Finite Group Databasebeta

← #13370025

Subgroups — #13370025

Order 1792.

1162 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#90204C211yesmaximal, characteristic
2C2×(C22⋊D7)⋊C8C211yesmaximal, characteristic
3#11731328C211yesmaximal, characteristic
4C7×#1823C211yesmaximal, characteristic, complemented
5C2×#89324C211yesmaximal, characteristic, complemented
6#11727684C211yesmaximal, characteristic, complemented
7#11727268C211yesmaximal, characteristic, complemented
8#11726659C211yesmaximal, characteristic, complemented
9#11726636C211yesmaximal, characteristic, complemented
10#11726633C211yesmaximal, characteristic, complemented
11#11726627C211yesmaximal, characteristic, complemented
12#11726620C211yesmaximal, characteristic, complemented
13#11726558C211yesmaximal, characteristic, complemented
14#11726556C211yesmaximal, characteristic, complemented
15#11726535C211yesmaximal, characteristic, complemented
16C22×C7×C4⋊C4C2211yescharacteristic
17C2×#6492—21no—
18C2×C4×C22⋊D7C2211yescharacteristic
19C2×#6489—21no—
20C22×C4⋊Dic7C2211yescharacteristic
21C2×#6487C2211yescharacteristic
22C23×C7⋊C8C2211yescharacteristic
23C22×C8×D7C2211yescharacteristic
24#90204—24no—
25#90204C418yescomplemented
26C2×#6461—21no—
27C2×#6460C2211yescharacteristic
28C2×#6455C2211yescharacteristic
29C2×#6455C2211yescharacteristic
30C2×#6453C2211yescharacteristic
31C2×#6452—21no—
32C2×#6450C2211yescharacteristic
33C2×C7×C22⋊C8C2211yescharacteristic
34C7×#380C2211yescharacteristic
35C2×(C2×D7)⋊C8C2211yescharacteristic
36C2×#6390C2211yescharacteristic
37C2×#6390C2211yescharacteristic
38C2×Dic7⋊C8C2211yescharacteristic
39C2×C8×Dic7C2211yescharacteristic
40#89759C2211yescharacteristic
41#89749C2211yescharacteristic
42C4⋊C4×Dic7C2211yescharacteristic
43C2×#6384C2211yescharacteristic
44C2×#6384C2211yescharacteristic
45#89730—21no—
46C22⋊C4×Dic7—21no—
47(C22⋊D7)⋊C8—24no—
48#89442—21no—
49#89427—21no—
50C7×#340C2211yescharacteristic
51C7×#340C2211yescharacteristic
52C7×#340C2211yescharacteristic
53C7×#340C2211yescharacteristic
54#89346C2211yescharacteristic
55#89346C2211yescharacteristic
56#89324C2211yescharacteristic
57#89324C2211yescharacteristic
58#89324C2211yescharacteristic
59#89324C2211yescharacteristic
60#89324C2211yescharacteristic
61#89324C2211yescharacteristic
62#22486—71nomaximal, Sylow
63C23×C4×C7—21no—
64C23×C4×C7C2311yescharacteristic
65C22×C22⋊D7D411yescharacteristic
66C23×Dic7—21no—
67C22×C4×D7C2311yescharacteristic
68C22×Dic14C2311yescharacteristic
69C22×C7×C8C2311yescharacteristic
70C22×C7×C8C2311yescharacteristic
71C2×C7×C4⋊C4—21no—
72C2×C7×C4⋊C4—22no—
73C2×C7×C4⋊C4C2×C414yes—
74C2×C7×C4⋊C4C2311yescharacteristic
75C2×C7×C4⋊C4C2311yescharacteristic
76C2×C7×C4⋊C4C2311yescharacteristic
77C2×C7×C4⋊C4C2311yescharacteristic
78C2×C7×C22⋊C4—21no—
79C2×C22⋊Dic7—21no—
80C2×C22⋊Dic7D411yescharacteristic
81#6492—28no—
82C4×C22⋊D7C2×C414yes—
83C4×C22⋊D7D414yes—
84C2×(C2×D7)⋊C4—21no—
85C2×(C2×D7)⋊C4—21no—
86C2×(C2×D7)⋊C4—21no—
87C2×(C2×D7)⋊C4—21no—
88C2×(C2×D7)⋊C4D411yescharacteristic
89#6489—28no—
90C2×C4⋊Dic7—21no—
91C2×C4⋊Dic7—21no—
92C2×C4⋊Dic7—22no—
93C2×C4⋊Dic7—21no—
94C2×C4⋊Dic7—41no—
95C2×C4⋊Dic7C2311yescharacteristic
96C2×C4⋊Dic7C2311yescharacteristic
97C2×C4⋊Dic7C2311yescharacteristic
98#6487—22no—
99#6487C2×C414yes—
100C2×Dic7⋊C4—21no—
101C2×Dic7⋊C4—21no—
102C2×Dic7⋊C4—21no—
103C2×Dic7⋊C4D411yescharacteristic
104C2×C4×Dic7—21no—
105C2×C4×Dic7—21no—
106C2×C4×Dic7—21no—
107C2×C4×Dic7—21no—
108C2×C4×Dic7C2311yescharacteristic
109C22×C7⋊C8—22no—
110C22×C7⋊C8—22no—
111C22×C7⋊C8—41no—
112C22×C7⋊C8C2311yescharacteristic
113C22×C7⋊C8C2311yescharacteristic
114C2×C8×D7—22no—
115C2×C8×D7—22no—
116C2×C8×D7—41no—
117#6461—28no—
118#6460—22no—
119#6460C2×C414yescomplemented
120#6455—22no—
121#6455—22no—
122#6455—41no—
123#6455C2×C414yescomplemented
124#6453—22no—
125#6453C2×C414yescomplemented
126#6452—28no—
127#6450—22no—
128#6450C2×C414yescomplemented
129C7×C22⋊C8—22no—
130C7×#95—21no—
131C7⋊#95—21no—
132C7⋊#95—21no—
133C7⋊#95—21no—
134C7⋊#95—21no—
135(C2×D7)⋊C8—22no—
136#6390—22no—
137#6390—41no—
138Dic7⋊C8—22no—
139C8×Dic7—22no—
140#6384—22no—
141#6384—41no—
142C2×#552—71no—
143C2×C8×D4—71no—
144#2352—71no—
145#1991—71no—
146#1989—71no—
147#1892—71no—
148#1892—71no—
149#1873—71no—
150#1872—71no—
151#1825—71no—
152#1823D711yescharacteristic, complemented
153#1805—71no—
154C4×#103—71no—
155#1735—71no—
156C2×#340—71no—
157C24×C7C2×D411yescharacteristic
158C23×D7C2×D411yescharacteristic
159C22×C4×C7—21no—
160C22×C4×C7—21no—
161C22×C4×C7—21no—
162C22×C4×C7—21no—
163C22×C4×C7—24no—
164C22×C4×C7—21no—
165C22×C4×C7—21no—
166C22×C4×C7—21no—
167C22×C4×C7—21no—
168C22×C4×C7—42no—
169C22×C4×C7—42no—
170C22×C4×C7C22×C412yes—
171C22×C4×C7C2×D411yescharacteristic
172C22×C4×C7C2×D412yes—
173C22×C4×C7C2411yescharacteristic
174C2×C22⋊D7—22no—
175C2×C22⋊D7—22no—
176C2×C22⋊D7C22⋊C414yes—
177C22×Dic7—21no—
178C22×Dic7—21no—
179C22×Dic7—21no—
180C22×Dic7—21no—
181C22×Dic7—42no—
182C22×Dic7—42no—
183C22×Dic7—81no—
184C22×Dic7C2×D411yescharacteristic
185C22×Dic7C2×D411yescharacteristic
186C22×Dic7C2×D411yescharacteristic
187C2×C4×D7—21no—
188C2×C4×D7—21no—
189C2×C4×D7—21no—
190C2×C4×D7—21no—
191C2×C4×D7C22×C412yes—
192C2×C4×D7C2×D412yes—
193C2×Dic14—21no—
194C2×Dic14—21no—
195C2×Dic14—21no—
196C2×Dic14—21no—
197C2×Dic14—21no—
198C2×Dic14C22×C412yes—
199C2×C7×C8—21no—
200C2×C7×C8—21no—
201C2×C7×C8—21no—
202C2×C7×C8—21no—
203C2×C7×C8—21no—
204C2×C7×C8—21no—
205C7×C4⋊C4—24no—
206C7×C4⋊C4—21no—
207C7×C4⋊C4—21no—
208C7×C4⋊C4—21no—
209C7×C4⋊C4—21no—
210C7×C4⋊C4—21no—
211C7×C4⋊C4—21no—
212C7×C4⋊C4C22×C412yes—
213C7×C4⋊C4C22×C412yes—
214C7×C22⋊C4—42no—
215C22⋊Dic7—24no—
216C22⋊Dic7C22⋊C414yes—
217(C2×D7)⋊C4—24no—
218(C2×D7)⋊C4—24no—
219(C2×D7)⋊C4—42no—
220(C2×D7)⋊C4—81no—
221(C2×D7)⋊C4C22⋊C414yes—
222C4⋊Dic7—21no—
223C4⋊Dic7—21no—
224C4⋊Dic7—24no—
225C4⋊Dic7—24no—
226C4⋊Dic7—21no—
227C4⋊Dic7—21no—
228C4⋊Dic7—42no—
229C4⋊Dic7C22×C412yes—
230C4⋊Dic7#4112yes—
231Dic7⋊C4—24no—
232Dic7⋊C4—24no—
233Dic7⋊C4—24no—
234Dic7⋊C4C22⋊C414yes—
235C4×Dic7—24no—
236C4×Dic7—24no—
237C4×Dic7—42no—
238C4×Dic7—81no—
239C4×Dic7C22×C412yes—
240C4×Dic7C2×D412yes—
241C2×C7⋊C8—21no—
242C2×C7⋊C8—21no—
243C2×C7⋊C8—21no—
244C2×C7⋊C8—21no—
245C2×C7⋊C8—21no—
246C2×C7⋊C8—44no—
247C2×C7⋊C8#4112yes—
248C8×D7—44no—
249C23×C8—71no—
250C23×C8—71no—
251#552—78no—
252#552—144no—
253C2×#126—141no—
254C2×#125—71no—
255C2×#125—141no—
256C2×#123—141no—
257C2×C22⋊Q8—71no—
258C2×C22⋊Q8—71no—
259C2×C4×Q8—71no—
260C2×C4×D4—71no—
261C2×#117—71no—
262C2×#117—71no—
263C2×#117—141no—
264C22×C4⋊C4—71no—
265C22×C4⋊C4C2×D711yescharacteristic
266C8×D4—144no—
267C2×C4⋊C8—71no—
268C2×#103—71no—
269C2×#103—71no—
270C2×#103—71no—
271C2×#103—71no—
272C2×C22⋊C8—71no—
273C2×C22⋊C8C2×D711yescharacteristic
274C2×C4×C8—71no—
275#388—141no—
276#387—141no—
277#386—141no—
278#382—71no—
279#380—71no—
280#380C2×D711yescharacteristic
281C4×C4⋊C4—71no—
282C4×C22⋊C4—141no—
283#340—71no—
284#340—71no—
285#340—71no—
286#340—71no—
287#340—71no—
288#340—71no—
289#340—71no—
290#340—71no—
291#340C2×D711yescharacteristic
292#340C2×D711yescharacteristic
293#340C2×D711yescharacteristic
294#340C2×D711yescharacteristic
295C23×C7—21no—
296C23×C7—21no—
297C23×C7—21no—
298C23×C7—21no—
299C23×C7C2×C22⋊C412yes—
300C23×C7#13512yes—
301C23×C7#13512yes—
302C23×C7C22×D411yescharacteristic
303C22×D7—21no—
304C22×D7—21no—
305C22×D7—21no—
306C22×D7—21no—
307C22×D7—21no—
308C22×D7—21no—
309C22×D7C2×C22⋊C412yes—
310C2×C4×C7—21no—
311C2×C4×C7—21no—
312C2×C4×C7—22no—
313C2×C4×C7—22no—
314C2×C4×C7—22no—
315C2×C4×C7—22no—
316C2×C4×C7—22no—
317C2×C4×C7—22no—
318C2×C4×C7—41no—
319C2×C4×C7—41no—
320C2×C4×C7—41no—
321C2×C4×C7—41no—
322C2×C4×C7—48no—
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×C7C2×C22⋊C412yes—
330C2×C4×C7C23×C411yescharacteristic
331C2×C4×C7C22×D411yescharacteristic
332C2×C4×C7C2×#4111yescharacteristic
333C2×C4×C7C2×#4111yescharacteristic
334C2×C4×C7H(5,𝔽2)11yescharacteristic
335C2×C4×C72−1+411yescharacteristic
336C22⋊D7—28no—
337C2×Dic7—21no—
338C2×Dic7—21no—
339C2×Dic7—21no—
340C2×Dic7—21no—
341C2×Dic7—21no—
342C2×Dic7—21no—
343C2×Dic7—22no—
344C2×Dic7—22no—
345C2×Dic7—22no—
346C2×Dic7—41no—
347C2×Dic7—41no—
348C2×Dic7—41no—
349C2×Dic7—41no—
350C2×Dic7—41no—
351C2×Dic7—41no—
352C2×Dic7—41no—
353C2×Dic7—41no—
354C2×Dic7—41no—
355C2×Dic7—84no—
356C2×Dic7C2×C22⋊C412yes—
357C2×Dic7C2×C22⋊C412yes—
358C2×Dic7C2×C22⋊C412yes—
359C4×D7—22no—
360C4×D7—22no—
361C4×D7—22no—
362C4×D7—22no—
363Dic14—22no—
364Dic14—22no—
365Dic14—41no—
366Dic14—41no—
367C7×C8—41no—
368C7×C8—41no—
369C7⋊C8—22no—
370C7⋊C8—41no—
371C22×Q8—71no—
372C22×D4—71no—
373C23×C4—21no—
374C23×C4—71no—
375C23×C4—141no—
376C23×C4C22×D711yescharacteristic
377C22×C8—71no—
378C22×C8—71no—
379C22×C8—142no—
380C22×C8—142no—
381C22×C8—142no—
382C22×C8—142no—
383C22×C8—281no—
384C22×C8—281no—
385C22×C8C22×D711yescharacteristic
386C22×C8C22×D711yescharacteristic
387#126—148no—
388#125—74no—
389#125—142no—
390#125—148no—
391#123—148no—
392C22⋊Q8—74no—
393C22⋊Q8—74no—
394C22⋊Q8—142no—
395C22⋊Q8—142no—
396C4×Q8—74no—
397C4×Q8—142no—
398C4×D4—74no—
399C4×D4—74no—
400#117—74no—
401#117—148no—
402#117—142no—
403#117—142no—
404#117—281no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—22no—
407C2×C4⋊C4—71no—
408C2×C4⋊C4—71no—
409C2×C4⋊C4—71no—
410C2×C4⋊C4—71no—
411C2×C4⋊C4—142no—
412C2×C4⋊C4—141no—
413C2×C4⋊C4—141no—
414C2×C4⋊C4—141no—
415C2×C4⋊C4—141no—
416C2×C4⋊C4—141no—
417C2×C4⋊C4—141no—
418C2×C4⋊C4—281no—
419C2×C4⋊C4C4×D714yes—
420C2×C4⋊C4C22×D711yescharacteristic
421C2×C4⋊C4C22×D711yescharacteristic
422C2×C4⋊C4C22×D711yescharacteristic
423C2×C4⋊C4C22×D711yescharacteristic
424C2×C22⋊C4—21no—
425C2×C22⋊C4—71no—
426C2×C22⋊C4—71no—
427C2×C22⋊C4—141no—
428C2×C22⋊C4—141no—
429C2×C22⋊C4—141no—
430C2×C22⋊C4—141no—
431C2×C22⋊C4—141no—
432C2×C42—71no—
433C2×C42—141no—
434C2×C42—141no—
435C2×C42—141no—
436C2×C42—141no—
437C4⋊C8—142no—
438#103—142no—
439#103—142no—
440#103—281no—
441#103—281no—
442C22⋊C8—22no—
443C22⋊C8—142no—
444C4×C8—142no—
445#95—21no—
446#95—141no—
447#95—141no—
448#95—141no—
449#95—141no—
450C22×C7—22no—
451C22×C7—22no—
452C22×C7—22no—
453C22×C7—22no—
454C22×C7—22no—
455C22×C7—22no—
456C22×C7#41614yes—
457C22×C7C22×C22⋊C411yescharacteristic
458C22×C7#54611yescharacteristic
459C22×C7#54711yescharacteristic
460C22×C7C2×#13511yescharacteristic
461C22×C7C2×#13511yescharacteristic
462C22×C7#57711yescharacteristic
463C22×C7#57811yescharacteristic
464C2×D7—22no—
465C2×D7—22no—
466C2×D7—22no—
467C2×D7—41no—
468C2×D7—41no—
469C2×D7—41no—
470C2×D7—41no—
471C4×C7—22no—
472C4×C7—42no—
473C4×C7—42no—
474C4×C7—81no—
475C4×C7—81no—
476C4×C7C4×#4111yescharacteristic
477C4×C7#52011yescharacteristic
478C4×C7#54611yescharacteristic
479C4×C7#54711yescharacteristic
480Dic7—22no—
481Dic7—22no—
482Dic7—22no—
483Dic7—42no—
484Dic7—42no—
485Dic7—42no—
486Dic7—81no—
487C24—71no—
488C24D4×D711yescharacteristic
489C2×Q8—72no—
490C2×Q8—141no—
491C2×Q8—141no—
492C2×Q8—141no—
493C2×Q8—141no—
494C2×Q8—141no—
495C2×D4—74no—
496C2×D4—142no—
497C2×D4—142no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—24no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—71no—
510C22×C4—71no—
511C22×C4—71no—
512C22×C4—72no—
513C22×C4—72no—
514C22×C4—141no—
515C22×C4—141no—
516C22×C4—141no—
517C22×C4—141no—
518C22×C4—141no—
519C22×C4—141no—
520C22×C4—141no—
521C22×C4—141no—
522C22×C4—282no—
523C22×C4—282no—
524C22×C4—561no—
525C22×C4C2×C4×D712yes—
526C22×C4D4×D711yescharacteristic
527C22×C4D4×D712yes—
528C22×C4C23×D711yescharacteristic
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—72no—
536C2×C8—141no—
537C2×C8—141no—
538C2×C8—141no—
539C2×C8—141no—
540C2×C8—141no—
541C2×C8—284no—
542C2×C8—284no—
543C4⋊C4—24no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—74no—
551C4⋊C4—72no—
552C4⋊C4—72no—
553C4⋊C4—144no—
554C4⋊C4—144no—
555C4⋊C4—144no—
556C4⋊C4—144no—
557C4⋊C4—144no—
558C4⋊C4—141no—
559C4⋊C4—141no—
560C4⋊C4—141no—
561C4⋊C4—141no—
562C4⋊C4—282no—
563C4⋊C4C2×C4×D712yes—
564C4⋊C4C2×C4×D712yes—
565C22⋊C4—42no—
566C22⋊C4—74no—
567C22⋊C4—74no—
568C22⋊C4—144no—
569C22⋊C4—144no—
570C22⋊C4—144no—
571C22⋊C4—282no—
572C22⋊C4—561no—
573C42—72no—
574C42—72no—
575C42—144no—
576C42—144no—
577C42—282no—
578C42—561no—
579C2×C7—24no—
580C2×C7#233911yescharacteristic
581C2×C7C2×#41611yescharacteristic
582C2×C7#289811yescharacteristic
583C2×C7#329611yescharacteristic
584C2×C7#330011yescharacteristic
585C2×C7#333611yescharacteristic
586C2×C7#333711yescharacteristic
587D7—42no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—72no—
593C23—141no—
594C23—141no—
595C23—141no—
596C23—141no—
597C23—141no—
598C23—141no—
599C23D7×C22⋊C412yes—
600C23#647512yes—
601C23#647912yes—
602C23C2×D4×D711yescharacteristic
603Q8—142no—
604Q8—142no—
605Q8—281no—
606Q8—281no—
607D4—148no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—48no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—72no—
628C2×C4—72no—
629C2×C4—72no—
630C2×C4—141no—
631C2×C4—141no—
632C2×C4—141no—
633C2×C4—141no—
634C2×C4—141no—
635C2×C4—141no—
636C2×C4—142no—
637C2×C4—142no—
638C2×C4—142no—
639C2×C4—142no—
640C2×C4—142no—
641C2×C4—142no—
642C2×C4—142no—
643C2×C4—281no—
644C2×C4—281no—
645C2×C4—281no—
646C2×C4—281no—
647C2×C4—281no—
648C2×C4—281no—
649C2×C4—281no—
650C2×C4—281no—
651C2×C4—281no—
652C2×C4—564no—
653C2×C4D7×C22⋊C412yes—
654C2×C4C22×C4×D711yescharacteristic
655C2×C4C2×D4×D711yescharacteristic
656C2×C4D7×#4111yescharacteristic
657C2×C4D7×#4111yescharacteristic
658C2×C4#655311yescharacteristic
659C2×C4#655411yescharacteristic
660C8—41no—
661C8—41no—
662C8—142no—
663C8—281no—
664C7#2248611yescharacteristic, complemented, Sylow
665C22—22no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—142no—
672C22—142no—
673C22—142no—
674C22—281no—
675C22—281no—
676C22—281no—
677C22—281no—
678C22#8954414yes—
679C22C2×D7×C22⋊C411yescharacteristic
680C22#9034511yescharacteristic
681C22#9034611yescharacteristic
682C22C2×#647511yescharacteristic
683C22C2×#647911yescharacteristic
684C22#9046911yescharacteristic
685C22#9047011yescharacteristic
686C4—22no—
687C4—42no—
688C4—42no—
689C4—81no—
690C4—81no—
691C4—142no—
692C4—142no—
693C4—142no—
694C4—282no—
695C4—282no—
696C4—282no—
697C4—561no—
698C4#9021311yescharacteristic
699C4#9021411yescharacteristic
700C4#9034511yescharacteristic
701C4#9034611yescharacteristic
702C2—24no—
703C2—282no—
704C2#1173156611yescharacteristic
705C2C2×#8954411yescharacteristic
706C2#1173640211yescharacteristic
707C2#1173873711yescharacteristic
708C2#1173875011yescharacteristic
709C2#1173888111yescharacteristic
710C2#1173889011yescharacteristic
subgroupG/H
centerC23C2×D4×D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC7×#1823C2
socleC23×C7C22×D4
prime radicalC22×C22⋊D7D4
cosocleC22×C4×C7C24
hypercenter#1823D7
hypocenterC7#22486
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1823

Complements

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

NH ≅ G/Ntype
4. C7×#1823C2semidirect
5. C2×#89324C2semidirect
6. #11727684C2semidirect
7. #11727268C2semidirect
8. #11726659C2semidirect
9. #11726636C2semidirect
10. #11726633C2semidirect
11. #11726627C2semidirect
12. #11726620C2semidirect
13. #11726558C2semidirect
14. #11726556C2semidirect
15. #11726535C2semidirect
25. #90204C4semidirect
119. #6460C2×C4semidirect
123. #6455C2×C4semidirect
125. #6453C2×C4semidirect
128. #6450C2×C4semidirect
152. #1823D7semidirect
664. C7#22486semidirect

Maximal subgroups

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

subgroupindex
C2×#902042
C2×(C22⋊D7)⋊C82
#117313282
C7×#18232
C2×#893242
#117276842
#117272682
#117266592
#117266362
#117266332
#117266272
#117266202
#117265582
#117265562
#117265352
#224867