Finite Group Databasebeta

← C7×#25957 #13203173

Subgroups — C7×#25957 #13203173

Order 1792.

946 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#479C211yesmaximal, characteristic, complemented
2C22×C7×#103C211yesmaximal, characteristic
3C7×#2442C211yesmaximal, characteristic
4C7×Q8×C22⋊C4C211yesmaximal, characteristic
5C7×#2097C211yesmaximal, characteristic, complemented
6C7×#2068C211yesmaximal, characteristic, complemented
7C7×#2066C211yesmaximal, characteristic, complemented
8C7×#2026C211yesmaximal, characteristic, complemented
9C7×#1865C211yesmaximal, characteristic, complemented
10C7×#1863C211yesmaximal, characteristic, complemented
11C7×#1852C211yesmaximal, characteristic
12C7×#1850C211yesmaximal, characteristic
13C7×#1807C211yesmaximal, characteristic
14C7×#1805C211yesmaximal, characteristic, complemented
15C7×#1787C211yesmaximal, characteristic
16C23×C7×Q8C2211yescharacteristic
17C23×C7×C8C2211yescharacteristic
18C2×C7×#125C2211yescharacteristic
19C2×C4×C7×Q8C2211yescharacteristic
20C2×C4×C7×Q8C2211yescharacteristic
21C22×C7×C4⋊C4C2211yescharacteristic
22C7×#479—24no—
23C2×C7×#107C2211yescharacteristic
24C2×C7×#107C2211yescharacteristic
25C2×C7×#106C2211yescharacteristic
26C2×C7×#106C2211yescharacteristic
27C2×C7×C4⋊C8C2211yescharacteristic
28C2×C7×C4⋊C8C2211yescharacteristic
29C2×C7×#103—24no—
30C2×C7×#103C2211yescharacteristic
31C2×C7×#103C2211yescharacteristic
32C2×C7×#103C2211yescharacteristic
33C2×C7×#103C2211yescharacteristic
34C2×C7×#103C2211yescharacteristic
35C2×C7×#103C2211yescharacteristic
36C2×C7×#103C2211yescharacteristic
37C2×C7×#103C2211yescharacteristic
38C2×C7×C22⋊C8C2211yescharacteristic
39C7×#400—21no—
40C7×#398—21no—
41C7×#391—21no—
42C7×#391—21no—
43C7×#391C2211yescharacteristic
44C7×#391C2211yescharacteristic
45C7×#389C2211yescharacteristic
46C7×#389C2211yescharacteristic
47C7×#385—21no—
48C7×#382C2211yescharacteristic
49C7×#380—21no—
50C7×#380—21no—
51C7×#380C2211yescharacteristic
52C7×#380C2211yescharacteristic
53C4×C7×C22⋊C4—21no—
54C4×C7×C22⋊C4C2211yescharacteristic
55C7×#340C2211yescharacteristic
56C7×#340C2211yescharacteristic
57C7×#340C2211yescharacteristic
58C7×#340C2211yescharacteristic
59C7×#336C2211yescharacteristic
60C7×#336C2211yescharacteristic
61#25957C711yesmaximal, characteristic, direct product factor, Sylow
62C22×C7×Q8—21no—
63C22×C7×Q8—22no—
64C22×C7×Q8—22no—
65C22×C7×Q8—22no—
66C22×C7×Q8—41no—
67C22×C7×Q8—41no—
68C22×C7×Q8Q814yes—
69C22×C7×Q8C2311yescharacteristic
70C22×C7×Q8C2311yescharacteristic
71C23×C4×C7—21no—
72C23×C4×C7—21no—
73C23×C4×C7C2311yescharacteristic
74C22×C7×C8—22no—
75C22×C7×C8—22no—
76C22×C7×C8—41no—
77C22×C7×C8C2311yescharacteristic
78C22×C7×C8C2311yescharacteristic
79C22×C7×C8C2311yescharacteristic
80C22×C7×C8C2311yescharacteristic
81C7×#125—22no—
82C7×#125—41no—
83C4×C7×Q8—22no—
84C4×C7×Q8—22no—
85C4×C7×Q8—41no—
86C4×C7×Q8—41no—
87C2×C7×C4⋊C4—22no—
88C2×C7×C4⋊C4—21no—
89C2×C7×C4⋊C4—21no—
90C2×C7×C4⋊C4—21no—
91C2×C7×C4⋊C4—21no—
92C2×C7×C4⋊C4—21no—
93C2×C7×C4⋊C4—21no—
94C2×C7×C4⋊C4—21no—
95C2×C7×C4⋊C4—41no—
96C2×C7×C4⋊C4C2311yescharacteristic
97C2×C7×C4⋊C4C2311yescharacteristic
98C2×C7×C4⋊C4C2311yescharacteristic
99C2×C7×C4⋊C4C2311yescharacteristic
100C2×C7×C4⋊C4C2311yescharacteristic
101C2×C7×C4⋊C4C2311yescharacteristic
102C2×C7×C22⋊C4—21no—
103C2×C7×C22⋊C4—21no—
104C2×C7×C22⋊C4D411yescharacteristic
105C2×C7×C22⋊C4D411yescharacteristic
106C2×C42×C7—21no—
107C2×C42×C7—21no—
108C2×C42×C7C2311yescharacteristic
109C2×C42×C7C2311yescharacteristic
110C7×#107—22no—
111C7×#107—41no—
112C7×#106—22no—
113C7×#106—41no—
114C7×C4⋊C8—22no—
115C7×C4⋊C8—41no—
116C7×#103—22no—
117C7×#103—22no—
118C7×#103—22no—
119C7×#103—22no—
120C7×#103—22no—
121C7×#103—41no—
122C7×#103—41no—
123C7×#103D414yes—
124C7×C22⋊C8—22no—
125C7×#95—21no—
126C7×#95—21no—
127C7×#95—21no—
128C7×#95—21no—
129C7×#95—21no—
130C7×#95—21no—
131C7×#95—21no—
132C7×#95—21no—
133C7×#95—21no—
134C7×#95—21no—
135C7×#95D411yescharacteristic
136C7×#95D411yescharacteristic
137C2×#479C2×C711yescharacteristic, complemented
138C22×#103C2×C711yescharacteristic
139#2442C2×C711yescharacteristic
140Q8×C22⋊C4C2×C711yescharacteristic
141#2097C2×C711yescharacteristic, complemented
142#2068C2×C711yescharacteristic, complemented
143#2066C2×C711yescharacteristic, complemented
144#2026C2×C711yescharacteristic, complemented
145#1865C2×C711yescharacteristic, complemented
146#1863C2×C711yescharacteristic, complemented
147#1852C2×C711yescharacteristic
148#1850C2×C711yescharacteristic
149#1807C2×C711yescharacteristic
150#1805C2×C711yescharacteristic, complemented
151#1787C2×C711yescharacteristic
152C24×C7C2×D411yescharacteristic
153C2×C7×Q8—24no—
154C2×C7×Q8—21no—
155C2×C7×Q8—21no—
156C2×C7×Q8—21no—
157C2×C7×Q8—21no—
158C2×C7×Q8—28no—
159C2×C7×Q8—21no—
160C2×C7×Q8—21no—
161C2×C7×Q8—21no—
162C2×C7×Q8—21no—
163C2×C7×Q8—42no—
164C2×C7×Q8—42no—
165C2×C7×Q8—44no—
166C2×C7×Q8—44no—
167C2×C7×Q8—44no—
168C2×C7×Q8C2×D412yes—
169C2×C7×Q8C2×Q812yes—
170C2×C7×Q8C2×Q812yes—
171C2×C7×Q8#4112yes—
172C22×C4×C7—21no—
173C22×C4×C7—21no—
174C22×C4×C7—21no—
175C22×C4×C7—21no—
176C22×C4×C7—21no—
177C22×C4×C7—24no—
178C22×C4×C7—21no—
179C22×C4×C7—21no—
180C22×C4×C7—21no—
181C22×C4×C7—21no—
182C22×C4×C7—21no—
183C22×C4×C7—21no—
184C22×C4×C7—21no—
185C22×C4×C7—42no—
186C22×C4×C7—42no—
187C22×C4×C7—42no—
188C22×C4×C7—42no—
189C22×C4×C7—81no—
190C22×C4×C7C2×D411yescharacteristic
191C22×C4×C7C2×D411yescharacteristic
192C22×C4×C7C2×D411yescharacteristic
193C22×C4×C7C2×D411yescharacteristic
194C22×C4×C7C2×D411yescharacteristic
195C22×C4×C7C2×Q812yes—
196C22×C4×C7#4112yes—
197C22×C4×C7C2411yescharacteristic
198C2×C7×C8—21no—
199C2×C7×C8—21no—
200C2×C7×C8—21no—
201C2×C7×C8—21no—
202C2×C7×C8—21no—
203C2×C7×C8—21no—
204C2×C7×C8—21no—
205C2×C7×C8—21no—
206C2×C7×C8—21no—
207C2×C7×C8—21no—
208C2×C7×C8—21no—
209C2×C7×C8—44no—
210C2×C7×C8C2×D412yes—
211C7×C4⋊C4—21no—
212C7×C4⋊C4—21no—
213C7×C4⋊C4—21no—
214C7×C4⋊C4—21no—
215C7×C4⋊C4—21no—
216C7×C4⋊C4—21no—
217C7×C4⋊C4—21no—
218C7×C4⋊C4—21no—
219C7×C4⋊C4—21no—
220C7×C4⋊C4—21no—
221C7×C4⋊C4—21no—
222C7×C4⋊C4—42no—
223C7×C4⋊C4—42no—
224C7×C4⋊C4—42no—
225C7×C4⋊C4—42no—
226C7×C4⋊C4—42no—
227C7×C4⋊C4—81no—
228C7×C4⋊C4—81no—
229C7×C4⋊C4C2×D412yes—
230C7×C22⋊C4—22no—
231C7×C22⋊C4—22no—
232C7×C22⋊C4—42no—
233C7×C22⋊C4—42no—
234C42×C7—21no—
235C42×C7—21no—
236C42×C7—21no—
237C42×C7—21no—
238C42×C7—42no—
239C42×C7—42no—
240C23×Q8C22×C711yescharacteristic
241C23×C8C22×C711yescharacteristic
242C2×#125C22×C711yescharacteristic
243C2×C4×Q8C22×C711yescharacteristic
244C2×C4×Q8C22×C711yescharacteristic
245C22×C4⋊C4C22×C711yescharacteristic
246#479—24no—
247C2×#107C22×C711yescharacteristic
248C2×#107C22×C711yescharacteristic
249C2×#106C22×C711yescharacteristic
250C2×#106C22×C711yescharacteristic
251C2×C4⋊C8C22×C711yescharacteristic
252C2×C4⋊C8C22×C711yescharacteristic
253C2×#103—24no—
254C2×#103C22×C711yescharacteristic
255C2×#103C22×C711yescharacteristic
256C2×#103C22×C711yescharacteristic
257C2×#103C22×C711yescharacteristic
258C2×#103C22×C711yescharacteristic
259C2×#103C22×C711yescharacteristic
260C2×#103C22×C711yescharacteristic
261C2×#103C22×C711yescharacteristic
262C2×C22⋊C8C22×C711yescharacteristic
263#400—21no—
264#398—21no—
265#391—21no—
266#391—21no—
267#391C22×C711yescharacteristic
268#391C22×C711yescharacteristic
269#389C22×C711yescharacteristic
270#389C22×C711yescharacteristic
271#385—21no—
272#382C22×C711yescharacteristic
273#380—21no—
274#380—21no—
275#380C22×C711yescharacteristic
276#380C22×C711yescharacteristic
277C4×C22⋊C4—21no—
278C4×C22⋊C4C22×C711yescharacteristic
279#340C22×C711yescharacteristic
280#340C22×C711yescharacteristic
281#340C22×C711yescharacteristic
282#340C22×C711yescharacteristic
283#336C22×C711yescharacteristic
284#336C22×C711yescharacteristic
285C23×C7—21no—
286C23×C7—21no—
287C23×C7—21no—
288C23×C7—21no—
289C23×C7C22⋊Q812yes—
290C23×C7#13512yes—
291C23×C7#13712yes—
292C23×C7C22×D411yescharacteristic
293C7×Q8—22no—
294C7×Q8—22no—
295C7×Q8—22no—
296C7×Q8—22no—
297C7×Q8—22no—
298C7×Q8—48no—
299C7×Q8—41no—
300C7×Q8—41no—
301C7×Q8C22⋊Q814yes—
302C2×C4×C7—22no—
303C2×C4×C7—22no—
304C2×C4×C7—21no—
305C2×C4×C7—22no—
306C2×C4×C7—21no—
307C2×C4×C7—22no—
308C2×C4×C7—22no—
309C2×C4×C7—22no—
310C2×C4×C7—22no—
311C2×C4×C7—22no—
312C2×C4×C7—21no—
313C2×C4×C7—21no—
314C2×C4×C7—22no—
315C2×C4×C7—21no—
316C2×C4×C7—21no—
317C2×C4×C7—21no—
318C2×C4×C7—21no—
319C2×C4×C7—21no—
320C2×C4×C7—21no—
321C2×C4×C7—21no—
322C2×C4×C7—21no—
323C2×C4×C7—21no—
324C2×C4×C7—21no—
325C2×C4×C7—48no—
326C2×C4×C7—41no—
327C2×C4×C7—41no—
328C2×C4×C7—41no—
329C2×C4×C7—41no—
330C2×C4×C7—41no—
331C2×C4×C7—41no—
332C2×C4×C7—41no—
333C2×C4×C7—41no—
334C2×C4×C7—41no—
335C2×C4×C7—41no—
336C2×C4×C7—41no—
337C2×C4×C7—41no—
338C2×C4×C7—41no—
339C2×C4×C7—41no—
340C2×C4×C7—41no—
341C2×C4×C7—41no—
342C2×C4×C7—41no—
343C2×C4×C7—41no—
344C2×C4×C7—41no—
345C2×C4×C7—84no—
346C2×C4×C7C22⋊Q812yes—
347C2×C4×C7C22×D411yescharacteristic
348C2×C4×C7C22×Q811yescharacteristic
349C2×C4×C7C2×#4111yescharacteristic
350C2×C4×C7C2×#4111yescharacteristic
351C2×C4×C7H(5,𝔽2)11yescharacteristic
352C2×C4×C7H(5,𝔽2)11yescharacteristic
353C7×C8—22no—
354C7×C8—41no—
355C7×C8—41no—
356C7×C8—41no—
357C22×Q8—21no—
358C22×Q8—22no—
359C22×Q8—22no—
360C22×Q8—22no—
361C22×Q8—41no—
362C22×Q8—41no—
363C22×Q8C7×Q814yes—
364C22×Q8C23×C711yescharacteristic
365C22×Q8C23×C711yescharacteristic
366C23×C4—21no—
367C23×C4—21no—
368C23×C4C23×C711yescharacteristic
369C22×C8—22no—
370C22×C8—22no—
371C22×C8—41no—
372C22×C8C23×C711yescharacteristic
373C22×C8C23×C711yescharacteristic
374C22×C8C23×C711yescharacteristic
375C22×C8C23×C711yescharacteristic
376#125—22no—
377#125—41no—
378C4×Q8—22no—
379C4×Q8—22no—
380C4×Q8—41no—
381C4×Q8—41no—
382C2×C4⋊C4—22no—
383C2×C4⋊C4—21no—
384C2×C4⋊C4—21no—
385C2×C4⋊C4—21no—
386C2×C4⋊C4—21no—
387C2×C4⋊C4—21no—
388C2×C4⋊C4—21no—
389C2×C4⋊C4—21no—
390C2×C4⋊C4—41no—
391C2×C4⋊C4C23×C711yescharacteristic
392C2×C4⋊C4C23×C711yescharacteristic
393C2×C4⋊C4C23×C711yescharacteristic
394C2×C4⋊C4C23×C711yescharacteristic
395C2×C4⋊C4C23×C711yescharacteristic
396C2×C4⋊C4C23×C711yescharacteristic
397C2×C22⋊C4—21no—
398C2×C22⋊C4—21no—
399C2×C22⋊C4C7×D411yescharacteristic
400C2×C22⋊C4C7×D411yescharacteristic
401C2×C42—21no—
402C2×C42—21no—
403C2×C42C23×C711yescharacteristic
404C2×C42C23×C711yescharacteristic
405#107—22no—
406#107—41no—
407#106—22no—
408#106—41no—
409C4⋊C8—22no—
410C4⋊C8—41no—
411#103—22no—
412#103—22no—
413#103—22no—
414#103—22no—
415#103—22no—
416#103—41no—
417#103—41no—
418#103C7×D414yes—
419C22⋊C8—22no—
420#95—21no—
421#95—21no—
422#95—21no—
423#95—21no—
424#95—21no—
425#95—21no—
426#95—21no—
427#95—21no—
428#95—21no—
429#95—21no—
430#95C7×D411yescharacteristic
431#95C7×D411yescharacteristic
432C22×C7—22no—
433C22×C7—22no—
434C22×C7—22no—
435C22×C7—22no—
436C22×C7—22no—
437C22×C7—22no—
438C22×C7#47914yescomplemented
439C22×C7C2×C22⋊Q811yescharacteristic
440C22×C7D4211yescharacteristic
441C22×C7#54611yescharacteristic
442C22×C7C2×#13511yescharacteristic
443C22×C7C2×#13711yescharacteristic
444C22×C7#57711yescharacteristic
445C22×C7#57811yescharacteristic
446C4×C7—22no—
447C4×C7—24no—
448C4×C7—42no—
449C4×C7—41no—
450C4×C7—41no—
451C4×C7—42no—
452C4×C7—41no—
453C4×C7—41no—
454C4×C7—81no—
455C4×C7—81no—
456C4×C7—81no—
457C4×C7—81no—
458C4×C7—81no—
459C4×C7C2×C22⋊Q811yescharacteristic
460C4×C7#54311yescharacteristic
461C4×C7#54611yescharacteristic
462C4×C7#55111yescharacteristic
463C24C2×C7×D411yescharacteristic
464C2×Q8—24no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—28no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—42no—
475C2×Q8—42no—
476C2×Q8—44no—
477C2×Q8—44no—
478C2×Q8—44no—
479C2×Q8C2×C7×D412yes—
480C2×Q8C2×C7×Q812yes—
481C2×Q8C2×C7×Q812yes—
482C2×Q8C7×#4112yes—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—24no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—81no—
501C22×C4C2×C7×D411yescharacteristic
502C22×C4C2×C7×D411yescharacteristic
503C22×C4C2×C7×D411yescharacteristic
504C22×C4C2×C7×D411yescharacteristic
505C22×C4C2×C7×D411yescharacteristic
506C22×C4C2×C7×Q812yes—
507C22×C4C7×#4112yes—
508C22×C4C24×C711yescharacteristic
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—44no—
521C2×C8C2×C7×D412yes—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—42no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—42no—
537C4⋊C4—42no—
538C4⋊C4—81no—
539C4⋊C4—81no—
540C4⋊C4C2×C7×D412yes—
541C22⋊C4—22no—
542C22⋊C4—22no—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C42—21no—
546C42—21no—
547C42—21no—
548C42—21no—
549C42—42no—
550C42—42no—
551C2×C7—24no—
552C2×C7#243711yescharacteristic
553C2×C7C2×#47911yescharacteristic
554C2×C7#308211yescharacteristic
555C2×C7#327011yescharacteristic
556C2×C7#328211yescharacteristic
557C2×C7#330011yescharacteristic
558C2×C7#332011yescharacteristic
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23C7×C22⋊Q812yes—
564C23C7×#13512yes—
565C23C7×#13712yes—
566C23C22×C7×D411yescharacteristic
567Q8—22no—
568Q8—22no—
569Q8—22no—
570Q8—22no—
571Q8—22no—
572Q8—48no—
573Q8—41no—
574Q8—41no—
575Q8C7×C22⋊Q814yes—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—21no—
579C2×C4—22no—
580C2×C4—21no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—22no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—48no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—84no—
620C2×C4C7×C22⋊Q812yes—
621C2×C4C22×C7×D411yescharacteristic
622C2×C4C22×C7×Q811yescharacteristic
623C2×C4C2×C7×#4111yescharacteristic
624C2×C4C2×C7×#4111yescharacteristic
625C2×C4C7×H(5,𝔽2)11yescharacteristic
626C2×C4C7×H(5,𝔽2)11yescharacteristic
627C8—22no—
628C8—41no—
629C8—41no—
630C8—41no—
631C7#2595711yescharacteristic, direct product factor, Sylow
632C22—22no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—22no—
638C22C7×#47914yescomplemented
639C22C2×C7×C22⋊Q811yescharacteristic
640C22C7×D4211yescharacteristic
641C22C7×#54611yescharacteristic
642C22C2×C7×#13511yescharacteristic
643C22C2×C7×#13711yescharacteristic
644C22C7×#57711yescharacteristic
645C22C7×#57811yescharacteristic
646C4—22no—
647C4—24no—
648C4—42no—
649C4—41no—
650C4—41no—
651C4—42no—
652C4—41no—
653C4—41no—
654C4—81no—
655C4—81no—
656C4—81no—
657C4—81no—
658C4—81no—
659C4C2×C7×C22⋊Q811yescharacteristic
660C4C7×#54311yescharacteristic
661C4C7×#54611yescharacteristic
662C4C7×#55111yescharacteristic
663C2—24no—
664C2C7×#243711yescharacteristic
665C2C2×C7×#47911yescharacteristic
666C2C7×#308211yescharacteristic
667C2C7×#327011yescharacteristic
668C2C7×#328211yescharacteristic
669C2C7×#330011yescharacteristic
670C2C7×#332011yescharacteristic
subgroupG/H
center, socleC23×C7C22×D4
commutator, Frattini, cosocleC22×C4C24×C7
prime radicalC24×C7C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C7 ◁ C4×C7×C22⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C7×#479C2semidirect
5. C7×#2097C2semidirect
6. C7×#2068C2semidirect
7. C7×#2066C2semidirect
8. C7×#2026C2semidirect
9. C7×#1865C2semidirect
10. C7×#1863C2semidirect
14. C7×#1805C2semidirect
61. #25957C7direct (N × H)
137. C2×#479C2×C7semidirect
141. #2097C2×C7semidirect
142. #2068C2×C7semidirect
143. #2066C2×C7semidirect
144. #2026C2×C7semidirect
145. #1865C2×C7semidirect
146. #1863C2×C7semidirect
150. #1805C2×C7semidirect
438. C22×C7#479semidirect
631. C7#25957direct (N × H)
638. C22C7×#479semidirect

Maximal subgroups

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

subgroupindex
C2×C7×#4792
C22×C7×#1032
C7×#24422
C7×Q8×C22⋊C42
C7×#20972
C7×#20682
C7×#20662
C7×#20262
C7×#18652
C7×#18632
C7×#18522
C7×#18502
C7×#18072
C7×#18052
C7×#17872
#259577