Finite Group Databasebeta

← #32016122

Subgroups — #32016122

Order 18176.

970 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
1#22591269C211yesmaximal, characteristic
2D4×C4⋊Dic71C211yesmaximal, characteristic
3#22589110C211yesmaximal, characteristic, complemented
4#22589099C211yesmaximal, characteristic, complemented
5#22588541C211yesmaximal, characteristic, complemented
6#22588535C211yesmaximal, characteristic, complemented
7#22588530C211yesmaximal, characteristic, complemented
8#22588530C211yesmaximal, characteristic, complemented
9#22588474C211yesmaximal, characteristic, complemented
10#22588373C211yesmaximal, characteristic, complemented
11#22588369C211yesmaximal, characteristic, complemented
12#22588237C211yesmaximal, characteristic, complemented
13#22588060C211yesmaximal, characteristic, complemented
14C2×#17985762C211yesmaximal, characteristic, complemented
15C2×#435×C71C211yesmaximal, characteristic
16C2×D4×Dic71—21no—
17C2×#14556087C2211yescharacteristic
18C22×C4⋊Dic71C2211yescharacteristic
19C22×C4⋊Dic71C2211yescharacteristic
20C22×C4⋊Dic71C2211yescharacteristic
21C2×#14556062C2211yescharacteristic
22C2×#14556062C2211yescharacteristic
23C2×#14556062C2211yescharacteristic
24C2×#14556062C2211yescharacteristic
25C2×#14556060C2211yescharacteristic
26C2×#14556060C2211yescharacteristic
27#17985898—21no—
28#17985892—21no—
29#17985885—21no—
30#17985879—21no—
31#17985874—21no—
32#17985874—21no—
33#17985869C2211yescharacteristic
34#17985865C2211yescharacteristic
35#17985859C2211yescharacteristic
36#17985859C2211yescharacteristic
37#17985859C2211yescharacteristic
38#17985859C2211yescharacteristic
39C4×C4⋊Dic71C2211yescharacteristic
40C4×C4⋊Dic71C2211yescharacteristic
41C22⋊C4×Dic71—21no—
42#17985762C2211yescharacteristic
43#17985762C2211yescharacteristic
44#17985762C2211yescharacteristic
45#17985762C2211yescharacteristic
46#17985762C2211yescharacteristic
47#17985762C2211yescharacteristic
48#17985762C2211yescharacteristic
49#17985762C2211yescharacteristic
50#17985762C2211yescharacteristic
51#17985762C2211yescharacteristic
52C22×M16×C71C2211yescharacteristic
53C23×C8×C71C2211yescharacteristic
54C2×C4×D4×C71C2211yescharacteristic
55#435×C71C418yescomplemented
56C2×C4⋊C8×C71C2211yescharacteristic
57C2×C22⋊C8×C71C2211yescharacteristic
58C2×C22⋊C8×C71C2211yescharacteristic
59C2×#97×C71C2211yescharacteristic
60C23×Dic71—21no—
61C23×Dic71—21no—
62C23×Dic71—21no—
63D4×Dic71—44no—
64#14556087—22no—
65#14556087—41no—
66C2×C4⋊Dic71—22no—
67C2×C4⋊Dic71—22no—
68C2×C4⋊Dic71—22no—
69C2×C4⋊Dic71—21no—
70C2×C4⋊Dic71—21no—
71C2×C4⋊Dic71—21no—
72C2×C4⋊Dic71—21no—
73C2×C4⋊Dic71—21no—
74C2×C4⋊Dic71—41no—
75C2×C4⋊Dic71—41no—
76C2×C4⋊Dic71—41no—
77C2×C4⋊Dic71C2311yescharacteristic
78C2×C4⋊Dic71C2311yescharacteristic
79C2×C4⋊Dic71C2311yescharacteristic
80C2×C4⋊Dic71C2311yescharacteristic
81C2×C4⋊Dic71C2311yescharacteristic
82C2×C4⋊Dic71C2311yescharacteristic
83C2×C4⋊Dic71C2311yescharacteristic
84C2×C4⋊Dic71C2311yescharacteristic
85C2×C22⋊Dic71—21no—
86C2×C22⋊Dic71—21no—
87C2×C22⋊Dic71—21no—
88C2×C22⋊Dic71—21no—
89C2×C22⋊Dic71—21no—
90C2×C4×Dic71—21no—
91C2×C4×Dic71—21no—
92C2×C4×Dic71—21no—
93#14556062—22no—
94#14556062—41no—
95#14556062—41no—
96#14556062—41no—
97#14556060—22no—
98#14556060—41no—
99C71⋊#95—21no—
100C71⋊#95—21no—
101C71⋊#95—21no—
102C71⋊#95—21no—
103C71⋊#95—21no—
104C71⋊#95—21no—
105C71⋊#95—21no—
106C71⋊#95—21no—
107C22×D4×C71D411yescharacteristic
108C23×C4×C71C2311yescharacteristic
109C23×C4×C71C2311yescharacteristic
110C2×M16×C71—41no—
111C2×M16×C71—41no—
112C2×M16×C71C2×C414yescomplemented
113C22×C8×C71—41no—
114C22×C8×C71—41no—
115C22×C8×C71C2×C414yescomplemented
116C22×C8×C71C2311yescharacteristic
117C22×C8×C71C2311yescharacteristic
118C22×C8×C71C2311yescharacteristic
119C22×C8×C71C2311yescharacteristic
120C4×D4×C71C2×C414yes—
121C4×D4×C71Q814yes—
122C2×C4⋊C4×C71D411yescharacteristic
123C2×C22⋊C4×C71D411yescharacteristic
124C2×C22⋊C4×C71D411yescharacteristic
125C2×C42×C71C2311yescharacteristic
126C4⋊C8×C71C2×C414yescomplemented
127C22⋊C8×C71C2×C414yescomplemented
128C22⋊C8×C71C2×C414yescomplemented
129#97×C71C2×C414yescomplemented
130C22×Dic71—21no—
131C22×Dic71—21no—
132C22×Dic71—21no—
133C22×Dic71—21no—
134C22×Dic71—21no—
135C22×Dic71—21no—
136C22×Dic71—21no—
137C22×Dic71—21no—
138C22×Dic71—42no—
139C22×Dic71—42no—
140C22×Dic71—42no—
141C22×Dic71—42no—
142C22×Dic71—42no—
143C22×Dic71—42no—
144C22×Dic71—81no—
145C22×Dic71—81no—
146C22×Dic71—81no—
147C4⋊Dic71—21no—
148C4⋊Dic71—21no—
149C4⋊Dic71—21no—
150C4⋊Dic71—21no—
151C4⋊Dic71—21no—
152C4⋊Dic71—21no—
153C4⋊Dic71—21no—
154C4⋊Dic71—21no—
155C4⋊Dic71—21no—
156C4⋊Dic71—21no—
157C4⋊Dic71—21no—
158C4⋊Dic71—21no—
159C4⋊Dic71—21no—
160C4⋊Dic71—21no—
161C4⋊Dic71—42no—
162C4⋊Dic71—42no—
163C4⋊Dic71—42no—
164C4⋊Dic71—42no—
165C4⋊Dic71—81no—
166C4⋊Dic71#4112yes—
167C4⋊Dic71#4112yes—
168C22⋊Dic71—42no—
169C22⋊Dic71—42no—
170C22⋊Dic71—42no—
171C22⋊Dic71—42no—
172C22⋊Dic71—81no—
173C4×Dic71—42no—
174C4×Dic71—42no—
175C4×Dic71—81no—
176C24×C71C2×D411yescharacteristic
177C24×C71C2×D411yescharacteristic
178C2×D4×C71—22no—
179C2×D4×C71—22no—
180C2×D4×C71C4⋊C414yes—
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—21no—
188C22×C4×C71—21no—
189C22×C4×C71C22×C412yes—
190C22×C4×C71C22×C412yes—
191C22×C4×C71C2×D411yescharacteristic
192C22×C4×C71C2×D411yescharacteristic
193C22×C4×C71C2×D411yescharacteristic
194C22×C4×C71C2×D411yescharacteristic
195C22×C4×C71C2×Q812yes—
196C22×C4×C71C2×Q812yes—
197C22×C4×C71C2411yescharacteristic
198M16×C71—44no—
199C2×C8×C71—21no—
200C2×C8×C71—21no—
201C2×C8×C71—21no—
202C2×C8×C71—21no—
203C2×C8×C71—21no—
204C2×C8×C71—21no—
205C2×C8×C71—21no—
206C2×C8×C71—21no—
207C2×C8×C71—44no—
208C2×C8×C71C22×C412yes—
209C2×C8×C71C22×C412yes—
210C2×C8×C71C22×C412yes—
211C2×C8×C71C22×C412yes—
212C4⋊C4×C71C4⋊C414yes—
213C22⋊C4×C71C4⋊C414yes—
214C22⋊C4×C71C4⋊C414yes—
215C42×C71C22×C412yes—
216C42×C71C2×Q812yes—
217C23×C71—21no—
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×C71C2×C4⋊C412yes—
228C23×C71C2×C4⋊C412yes—
229C23×C71AGL(1,ℤ/8)12yes—
230C23×C71#13712yes—
231C23×C71C22×D411yescharacteristic
232D4×C71—28no—
233C2×C4×C71—21no—
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—22no—
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×C71C2×C4⋊C412yes—
250C2×C4×C71C2×C4⋊C412yes—
251C2×C4×C71C2×C4⋊C412yes—
252C2×C4×C71C2×C4⋊C412yes—
253C2×C4×C71C23×C411yescharacteristic
254C2×C4×C71C22×Q811yescharacteristic
255C2×C4×C71C2×#4111yescharacteristic
256C2×C4×C71C2×#4111yescharacteristic
257C2×C4×C71H(5,𝔽2)11yescharacteristic
258C2×C4×C71H(5,𝔽2)11yescharacteristic
259C2×Dic71—22no—
260C2×Dic71—22no—
261C2×Dic71—41no—
262C2×Dic71—41no—
263C2×Dic71—41no—
264C2×Dic71—41no—
265C2×Dic71—41no—
266C2×Dic71—41no—
267C2×Dic71—41no—
268C2×Dic71—41no—
269C2×Dic71—41no—
270C2×Dic71—41no—
271C2×Dic71—41no—
272C2×Dic71—41no—
273C2×Dic71—41no—
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—84no—
284C2×Dic71—84no—
285C2×Dic71—84no—
286C8×C71—22no—
287C8×C71—22no—
288C8×C71—22no—
289C8×C71—22no—
290C22×C71—22no—
291C22×C71—22no—
292C22×C71—22no—
293C22×C71—22no—
294C22×C71—22no—
295C22×C71—22no—
296C22×C71—22no—
297C22×C71—22no—
298C22×C71—22no—
299C22×C71—41no—
300C22×C71—41no—
301C22×C71—41no—
302C22×C71—41no—
303C22×C71#42814yes—
304C22×C71C22×C4⋊C411yescharacteristic
305C22×C71#54611yescharacteristic
306C22×C71#54611yescharacteristic
307C22×C71C2×AGL(1,ℤ/8)11yescharacteristic
308C22×C71C2×#13711yescharacteristic
309C22×C71#57611yescharacteristic
310C22×C71#57811yescharacteristic
311C4×C71—22no—
312C4×C71—22no—
313C4×C71—22no—
314C4×C71—22no—
315C4×C71C4×#4111yescharacteristic
316C4×C71#51811yescharacteristic
317C4×C71#55411yescharacteristic
318C4×C71#55411yescharacteristic
319Dic71—42no—
320Dic71—42no—
321Dic71—81no—
322Dic71—81no—
323Dic71—81no—
324Dic71—81no—
325Dic71—81no—
326Dic71—81no—
327#22709—711nomaximal, Sylow
328C2×C71—24no—
329C2×C71—42no—
330C2×C71#234911yescharacteristic
331C2×C71C2×#42811yescharacteristic
332C2×C71#291311yescharacteristic
333C2×C71#330811yescharacteristic
334C2×C71#331211yescharacteristic
335C2×C71#331411yescharacteristic
336C2×C71#331811yescharacteristic
337C2×#435D7111yescharacteristic
338#2352—711no—
339D4×C4⋊C4—711no—
340#1949—711no—
341#1947—711no—
342#1854—711no—
343#1853—711no—
344#1852—711no—
345#1852—711no—
346#1836—711no—
347#1809—711no—
348#1808—711no—
349#1776—711no—
350#1736—711no—
351C2×#340—711no—
352C71#2270911yescharacteristic, complemented, Sylow
353C22×M16C2×D7111yescharacteristic
354C23×C8C2×D7111yescharacteristic
355C2×C4×D4—1421no—
356C2×C4×D4C2×D7111yescharacteristic
357C2×#117—711no—
358C22×C4⋊C4—711no—
359C22×C4⋊C4—711no—
360C22×C4⋊C4—711no—
361#435Dic7118yescomplemented
362C2×#107—711no—
363C2×#107—711no—
364C2×#107—711no—
365C2×#107—711no—
366C2×#106—711no—
367C2×#106—711no—
368C2×C4⋊C8C2×D7111yescharacteristic
369C2×C22⋊C8C2×D7111yescharacteristic
370C2×C22⋊C8C2×D7111yescharacteristic
371C2×#97C2×D7111yescharacteristic
372#389—1421no—
373#388—1421no—
374#387—1421no—
375#386—1421no—
376#385—1421no—
377#385—1421no—
378#384—711no—
379#382—711no—
380#380—711no—
381#380—711no—
382#380—711no—
383#380—711no—
384C4×C4⋊C4—711no—
385C4×C4⋊C4—711no—
386C4×C22⋊C4—1421no—
387#340—711no—
388#340—711no—
389#340—711no—
390#340—711no—
391#340—711no—
392#340—711no—
393#340—711no—
394#340—711no—
395#340—711no—
396#340—711no—
397C22×D4D28411yescharacteristic
398C23×C4—1421no—
399C23×C4—1421no—
400C23×C4—1421no—
401C23×C4C22×D7111yescharacteristic
402C23×C4C22×D7111yescharacteristic
403C2×M16—41no—
404C2×M16—41no—
405C2×M16C2×Dic7114yescomplemented
406C22×C8—41no—
407C22×C8—41no—
408C22×C8C2×Dic7114yescomplemented
409C22×C8C22×D7111yescharacteristic
410C22×C8C22×D7111yescharacteristic
411C22×C8C22×D7111yescharacteristic
412C22×C8C22×D7111yescharacteristic
413C4×D4—2844no—
414C4×D4Dic14214yes—
415C4×D4C2×Dic7114yes—
416#117—2841no—
417#117—1422no—
418C2×C4⋊C4—2841no—
419C2×C4⋊C4—2841no—
420C2×C4⋊C4—2841no—
421C2×C4⋊C4—711no—
422C2×C4⋊C4—711no—
423C2×C4⋊C4—711no—
424C2×C4⋊C4—711no—
425C2×C4⋊C4—711no—
426C2×C4⋊C4—711no—
427C2×C4⋊C4—711no—
428C2×C4⋊C4—711no—
429C2×C4⋊C4—1421no—
430C2×C4⋊C4—1421no—
431C2×C4⋊C4—1421no—
432C2×C4⋊C4—1421no—
433C2×C4⋊C4—1422no—
434C2×C4⋊C4—1422no—
435C2×C4⋊C4—1422no—
436C2×C4⋊C4—1421no—
437C2×C4⋊C4D28411yescharacteristic
438C2×C22⋊C4—1421no—
439C2×C22⋊C4—1421no—
440C2×C22⋊C4—1421no—
441C2×C22⋊C4—1421no—
442C2×C22⋊C4—1421no—
443C2×C22⋊C4D28411yescharacteristic
444C2×C22⋊C4D28411yescharacteristic
445C2×C42—1421no—
446C2×C42—1421no—
447C2×C42—1421no—
448C2×C42C22×D7111yescharacteristic
449#107—2841no—
450#107—2841no—
451#107—2841no—
452#107—1422no—
453#106—2841no—
454#106—1422no—
455C4⋊C8C2×Dic7114yescomplemented
456C22⋊C8C2×Dic7114yescomplemented
457C22⋊C8C2×Dic7114yescomplemented
458#97C2×Dic7114yescomplemented
459#95—1421no—
460#95—1421no—
461#95—1421no—
462#95—1421no—
463#95—1421no—
464#95—1421no—
465#95—1421no—
466#95—1421no—
467C24C2×D28411yescharacteristic
468C24C2×D28411yescharacteristic
469C2×D4—22no—
470C2×D4—22no—
471C2×D4C4⋊Dic7114yes—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—2842no—
481C22×C4—2842no—
482C22×C4—2842no—
483C22×C4—2842no—
484C22×C4—2842no—
485C22×C4—2842no—
486C22×C4—5681no—
487C22×C4—5681no—
488C22×C4—5681no—
489C22×C4—1421no—
490C22×C4—1421no—
491C22×C4—1421no—
492C22×C4—1421no—
493C22×C4—1421no—
494C22×C4—1421no—
495C22×C4—1421no—
496C22×C4—1421no—
497C22×C4C22×Dic7112yes—
498C22×C4C22×Dic7112yes—
499C22×C4C2×D28411yescharacteristic
500C22×C4C2×D28411yescharacteristic
501C22×C4C2×D28411yescharacteristic
502C22×C4C2×D28411yescharacteristic
503C22×C4C2×Dic14212yes—
504C22×C4C2×Dic14212yes—
505C22×C4C23×D7111yescharacteristic
506M16—44no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—44no—
516C2×C8C22×Dic7112yes—
517C2×C8C22×Dic7112yes—
518C2×C8C22×Dic7112yes—
519C2×C8C22×Dic7112yes—
520C4⋊C4—2842no—
521C4⋊C4—2842no—
522C4⋊C4—2842no—
523C4⋊C4—2842no—
524C4⋊C4—5681no—
525C4⋊C4—712no—
526C4⋊C4—712no—
527C4⋊C4—1421no—
528C4⋊C4—1421no—
529C4⋊C4—1421no—
530C4⋊C4—1421no—
531C4⋊C4—1421no—
532C4⋊C4—1421no—
533C4⋊C4—1421no—
534C4⋊C4—1421no—
535C4⋊C4—1421no—
536C4⋊C4—1421no—
537C4⋊C4—1421no—
538C4⋊C4—1421no—
539C4⋊C4—1421no—
540C4⋊C4—1421no—
541C4⋊C4C4⋊Dic7114yes—
542C22⋊C4—2842no—
543C22⋊C4—2842no—
544C22⋊C4—2842no—
545C22⋊C4—2842no—
546C22⋊C4—5681no—
547C22⋊C4C4⋊Dic7114yes—
548C22⋊C4C4⋊Dic7114yes—
549C42—2842no—
550C42—2842no—
551C42—5681no—
552C42C22×Dic7112yes—
553C42C2×Dic14212yes—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23C2×C4⋊Dic7112yes—
565C23C2×C4⋊Dic7112yes—
566C23#1455615612yes—
567C23#1455616112yes—
568C23C22×D28411yescharacteristic
569D4—28no—
570C2×C4—21no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—2841no—
587C2×C4—2841no—
588C2×C4—2841no—
589C2×C4—2841no—
590C2×C4—2841no—
591C2×C4—2841no—
592C2×C4—2841no—
593C2×C4—2841no—
594C2×C4—2841no—
595C2×C4—2841no—
596C2×C4—2841no—
597C2×C4—2841no—
598C2×C4—2841no—
599C2×C4—2841no—
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—5684no—
609C2×C4—5684no—
610C2×C4—5684no—
611C2×C4—1422no—
612C2×C4—1422no—
613C2×C4C2×C4⋊Dic7112yes—
614C2×C4C2×C4⋊Dic7112yes—
615C2×C4C2×C4⋊Dic7112yes—
616C2×C4C2×C4⋊Dic7112yes—
617C2×C4C23×Dic7111yescharacteristic
618C2×C4C22×Dic14211yescharacteristic
619C2×C4#41×D7111yescharacteristic
620C2×C4#41×D7111yescharacteristic
621C2×C4#1455617311yescharacteristic
622C2×C4#1455617311yescharacteristic
623C8—22no—
624C8—22no—
625C8—22no—
626C8—22no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22#1798604114yes—
641C22C22×C4⋊Dic7111yescharacteristic
642C22#1798664411yescharacteristic
643C22#1798664411yescharacteristic
644C22C2×#1455615611yescharacteristic
645C22C2×#1455616111yescharacteristic
646C22#1798680411yescharacteristic
647C22#1798681611yescharacteristic
648C4—22no—
649C4—22no—
650C4—22no—
651C4—22no—
652C4—2842no—
653C4—2842no—
654C4—5681no—
655C4—5681no—
656C4—5681no—
657C4—5681no—
658C4—5681no—
659C4—5681no—
660C4#41×Dic7111yescharacteristic
661C4#1798647411yescharacteristic
662C4#1798670811yescharacteristic
663C4#1798670811yescharacteristic
664C2—24no—
665C2—42no—
666C2#2259125011yescharacteristic
667C2C2×#1798604111yescharacteristic
668C2#2259694011yescharacteristic
669C2#2260033311yescharacteristic
670C2#2260039311yescharacteristic
671C2#2260042311yescharacteristic
672C2#2260048311yescharacteristic
subgroupG/H
centerC23C22×D284
commutatorC2×C4×C71C23×C4
FrattiniC22×C4C23×D71
FittingC2×#435×C71C2
socleC23×C71C22×D4
prime radicalC22×D4×C71D4
cosocleC22×C4×C71C24
hypercenterC2×#435D71
hypocenterC71#22709
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
3. #22589110C2semidirect
4. #22589099C2semidirect
5. #22588541C2semidirect
6. #22588535C2semidirect
7. #22588530C2semidirect
8. #22588530C2semidirect
9. #22588474C2semidirect
10. #22588373C2semidirect
11. #22588369C2semidirect
12. #22588237C2semidirect
13. #22588060C2semidirect
14. C2×#17985762C2semidirect
55. #435×C71C4semidirect
112. C2×M16×C71C2×C4semidirect
115. C22×C8×C71C2×C4semidirect
126. C4⋊C8×C71C2×C4semidirect
127. C22⋊C8×C71C2×C4semidirect
128. C22⋊C8×C71C2×C4semidirect
129. #97×C71C2×C4semidirect
352. C71#22709semidirect
361. #435Dic71semidirect
405. C2×M16C2×Dic71semidirect
408. C22×C8C2×Dic71semidirect
455. C4⋊C8C2×Dic71semidirect
456. C22⋊C8C2×Dic71semidirect
457. C22⋊C8C2×Dic71semidirect
458. #97C2×Dic71semidirect

Maximal subgroups

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

subgroupindex
#225912692
D4×C4⋊Dic712
#225891102
#225890992
#225885412
#225885352
#225885302
#225884742
#225883732
#225883692
#225882372
#225880602
C2×#179857622
C2×#435×C712
#2270971