Finite Group Databasebeta

← #13360210

Subgroups — #13360210

Order 1792.

1044 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C7×#2276C211yesmaximal, characteristic, complemented
2C2×#89799C211yesmaximal, characteristic
3C2×#89798C211yesmaximal, characteristic, complemented
4C2×C4×#1143C211yesmaximal, characteristic, complemented
5#11730834C211yesmaximal, characteristic
6#11729387C211yesmaximal, characteristic, complemented
7#11729387C211yesmaximal, characteristic, complemented
8#11729381C211yesmaximal, characteristic, complemented
9#11727241C211yesmaximal, characteristic
10#11727228C211yesmaximal, characteristic, complemented
11C4×#6383C211yesmaximal, characteristic, complemented
12#11727222C211yesmaximal, characteristic, complemented
13#11727217C211yesmaximal, characteristic, complemented
14#11727216C211yesmaximal, characteristic, complemented
15#11727190C211yesmaximal, characteristic, complemented
16C2×C4×C7×Q8C2211yescharacteristic
17C2×C4×C7×Q8C2211yescharacteristic
18C2×C4×C7×Q8C2211yescharacteristic
19C22×#1143C2211yescharacteristic
20C22×#1143C2211yescharacteristic
21C2×#6437C2211yescharacteristic
22C2×C4×D28C2211yescharacteristic
23C2×C4×D28C2211yescharacteristic
24C4×C7×C4⋊C4—21no—
25C4×C7×C4⋊C4—21no—
26C4×C7×C4⋊C4—21no—
27C4×C7×C4⋊C4C2211yescharacteristic
28C4×C7×C4⋊C4C2211yescharacteristic
29C4×C7×C4⋊C4C2211yescharacteristic
30C7×#376—21no—
31C7×#376C2211yescharacteristic
32C2×#6409C2211yescharacteristic
33C2×#6409C2211yescharacteristic
34#89799C418yescomplemented
35#89798—24no—
36C4×#1143—24no—
37C2×#6383C2211yescharacteristic
38C2×#6383C2211yescharacteristic
39C2×#6383C2211yescharacteristic
40C2×#6383C2211yescharacteristic
41C2×#6383C2211yescharacteristic
42C2×#6383C2211yescharacteristic
43C2×#6382C2211yescharacteristic
44C2×#6381C2211yescharacteristic
45#89711C2211yescharacteristic
46#89711C2211yescharacteristic
47#89708C2211yescharacteristic
48C2×C4⋊(C7⋊C8)C2211yescharacteristic
49C2×C4⋊(C7⋊C8)C2211yescharacteristic
50C2×#6377C2211yescharacteristic
51C2×C4×C7⋊C8C2211yescharacteristic
52#89437—21no—
53#89437—21no—
54#89437—21no—
55#89437—21no—
56#89324C2211yescharacteristic
57#89324C2211yescharacteristic
58#89324C2211yescharacteristic
59#89324C2211yescharacteristic
60#89319C2211yescharacteristic
61#89319C2211yescharacteristic
62#21515—71nomaximal, Sylow
63C22×C7×Q8C2311yescharacteristic
64C22×D28—21no—
65C22×D28—21no—
66C22×D28C2311yescharacteristic
67C22×D28C2311yescharacteristic
68C22×C4×D7—21no—
69C22×C4×D7—21no—
70C4×C7×Q8—22no—
71C4×C7×Q8—22no—
72C4×C7×Q8—22no—
73C4×C7×Q8—22no—
74C4×C7×Q8C2×C414yescomplemented
75C4×C7×Q8D414yescomplemented
76C2×C7×C4⋊C4—21no—
77C2×C7×C4⋊C4—21no—
78C2×C7×C4⋊C4—21no—
79C2×C7×C4⋊C4C2311yescharacteristic
80C2×C7×C4⋊C4C2311yescharacteristic
81C2×C7×C4⋊C4C2311yescharacteristic
82C2×C42×C7—21no—
83C2×C42×C7—21no—
84C2×C42×C7—21no—
85C2×C42×C7—21no—
86C2×C42×C7—21no—
87C2×C42×C7—21no—
88C2×C42×C7C2311yescharacteristic
89C2×C42×C7C2311yescharacteristic
90C2×C42×C7C2311yescharacteristic
91C2×#1143—22no—
92C2×#1143—22no—
93C2×#1143—22no—
94C2×#1143—22no—
95C2×#1143C2×C414yescomplemented
96C2×#1143C2×C414yescomplemented
97C2×(C2×D7)⋊C4—21no—
98C2×(C2×D7)⋊C4—21no—
99C2×(C2×D7)⋊C4—21no—
100C2×(C2×D7)⋊C4—21no—
101C2×(C2×D7)⋊C4—21no—
102C2×(C2×D7)⋊C4—21no—
103C2×C4⋊Dic7C2311yescharacteristic
104C2×C4⋊Dic7C2311yescharacteristic
105C22×C7⋊C8C2311yescharacteristic
106C22×C7⋊C8C2311yescharacteristic
107C22×C7⋊C8C2311yescharacteristic
108C22×C7⋊C8C2311yescharacteristic
109#6437—22no—
110#6437C2×C414yes—
111C4×D28—22no—
112C4×D28—22no—
113C4×D28—22no—
114C4×D28—22no—
115C7×#95—21no—
116C7×#95—21no—
117C7×#95—21no—
118C7×#95D411yescharacteristic
119C7×#95D411yescharacteristic
120C7×#95D411yescharacteristic
121C7×#95D411yescharacteristic
122#6409—22no—
123#6409—22no—
124C7⋊#95—21no—
125C7⋊#95—21no—
126#6383—22no—
127#6383—22no—
128#6383—22no—
129#6383—22no—
130#6383C2×C414yescomplemented
131#6383C2×C414yescomplemented
132#6382—22no—
133#6381—22no—
134C4⋊(C7⋊C8)—22no—
135C4⋊(C7⋊C8)C2×C414yescomplemented
136#6377—22no—
137C4×C7⋊C8—22no—
138C2×#460—71no—
139C2×#440—71no—
140C2×C4×SD16—71no—
141#2328—71no—
142#2276D711yescharacteristic, complemented
143#1982—71no—
144#1949—71no—
145#1926—71no—
146#1925—71no—
147#1880—71no—
148#1880—71no—
149#1805—71no—
150#1768—71no—
151#1762—71no—
152C4×#102—71no—
153C23×D7—21no—
154C23×D7—21no—
155C2×C7×Q8—21no—
156C2×C7×Q8—21no—
157C2×C7×Q8—21no—
158C2×C7×Q8C22×C412yes—
159C2×C7×Q8C2×D412yes—
160C2×C7×Q8#4112yes—
161C22×C4×C7—21no—
162C22×C4×C7—21no—
163C22×C4×C7—21no—
164C22×C4×C7—21no—
165C22×C4×C7C2×D411yescharacteristic
166C22×C4×C7C2×D411yescharacteristic
167C22×C4×C7C2×D411yescharacteristic
168C22×C4×C7C2×D411yescharacteristic
169C22×C4×C7C2×D411yescharacteristic
170C22×C4×C7C2×D411yescharacteristic
171C22×C4×C7C2411yescharacteristic
172C22×Dic7—21no—
173C22×Dic7—21no—
174C2×D28—21no—
175C2×D28—21no—
176C2×D28—21no—
177C2×D28—21no—
178C2×D28—21no—
179C2×D28—21no—
180C2×D28—21no—
181C2×D28—21no—
182C2×D28—21no—
183C2×D28—21no—
184C2×D28—24no—
185C2×D28—24no—
186C2×D28—81no—
187C2×D28—81no—
188C2×D28—81no—
189C2×D28—81no—
190C2×D28C22×C412yes—
191C2×D28C22×C412yes—
192C2×C4×D7—42no—
193C2×C4×D7—42no—
194C2×C4×D7—81no—
195C2×C4×D7—81no—
196C2×C4×D7—81no—
197C2×C4×D7—81no—
198C7×C4⋊C4—24no—
199C7×C4⋊C4—24no—
200C7×C4⋊C4—24no—
201C7×C4⋊C4—21no—
202C7×C4⋊C4—21no—
203C7×C4⋊C4—21no—
204C7×C4⋊C4C22×C412yes—
205C7×C4⋊C4C2×D412yes—
206C7×C4⋊C4#4112yes—
207C42×C7—24no—
208C42×C7—24no—
209C42×C7—24no—
210C42×C7—21no—
211C42×C7—21no—
212C42×C7—81no—
213C42×C7—81no—
214C42×C7—81no—
215C42×C7C22×C412yes—
216C42×C7C2×D412yes—
217C42×C7#4112yes—
218C42×C7#4112yes—
219#1143—28no—
220#1143—28no—
221(C2×D7)⋊C4—42no—
222(C2×D7)⋊C4—42no—
223(C2×D7)⋊C4—81no—
224(C2×D7)⋊C4—81no—
225(C2×D7)⋊C4—81no—
226(C2×D7)⋊C4—81no—
227C4⋊Dic7—21no—
228C4⋊Dic7—21no—
229C4⋊Dic7—21no—
230C4⋊Dic7—21no—
231C2×C7⋊C8—21no—
232C2×C7⋊C8—21no—
233C2×C7⋊C8—21no—
234C2×C7⋊C8—21no—
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—
243C22×SD16—71no—
244C22×SD16—71no—
245C2×#127—71no—
246C2×C4×Q8C2×D711yescharacteristic
247C2×C4×Q8C2×D711yescharacteristic
248C2×C4×Q8C2×D711yescharacteristic
249C2×C4×D4—71no—
250C2×C4×D4—71no—
251#460—78no—
252#440—144no—
253C4×SD16—144no—
254C2×#107—71no—
255C2×#106—71no—
256C2×C4⋊C8—71no—
257C2×C4⋊C8—71no—
258C2×#103—71no—
259C2×#103—71no—
260C2×#102—71no—
261C2×#102—71no—
262C2×#102—71no—
263C2×#102—71no—
264C2×#102—71no—
265C2×#102—71no—
266C2×#97—71no—
267C2×C4×C8—71no—
268#390—71no—
269#390—71no—
270#386—141no—
271#386—141no—
272#386—141no—
273#386—141no—
274#382—71no—
275C4×C4⋊C4—21no—
276C4×C4⋊C4—21no—
277C4×C4⋊C4—21no—
278C4×C4⋊C4C2×D711yescharacteristic
279C4×C4⋊C4C2×D711yescharacteristic
280C4×C4⋊C4C2×D711yescharacteristic
281#376—21no—
282#376C2×D711yescharacteristic
283#340—71no—
284#340—71no—
285#340—71no—
286#340—71no—
287#336—71no—
288#336—71no—
289C23×C7C22×D411yescharacteristic
290C22×D7—22no—
291C22×D7—22no—
292C22×D7—41no—
293C22×D7—41no—
294C22×D7—41no—
295C22×D7—41no—
296C22×D7—41no—
297C22×D7—41no—
298C22×D7—41no—
299C22×D7—41no—
300C22×D7—41no—
301C22×D7—41no—
302C22×D7—41no—
303C22×D7—41no—
304C7×Q8—22no—
305C7×Q8—22no—
306C7×Q8—22no—
307C7×Q8C4×D414yes—
308C2×C4×C7—22no—
309C2×C4×C7—22no—
310C2×C4×C7—22no—
311C2×C4×C7—21no—
312C2×C4×C7—21no—
313C2×C4×C7—21no—
314C2×C4×C7—21no—
315C2×C4×C7—21no—
316C2×C4×C7—21no—
317C2×C4×C7—21no—
318C2×C4×C7—21no—
319C2×C4×C7—22no—
320C2×C4×C7—22no—
321C2×C4×C7—21no—
322C2×C4×C7—21no—
323C2×C4×C7—22no—
324C2×C4×C7—21no—
325C2×C4×C7—21no—
326C2×C4×C7—21no—
327C2×C4×C7—21no—
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×C7C4×D412yes—
335C2×C4×C7C4×D412yes—
336C2×C4×C7#12112yes—
337C2×C4×C7#12112yes—
338C2×C4×C7C23×C411yescharacteristic
339C2×C4×C7C22×D411yescharacteristic
340C2×C4×C7C2×#4111yescharacteristic
341C2×C4×C7C2×#4111yescharacteristic
342C2×C4×C7C2×#4111yescharacteristic
343C2×C4×C7C2×#4111yescharacteristic
344C2×Dic7—41no—
345C2×Dic7—41no—
346C2×Dic7—41no—
347C2×Dic7—41no—
348C2×Dic7—41no—
349C2×Dic7—41no—
350D28—22no—
351D28—22no—
352D28—22no—
353D28—22no—
354D28—41no—
355D28—41no—
356D28—41no—
357D28—41no—
358D28—84no—
359D28—84no—
360C4×D7—84no—
361C4×D7—84no—
362C7⋊C8—22no—
363C7⋊C8—22no—
364C7⋊C8—41no—
365C7⋊C8—41no—
366C22×Q8C22×D711yescharacteristic
367C22×D4—71no—
368C22×D4—71no—
369C22×D4—141no—
370C22×D4—141no—
371C23×C4—141no—
372C23×C4—141no—
373C2×SD16—74no—
374C2×SD16—74no—
375C2×SD16—142no—
376C2×SD16—142no—
377C2×SD16—142no—
378C2×SD16—142no—
379C22×C8—71no—
380C22×C8—71no—
381C22×C8—71no—
382C22×C8—71no—
383#127—74no—
384#127—142no—
385C4×Q8—22no—
386C4×Q8—22no—
387C4×Q8—22no—
388C4×Q8—22no—
389C4×Q8C4×D714yescomplemented
390C4×Q8D2814yescomplemented
391C4×D4—142no—
392C4×D4—142no—
393C4×D4—142no—
394C4×D4—142no—
395C2×C4⋊C4—21no—
396C2×C4⋊C4—21no—
397C2×C4⋊C4—21no—
398C2×C4⋊C4—71no—
399C2×C4⋊C4—71no—
400C2×C4⋊C4C22×D711yescharacteristic
401C2×C4⋊C4C22×D711yescharacteristic
402C2×C4⋊C4C22×D711yescharacteristic
403C2×C22⋊C4—141no—
404C2×C22⋊C4—141no—
405C2×C22⋊C4—141no—
406C2×C22⋊C4—141no—
407C2×C22⋊C4—141no—
408C2×C22⋊C4—141no—
409C2×C42—21no—
410C2×C42—21no—
411C2×C42—21no—
412C2×C42—21no—
413C2×C42—21no—
414C2×C42—21no—
415C2×C42C22×D711yescharacteristic
416C2×C42C22×D711yescharacteristic
417C2×C42C22×D711yescharacteristic
418#107—142no—
419#106—142no—
420C4⋊C8—74no—
421C4⋊C8—142no—
422#103—142no—
423#103—142no—
424#102—74no—
425#102—74no—
426#102—142no—
427#102—142no—
428#102—142no—
429#102—142no—
430#97—142no—
431C4×C8—142no—
432#95—21no—
433#95—21no—
434#95—21no—
435#95—141no—
436#95—141no—
437#95C22⋊D711yescharacteristic
438#95C22⋊D711yescharacteristic
439#95C22⋊D711yescharacteristic
440#95C22⋊D711yescharacteristic
441C22×C7C2×C4×D411yescharacteristic
442C22×C7C2×#12111yescharacteristic
443C22×C7#52511yescharacteristic
444C22×C7#57611yescharacteristic
445C22×C7#57711yescharacteristic
446C22×C7#57711yescharacteristic
447C22×C7#57711yescharacteristic
448C2×D7—42no—
449C2×D7—42no—
450C2×D7—42no—
451C2×D7—42no—
452C2×D7—42no—
453C2×D7—42no—
454C2×D7—81no—
455C2×D7—81no—
456C2×D7—81no—
457C2×D7—81no—
458C2×D7—81no—
459C2×D7—81no—
460C2×D7—81no—
461C2×D7—81no—
462C4×C7—22no—
463C4×C7—22no—
464C4×C7—22no—
465C4×C7—22no—
466C4×C7—24no—
467C4×C7—41no—
468C4×C7—42no—
469C4×C7—41no—
470C4×C7—42no—
471C4×C7—42no—
472C4×C7C2×C4×D411yescharacteristic
473C4×C7C4×#4111yescharacteristic
474C4×C7#52911yescharacteristic
475C4×C7#53211yescharacteristic
476Dic7—81no—
477Dic7—81no—
478C24—141no—
479C24—141no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8C2×C4×D712yes—
484C2×Q8C2×D2812yes—
485C2×Q8#115712yes—
486C2×D4—72no—
487C2×D4—72no—
488C2×D4—144no—
489C2×D4—144no—
490C2×D4—141no—
491C2×D4—141no—
492C2×D4—141no—
493C2×D4—141no—
494C2×D4—141no—
495C2×D4—141no—
496C2×D4—141no—
497C2×D4—141no—
498C2×D4—141no—
499C2×D4—141no—
500C2×D4—561no—
501C2×D4—561no—
502C2×D4—561no—
503C2×D4—561no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—141no—
509C22×C4—141no—
510C22×C4—282no—
511C22×C4—282no—
512C22×C4—561no—
513C22×C4—561no—
514C22×C4—561no—
515C22×C4—561no—
516C22×C4C2×C22⋊D711yescharacteristic
517C22×C4C2×C22⋊D711yescharacteristic
518C22×C4C2×C22⋊D711yescharacteristic
519C22×C4C2×C22⋊D711yescharacteristic
520C22×C4C2×C22⋊D711yescharacteristic
521C22×C4C2×C22⋊D711yescharacteristic
522C22×C4C23×D711yescharacteristic
523SD16—148no—
524SD16—148no—
525C2×C8—72no—
526C2×C8—72no—
527C2×C8—141no—
528C2×C8—141no—
529C2×C8—141no—
530C2×C8—141no—
531C2×C8—141no—
532C2×C8—141no—
533C2×C8—141no—
534C2×C8—141no—
535C2×C8—141no—
536C2×C8—141no—
537C4⋊C4—24no—
538C4⋊C4—24no—
539C4⋊C4—24no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—141no—
544C4⋊C4—141no—
545C4⋊C4—141no—
546C4⋊C4—141no—
547C4⋊C4C2×C4×D712yes—
548C4⋊C4C2×D2812yes—
549C4⋊C4#115712yes—
550C22⋊C4—282no—
551C22⋊C4—282no—
552C22⋊C4—561no—
553C22⋊C4—561no—
554C22⋊C4—561no—
555C22⋊C4—561no—
556C42—24no—
557C42—24no—
558C42—24no—
559C42—21no—
560C42—21no—
561C42—81no—
562C42—81no—
563C42—81no—
564C42C2×C4×D712yes—
565C42C2×D2812yes—
566C42#115712yes—
567C42#115712yes—
568C2×C7C4×#12111yescharacteristic
569C2×C7#294611yescharacteristic
570C2×C7#294911yescharacteristic
571C2×C7#304311yescharacteristic
572C2×C7#304511yescharacteristic
573C2×C7#311911yescharacteristic
574C2×C7#312611yescharacteristic
575D7—82no—
576D7—82no—
577C23—142no—
578C23—142no—
579C23—281no—
580C23—281no—
581C23—281no—
582C23—281no—
583C23—281no—
584C23—281no—
585C23—281no—
586C23—281no—
587C23—281no—
588C23—281no—
589C23—281no—
590C23—281no—
591C23C22×C22⋊D711yescharacteristic
592Q8—22no—
593Q8—22no—
594Q8—22no—
595Q8C4×D2814yes—
596D4—142no—
597D4—142no—
598D4—142no—
599D4—142no—
600D4—281no—
601D4—281no—
602D4—281no—
603D4—281no—
604D4—564no—
605D4—564no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—281no—
633C2×C4—281no—
634C2×C4—281no—
635C2×C4—281no—
636C2×C4—281no—
637C2×C4—281no—
638C2×C4—564no—
639C2×C4—564no—
640C2×C4C4×C22⋊D712yes—
641C2×C4C4×C22⋊D712yes—
642C2×C4#649312yes—
643C2×C4#649312yes—
644C2×C4C22×C4×D711yescharacteristic
645C2×C4C22×D2811yescharacteristic
646C2×C4C2×#115711yescharacteristic
647C2×C4C2×#115711yescharacteristic
648C2×C4C2×#115711yescharacteristic
649C2×C4C2×#115711yescharacteristic
650C8—142no—
651C8—142no—
652C8—281no—
653C8—281no—
654C7#2151511yescharacteristic, complemented, Sylow
655C22—282no—
656C22—282no—
657C22—282no—
658C22—282no—
659C22—282no—
660C22—282no—
661C22—561no—
662C22—561no—
663C22—561no—
664C22—561no—
665C22—561no—
666C22—561no—
667C22—561no—
668C22—561no—
669C22C2×C4×C22⋊D711yescharacteristic
670C22C2×#649311yescharacteristic
671C22#9048211yescharacteristic
672C22#9052611yescharacteristic
673C22#9052811yescharacteristic
674C22#9052811yescharacteristic
675C22#9052811yescharacteristic
676C4—22no—
677C4—22no—
678C4—22no—
679C4—22no—
680C4—24no—
681C4—41no—
682C4—42no—
683C4—42no—
684C4—41no—
685C4—42no—
686C4—561no—
687C4—561no—
688C4C2×C4×D2811yescharacteristic
689C4C4×#115711yescharacteristic
690C4#9016811yescharacteristic
691C4#9017011yescharacteristic
692C2—562no—
693C2—562no—
694C2C4×#649311yescharacteristic
695C2#1173999311yescharacteristic
696C2#1173999611yescharacteristic
697C2#1173999811yescharacteristic
698C2#1174000911yescharacteristic
699C2#1174001011yescharacteristic
700C2#1174001311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D7
commutatorC2×C4×C7C23×C4
FrattiniC22×C4C23×D7
FittingC7×#2276C2
socleC23×C7C22×D4
prime radicalC2×#6437C22
cosocleC22×C4×C7C24
hypercenter#2276D7
hypocenterC7#21515
LCSG ▷ C2×C4×C7 ▷ C2×C7 ▷ C7
UCSC1 ◁ C23 ◁ #376 ◁ #2276

Complements

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

NH ≅ G/Ntype
1. C7×#2276C2semidirect
3. C2×#89798C2semidirect
4. C2×C4×#1143C2semidirect
6. #11729387C2semidirect
7. #11729387C2semidirect
8. #11729381C2semidirect
10. #11727228C2semidirect
11. C4×#6383C2semidirect
12. #11727222C2semidirect
13. #11727217C2semidirect
14. #11727216C2semidirect
15. #11727190C2semidirect
34. #89799C4semidirect
74. C4×C7×Q8C2×C4semidirect
75. C4×C7×Q8D4semidirect
95. C2×#1143C2×C4semidirect
96. C2×#1143C2×C4semidirect
130. #6383C2×C4semidirect
131. #6383C2×C4semidirect
135. C4⋊(C7⋊C8)C2×C4semidirect
142. #2276D7semidirect
389. C4×Q8C4×D7semidirect
390. C4×Q8D28semidirect
654. C7#21515semidirect

Maximal subgroups

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

subgroupindex
C7×#22762
C2×#897992
C2×#897982
C2×C4×#11432
#117308342
#117293872
#117293812
#117272412
#117272282
C4×#63832
#117272222
#117272172
#117272162
#117271902
#215157