Finite Group Databasebeta

← #16770665

Subgroups — #16770665

Order 3328.

6528 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129473C214yesmaximal, complemented
2#13129454C214yesmaximal, complemented
3#13129446C212yesmaximal, complemented
4#13129439C212yesmaximal, complemented
5#13129406C212yesmaximal, complemented
6#13129374C212yesmaximal, complemented
7#13129324C212yesmaximal, complemented
8#13129281C212yesmaximal, complemented
9#13129225C212yesmaximal, complemented
10#13129176C212yesmaximal, complemented
11#13129085C212yesmaximal, complemented
12#13129063C212yesmaximal, complemented
13#13129039C214yesmaximal, complemented
14#13128981C214yesmaximal, complemented
15#13128451C214yesmaximal, complemented
16#41×Dic26C212yesmaximal, complemented
17#13128400C212yesmaximal, complemented
18#13128396C214yesmaximal, complemented
19#13128265C214yesmaximal, complemented
20#13128263C214yesmaximal, complemented
21#13128239C212yesmaximal, complemented
22#13128225C212yesmaximal, complemented
23C2×#11719175C211yesmaximal, characteristic, complemented
24C2×#11719184C211yesmaximal, characteristic, complemented
25C13×#3444C211yesmaximal, characteristic, complemented
26C13×#533C2211yescharacteristic
27C13×#533C2211yescharacteristic, complemented
28C13×#533C2211yescharacteristic, complemented
29C13×#532C2211yescharacteristic
30C13×#532C2211yescharacteristic, complemented
31C13×#532C2211yescharacteristic, complemented
32C13×#529C2212yes—
33C13×#529C2212yes—
34C13×#529C2212yescomplemented
35C13×#529C2212yescomplemented
36C13×#529C2212yescomplemented
37C13×#529C2212yescomplemented
38C13×#525C2212yes—
39C13×#525C2212yes—
40C13×#525C2212yes—
41C4×C13×#41C2212yes—
42C4×C13×#41C2212yescomplemented
43C4×C13×#41C2212yescomplemented
44C22×C42×C13C2211yescharacteristic
45#11719538C2214yes—
46#11719533C2214yes—
47#41×Dic13C2214yes—
48#11719530C2214yescomplemented
49#11719529C2218yescomplemented
50C2×#88184C2211yescharacteristic
51C2×#88183C2212yes—
52C2×C4×C22⋊D13C2212yes—
53C2×#88180C2212yes—
54C2×#88178C2212yes—
55C2×#88178C2212yes—
56C2×#88178C2211yescharacteristic
57#11719436C2214yescomplemented
58#11719434C2214yescomplemented
59#11719434C2214yescomplemented
60#11719424C2214yescomplemented
61#11719417C2218yescomplemented
62#11719417C2218yescomplemented
63#11719415C2218yescomplemented
64#11719406C2218yescomplemented
65#11719404C2214yescomplemented
66#11719401C2218yescomplemented
67#11719394C2214yescomplemented
68#11719394C2214yescomplemented
69C13⋊#564C2214yescomplemented
70#11719389C2214yescomplemented
71#11719387C2214yescomplemented
72#11719387C2214yescomplemented
73#11719377C2214yescomplemented
74#11719374C2218yescomplemented
75#11719372C2218yes—
76#11719370C2218yescomplemented
77#11719363C2218yes—
78#11719356C2218yescomplemented
79#11719355C2218yes—
80#11719353C2218yescomplemented
81#11719351C2218yescomplemented
82#11719350C2214yes—
83#11719347C2214yescomplemented
84#11719346C2214yescomplemented
85#11719344C2214yescomplemented
86#11719340C2214yescomplemented
87#11719339C2214yes—
88#11719339C2214yes—
89#11719328C2214yes—
90#11719328C2214yes—
91#11719328C2214yescomplemented
92#11719326C2218yescomplemented
93#11719323C2214yescomplemented
94#11719322C2214yes—
95#11719322C2214yes—
96#11719321C2214yescomplemented
97#11719319C2214yescomplemented
98#11719316C2214yescomplemented
99#11719307C2214yes—
100#11719307C2214yes—
101#11719307C2214yescomplemented
102#11719302C2214yes—
103#11719296C2218yes—
104#11719292C2218yes—
105#11719289C2214yescomplemented
106#11719289C2212yescomplemented
107#11719288C2218yescomplemented
108#11719286C2214yescomplemented
109#11719284C2212yescomplemented
110#11719283C2218yescomplemented
111#11719283C2218yescomplemented
112#11719275C2212yescomplemented
113#11719274C2214yescomplemented
114#11719272C2214yescomplemented
115Q8×Dic26C2212yescomplemented
116#11719269C2218yescomplemented
117#11719269C2218yescomplemented
118#11719268C2212yescomplemented
119#11719266C2218yescomplemented
120#11719263C2214yescomplemented
121#11719262C2218yescomplemented
122#11719261C2218yes—
123#11719260C2214yes—
124#11719257C2214yes—
125#11719257C2214yescomplemented
126#11719256C2212yescomplemented
127#11719255C2214yes—
128#11719248C2214yes—
129#11719248C2212yescomplemented
130#11719246C2214yes—
131#11719246C2214yescomplemented
132#11719246C2214yescomplemented
133#11719244C2218yes—
134#11719244C2214yescomplemented
135#11719243C2218yescomplemented
136#11719243C2218yescomplemented
137#11719243C2218yescomplemented
138#11719243C2218yescomplemented
139D4×Dic26C2214yes—
140D4×Dic26C2214yescomplemented
141D4×Dic26C2212yescomplemented
142C4×#6129C2218yescomplemented
143#11719239C2214yes—
144#11719239C2214yescomplemented
145#11719238C2218yescomplemented
146#11719236C2218yescomplemented
147#11719236C2218yescomplemented
148#11719233C2218yescomplemented
149#11719231C2214yescomplemented
150D13×#117C2214yes—
151#11719224C2214yescomplemented
152#11719223C2214yescomplemented
153#11719223C2214yescomplemented
154#11719222C2214yes—
155#11719222C2218yescomplemented
156#11719184C2212yes—
157#11719184C2212yes—
158#11719184C2212yes—
159#11719184C2212yes—
160#11719184C2212yes—
161#11719184C2212yes—
162#11719184C2212yes—
163#11719184C2212yes—
164#11719184C2214yescomplemented
165C2×#88130C2212yes—
166C2×#88129C2211yescharacteristic
167C4×#6127C2214yescomplemented
168C2×C4×D52C2211yescharacteristic
169C2×#88126C2212yes—
170#11719175C2212yes—
171#11719175C2212yes—
172#11719175C2212yes—
173#11719175C2212yes—
174#11719175C2212yescomplemented
175#11719175C2214yescomplemented
176#11719175C2212yescomplemented
177#11719175C2212yescomplemented
178#11719175C2212yescomplemented
179C2×#88124C2211yescharacteristic
180C2×#88124C2212yescomplemented
181C2×#88123C2211yescharacteristic, complemented
182C2×#88123C2211yescharacteristic, complemented
183C2×C4×Dic26C2211yescharacteristic
184C2×C4×Dic26C2212yescomplemented
185C2×C4×Dic26C2214yescomplemented
186C2×C4×Dic26C2212yescomplemented
187C2×C13×#41C2312yes—
188C2×C13×#41C2312yes—
189C2×C13×#41C2312yes—
190C23×C4×C13C2311yescharacteristic
191C23×C4×C13C2311yescharacteristic
192C23×C4×C13C2311yescharacteristic
193C22×C22⋊D13C2312yes—
194C2×#6129C2318yes—
195C2×#6127C2314yes—
196C22×D52C2311yescharacteristic
197C22×C4×D13C2312yes—
198C22×Dic26C2311yescharacteristic
199C22×Dic26C2312yes—
200C22×Dic26C2312yes—
201C22×Dic26C2314yes—
202C13×C4⋊Q8C2311yescharacteristic
203C13×C4⋊Q8C2311yescharacteristic
204C13×C4⋊Q8C2311yescharacteristic
205C13×#127C2311yescharacteristic
206C13×#126C2314yes—
207C13×#126C2314yes—
208C13×#125C2312yes—
209C13×#125C2312yes—
210C13×#125C2312yes—
211C13×#124C2312yes—
212C13×#124C2312yes—
213C13×#124C2312yes—
214C13×#123C2314yes—
215C13×#123C2314yes—
216C13×#123C2314yes—
217C13×C22⋊Q8C2312yes—
218C13×C22⋊Q8C2312yes—
219C13×C22⋊Q8C2312yes—
220C13×C22⋊Q8C2312yes—
221C13×C22⋊Q8C2312yes—
222C13×C22⋊Q8C2312yes—
223C13×#121C2312yes—
224C13×#121C2312yes—
225C13×#121C2312yes—
226C13×#121C2312yes—
227C13×#121C2312yes—
228C13×#121C2312yes—
229C13×#120C2314yes—
230C4×Q8×C13C2312yes—
231C4×Q8×C13C2312yes—
232C4×Q8×C13C2312yes—
233C4×Q8×C13C2312yes—
234C4×Q8×C13C2312yes—
235C4×Q8×C13C2312yes—
236C4×D4×C13C2314yes—
237C4×D4×C13C2314yes—
238C4×D4×C13C2314yes—
239C4×D4×C13C2312yes—
240C4×D4×C13C2312yes—
241C4×D4×C13C2312yes—
242C4×D4×C13C2314yes—
243C4×D4×C13C2314yes—
244C4×D4×C13C2312yes—
245C4×D4×C13C2312yes—
246C4×D4×C13C2314yes—
247C4×D4×C13C2312yes—
248C13×#117C2312yes—
249C13×#117C2314yes—
250C13×#117C2312yes—
251C13×#117C2314yes—
252C13×#117C2312yes—
253C13×#117C2314yes—
254C2×C42×C13C2311yescharacteristic
255C2×C42×C13C2311yescharacteristic
256C2×C42×C13C2311yescharacteristic
257C2×C42×C13C2314yes—
258C2×C42×C13C2311yescharacteristic
259C2×C42×C13C2311yescharacteristic
260C2×C42×C13C2311yescharacteristic
261C2×C42×C13C2311yescharacteristic
262C2×C42×C13C2311yescharacteristic
263C2×C42×C13C2311yescharacteristic
264C2×C42×C13C2311yescharacteristic
265C2×C42×C13C2311yescharacteristic
266C2×C42×C13C2311yescharacteristic
267C2×C22⋊Dic13C2314yes—
268C2×C22⋊Dic13C2312yes—
269#88200C2318yes—
270#88200C2318yes—
271#88200C2314yes—
272#88200C2314yes—
273Q8×Dic13C2314yes—
274Q8×Dic13C2314yes—
275#88198C2318yes—
276#88198C2318yes—
277#88193C2318yes—
278#88193C2318yes—
279#88193C2318yes—
280#88193C2318yes—
281#88192C2314yes—
282#88192C2314yes—
283#88192C2318yes—
284#88191C2318yes—
285#88190C2318yes—
286#88189C2318yes—
287#88189C2318yes—
288#88189C2318yes—
289#88189C2318yes—
290#88189C2318yes—
291D4×Dic13C2314yes—
292D4×Dic13C2314yes—
293D4×Dic13C2318yes—
294D4×Dic13C2318yes—
295D4×Dic13C2318yes—
296#88184C2312yes—
297#88184C2312yes—
298#88184C2312yes—
299#88184C2312yes—
300#88184C2314yes—
301#88183C2314yes—
302#88183C2314yes—
303#88183C2314yes—
304#88183C2314yes—
305#88183C2318yes—
306C4×C22⋊D13C2318yes—
307C4×C22⋊D13C2318yes—
308C4×C22⋊D13C2314yes—
309C4×C22⋊D13C2314yes—
310C4×C22⋊D13C2314yes—
311C4×C22⋊D13C2314yes—
312C4×C22⋊D13C2318yes—
313C2×#6103C2312yes—
314C2×#6103C2312yes—
315C2×#6103C2312yes—
316C2×#6103C2312yes—
317#88180C2314yes—
318#88180C2314yes—
319#88180C2314yes—
320#88180C2314yes—
321#88180C2318yes—
322#88180C2314yes—
323C2×C4⋊Dic13C2311yescharacteristic
324C2×C4⋊Dic13C2312yes—
325C2×C4⋊Dic13C2312yes—
326C2×C4⋊Dic13C2314yes—
327C2×C4⋊Dic13C2312yes—
328C2×C4⋊Dic13C2312yes—
329C2×C4⋊Dic13C2311yescharacteristic
330#88178C2314yes—
331#88178C2314yes—
332#88178C2314yes—
333#88178C2314yes—
334#88178C2314yes—
335#88178C2314yes—
336#88178C2314yes—
337#88178C2314yes—
338#88178C2314yes—
339#88178C2318yes—
340#88178C2314yes—
341#88178C2312yes—
342#88178C2312yes—
343#88178C2312yes—
344#88178C2312yes—
345#88178C2314yes—
346C2×#6101C2312yes—
347C2×#6101C2314yes—
348C2×#6101C2314yes—
349C2×#6101C2318yes—
350C2×#6101C2312yes—
351C2×#6101C2312yes—
352C2×#6101C2312yes—
353C2×C4×Dic13C2312yes—
354C2×C4×Dic13C2314yes—
355C2×C4×Dic13C2318yes—
356#88152C2318yes—
357#88152C2318yes—
358#88152C2318yes—
359#88152C2318yes—
360#88152C2318yes—
361#88151C2318yes—
362#88151C2318yes—
363#88151C2318yes—
364#88150C2318yes—
365#88150C2318yes—
366#88150C2318yes—
367#88150C2318yes—
368#88150C2318yes—
369#88148C2318yes—
370#88146C2314yes—
371#88146C2314yes—
372#88146C2318yes—
373C4⋊C4×D13C2314yes—
374C4⋊C4×D13C2314yes—
375#88144C2314yes—
376#88144C2314yes—
377#88144C2318yes—
378#88144C2318yes—
379#88144C2318yes—
380#88143C2318yes—
381#88143C2318yes—
382#88143C2318yes—
383#88143C2318yes—
384#88143C2318yes—
385#88143C2318yes—
386#88143C2318yes—
387#88143C2318yes—
388#88143C2318yes—
389#88142C2314yes—
390#88142C2314yes—
391#88142C2318yes—
392#88142C2318yes—
393#88142C2318yes—
394#88142C2318yes—
395#88141C2318yes—
396#88140C2318yes—
397#88140C2318yes—
398#88140C2318yes—
399#88140C2318yes—
400#88139C2318yes—
401#88139C2318yes—
402#88139C2318yes—
403#88139C2318yes—
404#88139C2318yes—
405#88138C2318yes—
406#88137C2318yes—
407#88137C2318yes—
408#88137C2318yes—
409#88135C2318yes—
410#88135C2318yes—
411C22⋊C4×D13C2318yes—
412#88133C2318yes—
413#88133C2318yes—
414#88133C2318yes—
415#88133C2318yes—
416#88133C2318yes—
417#88133C2318yes—
418#88133C2318yes—
419#88132C2318yes—
420#88132C2318yes—
421#88132C2318yes—
422#88132C2318yes—
423#88132C2318yes—
424#88132C2318yes—
425#88132C2318yes—
426#88132C2318yes—
427#88132C2318yes—
428#88132C2318yes—
429#88131C2318yes—
430#88131C2318yes—
431#88131C2318yes—
432#88130C2314yes—
433#88130C2314yes—
434#88130C2314yes—
435#88130C2314yes—
436#88130C2318yes—
437#88129C2312yes—
438#88129C2312yes—
439#88129C2312yes—
440#88129C2312yes—
441#88129C2314yes—
442C4×D52C2312yes—
443C4×D52C2312yes—
444C4×D52C2312yes—
445C4×D52C2312yes—
446C4×D52C2314yes—
447#88126C2314yes—
448#88126C2314yes—
449#88126C2314yes—
450#88126C2314yes—
451#88126C2318yes—
452#88126C2318yes—
453C42×D13C2318yes—
454#88124C2314yes—
455#88124C2312yes—
456#88124C2312yes—
457#88124C2312yes—
458#88124C2312yes—
459#88124C2314yes—
460#88124C2314yes—
461#88124C2314yes—
462#88124C2318yes—
463#88124C2314yes—
464#88123C2312yes—
465#88123C2312yes—
466#88123C2312yes—
467#88123C2312yes—
468#88123C2312yes—
469#88123C2312yes—
470#88123C2312yes—
471#88123C2312yes—
472#88123C2314yes—
473#88123C2314yes—
474C4×Dic26C2312yes—
475C4×Dic26C2312yes—
476C4×Dic26C2312yes—
477C4×Dic26C2312yes—
478C4×Dic26C2314yes—
479C4×Dic26C2314yes—
480C4×Dic26C2314yes—
481C4×Dic26C2314yes—
482C4×Dic26C2314yes—
483C4×Dic26C2314yes—
484C4×Dic26C2314yes—
485C4×Dic26C2314yes—
486C4×Dic26C2318yes—
487C4×Dic26C2314yes—
488C4×Dic26C2314yes—
489C4×Dic26C2318yes—
490C4×Dic26C2318yes—
491C4×Dic26C2314yes—
492#62752—131nomaximal, Sylow
493C24×C13C2411yescharacteristic
494C23×D13C2412yes—
495C13×#41—28no—
496C13×#41—44no—
497C13×#41—44no—
498C2×Q8×C13C2412yes—
499C2×Q8×C13C2412yes—
500C2×Q8×C13C2412yes—
501C2×D4×C13C2414yes—
502C2×D4×C13C2412yes—
503C2×D4×C13C2414yes—
504C2×D4×C13C2412yes—
505C2×D4×C13C2412yes—
506C2×D4×C13C2414yes—
507C22×C4×C13—24no—
508C22×C4×C13—42no—
509C22×C4×C13—42no—
510C22×C4×C13C2411yescharacteristic
511C22×C4×C13C2414yes—
512C22×C4×C13C2411yescharacteristic
513C22×C4×C13C2411yescharacteristic
514C22×C4×C13C2411yescharacteristic
515C22×C4×C13C2411yescharacteristic
516C22×C4×C13C2414yes—
517C22×C4×C13C2411yescharacteristic
518C22×C4×C13C2411yescharacteristic
519C22×C4×C13C2411yescharacteristic
520C22×C4×C13C2411yescharacteristic
521C22×C4×C13C2411yescharacteristic
522C22×C4×C13C2411yescharacteristic
523C22×C4×C13C2411yescharacteristic
524C22×C4×C13C2411yescharacteristic
525C22×C4×C13C2411yescharacteristic
526C22×C4×C13C2414yes—
527C22×C4×C13C2411yescharacteristic
528C22×C4×C13C2411yescharacteristic
529C22×C4×C13C2411yescharacteristic
530C22×C4×C13C2411yescharacteristic
531C2×C22⋊D13—44no—
532C2×C22⋊D13C2414yes—
533C2×C22⋊D13C2418yes—
534C2×C22⋊D13C2414yes—
535C2×C22⋊D13C2418yes—
536C22×Dic13C2412yes—
537C22×Dic13C2414yes—
538C22×Dic13C2418yes—
539C22×Dic13C2412yes—
540C22×Dic13C2412yes—
541C22×Dic13C2418yes—
542C22×Dic13C2414yes—
543#6129—416no—
544#6127—48no—
545C2×D52—42no—
546C2×D52C2412yes—
547C2×D52C2412yes—
548C2×C4×D13—28no—
549C2×C4×D13C2414yes—
550C2×C4×D13C2414yes—
551C2×C4×D13C2418yes—
552C2×C4×D13C2418yes—
553C2×Dic26—42no—
554C2×Dic26—48no—
555C2×Dic26—44no—
556C2×Dic26—44no—
557C2×Dic26C2414yes—
558C2×Dic26C2412yes—
559C2×Dic26C2414yes—
560C2×Dic26C2414yes—
561C2×Dic26C2414yes—
562C2×Dic26C2412yes—
563C2×Dic26C2418yes—
564C2×Dic26C2418yes—
565C13×C4⋊C4C2414yes—
566C13×C4⋊C4C2414yes—
567C13×C4⋊C4C2414yes—
568C13×C4⋊C4C2414yes—
569C13×C4⋊C4C2412yes—
570C13×C4⋊C4C2412yes—
571C13×C4⋊C4C2414yes—
572C13×C4⋊C4C2412yes—
573C13×C4⋊C4C2412yes—
574C13×C4⋊C4C2412yes—
575C13×C4⋊C4C2412yes—
576C13×C4⋊C4C2414yes—
577C13×C22⋊C4C2414yes—
578C13×C22⋊C4C2414yes—
579C13×C22⋊C4C2414yes—
580C13×C22⋊C4C2414yes—
581C13×C22⋊C4C2414yes—
582C13×C22⋊C4C2414yes—
583C13×C22⋊C4C2414yes—
584C13×C22⋊C4C2414yes—
585C13×C22⋊C4C2414yes—
586C42×C13C2411yescharacteristic
587C42×C13C2411yescharacteristic
588C42×C13C2411yescharacteristic
589C42×C13C2411yescharacteristic
590C42×C13C2414yes—
591C42×C13C2411yescharacteristic
592C42×C13C2411yescharacteristic
593C42×C13C2411yescharacteristic
594C42×C13C2411yescharacteristic
595C42×C13C2414yes—
596C42×C13C2411yescharacteristic
597C42×C13C2411yescharacteristic
598C42×C13C2414yes—
599C42×C13C2411yescharacteristic
600C42×C13C2411yescharacteristic
601C42×C13C2411yescharacteristic
602C42×C13C2411yescharacteristic
603C42×C13C2411yescharacteristic
604C42×C13C2411yescharacteristic
605C22⋊Dic13C2414yes—
606C22⋊Dic13C2418yes—
607C22⋊Dic13C2418yes—
608C22⋊Dic13C2418yes—
609C22⋊Dic13C2418yes—
610C22⋊Dic13C2418yes—
611C22⋊Dic13C2414yes—
612C22⋊Dic13C2418yes—
613#6103C2414yes—
614#6103C2414yes—
615#6103C2414yes—
616#6103C2414yes—
617#6103C2414yes—
618#6103C2418yes—
619#6103C2418yes—
620#6103C2418yes—
621#6103C2414yes—
622#6103C2414yes—
623#6103C2414yes—
624#6103C2418yes—
625C4⋊Dic13C2412yes—
626C4⋊Dic13C2414yes—
627C4⋊Dic13C2414yes—
628C4⋊Dic13C2414yes—
629C4⋊Dic13C2414yes—
630C4⋊Dic13C2412yes—
631C4⋊Dic13C2412yes—
632C4⋊Dic13C2418yes—
633C4⋊Dic13C2418yes—
634C4⋊Dic13C2414yes—
635C4⋊Dic13C2414yes—
636C4⋊Dic13C2414yes—
637C4⋊Dic13C2414yes—
638C4⋊Dic13C2418yes—
639C4⋊Dic13C2418yes—
640C4⋊Dic13C2412yes—
641#6101C2414yes—
642#6101C2418yes—
643#6101C2418yes—
644#6101C2418yes—
645#6101C2418yes—
646#6101C2414yes—
647#6101C2418yes—
648#6101C2418yes—
649#6101C2418yes—
650#6101C2418yes—
651#6101C2418yes—
652#6101C2414yes—
653#6101C2414yes—
654#6101C2414yes—
655#6101C2414yes—
656#6101C2418yes—
657#6101C2418yes—
658#6101C2414yes—
659#6101C2414yes—
660#6101C2418yes—
661C4×Dic13C2418yes—
662C4×Dic13C2414yes—
663C4×Dic13C2418yes—
664C4×Dic13C2414yes—
665C4×Dic13C2418yes—
666C4×Dic13C2418yes—
667C4×Dic13C2418yes—
668C4×Dic13C2418yes—
669#3565—134no—
670#3564—134no—
671#3563—132no—
672#3563—132no—
673#3561—132no—
674#3559—132no—
675#3555—132no—
676#3552—132no—
677#3547—132no—
678#3544—132no—
679#3538—132no—
680#3536—132no—
681#3535—134no—
682#3531—134no—
683#3482—134no—
684Q8×#41—132no—
685#3475—134no—
686#3475—132no—
687#3461—134no—
688#3461—134no—
689#3458—132no—
690#3455—132no—
691#3444D1311yescharacteristic, complemented
692C2×#533—131no—
693C2×#529—131no—
694C23×C13—22no—
695C23×C13—22no—
696C23×C13—41no—
697C23×C13C2511yescharacteristic
698C23×C13C2514yes—
699C23×C13C2511yescharacteristic
700C23×C13C2511yescharacteristic
701C22×D13—24no—
702C22×D13—42no—
703C22×D13—42no—
704C22×D13C2514yes—
705Q8×C13—24no—
706Q8×C13—42no—
707Q8×C13—42no—
708D4×C13—28no—
709D4×C13—28no—
710D4×C13—24no—
711D4×C13—44no—
712D4×C13—42no—
713D4×C13—42no—
714C2×C4×C13—22no—
715C2×C4×C13—22no—
716C2×C4×C13—22no—
717C2×C4×C13—22no—
718C2×C4×C13—22no—
719C2×C4×C13—22no—
720C2×C4×C13—22no—
721C2×C4×C13—28no—
722C2×C4×C13—22no—
723C2×C4×C13—22no—
724C2×C4×C13—28no—
725C2×C4×C13—22no—
726C2×C4×C13—41no—
727C2×C4×C13—41no—
728C2×C4×C13—41no—
729C2×C4×C13—41no—
730C2×C4×C13—41no—
731C2×C4×C13—41no—
732C2×C4×C13—41no—
733C2×C4×C13—44no—
734C2×C4×C132−1+414yes—
735C2×C4×C13C2511yescharacteristic
736C2×C4×C13C2514yes—
737C2×C4×C13C2514yes—
738C2×C4×C13C2514yes—
739C2×C4×C13C2511yescharacteristic
740C2×C4×C13C2511yescharacteristic
741C2×C4×C13C2511yescharacteristic
742C2×C4×C13C2511yescharacteristic
743C2×C4×C13C2511yescharacteristic
744C2×C4×C13C2511yescharacteristic
745C2×C4×C13C2511yescharacteristic
746C2×C4×C13C2511yescharacteristic
747C2×C4×C13C2511yescharacteristic
748C2×C4×C13C2511yescharacteristic
749C2×C4×C13C2511yescharacteristic
750C22⋊D13—28no—
751C22⋊D13—48no—
752C22⋊D13—48no—
753C22⋊D13—44no—
754C2×Dic13—24no—
755C2×Dic13—28no—
756C2×Dic13—42no—
757C2×Dic13—48no—
758C2×Dic13—44no—
759C2×Dic13—48no—
760C2×Dic13—42no—
761C2×Dic13C2514yes—
762C2×Dic13C2514yes—
763C2×Dic13C2518yes—
764C2×Dic13C2518yes—
765C2×Dic13C2514yes—
766D52—24no—
767D52—42no—
768C4×D13—28no—
769C4×D13—28no—
770C4×D13—48no—
771C4×D13—48no—
772Dic26—24no—
773Dic26—28no—
774Dic26—42no—
775Dic26—48no—
776Dic26—44no—
777Dic26—44no—
778Dic26—44no—
779Dic26—48no—
780#564—134no—
781#563—138no—
782#563—138no—
783#563—134no—
784#563—134no—
785#563—138no—
786#563—138no—
787#562—134no—
788#562—138no—
789#562—138no—
790Q82—132no—
791#557—134no—
792#557—134no—
793#557—132no—
794#556—134no—
795#556—132no—
796#556—134no—
797#556—138no—
798#555—134no—
799#555—132no—
800#554—134no—
801#554—132no—
802#554—138no—
803#554—134no—
804#554—134no—
805#554—132no—
806#553—134no—
807#553—134no—
808#553—134no—
809#552—138no—
810#552—134no—
811#552—134no—
812#552—134no—
813#552—134no—
814#552—134no—
815#552—134no—
816#552—138no—
817#552—138no—
818#551—138no—
819#551—138no—
820#551—138no—
821D4×Q8—134no—
822D4×Q8—132no—
823D4×Q8—134no—
824#548—134no—
825#548—134no—
826#547—138no—
827#547—134no—
828#547—132no—
829#547—134no—
830#546—138no—
831#546—134no—
832#544—134no—
833#544—134no—
834#544—134no—
835#544—134no—
836#544—134no—
837#544—134no—
838#544—134no—
839#544—134no—
840#543—134no—
841#543—134no—
842#542—138no—
843#542—134no—
844#542—134no—
845#542—138no—
846#542—138no—
847#542—134no—
848#542—134no—
849#541—134no—
850#541—138no—
851#541—138no—
852#541—138no—
853#541—134no—
854#541—134no—
855#540—134no—
856#539—138no—
857#539—134no—
858#539—134no—
859#539—134no—
860#539—134no—
861#539—138no—
862#539—138no—
863#538—134no—
864#538—134no—
865#537—134no—
866#537—134no—
867#536—134no—
868#536—138no—
869#536—134no—
870#533—138no—
871#533—138no—
872#533—134no—
873#533—138no—
874#533—132no—
875#533—132no—
876#533—132no—
877#533—132no—
878#533—132no—
879#533—132no—
880#533—132no—
881#533—132no—
882#533—134no—
883#533C2×D1311yescharacteristic
884#533C2×D1311yescharacteristic, complemented
885#533C2×D1311yescharacteristic, complemented
886#532C2×D1311yescharacteristic
887#532C2×D1311yescharacteristic, complemented
888#532C2×D1311yescharacteristic, complemented
889C2×C4⋊Q8—131no—
890C2×C4⋊Q8—131no—
891#529—138no—
892#529—138no—
893#529—138no—
894#529—138no—
895#529—138no—
896#529—138no—
897#529—132no—
898#529—132no—
899#529—132no—
900#529—132no—
901#529—132no—
902#529—132no—
903#529—132no—
904#529—132no—
905#529—134no—
906#529C2×D1312yes—
907#529C2×D1312yes—
908#529C2×D1312yescomplemented
909#529C2×D1312yescomplemented
910#529C2×D1312yescomplemented
911#529C2×D1312yescomplemented
912C2×#126—132no—
913C2×#125—131no—
914C2×#125—132no—
915C2×#124—131no—
916#525—134no—
917#525C2×D1312yes—
918#525C2×D1312yes—
919#525C2×D1312yes—
920C2×#123—132no—
921C2×C22⋊Q8—131no—
922C2×C22⋊Q8—132no—
923C2×C22⋊Q8—132no—
924C2×#121—131no—
925C4×#41—134no—
926C4×#41—138no—
927C4×#41—134no—
928C4×#41C2×D1312yes—
929C4×#41C2×D1312yescomplemented
930C4×#41C2×D1312yescomplemented
931C2×C4×Q8—131no—
932C2×C4×Q8—132no—
933C2×C4×Q8—132no—
934C2×C4×Q8—134no—
935C2×C4×D4—132no—
936C2×C4×D4—131no—
937C2×#117—132no—
938C2×#117—134no—
939C2×#117—132no—
940C22×C42C2×D1311yescharacteristic
941C22×C13—21no—
942C22×C13—21no—
943C22×C13—21no—
944C22×C13—21no—
945C22×C13—21no—
946C22×C13—24no—
947C22×C13—24no—
948C22×C13—24no—
949C22×C13—21no—
950C22×C13—21no—
951C22×C13—44no—
952C22×C13C2×2−1+412yes—
953C22×C13#58512yes—
954C22×C13C2611yescharacteristic
955C2×D13—24no—
956C2×D13—24no—
957C2×D13—24no—
958C2×D13—84no—
959C4×C13—21no—
960C4×C13—21no—
961C4×C13—24no—
962C4×C13—21no—
963C4×C13—21no—
964C4×C13—21no—
965C4×C13—24no—
966C4×C13—24no—
967C4×C13—21no—
968C4×C13—21no—
969C4×C13—21no—
970C4×C13—21no—
971C4×C13C2×2−1+412yes—
972C4×C13C2×2−1+412yes—
973C4×C13#58512yes—
974Dic13—24no—
975Dic13—24no—
976Dic13—28no—
977Dic13—28no—
978Dic13—24no—
979C2×#41—138no—
980C2×#41—134no—
981C2×#41C22×D1312yes—
982C2×#41C22×D1312yes—
983C2×#41C22×D1312yes—
984C22×Q8—131no—
985C22×Q8—132no—
986C22×Q8—132no—
987C22×Q8—134no—
988C22×D4—132no—
989C22×D4—131no—
990C23×C4—132no—
991C23×C4C22×D1311yescharacteristic
992C23×C4C22×D1311yescharacteristic
993C23×C4C22×D1311yescharacteristic
994C4⋊Q8—138no—
995C4⋊Q8—138no—
996C4⋊Q8—138no—
997C4⋊Q8—138no—
998C4⋊Q8—138no—
999C4⋊Q8—134no—
1000C4⋊Q8—134no—
1001C4⋊Q8—138no—
1002C4⋊Q8—132no—
1003C4⋊Q8—132no—
1004C4⋊Q8—132no—
1005C4⋊Q8—132no—
1006C4⋊Q8—132no—
1007C4⋊Q8—132no—
1008C4⋊Q8—132no—
1009C4⋊Q8—132no—
1010C4⋊Q8—134no—
1011C4⋊Q8—134no—
1012C4⋊Q8C22×D1311yescharacteristic
1013C4⋊Q8C22×D1311yescharacteristic
1014C4⋊Q8C22×D1311yescharacteristic
1015#127C22×D1311yescharacteristic
1016#126—138no—
1017#126—138no—
1018#126—138no—
1019#126—138no—
1020#126—138no—
1021#126—138no—
1022#126—138no—
1023#126—138no—
1024#126—138no—
1025#126—138no—
1026#126—138no—
1027#126—138no—
1028#126—134no—
1029#126—134no—
1030#126—134no—
1031#126—134no—
1032#126—138no—
1033#126C22×D1314yes—
1034#126C22×D1314yes—
1035#125—138no—
1036#125—138no—
1037#125—138no—
1038#125—138no—
1039#125—138no—
1040#125—138no—
1041#125—138no—
1042#125—138no—
1043#125—138no—
1044#125—138no—
1045#125—138no—
1046#125—138no—
1047#125—134no—
1048#125—134no—
1049#125—132no—
1050#125—132no—
1051#125—132no—
1052#125—132no—
1053#125—134no—
1054#125—134no—
1055#125—134no—
1056#125—134no—
1057#125—134no—
1058#125—138no—
1059#125C22×D1312yes—
1060#125C22×D1312yes—
1061#125C22×D1312yes—
1062#124—138no—
1063#124—138no—
1064#124—138no—
1065#124—138no—
1066#124—138no—
1067#124—138no—
1068#124—132no—
1069#124—132no—
1070#124—132no—
1071#124—132no—
1072#124—134no—
1073#124C22×D1312yes—
1074#124C22×D1312yes—
1075#124C22×D1312yes—
1076#123—138no—
1077#123—138no—
1078#123—138no—
1079#123—138no—
1080#123—138no—
1081#123—134no—
1082#123—134no—
1083#123—134no—
1084#123—134no—
1085#123—138no—
1086#123—138no—
1087#123—138no—
1088#123—138no—
1089#123—138no—
1090#123—138no—
1091#123—138no—
1092#123—138no—
1093#123—138no—
1094#123C22×D1314yes—
1095#123C22×D1314yes—
1096#123C22×D1314yes—
1097C22⋊Q8—134no—
1098C22⋊Q8—134no—
1099C22⋊Q8—138no—
1100C22⋊Q8—138no—
1101C22⋊Q8—132no—
1102C22⋊Q8—132no—
1103C22⋊Q8—132no—
1104C22⋊Q8—132no—
1105C22⋊Q8—134no—
1106C22⋊Q8—134no—
1107C22⋊Q8—134no—
1108C22⋊Q8—134no—
1109C22⋊Q8—134no—
1110C22⋊Q8—134no—
1111C22⋊Q8—134no—
1112C22⋊Q8—134no—
1113C22⋊Q8—134no—
1114C22⋊Q8—134no—
1115C22⋊Q8—134no—
1116C22⋊Q8—138no—
1117C22⋊Q8—138no—
1118C22⋊Q8—138no—
1119C22⋊Q8—138no—
1120C22⋊Q8—138no—
1121C22⋊Q8—138no—
1122C22⋊Q8—138no—
1123C22⋊Q8—138no—
1124C22⋊Q8—138no—
1125C22⋊Q8—138no—
1126C22⋊Q8—138no—
1127C22⋊Q8—138no—
1128C22⋊Q8—138no—
1129C22⋊Q8—138no—
1130C22⋊Q8—138no—
1131C22⋊Q8—138no—
1132C22⋊Q8—138no—
1133C22⋊Q8—138no—
1134C22⋊Q8—138no—
1135C22⋊Q8C22×D1312yes—
1136C22⋊Q8C22×D1312yes—
1137C22⋊Q8C22×D1312yes—
1138C22⋊Q8C22×D1312yes—
1139C22⋊Q8C22×D1312yes—
1140C22⋊Q8C22×D1312yes—
1141#121—134no—
1142#121—134no—
1143#121—138no—
1144#121—138no—
1145#121—138no—
1146#121—138no—
1147#121—138no—
1148#121—132no—
1149#121—132no—
1150#121—132no—
1151#121—132no—
1152#121—134no—
1153#121—138no—
1154#121C22×D1312yes—
1155#121C22×D1312yes—
1156#121C22×D1312yes—
1157#121C22×D1312yes—
1158#121C22×D1312yes—
1159#121C22×D1312yes—
1160#120—138no—
1161#120C22×D1314yes—
1162C4×Q8—134no—
1163C4×Q8—134no—
1164C4×Q8—138no—
1165C4×Q8—132no—
1166C4×Q8—134no—
1167C4×Q8—138no—
1168C4×Q8—134no—
1169C4×Q8—134no—
1170C4×Q8—132no—
1171C4×Q8—134no—
1172C4×Q8—132no—
1173C4×Q8—132no—
1174C4×Q8—134no—
1175C4×Q8—134no—
1176C4×Q8—134no—
1177C4×Q8—134no—
1178C4×Q8—134no—
1179C4×Q8—134no—
1180C4×Q8—138no—
1181C4×Q8—138no—
1182C4×Q8—134no—
1183C4×Q8C22×D1312yes—
1184C4×Q8C22×D1312yes—
1185C4×Q8C22×D1312yes—
1186C4×Q8C22×D1312yes—
1187C4×Q8C22×D1312yes—
1188C4×Q8C22×D1312yes—
1189C4×D4—138no—
1190C4×D4—138no—
1191C4×D4—138no—
1192C4×D4—134no—
1193C4×D4—134no—
1194C4×D4—134no—
1195C4×D4—134no—
1196C4×D4—134no—
1197C4×D4—134no—
1198C4×D4—138no—
1199C4×D4—138no—
1200C4×D4—138no—
1201C4×D4—138no—
1202C4×D4—138no—
1203C4×D4—132no—
1204C4×D4—132no—
1205C4×D4—132no—
1206C4×D4—132no—
1207C4×D4—134no—
1208C4×D4C22×D1314yes—
1209C4×D4C22×D1314yes—
1210C4×D4C22×D1314yes—
1211C4×D4C22×D1312yes—
1212C4×D4C22×D1312yes—
1213C4×D4C22×D1314yes—
1214C4×D4C22×D1314yes—
1215C4×D4C22×D1314yes—
1216C4×D4C22×D1312yes—
1217C4×D4C22×D1312yes—
1218C4×D4C22×D1312yes—
1219C4×D4C22×D1312yes—
1220#117—134no—
1221#117—134no—
1222#117—134no—
1223#117—134no—
1224#117—138no—
1225#117—134no—
1226#117—134no—
1227#117—134no—
1228#117—138no—
1229#117—138no—
1230#117—138no—
1231#117—138no—
1232#117—138no—
1233#117—134no—
1234#117—134no—
1235#117—134no—
1236#117—134no—
1237#117—138no—
1238#117C22×D1312yes—
1239#117C22×D1314yes—
1240#117C22×D1312yes—
1241#117C22×D1312yes—
1242#117C22×D1314yes—
1243#117C22×D1314yes—
1244C2×C4⋊C4—132no—
1245C2×C4⋊C4—132no—
1246C2×C4⋊C4—132no—
1247C2×C4⋊C4—132no—
1248C2×C4⋊C4—131no—
1249C2×C4⋊C4—132no—
1250C2×C4⋊C4—131no—
1251C2×C4⋊C4—134no—
1252C2×C4⋊C4—134no—
1253C2×C4⋊C4—132no—
1254C2×C4⋊C4—132no—
1255C2×C4⋊C4—132no—
1256C2×C4⋊C4—134no—
1257C2×C4⋊C4—138no—
1258C2×C4⋊C4—134no—
1259C2×C4⋊C4—134no—
1260C2×C22⋊C4—134no—
1261C2×C22⋊C4—132no—
1262C2×C22⋊C4—132no—
1263C2×C22⋊C4—132no—
1264C2×C22⋊C4—132no—
1265C2×C22⋊C4—132no—
1266C2×C22⋊C4—138no—
1267C2×C42—132no—
1268C2×C42—134no—
1269C2×C42—138no—
1270C2×C42—138no—
1271C2×C42C22×D1311yescharacteristic
1272C2×C42C22×D1311yescharacteristic
1273C2×C42C22×D1311yescharacteristic
1274C2×C42C22×D1311yescharacteristic
1275C2×C42C22×D1314yes—
1276C2×C42C22×D1311yescharacteristic
1277C2×C42C22×D1311yescharacteristic
1278C2×C42C22×D1311yescharacteristic
1279C2×C42C22×D1311yescharacteristic
1280C2×C42C22×D1311yescharacteristic
1281C2×C42C22×D1311yescharacteristic
1282C2×C42C22×D1311yescharacteristic
1283C2×C42C22×D1311yescharacteristic
1284C2×C13—22no—
1285C2×C13—22no—
1286C2×C13—44no—
1287C2×C13—41no—
1288C2×C13C22×2−1+411yescharacteristic
1289C2×C13C2×#58511yescharacteristic
1290C2×C13C2×#58511yescharacteristic
1291D13—44no—
1292C24—132no—
1293C24C23×D1311yescharacteristic
1294#41—28no—
1295#41—44no—
1296#41—44no—
1297#41—528no—
1298#41—5216no—
1299C2×Q8—132no—
1300C2×Q8—134no—
1301C2×Q8—132no—
1302C2×Q8—138no—
1303C2×Q8—134no—
1304C2×Q8—134no—
1305C2×Q8—134no—
1306C2×Q8—138no—
1307C2×Q8—524no—
1308C2×Q8—522no—
1309C2×Q8—524no—
1310C2×Q8—528no—
1311C2×Q8C23×D1312yes—
1312C2×Q8C23×D1312yes—
1313C2×Q8C23×D1312yes—
1314C2×D4—134no—
1315C2×D4—138no—
1316C2×D4—138no—
1317C2×D4—134no—
1318C2×D4—132no—
1319C2×D4—132no—
1320C2×D4—522no—
1321C2×D4—524no—
1322C2×D4C23×D1314yes—
1323C2×D4C23×D1312yes—
1324C2×D4C23×D1314yes—
1325C2×D4C23×D1314yes—
1326C2×D4C23×D1312yes—
1327C2×D4C23×D1312yes—
1328C22×C4—24no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—134no—
1332C22×C4—132no—
1333C22×C4—132no—
1334C22×C4—134no—
1335C22×C4—132no—
1336C22×C4—138no—
1337C22×C4—138no—
1338C22×C4—134no—
1339C22×C4—134no—
1340C22×C4—138no—
1341C22×C4—138no—
1342C22×C4—268no—
1343C22×C4C23×D1311yescharacteristic
1344C22×C4C23×D1311yescharacteristic
1345C22×C4C23×D1311yescharacteristic
1346C22×C4C23×D1311yescharacteristic
1347C22×C4C23×D1311yescharacteristic
1348C22×C4C23×D1311yescharacteristic
1349C22×C4C23×D1311yescharacteristic
1350C22×C4C23×D1311yescharacteristic
1351C22×C4C23×D1314yes—
1352C22×C4C23×D1311yescharacteristic
1353C22×C4C23×D1314yes—
1354C22×C4C23×D1311yescharacteristic
1355C22×C4C23×D1311yescharacteristic
1356C22×C4C23×D1311yescharacteristic
1357C22×C4C23×D1311yescharacteristic
1358C22×C4C23×D1311yescharacteristic
1359C22×C4C23×D1311yescharacteristic
1360C22×C4C23×D1311yescharacteristic
1361C22×C4C23×D1311yescharacteristic
1362C22×C4C23×D1314yes—
1363C22×C4C23×D1311yescharacteristic
1364C4⋊C4—132no—
1365C4⋊C4—134no—
1366C4⋊C4—134no—
1367C4⋊C4—134no—
1368C4⋊C4—134no—
1369C4⋊C4—138no—
1370C4⋊C4—132no—
1371C4⋊C4—134no—
1372C4⋊C4—134no—
1373C4⋊C4—134no—
1374C4⋊C4—138no—
1375C4⋊C4—138no—
1376C4⋊C4—134no—
1377C4⋊C4—134no—
1378C4⋊C4—134no—
1379C4⋊C4—134no—
1380C4⋊C4—134no—
1381C4⋊C4—132no—
1382C4⋊C4—132no—
1383C4⋊C4—138no—
1384C4⋊C4—138no—
1385C4⋊C4—138no—
1386C4⋊C4—138no—
1387C4⋊C4—138no—
1388C4⋊C4—138no—
1389C4⋊C4—134no—
1390C4⋊C4—134no—
1391C4⋊C4—134no—
1392C4⋊C4—134no—
1393C4⋊C4—138no—
1394C4⋊C4—138no—
1395C4⋊C4—138no—
1396C4⋊C4—138no—
1397C4⋊C4—138no—
1398C4⋊C4—138no—
1399C4⋊C4—138no—
1400C4⋊C4C23×D1312yes—
1401C4⋊C4C23×D1312yes—
1402C4⋊C4C23×D1314yes—
1403C4⋊C4C23×D1312yes—
1404C4⋊C4C23×D1312yes—
1405C4⋊C4C23×D1312yes—
1406C4⋊C4C23×D1312yes—
1407C4⋊C4C23×D1314yes—
1408C4⋊C4C23×D1314yes—
1409C4⋊C4C23×D1314yes—
1410C4⋊C4C23×D1314yes—
1411C4⋊C4C23×D1314yes—
1412C22⋊C4—138no—
1413C22⋊C4—134no—
1414C22⋊C4—138no—
1415C22⋊C4—134no—
1416C22⋊C4—138no—
1417C22⋊C4—138no—
1418C22⋊C4—138no—
1419C22⋊C4—138no—
1420C22⋊C4—134no—
1421C22⋊C4—134no—
1422C22⋊C4—134no—
1423C22⋊C4—134no—
1424C22⋊C4—138no—
1425C22⋊C4—138no—
1426C22⋊C4—134no—
1427C22⋊C4—134no—
1428C22⋊C4—134no—
1429C22⋊C4—134no—
1430C22⋊C4—138no—
1431C22⋊C4—138no—
1432C22⋊C4C23×D1314yes—
1433C22⋊C4C23×D1314yes—
1434C22⋊C4C23×D1314yes—
1435C22⋊C4C23×D1314yes—
1436C22⋊C4C23×D1314yes—
1437C22⋊C4C23×D1314yes—
1438C22⋊C4C23×D1314yes—
1439C22⋊C4C23×D1314yes—
1440C22⋊C4C23×D1314yes—
1441C42—138no—
1442C42—138no—
1443C42—134no—
1444C42—138no—
1445C42—138no—
1446C42—138no—
1447C42—134no—
1448C42—138no—
1449C42C23×D1311yescharacteristic
1450C42C23×D1311yescharacteristic
1451C42C23×D1311yescharacteristic
1452C42C23×D1311yescharacteristic
1453C42C23×D1311yescharacteristic
1454C42C23×D1311yescharacteristic
1455C42C23×D1311yescharacteristic
1456C42C23×D1311yescharacteristic
1457C42C23×D1311yescharacteristic
1458C42C23×D1311yescharacteristic
1459C42C23×D1311yescharacteristic
1460C42C23×D1311yescharacteristic
1461C42C23×D1314yes—
1462C42C23×D1314yes—
1463C42C23×D1314yes—
1464C42C23×D1311yescharacteristic
1465C42C23×D1311yescharacteristic
1466C42C23×D1311yescharacteristic
1467C42C23×D1311yescharacteristic
1468C13#6275211yescharacteristic, complemented, Sylow
1469C23—22no—
1470C23—22no—
1471C23—41no—
1472C23—134no—
1473C23—264no—
1474C23—522no—
1475C23—522no—
1476C23C24×D1311yescharacteristic
1477C23C24×D1314yes—
1478C23C24×D1311yescharacteristic
1479C23C24×D1311yescharacteristic
1480Q8—24no—
1481Q8—42no—
1482Q8—42no—
1483Q8—264no—
1484Q8—268no—
1485Q8—522no—
1486Q8—524no—
1487Q8—524no—
1488Q8—524no—
1489Q8—528no—
1490Q8—528no—
1491D4—28no—
1492D4—28no—
1493D4—24no—
1494D4—42no—
1495D4—42no—
1496D4—44no—
1497D4—268no—
1498D4—264no—
1499D4—522no—
1500D4—524no—
1501D4—528no—
1502D4—528no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—28no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—28no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—44no—
1523C2×C4—134no—
1524C2×C4—134no—
1525C2×C4—138no—
1526C2×C4—138no—
1527C2×C4—134no—
1528C2×C4—264no—
1529C2×C4—268no—
1530C2×C4—268no—
1531C2×C4—268no—
1532C2×C4—528no—
1533C2×C4—528no—
1534C2×C4—522no—
1535C2×C4—524no—
1536C2×C4—528no—
1537C2×C4—522no—
1538C2×C4—528no—
1539C2×C4#8825714yes—
1540C2×C4C24×D1311yescharacteristic
1541C2×C4C24×D1314yes—
1542C2×C4C24×D1314yes—
1543C2×C4C24×D1314yes—
1544C2×C4C24×D1311yescharacteristic
1545C2×C4C24×D1311yescharacteristic
1546C2×C4C24×D1311yescharacteristic
1547C2×C4C24×D1311yescharacteristic
1548C2×C4C24×D1311yescharacteristic
1549C2×C4C24×D1311yescharacteristic
1550C2×C4C24×D1311yescharacteristic
1551C2×C4C24×D1311yescharacteristic
1552C2×C4C24×D1311yescharacteristic
1553C2×C4C24×D1311yescharacteristic
1554C2×C4C24×D1311yescharacteristic
1555C22—21no—
1556C22—21no—
1557C22—21no—
1558C22—21no—
1559C22—21no—
1560C22—24no—
1561C22—21no—
1562C22—24no—
1563C22—21no—
1564C22—24no—
1565C22—44no—
1566C22—264no—
1567C22—264no—
1568C22—264no—
1569C22—1044no—
1570C22C2×#8825712yes—
1571C22#1171964812yes—
1572C22C25×D1311yescharacteristic
1573C4—21no—
1574C4—21no—
1575C4—24no—
1576C4—21no—
1577C4—21no—
1578C4—21no—
1579C4—21no—
1580C4—21no—
1581C4—21no—
1582C4—21no—
1583C4—24no—
1584C4—24no—
1585C4—264no—
1586C4—268no—
1587C4—264no—
1588C4—268no—
1589C4—264no—
1590C4C2×#8825712yes—
1591C4C2×#8825712yes—
1592C4#1171964812yes—
1593C2—22no—
1594C2—22no—
1595C2—41no—
1596C2—44no—
1597C2—524no—
1598C2C22×#8825711yescharacteristic
1599C2C2×#1171964811yescharacteristic
1600C2C2×#1171964811yescharacteristic
subgroupG/H
centerC2×C4C24×D13
commutator, socle, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC13×#3444C2
hypercenter#3444D13
hypocenterC13#62752
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #13129473C2semidirect
2. #13129454C2semidirect
3. #13129446C2semidirect
4. #13129439C2semidirect
5. #13129406C2semidirect
6. #13129374C2semidirect
7. #13129324C2semidirect
8. #13129281C2semidirect
9. #13129225C2semidirect
10. #13129176C2semidirect
11. #13129085C2semidirect
12. #13129063C2semidirect
13. #13129039C2semidirect
14. #13128981C2semidirect
15. #13128451C2semidirect
16. #41×Dic26C2semidirect
17. #13128400C2semidirect
18. #13128396C2semidirect
19. #13128265C2semidirect
20. #13128263C2semidirect
21. #13128239C2semidirect
22. #13128225C2semidirect
23. C2×#11719175C2semidirect
24. C2×#11719184C2semidirect
25. C13×#3444C2semidirect
27. C13×#533C22semidirect
28. C13×#533C22semidirect
30. C13×#532C22semidirect
31. C13×#532C22semidirect
34. C13×#529C22semidirect
35. C13×#529C22semidirect
36. C13×#529C22semidirect
37. C13×#529C22semidirect
42. C4×C13×#41C22semidirect
43. C4×C13×#41C22semidirect
48. #11719530C22semidirect
49. #11719529C22semidirect
57. #11719436C22semidirect
58. #11719434C22semidirect
59. #11719434C22semidirect
60. #11719424C22semidirect
61. #11719417C22semidirect
62. #11719417C22semidirect
63. #11719415C22semidirect
64. #11719406C22semidirect
65. #11719404C22semidirect
66. #11719401C22semidirect
67. #11719394C22semidirect
68. #11719394C22semidirect
69. C13⋊#564C22semidirect
70. #11719389C22semidirect
71. #11719387C22semidirect
72. #11719387C22semidirect
73. #11719377C22semidirect
74. #11719374C22semidirect
76. #11719370C22semidirect
78. #11719356C22semidirect
80. #11719353C22semidirect
81. #11719351C22semidirect
83. #11719347C22semidirect
84. #11719346C22semidirect
85. #11719344C22semidirect
86. #11719340C22semidirect
91. #11719328C22semidirect
92. #11719326C22semidirect
93. #11719323C22semidirect
96. #11719321C22semidirect
97. #11719319C22semidirect
98. #11719316C22semidirect
101. #11719307C22semidirect
105. #11719289C22semidirect
106. #11719289C22semidirect
107. #11719288C22semidirect
108. #11719286C22semidirect
109. #11719284C22semidirect
110. #11719283C22semidirect
111. #11719283C22semidirect
112. #11719275C22semidirect
113. #11719274C22semidirect
114. #11719272C22semidirect
115. Q8×Dic26C22semidirect
116. #11719269C22semidirect
117. #11719269C22semidirect
118. #11719268C22semidirect
119. #11719266C22semidirect
120. #11719263C22semidirect
121. #11719262C22semidirect
125. #11719257C22semidirect
126. #11719256C22semidirect
129. #11719248C22semidirect
131. #11719246C22semidirect
132. #11719246C22semidirect
134. #11719244C22semidirect
135. #11719243C22semidirect
136. #11719243C22semidirect
137. #11719243C22semidirect
138. #11719243C22semidirect
140. D4×Dic26C22semidirect
141. D4×Dic26C22semidirect
142. C4×#6129C22semidirect
144. #11719239C22semidirect
145. #11719238C22semidirect
146. #11719236C22semidirect
147. #11719236C22semidirect
148. #11719233C22semidirect
149. #11719231C22semidirect
151. #11719224C22semidirect
152. #11719223C22semidirect
153. #11719223C22semidirect
155. #11719222C22semidirect
164. #11719184C22semidirect
167. C4×#6127C22semidirect
174. #11719175C22semidirect
175. #11719175C22semidirect
176. #11719175C22semidirect
177. #11719175C22semidirect
178. #11719175C22semidirect
180. C2×#88124C22semidirect
181. C2×#88123C22semidirect
182. C2×#88123C22semidirect
184. C2×C4×Dic26C22semidirect
185. C2×C4×Dic26C22semidirect
186. C2×C4×Dic26C22semidirect
691. #3444D13semidirect
884. #533C2×D13semidirect
885. #533C2×D13semidirect
887. #532C2×D13semidirect
888. #532C2×D13semidirect
908. #529C2×D13semidirect
909. #529C2×D13semidirect
910. #529C2×D13semidirect
911. #529C2×D13semidirect
929. C4×#41C2×D13semidirect
930. C4×#41C2×D13semidirect
1468. C13#62752semidirect

Maximal subgroups

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

subgroupindex
#131294732
#131294542
#131294462
#131294392
#131294062
#131293742
#131293242
#131292812
#131292252
#131291762
#131290852
#131290632
#131290392
#131289812
#131284512
#41×Dic262
#131284002
#131283962
#131282652
#131282632
#131282392
#131282252
C2×#117191752
C2×#117191842
C13×#34442
#6275213