Finite Group Databasebeta

← #16808447

Subgroups — #16808447

Order 3328.

1838 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13131638C211yesmaximal, characteristic, complemented
2Q8×#6122C212yesmaximal, complemented
3#13131633C214yesmaximal, complemented
4#13131632C212yesmaximal, complemented
5#13131631C212yesmaximal, complemented
6#13131630C211yesmaximal, characteristic, complemented
7#13131629C212yesmaximal, complemented
8#13131627C214yesmaximal, complemented
9#13131625C211yesmaximal, characteristic, complemented
10#13131624C212yesmaximal, complemented
11D13⋊#446C211yesmaximal, characteristic, complemented
12C2×#11719158C212yesmaximal, complemented
13#13131483C212yesmaximal
14#13131481C211yesmaximal, characteristic
15#13131407C212yesmaximal
16C4×#88238C211yesmaximal, characteristic
17Q8×#6129C211yesmaximal, characteristic
18C2×#88238C2211yescharacteristic
19C2×#88238C2212yes—
20C2×#88238C2211yescharacteristic
21D4×Q8×C13C411yescharacteristic
22Q8×C22⋊D13C412yes—
23C2×Q8×Dic13C2212yes—
24#11719433C2211yescharacteristic
25#11719433C2212yes—
26#11719426C411yescharacteristic
27#11719426C412yes—
28#11719340C414yes—
29#11719340C412yes—
30#11719327C2212yes—
31#11719327C2214yes—
32C4×Q8×D13C2211yescharacteristic
33Q8×Dic26C411yescharacteristic
34#11719248C411yescharacteristic
35#11719248C412yes—
36C4×#6129C2211yescharacteristic
37C4×#6129C2212yes—
38#11719158C2211yescharacteristic
39#11719158C2212yes—
40#11719158C2214yes—
41#11719158C2212yes—
42#11719158C2214yes—
43#11719158C2212yes—
44#11719158C2211yescharacteristic
45#11719158C2214yes—
46#11719158C2214yes—
47Q8×#1057C2212yes—
48Q8×#1057C2212yes—
49#11719129C2212yes—
50#11719129C2214yes—
51C2×#88112C2214yes—
52C4×#6122C2212yes—
53C4×#6122C2214yes—
54C2×#88110C2214yes—
55C2×C4⋊#1057C2212yes—
56C2×C4×#1057C2212yes—
57#11719080C2211yescharacteristic
58#11719080C2211yescharacteristic
59#11719080C2212yes—
60#11719080C2214yes—
61#11719079C2212yes—
62#11719079C2212yes—
63#11719079C2212yes—
64#11719078C2212yes—
65#11719078C2212yes—
66#11719078C2214yes—
67#11719078C2214yes—
68#11719078C2214yes—
69#11719078C2214yes—
70#11719074C2212yes—
71#11719074C2214yes—
72#11719074C2212yes—
73#11719072C2212yes—
74#11719072C2211yescharacteristic
75#11719072C2212yes—
76#11719072C2211yescharacteristic
77#11719067C2214yes—
78#11719067C2214yes—
79#11719067C2214yes—
80#11719062C2214yes—
81#11719062C2212yes—
82#11719062C2214yes—
83#11719062C2212yes—
84#11719053C2212yes—
85#11719052C2211yescharacteristic
86D13⋊(C4⋊C8)C2211yescharacteristic
87D13⋊(C4⋊C8)C2212yes—
88C4×#6118C2211yescharacteristic
89C4×#6118C2212yes—
90#11719047C2212yes—
91C4×D13⋊C8C2211yescharacteristic
92C22×Q8×C13C2×C412yes—
93C2×Q8×D13C2×C411yescharacteristic
94C2×#6129C2311yescharacteristic
95C2×#6122C2312yes—
96C2×#6122C2314yes—
97C2×#6122C2312yes—
98C22×#1057C2312yes—
99C22×#1057C2314yes—
100C22×#1057C2312yes—
101#88238—24no—
102#88238—28no—
103#88238Q818yescomplemented
104C2×#6118C2312yes—
105C2×#6118C2311yescharacteristic
106C2×#6118C2311yescharacteristic
107C2×D13⋊C8C2311yescharacteristic
108C2×D13⋊C8C2312yes—
109C2×D13⋊C8C2311yescharacteristic
110C13×C4⋊Q8C2×C411yescharacteristic
111C13×C4⋊Q8C2×C412yes—
112C13×C22⋊Q8C2×C412yes—
113C13×C22⋊Q8C2×C414yes—
114C4×Q8×C13C2×C411yescharacteristic
115C4×D4×C13C2×C411yescharacteristic
116C4×D4×C13C2×C412yes—
117#88200C2×C412yes—
118#88200C2×C414yes—
119Q8×Dic13C2×C412yes—
120Q8×Dic13C2×C414yes—
121Q8×Dic13C2×C412yes—
122Q8×Dic13C2312yes—
123Q8×Dic13C2314yes—
124Q8×Dic13C2311yescharacteristic
125#88198C2×C412yes—
126#88198C2×C414yes—
127D4×Dic13C2×C411yescharacteristic
128D4×Dic13C2×C412yes—
129C4×C22⋊D13C2×C412yes—
130C4×C22⋊D13C2×C414yes—
131C2×C4⋊Dic13C2×C412yes—
132C2×C4⋊Dic13C2×C414yes—
133#88178C2×C412yes—
134#88178C2×C414yes—
135C2×C4×Dic13C2312yes—
136C2×C4×Dic13C2314yes—
137#88151C2×C412yes—
138#88151C2×C414yes—
139#88146C2312yes—
140#88146C2311yescharacteristic
141C4⋊C4×D13C2×C411yescharacteristic
142C4⋊C4×D13C2×C412yes—
143#88144C2×C412yes—
144#88144C2×C412yes—
145#88144C2×C412yes—
146#88143C2×C414yes—
147#88143C2×C414yes—
148#88143C2×C414yes—
149#88142C2×C412yes—
150#88142C2×C414yes—
151#88141C2×C411yescharacteristic
152#88141C2×C412yes—
153#88141C2312yes—
154#88141C2314yes—
155#88141C2311yescharacteristic
156#88141C2312yes—
157#88135C2×C412yes—
158#88135C2×C414yes—
159#88132C2×C414yes—
160#88132C2×C414yes—
161#88132C2×C414yes—
162#88131C2312yes—
163#88131C2314yes—
164C42×D13C2311yescharacteristic
165C42×D13C2312yes—
166#88123C2×C411yescharacteristic
167#88123C2×C412yes—
168C4×Dic26C2×C411yescharacteristic
169C4×Dic26C2×C412yes—
170C4×Dic26C2×C411yescharacteristic
171C4×Dic26C2×C412yes—
172#88112C2312yes—
173#88112C2312yes—
174#88112C2312yes—
175#88112C2314yes—
176#88112C2314yes—
177#88112C2314yes—
178#88112C2314yes—
179#88112C2314yes—
180#88110C2312yes—
181#88110C2312yes—
182#88110C2312yes—
183#88110C2312yes—
184#88110C2312yes—
185#88110C2314yes—
186#88110C2312yes—
187#88110C2314yes—
188#88110C2314yes—
189#88110C2312yes—
190C4⋊#1057C2312yes—
191C4⋊#1057C2312yes—
192C4⋊#1057C2311yescharacteristic
193C4⋊#1057C2311yescharacteristic
194C4⋊#1057C2312yes—
195C4⋊#1057C2312yes—
196C4⋊#1057C2314yes—
197C4⋊#1057C2314yes—
198C4⋊#1057C2314yes—
199C4×#1057C2311yescharacteristic
200C4×#1057C2311yescharacteristic
201C4×#1057C2311yescharacteristic
202C4×#1057C2311yescharacteristic
203C4×#1057C2314yes—
204C4×#1057C2312yes—
205C4×#1057C2312yes—
206C4×#1057C2314yes—
207C4×#1057C2314yes—
208C4×#1057C2312yes—
209#60195—131nomaximal, Sylow
210C2×Q8×C13—44no—
211C2×Q8×C13C22×C412yes—
212C2×Q8×C13C22×C411yescharacteristic
213C2×Q8×C13C22×C414yes—
214C2×D4×C13C22×C411yescharacteristic
215C22×C4×C13C22×C412yes—
216C22×C4×C13C22×C414yes—
217C2×C22⋊D13C22×C412yes—
218C22×Dic13C22×C412yes—
219C22×Dic13C22×C414yes—
220C22×Dic13C2412yes—
221Q8×D13—42no—
222#6129C2×Q814yes—
223#6129#4114yes—
224C2×C4×D13C22×C411yescharacteristic
225C2×C4×D13C22×C411yescharacteristic
226C2×C4×D13C22×C412yes—
227C2×C4×D13C22×C412yes—
228C2×C4×D13C2411yescharacteristic
229C2×Dic26C22×C411yescharacteristic
230C2×Dic26C22×C412yes—
231C2×Dic26C22×C412yes—
232C2×Dic26C22×C414yes—
233C2×Dic26C22×C411yescharacteristic
234#6122—24no—
235#6122—28no—
236#6122C2×Q818yescomplemented
237C2×#1057—24no—
238C2×#1057—28no—
239C2×#1057C2×Q818yescomplemented
240C2×#1057C2411yescharacteristic
241C2×#1057C2411yescharacteristic
242C2×#1057C2412yes—
243C2×#1057C2414yes—
244C2×#1057C2412yes—
245C2×#1057C2412yes—
246C2×#1057C2411yescharacteristic
247C2×#1057C2412yes—
248C2×#1057C2411yescharacteristic
249#6118—24no—
250#6118—22no—
251#6118C2×Q814yescomplemented
252D13⋊C8—22no—
253D13⋊C8—24no—
254D13⋊C8C2×Q814yescomplemented
255C13×C4⋊C4C22×C411yescharacteristic
256C13×C4⋊C4C22×C412yes—
257C13×C4⋊C4C22×C412yes—
258C13×C4⋊C4C22×C411yescharacteristic
259C13×C4⋊C4C22×C414yes—
260C13×C4⋊C4C22×C412yes—
261C13×C22⋊C4C22×C412yes—
262C13×C22⋊C4C22×C414yes—
263C42×C13C22×C412yes—
264C42×C13C22×C411yescharacteristic
265C22⋊Dic13C22×C414yes—
266C22⋊Dic13C22×C412yes—
267#6103C22×C412yes—
268#6103C22×C414yes—
269C4⋊Dic13C22×C411yescharacteristic
270C4⋊Dic13C22×C412yes—
271C4⋊Dic13C22×C412yes—
272C4⋊Dic13C22×C411yescharacteristic
273C4⋊Dic13C22×C414yes—
274C4⋊Dic13C22×C412yes—
275C4⋊Dic13C22×C414yes—
276C4⋊Dic13C22×C414yes—
277C4⋊Dic13C22×C414yes—
278#6101C22×C412yes—
279#6101C22×C414yes—
280#6101C22×C412yes—
281#6101C22×C412yes—
282#6101C22×C412yes—
283#6101C22×C414yes—
284#6101C22×C412yes—
285#6101C22×C414yes—
286#6101C22×C414yes—
287#6101C22×C414yes—
288C4×Dic13C22×C411yescharacteristic
289C4×Dic13C22×C412yes—
290C4×Dic13C22×C414yes—
291C4×Dic13C22×C412yes—
292C4×Dic13C22×C412yes—
293C4×Dic13C22×C414yes—
294C4×Dic13C2411yescharacteristic
295C4×Dic13C2411yescharacteristic
296C4×Dic13C2412yes—
297C4×Dic13C2412yes—
298C4×Dic13C2414yes—
299C4×Dic13C2412yes—
300Q8×#41—131no—
301Q8×M16—132no—
302Q8×M16—131no—
303#2962—131no—
304#2962—132no—
305#2962—132no—
306#2962—134no—
307#2961—134no—
308#2961—132no—
309#2960—132no—
310#2960—131no—
311C2×#446—132no—
312C2×#446—131no—
313#2906—131no—
314#2906—132no—
315#2875—132no—
316C4×#131—131no—
317C23×C13C23×C412yes—
318C22×D13C23×C411yescharacteristic
319Q8×C13—22no—
320Q8×C13—24no—
321Q8×C13—44no—
322D4×C13C4×Q814yes—
323C2×C4×C13—24no—
324C2×C4×C13—44no—
325C2×C4×C13C23×C412yes—
326C2×C4×C13C23×C412yes—
327C2×C4×C13C23×C414yes—
328C2×C4×C13C23×C411yescharacteristic
329C2×C4×C13C23×C412yes—
330C2×C4×C13C23×C411yescharacteristic
331C2×C4×C13C23×C411yescharacteristic
332C22⋊D13C4×Q818yes—
333C2×Dic13—42no—
334C2×Dic13—44no—
335C2×Dic13C23×C411yescharacteristic
336C2×Dic13C23×C412yes—
337C2×Dic13C23×C412yes—
338C2×Dic13C23×C411yescharacteristic
339C2×Dic13C23×C414yes—
340C2×Dic13C23×C412yes—
341C2×Dic13C23×C412yes—
342C2×Dic13C22×Q814yes—
343C2×Dic13C2×#4114yes—
344C2×Dic13C2511yescharacteristic
345C4×D13—22no—
346C4×D13—41no—
347C4×D13—42no—
348C4×D13—42no—
349C4×D13C22×Q812yes—
350C4×D13C2×#4112yes—
351Dic26—22no—
352Dic26—42no—
353Dic26—44no—
354Dic26—42no—
355Dic26C4×Q814yes—
356#1057—21no—
357#1057—22no—
358#1057—21no—
359#1057—22no—
360#1057—24no—
361#1057—22no—
362#1057C22×Q812yes—
363#1057C22×Q812yes—
364#1057C22×Q814yes—
365C2×#131—131no—
366C2×#131—131no—
367C2×#131—132no—
368Q82—131no—
369#557—131no—
370#557—132no—
371#554—132no—
372#554—134no—
373#554—131no—
374#554—132no—
375D4×Q8—132no—
376D4×Q8#26111yescharacteristic
377#533—131no—
378#533—132no—
379#533—132no—
380#533—134no—
381C4×#41—131no—
382C4×#41—132no—
383C2×C4×Q8—132no—
384C2×C4×Q8—131no—
385#446—131no—
386#446—131no—
387#446—132no—
388#446—132no—
389#446—134no—
390#446—132no—
391#446—131no—
392#446—132no—
393#446—134no—
394#446—132no—
395#446—131no—
396#446—134no—
397#446—132no—
398#446—134no—
399#446—134no—
400#446—134no—
401#446—134no—
402#446—134no—
403#446—134no—
404C8×Q8—134no—
405C8×Q8—132no—
406C8×Q8—132no—
407C8×Q8—132no—
408C8×Q8—132no—
409#424—134no—
410#424—132no—
411#424—134no—
412#424—134no—
413#424—132no—
414#424—132no—
415#423—131no—
416#423—132no—
417#423—132no—
418#423—134no—
419C2×C4⋊C8—131no—
420C2×C4⋊C8—132no—
421C2×C4⋊C8—132no—
422C2×C4⋊C8—134no—
423#405—132no—
424#405—131no—
425#405—132no—
426#405—131no—
427#405—134no—
428#405—132no—
429#405—134no—
430#405—132no—
431C4×M16—131no—
432C4×M16—132no—
433C4×M16—132no—
434C4×M16—134no—
435C2×#97—132no—
436C2×#97—134no—
437C2×C4×C8—131no—
438C2×C4×C8—132no—
439C22×C13—22no—
440C22×C13—22no—
441C22×C13C2×C4×Q814yes—
442C22×C13C24×C411yescharacteristic
443C2×D13—21no—
444C2×D13—21no—
445C2×D13C2×C4×Q812yes—
446C4×C13—22no—
447C4×C13—22no—
448C4×C13—24no—
449C4×C13—21no—
450C4×C13—22no—
451C4×C13C2×C4×Q812yes—
452C4×C13#56812yes—
453Dic13—22no—
454Dic13—21no—
455Dic13—22no—
456Dic13—24no—
457Dic13—21no—
458Dic13—22no—
459Dic13C2×C4×Q814yes—
460Dic13C23×Q811yescharacteristic
461Dic13C22×#4111yescharacteristic
462C2×#41—131no—
463C22×Q8—131no—
464C22×Q8C2×#26112yes—
465#131—138no—
466#131—264no—
467#131—268no—
468C2×M16—131no—
469C2×M16—132no—
470C2×M16—131no—
471C2×M16—132no—
472C2×M16—132no—
473C2×M16—134no—
474C22×C8—131no—
475C22×C8—132no—
476C22×C8—131no—
477C22×C8—132no—
478C22×C8—132no—
479C22×C8—134no—
480C4⋊Q8—132no—
481C4⋊Q8—134no—
482C4⋊Q8—132no—
483C4⋊Q8—134no—
484C4⋊Q8—131no—
485C4⋊Q8—132no—
486C4⋊Q8C2×#26111yescharacteristic
487C4⋊Q8C2×#26112yes—
488#125—134no—
489#125—134no—
490#125—134no—
491#125—132no—
492#125—132no—
493#125—132no—
494C22⋊Q8—132no—
495C22⋊Q8—134no—
496C22⋊Q8—132no—
497C22⋊Q8—134no—
498C22⋊Q8—132no—
499C22⋊Q8—134no—
500C22⋊Q8—134no—
501C22⋊Q8—134no—
502C22⋊Q8—134no—
503C22⋊Q8C2×#26112yes—
504C22⋊Q8C2×#26114yes—
505C4×Q8—131no—
506C4×Q8—132no—
507C4×Q8—134no—
508C4×Q8—132no—
509C4×Q8—132no—
510C4×Q8—134no—
511C4×Q8—131no—
512C4×Q8—132no—
513C4×Q8—131no—
514C4×Q8—132no—
515C4×Q8—132no—
516C4×Q8—134no—
517C4×Q8—131no—
518C4×Q8—132no—
519C4×Q8—131no—
520C4×Q8—132no—
521C4×Q8C2×#26111yescharacteristic
522C4×D4—131no—
523C4×D4—132no—
524C4×D4—132no—
525C4×D4—134no—
526C4×D4—132no—
527C4×D4—134no—
528C4×D4C2×#26111yescharacteristic
529C4×D4C2×#26112yes—
530#117—131no—
531#117—132no—
532#117—132no—
533#117—134no—
534C2×C4⋊C4—132no—
535C2×C4⋊C4—134no—
536C2×C4⋊C4—131no—
537C2×C4⋊C4—132no—
538C2×C42—132no—
539C2×C42—134no—
540C2×C42—131no—
541C2×C42—132no—
542C4⋊C8—131no—
543C4⋊C8—131no—
544C4⋊C8—132no—
545C4⋊C8—132no—
546C4⋊C8—132no—
547C4⋊C8—134no—
548C4⋊C8—132no—
549C4⋊C8—134no—
550C4⋊C8—134no—
551C4⋊C8—132no—
552C4⋊C8—132no—
553C4⋊C8—134no—
554C4⋊C8—134no—
555C4⋊C8—132no—
556C4⋊C8—134no—
557C4⋊C8—134no—
558C4⋊C8—134no—
559#97—132no—
560#97—132no—
561#97—134no—
562#97—132no—
563#97—134no—
564#97—132no—
565#97—134no—
566#97—132no—
567#97—132no—
568#97—132no—
569C4×C8—131no—
570C4×C8—131no—
571C4×C8—132no—
572C4×C8—131no—
573C4×C8—132no—
574C4×C8—131no—
575C4×C8—132no—
576C4×C8—134no—
577C4×C8—134no—
578C4×C8—134no—
579C2×C13—24no—
580C2×C13C22×C4×Q811yescharacteristic
581C2×C13C2×#56811yescharacteristic
582C2×C13#357311yescharacteristic
583D13—22no—
584#41—134no—
585#41—134no—
586C2×Q8—44no—
587C2×Q8—131no—
588C2×Q8—131no—
589C2×Q8—132no—
590C2×Q8—132no—
591C2×Q8—134no—
592C2×Q8—522no—
593C2×Q8C22×#26111yescharacteristic
594C2×Q8C22×#26112yes—
595C2×Q8C22×#26114yes—
596C2×D4—132no—
597C2×D4C22×#26111yescharacteristic
598C22×C4—132no—
599C22×C4—131no—
600C22×C4—132no—
601C22×C4—134no—
602C22×C4—131no—
603C22×C4—131no—
604C22×C4—132no—
605C22×C4—132no—
606C22×C4C22×#26112yes—
607C22×C4C22×#26114yes—
608M16—134no—
609M16—138no—
610M16—262no—
611M16—264no—
612M16—264no—
613M16—268no—
614C2×C8—131no—
615C2×C8—132no—
616C2×C8—131no—
617C2×C8—134no—
618C2×C8—138no—
619C2×C8—131no—
620C2×C8—131no—
621C2×C8—132no—
622C2×C8—132no—
623C2×C8—134no—
624C2×C8—132no—
625C2×C8—262no—
626C2×C8—264no—
627C2×C8—264no—
628C2×C8—268no—
629C4⋊C4—132no—
630C4⋊C4—131no—
631C4⋊C4—132no—
632C4⋊C4—132no—
633C4⋊C4—132no—
634C4⋊C4—134no—
635C4⋊C4—134no—
636C4⋊C4—134no—
637C4⋊C4—134no—
638C4⋊C4—132no—
639C4⋊C4—132no—
640C4⋊C4—134no—
641C4⋊C4—132no—
642C4⋊C4—134no—
643C4⋊C4—131no—
644C4⋊C4—132no—
645C4⋊C4—134no—
646C4⋊C4—134no—
647C4⋊C4—134no—
648C4⋊C4C22×#26112yes—
649C4⋊C4C22×#26111yescharacteristic
650C4⋊C4C22×#26111yescharacteristic
651C4⋊C4C22×#26112yes—
652C4⋊C4C22×#26114yes—
653C4⋊C4C22×#26112yes—
654C22⋊C4—132no—
655C22⋊C4—134no—
656C22⋊C4—132no—
657C22⋊C4—134no—
658C22⋊C4C22×#26112yes—
659C22⋊C4C22×#26114yes—
660C42—131no—
661C42—132no—
662C42—134no—
663C42—131no—
664C42—132no—
665C42—132no—
666C42—132no—
667C42—134no—
668C42—131no—
669C42—132no—
670C42—134no—
671C42—132no—
672C42C22×#26112yes—
673C42C22×#26111yescharacteristic
674C13#6019511yescharacteristic, complemented, Sylow
675C23—131no—
676C23C23×#26112yes—
677Q8—22no—
678Q8—24no—
679Q8—44no—
680Q8—134no—
681Q8—262no—
682Q8—522no—
683Q8—524no—
684Q8—522no—
685D4—138no—
686D4Q8×#26114yes—
687C2×C4—24no—
688C2×C4—44no—
689C2×C4—134no—
690C2×C4—134no—
691C2×C4—131no—
692C2×C4—132no—
693C2×C4—132no—
694C2×C4—132no—
695C2×C4—131no—
696C2×C4—132no—
697C2×C4—131no—
698C2×C4—132no—
699C2×C4—132no—
700C2×C4—134no—
701C2×C4—262no—
702C2×C4—521no—
703C2×C4—522no—
704C2×C4—522no—
705C2×C4—522no—
706C2×C4—524no—
707C2×C4C23×#26112yes—
708C2×C4C23×#26112yes—
709C2×C4C23×#26114yes—
710C2×C4C23×#26111yescharacteristic
711C2×C4C23×#26112yes—
712C2×C4C23×#26111yescharacteristic
713C2×C4C23×#26111yescharacteristic
714C8—132no—
715C8—132no—
716C8—134no—
717C8—261no—
718C8—262no—
719C8—261no—
720C8—262no—
721C8—262no—
722C8—264no—
723C22—22no—
724C22—22no—
725C22—132no—
726C22—261no—
727C22—261no—
728C22C2×Q8×#26114yes—
729C22C24×#26111yescharacteristic
730C4—22no—
731C4—22no—
732C4—24no—
733C4—21no—
734C4—22no—
735C4—134no—
736C4—131no—
737C4—131no—
738C4—261no—
739C4—262no—
740C4—261no—
741C4—262no—
742C4—262no—
743C4—264no—
744C4#1171962112yes—
745C4C2×Q8×#26112yes—
746C2—24no—
747C2—262no—
748C2C22×Q8×#26111yescharacteristic
749C2C2×#1171962111yescharacteristic
750C2#1313183211yescharacteristic
subgroupG/H
center, FrattiniC22C24×#261
commutator, socleC22×C13C24×C4
FittingD4×Q8×C13C4
prime radicalC2×#6129C23
cosocleC2×Dic13C25
hypercenterD4×Q8#261
hypocenterC13#60195
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C22 ◁ D4×Q8

Complements

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

NH ≅ G/Ntype
1. #13131638C2semidirect
2. Q8×#6122C2semidirect
3. #13131633C2semidirect
4. #13131632C2semidirect
5. #13131631C2semidirect
6. #13131630C2semidirect
7. #13131629C2semidirect
8. #13131627C2semidirect
9. #13131625C2semidirect
10. #13131624C2semidirect
11. D13⋊#446C2semidirect
12. C2×#11719158C2semidirect
103. #88238Q8semidirect
236. #6122C2×Q8semidirect
239. C2×#1057C2×Q8semidirect
251. #6118C2×Q8semidirect
254. D13⋊C8C2×Q8semidirect
674. C13#60195semidirect

Maximal subgroups

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

subgroupindex
#131316382
Q8×#61222
#131316332
#131316322
#131316312
#131316302
#131316292
#131316272
#131316252
#131316242
D13⋊#4462
C2×#117191582
#131314832
#131314812
#131314072
C4×#882382
Q8×#61292
#6019513