Finite Group Databasebeta

← #32000350

Subgroups — #32000350

Order 18176.

884 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986061C211yesmaximal, characteristic, complemented
2#22590799C211yesmaximal, characteristic
3#22588953C211yesmaximal, characteristic, complemented
4#22588946C211yesmaximal, characteristic, complemented
5#22588904C211yesmaximal, characteristic, complemented
6#22588897C211yesmaximal, characteristic, complemented
7#22588637C211yesmaximal, characteristic
8#22588632C211yesmaximal, characteristic
9#22588523C211yesmaximal, characteristic, complemented
10#22588518C211yesmaximal, characteristic, complemented
11C4×Dic71⋊C8C211yesmaximal, characteristic, complemented
12#22588107C211yesmaximal, characteristic, complemented
13#22588106C211yesmaximal, characteristic, complemented
14#22588088C211yesmaximal, characteristic, complemented
15C2×#405×C71C211yesmaximal, characteristic, complemented
16C2×C4×C22⋊D71C2211yescharacteristic
17C2×#14556085C2211yescharacteristic
18#17986061—24no—
19C2×Dic71⋊C8C2211yescharacteristic
20C2×Dic71⋊C8C2211yescharacteristic
21C2×Dic71⋊C8C2211yescharacteristic
22C2×Dic71⋊C8C2211yescharacteristic
23C2×C22⋊(C71⋊C8)C2211yescharacteristic
24C2×C22⋊(C71⋊C8)C2211yescharacteristic
25C2×(C2×D71)⋊C8C2211yescharacteristic
26C2×(C2×D71)⋊C8C2211yescharacteristic
27C2×(C2×D71)⋊C8C2211yescharacteristic
28C2×(C2×D71)⋊C8C2211yescharacteristic
29C2×#14556039C2211yescharacteristic
30C2×C4×C71⋊C8C2211yescharacteristic
31#17985899C411yescharacteristic
32#17985899C411yescharacteristic
33#17985894C411yescharacteristic
34#17985894C411yescharacteristic
35#17985893C411yescharacteristic
36#17985893C411yescharacteristic
37#17985889C411yescharacteristic
38#17985889C411yescharacteristic
39C4×Dic71⋊C4C2211yescharacteristic
40C4×(C2×D71)⋊C4C2211yescharacteristic
41C4×C22⋊Dic71C2211yescharacteristic
42C42×Dic71C2211yescharacteristic
43#17985754C2211yescharacteristic
44#17985754C2211yescharacteristic
45#17985753C2211yescharacteristic
46#17985753C2211yescharacteristic
47#17985753C2211yescharacteristic
48#17985753C2211yescharacteristic
49#17985753C2211yescharacteristic
50#17985753C2211yescharacteristic
51#17985753C2211yescharacteristic
52#17985753C2211yescharacteristic
53C22×M16×C71C2211yescharacteristic
54C23×C8×C71C2211yescharacteristic
55C2×#117×C71C2211yescharacteristic
56#405×C71—24no—
57C2×#97×C71C2211yescharacteristic
58C2×#97×C71C2211yescharacteristic
59C2×C4×C8×C71C2211yescharacteristic
60C2×C4×C8×C71C2211yescharacteristic
61C22×C22⋊D71C2×C411yescharacteristic
62C22×C4×D71C2311yescharacteristic
63C22×C71⋊C8C2311yescharacteristic
64C22×C71⋊C8C2311yescharacteristic
65C22×C71⋊C8C2311yescharacteristic
66C22×C71⋊C8C2311yescharacteristic
67C4×C22⋊D71—22no—
68C4×C22⋊D71—22no—
69#14556085—22no—
70#14556085—22no—
71C2×Dic71⋊C4C2×C411yescharacteristic
72C2×Dic71⋊C4C2×C411yescharacteristic
73C2×Dic71⋊C4C2×C411yescharacteristic
74C2×Dic71⋊C4C2×C411yescharacteristic
75C2×Dic71⋊C4C2×C411yescharacteristic
76C2×C22⋊Dic71C2×C411yescharacteristic
77C2×C22⋊Dic71C2×C411yescharacteristic
78C2×C22⋊Dic71C2×C411yescharacteristic
79C2×(C2×D71)⋊C4C2×C411yescharacteristic
80C2×(C2×D71)⋊C4C2×C411yescharacteristic
81C2×(C2×D71)⋊C4C2×C411yescharacteristic
82C2×(C2×D71)⋊C4C2×C411yescharacteristic
83C2×(C2×D71)⋊C4C2×C411yescharacteristic
84C2×C4×Dic71C2×C411yescharacteristic
85C2×C4×Dic71C2×C411yescharacteristic
86C2×C4×Dic71C2×C411yescharacteristic
87C2×C4×Dic71C2×C411yescharacteristic
88C2×C4×Dic71C2311yescharacteristic
89C2×C4×Dic71C2311yescharacteristic
90C2×C4×Dic71C2311yescharacteristic
91Dic71⋊C8—22no—
92Dic71⋊C8—22no—
93Dic71⋊C8—22no—
94Dic71⋊C8—22no—
95C22⋊(C71⋊C8)—22no—
96C22⋊(C71⋊C8)—22no—
97(C2×D71)⋊C8—22no—
98(C2×D71)⋊C8—22no—
99(C2×D71)⋊C8—22no—
100(C2×D71)⋊C8—22no—
101#14556039—22no—
102C4×C71⋊C8—22no—
103C71⋊#95C2×C411yescharacteristic
104C71⋊#95C2×C411yescharacteristic
105C71⋊#95C2×C411yescharacteristic
106C71⋊#95C2×C411yescharacteristic
107C71⋊#95C2×C411yescharacteristic
108C71⋊#95C2×C411yescharacteristic
109C23×C4×C71C2311yescharacteristic
110C2×M16×C71—22no—
111C2×M16×C71—22no—
112C2×M16×C71—22no—
113C22×C8×C71—22no—
114C22×C8×C71—22no—
115C22×C8×C71—22no—
116C22×C8×C71C2311yescharacteristic
117C22×C8×C71C2311yescharacteristic
118C22×C8×C71C2311yescharacteristic
119C22×C8×C71C2311yescharacteristic
120#117×C71—22no—
121#117×C71—22no—
122C2×C4⋊C4×C71C2×C411yescharacteristic
123C2×C4⋊C4×C71C2×C411yescharacteristic
124C2×C22⋊C4×C71C2×C411yescharacteristic
125C2×C22⋊C4×C71C2×C411yescharacteristic
126C2×C42×C71C2311yescharacteristic
127C2×C42×C71C2311yescharacteristic
128#97×C71—22no—
129#97×C71D414yescomplemented
130C4×C8×C71—22no—
131C4×C8×C71—22no—
132C23×D71C22×C411yescharacteristic
133C2×C22⋊D71—22no—
134C2×C22⋊D71—22no—
135C2×C22⋊D71—41no—
136C22×Dic71C22×C411yescharacteristic
137C22×Dic71C22×C411yescharacteristic
138C22×Dic71C22×C411yescharacteristic
139C22×Dic71C22×C411yescharacteristic
140C22×Dic71C22×C411yescharacteristic
141C22×Dic71C22×C411yescharacteristic
142C22×Dic71C22×C411yescharacteristic
143C2×C4×D71—21no—
144C2×C4×D71—21no—
145C2×C4×D71—21no—
146C2×C4×D71—21no—
147C2×C4×D71—21no—
148C2×C4×D71—21no—
149C2×C71⋊C8—21no—
150C2×C71⋊C8—21no—
151C2×C71⋊C8—21no—
152C2×C71⋊C8—21no—
153C2×C71⋊C8—21no—
154C2×C71⋊C8—21no—
155C2×C71⋊C8—21no—
156C2×C71⋊C8—21no—
157C2×C71⋊C8—21no—
158C2×C71⋊C8—21no—
159C2×C71⋊C8—21no—
160C2×C71⋊C8—21no—
161Dic71⋊C4—22no—
162Dic71⋊C4—22no—
163Dic71⋊C4—22no—
164Dic71⋊C4—22no—
165Dic71⋊C4—41no—
166C22⋊Dic71—22no—
167C22⋊Dic71—22no—
168C22⋊Dic71—41no—
169(C2×D71)⋊C4—22no—
170(C2×D71)⋊C4—22no—
171(C2×D71)⋊C4—22no—
172(C2×D71)⋊C4—22no—
173(C2×D71)⋊C4—41no—
174C4×Dic71—21no—
175C4×Dic71—21no—
176C4×Dic71—21no—
177C4×Dic71—21no—
178C4×Dic71—21no—
179C4×Dic71—21no—
180C4×Dic71—22no—
181C4×Dic71—22no—
182C4×Dic71—41no—
183C4×Dic71—41no—
184C24×C71C22×C411yescharacteristic
185C22×C4×C71—21no—
186C22×C4×C71—21no—
187C22×C4×C71—21no—
188C22×C4×C71—21no—
189C22×C4×C71C22×C411yescharacteristic
190C22×C4×C71C22×C411yescharacteristic
191C22×C4×C71C22×C411yescharacteristic
192C22×C4×C71C22×C411yescharacteristic
193C22×C4×C71C22×C411yescharacteristic
194C22×C4×C71#4112yes—
195C22×C4×C71#4112yes—
196C22×C4×C71C2411yescharacteristic
197M16×C71—28no—
198C2×C8×C71—28no—
199C2×C8×C71—21no—
200C2×C8×C71—21no—
201C2×C8×C71—21no—
202C2×C8×C71—21no—
203C2×C8×C71—21no—
204C2×C8×C71—21no—
205C2×C8×C71—21no—
206C2×C8×C71—21no—
207C2×C8×C71C2×D412yes—
208C2×C8×C71C2×D412yes—
209C2×C8×C71#4112yes—
210C2×C8×C71#4112yes—
211C4⋊C4×C71—22no—
212C4⋊C4×C71—22no—
213C22⋊C4×C71—22no—
214C22⋊C4×C71—22no—
215C42×C71—21no—
216C42×C71—21no—
217C42×C71C2×D412yes—
218C42×C71#4112yes—
219C23×C71—21no—
220C23×C71—21no—
221C23×C71—21no—
222C23×C71—21no—
223C23×C71—21no—
224C23×C71—21no—
225C23×C71#11712yes—
226C23×C71C23×C411yescharacteristic
227C22×D71—21no—
228C22×D71—21no—
229C22×D71—21no—
230C22×D71—21no—
231C22×D71—21no—
232C22×D71—21no—
233C22×D71—21no—
234C2×C4×C71—21no—
235C2×C4×C71—21no—
236C2×C4×C71—21no—
237C2×C4×C71—21no—
238C2×C4×C71—21no—
239C2×C4×C71—21no—
240C2×C4×C71—22no—
241C2×C4×C71—22no—
242C2×C4×C71—22no—
243C2×C4×C71—22no—
244C2×C4×C71—21no—
245C2×C4×C71—21no—
246C2×C4×C71—21no—
247C2×C4×C71—21no—
248C2×C4×C71—21no—
249C2×C4×C71—21no—
250C2×C4×C71#11712yes—
251C2×C4×C71C4×D412yes—
252C2×C4×C71C4×D412yes—
253C2×C4×C71C22×D411yescharacteristic
254C2×C4×C71C2×#4111yescharacteristic
255C2×C4×C71C2×#4111yescharacteristic
256C2×C4×C71C2×#4111yescharacteristic
257C2×C4×C71C2×#4111yescharacteristic
258C2×C4×C71C2×#4111yescharacteristic
259C22⋊D71—44no—
260C2×Dic71—21no—
261C2×Dic71—21no—
262C2×Dic71—21no—
263C2×Dic71—21no—
264C2×Dic71—21no—
265C2×Dic71—21no—
266C2×Dic71—21no—
267C2×Dic71—21no—
268C2×Dic71—21no—
269C2×Dic71—21no—
270C2×Dic71—21no—
271C2×Dic71—21no—
272C2×Dic71—21no—
273C2×Dic71—21no—
274C2×Dic71—21no—
275C2×Dic71—21no—
276C2×Dic71—21no—
277C2×Dic71—21no—
278C2×Dic71—21no—
279C2×Dic71#13112yes—
280C2×Dic71#13112yes—
281C4×D71—41no—
282C4×D71—41no—
283C4×D71—41no—
284C4×D71—41no—
285C8×C71—22no—
286C8×C71—22no—
287C8×C71—22no—
288C8×C71—22no—
289C71⋊C8—41no—
290C71⋊C8—41no—
291C71⋊C8—41no—
292C71⋊C8—41no—
293C22×C71—22no—
294C22×C71—22no—
295C22×C71—22no—
296C22×C71—41no—
297C22×C71—41no—
298C22×C71—41no—
299C22×C71—41no—
300C22×C71C2×#11711yescharacteristic
301C22×C71C2×C4×D411yescharacteristic
302C22×C71C4×#4111yescharacteristic
303C22×C71C2×#13111yescharacteristic
304C22×C71C2×#13111yescharacteristic
305C22×C71#56811yescharacteristic
306C22×C71#56811yescharacteristic
307C2×D71—41no—
308C2×D71—41no—
309C2×D71—41no—
310C2×D71—41no—
311C2×D71—41no—
312C2×D71—41no—
313C2×D71—41no—
314C4×C71—22no—
315C4×C71—22no—
316C4×C71—22no—
317C4×C71—41no—
318C4×C71—41no—
319C4×C71#52511yescharacteristic
320C4×C71#52511yescharacteristic
321C4×C71#52911yescharacteristic
322C4×C71#52911yescharacteristic
323Dic71—22no—
324Dic71—22no—
325Dic71—41no—
326Dic71—41no—
327Dic71—41no—
328Dic71—41no—
329Dic71—41no—
330#21111—711nomaximal, Sylow
331C2×C71—42no—
332C2×C71#229011yescharacteristic
333C2×C71#292411yescharacteristic
334C2×C71#292511yescharacteristic
335C2×C71#293511yescharacteristic
336C2×C71#293511yescharacteristic
337C2×C71#296611yescharacteristic
338C2×C71#296711yescharacteristic
339D71—81no—
340C2×#433—711no—
341C2×#405D7111yescharacteristic, complemented
342#2293—711no—
343#1924—711no—
344#1923—711no—
345#1917—711no—
346#1916—711no—
347#1870—711no—
348#1869—711no—
349#1851—711no—
350#1850—711no—
351C4×C4⋊C8—711no—
352#1750—711no—
353#1750—711no—
354#1745—711no—
355C71#2111111yescharacteristic, complemented, Sylow
356C22×M16C2×D7111yescharacteristic
357C23×C8C2×D7111yescharacteristic
358C2×C4×D4—711no—
359C2×#117—711no—
360C2×#117C2×D7111yescharacteristic
361#433—1424no—
362C2×C4⋊C8—711no—
363C2×C4⋊C8—711no—
364C2×C4⋊C8—711no—
365C2×C4⋊C8—711no—
366C2×C22⋊C8—711no—
367C2×C22⋊C8—711no—
368C2×C22⋊C8—711no—
369C2×C22⋊C8—711no—
370C2×C22⋊C8—711no—
371C2×C22⋊C8—711no—
372#405—24no—
373C2×#97—711no—
374C2×#97C2×D7111yescharacteristic
375C2×#97C2×D7111yescharacteristic
376C2×C4×C8—711no—
377C2×C4×C8C2×D7111yescharacteristic
378C2×C4×C8C2×D7111yescharacteristic
379#390—711no—
380#390—711no—
381#389—711no—
382#389—711no—
383#388—711no—
384#388—711no—
385#388—711no—
386#388—711no—
387C4×C4⋊C4—711no—
388C4×C22⋊C4—711no—
389C4×C22⋊C4—711no—
390C43—711no—
391#336—711no—
392#336—711no—
393#336—711no—
394#336—711no—
395#336—711no—
396#336—711no—
397#336—711no—
398#336—711no—
399#336—711no—
400#336—711no—
401C22×D4—711no—
402C23×C4—711no—
403C23×C4C22×D7111yescharacteristic
404C2×M16—22no—
405C2×M16—22no—
406C2×M16—22no—
407C22×C8—22no—
408C22×C8—22no—
409C22×C8—22no—
410C22×C8—711no—
411C22×C8—711no—
412C22×C8—711no—
413C22×C8—711no—
414C22×C8C22×D7111yescharacteristic
415C22×C8C22×D7111yescharacteristic
416C22×C8C22×D7111yescharacteristic
417C22×C8C22×D7111yescharacteristic
418C4×D4—1422no—
419C4×D4—1422no—
420#117—22no—
421#117—22no—
422#117—1422no—
423#117—1422no—
424C2×C4⋊C4—711no—
425C2×C4⋊C4—711no—
426C2×C4⋊C4—711no—
427C2×C4⋊C4—711no—
428C2×C4⋊C4—711no—
429C2×C4⋊C4C4×D7111yescharacteristic
430C2×C4⋊C4C4×D7111yescharacteristic
431C2×C22⋊C4—711no—
432C2×C22⋊C4—711no—
433C2×C22⋊C4—711no—
434C2×C22⋊C4—711no—
435C2×C22⋊C4—711no—
436C2×C22⋊C4—711no—
437C2×C22⋊C4—711no—
438C2×C22⋊C4—711no—
439C2×C22⋊C4C4×D7111yescharacteristic
440C2×C22⋊C4C4×D7111yescharacteristic
441C2×C42—711no—
442C2×C42—711no—
443C2×C42—711no—
444C2×C42—711no—
445C2×C42—711no—
446C2×C42—711no—
447C2×C42—711no—
448C2×C42C22×D7111yescharacteristic
449C2×C42C22×D7111yescharacteristic
450C4⋊C8—1422no—
451C4⋊C8—1422no—
452C4⋊C8—1422no—
453C4⋊C8—1422no—
454C22⋊C8—1422no—
455C22⋊C8—1422no—
456C22⋊C8—1422no—
457C22⋊C8—1422no—
458C22⋊C8—1422no—
459C22⋊C8—1422no—
460#97—22no—
461#97—1422no—
462#97C22⋊D7114yescomplemented
463C4×C8—22no—
464C4×C8—22no—
465C4×C8—1422no—
466#95—711no—
467#95—711no—
468#95—711no—
469#95—711no—
470#95—711no—
471#95—711no—
472C24—711no—
473C24C2×C4×D7111yescharacteristic
474C2×D4—2841no—
475C2×D4—1422no—
476C2×D4—1422no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—711no—
482C22×C4—711no—
483C22×C4—711no—
484C22×C4—711no—
485C22×C4—711no—
486C22×C4—711no—
487C22×C4—711no—
488C22×C4—1421no—
489C22×C4—1421no—
490C22×C4—1421no—
491C22×C4—1421no—
492C22×C4—1421no—
493C22×C4—1421no—
494C22×C4C2×C4×D7111yescharacteristic
495C22×C4C2×C4×D7111yescharacteristic
496C22×C4C2×C4×D7111yescharacteristic
497C22×C4C2×C4×D7111yescharacteristic
498C22×C4C2×C4×D7111yescharacteristic
499C22×C4#1176586512yes—
500C22×C4#1176586512yes—
501C22×C4C23×D7111yescharacteristic
502M16—28no—
503C2×C8—28no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—1421no—
513C2×C8—1421no—
514C2×C8—1421no—
515C2×C8—1421no—
516C2×C8—1421no—
517C2×C8—1421no—
518C2×C8—1421no—
519C2×C8—1421no—
520C2×C8—1421no—
521C2×C8—1421no—
522C2×C8—1421no—
523C2×C8—1421no—
524C2×C8C2×C22⋊D7112yes—
525C2×C8C2×C22⋊D7112yes—
526C2×C8#1176586512yes—
527C2×C8#1176586512yes—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—2841no—
531C4⋊C4—1422no—
532C4⋊C4—1422no—
533C4⋊C4—1422no—
534C4⋊C4—1422no—
535C22⋊C4—22no—
536C22⋊C4—22no—
537C22⋊C4—2841no—
538C22⋊C4—2841no—
539C22⋊C4—1422no—
540C22⋊C4—1422no—
541C22⋊C4—1422no—
542C22⋊C4—1422no—
543C22⋊C4—1422no—
544C22⋊C4—1422no—
545C42—21no—
546C42—21no—
547C42—2841no—
548C42—2841no—
549C42—1422no—
550C42—1422no—
551C42—1421no—
552C42—1421no—
553C42—1421no—
554C42—1421no—
555C42—1421no—
556C42—1421no—
557C42C2×C22⋊D7112yes—
558C42#1176586512yes—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—1421no—
566C23—1421no—
567C23—1421no—
568C23—1421no—
569C23—1421no—
570C23—1421no—
571C23—1421no—
572C23#1455608512yes—
573C23C22×C4×D7111yescharacteristic
574D4—2844no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—2841no—
592C2×C4—2841no—
593C2×C4—2841no—
594C2×C4—2841no—
595C2×C4—712no—
596C2×C4—712no—
597C2×C4—1421no—
598C2×C4—1421no—
599C2×C4—1421no—
600C2×C4—1421no—
601C2×C4—1421no—
602C2×C4—1421no—
603C2×C4—1421no—
604C2×C4—1421no—
605C2×C4—1421no—
606C2×C4—1421no—
607C2×C4—1421no—
608C2×C4—1421no—
609C2×C4—1421no—
610C2×C4—1421no—
611C2×C4—1421no—
612C2×C4—1421no—
613C2×C4—1421no—
614C2×C4—1421no—
615C2×C4—1421no—
616C2×C4#1455608512yes—
617C2×C4C4×C22⋊D7112yes—
618C2×C4C4×C22⋊D7112yes—
619C2×C4C22×C22⋊D7111yescharacteristic
620C2×C4C2×#1176586511yescharacteristic
621C2×C4C2×#1176586511yescharacteristic
622C2×C4C2×#1176586511yescharacteristic
623C2×C4C2×#1176586511yescharacteristic
624C2×C4C2×#1176586511yescharacteristic
625C8—22no—
626C8—22no—
627C8—22no—
628C8—22no—
629C8—2841no—
630C8—2841no—
631C8—2841no—
632C8—2841no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—2841no—
641C22—2841no—
642C22—2841no—
643C22—2841no—
644C22—2841no—
645C22—2841no—
646C22—2841no—
647C22C2×#1455608511yescharacteristic
648C22C2×C4×C22⋊D7111yescharacteristic
649C22C4×#1176586511yescharacteristic
650C22#131×D7111yescharacteristic
651C22#131×D7111yescharacteristic
652C22#1798676411yescharacteristic
653C22#1798676411yescharacteristic
654C4—22no—
655C4—22no—
656C4—22no—
657C4—41no—
658C4—41no—
659C4—2841no—
660C4—2841no—
661C4—2841no—
662C4—2841no—
663C4—2841no—
664C4—1422no—
665C4—1422no—
666C4#1798651011yescharacteristic
667C4#1798651011yescharacteristic
668C4#1798653311yescharacteristic
669C4#1798653311yescharacteristic
670C2—42no—
671C2—5681no—
672C2#2259078311yescharacteristic
673C2#2259699511yescharacteristic
674C2#2259700411yescharacteristic
675C2#2259708211yescharacteristic
676C2#2259708211yescharacteristic
677C2#2259731111yescharacteristic
678C2#2259732111yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D71
commutator, socleC23×C71C23×C4
FittingC2×#405×C71C2
prime radicalC22×C22⋊D71C2×C4
cosocleC22×C4×C71C24
hypercenterC2×#405D71
hypocenterC71#21111
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ C2×#405

Complements

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

NH ≅ G/Ntype
1. C2×#17986061C2semidirect
3. #22588953C2semidirect
4. #22588946C2semidirect
5. #22588904C2semidirect
6. #22588897C2semidirect
9. #22588523C2semidirect
10. #22588518C2semidirect
11. C4×Dic71⋊C8C2semidirect
12. #22588107C2semidirect
13. #22588106C2semidirect
14. #22588088C2semidirect
15. C2×#405×C71C2semidirect
129. #97×C71D4semidirect
341. C2×#405D71semidirect
355. C71#21111semidirect
462. #97C22⋊D71semidirect

Maximal subgroups

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

subgroupindex
C2×#179860612
#225907992
#225889532
#225889462
#225889042
#225888972
#225886372
#225886322
#225885232
#225885182
C4×Dic71⋊C82
#225881072
#225881062
#225880882
C2×#405×C712
#2111171