Finite Group Databasebeta

← #32017104

Subgroups — #32017104

Order 18176.

808 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986059C211yesmaximal, characteristic, complemented
2#22590799C211yesmaximal, characteristic
3#22589136C211yesmaximal, characteristic
4#22589136C211yesmaximal, characteristic
5#22588953C211yesmaximal, characteristic, complemented
6#22588950C211yesmaximal, characteristic, complemented
7#22588946C211yesmaximal, characteristic, complemented
8#22588943C211yesmaximal, characteristic, complemented
9#22588491C211yesmaximal, characteristic, complemented
10#22588324C211yesmaximal, characteristic, complemented
11#22588321C211yesmaximal, characteristic, complemented
12#22588216C211yesmaximal, characteristic, complemented
13#22588214C211yesmaximal, characteristic, complemented
14#22588195C211yesmaximal, characteristic, complemented
15C2×#433×C71C211yesmaximal, characteristic, complemented
16C2×C4×C22⋊D71C2211yescharacteristic
17C2×#14556085C2211yescharacteristic
18#17986059—24no—
19C2×C4⋊(C71⋊C8)C2211yescharacteristic
20C2×C4⋊(C71⋊C8)C2211yescharacteristic
21C2×Dic71⋊C8C2211yescharacteristic
22C2×Dic71⋊C8C2211yescharacteristic
23C2×Dic71⋊C8C2211yescharacteristic
24C2×Dic71⋊C8C2211yescharacteristic
25C2×C22⋊(C71⋊C8)C2211yescharacteristic
26C2×C22⋊(C71⋊C8)C2211yescharacteristic
27C2×(C2×D71)⋊C8C2211yescharacteristic
28C2×(C2×D71)⋊C8C2211yescharacteristic
29C2×(C2×D71)⋊C8C2211yescharacteristic
30C2×(C2×D71)⋊C8C2211yescharacteristic
31C2×#14556038C2211yescharacteristic
32C2×#14556038C2211yescharacteristic
33C2×#14556038C2211yescharacteristic
34C2×C8×Dic71C2211yescharacteristic
35#17985899C411yescharacteristic
36#17985899C411yescharacteristic
37#17985894C411yescharacteristic
38#17985894C411yescharacteristic
39#17985893C411yescharacteristic
40#17985893C411yescharacteristic
41#17985889C411yescharacteristic
42#17985889C411yescharacteristic
43C4×Dic71⋊C4C2211yescharacteristic
44C4×(C2×D71)⋊C4C2211yescharacteristic
45C4×C22⋊Dic71C2211yescharacteristic
46C42×Dic71C2211yescharacteristic
47#17985754C2211yescharacteristic
48#17985754C2211yescharacteristic
49#17985753C2211yescharacteristic
50#17985753C2211yescharacteristic
51#17985753C2211yescharacteristic
52#17985753C2211yescharacteristic
53C2×#117×C71C2211yescharacteristic
54#433×C71—24no—
55C2×C4⋊C8×C71C2211yescharacteristic
56C2×C4⋊C8×C71C2211yescharacteristic
57C2×C22⋊C8×C71C2211yescharacteristic
58C2×C22⋊C8×C71C2211yescharacteristic
59C2×#97×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
91C4⋊(C71⋊C8)—22no—
92C4⋊(C71⋊C8)—22no—
93Dic71⋊C8—22no—
94Dic71⋊C8—22no—
95Dic71⋊C8—41no—
96Dic71⋊C8—41no—
97C22⋊(C71⋊C8)—41no—
98C22⋊(C71⋊C8)—41no—
99(C2×D71)⋊C8—22no—
100(C2×D71)⋊C8—22no—
101(C2×D71)⋊C8—41no—
102(C2×D71)⋊C8—41no—
103#14556038—22no—
104#14556038—22no—
105#14556038—22no—
106C8×Dic71—22no—
107C71⋊#95C2×C411yescharacteristic
108C71⋊#95C2×C411yescharacteristic
109C71⋊#95C2×C411yescharacteristic
110C71⋊#95C2×C411yescharacteristic
111C71⋊#95C2×C411yescharacteristic
112C71⋊#95C2×C411yescharacteristic
113C23×C4×C71C2311yescharacteristic
114C22×C8×C71C2311yescharacteristic
115C22×C8×C71C2311yescharacteristic
116C22×C8×C71C2311yescharacteristic
117C22×C8×C71C2311yescharacteristic
118#117×C71—22no—
119#117×C71—22no—
120C2×C4⋊C4×C71C2×C411yescharacteristic
121C2×C4⋊C4×C71C2×C411yescharacteristic
122C2×C22⋊C4×C71C2×C411yescharacteristic
123C2×C22⋊C4×C71C2×C411yescharacteristic
124C2×C42×C71C2311yescharacteristic
125C2×C42×C71C2311yescharacteristic
126C4⋊C8×C71—22no—
127C4⋊C8×C71D414yescomplemented
128C22⋊C8×C71—22no—
129C22⋊C8×C71—22no—
130#97×C71—22no—
131C4×C8×C71—22no—
132C23×D71C22×C411yescharacteristic
133C2×C22⋊D71—22no—
134C2×C22⋊D71—41no—
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—41no—
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—22no—
179C4×Dic71—41no—
180C4×Dic71—41no—
181C4×Dic71—41no—
182C4×Dic71#4112yes—
183C4×Dic71#4112yes—
184C24×C71C22×C411yescharacteristic
185C22×C4×C71—21no—
186C22×C4×C71—21no—
187C22×C4×C71—21no—
188C22×C4×C71—21no—
189C22×C4×C71—21no—
190C22×C4×C71—21no—
191C22×C4×C71C22×C411yescharacteristic
192C22×C4×C71C22×C411yescharacteristic
193C22×C4×C71C22×C411yescharacteristic
194C22×C4×C71C22×C411yescharacteristic
195C22×C4×C71C22×C411yescharacteristic
196C22×C4×C71C2411yescharacteristic
197C2×C8×C71—21no—
198C2×C8×C71—21no—
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—
209C4⋊C4×C71—22no—
210C4⋊C4×C71—22no—
211C22⋊C4×C71—22no—
212C22⋊C4×C71—22no—
213C42×C71—21no—
214C42×C71—21no—
215C42×C71C2×D412yes—
216C42×C71#4112yes—
217C23×C71—21no—
218C23×C71—21no—
219C23×C71—21no—
220C23×C71—21no—
221C23×C71—21no—
222C23×C71—21no—
223C23×C71—21no—
224C23×C71C23×C411yescharacteristic
225C22×D71—21no—
226C22×D71—21no—
227C22×D71—21no—
228C22×D71—21no—
229C22×D71—21no—
230C22×D71—21no—
231C22×D71—21no—
232C2×C4×C71—21no—
233C2×C4×C71—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—21no—
241C2×C4×C71—21no—
242C2×C4×C71—21no—
243C2×C4×C71—21no—
244C2×C4×C71—21no—
245C2×C4×C71—41no—
246C2×C4×C71—41no—
247C2×C4×C71—41no—
248C2×C4×C71—41no—
249C2×C4×C71C4×D412yes—
250C2×C4×C71C4×D412yes—
251C2×C4×C71C22×D411yescharacteristic
252C2×C4×C71C2×#4111yescharacteristic
253C2×C4×C71C2×#4111yescharacteristic
254C2×C4×C71C2×#4111yescharacteristic
255C2×C4×C71H(5,𝔽2)11yescharacteristic
256C2×C4×C712−1+411yescharacteristic
257C22⋊D71—44no—
258C2×Dic71—21no—
259C2×Dic71—21no—
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#11712yes—
277C2×Dic71#11712yes—
278C2×Dic71#13112yes—
279C4×D71—41no—
280C4×D71—41no—
281C4×D71—41no—
282C4×D71—41no—
283C8×C71—22no—
284C8×C71—22no—
285C8×C71—41no—
286C8×C71—41no—
287C71⋊C8—41no—
288C71⋊C8—41no—
289C71⋊C8—41no—
290C71⋊C8—41no—
291C22×C71—41no—
292C22×C71—41no—
293C22×C71—41no—
294C22×C71—41no—
295C22×C71—41no—
296C22×C71—41no—
297C22×C71—41no—
298C22×C71C2×#11711yescharacteristic
299C22×C71C2×C4×D411yescharacteristic
300C22×C71#52011yescharacteristic
301C22×C71C2×#13111yescharacteristic
302C22×C71#56811yescharacteristic
303C22×C71#56811yescharacteristic
304C22×C71#56811yescharacteristic
305C2×D71—41no—
306C2×D71—41no—
307C2×D71—41no—
308C2×D71—41no—
309C2×D71—41no—
310C2×D71—41no—
311C2×D71—41no—
312C4×C71—22no—
313C4×C71—22no—
314C4×C71—41no—
315C4×C71—41no—
316C4×C71—41no—
317C4×C71#54711yescharacteristic
318C4×C71#55011yescharacteristic
319C4×C71#55511yescharacteristic
320C4×C71#55611yescharacteristic
321Dic71—22no—
322Dic71—22no—
323Dic71—22no—
324Dic71—41no—
325Dic71—41no—
326Dic71—41no—
327Dic71—41no—
328#22798—711nomaximal, Sylow
329C2×C71—81no—
330C2×C71#235411yescharacteristic
331C2×C71#292111yescharacteristic
332C2×C71#292511yescharacteristic
333C2×C71#293211yescharacteristic
334C2×C71#293511yescharacteristic
335C2×C71#299211yescharacteristic
336C2×C71#299511yescharacteristic
337D71—81no—
338C2×#433—711no—
339C2×#433D7111yescharacteristic, complemented
340#2293—711no—
341#1955—711no—
342#1955—711no—
343#1924—711no—
344#1924—711no—
345#1923—711no—
346#1923—711no—
347#1842—711no—
348#1798—711no—
349#1798—711no—
350#1771—711no—
351#1771—711no—
352#1767—711no—
353C71#2279811yescharacteristic, complemented, Sylow
354C2×C4×D4—711no—
355C2×#117—711no—
356C2×#117C2×D7111yescharacteristic
357#433—24no—
358#433—1424no—
359C2×C4⋊C8—711no—
360C2×C4⋊C8—711no—
361C2×C4⋊C8—711no—
362C2×C4⋊C8—711no—
363C2×C4⋊C8—711no—
364C2×C4⋊C8—711no—
365C2×C4⋊C8C2×D7111yescharacteristic
366C2×C4⋊C8C2×D7111yescharacteristic
367C2×C22⋊C8—711no—
368C2×C22⋊C8—711no—
369C2×C22⋊C8—711no—
370C2×C22⋊C8—711no—
371C2×C22⋊C8—711no—
372C2×C22⋊C8—711no—
373C2×C22⋊C8C2×D7111yescharacteristic
374C2×C22⋊C8C2×D7111yescharacteristic
375C2×#97—711no—
376C2×#97—711no—
377C2×#97—711no—
378C2×#97C2×D7111yescharacteristic
379C2×C4×C8—711no—
380C2×C4×C8C2×D7111yescharacteristic
381#390—711no—
382#390—711no—
383#389—711no—
384#389—711no—
385#388—711no—
386#388—711no—
387#388—711no—
388#388—711no—
389C4×C4⋊C4—711no—
390C4×C22⋊C4—711no—
391C4×C22⋊C4—711no—
392C43—711no—
393#336—711no—
394#336—711no—
395#336—711no—
396#336—711no—
397#336—711no—
398#336—711no—
399C22×D4—711no—
400C23×C4—711no—
401C23×C4C22×D7111yescharacteristic
402C22×C8—711no—
403C22×C8—711no—
404C22×C8—711no—
405C22×C8—711no—
406C22×C8C22×D7111yescharacteristic
407C22×C8C22×D7111yescharacteristic
408C22×C8C22×D7111yescharacteristic
409C22×C8C22×D7111yescharacteristic
410C4×D4—1422no—
411C4×D4—1422no—
412#117—22no—
413#117—22no—
414#117—1422no—
415#117—1422no—
416C2×C4⋊C4—711no—
417C2×C4⋊C4—711no—
418C2×C4⋊C4—711no—
419C2×C4⋊C4—711no—
420C2×C4⋊C4—711no—
421C2×C4⋊C4C4×D7111yescharacteristic
422C2×C4⋊C4C4×D7111yescharacteristic
423C2×C22⋊C4—711no—
424C2×C22⋊C4—711no—
425C2×C22⋊C4—711no—
426C2×C22⋊C4—711no—
427C2×C22⋊C4—711no—
428C2×C22⋊C4—711no—
429C2×C22⋊C4—711no—
430C2×C22⋊C4—711no—
431C2×C22⋊C4C4×D7111yescharacteristic
432C2×C22⋊C4C4×D7111yescharacteristic
433C2×C42—711no—
434C2×C42—711no—
435C2×C42—711no—
436C2×C42—711no—
437C2×C42—711no—
438C2×C42—711no—
439C2×C42—711no—
440C2×C42C22×D7111yescharacteristic
441C2×C42C22×D7111yescharacteristic
442C4⋊C8—22no—
443C4⋊C8—2841no—
444C4⋊C8—2841no—
445C4⋊C8—1422no—
446C4⋊C8—1422no—
447C4⋊C8—1422no—
448C4⋊C8—1422no—
449C4⋊C8C22⋊D7114yescomplemented
450C22⋊C8—22no—
451C22⋊C8—22no—
452C22⋊C8—2841no—
453C22⋊C8—2841no—
454C22⋊C8—2841no—
455C22⋊C8—2841no—
456C22⋊C8—1422no—
457C22⋊C8—1422no—
458#97—22no—
459#97—1422no—
460#97—1422no—
461#97—1422no—
462C4×C8—22no—
463C4×C8—1422no—
464#95—711no—
465#95—711no—
466#95—711no—
467#95—711no—
468#95—711no—
469#95—711no—
470C24—711no—
471C24C2×C4×D7111yescharacteristic
472C2×D4—2841no—
473C2×D4—2841no—
474C2×D4—1422no—
475C22×C4—21no—
476C22×C4—21no—
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×C4C23×D7111yescharacteristic
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—1421no—
511C2×C8—1421no—
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×C8C2×C22⋊D7112yes—
523C2×C8C2×C22⋊D7112yes—
524C4⋊C4—22no—
525C4⋊C4—22no—
526C4⋊C4—2841no—
527C4⋊C4—2841no—
528C4⋊C4—1422no—
529C4⋊C4—1422no—
530C4⋊C4—1422no—
531C22⋊C4—22no—
532C22⋊C4—22no—
533C22⋊C4—2841no—
534C22⋊C4—2841no—
535C22⋊C4—1422no—
536C22⋊C4—1422no—
537C22⋊C4—1422no—
538C22⋊C4—1422no—
539C22⋊C4—1422no—
540C22⋊C4—1422no—
541C42—21no—
542C42—21no—
543C42—2841no—
544C42—2841no—
545C42—2841no—
546C42—712no—
547C42—712no—
548C42—1422no—
549C42—1421no—
550C42—1421no—
551C42—1421no—
552C42—1421no—
553C42C2×C22⋊D7112yes—
554C42#1176586512yes—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—1421no—
563C23—1421no—
564C23—1421no—
565C23—1421no—
566C23—1421no—
567C23—1421no—
568C23—1421no—
569C23C22×C4×D7111yescharacteristic
570D4—2844no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—2841no—
589C2×C4—2841no—
590C2×C4—2841no—
591C2×C4—2841no—
592C2×C4—712no—
593C2×C4—712no—
594C2×C4—712no—
595C2×C4—1421no—
596C2×C4—1421no—
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×C4C4×C22⋊D7112yes—
614C2×C4C4×C22⋊D7112yes—
615C2×C4C22×C22⋊D7111yescharacteristic
616C2×C4#41×D7111yescharacteristic
617C2×C4#41×D7111yescharacteristic
618C2×C4C2×#1176586511yescharacteristic
619C2×C4#1455617411yescharacteristic
620C2×C4#1455617511yescharacteristic
621C8—22no—
622C8—22no—
623C8—41no—
624C8—41no—
625C8—2841no—
626C8—2841no—
627C8—2841no—
628C8—2841no—
629C22—41no—
630C22—41no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—2841no—
637C22—2841no—
638C22—2841no—
639C22—2841no—
640C22—2841no—
641C22—2841no—
642C22—2841no—
643C22#117×D7111yescharacteristic
644C22C2×C4×C22⋊D7111yescharacteristic
645C22#1798647911yescharacteristic
646C22#131×D7111yescharacteristic
647C22#1798676411yescharacteristic
648C22#1798676411yescharacteristic
649C22#1798676411yescharacteristic
650C4—22no—
651C4—22no—
652C4—41no—
653C4—41no—
654C4—41no—
655C4—2841no—
656C4—2841no—
657C4—2841no—
658C4—2841no—
659C4—1422no—
660C4—1422no—
661C4—1422no—
662C4#1798664811yescharacteristic
663C4#1798666811yescharacteristic
664C4#1798671211yescharacteristic
665C4#1798671711yescharacteristic
666C2—81no—
667C2—5681no—
668C2#2259129011yescharacteristic
669C2#2259697411yescharacteristic
670C2#2259700311yescharacteristic
671C2#2259705611yescharacteristic
672C2#2259708211yescharacteristic
673C2#2259747411yescharacteristic
674C2#2259750511yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D71
commutator, socleC23×C71C23×C4
FittingC2×#433×C71C2
prime radicalC22×C22⋊D71C2×C4
cosocleC22×C4×C71C24
hypercenterC2×#433D71
hypocenterC71#22798
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
1. C2×#17986059C2semidirect
5. #22588953C2semidirect
6. #22588950C2semidirect
7. #22588946C2semidirect
8. #22588943C2semidirect
9. #22588491C2semidirect
10. #22588324C2semidirect
11. #22588321C2semidirect
12. #22588216C2semidirect
13. #22588214C2semidirect
14. #22588195C2semidirect
15. C2×#433×C71C2semidirect
127. C4⋊C8×C71D4semidirect
339. C2×#433D71semidirect
353. C71#22798semidirect
449. C4⋊C8C22⋊D71semidirect

Maximal subgroups

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

subgroupindex
C2×#179860592
#225907992
#225891362
#225889532
#225889502
#225889462
#225889432
#225884912
#225883242
#225883212
#225882162
#225882142
#225881952
C2×#433×C712
#2279871