Finite Group Databasebeta

← C7×#26988 #13204204

Subgroups — C7×#26988 #13204204

Order 1792.

840 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×C7×#470C211yesmaximal, characteristic
2C2×C7×#441C211yesmaximal, characteristic, complemented
3C7×#2429C211yesmaximal, characteristic
4C7×#2423C211yesmaximal, characteristic
5C7×#2084C211yesmaximal, characteristic, complemented
6C7×#2035C211yesmaximal, characteristic
7C7×#2016C211yesmaximal, characteristic, complemented
8C7×#2001C211yesmaximal, characteristic
9C7×#1956C211yesmaximal, characteristic, complemented
10C7×#1935C211yesmaximal, characteristic, complemented
11C7×#1933C211yesmaximal, characteristic, complemented
12C7×#1894C211yesmaximal, characteristic
13C7×#1878C211yesmaximal, characteristic, complemented
14C7×#1865C211yesmaximal, characteristic, complemented
15C7×#1753C211yesmaximal, characteristic
16C22×C7×Q16C2211yescharacteristic
17C22×C7×Q16C2211yescharacteristic
18C22×C7×M16C2211yescharacteristic
19C2×C7×C4⋊Q8C2211yescharacteristic
20C2×C7×C22⋊Q8C2211yescharacteristic
21C2×C7×C22⋊Q8C2211yescharacteristic
22C2×C7×C22⋊Q8C2211yescharacteristic
23C2×C4×C7×Q8C2211yescharacteristic
24C2×C4×C7×Q8C2211yescharacteristic
25C7×#470—24no—
26C7×#441—24no—
27C2×C7×#106C2211yescharacteristic
28C2×C7×#106C2211yescharacteristic
29C2×C7×#103C2211yescharacteristic
30C2×C7×#103C2211yescharacteristic
31C2×C7×#103C2211yescharacteristic
32C2×C7×#103C2211yescharacteristic
33C2×C7×#103C2211yescharacteristic
34C2×C7×#103C2211yescharacteristic
35C2×C7×#103C2211yescharacteristic
36C2×C7×#103C2211yescharacteristic
37C2×C7×C22⋊C8C2211yescharacteristic
38C2×C7×#97C2211yescharacteristic
39C2×C4×C7×C8C2211yescharacteristic
40C7×#399—21no—
41C7×#398—21no—
42C7×#398—21no—
43C7×#396—21no—
44C7×#391C2211yescharacteristic
45C7×#391C2211yescharacteristic
46C7×#389—21no—
47C7×#389C2211yescharacteristic
48C7×#389C2211yescharacteristic
49C7×#388—21no—
50C7×#388—21no—
51C7×#387—21no—
52C7×#384C2211yescharacteristic
53C7×#380C2211yescharacteristic
54C4×C7×C22⋊C4C2211yescharacteristic
55C7×#340C2211yescharacteristic
56C7×#340C2211yescharacteristic
57C7×#340C2211yescharacteristic
58C7×#340C2211yescharacteristic
59C7×#336C2211yescharacteristic
60C7×#336C2211yescharacteristic
61#26988C711yesmaximal, characteristic, direct product factor, Sylow
62C22×C7×Q8C2311yescharacteristic
63C22×C7×Q8C2311yescharacteristic
64C22×C7×Q8C2311yescharacteristic
65C23×C4×C7C2311yescharacteristic
66C2×C7×Q16—22no—
67C2×C7×Q16—22no—
68C2×C7×Q16—22no—
69C2×C7×Q16—22no—
70C2×C7×Q16—22no—
71C2×C7×Q16—41no—
72C2×C7×M16—22no—
73C2×C7×M16—22no—
74C2×C7×M16—41no—
75C22×C7×C8C2311yescharacteristic
76C22×C7×C8C2311yescharacteristic
77C22×C7×C8C2311yescharacteristic
78C22×C7×C8C2311yescharacteristic
79C7×C4⋊Q8—22no—
80C7×C4⋊Q8—41no—
81C7×C22⋊Q8—22no—
82C7×C22⋊Q8—22no—
83C7×C22⋊Q8—22no—
84C7×C22⋊Q8—41no—
85C7×C22⋊Q8—41no—
86C7×C22⋊Q8—41no—
87C4×C7×Q8—22no—
88C4×C7×Q8—22no—
89C4×C7×Q8—41no—
90C4×C7×Q8—41no—
91C2×C7×C4⋊C4—21no—
92C2×C7×C4⋊C4—21no—
93C2×C7×C4⋊C4—21no—
94C2×C7×C4⋊C4—21no—
95C2×C7×C4⋊C4—21no—
96C2×C7×C4⋊C4—21no—
97C2×C7×C4⋊C4—21no—
98C2×C7×C4⋊C4—21no—
99C2×C7×C4⋊C4—21no—
100C2×C7×C4⋊C4—21no—
101C2×C7×C4⋊C4—21no—
102C2×C7×C4⋊C4C2311yescharacteristic
103C2×C7×C4⋊C4C2311yescharacteristic
104C2×C7×C4⋊C4C2311yescharacteristic
105C2×C7×C4⋊C4C2311yescharacteristic
106C2×C7×C4⋊C4C2311yescharacteristic
107C2×C7×C22⋊C4—21no—
108C2×C7×C22⋊C4—21no—
109C2×C7×C22⋊C4—21no—
110C2×C7×C22⋊C4—21no—
111C2×C7×C22⋊C4D411yescharacteristic
112C2×C7×C22⋊C4D411yescharacteristic
113C2×C42×C7—21no—
114C2×C42×C7—21no—
115C2×C42×C7C2311yescharacteristic
116C2×C42×C7C2311yescharacteristic
117C7×#106—22no—
118C7×#106—22no—
119C7×#103—22no—
120C7×#103—22no—
121C7×#103—22no—
122C7×#103—22no—
123C7×#103—41no—
124C7×#103—41no—
125C7×#103—41no—
126C7×#103D414yes—
127C7×C22⋊C8—22no—
128C7×#97—22no—
129C4×C7×C8—41no—
130C7×#95—21no—
131C7×#95—21no—
132C7×#95—21no—
133C7×#95—21no—
134C7×#95—21no—
135C7×#95—21no—
136C7×#95—21no—
137C7×#95D411yescharacteristic
138C7×#95D411yescharacteristic
139C2×#470C2×C711yescharacteristic
140C2×#441C2×C711yescharacteristic, complemented
141#2429C2×C711yescharacteristic
142#2423C2×C711yescharacteristic
143#2084C2×C711yescharacteristic, complemented
144#2035C2×C711yescharacteristic
145#2016C2×C711yescharacteristic, complemented
146#2001C2×C711yescharacteristic
147#1956C2×C711yescharacteristic, complemented
148#1935C2×C711yescharacteristic, complemented
149#1933C2×C711yescharacteristic, complemented
150#1894C2×C711yescharacteristic
151#1878C2×C711yescharacteristic, complemented
152#1865C2×C711yescharacteristic, complemented
153#1753C2×C711yescharacteristic
154C24×C7C2×D411yescharacteristic
155C2×C7×Q8—21no—
156C2×C7×Q8—21no—
157C2×C7×Q8—21no—
158C2×C7×Q8—21no—
159C2×C7×Q8—21no—
160C2×C7×Q8—21no—
161C2×C7×Q8—21no—
162C2×C7×Q8—21no—
163C2×C7×Q8—21no—
164C2×C7×Q8—21no—
165C2×C7×Q8—21no—
166C2×C7×Q8—21no—
167C2×C7×Q8—21no—
168C2×C7×Q8—21no—
169C2×C7×Q8—21no—
170C2×C7×Q8—21no—
171C2×C7×Q8C2×D412yes—
172C2×C7×Q8#4112yes—
173C22×C4×C7—21no—
174C22×C4×C7—21no—
175C22×C4×C7—21no—
176C22×C4×C7—21no—
177C22×C4×C7—21no—
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—21no—
186C22×C4×C7—21no—
187C22×C4×C7C2×D411yescharacteristic
188C22×C4×C7C2×D411yescharacteristic
189C22×C4×C7C2×D411yescharacteristic
190C22×C4×C7C2×D411yescharacteristic
191C22×C4×C7C2×D411yescharacteristic
192C22×C4×C7C2411yescharacteristic
193C7×Q16—28no—
194C7×Q16—44no—
195C7×M16—44no—
196C2×C7×C8—21no—
197C2×C7×C8—21no—
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×C8C2×D412yes—
206C2×C7×C8#4112yes—
207C2×C7×C8#4112yes—
208C7×C4⋊C4—21no—
209C7×C4⋊C4—21no—
210C7×C4⋊C4—21no—
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—42no—
218C7×C4⋊C4—42no—
219C7×C4⋊C4—42no—
220C7×C4⋊C4—42no—
221C7×C4⋊C4—42no—
222C7×C4⋊C4—42no—
223C7×C4⋊C4—42no—
224C7×C4⋊C4—42no—
225C7×C4⋊C4—42no—
226C7×C4⋊C4—81no—
227C7×C4⋊C4—81no—
228C7×C4⋊C4C2×D412yes—
229C7×C22⋊C4—22no—
230C7×C22⋊C4—22no—
231C7×C22⋊C4—42no—
232C7×C22⋊C4—42no—
233C7×C22⋊C4—42no—
234C7×C22⋊C4—81no—
235C42×C7—21no—
236C42×C7—21no—
237C42×C7—21no—
238C42×C7—21no—
239C42×C7—42no—
240C42×C7—42no—
241C22×Q16C22×C711yescharacteristic
242C22×Q16C22×C711yescharacteristic
243C22×M16C22×C711yescharacteristic
244C2×C4⋊Q8C22×C711yescharacteristic
245C2×C22⋊Q8C22×C711yescharacteristic
246C2×C22⋊Q8C22×C711yescharacteristic
247C2×C22⋊Q8C22×C711yescharacteristic
248C2×C4×Q8C22×C711yescharacteristic
249C2×C4×Q8C22×C711yescharacteristic
250#470—24no—
251#441—24no—
252C2×#106C22×C711yescharacteristic
253C2×#106C22×C711yescharacteristic
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
263C2×#97C22×C711yescharacteristic
264C2×C4×C8C22×C711yescharacteristic
265#399—21no—
266#398—21no—
267#398—21no—
268#396—21no—
269#391C22×C711yescharacteristic
270#391C22×C711yescharacteristic
271#389—21no—
272#389C22×C711yescharacteristic
273#389C22×C711yescharacteristic
274#388—21no—
275#388—21no—
276#387—21no—
277#384C22×C711yescharacteristic
278#380C22×C711yescharacteristic
279C4×C22⋊C4C22×C711yescharacteristic
280#340C22×C711yescharacteristic
281#340C22×C711yescharacteristic
282#340C22×C711yescharacteristic
283#340C22×C711yescharacteristic
284#336C22×C711yescharacteristic
285#336C22×C711yescharacteristic
286C23×C7—21no—
287C23×C7—21no—
288C23×C7—21no—
289C23×C7—21no—
290C23×C7—21no—
291C23×C7—21no—
292C23×C7—21no—
293C23×C7C22×D411yescharacteristic
294C7×Q8—22no—
295C7×Q8—22no—
296C7×Q8—22no—
297C7×Q8—22no—
298C7×Q8—41no—
299C7×Q8—41no—
300C7×Q8—41no—
301C7×Q8—41no—
302C7×Q8—41no—
303C7×Q8—41no—
304C7×Q8—41no—
305C7×Q8—41no—
306C2×C4×C7—21no—
307C2×C4×C7—21no—
308C2×C4×C7—21no—
309C2×C4×C7—21no—
310C2×C4×C7—21no—
311C2×C4×C7—21no—
312C2×C4×C7—21no—
313C2×C4×C7—22no—
314C2×C4×C7—22no—
315C2×C4×C7—21no—
316C2×C4×C7—22no—
317C2×C4×C7—21no—
318C2×C4×C7—21no—
319C2×C4×C7—21no—
320C2×C4×C7—21no—
321C2×C4×C7—21no—
322C2×C4×C7—41no—
323C2×C4×C7—41no—
324C2×C4×C7—41no—
325C2×C4×C7—41no—
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—41no—
346C2×C4×C7—41no—
347C2×C4×C7#13712yes—
348C2×C4×C7#13712yes—
349C2×C4×C7C22×D411yescharacteristic
350C2×C4×C7C2×#4111yescharacteristic
351C2×C4×C7C2×#4111yescharacteristic
352C2×C4×C7C2×#4111yescharacteristic
353C2×C4×C7H(5,𝔽2)11yescharacteristic
354C2×C4×C7H(5,𝔽2)11yescharacteristic
355C7×C8—22no—
356C7×C8—22no—
357C7×C8—22no—
358C7×C8—41no—
359C22×Q8C23×C711yescharacteristic
360C22×Q8C23×C711yescharacteristic
361C22×Q8C23×C711yescharacteristic
362C23×C4C23×C711yescharacteristic
363C2×Q16—22no—
364C2×Q16—22no—
365C2×Q16—22no—
366C2×Q16—22no—
367C2×Q16—22no—
368C2×Q16—41no—
369C2×M16—22no—
370C2×M16—22no—
371C2×M16—41no—
372C22×C8C23×C711yescharacteristic
373C22×C8C23×C711yescharacteristic
374C22×C8C23×C711yescharacteristic
375C22×C8C23×C711yescharacteristic
376C4⋊Q8—22no—
377C4⋊Q8—41no—
378C22⋊Q8—22no—
379C22⋊Q8—22no—
380C22⋊Q8—22no—
381C22⋊Q8—41no—
382C22⋊Q8—41no—
383C22⋊Q8—41no—
384C4×Q8—22no—
385C4×Q8—22no—
386C4×Q8—41no—
387C4×Q8—41no—
388C2×C4⋊C4—21no—
389C2×C4⋊C4—21no—
390C2×C4⋊C4—21no—
391C2×C4⋊C4—21no—
392C2×C4⋊C4—21no—
393C2×C4⋊C4—21no—
394C2×C4⋊C4—21no—
395C2×C4⋊C4—21no—
396C2×C4⋊C4—21no—
397C2×C4⋊C4—21no—
398C2×C4⋊C4—21no—
399C2×C4⋊C4C23×C711yescharacteristic
400C2×C4⋊C4C23×C711yescharacteristic
401C2×C4⋊C4C23×C711yescharacteristic
402C2×C4⋊C4C23×C711yescharacteristic
403C2×C4⋊C4C23×C711yescharacteristic
404C2×C22⋊C4—21no—
405C2×C22⋊C4—21no—
406C2×C22⋊C4—21no—
407C2×C22⋊C4—21no—
408C2×C22⋊C4C7×D411yescharacteristic
409C2×C22⋊C4C7×D411yescharacteristic
410C2×C42—21no—
411C2×C42—21no—
412C2×C42C23×C711yescharacteristic
413C2×C42C23×C711yescharacteristic
414#106—22no—
415#106—22no—
416#103—22no—
417#103—22no—
418#103—22no—
419#103—22no—
420#103—41no—
421#103—41no—
422#103—41no—
423#103C7×D414yes—
424C22⋊C8—22no—
425#97—22no—
426C4×C8—41no—
427#95—21no—
428#95—21no—
429#95—21no—
430#95—21no—
431#95—21no—
432#95—21no—
433#95—21no—
434#95C7×D411yescharacteristic
435#95C7×D411yescharacteristic
436C22×C7—41no—
437C22×C7—41no—
438C22×C7—41no—
439C22×C7—41no—
440C22×C7—41no—
441C22×C7—41no—
442C22×C7—41no—
443C22×C7#53211yescharacteristic
444C22×C7D4211yescharacteristic
445C22×C7#54611yescharacteristic
446C22×C7C2×#13711yescharacteristic
447C22×C7C2×#13711yescharacteristic
448C22×C7#57711yescharacteristic
449C22×C7#57811yescharacteristic
450C4×C7—22no—
451C4×C7—22no—
452C4×C7—41no—
453C4×C7—42no—
454C4×C7—42no—
455C4×C7—41no—
456C4×C7—42no—
457C4×C7—41no—
458C4×C7—81no—
459C4×C7—81no—
460C4×C7—81no—
461C4×C7—81no—
462C4×C7—81no—
463C4×C7#52511yescharacteristic
464C4×C7#54011yescharacteristic
465C4×C7#54611yescharacteristic
466C4×C7#55311yescharacteristic
467C24C2×C7×D411yescharacteristic
468C2×Q8—21no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8C2×C7×D412yes—
485C2×Q8C7×#4112yes—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4C2×C7×D411yescharacteristic
501C22×C4C2×C7×D411yescharacteristic
502C22×C4C2×C7×D411yescharacteristic
503C22×C4C2×C7×D411yescharacteristic
504C22×C4C2×C7×D411yescharacteristic
505C22×C4C24×C711yescharacteristic
506Q16—28no—
507Q16—44no—
508M16—44no—
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×C8C2×C7×D412yes—
519C2×C8C7×#4112yes—
520C2×C8C7×#4112yes—
521C4⋊C4—21no—
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—42no—
531C4⋊C4—42no—
532C4⋊C4—42no—
533C4⋊C4—42no—
534C4⋊C4—42no—
535C4⋊C4—42no—
536C4⋊C4—42no—
537C4⋊C4—42no—
538C4⋊C4—42no—
539C4⋊C4—81no—
540C4⋊C4—81no—
541C4⋊C4C2×C7×D412yes—
542C22⋊C4—22no—
543C22⋊C4—22no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—81no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—21no—
552C42—42no—
553C42—42no—
554C2×C7—81no—
555C2×C7#246411yescharacteristic
556C2×C7#317811yescharacteristic
557C2×C7#318511yescharacteristic
558C2×C7#327611yescharacteristic
559C2×C7#327811yescharacteristic
560C2×C7#331211yescharacteristic
561C2×C7#331611yescharacteristic
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—21no—
569C23C22×C7×D411yescharacteristic
570Q8—22no—
571Q8—22no—
572Q8—22no—
573Q8—22no—
574Q8—41no—
575Q8—41no—
576Q8—41no—
577Q8—41no—
578Q8—41no—
579Q8—41no—
580Q8—41no—
581Q8—41no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—21no—
592C2×C4—22no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—41no—
599C2×C4—41no—
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—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4C7×#13712yes—
624C2×C4C7×#13712yes—
625C2×C4C22×C7×D411yescharacteristic
626C2×C4C2×C7×#4111yescharacteristic
627C2×C4C2×C7×#4111yescharacteristic
628C2×C4C2×C7×#4111yescharacteristic
629C2×C4C7×H(5,𝔽2)11yescharacteristic
630C2×C4C7×H(5,𝔽2)11yescharacteristic
631C8—22no—
632C8—22no—
633C8—22no—
634C8—41no—
635C7#2698811yescharacteristic, direct product factor, Sylow
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—41no—
642C22—41no—
643C22C7×#53211yescharacteristic
644C22C7×D4211yescharacteristic
645C22C7×#54611yescharacteristic
646C22C2×C7×#13711yescharacteristic
647C22C2×C7×#13711yescharacteristic
648C22C7×#57711yescharacteristic
649C22C7×#57811yescharacteristic
650C4—22no—
651C4—22no—
652C4—41no—
653C4—42no—
654C4—42no—
655C4—41no—
656C4—42no—
657C4—41no—
658C4—81no—
659C4—81no—
660C4—81no—
661C4—81no—
662C4—81no—
663C4C7×#52511yescharacteristic
664C4C7×#54011yescharacteristic
665C4C7×#54611yescharacteristic
666C4C7×#55311yescharacteristic
667C2—81no—
668C2C7×#246411yescharacteristic
669C2C7×#317811yescharacteristic
670C2C7×#318511yescharacteristic
671C2C7×#327611yescharacteristic
672C2C7×#327811yescharacteristic
673C2C7×#331211yescharacteristic
674C2C7×#331611yescharacteristic
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
2. C2×C7×#441C2semidirect
5. C7×#2084C2semidirect
7. C7×#2016C2semidirect
9. C7×#1956C2semidirect
10. C7×#1935C2semidirect
11. C7×#1933C2semidirect
13. C7×#1878C2semidirect
14. C7×#1865C2semidirect
61. #26988C7direct (N × H)
140. C2×#441C2×C7semidirect
143. #2084C2×C7semidirect
145. #2016C2×C7semidirect
147. #1956C2×C7semidirect
148. #1935C2×C7semidirect
149. #1933C2×C7semidirect
151. #1878C2×C7semidirect
152. #1865C2×C7semidirect
635. C7#26988direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C7×#4702
C2×C7×#4412
C7×#24292
C7×#24232
C7×#20842
C7×#20352
C7×#20162
C7×#20012
C7×#19562
C7×#19352
C7×#19332
C7×#18942
C7×#18782
C7×#18652
C7×#17532
#269887