Finite Group Databasebeta

← #13526876

Subgroups — #13526876

Order 1792.

1978 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
1C2×C4×C7×C22⋊C4C211yesmaximal, characteristic
2#11741476C212yesmaximal
3#11739562C212yesmaximal
4#11739538C212yesmaximal
5#11739521C211yesmaximal, characteristic, complemented
6#11739521C211yesmaximal, characteristic, complemented
7C4×#6487C212yesmaximal, complemented
8#11730994C214yesmaximal, complemented
9#11730993C214yesmaximal, complemented
10#11730958C212yesmaximal, complemented
11#11730953C212yesmaximal, complemented
12#11730933C212yesmaximal, complemented
13#11730929C212yesmaximal, complemented
14#11730805C212yesmaximal, complemented
15#11730779C212yesmaximal, complemented
16C24×C4×C7C2211yescharacteristic
17C22×C7×C22⋊C4C2211yescharacteristic
18C22×C7×C22⋊C4C2211yescharacteristic
19C22×C42×C7C2211yescharacteristic
20C22×C42×C7C2211yescharacteristic
21C2×#6487C2212yes—
22C2×#6487C2212yes—
23C2×#6487C2212yes—
24C2×#6487C2212yes—
25C2×#6432C2211yescharacteristic, complemented
26C2×#6432C2211yescharacteristic, complemented
27C2×C4×Dic14C2212yescomplemented
28C4×C7×C22⋊C4C2212yes—
29C4×C7×C22⋊C4C2212yes—
30C4×C7×C22⋊C4C2212yes—
31C4×C7×C22⋊C4C2212yes—
32C2×C7×#95C2211yescharacteristic
33C2×C7×#95C2211yescharacteristic
34#90019C2214yes—
35#89984C2212yes—
36#89984C2212yes—
37#89984C2212yes—
38#89984C2212yes—
39#89984C2212yes—
40#89984C2212yes—
41#89982C2214yes—
42#89982C2214yes—
43#89982C2214yes—
44#89982C2214yes—
45C4×C22⋊Dic7C2214yes—
46#89723C2214yes—
47#89723C2214yes—
48#89723C2214yes—
49#89723C2214yes—
50#89721C2214yes—
51#89720C2214yes—
52#89720C2214yes—
53#89719C2214yes—
54#89707C2211yescharacteristic, complemented
55#89707C2211yescharacteristic, complemented
56C4×C4⋊Dic7C2212yescomplemented
57#89705C2214yescomplemented
58C4×Dic7⋊C4C2214yescomplemented
59#89701C2212yescomplemented
60#89701C2212yescomplemented
61#89701C2212yescomplemented
62#89700C2212yescomplemented
63#89700C2212yescomplemented
64#89700C2212yescomplemented
65#89700C2212yescomplemented
66#89700C2212yescomplemented
67#89432C2214yescomplemented
68#89432C2214yescomplemented
69#89429C2214yescomplemented
70#89429C2214yescomplemented
71#89427C2214yescomplemented
72#89426C2214yescomplemented
73#89419C2214yescomplemented
74#89418C2214yescomplemented
75#35014—71nomaximal, Sylow
76C25×C7C2311yescharacteristic
77C23×C4×C7—24no—
78C23×C4×C7—42no—
79C23×C4×C7—42no—
80C23×C4×C7C2312yes—
81C23×C4×C7C2311yescharacteristic
82C23×C4×C7C2311yescharacteristic
83C23×C4×C7C2311yescharacteristic
84C23×C4×C7C2312yes—
85C23×C4×C7C2311yescharacteristic
86C23×C4×C7C2311yescharacteristic
87C23×C4×C7C2311yescharacteristic
88C22×Dic14C2312yes—
89C22×Dic14C2312yes—
90C2×C7×C22⋊C4—24no—
91C2×C7×C22⋊C4Q818yescomplemented
92C2×C7×C22⋊C4C2312yes—
93C2×C7×C22⋊C4C2312yes—
94C2×C7×C22⋊C4C2312yes—
95C2×C7×C22⋊C4C2312yes—
96C2×C42×C7—42no—
97C2×C42×C7—42no—
98C2×C42×C7C2312yes—
99C2×C42×C7C2311yescharacteristic
100C2×C42×C7C2311yescharacteristic
101C2×C42×C7C2311yescharacteristic
102C2×C42×C7C2311yescharacteristic
103C2×C42×C7C2312yes—
104C2×C22⋊Dic7C2314yes—
105C2×C22⋊Dic7C2314yes—
106C2×C22⋊Dic7C2314yes—
107C2×C22⋊Dic7C2314yes—
108C2×C22⋊Dic7C2314yes—
109C2×C22⋊Dic7C2314yes—
110C2×C4⋊Dic7C2312yes—
111C2×C4⋊Dic7C2312yes—
112C2×C4⋊Dic7C2312yes—
113C2×C4⋊Dic7C2312yes—
114C2×C4⋊Dic7C2312yes—
115C2×C4⋊Dic7C2312yes—
116C2×C4⋊Dic7C2312yes—
117C2×C4⋊Dic7C2312yes—
118C2×C4⋊Dic7C2312yes—
119C2×C4⋊Dic7C2312yes—
120#6487—28no—
121#6487—28no—
122#6487—44no—
123#6487—44no—
124C2×Dic7⋊C4C2314yes—
125C2×Dic7⋊C4C2314yes—
126C2×Dic7⋊C4C2314yes—
127C2×Dic7⋊C4C2314yes—
128C2×Dic7⋊C4C2314yes—
129C2×Dic7⋊C4C2314yes—
130C2×C4×Dic7C2314yes—
131C2×C4×Dic7C2314yes—
132#6432—42no—
133#6432—42no—
134C4×Dic14—44no—
135C7×#95C2312yes—
136C7×#95C2312yes—
137C7×#95C2312yes—
138C7×#95C2312yes—
139C7⋊#95C2314yes—
140C7⋊#95C2314yes—
141C7⋊#95C2314yes—
142C7⋊#95C2314yes—
143C7⋊#95C2314yes—
144C7⋊#95C2314yes—
145C7⋊#95C2314yes—
146C7⋊#95C2314yes—
147C7⋊#95C2314yes—
148C7⋊#95C2314yes—
149#2857—71no—
150#2857—71no—
151#2848—72no—
152#2646—72no—
153#2626—72no—
154#2589—74no—
155#2587—74no—
156#2497—72no—
157#2492—72no—
158#2429—72no—
159#2423—72no—
160#2329—72no—
161#2312—72no—
162C4×C22⋊Q8—72no—
163C2×C4×C22⋊C4D711yescharacteristic
164C24×C7—22no—
165C24×C7—22no—
166C24×C7—41no—
167C24×C7—41no—
168C24×C7—41no—
169C24×C7—41no—
170C24×C7C2×Q814yes—
171C24×C7C2412yes—
172C24×C7C2411yescharacteristic
173C22×C4×C7—22no—
174C22×C4×C7—22no—
175C22×C4×C7—22no—
176C22×C4×C7—22no—
177C22×C4×C7—24no—
178C22×C4×C7—24no—
179C22×C4×C7—24no—
180C22×C4×C7—24no—
181C22×C4×C7—41no—
182C22×C4×C7—41no—
183C22×C4×C7—41no—
184C22×C4×C7—41no—
185C22×C4×C7—42no—
186C22×C4×C7—42no—
187C22×C4×C7—41no—
188C22×C4×C7—41no—
189C22×C4×C7—41no—
190C22×C4×C7—41no—
191C22×C4×C7—41no—
192C22×C4×C7—41no—
193C22×C4×C7—416no—
194C22×C4×C7C2×Q814yes—
195C22×C4×C7C2×Q814yes—
196C22×C4×C7#4114yes—
197C22×C4×C7#4114yes—
198C22×C4×C7C2412yes—
199C22×C4×C7C2412yes—
200C22×C4×C7C2412yes—
201C22×C4×C7C2411yescharacteristic
202C22×C4×C7C2411yescharacteristic
203C22×C4×C7C2411yescharacteristic
204C22×C4×C7C2411yescharacteristic
205C22×C4×C7C2411yescharacteristic
206C22×C4×C7C2411yescharacteristic
207C22×Dic7C2414yes—
208C22×Dic7C2414yes—
209C22×Dic7C2414yes—
210C22×Dic7C2414yes—
211C2×Dic14—24no—
212C2×Dic14—24no—
213C2×Dic14—24no—
214C2×Dic14—24no—
215C2×Dic14—42no—
216C2×Dic14—42no—
217C7×C22⋊C4—24no—
218C7×C22⋊C4—24no—
219C7×C22⋊C4C2×Q818yes—
220C7×C22⋊C4C2×Q818yes—
221C42×C7—24no—
222C42×C7—22no—
223C42×C7—22no—
224C42×C7—42no—
225C42×C7—41no—
226C42×C7—41no—
227C22⋊Dic7—28no—
228C22⋊Dic7—28no—
229C22⋊Dic7—44no—
230C22⋊Dic7—44no—
231C22⋊Dic7—44no—
232C22⋊Dic7—44no—
233C4⋊Dic7—24no—
234C4⋊Dic7—24no—
235C4⋊Dic7—24no—
236C4⋊Dic7—24no—
237C4⋊Dic7—42no—
238C4⋊Dic7—42no—
239C4⋊Dic7—42no—
240C4⋊Dic7—42no—
241C4⋊Dic7—42no—
242C4⋊Dic7—42no—
243Dic7⋊C4—28no—
244Dic7⋊C4—28no—
245Dic7⋊C4—44no—
246Dic7⋊C4—44no—
247Dic7⋊C4—44no—
248Dic7⋊C4—44no—
249C4×Dic7—44no—
250C4×Dic7—44no—
251C24×C4C2×D711yescharacteristic
252C2×C4⋊Q8—71no—
253C2×C4⋊Q8—71no—
254C2×C22⋊Q8—72no—
255C2×C22⋊Q8—72no—
256C2×C22⋊Q8—72no—
257C2×C22⋊Q8—72no—
258C2×C4×Q8—72no—
259C22×C22⋊C4C2×D711yescharacteristic
260C22×C22⋊C4C2×D711yescharacteristic
261C22×C42C2×D711yescharacteristic
262C22×C42C2×D711yescharacteristic
263#400—74no—
264#400—74no—
265#399—74no—
266#398—74no—
267#398—74no—
268#396—74no—
269#396—74no—
270#393—74no—
271#391—72no—
272#391—72no—
273#391—72no—
274#391—74no—
275#389—72no—
276#389—72no—
277#389—72no—
278#389—72no—
279#389—72no—
280#389—74no—
281#388—74no—
282#388—74no—
283#388—74no—
284#388—74no—
285#387—74no—
286#387—74no—
287#387—74no—
288#385—74no—
289#385—74no—
290#385—74no—
291#385—74no—
292#384—71no—
293#384—71no—
294#380—72no—
295#380—72no—
296#380—72no—
297#380—72no—
298#380—72no—
299#380—72no—
300#379—74no—
301C4×C4⋊C4—74no—
302C4×C4⋊C4—72no—
303C4×C22⋊C4—74no—
304C4×C22⋊C4C2×D712yes—
305C4×C22⋊C4C2×D712yes—
306C4×C22⋊C4C2×D712yes—
307C4×C22⋊C4C2×D712yes—
308C2×#95C2×D711yescharacteristic
309C2×#95C2×D711yescharacteristic
310C23×C7—21no—
311C23×C7—21no—
312C23×C7—21no—
313C23×C7—21no—
314C23×C7—28no—
315C23×C7—22no—
316C23×C7—22no—
317C23×C7—22no—
318C23×C7—22no—
319C23×C7—22no—
320C23×C7—22no—
321C23×C7—44no—
322C23×C7—44no—
323C23×C7—44no—
324C23×C7—44no—
325C23×C7—44no—
326C23×C7—44no—
327C23×C7C22×Q814yes—
328C23×C7C22×Q812yes—
329C23×C7C2×#4112yes—
330C23×C7C2×#4112yes—
331C23×C7C2511yescharacteristic
332C2×C4×C7—22no—
333C2×C4×C7—21no—
334C2×C4×C7—21no—
335C2×C4×C7—21no—
336C2×C4×C7—21no—
337C2×C4×C7—21no—
338C2×C4×C7—21no—
339C2×C4×C7—22no—
340C2×C4×C7—21no—
341C2×C4×C7—21no—
342C2×C4×C7—21no—
343C2×C4×C7—21no—
344C2×C4×C7—28no—
345C2×C4×C7—22no—
346C2×C4×C7—22no—
347C2×C4×C7—22no—
348C2×C4×C7—22no—
349C2×C4×C7—22no—
350C2×C4×C7—22no—
351C2×C4×C7—44no—
352C2×C4×C7—44no—
353C2×C4×C7—44no—
354C2×C4×C7—48no—
355C2×C4×C7—44no—
356C2×C4×C7—44no—
357C2×C4×C7—48no—
358C2×C4×C7C22×Q814yes—
359C2×C4×C7C22×Q812yes—
360C2×C4×C7C22×Q812yes—
361C2×C4×C7C2×#4112yes—
362C2×C4×C7C2×#4112yes—
363C2×C4×C7C2×#4112yes—
364C2×C4×C7C2×#4112yes—
365C2×C4×C7H(5,𝔽2)12yes—
366C2×C4×C7H(5,𝔽2)12yes—
367C2×Dic7—24no—
368C2×Dic7—24no—
369C2×Dic7—24no—
370C2×Dic7—24no—
371C2×Dic7—24no—
372C2×Dic7—24no—
373C2×Dic7—24no—
374C2×Dic7—24no—
375C2×Dic7—24no—
376C2×Dic7—24no—
377C2×Dic7—24no—
378C2×Dic7—24no—
379Dic14—48no—
380Dic14—84no—
381C25C22×D711yescharacteristic
382C22×Q8—72no—
383C22×Q8—72no—
384C23×C4—24no—
385C23×C4—42no—
386C23×C4—42no—
387C23×C4C22×D712yes—
388C23×C4C22×D711yescharacteristic
389C23×C4C22×D711yescharacteristic
390C23×C4C22×D711yescharacteristic
391C23×C4C22×D712yes—
392C23×C4C22×D711yescharacteristic
393C23×C4C22×D711yescharacteristic
394C23×C4C22×D711yescharacteristic
395C4⋊Q8—282no—
396C4⋊Q8—282no—
397C22⋊Q8—148no—
398C22⋊Q8—148no—
399C22⋊Q8—284no—
400C22⋊Q8—284no—
401C4×Q8—284no—
402C2×C4⋊C4—72no—
403C2×C4⋊C4—72no—
404C2×C4⋊C4—74no—
405C2×C4⋊C4—74no—
406C2×C4⋊C4—72no—
407C2×C4⋊C4—72no—
408C2×C4⋊C4—74no—
409C2×C4⋊C4—74no—
410C2×C4⋊C4—74no—
411C2×C4⋊C4—72no—
412C2×C4⋊C4—72no—
413C2×C4⋊C4—72no—
414C2×C4⋊C4—74no—
415C2×C4⋊C4—72no—
416C2×C4⋊C4—72no—
417C2×C4⋊C4—72no—
418C2×C22⋊C4—24no—
419C2×C22⋊C4—74no—
420C2×C22⋊C4—74no—
421C2×C22⋊C4—74no—
422C2×C22⋊C4—74no—
423C2×C22⋊C4—74no—
424C2×C22⋊C4—74no—
425C2×C22⋊C4Dic1418yescomplemented
426C2×C22⋊C4C22×D712yes—
427C2×C22⋊C4C22×D712yes—
428C2×C22⋊C4C22×D712yes—
429C2×C22⋊C4C22×D712yes—
430C2×C42—42no—
431C2×C42—42no—
432C2×C42—74no—
433C2×C42—74no—
434C2×C42C22×D712yes—
435C2×C42C22×D711yescharacteristic
436C2×C42C22×D711yescharacteristic
437C2×C42C22×D712yes—
438C2×C42C22×D711yescharacteristic
439C2×C42C22×D711yescharacteristic
440#95—74no—
441#95—74no—
442#95—74no—
443#95—74no—
444#95—74no—
445#95—74no—
446#95—74no—
447#95—74no—
448#95—74no—
449#95—74no—
450#95C22×D712yes—
451#95C22×D712yes—
452#95C22×D712yes—
453#95C22×D712yes—
454C22×C7—22no—
455C22×C7—22no—
456C22×C7—22no—
457C22×C7—22no—
458C22×C7—22no—
459C22×C7—22no—
460C22×C7—24no—
461C22×C7—24no—
462C22×C7—24no—
463C22×C7—416no—
464C22×C7—42no—
465C22×C7—42no—
466C22×C7—42no—
467C22×C7—42no—
468C22×C7#53314yes—
469C22×C7C23×Q811yescharacteristic
470C22×C7C22×#4111yescharacteristic
471C22×C7C22×#4111yescharacteristic
472C22×C7C2×H(5,𝔽2)11yescharacteristic
473C22×C7C2×H(5,𝔽2)11yescharacteristic
474C22×C7#58511yescharacteristic
475C22×C7#58511yescharacteristic
476C4×C7—22no—
477C4×C7—24no—
478C4×C7—22no—
479C4×C7—22no—
480C4×C7—22no—
481C4×C7—22no—
482C4×C7—42no—
483C4×C7—42no—
484C4×C7#53814yes—
485Dic7—44no—
486Dic7—44no—
487Dic7—44no—
488Dic7—44no—
489C24—22no—
490C24—22no—
491C24—41no—
492C24—41no—
493C24—41no—
494C24—41no—
495C24C2×Dic1414yes—
496C24C23×D712yes—
497C24C23×D711yescharacteristic
498C2×Q8—144no—
499C2×Q8—144no—
500C2×Q8—144no—
501C2×Q8—144no—
502C2×Q8—282no—
503C2×Q8—282no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—41no—
513C22×C4—41no—
514C22×C4—41no—
515C22×C4—41no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—41no—
519C22×C4—41no—
520C22×C4—41no—
521C22×C4—41no—
522C22×C4—41no—
523C22×C4—41no—
524C22×C4—416no—
525C22×C4—74no—
526C22×C4—74no—
527C22×C4—74no—
528C22×C4—74no—
529C22×C4C2×Dic1414yes—
530C22×C4C2×Dic1414yes—
531C22×C4#115714yes—
532C22×C4#115714yes—
533C22×C4C23×D712yes—
534C22×C4C23×D712yes—
535C22×C4C23×D712yes—
536C22×C4C23×D711yescharacteristic
537C22×C4C23×D711yescharacteristic
538C22×C4C23×D711yescharacteristic
539C22×C4C23×D711yescharacteristic
540C22×C4C23×D711yescharacteristic
541C22×C4C23×D711yescharacteristic
542C4⋊C4—148no—
543C4⋊C4—148no—
544C4⋊C4—144no—
545C4⋊C4—144no—
546C4⋊C4—144no—
547C4⋊C4—144no—
548C4⋊C4—284no—
549C4⋊C4—284no—
550C4⋊C4—284no—
551C4⋊C4—284no—
552C4⋊C4—282no—
553C4⋊C4—282no—
554C4⋊C4—282no—
555C4⋊C4—282no—
556C4⋊C4—282no—
557C4⋊C4—282no—
558C22⋊C4—24no—
559C22⋊C4—24no—
560C22⋊C4—148no—
561C22⋊C4—148no—
562C22⋊C4—284no—
563C22⋊C4—284no—
564C22⋊C4—284no—
565C22⋊C4—284no—
566C22⋊C4C2×Dic1418yes—
567C22⋊C4C2×Dic1418yes—
568C42—24no—
569C42—22no—
570C42—22no—
571C42—42no—
572C42—41no—
573C42—41no—
574C42—284no—
575C42—284no—
576C2×C7—24no—
577C2×C7—44no—
578C2×C7C2×#53311yescharacteristic
579C2×C7C2×#53811yescharacteristic
580C2×C7#345511yescharacteristic
581C2×C7#350111yescharacteristic
582C2×C7#350111yescharacteristic
583C2×C7#350511yescharacteristic
584C2×C7#350611yescharacteristic
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—28no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—44no—
597C23—44no—
598C23—44no—
599C23—44no—
600C23—44no—
601C23—44no—
602C23C22×Dic1414yes—
603C23C22×Dic1412yes—
604C23C2×#115712yes—
605C23C2×#115712yes—
606C23C24×D711yescharacteristic
607Q8—288no—
608Q8—564no—
609C2×C4—22no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—28no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—44no—
629C2×C4—44no—
630C2×C4—44no—
631C2×C4—48no—
632C2×C4—44no—
633C2×C4—44no—
634C2×C4—48no—
635C2×C4—144no—
636C2×C4—144no—
637C2×C4—144no—
638C2×C4—144no—
639C2×C4—144no—
640C2×C4—144no—
641C2×C4—144no—
642C2×C4—144no—
643C2×C4—144no—
644C2×C4—144no—
645C2×C4—144no—
646C2×C4—144no—
647C2×C4C22×Dic1414yes—
648C2×C4C22×Dic1412yes—
649C2×C4C22×Dic1412yes—
650C2×C4C2×#115712yes—
651C2×C4C2×#115712yes—
652C2×C4C2×#115712yes—
653C2×C4C2×#115712yes—
654C2×C4#654812yes—
655C2×C4#654812yes—
656C7#3501411yescharacteristic, complemented, Sylow
657C22—22no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—24no—
664C22—24no—
665C22—24no—
666C22—416no—
667C22—42no—
668C22—42no—
669C22—42no—
670C22—42no—
671C22#9016114yes—
672C22C23×Dic1411yescharacteristic
673C22C22×#115711yescharacteristic
674C22C22×#115711yescharacteristic
675C22C2×#654811yescharacteristic
676C22C2×#654811yescharacteristic
677C22#9061611yescharacteristic
678C22#9061611yescharacteristic
679C4—22no—
680C4—24no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—42no—
686C4—42no—
687C4—284no—
688C4—284no—
689C4—284no—
690C4—284no—
691C4#9018514yes—
692C2—24no—
693C2—44no—
694C2C2×#9016111yescharacteristic
695C2C2×#9018511yescharacteristic
696C2#1174280611yescharacteristic
697C2#1174283411yescharacteristic
698C2#1174283411yescharacteristic
699C2#1174285511yescharacteristic
700C2#1174285611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D7
commutator, socle, cosocleC23×C7C25
FittingC2×C4×C7×C22⋊C4C2
prime radicalC25×C7C23
hypercenterC2×C4×C22⋊C4D7
hypocenterC7#35014
LCSG ▷ C23×C7 ▷ C7
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4

Complements

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

NH ≅ G/Ntype
5. #11739521C2semidirect
6. #11739521C2semidirect
7. C4×#6487C2semidirect
8. #11730994C2semidirect
9. #11730993C2semidirect
10. #11730958C2semidirect
11. #11730953C2semidirect
12. #11730933C2semidirect
13. #11730929C2semidirect
14. #11730805C2semidirect
15. #11730779C2semidirect
25. C2×#6432C22semidirect
26. C2×#6432C22semidirect
27. C2×C4×Dic14C22semidirect
54. #89707C22semidirect
55. #89707C22semidirect
56. C4×C4⋊Dic7C22semidirect
57. #89705C22semidirect
58. C4×Dic7⋊C4C22semidirect
59. #89701C22semidirect
60. #89701C22semidirect
61. #89701C22semidirect
62. #89700C22semidirect
63. #89700C22semidirect
64. #89700C22semidirect
65. #89700C22semidirect
66. #89700C22semidirect
67. #89432C22semidirect
68. #89432C22semidirect
69. #89429C22semidirect
70. #89429C22semidirect
71. #89427C22semidirect
72. #89426C22semidirect
73. #89419C22semidirect
74. #89418C22semidirect
91. C2×C7×C22⋊C4Q8semidirect
425. C2×C22⋊C4Dic14semidirect
656. C7#35014semidirect

Maximal subgroups

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

subgroupindex
C2×C4×C7×C22⋊C42
#117414762
#117395622
#117395382
#117395212
C4×#64872
#117309942
#117309932
#117309582
#117309532
#117309332
#117309292
#117308052
#117307792
#350147