617(C2×D83)⋊C4C2418yes—
618(C2×D83)⋊C4C2418yes—
619(C2×D83)⋊C4C2414yes—
620(C2×D83)⋊C4C2418yes—
621(C2×D83)⋊C4C2418yes—
622(C2×D83)⋊C4C2418yes—
623(C2×D83)⋊C4C2414yes—
624(C2×D83)⋊C4C2414yes—
625C4×Dic83C2414yes—
626C4×Dic83C2414yes—
627C4×Dic83C2418yes—
628C4×Dic83C2418yes—
629C4×Dic83C2412yes—
630C4×Dic83C2412yes—
631C4×Dic83C2418yes—
632C4×Dic83C2412yes—
633C4×Dic83C2411yescharacteristic
634C4×Dic83C2414yes—
635C4×Dic83C2411yescharacteristic
636C4×Dic83C2412yes—
637C4×Dic83C2412yes—
638C4×Dic83C2414yes—
639C4×Dic83C2412yes—
640C4×Dic83C2414yes—
641C4×Dic83C2412yes—
642C4×Dic83C2412yes—
643C4×Dic83C2414yes—
644C24×C83C2412yes—
645#41×C83—24no—
646C2×Q8×C83—24no—
647C2×Q8×C83C2412yes—
648C2×Q8×C83C2411yescharacteristic
649C2×Q8×C83C2412yes—
650C2×Q8×C83C2414yes—
651C2×D4×C83—24no—
652C2×D4×C83C2412yes—
653C2×D4×C83C2412yes—
654C2×D4×C83C2411yescharacteristic
655C2×D4×C83C2412yes—
656C2×D4×C83C2418yes—
657C22×C4×C83C2412yes—
658C22×C4×C83C2412yes—
659C22×C4×C83C2418yes—
660C22×C4×C83C2412yes—
661C22×C4×C83C2414yes—
662C22×C4×C83C2411yescharacteristic
663C4⋊C4×C83C2412yes—
664C4⋊C4×C83C2418yes—
665C4⋊C4×C83C2414yes—
666C4⋊C4×C83C2414yes—
667C4⋊C4×C83C2418yes—
668C4⋊C4×C83C2414yes—
669C4⋊C4×C83C2412yes—
670C4⋊C4×C83C2414yes—
671C4⋊C4×C83C2412yes—
672C22⋊C4×C83C2412yes—
673C22⋊C4×C83C2418yes—
674C22⋊C4×C83C2418yes—
675C22⋊C4×C83C2418yes—
676C22⋊C4×C83C2418yes—
677C22⋊C4×C83C2418yes—
678C22⋊C4×C83C2412yes—
679C22⋊C4×C83C2414yes—
680C22⋊C4×C83C2412yes—
681C42×C83C2411yescharacteristic
682C42×C83C2411yescharacteristic
683C42×C83C2412yes—
684C42×C83C2412yes—
685C42×C83C2412yes—
686C42×C83C2418yes—
687C42×C83C2414yes—
688C42×C83C2412yes—
689C23×C83—24no—
690C23×C83—44no—
691C23×C83C2514yes—
692C23×C83C2512yes—
693C23×C83C2511yescharacteristic
694C22×D83—24no—
695C22×D83—24no—
696C22×D83—42no—
697C22×D83—44no—
698C22×D83—44no—
699C22×D83C2×#4114yes—
700C22×D83C2514yes—
701C22×D83C2512yes—
702C22×D83C2511yescharacteristic
703C22×D83C2511yescharacteristic
704Q8×C83—24no—
705Q8×C83—24no—
706Q8×C83—22no—
707Q8×C83—44no—
708D4×C83—24no—
709D4×C83—24no—
710D4×C83—24no—
711D4×C83—22no—
712D4×C83—48no—
713C2×C4×C83—24no—
714C2×C4×C83—24no—
715C2×C4×C83—42no—
716C2×C4×C83—44no—
717C2×C4×C83—48no—
718C2×C4×C83C2×#4114yes—
719C2×C4×C83C2512yes—
720C2×C4×C83C2514yes—
721C2×C4×C83C2514yes—
722C2×C4×C83C2512yes—
723C2×C4×C83C2514yes—
724C2×C4×C83C2512yes—
725C2×C4×C83C2514yes—
726C2×C4×C83C2511yescharacteristic
727C2×C4×C83C2511yescharacteristic
728C22⋊D83—24no—
729C22⋊D83—24no—
730C22⋊D83—28no—
731C22⋊D83—28no—
732C22⋊D83—24no—
733C22⋊D83—216no—
734C22⋊D83—48no—
735C22⋊D83—48no—
736C22⋊D83—48no—
737C2×Dic83—24no—
738C2×Dic83—24no—
739C2×Dic83—28no—
740C2×Dic83—28no—
741C2×Dic83—24no—
742C2×Dic83—28no—
743C2×Dic83—48no—
744C2×Dic83C2×#4114yes—
745C2×Dic83C2514yes—
746C2×Dic83C2514yes—
747C2×Dic83C2514yes—
748C2×Dic83C2512yes—
749C2×Dic83C2514yes—
750C2×Dic83C2512yes—
751C2×Dic83C2511yescharacteristic
752C2×Dic83C2511yescharacteristic
753C2×Dic83C2512yes—
754D332—24no—
755D332—28no—
756D332—28no—
757D332—22no—
758D332—24no—
759D332—24no—
760D332—48no—
761C4×D83—24no—
762C4×D83—24no—
763C4×D83—24no—
764C4×D83—28no—
765C4×D83—28no—
766C4×D83—24no—
767C4×D83—24no—
768C4×D83—28no—
769C4×D83—44no—
770C4×D83—44no—
771C4×D83—42no—
772C4×D83—42no—
773C4×D83—44no—
774C4×D83—44no—
775C4×D83—48no—
776C4×D83—48no—
777C4×D83C2×#4114yes—
778C4×D83C2×#4114yes—
779C4×D83C2×#4114yes—
780C4×D83C2×#4114yes—
781Dic166—22no—
782Dic166—24no—
783Dic166—24no—
784Dic166—24no—
785Dic166—28no—
786Dic166—28no—
787Dic166—44no—
788C22×C83—22no—
789C22×C83—24no—
790C22×C83—22no—
791C22×C83—24no—
792C22×C83—28no—
793C22×C83—84no—
794C22×C83C22×#4112yes—
795C22×C83C2611yescharacteristic
796C2×D83—22no—
797C2×D83—22no—
798C2×D83—24no—
799C2×D83—22no—
800C2×D83—24no—
801C2×D83—28no—
802C2×D83—44no—
803C2×D83—48no—
804C2×D83—84no—
805C2×D83C22×#4112yes—
806C2×D83C22×#4112yes—
807C4×C83—22no—
808C4×C83—24no—
809C4×C83—24no—
810C4×C83—24no—
811C4×C83—22no—
812C4×C83—22no—
813C4×C83—24no—
814C4×C83C22×#4112yes—
815C4×C83C22×#4112yes—
816Dic83—22no—
817Dic83—24no—
818Dic83—24no—
819Dic83—24no—
820Dic83—24no—
821Dic83—22no—
822Dic83C22×#4112yes—
823Dic83C22×#4112yes—
824Dic83#58514yes—
825#62815—831nomaximal, Sylow
826C2×C83—22no—
827C2×C83—42no—
828C2×C83—44no—
829C2×C83C23×#4111yescharacteristic
830C2×C83C2×#58512yes—
831D83—22no—
832D83—22no—
833D83—42no—
834D83—44no—
835#3512—834no—
836#3511—834no—
837#3510—831no—
838#3510—831no—
839#3510—831no—
840#3510D8311yescharacteristic, complemented
841#3509—831no—
842#3509—831no—
843#3508—831no—
844#3508—831no—
845#3507—834no—
846#3506—834no—
847#3505—838no—
848#3480—834no—
849#3480—834no—
850#3475—838no—
851#3455—834no—
852#3449—831no—
853#3449—831no—
854#3444—834no—
855C2×#533—831no—
856C2×#532—831no—
857#3428—831no—
858#3428—831no—
859C2×C4×#41—831no—
860C83#6281511yescharacteristic, complemented, Sylow
861C22×#41—831no—
862C22×#41—831no—
863C22×#41—831no—
864#559—834no—
865#559—834no—
866#559—834no—
867#559—834no—
868#559—834no—
869#559C2×D8314yescomplemented
870#557—834no—
871#557—834no—
872#556—838no—
873#556—834no—
874#556—834no—
875#556—834no—
876#556—834no—
877#556—834no—
878#556C2×D8314yescomplemented
879#555—838no—
880#554—838no—
881#553—838no—
882#553—838no—
883#553—838no—
884#553—838no—
885#553—838no—
886#553—838no—
887#553—838no—
888#553—838no—
889#552—838no—
890#552—838no—
891#552—838no—
892#552—838no—
893#551—838no—
894#551—838no—
895#551—838no—
896#551C2×D8318yescomplemented
897#550—834no—
898#550—834no—
899#548—838no—
900#548—838no—
901#547—838no—
902#546—838no—
903#546—838no—
904#542—834no—
905#542—834no—
906#542—834no—
907#542C2×D8314yescomplemented
908#541—834no—
909#541—834no—
910#540—834no—
911#540—834no—
912#539—838no—
913#539—838no—
914#538—838no—
915#538—838no—
916#537—834no—
917#537—834no—
918#536—831no—
919#536—831no—
920#536—832no—
921#536—832no—
922#536—831no—
923#536C2×D8311yescharacteristic
924#535—831no—
925#535—831no—
926#535—832no—
927#535—832no—
928#535—831no—
929#535C2×D8311yescharacteristic
930#534—834no—
931#534—834no—
932#533—832no—
933#533—832no—
934#533—834no—
935#533—834no—
936#533—834no—
937#533—834no—
938#533—831no—
939#533—831no—
940#533—831no—
941#533C2×D8311yescharacteristic, complemented
942#532—832no—
943#532—832no—
944#532—832no—
945#532—832no—
946#532—834no—
947#532—834no—
948#532—832no—
949#532—832no—
950#532—832no—
951#532—832no—
952#532—834no—
953#532—834no—
954C2×C4⋊Q8—831no—
955C2×C4⋊Q8—832no—
956C2×#127—831no—
957#529—838no—
958#529—838no—
959#529—838no—
960#529—834no—
961#529—834no—
962#529—838no—
963#529—838no—
964#529—838no—
965#529—838no—
966#529—838no—
967#529—834no—
968#529C2×D8314yescomplemented
969C2×#125—832no—
970C2×#124—831no—
971C2×#124C2×D8311yescharacteristic, complemented
972#525—838no—
973#525—834no—
974#525—834no—
975#525—834no—
976#525—834no—
977#525—838no—
978C2×C22⋊Q8—834no—
979C2×#121—834no—
980#520—834no—
981#520—834no—
982#520—834no—
983#520—834no—
984#519—831no—
985#519—831no—
986#519—831no—
987#519C2×D8311yescharacteristic, complemented
988#518—831no—
989#518—834no—
990#518—831no—
991#518—831no—
992#518—834no—
993#518C2×D8311yescharacteristic, complemented
994C4×#41—831no—
995C4×#41—832no—
996C4×#41—834no—
997C4×#41—834no—
998C4×#41—834no—
999C4×#41—832no—
1000C4×#41—834no—
1001C4×#41—834no—
1002C4×#41—838no—
1003C4×#41—831no—
1004C4×#41—832no—
1005C4×#41—838no—
1006C4×#41—831no—
1007C4×#41—832no—
1008C4×#41C2×D8311yescharacteristic
1009C2×C4×Q8—832no—
1010C2×C4×Q8—834no—
1011C2×C4×D4—834no—
1012C2×C4×D4—832no—
1013C2×C4×D4—834no—
1014C2×#117—831no—
1015C2×#117—831no—
1016C2×#117—831no—
1017C2×#117—832no—
1018C2×#117—834no—
1019C2×#117—834no—
1020C22×C42—831no—
1021C22×C42—832no—
1022C2×#41—832no—
1023C2×#41—831no—
1024C2×#41—832no—
1025C2×#41—832no—
1026C2×#41—832no—
1027C2×#41—838no—
1028C2×#41—832no—
1029C2×#41—832no—
1030C2×#41—831no—
1031C2×#41—832no—
1032C2×#41—832no—
1033C2×#41—832no—
1034C2×#41—838no—
1035C2×#41—831no—
1036C2×#41—832no—
1037C2×#41—1668no—
1038C2×#41—1668no—
1039C2×#41—1668no—
1040C2×#41C22×D8311yescharacteristic
1041C22×Q8—834no—
1042C22×Q8—831no—
1043C22×Q8—831no—
1044C22×Q8C22×D8311yescharacteristic
1045C22×D4—834no—
1046C22×D4—832no—
1047C22×D4—832no—
1048C22×D4—831no—
1049C22×D4—832no—
1050C22×D4—831no—
1051C22×D4C22×D8311yescharacteristic
1052C23×C4—832no—
1053C23×C4—834no—
1054C23×C4—831no—
1055C23×C4—832no—
1056C23×C4—832no—
1057C23×C4—832no—
1058C4⋊Q8—832no—
1059C4⋊Q8—832no—
1060C4⋊Q8—834no—
1061C4⋊Q8—834no—
1062C4⋊Q8—832no—
1063C4⋊Q8—832no—
1064C4⋊Q8—832no—
1065C4⋊Q8—832no—
1066C4⋊Q8—834no—
1067C4⋊Q8—832no—
1068C4⋊Q8—832no—
1069C4⋊Q8C22×D8312yes—
1070C4⋊Q8C22×D8312yes—
1071#127—832no—
1072#127—832no—
1073#127—834no—
1074#127—832no—
1075#127—832no—
1076#127—832no—
1077#127C22×D8312yes—
1078#126—838no—
1079#126—838no—
1080#126—838no—
1081#126—838no—
1082#126—838no—
1083#126—838no—
1084#126—838no—
1085#126—838no—
1086#126—838no—
1087#126—838no—
1088#126C22×D8318yes—
1089#126C22×D8318yes—
1090#125—834no—
1091#125—834no—
1092#125—832no—
1093#125—832no—
1094#125—838no—
1095#125—838no—
1096#125—838no—
1097#125—838no—
1098#125—838no—
1099#125—832no—
1100#125—838no—
1101#125C22×D8312yes—
1102#124—838no—
1103#124—832no—
1104#124—832no—
1105#124—832no—
1106#124—832no—
1107#124—838no—
1108#124—838no—
1109#124—838no—
1110#124—838no—
1111#124—832no—
1112#124—832no—
1113#124—834no—
1114#124—832no—
1115#124—832no—
1116#124C22×D8312yes—
1117#124C22×D8312yes—
1118#124C22×D8314yes—
1119#124C22×D8318yes—
1120#124C22×D8312yes—
1121#124C22×D8312yes—
1122#123—834no—
1123#123—838no—
1124#123—834no—
1125#123—838no—
1126#123—838no—
1127#123—838no—
1128#123—838no—
1129#123—838no—
1130#123—838no—
1131#123—834no—
1132#123—838no—
1133#123—838no—
1134#123—838no—
1135#123—838no—
1136#123—838no—
1137#123C22×D8318yes—
1138#123C22×D8314yes—
1139#123C22×D8318yes—
1140C22⋊Q8—834no—
1141C22⋊Q8—834no—
1142C22⋊Q8—838no—
1143C22⋊Q8—834no—
1144C22⋊Q8—834no—
1145C22⋊Q8—834no—
1146C22⋊Q8—834no—
1147C22⋊Q8—838no—
1148C22⋊Q8—838no—
1149C22⋊Q8—838no—
1150C22⋊Q8—834no—
1151C22⋊Q8—834no—
1152C22⋊Q8—834no—
1153C22⋊Q8—834no—
1154C22⋊Q8—838no—
1155C22⋊Q8—838no—
1156C22⋊Q8—838no—
1157C22⋊Q8C22×D8314yes—
1158C22⋊Q8C22×D8314yes—
1159C22⋊Q8C22×D8318yes—
1160#121—834no—
1161#121—838no—
1162#121—838no—
1163#121—838no—
1164#121—838no—
1165#121—838no—
1166#121—834no—
1167#121—838no—
1168#121—834no—
1169#121—838no—
1170#121—838no—
1171#121—838no—
1172#121—838no—
1173#121—838no—
1174#121—838no—
1175#121—838no—
1176#121—838no—
1177#121—838no—
1178#121—838no—
1179#121C22×D8314yes—
1180#120—834no—
1181#120—838no—
1182#120—834no—
1183#120—838no—
1184#120—834no—
1185#120C22×D8314yes—
1186C4×Q8—832no—
1187C4×Q8—834no—
1188C4×Q8—834no—
1189C4×Q8—834no—
1190C4×Q8—834no—
1191C4×Q8—834no—
1192C4×Q8—834no—
1193C4×Q8—832no—
1194C4×Q8—834no—
1195C4×Q8—834no—
1196C4×Q8—834no—
1197C4×Q8—838no—
1198C4×Q8—834no—
1199C4×Q8—832no—
1200C4×Q8—834no—
1201C4×Q8—834no—
1202C4×Q8—834no—
1203C4×Q8—834no—
1204C4×Q8—834no—
1205C4×Q8—838no—
1206C4×Q8C22×D8312yes—
1207C4×Q8C22×D8314yes—
1208C4×Q8C22×D8314yes—
1209C4×Q8C22×D8314yes—
1210C4×D4—834no—
1211C4×D4—832no—
1212C4×D4—834no—
1213C4×D4—834no—
1214C4×D4—838no—
1215C4×D4—834no—
1216C4×D4—834no—
1217C4×D4—834no—
1218C4×D4—838no—
1219C4×D4—838no—
1220C4×D4—838no—
1221C4×D4—838no—
1222C4×D4—834no—
1223C4×D4—832no—
1224C4×D4—838no—
1225C4×D4—834no—
1226C4×D4—838no—
1227C4×D4—834no—
1228C4×D4—838no—
1229C4×D4—838no—
1230C4×D4—838no—
1231C4×D4—834no—
1232C4×D4—834no—
1233C4×D4—834no—
1234C4×D4—838no—
1235C4×D4—838no—
1236C4×D4—838no—
1237C4×D4—838no—
1238C4×D4—838no—
1239C4×D4—838no—
1240C4×D4—838no—
1241C4×D4—838no—
1242C4×D4—838no—
1243C4×D4—834no—
1244C4×D4—832no—
1245C4×D4—838no—
1246C4×D4—834no—
1247C4×D4—838no—
1248C4×D4—834no—
1249C4×D4C22×D8314yes—
1250C4×D4C22×D8312yes—
1251C4×D4C22×D8314yes—
1252C4×D4C22×D8314yes—
1253C4×D4C22×D8318yes—
1254#117—831no—
1255#117—832no—
1256#117—831no—
1257#117—831no—
1258#117—834no—
1259#117—832no—
1260#117—832no—
1261#117—832no—
1262#117—834no—
1263#117—838no—
1264#117—838no—
1265#117—832no—
1266#117—832no—
1267#117—832no—
1268#117—834no—
1269#117—838no—
1270#117—834no—
1271#117—834no—
1272#117—838no—
1273#117—838no—
1274#117—838no—
1275#117—832no—
1276#117—832no—
1277#117—832no—
1278#117—832no—
1279#117—832no—
1280#117—838no—
1281#117—838no—
1282#117—838no—
1283#117C22×D8311yescharacteristic
1284#117C22×D8312yes—
1285#117C22×D8311yescharacteristic
1286#117C22×D8314yes—
1287#117C22×D8311yescharacteristic
1288#117C22×D8318yes—
1289C2×C4⋊C4—838no—
1290C2×C4⋊C4—834no—
1291C2×C4⋊C4—832no—
1292C2×C4⋊C4—834no—
1293C2×C4⋊C4—832no—
1294C2×C4⋊C4—832no—
1295C2×C4⋊C4—838no—
1296C2×C4⋊C4—834no—
1297C2×C4⋊C4—834no—
1298C2×C4⋊C4—834no—
1299C2×C22⋊C4—834no—
1300C2×C22⋊C4—834no—
1301C2×C22⋊C4—832no—
1302C2×C22⋊C4—834no—
1303C2×C22⋊C4—832no—
1304C2×C22⋊C4—832no—
1305C2×C22⋊C4—834no—
1306C2×C22⋊C4—834no—
1307C2×C22⋊C4C22×D8314yes—
1308C2×C22⋊C4C22×D8314yes—
1309C2×C42—838no—
1310C2×C42—832no—
1311C2×C42—834no—
1312C2×C42—831no—
1313C2×C42—832no—
1314C2×C42—832no—
1315C2×C42—831no—
1316C2×C42—832no—
1317C2×C42—832no—
1318C2×C42—838no—
1319C2×C42—834no—
1320C2×C42—832no—
1321C2×C42—832no—
1322C2×C42—834no—
1323C2×C42—831no—
1324C2×C42—832no—
1325C2×C42—831no—
1326C2×C42—832no—
1327C2×C42—831no—
1328C2×C42C22×D8311yescharacteristic
1329C2×C42C22×D8312yes—
1330C24—831no—
1331C24—832no—
1332C24—832no—
1333C24C23×D8312yes—
1334#41—24no—
1335#41—33216no—
1336#41—33216no—
1337#41—1668no—
1338#41—1668no—
1339#41—1668no—
1340#41—1668no—
1341#41—1668no—
1342#41—1668no—
1343#41—1664no—
1344#41—1668no—
1345#41—1668no—
1346#41—1668no—
1347#41—1668no—
1348#41—1664no—
1349#41—1664no—
1350C2×Q8—24no—
1351C2×Q8—3328no—
1352C2×Q8—834no—
1353C2×Q8—832no—
1354C2×Q8—834no—
1355C2×Q8—834no—
1356C2×Q8—832no—
1357C2×Q8—831no—
1358C2×Q8—832no—
1359C2×Q8—1664no—
1360C2×Q8—1664no—
1361C2×Q8C23×D8312yes—
1362C2×Q8C23×D8311yescharacteristic
1363C2×Q8C23×D8312yes—
1364C2×Q8C23×D8314yes—
1365C2×D4—24no—
1366C2×D4—3328no—
1367C2×D4—838no—
1368C2×D4—838no—
1369C2×D4—838no—
1370C2×D4—832no—
1371C2×D4—834no—
1372C2×D4—832no—
1373C2×D4—832no—
1374C2×D4—834no—
1375C2×D4—838no—
1376C2×D4—838no—
1377C2×D4—834no—
1378C2×D4—832no—
1379C2×D4—834no—
1380C2×D4—832no—
1381C2×D4—831no—
1382C2×D4—832no—
1383C2×D4—1668no—
1384C2×D4—1664no—
1385C2×D4—1668no—
1386C2×D4—1668no—
1387C2×D4—1664no—
1388C2×D4C23×D8312yes—
1389C2×D4C23×D8312yes—
1390C2×D4C23×D8311yescharacteristic
1391C2×D4C23×D8312yes—
1392C2×D4C23×D8318yes—
1393C22×C4—3324no—
1394C22×C4—3328no—
1395C22×C4—838no—
1396C22×C4—834no—
1397C22×C4—832no—
1398C22×C4—832no—
1399C22×C4—834no—
1400C22×C4—834no—
1401C22×C4—834no—
1402C22×C4—838no—
1403C22×C4—838no—
1404C22×C4—831no—
1405C22×C4—838no—
1406C22×C4—831no—
1407C22×C4—831no—
1408C22×C4—831no—
1409C22×C4—831no—
1410C22×C4—832no—
1411C22×C4—832no—
1412C22×C4—834no—
1413C22×C4—834no—
1414C22×C4—832no—
1415C22×C4—834no—
1416C22×C4—832no—
1417C22×C4—832no—
1418C22×C4—832no—
1419C22×C4—832no—
1420C22×C4—834no—
1421C22×C4—834no—
1422C22×C4—832no—
1423C22×C4—834no—
1424C22×C4—1668no—
1425C22×C4—1668no—
1426C22×C4—1668no—
1427C22×C4C23×D8312yes—
1428C22×C4C23×D8312yes—
1429C22×C4C23×D8312yes—
1430C22×C4C23×D8314yes—
1431C22×C4C23×D8318yes—
1432C22×C4C23×D8311yescharacteristic
1433C4⋊C4—834no—
1434C4⋊C4—834no—
1435C4⋊C4—834no—
1436C4⋊C4—832no—
1437C4⋊C4—834no—
1438C4⋊C4—838no—
1439C4⋊C4—834no—
1440C4⋊C4—832no—
1441C4⋊C4—832no—
1442C4⋊C4—834no—
1443C4⋊C4—838no—
1444C4⋊C4—838no—
1445C4⋊C4—834no—
1446C4⋊C4—834no—
1447C4⋊C4—838no—
1448C4⋊C4—834no—
1449C4⋊C4—834no—
1450C4⋊C4—838no—
1451C4⋊C4—834no—
1452C4⋊C4—834no—
1453C4⋊C4—834no—
1454C4⋊C4—834no—
1455C4⋊C4—834no—
1456C4⋊C4—838no—
1457C4⋊C4—838no—
1458C4⋊C4—838no—
1459C4⋊C4C23×D8314yes—
1460C4⋊C4C23×D8312yes—
1461C4⋊C4C23×D8312yes—
1462C4⋊C4C23×D8318yes—
1463C4⋊C4C23×D8314yes—
1464C4⋊C4C23×D8312yes—
1465C4⋊C4C23×D8314yes—
1466C4⋊C4C23×D8314yes—
1467C4⋊C4C23×D8318yes—
1468C22⋊C4—832no—
1469C22⋊C4—832no—
1470C22⋊C4—832no—
1471C22⋊C4—834no—
1472C22⋊C4—838no—
1473C22⋊C4—838no—
1474C22⋊C4—838no—
1475C22⋊C4—834no—
1476C22⋊C4—834no—
1477C22⋊C4—834no—
1478C22⋊C4—834no—
1479C22⋊C4—838no—
1480C22⋊C4—838no—
1481C22⋊C4—838no—
1482C22⋊C4—834no—
1483C22⋊C4—838no—
1484C22⋊C4—838no—
1485C22⋊C4—838no—
1486C22⋊C4—838no—
1487C22⋊C4—838no—
1488C22⋊C4C23×D8312yes—
1489C22⋊C4C23×D8312yes—
1490C22⋊C4C23×D8312yes—
1491C22⋊C4C23×D8314yes—
1492C22⋊C4C23×D8318yes—
1493C22⋊C4C23×D8318yes—
1494C22⋊C4C23×D8318yes—
1495C22⋊C4C23×D8318yes—
1496C22⋊C4C23×D8318yes—
1497C42—834no—
1498C42—832no—
1499C42—831no—
1500C42—834no—
1501C42—834no—
1502C42—832no—
1503C42—832no—
1504C42—834no—
1505C42—831no—
1506C42—832no—
1507C42—832no—
1508C42—834no—
1509C42—834no—
1510C42—832no—
1511C42—838no—
1512C42—838no—
1513C42—838no—
1514C42—832no—
1515C42—832no—
1516C42C23×D8311yescharacteristic
1517C42C23×D8312yes—
1518C42C23×D8314yes—
1519C42C23×D8311yescharacteristic
1520C42C23×D8312yes—
1521C42C23×D8318yes—
1522C42C23×D8312yes—
1523C42C23×D8312yes—
1524C23—24no—
1525C23—44no—
1526C23—3322no—
1527C23—3324no—
1528C23—3324no—
1529C23—834no—
1530C23—831no—
1531C23—831no—
1532C23—834no—
1533C23—832no—
1534C23—1664no—
1535C23—1664no—
1536C23C24×D8312yes—
1537C23C24×D8314yes—
1538C23C24×D8311yescharacteristic
1539Q8—24no—
1540Q8—24no—
1541Q8—22no—
1542Q8—44no—
1543Q8—3324no—
1544Q8—1668no—
1545Q8—1668no—
1546Q8—1664no—
1547Q8—1664no—
1548Q8—1662no—
1549Q8—1664no—
1550D4—24no—
1551D4—24no—
1552D4—24no—
1553D4—22no—
1554D4—48no—
1555D4—3328no—
1556D4—3328no—
1557D4—3328no—
1558D4—3328no—
1559D4—1664no—
1560D4—1668no—
1561D4—1668no—
1562D4—16616no—
1563D4—1664no—
1564D4—1664no—
1565D4—1668no—
1566D4—1668no—
1567D4—1664no—
1568D4—1664no—
1569D4—1662no—
1570D4—1664no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—44no—
1574C2×C4—42no—
1575C2×C4—48no—
1576C2×C4—3324no—
1577C2×C4—3324no—
1578C2×C4—3322no—
1579C2×C4—3322no—
1580C2×C4—3324no—
1581C2×C4—3324no—
1582C2×C4—3328no—
1583C2×C4—3328no—
1584C2×C4—3328no—
1585C2×C4—834no—
1586C2×C4—831no—
1587C2×C4—832no—
1588C2×C4—831no—
1589C2×C4—834no—
1590C2×C4—834no—
1591C2×C4—834no—
1592C2×C4—834no—
1593C2×C4—834no—
1594C2×C4—832no—
1595C2×C4—834no—
1596C2×C4—834no—
1597C2×C4—834no—
1598C2×C4—832no—
1599C2×C4—1664no—
1600C2×C4—1664no—
1601C2×C4—1668no—
1602C2×C4—1664no—
1603C2×C4—1668no—
1604C2×C4—1668no—
1605C2×C4—1664no—
1606C2×C4—1664no—
1607C2×C4—1668no—
1608C2×C4—1664no—
1609C2×C4—1668no—
1610C2×C4—1668no—
1611C2×C4—1664no—
1612C2×C4—1664no—
1613C2×C4#41×D8314yes—
1614C2×C4C24×D8314yes—
1615C2×C4C24×D8312yes—
1616C2×C4C24×D8314yes—
1617C2×C4C24×D8312yes—
1618C2×C4C24×D8312yes—
1619C2×C4C24×D8314yes—
1620C2×C4C24×D8314yes—
1621C2×C4C24×D8311yescharacteristic
1622C2×C4C24×D8311yescharacteristic
1623C22—22no—
1624C22—22no—
1625C22—24no—
1626C22—28no—
1627C22—24no—
1628C22—84no—
1629C22—3324no—
1630C22—3328no—
1631C22—832no—
1632C22—832no—
1633C22—6644no—
1634C22—1662no—
1635C22—1664no—
1636C22—1668no—
1637C22—1664no—
1638C22—1662no—
1639C22—1662no—
1640C22C2×#41×D8312yes—
1641C22C25×D8311yescharacteristic
1642C4—22no—
1643C4—24no—
1644C4—22no—
1645C4—24no—
1646C4—24no—
1647C4—22no—
1648C4—24no—
1649C4—832no—
1650C4—832no—
1651C4—834no—
1652C4—1662no—
1653C4—1664no—
1654C4—1664no—
1655C4—1664no—
1656C4—1664no—
1657C4—1662no—
1658C4C2×#41×D8312yes—
1659C4C2×#41×D8312yes—
1660C2—22no—
1661C2—44no—
1662C2—42no—
1663C2—3322no—
1664C2—3324no—
1665C2—1662no—
1666C2—1662no—
1667C2C22×#41×D8311yescharacteristic
1668C2#585×D8312yes—
subgroupG/H
center, FrattiniC22C25×D83
commutator, socle, cosocleC22×C83C26
FittingC83×#3510C2
hypercenter#3510D83
hypocenterC83#62815
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C22 ◁ #3510

Complements

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

NH ≅ G/Ntype
1. #24921378C2semidirect
2. #24921368C2semidirect
3. #24921361C2semidirect
4. #24921359C2semidirect
5. #24921357C2semidirect
6. #24921348C2semidirect
7. #24921344C2semidirect
8. #24921338C2semidirect
9. #24921334C2semidirect
10. #24921324C2semidirect
11. #24921311C2semidirect
12. #24921294C2semidirect
13. #24921059C2semidirect
14. #24921055C2semidirect
15. #24921018C2semidirect
16. #24920850C2semidirect
17. #24920795C2semidirect
18. #24920794C2semidirect
19. #24920757C2semidirect
20. #533×D83C2semidirect
21. C2×#19128250C2semidirect
22. #24920665C2semidirect
23. #24920661C2semidirect
24. C4×#41×D83C2semidirect
25. C83×#3510C2semidirect
29. #19128436C22semidirect
30. #19128434C22semidirect
31. #19128434C22semidirect
32. #19128433C22semidirect
33. #19128433C22semidirect
34. #19128429C22semidirect
35. #19128426C22semidirect
36. #19128424C22semidirect
37. #19128423C22semidirect
38. #19128423C22semidirect
39. #19128420C22semidirect
40. #19128420C22semidirect
41. #19128418C22semidirect
42. #19128413C22semidirect
43. #19128405C22semidirect
44. #19128402C22semidirect
45. #19128402C22semidirect
46. #19128401C22semidirect
47. #19128400C22semidirect
48. #19128396C22semidirect
49. #19128396C22semidirect
50. #19128396C22semidirect
51. #19128395C22semidirect
52. #19128388C22semidirect
53. #19128387C22semidirect
54. #19128384C22semidirect
55. #19128384C22semidirect
56. #19128380C22semidirect
57. #19128378C22semidirect
58. #19128377C22semidirect
59. #19128372C22semidirect
60. #19128371C22semidirect
61. #19128361C22semidirect
62. #19128359C22semidirect
63. #19128349C22semidirect
64. #19128341C22semidirect
65. #19128338C22semidirect
66. #19128325C22semidirect
67. #19128322C22semidirect
68. #19128320C22semidirect
69. #19128311C22semidirect
70. #19128309C22semidirect
71. #19128304C22semidirect
72. #19128302C22semidirect
73. #19128297C22semidirect
74. #19128292C22semidirect
75. #19128287C22semidirect
76. #19128285C22semidirect
77. #19128281C22semidirect
78. #19128280C22semidirect
80. #19128276C22semidirect
83. #19128271C22semidirect
85. #19128269C22semidirect
88. #19128264C22semidirect
91. #19128258C22semidirect
92. #19128257C22semidirect
93. #19128256C22semidirect
94. #19128255C22semidirect
95. #19128255C22semidirect
96. #19128254C22semidirect
97. #19128254C22semidirect
98. #19128253C22semidirect
99. #19128253C22semidirect
100. #19128252C22semidirect
104. #19128250C22semidirect
105. #19128250C22semidirect
106. #19128250C22semidirect
107. #19128250C22semidirect
108. #19128250C22semidirect
109. #19128249C22semidirect
110. #19128248C22semidirect
111. #19128246C22semidirect
112. C2×#14581790C22semidirect
113. C4⋊Q8×D83C22semidirect
114. C2×#14581788C22semidirect
115. #19128237C22semidirect
116. #19128236C22semidirect
117. #19128235C22semidirect
118. #19128234C22semidirect
119. #19128234C22semidirect
120. #19128234C22semidirect
121. #19128230C22semidirect
122. #19128230C22semidirect
123. #19128229C22semidirect
124. #19128228C22semidirect
125. #19128228C22semidirect
126. #125×D83C22semidirect
127. C2×#14581780C22semidirect
128. #19128214C22semidirect
129. #19128211C22semidirect
130. #19128210C22semidirect
132. #19128209C22semidirect
136. #19128183C22semidirect
137. #19128183C22semidirect
138. #19128180C22semidirect
139. #19128180C22semidirect
140. #19128179C22semidirect
141. #19128178C22semidirect
142. #19128178C22semidirect
143. #19128176C22semidirect
145. #19128175C22semidirect
146. #19128175C22semidirect
149. C4×#13050591C22semidirect
150. C4×#13050591C22semidirect
151. C4×#13050591C22semidirect
153. C4×#13050590C22semidirect
155. #19128169C22semidirect
156. #19128169C22semidirect
158. C4×#13050589C22semidirect
159. C4×#13050589C22semidirect
160. C4×#13050589C22semidirect
161. C4×#13050589C22semidirect
162. C4×Q8×D83C22semidirect
163. C4×Q8×D83C22semidirect
164. C2×(C22⋊D83)⋊C4C22semidirect
166. C4×D4×D83C22semidirect
167. C2×#14581748C22semidirect
171. #117×D83C22semidirect
172. #117×D83C22semidirect
174. C2×C42×D83C22semidirect
175. #559×C83C22semidirect
176. #556×C83C22semidirect
177. #551×C83C22semidirect
178. #542×C83C22semidirect
181. #533×C83C22semidirect
182. #529×C83C22semidirect
183. C2×#124×C83C22semidirect
184. #519×C83C22semidirect
185. #518×C83C22semidirect
558. C2×C4×D83#41semidirect
840. #3510D83semidirect
860. C83#62815semidirect
869. #559C2×D83semidirect
878. #556C2×D83semidirect
896. #551C2×D83semidirect
907. #542C2×D83semidirect
941. #533C2×D83semidirect
968. #529C2×D83semidirect
971. C2×#124C2×D83semidirect
987. #519C2×D83semidirect
993. #518C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249213782
#249213682
#249213612
#249213592
#249213572
#249213482
#249213442
#249213382
#249213342
#249213242
#249213112
#249212942
#249210592
#249210552
#249210182
#249208502
#249207952
#249207942
#249207572
#533×D832
C2×#191282502
#249206652
#249206612
C4×#41×D832
C83×#35102
#6281583