Finite Group Databasebeta

← #13360532

Subgroups — #13360532

Order 1792.

1066 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2324C211yesmaximal, characteristic, complemented
2C2×#89811C211yesmaximal, characteristic
3C2×#89786C211yesmaximal, characteristic, complemented
4#11739681C211yesmaximal, characteristic, complemented
5C2×#89769C211yesmaximal, characteristic, complemented
6#11729435C211yesmaximal, characteristic, complemented
7C4×#6406C211yesmaximal, characteristic, complemented
8#11727401C211yesmaximal, characteristic, complemented
9#11727399C211yesmaximal, characteristic, complemented
10#11727372C211yesmaximal, characteristic, complemented
11#11727371C211yesmaximal, characteristic, complemented
12#11727269C211yesmaximal, characteristic, complemented
13#11727267C211yesmaximal, characteristic, complemented
14#11727235C211yesmaximal, characteristic, complemented
15C4×#6383C211yesmaximal, characteristic, complemented
16C2×C7×#121C2211yescharacteristic
17C2×C4×C7×D4C2211yescharacteristic
18C2×C7×#117C2211yescharacteristic
19C22×#1141C2211yescharacteristic
20C2×#6493C2211yescharacteristic
21C22×#1136C2211yescharacteristic
22C23×C7⋊C8C2211yescharacteristic
23C2×C4×D28C2211yescharacteristic
24C7×#390—21no—
25C7×#390C2211yescharacteristic
26C7×#389C2211yescharacteristic
27C7×#388—21no—
28C7×#386—21no—
29C7×#385—21no—
30C7×#380C2211yescharacteristic
31C4×C7×C4⋊C4C2211yescharacteristic
32C2×#6406C2211yescharacteristic
33C2×#6406C2211yescharacteristic
34C2×#6406C2211yescharacteristic
35#89984C2211yescharacteristic
36#89811C418yescomplemented
37#89786—24no—
38#89769—24no—
39#89762—21no—
40#89761—21no—
41C2×#6383C2211yescharacteristic
42C2×#6383C2211yescharacteristic
43C2×#6383C2211yescharacteristic
44C2×#6382C2211yescharacteristic
45C2×#6382C2211yescharacteristic
46C2×#6381C2211yescharacteristic
47#89729—21no—
48#89728—21no—
49#89711C2211yescharacteristic
50C4×C4⋊Dic7C2211yescharacteristic
51#89700C2211yescharacteristic
52C2×#6377C2211yescharacteristic
53C2×#6377C2211yescharacteristic
54C2×C4×C7⋊C8C2211yescharacteristic
55C2×C4×C7⋊C8C2211yescharacteristic
56#89324C2211yescharacteristic
57#89324C2211yescharacteristic
58#89324C2211yescharacteristic
59#89324C2211yescharacteristic
60#89324C2211yescharacteristic
61#89324C2211yescharacteristic
62#21541—71nomaximal, Sylow
63C22×C7×D4—21no—
64C22×C7×D4C2311yescharacteristic
65C23×C4×C7—21no—
66C23×C4×C7C2311yescharacteristic
67C22×C22⋊D7—21no—
68C22×D28C2311yescharacteristic
69C22×C4×D7—21no—
70C7×#121—22no—
71C7×#121C2×C414yescomplemented
72C4×C7×D4—22no—
73C4×C7×D4—22no—
74C7×#117—22no—
75C7×#117—22no—
76C2×C7×C4⋊C4—21no—
77C2×C7×C4⋊C4D411yescharacteristic
78C2×C7×C4⋊C4D411yescharacteristic
79C2×C7×C4⋊C4C2311yescharacteristic
80C2×C7×C4⋊C4C2311yescharacteristic
81C2×C7×C4⋊C4C2311yescharacteristic
82C2×C7×C22⋊C4—21no—
83C2×C7×C22⋊C4—21no—
84C2×C7×C22⋊C4—21no—
85C2×C7×C22⋊C4—21no—
86C2×C7×C22⋊C4—21no—
87C2×C7×C22⋊C4D411yescharacteristic
88C2×C7×C22⋊C4D411yescharacteristic
89C2×C42×C7—21no—
90C2×C42×C7C2311yescharacteristic
91C2×C42×C7C2311yescharacteristic
92C2×C22⋊Dic7—21no—
93C2×#1141—22no—
94C2×#1141—22no—
95C2×#1141C2×C414yes—
96#6493—22no—
97#6493C2×C414yescomplemented
98C2×(C2×D7)⋊C4—21no—
99C2×(C2×D7)⋊C4—21no—
100C2×(C2×D7)⋊C4—21no—
101C2×(C2×D7)⋊C4—21no—
102C2×C4⋊Dic7C2311yescharacteristic
103C2×C4⋊Dic7C2311yescharacteristic
104C2×C4⋊Dic7C2311yescharacteristic
105C2×Dic7⋊C4—21no—
106C2×C4×Dic7—21no—
107C2×#1136—22no—
108C2×#1136—22no—
109C2×#1136C2×C414yescomplemented
110C22×C7⋊C8—22no—
111C22×C7⋊C8—22no—
112C22×C7⋊C8—22no—
113C22×C7⋊C8C2311yescharacteristic
114C22×C7⋊C8C2311yescharacteristic
115C22×C7⋊C8C2311yescharacteristic
116C22×C7⋊C8C2311yescharacteristic
117C4×D28—22no—
118C4×D28—22no—
119C7×#95—21no—
120C7×#95—21no—
121C7×#95—21no—
122#6406—22no—
123#6406—22no—
124#6406C2×C414yescomplemented
125C7⋊#95—21no—
126C7⋊#95—21no—
127C7⋊#95—21no—
128#6383—22no—
129#6383—22no—
130#6383C2×C414yescomplemented
131#6382—22no—
132#6382C2×C414yescomplemented
133#6381—22no—
134#6377—22no—
135#6377D414yescomplemented
136C4×C7⋊C8—22no—
137C4×C7⋊C8—22no—
138C2×#469—71no—
139C2×#442—71no—
140C2×#405—71no—
141#2324—71no—
142#2324D711yescharacteristic, complemented
143#1970—71no—
144#1941—71no—
145#1936—71no—
146#1936—71no—
147#1893—71no—
148#1893—71no—
149#1809—71no—
150#1776—71no—
151C4×#102—71no—
152C4×#102—71no—
153C24×C7—21no—
154C24×C7C2×D411yescharacteristic
155C23×D7—21no—
156C2×C7×D4—24no—
157C2×C7×D4—21no—
158C2×C7×D4—21no—
159C2×C7×D4—21no—
160C2×C7×D4—21no—
161C2×C7×D4—21no—
162C2×C7×D4—81no—
163C2×C7×D4—81no—
164C2×C7×D4C22×C412yes—
165C22×C4×C7—21no—
166C22×C4×C7—21no—
167C22×C4×C7—21no—
168C22×C4×C7—21no—
169C22×C4×C7—21no—
170C22×C4×C7—21no—
171C22×C4×C7—21no—
172C22×C4×C7—42no—
173C22×C4×C7—81no—
174C22×C4×C7—81no—
175C22×C4×C7C22×C412yes—
176C22×C4×C7C2×D411yescharacteristic
177C22×C4×C7C2×D411yescharacteristic
178C22×C4×C7C2×D411yescharacteristic
179C22×C4×C7C2×D411yescharacteristic
180C22×C4×C7C2×D411yescharacteristic
181C22×C4×C7#4112yes—
182C22×C4×C7C2411yescharacteristic
183C2×C22⋊D7—24no—
184C2×C22⋊D7—81no—
185C2×C22⋊D7—81no—
186C22×Dic7—21no—
187C22×Dic7—21no—
188C22×Dic7—21no—
189C2×D28—21no—
190C2×D28—21no—
191C2×D28—21no—
192C2×D28—21no—
193C2×D28—21no—
194C2×D28C22×C412yes—
195C2×C4×D7—42no—
196C2×C4×D7—81no—
197C2×C4×D7—81no—
198C7×C4⋊C4—22no—
199C7×C4⋊C4—22no—
200C7×C4⋊C4—21no—
201C7×C4⋊C4—21no—
202C7×C4⋊C4—21no—
203C7×C4⋊C4—21no—
204C7×C4⋊C4—21no—
205C7×C4⋊C4—81no—
206C7×C4⋊C4C22×C412yes—
207C7×C22⋊C4—24no—
208C7×C22⋊C4—22no—
209C7×C22⋊C4—22no—
210C7×C22⋊C4—42no—
211C7×C22⋊C4—81no—
212C7×C22⋊C4—81no—
213C7×C22⋊C4—81no—
214C42×C7—21no—
215C42×C7—21no—
216C42×C7—81no—
217C42×C7C2×D412yes—
218C42×C7#4112yes—
219C22⋊Dic7—81no—
220#1141—28no—
221(C2×D7)⋊C4—24no—
222(C2×D7)⋊C4—42no—
223(C2×D7)⋊C4—81no—
224(C2×D7)⋊C4—81no—
225C4⋊Dic7—21no—
226C4⋊Dic7—21no—
227C4⋊Dic7—21no—
228C4⋊Dic7—21no—
229C4⋊Dic7—21no—
230C4⋊Dic7C22×C412yes—
231Dic7⋊C4—81no—
232C4×Dic7—81no—
233#1136—28no—
234C2×C7⋊C8—28no—
235C2×C7⋊C8—21no—
236C2×C7⋊C8—21no—
237C2×C7⋊C8—21no—
238C2×C7⋊C8—21no—
239C2×C7⋊C8—21no—
240C2×C7⋊C8—21no—
241C2×C7⋊C8C22×C412yes—
242C2×C7⋊C8C22×C412yes—
243C2×C7⋊C8C2×D412yes—
244C2×C7⋊C8C2×D412yes—
245C2×C7⋊C8#4112yes—
246C2×C7⋊C8#4112yes—
247C22×D8—71no—
248C22×M16—71no—
249C23×C8—71no—
250C2×#121—71no—
251C2×#121C2×D711yescharacteristic
252C2×C4×D4—71no—
253C2×C4×D4C2×D711yescharacteristic
254C2×#117C2×D711yescharacteristic
255#469—78no—
256#442—144no—
257C2×#107—71no—
258C2×#106—71no—
259C2×#106—71no—
260C2×#102—71no—
261C2×#102—71no—
262C2×#102—71no—
263C2×#102—71no—
264C2×#102—71no—
265C2×#102—71no—
266#405—144no—
267C2×#97—71no—
268C2×#97—71no—
269C2×C4×C8—71no—
270C2×C4×C8—71no—
271#390—21no—
272#390—71no—
273#390—141no—
274#390C2×D711yescharacteristic
275#389—71no—
276#389C2×D711yescharacteristic
277#388—21no—
278#388—141no—
279#386—21no—
280#386—141no—
281#385—21no—
282#385—141no—
283#380—71no—
284#380C2×D711yescharacteristic
285C4×C4⋊C4—71no—
286C4×C4⋊C4C2×D711yescharacteristic
287#340—71no—
288#340—71no—
289#340—71no—
290#340—71no—
291#340—71no—
292#340—71no—
293C23×C7—21no—
294C23×C7—21no—
295C23×C7—21no—
296C23×C7—21no—
297C23×C7—21no—
298C23×C7—21no—
299C23×C7—22no—
300C23×C7—41no—
301C23×C7—41no—
302C23×C7—41no—
303C23×C7—41no—
304C23×C7—41no—
305C23×C7—41no—
306C23×C7C4×D412yes—
307C23×C7C22×D411yescharacteristic
308C22×D7—22no—
309C22×D7—41no—
310C22×D7—41no—
311C22×D7—41no—
312C22×D7—41no—
313C22×D7—41no—
314C22×D7—41no—
315C7×D4—22no—
316C7×D4—22no—
317C7×D4—41no—
318C7×D4—41no—
319C7×D4—84no—
320C2×C4×C7—21no—
321C2×C4×C7—21no—
322C2×C4×C7—21no—
323C2×C4×C7—21no—
324C2×C4×C7—21no—
325C2×C4×C7—21no—
326C2×C4×C7—22no—
327C2×C4×C7—22no—
328C2×C4×C7—22no—
329C2×C4×C7—22no—
330C2×C4×C7—22no—
331C2×C4×C7—21no—
332C2×C4×C7—21no—
333C2×C4×C7—21no—
334C2×C4×C7—21no—
335C2×C4×C7—21no—
336C2×C4×C7—21no—
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×C7C4×D412yes—
347C2×C4×C7#12112yes—
348C2×C4×C7#12112yes—
349C2×C4×C7C23×C411yescharacteristic
350C2×C4×C7C22×D411yescharacteristic
351C2×C4×C7C2×#4111yescharacteristic
352C2×C4×C7C2×#4111yescharacteristic
353C2×C4×C7C2×#4111yescharacteristic
354C2×C4×C7C2×#4111yescharacteristic
355C22⋊D7—84no—
356C2×Dic7—22no—
357C2×Dic7—41no—
358C2×Dic7—41no—
359C2×Dic7—41no—
360C2×Dic7—41no—
361C2×Dic7—41no—
362C2×Dic7—41no—
363C2×Dic7—41no—
364C2×Dic7—41no—
365D28—22no—
366D28—22no—
367D28—41no—
368D28—41no—
369C4×D7—84no—
370C7⋊C8—22no—
371C7⋊C8—22no—
372C7⋊C8—22no—
373C7⋊C8C4×D414yes—
374C22×D4—21no—
375C22×D4—71no—
376C22×D4—141no—
377C22×D4C22×D711yescharacteristic
378C23×C4—21no—
379C23×C4—141no—
380C23×C4C22×D711yescharacteristic
381C2×D8—74no—
382C2×D8—142no—
383C2×D8—142no—
384C2×M16—74no—
385C2×M16—142no—
386C2×M16—142no—
387C22×C8—71no—
388C22×C8—71no—
389C22×C8—71no—
390C22×C8—71no—
391C22×C8—142no—
392C22×C8—142no—
393C22×C8—142no—
394#121—22no—
395#121—74no—
396#121—142no—
397#121C4×D714yescomplemented
398C4×D4—22no—
399C4×D4—22no—
400C4×D4—142no—
401C4×D4—142no—
402#117—22no—
403#117—22no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—71no—
406C2×C4⋊C4—71no—
407C2×C4⋊C4—71no—
408C2×C4⋊C4—141no—
409C2×C4⋊C4C22⋊D711yescharacteristic
410C2×C4⋊C4C22⋊D711yescharacteristic
411C2×C4⋊C4C22×D711yescharacteristic
412C2×C4⋊C4C22×D711yescharacteristic
413C2×C4⋊C4C22×D711yescharacteristic
414C2×C22⋊C4—21no—
415C2×C22⋊C4—21no—
416C2×C22⋊C4—21no—
417C2×C22⋊C4—21no—
418C2×C22⋊C4—21no—
419C2×C22⋊C4—141no—
420C2×C22⋊C4—141no—
421C2×C22⋊C4—141no—
422C2×C22⋊C4—141no—
423C2×C22⋊C4—141no—
424C2×C22⋊C4C22⋊D711yescharacteristic
425C2×C22⋊C4C22⋊D711yescharacteristic
426C2×C42—21no—
427C2×C42—141no—
428C2×C42C22×D711yescharacteristic
429C2×C42C22×D711yescharacteristic
430#107—142no—
431#106—74no—
432#106—142no—
433#102—74no—
434#102—74no—
435#102—142no—
436#102—142no—
437#102—142no—
438#102—142no—
439#97—74no—
440#97—142no—
441C4×C8—142no—
442C4×C8—142no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—141no—
447#95—141no—
448#95—141no—
449C22×C7—22no—
450C22×C7—22no—
451C22×C7—22no—
452C22×C7—41no—
453C22×C7—41no—
454C22×C7—41no—
455C22×C7—41no—
456C22×C7—42no—
457C22×C7—42no—
458C22×C7—42no—
459C22×C7—81no—
460C22×C7—81no—
461C22×C7—81no—
462C22×C7—81no—
463C22×C7C2×C4×D411yescharacteristic
464C22×C7C2×#12111yescharacteristic
465C22×C7#53211yescharacteristic
466C22×C7#57611yescharacteristic
467C22×C7#57611yescharacteristic
468C22×C7#57711yescharacteristic
469C22×C7#57711yescharacteristic
470C2×D7—42no—
471C2×D7—42no—
472C2×D7—42no—
473C2×D7—81no—
474C2×D7—81no—
475C2×D7—81no—
476C2×D7—81no—
477C4×C7—22no—
478C4×C7—22no—
479C4×C7—22no—
480C4×C7—42no—
481C4×C7—41no—
482C4×C7—41no—
483C4×C7—81no—
484C4×C7—81no—
485C4×C7C2×C4×D411yescharacteristic
486C4×C7C4×#4111yescharacteristic
487C4×C7#52511yescharacteristic
488C4×C7#52911yescharacteristic
489Dic7—42no—
490Dic7—81no—
491Dic7—81no—
492C24—21no—
493C24—141no—
494C24C2×C22⋊D711yescharacteristic
495C2×D4—24no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—72no—
502C2×D4—81no—
503C2×D4—81no—
504C2×D4—144no—
505C2×D4—141no—
506C2×D4—141no—
507C2×D4—141no—
508C2×D4—141no—
509C2×D4—141no—
510C2×D4—561no—
511C2×D4—561no—
512C2×D4C2×C4×D712yes—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—42no—
521C22×C4—81no—
522C22×C4—81no—
523C22×C4—141no—
524C22×C4—141no—
525C22×C4—141no—
526C22×C4—282no—
527C22×C4—561no—
528C22×C4—561no—
529C22×C4C2×C4×D712yes—
530C22×C4#115712yes—
531C22×C4C2×C22⋊D711yescharacteristic
532C22×C4C2×C22⋊D711yescharacteristic
533C22×C4C2×C22⋊D711yescharacteristic
534C22×C4C2×C22⋊D711yescharacteristic
535C22×C4C2×C22⋊D711yescharacteristic
536C22×C4C23×D711yescharacteristic
537D8—148no—
538M16—148no—
539C2×C8—72no—
540C2×C8—72no—
541C2×C8—72no—
542C2×C8—72no—
543C2×C8—72no—
544C2×C8—72no—
545C2×C8—148no—
546C2×C8—141no—
547C2×C8—141no—
548C2×C8—141no—
549C2×C8—141no—
550C2×C8—141no—
551C2×C8—141no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—72no—
560C4⋊C4—81no—
561C4⋊C4—141no—
562C4⋊C4—141no—
563C4⋊C4—141no—
564C4⋊C4—141no—
565C4⋊C4—141no—
566C4⋊C4—561no—
567C4⋊C4C2×C4×D712yes—
568C22⋊C4—24no—
569C22⋊C4—22no—
570C22⋊C4—22no—
571C22⋊C4—42no—
572C22⋊C4—81no—
573C22⋊C4—81no—
574C22⋊C4—81no—
575C22⋊C4—144no—
576C22⋊C4—282no—
577C22⋊C4—561no—
578C22⋊C4—561no—
579C22⋊C4—561no—
580C42—21no—
581C42—21no—
582C42—81no—
583C42—561no—
584C42D4×D712yes—
585C42#115912yes—
586C2×C7—42no—
587C2×C7—82no—
588C2×C7C4×#12111yescharacteristic
589C2×C7#294611yescharacteristic
590C2×C7#294611yescharacteristic
591C2×C7#306211yescharacteristic
592C2×C7#306211yescharacteristic
593C2×C7#317311yescharacteristic
594C2×C7#317611yescharacteristic
595D7—82no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—22no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—142no—
610C23—281no—
611C23—281no—
612C23—281no—
613C23—281no—
614C23—281no—
615C23—281no—
616C23C4×C22⋊D712yes—
617C23C22×C22⋊D711yescharacteristic
618D4—22no—
619D4—22no—
620D4—41no—
621D4—41no—
622D4—84no—
623D4—142no—
624D4—142no—
625D4—281no—
626D4—281no—
627D4—564no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—84no—
654C2×C4—142no—
655C2×C4—281no—
656C2×C4—281no—
657C2×C4—281no—
658C2×C4—281no—
659C2×C4—281no—
660C2×C4—281no—
661C2×C4—281no—
662C2×C4—281no—
663C2×C4—564no—
664C2×C4C4×C22⋊D712yes—
665C2×C4#650212yes—
666C2×C4#650212yes—
667C2×C4C22×C4×D711yescharacteristic
668C2×C4C2×#115711yescharacteristic
669C2×C4C2×D4×D711yescharacteristic
670C2×C4C2×#115911yescharacteristic
671C2×C4D7×#4111yescharacteristic
672C2×C4D7×#4111yescharacteristic
673C8—74no—
674C8—142no—
675C8—142no—
676C8—142no—
677C7#2154111yescharacteristic, complemented, Sylow
678C22—22no—
679C22—22no—
680C22—22no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—282no—
693C22—282no—
694C22—282no—
695C22—561no—
696C22—561no—
697C22—561no—
698C22—561no—
699C22C2×C4×C22⋊D711yescharacteristic
700C22C2×#650211yescharacteristic
701C22#9052311yescharacteristic
702C22#9052611yescharacteristic
703C22#9052611yescharacteristic
704C22#9052711yescharacteristic
705C22#9052811yescharacteristic
706C4—22no—
707C4—22no—
708C4—22no—
709C4—42no—
710C4—41no—
711C4—41no—
712C4—81no—
713C4—81no—
714C4—282no—
715C4—561no—
716C4—561no—
717C4C4×#115911yescharacteristic
718C4#9022911yescharacteristic
719C4C4×D4×D711yescharacteristic
720C4#9023811yescharacteristic
721C2—42no—
722C2—82no—
723C2—562no—
724C2C4×#650211yescharacteristic
725C2#1173998211yescharacteristic
726C2#1174000911yescharacteristic
727C2#1174082411yescharacteristic
728C2#1174086711yescharacteristic
729C2#1174087711yescharacteristic
730C2#1174090111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC7×#2324C2
socleC23×C7C22×D4
prime radicalC2×#89811C2
cosocleC22×C4×C7C24
hypercenter#2324D7
hypocenterC7#21541
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2324

Complements

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

NH ≅ G/Ntype
1. C7×#2324C2semidirect
3. C2×#89786C2semidirect
4. #11739681C2semidirect
5. C2×#89769C2semidirect
6. #11729435C2semidirect
7. C4×#6406C2semidirect
8. #11727401C2semidirect
9. #11727399C2semidirect
10. #11727372C2semidirect
11. #11727371C2semidirect
12. #11727269C2semidirect
13. #11727267C2semidirect
14. #11727235C2semidirect
15. C4×#6383C2semidirect
36. #89811C4semidirect
71. C7×#121C2×C4semidirect
97. #6493C2×C4semidirect
109. C2×#1136C2×C4semidirect
124. #6406C2×C4semidirect
130. #6383C2×C4semidirect
132. #6382C2×C4semidirect
135. #6377D4semidirect
142. #2324D7semidirect
397. #121C4×D7semidirect
677. C7#21541semidirect

Maximal subgroups

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

subgroupindex
C7×#23242
C2×#898112
C2×#897862
#117396812
C2×#897692
#117294352
C4×#64062
#117274012
#117273992
#117273722
#117273712
#117272692
#117272672
#117272352
C4×#63832
#215417