Finite Group Databasebeta

← #32203302

Subgroups — #32203302

Order 18176.

7538 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C24×C4×D71C211yesmaximal, characteristic, complemented
2C2×#17986508C213yesmaximal, complemented
3#22596635C213yesmaximal, complemented
4#22596631C213yesmaximal, complemented
5#22596626C213yesmaximal, complemented
6#22596625C211yesmaximal, characteristic, complemented
7#22596621C213yesmaximal, complemented
8#22596620C211yesmaximal, characteristic, complemented
9#22596618C211yesmaximal, characteristic, complemented
10#22596616C211yesmaximal, characteristic, complemented
11C4×#14556098C213yesmaximal, complemented
12C4×#14556097C211yesmaximal, characteristic, complemented
13C4×#14556096C213yesmaximal, complemented
14#22590721C213yesmaximal, complemented
15C4×#120×C71C211yesmaximal, characteristic, complemented
16C25×D71C2211yescharacteristic
17C22×#11765865C2211yescharacteristic, complemented
18C24×Dic71C2211yescharacteristic
19C23×C4×D71—224no—
20C23×C4×D71C2213yes—
21C23×C4×D71C2213yes—
22C23×C4×D71C2213yes—
23C23×C4×D71C2213yes—
24#17986508—224no—
25C2×#14556113C2213yescomplemented
26C2×#14556110C2213yescomplemented
27C2×#14556106C2213yescomplemented
28C2×#14556105C2213yescomplemented
29C2×#14556101C2213yescomplemented
30C2×#14556100C2213yescomplemented
31C2×#14556098C2213yes—
32C2×#14556098C2213yes—
33C2×#14556097C2211yescharacteristic
34C2×#14556096C2213yes—
35C2×#14556096C2213yes—
36C2×C4×D284C2213yescomplemented
37C2×C4×C22⋊D71C2213yescomplemented
38C2×C4×C22⋊D71C2213yescomplemented
39C2×#14556085C2213yescomplemented
40#17985879C2213yescomplemented
41#17985878C2213yescomplemented
42#17985877C2216yescomplemented
43#17985876C2213yescomplemented
44#17985875C2216yescomplemented
45#17985874C2213yescomplemented
46#17985873C2216yescomplemented
47#17985872C2213yescomplemented
48#17985871C2213yescomplemented
49#17985870C2216yescomplemented
50#17985861C2216yescomplemented
51#17985858C2216yescomplemented
52#17985857C2213yescomplemented
53#17985857C2213yescomplemented
54#17985855C2211yescharacteristic
55#17985854C2213yes—
56#17985854C2213yes—
57#17985854C2213yes—
58#17985854C2213yes—
59C4×(C2×D71)⋊C4C2216yescomplemented
60C4×C22⋊Dic71C2213yescomplemented
61C24×C4×C71C2211yescharacteristic
62C2×#120×C71C2211yescharacteristic
63C2×C4×D4×C71C2213yescomplemented
64#386×C71C2213yescomplemented
65#385×C71C2213yescomplemented
66#379×C71C2211yescharacteristic
67C4×C22⋊C4×C71C2213yescomplemented
68C24×D71—212no—
69C24×D71—212no—
70C24×D71—24no—
71C24×D71C2313yes—
72C24×D71C2313yes—
73C2×#11765865—212no—
74C22×Dic142C2311yescharacteristic, complemented
75C22×D284C2311yescharacteristic
76C22×D284C2313yes—
77C22×C22⋊D71C2311yescharacteristic
78C22×C22⋊D71C2313yes—
79C22×C22⋊D71C2313yes—
80C22×C22⋊D71C2311yescharacteristic, complemented
81C23×Dic71—212no—
82C23×Dic71C2313yes—
83C23×Dic71C2313yes—
84C22×C4×D71—2128no—
85C22×C4×D71—212no—
86C22×C4×D71—212no—
87C22×C4×D71—224no—
88C22×C4×D71—224no—
89C22×C4×D71—224no—
90C22×C4×D71—224no—
91C22×C4×D71—212no—
92C22×C4×D71D4124yescomplemented
93C22×C4×D71C2316yes—
94C22×C4×D71C2313yes—
95C22×C4×D71C2313yes—
96C22×C4×D71C2313yes—
97C22×C4×D71C2311yescharacteristic
98C22×C4×D71C2311yescharacteristic, complemented
99#14556113—212no—
100#14556110—212no—
101#14556106—212no—
102#14556105—212no—
103#14556101—212no—
104#14556100—212no—
105#14556098—212no—
106#14556098—212no—
107#14556097—24no—
108#14556096—212no—
109#14556096—212no—
110C4×D284—212no—
111C4×C22⋊D71—212no—
112C4×C22⋊D71—212no—
113#14556085—212no—
114C2×C4⋊Dic71C2313yescomplemented
115C2×Dic71⋊C4C2313yescomplemented
116C2×Dic71⋊C4C2313yescomplemented
117C2×Dic71⋊C4C2313yescomplemented
118C2×Dic71⋊C4C2313yescomplemented
119C2×C22⋊Dic71C2313yes—
120C2×C22⋊Dic71C2313yes—
121C2×C22⋊Dic71C2313yes—
122C2×C22⋊Dic71C2313yescomplemented
123C2×(C2×D71)⋊C4C2316yes—
124C2×(C2×D71)⋊C4C2316yes—
125C2×(C2×D71)⋊C4C2313yes—
126C2×(C2×D71)⋊C4C2313yes—
127C2×(C2×D71)⋊C4C2313yes—
128C2×(C2×D71)⋊C4C2313yes—
129C2×(C2×D71)⋊C4C2313yescomplemented
130C2×(C2×D71)⋊C4C2313yescomplemented
131C2×C4×Dic71C2313yescomplemented
132C71⋊#95C2316yescomplemented
133C71⋊#95C2316yescomplemented
134C71⋊#95C2316yescomplemented
135C25×C71C2311yescharacteristic
136C22×D4×C71C2313yes—
137C23×C4×C71—212no—
138C23×C4×C71C2313yes—
139C23×C4×C71C2313yes—
140C23×C4×C71C2311yescharacteristic, complemented
141#120×C71—24no—
142C4×D4×C71—212no—
143C2×C4⋊C4×C71C2313yescomplemented
144C2×C22⋊C4×C71C2313yes—
145C2×C22⋊C4×C71C2313yes—
146C2×C22⋊C4×C71C2313yes—
147C2×C22⋊C4×C71C2313yescomplemented
148C2×C42×C71C2313yescomplemented
149#95×C71C2316yescomplemented
150C23×D71—232no—
151C23×D71—296no—
152C23×D71—296no—
153C23×D71—26no—
154C23×D71—26no—
155C23×D71—26no—
156C23×D71—26no—
157C23×D71—212no—
158C23×D71—212no—
159C23×D71—212no—
160C23×D71—212no—
161C23×D71C2×D4112yes—
162C23×D71#41112yescomplemented
163C23×D71C2411yescharacteristic
164C23×D71C2411yescharacteristic
165C23×D71C2413yes—
166#11765865—416no—
167C2×Dic142—26no—
168C2×D284—26no—
169C2×D284—26no—
170C2×D284—212no—
171C2×C22⋊D71—26no—
172C2×C22⋊D71—26no—
173C2×C22⋊D71—26no—
174C2×C22⋊D71—26no—
175C2×C22⋊D71—26no—
176C2×C22⋊D71—212no—
177C2×C22⋊D71—26no—
178C22×Dic71—232no—
179C22×Dic71—26no—
180C22×Dic71—212no—
181C22×Dic71—212no—
182C22×Dic71C2×D4112yes—
183C22×Dic71C2411yescharacteristic
184C22×Dic71C2413yes—
185C22×Dic71C2413yes—
186C22×Dic71C2413yes—
187C22×Dic71C2411yescharacteristic
188C2×C4×D71—296no—
189C2×C4×D71—296no—
190C2×C4×D71—296no—
191C2×C4×D71—212no—
192C2×C4×D71—212no—
193C2×C4×D71—212no—
194C2×C4×D71—212no—
195C2×C4×D71—212no—
196C2×C4×D71—212no—
197C2×C4×D71—296no—
198C2×C4×D71—26no—
199C2×C4×D71C2×D4112yes—
200C2×C4×D71C2×D4112yes—
201C2×C4×D71C2×D4112yes—
202C2×C4×D71C2×D4112yes—
203C4⋊Dic71—26no—
204Dic71⋊C4—26no—
205Dic71⋊C4—26no—
206Dic71⋊C4—26no—
207Dic71⋊C4—26no—
208C22⋊Dic71—26no—
209C22⋊Dic71—26no—
210C22⋊Dic71—26no—
211C22⋊Dic71—26no—
212(C2×D71)⋊C4—26no—
213(C2×D71)⋊C4—26no—
214(C2×D71)⋊C4—26no—
215(C2×D71)⋊C4—26no—
216(C2×D71)⋊C4—212no—
217(C2×D71)⋊C4—212no—
218(C2×D71)⋊C4—26no—
219(C2×D71)⋊C4—26no—
220C4×Dic71—26no—
221C24×C71—26no—
222C24×C71—26no—
223C24×C71#4114yescomplemented
224C24×C71C2411yescharacteristic
225C24×C71C2413yes—
226C2×D4×C71—26no—
227C2×D4×C71—26no—
228C2×D4×C71—26no—
229C22×C4×C71—232no—
230C22×C4×C71—26no—
231C22×C4×C71—212no—
232C22×C4×C71—212no—
233C22×C4×C71—26no—
234C22×C4×C71C2×D4112yes—
235C22×C4×C71C2411yescharacteristic
236C22×C4×C71C2413yes—
237C22×C4×C71C2413yes—
238C22×C4×C71C2413yes—
239C22×C4×C71C2411yescharacteristic
240C4⋊C4×C71—26no—
241C22⋊C4×C71—26no—
242C22⋊C4×C71—26no—
243C22⋊C4×C71—26no—
244C22⋊C4×C71—26no—
245C42×C71—26no—
246C23×C71—28no—
247C23×C71—224no—
248C23×C71—224no—
249C23×C71—26no—
250C23×C71—26no—
251C23×C71—23no—
252C23×C71—21no—
253C23×C71—23no—
254C23×C71C22×D416yes—
255C23×C71C2×#4116yes—
256C23×C71C2×#4116yes—
257C23×C71C2511yescharacteristic
258C22×D71—224no—
259C22×D71—2256no—
260C22×D71—248no—
261C22×D71—248no—
262C22×D71—248no—
263C22×D71—224no—
264C22×D71—224no—
265C22×D71—224no—
266C22×D71—26no—
267C22×D71—23no—
268C22×D71—23no—
269C22×D71—21no—
270C22×D71—23no—
271C22×D71—224no—
272C22×D71—224no—
273C22×D71—248no—
274C22×D71—23no—
275C22×D71—21no—
276C22×D71—23no—
277C22×D71C22×D416yes—
278C22×D71C22×D416yes—
279C22×D71C2×#41112yes—
280D4×C71—412no—
281C2×C4×C71—224no—
282C2×C4×C71—26no—
283C2×C4×C71—224no—
284C2×C4×C71—23no—
285C2×C4×C71—23no—
286C2×C4×C71—23no—
287C2×C4×C71—23no—
288C2×C4×C71—26no—
289C2×C4×C71—23no—
290C2×C4×C71—44no—
291C2×C4×C71C22×D416yes—
292C2×C4×C71C22×D416yes—
293C22⋊D71—412no—
294C22⋊D71—44no—
295C22⋊D71—412no—
296C22⋊D71—44no—
297C2×Dic71—224no—
298C2×Dic71—26no—
299C2×Dic71—224no—
300C2×Dic71—23no—
301C2×Dic71—23no—
302C2×Dic71—23no—
303C2×Dic71—23no—
304C2×Dic71—26no—
305C2×Dic71—23no—
306C2×Dic71C22×D416yes—
307C2×Dic71C22×D416yes—
308D284—44no—
309D284—412no—
310C4×D71—248no—
311C4×D71—224no—
312C4×D71—224no—
313C4×D71—224no—
314C4×D71—44no—
315C4×D71#120116yescomplemented
316Dic142—44no—
317C22×C71—232no—
318C22×C71—26no—
319C22×C71—26no—
320C22×C71—212no—
321C22×C71—212no—
322C22×C71—41no—
323C22×C71—43no—
324C22×C71—43no—
325C22×C71#525112yescomplemented
326C22×C71C23×D413yes—
327C22×C71C22×#4113yes—
328C22×C71C22×#4111yescharacteristic
329C2×D71—296no—
330C2×D71—296no—
331C2×D71—26no—
332C2×D71—26no—
333C2×D71—26no—
334C2×D71—26no—
335C2×D71—212no—
336C2×D71—212no—
337C2×D71—41no—
338C2×D71—43no—
339C2×D71—43no—
340C2×D71C2×#12014yes—
341C2×D71#525112yescomplemented
342C4×C71—26no—
343C4×C71—41no—
344C4×C71—43no—
345C4×C71—43no—
346C4×C71C2×#12014yes—
347Dic71—26no—
348Dic71—41no—
349Dic71—43no—
350Dic71—43no—
351Dic71C2×#12014yes—
352#36614—711nomaximal, Sylow
353C2×C71—212no—
354C2×C71—81no—
355C2×C71C22×#12011yescharacteristic
356C2×C71C2×#52513yes—
357C2×C71C2×#52513yes—
358D71—24no—
359D71—212no—
360D71—81no—
361C25×C4—711no—
362C2×#525—713no—
363#2849—713no—
364#2849—713no—
365#2848—713no—
366#2848—711no—
367#2847—713no—
368#2847—711no—
369#2846—711no—
370#2846—711no—
371C4×#120—713no—
372C4×#120—711no—
373C4×#120—713no—
374C4×#120D7111yescharacteristic, complemented
375#2280—713no—
376C71#3661411yescharacteristic, complemented, Sylow
377C26—711no—
378C22×#41—711no—
379C24×C4—713no—
380C24×C4—711no—
381C24×C4—713no—
382C24×C4—713no—
383C24×C4—713no—
384C24×C4—14224no—
385C24×C4C2×D7111yescharacteristic
386#525—14224no—
387C2×#123—713no—
388C2×#123—713no—
389C2×C22⋊Q8—713no—
390C2×C22⋊Q8—713no—
391C2×#121—713no—
392C2×#121—713no—
393C2×#120—711no—
394C2×#120—713no—
395C2×#120—713no—
396C2×#120—713no—
397C2×#120—713no—
398C2×#120C2×D7111yescharacteristic
399C2×C4×D4—713no—
400C2×C4×D4—713no—
401C2×C4×D4—713no—
402C2×C4×D4C2×D7113yescomplemented
403C2×#117—713no—
404#386—713no—
405#386—713no—
406#386—713no—
407#386—716no—
408#386—716no—
409#386C2×D7113yescomplemented
410#385—713no—
411#385—716no—
412#385—713no—
413#385—713no—
414#385—716no—
415#385C2×D7113yescomplemented
416#381—716no—
417#380—713no—
418#380—713no—
419#380—716no—
420#379—711no—
421#379—713no—
422#379—713no—
423#379—713no—
424#379—713no—
425#379C2×D7111yescharacteristic
426C4×C22⋊C4—713no—
427C4×C22⋊C4—716no—
428C4×C22⋊C4C2×D7113yescomplemented
429C25—713no—
430C25—713no—
431C25—14212no—
432C25—14212no—
433C25—1424no—
434C25C22×D7111yescharacteristic
435C2×#41—14212no—
436C22×Q8—711no—
437C22×D4—713no—
438C22×D4—713no—
439C22×D4—711no—
440C22×D4—711no—
441C22×D4—713no—
442C22×D4—711no—
443C22×D4C22×D7113yes—
444C23×C4—212no—
445C23×C4—711no—
446C23×C4—713no—
447C23×C4—7124no—
448C23×C4—713no—
449C23×C4—713no—
450C23×C4—713no—
451C23×C4—713no—
452C23×C4—716no—
453C23×C4—711no—
454C23×C4—14212no—
455C23×C4—14224no—
456C23×C4—14224no—
457C23×C4—14224no—
458C23×C4—14224no—
459C23×C4—14212no—
460C23×C4—142128no—
461C23×C4—14212no—
462C23×C4—14212no—
463C23×C4C22×D7113yes—
464C23×C4C22×D7113yes—
465C23×C4C22×D7111yescharacteristic, complemented
466#123—14212no—
467#123—14212no—
468C22⋊Q8—14212no—
469C22⋊Q8—14212no—
470#121—14212no—
471#121—14212no—
472#120—24no—
473#120—14212no—
474#120—14212no—
475#120—14212no—
476#120—14212no—
477#120—1424no—
478C4×D4—212no—
479C4×D4—14212no—
480C4×D4—14212no—
481C4×D4—14212no—
482#117—14212no—
483C2×C4⋊C4—713no—
484C2×C4⋊C4—713no—
485C2×C4⋊C4—713no—
486C2×C4⋊C4—713no—
487C2×C4⋊C4—713no—
488C2×C4⋊C4C22×D7113yescomplemented
489C2×C22⋊C4—713no—
490C2×C22⋊C4—713no—
491C2×C22⋊C4—713no—
492C2×C22⋊C4—713no—
493C2×C22⋊C4—713no—
494C2×C22⋊C4—713no—
495C2×C22⋊C4—713no—
496C2×C22⋊C4—713no—
497C2×C22⋊C4—713no—
498C2×C22⋊C4—713no—
499C2×C22⋊C4—716no—
500C2×C22⋊C4—716no—
501C2×C22⋊C4C22×D7113yes—
502C2×C22⋊C4C22×D7113yes—
503C2×C22⋊C4C22×D7113yes—
504C2×C22⋊C4C22×D7113yescomplemented
505C2×C42—713no—
506C2×C42C22×D7113yescomplemented
507#95—716no—
508#95—716no—
509#95—716no—
510#95C22×D7116yescomplemented
511C24—26no—
512C24—26no—
513C24—711no—
514C24—713no—
515C24—7112no—
516C24—7112no—
517C24—711no—
518C24—14212no—
519C24—14212no—
520C24—14212no—
521C24—14212no—
522C24—14232no—
523C24—14296no—
524C24—14296no—
525C24—1426no—
526C24—1426no—
527C24—1426no—
528C24—1426no—
529C24#1176586514yescomplemented
530C24C23×D7111yescharacteristic
531C24C23×D7113yes—
532#41—28416no—
533C2×Q8—1426no—
534C2×D4—26no—
535C2×D4—26no—
536C2×D4—26no—
537C2×D4—1426no—
538C2×D4—1426no—
539C2×D4—14212no—
540C2×D4—1426no—
541C2×D4—1426no—
542C2×D4—1426no—
543C2×D4—14212no—
544C2×D4—1426no—
545C2×D4—1426no—
546C2×D4—1426no—
547C22×C4—232no—
548C22×C4—26no—
549C22×C4—212no—
550C22×C4—212no—
551C22×C4—26no—
552C22×C4—711no—
553C22×C4—7112no—
554C22×C4—7112no—
555C22×C4—713no—
556C22×C4—7112no—
557C22×C4—7112no—
558C22×C4—7112no—
559C22×C4—713no—
560C22×C4—713no—
561C22×C4—711no—
562C22×C4—14212no—
563C22×C4—14212no—
564C22×C4—14296no—
565C22×C4—14212no—
566C22×C4—14212no—
567C22×C4—14296no—
568C22×C4—14296no—
569C22×C4—14296no—
570C22×C4—1426no—
571C22×C4—14212no—
572C22×C4—14212no—
573C22×C4—14232no—
574C22×C4—1426no—
575C22×C4—14212no—
576C22×C4—14212no—
577C22×C4D4×D71112yes—
578C22×C4C23×D7113yes—
579C22×C4C23×D7113yes—
580C22×C4C23×D7111yescharacteristic
581C22×C4C23×D7113yes—
582C22×C4C23×D7111yescharacteristic
583C4⋊C4—26no—
584C4⋊C4—1426no—
585C4⋊C4—1426no—
586C4⋊C4—1426no—
587C4⋊C4—1426no—
588C4⋊C4—1426no—
589C22⋊C4—26no—
590C22⋊C4—26no—
591C22⋊C4—26no—
592C22⋊C4—26no—
593C22⋊C4—1426no—
594C22⋊C4—1426no—
595C22⋊C4—1426no—
596C22⋊C4—1426no—
597C22⋊C4—1426no—
598C22⋊C4—14212no—
599C22⋊C4—14212no—
600C22⋊C4—1426no—
601C22⋊C4—1426no—
602C22⋊C4—1426no—
603C22⋊C4—1426no—
604C22⋊C4—1426no—
605C42—26no—
606C42—1426no—
607C23—28no—
608C23—224no—
609C23—26no—
610C23—26no—
611C23—224no—
612C23—23no—
613C23—23no—
614C23—21no—
615C23—716no—
616C23—716no—
617C23—7112no—
618C23—14224no—
619C23—14224no—
620C23—14248no—
621C23—14224no—
622C23—142256no—
623C23—14224no—
624C23—14248no—
625C23—14248no—
626C23—14248no—
627C23—1423no—
628C23—1423no—
629C23—1421no—
630C23—1426no—
631C23—1423no—
632C23—1423no—
633C23—1421no—
634C23—1423no—
635C23—14224no—
636C23—14224no—
637C23C2×D4×D7116yes—
638C23#41×D7116yes—
639C23C2×#1176586516yes—
640C23C24×D7111yescharacteristic
641Q8—2844no—
642D4—412no—
643D4—2844no—
644D4—28412no—
645D4—2844no—
646D4—28412no—
647D4—28412no—
648D4—2844no—
649C2×C4—224no—
650C2×C4—26no—
651C2×C4—224no—
652C2×C4—23no—
653C2×C4—23no—
654C2×C4—23no—
655C2×C4—26no—
656C2×C4—23no—
657C2×C4—23no—
658C2×C4—44no—
659C2×C4—2844no—
660C2×C4—716no—
661C2×C4—7116no—
662C2×C4—716no—
663C2×C4—14224no—
664C2×C4—14224no—
665C2×C4—14248no—
666C2×C4—1423no—
667C2×C4—1423no—
668C2×C4—1423no—
669C2×C4—1426no—
670C2×C4—1423no—
671C2×C4—1423no—
672C2×C4—14224no—
673C2×C4—14224no—
674C2×C4—1426no—
675C2×C4—14224no—
676C2×C4C2×D4×D7116yes—
677C2×C4C2×D4×D7116yes—
678C22—232no—
679C22—26no—
680C22—26no—
681C22—212no—
682C22—212no—
683C22—41no—
684C22—43no—
685C22—43no—
686C22—2841no—
687C22—2843no—
688C22—2843no—
689C22—714no—
690C22—7112no—
691C22—14296no—
692C22—14296no—
693C22—1426no—
694C22—1426no—
695C22—14212no—
696C22—1426no—
697C22—1426no—
698C22—14212no—
699C22#17986508112yescomplemented
700C22C22×D4×D7113yes—
701C22C2×#41×D7113yes—
702C22C22×#1176586511yescharacteristic
703C4—26no—
704C4—41no—
705C4—43no—
706C4—43no—
707C4—2841no—
708C4—2843no—
709C4—2843no—
710C4—714no—
711C4—1426no—
712C4#120×D7114yes—
713C2—212no—
714C2—81no—
715C2—5681no—
716C2—1424no—
717C2—14212no—
718C2C2×#120×D7111yescharacteristic
719C2#525×D7113yes—
720C2C2×#1798650813yes—
subgroupG/H
centerC22×C4C23×D71
commutator, socle, cosocleC23×C71C25
FrattiniC23C24×D71
FittingC4×#120×C71C2
hypercenterC4×#120D71
hypocenterC71#36614
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ C4×#120

Complements

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

NH ≅ G/Ntype
1. C24×C4×D71C2semidirect
2. C2×#17986508C2semidirect
3. #22596635C2semidirect
4. #22596631C2semidirect
5. #22596626C2semidirect
6. #22596625C2semidirect
7. #22596621C2semidirect
8. #22596620C2semidirect
9. #22596618C2semidirect
10. #22596616C2semidirect
11. C4×#14556098C2semidirect
12. C4×#14556097C2semidirect
13. C4×#14556096C2semidirect
14. #22590721C2semidirect
15. C4×#120×C71C2semidirect
17. C22×#11765865C22semidirect
25. C2×#14556113C22semidirect
26. C2×#14556110C22semidirect
27. C2×#14556106C22semidirect
28. C2×#14556105C22semidirect
29. C2×#14556101C22semidirect
30. C2×#14556100C22semidirect
36. C2×C4×D284C22semidirect
37. C2×C4×C22⋊D71C22semidirect
38. C2×C4×C22⋊D71C22semidirect
39. C2×#14556085C22semidirect
40. #17985879C22semidirect
41. #17985878C22semidirect
42. #17985877C22semidirect
43. #17985876C22semidirect
44. #17985875C22semidirect
45. #17985874C22semidirect
46. #17985873C22semidirect
47. #17985872C22semidirect
48. #17985871C22semidirect
49. #17985870C22semidirect
50. #17985861C22semidirect
51. #17985858C22semidirect
52. #17985857C22semidirect
53. #17985857C22semidirect
59. C4×(C2×D71)⋊C4C22semidirect
60. C4×C22⋊Dic71C22semidirect
63. C2×C4×D4×C71C22semidirect
64. #386×C71C22semidirect
65. #385×C71C22semidirect
67. C4×C22⋊C4×C71C22semidirect
74. C22×Dic142C23semidirect
80. C22×C22⋊D71C23semidirect
92. C22×C4×D71D4semidirect
98. C22×C4×D71C23semidirect
114. C2×C4⋊Dic71C23semidirect
115. C2×Dic71⋊C4C23semidirect
116. C2×Dic71⋊C4C23semidirect
117. C2×Dic71⋊C4C23semidirect
118. C2×Dic71⋊C4C23semidirect
122. C2×C22⋊Dic71C23semidirect
129. C2×(C2×D71)⋊C4C23semidirect
130. C2×(C2×D71)⋊C4C23semidirect
131. C2×C4×Dic71C23semidirect
132. C71⋊#95C23semidirect
133. C71⋊#95C23semidirect
134. C71⋊#95C23semidirect
140. C23×C4×C71C23semidirect
143. C2×C4⋊C4×C71C23semidirect
147. C2×C22⋊C4×C71C23semidirect
148. C2×C42×C71C23semidirect
149. #95×C71C23semidirect
162. C23×D71#41semidirect
223. C24×C71#41semidirect
315. C4×D71#120semidirect
325. C22×C71#525semidirect
341. C2×D71#525semidirect
374. C4×#120D71semidirect
376. C71#36614semidirect
402. C2×C4×D4C2×D71semidirect
409. #386C2×D71semidirect
415. #385C2×D71semidirect
428. C4×C22⋊C4C2×D71semidirect
465. C23×C4C22×D71semidirect
488. C2×C4⋊C4C22×D71semidirect
504. C2×C22⋊C4C22×D71semidirect
506. C2×C42C22×D71semidirect
510. #95C22×D71semidirect
529. C24#11765865semidirect
699. C22#17986508semidirect

Maximal subgroups

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

subgroupindex
C24×C4×D712
C2×#179865082
#225966352
#225966312
#225966262
#225966252
#225966212
#225966202
#225966182
#225966162
C4×#145560982
C4×#145560972
C4×#145560962
#225907212
C4×#120×C712
#3661471