Finite Group Databasebeta

← #36312987

Subgroups — #36312987

Order 21248.

7210 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24921377C214yesmaximal, complemented
2#24921371C212yesmaximal, complemented
3#24921367C212yesmaximal, complemented
4#24921353C214yesmaximal, complemented
5#24921346C212yesmaximal, complemented
6#24921336C212yesmaximal, complemented
7#24921328C211yesmaximal, characteristic, complemented
8#24921327C212yesmaximal, complemented
9#24921317C211yesmaximal, characteristic, complemented
10#24921312C211yesmaximal, characteristic, complemented
11#24921308C212yesmaximal, complemented
12#24921298C214yesmaximal, complemented
13#24921295C214yesmaximal, complemented
14#24921063C212yesmaximal, complemented
15#24921059C212yesmaximal, complemented
16#24921055C214yesmaximal, complemented
17#24921029C212yesmaximal, complemented
18#24921024C212yesmaximal, complemented
19#24921016C214yesmaximal, complemented
20#24920849C214yesmaximal, complemented
21#24920795C212yesmaximal, complemented
22#24920757C214yesmaximal, complemented
23#533×D83C211yesmaximal, characteristic, complemented
24#532×D83C211yesmaximal, characteristic, complemented
25#24920663C212yesmaximal, complemented
26C2×C4×#13050591C211yesmaximal, characteristic, complemented
27C83×#3507C211yesmaximal, characteristic, complemented
28C22×#13050591C2211yescharacteristic
29C2×#41×D83C2212yes—
30#19128436C2214yescomplemented
31#19128436C2214yescomplemented
32#19128436C2212yescomplemented
33#19128434C2214yescomplemented
34#19128433C2214yescomplemented
35#19128433C2214yescomplemented
36#19128429C2212yescomplemented
37#19128426C2214yescomplemented
38#19128425C2212yescomplemented
39#19128425C2214yescomplemented
40#19128424C2212yescomplemented
41#19128424C2212yescomplemented
42#19128423C2214yescomplemented
43#19128423C2214yescomplemented
44#19128422C2214yescomplemented
45#19128420C2214yescomplemented
46#19128417C2212yescomplemented
47#19128416C2212yescomplemented
48#19128414C2214yescomplemented
49#19128411C2212yescomplemented
50#19128409C2214yescomplemented
51#19128404C2214yescomplemented
52#19128404C2214yescomplemented
53#19128404C2218yescomplemented
54#19128402C2218yescomplemented
55#19128402C2218yescomplemented
56#19128401C2214yescomplemented
57#19128399C2214yescomplemented
58#19128397C2214yescomplemented
59#19128396C2218yescomplemented
60#19128395C2214yescomplemented
61#19128395C2218yescomplemented
62#19128393C2214yescomplemented
63#19128392C2214yescomplemented
64#19128392C2214yescomplemented
65#19128389C2214yescomplemented
66#19128385C2214yescomplemented
67#19128383C2218yescomplemented
68#19128378C2218yescomplemented
69#19128376C2218yescomplemented
70#19128376C2218yescomplemented
71#19128375C2218yescomplemented
72#19128373C2212yescomplemented
73#19128372C2214yescomplemented
74#19128371C2212yescomplemented
75#19128363C2214yescomplemented
76#19128361C2218yescomplemented
77#19128359C2214yescomplemented
78#19128355C2212yescomplemented
79#19128354C2212yescomplemented
80#19128352C2214yescomplemented
81#19128346C2214yescomplemented
82#19128344C2214yescomplemented
83#19128343C2218yescomplemented
84#19128321C2218yescomplemented
85#19128317C2218yescomplemented
86#19128310C2218yescomplemented
87#19128303C2218yescomplemented
88#19128298C2214yescomplemented
89#19128295C2218yescomplemented
90#19128291C2214yescomplemented
91#19128288C2214yescomplemented
92#19128284C2218yescomplemented
93#19128281C2214yescomplemented
94#19128281C2214yescomplemented
95#19128276C2214yes—
96#19128275C2212yescomplemented
97#19128270C2212yescomplemented
98#19128269C2214yes—
99#19128265C2212yescomplemented
100#19128262C2218yes—
101#19128258C2211yescharacteristic, complemented
102#19128257C2214yescomplemented
103#19128257C2212yescomplemented
104#19128256C2211yescharacteristic, complemented
105#19128256C2211yescharacteristic, complemented
106#19128255C2214yescomplemented
107#19128255C2212yescomplemented
108#19128255C2212yescomplemented
109#19128254C2212yescomplemented
110#19128253C2212yescomplemented
111#19128253C2212yescomplemented
112#19128252C2211yescharacteristic, complemented
113#19128252C2214yescomplemented
114#19128251C2211yescharacteristic
115#19128250C2214yescomplemented
116#19128250C2212yescomplemented
117#19128250C2214yescomplemented
118#19128249C2211yescharacteristic, complemented
119#19128248C2212yescomplemented
120#19128248C2214yescomplemented
121#19128248C2212yescomplemented
122#19128247C2212yes—
123#19128246C2212yes—
124#19128246C2212yes—
125C4⋊Q8×D83C2211yescharacteristic, complemented
126C4⋊Q8×D83C2211yescharacteristic, complemented
127C4⋊Q8×D83C2211yescharacteristic, complemented
128#127×D83C2211yescharacteristic, complemented
129#19128237C2218yescomplemented
130#19128236C2218yescomplemented
131#19128236C2214yescomplemented
132#19128235C2214yescomplemented
133#19128234C2218yescomplemented
134#19128234C2218yescomplemented
135#19128234C2218yescomplemented
136#19128230C2214yescomplemented
137#19128229C2218yescomplemented
138#19128228C2218yescomplemented
139#19128228C2218yescomplemented
140#125×D83C2212yescomplemented
141#124×D83C2212yescomplemented
142#19128214C2214yes—
143#19128214C2214yes—
144#19128214C2214yescomplemented
145#19128211C2214yescomplemented
146#19128210C2218yescomplemented
147#19128209C2218yescomplemented
148C22⋊Q8×D83C2212yes—
149C22⋊Q8×D83C2212yes—
150#121×D83C2212yes—
151#121×D83C2212yes—
152#19128184C2212yescomplemented
153#19128182C2214yescomplemented
154#19128182C2212yescomplemented
155#19128181C2214yescomplemented
156#19128181C2212yescomplemented
157#19128177C2214yescomplemented
158#19128173C2218yes—
159#19128173C2214yescomplemented
160C4×#13050591C2212yes—
161C4×#13050591C2212yes—
162C4×#13050591C2212yes—
163C4×#13050591C2212yes—
164C4×#13050591C2212yescomplemented
165C4×#13050591C2212yescomplemented
166C4×#13050591C2212yescomplemented
167C4×#13050591C2212yescomplemented
168C4×#13050591C2214yescomplemented
169C4×#13050591C2214yescomplemented
170#19128169C2218yescomplemented
171C4×#13050589C2218yescomplemented
172C4×#13050589C2214yescomplemented
173C4×#13050589C2214yescomplemented
174C2×Q8×Dic83C2211yescharacteristic, complemented
175C4×Q8×D83C2212yescomplemented
176C4×Q8×D83C2212yescomplemented
177C2×C4×D332C2212yes—
178C2×C4×D332C2211yescharacteristic, complemented
179C2×#14581754C2212yes—
180C2×#14581754C2211yescharacteristic, complemented
181C4×D4×D83C2212yescomplemented
182C4×D4×D83C2212yescomplemented
183C2×#14581750C2211yescharacteristic
184C2×#14581750C2212yescomplemented
185C2×#14581750C2214yescomplemented
186#117×D83C2212yes—
187#117×D83C2214yescomplemented
188C2×C42×D83C2211yescharacteristic
189C2×C42×D83C2212yescomplemented
190#559×C83C2212yescomplemented
191#557×C83C2212yescomplemented
192#556×C83C2214yescomplemented
193#556×C83C2212yescomplemented
194#554×C83C2212yescomplemented
195#552×C83C2214yescomplemented
196#539×C83C2214yescomplemented
197#536×C83C2212yescomplemented
198#533×C83C2211yescharacteristic, complemented
199#532×C83C2211yescharacteristic
200#529×C83C2214yescomplemented
201#520×C83C2212yescomplemented
202C2×C4×Q8×C83C2211yescharacteristic, complemented
203C2×#13050591—28no—
204C2×#13050591C2312yes—
205C2×#13050591C2312yes—
206C2×#13050591C2312yes—
207C2×#13050591C2312yes—
208C2×#13050591C2312yes—
209C2×#13050591C2314yes—
210C2×#13050590C2312yes—
211C2×#13050590C2314yes—
212C2×#13050590C2318yes—
213C2×#13050589C2314yes—
214C2×#13050589C2312yes—
215C2×#13050589C2314yes—
216#41×D83—216no—
217C2×Q8×D83C2312yes—
218C2×Q8×D83C2312yes—
219C2×Q8×D83C2312yes—
220C22×D332C2312yes—
221C22×D332C2311yescharacteristic
222C2×D4×D83C2314yes—
223C2×D4×D83C2312yes—
224C2×D4×D83C2312yes—
225C2×D4×D83C2312yes—
226C22×C4×D83C2312yes—
227C22×C4×D83C2314yes—
228C22×C4×D83C2311yescharacteristic
229C22×C4×D83C2311yescharacteristic
230C22×C4×D83C2312yes—
231C22×C4×D83C2312yes—
232C22×C4×D83C2311yescharacteristic
233#14581792C2311yescharacteristic
234#14581792C2311yescharacteristic
235#14581792C2311yescharacteristic
236#14581791C2312yes—
237#14581791C2312yes—
238#14581791C2312yes—
239#14581791C2312yes—
240#14581791C2312yes—
241#14581791C2312yes—
242#14581790C2312yes—
243#14581790C2314yes—
244#14581790C2312yes—
245#14581790C2312yes—
246#14581789C2314yes—
247#14581789C2311yescharacteristic
248#14581788C2314yes—
249#14581788C2312yes—
250#14581788C2312yes—
251#14581788C2312yes—
252#14581787C2318yes—
253#14581787C2318yes—
254#14581787C2318yes—
255#14581787C2318yes—
256#14581787C2318yes—
257#14581787C2318yes—
258#14581786C2318yes—
259#14581786C2318yes—
260#14581785C2318yes—
261#14581785C2318yes—
262#14581784C2312yes—
263#14581784C2314yes—
264#14581783C2312yes—
265#14581783C2318yes—
266#14581783C2312yes—
267#14581782C2318yes—
268#14581782C2318yes—
269#14581782C2318yes—
270#14581782C2314yes—
271#14581782C2314yes—
272#14581781C2318yes—
273#14581781C2314yes—
274#14581781C2314yes—
275#14581781C2312yes—
276#14581780C2314yes—
277#14581780C2318yes—
278#14581780C2312yes—
279#14581780C2314yes—
280#14581779C2312yes—
281#14581778C2314yes—
282#14581778C2318yes—
283#14581778C2318yes—
284#14581778C2318yes—
285#14581778C2314yes—
286#14581777C2318yes—
287#14581777C2318yes—
288#14581777C2318yes—
289#14581777C2318yes—
290#14581777C2318yes—
291#14581777C2318yes—
292#14581777C2318yes—
293#14581776C2318yes—
294#14581776C2318yes—
295#14581775C2318yes—
296#14581775C2318yes—
297#14581774C2318yes—
298#14581774C2318yes—
299#14581774C2318yes—
300#14581772C2312yes—
301#14581772C2314yes—
302#14581772C2318yes—
303#14581772C2312yes—
304#14581771C2312yes—
305#14581771C2312yes—
306#14581770C2318yes—
307#14581770C2318yes—
308#14581770C2314yes—
309#14581770C2318yes—
310#14581770C2314yes—
311#14581770C2318yes—
312#14581769C2318yes—
313#14581769C2314yes—
314#14581769C2314yes—
315#14581768C2312yes—
316#14581768C2314yes—
317#14581768C2312yes—
318#14581768C2314yes—
319#14581768C2314yes—
320#14581767C2318yes—
321#14581767C2314yes—
322#14581767C2314yes—
323#14581767C2314yes—
324#14581767C2318yes—
325#14581767C2312yes—
326#14581767C2318yes—
327#14581767C2312yes—
328#14581766C2318yes—
329#14581766C2314yes—
330#14581766C2314yes—
331#14581766C2312yes—
332#14581766C2312yes—
333#14581765C2318yes—
334#14581765C2318yes—
335#14581765C2318yes—
336#14581765C2318yes—
337#14581765C2314yes—
338#14581765C2318yes—
339#14581765C2314yes—
340#14581765C2318yes—
341#14581764C2318yes—
342#14581764C2314yes—
343#14581764C2314yes—
344#14581763C2314yes—
345#14581763C2312yes—
346#14581763C2312yes—
347#14581762C2318yes—
348#14581762C2318yes—
349#14581762C2318yes—
350#14581760C2318yes—
351Q8×Dic83C2312yes—
352Q8×Dic83C2312yes—
353Q8×Dic83C2312yes—
354Q8×Dic83C2312yes—
355Q8×Dic83C2312yes—
356Q8×Dic83C2312yes—
357Q8×Dic83C2314yes—
358C4×Dic166C2314yes—
359C4×Dic166C2312yes—
360C4×Dic166C2314yes—
361C4×Dic166C2314yes—
362C4×Dic166C2312yes—
363C4×Dic166C2314yes—
364C4×Dic166C2318yes—
365#14581757C2318yes—
366#14581757C2318yes—
367#14581757C2312yes—
368#14581757C2314yes—
369#14581757C2314yes—
370#14581757C2312yes—
371#14581757C2314yes—
372C4×D332C2314yes—
373C4×D332C2314yes—
374C4×D332C2312yes—
375C4×D332C2312yes—
376C4×D332C2314yes—
377C4×D332C2318yes—
378C4×D332C2312yes—
379C4×D332C2314yes—
380C4×D332C2314yes—
381C4×D332C2318yes—
382C4×D332C2312yes—
383C4×D332C2314yes—
384C4×D332C2312yes—
385C4×D332C2312yes—
386D4×Dic83C2314yes—
387D4×Dic83C2312yes—
388D4×Dic83C2312yes—
389D4×Dic83C2318yes—
390#14581754C2314yes—
391#14581754C2312yes—
392#14581754C2314yes—
393#14581754C2318yes—
394#14581754C2312yes—
395#14581754C2314yes—
396#14581754C2314yes—
397#14581754C2318yes—
398#14581754C2312yes—
399#14581754C2314yes—
400#14581754C2312yes—
401#14581754C2312yes—
402#14581754C2312yes—
403#14581754C2318yes—
404#14581754C2318yes—
405C4×C22⋊D83C2318yes—
406C4×C22⋊D83C2314yes—
407C4×C22⋊D83C2318yes—
408C4×C22⋊D83C2318yes—
409C4×C22⋊D83C2314yes—
410C4×C22⋊D83C2318yes—
411(C22⋊D83)⋊C4C2318yes—
412(C22⋊D83)⋊C4C2318yes—
413(C22⋊D83)⋊C4C2318yes—
414(C22⋊D83)⋊C4C2314yes—
415(C22⋊D83)⋊C4C2314yes—
416(C22⋊D83)⋊C4C2318yes—
417(C22⋊D83)⋊C4C2318yes—
418(C22⋊D83)⋊C4C2318yes—
419(C22⋊D83)⋊C4C2318yes—
420#14581751C2314yes—
421#14581751C2312yes—
422#14581750C2314yes—
423#14581750C2318yes—
424#14581750C2318yes—
425#14581750C2314yes—
426#14581750C2314yes—
427#14581750C2314yes—
428#14581750C2314yes—
429#14581750C2312yes—
430#14581750C2312yes—
431#14581750C2312yes—
432#14581750C2312yes—
433#14581750C2312yes—
434#14581750C2312yes—
435#14581750C2318yes—
436#14581750C2314yes—
437#14581750C2314yes—
438#14581750C2314yes—
439#14581749C2318yes—
440#14581749C2318yes—
441#14581749C2318yes—
442#14581749C2314yes—
443#14581748C2318yes—
444#14581748C2314yes—
445#14581748C2318yes—
446C2×C4⋊Dic83C2314yes—
447C2×C4⋊Dic83C2311yescharacteristic
448C2×C4⋊Dic83C2312yes—
449C4⋊C4×D83C2314yes—
450C4⋊C4×D83C2314yes—
451C4⋊C4×D83C2312yes—
452C4⋊C4×D83C2312yes—
453C4⋊C4×D83C2314yes—
454C4⋊C4×D83C2314yes—
455C4⋊C4×D83C2312yes—
456C4⋊C4×D83C2312yes—
457C4⋊C4×D83C2312yes—
458C4⋊C4×D83C2312yes—
459C2×(C2×D83)⋊C4C2318yes—
460C2×(C2×D83)⋊C4C2312yes—
461C2×(C2×D83)⋊C4C2312yes—
462C2×(C2×D83)⋊C4C2312yes—
463C22⋊C4×D83C2318yes—
464C22⋊C4×D83C2314yes—
465C22⋊C4×D83C2314yes—
466C22⋊C4×D83C2314yes—
467C2×C4×Dic83C2311yescharacteristic
468C2×C4×Dic83C2311yescharacteristic
469C2×C4×Dic83C2311yescharacteristic
470C2×C4×Dic83C2312yes—
471C2×C4×Dic83C2312yes—
472C2×C4×Dic83C2318yes—
473C42×D83C2311yescharacteristic
474C42×D83C2311yescharacteristic
475C42×D83C2311yescharacteristic
476C42×D83C2311yescharacteristic
477C42×D83C2311yescharacteristic
478C42×D83C2311yescharacteristic
479C42×D83C2311yescharacteristic
480C42×D83C2311yescharacteristic
481C42×D83C2314yes—
482C42×D83C2314yes—
483C42×D83C2314yes—
484C42×D83C2314yes—
485C42×D83C2314yes—
486C42×D83C2318yes—
487C2×#41×C83C2312yes—
488C22×Q8×C83C2311yescharacteristic
489C4⋊Q8×C83C2311yescharacteristic
490C4⋊Q8×C83C2311yescharacteristic
491C4⋊Q8×C83C2311yescharacteristic
492C4⋊Q8×C83C2314yes—
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×C83C2312yes—
508C22⋊Q8×C83C2314yes—
509#121×C83C2312yes—
510#121×C83C2312yes—
511C4×Q8×C83C2314yes—
512C4×Q8×C83C2312yes—
513C4×Q8×C83C2312yes—
514C4×Q8×C83C2312yes—
515C4×Q8×C83C2312yes—
516C4×Q8×C83C2312yes—
517C4×Q8×C83C2314yes—
518C4×Q8×C83C2312yes—
519C4×D4×C83C2314yes—
520C4×D4×C83C2312yes—
521C4×D4×C83C2314yes—
522C4×D4×C83C2318yes—
523C4×D4×C83C2312yes—
524#117×C83C2318yes—
525#117×C83C2312yes—
526#117×C83C2314yes—
527C2×C4⋊C4×C83C2314yes—
528C2×C4⋊C4×C83C2311yescharacteristic
529C2×C4⋊C4×C83C2312yes—
530C2×C42×C83C2312yes—
531C2×C42×C83C2311yescharacteristic
532C23×D83C2412yes—
533C23×D83C2414yes—
534C23×D83C2411yescharacteristic
535#13050591—28no—
536#13050591—28no—
537#13050591—28no—
538#13050591—28no—
539#13050591—28no—
540#13050591—48no—
541#13050590—28no—
542#13050590—216no—
543#13050590—416no—
544#13050589—216no—
545#13050589—28no—
546#13050589—48no—
547C2×Dic166C2414yes—
548C2×Dic166C2414yes—
549C2×Dic166C2412yes—
550C2×Dic166C2412yes—
551C2×Dic166C2414yes—
552C2×Dic166C2412yes—
553Q8×D83—28no—
554Q8×D83—44no—
555Q8×D83—44no—
556C2×D332—28no—
557C2×D332—24no—
558C2×D332C2414yes—
559C2×D332C2414yes—
560C2×D332C2414yes—
561C2×D332C2412yes—
562C2×D332C2412yes—
563C2×D332C2412yes—
564C2×D332C2412yes—
565C2×D332C2418yes—
566C2×D332C2418yes—
567C2×D332C2412yes—
568C2×C22⋊D83C2414yes—
569C2×C22⋊D83C2414yes—
570C2×C22⋊D83C2414yes—
571C2×C22⋊D83C2414yes—
572C2×C22⋊D83C2418yes—
573C2×C22⋊D83C2418yes—
574C2×C22⋊D83C2414yes—
575D4×D83—216no—
576D4×D83—28no—
577D4×D83—44no—
578D4×D83—44no—
579C22×Dic83C2411yescharacteristic
580C22×Dic83C2414yes—
581C22×Dic83C2411yescharacteristic
582C22×Dic83C2418yes—
583C22×Dic83C2412yes—
584C22×Dic83C2411yescharacteristic
585C2×C4×D83—28no—
586C2×C4×D83—216no—
587C2×C4×D83—42no—
588C2×C4×D83—44no—
589C2×C4×D83—42no—
590C2×C4×D83—44no—
591C2×C4×D83#4118yescomplemented
592C2×C4×D83C2411yescharacteristic
593C2×C4×D83C2414yes—
594C2×C4×D83C2414yes—
595C2×C4×D83C2411yescharacteristic
596C2×C4×D83C2414yes—
597C2×C4×D83C2414yes—
598C2×C4×D83C2411yescharacteristic
599C2×C4×D83C2411yescharacteristic
600C2×C4×D83C2414yes—
601C2×C4×D83C2414yes—
602C2×C4×D83C2414yes—
603C2×C4×D83C2411yescharacteristic
604C2×C4×D83C2411yescharacteristic
605C2×C4×D83C2414yes—
606C2×C4×D83C2414yes—
607C2×C4×D83C2418yes—
608C2×C4×D83C2418yes—
609C2×C4×D83C2411yescharacteristic
610C2×C4×D83C2411yescharacteristic
611C2×C4×D83C2414yes—
612C2×C4×D83C2414yes—
613C2×C4×D83C2411yescharacteristic
614C2×C4×D83C2411yescharacteristic
615C2×C4×D83C2411yescharacteristic
616C2×C4×D83C2411yescharacteristic
617C4⋊Dic83C2412yes—
618C4⋊Dic83C2412yes—
619C4⋊Dic83C2412yes—
620C4⋊Dic83C2412yes—
621C4⋊Dic83C2412yes—
622C4⋊Dic83C2414yes—
623C4⋊Dic83C2412yes—
624C4⋊Dic83C2414yes—
625C4⋊Dic83C2414yes—
626C4⋊Dic83C2418yes—
627C4⋊Dic83C2414yes—
628C4⋊Dic83C2412yes—
629C4⋊Dic83C2412yes—
630Dic83⋊C4C2414yes—
631Dic83⋊C4C2414yes—
632Dic83⋊C4C2414yes—
633Dic83⋊C4C2414yes—
634Dic83⋊C4C2414yes—
635Dic83⋊C4C2414yes—
636Dic83⋊C4C2414yes—
637Dic83⋊C4C2418yes—
638Dic83⋊C4C2418yes—
639Dic83⋊C4C2418yes—
640Dic83⋊C4C2414yes—
641Dic83⋊C4C2414yes—
642Dic83⋊C4C2418yes—
643Dic83⋊C4C2414yes—
644C22⋊Dic83C2414yes—
645C22⋊Dic83C2414yes—
646C22⋊Dic83C2418yes—
647C22⋊Dic83C2414yes—
648(C2×D83)⋊C4C2418yes—
649(C2×D83)⋊C4C2418yes—
650(C2×D83)⋊C4C2414yes—
651(C2×D83)⋊C4C2414yes—
652(C2×D83)⋊C4C2418yes—
653(C2×D83)⋊C4C2418yes—
654(C2×D83)⋊C4C2418yes—
655(C2×D83)⋊C4C2418yes—
656(C2×D83)⋊C4C2414yes—
657(C2×D83)⋊C4C2414yes—
658(C2×D83)⋊C4C2414yes—
659(C2×D83)⋊C4C2414yes—
660(C2×D83)⋊C4C2414yes—
661(C2×D83)⋊C4C2414yes—
662(C2×D83)⋊C4C2418yes—
663(C2×D83)⋊C4C2418yes—
664(C2×D83)⋊C4C2414yes—
665(C2×D83)⋊C4C2414yes—
666(C2×D83)⋊C4C2414yes—
667(C2×D83)⋊C4C2414yes—
668C4×Dic83C2411yescharacteristic
669C4×Dic83C2411yescharacteristic
670C4×Dic83C2414yes—
671C4×Dic83C2418yes—
672C4×Dic83C2418yes—
673C4×Dic83C2411yescharacteristic
674C4×Dic83C2414yes—
675C4×Dic83C2418yes—
676C4×Dic83C2411yescharacteristic
677C4×Dic83C2411yescharacteristic
678C4×Dic83C2414yes—
679C4×Dic83C2411yescharacteristic
680C4×Dic83C2411yescharacteristic
681C4×Dic83C2411yescharacteristic
682C4×Dic83C2411yescharacteristic
683C4×Dic83C2411yescharacteristic
684C4×Dic83C2414yes—
685C4×Dic83C2414yes—
686C4×Dic83C2411yescharacteristic
687C4×Dic83C2414yes—
688C4×Dic83C2411yescharacteristic
689C4×Dic83C2414yes—
690#41×C83—28no—
691C2×Q8×C83—24no—
692C2×Q8×C83C2412yes—
693C2×Q8×C83C2412yes—
694C2×Q8×C83C2412yes—
695C2×Q8×C83C2412yes—
696C2×Q8×C83C2412yes—
697C2×D4×C83C2414yes—
698C2×D4×C83C2412yes—
699C2×D4×C83C2412yes—
700C2×D4×C83C2412yes—
701C22×C4×C83C2411yescharacteristic
702C22×C4×C83C2414yes—
703C22×C4×C83C2412yes—
704C22×C4×C83C2411yescharacteristic
705C22×C4×C83C2418yes—
706C22×C4×C83C2412yes—
707C22×C4×C83C2411yescharacteristic
708C4⋊C4×C83C2414yes—
709C4⋊C4×C83C2412yes—
710C4⋊C4×C83C2412yes—
711C4⋊C4×C83C2412yes—
712C4⋊C4×C83C2418yes—
713C4⋊C4×C83C2418yes—
714C4⋊C4×C83C2412yes—
715C4⋊C4×C83C2412yes—
716C4⋊C4×C83C2414yes—
717C4⋊C4×C83C2414yes—
718C4⋊C4×C83C2418yes—
719C4⋊C4×C83C2412yes—
720C4⋊C4×C83C2414yes—
721C4⋊C4×C83C2412yes—
722C4⋊C4×C83C2412yes—
723C22⋊C4×C83C2414yes—
724C22⋊C4×C83C2418yes—
725C22⋊C4×C83C2418yes—
726C22⋊C4×C83C2418yes—
727C22⋊C4×C83C2414yes—
728C22⋊C4×C83C2414yes—
729C42×C83C2411yescharacteristic
730C42×C83C2414yes—
731C42×C83C2418yes—
732C42×C83C2414yes—
733C42×C83C2411yescharacteristic
734C42×C83C2414yes—
735C42×C83C2411yescharacteristic
736C42×C83C2411yescharacteristic
737C23×C83C2514yes—
738C23×C83C2511yescharacteristic
739C22×D83—24no—
740C22×D83—28no—
741C22×D83—41no—
742C22×D83—41no—
743C22×D83—42no—
744C22×D83—42no—
745C22×D83—44no—
746C22×D83—44no—
747C22×D83C2×#4114yes—
748C22×D83C2514yes—
749C22×D83C2514yes—
750C22×D83C2511yescharacteristic
751C22×D83C2511yescharacteristic
752Q8×C83—24no—
753Q8×C83—24no—
754Q8×C83—24no—
755Q8×C83—24no—
756Q8×C83—42no—
757D4×C83—28no—
758D4×C83—24no—
759D4×C83—24no—
760D4×C83—42no—
761C2×C4×C83—24no—
762C2×C4×C83—28no—
763C2×C4×C83—22no—
764C2×C4×C83—41no—
765C2×C4×C83—42no—
766C2×C4×C83—48no—
767C2×C4×C83C2×#4114yes—
768C2×C4×C83C2511yescharacteristic
769C2×C4×C83C2514yes—
770C2×C4×C83C2514yes—
771C2×C4×C83C2511yescharacteristic
772C2×C4×C83C2514yes—
773C2×C4×C83C2514yes—
774C2×C4×C83C2511yescharacteristic
775C2×C4×C83C2514yes—
776C2×C4×C83C2511yescharacteristic
777C2×C4×C83C2511yescharacteristic
778C2×C4×C83C2511yescharacteristic
779C22⋊D83—28no—
780C22⋊D83—28no—
781C22⋊D83—28no—
782C22⋊D83—28no—
783C22⋊D83—44no—
784C22⋊D83—48no—
785C22⋊D83—48no—
786C2×Dic83—28no—
787C2×Dic83—22no—
788C2×Dic83—41no—
789C2×Dic83—42no—
790C2×Dic83—48no—
791C2×Dic83C2×#4114yes—
792C2×Dic83C2514yes—
793C2×Dic83C2511yescharacteristic
794C2×Dic83C2511yescharacteristic
795C2×Dic83C2514yes—
796C2×Dic83C2514yes—
797C2×Dic83C2514yes—
798C2×Dic83C2511yescharacteristic
799C2×Dic83C2511yescharacteristic
800C2×Dic83C2511yescharacteristic
801C2×Dic83C2511yescharacteristic
802D332—28no—
803D332—28no—
804D332—28no—
805D332—24no—
806D332—24no—
807D332—24no—
808D332—24no—
809D332—42no—
810D332—48no—
811D332—48no—
812C4×D83—28no—
813C4×D83—28no—
814C4×D83—22no—
815C4×D83—22no—
816C4×D83—28no—
817C4×D83—28no—
818C4×D83—28no—
819C4×D83—28no—
820C4×D83—22no—
821C4×D83—22no—
822C4×D83—28no—
823C4×D83—41no—
824C4×D83—44no—
825C4×D83—41no—
826C4×D83—41no—
827C4×D83—44no—
828C4×D83—41no—
829C4×D83—44no—
830C4×D83—44no—
831C4×D83—48no—
832C4×D83—48no—
833C4×D83C2×#4114yes—
834C4×D83C2×#4114yes—
835C4×D83C2×#4114yes—
836C4×D83C2×#4114yes—
837Dic166—24no—
838Dic166—24no—
839Dic166—28no—
840Dic166—28no—
841Dic166—42no—
842Dic166—44no—
843C22×C83—21no—
844C22×C83—21no—
845C22×C83—24no—
846C22×C83—24no—
847C22×C83—24no—
848C22×C83C22×#4112yes—
849C22×C83C2611yescharacteristic
850C2×D83—21no—
851C2×D83—21no—
852C2×D83—21no—
853C2×D83—21no—
854C2×D83—24no—
855C2×D83—24no—
856C2×D83—24no—
857C2×D83—24no—
858C2×D83—24no—
859C2×D83—24no—
860C2×D83—44no—
861C2×D83—48no—
862C2×D83—88no—
863C2×D83C22×#4112yes—
864C2×D83C22×#4112yes—
865C4×C83—24no—
866C4×C83—24no—
867C4×C83—24no—
868C4×C83—21no—
869C4×C83—24no—
870C4×C83—24no—
871C4×C83—21no—
872C4×C83—21no—
873C4×C83C22×#4112yes—
874C4×C83C22×#4112yes—
875C4×C83#58512yes—
876Dic83—24no—
877Dic83—24no—
878Dic83—24no—
879Dic83—21no—
880Dic83—24no—
881Dic83—21no—
882Dic83—21no—
883Dic83C22×#4112yes—
884Dic83C22×#4112yes—
885Dic83#58512yes—
886#62815—831nomaximal, Sylow
887C2×C83—22no—
888C2×C83—44no—
889C2×C83C23×#4111yescharacteristic
890C2×C83C2×#58511yescharacteristic
891C2×C83C2×#58511yescharacteristic
892D83—22no—
893D83—22no—
894D83—44no—
895D83—44no—
896#3512—834no—
897#3511—832no—
898#3511—832no—
899#3510—834no—
900#3509—832no—
901#3508—832no—
902#3507—832no—
903#3507—831no—
904#3507D8311yescharacteristic, complemented
905#3506—831no—
906#3506—831no—
907#3506—832no—
908#3505—834no—
909#3505—834no—
910#3480—832no—
911#3480—832no—
912#3480—834no—
913#3475—832no—
914#3475—832no—
915#3475—834no—
916#3455—834no—
917#3449—832no—
918#3444—834no—
919C2×#533—831no—
920C2×#532—831no—
921#3428—832no—
922C2×C4×#41—831no—
923C83#6281511yescharacteristic, complemented, Sylow
924C22×#41—832no—
925C22×#41—831no—
926#559—834no—
927#559—834no—
928#559—834no—
929#559—834no—
930#559—832no—
931#559—834no—
932#559C2×D8312yescomplemented
933#557—834no—
934#557—832no—
935#557C2×D8312yescomplemented
936#556—832no—
937#556—834no—
938#556—834no—
939#556—834no—
940#556—834no—
941#556—834no—
942#556—832no—
943#556—832no—
944#556C2×D8312yescomplemented
945#556C2×D8314yescomplemented
946#555—832no—
947#555—832no—
948#555—834no—
949#554—834no—
950#554—832no—
951#554C2×D8312yescomplemented
952#553—838no—
953#553—838no—
954#553—834no—
955#553—834no—
956#553—838no—
957#553—838no—
958#553—834no—
959#553—834no—
960#553—834no—
961#553—838no—
962#553—834no—
963#552—838no—
964#552—834no—
965#552—834no—
966#552—834no—
967#552—834no—
968#552—834no—
969#552C2×D8314yescomplemented
970#551—838no—
971#551—838no—
972#551—838no—
973#551—838no—
974#550—832no—
975#550—832no—
976#550—834no—
977#548—834no—
978#548—838no—
979#548—834no—
980#547—832no—
981#547—832no—
982#547—834no—
983#546—834no—
984#546—838no—
985#546—834no—
986#542—838no—
987#542—838no—
988#541—838no—
989#540—838no—
990#539—838no—
991#539—834no—
992#539C2×D8314yescomplemented
993#538—834no—
994#538—834no—
995#538—838no—
996#537—834no—
997#537—834no—
998#536—832no—
999#536—834no—
1000#536C2×D8312yescomplemented
1001#535—832no—
1002#535—834no—
1003#535—832no—
1004#534—838no—
1005#533—831no—
1006#533—831no—
1007#533—832no—
1008#533—834no—
1009#533—832no—
1010#533—832no—
1011#533—832no—
1012#533—832no—
1013#533—834no—
1014#533—832no—
1015#533—831no—
1016#533C2×D8311yescharacteristic, complemented
1017#532—832no—
1018#532—831no—
1019#532—834no—
1020#532—831no—
1021#532—832no—
1022#532—834no—
1023#532—834no—
1024#532—832no—
1025#532—832no—
1026#532—832no—
1027#532—832no—
1028#532—834no—
1029#532—831no—
1030#532C2×D8311yescharacteristic
1031C2×C4⋊Q8—831no—
1032C2×C4⋊Q8—831no—
1033C2×C4⋊Q8—831no—
1034C2×#127—831no—
1035#529—838no—
1036#529—838no—
1037#529—838no—
1038#529—834no—
1039#529—838no—
1040#529—834no—
1041#529—838no—
1042#529—838no—
1043#529—838no—
1044#529—838no—
1045#529—834no—
1046#529C2×D8314yescomplemented
1047C2×#125—832no—
1048C2×#124—832no—
1049#525—838no—
1050#525—834no—
1051#525—834no—
1052#525—834no—
1053#525—834no—
1054#525—838no—
1055C2×C22⋊Q8—832no—
1056C2×C22⋊Q8—832no—
1057C2×#121—832no—
1058C2×#121—832no—
1059#520—832no—
1060#520—832no—
1061#520—834no—
1062#520—832no—
1063#520—834no—
1064#520C2×D8312yescomplemented
1065#519—834no—
1066#518—838no—
1067#518—834no—
1068C4×#41—832no—
1069C4×#41—832no—
1070C4×#41—832no—
1071C4×#41—832no—
1072C4×#41—832no—
1073C4×#41—832no—
1074C4×#41—832no—
1075C4×#41—832no—
1076C4×#41—834no—
1077C4×#41—834no—
1078C4×#41—838no—
1079C4×#41—834no—
1080C4×#41—834no—
1081C4×#41—838no—
1082C2×C4×Q8—831no—
1083C2×C4×Q8—832no—
1084C2×C4×Q8—832no—
1085C2×C4×Q8C2×D8311yescharacteristic, complemented
1086C2×C4×D4—832no—
1087C2×C4×D4—832no—
1088C2×C4×D4—832no—
1089C2×C4×D4—831no—
1090C2×C4×D4—832no—
1091C2×C4×D4—831no—
1092C2×#117—832no—
1093C2×#117—834no—
1094C2×#117—831no—
1095C2×#117—832no—
1096C2×#117—834no—
1097C22×C42—831no—
1098C22×C42—832no—
1099C2×#41—834no—
1100C2×#41—832no—
1101C2×#41—832no—
1102C2×#41—832no—
1103C2×#41—832no—
1104C2×#41—832no—
1105C2×#41—834no—
1106C2×#41—834no—
1107C2×#41—832no—
1108C2×#41—838no—
1109C2×#41—832no—
1110C2×#41—834no—
1111C2×#41—1668no—
1112C2×#41—16616no—
1113C2×#41C22×D8312yes—
1114C22×Q8—832no—
1115C22×Q8—832no—
1116C22×Q8—832no—
1117C22×Q8C22×D8311yescharacteristic
1118C22×D4—832no—
1119C22×D4—832no—
1120C22×D4—834no—
1121C22×D4—832no—
1122C22×D4—832no—
1123C22×D4—831no—
1124C23×C4—831no—
1125C23×C4—831no—
1126C23×C4—832no—
1127C23×C4—832no—
1128C23×C4—831no—
1129C23×C4—834no—
1130C23×C4—832no—
1131C4⋊Q8—832no—
1132C4⋊Q8—832no—
1133C4⋊Q8—832no—
1134C4⋊Q8—834no—
1135C4⋊Q8—832no—
1136C4⋊Q8—832no—
1137C4⋊Q8—832no—
1138C4⋊Q8—832no—
1139C4⋊Q8—832no—
1140C4⋊Q8—832no—
1141C4⋊Q8—831no—
1142C4⋊Q8—831no—
1143C4⋊Q8—831no—
1144C4⋊Q8C22×D8311yescharacteristic
1145C4⋊Q8C22×D8311yescharacteristic
1146C4⋊Q8C22×D8311yescharacteristic
1147C4⋊Q8C22×D8314yes—
1148#127—832no—
1149#127—832no—
1150#127—832no—
1151#127—834no—
1152#127—831no—
1153#127—834no—
1154#127C22×D8311yescharacteristic
1155#126—838no—
1156#126—838no—
1157#126—838no—
1158#126—838no—
1159#126—838no—
1160#126—838no—
1161#126—838no—
1162#126—838no—
1163#126—838no—
1164#126—838no—
1165#126C22×D8318yes—
1166#126C22×D8318yes—
1167#125—834no—
1168#125—834no—
1169#125—832no—
1170#125—832no—
1171#125—838no—
1172#125—838no—
1173#125—838no—
1174#125—838no—
1175#125—832no—
1176#125—834no—
1177#125C22×D8312yes—
1178#125C22×D8314yes—
1179#125C22×D8318yes—
1180#124—832no—
1181#124—838no—
1182#124—834no—
1183#124—834no—
1184#124—832no—
1185#124—834no—
1186#124—834no—
1187#124—838no—
1188#124—838no—
1189#124—838no—
1190#124—832no—
1191#124—834no—
1192#124—838no—
1193#124—834no—
1194#124C22×D8312yes—
1195#124C22×D8314yes—
1196#124C22×D8314yes—
1197#123—838no—
1198#123—838no—
1199#123—838no—
1200#123—838no—
1201#123—838no—
1202#123—838no—
1203#123—838no—
1204#123—838no—
1205#123—838no—
1206#123—838no—
1207#123—838no—
1208#123—838no—
1209#123—838no—
1210#123—838no—
1211#123C22×D8318yes—
1212#123C22×D8318yes—
1213C22⋊Q8—832no—
1214C22⋊Q8—832no—
1215C22⋊Q8—834no—
1216C22⋊Q8—834no—
1217C22⋊Q8—834no—
1218C22⋊Q8—832no—
1219C22⋊Q8—832no—
1220C22⋊Q8—834no—
1221C22⋊Q8—834no—
1222C22⋊Q8—838no—
1223C22⋊Q8—838no—
1224C22⋊Q8—838no—
1225C22⋊Q8—838no—
1226C22⋊Q8—832no—
1227C22⋊Q8—832no—
1228C22⋊Q8—834no—
1229C22⋊Q8—838no—
1230C22⋊Q8—834no—
1231C22⋊Q8—834no—
1232C22⋊Q8—838no—
1233C22⋊Q8C22×D8312yes—
1234C22⋊Q8C22×D8312yes—
1235C22⋊Q8C22×D8314yes—
1236C22⋊Q8C22×D8314yes—
1237C22⋊Q8C22×D8318yes—
1238#121—832no—
1239#121—832no—
1240#121—834no—
1241#121—834no—
1242#121—834no—
1243#121—838no—
1244#121—832no—
1245#121—832no—
1246#121—834no—
1247#121—834no—
1248#121—838no—
1249#121—832no—
1250#121—832no—
1251#121—834no—
1252#121—834no—
1253#121—834no—
1254#121—838no—
1255#121—838no—
1256#121—838no—
1257#121—834no—
1258#121—834no—
1259#121—838no—
1260#121—838no—
1261#121—838no—
1262#121—838no—
1263#121—838no—
1264#121—838no—
1265#121C22×D8312yes—
1266#121C22×D8312yes—
1267#120—838no—
1268#120—838no—
1269#120—838no—
1270#120—838no—
1271C4×Q8—832no—
1272C4×Q8—832no—
1273C4×Q8—832no—
1274C4×Q8—832no—
1275C4×Q8—832no—
1276C4×Q8—832no—
1277C4×Q8—834no—
1278C4×Q8—834no—
1279C4×Q8—832no—
1280C4×Q8—832no—
1281C4×Q8—834no—
1282C4×Q8—838no—
1283C4×Q8—834no—
1284C4×Q8—838no—
1285C4×Q8—834no—
1286C4×Q8—832no—
1287C4×Q8—834no—
1288C4×Q8—832no—
1289C4×Q8—838no—
1290C4×Q8—834no—
1291C4×Q8—834no—
1292C4×Q8C22×D8312yes—
1293C4×Q8C22×D8312yes—
1294C4×Q8C22×D8312yes—
1295C4×Q8C22×D8312yes—
1296C4×Q8C22×D8312yes—
1297C4×Q8C22×D8312yes—
1298C4×Q8C22×D8314yes—
1299C4×Q8C22×D8314yes—
1300C4×D4—832no—
1301C4×D4—832no—
1302C4×D4—838no—
1303C4×D4—834no—
1304C4×D4—834no—
1305C4×D4—834no—
1306C4×D4—838no—
1307C4×D4—838no—
1308C4×D4—838no—
1309C4×D4—838no—
1310C4×D4—832no—
1311C4×D4—834no—
1312C4×D4—832no—
1313C4×D4—834no—
1314C4×D4—832no—
1315C4×D4—834no—
1316C4×D4—834no—
1317C4×D4—832no—
1318C4×D4—832no—
1319C4×D4—832no—
1320C4×D4—838no—
1321C4×D4—834no—
1322C4×D4—838no—
1323C4×D4—838no—
1324C4×D4—838no—
1325C4×D4—834no—
1326C4×D4—834no—
1327C4×D4—838no—
1328C4×D4—838no—
1329C4×D4—838no—
1330C4×D4—838no—
1331C4×D4—838no—
1332C4×D4—838no—
1333C4×D4—838no—
1334C4×D4—834no—
1335C4×D4—832no—
1336C4×D4—834no—
1337C4×D4—832no—
1338C4×D4—834no—
1339C4×D4—834no—
1340C4×D4—832no—
1341C4×D4—832no—
1342C4×D4—832no—
1343C4×D4—832no—
1344C4×D4—838no—
1345C4×D4—834no—
1346C4×D4—838no—
1347C4×D4—834no—
1348C4×D4C22×D8312yes—
1349C4×D4C22×D8312yes—
1350C4×D4C22×D8318yes—
1351C4×D4C22×D8314yes—
1352C4×D4C22×D8314yes—
1353#117—832no—
1354#117—834no—
1355#117—832no—
1356#117—832no—
1357#117—832no—
1358#117—832no—
1359#117—832no—
1360#117—832no—
1361#117—834no—
1362#117—834no—
1363#117—838no—
1364#117—834no—
1365#117—834no—
1366#117—838no—
1367#117—834no—
1368#117—834no—
1369#117—834no—
1370#117—834no—
1371#117—838no—
1372#117—834no—
1373#117—838no—
1374#117—838no—
1375#117—834no—
1376#117—838no—
1377#117—838no—
1378#117—838no—
1379#117C22×D8312yes—
1380#117C22×D8314yes—
1381#117C22×D8318yes—
1382C2×C4⋊C4—831no—
1383C2×C4⋊C4—832no—
1384C2×C4⋊C4—834no—
1385C2×C4⋊C4—832no—
1386C2×C4⋊C4—832no—
1387C2×C4⋊C4—834no—
1388C2×C4⋊C4—834no—
1389C2×C4⋊C4—832no—
1390C2×C4⋊C4—832no—
1391C2×C4⋊C4—834no—
1392C2×C4⋊C4—834no—
1393C2×C4⋊C4—832no—
1394C2×C4⋊C4—832no—
1395C2×C4⋊C4C22×D8311yescharacteristic
1396C2×C4⋊C4C22×D8312yes—
1397C2×C4⋊C4C22×D8314yes—
1398C2×C22⋊C4—832no—
1399C2×C22⋊C4—832no—
1400C2×C22⋊C4—832no—
1401C2×C22⋊C4—838no—
1402C2×C22⋊C4—834no—
1403C2×C22⋊C4—838no—
1404C2×C22⋊C4—834no—
1405C2×C22⋊C4—834no—
1406C2×C42—832no—
1407C2×C42—831no—
1408C2×C42—838no—
1409C2×C42—832no—
1410C2×C42—831no—
1411C2×C42—831no—
1412C2×C42—834no—
1413C2×C42—838no—
1414C2×C42—831no—
1415C2×C42—831no—
1416C2×C42—831no—
1417C2×C42—831no—
1418C2×C42—834no—
1419C2×C42—834no—
1420C2×C42—831no—
1421C2×C42—831no—
1422C2×C42—834no—
1423C2×C42—831no—
1424C2×C42—831no—
1425C2×C42—834no—
1426C2×C42C22×D8312yes—
1427C2×C42C22×D8311yescharacteristic
1428C24—831no—
1429C24—834no—
1430C24—832no—
1431#41—28no—
1432#41—33216no—
1433#41—3328no—
1434#41—3328no—
1435#41—16616no—
1436#41—16616no—
1437#41—1668no—
1438#41—1668no—
1439#41—1668no—
1440#41—1668no—
1441#41—1668no—
1442#41—1668no—
1443#41—1668no—
1444C2×Q8—24no—
1445C2×Q8—3324no—
1446C2×Q8—3324no—
1447C2×Q8—834no—
1448C2×Q8—832no—
1449C2×Q8—834no—
1450C2×Q8—834no—
1451C2×Q8—832no—
1452C2×Q8—832no—
1453C2×Q8—1668no—
1454C2×Q8C23×D8312yes—
1455C2×Q8C23×D8312yes—
1456C2×Q8C23×D8312yes—
1457C2×Q8C23×D8312yes—
1458C2×Q8C23×D8312yes—
1459C2×D4—3324no—
1460C2×D4—3324no—
1461C2×D4—838no—
1462C2×D4—838no—
1463C2×D4—834no—
1464C2×D4—834no—
1465C2×D4—834no—
1466C2×D4—834no—
1467C2×D4—834no—
1468C2×D4—838no—
1469C2×D4—838no—
1470C2×D4—832no—
1471C2×D4—834no—
1472C2×D4—834no—
1473C2×D4—834no—
1474C2×D4—832no—
1475C2×D4—832no—
1476C2×D4—832no—
1477C2×D4—832no—
1478C2×D4—1668no—
1479C2×D4—1668no—
1480C2×D4—16616no—
1481C2×D4—1664no—
1482C2×D4C23×D8314yes—
1483C2×D4C23×D8312yes—
1484C2×D4C23×D8312yes—
1485C2×D4C23×D8312yes—
1486C22×C4—3322no—
1487C22×C4—3324no—
1488C22×C4—3322no—
1489C22×C4—3324no—
1490C22×C4—832no—
1491C22×C4—831no—
1492C22×C4—838no—
1493C22×C4—831no—
1494C22×C4—831no—
1495C22×C4—831no—
1496C22×C4—831no—
1497C22×C4—834no—
1498C22×C4—834no—
1499C22×C4—834no—
1500C22×C4—834no—
1501C22×C4—838no—
1502C22×C4—838no—
1503C22×C4—831no—
1504C22×C4—838no—
1505C22×C4—831no—
1506C22×C4—831no—
1507C22×C4—831no—
1508C22×C4—831no—
1509C22×C4—831no—
1510C22×C4—834no—
1511C22×C4—831no—
1512C22×C4—831no—
1513C22×C4—831no—
1514C22×C4—831no—
1515C22×C4—834no—
1516C22×C4—834no—
1517C22×C4—834no—
1518C22×C4—834no—
1519C22×C4—834no—
1520C22×C4—834no—
1521C22×C4—834no—
1522C22×C4—1668no—
1523C22×C4—16616no—
1524C22×C4C23×D8311yescharacteristic
1525C22×C4C23×D8312yes—
1526C22×C4C23×D8314yes—
1527C22×C4C23×D8312yes—
1528C22×C4C23×D8311yescharacteristic
1529C22×C4C23×D8318yes—
1530C22×C4C23×D8311yescharacteristic
1531C4⋊C4—832no—
1532C4⋊C4—832no—
1533C4⋊C4—832no—
1534C4⋊C4—832no—
1535C4⋊C4—834no—
1536C4⋊C4—834no—
1537C4⋊C4—834no—
1538C4⋊C4—834no—
1539C4⋊C4—832no—
1540C4⋊C4—832no—
1541C4⋊C4—834no—
1542C4⋊C4—834no—
1543C4⋊C4—838no—
1544C4⋊C4—838no—
1545C4⋊C4—834no—
1546C4⋊C4—838no—
1547C4⋊C4—834no—
1548C4⋊C4—834no—
1549C4⋊C4—834no—
1550C4⋊C4—832no—
1551C4⋊C4—834no—
1552C4⋊C4—834no—
1553C4⋊C4—834no—
1554C4⋊C4—834no—
1555C4⋊C4—832no—
1556C4⋊C4—838no—
1557C4⋊C4—838no—
1558C4⋊C4C23×D8312yes—
1559C4⋊C4C23×D8312yes—
1560C4⋊C4C23×D8312yes—
1561C4⋊C4C23×D8312yes—
1562C4⋊C4C23×D8312yes—
1563C4⋊C4C23×D8314yes—
1564C4⋊C4C23×D8312yes—
1565C4⋊C4C23×D8314yes—
1566C4⋊C4C23×D8312yes—
1567C4⋊C4C23×D8312yes—
1568C4⋊C4C23×D8314yes—
1569C4⋊C4C23×D8314yes—
1570C4⋊C4C23×D8318yes—
1571C4⋊C4C23×D8318yes—
1572C4⋊C4C23×D8318yes—
1573C22⋊C4—834no—
1574C22⋊C4—838no—
1575C22⋊C4—834no—
1576C22⋊C4—834no—
1577C22⋊C4—834no—
1578C22⋊C4—834no—
1579C22⋊C4—834no—
1580C22⋊C4—834no—
1581C22⋊C4—834no—
1582C22⋊C4—834no—
1583C22⋊C4—838no—
1584C22⋊C4—834no—
1585C22⋊C4—838no—
1586C22⋊C4—834no—
1587C22⋊C4—834no—
1588C22⋊C4—834no—
1589C22⋊C4—834no—
1590C22⋊C4—834no—
1591C22⋊C4—838no—
1592C22⋊C4—838no—
1593C22⋊C4—838no—
1594C22⋊C4—838no—
1595C22⋊C4—838no—
1596C22⋊C4—838no—
1597C22⋊C4C23×D8314yes—
1598C22⋊C4C23×D8318yes—
1599C22⋊C4C23×D8314yes—
1600C22⋊C4C23×D8314yes—
1601C22⋊C4C23×D8318yes—
1602C22⋊C4C23×D8318yes—
1603C42—834no—
1604C42—831no—
1605C42—831no—
1606C42—831no—
1607C42—831no—
1608C42—831no—
1609C42—834no—
1610C42—834no—
1611C42—831no—
1612C42—834no—
1613C42—834no—
1614C42—831no—
1615C42—831no—
1616C42—831no—
1617C42—831no—
1618C42—834no—
1619C42—831no—
1620C42—831no—
1621C42—838no—
1622C42—838no—
1623C42—838no—
1624C42—834no—
1625C42C23×D8314yes—
1626C42C23×D8311yescharacteristic
1627C42C23×D8311yescharacteristic
1628C42C23×D8314yes—
1629C42C23×D8311yescharacteristic
1630C42C23×D8311yescharacteristic
1631C42C23×D8318yes—
1632C42C23×D8314yes—
1633C23—3322no—
1634C23—3321no—
1635C23—3322no—
1636C23—3321no—
1637C23—3324no—
1638C23—3324no—
1639C23—834no—
1640C23—831no—
1641C23—831no—
1642C23—834no—
1643C23—834no—
1644C23—1668no—
1645C23—1664no—
1646C23C24×D8314yes—
1647C23C24×D8311yescharacteristic
1648Q8—24no—
1649Q8—24no—
1650Q8—24no—
1651Q8—24no—
1652Q8—42no—
1653Q8—3322no—
1654Q8—3324no—
1655Q8—1668no—
1656Q8—1668no—
1657Q8—1664no—
1658Q8—1664no—
1659D4—28no—
1660D4—24no—
1661D4—24no—
1662D4—42no—
1663D4—3322no—
1664D4—3328no—
1665D4—3328no—
1666D4—3324no—
1667D4—3328no—
1668D4—3328no—
1669D4—1668no—
1670D4—1668no—
1671D4—1668no—
1672D4—1668no—
1673D4—1668no—
1674D4—1668no—
1675D4—1668no—
1676D4—1664no—
1677D4—1664no—
1678D4—1664no—
1679D4—1664no—
1680C2×C4—24no—
1681C2×C4—28no—
1682C2×C4—22no—
1683C2×C4—42no—
1684C2×C4—41no—
1685C2×C4—48no—
1686C2×C4—3324no—
1687C2×C4—3321no—
1688C2×C4—3321no—
1689C2×C4—3324no—
1690C2×C4—3321no—
1691C2×C4—3321no—
1692C2×C4—3324no—
1693C2×C4—3324no—
1694C2×C4—3328no—
1695C2×C4—3328no—
1696C2×C4—3322no—
1697C2×C4—3321no—
1698C2×C4—3328no—
1699C2×C4—834no—
1700C2×C4—831no—
1701C2×C4—831no—
1702C2×C4—831no—
1703C2×C4—834no—
1704C2×C4—834no—
1705C2×C4—834no—
1706C2×C4—834no—
1707C2×C4—831no—
1708C2×C4—834no—
1709C2×C4—831no—
1710C2×C4—834no—
1711C2×C4—834no—
1712C2×C4—834no—
1713C2×C4—831no—
1714C2×C4—1662no—
1715C2×C4—1662no—
1716C2×C4—1668no—
1717C2×C4—1668no—
1718C2×C4—1668no—
1719C2×C4—1668no—
1720C2×C4—1668no—
1721C2×C4—1662no—
1722C2×C4—1668no—
1723C2×C4—1668no—
1724C2×C4—1662no—
1725C2×C4—1662no—
1726C2×C4—1668no—
1727C2×C4#41×D8314yes—
1728C2×C4C24×D8314yes—
1729C2×C4C24×D8314yes—
1730C2×C4C24×D8311yescharacteristic
1731C2×C4C24×D8311yescharacteristic
1732C2×C4C24×D8314yes—
1733C2×C4C24×D8314yes—
1734C2×C4C24×D8311yescharacteristic
1735C2×C4C24×D8314yes—
1736C2×C4C24×D8311yescharacteristic
1737C2×C4C24×D8311yescharacteristic
1738C2×C4C24×D8311yescharacteristic
1739C22—21no—
1740C22—21no—
1741C22—24no—
1742C22—24no—
1743C22—24no—
1744C22—3328no—
1745C22—3324no—
1746C22—832no—
1747C22—832no—
1748C22—6648no—
1749C22—1664no—
1750C22—1664no—
1751C22—1664no—
1752C22—1664no—
1753C22—1664no—
1754C22—1664no—
1755C22—1661no—
1756C22—1661no—
1757C22—1661no—
1758C22—1661no—
1759C22C2×#41×D8312yes—
1760C22C25×D8311yescharacteristic
1761C4—24no—
1762C4—24no—
1763C4—24no—
1764C4—24no—
1765C4—21no—
1766C4—21no—
1767C4—21no—
1768C4—24no—
1769C4—832no—
1770C4—832no—
1771C4—832no—
1772C4—1664no—
1773C4—1661no—
1774C4—1664no—
1775C4—1664no—
1776C4—1664no—
1777C4—1661no—
1778C4—1661no—
1779C4C2×#41×D8312yes—
1780C4C2×#41×D8312yes—
1781C4#1912853812yes—
1782C2—22no—
1783C2—44no—
1784C2—3324no—
1785C2—3324no—
1786C2—1662no—
1787C2—1662no—
1788C2C22×#41×D8311yescharacteristic
1789C2#585×D8311yescharacteristic
1790C2C2×#1912853811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D83
commutator, socle, cosocleC22×C83C26
FittingC83×#3507C2
hypercenter#3507D83
hypocenterC83#62815
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C22 ◁ #3507

Complements

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

NH ≅ G/Ntype
1. #24921377C2semidirect
2. #24921371C2semidirect
3. #24921367C2semidirect
4. #24921353C2semidirect
5. #24921346C2semidirect
6. #24921336C2semidirect
7. #24921328C2semidirect
8. #24921327C2semidirect
9. #24921317C2semidirect
10. #24921312C2semidirect
11. #24921308C2semidirect
12. #24921298C2semidirect
13. #24921295C2semidirect
14. #24921063C2semidirect
15. #24921059C2semidirect
16. #24921055C2semidirect
17. #24921029C2semidirect
18. #24921024C2semidirect
19. #24921016C2semidirect
20. #24920849C2semidirect
21. #24920795C2semidirect
22. #24920757C2semidirect
23. #533×D83C2semidirect
24. #532×D83C2semidirect
25. #24920663C2semidirect
26. C2×C4×#13050591C2semidirect
27. C83×#3507C2semidirect
30. #19128436C22semidirect
31. #19128436C22semidirect
32. #19128436C22semidirect
33. #19128434C22semidirect
34. #19128433C22semidirect
35. #19128433C22semidirect
36. #19128429C22semidirect
37. #19128426C22semidirect
38. #19128425C22semidirect
39. #19128425C22semidirect
40. #19128424C22semidirect
41. #19128424C22semidirect
42. #19128423C22semidirect
43. #19128423C22semidirect
44. #19128422C22semidirect
45. #19128420C22semidirect
46. #19128417C22semidirect
47. #19128416C22semidirect
48. #19128414C22semidirect
49. #19128411C22semidirect
50. #19128409C22semidirect
51. #19128404C22semidirect
52. #19128404C22semidirect
53. #19128404C22semidirect
54. #19128402C22semidirect
55. #19128402C22semidirect
56. #19128401C22semidirect
57. #19128399C22semidirect
58. #19128397C22semidirect
59. #19128396C22semidirect
60. #19128395C22semidirect
61. #19128395C22semidirect
62. #19128393C22semidirect
63. #19128392C22semidirect
64. #19128392C22semidirect
65. #19128389C22semidirect
66. #19128385C22semidirect
67. #19128383C22semidirect
68. #19128378C22semidirect
69. #19128376C22semidirect
70. #19128376C22semidirect
71. #19128375C22semidirect
72. #19128373C22semidirect
73. #19128372C22semidirect
74. #19128371C22semidirect
75. #19128363C22semidirect
76. #19128361C22semidirect
77. #19128359C22semidirect
78. #19128355C22semidirect
79. #19128354C22semidirect
80. #19128352C22semidirect
81. #19128346C22semidirect
82. #19128344C22semidirect
83. #19128343C22semidirect
84. #19128321C22semidirect
85. #19128317C22semidirect
86. #19128310C22semidirect
87. #19128303C22semidirect
88. #19128298C22semidirect
89. #19128295C22semidirect
90. #19128291C22semidirect
91. #19128288C22semidirect
92. #19128284C22semidirect
93. #19128281C22semidirect
94. #19128281C22semidirect
96. #19128275C22semidirect
97. #19128270C22semidirect
99. #19128265C22semidirect
101. #19128258C22semidirect
102. #19128257C22semidirect
103. #19128257C22semidirect
104. #19128256C22semidirect
105. #19128256C22semidirect
106. #19128255C22semidirect
107. #19128255C22semidirect
108. #19128255C22semidirect
109. #19128254C22semidirect
110. #19128253C22semidirect
111. #19128253C22semidirect
112. #19128252C22semidirect
113. #19128252C22semidirect
115. #19128250C22semidirect
116. #19128250C22semidirect
117. #19128250C22semidirect
118. #19128249C22semidirect
119. #19128248C22semidirect
120. #19128248C22semidirect
121. #19128248C22semidirect
125. C4⋊Q8×D83C22semidirect
126. C4⋊Q8×D83C22semidirect
127. C4⋊Q8×D83C22semidirect
128. #127×D83C22semidirect
129. #19128237C22semidirect
130. #19128236C22semidirect
131. #19128236C22semidirect
132. #19128235C22semidirect
133. #19128234C22semidirect
134. #19128234C22semidirect
135. #19128234C22semidirect
136. #19128230C22semidirect
137. #19128229C22semidirect
138. #19128228C22semidirect
139. #19128228C22semidirect
140. #125×D83C22semidirect
141. #124×D83C22semidirect
144. #19128214C22semidirect
145. #19128211C22semidirect
146. #19128210C22semidirect
147. #19128209C22semidirect
152. #19128184C22semidirect
153. #19128182C22semidirect
154. #19128182C22semidirect
155. #19128181C22semidirect
156. #19128181C22semidirect
157. #19128177C22semidirect
159. #19128173C22semidirect
164. C4×#13050591C22semidirect
165. C4×#13050591C22semidirect
166. C4×#13050591C22semidirect
167. C4×#13050591C22semidirect
168. C4×#13050591C22semidirect
169. C4×#13050591C22semidirect
170. #19128169C22semidirect
171. C4×#13050589C22semidirect
172. C4×#13050589C22semidirect
173. C4×#13050589C22semidirect
174. C2×Q8×Dic83C22semidirect
175. C4×Q8×D83C22semidirect
176. C4×Q8×D83C22semidirect
178. C2×C4×D332C22semidirect
180. C2×#14581754C22semidirect
181. C4×D4×D83C22semidirect
182. C4×D4×D83C22semidirect
184. C2×#14581750C22semidirect
185. C2×#14581750C22semidirect
187. #117×D83C22semidirect
189. C2×C42×D83C22semidirect
190. #559×C83C22semidirect
191. #557×C83C22semidirect
192. #556×C83C22semidirect
193. #556×C83C22semidirect
194. #554×C83C22semidirect
195. #552×C83C22semidirect
196. #539×C83C22semidirect
197. #536×C83C22semidirect
198. #533×C83C22semidirect
200. #529×C83C22semidirect
201. #520×C83C22semidirect
202. C2×C4×Q8×C83C22semidirect
591. C2×C4×D83#41semidirect
904. #3507D83semidirect
923. C83#62815semidirect
932. #559C2×D83semidirect
935. #557C2×D83semidirect
944. #556C2×D83semidirect
945. #556C2×D83semidirect
951. #554C2×D83semidirect
969. #552C2×D83semidirect
992. #539C2×D83semidirect
1000. #536C2×D83semidirect
1016. #533C2×D83semidirect
1046. #529C2×D83semidirect
1064. #520C2×D83semidirect
1085. C2×C4×Q8C2×D83semidirect

Maximal subgroups

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

subgroupindex
#249213772
#249213712
#249213672
#249213532
#249213462
#249213362
#249213282
#249213272
#249213172
#249213122
#249213082
#249212982
#249212952
#249210632
#249210592
#249210552
#249210292
#249210242
#249210162
#249208492
#249207952
#249207572
#533×D832
#532×D832
#249206632
C2×C4×#130505912
C83×#35072
#6281583