Finite Group Databasebeta

← #27353033

Subgroups — #27353033

Order 13568.

870 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288601C211yesmaximal, characteristic
2#20283840C211yesmaximal, characteristic
3#20273446C211yesmaximal, characteristic, complemented
4#20273443C211yesmaximal, characteristic, complemented
5#20273440C211yesmaximal, characteristic, complemented
6#20273426C211yesmaximal, characteristic, complemented
7#20273423C211yesmaximal, characteristic, complemented
8#20273416C211yesmaximal, characteristic, complemented
9#20273413C211yesmaximal, characteristic, complemented
10#20273406C211yesmaximal, characteristic, complemented
11#20273403C211yesmaximal, characteristic, complemented
12#20273373C211yesmaximal, characteristic, complemented
13#20273370C211yesmaximal, characteristic, complemented
14C2×#16810371C211yesmaximal, characteristic, complemented
15C53×#2990C211yesmaximal, characteristic
16#16811351—21no—
17#16811351—21no—
18#16811343—21no—
19#16811343—21no—
20#16811313—21no—
21#16811313—21no—
22#16811313—21no—
23#16811313—21no—
24#16811235C412yes—
25#16811235C412yes—
26#16811194C412yes—
27#16811180C2211yescharacteristic
28#16811180C2211yescharacteristic
29#16811180C2211yescharacteristic
30#16811180C2211yescharacteristic
31#16811180C2211yescharacteristic
32C2×#13133217C2211yescharacteristic
33#16811100C412yes—
34#16810754—21no—
35#16810695—21no—
36#16810695—21no—
37D4×#88322—21no—
38#16810680C2211yescharacteristic
39#16810680C2211yescharacteristic
40#16810676C2211yescharacteristic
41#16810647C2211yescharacteristic
42C2×C4⋊#88322C2211yescharacteristic
43C2×C4⋊#88322C2211yescharacteristic
44#16810371C2211yescharacteristic
45#16810371C2211yescharacteristic
46#16810371C2211yescharacteristic
47#16810371C2211yescharacteristic
48#16810371C2211yescharacteristic
49#16810371C2211yescharacteristic
50#16810371C2211yescharacteristic
51#16810371C2211yescharacteristic
52#16810370C2211yescharacteristic
53#16810370C2211yescharacteristic
54#16810370C2211yescharacteristic
55#16810370C2211yescharacteristic
56#16810368C2211yescharacteristic
57#16810368C2211yescharacteristic
58#16810368C2211yescharacteristic
59#16810368C2211yescharacteristic
60C4×#41×C53C2211yescharacteristic
61C53×#446—21no—
62C53×#435—21no—
63C53×#435—21no—
64C8×D4×C53—21no—
65C53×#432C2211yescharacteristic
66C53×#432C2211yescharacteristic
67C53×#431C2211yescharacteristic
68C53×#423C2211yescharacteristic
69C2×C4⋊C8×C53C2211yescharacteristic
70C2×C4⋊C8×C53C2211yescharacteristic
71C22×Dic106C2×C412yes—
72C2×#11719917—21no—
73C22×#88322—21no—
74C22×#88322—21no—
75#13133217—21no—
76#13133217—21no—
77#13133217C2×C412yes—
78#13133217C2311yescharacteristic
79#13133217C2311yescharacteristic
80#13133217C2311yescharacteristic
81#13133217C2311yescharacteristic
82#13133215—22no—
83#13133210—22no—
84#13133210—22no—
85#13133210—22no—
86#13133210—22no—
87#13133209—21no—
88#13133209—21no—
89#13133209—21no—
90#13133209—21no—
91#13133209C2×C412yes—
92#13133207—22no—
93#13133207—22no—
94#13133207—22no—
95#13133207—22no—
96#13133204—22no—
97#13133198—22no—
98#13133198—22no—
99#13133196—21no—
100#13133196—21no—
101#13133196—21no—
102#13133196—21no—
103#13133196—21no—
104#13133196—21no—
105#13133196C2×C412yes—
106#13133196C2×C412yes—
107#13133196C2×C412yes—
108#13133196C2×C412yes—
109C4×Dic106—21no—
110C4×Dic106—21no—
111C4×Dic106—21no—
112C4×Dic106—21no—
113C4×Dic106—21no—
114C4×Dic106—21no—
115C4×Dic106C2×C412yes—
116C4×Dic106C2×C412yes—
117C4×Dic106C2×C412yes—
118C4×Dic106C2×C412yes—
119#13133182—22no—
120#13133182—22no—
121#13133176—21no—
122#13133176—21no—
123#13133176—21no—
124#13133176—21no—
125#13133176C2×C412yes—
126#13133173—22no—
127#13133173—22no—
128C2×C4⋊Dic53—21no—
129C2×C4⋊Dic53—21no—
130C4⋊#88322—21no—
131C4⋊#88322—21no—
132C4⋊#88322—21no—
133C4⋊#88322C2311yescharacteristic
134C4⋊#88322C2311yescharacteristic
135C4⋊#88322C2311yescharacteristic
136C4⋊#88322C2311yescharacteristic
137C22⋊#88322—21no—
138C22⋊#88322—21no—
139C22⋊#88322—21no—
140#13133128—21no—
141#13133128—21no—
142C4×#88322—21no—
143C2×#41×C53C2×C411yescharacteristic
144C2×M16×C53—21no—
145C22×C8×C53—21no—
146C22×C8×C53—21no—
147C4×Q8×C53D411yescharacteristic
148C4×Q8×C53D411yescharacteristic
149C4×D4×C53D411yescharacteristic
150C4×D4×C53D411yescharacteristic
151C4×D4×C53D411yescharacteristic
152C4×D4×C53D411yescharacteristic
153C4×D4×C53D411yescharacteristic
154C4×D4×C53D411yescharacteristic
155#117×C53C2×C411yescharacteristic
156#117×C53C2×C411yescharacteristic
157#117×C53C2×C411yescharacteristic
158C2×C42×C53C2311yescharacteristic
159C2×C42×C53C2311yescharacteristic
160C2×C42×C53C2311yescharacteristic
161C4⋊C8×C53—21no—
162C4⋊C8×C53—21no—
163C4⋊C8×C53—21no—
164C4⋊C8×C53C2311yescharacteristic
165C4⋊C8×C53C2311yescharacteristic
166C4⋊C8×C53C2311yescharacteristic
167C4⋊C8×C53C2311yescharacteristic
168C22⋊C8×C53—21no—
169C22⋊C8×C53—21no—
170C22⋊C8×C53—21no—
171#97×C53—21no—
172#97×C53—21no—
173C4×C8×C53—21no—
174#41×C53—42no—
175C2×Q8×C53C22⋊C411yescharacteristic
176C2×D4×C53C22⋊C411yescharacteristic
177C2×D4×C53C22⋊C411yescharacteristic
178C2×D4×C53C22⋊C411yescharacteristic
179C22×C4×C53C22×C411yescharacteristic
180C22×C4×C53C22×C411yescharacteristic
181C22×C4×C53C22×C411yescharacteristic
182C22×C4×C53C2×D411yescharacteristic
183C22×C4×C53C2×D411yescharacteristic
184C22×C4×C53C2×D411yescharacteristic
185C22×C4×C53C2×D411yescharacteristic
186C22×C4×C53C2×D411yescharacteristic
187C22×C4×C53C2×D411yescharacteristic
188C22×Dic53—22no—
189C2×Dic106—22no—
190C2×Dic106—21no—
191C2×Dic106—21no—
192C2×Dic106—44no—
193C2×Dic106C22×C412yes—
194C2×Dic106C22×C412yes—
195M16×C53—81no—
196C2×C8×C53—21no—
197C2×C8×C53—21no—
198C2×C8×C53—21no—
199C2×C8×C53—21no—
200C2×C8×C53—81no—
201C2×C8×C53—81no—
202C4⋊C4×C53C22⋊C411yescharacteristic
203C4⋊C4×C53C22⋊C411yescharacteristic
204C4⋊C4×C53C22⋊C411yescharacteristic
205C4⋊C4×C53C22⋊C411yescharacteristic
206C4⋊C4×C53C22⋊C411yescharacteristic
207C4⋊C4×C53C22⋊C411yescharacteristic
208C22⋊C4×C53C22⋊C411yescharacteristic
209C22⋊C4×C53C22⋊C411yescharacteristic
210C22⋊C4×C53C22⋊C411yescharacteristic
211C22⋊C4×C53C22⋊C411yescharacteristic
212C22⋊C4×C53C22⋊C411yescharacteristic
213C22⋊C4×C53C22⋊C411yescharacteristic
214C42×C53C22×C411yescharacteristic
215C42×C53C22×C411yescharacteristic
216C42×C53C22×C411yescharacteristic
217C42×C53C2×D411yescharacteristic
218C42×C53C2×D411yescharacteristic
219C42×C53C2×D411yescharacteristic
220C42×C53C2×D411yescharacteristic
221C42×C53C2×D411yescharacteristic
222C42×C53C2×D411yescharacteristic
223C42×C53C2411yescharacteristic
224C22⋊Dic53—22no—
225C22⋊Dic53—22no—
226C22⋊Dic53—22no—
227C22⋊Dic53—22no—
228C22⋊Dic53—22no—
229C4⋊Dic53—22no—
230C4⋊Dic53—22no—
231C4⋊Dic53—21no—
232C4⋊Dic53—21no—
233C4⋊Dic53—21no—
234C4⋊Dic53—21no—
235C4⋊Dic53—21no—
236C4⋊Dic53—21no—
237C4⋊Dic53C22×C412yes—
238C4⋊Dic53C22×C412yes—
239#11719919—22no—
240#11719919—22no—
241#11719919—22no—
242#11719919—22no—
243#11719919—22no—
244#11719919—22no—
245#11719919—22no—
246#11719919—22no—
247#11719919—22no—
248#11719919—22no—
249C4×Dic53—22no—
250C4×Dic53—22no—
251C4×Dic53—22no—
252C4×Dic53—22no—
253C4×Dic53—22no—
254#11719917—81no—
255C2×#88322—21no—
256C2×#88322—21no—
257C2×#88322—21no—
258C2×#88322—21no—
259C2×#88322—81no—
260C2×#88322—81no—
261C23×C53C2×C22⋊C411yescharacteristic
262C23×C53C2×C22⋊C411yescharacteristic
263C23×C53C2×C22⋊C411yescharacteristic
264Q8×C53—41no—
265D4×C53—22no—
266D4×C53—22no—
267D4×C53—41no—
268C2×C4×C53—22no—
269C2×C4×C53—21no—
270C2×C4×C53—21no—
271C2×C4×C53—21no—
272C2×C4×C53—21no—
273C2×C4×C53—21no—
274C2×C4×C53—21no—
275C2×C4×C53—21no—
276C2×C4×C53—21no—
277C2×C4×C53—21no—
278C2×C4×C53—21no—
279C2×C4×C53—21no—
280C2×C4×C53—21no—
281C2×C4×C53—41no—
282C2×C4×C53—41no—
283C2×C4×C53C2×C22⋊C411yescharacteristic
284C2×C4×C53C2×C22⋊C411yescharacteristic
285C2×C4×C53C2×C22⋊C411yescharacteristic
286C2×C4×C53C2×C22⋊C411yescharacteristic
287C2×C4×C53C2×C22⋊C411yescharacteristic
288C2×C4×C53C2×C22⋊C411yescharacteristic
289C2×C4×C53C2×C22⋊C411yescharacteristic
290C2×C4×C53C2×C22⋊C411yescharacteristic
291C2×C4×C53C2×C22⋊C411yescharacteristic
292C2×C4×C53C23×C411yescharacteristic
293C2×C4×C53C22×D411yescharacteristic
294C2×C4×C53C22×D411yescharacteristic
295C2×Dic53—22no—
296C2×Dic53—22no—
297C2×Dic53—22no—
298C2×Dic53—22no—
299C2×Dic53—44no—
300Dic106—44no—
301Dic106—41no—
302Dic106—41no—
303Dic106—41no—
304Dic106—41no—
305Dic106—42no—
306Dic106—42no—
307C8×C53—41no—
308C8×C53—41no—
309C8×C53—41no—
310C8×C53—41no—
311#88322—41no—
312#88322—41no—
313#88322—41no—
314#88322—41no—
315#17780—531nomaximal, Sylow
316C22×C53—21no—
317C22×C53—21no—
318C22×C53—21no—
319C22×C53—21no—
320C22×C53—21no—
321C22×C53—21no—
322C22×C53—21no—
323C22×C53—21no—
324C22×C53#41312yes—
325C22×C53C22×C22⋊C411yescharacteristic
326C4×C53—21no—
327C4×C53—21no—
328C4×C53—21no—
329C4×C53—21no—
330C4×C53—21no—
331C4×C53—21no—
332C4×C53—21no—
333C4×C53—21no—
334C4×C53—21no—
335C4×C53—21no—
336C4×C53#57711yescharacteristic
337C4×C53#57711yescharacteristic
338C4×C53#57811yescharacteristic
339C4×C53#57811yescharacteristic
340Dic53—42no—
341Dic53—42no—
342Dic53—42no—
343Dic53—42no—
344#3509—531no—
345#2990—531no—
346#2990D5311yescharacteristic
347#1559—531no—
348#1559—531no—
349#1558—531no—
350#1554—531no—
351#1554—531no—
352#1552—531no—
353#1552—531no—
354#1550—531no—
355#1550—531no—
356#1542—531no—
357#1542—531no—
358C2×#333—531no—
359C2×C53—22no—
360C2×C53—41no—
361C2×C53—41no—
362C2×C53C2×#41311yescharacteristic
363C2×C53#289811yescharacteristic
364C2×C53#289811yescharacteristic
365#557—1061no—
366#557—1061no—
367#556—1061no—
368#556—1061no—
369#552—1061no—
370#552—1061no—
371#552—1061no—
372#552—1061no—
373#541—532no—
374#541—532no—
375#536—532no—
376#533—531no—
377#533—531no—
378#533—531no—
379#533—531no—
380#533—531no—
381C2×C4⋊Q8—531no—
382#519—532no—
383C4×#41C2×D5311yescharacteristic
384#446—21no—
385#446—1061no—
386#435—21no—
387#435—21no—
388#435—1061no—
389#435—1061no—
390C8×D4—21no—
391C8×D4—1061no—
392#432—531no—
393#432—531no—
394#432C2×D5311yescharacteristic
395#432C2×D5311yescharacteristic
396#431—531no—
397#431C2×D5311yescharacteristic
398#423—531no—
399#423C2×D5311yescharacteristic
400C2×C4⋊C8—531no—
401C2×C4⋊C8—531no—
402C2×C4⋊C8C2×D5311yescharacteristic
403C2×C4⋊C8C2×D5311yescharacteristic
404#333—531no—
405#333—531no—
406#333—531no—
407#333—531no—
408#333—531no—
409#333—531no—
410#333—531no—
411#333—531no—
412#332—531no—
413#332—531no—
414#332—531no—
415#332—531no—
416#332—531no—
417#332—531no—
418#332—531no—
419#332—531no—
420C53#1778011yescharacteristic, complemented, Sylow
421C2×#41C4×D5311yescharacteristic
422C22×Q8—532no—
423C2×M16—21no—
424C2×M16—1061no—
425C22×C8—21no—
426C22×C8—21no—
427C22×C8—1061no—
428C22×C8—1061no—
429C4⋊Q8—532no—
430C4⋊Q8—531no—
431C4⋊Q8—531no—
432C4⋊Q8—531no—
433C4⋊Q8—531no—
434C4⋊Q8—1062no—
435C4⋊Q8—1061no—
436C4⋊Q8—1061no—
437#126—1062no—
438#126—1062no—
439#126—1062no—
440#126—1062no—
441#125—532no—
442#125—1062no—
443#125—1062no—
444#125—1062no—
445#125—1062no—
446#125—1061no—
447#125—1061no—
448#125—1061no—
449#125—1061no—
450#124—1062no—
451#123—1062no—
452#123—1062no—
453C22⋊Q8—532no—
454C22⋊Q8—532no—
455C22⋊Q8—532no—
456C22⋊Q8—532no—
457C22⋊Q8—1061no—
458C22⋊Q8—1061no—
459C22⋊Q8—1061no—
460C22⋊Q8—1061no—
461C22⋊Q8—1061no—
462C22⋊Q8—1061no—
463C4×Q8—532no—
464C4×Q8—532no—
465C4×Q8—532no—
466C4×Q8—532no—
467C4×Q8—1062no—
468C4×Q8—1062no—
469C4×Q8—1061no—
470C4×Q8—1061no—
471C4×Q8—1061no—
472C4×Q8—1061no—
473C4×Q8—1061no—
474C4×Q8—1061no—
475C4×Q8D21211yescharacteristic
476C4×Q8C22⋊D5311yescharacteristic
477C4×D4D21211yescharacteristic
478C4×D4D21211yescharacteristic
479C4×D4D21211yescharacteristic
480C4×D4C22⋊D5311yescharacteristic
481C4×D4C22⋊D5311yescharacteristic
482C4×D4C22⋊D5311yescharacteristic
483#117—532no—
484#117—1061no—
485#117—1061no—
486#117—1061no—
487#117—1061no—
488#117—1062no—
489#117—1062no—
490#117C4×D5311yescharacteristic
491#117C4×D5311yescharacteristic
492#117C4×D5311yescharacteristic
493C2×C4⋊C4—1061no—
494C2×C4⋊C4—1061no—
495C2×C42C22×D5311yescharacteristic
496C2×C42C22×D5311yescharacteristic
497C2×C42C22×D5311yescharacteristic
498C4⋊C8—21no—
499C4⋊C8—21no—
500C4⋊C8—21no—
501C4⋊C8—531no—
502C4⋊C8—531no—
503C4⋊C8—531no—
504C4⋊C8—531no—
505C4⋊C8—1061no—
506C4⋊C8—1061no—
507C4⋊C8—1061no—
508C4⋊C8C22×D5311yescharacteristic
509C4⋊C8C22×D5311yescharacteristic
510C4⋊C8C22×D5311yescharacteristic
511C4⋊C8C22×D5311yescharacteristic
512C22⋊C8—21no—
513C22⋊C8—21no—
514C22⋊C8—21no—
515C22⋊C8—1061no—
516C22⋊C8—1061no—
517C22⋊C8—1061no—
518#97—21no—
519#97—21no—
520#97—1061no—
521#97—1061no—
522C4×C8—21no—
523C4×C8—1061no—
524#41—42no—
525C2×Q8—532no—
526C2×Q8—532no—
527C2×Q8—1062no—
528C2×Q8—1061no—
529C2×Q8—1061no—
530C2×Q8—2124no—
531C2×Q8#1171992111yescharacteristic
532C2×D4#1171992111yescharacteristic
533C2×D4#1171992111yescharacteristic
534C2×D4#1171992111yescharacteristic
535C22×C4—1062no—
536C22×C4C2×C4×D5311yescharacteristic
537C22×C4C2×C4×D5311yescharacteristic
538C22×C4C2×C4×D5311yescharacteristic
539C22×C4C2×D21211yescharacteristic
540C22×C4C2×D21211yescharacteristic
541C22×C4C2×D21211yescharacteristic
542C22×C4C2×C22⋊D5311yescharacteristic
543C22×C4C2×C22⋊D5311yescharacteristic
544C22×C4C2×C22⋊D5311yescharacteristic
545M16—81no—
546M16—4241no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—81no—
552C2×C8—81no—
553C2×C8—1061no—
554C2×C8—1061no—
555C2×C8—1061no—
556C2×C8—1061no—
557C2×C8—4241no—
558C2×C8—4241no—
559C4⋊C4—532no—
560C4⋊C4—532no—
561C4⋊C4—1062no—
562C4⋊C4—1062no—
563C4⋊C4—1062no—
564C4⋊C4—1062no—
565C4⋊C4—1062no—
566C4⋊C4—1062no—
567C4⋊C4—1062no—
568C4⋊C4—1062no—
569C4⋊C4—1062no—
570C4⋊C4—1062no—
571C4⋊C4—1062no—
572C4⋊C4—1062no—
573C4⋊C4—1061no—
574C4⋊C4—1061no—
575C4⋊C4—1061no—
576C4⋊C4—1061no—
577C4⋊C4—1061no—
578C4⋊C4—1061no—
579C4⋊C4#1171992111yescharacteristic
580C4⋊C4#1171992111yescharacteristic
581C4⋊C4#1171992111yescharacteristic
582C4⋊C4#1171992111yescharacteristic
583C4⋊C4#1171992111yescharacteristic
584C4⋊C4#1171992111yescharacteristic
585C22⋊C4—1062no—
586C22⋊C4—1062no—
587C22⋊C4—1062no—
588C22⋊C4—1062no—
589C22⋊C4—1062no—
590C22⋊C4#1171992111yescharacteristic
591C22⋊C4#1171992111yescharacteristic
592C22⋊C4#1171992111yescharacteristic
593C22⋊C4#1171992111yescharacteristic
594C22⋊C4#1171992111yescharacteristic
595C22⋊C4#1171992111yescharacteristic
596C42—1062no—
597C42—1062no—
598C42—1062no—
599C42—1062no—
600C42—1062no—
601C42C2×C4×D5311yescharacteristic
602C42C2×C4×D5311yescharacteristic
603C42C2×C4×D5311yescharacteristic
604C42C2×D21211yescharacteristic
605C42C2×D21211yescharacteristic
606C42C2×D21211yescharacteristic
607C42C2×C22⋊D5311yescharacteristic
608C42C2×C22⋊D5311yescharacteristic
609C42C2×C22⋊D5311yescharacteristic
610C42C23×D5311yescharacteristic
611C23C2×#1171992111yescharacteristic
612C23C2×#1171992111yescharacteristic
613C23C2×#1171992111yescharacteristic
614Q8—41no—
615Q8—2122no—
616Q8—2122no—
617Q8—2124no—
618Q8—2121no—
619Q8—2121no—
620Q8—2121no—
621Q8—2121no—
622D4—22no—
623D4—22no—
624D4—41no—
625C2×C4—22no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—1062no—
641C2×C4—1062no—
642C2×C4—1062no—
643C2×C4—1062no—
644C2×C4—2124no—
645C2×C4C2×#1171992111yescharacteristic
646C2×C4C2×#1171992111yescharacteristic
647C2×C4C2×#1171992111yescharacteristic
648C2×C4C2×#1171992111yescharacteristic
649C2×C4C2×#1171992111yescharacteristic
650C2×C4C2×#1171992111yescharacteristic
651C2×C4C2×#1171992111yescharacteristic
652C2×C4C2×#1171992111yescharacteristic
653C2×C4C2×#1171992111yescharacteristic
654C2×C4C22×C4×D5311yescharacteristic
655C2×C4C22×C22⋊D5311yescharacteristic
656C2×C4C22×D21211yescharacteristic
657C8—41no—
658C8—41no—
659C8—41no—
660C8—41no—
661C8—2121no—
662C8—2121no—
663C8—2121no—
664C8—2121no—
665C22—21no—
666C22—21no—
667C22—21no—
668C22—21no—
669C22—21no—
670C22—21no—
671C22—21no—
672C22—21no—
673C22#1681060512yes—
674C22C22×#1171992111yescharacteristic
675C4—21no—
676C4—21no—
677C4—21no—
678C4—21no—
679C4—21no—
680C4—21no—
681C4—21no—
682C4—21no—
683C4—21no—
684C4—21no—
685C4—2122no—
686C4—2122no—
687C4—2122no—
688C4—2122no—
689C4#1681143411yescharacteristic
690C4#1681143511yescharacteristic
691C4#1681143811yescharacteristic
692C4#1681144011yescharacteristic
693C2—22no—
694C2—41no—
695C2—41no—
696C2C2×#1681060511yescharacteristic
697C2#2028324511yescharacteristic
698C2#2028324911yescharacteristic
subgroupG/H
centerC22C22×#11719921
commutatorC2×C4×C53C23×C4
FrattiniC42C23×D53
FittingC53×#2990C2
socleC22×C53C22×C22⋊C4
prime radicalC2×#41×C53C2×C4
cosocleC42×C53C24
hypercenter#2990D53
hypocenterC53#17780
LCSG ▷ C2×C4×C53 ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ C4×#41 ◁ #2990

Complements

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

NH ≅ G/Ntype
3. #20273446C2semidirect
4. #20273443C2semidirect
5. #20273440C2semidirect
6. #20273426C2semidirect
7. #20273423C2semidirect
8. #20273416C2semidirect
9. #20273413C2semidirect
10. #20273406C2semidirect
11. #20273403C2semidirect
12. #20273373C2semidirect
13. #20273370C2semidirect
14. C2×#16810371C2semidirect
420. C53#17780semidirect

Maximal subgroups

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

subgroupindex
#202886012
#202838402
#202734462
#202734432
#202734402
#202734262
#202734232
#202734162
#202734132
#202734062
#202734032
#202733732
#202733702
C2×#168103712
C53×#29902
#1778053