Finite Group Databasebeta

← #13370304

Subgroups — #13370304

Order 1792.

1126 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#3475C211yesmaximal, characteristic
2#11739764C211yesmaximal, characteristic, complemented
3D4×#1136C211yesmaximal, characteristic, complemented
4#11729595C211yesmaximal, characteristic, complemented
5#11729593C211yesmaximal, characteristic, complemented
6#11729467C212yesmaximal, complemented
7#11729466C212yesmaximal, complemented
8#11729400C211yesmaximal, characteristic, complemented
9C4×#6411C211yesmaximal, characteristic, complemented
10#11729344C212yesmaximal, complemented
11#11729328C212yesmaximal, complemented
12C7×#556C411yescharacteristic, complemented
13C7×#555C411yescharacteristic, complemented
14C7×#554C411yescharacteristic, complemented
15C7×#553C412yescomplemented
16C7×#552—21no—
17C7×#552C412yescomplemented
18C7×#551—22no—
19C7×#547C411yescharacteristic, complemented
20C7×#546—21no—
21C7×#533C2211yescharacteristic
22C7×#529—22no—
23C7×#529—21no—
24C7×#525C2212yes—
25C4×C7×#41—21no—
26C4×C7×#41C2211yescharacteristic
27C2×C4×C7×D4C2211yescharacteristic
28C2×C7×#117C2212yes—
29C2×#6489C2212yes—
30C22×#1136C2212yes—
31C2×#6411C2211yescharacteristic
32C2×#6411C2211yescharacteristic
33C2×#6411C2212yes—
34#89993—21no—
35C4×C22⋊Dic7C2212yes—
36#89979C2212yes—
37#89784—21no—
38#89783—22no—
39D4×C7⋊C8—21no—
40#89757—21no—
41#89723—22no—
42C4×C4⋊Dic7C2211yescharacteristic
43C42×Dic7C2211yescharacteristic
44#89696C2211yescharacteristic
45C4×#1136C2211yescharacteristic
46#89327C2212yes—
47#89327C2212yes—
48#89327C2212yes—
49#89327C2212yes—
50#89327C2211yescharacteristic
51#89327C2212yes—
52#89327C2211yescharacteristic
53#22507—71nomaximal, Sylow
54C2×C7×#41—21no—
55C2×C7×#41C2311yescharacteristic
56C22×C7×D4D411yescharacteristic
57C23×C4×C7C2312yes—
58C7×C4⋊Q8C2×C411yescharacteristic
59C7×C4⋊Q8C2×C411yescharacteristic
60C7×#126—22no—
61C7×#126—22no—
62C7×#126—22no—
63C7×#125—22no—
64C7×#125—21no—
65C7×#125C2×C412yes—
66C7×#124—21no—
67C7×#124—22no—
68C7×#123—22no—
69C7×#123—22no—
70C7×#123—22no—
71C7×#123—22no—
72C7×C22⋊Q8—21no—
73C7×C22⋊Q8—21no—
74C7×C22⋊Q8—21no—
75C7×C22⋊Q8—22no—
76C7×C22⋊Q8C2×C412yes—
77C7×C22⋊Q8C2×C412yes—
78C7×#121—22no—
79C7×#121—21no—
80C7×#121C2×C412yes—
81C7×#121C2×C412yes—
82C7×#120—22no—
83C4×C7×Q8—21no—
84C4×C7×Q8—21no—
85C4×C7×Q8—21no—
86C4×C7×Q8C2×C411yescharacteristic
87C4×C7×Q8C2×C411yescharacteristic
88C4×C7×D4—21no—
89C4×C7×D4—22no—
90C4×C7×D4—21no—
91C4×C7×D4—21no—
92C4×C7×D4—22no—
93C4×C7×D4—22no—
94C4×C7×D4C2×C411yescharacteristic
95C4×C7×D4C2×C411yescharacteristic
96C4×C7×D4C2×C411yescharacteristic
97C4×C7×D4C2×C412yes—
98C4×C7×D4C2×C411yescharacteristic
99C4×C7×D4D411yescharacteristic
100C4×C7×D4D411yescharacteristic
101C4×C7×D4D412yes—
102C7×#117—22no—
103C7×#117—22no—
104C7×#117—21no—
105C7×#117—22no—
106C7×#117—21no—
107C7×#117C2×C412yes—
108C7×#117C2×C412yes—
109C7×#117C2311yescharacteristic
110C7×#117C2312yes—
111C2×C7×C4⋊C4C2×C412yes—
112C2×C7×C4⋊C4C2×C412yes—
113C2×C7×C4⋊C4D411yescharacteristic
114C2×C7×C22⋊C4—22no—
115C2×C7×C22⋊C4D412yes—
116C2×C42×C7—22no—
117C2×C42×C7—21no—
118C2×C42×C7C2311yescharacteristic
119C2×C22⋊Dic7—22no—
120C2×C22⋊Dic7—22no—
121#6489—24no—
122#6489—42no—
123C2×C4⋊Dic7—21no—
124C2×C4⋊Dic7—22no—
125C2×C4×Dic7—21no—
126C2×C4×Dic7—21no—
127C2×C4×Dic7C2311yescharacteristic
128C2×C4×Dic7C2312yes—
129C2×C4×Dic7C2311yescharacteristic
130C2×#1136—22no—
131C2×#1136—24no—
132C2×#1136—42no—
133C2×#1136C2311yescharacteristic
134C2×#1136C2312yes—
135C2×#1136C2311yescharacteristic
136C22×C7⋊C8—22no—
137#6411—22no—
138#6411—22no—
139#6411—42no—
140C7⋊#95—21no—
141C7⋊#95—22no—
142C22⋊(C7⋊C8)—22no—
143C22⋊(C7⋊C8)—22no—
144C4⋊(C7⋊C8)—21no—
145C4⋊(C7⋊C8)—21no—
146#6377—21no—
147C4×C7⋊C8—21no—
148#3475D711yescharacteristic
149D4×M16—71no—
150#2293—71no—
151#1994—71no—
152#1986—71no—
153#1897—72no—
154#1871—72no—
155#1826—72no—
156#1806—71no—
157C4×#104—71no—
158#1733—72no—
159C24×C7C2×D412yes—
160C7×#41—21no—
161C7×#41—21no—
162C7×#41—21no—
163C7×#41—21no—
164C7×#41—44no—
165C2×C7×Q8—21no—
166C2×C7×Q8—21no—
167C2×C7×Q8C22×C411yescharacteristic
168C2×C7×D4—22no—
169C2×C7×D4—21no—
170C2×C7×D4—22no—
171C2×C7×D4—42no—
172C2×C7×D4C22⋊C411yescharacteristic
173C2×C7×D4C22⋊C411yescharacteristic
174C2×C7×D4C22⋊C412yes—
175C2×C7×D4C22×C411yescharacteristic
176C22×C4×C7—22no—
177C22×C4×C7—22no—
178C22×C4×C7—22no—
179C22×C4×C7—22no—
180C22×C4×C7—22no—
181C22×C4×C7—22no—
182C22×C4×C7—21no—
183C22×C4×C7—21no—
184C22×C4×C7—21no—
185C22×C4×C7C22×C412yes—
186C22×C4×C7C22×C412yes—
187C22×C4×C7C2×D412yes—
188C22×C4×C7C2×D411yescharacteristic
189C22×C4×C7C2×D412yes—
190C22×C4×C7C2×D412yes—
191C22×C4×C7C2×D411yescharacteristic
192C22×C4×C7C2411yescharacteristic
193C22×Dic7—21no—
194C22×Dic7—21no—
195C22×Dic7—22no—
196C7×C4⋊C4—22no—
197C7×C4⋊C4—22no—
198C7×C4⋊C4—21no—
199C7×C4⋊C4—22no—
200C7×C4⋊C4—22no—
201C7×C4⋊C4—21no—
202C7×C4⋊C4—21no—
203C7×C4⋊C4—22no—
204C7×C4⋊C4—22no—
205C7×C4⋊C4—21no—
206C7×C4⋊C4C22⋊C411yescharacteristic
207C7×C4⋊C4C22⋊C411yescharacteristic
208C7×C4⋊C4C22⋊C412yes—
209C7×C4⋊C4C22×C411yescharacteristic
210C7×C4⋊C4C22×C411yescharacteristic
211C7×C4⋊C4C22×C412yes—
212C7×C4⋊C4C22×C412yes—
213C7×C22⋊C4—22no—
214C7×C22⋊C4—22no—
215C7×C22⋊C4—22no—
216C7×C22⋊C4—22no—
217C7×C22⋊C4—21no—
218C7×C22⋊C4—22no—
219C7×C22⋊C4—22no—
220C7×C22⋊C4—21no—
221C7×C22⋊C4—21no—
222C7×C22⋊C4—22no—
223C7×C22⋊C4C22⋊C412yes—
224C7×C22⋊C4C22⋊C412yes—
225C7×C22⋊C4C22⋊C412yes—
226C7×C22⋊C4C22⋊C412yes—
227C42×C7—22no—
228C42×C7—21no—
229C42×C7—22no—
230C42×C7—21no—
231C42×C7—21no—
232C42×C7—22no—
233C42×C7C22×C411yescharacteristic
234C42×C7C22×C411yescharacteristic
235C42×C7C2×D411yescharacteristic
236C42×C7C2×D411yescharacteristic
237C22⋊Dic7—44no—
238C22⋊Dic7—44no—
239C4⋊Dic7—44no—
240C4⋊Dic7—42no—
241C4×Dic7—21no—
242C4×Dic7—21no—
243C4×Dic7—22no—
244C4×Dic7—22no—
245C4×Dic7—21no—
246C4×Dic7—42no—
247C4×Dic7—42no—
248C4×Dic7#4112yescomplemented
249#1136—21no—
250#1136—21no—
251#1136—22no—
252#1136—22no—
253#1136—21no—
254#1136—44no—
255#1136#4112yescomplemented
256C2×C7⋊C8—21no—
257C2×C7⋊C8—21no—
258C2×C7⋊C8—22no—
259C2×C7⋊C8—44no—
260C22×M16—72no—
261#556Dic711yescharacteristic, complemented
262#555Dic711yescharacteristic, complemented
263#554Dic711yescharacteristic, complemented
264#553Dic712yescomplemented
265#552—21no—
266#552Dic712yescomplemented
267#551—22no—
268#547Dic711yescharacteristic, complemented
269#546—21no—
270#533C2×D711yescharacteristic
271#529—22no—
272#529—21no—
273#525C2×D712yes—
274C4×#41—21no—
275C4×#41C2×D711yescharacteristic
276C2×C4×D4C2×D711yescharacteristic
277C2×#117—72no—
278C2×#117C2×D712yes—
279#436—141no—
280#435—142no—
281C8×D4—141no—
282#423—71no—
283C2×#104—71no—
284C2×#104—71no—
285C2×#104—72no—
286#407—72no—
287C4×M16—71no—
288#390—141no—
289#389—141no—
290#388—142no—
291C4×C4⋊C4—71no—
292C4×C22⋊C4—72no—
293C43—71no—
294#339—72no—
295#339—71no—
296#339—72no—
297#339—72no—
298#339—72no—
299#339—72no—
300#339—71no—
301C23×C7—22no—
302C23×C7—22no—
303C23×C7—21no—
304C23×C7—42no—
305C23×C7—42no—
306C23×C7C2×C22⋊C412yes—
307C23×C7C2×C22⋊C412yes—
308C23×C7C22×D411yescharacteristic
309C7×Q8—21no—
310C7×Q8—21no—
311C7×Q8—42no—
312C7×Q8—81no—
313C7×D4—21no—
314C7×D4—21no—
315C7×D4—22no—
316C7×D4—22no—
317C7×D4—42no—
318C7×D4—44no—
319C7×D4—41no—
320C7×D4—41no—
321C7×D4—82no—
322C2×C4×C7—22no—
323C2×C4×C7—22no—
324C2×C4×C7—22no—
325C2×C4×C7—22no—
326C2×C4×C7—22no—
327C2×C4×C7—22no—
328C2×C4×C7—22no—
329C2×C4×C7—22no—
330C2×C4×C7—22no—
331C2×C4×C7—22no—
332C2×C4×C7—22no—
333C2×C4×C7—21no—
334C2×C4×C7—21no—
335C2×C4×C7—21no—
336C2×C4×C7—22no—
337C2×C4×C7—22no—
338C2×C4×C7—41no—
339C2×C4×C7—44no—
340C2×C4×C7—41no—
341C2×C4×C7—41no—
342C2×C4×C7—42no—
343C2×C4×C7—81no—
344C2×C4×C7—82no—
345C2×C4×C7C2×C22⋊C412yes—
346C2×C4×C7C2×C22⋊C411yescharacteristic
347C2×C4×C7C2×C22⋊C411yescharacteristic
348C2×C4×C7C2×C22⋊C411yescharacteristic
349C2×C4×C7C2×C22⋊C412yes—
350C2×C4×C7C2×C22⋊C411yescharacteristic
351C2×C4×C7C23×C411yescharacteristic
352C2×C4×C7C22×D411yescharacteristic
353C2×C4×C7C2×#4111yescharacteristic
354C2×C4×C7C2×#4111yescharacteristic
355C2×C4×C7H(5,𝔽2)11yescharacteristic
356C2×C4×C72−1+411yescharacteristic
357C2×Dic7—22no—
358C2×Dic7—22no—
359C2×Dic7—41no—
360C2×Dic7—41no—
361C2×Dic7—41no—
362C2×Dic7—41no—
363C2×Dic7—42no—
364C2×Dic7—42no—
365C2×Dic7—42no—
366C7⋊C8—22no—
367C7⋊C8—42no—
368C7⋊C8—41no—
369C2×#41—21no—
370C2×#41C22×D711yescharacteristic
371C22×D4C22⋊D711yescharacteristic
372C23×C4C22×D712yes—
373C2×M16—71no—
374C2×M16—72no—
375C2×M16—71no—
376C2×M16—142no—
377C2×M16—144no—
378C2×M16—282no—
379C22×C8—142no—
380C4⋊Q8C2×Dic711yescharacteristic
381C4⋊Q8C2×Dic711yescharacteristic
382#126—22no—
383#126—22no—
384#126—22no—
385#125—22no—
386#125—21no—
387#125C2×Dic712yes—
388#124—21no—
389#124—22no—
390#123—22no—
391#123—22no—
392#123—22no—
393#123—22no—
394C22⋊Q8—21no—
395C22⋊Q8—21no—
396C22⋊Q8—21no—
397C22⋊Q8—22no—
398C22⋊Q8C2×Dic712yes—
399C22⋊Q8C2×Dic712yes—
400#121—22no—
401#121—21no—
402#121C2×Dic712yes—
403#121C2×Dic712yes—
404#120—22no—
405C4×Q8—21no—
406C4×Q8—21no—
407C4×Q8—21no—
408C4×Q8C2×Dic711yescharacteristic
409C4×Q8C2×Dic711yescharacteristic
410C4×D4—21no—
411C4×D4—22no—
412C4×D4—21no—
413C4×D4—21no—
414C4×D4—22no—
415C4×D4—22no—
416C4×D4C2×Dic711yescharacteristic
417C4×D4C2×Dic711yescharacteristic
418C4×D4C2×Dic711yescharacteristic
419C4×D4C2×Dic712yes—
420C4×D4C2×Dic711yescharacteristic
421C4×D4C22⋊D711yescharacteristic
422C4×D4C22⋊D711yescharacteristic
423C4×D4C22⋊D712yes—
424#117—22no—
425#117—22no—
426#117—21no—
427#117—22no—
428#117—21no—
429#117—144no—
430#117—282no—
431#117C2×Dic712yes—
432#117C2×Dic712yes—
433#117C22×D711yescharacteristic
434#117C22×D712yes—
435C2×C4⋊C4—142no—
436C2×C4⋊C4—141no—
437C2×C4⋊C4C2×Dic712yes—
438C2×C4⋊C4C2×Dic712yes—
439C2×C4⋊C4C22⋊D711yescharacteristic
440C2×C22⋊C4—22no—
441C2×C22⋊C4—142no—
442C2×C22⋊C4—142no—
443C2×C22⋊C4C22⋊D712yes—
444C2×C42—22no—
445C2×C42—21no—
446C2×C42—71no—
447C2×C42—72no—
448C2×C42—71no—
449C2×C42—141no—
450C2×C42—141no—
451C2×C42C22×D711yescharacteristic
452C4⋊C8—141no—
453C4⋊C8—141no—
454#104—142no—
455#104—142no—
456#104—282no—
457C22⋊C8—142no—
458C22⋊C8—142no—
459#97—141no—
460C4×C8—141no—
461#95—142no—
462#95—141no—
463C22×C7—21no—
464C22×C7—21no—
465C22×C7—22no—
466C22×C7—22no—
467C22×C7—22no—
468C22×C7—22no—
469C22×C7—22no—
470C22×C7—22no—
471C22×C7—41no—
472C22×C7—41no—
473C22×C7—41no—
474C22×C7—82no—
475C22×C7—82no—
476C22×C7C22×C22⋊C411yescharacteristic
477C22×C7#54611yescharacteristic
478C22×C7#54711yescharacteristic
479C4×C7—22no—
480C4×C7—22no—
481C4×C7—21no—
482C4×C7—21no—
483C4×C7—21no—
484C4×C7—41no—
485C4×C7—41no—
486C4×C7—42no—
487C4×C7—41no—
488C4×C7—42no—
489C4×C7#42112yes—
490C4×C7C4×#4111yescharacteristic
491C4×C7#52011yescharacteristic
492C4×C7#54611yescharacteristic
493C4×C7#54711yescharacteristic
494Dic7—42no—
495Dic7—42no—
496Dic7—82no—
497C24C2×C22⋊D712yes—
498#41—21no—
499#41—21no—
500#41—21no—
501#41—21no—
502#41—44no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8C22×Dic711yescharacteristic
506C2×D4—22no—
507C2×D4—21no—
508C2×D4—22no—
509C2×D4—42no—
510C2×D4C22⋊Dic711yescharacteristic
511C2×D4C22⋊Dic711yescharacteristic
512C2×D4C22⋊Dic712yes—
513C2×D4C22×Dic711yescharacteristic
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—141no—
524C22×C4—141no—
525C22×C4—142no—
526C22×C4C22×Dic712yes—
527C22×C4C22×Dic712yes—
528C22×C4C2×C22⋊D712yes—
529C22×C4C2×C22⋊D711yescharacteristic
530C22×C4C2×C22⋊D712yes—
531C22×C4C2×C22⋊D712yes—
532C22×C4C2×C22⋊D711yescharacteristic
533C22×C4C23×D711yescharacteristic
534M16—72no—
535M16—141no—
536M16—141no—
537M16—142no—
538M16—142no—
539M16—141no—
540M16—284no—
541C2×C8—141no—
542C2×C8—141no—
543C2×C8—142no—
544C2×C8—284no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—21no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—21no—
555C4⋊C4—284no—
556C4⋊C4—282no—
557C4⋊C4C22⋊Dic711yescharacteristic
558C4⋊C4C22⋊Dic711yescharacteristic
559C4⋊C4C22⋊Dic712yes—
560C4⋊C4C22×Dic711yescharacteristic
561C4⋊C4C22×Dic711yescharacteristic
562C4⋊C4C22×Dic712yes—
563C4⋊C4C22×Dic712yes—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—22no—
568C22⋊C4—21no—
569C22⋊C4—22no—
570C22⋊C4—22no—
571C22⋊C4—21no—
572C22⋊C4—21no—
573C22⋊C4—22no—
574C22⋊C4—284no—
575C22⋊C4—284no—
576C22⋊C4C22⋊Dic712yes—
577C22⋊C4C22⋊Dic712yes—
578C22⋊C4C22⋊Dic712yes—
579C22⋊C4C22⋊Dic712yes—
580C42—22no—
581C42—21no—
582C42—22no—
583C42—21no—
584C42—21no—
585C42—22no—
586C42—72no—
587C42—141no—
588C42—141no—
589C42—142no—
590C42—142no—
591C42—141no—
592C42—282no—
593C42—282no—
594C42C22×Dic711yescharacteristic
595C42C22×Dic711yescharacteristic
596C42C2×C22⋊D711yescharacteristic
597C42C2×C22⋊D711yescharacteristic
598C2×C7—21no—
599C2×C7—21no—
600C2×C7—42no—
601C2×C7—42no—
602C2×C7—81no—
603C2×C7#233911yescharacteristic
604C2×C7C2×#42111yescharacteristic
605C2×C7#290111yescharacteristic
606C23—22no—
607C23—22no—
608C23—21no—
609C23—42no—
610C23—42no—
611C23C2×C22⋊Dic712yes—
612C23C2×C22⋊Dic712yes—
613C23C22×C22⋊D711yescharacteristic
614Q8—21no—
615Q8—21no—
616Q8—42no—
617Q8—81no—
618D4—21no—
619D4—21no—
620D4—22no—
621D4—22no—
622D4—42no—
623D4—44no—
624D4—41no—
625D4—41no—
626D4—82no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—41no—
644C2×C4—44no—
645C2×C4—41no—
646C2×C4—42no—
647C2×C4—41no—
648C2×C4—81no—
649C2×C4—82no—
650C2×C4—142no—
651C2×C4—142no—
652C2×C4—281no—
653C2×C4—281no—
654C2×C4—281no—
655C2×C4—281no—
656C2×C4—282no—
657C2×C4—282no—
658C2×C4—282no—
659C2×C4C2×C22⋊Dic712yes—
660C2×C4C2×C22⋊Dic711yescharacteristic
661C2×C4C2×C22⋊Dic711yescharacteristic
662C2×C4C2×C22⋊Dic711yescharacteristic
663C2×C4C2×C22⋊Dic712yes—
664C2×C4C2×C22⋊Dic711yescharacteristic
665C2×C4D7×#4111yescharacteristic
666C2×C4D7×#4111yescharacteristic
667C2×C4#655311yescharacteristic
668C2×C4#655411yescharacteristic
669C2×C4C23×Dic711yescharacteristic
670C2×C4C22×C22⋊D711yescharacteristic
671C8—142no—
672C8—281no—
673C8—282no—
674C7#2250711yescharacteristic, complemented, Sylow
675C22—21no—
676C22—21no—
677C22—22no—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—82no—
687C22—82no—
688C22#9051511yescharacteristic
689C22#9052011yescharacteristic
690C22C22×C22⋊Dic711yescharacteristic
691C4—21no—
692C4—22no—
693C4—22no—
694C4—21no—
695C4—21no—
696C4—41no—
697C4—42no—
698C4—41no—
699C4—41no—
700C4—42no—
701C4—282no—
702C4—282no—
703C4—562no—
704C4#9000812yes—
705C4#9051511yescharacteristic
706C4#41×Dic711yescharacteristic
707C4#9051811yescharacteristic
708C4#9052011yescharacteristic
709C2—21no—
710C2—21no—
711C2—42no—
712C2—42no—
713C2—81no—
714C2C2×#9000811yescharacteristic
715C2#1174153311yescharacteristic
716C2#1174156511yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
Fitting, prime radicalC7×#3475C2
socleC22×C7C22×C22⋊C4
cosocleC22×C4×C7C24
hypercenter#3475D7
hypocenterC7#22507
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C2×C4 ◁ C2×C4×D4 ◁ #3475

Complements

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

NH ≅ G/Ntype
2. #11739764C2semidirect
3. D4×#1136C2semidirect
4. #11729595C2semidirect
5. #11729593C2semidirect
6. #11729467C2semidirect
7. #11729466C2semidirect
8. #11729400C2semidirect
9. C4×#6411C2semidirect
10. #11729344C2semidirect
11. #11729328C2semidirect
12. C7×#556C4semidirect
13. C7×#555C4semidirect
14. C7×#554C4semidirect
15. C7×#553C4semidirect
17. C7×#552C4semidirect
19. C7×#547C4semidirect
248. C4×Dic7#41semidirect
255. #1136#41semidirect
261. #556Dic7semidirect
262. #555Dic7semidirect
263. #554Dic7semidirect
264. #553Dic7semidirect
266. #552Dic7semidirect
268. #547Dic7semidirect
674. C7#22507semidirect

Maximal subgroups

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

subgroupindex
C7×#34752
#117397642
D4×#11362
#117295952
#117295932
#117294672
#117294662
#117294002
C4×#64112
#117293442
#117293282
#225077