Finite Group Databasebeta

← #13411270

Subgroups — #13411270

Order 1792.

1032 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×#2440C211yesmaximal, characteristic, complemented
2C2×#89856C211yesmaximal, characteristic, complemented
3C2×#89738C211yesmaximal, characteristic
4#11731018C211yesmaximal, characteristic
5#11729548C211yesmaximal, characteristic, complemented
6#11729310C211yesmaximal, characteristic, complemented
7#11727389C211yesmaximal, characteristic, complemented
8#11727388C211yesmaximal, characteristic, complemented
9#11727380C211yesmaximal, characteristic, complemented
10#11727379C211yesmaximal, characteristic, complemented
11#11727345C211yesmaximal, characteristic, complemented
12#11727338C211yesmaximal, characteristic, complemented
13#11727276C211yesmaximal, characteristic
14#11727267C211yesmaximal, characteristic, complemented
15#11727204C211yesmaximal, characteristic, complemented
16C22×#1157C2211yescharacteristic
17C2×C7×C4⋊Q8C2211yescharacteristic
18C2×C7×C22⋊Q8—21no—
19C22×C7×C4⋊C4C2211yescharacteristic
20C22×#1136C2211yescharacteristic
21C2×C4×D28C2211yescharacteristic
22C2×C4×D28C2211yescharacteristic
23C7×#398—21no—
24C7×#395—21no—
25C7×#389C2211yescharacteristic
26C7×#389C2211yescharacteristic
27C7×#385—21no—
28C7×#384C2211yescharacteristic
29C7×#380C2211yescharacteristic
30C4×C7×C22⋊C4C2211yescharacteristic
31#89984C2211yescharacteristic
32C2×C22⋊(C7⋊C8)C2211yescharacteristic
33#89856—24no—
34C2×#6384C2211yescharacteristic
35C2×#6384C2211yescharacteristic
36C2×#6384C2211yescharacteristic
37C2×#6384C2211yescharacteristic
38#89738—24no—
39C2×#6383C2211yescharacteristic
40C2×#6383C2211yescharacteristic
41C2×#6383C2211yescharacteristic
42C2×#6383C2211yescharacteristic
43C2×#6382C2211yescharacteristic
44C2×#6382C2211yescharacteristic
45C2×#6382C2211yescharacteristic
46C2×#6381C2211yescharacteristic
47#89728—21no—
48#89728—21no—
49#89701C2211yescharacteristic
50#89701C2211yescharacteristic
51C2×C4⋊(C7⋊C8)C2211yescharacteristic
52C2×C4⋊(C7⋊C8)C2211yescharacteristic
53#89436—21no—
54D7×#95—21no—
55#89324C2211yescharacteristic
56#89324C2211yescharacteristic
57#89324C2211yescharacteristic
58#89324C2211yescharacteristic
59#89319C2211yescharacteristic
60#89319C2211yescharacteristic
61#25978—71nomaximal, Sylow
62C22×C7×Q8—21no—
63C23×C4×C7—21no—
64C23×C4×C7C2311yescharacteristic
65C22×C22⋊D7—21no—
66C2×#1157—22no—
67C2×#1157—22no—
68C2×#1157—22no—
69C2×#1157—41no—
70C2×#1157—41no—
71C2×#1157Q814yescomplemented
72C22×D28C2311yescharacteristic
73C22×C4×D7—21no—
74C22×C4×D7—21no—
75C22×C4×D7—21no—
76C22×Dic14C2311yescharacteristic
77C7×C4⋊Q8—22no—
78C7×C4⋊Q8—41no—
79C7×C22⋊Q8—44no—
80C2×C7×C4⋊C4—22no—
81C2×C7×C4⋊C4—21no—
82C2×C7×C4⋊C4—21no—
83C2×C7×C4⋊C4—21no—
84C2×C7×C4⋊C4—21no—
85C2×C7×C4⋊C4—21no—
86C2×C7×C4⋊C4—21no—
87C2×C7×C4⋊C4—41no—
88C2×C7×C4⋊C4C2311yescharacteristic
89C2×C7×C4⋊C4C2311yescharacteristic
90C2×C7×C4⋊C4C2311yescharacteristic
91C2×C7×C4⋊C4C2311yescharacteristic
92C2×C7×C22⋊C4—21no—
93C2×C7×C22⋊C4D411yescharacteristic
94C2×C7×C22⋊C4D411yescharacteristic
95C2×C42×C7C2311yescharacteristic
96C2×C42×C7C2311yescharacteristic
97C2×C22⋊Dic7—21no—
98C2×(C2×D7)⋊C4—21no—
99C2×(C2×D7)⋊C4—21no—
100C2×C4⋊Dic7C2311yescharacteristic
101C2×C4⋊Dic7C2311yescharacteristic
102C2×#1136—22no—
103C2×#1136—22no—
104C2×#1136—41no—
105C22×C7⋊C8C2311yescharacteristic
106C22×C7⋊C8C2311yescharacteristic
107C22×C7⋊C8C2311yescharacteristic
108C22×C7⋊C8C2311yescharacteristic
109C4×D28—22no—
110C4×D28—22no—
111C4×D28—41no—
112C4×D28—41no—
113C7×#95—21no—
114C7×#95—21no—
115C7×#95—21no—
116C7×#95D411yescharacteristic
117C7×#95D411yescharacteristic
118C7⋊#95—21no—
119C7⋊#95—21no—
120C7⋊#95—21no—
121C7⋊#95—21no—
122C7⋊#95—21no—
123C22⋊(C7⋊C8)—22no—
124#6384—22no—
125#6384—22no—
126#6384—41no—
127#6384—41no—
128#6383—22no—
129#6383—22no—
130#6383—22no—
131#6383D414yes—
132#6382—22no—
133#6382—22no—
134#6382—41no—
135#6381—41no—
136C4⋊(C7⋊C8)—22no—
137C4⋊(C7⋊C8)—41no—
138C2×#476—71no—
139C2×#417—71no—
140#2440D711yescharacteristic, complemented
141#2339—71no—
142#2096—71no—
143#2068—71no—
144#2066—71no—
145#2024—71no—
146#1864—71no—
147#1862—71no—
148#1853—71no—
149#1851—71no—
150#1809—71no—
151#1802—71no—
152#1788—71no—
153C24×C7C2×D411yescharacteristic
154C23×D7—21no—
155C2×C7×Q8—42no—
156C2×C7×Q8—42no—
157C2×C7×Q8—81no—
158C22×C4×C7—21no—
159C22×C4×C7—21no—
160C22×C4×C7—21no—
161C22×C4×C7—21no—
162C22×C4×C7—21no—
163C22×C4×C7—21no—
164C22×C4×C7—21no—
165C22×C4×C7—21no—
166C22×C4×C7—42no—
167C22×C4×C7—42no—
168C22×C4×C7—81no—
169C22×C4×C7C2×D411yescharacteristic
170C22×C4×C7C2×D411yescharacteristic
171C22×C4×C7C2×D411yescharacteristic
172C22×C4×C7C2×D411yescharacteristic
173C22×C4×C7C2×D411yescharacteristic
174C22×C4×C7C2×Q812yes—
175C22×C4×C7#4112yes—
176C22×C4×C7C2411yescharacteristic
177C2×C22⋊D7—24no—
178C2×C22⋊D7—42no—
179C2×C22⋊D7—42no—
180C22×Dic7—21no—
181C22×Dic7—21no—
182C22×Dic7—21no—
183#1157—28no—
184#1157—44no—
185#1157—44no—
186#1157—44no—
187C2×D28—21no—
188C2×D28—21no—
189C2×D28—21no—
190C2×D28C2×D412yes—
191C2×D28C2×Q812yes—
192C2×D28#4112yes—
193C2×C4×D7—24no—
194C2×C4×D7—42no—
195C2×C4×D7—42no—
196C2×C4×D7—42no—
197C2×C4×D7—42no—
198C2×C4×D7—42no—
199C2×C4×D7—42no—
200C2×C4×D7—81no—
201C2×C4×D7—81no—
202C2×Dic14—21no—
203C2×Dic14—21no—
204C2×Dic14—21no—
205C2×Dic14—21no—
206C2×Dic14—21no—
207C2×Dic14C2×Q812yes—
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—42no—
216C7×C4⋊C4—42no—
217C7×C4⋊C4—42no—
218C7×C4⋊C4—42no—
219C7×C4⋊C4—42no—
220C7×C4⋊C4—81no—
221C7×C4⋊C4C2×D412yes—
222C7×C22⋊C4—22no—
223C7×C22⋊C4—22no—
224C7×C22⋊C4—42no—
225C42×C7—21no—
226C42×C7—21no—
227C42×C7—21no—
228C42×C7—21no—
229C22⋊Dic7—81no—
230(C2×D7)⋊C4—42no—
231(C2×D7)⋊C4—42no—
232C4⋊Dic7—21no—
233C4⋊Dic7—21no—
234C4⋊Dic7—21no—
235C4⋊Dic7—21no—
236#1136—44no—
237C2×C7⋊C8—21no—
238C2×C7⋊C8—21no—
239C2×C7⋊C8—21no—
240C2×C7⋊C8—21no—
241C2×C7⋊C8—21no—
242C2×C7⋊C8—21no—
243C2×C7⋊C8—21no—
244C2×C7⋊C8—21no—
245C2×C7⋊C8—21no—
246C2×C7⋊C8—21no—
247C2×C7⋊C8—21no—
248C2×C7⋊C8C2×D412yes—
249C22×#41—71no—
250C22×M16—71no—
251C2×C4⋊Q8C2×D711yescharacteristic
252C2×C22⋊Q8—21no—
253C2×C4×D4—71no—
254C2×C4×D4—71no—
255C22×C4⋊C4C2×D711yescharacteristic
256#476—144no—
257C2×#107—71no—
258C2×#106—71no—
259C2×#106—71no—
260C2×#106—71no—
261C2×C4⋊C8—71no—
262C2×C4⋊C8—71no—
263#417—144no—
264C2×#103—71no—
265C2×#103—71no—
266C2×#103—71no—
267C2×#103—71no—
268C2×#102—71no—
269C2×#102—71no—
270C2×#102—71no—
271C2×#102—71no—
272C2×C22⋊C8—71no—
273#398—21no—
274#395—21no—
275#391—71no—
276#391—71no—
277#389C2×D711yescharacteristic
278#389C2×D711yescharacteristic
279#386—141no—
280#386—141no—
281#385—21no—
282#384C2×D711yescharacteristic
283#381—141no—
284#380—71no—
285#380C2×D711yescharacteristic
286C4×C22⋊C4C2×D711yescharacteristic
287C2×#95—141no—
288#340—71no—
289#340—71no—
290#340—71no—
291#340—71no—
292#336—71no—
293#336—71no—
294C23×C7—21no—
295C23×C7—21no—
296C23×C7—21no—
297C23×C7—21no—
298C23×C7—21no—
299C23×C7—21no—
300C23×C7C22⋊Q812yes—
301C23×C7C22×D411yescharacteristic
302C22×D7—22no—
303C22×D7—22no—
304C22×D7—22no—
305C22×D7—41no—
306C22×D7—41no—
307C22×D7—41no—
308C22×D7—41no—
309C7×Q8—84no—
310C2×C4×C7—21no—
311C2×C4×C7—21no—
312C2×C4×C7—21no—
313C2×C4×C7—21no—
314C2×C4×C7—21no—
315C2×C4×C7—21no—
316C2×C4×C7—22no—
317C2×C4×C7—22no—
318C2×C4×C7—22no—
319C2×C4×C7—22no—
320C2×C4×C7—21no—
321C2×C4×C7—22no—
322C2×C4×C7—21no—
323C2×C4×C7—21no—
324C2×C4×C7—21no—
325C2×C4×C7—21no—
326C2×C4×C7—21no—
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—84no—
339C2×C4×C7C22⋊Q812yes—
340C2×C4×C7AGL(1,ℤ/8)12yes—
341C2×C4×C7#13712yes—
342C2×C4×C7C22×D411yescharacteristic
343C2×C4×C7C22×Q811yescharacteristic
344C2×C4×C7C2×#4111yescharacteristic
345C2×C4×C7C2×#4111yescharacteristic
346C2×C4×C7H(5,𝔽2)11yescharacteristic
347C2×C4×C7H(5,𝔽2)11yescharacteristic
348C22⋊D7—48no—
349C2×Dic7—22no—
350C2×Dic7—41no—
351C2×Dic7—41no—
352C2×Dic7—41no—
353C2×Dic7—41no—
354C2×Dic7—41no—
355C2×Dic7—41no—
356C2×Dic7—41no—
357C2×Dic7—41no—
358D28—22no—
359D28—22no—
360D28—22no—
361D28C22⋊Q814yescomplemented
362C4×D7—48no—
363C4×D7—84no—
364C4×D7—84no—
365Dic14—22no—
366Dic14—22no—
367Dic14—41no—
368Dic14—41no—
369C7⋊C8—22no—
370C7⋊C8—41no—
371C7⋊C8—41no—
372C7⋊C8—41no—
373C2×#41—74no—
374C2×#41—142no—
375C2×#41—142no—
376C2×#41—142no—
377C2×#41—281no—
378C2×#41—281no—
379C22×Q8—21no—
380C22×Q8—71no—
381C22×D4—71no—
382C22×D4—141no—
383C23×C4—21no—
384C23×C4—141no—
385C23×C4—141no—
386C23×C4—141no—
387C23×C4C22×D711yescharacteristic
388C2×M16—142no—
389C2×M16—142no—
390C2×M16—281no—
391C22×C8—71no—
392C22×C8—71no—
393C22×C8—71no—
394C22×C8—71no—
395C4⋊Q8—22no—
396C4⋊Q8—41no—
397C22⋊Q8—44no—
398C4×D4—142no—
399C4×D4—142no—
400C4×D4—281no—
401C4×D4—281no—
402C2×C4⋊C4—22no—
403C2×C4⋊C4—21no—
404C2×C4⋊C4—21no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—21no—
407C2×C4⋊C4—21no—
408C2×C4⋊C4—21no—
409C2×C4⋊C4—41no—
410C2×C4⋊C4—71no—
411C2×C4⋊C4—71no—
412C2×C4⋊C4C22×D711yescharacteristic
413C2×C4⋊C4C22×D711yescharacteristic
414C2×C4⋊C4C22×D711yescharacteristic
415C2×C4⋊C4C22×D711yescharacteristic
416C2×C22⋊C4—21no—
417C2×C22⋊C4—141no—
418C2×C22⋊C4—141no—
419C2×C22⋊C4—141no—
420C2×C22⋊C4C22⋊D711yescharacteristic
421C2×C22⋊C4C22⋊D711yescharacteristic
422C2×C42C22×D711yescharacteristic
423C2×C42C22×D711yescharacteristic
424#107—281no—
425#106—142no—
426#106—142no—
427#106—281no—
428C4⋊C8—142no—
429C4⋊C8—281no—
430#103—142no—
431#103—142no—
432#103—281no—
433#103—281no—
434#102—74no—
435#102—142no—
436#102—142no—
437#102—142no—
438C22⋊C8—142no—
439#95—21no—
440#95—21no—
441#95—21no—
442#95—141no—
443#95—141no—
444#95—141no—
445#95—141no—
446#95—141no—
447#95C22⋊D711yescharacteristic
448#95C22⋊D711yescharacteristic
449C22×C7—22no—
450C22×C7—22no—
451C22×C7—22no—
452C22×C7—41no—
453C22×C7—41no—
454C22×C7—41no—
455C22×C7—41no—
456C22×C7C2×C22⋊Q811yescharacteristic
457C22×C7D4211yescharacteristic
458C22×C7#54611yescharacteristic
459C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
460C22×C7C2×#13711yescharacteristic
461C22×C7#57711yescharacteristic
462C22×C7#57711yescharacteristic
463C2×D7—24no—
464C2×D7—42no—
465C2×D7—42no—
466C2×D7—42no—
467C2×D7—42no—
468C2×D7—42no—
469C2×D7—42no—
470C4×C7—22no—
471C4×C7—22no—
472C4×C7—22no—
473C4×C7—41no—
474C4×C7—41no—
475C4×C7—42no—
476C4×C7—81no—
477C4×C7—81no—
478C4×C7—81no—
479C4×C7C2×C22⋊Q811yescharacteristic
480C4×C7#54311yescharacteristic
481C4×C7#54611yescharacteristic
482C4×C7#55111yescharacteristic
483Dic7—42no—
484Dic7—81no—
485Dic7—81no—
486C24—141no—
487C24C2×C22⋊D711yescharacteristic
488#41—148no—
489#41—284no—
490#41—284no—
491#41—284no—
492C2×Q8—42no—
493C2×Q8—42no—
494C2×Q8—72no—
495C2×Q8—81no—
496C2×Q8—141no—
497C2×Q8—141no—
498C2×Q8—141no—
499C2×Q8—141no—
500C2×Q8—141no—
501C2×D4—72no—
502C2×D4—72no—
503C2×D4—72no—
504C2×D4—144no—
505C2×D4—141no—
506C2×D4—141no—
507C2×D4—141no—
508C2×D4—282no—
509C2×D4—282no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—81no—
521C22×C4—141no—
522C22×C4—144no—
523C22×C4—141no—
524C22×C4—141no—
525C22×C4—282no—
526C22×C4—282no—
527C22×C4—282no—
528C22×C4—282no—
529C22×C4—282no—
530C22×C4—282no—
531C22×C4—561no—
532C22×C4—561no—
533C22×C4Q8×D712yes—
534C22×C4#116112yes—
535C22×C4C2×C22⋊D711yescharacteristic
536C22×C4C2×C22⋊D711yescharacteristic
537C22×C4C2×C22⋊D711yescharacteristic
538C22×C4C2×C22⋊D711yescharacteristic
539C22×C4C2×C22⋊D711yescharacteristic
540C22×C4C23×D711yescharacteristic
541M16—284no—
542C2×C8—72no—
543C2×C8—141no—
544C2×C8—141no—
545C2×C8—141no—
546C2×C8—141no—
547C2×C8—141no—
548C2×C8—141no—
549C2×C8—141no—
550C2×C8—141no—
551C2×C8—141no—
552C2×C8—141no—
553C2×C8—141no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—81no—
567C4⋊C4—141no—
568C4⋊C4—141no—
569C4⋊C4—141no—
570C4⋊C4—141no—
571C4⋊C4D4×D712yes—
572C22⋊C4—22no—
573C22⋊C4—22no—
574C22⋊C4—42no—
575C22⋊C4—282no—
576C22⋊C4—282no—
577C22⋊C4—561no—
578C42—21no—
579C42—21no—
580C42—21no—
581C42—21no—
582C2×C7—42no—
583C2×C7#243711yescharacteristic
584C2×C7#307911yescharacteristic
585C2×C7#308411yescharacteristic
586C2×C7#326611yescharacteristic
587C2×C7#327211yescharacteristic
588C2×C7#330611yescharacteristic
589C2×C7#333111yescharacteristic
590D7—44no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—142no—
598C23—142no—
599C23—142no—
600C23—281no—
601C23—281no—
602C23—281no—
603C23—281no—
604C23#650912yes—
605C23C22×C22⋊D711yescharacteristic
606Q8—84no—
607Q8—142no—
608Q8—142no—
609Q8—281no—
610Q8—281no—
611D4—74no—
612D4—142no—
613D4—142no—
614D4—142no—
615D4—288no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—84no—
645C2×C4—142no—
646C2×C4—288no—
647C2×C4—281no—
648C2×C4—281no—
649C2×C4—281no—
650C2×C4—281no—
651C2×C4—281no—
652C2×C4—281no—
653C2×C4—281no—
654C2×C4—281no—
655C2×C4—564no—
656C2×C4—564no—
657C2×C4#649512yes—
658C2×C4#650512yes—
659C2×C4#650912yes—
660C2×C4C2×D4×D711yescharacteristic
661C2×C4#654811yescharacteristic
662C2×C4C2×Q8×D711yescharacteristic
663C2×C4C2×#116111yescharacteristic
664C2×C4D7×#4111yescharacteristic
665C2×C4#655311yescharacteristic
666C8—142no—
667C8—281no—
668C8—281no—
669C8—281no—
670C7#2597811yescharacteristic, complemented, Sylow
671C22—22no—
672C22—22no—
673C22—22no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—144no—
679C22—282no—
680C22—282no—
681C22—282no—
682C22—282no—
683C22—282no—
684C22—282no—
685C22C2×#649511yescharacteristic
686C22D4×C22⋊D711yescharacteristic
687C22C2×#650511yescharacteristic
688C22C2×#650911yescharacteristic
689C22#9052011yescharacteristic
690C22#9052711yescharacteristic
691C22#9052811yescharacteristic
692C4—22no—
693C4—22no—
694C4—22no—
695C4—41no—
696C4—42no—
697C4—41no—
698C4—81no—
699C4—81no—
700C4—81no—
701C4—282no—
702C4—561no—
703C4—561no—
704C4D7×C22⋊Q811yescharacteristic
705C4#9032111yescharacteristic
706C4#9032511yescharacteristic
707C4#9032811yescharacteristic
708C2—42no—
709C2—284no—
710C2#1174026111yescharacteristic
711C2#1174065711yescharacteristic
712C2#1174092111yescharacteristic
713C2#1174093411yescharacteristic
714C2#1174097111yescharacteristic
715C2#1174100411yescharacteristic
716C2#1174108111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D7
commutator, cosocleC22×C4×C7C24
FrattiniC22×C4C23×D7
FittingC7×#2440C2
socleC23×C7C22×D4
prime radicalC22×#1157C22
hypercenter#2440D7
hypocenterC7#25978
LCSG ▷ C22×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2440

Complements

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

NH ≅ G/Ntype
1. C7×#2440C2semidirect
2. C2×#89856C2semidirect
5. #11729548C2semidirect
6. #11729310C2semidirect
7. #11727389C2semidirect
8. #11727388C2semidirect
9. #11727380C2semidirect
10. #11727379C2semidirect
11. #11727345C2semidirect
12. #11727338C2semidirect
14. #11727267C2semidirect
15. #11727204C2semidirect
71. C2×#1157Q8semidirect
140. #2440D7semidirect
361. D28C22⋊Q8semidirect
670. C7#25978semidirect

Maximal subgroups

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

subgroupindex
C7×#24402
C2×#898562
C2×#897382
#117310182
#117295482
#117293102
#117273892
#117273882
#117273802
#117273792
#117273452
#117273382
#117272762
#117272672
#117272042
#259787