Finite Group Databasebeta

← #31763677

Subgroups — #31763677

Order 17152.

6518 conjugacy classes of subgroups.

The subgroup lattice has 2068 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574717C211yesmaximal, characteristic, complemented
2#22574714C211yesmaximal, characteristic, complemented
3#22574708C212yesmaximal, complemented
4#22574702C211yesmaximal, characteristic, complemented
5#22574695C212yesmaximal, complemented
6#22574687C212yesmaximal, complemented
7#22574678C212yesmaximal, complemented
8#22574670C212yesmaximal, complemented
9#22574659C214yesmaximal, complemented
10#22574642C214yesmaximal, complemented
11#22574617C212yesmaximal, complemented
12#22574603C211yesmaximal, characteristic, complemented
13#22574497C214yesmaximal, complemented
14#22574489C214yesmaximal, complemented
15#22574354C214yesmaximal, complemented
16#22573822C214yesmaximal, complemented
17#22573806C212yesmaximal, complemented
18#22573802C212yesmaximal, complemented
19#41×Dic134C212yesmaximal, complemented
20#22573787C212yesmaximal, complemented
21#22573638C214yesmaximal, complemented
22#22573634C214yesmaximal, complemented
23#22573599C211yesmaximal, characteristic, complemented
24#22573597C212yesmaximal, complemented
25#22573501C212yesmaximal, complemented
26C2×#16863949C211yesmaximal, characteristic, complemented
27C67×#3455C211yesmaximal, characteristic, complemented
28C67⋊#564C2214yescomplemented
29#16864150C2214yescomplemented
30#16864149C2214yes—
31#16864149C2214yescomplemented
32#16864148C2214yes—
33#16864148C2214yes—
34#16864148C2214yescomplemented
35#16864148C2214yescomplemented
36#16864147C2214yescomplemented
37#16864147C2214yescomplemented
38#16864146C2214yes—
39#16864143C2214yes—
40#16864143C2214yescomplemented
41#16864141C2214yes—
42#16864141C2214yes—
43#16864140C2214yes—
44#16864132C2212yescomplemented
45#16864131C2212yescomplemented
46#16864129C2212yescomplemented
47#16864129C2212yescomplemented
48#16864128C2212yescomplemented
49#16864128C2212yescomplemented
50Q8×Dic134C2212yescomplemented
51#16864126C2212yescomplemented
52#16864125C2212yescomplemented
53#16864124C2212yescomplemented
54#16864123C2214yescomplemented
55#16864123C2212yescomplemented
56#16864123C2212yescomplemented
57#16864122C2212yescomplemented
58#16864122C2212yescomplemented
59#16864121C2212yescomplemented
60#16864121C2212yescomplemented
61#16864120C2212yescomplemented
62#16864118C2212yescomplemented
63#16864118C2212yescomplemented
64#16864116C2212yescomplemented
65#16864115C2214yes—
66#16864115C2212yescomplemented
67#16864115C2212yescomplemented
68#16864113C2214yes—
69#16864113C2214yescomplemented
70#16864107C2212yescomplemented
71#16864105C2214yes—
72#16864105C2214yes—
73#16864105C2212yescomplemented
74#16864105C2212yescomplemented
75#16864104C2214yes—
76#16864103C2214yes—
77#16864103C2212yescomplemented
78#16864102C2212yescomplemented
79#16864102C2212yescomplemented
80#16864100C2214yes—
81#16864100C2214yes—
82#16864098C2214yes—
83#16864095C2214yes—
84#16864095C2214yes—
85#16864092C2214yes—
86#16864089C2214yes—
87#16864089C2214yes—
88#16864088C2214yescomplemented
89#16864084C2214yescomplemented
90#16864083C2214yes—
91#16864083C2214yescomplemented
92#16864082C2214yes—
93#16864082C2214yescomplemented
94#16864067C2212yescomplemented
95#16864066C2212yescomplemented
96D4×Dic134C2214yes—
97D4×Dic134C2212yescomplemented
98#16864061C2212yescomplemented
99#16864059C2214yes—
100#16864059C2214yescomplemented
101#16864055C2214yes—
102#16864054C2214yes—
103#16864052C2214yes—
104#16864052C2214yes—
105#16864046C2214yes—
106#16864044C2214yes—
107#16864044C2214yescomplemented
108#16864026C2214yescomplemented
109#16864025C2214yescomplemented
110#16864019C2212yes—
111#16864019C2212yes—
112#16864017C2212yes—
113#16864017C2212yes—
114#16864015C2214yes—
115#16864014C2214yes—
116#16864014C2214yescomplemented
117#16864013C2212yes—
118#16864013C2212yes—
119#16864013C2214yes—
120#16864012C2214yes—
121#16864012C2214yescomplemented
122#16864010C2214yes—
123#16864010C2214yes—
124#16864009C2214yescomplemented
125#16864008C2211yescharacteristic
126#16864008C2211yescharacteristic
127#16864006C2212yes—
128#16864006C2212yes—
129#16864006C2214yescomplemented
130#16864005C2214yescomplemented
131#16864005C2214yescomplemented
132#16864003C2214yes—
133#16864003C2214yes—
134#16864003C2214yescomplemented
135#16864003C2214yescomplemented
136#16864001C2211yescharacteristic
137#16864001C2211yescharacteristic
138#16863999C2212yes—
139#16863999C2212yes—
140#16863995C2214yescomplemented
141#16863993C2214yes—
142#16863991C2214yes—
143#16863990C2214yes—
144#16863990C2214yes—
145#16863990C2214yes—
146#16863990C2214yescomplemented
147#16863989C2214yes—
148#16863989C2214yescomplemented
149#16863987C2214yes—
150#16863987C2214yescomplemented
151#16863984C2214yes—
152#16863981C2214yes—
153#16863981C2214yes—
154#16863975C2214yes—
155#16863973C2214yes—
156#16863969C2214yescomplemented
157#16863968C2214yes—
158#16863968C2214yescomplemented
159#16863966C2214yes—
160#16863953C2211yescharacteristic
161#16863953C2214yescomplemented
162#16863950C2214yescomplemented
163#16863950C2214yescomplemented
164#16863950C2214yescomplemented
165#16863949C2211yescharacteristic
166#16863949C2212yes—
167#16863949C2211yescharacteristic
168#16863949C2212yes—
169#16863949C2212yes—
170#16863949C2212yes—
171#16863949C2212yes—
172#16863949C2212yes—
173#16863949C2211yescharacteristic
174#16863949C2211yescharacteristic
175#16863949C2212yes—
176#16863949C2212yes—
177#16863949C2214yescomplemented
178#16863949C2214yescomplemented
179#16863948C2212yes—
180#16863948C2212yes—
181#16863946C2211yescharacteristic
182#16863942C2212yes—
183#16863942C2212yes—
184#16863941C2212yes—
185#16863941C2212yes—
186C2×#14524042C2212yes—
187#16863932C2212yes—
188#16863932C2212yes—
189#16863930C2214yescomplemented
190#16863928C2214yes—
191#16863928C2214yes—
192#16863928C2214yescomplemented
193#16863927C2212yes—
194#16863927C2212yes—
195#16863926C2214yes—
196#16863926C2214yes—
197#16863926C2214yes—
198#16863926C2214yes—
199#16863926C2214yescomplemented
200#16863926C2214yescomplemented
201#16863924C2214yes—
202#16863924C2214yes—
203#16863924C2214yescomplemented
204#16863924C2214yescomplemented
205#16863923C2214yes—
206#16863923C2214yes—
207C2×#14524034C2212yes—
208#16863907C2212yes—
209#16863902C2214yes—
210#16863902C2214yes—
211C2×#14524020C2212yes—
212C2×#14524020C2212yes—
213#41×Dic67C2212yes—
214#41×Dic67C2212yes—
215C4×#11761628C2212yes—
216C4×#11761628C2214yescomplemented
217#16863864C2212yes—
218#16863864C2212yes—
219C4×#11761627C2214yes—
220C4×#11761627C2214yes—
221C4×#11761627C2214yescomplemented
222C2×C4×Dic134C2212yes—
223C2×C4×Dic134C2212yes—
224C2×C4×Dic134C2214yescomplemented
225C4×Q8×D67C2214yescomplemented
226C2×#14524002C2211yescharacteristic
227C22×C4×Dic67C2211yescharacteristic
228#542×C67C2212yes—
229#542×C67C2212yes—
230#541×C67C2211yescharacteristic
231#541×C67C2211yescharacteristic
232#540×C67C2211yescharacteristic
233#540×C67C2211yescharacteristic
234#539×C67C2214yes—
235#538×C67C2214yes—
236#533×C67C2211yescharacteristic
237#532×C67C2211yescharacteristic
238#529×C67C2214yes—
239#529×C67C2214yes—
240#525×C67C2212yes—
241C4×#41×C67C2212yes—
242C2×#117×C67C2211yescharacteristic
243C2×#11761628C2312yes—
244C2×#11761628C2314yes—
245C2×#11761627C2314yes—
246C2×#11761627C2314yes—
247C2×#11761627C2314yes—
248C22×Dic134C2312yes—
249C22×Dic134C2314yes—
250C22×Dic134C2312yes—
251C2×Q8×D67C2314yes—
252C23×Dic67C2312yes—
253#14524043C2311yescharacteristic
254#14524043C2314yes—
255#14524043C2314yes—
256#14524043C2312yes—
257#14524042C2314yes—
258#14524042C2314yes—
259#14524042C2312yes—
260#14524042C2314yes—
261#14524042C2312yes—
262#14524042C2314yes—
263#14524042C2314yes—
264#14524042C2312yes—
265#14524042C2312yes—
266#14524042C2312yes—
267#14524042C2314yes—
268#14524042C2314yes—
269#14524042C2312yes—
270#14524042C2312yes—
271#14524042C2312yes—
272#14524042C2312yes—
273#14524042C2312yes—
274#14524042C2312yes—
275#14524042C2312yes—
276#14524041C2312yes—
277#14524041C2314yes—
278#14524041C2314yes—
279#14524041C2314yes—
280#14524041C2312yes—
281#14524040C2311yescharacteristic
282#14524039C2312yes—
283#14524039C2312yes—
284#14524038C2314yes—
285#14524038C2314yes—
286#14524038C2314yes—
287#14524038C2314yes—
288#14524038C2314yes—
289#14524038C2314yes—
290#14524038C2314yes—
291#14524038C2314yes—
292#14524038C2314yes—
293#14524038C2314yes—
294#14524037C2314yes—
295#14524037C2314yes—
296#14524036C2314yes—
297#14524036C2314yes—
298#14524036C2314yes—
299#14524036C2314yes—
300#14524036C2314yes—
301#14524036C2314yes—
302#14524036C2314yes—
303#14524036C2314yes—
304#14524036C2314yes—
305#14524036C2314yes—
306#14524036C2314yes—
307#14524036C2314yes—
308#14524036C2314yes—
309#14524036C2314yes—
310#14524036C2314yes—
311#14524036C2314yes—
312#14524035C2311yescharacteristic
313#14524035C2311yescharacteristic
314#14524035C2314yes—
315#14524035C2314yes—
316#14524035C2314yes—
317#14524034C2314yes—
318#14524034C2314yes—
319#14524034C2312yes—
320#14524034C2314yes—
321#14524034C2312yes—
322#14524034C2314yes—
323#14524034C2314yes—
324#14524034C2312yes—
325#14524034C2312yes—
326#14524034C2312yes—
327#14524034C2314yes—
328#14524034C2312yes—
329#14524034C2314yes—
330#14524034C2312yes—
331#14524034C2312yes—
332#14524034C2312yes—
333#14524034C2312yes—
334#14524034C2312yes—
335#14524034C2312yes—
336#14524033C2314yes—
337#14524033C2314yes—
338#14524033C2314yes—
339#14524033C2314yes—
340#14524033C2314yes—
341#14524033C2314yes—
342#14524033C2314yes—
343#14524033C2314yes—
344#14524033C2314yes—
345#14524033C2314yes—
346#14524033C2314yes—
347#14524033C2314yes—
348#14524033C2314yes—
349#14524033C2314yes—
350#14524033C2314yes—
351#14524033C2314yes—
352#14524032C2312yes—
353#14524032C2312yes—
354#14524031C2314yes—
355#14524031C2312yes—
356#14524030C2314yes—
357#14524030C2312yes—
358#14524030C2314yes—
359#14524030C2314yes—
360#14524030C2312yes—
361#14524029C2314yes—
362#14524029C2314yes—
363#14524029C2314yes—
364#14524029C2314yes—
365#14524029C2314yes—
366#14524029C2314yes—
367#14524029C2314yes—
368#14524029C2314yes—
369#14524029C2314yes—
370#14524029C2314yes—
371#14524028C2314yes—
372#14524028C2314yes—
373#14524028C2314yes—
374#14524028C2314yes—
375#14524027C2314yes—
376#14524027C2314yes—
377#14524027C2314yes—
378#14524027C2314yes—
379#14524027C2314yes—
380#14524027C2314yes—
381#14524026C2314yes—
382#14524026C2314yes—
383#14524026C2314yes—
384#14524025C2314yes—
385#14524025C2314yes—
386#14524025C2314yes—
387#14524025C2314yes—
388#14524025C2314yes—
389#14524025C2314yes—
390#14524025C2314yes—
391#14524025C2314yes—
392#14524025C2314yes—
393#14524025C2314yes—
394#14524024C2314yes—
395#14524024C2314yes—
396#14524024C2314yes—
397#14524024C2314yes—
398#14524024C2314yes—
399#14524024C2314yes—
400#14524023C2314yes—
401#14524023C2314yes—
402#14524023C2314yes—
403#14524023C2314yes—
404#14524023C2314yes—
405#14524023C2314yes—
406#14524022C2312yes—
407#14524022C2312yes—
408#14524022C2314yes—
409#14524022C2314yes—
410#14524022C2314yes—
411#14524022C2314yes—
412#14524022C2314yes—
413#14524022C2314yes—
414#14524021C2314yes—
415#14524021C2314yes—
416#14524021C2314yes—
417#14524021C2314yes—
418#14524021C2314yes—
419#14524021C2314yes—
420#14524021C2314yes—
421#14524021C2314yes—
422#14524021C2314yes—
423#14524021C2314yes—
424#14524020C2312yes—
425#14524020C2312yes—
426#14524020C2314yes—
427#14524020C2314yes—
428#14524020C2314yes—
429#14524020C2314yes—
430#14524020C2314yes—
431#14524020C2312yes—
432#14524020C2312yes—
433#14524020C2314yes—
434#14524020C2314yes—
435#14524020C2312yes—
436#14524020C2314yes—
437#14524020C2312yes—
438#14524020C2314yes—
439#14524020C2314yes—
440#14524020C2312yes—
441#14524020C2314yes—
442#14524020C2312yes—
443#14524020C2314yes—
444#14524020C2314yes—
445#14524020C2312yes—
446#14524020C2312yes—
447#14524020C2312yes—
448#14524020C2312yes—
449#14524020C2314yes—
450#14524020C2314yes—
451#14524020C2314yes—
452#14524020C2314yes—
453#14524020C2312yes—
454#14524020C2312yes—
455#14524020C2312yes—
456#14524020C2312yes—
457#14524020C2314yes—
458#14524019C2314yes—
459#14524019C2314yes—
460#14524019C2314yes—
461#14524017C2312yes—
462#14524017C2312yes—
463#14524017C2314yes—
464#14524017C2314yes—
465#14524016C2314yes—
466#14524016C2314yes—
467#14524016C2314yes—
468#14524016C2314yes—
469#14524015C2314yes—
470#14524015C2314yes—
471#14524015C2314yes—
472#14524015C2314yes—
473#14524015C2314yes—
474#14524015C2314yes—
475#14524015C2314yes—
476#14524015C2314yes—
477#14524015C2314yes—
478#14524015C2314yes—
479#14524014C2314yes—
480#14524014C2314yes—
481#14524014C2314yes—
482#14524012C2314yes—
483Q8×Dic67C2312yes—
484Q8×Dic67C2312yes—
485Q8×Dic67C2314yes—
486Q8×Dic67C2312yes—
487Q8×Dic67C2312yes—
488C4×Dic134C2314yes—
489C4×Dic134C2314yes—
490C4×Dic134C2314yes—
491C4×Dic134C2314yes—
492C4×Dic134C2314yes—
493C4×Dic134C2312yes—
494C4×Dic134C2312yes—
495C4×Dic134C2312yes—
496C4×Dic134C2312yes—
497C4×Dic134C2312yes—
498C4×Dic134C2312yes—
499C4×Dic134C2312yes—
500C4×Dic134C2312yes—
501C4×Dic134C2312yes—
502C4×Dic134C2312yes—
503C4×Dic134C2312yes—
504C4×Dic134C2314yes—
505C4×Dic134C2314yes—
506C4×Dic134C2312yes—
507C4×Dic134C2312yes—
508C4×Dic134C2312yes—
509C4×Dic134C2312yes—
510C4×Dic134C2312yes—
511C4×Dic134C2312yes—
512C4×Dic134C2312yes—
513C4×Dic134C2314yes—
514C4×Dic134C2314yes—
515C4×Dic134C2314yes—
516#14524008C2314yes—
517#14524008C2314yes—
518#14524008C2314yes—
519#14524008C2314yes—
520#14524008C2312yes—
521#14524008C2312yes—
522#14524008C2314yes—
523#14524008C2314yes—
524#14524008C2312yes—
525#14524008C2312yes—
526C4×D268C2312yes—
527C4×D268C2312yes—
528C4×D268C2314yes—
529C4×D268C2314yes—
530D4×Dic67C2314yes—
531D4×Dic67C2312yes—
532D4×Dic67C2312yes—
533D4×Dic67C2314yes—
534D4×Dic67C2314yes—
535D4×Dic67C2314yes—
536D4×Dic67C2314yes—
537D4×Dic67C2314yes—
538D4×Dic67C2312yes—
539D4×Dic67C2314yes—
540D4×Dic67C2312yes—
541#14524005C2312yes—
542#14524005C2312yes—
543#14524005C2312yes—
544#14524005C2312yes—
545C4×C22⋊D67C2314yes—
546C4×C22⋊D67C2314yes—
547C4×C22⋊D67C2314yes—
548C4×C22⋊D67C2314yes—
549C4×C22⋊D67C2314yes—
550C4×C22⋊D67C2314yes—
551C4×C22⋊D67C2314yes—
552C4×C22⋊D67C2314yes—
553C4×C22⋊D67C2314yes—
554C4×C22⋊D67C2314yes—
555(C22⋊D67)⋊C4C2314yes—
556(C22⋊D67)⋊C4C2314yes—
557(C22⋊D67)⋊C4C2314yes—
558(C22⋊D67)⋊C4C2314yes—
559(C22⋊D67)⋊C4C2314yes—
560(C22⋊D67)⋊C4C2314yes—
561(C22⋊D67)⋊C4C2314yes—
562(C22⋊D67)⋊C4C2314yes—
563(C22⋊D67)⋊C4C2314yes—
564(C22⋊D67)⋊C4C2314yes—
565#14524002C2311yescharacteristic
566#14524002C2312yes—
567#14524002C2314yes—
568#14524002C2311yescharacteristic
569#14524002C2311yescharacteristic
570#14524002C2312yes—
571#14524002C2311yescharacteristic
572#14524002C2312yes—
573#14524002C2314yes—
574#14524002C2314yes—
575#14524001C2314yes—
576#14524001C2314yes—
577#14524001C2314yes—
578#14524000C2314yes—
579#14524000C2314yes—
580#14524000C2314yes—
581#14524000C2314yes—
582#14524000C2314yes—
583#14523999C2314yes—
584#14523999C2314yes—
585#14523999C2314yes—
586#14523999C2314yes—
587#14523999C2314yes—
588#14523999C2314yes—
589C2×C4⋊Dic67C2314yes—
590C2×C4⋊Dic67C2312yes—
591C2×C4⋊Dic67C2312yes—
592C2×C4⋊Dic67C2312yes—
593C2×Dic67⋊C4C2314yes—
594C2×Dic67⋊C4C2314yes—
595C2×Dic67⋊C4C2312yes—
596C2×Dic67⋊C4C2312yes—
597C2×Dic67⋊C4C2312yes—
598C2×Dic67⋊C4C2312yes—
599C4⋊C4×D67C2314yes—
600C4⋊C4×D67C2314yes—
601C4⋊C4×D67C2314yes—
602C2×C22⋊Dic67C2311yescharacteristic
603C2×C22⋊Dic67C2311yescharacteristic
604C2×C4×Dic67C2312yes—
605C2×C4×Dic67C2311yescharacteristic
606C2×C4×Dic67C2312yes—
607C2×C4×Dic67C2311yescharacteristic
608C2×C4×Dic67C2311yescharacteristic
609C2×C4×Dic67C2311yescharacteristic
610C2×C4×Dic67C2311yescharacteristic
611C2×C4×Dic67C2312yes—
612C2×C4×Dic67C2311yescharacteristic
613C2×C4×Dic67C2312yes—
614C2×C4×Dic67C2314yes—
615C2×C4×Dic67C2314yes—
616C42×D67C2314yes—
617C42×D67C2314yes—
618C42×D67C2314yes—
619C2×#41×C67C2312yes—
620C23×C4×C67C2311yescharacteristic
621C4⋊Q8×C67C2312yes—
622C4⋊Q8×C67C2311yescharacteristic
623#127×C67C2311yescharacteristic
624#126×C67C2314yes—
625#126×C67C2314yes—
626#126×C67C2314yes—
627#126×C67C2314yes—
628#125×C67C2314yes—
629#125×C67C2314yes—
630#125×C67C2311yescharacteristic
631#125×C67C2311yescharacteristic
632#124×C67C2314yes—
633#124×C67C2314yes—
634#124×C67C2312yes—
635#123×C67C2314yes—
636#123×C67C2314yes—
637#123×C67C2314yes—
638#123×C67C2314yes—
639#123×C67C2314yes—
640C22⋊Q8×C67C2312yes—
641C22⋊Q8×C67C2312yes—
642C22⋊Q8×C67C2314yes—
643C22⋊Q8×C67C2314yes—
644C22⋊Q8×C67C2314yes—
645#121×C67C2312yes—
646#121×C67C2312yes—
647#121×C67C2314yes—
648#121×C67C2314yes—
649#121×C67C2314yes—
650#120×C67C2314yes—
651C4×Q8×C67C2312yes—
652C4×Q8×C67C2312yes—
653C4×Q8×C67C2314yes—
654C4×D4×C67C2314yes—
655C4×D4×C67C2314yes—
656C4×D4×C67C2312yes—
657C4×D4×C67C2312yes—
658C4×D4×C67C2314yes—
659C4×D4×C67C2314yes—
660C4×D4×C67C2314yes—
661#117×C67C2311yescharacteristic
662#117×C67C2311yescharacteristic
663#117×C67C2311yescharacteristic
664#117×C67C2311yescharacteristic
665#117×C67C2312yes—
666#117×C67C2312yes—
667#117×C67C2312yes—
668#117×C67C2314yes—
669C2×C4⋊C4×C67C2312yes—
670C2×C22⋊C4×C67C2312yes—
671C2×C42×C67C2311yescharacteristic
672C2×C42×C67C2311yescharacteristic
673C2×C42×C67C2314yes—
674#11761628—28no—
675#11761628—48no—
676#11761627—48no—
677#11761627—48no—
678#11761627—48no—
679C2×Dic134—44no—
680C2×Dic134—48no—
681C2×Dic134—44no—
682C2×Dic134C2412yes—
683C2×Dic134C2412yes—
684C2×Dic134C2414yes—
685C2×Dic134C2412yes—
686C2×Dic134C2412yes—
687C2×Dic134C2412yes—
688C2×Dic134C2414yes—
689C2×Dic134C2414yes—
690C2×Dic134C2412yes—
691C2×Dic134C2412yes—
692C2×Dic134C2414yes—
693C2×Dic134C2412yes—
694C2×Dic134C2414yes—
695C2×Dic134C2412yes—
696Q8×D67—48no—
697C2×D268C2412yes—
698C2×D268C2414yes—
699C2×C22⋊D67C2414yes—
700C2×C22⋊D67C2414yes—
701C2×C22⋊D67C2414yes—
702C2×C22⋊D67C2414yes—
703C2×C22⋊D67C2414yes—
704C2×C22⋊D67C2414yes—
705C2×C22⋊D67C2414yes—
706C22×Dic67—44no—
707C22×Dic67C2412yes—
708C22×Dic67C2412yes—
709C22×Dic67C2412yes—
710C22×Dic67C2414yes—
711C22×Dic67C2412yes—
712C22×Dic67C2412yes—
713C22×Dic67C2412yes—
714C22×Dic67C2412yes—
715C22×Dic67C2412yes—
716C22×Dic67C2414yes—
717C22×Dic67C2414yes—
718C22×Dic67C2414yes—
719C2×C4×D67C2414yes—
720C2×C4×D67C2414yes—
721C2×C4×D67C2414yes—
722C2×C4×D67C2414yes—
723C2×C4×D67C2414yes—
724C2×C4×D67C2414yes—
725C2×C4×D67C2414yes—
726C4⋊Dic67C2412yes—
727C4⋊Dic67C2414yes—
728C4⋊Dic67C2414yes—
729C4⋊Dic67C2412yes—
730C4⋊Dic67C2412yes—
731C4⋊Dic67C2412yes—
732C4⋊Dic67C2412yes—
733C4⋊Dic67C2412yes—
734C4⋊Dic67C2412yes—
735C4⋊Dic67C2412yes—
736C4⋊Dic67C2412yes—
737C4⋊Dic67C2414yes—
738C4⋊Dic67C2412yes—
739C4⋊Dic67C2412yes—
740C4⋊Dic67C2412yes—
741C4⋊Dic67C2414yes—
742C4⋊Dic67C2414yes—
743C4⋊Dic67C2412yes—
744C4⋊Dic67C2412yes—
745C4⋊Dic67C2414yes—
746C4⋊Dic67C2414yes—
747C4⋊Dic67C2414yes—
748C4⋊Dic67C2414yes—
749C4⋊Dic67C2414yes—
750Dic67⋊C4C2412yes—
751Dic67⋊C4C2412yes—
752Dic67⋊C4C2414yes—
753Dic67⋊C4C2414yes—
754Dic67⋊C4C2414yes—
755Dic67⋊C4C2414yes—
756Dic67⋊C4C2412yes—
757Dic67⋊C4C2412yes—
758Dic67⋊C4C2412yes—
759Dic67⋊C4C2412yes—
760Dic67⋊C4C2412yes—
761Dic67⋊C4C2412yes—
762Dic67⋊C4C2412yes—
763Dic67⋊C4C2414yes—
764Dic67⋊C4C2412yes—
765Dic67⋊C4C2414yes—
766Dic67⋊C4C2414yes—
767Dic67⋊C4C2412yes—
768Dic67⋊C4C2414yes—
769Dic67⋊C4C2412yes—
770Dic67⋊C4C2412yes—
771Dic67⋊C4C2412yes—
772Dic67⋊C4C2412yes—
773Dic67⋊C4C2412yes—
774Dic67⋊C4C2414yes—
775Dic67⋊C4C2414yes—
776Dic67⋊C4C2414yes—
777Dic67⋊C4C2414yes—
778Dic67⋊C4C2414yes—
779Dic67⋊C4C2414yes—
780Dic67⋊C4C2414yes—
781Dic67⋊C4C2414yes—
782Dic67⋊C4C2414yes—
783Dic67⋊C4C2414yes—
784Dic67⋊C4C2414yes—
785Dic67⋊C4C2414yes—
786Dic67⋊C4C2414yes—
787Dic67⋊C4C2414yes—
788C22⋊Dic67C2411yescharacteristic
789C22⋊Dic67C2412yes—
790C22⋊Dic67C2411yescharacteristic
791C22⋊Dic67C2412yes—
792C22⋊Dic67C2411yescharacteristic
793C22⋊Dic67C2411yescharacteristic
794C22⋊Dic67C2414yes—
795C22⋊Dic67C2414yes—
796C22⋊Dic67C2414yes—
797C22⋊Dic67C2414yes—
798C22⋊Dic67C2414yes—
799C22⋊Dic67C2414yes—
800C22⋊Dic67C2414yes—
801C22⋊Dic67C2414yes—
802C22⋊Dic67C2414yes—
803C22⋊Dic67C2414yes—
804C22⋊Dic67C2414yes—
805(C2×D67)⋊C4C2414yes—
806(C2×D67)⋊C4C2414yes—
807(C2×D67)⋊C4C2414yes—
808(C2×D67)⋊C4C2414yes—
809(C2×D67)⋊C4C2414yes—
810(C2×D67)⋊C4C2414yes—
811(C2×D67)⋊C4C2414yes—
812(C2×D67)⋊C4C2414yes—
813(C2×D67)⋊C4C2414yes—
814(C2×D67)⋊C4C2414yes—
815(C2×D67)⋊C4C2414yes—
816(C2×D67)⋊C4C2414yes—
817(C2×D67)⋊C4C2414yes—
818(C2×D67)⋊C4C2414yes—
819C4×Dic67C2412yes—
820C4×Dic67C2412yes—
821C4×Dic67C2414yes—
822C4×Dic67C2414yes—
823C4×Dic67C2414yes—
824C4×Dic67C2414yes—
825C4×Dic67C2414yes—
826C4×Dic67C2414yes—
827C4×Dic67C2414yes—
828C4×Dic67C2411yescharacteristic
829C4×Dic67C2412yes—
830C4×Dic67C2412yes—
831C4×Dic67C2412yes—
832C4×Dic67C2411yescharacteristic
833C4×Dic67C2412yes—
834C4×Dic67C2412yes—
835C4×Dic67C2412yes—
836C4×Dic67C2411yescharacteristic
837C4×Dic67C2411yescharacteristic
838C4×Dic67C2414yes—
839C4×Dic67C2414yes—
840C4×Dic67C2414yes—
841C4×Dic67C2412yes—
842C4×Dic67C2412yes—
843C4×Dic67C2414yes—
844C24×C67C2411yescharacteristic
845#41×C67—28no—
846C2×Q8×C67C2412yes—
847C2×Q8×C67C2414yes—
848C2×D4×C67C2414yes—
849C2×D4×C67C2412yes—
850C2×D4×C67C2414yes—
851C2×D4×C67C2414yes—
852C2×D4×C67C2414yes—
853C22×C4×C67—24no—
854C22×C4×C67C2414yes—
855C22×C4×C67C2411yescharacteristic
856C22×C4×C67C2411yescharacteristic
857C22×C4×C67C2411yescharacteristic
858C22×C4×C67C2411yescharacteristic
859C22×C4×C67C2411yescharacteristic
860C22×C4×C67C2412yes—
861C22×C4×C67C2412yes—
862C22×C4×C67C2414yes—
863C22×C4×C67C2414yes—
864C22×C4×C67C2411yescharacteristic
865C4⋊C4×C67C2412yes—
866C4⋊C4×C67C2412yes—
867C4⋊C4×C67C2412yes—
868C4⋊C4×C67C2412yes—
869C4⋊C4×C67C2412yes—
870C4⋊C4×C67C2412yes—
871C4⋊C4×C67C2414yes—
872C4⋊C4×C67C2414yes—
873C4⋊C4×C67C2414yes—
874C4⋊C4×C67C2414yes—
875C4⋊C4×C67C2414yes—
876C4⋊C4×C67C2414yes—
877C4⋊C4×C67C2414yes—
878C4⋊C4×C67C2414yes—
879C22⋊C4×C67C2412yes—
880C22⋊C4×C67C2412yes—
881C22⋊C4×C67C2412yes—
882C22⋊C4×C67C2412yes—
883C22⋊C4×C67C2414yes—
884C22⋊C4×C67C2414yes—
885C22⋊C4×C67C2414yes—
886C22⋊C4×C67C2414yes—
887C22⋊C4×C67C2414yes—
888C22⋊C4×C67C2414yes—
889C22⋊C4×C67C2414yes—
890C22⋊C4×C67C2414yes—
891C22⋊C4×C67C2414yes—
892C42×C67C2412yes—
893C42×C67C2412yes—
894C42×C67C2414yes—
895C42×C67C2411yescharacteristic
896C42×C67C2411yescharacteristic
897C42×C67C2411yescharacteristic
898C42×C67C2411yescharacteristic
899C42×C67C2414yes—
900C42×C67C2414yes—
901C23×C67—22no—
902C23×C67—42no—
903C23×C67C2511yescharacteristic
904C23×C67C2511yescharacteristic
905C23×C67C2514yes—
906C23×C67C2511yescharacteristic
907C22×D67C2514yes—
908Q8×C67—24no—
909Q8×C67—44no—
910D4×C67—28no—
911D4×C67—24no—
912D4×C67—44no—
913D4×C67—44no—
914D4×C67—44no—
915C2×C4×C67—22no—
916C2×C4×C67—22no—
917C2×C4×C67—22no—
918C2×C4×C67—22no—
919C2×C4×C67—22no—
920C2×C4×C67—28no—
921C2×C4×C67—44no—
922C2×C4×C67—42no—
923C2×C4×C67—42no—
924C2×C4×C67—44no—
925C2×C4×C672−1+414yes—
926C2×C4×C67C2512yes—
927C2×C4×C67C2512yes—
928C2×C4×C67C2512yes—
929C2×C4×C67C2514yes—
930C2×C4×C67C2514yes—
931C2×C4×C67C2514yes—
932C2×C4×C67C2512yes—
933C2×C4×C67C2511yescharacteristic
934C2×C4×C67C2511yescharacteristic
935C2×C4×C67C2511yescharacteristic
936C2×C4×C67C2511yescharacteristic
937C22⋊D67—28no—
938C22⋊D67—28no—
939C22⋊D67—44no—
940C22⋊D67—44no—
941C22⋊D67—44no—
942C22⋊D67—44no—
943C22⋊D67—44no—
944C2×Dic67—24no—
945C2×Dic67—24no—
946C2×Dic67—24no—
947C2×Dic67—28no—
948C2×Dic67—42no—
949C2×Dic67—42no—
950C2×Dic67—42no—
951C2×Dic67—42no—
952C2×Dic67—44no—
953C2×Dic67—42no—
954C2×Dic67—44no—
955C2×Dic67—44no—
956C2×Dic67C2512yes—
957C2×Dic67C2514yes—
958C2×Dic67C2512yes—
959C2×Dic67C2512yes—
960C2×Dic67C2512yes—
961C2×Dic67C2514yes—
962C2×Dic67C2514yes—
963C2×Dic67C2512yes—
964C2×Dic67C2512yes—
965C2×Dic67C2512yes—
966C2×Dic67C2512yes—
967D268—24no—
968D268—44no—
969C4×D67—28no—
970C4×D67—28no—
971C4×D67—44no—
972C4×D67—44no—
973C4×D67—44no—
974C4×D67—44no—
975C4×D67—44no—
976Dic134—24no—
977Dic134—24no—
978Dic134—28no—
979Dic134—24no—
980Dic134—24no—
981Dic134—24no—
982Dic134—44no—
983Dic134—42no—
984Dic134—42no—
985Dic134—44no—
986Dic134—44no—
987Dic134—42no—
988Dic134—42no—
989Dic134—44no—
990C22×C67—22no—
991C22×C67—21no—
992C22×C67—21no—
993C22×C67—24no—
994C22×C67—24no—
995C22×C67—22no—
996C22×C67—22no—
997C22×C67—24no—
998C22×C67—44no—
999C22×C67C2×2−1+412yes—
1000C22×C67C2611yescharacteristic
1001C2×D67—24no—
1002C2×D67—24no—
1003C2×D67—24no—
1004C4×C67—21no—
1005C4×C67—21no—
1006C4×C67—24no—
1007C4×C67—22no—
1008C4×C67—22no—
1009C4×C67—24no—
1010C4×C67—22no—
1011C4×C67—22no—
1012C4×C67—24no—
1013C4×C67C2×2−1+412yes—
1014C4×C67C2×2−1+412yes—
1015Dic67—24no—
1016Dic67—22no—
1017Dic67—22no—
1018Dic67—24no—
1019Dic67—22no—
1020Dic67—22no—
1021Dic67—22no—
1022Dic67—24no—
1023Dic67—22no—
1024Dic67—22no—
1025Dic67#58514yes—
1026#62761—671nomaximal, Sylow
1027C2×C67—22no—
1028C2×C67—44no—
1029C2×C67—41no—
1030C2×C67—41no—
1031C2×C67C22×2−1+411yescharacteristic
1032C2×C67C2×#58512yes—
1033D67—44no—
1034#3557—672no—
1035#3557—671no—
1036#3557—671no—
1037#3556—671no—
1038#3555—672no—
1039#3555—672no—
1040#3554—672no—
1041#3554—672no—
1042#3553—674no—
1043#3552—674no—
1044#3550—672no—
1045#3548—671no—
1046#3541—674no—
1047#3541—674no—
1048#3531—674no—
1049#3482—674no—
1050#3480—672no—
1051#3480—672no—
1052Q8×#41—672no—
1053Q8×#41—672no—
1054#3461—674no—
1055#3461—674no—
1056#3455—672no—
1057#3455—671no—
1058#3455D6711yescharacteristic, complemented
1059#3444—672no—
1060C2×#533—671no—
1061C67#6276111yescharacteristic, complemented, Sylow
1062#564—674no—
1063#563—674no—
1064#563—674no—
1065#563—674no—
1066#563—674no—
1067#563—674no—
1068#563—674no—
1069#563—674no—
1070#563—674no—
1071#563—674no—
1072#563—674no—
1073#562—674no—
1074#562—674no—
1075#562—674no—
1076#562—674no—
1077#562—674no—
1078#559—672no—
1079#559—672no—
1080#559—672no—
1081#559—672no—
1082#559—672no—
1083#559—672no—
1084Q82—672no—
1085Q82—672no—
1086#557—672no—
1087#557—672no—
1088#557—672no—
1089#557—672no—
1090#557—674no—
1091#557—672no—
1092#557—672no—
1093#557—672no—
1094#557—672no—
1095#556—672no—
1096#556—674no—
1097#556—674no—
1098#556—674no—
1099#556—672no—
1100#556—672no—
1101#556—672no—
1102#556—672no—
1103#556—672no—
1104#554—672no—
1105#554—672no—
1106#554—672no—
1107#554—674no—
1108#554—674no—
1109#554—674no—
1110#554—674no—
1111#554—672no—
1112#554—674no—
1113#554—674no—
1114#554—672no—
1115#554—672no—
1116#553—674no—
1117#553—674no—
1118#553—674no—
1119#553—674no—
1120#553—674no—
1121#553—674no—
1122#552—674no—
1123#552—674no—
1124#552—674no—
1125#552—674no—
1126#552—674no—
1127#552—674no—
1128#550—672no—
1129#550—672no—
1130D4×Q8—672no—
1131D4×Q8—674no—
1132D4×Q8—674no—
1133D4×Q8—674no—
1134D4×Q8—672no—
1135#548—674no—
1136#548—674no—
1137#548—674no—
1138#548—674no—
1139#547—674no—
1140#547—674no—
1141#547—674no—
1142#544—674no—
1143#544—674no—
1144#542—674no—
1145#542—674no—
1146#542—674no—
1147#542—674no—
1148#542—674no—
1149#542—674no—
1150#542—674no—
1151#542—672no—
1152#542—672no—
1153#542—672no—
1154#542—672no—
1155#542—674no—
1156#542—672no—
1157#542—672no—
1158#542C2×D6712yes—
1159#542C2×D6712yes—
1160#541—674no—
1161#541—674no—
1162#541—674no—
1163#541—674no—
1164#541—674no—
1165#541—674no—
1166#541—674no—
1167#541—672no—
1168#541—672no—
1169#541—674no—
1170#541—671no—
1171#541—671no—
1172#541C2×D6711yescharacteristic
1173#541C2×D6711yescharacteristic
1174#540—672no—
1175#540—672no—
1176#540—671no—
1177#540—671no—
1178#540C2×D6711yescharacteristic
1179#540C2×D6711yescharacteristic
1180#539—674no—
1181#539—674no—
1182#539—674no—
1183#539—674no—
1184#539—674no—
1185#539—674no—
1186#539—674no—
1187#539—674no—
1188#539—674no—
1189#539—674no—
1190#539—674no—
1191#539C2×D6714yes—
1192#538—674no—
1193#538—674no—
1194#538—674no—
1195#538C2×D6714yes—
1196#537—674no—
1197#537—674no—
1198#536—674no—
1199#536—674no—
1200#536—674no—
1201#536—674no—
1202#533—672no—
1203#533—672no—
1204#533—674no—
1205#533—674no—
1206#533—674no—
1207#533—672no—
1208#533—672no—
1209#533—672no—
1210#533—672no—
1211#533—671no—
1212#533—671no—
1213#533—672no—
1214#533—672no—
1215#533—671no—
1216#533—671no—
1217#533—672no—
1218#533—672no—
1219#533—674no—
1220#533—674no—
1221#533—671no—
1222#533—674no—
1223#533C2×D6711yescharacteristic
1224#532—672no—
1225#532—672no—
1226#532—672no—
1227#532—672no—
1228#532—671no—
1229#532C2×D6711yescharacteristic
1230C2×C4⋊Q8—672no—
1231#529—674no—
1232#529—674no—
1233#529—672no—
1234#529—672no—
1235#529—672no—
1236#529—672no—
1237#529—674no—
1238#529—674no—
1239#529—674no—
1240#529—674no—
1241#529—674no—
1242#529—674no—
1243#529—674no—
1244#529—674no—
1245#529—674no—
1246#529—674no—
1247#529—674no—
1248#529—674no—
1249#529—674no—
1250#529—674no—
1251#529C2×D6714yes—
1252#529C2×D6714yes—
1253C2×#125—672no—
1254#525—672no—
1255#525—674no—
1256#525—674no—
1257#525C2×D6712yes—
1258C2×C22⋊Q8—672no—
1259C2×C22⋊Q8—672no—
1260C4×#41—672no—
1261C4×#41—672no—
1262C4×#41—674no—
1263C4×#41—674no—
1264C4×#41—674no—
1265C4×#41—672no—
1266C4×#41—672no—
1267C4×#41—672no—
1268C4×#41—674no—
1269C4×#41C2×D6712yes—
1270C2×C4×Q8—674no—
1271C2×C4×Q8—672no—
1272C2×C4×Q8—672no—
1273C2×C4×Q8—674no—
1274C2×#117—671no—
1275C2×#117C2×D6711yescharacteristic
1276C22×C42—671no—
1277C2×#41—674no—
1278C2×#41—674no—
1279C2×#41—674no—
1280C2×#41—674no—
1281C2×#41—672no—
1282C2×#41C22×D6712yes—
1283C22×Q8—674no—
1284C22×Q8—672no—
1285C22×Q8—672no—
1286C22×Q8—674no—
1287C23×C4—672no—
1288C23×C4C22×D6711yescharacteristic
1289C4⋊Q8—672no—
1290C4⋊Q8—672no—
1291C4⋊Q8—674no—
1292C4⋊Q8—674no—
1293C4⋊Q8—674no—
1294C4⋊Q8—672no—
1295C4⋊Q8—672no—
1296C4⋊Q8—672no—
1297C4⋊Q8—672no—
1298C4⋊Q8—672no—
1299C4⋊Q8—672no—
1300C4⋊Q8—672no—
1301C4⋊Q8—672no—
1302C4⋊Q8—672no—
1303C4⋊Q8—672no—
1304C4⋊Q8—674no—
1305C4⋊Q8—674no—
1306C4⋊Q8—674no—
1307C4⋊Q8—674no—
1308C4⋊Q8—672no—
1309C4⋊Q8—672no—
1310C4⋊Q8—674no—
1311C4⋊Q8—674no—
1312C4⋊Q8—674no—
1313C4⋊Q8—671no—
1314C4⋊Q8—674no—
1315C4⋊Q8—672no—
1316C4⋊Q8—674no—
1317C4⋊Q8C22×D6711yescharacteristic
1318C4⋊Q8C22×D6712yes—
1319#127—672no—
1320#127—672no—
1321#127—671no—
1322#127C22×D6711yescharacteristic
1323#126—674no—
1324#126—674no—
1325#126—674no—
1326#126—674no—
1327#126—674no—
1328#126—674no—
1329#126—674no—
1330#126—674no—
1331#126—674no—
1332#126—674no—
1333#126—674no—
1334#126—674no—
1335#126—674no—
1336#126—674no—
1337#126—674no—
1338#126—674no—
1339#126—674no—
1340#126—674no—
1341#126—674no—
1342#126—674no—
1343#126—674no—
1344#126—674no—
1345#126—674no—
1346#126—674no—
1347#126—674no—
1348#126—674no—
1349#126—674no—
1350#126—674no—
1351#126C22×D6714yes—
1352#126C22×D6714yes—
1353#126C22×D6714yes—
1354#126C22×D6714yes—
1355#125—672no—
1356#125—672no—
1357#125—672no—
1358#125—672no—
1359#125—672no—
1360#125—672no—
1361#125—672no—
1362#125—672no—
1363#125—674no—
1364#125—672no—
1365#125—672no—
1366#125—674no—
1367#125—674no—
1368#125—674no—
1369#125—674no—
1370#125—674no—
1371#125—674no—
1372#125—674no—
1373#125—674no—
1374#125—674no—
1375#125—674no—
1376#125—674no—
1377#125—674no—
1378#125—674no—
1379#125—674no—
1380#125—674no—
1381#125—674no—
1382#125—674no—
1383#125—674no—
1384#125—674no—
1385#125—674no—
1386#125—674no—
1387#125—674no—
1388#125—672no—
1389#125—672no—
1390#125—674no—
1391#125—674no—
1392#125—674no—
1393#125—671no—
1394#125—671no—
1395#125C22×D6714yes—
1396#125C22×D6714yes—
1397#125C22×D6711yescharacteristic
1398#125C22×D6711yescharacteristic
1399#124—672no—
1400#124—672no—
1401#124—672no—
1402#124—674no—
1403#124—674no—
1404#124—674no—
1405#124—672no—
1406#124—674no—
1407#124—674no—
1408#124—674no—
1409#124—674no—
1410#124—674no—
1411#124—674no—
1412#124—674no—
1413#124—674no—
1414#124—674no—
1415#124—674no—
1416#124—674no—
1417#124—672no—
1418#124C22×D6714yes—
1419#124C22×D6714yes—
1420#124C22×D6712yes—
1421#123—674no—
1422#123—674no—
1423#123—674no—
1424#123—674no—
1425#123—674no—
1426#123—674no—
1427#123—674no—
1428#123—674no—
1429#123—674no—
1430#123—674no—
1431#123—674no—
1432#123—674no—
1433#123—674no—
1434#123—674no—
1435#123—674no—
1436#123—674no—
1437#123—674no—
1438#123—674no—
1439#123—674no—
1440#123—674no—
1441#123—674no—
1442#123—674no—
1443#123—674no—
1444#123—674no—
1445#123—674no—
1446#123—674no—
1447#123—674no—
1448#123—674no—
1449#123—674no—
1450#123C22×D6714yes—
1451#123C22×D6714yes—
1452#123C22×D6714yes—
1453#123C22×D6714yes—
1454#123C22×D6714yes—
1455C22⋊Q8—674no—
1456C22⋊Q8—674no—
1457C22⋊Q8—674no—
1458C22⋊Q8—672no—
1459C22⋊Q8—672no—
1460C22⋊Q8—674no—
1461C22⋊Q8—674no—
1462C22⋊Q8—674no—
1463C22⋊Q8—674no—
1464C22⋊Q8—674no—
1465C22⋊Q8—674no—
1466C22⋊Q8—674no—
1467C22⋊Q8—674no—
1468C22⋊Q8—674no—
1469C22⋊Q8—674no—
1470C22⋊Q8—674no—
1471C22⋊Q8—674no—
1472C22⋊Q8—674no—
1473C22⋊Q8—674no—
1474C22⋊Q8—674no—
1475C22⋊Q8—674no—
1476C22⋊Q8—674no—
1477C22⋊Q8—674no—
1478C22⋊Q8—674no—
1479C22⋊Q8—674no—
1480C22⋊Q8—674no—
1481C22⋊Q8—674no—
1482C22⋊Q8—672no—
1483C22⋊Q8—672no—
1484C22⋊Q8—672no—
1485C22⋊Q8—672no—
1486C22⋊Q8—672no—
1487C22⋊Q8—672no—
1488C22⋊Q8—672no—
1489C22⋊Q8—672no—
1490C22⋊Q8—672no—
1491C22⋊Q8—672no—
1492C22⋊Q8—672no—
1493C22⋊Q8—672no—
1494C22⋊Q8—672no—
1495C22⋊Q8—672no—
1496C22⋊Q8—672no—
1497C22⋊Q8—672no—
1498C22⋊Q8—674no—
1499C22⋊Q8—674no—
1500C22⋊Q8—674no—
1501C22⋊Q8—674no—
1502C22⋊Q8—674no—
1503C22⋊Q8—674no—
1504C22⋊Q8—674no—
1505C22⋊Q8—674no—
1506C22⋊Q8—674no—
1507C22⋊Q8—674no—
1508C22⋊Q8—674no—
1509C22⋊Q8—674no—
1510C22⋊Q8—674no—
1511C22⋊Q8—674no—
1512C22⋊Q8—674no—
1513C22⋊Q8—674no—
1514C22⋊Q8—674no—
1515C22⋊Q8—674no—
1516C22⋊Q8C22×D6712yes—
1517C22⋊Q8C22×D6712yes—
1518C22⋊Q8C22×D6714yes—
1519C22⋊Q8C22×D6714yes—
1520C22⋊Q8C22×D6714yes—
1521#121—674no—
1522#121—674no—
1523#121—674no—
1524#121—674no—
1525#121—674no—
1526#121—674no—
1527#121—674no—
1528#121—674no—
1529#121—674no—
1530#121—674no—
1531#121—674no—
1532#121—674no—
1533#121—674no—
1534#121—672no—
1535#121—672no—
1536#121—674no—
1537#121—674no—
1538#121—674no—
1539#121—674no—
1540#121—674no—
1541#121—674no—
1542#121C22×D6712yes—
1543#121C22×D6712yes—
1544#121C22×D6714yes—
1545#121C22×D6714yes—
1546#121C22×D6714yes—
1547#120—674no—
1548#120C22×D6714yes—
1549C4×Q8—674no—
1550C4×Q8—672no—
1551C4×Q8—672no—
1552C4×Q8—672no—
1553C4×Q8—672no—
1554C4×Q8—674no—
1555C4×Q8—674no—
1556C4×Q8—674no—
1557C4×Q8—674no—
1558C4×Q8—674no—
1559C4×Q8—672no—
1560C4×Q8—672no—
1561C4×Q8—674no—
1562C4×Q8—672no—
1563C4×Q8—672no—
1564C4×Q8—672no—
1565C4×Q8—672no—
1566C4×Q8—674no—
1567C4×Q8—672no—
1568C4×Q8—672no—
1569C4×Q8—672no—
1570C4×Q8—672no—
1571C4×Q8—674no—
1572C4×Q8—674no—
1573C4×Q8—672no—
1574C4×Q8—672no—
1575C4×Q8—674no—
1576C4×Q8—672no—
1577C4×Q8—672no—
1578C4×Q8—672no—
1579C4×Q8—672no—
1580C4×Q8—672no—
1581C4×Q8—672no—
1582C4×Q8—672no—
1583C4×Q8—672no—
1584C4×Q8—674no—
1585C4×Q8—674no—
1586C4×Q8—674no—
1587C4×Q8—674no—
1588C4×Q8—674no—
1589C4×Q8—674no—
1590C4×Q8—672no—
1591C4×Q8—672no—
1592C4×Q8C22×D6714yes—
1593C4×Q8C22×D6712yes—
1594C4×Q8C22×D6712yes—
1595C4×D4—674no—
1596C4×D4—674no—
1597C4×D4—674no—
1598C4×D4—674no—
1599C4×D4—672no—
1600C4×D4—672no—
1601C4×D4—674no—
1602C4×D4—674no—
1603C4×D4—674no—
1604C4×D4—672no—
1605C4×D4—672no—
1606C4×D4—674no—
1607C4×D4—674no—
1608C4×D4—674no—
1609C4×D4—674no—
1610C4×D4—674no—
1611C4×D4—674no—
1612C4×D4—674no—
1613C4×D4—674no—
1614C4×D4—674no—
1615C4×D4—674no—
1616C4×D4—672no—
1617C4×D4—672no—
1618C4×D4—672no—
1619C4×D4—672no—
1620C4×D4—674no—
1621C4×D4—674no—
1622C4×D4—674no—
1623C4×D4—674no—
1624C4×D4—674no—
1625C4×D4—674no—
1626C4×D4—674no—
1627C4×D4—674no—
1628C4×D4—674no—
1629C4×D4—674no—
1630C4×D4—674no—
1631C4×D4—674no—
1632C4×D4—672no—
1633C4×D4—672no—
1634C4×D4C22×D6714yes—
1635C4×D4C22×D6714yes—
1636C4×D4C22×D6714yes—
1637C4×D4C22×D6714yes—
1638C4×D4C22×D6714yes—
1639C4×D4C22×D6712yes—
1640C4×D4C22×D6712yes—
1641#117—671no—
1642#117—671no—
1643#117—672no—
1644#117—671no—
1645#117—672no—
1646#117—671no—
1647#117—672no—
1648#117—674no—
1649#117—674no—
1650#117—674no—
1651#117—674no—
1652#117—674no—
1653#117—674no—
1654#117—674no—
1655#117—674no—
1656#117—674no—
1657#117—674no—
1658#117—674no—
1659#117—674no—
1660#117—674no—
1661#117—674no—
1662#117—674no—
1663#117—674no—
1664#117—674no—
1665#117C22×D6712yes—
1666#117C22×D6712yes—
1667#117C22×D6711yescharacteristic
1668#117C22×D6711yescharacteristic
1669#117C22×D6711yescharacteristic
1670#117C22×D6711yescharacteristic
1671#117C22×D6712yes—
1672#117C22×D6714yes—
1673C2×C4⋊C4—672no—
1674C2×C4⋊C4—672no—
1675C2×C4⋊C4—672no—
1676C2×C4⋊C4—672no—
1677C2×C4⋊C4—672no—
1678C2×C4⋊C4—672no—
1679C2×C4⋊C4—672no—
1680C2×C4⋊C4—674no—
1681C2×C4⋊C4—674no—
1682C2×C4⋊C4—674no—
1683C2×C4⋊C4—674no—
1684C2×C4⋊C4—674no—
1685C2×C4⋊C4—674no—
1686C2×C4⋊C4C22×D6712yes—
1687C2×C22⋊C4—671no—
1688C2×C22⋊C4—671no—
1689C2×C22⋊C4C22×D6712yes—
1690C2×C42—672no—
1691C2×C42—672no—
1692C2×C42—674no—
1693C2×C42—674no—
1694C2×C42—671no—
1695C2×C42—672no—
1696C2×C42—671no—
1697C2×C42—671no—
1698C2×C42—671no—
1699C2×C42—671no—
1700C2×C42—672no—
1701C2×C42—671no—
1702C2×C42—674no—
1703C2×C42—674no—
1704C2×C42—674no—
1705C2×C42C22×D6711yescharacteristic
1706C2×C42C22×D6711yescharacteristic
1707C2×C42C22×D6714yes—
1708C24C23×D6711yescharacteristic
1709#41—28no—
1710#41—2688no—
1711#41—2688no—
1712#41—2688no—
1713#41—2688no—
1714#41—1348no—
1715C2×Q8—2684no—
1716C2×Q8—2684no—
1717C2×Q8—2688no—
1718C2×Q8—2688no—
1719C2×Q8—672no—
1720C2×Q8—672no—
1721C2×Q8—674no—
1722C2×Q8—674no—
1723C2×Q8—672no—
1724C2×Q8—672no—
1725C2×Q8—674no—
1726C2×Q8—674no—
1727C2×Q8—672no—
1728C2×Q8—672no—
1729C2×Q8—672no—
1730C2×Q8—674no—
1731C2×Q8—672no—
1732C2×Q8—672no—
1733C2×Q8C23×D6712yes—
1734C2×Q8C23×D6714yes—
1735C2×D4—674no—
1736C2×D4—674no—
1737C2×D4—674no—
1738C2×D4—674no—
1739C2×D4—674no—
1740C2×D4—674no—
1741C2×D4—674no—
1742C2×D4—674no—
1743C2×D4—672no—
1744C2×D4C23×D6714yes—
1745C2×D4C23×D6712yes—
1746C2×D4C23×D6714yes—
1747C2×D4C23×D6714yes—
1748C2×D4C23×D6714yes—
1749C22×C4—24no—
1750C22×C4—2684no—
1751C22×C4—672no—
1752C22×C4—672no—
1753C22×C4—672no—
1754C22×C4—672no—
1755C22×C4—672no—
1756C22×C4—674no—
1757C22×C4—674no—
1758C22×C4—674no—
1759C22×C4—674no—
1760C22×C4—674no—
1761C22×C4—674no—
1762C22×C4—674no—
1763C22×C4—674no—
1764C22×C4—672no—
1765C22×C4—672no—
1766C22×C4—672no—
1767C22×C4—674no—
1768C22×C4—674no—
1769C22×C4—674no—
1770C22×C4C23×D6711yescharacteristic
1771C22×C4C23×D6711yescharacteristic
1772C22×C4C23×D6711yescharacteristic
1773C22×C4C23×D6714yes—
1774C22×C4C23×D6711yescharacteristic
1775C22×C4C23×D6711yescharacteristic
1776C22×C4C23×D6712yes—
1777C22×C4C23×D6712yes—
1778C22×C4C23×D6714yes—
1779C22×C4C23×D6714yes—
1780C22×C4C23×D6711yescharacteristic
1781C4⋊C4—672no—
1782C4⋊C4—672no—
1783C4⋊C4—672no—
1784C4⋊C4—672no—
1785C4⋊C4—672no—
1786C4⋊C4—672no—
1787C4⋊C4—674no—
1788C4⋊C4—674no—
1789C4⋊C4—674no—
1790C4⋊C4—672no—
1791C4⋊C4—672no—
1792C4⋊C4—672no—
1793C4⋊C4—672no—
1794C4⋊C4—672no—
1795C4⋊C4—672no—
1796C4⋊C4—672no—
1797C4⋊C4—672no—
1798C4⋊C4—672no—
1799C4⋊C4—672no—
1800C4⋊C4—672no—
1801C4⋊C4—672no—
1802C4⋊C4—672no—
1803C4⋊C4—672no—
1804C4⋊C4—674no—
1805C4⋊C4—674no—
1806C4⋊C4—674no—
1807C4⋊C4—674no—
1808C4⋊C4—674no—
1809C4⋊C4—674no—
1810C4⋊C4—672no—
1811C4⋊C4—672no—
1812C4⋊C4—674no—
1813C4⋊C4—674no—
1814C4⋊C4—672no—
1815C4⋊C4—672no—
1816C4⋊C4—672no—
1817C4⋊C4—672no—
1818C4⋊C4—672no—
1819C4⋊C4—672no—
1820C4⋊C4—674no—
1821C4⋊C4—674no—
1822C4⋊C4—672no—
1823C4⋊C4—672no—
1824C4⋊C4—674no—
1825C4⋊C4—674no—
1826C4⋊C4—674no—
1827C4⋊C4—674no—
1828C4⋊C4—674no—
1829C4⋊C4—674no—
1830C4⋊C4—674no—
1831C4⋊C4—674no—
1832C4⋊C4—674no—
1833C4⋊C4—674no—
1834C4⋊C4—674no—
1835C4⋊C4—674no—
1836C4⋊C4—674no—
1837C4⋊C4—674no—
1838C4⋊C4—674no—
1839C4⋊C4—674no—
1840C4⋊C4—674no—
1841C4⋊C4—674no—
1842C4⋊C4—674no—
1843C4⋊C4C23×D6714yes—
1844C4⋊C4C23×D6714yes—
1845C4⋊C4C23×D6714yes—
1846C4⋊C4C23×D6712yes—
1847C4⋊C4C23×D6712yes—
1848C4⋊C4C23×D6712yes—
1849C4⋊C4C23×D6712yes—
1850C4⋊C4C23×D6714yes—
1851C4⋊C4C23×D6714yes—
1852C4⋊C4C23×D6714yes—
1853C4⋊C4C23×D6712yes—
1854C4⋊C4C23×D6712yes—
1855C4⋊C4C23×D6714yes—
1856C4⋊C4C23×D6714yes—
1857C22⋊C4—671no—
1858C22⋊C4—671no—
1859C22⋊C4—672no—
1860C22⋊C4—672no—
1861C22⋊C4—671no—
1862C22⋊C4—671no—
1863C22⋊C4—674no—
1864C22⋊C4—674no—
1865C22⋊C4—674no—
1866C22⋊C4—674no—
1867C22⋊C4—674no—
1868C22⋊C4—674no—
1869C22⋊C4—674no—
1870C22⋊C4—674no—
1871C22⋊C4—674no—
1872C22⋊C4—674no—
1873C22⋊C4—674no—
1874C22⋊C4—674no—
1875C22⋊C4—674no—
1876C22⋊C4—674no—
1877C22⋊C4—674no—
1878C22⋊C4—674no—
1879C22⋊C4—674no—
1880C22⋊C4—674no—
1881C22⋊C4—674no—
1882C22⋊C4—674no—
1883C22⋊C4—674no—
1884C22⋊C4—674no—
1885C22⋊C4—674no—
1886C22⋊C4—674no—
1887C22⋊C4—674no—
1888C22⋊C4C23×D6712yes—
1889C22⋊C4C23×D6712yes—
1890C22⋊C4C23×D6712yes—
1891C22⋊C4C23×D6712yes—
1892C22⋊C4C23×D6714yes—
1893C22⋊C4C23×D6714yes—
1894C22⋊C4C23×D6714yes—
1895C22⋊C4C23×D6714yes—
1896C22⋊C4C23×D6714yes—
1897C22⋊C4C23×D6714yes—
1898C22⋊C4C23×D6714yes—
1899C22⋊C4C23×D6714yes—
1900C22⋊C4C23×D6714yes—
1901C42—671no—
1902C42—672no—
1903C42—671no—
1904C42—672no—
1905C42—672no—
1906C42—672no—
1907C42—671no—
1908C42—671no—
1909C42—674no—
1910C42—674no—
1911C42—674no—
1912C42—674no—
1913C42—672no—
1914C42—672no—
1915C42—674no—
1916C42—674no—
1917C42—674no—
1918C42—674no—
1919C42—674no—
1920C42—674no—
1921C42—672no—
1922C42—672no—
1923C42—672no—
1924C42—672no—
1925C42—674no—
1926C42C23×D6714yes—
1927C42C23×D6711yescharacteristic
1928C42C23×D6711yescharacteristic
1929C42C23×D6711yescharacteristic
1930C42C23×D6711yescharacteristic
1931C42C23×D6714yes—
1932C42C23×D6712yes—
1933C42C23×D6714yes—
1934C42C23×D6712yes—
1935C23—22no—
1936C23—42no—
1937C23—674no—
1938C23C24×D6711yescharacteristic
1939C23C24×D6711yescharacteristic
1940C23C24×D6714yes—
1941C23C24×D6711yescharacteristic
1942Q8—24no—
1943Q8—44no—
1944Q8—2682no—
1945Q8—2682no—
1946Q8—2684no—
1947Q8—2682no—
1948Q8—2684no—
1949Q8—2682no—
1950Q8—2684no—
1951Q8—2684no—
1952Q8—1344no—
1953Q8—1344no—
1954Q8—1348no—
1955Q8—1344no—
1956Q8—1344no—
1957Q8—1344no—
1958D4—28no—
1959D4—24no—
1960D4—44no—
1961D4—44no—
1962D4—44no—
1963D4—2684no—
1964D4—2684no—
1965D4—2684no—
1966D4—2684no—
1967D4—2684no—
1968D4—2684no—
1969D4—1348no—
1970D4—1348no—
1971D4—1344no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—28no—
1978C2×C4—42no—
1979C2×C4—44no—
1980C2×C4—42no—
1981C2×C4—44no—
1982C2×C4—2684no—
1983C2×C4—2684no—
1984C2×C4—2684no—
1985C2×C4—2684no—
1986C2×C4—2684no—
1987C2×C4—2682no—
1988C2×C4—2682no—
1989C2×C4—2682no—
1990C2×C4—2682no—
1991C2×C4—2682no—
1992C2×C4—2684no—
1993C2×C4—2684no—
1994C2×C4—2684no—
1995C2×C4—672no—
1996C2×C4—672no—
1997C2×C4—674no—
1998C2×C4—672no—
1999C2×C4—672no—
2000C2×C4—672no—
2001C2×C4—674no—
2002C2×C4—674no—
2003C2×C4—672no—
2004C2×C4—672no—
2005C2×C4—672no—
2006C2×C4—1348no—
2007C2×C4—1344no—
2008C2×C4—1344no—
2009C2×C4—1344no—
2010C2×C4—1348no—
2011C2×C4—1348no—
2012C2×C4#1452409014yes—
2013C2×C4C24×D6714yes—
2014C2×C4C24×D6711yescharacteristic
2015C2×C4C24×D6711yescharacteristic
2016C2×C4C24×D6712yes—
2017C2×C4C24×D6714yes—
2018C2×C4C24×D6714yes—
2019C2×C4C24×D6712yes—
2020C2×C4C24×D6712yes—
2021C2×C4C24×D6712yes—
2022C2×C4C24×D6711yescharacteristic
2023C2×C4C24×D6711yescharacteristic
2024C22—22no—
2025C22—21no—
2026C22—21no—
2027C22—24no—
2028C22—24no—
2029C22—24no—
2030C22—22no—
2031C22—22no—
2032C22—44no—
2033C22—1344no—
2034C22—1344no—
2035C22—1344no—
2036C22C2×#1452409012yes—
2037C22C25×D6711yescharacteristic
2038C4—21no—
2039C4—21no—
2040C4—24no—
2041C4—22no—
2042C4—22no—
2043C4—22no—
2044C4—24no—
2045C4—22no—
2046C4—24no—
2047C4—674no—
2048C4—1344no—
2049C4—1342no—
2050C4—1342no—
2051C4—1342no—
2052C4—1344no—
2053C4—1342no—
2054C4—1342no—
2055C4—1342no—
2056C4—1344no—
2057C4—1342no—
2058C4C2×#1452409012yes—
2059C4C2×#1452409012yes—
2060C2—22no—
2061C2—41no—
2062C2—41no—
2063C2—44no—
2064C2—2684no—
2065C2C22×#1452409011yescharacteristic
2066C2#585×D6712yes—
subgroupG/H
centerC2×C4C24×D67
commutator, socle, cosocleC22×C67C26
FrattiniC22C25×D67
FittingC67×#3455C2
hypercenter#3455D67
hypocenterC67#62761
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C2×C4 ◁ #3455

Complements

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

NH ≅ G/Ntype
1. #22574717C2semidirect
2. #22574714C2semidirect
3. #22574708C2semidirect
4. #22574702C2semidirect
5. #22574695C2semidirect
6. #22574687C2semidirect
7. #22574678C2semidirect
8. #22574670C2semidirect
9. #22574659C2semidirect
10. #22574642C2semidirect
11. #22574617C2semidirect
12. #22574603C2semidirect
13. #22574497C2semidirect
14. #22574489C2semidirect
15. #22574354C2semidirect
16. #22573822C2semidirect
17. #22573806C2semidirect
18. #22573802C2semidirect
19. #41×Dic134C2semidirect
20. #22573787C2semidirect
21. #22573638C2semidirect
22. #22573634C2semidirect
23. #22573599C2semidirect
24. #22573597C2semidirect
25. #22573501C2semidirect
26. C2×#16863949C2semidirect
27. C67×#3455C2semidirect
28. C67⋊#564C22semidirect
29. #16864150C22semidirect
31. #16864149C22semidirect
34. #16864148C22semidirect
35. #16864148C22semidirect
36. #16864147C22semidirect
37. #16864147C22semidirect
40. #16864143C22semidirect
44. #16864132C22semidirect
45. #16864131C22semidirect
46. #16864129C22semidirect
47. #16864129C22semidirect
48. #16864128C22semidirect
49. #16864128C22semidirect
50. Q8×Dic134C22semidirect
51. #16864126C22semidirect
52. #16864125C22semidirect
53. #16864124C22semidirect
54. #16864123C22semidirect
55. #16864123C22semidirect
56. #16864123C22semidirect
57. #16864122C22semidirect
58. #16864122C22semidirect
59. #16864121C22semidirect
60. #16864121C22semidirect
61. #16864120C22semidirect
62. #16864118C22semidirect
63. #16864118C22semidirect
64. #16864116C22semidirect
66. #16864115C22semidirect
67. #16864115C22semidirect
69. #16864113C22semidirect
70. #16864107C22semidirect
73. #16864105C22semidirect
74. #16864105C22semidirect
77. #16864103C22semidirect
78. #16864102C22semidirect
79. #16864102C22semidirect
88. #16864088C22semidirect
89. #16864084C22semidirect
91. #16864083C22semidirect
93. #16864082C22semidirect
94. #16864067C22semidirect
95. #16864066C22semidirect
97. D4×Dic134C22semidirect
98. #16864061C22semidirect
100. #16864059C22semidirect
107. #16864044C22semidirect
108. #16864026C22semidirect
109. #16864025C22semidirect
116. #16864014C22semidirect
121. #16864012C22semidirect
124. #16864009C22semidirect
129. #16864006C22semidirect
130. #16864005C22semidirect
131. #16864005C22semidirect
134. #16864003C22semidirect
135. #16864003C22semidirect
140. #16863995C22semidirect
146. #16863990C22semidirect
148. #16863989C22semidirect
150. #16863987C22semidirect
156. #16863969C22semidirect
158. #16863968C22semidirect
161. #16863953C22semidirect
162. #16863950C22semidirect
163. #16863950C22semidirect
164. #16863950C22semidirect
177. #16863949C22semidirect
178. #16863949C22semidirect
189. #16863930C22semidirect
192. #16863928C22semidirect
199. #16863926C22semidirect
200. #16863926C22semidirect
203. #16863924C22semidirect
204. #16863924C22semidirect
216. C4×#11761628C22semidirect
221. C4×#11761627C22semidirect
224. C2×C4×Dic134C22semidirect
225. C4×Q8×D67C22semidirect
1058. #3455D67semidirect
1061. C67#62761semidirect

Maximal subgroups

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

subgroupindex
#225747172
#225747142
#225747082
#225747022
#225746952
#225746872
#225746782
#225746702
#225746592
#225746422
#225746172
#225746032
#225744972
#225744892
#225743542
#225738222
#225738062
#225738022
#41×Dic1342
#225737872
#225736382
#225736342
#225735992
#225735972
#225735012
C2×#168639492
C67×#34552
#6276167