Finite Group Databasebeta

← #32020070

Subgroups — #32020070

Order 18176.

982 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986238C211yesmaximal, characteristic
2C2×C4×#11765855C211yesmaximal, characteristic, complemented
3C22×#14556061C211yesmaximal, characteristic
4#22591343C211yesmaximal, characteristic
5#22589200C211yesmaximal, characteristic, complemented
6#22589070C211yesmaximal, characteristic, complemented
7#22588981C211yesmaximal, characteristic, complemented
8#22588978C211yesmaximal, characteristic, complemented
9#22588648C211yesmaximal, characteristic
10#22588647C211yesmaximal, characteristic
11#22588594C211yesmaximal, characteristic, complemented
12#22588593C211yesmaximal, characteristic, complemented
13C4×#14556061C211yesmaximal, characteristic, complemented
14C22⋊C4×C71⋊C8C211yesmaximal, characteristic
15C71×#2360C211yesmaximal, characteristic
16C22×#11765855C2211yescharacteristic
17C23×C71⋊C8C2211yescharacteristic
18C2×#14556107C2211yescharacteristic
19C2×C4×Dic142C2211yescharacteristic
20C22×C4⋊Dic71C2211yescharacteristic
21#17986238C418yescomplemented
22C4×#11765855—24no—
23C2×#14556061—24no—
24C2×#14556061C2211yescharacteristic
25C2×#14556061C2211yescharacteristic
26C2×#14556061C2211yescharacteristic
27C2×#14556061C2211yescharacteristic
28C2×#14556061C2211yescharacteristic
29C2×#14556052C2211yescharacteristic
30C2×#14556052C2211yescharacteristic
31C2×#14556052C2211yescharacteristic
32C2×#14556051C2211yescharacteristic
33C2×#14556051C2211yescharacteristic
34C2×#14556051C2211yescharacteristic
35C2×C22⋊(C71⋊C8)C2211yescharacteristic
36C2×C4×C71⋊C8C2211yescharacteristic
37C2×C4×C71⋊C8C2211yescharacteristic
38#17985905C2211yescharacteristic
39#17985897C2211yescharacteristic
40#17985896—21no—
41#17985886—21no—
42#17985871—21no—
43C4×C4⋊Dic71C2211yescharacteristic
44C22⋊C4×Dic71—21no—
45#17985761C2211yescharacteristic
46#17985761C2211yescharacteristic
47#17985761C2211yescharacteristic
48#17985761C2211yescharacteristic
49#17985754C2211yescharacteristic
50#17985754C2211yescharacteristic
51C2×C22⋊Q8×C71C2211yescharacteristic
52C2×C4×Q8×C71C2211yescharacteristic
53C22×C4⋊C4×C71C2211yescharacteristic
54#391×C71C2211yescharacteristic
55#389×C71—21no—
56#389×C71C2211yescharacteristic
57#387×C71—21no—
58#385×C71—21no—
59C4×C4⋊C4×C71C2211yescharacteristic
60C4×C22⋊C4×C71—21no—
61C4×C22⋊C4×C71C2211yescharacteristic
62C22×Dic142C2311yescharacteristic
63C23×Dic71—21no—
64C2×#11765855—22no—
65C2×#11765855—22no—
66C2×#11765855C2×C414yescomplemented
67C22×C71⋊C8—22no—
68C22×C71⋊C8—22no—
69C22×C71⋊C8C2×C414yes—
70C22×C71⋊C8C2311yescharacteristic
71C22×C71⋊C8C2311yescharacteristic
72C22×C71⋊C8C2311yescharacteristic
73C22×C71⋊C8C2311yescharacteristic
74#14556107—22no—
75#14556107C2×C414yes—
76C4×Dic142—22no—
77C4×Dic142—41no—
78C2×C4⋊Dic71—22no—
79C2×C4⋊Dic71—21no—
80C2×C4⋊Dic71—41no—
81C2×C4⋊Dic71C2311yescharacteristic
82C2×C4⋊Dic71C2311yescharacteristic
83C2×C4⋊Dic71C2311yescharacteristic
84C2×Dic71⋊C4—21no—
85C2×Dic71⋊C4—21no—
86C2×Dic71⋊C4—21no—
87C2×C22⋊Dic71—21no—
88C2×C4×Dic71—21no—
89C2×C4×Dic71—21no—
90#14556061—22no—
91#14556061—22no—
92#14556061—22no—
93#14556061C2×C414yescomplemented
94#14556061D414yes—
95#14556052—22no—
96#14556052—41no—
97#14556052C2×C414yescomplemented
98#14556051—22no—
99#14556051—41no—
100#14556051C2×C414yescomplemented
101C22⋊(C71⋊C8)—22no—
102C4×C71⋊C8—22no—
103C4×C71⋊C8—22no—
104C71⋊#95—21no—
105C71⋊#95—21no—
106C71⋊#95—21no—
107C71⋊#95—21no—
108C22×Q8×C71C2311yescharacteristic
109C23×C4×C71—21no—
110C23×C4×C71C2311yescharacteristic
111C22⋊Q8×C71—22no—
112C22⋊Q8×C71C2×C414yes—
113C4×Q8×C71—22no—
114C4×Q8×C71—41no—
115C2×C4⋊C4×C71—21no—
116C2×C4⋊C4×C71—22no—
117C2×C4⋊C4×C71—21no—
118C2×C4⋊C4×C71—21no—
119C2×C4⋊C4×C71—21no—
120C2×C4⋊C4×C71—41no—
121C2×C4⋊C4×C71C2311yescharacteristic
122C2×C4⋊C4×C71C2311yescharacteristic
123C2×C4⋊C4×C71C2311yescharacteristic
124C2×C22⋊C4×C71—21no—
125C2×C22⋊C4×C71D411yescharacteristic
126C2×C22⋊C4×C71D411yescharacteristic
127C2×C42×C71—21no—
128C2×C42×C71—21no—
129C2×C42×C71C2311yescharacteristic
130C2×C42×C71C2311yescharacteristic
131#95×C71—21no—
132#95×C71—21no—
133#95×C71—21no—
134#95×C71—21no—
135#95×C71D411yescharacteristic
136#95×C71D411yescharacteristic
137C2×Dic142—21no—
138C2×Dic142—21no—
139C2×Dic142—21no—
140C2×Dic142—21no—
141C2×Dic142—21no—
142C2×Dic142C22×C412yes—
143C22×Dic71—21no—
144C22×Dic71—21no—
145C22×Dic71—21no—
146C22×Dic71—21no—
147C22×Dic71—42no—
148C22×Dic71—42no—
149C22×Dic71—81no—
150#11765855—28no—
151C2×C71⋊C8—21no—
152C2×C71⋊C8—21no—
153C2×C71⋊C8—28no—
154C2×C71⋊C8—21no—
155C2×C71⋊C8—21no—
156C2×C71⋊C8—21no—
157C2×C71⋊C8—21no—
158C2×C71⋊C8—21no—
159C2×C71⋊C8—21no—
160C2×C71⋊C8C22×C412yes—
161C2×C71⋊C8C22×C412yes—
162C2×C71⋊C8C2×D412yes—
163C2×C71⋊C8#4112yes—
164C4⋊Dic71—21no—
165C4⋊Dic71—21no—
166C4⋊Dic71—21no—
167C4⋊Dic71—21no—
168C4⋊Dic71—42no—
169C4⋊Dic71C22×C412yes—
170C4⋊Dic71C2×D412yes—
171Dic71⋊C4—24no—
172Dic71⋊C4—42no—
173Dic71⋊C4—81no—
174C22⋊Dic71—24no—
175C4×Dic71—42no—
176C4×Dic71—81no—
177C24×C71C2×D411yescharacteristic
178C2×Q8×C71—21no—
179C2×Q8×C71—21no—
180C2×Q8×C71—21no—
181C2×Q8×C71—21no—
182C2×Q8×C71—21no—
183C2×Q8×C71C22×C412yes—
184C22×C4×C71—21no—
185C22×C4×C71—21no—
186C22×C4×C71—21no—
187C22×C4×C71—21no—
188C22×C4×C71—21no—
189C22×C4×C71—21no—
190C22×C4×C71—21no—
191C22×C4×C71—21no—
192C22×C4×C71—42no—
193C22×C4×C71—42no—
194C22×C4×C71—81no—
195C22×C4×C71C22×C412yes—
196C22×C4×C71C2×D411yescharacteristic
197C22×C4×C71C2×D411yescharacteristic
198C22×C4×C71C2×D411yescharacteristic
199C22×C4×C71C2×D411yescharacteristic
200C22×C4×C71C2×D411yescharacteristic
201C22×C4×C71#4112yes—
202C22×C4×C71C2411yescharacteristic
203C4⋊C4×C71—24no—
204C4⋊C4×C71—21no—
205C4⋊C4×C71—21no—
206C4⋊C4×C71—21no—
207C4⋊C4×C71—21no—
208C4⋊C4×C71—42no—
209C4⋊C4×C71—42no—
210C4⋊C4×C71—81no—
211C4⋊C4×C71C22×C412yes—
212C4⋊C4×C71C2×D412yes—
213C22⋊C4×C71—24no—
214C22⋊C4×C71—22no—
215C22⋊C4×C71Q1614yescomplemented
216C42×C71—21no—
217C42×C71—21no—
218C42×C71—21no—
219C42×C71—21no—
220C42×C71—42no—
221C42×C71—81no—
222C23×C71—21no—
223C23×C71—21no—
224C23×C71—21no—
225C23×C71—21no—
226C23×C71C4×D412yes—
227C23×C71C2×Q1612yes—
228C23×C71#13512yes—
229C23×C71C22×D411yescharacteristic
230Q8×C71—22no—
231Q8×C71—22no—
232Q8×C71—41no—
233Q8×C71—41no—
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—22no—
241C2×C4×C71—22no—
242C2×C4×C71—22no—
243C2×C4×C71—22no—
244C2×C4×C71—22no—
245C2×C4×C71—22no—
246C2×C4×C71—21no—
247C2×C4×C71—22no—
248C2×C4×C71—21no—
249C2×C4×C71—21no—
250C2×C4×C71—21no—
251C2×C4×C71—21no—
252C2×C4×C71—21no—
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×C71C4×D412yes—
264C2×C4×C71C2×Q1612yes—
265C2×C4×C71C2×Q1612yes—
266C2×C4×C71C23×C411yescharacteristic
267C2×C4×C71C22×D411yescharacteristic
268C2×C4×C71C2×#4111yescharacteristic
269C2×C4×C71C2×#4111yescharacteristic
270C2×C4×C71H(5,𝔽2)11yescharacteristic
271C2×C4×C712−1+411yescharacteristic
272C2×Dic71—22no—
273C2×Dic71—22no—
274C2×Dic71—22no—
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—84no—
285Dic142—22no—
286Dic142—22no—
287Dic142—41no—
288Dic142—41no—
289C71⋊C8—22no—
290C71⋊C8—41no—
291C71⋊C8—41no—
292C71⋊C8C4×D414yes—
293C22×C71—22no—
294C22×C71—22no—
295C22×C71—22no—
296C22×C71—22no—
297C22×C71—22no—
298C22×C71—22no—
299C22×C71C4×Q1614yescomplemented
300C22×C71C2×C4×D411yescharacteristic
301C22×C71D4211yescharacteristic
302C22×C71#54711yescharacteristic
303C22×C71C22×Q1611yescharacteristic
304C22×C71C2×#13511yescharacteristic
305C22×C71#57611yescharacteristic
306C22×C71#57811yescharacteristic
307C4×C71—22no—
308C4×C71—22no—
309C4×C71—22no—
310C4×C71—41no—
311C4×C71—42no—
312C4×C71—42no—
313C4×C71—41no—
314C4×C71—42no—
315C4×C71—81no—
316C4×C71C2×C4×D411yescharacteristic
317C4×C71#52011yescharacteristic
318C4×C71#54811yescharacteristic
319C4×C71#55311yescharacteristic
320Dic71—42no—
321Dic71—42no—
322Dic71—42no—
323Dic71—81no—
324#23024—711nomaximal, Sylow
325C2×C71—24no—
326C2×C71#236111yescharacteristic
327C2×C71C2×C4×Q1611yescharacteristic
328C2×C71#295111yescharacteristic
329C2×C71#328011yescharacteristic
330C2×C71D4×Q1611yescharacteristic
331C2×C71#333611yescharacteristic
332C2×C71#333811yescharacteristic
333C2×#467—711no—
334C2×C4×Q16—711no—
335C22×#107—711no—
336#2360—711no—
337#2360D7111yescharacteristic
338#1969—711no—
339#1942—711no—
340#1928—711no—
341#1928—711no—
342#1872—711no—
343#1872—711no—
344#1863—711no—
345#1863—711no—
346C4×#107—711no—
347C8×C22⋊C4—711no—
348C71#2302411yescharacteristic, complemented, Sylow
349C22×Q16—711no—
350C23×C8—711no—
351C2×C22⋊Q8—711no—
352C2×C22⋊Q8C2×D7111yescharacteristic
353C2×C4×Q8—711no—
354C2×C4×Q8C2×D7111yescharacteristic
355C22×C4⋊C4—711no—
356C22×C4⋊C4C2×D7111yescharacteristic
357#467—718no—
358C4×Q16—1424no—
359C2×#107—711no—
360C2×#107—711no—
361C2×#107—711no—
362C2×#107—711no—
363C2×#107—711no—
364C2×#107—1424no—
365C2×#103—711no—
366C2×#103—711no—
367C2×#103—711no—
368C2×#103—711no—
369C2×#103—711no—
370C2×#103—711no—
371C2×C22⋊C8—711no—
372C2×C4×C8—711no—
373C2×C4×C8—711no—
374#391—711no—
375#391C2×D7111yescharacteristic
376#389—21no—
377#389—711no—
378#389—1421no—
379#389C2×D7111yescharacteristic
380#387—21no—
381#387—1421no—
382#385—21no—
383#385—1421no—
384C4×C4⋊C4—711no—
385C4×C4⋊C4C2×D7111yescharacteristic
386C4×C22⋊C4—21no—
387C4×C22⋊C4—1421no—
388C4×C22⋊C4C2×D7111yescharacteristic
389#340—711no—
390#340—711no—
391#340—711no—
392#340—711no—
393#336—711no—
394#336—711no—
395C22×Q8—711no—
396C22×Q8C22×D7111yescharacteristic
397C23×C4—21no—
398C23×C4—1421no—
399C23×C4C22×D7111yescharacteristic
400C2×Q16—714no—
401C2×Q16—1422no—
402C2×Q16—1422no—
403C22×C8—711no—
404C22×C8—714no—
405C22×C8—711no—
406C22×C8—711no—
407C22×C8—711no—
408C22×C8—1422no—
409C22×C8—1422no—
410C22⋊Q8—22no—
411C22⋊Q8—714no—
412C22⋊Q8—1422no—
413C22⋊Q8C4×D7114yes—
414C4×Q8—22no—
415C4×Q8—41no—
416C4×Q8—2841no—
417C4×Q8—1422no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—22no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—41no—
424C2×C4⋊C4—2841no—
425C2×C4⋊C4—711no—
426C2×C4⋊C4—711no—
427C2×C4⋊C4—711no—
428C2×C4⋊C4—1421no—
429C2×C4⋊C4—1421no—
430C2×C4⋊C4—1422no—
431C2×C4⋊C4—1421no—
432C2×C4⋊C4—1421no—
433C2×C4⋊C4C22×D7111yescharacteristic
434C2×C4⋊C4C22×D7111yescharacteristic
435C2×C4⋊C4C22×D7111yescharacteristic
436C2×C22⋊C4—21no—
437C2×C22⋊C4—1421no—
438C2×C22⋊C4C22⋊D7111yescharacteristic
439C2×C22⋊C4C22⋊D7111yescharacteristic
440C2×C42—21no—
441C2×C42—21no—
442C2×C42—1421no—
443C2×C42—1421no—
444C2×C42C22×D7111yescharacteristic
445C2×C42C22×D7111yescharacteristic
446#107—714no—
447#107—714no—
448#107—1422no—
449#107—1422no—
450#107—1422no—
451#103—2841no—
452#103—2841no—
453#103—714no—
454#103—714no—
455#103—1422no—
456#103—1422no—
457C22⋊C8—1422no—
458C4×C8—1422no—
459C4×C8—1422no—
460#95—21no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—1421no—
465#95—1421no—
466#95—1421no—
467#95—1421no—
468#95C22⋊D7111yescharacteristic
469#95C22⋊D7111yescharacteristic
470C24C2×C22⋊D7111yescharacteristic
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—712no—
477C2×Q8—1421no—
478C2×Q8—1421no—
479C2×Q8—1421no—
480C2×Q8—1421no—
481C2×Q8—1421no—
482C2×Q8C2×C4×D7112yes—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—81no—
494C22×C4—2842no—
495C22×C4—2842no—
496C22×C4—5681no—
497C22×C4—1421no—
498C22×C4—1421no—
499C22×C4—1421no—
500C22×C4—1421no—
501C22×C4C2×C4×D7112yes—
502C22×C4C2×C22⋊D7111yescharacteristic
503C22×C4C2×C22⋊D7111yescharacteristic
504C22×C4C2×C22⋊D7111yescharacteristic
505C22×C4C2×C22⋊D7111yescharacteristic
506C22×C4C2×C22⋊D7111yescharacteristic
507C22×C4#1176586512yes—
508C22×C4C23×D7111yescharacteristic
509Q16—1428no—
510C2×C8—712no—
511C2×C8—712no—
512C2×C8—712no—
513C2×C8—712no—
514C2×C8—1421no—
515C2×C8—1421no—
516C2×C8—1421no—
517C2×C8—1421no—
518C2×C8—1421no—
519C2×C8—1421no—
520C2×C8—1428no—
521C2×C8—1421no—
522C2×C8—1421no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—24no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—42no—
529C4⋊C4—42no—
530C4⋊C4—81no—
531C4⋊C4—2842no—
532C4⋊C4—2842no—
533C4⋊C4—5681no—
534C4⋊C4—712no—
535C4⋊C4—712no—
536C4⋊C4—1421no—
537C4⋊C4—1421no—
538C4⋊C4—1421no—
539C4⋊C4—1421no—
540C4⋊C4—1424no—
541C4⋊C4C2×C4×D7112yes—
542C4⋊C4D4×D7112yes—
543C22⋊C4—24no—
544C22⋊C4—22no—
545C22⋊C4—1424no—
546C22⋊C4#1176585514yescomplemented
547C42—21no—
548C42—21no—
549C42—21no—
550C42—21no—
551C42—42no—
552C42—81no—
553C42—2842no—
554C42—5681no—
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23C4×C22⋊D7112yes—
560C23C2×#1176585512yes—
561C23#1455614812yes—
562C23C22×C22⋊D7111yescharacteristic
563Q8—22no—
564Q8—22no—
565Q8—41no—
566Q8—41no—
567Q8—2841no—
568Q8—2841no—
569Q8—1422no—
570Q8—1422no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—21no—
582C2×C4—22no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
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—5684no—
610C2×C4—1422no—
611C2×C4—1422no—
612C2×C4—1422no—
613C2×C4C4×C22⋊D7112yes—
614C2×C4C2×#1176585512yes—
615C2×C4C2×#1176585512yes—
616C2×C4C22×C4×D7111yescharacteristic
617C2×C4C2×D4×D7111yescharacteristic
618C2×C4#41×D7111yescharacteristic
619C2×C4C2×#1176586511yescharacteristic
620C2×C4#1455617311yescharacteristic
621C2×C4#1455617511yescharacteristic
622C8—2841no—
623C8—2841no—
624C8—714no—
625C8—1422no—
626C22—22no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22C4×#1176585514yescomplemented
633C22C2×C4×C22⋊D7111yescharacteristic
634C22D4×C22⋊D7111yescharacteristic
635C22#1798664811yescharacteristic
636C22C22×#1176585511yescharacteristic
637C22C2×#1455614811yescharacteristic
638C22#1798680211yescharacteristic
639C22#1798681411yescharacteristic
640C4—22no—
641C4—22no—
642C4—22no—
643C4—41no—
644C4—42no—
645C4—42no—
646C4—42no—
647C4—41no—
648C4—81no—
649C4—2842no—
650C4—2842no—
651C4—2842no—
652C4—5681no—
653C4C4×D4×D7111yescharacteristic
654C4#1798647811yescharacteristic
655C4#1798665811yescharacteristic
656C4#1798669811yescharacteristic
657C2—24no—
658C2#2259135711yescharacteristic
659C2C2×C4×#1176585511yescharacteristic
660C2#2259721311yescharacteristic
661C2#2260002111yescharacteristic
662C2D4×#1176585511yescharacteristic
663C2#2260070211yescharacteristic
664C2#2260072811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D71
commutatorC2×C4×C71C23×C4
FrattiniC22×C4C23×D71
FittingC71×#2360C2
socleC23×C71C22×D4
prime radicalC24×C71C2×D4
cosocleC22×C4×C71C24
hypercenter#2360D71
hypocenterC71#23024
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2360

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11765855C2semidirect
5. #22589200C2semidirect
6. #22589070C2semidirect
7. #22588981C2semidirect
8. #22588978C2semidirect
11. #22588594C2semidirect
12. #22588593C2semidirect
13. C4×#14556061C2semidirect
21. #17986238C4semidirect
66. C2×#11765855C2×C4semidirect
93. #14556061C2×C4semidirect
97. #14556052C2×C4semidirect
100. #14556051C2×C4semidirect
215. C22⋊C4×C71Q16semidirect
299. C22×C71C4×Q16semidirect
348. C71#23024semidirect
546. C22⋊C4#11765855semidirect
632. C22C4×#11765855semidirect

Maximal subgroups

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

subgroupindex
C2×#179862382
C2×C4×#117658552
C22×#145560612
#225913432
#225892002
#225890702
#225889812
#225889782
#225886482
#225886472
#225885942
#225885932
C4×#145560612
C22⋊C4×C71⋊C82
C71×#23602
#2302471