Finite Group Databasebeta

← #27124506

Subgroups — #27124506

Order 12032.

7094 conjugacy classes of subgroups.

The subgroup lattice has 1746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257482C212yesmaximal, complemented
2#20257476C212yesmaximal, complemented
3#20257471C212yesmaximal, complemented
4#20257465C212yesmaximal, complemented
5#20257377C214yesmaximal, complemented
6#20257371C214yesmaximal, complemented
7#20257255C211yesmaximal, characteristic, complemented
8#20257250C211yesmaximal, characteristic, complemented
9#20257244C214yesmaximal, complemented
10#20257193C211yesmaximal, characteristic, complemented
11#20257154C211yesmaximal, characteristic, complemented
12#20257094C212yesmaximal, complemented
13#20257089C214yesmaximal, complemented
14#20257035C212yesmaximal, complemented
15#20257003C214yesmaximal, complemented
16#20257001C214yesmaximal, complemented
17#20256985C212yesmaximal, complemented
18#20256981C212yesmaximal, complemented
19#41×Dic94C212yesmaximal, complemented
20#20256966C212yesmaximal, complemented
21#20256817C214yesmaximal, complemented
22#20256815C212yesmaximal, complemented
23#20256684C211yesmaximal, characteristic, complemented
24#20256680C214yesmaximal, complemented
25C4×#13094071C212yesmaximal, complemented
26C22×C4×Dic94C211yesmaximal, characteristic, complemented
27C47×#3444C211yesmaximal, characteristic, complemented
28C2×#13094071C2212yes—
29C23×Dic94C2211yescharacteristic
30#15689859C2212yescomplemented
31#15689858C2212yescomplemented
32#15689856C2214yescomplemented
33#15689855C2214yescomplemented
34Q8×Dic94C2212yescomplemented
35#15689853C2212yescomplemented
36#15689852C2212yescomplemented
37#15689851C2214yescomplemented
38#15689851C2212yescomplemented
39#15689850C2214yescomplemented
40#15689850C2214yescomplemented
41#15689849C2214yescomplemented
42#15689848C2212yescomplemented
43#15689848C2212yescomplemented
44#15689847C2212yescomplemented
45#15689846C2214yescomplemented
46#15689845C2214yescomplemented
47#15689843C2212yescomplemented
48#15689842C2214yescomplemented
49#15689842C2214yescomplemented
50#15689841C2218yescomplemented
51#15689840C2218yescomplemented
52#15689834C2212yescomplemented
53#15689832C2218yes—
54#15689832C2214yescomplemented
55#15689831C2214yes—
56#15689830C2214yes—
57#15689830C2212yescomplemented
58#15689829C2214yescomplemented
59#15689827C2218yes—
60#15689825C2214yes—
61#15689822C2218yes—
62#15689819C2214yes—
63#15689816C2218yes—
64#15689815C2214yes—
65#15689813C2214yes—
66#15689813C2214yescomplemented
67#15689811C2214yescomplemented
68#15689810C2218yes—
69#15689809C2218yescomplemented
70#15689806C2218yes—
71#15689806C2218yescomplemented
72#15689794C2212yescomplemented
73#15689793C2212yescomplemented
74D4×Dic94C2214yes—
75D4×Dic94C2214yes—
76D4×Dic94C2212yescomplemented
77#15689788C2212yescomplemented
78#15689786C2214yes—
79#15689786C2214yes—
80#15689782C2214yes—
81#15689782C2214yes—
82#15689782C2214yescomplemented
83#15689781C2214yescomplemented
84#15689779C2214yes—
85#15689779C2214yes—
86#15689777C2214yes—
87#15689773C2214yes—
88#15689772C2218yes—
89#15689771C2218yes—
90#15689752C2214yes—
91#15689751C2212yes—
92#15689744C2214yescomplemented
93#15689739C2218yescomplemented
94#15689738C2214yescomplemented
95#15689737C2218yescomplemented
96#15689735C2214yescomplemented
97#15689732C2218yescomplemented
98#15689731C2214yescomplemented
99#15689730C2218yescomplemented
100#15689722C2214yes—
101#15689718C2214yes—
102#15689717C2218yes—
103#15689715C2218yes—
104#15689701C2212yes—
105#15689700C2214yes—
106#15689699C2212yes—
107#15689695C2218yes—
108#15689694C2212yes—
109#15689680C2211yescharacteristic
110#15689680C2211yescharacteristic
111#15689680C2211yescharacteristic
112#15689680C2214yescomplemented
113#15689677C2214yescomplemented
114#15689677C2218yescomplemented
115#15689676C2214yes—
116#15689676C2218yescomplemented
117#15689675C2214yes—
118#15689675C2214yes—
119#15689673C2211yescharacteristic
120#15689673C2211yescharacteristic
121#15689673C2211yescharacteristic
122#15689669C2214yes—
123#15689668C2214yes—
124#15689668C2214yes—
125#15689659C2214yes—
126#15689659C2214yes—
127#15689657C2212yes—
128#15689657C2212yes—
129#15689657C2212yes—
130#15689657C2212yes—
131#15689657C2212yes—
132#15689657C2212yes—
133#15689657C2214yescomplemented
134#15689655C2214yescomplemented
135#15689654C2214yes—
136#15689654C2214yes—
137#15689653C2218yes—
138#15689653C2218yes—
139#15689653C2218yescomplemented
140#15689651C2218yescomplemented
141#15689650C2218yes—
142#15689650C2218yes—
143#15689634C2212yes—
144#15689634C2212yes—
145#15689634C2212yes—
146#15689629C2218yes—
147#15689629C2218yes—
148#15689606C2212yes—
149#15689603C2212yes—
150#15689603C2214yescomplemented
151#15689602C2218yes—
152#15689602C2214yescomplemented
153#15689600C2212yes—
154#15689600C2214yescomplemented
155#15689599C2214yescomplemented
156#41×Dic47C2214yes—
157C4×#10625350C2212yes—
158C4×#10625350C2212yes—
159C4×#10625350C2212yes—
160C4×#10625350C2214yescomplemented
161#15689591C2214yes—
162C4×#10625352C2218yes—
163C4×#10625352C2218yes—
164C4×#10625352C2214yescomplemented
165C2×C4×Dic94C2211yescharacteristic
166C2×C4×Dic94C2212yes—
167C2×C4×Dic94C2211yescharacteristic
168C2×C4×Dic94C2212yes—
169C2×C4×Dic94C2212yes—
170C2×C4×Dic94C2211yescharacteristic
171C2×C4×Dic94C2212yes—
172C2×C4×Dic94C2212yes—
173C2×C4×Dic94C2212yes—
174C2×C4×Dic94C2212yes—
175C2×C4×Dic94C2212yes—
176C2×C4×Dic94C2211yescharacteristic
177C2×C4×Dic94C2212yes—
178C2×C4×Dic94C2212yes—
179C2×C4×Dic94C2214yescomplemented
180C4×Q8×D47C2214yescomplemented
181C22×C4⋊Dic47C2211yescharacteristic
182C22×Dic47⋊C4C2212yes—
183C22×C4×Dic47C2212yes—
184C47×#533C2211yescharacteristic
185C47×#533C2211yescharacteristic
186C47×#533C2211yescharacteristic
187C47×#532C2211yescharacteristic
188C47×#532C2211yescharacteristic
189C47×#532C2211yescharacteristic
190C47×#529C2212yes—
191C47×#529C2212yes—
192C47×#529C2212yes—
193C47×#529C2212yes—
194C47×#529C2212yes—
195C47×#529C2212yes—
196C47×#525C2212yes—
197C47×#525C2212yes—
198C47×#525C2212yes—
199C4×#41×C47C2212yes—
200C4×#41×C47C2212yes—
201C4×#41×C47C2212yes—
202C22×C42×C47C2211yescharacteristic
203#13094071—216no—
204C2×#10625350C2314yes—
205C2×#10625350C2312yes—
206C2×#10625350C2312yes—
207C2×#10625350C2312yes—
208C2×#10625352C2314yes—
209C2×#10625352C2318yes—
210C2×#10625352C2318yes—
211C22×Dic94—28no—
212C22×Dic94C2312yes—
213C22×Dic94C2312yes—
214C22×Dic94C2312yes—
215C22×Dic94C2312yes—
216C22×Dic94C2314yes—
217C22×Dic94C2311yescharacteristic
218C22×Dic94C2312yes—
219C22×Dic94C2311yescharacteristic
220C2×Q8×D47C2314yes—
221C23×Dic47C2312yes—
222C23×Dic47C2312yes—
223#13094024C2314yes—
224#13094024C2314yes—
225#13094024C2311yescharacteristic
226#13094024C2311yescharacteristic
227#13094024C2311yescharacteristic
228#13094023C2318yes—
229#13094023C2318yes—
230#13094023C2314yes—
231#13094023C2318yes—
232#13094023C2314yes—
233#13094023C2314yes—
234#13094022C2314yes—
235#13094022C2318yes—
236#13094022C2314yes—
237#13094021C2311yescharacteristic
238#13094020C2314yes—
239#13094019C2318yes—
240#13094019C2318yes—
241#13094019C2318yes—
242#13094019C2318yes—
243#13094018C2318yes—
244#13094018C2314yes—
245#13094018C2314yes—
246#13094017C2318yes—
247#13094017C2318yes—
248#13094017C2318yes—
249#13094017C2318yes—
250#13094017C2318yes—
251#13094016C2312yes—
252#13094016C2318yes—
253#13094016C2314yes—
254#13094016C2312yes—
255#13094016C2312yes—
256#13094015C2318yes—
257#13094015C2314yes—
258#13094015C2318yes—
259#13094015C2314yes—
260#13094015C2314yes—
261#13094014C2318yes—
262#13094014C2318yes—
263#13094014C2318yes—
264#13094014C2318yes—
265#13094014C2318yes—
266#13094014C2318yes—
267#13094014C2318yes—
268#13094013C2314yes—
269#13094012C2312yes—
270#13094012C2314yes—
271#13094012C2312yes—
272#13094012C2312yes—
273#13094011C2314yes—
274#13094011C2314yes—
275#13094010C2318yes—
276#13094010C2318yes—
277#13094010C2318yes—
278#13094010C2318yes—
279#13094009C2318yes—
280#13094008C2318yes—
281#13094008C2318yes—
282#13094008C2318yes—
283#13094007C2318yes—
284#13094007C2314yes—
285#13094007C2314yes—
286#13094007C2314yes—
287#13094006C2318yes—
288#13094006C2318yes—
289#13094005C2318yes—
290#13094005C2318yes—
291#13094005C2318yes—
292#13094004C2314yes—
293#13094004C2314yes—
294#13094004C2318yes—
295#13094003C2314yes—
296#13094003C2314yes—
297#13094003C2318yes—
298#13094003C2314yes—
299#13094003C2312yes—
300#13094003C2312yes—
301#13094003C2312yes—
302#13094003C2312yes—
303#13094003C2312yes—
304#13094003C2312yes—
305#13094002C2318yes—
306#13094002C2318yes—
307#13094002C2318yes—
308#13094002C2318yes—
309#13094001C2318yes—
310#13094001C2318yes—
311#13094001C2318yes—
312#13094001C2318yes—
313#13094001C2318yes—
314#13094001C2318yes—
315#13094001C2318yes—
316#13094001C2318yes—
317#13094001C2318yes—
318#13094000C2314yes—
319#13094000C2318yes—
320#13093998C2314yes—
321#13093998C2312yes—
322#13093998C2312yes—
323#13093998C2312yes—
324#13093998C2312yes—
325#13093998C2312yes—
326#13093998C2312yes—
327#13093997C2318yes—
328#13093996C2318yes—
329#13093996C2318yes—
330#13093996C2318yes—
331#13093996C2318yes—
332#13093996C2318yes—
333#13093995C2314yes—
334#13093993C2314yes—
335Q8×Dic47C2314yes—
336Q8×Dic47C2314yes—
337Q8×Dic47C2314yes—
338C4×Dic94C2314yes—
339C4×Dic94C2312yes—
340C4×Dic94C2314yes—
341C4×Dic94C2312yes—
342C4×Dic94C2312yes—
343C4×Dic94C2312yes—
344C4×Dic94C2314yes—
345C4×Dic94C2314yes—
346C4×Dic94C2312yes—
347C4×Dic94C2312yes—
348C4×Dic94C2312yes—
349C4×Dic94C2318yes—
350C4×Dic94C2314yes—
351C4×Dic94C2314yes—
352C4×Dic94C2312yes—
353C4×Dic94C2314yes—
354C4×Dic94C2312yes—
355C4×Dic94C2314yes—
356C4×Dic94C2312yes—
357C4×Dic94C2314yes—
358C4×Dic94C2312yes—
359C4×Dic94C2312yes—
360C4×Dic94C2318yes—
361C4×Dic94C2312yes—
362C4×Dic94C2312yes—
363C4×Dic94C2312yes—
364C4×Dic94C2312yes—
365C4×Dic94C2312yes—
366C4×Dic94C2314yes—
367C4×Dic94C2314yes—
368C4×Dic94C2312yes—
369C4×Dic94C2312yes—
370C4×Dic94C2312yes—
371C4×Dic94C2318yes—
372C4×Dic94C2312yes—
373C4×Dic94C2312yes—
374#13093989C2318yes—
375#13093989C2314yes—
376#13093989C2314yes—
377#13093989C2318yes—
378#13093989C2318yes—
379#13093989C2314yes—
380#13093989C2314yes—
381C4×D188C2312yes—
382C4×D188C2314yes—
383C4×D188C2312yes—
384C4×D188C2312yes—
385C4×D188C2312yes—
386C4×D188C2312yes—
387C4×D188C2312yes—
388D4×Dic47C2318yes—
389D4×Dic47C2314yes—
390D4×Dic47C2318yes—
391D4×Dic47C2314yes—
392D4×Dic47C2318yes—
393D4×Dic47C2314yes—
394D4×Dic47C2318yes—
395#13093986C2314yes—
396#13093986C2314yes—
397C4×C22⋊D47C2318yes—
398C4×C22⋊D47C2314yes—
399C4×C22⋊D47C2314yes—
400C4×C22⋊D47C2314yes—
401C4×C22⋊D47C2314yes—
402C4×C22⋊D47C2314yes—
403C4×C22⋊D47C2318yes—
404C4×C22⋊D47C2318yes—
405C4×C22⋊D47C2314yes—
406(C22⋊D47)⋊C4C2318yes—
407(C22⋊D47)⋊C4C2318yes—
408(C22⋊D47)⋊C4C2318yes—
409(C22⋊D47)⋊C4C2318yes—
410(C22⋊D47)⋊C4C2318yes—
411(C22⋊D47)⋊C4C2318yes—
412(C22⋊D47)⋊C4C2318yes—
413#13093983C2312yes—
414#13093983C2312yes—
415#13093983C2314yes—
416#13093983C2312yes—
417#13093983C2318yes—
418#13093982C2318yes—
419#13093982C2318yes—
420#13093982C2314yes—
421#13093981C2314yes—
422#13093981C2318yes—
423#13093981C2314yes—
424#13093981C2318yes—
425#13093981C2314yes—
426#13093980C2318yes—
427#13093980C2318yes—
428#13093980C2318yes—
429#13093980C2318yes—
430#13093980C2318yes—
431C2×C4⋊Dic47C2311yescharacteristic
432C2×C4⋊Dic47C2312yes—
433C2×C4⋊Dic47C2312yes—
434C2×C4⋊Dic47C2314yes—
435C2×C4⋊Dic47C2312yes—
436C2×C4⋊Dic47C2312yes—
437C2×C4⋊Dic47C2311yescharacteristic
438C2×C4⋊Dic47C2312yes—
439C2×Dic47⋊C4C2312yes—
440C2×Dic47⋊C4C2314yes—
441C2×Dic47⋊C4C2314yes—
442C2×Dic47⋊C4C2318yes—
443C2×Dic47⋊C4C2314yes—
444C2×Dic47⋊C4C2314yes—
445C2×Dic47⋊C4C2312yes—
446C2×Dic47⋊C4C2312yes—
447C2×Dic47⋊C4C2312yes—
448C4⋊C4×D47C2318yes—
449C4⋊C4×D47C2314yes—
450C2×C4×Dic47C2312yes—
451C2×C4×Dic47C2314yes—
452C2×C4×Dic47C2314yes—
453C2×C4×Dic47C2314yes—
454C2×C4×Dic47C2312yes—
455C2×C4×Dic47C2312yes—
456C2×C4×Dic47C2314yes—
457C2×C4×Dic47C2312yes—
458C2×C4×Dic47C2318yes—
459C42×D47C2318yes—
460C42×D47C2314yes—
461C2×#41×C47C2312yes—
462C2×#41×C47C2312yes—
463C2×#41×C47C2312yes—
464C23×C4×C47C2311yescharacteristic
465C23×C4×C47C2311yescharacteristic
466C23×C4×C47C2311yescharacteristic
467C4⋊Q8×C47C2311yescharacteristic
468C4⋊Q8×C47C2311yescharacteristic
469C4⋊Q8×C47C2311yescharacteristic
470#127×C47C2311yescharacteristic
471#126×C47C2314yes—
472#126×C47C2314yes—
473#125×C47C2312yes—
474#125×C47C2312yes—
475#125×C47C2312yes—
476#124×C47C2312yes—
477#124×C47C2312yes—
478#124×C47C2312yes—
479#123×C47C2314yes—
480#123×C47C2314yes—
481#123×C47C2314yes—
482C22⋊Q8×C47C2312yes—
483C22⋊Q8×C47C2312yes—
484C22⋊Q8×C47C2312yes—
485C22⋊Q8×C47C2312yes—
486C22⋊Q8×C47C2312yes—
487C22⋊Q8×C47C2312yes—
488#121×C47C2312yes—
489#121×C47C2312yes—
490#121×C47C2312yes—
491#121×C47C2312yes—
492#121×C47C2312yes—
493#121×C47C2312yes—
494#120×C47C2314yes—
495C4×Q8×C47C2312yes—
496C4×Q8×C47C2312yes—
497C4×Q8×C47C2312yes—
498C4×Q8×C47C2312yes—
499C4×Q8×C47C2312yes—
500C4×Q8×C47C2312yes—
501C4×D4×C47C2312yes—
502C4×D4×C47C2314yes—
503C4×D4×C47C2314yes—
504C4×D4×C47C2312yes—
505C4×D4×C47C2312yes—
506C4×D4×C47C2314yes—
507C4×D4×C47C2314yes—
508C4×D4×C47C2314yes—
509C4×D4×C47C2314yes—
510C4×D4×C47C2312yes—
511C4×D4×C47C2312yes—
512C4×D4×C47C2312yes—
513#117×C47C2314yes—
514#117×C47C2312yes—
515#117×C47C2312yes—
516#117×C47C2312yes—
517#117×C47C2314yes—
518#117×C47C2314yes—
519C2×C42×C47C2311yescharacteristic
520C2×C42×C47C2311yescharacteristic
521C2×C42×C47C2311yescharacteristic
522C2×C42×C47C2311yescharacteristic
523C2×C42×C47C2311yescharacteristic
524C2×C42×C47C2311yescharacteristic
525C2×C42×C47C2311yescharacteristic
526C2×C42×C47C2311yescharacteristic
527C2×C42×C47C2311yescharacteristic
528C2×C42×C47C2311yescharacteristic
529C2×C42×C47C2311yescharacteristic
530C2×C42×C47C2311yescharacteristic
531C2×C42×C47C2314yes—
532C24×C47C2411yescharacteristic
533#41×C47—28no—
534#41×C47—28no—
535#41×C47—44no—
536C2×Q8×C47C2412yes—
537C2×Q8×C47C2412yes—
538C2×Q8×C47C2412yes—
539C2×D4×C47C2414yes—
540C2×D4×C47C2414yes—
541C2×D4×C47C2414yes—
542C2×D4×C47C2412yes—
543C2×D4×C47C2412yes—
544C2×D4×C47C2412yes—
545C22×C4×C47—24no—
546C22×C4×C47—24no—
547C22×C4×C47—42no—
548C22×C4×C47C2411yescharacteristic
549C22×C4×C47C2411yescharacteristic
550C22×C4×C47C2411yescharacteristic
551C22×C4×C47C2411yescharacteristic
552C22×C4×C47C2411yescharacteristic
553C22×C4×C47C2411yescharacteristic
554C22×C4×C47C2411yescharacteristic
555C22×C4×C47C2411yescharacteristic
556C22×C4×C47C2411yescharacteristic
557C22×C4×C47C2411yescharacteristic
558C22×C4×C47C2411yescharacteristic
559C22×C4×C47C2411yescharacteristic
560C22×C4×C47C2414yes—
561C22×C4×C47C2414yes—
562C22×C4×C47C2411yescharacteristic
563C22×C4×C47C2411yescharacteristic
564C22×C4×C47C2411yescharacteristic
565C22×C4×C47C2411yescharacteristic
566C22×C4×C47C2414yes—
567C22×C4×C47C2411yescharacteristic
568C22×C4×C47C2411yescharacteristic
569C2×C22⋊D47C2414yes—
570C2×C22⋊D47C2414yes—
571C2×C22⋊D47C2414yes—
572C2×C22⋊D47C2418yes—
573C2×C22⋊D47C2418yes—
574C22×Dic47—28no—
575C22×Dic47—44no—
576C22×Dic47C2414yes—
577C22×Dic47C2414yes—
578C22×Dic47C2414yes—
579C22×Dic47C2412yes—
580C22×Dic47C2418yes—
581C22×Dic47C2412yes—
582C22×Dic47C2414yes—
583C22×Dic47C2412yes—
584C22×Dic47C2418yes—
585C22×Dic47C2412yes—
586Q8×D47—216no—
587#10625352—232no—
588#10625352—216no—
589#10625352—416no—
590#10625350—28no—
591#10625350—28no—
592#10625350—216no—
593#10625350—44no—
594C2×D188C2412yes—
595C2×D188C2412yes—
596C2×D188C2412yes—
597C2×C4×D47C2414yes—
598C2×C4×D47C2418yes—
599C2×C4×D47C2414yes—
600C2×C4×D47C2414yes—
601C2×C4×D47C2418yes—
602C2×Dic94—24no—
603C2×Dic94—28no—
604C2×Dic94—28no—
605C2×Dic94—28no—
606C2×Dic94—28no—
607C2×Dic94—28no—
608C2×Dic94—216no—
609C2×Dic94#4118yescomplemented
610C2×Dic94C2412yes—
611C2×Dic94C2418yes—
612C2×Dic94C2414yes—
613C2×Dic94C2414yes—
614C2×Dic94C2412yes—
615C2×Dic94C2412yes—
616C2×Dic94C2412yes—
617C2×Dic94C2418yes—
618C2×Dic94C2412yes—
619C2×Dic94C2412yes—
620C2×Dic94C2412yes—
621C4⋊C4×C47C2412yes—
622C4⋊C4×C47C2412yes—
623C4⋊C4×C47C2412yes—
624C4⋊C4×C47C2412yes—
625C4⋊C4×C47C2412yes—
626C4⋊C4×C47C2412yes—
627C4⋊C4×C47C2414yes—
628C4⋊C4×C47C2414yes—
629C4⋊C4×C47C2414yes—
630C4⋊C4×C47C2414yes—
631C4⋊C4×C47C2414yes—
632C4⋊C4×C47C2414yes—
633C22⋊C4×C47C2414yes—
634C22⋊C4×C47C2414yes—
635C22⋊C4×C47C2414yes—
636C22⋊C4×C47C2414yes—
637C22⋊C4×C47C2414yes—
638C22⋊C4×C47C2414yes—
639C22⋊C4×C47C2414yes—
640C22⋊C4×C47C2414yes—
641C22⋊C4×C47C2414yes—
642C42×C47C2411yescharacteristic
643C42×C47C2411yescharacteristic
644C42×C47C2411yescharacteristic
645C42×C47C2411yescharacteristic
646C42×C47C2411yescharacteristic
647C42×C47C2411yescharacteristic
648C42×C47C2411yescharacteristic
649C42×C47C2411yescharacteristic
650C42×C47C2411yescharacteristic
651C42×C47C2411yescharacteristic
652C42×C47C2411yescharacteristic
653C42×C47C2411yescharacteristic
654C42×C47C2411yescharacteristic
655C42×C47C2411yescharacteristic
656C42×C47C2411yescharacteristic
657C42×C47C2411yescharacteristic
658C42×C47C2414yes—
659C42×C47C2414yes—
660C42×C47C2414yes—
661C22⋊Dic47C2414yes—
662C22⋊Dic47C2414yes—
663C22⋊Dic47C2418yes—
664C22⋊Dic47C2418yes—
665C22⋊Dic47C2414yes—
666C22⋊Dic47C2418yes—
667C22⋊Dic47C2418yes—
668(C2×D47)⋊C4C2414yes—
669(C2×D47)⋊C4C2418yes—
670(C2×D47)⋊C4C2414yes—
671(C2×D47)⋊C4C2414yes—
672(C2×D47)⋊C4C2418yes—
673(C2×D47)⋊C4C2418yes—
674(C2×D47)⋊C4C2414yes—
675(C2×D47)⋊C4C2414yes—
676(C2×D47)⋊C4C2414yes—
677(C2×D47)⋊C4C2418yes—
678C4⋊Dic47C2412yes—
679C4⋊Dic47C2418yes—
680C4⋊Dic47C2412yes—
681C4⋊Dic47C2412yes—
682C4⋊Dic47C2412yes—
683C4⋊Dic47C2414yes—
684C4⋊Dic47C2414yes—
685C4⋊Dic47C2412yes—
686C4⋊Dic47C2418yes—
687C4⋊Dic47C2412yes—
688C4⋊Dic47C2412yes—
689C4⋊Dic47C2412yes—
690C4⋊Dic47C2418yes—
691C4⋊Dic47C2418yes—
692C4⋊Dic47C2412yes—
693C4⋊Dic47C2412yes—
694Dic47⋊C4C2414yes—
695Dic47⋊C4C2418yes—
696Dic47⋊C4C2418yes—
697Dic47⋊C4C2414yes—
698Dic47⋊C4C2414yes—
699Dic47⋊C4C2414yes—
700Dic47⋊C4C2414yes—
701Dic47⋊C4C2414yes—
702Dic47⋊C4C2414yes—
703Dic47⋊C4C2414yes—
704Dic47⋊C4C2414yes—
705Dic47⋊C4C2418yes—
706Dic47⋊C4C2414yes—
707Dic47⋊C4C2414yes—
708Dic47⋊C4C2418yes—
709Dic47⋊C4C2418yes—
710Dic47⋊C4C2418yes—
711Dic47⋊C4C2418yes—
712Dic47⋊C4C2418yes—
713Dic47⋊C4C2414yes—
714Dic47⋊C4C2414yes—
715Dic47⋊C4C2414yes—
716C4×Dic47C2414yes—
717C4×Dic47C2414yes—
718C4×Dic47C2418yes—
719C4×Dic47C2414yes—
720C4×Dic47C2418yes—
721C4×Dic47C2414yes—
722C4×Dic47C2414yes—
723C4×Dic47C2414yes—
724C4×Dic47C2414yes—
725C4×Dic47C2414yes—
726C4×Dic47C2414yes—
727C4×Dic47C2414yes—
728C4×Dic47C2414yes—
729C4×Dic47C2418yes—
730C4×Dic47C2418yes—
731C23×C47—22no—
732C23×C47—22no—
733C23×C47—22no—
734C23×C47C2514yes—
735C23×C47C2511yescharacteristic
736C23×C47C2511yescharacteristic
737C23×C47C2511yescharacteristic
738C22×D47C2514yes—
739Q8×C47—24no—
740Q8×C47—24no—
741Q8×C47—42no—
742D4×C47—28no—
743D4×C47—28no—
744D4×C47—28no—
745D4×C47—24no—
746D4×C47—24no—
747D4×C47—42no—
748C2×C4×C47—22no—
749C2×C4×C47—22no—
750C2×C4×C47—22no—
751C2×C4×C47—22no—
752C2×C4×C47—22no—
753C2×C4×C47—22no—
754C2×C4×C47—22no—
755C2×C4×C47—22no—
756C2×C4×C47—28no—
757C2×C4×C47—22no—
758C2×C4×C47—22no—
759C2×C4×C47—22no—
760C2×C4×C47—22no—
761C2×C4×C47—28no—
762C2×C4×C47—41no—
763C2×C4×C47—41no—
764C2×C4×C47—41no—
765C2×C4×C47—41no—
766C2×C4×C47—44no—
767C2×C4×C47C2×#4114yes—
768C2×C4×C472−1+414yescomplemented
769C2×C4×C47C2511yescharacteristic
770C2×C4×C47C2511yescharacteristic
771C2×C4×C47C2511yescharacteristic
772C2×C4×C47C2514yes—
773C2×C4×C47C2514yes—
774C2×C4×C47C2514yes—
775C2×C4×C47C2511yescharacteristic
776C2×C4×C47C2511yescharacteristic
777C2×C4×C47C2511yescharacteristic
778C2×C4×C47C2511yescharacteristic
779C2×C4×C47C2511yescharacteristic
780C2×C4×C47C2511yescharacteristic
781C2×C4×C47C2511yescharacteristic
782C2×C4×C47C2511yescharacteristic
783C2×C4×C47C2511yescharacteristic
784C22⋊D47—28no—
785C22⋊D47—28no—
786C22⋊D47—28no—
787C22⋊D47—216no—
788C22⋊D47—48no—
789C2×Dic47—24no—
790C2×Dic47—28no—
791C2×Dic47—28no—
792C2×Dic47—28no—
793C2×Dic47—216no—
794C2×Dic47—48no—
795C2×Dic47—42no—
796C2×Dic47—44no—
797C2×Dic47—42no—
798C2×Dic47C2×#4118yes—
799C2×Dic47C2514yes—
800C2×Dic47C2514yes—
801C2×Dic47C2514yes—
802C2×Dic47C2514yes—
803C2×Dic47C2514yes—
804C2×Dic47C2514yes—
805C2×Dic47C2514yes—
806D188—24no—
807D188—24no—
808D188—42no—
809C4×D47—28no—
810C4×D47—28no—
811C4×D47—216no—
812C4×D47—44no—
813C4×D47—48no—
814Dic94—24no—
815Dic94—24no—
816Dic94—24no—
817Dic94—24no—
818Dic94—28no—
819Dic94—28no—
820Dic94—216no—
821Dic94—42no—
822Dic94—48no—
823Dic94C2×#4118yes—
824Dic94C2×#4118yes—
825#62788—471nomaximal, Sylow
826C22×C47—28no—
827C22×C47—21no—
828C22×C47—21no—
829C22×C47—21no—
830C22×C47—21no—
831C22×C47—21no—
832C22×C47—21no—
833C22×C47—24no—
834C22×C47—24no—
835C22×C47—24no—
836C22×C47C22×#4112yes—
837C22×C47C2×2−1+412yes—
838C22×C47#58512yes—
839C22×C47C2611yescharacteristic
840C2×D47—24no—
841C2×D47—24no—
842C2×D47—24no—
843C4×C47—21no—
844C4×C47—21no—
845C4×C47—24no—
846C4×C47—21no—
847C4×C47—21no—
848C4×C47—24no—
849C4×C47—24no—
850C4×C47—21no—
851C4×C47—21no—
852C4×C47—21no—
853C4×C47—21no—
854C4×C47C22×#4112yes—
855C4×C47C22×#4112yes—
856C4×C47C2×2−1+412yes—
857C4×C47C2×2−1+412yes—
858Dic47—24no—
859Dic47—24no—
860Dic47—24no—
861Dic47—24no—
862Dic47—24no—
863Dic47—24no—
864Dic47C22×#4118yes—
865#3523—472no—
866#3523—472no—
867#3522—472no—
868#3522—472no—
869#3516—474no—
870#3516—474no—
871#3507—471no—
872#3507—471no—
873#3507—474no—
874#3502—471no—
875#3497—471no—
876#3492—474no—
877#3492—472no—
878#3486—472no—
879#3482—474no—
880#3482—474no—
881#3480—472no—
882#3480—472no—
883Q8×#41—472no—
884Q8×#41—472no—
885#3461—474no—
886#3461—472no—
887#3444—471no—
888#3444—474no—
889#3444D4711yescharacteristic, complemented
890C4×2−1+4—472no—
891C22×C4×Q8—471no—
892C2×C47—22no—
893C2×C47—22no—
894C2×C47—22no—
895C2×C47—44no—
896C2×C47C23×#4111yescharacteristic
897C2×C47C22×2−1+411yescharacteristic
898C2×C47C2×#58511yescharacteristic
899D47—44no—
900C2×2−1+4—472no—
901C23×Q8—471no—
902#559—472no—
903#559—474no—
904#559—472no—
905#559—474no—
906Q82—472no—
907Q82—472no—
908#557—472no—
909#557—472no—
910#557—474no—
911#557—474no—
912#557—474no—
913#557—472no—
914#557—474no—
915#557—472no—
916#556—472no—
917#556—478no—
918#556—474no—
919#556—474no—
920#556—474no—
921#556—474no—
922#556—472no—
923#556—478no—
924#554—472no—
925#554—474no—
926#554—478no—
927#554—474no—
928#554—474no—
929#554—472no—
930#554—478no—
931#554—474no—
932#553—478no—
933#553—474no—
934#553—474no—
935#553—478no—
936#552—478no—
937#552—474no—
938#552—478no—
939#552—474no—
940#552—474no—
941#552—474no—
942#552—478no—
943#552—478no—
944#550—472no—
945#550—472no—
946D4×Q8—472no—
947D4×Q8—474no—
948D4×Q8—474no—
949D4×Q8—474no—
950D4×Q8—474no—
951D4×Q8—472no—
952#548—474no—
953#548—474no—
954#548—474no—
955#548—474no—
956#548—474no—
957#548—474no—
958#547—478no—
959#547—478no—
960#547—474no—
961#547—474no—
962#544—474no—
963#544—472no—
964#542—478no—
965#542—478no—
966#542—474no—
967#542—474no—
968#541—478no—
969#541—478no—
970#541—474no—
971#541—474no—
972#539—478no—
973#539—474no—
974#539—474no—
975#539—478no—
976#537—472no—
977#537—474no—
978#536—472no—
979#536—478no—
980#536—472no—
981#533—474no—
982#533—474no—
983#533—478no—
984#533—474no—
985#533—474no—
986#533—478no—
987#533—471no—
988#533—471no—
989#533—471no—
990#533—474no—
991#533C2×D4711yescharacteristic
992#533C2×D4711yescharacteristic
993#533C2×D4711yescharacteristic
994#532—474no—
995#532—474no—
996#532—474no—
997#532—471no—
998#532—471no—
999#532—471no—
1000#532C2×D4711yescharacteristic
1001#532C2×D4711yescharacteristic
1002#532C2×D4711yescharacteristic
1003#529—478no—
1004#529—478no—
1005#529—474no—
1006#529—474no—
1007#529—474no—
1008#529—474no—
1009#529—478no—
1010#529—478no—
1011#529—478no—
1012#529—474no—
1013#529—478no—
1014#529—472no—
1015#529—472no—
1016#529—472no—
1017#529—472no—
1018#529—472no—
1019#529—472no—
1020#529—474no—
1021#529C2×D4712yes—
1022#529C2×D4712yes—
1023#529C2×D4712yes—
1024#529C2×D4712yes—
1025#529C2×D4712yes—
1026#529C2×D4712yes—
1027#525—472no—
1028#525—472no—
1029#525—472no—
1030#525—478no—
1031#525—478no—
1032#525C2×D4712yes—
1033#525C2×D4712yes—
1034#525C2×D4712yes—
1035#520—472no—
1036#520—478no—
1037#520—474no—
1038#520—472no—
1039#520—474no—
1040#519—474no—
1041#519—472no—
1042#519—474no—
1043C4×#41—474no—
1044C4×#41—478no—
1045C4×#41—474no—
1046C4×#41—478no—
1047C4×#41—474no—
1048C4×#41—472no—
1049C4×#41—474no—
1050C4×#41—472no—
1051C4×#41—472no—
1052C4×#41C2×D4712yes—
1053C4×#41C2×D4712yes—
1054C4×#41C2×D4712yes—
1055C2×C4×Q8—474no—
1056C2×C4×Q8—471no—
1057C2×C4×Q8—472no—
1058C2×C4×Q8—471no—
1059C2×C4×Q8—472no—
1060C2×C4×Q8—472no—
1061C2×C4×Q8—472no—
1062C2×C4×Q8—472no—
1063C2×C4×Q8—471no—
1064C2×C4×Q8—471no—
1065C2×C4×Q8—472no—
1066C2×C4×Q8—472no—
1067C2×C4×Q8—472no—
1068C2×C4×Q8—472no—
1069C2×C4×Q8—472no—
1070C2×C4×Q8—474no—
1071C22×C4⋊C4—472no—
1072C22×C4⋊C4—471no—
1073C22×C42—472no—
1074C22×C42C2×D4711yescharacteristic
1075C47#6278811yescharacteristic, complemented, Sylow
10762−1+4—9416no—
1077C2×#41—478no—
1078C2×#41—474no—
1079C2×#41—478no—
1080C2×#41—472no—
1081C2×#41—472no—
1082C2×#41—474no—
1083C2×#41—472no—
1084C2×#41C22×D4712yes—
1085C2×#41C22×D4712yes—
1086C2×#41C22×D4712yes—
1087C22×Q8—474no—
1088C22×Q8—471no—
1089C22×Q8—472no—
1090C22×Q8—471no—
1091C22×Q8—472no—
1092C22×Q8—472no—
1093C22×Q8—472no—
1094C22×Q8—472no—
1095C22×Q8—474no—
1096C22×Q8—948no—
1097C23×C4—472no—
1098C23×C4—472no—
1099C23×C4C22×D4711yescharacteristic
1100C23×C4C22×D4711yescharacteristic
1101C23×C4C22×D4711yescharacteristic
1102C4⋊Q8—474no—
1103C4⋊Q8—474no—
1104C4⋊Q8—478no—
1105C4⋊Q8—474no—
1106C4⋊Q8—474no—
1107C4⋊Q8—478no—
1108C4⋊Q8—478no—
1109C4⋊Q8—478no—
1110C4⋊Q8—474no—
1111C4⋊Q8—471no—
1112C4⋊Q8—471no—
1113C4⋊Q8—471no—
1114C4⋊Q8—474no—
1115C4⋊Q8—474no—
1116C4⋊Q8C22×D4711yescharacteristic
1117C4⋊Q8C22×D4711yescharacteristic
1118C4⋊Q8C22×D4711yescharacteristic
1119#127—474no—
1120#127—471no—
1121#127C22×D4711yescharacteristic
1122#126—478no—
1123#126—478no—
1124#126—478no—
1125#126—478no—
1126#126—478no—
1127#126—478no—
1128#126—478no—
1129#126—478no—
1130#126—478no—
1131#126—474no—
1132#126—474no—
1133#126—478no—
1134#126C22×D4714yes—
1135#126C22×D4714yes—
1136#125—478no—
1137#125—478no—
1138#125—474no—
1139#125—474no—
1140#125—478no—
1141#125—478no—
1142#125—474no—
1143#125—478no—
1144#125—478no—
1145#125—478no—
1146#125—478no—
1147#125—478no—
1148#125—472no—
1149#125—472no—
1150#125—472no—
1151#125—474no—
1152#125—478no—
1153#125C22×D4712yes—
1154#125C22×D4712yes—
1155#125C22×D4712yes—
1156#124—474no—
1157#124—474no—
1158#124—474no—
1159#124—478no—
1160#124—478no—
1161#124—478no—
1162#124—478no—
1163#124—472no—
1164#124—472no—
1165#124—472no—
1166#124—474no—
1167#124C22×D4712yes—
1168#124C22×D4712yes—
1169#124C22×D4712yes—
1170#123—478no—
1171#123—478no—
1172#123—478no—
1173#123—474no—
1174#123—474no—
1175#123—474no—
1176#123—478no—
1177#123—478no—
1178#123—478no—
1179#123—478no—
1180#123—478no—
1181#123—478no—
1182#123—478no—
1183#123C22×D4714yes—
1184#123C22×D4714yes—
1185#123C22×D4714yes—
1186C22⋊Q8—474no—
1187C22⋊Q8—478no—
1188C22⋊Q8—472no—
1189C22⋊Q8—472no—
1190C22⋊Q8—472no—
1191C22⋊Q8—472no—
1192C22⋊Q8—472no—
1193C22⋊Q8—472no—
1194C22⋊Q8—474no—
1195C22⋊Q8—474no—
1196C22⋊Q8—474no—
1197C22⋊Q8—478no—
1198C22⋊Q8—478no—
1199C22⋊Q8—474no—
1200C22⋊Q8—478no—
1201C22⋊Q8—474no—
1202C22⋊Q8—478no—
1203C22⋊Q8—478no—
1204C22⋊Q8—478no—
1205C22⋊Q8—478no—
1206C22⋊Q8—478no—
1207C22⋊Q8—478no—
1208C22⋊Q8—478no—
1209C22⋊Q8—478no—
1210C22⋊Q8—478no—
1211C22⋊Q8—478no—
1212C22⋊Q8—478no—
1213C22⋊Q8—478no—
1214C22⋊Q8C22×D4712yes—
1215C22⋊Q8C22×D4712yes—
1216C22⋊Q8C22×D4712yes—
1217C22⋊Q8C22×D4712yes—
1218C22⋊Q8C22×D4712yes—
1219C22⋊Q8C22×D4712yes—
1220#121—478no—
1221#121—478no—
1222#121—478no—
1223#121—478no—
1224#121—474no—
1225#121—478no—
1226#121—472no—
1227#121—472no—
1228#121—472no—
1229#121—472no—
1230#121—472no—
1231#121—472no—
1232#121—474no—
1233#121—478no—
1234#121C22×D4712yes—
1235#121C22×D4712yes—
1236#121C22×D4712yes—
1237#121C22×D4712yes—
1238#121C22×D4712yes—
1239#121C22×D4712yes—
1240#120—474no—
1241#120C22×D4714yes—
1242C4×Q8—474no—
1243C4×Q8—474no—
1244C4×Q8—474no—
1245C4×Q8—474no—
1246C4×Q8—478no—
1247C4×Q8—478no—
1248C4×Q8—474no—
1249C4×Q8—474no—
1250C4×Q8—478no—
1251C4×Q8—474no—
1252C4×Q8—472no—
1253C4×Q8—472no—
1254C4×Q8—472no—
1255C4×Q8—472no—
1256C4×Q8—474no—
1257C4×Q8—474no—
1258C4×Q8—472no—
1259C4×Q8—472no—
1260C4×Q8—474no—
1261C4×Q8—474no—
1262C4×Q8—472no—
1263C4×Q8—472no—
1264C4×Q8—472no—
1265C4×Q8—472no—
1266C4×Q8—472no—
1267C4×Q8—472no—
1268C4×Q8—472no—
1269C4×Q8—472no—
1270C4×Q8—474no—
1271C4×Q8—474no—
1272C4×Q8—472no—
1273C4×Q8—472no—
1274C4×Q8—474no—
1275C4×Q8—474no—
1276C4×Q8—478no—
1277C4×Q8—472no—
1278C4×Q8—474no—
1279C4×Q8—474no—
1280C4×Q8—478no—
1281C4×Q8—472no—
1282C4×Q8—474no—
1283C4×Q8—478no—
1284C4×Q8—472no—
1285C4×Q8—472no—
1286C4×Q8—472no—
1287C4×Q8—472no—
1288C4×Q8C22×D4712yes—
1289C4×Q8C22×D4712yes—
1290C4×Q8C22×D4712yes—
1291C4×Q8C22×D4712yes—
1292C4×Q8C22×D4712yes—
1293C4×Q8C22×D4712yes—
1294C4×D4—478no—
1295C4×D4—474no—
1296C4×D4—478no—
1297C4×D4—478no—
1298C4×D4—478no—
1299C4×D4—474no—
1300C4×D4—474no—
1301C4×D4—474no—
1302C4×D4—474no—
1303C4×D4—478no—
1304C4×D4—474no—
1305C4×D4—478no—
1306C4×D4—474no—
1307C4×D4—474no—
1308C4×D4—474no—
1309C4×D4—478no—
1310C4×D4—474no—
1311C4×D4—474no—
1312C4×D4—478no—
1313C4×D4—478no—
1314C4×D4—478no—
1315C4×D4—478no—
1316C4×D4—478no—
1317C4×D4—478no—
1318C4×D4—478no—
1319C4×D4—472no—
1320C4×D4—472no—
1321C4×D4—474no—
1322C4×D4—472no—
1323C4×D4—472no—
1324C4×D4—472no—
1325C4×D4—472no—
1326C4×D4C22×D4714yes—
1327C4×D4C22×D4714yes—
1328C4×D4C22×D4712yes—
1329C4×D4C22×D4714yes—
1330C4×D4C22×D4712yes—
1331C4×D4C22×D4714yes—
1332C4×D4C22×D4714yes—
1333C4×D4C22×D4714yes—
1334C4×D4C22×D4712yes—
1335C4×D4C22×D4712yes—
1336C4×D4C22×D4712yes—
1337C4×D4C22×D4712yes—
1338#117—472no—
1339#117—472no—
1340#117—474no—
1341#117—472no—
1342#117—478no—
1343#117—478no—
1344#117—474no—
1345#117—478no—
1346#117—478no—
1347#117—478no—
1348#117—478no—
1349#117—478no—
1350#117—478no—
1351#117—474no—
1352#117—478no—
1353#117—478no—
1354#117—474no—
1355#117—474no—
1356#117C22×D4712yes—
1357#117C22×D4712yes—
1358#117C22×D4714yes—
1359#117C22×D4712yes—
1360#117C22×D4714yes—
1361#117C22×D4714yes—
1362C2×C4⋊C4—472no—
1363C2×C4⋊C4—471no—
1364C2×C4⋊C4—472no—
1365C2×C4⋊C4—471no—
1366C2×C4⋊C4—472no—
1367C2×C4⋊C4—472no—
1368C2×C4⋊C4—472no—
1369C2×C4⋊C4—474no—
1370C2×C4⋊C4—474no—
1371C2×C4⋊C4—472no—
1372C2×C4⋊C4—472no—
1373C2×C4⋊C4—474no—
1374C2×C4⋊C4—474no—
1375C2×C4⋊C4—472no—
1376C2×C4⋊C4—472no—
1377C2×C4⋊C4—478no—
1378C2×C4⋊C4—474no—
1379C2×C4⋊C4—478no—
1380C2×C4⋊C4—474no—
1381C2×C42—472no—
1382C2×C42—474no—
1383C2×C42—474no—
1384C2×C42—474no—
1385C2×C42—472no—
1386C2×C42—472no—
1387C2×C42—474no—
1388C2×C42—472no—
1389C2×C42—478no—
1390C2×C42—478no—
1391C2×C42—474no—
1392C2×C42C22×D4711yescharacteristic
1393C2×C42C22×D4711yescharacteristic
1394C2×C42C22×D4711yescharacteristic
1395C2×C42C22×D4711yescharacteristic
1396C2×C42C22×D4711yescharacteristic
1397C2×C42C22×D4711yescharacteristic
1398C2×C42C22×D4711yescharacteristic
1399C2×C42C22×D4711yescharacteristic
1400C2×C42C22×D4711yescharacteristic
1401C2×C42C22×D4711yescharacteristic
1402C2×C42C22×D4711yescharacteristic
1403C2×C42C22×D4711yescharacteristic
1404C2×C42C22×D4714yes—
1405C24C23×D4711yescharacteristic
1406#41—28no—
1407#41—28no—
1408#41—44no—
1409#41—9416no—
1410#41—9432no—
1411#41—9416no—
1412#41—948no—
1413#41—948no—
1414#41—1884no—
1415#41—18816no—
1416C2×Q8—478no—
1417C2×Q8—472no—
1418C2×Q8—472no—
1419C2×Q8—472no—
1420C2×Q8—474no—
1421C2×Q8—474no—
1422C2×Q8—472no—
1423C2×Q8—472no—
1424C2×Q8—478no—
1425C2×Q8—472no—
1426C2×Q8—472no—
1427C2×Q8—478no—
1428C2×Q8—948no—
1429C2×Q8—948no—
1430C2×Q8—948no—
1431C2×Q8—948no—
1432C2×Q8—948no—
1433C2×Q8—9416no—
1434C2×Q8—9416no—
1435C2×Q8—944no—
1436C2×Q8C23×D4712yes—
1437C2×Q8C23×D4712yes—
1438C2×Q8C23×D4712yes—
1439C2×D4—474no—
1440C2×D4—474no—
1441C2×D4—474no—
1442C2×D4—478no—
1443C2×D4—478no—
1444C2×D4—472no—
1445C2×D4—472no—
1446C2×D4—472no—
1447C2×D4C23×D4714yes—
1448C2×D4C23×D4712yes—
1449C2×D4C23×D4714yes—
1450C2×D4C23×D4714yes—
1451C2×D4C23×D4712yes—
1452C2×D4C23×D4712yes—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—42no—
1456C22×C4—472no—
1457C22×C4—474no—
1458C22×C4—474no—
1459C22×C4—474no—
1460C22×C4—472no—
1461C22×C4—478no—
1462C22×C4—472no—
1463C22×C4—474no—
1464C22×C4—472no—
1465C22×C4—478no—
1466C22×C4—478no—
1467C22×C4—474no—
1468C22×C4—474no—
1469C22×C4—478no—
1470C22×C4—474no—
1471C22×C4—948no—
1472C22×C4—1884no—
1473C22×C4C23×D4711yescharacteristic
1474C22×C4C23×D4711yescharacteristic
1475C22×C4C23×D4711yescharacteristic
1476C22×C4C23×D4711yescharacteristic
1477C22×C4C23×D4711yescharacteristic
1478C22×C4C23×D4711yescharacteristic
1479C22×C4C23×D4711yescharacteristic
1480C22×C4C23×D4711yescharacteristic
1481C22×C4C23×D4711yescharacteristic
1482C22×C4C23×D4711yescharacteristic
1483C22×C4C23×D4714yes—
1484C22×C4C23×D4711yescharacteristic
1485C22×C4C23×D4711yescharacteristic
1486C22×C4C23×D4714yes—
1487C22×C4C23×D4711yescharacteristic
1488C22×C4C23×D4711yescharacteristic
1489C22×C4C23×D4711yescharacteristic
1490C22×C4C23×D4711yescharacteristic
1491C22×C4C23×D4714yes—
1492C22×C4C23×D4711yescharacteristic
1493C22×C4C23×D4711yescharacteristic
1494C4⋊C4—474no—
1495C4⋊C4—474no—
1496C4⋊C4—474no—
1497C4⋊C4—474no—
1498C4⋊C4—474no—
1499C4⋊C4—474no—
1500C4⋊C4—474no—
1501C4⋊C4—474no—
1502C4⋊C4—478no—
1503C4⋊C4—478no—
1504C4⋊C4—474no—
1505C4⋊C4—478no—
1506C4⋊C4—474no—
1507C4⋊C4—474no—
1508C4⋊C4—478no—
1509C4⋊C4—478no—
1510C4⋊C4—478no—
1511C4⋊C4—474no—
1512C4⋊C4—478no—
1513C4⋊C4—474no—
1514C4⋊C4—474no—
1515C4⋊C4—478no—
1516C4⋊C4—472no—
1517C4⋊C4—472no—
1518C4⋊C4—472no—
1519C4⋊C4—472no—
1520C4⋊C4—474no—
1521C4⋊C4—474no—
1522C4⋊C4—472no—
1523C4⋊C4—478no—
1524C4⋊C4—472no—
1525C4⋊C4—472no—
1526C4⋊C4—472no—
1527C4⋊C4—472no—
1528C4⋊C4—472no—
1529C4⋊C4—478no—
1530C4⋊C4—478no—
1531C4⋊C4—478no—
1532C4⋊C4C23×D4712yes—
1533C4⋊C4C23×D4714yes—
1534C4⋊C4C23×D4712yes—
1535C4⋊C4C23×D4714yes—
1536C4⋊C4C23×D4714yes—
1537C4⋊C4C23×D4712yes—
1538C4⋊C4C23×D4712yes—
1539C4⋊C4C23×D4712yes—
1540C4⋊C4C23×D4712yes—
1541C4⋊C4C23×D4714yes—
1542C4⋊C4C23×D4714yes—
1543C4⋊C4C23×D4714yes—
1544C22⋊C4—474no—
1545C22⋊C4—474no—
1546C22⋊C4—478no—
1547C22⋊C4—474no—
1548C22⋊C4—478no—
1549C22⋊C4—478no—
1550C22⋊C4—478no—
1551C22⋊C4—478no—
1552C22⋊C4—474no—
1553C22⋊C4—474no—
1554C22⋊C4—474no—
1555C22⋊C4—474no—
1556C22⋊C4—478no—
1557C22⋊C4—478no—
1558C22⋊C4—474no—
1559C22⋊C4—474no—
1560C22⋊C4—478no—
1561C22⋊C4C23×D4714yes—
1562C22⋊C4C23×D4714yes—
1563C22⋊C4C23×D4714yes—
1564C22⋊C4C23×D4714yes—
1565C22⋊C4C23×D4714yes—
1566C22⋊C4C23×D4714yes—
1567C22⋊C4C23×D4714yes—
1568C22⋊C4C23×D4714yes—
1569C22⋊C4C23×D4714yes—
1570C42—474no—
1571C42—474no—
1572C42—474no—
1573C42—474no—
1574C42—474no—
1575C42—474no—
1576C42—478no—
1577C42—478no—
1578C42—474no—
1579C42—478no—
1580C42—478no—
1581C42—474no—
1582C42—474no—
1583C42—474no—
1584C42—474no—
1585C42C23×D4711yescharacteristic
1586C42C23×D4711yescharacteristic
1587C42C23×D4711yescharacteristic
1588C42C23×D4711yescharacteristic
1589C42C23×D4711yescharacteristic
1590C42C23×D4711yescharacteristic
1591C42C23×D4711yescharacteristic
1592C42C23×D4711yescharacteristic
1593C42C23×D4711yescharacteristic
1594C42C23×D4711yescharacteristic
1595C42C23×D4711yescharacteristic
1596C42C23×D4711yescharacteristic
1597C42C23×D4714yes—
1598C42C23×D4714yes—
1599C42C23×D4711yescharacteristic
1600C42C23×D4714yes—
1601C42C23×D4711yescharacteristic
1602C42C23×D4711yescharacteristic
1603C42C23×D4711yescharacteristic
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—474no—
1608C23C24×D4714yes—
1609C23C24×D4711yescharacteristic
1610C23C24×D4711yescharacteristic
1611C23C24×D4711yescharacteristic
1612Q8—24no—
1613Q8—24no—
1614Q8—42no—
1615Q8—478no—
1616Q8—478no—
1617Q8—948no—
1618Q8—948no—
1619Q8—9416no—
1620Q8—944no—
1621Q8—944no—
1622Q8—944no—
1623Q8—944no—
1624Q8—1882no—
1625Q8—1888no—
1626D4—28no—
1627D4—28no—
1628D4—28no—
1629D4—24no—
1630D4—24no—
1631D4—42no—
1632D4—9416no—
1633D4—948no—
1634D4—948no—
1635D4—948no—
1636D4—944no—
1637D4—944no—
1638D4—1882no—
1639D4—1888no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—28no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—28no—
1654C2×C4—41no—
1655C2×C4—41no—
1656C2×C4—41no—
1657C2×C4—41no—
1658C2×C4—44no—
1659C2×C4—478no—
1660C2×C4—474no—
1661C2×C4—474no—
1662C2×C4—474no—
1663C2×C4—474no—
1664C2×C4—474no—
1665C2×C4—474no—
1666C2×C4—474no—
1667C2×C4—9416no—
1668C2×C4—948no—
1669C2×C4—948no—
1670C2×C4—9416no—
1671C2×C4—944no—
1672C2×C4—948no—
1673C2×C4—948no—
1674C2×C4—948no—
1675C2×C4—1884no—
1676C2×C4—1888no—
1677C2×C4—1882no—
1678C2×C4—1884no—
1679C2×C4—1882no—
1680C2×C4—1888no—
1681C2×C4#41×D4714yes—
1682C2×C4#1309407114yescomplemented
1683C2×C4C24×D4711yescharacteristic
1684C2×C4C24×D4711yescharacteristic
1685C2×C4C24×D4711yescharacteristic
1686C2×C4C24×D4714yes—
1687C2×C4C24×D4714yes—
1688C2×C4C24×D4714yes—
1689C2×C4C24×D4711yescharacteristic
1690C2×C4C24×D4711yescharacteristic
1691C2×C4C24×D4711yescharacteristic
1692C2×C4C24×D4711yescharacteristic
1693C2×C4C24×D4711yescharacteristic
1694C2×C4C24×D4711yescharacteristic
1695C2×C4C24×D4711yescharacteristic
1696C2×C4C24×D4711yescharacteristic
1697C2×C4C24×D4711yescharacteristic
1698C22—28no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—21no—
1705C22—24no—
1706C22—24no—
1707C22—24no—
1708C22—944no—
1709C22—944no—
1710C22—944no—
1711C22C2×#41×D4712yes—
1712C22C2×#1309407112yes—
1713C22#1568995912yes—
1714C22C25×D4711yescharacteristic
1715C4—21no—
1716C4—21no—
1717C4—24no—
1718C4—21no—
1719C4—21no—
1720C4—24no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—24no—
1726C4—478no—
1727C4—944no—
1728C4—944no—
1729C4—944no—
1730C4—944no—
1731C4—944no—
1732C4—944no—
1733C4C2×#41×D4712yes—
1734C4C2×#41×D4712yes—
1735C4C2×#1309407112yes—
1736C4C2×#1309407112yes—
1737C2—22no—
1738C2—22no—
1739C2—22no—
1740C2—44no—
1741C2—1884no—
1742C2C22×#41×D4711yescharacteristic
1743C2C22×#1309407111yescharacteristic
1744C2C2×#1568995911yescharacteristic
subgroupG/H
centerC2×C4C24×D47
commutator, socle, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC47×#3444C2
hypercenter#3444D47
hypocenterC47#62788
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #20257482C2semidirect
2. #20257476C2semidirect
3. #20257471C2semidirect
4. #20257465C2semidirect
5. #20257377C2semidirect
6. #20257371C2semidirect
7. #20257255C2semidirect
8. #20257250C2semidirect
9. #20257244C2semidirect
10. #20257193C2semidirect
11. #20257154C2semidirect
12. #20257094C2semidirect
13. #20257089C2semidirect
14. #20257035C2semidirect
15. #20257003C2semidirect
16. #20257001C2semidirect
17. #20256985C2semidirect
18. #20256981C2semidirect
19. #41×Dic94C2semidirect
20. #20256966C2semidirect
21. #20256817C2semidirect
22. #20256815C2semidirect
23. #20256684C2semidirect
24. #20256680C2semidirect
25. C4×#13094071C2semidirect
26. C22×C4×Dic94C2semidirect
27. C47×#3444C2semidirect
30. #15689859C22semidirect
31. #15689858C22semidirect
32. #15689856C22semidirect
33. #15689855C22semidirect
34. Q8×Dic94C22semidirect
35. #15689853C22semidirect
36. #15689852C22semidirect
37. #15689851C22semidirect
38. #15689851C22semidirect
39. #15689850C22semidirect
40. #15689850C22semidirect
41. #15689849C22semidirect
42. #15689848C22semidirect
43. #15689848C22semidirect
44. #15689847C22semidirect
45. #15689846C22semidirect
46. #15689845C22semidirect
47. #15689843C22semidirect
48. #15689842C22semidirect
49. #15689842C22semidirect
50. #15689841C22semidirect
51. #15689840C22semidirect
52. #15689834C22semidirect
54. #15689832C22semidirect
57. #15689830C22semidirect
58. #15689829C22semidirect
66. #15689813C22semidirect
67. #15689811C22semidirect
69. #15689809C22semidirect
71. #15689806C22semidirect
72. #15689794C22semidirect
73. #15689793C22semidirect
76. D4×Dic94C22semidirect
77. #15689788C22semidirect
82. #15689782C22semidirect
83. #15689781C22semidirect
92. #15689744C22semidirect
93. #15689739C22semidirect
94. #15689738C22semidirect
95. #15689737C22semidirect
96. #15689735C22semidirect
97. #15689732C22semidirect
98. #15689731C22semidirect
99. #15689730C22semidirect
112. #15689680C22semidirect
113. #15689677C22semidirect
114. #15689677C22semidirect
116. #15689676C22semidirect
133. #15689657C22semidirect
134. #15689655C22semidirect
139. #15689653C22semidirect
140. #15689651C22semidirect
150. #15689603C22semidirect
152. #15689602C22semidirect
154. #15689600C22semidirect
155. #15689599C22semidirect
160. C4×#10625350C22semidirect
164. C4×#10625352C22semidirect
179. C2×C4×Dic94C22semidirect
180. C4×Q8×D47C22semidirect
609. C2×Dic94#41semidirect
768. C2×C4×C472−1+4semidirect
889. #3444D47semidirect
1075. C47#62788semidirect
1682. C2×C4#13094071semidirect

Maximal subgroups

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

subgroupindex
#202574822
#202574762
#202574712
#202574652
#202573772
#202573712
#202572552
#202572502
#202572442
#202571932
#202571542
#202570942
#202570892
#202570352
#202570032
#202570012
#202569852
#202569812
#41×Dic942
#202569662
#202568172
#202568152
#202566842
#202566802
C4×#130940712
C22×C4×Dic942
C47×#34442
#6278847