Finite Group Databasebeta

← #13411273

Subgroups — #13411273

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×#2339C211yesmaximal, characteristic
2C2×#90004C211yesmaximal, characteristic
3C2×#89780C211yesmaximal, characteristic, complemented
4#11730938C211yesmaximal, characteristic, complemented
5#11729889C211yesmaximal, characteristic
6#11729361C211yesmaximal, characteristic, complemented
7#11729360C211yesmaximal, characteristic, complemented
8#11729358C211yesmaximal, characteristic, complemented
9#11727439C211yesmaximal, characteristic, complemented
10#11727437C211yesmaximal, characteristic, complemented
11#11727436C211yesmaximal, characteristic, complemented
12#11727422C211yesmaximal, characteristic, complemented
13#11727267C211yesmaximal, characteristic, complemented
14#11727259C211yesmaximal, characteristic, complemented
15#11727204C211yesmaximal, characteristic, complemented
16C22×C7×#41C2211yescharacteristic
17C2×C4×C7×D4C2211yescharacteristic
18C2×C4×C7×D4C2211yescharacteristic
19C22×C4⋊Dic7C2211yescharacteristic
20C22×#1136C2211yescharacteristic
21C2×#6441—21no—
22C2×#6432C2211yescharacteristic
23C7×#391C2211yescharacteristic
24C7×#391C2211yescharacteristic
25C7×#386—21no—
26C7×#386—21no—
27C7×#381—21no—
28C7×#380C2211yescharacteristic
29C4×C7×C22⋊C4C2211yescharacteristic
30C2×C7×#95—21no—
31#90004—24no—
32C2×#6409C2211yescharacteristic
33C2×#6409C2211yescharacteristic
34C2×#6409C2211yescharacteristic
35C2×#6409C2211yescharacteristic
36C2×#6406C2211yescharacteristic
37C2×#6406C2211yescharacteristic
38C2×#6406C2211yescharacteristic
39C2×#6406C2211yescharacteristic
40#89984C2211yescharacteristic
41C2×C22⋊(C7⋊C8)C2211yescharacteristic
42#89780—24no—
43C2×#6382C2211yescharacteristic
44C2×#6382C2211yescharacteristic
45C2×#6382C2211yescharacteristic
46C2×#6381C2211yescharacteristic
47#89722—21no—
48#89707C2211yescharacteristic
49#89700C2211yescharacteristic
50#89700C2211yescharacteristic
51C2×C4⋊(C7⋊C8)C2211yescharacteristic
52C2×C4⋊(C7⋊C8)C2211yescharacteristic
53#89433—21no—
54#89428—21no—
55#89324C2211yescharacteristic
56#89324C2211yescharacteristic
57#89324C2211yescharacteristic
58#89324C2211yescharacteristic
59#89319C2211yescharacteristic
60#89319C2211yescharacteristic
61#25978—71nomaximal, Sylow
62C2×C7×#41—22no—
63C2×C7×#41—22no—
64C2×C7×#41—22no—
65C2×C7×#41—41no—
66C2×C7×#41—41no—
67C2×C7×#41Q814yescomplemented
68C22×C7×Q8C2311yescharacteristic
69C22×C7×D4—21no—
70C22×C7×D4C2311yescharacteristic
71C23×C4×C7—21no—
72C23×C4×C7—21no—
73C23×C4×C7—21no—
74C23×C4×C7C2311yescharacteristic
75C23×Dic7—21no—
76C22×Dic14—21no—
77C4×C7×D4—22no—
78C4×C7×D4—22no—
79C4×C7×D4—41no—
80C4×C7×D4—41no—
81C2×C7×C4⋊C4C2311yescharacteristic
82C2×C7×C4⋊C4C2311yescharacteristic
83C2×C7×C22⋊C4—21no—
84C2×C7×C22⋊C4—21no—
85C2×C7×C22⋊C4—21no—
86C2×C7×C22⋊C4D411yescharacteristic
87C2×C7×C22⋊C4D411yescharacteristic
88C2×C42×C7C2311yescharacteristic
89C2×C42×C7C2311yescharacteristic
90C2×C22⋊Dic7—21no—
91C2×C4⋊Dic7—22no—
92C2×C4⋊Dic7—21no—
93C2×C4⋊Dic7—21no—
94C2×C4⋊Dic7—21no—
95C2×C4⋊Dic7—21no—
96C2×C4⋊Dic7—41no—
97C2×C4⋊Dic7C2311yescharacteristic
98C2×C4⋊Dic7C2311yescharacteristic
99C2×C4⋊Dic7C2311yescharacteristic
100C2×C4⋊Dic7C2311yescharacteristic
101C2×Dic7⋊C4—21no—
102C2×Dic7⋊C4—21no—
103C2×#1136—22no—
104C2×#1136—22no—
105C2×#1136—41no—
106C22×C7⋊C8C2311yescharacteristic
107C22×C7⋊C8C2311yescharacteristic
108C22×C7⋊C8C2311yescharacteristic
109C22×C7⋊C8C2311yescharacteristic
110#6441—44no—
111#6432—22no—
112#6432—41no—
113C7×#95—21no—
114C7×#95—21no—
115C7×#95—21no—
116C7×#95—21no—
117C7×#95—21no—
118C7×#95D411yescharacteristic
119C7×#95D411yescharacteristic
120#6409—22no—
121#6409—22no—
122#6409—41no—
123#6409—41no—
124#6406—22no—
125#6406—22no—
126#6406—22no—
127#6406D414yes—
128C7⋊#95—21no—
129C7⋊#95—21no—
130C7⋊#95—21no—
131C22⋊(C7⋊C8)—22no—
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#2440—71no—
141#2339D711yescharacteristic
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×C7—21no—
154C24×C7C2×D411yescharacteristic
155C7×#41—28no—
156C7×#41—44no—
157C7×#41—44no—
158C7×#41—44no—
159C2×C7×Q8—21no—
160C2×C7×Q8—21no—
161C2×C7×Q8—21no—
162C2×C7×Q8—21no—
163C2×C7×Q8—21no—
164C2×C7×Q8C2×Q812yes—
165C2×C7×D4—24no—
166C2×C7×D4—21no—
167C2×C7×D4—21no—
168C2×C7×D4—21no—
169C2×C7×D4—42no—
170C2×C7×D4—42no—
171C2×C7×D4C2×D412yes—
172C2×C7×D4C2×Q812yes—
173C2×C7×D4#4112yes—
174C22×C4×C7—21no—
175C22×C4×C7—21no—
176C22×C4×C7—21no—
177C22×C4×C7—21no—
178C22×C4×C7—21no—
179C22×C4×C7—24no—
180C22×C4×C7—21no—
181C22×C4×C7—21no—
182C22×C4×C7—42no—
183C22×C4×C7—42no—
184C22×C4×C7—42no—
185C22×C4×C7—42no—
186C22×C4×C7—42no—
187C22×C4×C7—42no—
188C22×C4×C7—81no—
189C22×C4×C7—81no—
190C22×C4×C7C2×D411yescharacteristic
191C22×C4×C7C2×D411yescharacteristic
192C22×C4×C7C2×D411yescharacteristic
193C22×C4×C7C2×D411yescharacteristic
194C22×C4×C7C2×D411yescharacteristic
195C22×C4×C7C2×Q812yes—
196C22×C4×C7#4112yes—
197C22×C4×C7C2411yescharacteristic
198C22×Dic7—21no—
199C22×Dic7—21no—
200C22×Dic7—21no—
201C22×Dic7—21no—
202C22×Dic7—42no—
203C22×Dic7—42no—
204C22×Dic7—81no—
205C2×Dic14—42no—
206C2×Dic14—42no—
207C2×Dic14—81no—
208C7×C4⋊C4—21no—
209C7×C4⋊C4—21no—
210C7×C4⋊C4—21no—
211C7×C4⋊C4—21no—
212C7×C22⋊C4—22no—
213C7×C22⋊C4—22no—
214C7×C22⋊C4—42no—
215C7×C22⋊C4—42no—
216C7×C22⋊C4—81no—
217C42×C7—21no—
218C42×C7—21no—
219C42×C7—21no—
220C42×C7—21no—
221C22⋊Dic7—42no—
222C4⋊Dic7—21no—
223C4⋊Dic7—21no—
224C4⋊Dic7—21no—
225C4⋊Dic7—21no—
226C4⋊Dic7—21no—
227C4⋊Dic7—21no—
228C4⋊Dic7—21no—
229C4⋊Dic7—42no—
230C4⋊Dic7—42no—
231C4⋊Dic7—42no—
232C4⋊Dic7—81no—
233C4⋊Dic7C2×D412yes—
234Dic7⋊C4—42no—
235Dic7⋊C4—42no—
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×#41C2×D711yescharacteristic
250C22×M16—71no—
251C2×C4⋊Q8—71no—
252C2×C22⋊Q8—141no—
253C2×C4×D4C2×D711yescharacteristic
254C2×C4×D4C2×D711yescharacteristic
255C22×C4⋊C4—71no—
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—141no—
274#395—141no—
275#391C2×D711yescharacteristic
276#391C2×D711yescharacteristic
277#389—71no—
278#389—71no—
279#386—21no—
280#386—21no—
281#385—141no—
282#384—71no—
283#381—21no—
284#380—71no—
285#380C2×D711yescharacteristic
286C4×C22⋊C4C2×D711yescharacteristic
287C2×#95—21no—
288#340—71no—
289#340—71no—
290#340—71no—
291#340—71no—
292#336—71no—
293#336—71no—
294C23×C7—22no—
295C23×C7—22no—
296C23×C7—21no—
297C23×C7—22no—
298C23×C7—21no—
299C23×C7—21no—
300C23×C7—21no—
301C23×C7—21no—
302C23×C7—21no—
303C23×C7—41no—
304C23×C7—41no—
305C23×C7—41no—
306C23×C7—41no—
307C23×C7C22⋊Q812yes—
308C23×C7C22×D411yescharacteristic
309C7×Q8—22no—
310C7×Q8—22no—
311C7×Q8—41no—
312C7×Q8—41no—
313C7×D4—22no—
314C7×D4—22no—
315C7×D4—22no—
316C7×D4—48no—
317C7×D4C22⋊Q814yescomplemented
318C2×C4×C7—21no—
319C2×C4×C7—21no—
320C2×C4×C7—21no—
321C2×C4×C7—21no—
322C2×C4×C7—21no—
323C2×C4×C7—21no—
324C2×C4×C7—22no—
325C2×C4×C7—22no—
326C2×C4×C7—22no—
327C2×C4×C7—22no—
328C2×C4×C7—22no—
329C2×C4×C7—21no—
330C2×C4×C7—21no—
331C2×C4×C7—21no—
332C2×C4×C7—21no—
333C2×C4×C7—21no—
334C2×C4×C7—21no—
335C2×C4×C7—48no—
336C2×C4×C7—41no—
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—84no—
345C2×C4×C7—84no—
346C2×C4×C7C22⋊Q812yes—
347C2×C4×C7AGL(1,ℤ/8)12yes—
348C2×C4×C7#13712yes—
349C2×C4×C7C22×D411yescharacteristic
350C2×C4×C7C22×Q811yescharacteristic
351C2×C4×C7C2×#4111yescharacteristic
352C2×C4×C7C2×#4111yescharacteristic
353C2×C4×C7H(5,𝔽2)11yescharacteristic
354C2×C4×C7H(5,𝔽2)11yescharacteristic
355C2×Dic7—22no—
356C2×Dic7—41no—
357C2×Dic7—41no—
358C2×Dic7—41no—
359C2×Dic7—41no—
360C2×Dic7—41no—
361C2×Dic7—41no—
362C2×Dic7—41no—
363C2×Dic7—41no—
364C2×Dic7—41no—
365C2×Dic7—41no—
366C2×Dic7—41no—
367C2×Dic7—84no—
368Dic14—84no—
369C7⋊C8—22no—
370C7⋊C8—41no—
371C7⋊C8—41no—
372C7⋊C8—41no—
373C2×#41—22no—
374C2×#41—22no—
375C2×#41—22no—
376C2×#41—41no—
377C2×#41—41no—
378C2×#41Dic1414yescomplemented
379C22×Q8—141no—
380C22×Q8C22×D711yescharacteristic
381C22×D4—21no—
382C22×D4C22×D711yescharacteristic
383C23×C4—21no—
384C23×C4—21no—
385C23×C4—21no—
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—142no—
396C4⋊Q8—281no—
397C22⋊Q8—284no—
398C4×D4—22no—
399C4×D4—22no—
400C4×D4—41no—
401C4×D4—41no—
402C2×C4⋊C4—71no—
403C2×C4⋊C4—71no—
404C2×C4⋊C4—71no—
405C2×C4⋊C4—71no—
406C2×C4⋊C4—142no—
407C2×C4⋊C4—141no—
408C2×C4⋊C4—141no—
409C2×C4⋊C4—141no—
410C2×C4⋊C4—141no—
411C2×C4⋊C4—141no—
412C2×C4⋊C4—141no—
413C2×C4⋊C4—281no—
414C2×C4⋊C4C22×D711yescharacteristic
415C2×C4⋊C4C22×D711yescharacteristic
416C2×C22⋊C4—21no—
417C2×C22⋊C4—21no—
418C2×C22⋊C4—21no—
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—21no—
443#95—21no—
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—24no—
453C22×C7—41no—
454C22×C7—42no—
455C22×C7—42no—
456C22×C7—42no—
457C22×C7—42no—
458C22×C7—41no—
459C22×C7—41no—
460C22×C7—42no—
461C22×C7—42no—
462C22×C7—41no—
463C22×C7C2×C22⋊Q811yescharacteristic
464C22×C7D4211yescharacteristic
465C22×C7#54611yescharacteristic
466C22×C7C2×AGL(1,ℤ/8)11yescharacteristic
467C22×C7C2×#13711yescharacteristic
468C22×C7#57711yescharacteristic
469C22×C7#57711yescharacteristic
470C4×C7—22no—
471C4×C7—22no—
472C4×C7—22no—
473C4×C7—41no—
474C4×C7—42no—
475C4×C7—41no—
476C4×C7—81no—
477C4×C7—81no—
478C4×C7C2×C22⋊Q811yescharacteristic
479C4×C7#54311yescharacteristic
480C4×C7#54611yescharacteristic
481C4×C7#55111yescharacteristic
482Dic7—42no—
483Dic7—81no—
484Dic7—81no—
485Dic7—81no—
486C24—21no—
487C24C2×C22⋊D711yescharacteristic
488#41—28no—
489#41—44no—
490#41—44no—
491#41—44no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—282no—
498C2×Q8—282no—
499C2×Q8—561no—
500C2×Q8C2×Dic1412yes—
501C2×D4—24no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4C2×Dic1412yes—
508C2×D4D4×D712yes—
509C2×D4#115912yes—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—24no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—81no—
525C22×C4—81no—
526C22×C4—141no—
527C22×C4—141no—
528C22×C4—141no—
529C22×C4—141no—
530C22×C4—282no—
531C22×C4—282no—
532C22×C4—561no—
533C22×C4C2×Dic1412yes—
534C22×C4#115712yes—
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—72no—
559C4⋊C4—141no—
560C4⋊C4—141no—
561C4⋊C4—141no—
562C4⋊C4—141no—
563C4⋊C4—141no—
564C4⋊C4—141no—
565C4⋊C4—141no—
566C4⋊C4—282no—
567C4⋊C4—282no—
568C4⋊C4—282no—
569C4⋊C4—282no—
570C4⋊C4—282no—
571C4⋊C4—561no—
572C22⋊C4—22no—
573C22⋊C4—22no—
574C22⋊C4—42no—
575C22⋊C4—42no—
576C22⋊C4—81no—
577C22⋊C4—282no—
578C42—21no—
579C42—21no—
580C42—21no—
581C42—21no—
582C2×C7—42no—
583C2×C7—44no—
584C2×C7#243711yescharacteristic
585C2×C7#307911yescharacteristic
586C2×C7#308411yescharacteristic
587C2×C7#326611yescharacteristic
588C2×C7#327211yescharacteristic
589C2×C7#330611yescharacteristic
590C2×C7#333111yescharacteristic
591C23—22no—
592C23—22no—
593C23—21no—
594C23—22no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23#648712yes—
605C23C22×C22⋊D711yescharacteristic
606Q8—22no—
607Q8—22no—
608Q8—41no—
609Q8—41no—
610Q8—564no—
611D4—22no—
612D4—22no—
613D4—22no—
614D4—48no—
615D4#644114yescomplemented
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—22no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—48no—
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—84no—
643C2×C4—84no—
644C2×C4—142no—
645C2×C4—281no—
646C2×C4—281no—
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—281no—
656C2×C4—564no—
657C2×C4#648712yes—
658C2×C4#651212yes—
659C2×C4#651412yes—
660C2×C4C22×Dic1411yescharacteristic
661C2×C4C2×#115711yescharacteristic
662C2×C4C2×D4×D711yescharacteristic
663C2×C4C2×#115911yescharacteristic
664C2×C4#654811yescharacteristic
665C2×C4#654811yescharacteristic
666C8—142no—
667C8—281no—
668C8—281no—
669C8—281no—
670C7#2597811yescharacteristic, complemented, Sylow
671C22—22no—
672C22—22no—
673C22—22no—
674C22—24no—
675C22—42no—
676C22—41no—
677C22—42no—
678C22—41no—
679C22—41no—
680C22—42no—
681C22—41no—
682C22—42no—
683C22—42no—
684C22—42no—
685C22C2×#648711yescharacteristic
686C22D4×C22⋊D711yescharacteristic
687C22#9049711yescharacteristic
688C22C2×#651211yescharacteristic
689C22C2×#651411yescharacteristic
690C22#9052711yescharacteristic
691C22#9052811yescharacteristic
692C4—22no—
693C4—22no—
694C4—22no—
695C4—41no—
696C4—41no—
697C4—42no—
698C4—81no—
699C4—81no—
700C4—282no—
701C4—561no—
702C4—561no—
703C4—561no—
704C4C2×#644111yescharacteristic
705C4#9017411yescharacteristic
706C4#9018111yescharacteristic
707C4#9018611yescharacteristic
708C2—42no—
709C2—44no—
710C2#1173955511yescharacteristic
711C2#1173995311yescharacteristic
712C2#1174000511yescharacteristic
713C2#1174094111yescharacteristic
714C2#1174095111yescharacteristic
715C2#1174096011yescharacteristic
716C2#1174096811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D7
commutator, cosocleC22×C4×C7C24
FrattiniC22×C4C23×D7
FittingC7×#2339C2
socleC23×C7C22×D4
prime radicalC22×C7×#41C22
hypercenter#2339D7
hypocenterC7#25978
LCSG ▷ C22×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2339

Complements

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

NH ≅ G/Ntype
3. C2×#89780C2semidirect
4. #11730938C2semidirect
6. #11729361C2semidirect
7. #11729360C2semidirect
8. #11729358C2semidirect
9. #11727439C2semidirect
10. #11727437C2semidirect
11. #11727436C2semidirect
12. #11727422C2semidirect
13. #11727267C2semidirect
14. #11727259C2semidirect
15. #11727204C2semidirect
67. C2×C7×#41Q8semidirect
317. C7×D4C22⋊Q8semidirect
378. C2×#41Dic14semidirect
615. D4#6441semidirect
670. C7#25978semidirect

Maximal subgroups

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

subgroupindex
C7×#23392
C2×#900042
C2×#897802
#117309382
#117298892
#117293612
#117293602
#117293582
#117274392
#117274372
#117274362
#117274222
#117272672
#117272592
#117272042
#259787