Finite Group Databasebeta

← #32015905

Subgroups — #32015905

Order 18176.

858 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986119C211yesmaximal, characteristic
2C2×#17986114C211yesmaximal, characteristic
3#22597138C211yesmaximal, characteristic
4#22596905C211yesmaximal, characteristic, complemented
5#22589090C211yesmaximal, characteristic, complemented
6#22589085C211yesmaximal, characteristic, complemented
7#22588615C211yesmaximal, characteristic, complemented
8#22588615C211yesmaximal, characteristic, complemented
9#22588614C211yesmaximal, characteristic, complemented
10#22588614C211yesmaximal, characteristic, complemented
11#22588514C211yesmaximal, characteristic, complemented
12#22588360C211yesmaximal, characteristic, complemented
13#22588357C211yesmaximal, characteristic, complemented
14#22588217C211yesmaximal, characteristic, complemented
15C71×#2906C211yesmaximal, characteristic, complemented
16C2×#14556148C2211yescharacteristic
17C2×#14556134C2211yescharacteristic
18C2×#14556134C2211yescharacteristic
19C4×#11765865C2211yescharacteristic
20#17986119—24no—
21#17986114—24no—
22#17986109C411yescharacteristic, complemented
23#17986109C411yescharacteristic, complemented
24#17986104C411yescharacteristic, complemented
25#17986104C411yescharacteristic, complemented
26#17986099C411yescharacteristic, complemented
27#17986099C411yescharacteristic, complemented
28#17986097C411yescharacteristic, complemented
29#17986097C411yescharacteristic, complemented
30C2×#14556063C2211yescharacteristic
31C2×#14556063C2211yescharacteristic
32C2×#14556063C2211yescharacteristic
33C2×#14556063C2211yescharacteristic
34#17986035C2211yescharacteristic
35#17986025C2211yescharacteristic
36#17986025C2211yescharacteristic
37#17986024—21no—
38#17986024—21no—
39#17986023C2211yescharacteristic
40#17986021—21no—
41C4⋊C8×D71—21no—
42C2×#14556055C2211yescharacteristic
43C2×#14556055C2211yescharacteristic
44C2×#14556054C2211yescharacteristic
45C2×#14556054C2211yescharacteristic
46#17985995C2211yescharacteristic
47#17985993C2211yescharacteristic
48C2×#14556039C2211yescharacteristic
49C2×#14556038C2211yescharacteristic
50C2×C8×Dic71C2211yescharacteristic
51C4×C4⋊Dic71C2211yescharacteristic
52#17985760C2211yescharacteristic
53#17985760C2211yescharacteristic
54#17985758C2211yescharacteristic
55#17985758C2211yescharacteristic
56#17985753C2211yescharacteristic
57#17985753C2211yescharacteristic
58C2×#131×C71C2211yescharacteristic
59C2×#131×C71C2211yescharacteristic
60C4×#41×C71C2211yescharacteristic
61#424×C71—21no—
62#424×C71—21no—
63#424×C71C2211yescharacteristic
64#424×C71C2211yescharacteristic
65#423×C71—21no—
66#423×C71C2211yescharacteristic
67C2×C4⋊C8×C71—21no—
68C2×C4⋊C8×C71C2211yescharacteristic
69C2×#11765865C2311yescharacteristic
70#14556148D414yes—
71#14556148Q814yes—
72C2×#11765855C2×C411yescharacteristic
73C2×#11765853C2×C411yescharacteristic
74C2×#11765852C2×C411yescharacteristic
75C2×#11765850C2×C411yescharacteristic
76#14556134—22no—
77#14556134—22no—
78#14556134—41no—
79#14556134—41no—
80C2×#11765849C2311yescharacteristic
81C2×#11765849C2311yescharacteristic
82C2×#11765848—21no—
83C2×#11765848—21no—
84C22×C71⋊C8C2311yescharacteristic
85C22×C71⋊C8C2311yescharacteristic
86C2×C8×D71—21no—
87C2×C8×D71—21no—
88C4×Dic142C2×C411yescharacteristic
89C4×Dic142C2×C411yescharacteristic
90C4×D284C2×C411yescharacteristic
91C4×D284C2×C411yescharacteristic
92C4×C22⋊D71—21no—
93C4×C22⋊D71—21no—
94#14556087C2311yescharacteristic
95#14556085—21no—
96C2×C4⋊Dic71—21no—
97C2×C4×Dic71C2311yescharacteristic
98C2×C4×Dic71C2311yescharacteristic
99C42×D71—21no—
100#14556063—22no—
101#14556063—22no—
102#14556063—41no—
103#14556063—41no—
104#14556061C2×C411yescharacteristic
105#14556061C2×C411yescharacteristic
106#14556059C2×C411yescharacteristic
107#14556059C2×C411yescharacteristic
108C4⋊(C71⋊C8)—21no—
109C4⋊(C71⋊C8)—21no—
110Dic71⋊C8—21no—
111Dic71⋊C8—21no—
112Dic71⋊C8—21no—
113Dic71⋊C8—21no—
114#14556055—22no—
115#14556055—22no—
116#14556054—22no—
117#14556054—22no—
118#14556052C2×C411yescharacteristic
119#14556052C2×C411yescharacteristic
120#14556051C2×C411yescharacteristic
121#14556051C2×C411yescharacteristic
122#14556049C2×C411yescharacteristic
123#14556049C2×C411yescharacteristic
124#14556048C2×C411yescharacteristic
125#14556048C2×C411yescharacteristic
126#14556039C2×C411yescharacteristic
127#14556039C2×C411yescharacteristic
128#14556039C2×C411yescharacteristic
129#14556039C2×C411yescharacteristic
130#14556038—22no—
131C8×Dic71—22no—
132C71⋊#95—21no—
133C2×#41×C71C2311yescharacteristic
134#131×C71—22no—
135#131×C71—22no—
136#131×C71—41no—
137#131×C71—41no—
138C2×M16×C71—21no—
139C2×M16×C71—21no—
140C2×M16×C71C2311yescharacteristic
141C2×M16×C71C2311yescharacteristic
142C22×C8×C71—21no—
143C22×C8×C71—21no—
144C22×C8×C71C2311yescharacteristic
145C22×C8×C71C2311yescharacteristic
146C4×Q8×C71C2×C411yescharacteristic
147C4×Q8×C71C2×C411yescharacteristic
148C4×D4×C71—21no—
149C4×D4×C71—21no—
150C4×D4×C71C2×C411yescharacteristic
151C4×D4×C71C2×C411yescharacteristic
152#117×C71—21no—
153#117×C71C2311yescharacteristic
154C2×C42×C71—21no—
155C2×C42×C71C2311yescharacteristic
156C4⋊C8×C71—21no—
157C4⋊C8×C71—21no—
158C4⋊C8×C71—21no—
159C4⋊C8×C71—21no—
160C4⋊C8×C71—21no—
161C4⋊C8×C71—21no—
162C4⋊C8×C71D411yescharacteristic
163C4⋊C8×C71D411yescharacteristic
164C4⋊C8×C71D411yescharacteristic
165C4⋊C8×C71D411yescharacteristic
166#11765865—21no—
167#11765865—21no—
168#11765865C2×D412yes—
169#11765865C2×Q812yes—
170C2×Dic142C22×C411yescharacteristic
171C2×D284C22×C411yescharacteristic
172C2×C22⋊D71—21no—
173C22×Dic71—21no—
174C22×Dic71—21no—
175C2×C4×D71—21no—
176C2×C4×D71—21no—
177C2×C4×D71—21no—
178#11765855C4⋊C414yescomplemented
179#11765853C4⋊C414yescomplemented
180#11765852C4⋊C414yescomplemented
181#11765850C4⋊C414yescomplemented
182#11765849—21no—
183#11765849—21no—
184#11765849—21no—
185#11765849—21no—
186#11765848—42no—
187#11765848—42no—
188C2×C71⋊C8—21no—
189C2×C71⋊C8—21no—
190C2×C71⋊C8—21no—
191C2×C71⋊C8—21no—
192C2×C71⋊C8C22×C411yescharacteristic
193C2×C71⋊C8C22×C411yescharacteristic
194C2×C71⋊C8C22×C411yescharacteristic
195C2×C71⋊C8C22×C411yescharacteristic
196C2×C71⋊C8C2×D412yes—
197C2×C71⋊C8C2×Q812yes—
198C8×D71—42no—
199C8×D71—42no—
200C4⋊Dic71—42no—
201C4⋊Dic71C22×C411yescharacteristic
202C4⋊Dic71C22×C411yescharacteristic
203Dic71⋊C4—21no—
204Dic71⋊C4—21no—
205C22⋊Dic71—21no—
206(C2×D71)⋊C4—21no—
207(C2×D71)⋊C4—21no—
208C4×Dic71—21no—
209C4×Dic71—21no—
210C4×Dic71—21no—
211C4×Dic71—21no—
212C4×Dic71—21no—
213C4×Dic71—21no—
214C4×Dic71—21no—
215#41×C71—21no—
216#41×C71—21no—
217#41×C71C2×D412yes—
218#41×C71C2×Q812yes—
219C2×Q8×C71C22×C411yescharacteristic
220C2×D4×C71—21no—
221C2×D4×C71C22×C411yescharacteristic
222C22×C4×C71—21no—
223C22×C4×C71—21no—
224C22×C4×C71—21no—
225C22×C4×C71#4111yescharacteristic
226C22×C4×C71#4111yescharacteristic
227C22×C4×C71C2411yescharacteristic
228M16×C71—21no—
229M16×C71—21no—
230M16×C71—21no—
231M16×C71—21no—
232M16×C71—42no—
233M16×C71—42no—
234C2×C8×C71—21no—
235C2×C8×C71—21no—
236C2×C8×C71—21no—
237C2×C8×C71—21no—
238C2×C8×C71—21no—
239C2×C8×C71—21no—
240C2×C8×C71—42no—
241C2×C8×C71—42no—
242C2×C8×C71C2×D411yescharacteristic
243C2×C8×C71C2×D411yescharacteristic
244C2×C8×C71C2×D411yescharacteristic
245C2×C8×C71C2×D411yescharacteristic
246C4⋊C4×C71—21no—
247C4⋊C4×C71—21no—
248C4⋊C4×C71C22×C411yescharacteristic
249C4⋊C4×C71C22×C411yescharacteristic
250C22⋊C4×C71—21no—
251C22⋊C4×C71—21no—
252C22⋊C4×C71—21no—
253C42×C71—21no—
254C42×C71—21no—
255C42×C71—21no—
256C42×C71C22×C411yescharacteristic
257C42×C71C22×C411yescharacteristic
258C42×C71C2×D411yescharacteristic
259C42×C71C2×D411yescharacteristic
260C23×C71—21no—
261C23×C71C2×#4111yescharacteristic
262C22×D71—21no—
263Q8×C71—21no—
264Q8×C71C2×C4⋊C412yes—
265D4×C71—22no—
266D4×C71—22no—
267D4×C71—21no—
268D4×C71C2×C4⋊C412yes—
269C2×C4×C71—21no—
270C2×C4×C71—22no—
271C2×C4×C71—22no—
272C2×C4×C71—21no—
273C2×C4×C71—21no—
274C2×C4×C71—41no—
275C2×C4×C71—41no—
276C2×C4×C71—42no—
277C2×C4×C71—81no—
278C2×C4×C71C4×D411yescharacteristic
279C2×C4×C71C4×D411yescharacteristic
280C2×C4×C71C4×D411yescharacteristic
281C2×C4×C71C4×D411yescharacteristic
282C2×C4×C71C23×C411yescharacteristic
283C2×C4×C71C22×D411yescharacteristic
284C2×C4×C71C22×D411yescharacteristic
285C2×C4×C71C22×Q811yescharacteristic
286C2×C4×C71H(5,𝔽2)11yescharacteristic
287C2×C4×C712−1+411yescharacteristic
288C22⋊D71—22no—
289C22⋊D71—22no—
290C2×Dic71—21no—
291C2×Dic71—22no—
292C2×Dic71—21no—
293C2×Dic71—21no—
294C2×Dic71—41no—
295C2×Dic71—41no—
296C2×Dic71—41no—
297C2×Dic71—41no—
298C2×Dic71—41no—
299D284—21no—
300D284C2×C4⋊C412yes—
301C4×D71—22no—
302C4×D71—22no—
303C4×D71—42no—
304C4×D71—81no—
305Dic142—21no—
306Dic142C2×C4⋊C412yes—
307C8×C71—21no—
308C8×C71—21no—
309C8×C71—21no—
310C8×C71—21no—
311C8×C71—41no—
312C8×C71—41no—
313C71⋊C8—21no—
314C71⋊C8—21no—
315C71⋊C8—41no—
316C71⋊C8—41no—
317C71⋊C8C2×C4⋊C412yes—
318C71⋊C8C2×C4⋊C412yes—
319C22×C71—21no—
320C22×C71—21no—
321C22×C71—22no—
322C22×C71—41no—
323C22×C71—41no—
324C22×C71C2×C4×D411yescharacteristic
325C22×C71#54711yescharacteristic
326C22×C71#55411yescharacteristic
327C2×D71—22no—
328C2×D71—41no—
329C2×D71—41no—
330C4×C71—22no—
331C4×C71—21no—
332C4×C71—21no—
333C4×C71—21no—
334C4×C71—21no—
335C4×C71—41no—
336C4×C71—41no—
337C4×C71C22×C4⋊C411yescharacteristic
338C4×C71#52011yescharacteristic
339C4×C71D4211yescharacteristic
340C4×C71D4×Q811yescharacteristic
341Dic71—22no—
342Dic71—42no—
343Dic71—41no—
344Dic71—41no—
345Dic71—81no—
346#22687—711nomaximal, Sylow
347C2×C71—21no—
348C2×C71—21no—
349C2×C71—42no—
350C2×C71D4×C4⋊C411yescharacteristic
351C2×C71#295511yescharacteristic
352C2×C71#295611yescharacteristic
353D71—42no—
354C2×#444—711no—
355C2×#443—711no—
356#2943—711no—
357#2906—711no—
358#2906D7111yescharacteristic, complemented
359#1946—711no—
360#1945—711no—
361#1866—711no—
362#1866—711no—
363#1866—711no—
364#1866—711no—
365#1849—711no—
366#1806—711no—
367#1806—711no—
368#1771—711no—
369C71#2268711yescharacteristic, complemented, Sylow
370C2×#135—711no—
371C2×#131—711no—
372C2×#131—711no—
373C2×#131C2×D7111yescharacteristic
374C2×#131C2×D7111yescharacteristic
375C4×#41—711no—
376C4×#41C2×D7111yescharacteristic
377#444—1424no—
378#443—1424no—
379#442—711no—
380#442—711no—
381#441—711no—
382#441—711no—
383#440—711no—
384#440—711no—
385#440—711no—
386#440—711no—
387C2×#108—711no—
388C2×#108—711no—
389C2×#108—711no—
390C2×#108—711no—
391#427—711no—
392#424—21no—
393#424—21no—
394#424—711no—
395#424—711no—
396#424—1421no—
397#424—1421no—
398#424C2×D7111yescharacteristic
399#424C2×D7111yescharacteristic
400#423—21no—
401#423—711no—
402#423—1421no—
403#423C2×D7111yescharacteristic
404C2×C4⋊C8—21no—
405C2×C4⋊C8—1421no—
406C2×C4⋊C8C2×D7111yescharacteristic
407C2×#104—711no—
408C2×#104—711no—
409C2×#104—711no—
410C2×#104—711no—
411#416—711no—
412#416—711no—
413C2×#97—711no—
414C2×#97—711no—
415C2×C4×C8—711no—
416C4×C4⋊C4—711no—
417#339—711no—
418#339—711no—
419#339—711no—
420#339—711no—
421#336—711no—
422#336—711no—
423C2×#41—711no—
424C2×#41C22×D7111yescharacteristic
425#135—714no—
426#135—714no—
427C2×Q16—711no—
428C2×SD16—711no—
429C2×SD16—711no—
430C2×D8—711no—
431#131—22no—
432#131—22no—
433#131—41no—
434#131—41no—
435#131—2841no—
436#131—2841no—
437#131—1422no—
438#131—1422no—
439C2×M16—21no—
440C2×M16—21no—
441C2×M16—711no—
442C2×M16—711no—
443C2×M16—1421no—
444C2×M16—1421no—
445C2×M16C22×D7111yescharacteristic
446C2×M16C22×D7111yescharacteristic
447C22×C8—21no—
448C22×C8—21no—
449C22×C8—711no—
450C22×C8—711no—
451C22×C8—1421no—
452C22×C8—1421no—
453C22×C8C22×D7111yescharacteristic
454C22×C8C22×D7111yescharacteristic
455C4×Q8—711no—
456C4×Q8—711no—
457C4×Q8C4×D7111yescharacteristic
458C4×Q8C4×D7111yescharacteristic
459C4×D4—21no—
460C4×D4—21no—
461C4×D4—711no—
462C4×D4—711no—
463C4×D4—1421no—
464C4×D4—1421no—
465C4×D4C4×D7111yescharacteristic
466C4×D4C4×D7111yescharacteristic
467#117—21no—
468#117—711no—
469#117—1421no—
470#117C22×D7111yescharacteristic
471C2×C4⋊C4—1421no—
472C2×C42—21no—
473C2×C42—711no—
474C2×C42—711no—
475C2×C42—1421no—
476C2×C42C22×D7111yescharacteristic
477#108—2841no—
478#108—2841no—
479#108—1422no—
480#108—1422no—
481#107—711no—
482#107—711no—
483#106—711no—
484#106—711no—
485C4⋊C8—21no—
486C4⋊C8—21no—
487C4⋊C8—21no—
488C4⋊C8—21no—
489C4⋊C8—21no—
490C4⋊C8—21no—
491C4⋊C8—1421no—
492C4⋊C8—1421no—
493C4⋊C8—1421no—
494C4⋊C8—1421no—
495C4⋊C8—1421no—
496C4⋊C8—1421no—
497C4⋊C8C22⋊D7111yescharacteristic
498C4⋊C8C22⋊D7111yescharacteristic
499C4⋊C8C22⋊D7111yescharacteristic
500C4⋊C8C22⋊D7111yescharacteristic
501#104—1422no—
502#104—1422no—
503#104—1422no—
504#104—1422no—
505#103—711no—
506#103—711no—
507#103—711no—
508#103—711no—
509#102—711no—
510#102—711no—
511#102—711no—
512#102—711no—
513#97—711no—
514#97—711no—
515#97—711no—
516#97—711no—
517#97—1422no—
518C4×C8—1422no—
519#95—1421no—
520#41—21no—
521#41—21no—
522#41—712no—
523#41—712no—
524#41—1421no—
525#41—1421no—
526#41D4×D7112yes—
527#41Q8×D7112yes—
528C2×Q8—711no—
529C2×Q8C2×C4×D7111yescharacteristic
530C2×D4—21no—
531C2×D4—711no—
532C2×D4—1421no—
533C2×D4C2×C4×D7111yescharacteristic
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—1421no—
538C22×C4—1421no—
539C22×C4—1421no—
540C22×C4—1421no—
541C22×C4—1421no—
542C22×C4#1176586511yescharacteristic
543C22×C4#1176586511yescharacteristic
544C22×C4C23×D7111yescharacteristic
545Q16—714no—
546SD16—714no—
547SD16—714no—
548D8—714no—
549M16—21no—
550M16—21no—
551M16—21no—
552M16—21no—
553M16—42no—
554M16—42no—
555M16—2842no—
556M16—2842no—
557M16—1421no—
558M16—1421no—
559M16—1421no—
560M16—1421no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—42no—
568C2×C8—42no—
569C2×C8—2842no—
570C2×C8—2842no—
571C2×C8—711no—
572C2×C8—711no—
573C2×C8—712no—
574C2×C8—712no—
575C2×C8—711no—
576C2×C8—711no—
577C2×C8—1421no—
578C2×C8—1421no—
579C2×C8—1421no—
580C2×C8—1421no—
581C2×C8C2×C22⋊D7111yescharacteristic
582C2×C8C2×C22⋊D7111yescharacteristic
583C2×C8C2×C22⋊D7111yescharacteristic
584C2×C8C2×C22⋊D7111yescharacteristic
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—2842no—
588C4⋊C4—711no—
589C4⋊C4—711no—
590C4⋊C4—1421no—
591C4⋊C4—1421no—
592C4⋊C4C2×C4×D7111yescharacteristic
593C4⋊C4C2×C4×D7111yescharacteristic
594C22⋊C4—21no—
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—1421no—
598C22⋊C4—1421no—
599C22⋊C4—1421no—
600C42—21no—
601C42—21no—
602C42—21no—
603C42—1421no—
604C42—1421no—
605C42—1421no—
606C42—1421no—
607C42—1421no—
608C42—1421no—
609C42—1421no—
610C42C2×C4×D7111yescharacteristic
611C42C2×C4×D7111yescharacteristic
612C42C2×C22⋊D7111yescharacteristic
613C42C2×C22⋊D7111yescharacteristic
614C23—21no—
615C23—1421no—
616C23C2×#1176586511yescharacteristic
617Q8—21no—
618Q8—712no—
619Q8—1421no—
620Q8C4⋊C4×D7112yes—
621D4—22no—
622D4—22no—
623D4—21no—
624D4—712no—
625D4—1422no—
626D4—1422no—
627D4—1421no—
628D4C4⋊C4×D7112yes—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—42no—
637C2×C4—81no—
638C2×C4—2842no—
639C2×C4—2841no—
640C2×C4—2841no—
641C2×C4—2841no—
642C2×C4—2841no—
643C2×C4—2841no—
644C2×C4—5681no—
645C2×C4—1422no—
646C2×C4—1421no—
647C2×C4—1421no—
648C2×C4—1421no—
649C2×C4—1422no—
650C2×C4—1422no—
651C2×C4C4×C22⋊D7111yescharacteristic
652C2×C4C4×C22⋊D7111yescharacteristic
653C2×C4C4×C22⋊D7111yescharacteristic
654C2×C4C4×C22⋊D7111yescharacteristic
655C2×C4C22×C4×D7111yescharacteristic
656C2×C4C2×D4×D7111yescharacteristic
657C2×C4C22×C22⋊D7111yescharacteristic
658C2×C4C2×Q8×D7111yescharacteristic
659C2×C4#1455617311yescharacteristic
660C2×C4#1455617611yescharacteristic
661C8—21no—
662C8—21no—
663C8—21no—
664C8—21no—
665C8—41no—
666C8—41no—
667C8—2841no—
668C8—2841no—
669C8—712no—
670C8—712no—
671C8—1421no—
672C8—1421no—
673C22—21no—
674C22—21no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—2841no—
679C22—2841no—
680C22—1422no—
681C22C2×C4×C22⋊D7111yescharacteristic
682C22#1798665011yescharacteristic
683C22#1798670411yescharacteristic
684C4—22no—
685C4—21no—
686C4—21no—
687C4—21no—
688C4—21no—
689C4—41no—
690C4—41no—
691C4—2842no—
692C4—2841no—
693C4—2841no—
694C4—5681no—
695C4—1422no—
696C4C2×C4⋊C4×D7111yescharacteristic
697C4#1798648011yescharacteristic
698C4D4×C22⋊D7111yescharacteristic
699C4Q8×C22⋊D7111yescharacteristic
700C2—21no—
701C2—21no—
702C2—42no—
703C2—2842no—
704C2C4⋊C4×C22⋊D7111yescharacteristic
705C2#2259724111yescharacteristic
706C2#2259724711yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D71
commutatorC2×C4×C71C23×C4
FrattiniC22×C4C23×D71
FittingC71×#2906C2
socleC22×C71C2×C4×D4
prime radicalC2×#14556148C22
cosocleC22×C4×C71C24
hypercenter#2906D71
hypocenterC71#22687
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C2×C4 ◁ C2×C4⋊C8 ◁ #2906

Complements

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

NH ≅ G/Ntype
4. #22596905C2semidirect
5. #22589090C2semidirect
6. #22589085C2semidirect
7. #22588615C2semidirect
8. #22588615C2semidirect
9. #22588614C2semidirect
10. #22588614C2semidirect
11. #22588514C2semidirect
12. #22588360C2semidirect
13. #22588357C2semidirect
14. #22588217C2semidirect
15. C71×#2906C2semidirect
22. #17986109C4semidirect
23. #17986109C4semidirect
24. #17986104C4semidirect
25. #17986104C4semidirect
26. #17986099C4semidirect
27. #17986099C4semidirect
28. #17986097C4semidirect
29. #17986097C4semidirect
178. #11765855C4⋊C4semidirect
179. #11765853C4⋊C4semidirect
180. #11765852C4⋊C4semidirect
181. #11765850C4⋊C4semidirect
358. #2906D71semidirect
369. C71#22687semidirect

Maximal subgroups

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

subgroupindex
C2×#179861192
C2×#179861142
#225971382
#225969052
#225890902
#225890852
#225886152
#225886142
#225885142
#225883602
#225883572
#225882172
C71×#29062
#2268771