Finite Group Databasebeta

← C7×#15146 #13192362

Subgroups — C7×#15146 #13192362

Order 1792.

1294 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C7×#400C212yesmaximal
2C2×C7×#389C211yesmaximal, characteristic
3C2×C7×#384C211yesmaximal, characteristic
4C7×#1442C212yesmaximal
5C7×#1442C212yesmaximal
6C7×#1441C212yesmaximal
7C7×C4⋊#95C211yesmaximal, characteristic
8C7×C4⋊#95C211yesmaximal, characteristic
9C7×C4⋊#95C211yesmaximal, characteristic
10C7×C4⋊#95C211yesmaximal, characteristic
11C4×C7×#95C211yesmaximal, characteristic
12C22×C7×C4⋊C4C2211yescharacteristic
13C22×C7×C4⋊C4C2211yescharacteristic
14C22×C7×C4⋊C4C2211yescharacteristic
15C22×C7×C4⋊C4C2212yes—
16C22×C7×C4⋊C4C2212yes—
17C22×C7×C4⋊C4C2212yes—
18C22×C7×C4⋊C4C2211yescharacteristic
19C22×C42×C7C2211yescharacteristic
20C22×C42×C7C2211yescharacteristic
21C22×C42×C7C2211yescharacteristic
22C7×#400—28no—
23C7×#389—24no—
24C7×#384—24no—
25C2×C7×#95C2212yes—
26C2×C7×#95C2212yes—
27C2×C7×#95C2212yes—
28C2×C7×#95C2212yes—
29C2×C7×#95C2212yes—
30C2×C7×#95C2211yescharacteristic
31C2×C7×#95C2211yescharacteristic
32C2×C7×#95C2212yes—
33C2×C7×#95C2212yes—
34C2×C7×#95C2212yes—
35C2×C7×#95C2212yes—
36C2×C7×#95C2211yescharacteristic
37C2×C7×#95C2211yescharacteristic
38#15146C711yesmaximal, characteristic, direct product factor, Sylow
39C23×C4×C7C2312yes—
40C23×C4×C7C2312yes—
41C23×C4×C7C2312yes—
42C23×C4×C7C2311yescharacteristic
43C23×C4×C7C2311yescharacteristic
44C23×C4×C7C2312yes—
45C23×C4×C7C2311yescharacteristic
46C23×C4×C7C2311yescharacteristic
47C23×C4×C7C2311yescharacteristic
48C23×C4×C7C2311yescharacteristic
49C23×C4×C7C2311yescharacteristic
50C2×C7×C4⋊C4—22no—
51C2×C7×C4⋊C4—22no—
52C2×C7×C4⋊C4—24no—
53C2×C7×C4⋊C4—24no—
54C2×C7×C4⋊C4—22no—
55C2×C7×C4⋊C4—24no—
56C2×C7×C4⋊C4—22no—
57C2×C7×C4⋊C4—24no—
58C2×C7×C4⋊C4—24no—
59C2×C7×C4⋊C4—24no—
60C2×C7×C4⋊C4—22no—
61C2×C7×C4⋊C4—22no—
62C2×C7×C4⋊C4—22no—
63C2×C7×C4⋊C4—22no—
64C2×C7×C4⋊C4—22no—
65C2×C7×C4⋊C4—22no—
66C2×C7×C4⋊C4—22no—
67C2×C7×C4⋊C4—42no—
68C2×C7×C4⋊C4—42no—
69C2×C7×C4⋊C4—42no—
70C2×C7×C4⋊C4D414yes—
71C2×C42×C7—22no—
72C2×C42×C7—22no—
73C2×C42×C7—22no—
74C2×C42×C7—22no—
75C2×C42×C7—22no—
76C2×C42×C7—22no—
77C2×C42×C7—22no—
78C2×C42×C7—22no—
79C2×C42×C7Q814yes—
80C7×#95—24no—
81C7×#95—24no—
82C7×#95—24no—
83C7×#95—24no—
84C7×#95—24no—
85C7×#95—22no—
86C7×#95—22no—
87C7×#95—24no—
88C7×#95—42no—
89C7×#95—42no—
90C7×#95—42no—
91C7×#95D414yes—
92C7×#95Q814yes—
93C2×#400C2×C712yes—
94C2×#389C2×C711yescharacteristic
95C2×#384C2×C711yescharacteristic
96#1442C2×C712yes—
97#1442C2×C712yes—
98#1441C2×C712yes—
99C4⋊#95C2×C711yescharacteristic
100C4⋊#95C2×C711yescharacteristic
101C4⋊#95C2×C711yescharacteristic
102C4⋊#95C2×C711yescharacteristic
103C4×#95C2×C711yescharacteristic
104C24×C7C2411yescharacteristic
105C22×C4×C7—21no—
106C22×C4×C7—21no—
107C22×C4×C7—21no—
108C22×C4×C7—21no—
109C22×C4×C7—21no—
110C22×C4×C7—21no—
111C22×C4×C7—21no—
112C22×C4×C7—21no—
113C22×C4×C7—21no—
114C22×C4×C7—22no—
115C22×C4×C7—21no—
116C22×C4×C7—21no—
117C22×C4×C7—21no—
118C22×C4×C7—21no—
119C22×C4×C7—21no—
120C22×C4×C7—21no—
121C22×C4×C7—21no—
122C22×C4×C7—21no—
123C22×C4×C7—21no—
124C22×C4×C7—21no—
125C22×C4×C7—21no—
126C22×C4×C7—21no—
127C22×C4×C7—21no—
128C22×C4×C7—21no—
129C22×C4×C7—21no—
130C22×C4×C7—22no—
131C22×C4×C7—22no—
132C22×C4×C7—22no—
133C22×C4×C7—21no—
134C22×C4×C7—21no—
135C22×C4×C7—21no—
136C22×C4×C7—22no—
137C22×C4×C7—22no—
138C22×C4×C7—21no—
139C22×C4×C7—21no—
140C22×C4×C7—21no—
141C22×C4×C7—21no—
142C22×C4×C7—21no—
143C22×C4×C7—22no—
144C22×C4×C7—22no—
145C22×C4×C7—22no—
146C22×C4×C7—22no—
147C22×C4×C7—22no—
148C22×C4×C7—22no—
149C22×C4×C7—22no—
150C22×C4×C7—22no—
151C22×C4×C7—22no—
152C22×C4×C7—22no—
153C22×C4×C7—22no—
154C22×C4×C7—22no—
155C22×C4×C7—22no—
156C22×C4×C7—22no—
157C22×C4×C7—22no—
158C22×C4×C7—22no—
159C22×C4×C7—22no—
160C22×C4×C7—22no—
161C22×C4×C7—22no—
162C22×C4×C7—22no—
163C22×C4×C7—22no—
164C22×C4×C7C2×D412yes—
165C22×C4×C7C2×D412yes—
166C22×C4×C7C2×D414yes—
167C22×C4×C7C2×D412yes—
168C22×C4×C7C2×D412yes—
169C22×C4×C7C2×Q812yes—
170C22×C4×C7C2×Q812yes—
171C22×C4×C7C2×Q812yes—
172C22×C4×C7C2×Q812yes—
173C22×C4×C7C2×Q812yes—
174C22×C4×C7C2×Q812yes—
175C22×C4×C7#4112yes—
176C22×C4×C7#4112yes—
177C22×C4×C7#4112yes—
178C22×C4×C7#4112yes—
179C22×C4×C7#4112yes—
180C22×C4×C7#4112yes—
181C22×C4×C7#4112yes—
182C7×C4⋊C4—28no—
183C7×C4⋊C4—48no—
184C7×C4⋊C4—48no—
185C7×C4⋊C4—48no—
186C7×C4⋊C4—44no—
187C7×C4⋊C4—44no—
188C7×C4⋊C4—44no—
189C42×C7—28no—
190C42×C7—44no—
191C42×C7—44no—
192C22×C4⋊C4C22×C711yescharacteristic
193C22×C4⋊C4C22×C711yescharacteristic
194C22×C4⋊C4C22×C711yescharacteristic
195C22×C4⋊C4C22×C712yes—
196C22×C4⋊C4C22×C712yes—
197C22×C4⋊C4C22×C712yes—
198C22×C4⋊C4C22×C711yescharacteristic
199C22×C42C22×C711yescharacteristic
200C22×C42C22×C711yescharacteristic
201C22×C42C22×C711yescharacteristic
202#400—28no—
203#389—24no—
204#384—24no—
205C2×#95C22×C712yes—
206C2×#95C22×C712yes—
207C2×#95C22×C712yes—
208C2×#95C22×C712yes—
209C2×#95C22×C711yescharacteristic
210C2×#95C22×C711yescharacteristic
211C2×#95C22×C712yes—
212C2×#95C22×C712yes—
213C2×#95C22×C712yes—
214C2×#95C22×C712yes—
215C2×#95C22×C712yes—
216C2×#95C22×C711yescharacteristic
217C2×#95C22×C711yescharacteristic
218C23×C7C22×D411yescharacteristic
219C23×C7C22×D411yescharacteristic
220C23×C7C22×Q811yescharacteristic
221C23×C7C22×Q811yescharacteristic
222C23×C7C2×#4111yescharacteristic
223C23×C7C2×#4111yescharacteristic
224C23×C7C2×#4111yescharacteristic
225C23×C7C2×#4111yescharacteristic
226C23×C7C2×#4111yescharacteristic
227C23×C7C2×#4111yescharacteristic
228C23×C7C2×#4111yescharacteristic
229C23×C7H(5,𝔽2)11yescharacteristic
230C23×C7H(5,𝔽2)11yescharacteristic
231C23×C72−1+411yescharacteristic
232C23×C72−1+411yescharacteristic
233C2×C4×C7—22no—
234C2×C4×C7—22no—
235C2×C4×C7—22no—
236C2×C4×C7—22no—
237C2×C4×C7—22no—
238C2×C4×C7—22no—
239C2×C4×C7—22no—
240C2×C4×C7—22no—
241C2×C4×C7—22no—
242C2×C4×C7—22no—
243C2×C4×C7—22no—
244C2×C4×C7—22no—
245C2×C4×C7—24no—
246C2×C4×C7—22no—
247C2×C4×C7—22no—
248C2×C4×C7—22no—
249C2×C4×C7—22no—
250C2×C4×C7—24no—
251C2×C4×C7—22no—
252C2×C4×C7—24no—
253C2×C4×C7—22no—
254C2×C4×C7—22no—
255C2×C4×C7—22no—
256C2×C4×C7—22no—
257C2×C4×C7—22no—
258C2×C4×C7—22no—
259C2×C4×C7—22no—
260C2×C4×C7—41no—
261C2×C4×C7—41no—
262C2×C4×C7—41no—
263C2×C4×C7—41no—
264C2×C4×C7—42no—
265C2×C4×C7—42no—
266C2×C4×C7—41no—
267C2×C4×C7—41no—
268C2×C4×C7—41no—
269C2×C4×C7—41no—
270C2×C4×C7—41no—
271C2×C4×C7—41no—
272C2×C4×C7—42no—
273C2×C4×C7—41no—
274C2×C4×C7—41no—
275C2×C4×C7—41no—
276C2×C4×C7—41no—
277C2×C4×C7—41no—
278C2×C4×C7—41no—
279C2×C4×C7—42no—
280C2×C4×C7—42no—
281C2×C4×C7—42no—
282C2×C4×C7—42no—
283C2×C4×C7—42no—
284C2×C4×C7—42no—
285C2×C4×C7—42no—
286C2×C4×C7—42no—
287C2×C4×C7—42no—
288C2×C4×C7—42no—
289C2×C4×C7—42no—
290C2×C4×C7—42no—
291C2×C4×C7—42no—
292C2×C4×C7—42no—
293C2×C4×C7—42no—
294C2×C4×C7—42no—
295C2×C4×C7—42no—
296C2×C4×C7—42no—
297C2×C4×C7—42no—
298C2×C4×C7—42no—
299C2×C4×C7—42no—
300C2×C4×C7—42no—
301C2×C4×C7C22⋊Q814yes—
302C2×C4×C7#12314yes—
303C2×C4×C7#12414yes—
304C2×C4×C7#12514yes—
305C2×C4×C7#12514yes—
306C2×C4×C7#12514yes—
307C2×C4×C7#12614yes—
308C2×C4×C7#12614yes—
309C2×C4×C7C4⋊Q814yes—
310C23×C4C23×C712yes—
311C23×C4C23×C712yes—
312C23×C4C23×C712yes—
313C23×C4C23×C712yes—
314C23×C4C23×C711yescharacteristic
315C23×C4C23×C711yescharacteristic
316C23×C4C23×C711yescharacteristic
317C23×C4C23×C711yescharacteristic
318C23×C4C23×C711yescharacteristic
319C23×C4C23×C711yescharacteristic
320C23×C4C23×C711yescharacteristic
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—24no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—42no—
339C2×C4⋊C4—42no—
340C2×C4⋊C4—42no—
341C2×C4⋊C4C7×D414yes—
342C2×C42—22no—
343C2×C42—22no—
344C2×C42—22no—
345C2×C42—22no—
346C2×C42—22no—
347C2×C42—22no—
348C2×C42—22no—
349C2×C42—22no—
350C2×C42C7×Q814yes—
351#95—24no—
352#95—24no—
353#95—24no—
354#95—24no—
355#95—24no—
356#95—22no—
357#95—22no—
358#95—24no—
359#95—42no—
360#95—42no—
361#95—42no—
362#95C7×D414yes—
363#95C7×Q814yes—
364C22×C7C2×C22⋊Q811yescharacteristic
365C22×C7C2×#12311yescharacteristic
366C22×C7C2×#12411yescharacteristic
367C22×C7C2×#12511yescharacteristic
368C22×C7C2×#12511yescharacteristic
369C22×C7C2×#12511yescharacteristic
370C22×C7C2×#12611yescharacteristic
371C22×C7C2×#12611yescharacteristic
372C22×C7C2×C4⋊Q811yescharacteristic
373C22×C7#53211yescharacteristic
374C22×C7#53211yescharacteristic
375C22×C7#53311yescharacteristic
376C22×C7#53311yescharacteristic
377C22×C7#54011yescharacteristic
378C22×C7#54111yescharacteristic
379C22×C7#54211yescharacteristic
380C22×C7#54211yescharacteristic
381C22×C7#54411yescharacteristic
382C22×C7#54411yescharacteristic
383C22×C7D4211yescharacteristic
384C22×C7#54611yescharacteristic
385C22×C7#54711yescharacteristic
386C22×C7#54711yescharacteristic
387C22×C7#54811yescharacteristic
388C22×C7D4×Q811yescharacteristic
389C22×C7#55011yescharacteristic
390C22×C7#55211yescharacteristic
391C22×C7#55311yescharacteristic
392C22×C7#55411yescharacteristic
393C22×C7#55411yescharacteristic
394C22×C7#55511yescharacteristic
395C22×C7#55611yescharacteristic
396C22×C7#55611yescharacteristic
397C22×C7#55711yescharacteristic
398C22×C7#55911yescharacteristic
399C4×C7—24no—
400C4×C7—24no—
401C4×C7—44no—
402C4×C7—42no—
403C4×C7—42no—
404C4×C7—42no—
405C4×C7—42no—
406C4×C7—82no—
407C4×C7—82no—
408C4×C7—82no—
409C4×C7#40018yescomplemented
410C24C24×C711yescharacteristic
411C22×C4—21no—
412C22×C4—21no—
413C22×C4—21no—
414C22×C4—21no—
415C22×C4—21no—
416C22×C4—21no—
417C22×C4—21no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—22no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4C2×C7×D412yes—
471C22×C4C2×C7×D412yes—
472C22×C4C2×C7×D414yes—
473C22×C4C2×C7×D412yes—
474C22×C4C2×C7×D412yes—
475C22×C4C2×C7×Q812yes—
476C22×C4C2×C7×Q812yes—
477C22×C4C2×C7×Q812yes—
478C22×C4C2×C7×Q812yes—
479C22×C4C2×C7×Q812yes—
480C22×C4C2×C7×Q812yes—
481C22×C4C7×#4112yes—
482C22×C4C7×#4112yes—
483C22×C4C7×#4112yes—
484C22×C4C7×#4112yes—
485C22×C4C7×#4112yes—
486C22×C4C7×#4112yes—
487C22×C4C7×#4112yes—
488C4⋊C4—28no—
489C4⋊C4—48no—
490C4⋊C4—48no—
491C4⋊C4—48no—
492C4⋊C4—44no—
493C4⋊C4—44no—
494C4⋊C4—44no—
495C42—28no—
496C42—44no—
497C42—44no—
498C2×C7C2×#40011yescharacteristic
499C2×C7#244011yescharacteristic
500C2×C7#244211yescharacteristic
501C2×C7#244511yescharacteristic
502C2×C7#244611yescharacteristic
503C2×C7#249111yescharacteristic
504C2×C7#249211yescharacteristic
505C2×C7#249611yescharacteristic
506C2×C7#249711yescharacteristic
507C2×C7#251111yescharacteristic
508C2×C7#251211yescharacteristic
509C2×C7#255211yescharacteristic
510C2×C7#257111yescharacteristic
511C2×C7#264711yescharacteristic
512C2×C7#285911yescharacteristic
513C23C22×C7×D411yescharacteristic
514C23C22×C7×D411yescharacteristic
515C23C22×C7×Q811yescharacteristic
516C23C22×C7×Q811yescharacteristic
517C23C2×C7×#4111yescharacteristic
518C23C2×C7×#4111yescharacteristic
519C23C2×C7×#4111yescharacteristic
520C23C2×C7×#4111yescharacteristic
521C23C2×C7×#4111yescharacteristic
522C23C2×C7×#4111yescharacteristic
523C23C2×C7×#4111yescharacteristic
524C23C7×H(5,𝔽2)11yescharacteristic
525C23C7×H(5,𝔽2)11yescharacteristic
526C23C7×2−1+411yescharacteristic
527C23C7×2−1+411yescharacteristic
528C2×C4—22no—
529C2×C4—22no—
530C2×C4—22no—
531C2×C4—22no—
532C2×C4—22no—
533C2×C4—22no—
534C2×C4—22no—
535C2×C4—22no—
536C2×C4—22no—
537C2×C4—22no—
538C2×C4—22no—
539C2×C4—22no—
540C2×C4—24no—
541C2×C4—22no—
542C2×C4—22no—
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—24no—
546C2×C4—22no—
547C2×C4—24no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—22no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—42no—
560C2×C4—42no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—42no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—42no—
575C2×C4—42no—
576C2×C4—42no—
577C2×C4—42no—
578C2×C4—42no—
579C2×C4—42no—
580C2×C4—42no—
581C2×C4—42no—
582C2×C4—42no—
583C2×C4—42no—
584C2×C4—42no—
585C2×C4—42no—
586C2×C4—42no—
587C2×C4—42no—
588C2×C4—42no—
589C2×C4—42no—
590C2×C4—42no—
591C2×C4—42no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4C7×C22⋊Q814yes—
597C2×C4C7×#12314yes—
598C2×C4C7×#12414yes—
599C2×C4C7×#12514yes—
600C2×C4C7×#12514yes—
601C2×C4C7×#12514yes—
602C2×C4C7×#12614yes—
603C2×C4C7×#12614yes—
604C2×C4C7×C4⋊Q814yes—
605C7#1514611yescharacteristic, direct product factor, Sylow
606C22C2×C7×C22⋊Q811yescharacteristic
607C22C2×C7×#12311yescharacteristic
608C22C2×C7×#12411yescharacteristic
609C22C2×C7×#12511yescharacteristic
610C22C2×C7×#12511yescharacteristic
611C22C2×C7×#12511yescharacteristic
612C22C2×C7×#12611yescharacteristic
613C22C2×C7×#12611yescharacteristic
614C22C2×C7×C4⋊Q811yescharacteristic
615C22C7×#53211yescharacteristic
616C22C7×#53211yescharacteristic
617C22C7×#53311yescharacteristic
618C22C7×#53311yescharacteristic
619C22C7×#54011yescharacteristic
620C22C7×#54111yescharacteristic
621C22C7×#54211yescharacteristic
622C22C7×#54211yescharacteristic
623C22C7×#54411yescharacteristic
624C22C7×#54411yescharacteristic
625C22C7×D4211yescharacteristic
626C22C7×#54611yescharacteristic
627C22C7×#54711yescharacteristic
628C22C7×#54711yescharacteristic
629C22C7×#54811yescharacteristic
630C22C7×D4×Q811yescharacteristic
631C22C7×#55011yescharacteristic
632C22C7×#55211yescharacteristic
633C22C7×#55311yescharacteristic
634C22C7×#55411yescharacteristic
635C22C7×#55411yescharacteristic
636C22C7×#55511yescharacteristic
637C22C7×#55611yescharacteristic
638C22C7×#55611yescharacteristic
639C22C7×#55711yescharacteristic
640C22C7×#55911yescharacteristic
641C4—24no—
642C4—24no—
643C4—44no—
644C4—42no—
645C4—42no—
646C4—42no—
647C4—42no—
648C4—82no—
649C4—82no—
650C4—82no—
651C4C7×#40018yescomplemented
652C2C2×C7×#40011yescharacteristic
653C2C7×#244011yescharacteristic
654C2C7×#244211yescharacteristic
655C2C7×#244511yescharacteristic
656C2C7×#244611yescharacteristic
657C2C7×#249111yescharacteristic
658C2C7×#249211yescharacteristic
659C2C7×#249611yescharacteristic
660C2C7×#249711yescharacteristic
661C2C7×#251111yescharacteristic
662C2C7×#251211yescharacteristic
663C2C7×#255211yescharacteristic
664C2C7×#257111yescharacteristic
665C2C7×#264711yescharacteristic
666C2C7×#285911yescharacteristic
subgroupG/H
center, socle, prime radicalC24×C7C24
commutator, Frattini, cosocleC24C24×C7
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C7 ◁ G

Complements

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

NH ≅ G/Ntype
38. #15146C7direct (N × H)
409. C4×C7#400semidirect
605. C7#15146direct (N × H)
651. C4C7×#400semidirect

Maximal subgroups

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

subgroupindex
C2×C7×#4002
C2×C7×#3892
C2×C7×#3842
C7×#14422
C7×#14412
C7×C4⋊#952
C4×C7×#952
#151467