Finite Group Databasebeta

← #32015671

Subgroups — #32015671

Order 18176.

978 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986077C211yesmaximal, characteristic
2C2×#17986042C211yesmaximal, characteristic, complemented
3C2×#17986039C211yesmaximal, characteristic, complemented
4#22591269C211yesmaximal, characteristic
5#22589108C211yesmaximal, characteristic, complemented
6#22589106C211yesmaximal, characteristic, complemented
7#22588539C211yesmaximal, characteristic, complemented
8#22588537C211yesmaximal, characteristic, complemented
9#22588528C211yesmaximal, characteristic, complemented
10#22588527C211yesmaximal, characteristic, complemented
11#22588502C211yesmaximal, characteristic, complemented
12#22588371C211yesmaximal, characteristic, complemented
13#22588371C211yesmaximal, characteristic, complemented
14C4×#14556061C211yesmaximal, characteristic, complemented
15C71×#2352C211yesmaximal, characteristic
16C22×#11765849C2211yescharacteristic
17C22×#11765849C2211yescharacteristic
18C2×#14556087C2211yescharacteristic
19C22×C4⋊Dic71C2211yescharacteristic
20#17986077C418yescomplemented
21#17986042—24no—
22#17986039—24no—
23C2×#14556061C2211yescharacteristic
24C2×#14556061C2211yescharacteristic
25C2×#14556061C2211yescharacteristic
26C2×#14556061C2211yescharacteristic
27C2×#14556061C2211yescharacteristic
28C2×#14556061C2211yescharacteristic
29C2×#14556059C2211yescharacteristic
30C2×#14556059C2211yescharacteristic
31C2×#14556059C2211yescharacteristic
32C2×#14556059C2211yescharacteristic
33C2×C4⋊(C71⋊C8)C2211yescharacteristic
34C2×C22⋊(C71⋊C8)C2211yescharacteristic
35C2×C22⋊(C71⋊C8)C2211yescharacteristic
36C2×C4×C71⋊C8C2211yescharacteristic
37#17985892—21no—
38#17985885—21no—
39#17985879—21no—
40#17985865C2211yescharacteristic
41#17985859C2211yescharacteristic
42#17985859C2211yescharacteristic
43C4×C4⋊Dic71C2211yescharacteristic
44C22⋊C4×Dic71—21no—
45#17985761C2211yescharacteristic
46#17985761C2211yescharacteristic
47#17985761C2211yescharacteristic
48#17985761C2211yescharacteristic
49#17985761C2211yescharacteristic
50#17985761C2211yescharacteristic
51C2×C4×D4×C71C2211yescharacteristic
52C2×#117×C71C2211yescharacteristic
53C22×C4⋊C4×C71C2211yescharacteristic
54#388×C71—21no—
55#387×C71—21no—
56#386×C71—21no—
57#382×C71C2211yescharacteristic
58#380×C71C2211yescharacteristic
59#380×C71C2211yescharacteristic
60C4×C4⋊C4×C71C2211yescharacteristic
61C4×C22⋊C4×C71—21no—
62C23×Dic71—21no—
63C2×#11765849—22no—
64C2×#11765849—22no—
65C2×#11765849—22no—
66C2×#11765849—22no—
67C2×#11765849C2×C414yescomplemented
68C2×#11765849C2×C414yescomplemented
69C22×C71⋊C8C2311yescharacteristic
70C22×C71⋊C8C2311yescharacteristic
71C22×C71⋊C8C2311yescharacteristic
72C22×C71⋊C8C2311yescharacteristic
73#14556087—22no—
74#14556087—41no—
75C2×C4⋊Dic71—22no—
76C2×C4⋊Dic71—21no—
77C2×C4⋊Dic71—41no—
78C2×C4⋊Dic71C2311yescharacteristic
79C2×C4⋊Dic71C2311yescharacteristic
80C2×C4⋊Dic71C2311yescharacteristic
81C2×C4⋊Dic71C2311yescharacteristic
82C2×C22⋊Dic71—21no—
83C2×C22⋊Dic71—21no—
84C2×C22⋊Dic71—21no—
85C2×C4×Dic71—21no—
86C2×C4×Dic71—21no—
87#14556061—22no—
88#14556061—22no—
89#14556061—22no—
90#14556061—41no—
91#14556061—41no—
92#14556061D414yescomplemented
93#14556059—22no—
94#14556059—22no—
95#14556059—22no—
96#14556059—22no—
97C4⋊(C71⋊C8)C2×C414yescomplemented
98C22⋊(C71⋊C8)C2×C414yescomplemented
99C22⋊(C71⋊C8)C2×C414yescomplemented
100C4×C71⋊C8C2×C414yescomplemented
101C71⋊#95—21no—
102C71⋊#95—21no—
103C71⋊#95—21no—
104C71⋊#95—21no—
105C71⋊#95—21no—
106C22×D4×C71D411yescharacteristic
107C23×C4×C71—21no—
108C23×C4×C71C2311yescharacteristic
109C23×C4×C71C2311yescharacteristic
110C4×D4×C71C2×C414yes—
111C4×D4×C71Q814yes—
112#117×C71—22no—
113#117×C71—41no—
114C2×C4⋊C4×C71—22no—
115C2×C4⋊C4×C71—21no—
116C2×C4⋊C4×C71—41no—
117C2×C4⋊C4×C71D411yescharacteristic
118C2×C4⋊C4×C71C2311yescharacteristic
119C2×C4⋊C4×C71C2311yescharacteristic
120C2×C4⋊C4×C71C2311yescharacteristic
121C2×C4⋊C4×C71C2311yescharacteristic
122C2×C22⋊C4×C71—21no—
123C2×C22⋊C4×C71—21no—
124C2×C22⋊C4×C71—21no—
125C2×C22⋊C4×C71D411yescharacteristic
126C2×C22⋊C4×C71D411yescharacteristic
127C2×C42×C71—21no—
128C2×C42×C71—21no—
129C2×C42×C71C2311yescharacteristic
130#95×C71—21no—
131#95×C71—21no—
132#95×C71—21no—
133#95×C71—21no—
134#95×C71—21no—
135C22×Dic71—21no—
136C22×Dic71—21no—
137C22×Dic71—21no—
138C22×Dic71—21no—
139C22×Dic71—42no—
140C22×Dic71—42no—
141C22×Dic71—81no—
142#11765849—28no—
143#11765849—28no—
144C2×C71⋊C8—21no—
145C2×C71⋊C8—21no—
146C2×C71⋊C8—21no—
147C2×C71⋊C8—21no—
148C2×C71⋊C8—21no—
149C2×C71⋊C8—21no—
150C2×C71⋊C8C22×C412yes—
151C2×C71⋊C8C22×C412yes—
152C2×C71⋊C8C22×C412yes—
153C2×C71⋊C8C22×C412yes—
154C2×C71⋊C8C2×D412yes—
155C2×C71⋊C8#4112yes—
156C4⋊Dic71—21no—
157C4⋊Dic71—21no—
158C4⋊Dic71—21no—
159C4⋊Dic71—21no—
160C4⋊Dic71—21no—
161C4⋊Dic71—21no—
162C4⋊Dic71—21no—
163C4⋊Dic71—42no—
164C4⋊Dic71C2×D412yes—
165C22⋊Dic71—42no—
166C22⋊Dic71—42no—
167C22⋊Dic71—81no—
168C4×Dic71—42no—
169C4×Dic71—81no—
170C24×C71C2×D411yescharacteristic
171C24×C71C2×D411yescharacteristic
172C2×D4×C71—41no—
173C2×D4×C71—41no—
174C2×D4×C71C4⋊C414yes—
175C22×C4×C71—21no—
176C22×C4×C71—21no—
177C22×C4×C71—21no—
178C22×C4×C71—21no—
179C22×C4×C71—21no—
180C22×C4×C71—21no—
181C22×C4×C71—21no—
182C22×C4×C71—21no—
183C22×C4×C71—21no—
184C22×C4×C71—21no—
185C22×C4×C71—21no—
186C22×C4×C71—21no—
187C22×C4×C71—42no—
188C22×C4×C71—42no—
189C22×C4×C71—81no—
190C22×C4×C71C22×C412yes—
191C22×C4×C71C22×C412yes—
192C22×C4×C71C2×D411yescharacteristic
193C22×C4×C71C2×D411yescharacteristic
194C22×C4×C71C2×D411yescharacteristic
195C22×C4×C71C2×D411yescharacteristic
196C22×C4×C71C2×Q812yes—
197C22×C4×C71C2×Q812yes—
198C22×C4×C71C2411yescharacteristic
199C4⋊C4×C71—21no—
200C4⋊C4×C71—21no—
201C4⋊C4×C71—21no—
202C4⋊C4×C71—21no—
203C4⋊C4×C71—21no—
204C4⋊C4×C71—21no—
205C4⋊C4×C71—21no—
206C4⋊C4×C71—42no—
207C4⋊C4×C71C4⋊C414yes—
208C4⋊C4×C71C2×D412yes—
209C22⋊C4×C71—42no—
210C22⋊C4×C71—42no—
211C22⋊C4×C71—81no—
212C22⋊C4×C71C4⋊C414yes—
213C22⋊C4×C71C4⋊C414yes—
214C42×C71—42no—
215C42×C71—81no—
216C42×C71C22×C412yes—
217C42×C71C2×Q812yes—
218C23×C71—21no—
219C23×C71—21no—
220C23×C71—21no—
221C23×C71—21no—
222C23×C71—21no—
223C23×C71—21no—
224C23×C71—21no—
225C23×C71—21no—
226C23×C71—21no—
227C23×C71—21no—
228C23×C71—21no—
229C23×C71—21no—
230C23×C71C2×C4⋊C412yes—
231C23×C71C2×C4⋊C412yes—
232C23×C71C22×D411yescharacteristic
233D4×C71—44no—
234C2×C4×C71—21no—
235C2×C4×C71—21no—
236C2×C4×C71—21no—
237C2×C4×C71—21no—
238C2×C4×C71—21no—
239C2×C4×C71—21no—
240C2×C4×C71—21no—
241C2×C4×C71—21no—
242C2×C4×C71—22no—
243C2×C4×C71—22no—
244C2×C4×C71—22no—
245C2×C4×C71—22no—
246C2×C4×C71—22no—
247C2×C4×C71—22no—
248C2×C4×C71—22no—
249C2×C4×C71—22no—
250C2×C4×C71—22no—
251C2×C4×C71—41no—
252C2×C4×C71—41no—
253C2×C4×C71—41no—
254C2×C4×C71—41no—
255C2×C4×C71—41no—
256C2×C4×C71—41no—
257C2×C4×C71—41no—
258C2×C4×C71—41no—
259C2×C4×C71—41no—
260C2×C4×C71—41no—
261C2×C4×C71—41no—
262C2×C4×C71—84no—
263C2×C4×C71C2×C4⋊C412yes—
264C2×C4×C71C2×C4⋊C412yes—
265C2×C4×C71C2×C4⋊C412yes—
266C2×C4×C71C2×C4⋊C412yes—
267C2×C4×C71C23×C411yescharacteristic
268C2×C4×C71C22×D411yescharacteristic
269C2×C4×C71C22×Q811yescharacteristic
270C2×C4×C71C2×#4111yescharacteristic
271C2×C4×C71H(5,𝔽2)11yescharacteristic
272C2×C4×C712−1+411yescharacteristic
273C2×Dic71—22no—
274C2×Dic71—41no—
275C2×Dic71—41no—
276C2×Dic71—41no—
277C2×Dic71—41no—
278C2×Dic71—41no—
279C2×Dic71—41no—
280C2×Dic71—41no—
281C2×Dic71—41no—
282C2×Dic71—41no—
283C2×Dic71—41no—
284C2×Dic71—41no—
285C2×Dic71—84no—
286C71⋊C8—22no—
287C71⋊C8—22no—
288C71⋊C8—22no—
289C71⋊C8C4×D414yes—
290C22×C71—22no—
291C22×C71—22no—
292C22×C71—22no—
293C22×C71—22no—
294C22×C71—22no—
295C22×C71—22no—
296C22×C71—41no—
297C22×C71—41no—
298C22×C71—41no—
299C22×C71—41no—
300C22×C71—41no—
301C22×C71—41no—
302C22×C71—41no—
303C22×C71—41no—
304C22×C71C22×C4⋊C411yescharacteristic
305C22×C71D4211yescharacteristic
306C22×C71#54711yescharacteristic
307C22×C71#57511yescharacteristic
308C22×C71#57511yescharacteristic
309C22×C71#57611yescharacteristic
310C22×C71#57811yescharacteristic
311C4×C71—22no—
312C4×C71—22no—
313C4×C71—22no—
314C4×C71—22no—
315C4×C71—42no—
316C4×C71—81no—
317C4×C71—81no—
318C4×C71—81no—
319C4×C71C2×C4×D411yescharacteristic
320C4×C71#52011yescharacteristic
321C4×C71D4×Q811yescharacteristic
322C4×C71#55411yescharacteristic
323Dic71—42no—
324Dic71—81no—
325Dic71—81no—
326Dic71—81no—
327#22664—711nomaximal, Sylow
328C2×C71—42no—
329C2×C71—42no—
330C2×C71D4×C4⋊C411yescharacteristic
331C2×C71#291111yescharacteristic
332C2×C71#291311yescharacteristic
333C2×C71#327311yescharacteristic
334C2×C71#327711yescharacteristic
335C2×C71#335211yescharacteristic
336C2×C71#335511yescharacteristic
337C2×#436—711no—
338C2×#428—711no—
339C2×#428—711no—
340#2352—711no—
341#2352D7111yescharacteristic
342#1949—711no—
343#1949—711no—
344#1854—711no—
345#1854—711no—
346#1852—711no—
347#1852—711no—
348#1846—711no—
349#1809—711no—
350#1809—711no—
351C4×#107—711no—
352C71#2266411yescharacteristic, complemented, Sylow
353C22×M16—711no—
354C22×M16—711no—
355C2×C4×D4C2×D7111yescharacteristic
356C2×#117—711no—
357C2×#117C2×D7111yescharacteristic
358C22×C4⋊C4—711no—
359C22×C4⋊C4C2×D7111yescharacteristic
360#436—718no—
361#428—1424no—
362#428—1424no—
363C2×#107—711no—
364C2×#107—711no—
365C2×#107—711no—
366C2×#107—711no—
367C2×#107—711no—
368C2×#107—711no—
369C2×#106—711no—
370C2×#106—711no—
371C2×#106—711no—
372C2×#106—711no—
373C2×C4⋊C8—711no—
374C2×C22⋊C8—711no—
375C2×C22⋊C8—711no—
376C2×C4×C8—711no—
377#388—21no—
378#388—1421no—
379#387—21no—
380#387—1421no—
381#386—21no—
382#386—1421no—
383#382—711no—
384#382C2×D7111yescharacteristic
385#380—711no—
386#380—711no—
387#380C2×D7111yescharacteristic
388#380C2×D7111yescharacteristic
389C4×C4⋊C4—711no—
390C4×C4⋊C4C2×D7111yescharacteristic
391C4×C22⋊C4—21no—
392C4×C22⋊C4—1421no—
393#340—711no—
394#340—711no—
395#340—711no—
396#340—711no—
397#340—711no—
398#340—711no—
399C22×D4C22⋊D7111yescharacteristic
400C23×C4—21no—
401C23×C4—1421no—
402C23×C4C22×D7111yescharacteristic
403C23×C4C22×D7111yescharacteristic
404C2×M16—714no—
405C2×M16—714no—
406C2×M16—1422no—
407C2×M16—1422no—
408C2×M16—1422no—
409C2×M16—1422no—
410C22×C8—711no—
411C22×C8—711no—
412C22×C8—711no—
413C22×C8—711no—
414C4×D4Dic14214yes—
415C4×D4C4×D7114yes—
416#117—22no—
417#117—41no—
418#117—2841no—
419#117—1422no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—41no—
423C2×C4⋊C4—2841no—
424C2×C4⋊C4—711no—
425C2×C4⋊C4—711no—
426C2×C4⋊C4—711no—
427C2×C4⋊C4—711no—
428C2×C4⋊C4—1421no—
429C2×C4⋊C4—1422no—
430C2×C4⋊C4C22⋊D7111yescharacteristic
431C2×C4⋊C4C22×D7111yescharacteristic
432C2×C4⋊C4C22×D7111yescharacteristic
433C2×C4⋊C4C22×D7111yescharacteristic
434C2×C4⋊C4C22×D7111yescharacteristic
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—1421no—
439C2×C22⋊C4—1421no—
440C2×C22⋊C4—1421no—
441C2×C22⋊C4C22⋊D7111yescharacteristic
442C2×C22⋊C4C22⋊D7111yescharacteristic
443C2×C42—21no—
444C2×C42—21no—
445C2×C42—1421no—
446C2×C42—1421no—
447C2×C42C22×D7111yescharacteristic
448#107—2841no—
449#107—2841no—
450#107—714no—
451#107—1422no—
452#107—1422no—
453#107—1422no—
454#106—1422no—
455#106—1422no—
456#106—1422no—
457#106—1422no—
458C4⋊C8—714no—
459C22⋊C8—714no—
460C22⋊C8—714no—
461C4×C8—714no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—1421no—
468#95—1421no—
469#95—1421no—
470#95—1421no—
471#95—1421no—
472C24C2×C22⋊D7111yescharacteristic
473C24C2×C22⋊D7111yescharacteristic
474C2×D4—41no—
475C2×D4—41no—
476C2×D4Dic71⋊C414yes—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—81no—
492C22×C4—2842no—
493C22×C4—2842no—
494C22×C4—5681no—
495C22×C4—1421no—
496C22×C4—1421no—
497C22×C4—1421no—
498C22×C4—1421no—
499C22×C4C2×C4×D7112yes—
500C22×C4C2×C4×D7112yes—
501C22×C4C2×C22⋊D7111yescharacteristic
502C22×C4C2×C22⋊D7111yescharacteristic
503C22×C4C2×C22⋊D7111yescharacteristic
504C22×C4C2×C22⋊D7111yescharacteristic
505C22×C4C2×Dic14212yes—
506C22×C4C2×Dic14212yes—
507C22×C4C23×D7111yescharacteristic
508M16—1428no—
509M16—1428no—
510C2×C8—712no—
511C2×C8—712no—
512C2×C8—712no—
513C2×C8—712no—
514C2×C8—712no—
515C2×C8—712no—
516C2×C8—1421no—
517C2×C8—1421no—
518C2×C8—1421no—
519C2×C8—1421no—
520C2×C8—1421no—
521C2×C8—1421no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—42no—
530C4⋊C4—2842no—
531C4⋊C4—712no—
532C4⋊C4—1421no—
533C4⋊C4—1421no—
534C4⋊C4—1421no—
535C4⋊C4—1421no—
536C4⋊C4—1421no—
537C4⋊C4—1421no—
538C4⋊C4—1421no—
539C4⋊C4Dic71⋊C414yes—
540C4⋊C4D4×D7112yes—
541C22⋊C4—42no—
542C22⋊C4—42no—
543C22⋊C4—81no—
544C22⋊C4—2842no—
545C22⋊C4—2842no—
546C22⋊C4—5681no—
547C22⋊C4Dic71⋊C414yes—
548C22⋊C4Dic71⋊C414yes—
549C42—42no—
550C42—81no—
551C42—2842no—
552C42—5681no—
553C42C2×C4×D7112yes—
554C42C2×Dic14212yes—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23C2×Dic71⋊C412yes—
568C23C2×Dic71⋊C412yes—
569C23C22×C22⋊D7111yescharacteristic
570D4—44no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—84no—
600C2×C4—2841no—
601C2×C4—2841no—
602C2×C4—2841no—
603C2×C4—2841no—
604C2×C4—2841no—
605C2×C4—2841no—
606C2×C4—2841no—
607C2×C4—2841no—
608C2×C4—2841no—
609C2×C4—2841no—
610C2×C4—2841no—
611C2×C4—5684no—
612C2×C4—1422no—
613C2×C4C2×Dic71⋊C412yes—
614C2×C4C2×Dic71⋊C412yes—
615C2×C4C2×Dic71⋊C412yes—
616C2×C4C2×Dic71⋊C412yes—
617C2×C4C22×C4×D7111yescharacteristic
618C2×C4C2×D4×D7111yescharacteristic
619C2×C4C22×Dic14211yescharacteristic
620C2×C4#41×D7111yescharacteristic
621C2×C4#1455617311yescharacteristic
622C2×C4#1455617511yescharacteristic
623C8—714no—
624C8—1422no—
625C8—1422no—
626C8—1422no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22C22×Dic71⋊C411yescharacteristic
642C22D4×C22⋊D7111yescharacteristic
643C22#1798664811yescharacteristic
644C22#1798679711yescharacteristic
645C22#1798679711yescharacteristic
646C22#1798680211yescharacteristic
647C22#1798681411yescharacteristic
648C4—22no—
649C4—22no—
650C4—22no—
651C4—22no—
652C4—42no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4—2842no—
657C4—5681no—
658C4—5681no—
659C4—5681no—
660C4C4×D4×D7111yescharacteristic
661C4#1798647811yescharacteristic
662C4D4×Dic14211yescharacteristic
663C4#1798670811yescharacteristic
664C2—42no—
665C2—42no—
666C2D4×Dic71⋊C411yescharacteristic
667C2#2259692911yescharacteristic
668C2#2259693811yescharacteristic
669C2#2259994711yescharacteristic
670C2#2259999311yescharacteristic
671C2#2260090911yescharacteristic
672C2#2260094011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D71
commutatorC2×C4×C71C23×C4
FrattiniC22×C4C23×D71
FittingC71×#2352C2
socleC23×C71C22×D4
prime radicalC22×D4×C71D4
cosocleC22×C4×C71C24
hypercenter#2352D71
hypocenterC71#22664
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2352

Complements

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

NH ≅ G/Ntype
2. C2×#17986042C2semidirect
3. C2×#17986039C2semidirect
5. #22589108C2semidirect
6. #22589106C2semidirect
7. #22588539C2semidirect
8. #22588537C2semidirect
9. #22588528C2semidirect
10. #22588527C2semidirect
11. #22588502C2semidirect
12. #22588371C2semidirect
13. #22588371C2semidirect
14. C4×#14556061C2semidirect
20. #17986077C4semidirect
67. C2×#11765849C2×C4semidirect
68. C2×#11765849C2×C4semidirect
92. #14556061D4semidirect
97. C4⋊(C71⋊C8)C2×C4semidirect
98. C22⋊(C71⋊C8)C2×C4semidirect
99. C22⋊(C71⋊C8)C2×C4semidirect
100. C4×C71⋊C8C2×C4semidirect
352. C71#22664semidirect

Maximal subgroups

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

subgroupindex
C2×#179860772
C2×#179860422
C2×#179860392
#225912692
#225891082
#225891062
#225885392
#225885372
#225885282
#225885272
#225885022
#225883712
C4×#145560612
C71×#23522
#2266471