Finite Group Databasebeta

← C2×#22591265 #32156775

Subgroups — C2×#22591265 #32156775

Order 18176.

3894 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×C22⋊D71C211yesmaximal, characteristic
2C22×#14556086C211yesmaximal, characteristic, complemented
3#22591265C2116yesmaximal, direct product factor
4C2×#17985889C212yesmaximal, complemented
5C2×#17985880C212yesmaximal, complemented
6C2×#17985878C212yesmaximal
7C2×#17985864C211yesmaximal, characteristic, complemented
8C2×#17985859C211yesmaximal, characteristic, complemented
9C2×#17985856C211yesmaximal, characteristic, complemented
10C2×C4⋊C4×Dic71C211yesmaximal, characteristic, complemented
11C2×C4×C22⋊Dic71C212yesmaximal, complemented
12C23×C4⋊C4×C71C211yesmaximal, characteristic, complemented
13C23×C22⋊D71C2211yescharacteristic
14C23×C4×D71C2211yescharacteristic
15C2×C4×C22⋊D71C4116yescomplemented
16C2×C4×C22⋊D71C2218yes—
17C2×#14556086—28no—
18C2×#14556086C2218yescomplemented
19C22×C4⋊Dic71C2211yescharacteristic
20C22×C4⋊Dic71C2211yescharacteristic
21C22×Dic71⋊C4C2211yescharacteristic
22C22×C22⋊Dic71C2212yes—
23C22×C22⋊Dic71C2211yescharacteristic
24C22×(C2×D71)⋊C4C2212yes—
25C22×(C2×D71)⋊C4C2212yes—
26C22×(C2×D71)⋊C4C2211yescharacteristic
27C22×C4×Dic71C2212yes—
28C22×C4×Dic71C2212yes—
29C22×C4×Dic71C2211yescharacteristic
30#17985889C22116yescomplemented
31#17985880C22116yescomplemented
32#17985878C22116yes—
33#17985864C2218yescomplemented
34#17985859C2218yescomplemented
35#17985856C2218yescomplemented
36C4⋊C4×Dic71C2218yescomplemented
37C4×C22⋊Dic71C22116yescomplemented
38C2×C71⋊#95C2212yes—
39C2×C71⋊#95C2212yes—
40C2×C71⋊#95C2212yes—
41C2×C71⋊#95C2212yes—
42C2×C71⋊#95C2212yes—
43C24×C4×C71C2212yes—
44C24×C4×C71C2211yescharacteristic
45C22×C4⋊C4×C71—28no—
46C22×C4⋊C4×C71C2211yescharacteristic
47C22×C4⋊C4×C71C2212yes—
48C22×C4⋊C4×C71C2211yescharacteristic
49C22×C4⋊C4×C71C2218yescomplemented
50C24×D71C2311yescharacteristic
51C22×C22⋊D71—24no—
52C22×C22⋊D71—24no—
53C22×C22⋊D71C2×C418yes—
54C22×C22⋊D71C2314yes—
55C23×Dic71C2312yes—
56C23×Dic71C2312yes—
57C23×Dic71C2311yescharacteristic
58C23×Dic71C2311yescharacteristic
59C23×Dic71C2311yescharacteristic
60C22×C4×D71—24no—
61C22×C4×D71—24no—
62C22×C4×D71C2×C418yescomplemented
63C22×C4×D71C2314yes—
64C4×C22⋊D71C2×C4164yescomplemented
65#14556086—232no—
66C2×C4⋊Dic71—24no—
67C2×C4⋊Dic71—24no—
68C2×C4⋊Dic71C2314yes—
69C2×C4⋊Dic71C2314yes—
70C2×Dic71⋊C4C2×C418yescomplemented
71C2×Dic71⋊C4C2314yes—
72C2×C22⋊Dic71—28no—
73C2×C22⋊Dic71C2×C418yes—
74C2×C22⋊Dic71C2318yes—
75C2×C22⋊Dic71C2314yes—
76C2×(C2×D71)⋊C4—28no—
77C2×(C2×D71)⋊C4—44no—
78C2×(C2×D71)⋊C4C2×C418yescomplemented
79C2×(C2×D71)⋊C4C2318yes—
80C2×(C2×D71)⋊C4C2318yes—
81C2×(C2×D71)⋊C4C2314yes—
82C2×C4×Dic71—28no—
83C2×C4×Dic71—44no—
84C2×C4×Dic71C2×C418yescomplemented
85C2×C4×Dic71C2318yes—
86C2×C4×Dic71C2318yes—
87C2×C4×Dic71C2314yes—
88C71⋊#95C2318yes—
89C71⋊#95C2318yes—
90C71⋊#95C2318yes—
91C71⋊#95C2318yes—
92C71⋊#95C2318yes—
93C25×C71C2311yescharacteristic
94C23×C4×C71—24no—
95C23×C4×C71—24no—
96C23×C4×C71—28no—
97C23×C4×C71—28no—
98C23×C4×C71—44no—
99C23×C4×C71C2×C418yes—
100C23×C4×C71C2312yes—
101C23×C4×C71C2318yes—
102C23×C4×C71C2311yescharacteristic
103C23×C4×C71C2314yes—
104C23×C4×C71C2312yes—
105C23×C4×C71C2311yescharacteristic
106C2×C4⋊C4×C71—28no—
107C2×C4⋊C4×C71—24no—
108C2×C4⋊C4×C71—232no—
109C2×C4⋊C4×C71D418yescomplemented
110C2×C4⋊C4×C71C2314yes—
111C2×C4⋊C4×C71C2318yes—
112C2×C4⋊C4×C71C2314yes—
113C23×D71—22no—
114C23×D71—22no—
115C23×D71—22no—
116C23×D71—22no—
117C23×D71—22no—
118C23×D71—22no—
119C23×D71C22×C414yes—
120C23×D71C2412yes—
121C2×C22⋊D71—232no—
122C2×C22⋊D71—28no—
123C2×C22⋊D71—28no—
124C2×C22⋊D71C22×C4116yes—
125C22×Dic71—22no—
126C22×Dic71—22no—
127C22×Dic71—22no—
128C22×Dic71—22no—
129C22×Dic71—22no—
130C22×Dic71—22no—
131C22×Dic71—24no—
132C22×Dic71—24no—
133C22×Dic71—24no—
134C22×Dic71—24no—
135C22×Dic71—24no—
136C22×Dic71—24no—
137C22×Dic71C22×C414yes—
138C22×Dic71C22×C414yes—
139C22×Dic71C22×C414yes—
140C22×Dic71C2414yes—
141C22×Dic71C2414yes—
142C22×Dic71C2412yes—
143C22×Dic71C2412yes—
144C22×Dic71C2412yes—
145C2×C4×D71—232no—
146C2×C4×D71—28no—
147C2×C4×D71—28no—
148C2×C4×D71C22×C4116yescomplemented
149C4⋊Dic71—28no—
150C4⋊Dic71—28no—
151Dic71⋊C4C22×C4116yescomplemented
152C22⋊Dic71—216no—
153C22⋊Dic71C22×C4116yes—
154(C2×D71)⋊C4—216no—
155(C2×D71)⋊C4—48no—
156(C2×D71)⋊C4C22×C4116yescomplemented
157C4×Dic71—216no—
158C4×Dic71—48no—
159C4×Dic71C22×C4116yescomplemented
160C24×C71—22no—
161C24×C71—22no—
162C24×C71—22no—
163C24×C71—22no—
164C24×C71C22×C414yes—
165C24×C71#4114yes—
166C24×C71#4114yes—
167C24×C71C2412yes—
168C24×C71C2411yescharacteristic
169C22×C4×C71—22no—
170C22×C4×C71—24no—
171C22×C4×C71—22no—
172C22×C4×C71—24no—
173C22×C4×C71—232no—
174C22×C4×C71—28no—
175C22×C4×C71—28no—
176C22×C4×C71—24no—
177C22×C4×C71—216no—
178C22×C4×C71—24no—
179C22×C4×C71—24no—
180C22×C4×C71—216no—
181C22×C4×C71—48no—
182C22×C4×C71—432no—
183C22×C4×C71C22×C414yes—
184C22×C4×C71C22×C4116yes—
185C22×C4×C71C22×C414yes—
186C22×C4×C71C2×D418yes—
187C22×C4×C71C2×D414yes—
188C22×C4×C71#4114yes—
189C22×C4×C71C2414yes—
190C22×C4×C71C2412yes—
191C22×C4×C71C2414yes—
192C22×C4×C71C2412yes—
193C4⋊C4×C71—216no—
194C4⋊C4×C71—28no—
195C4⋊C4×C71C2×D4116yescomplemented
196C23×C71—28no—
197C23×C71—28no—
198C23×C71—28no—
199C23×C71—28no—
200C23×C71—28no—
201C23×C71—28no—
202C23×C71—22no—
203C23×C71—22no—
204C23×C71—22no—
205C23×C71—22no—
206C23×C71#117116yescomplemented
207C23×C71C23×C414yes—
208C23×C71C23×C412yes—
209C23×C71C22×D412yes—
210C23×C71C2×#4114yes—
211C23×C71C2×#4112yes—
212C23×C71C2×#4112yes—
213C23×C71C2×#4114yes—
214C23×C71C2×#4112yes—
215C23×C71H(5,𝔽2)12yes—
216C23×C712−1+412yes—
217C23×C71C2511yescharacteristic
218C22×D71—28no—
219C22×D71—28no—
220C22×D71—28no—
221C22×D71—22no—
222C22×D71—22no—
223C22×D71—22no—
224C22×D71—22no—
225C22×D71—22no—
226C22×D71—22no—
227C22×D71—44no—
228C22×D71—44no—
229C22×D71—44no—
230C22×D71—44no—
231C22×D71C23×C414yes—
232C2×C4×C71—28no—
233C2×C4×C71—216no—
234C2×C4×C71—22no—
235C2×C4×C71—24no—
236C2×C4×C71—22no—
237C2×C4×C71—24no—
238C2×C4×C71—232no—
239C2×C4×C71—24no—
240C2×C4×C71—24no—
241C2×C4×C71—24no—
242C2×C4×C71—432no—
243C2×C4×C71—48no—
244C2×C4×C71C4×D4116yes—
245C2×C4×C71C23×C414yes—
246C2×C4×C71C23×C414yes—
247C2×C4×C71C22×D418yes—
248C2×C4×C71C22×D414yes—
249C2×C4×C71C2×#4114yes—
250C22⋊D71—232no—
251C2×Dic71—28no—
252C2×Dic71—28no—
253C2×Dic71—28no—
254C2×Dic71—22no—
255C2×Dic71—22no—
256C2×Dic71—22no—
257C2×Dic71—22no—
258C2×Dic71—22no—
259C2×Dic71—22no—
260C2×Dic71—24no—
261C2×Dic71—24no—
262C2×Dic71—24no—
263C2×Dic71—24no—
264C2×Dic71—24no—
265C2×Dic71—24no—
266C2×Dic71—48no—
267C2×Dic71—48no—
268C2×Dic71C23×C414yes—
269C2×Dic71C23×C414yes—
270C2×Dic71C23×C414yes—
271C4×D71—232no—
272C22×C71—232no—
273C22×C71—24no—
274C22×C71—24no—
275C22×C71—24no—
276C22×C71—24no—
277C22×C71—24no—
278C22×C71—24no—
279C22×C71C2×#11714yes—
280C22×C71C2×#11718yescomplemented
281C22×C71C2×C4×D414yes—
282C22×C71#52014yes—
283C22×C71#54614yes—
284C22×C71#54814yes—
285C22×C71#55214yes—
286C22×C71#55314yes—
287C22×C71C24×C411yescharacteristic
288C22×C71C23×D411yescharacteristic
289C22×C71C22×#4111yescharacteristic
290C22×C71C22×#4111yescharacteristic
291C22×C71C22×#4111yescharacteristic
292C22×C71C2×H(5,𝔽2)11yescharacteristic
293C22×C71C2×2−1+411yescharacteristic
294C2×D71—24no—
295C2×D71—24no—
296C2×D71—24no—
297C2×D71—416no—
298C2×D71—42no—
299C2×D71—42no—
300C2×D71—42no—
301C2×D71—42no—
302C4×C71—24no—
303C4×C71—28no—
304C4×C71—44no—
305C4×C71C2×C4×D418yes—
306Dic71—24no—
307Dic71—24no—
308Dic71—24no—
309Dic71—44no—
310Dic71—44no—
311C2×#2352—711nomaximal, Sylow
312C2×C71—28no—
313C2×C71#235218yescomplemented
314C2×C71C22×#11711yescharacteristic
315C2×C71C22×C4×D411yescharacteristic
316C2×C71C2×#52011yescharacteristic
317C2×C71C2×#54611yescharacteristic
318C2×C71C2×#54811yescharacteristic
319C2×C71C2×#55211yescharacteristic
320C2×C71C2×#55311yescharacteristic
321D71—44no—
322C22×C4×D4—711no—
323C22×#117—711no—
324C23×C4⋊C4D7111yescharacteristic, complemented
325#2352—7116no—
326C2×#388—712no—
327C2×#387—712no—
328C2×#386—712no—
329C2×#382—711no—
330C2×#380—711no—
331C2×#380—711no—
332C2×C4×C4⋊C4—711no—
333C2×C4×C22⋊C4—712no—
334C71C2×#235211yescharacteristic, complemented, Sylow
335C23×D4—711no—
336C24×C4—711no—
337C24×C4C2×D7112yes—
338C24×C4C2×D7111yescharacteristic
339C2×C4×D4—7116no—
340C2×C4×D4—718no—
341C2×#117—718no—
342C2×#117—1428no—
343C22×C4⋊C4—28no—
344C22×C4⋊C4—711no—
345C22×C4⋊C4—711no—
346C22×C4⋊C4—711no—
347C22×C4⋊C4C2×D7111yescharacteristic
348C22×C4⋊C4C2×D7112yes—
349C22×C4⋊C4C2×D7111yescharacteristic
350C22×C4⋊C4C2×D7118yescomplemented
351C22×C22⋊C4—712no—
352C22×C22⋊C4—711no—
353C22×C22⋊C4—711no—
354C22×C22⋊C4—712no—
355C22×C22⋊C4—712no—
356C22×C42—712no—
357C22×C42—711no—
358C22×C42—712no—
359#388—7116no—
360#387—7116no—
361#386—7116no—
362#382—718no—
363#380—718no—
364#380—718no—
365C4×C4⋊C4—718no—
366C4×C22⋊C4—7116no—
367C2×#95—712no—
368C2×#95—712no—
369C2×#95—712no—
370C2×#95—712no—
371C2×#95—712no—
372C25—711no—
373C25C22×D7111yescharacteristic
374C22×D4—718no—
375C22×D4—714no—
376C22×D4—1424no—
377C22×D4—1424no—
378C23×C4—24no—
379C23×C4—24no—
380C23×C4—28no—
381C23×C4—28no—
382C23×C4—44no—
383C23×C4—711no—
384C23×C4—711no—
385C23×C4—711no—
386C23×C4—718no—
387C23×C4—714no—
388C23×C4—712no—
389C23×C4—712no—
390C23×C4—1424no—
391C23×C4—1424no—
392C23×C4C4×D7118yes—
393C23×C4C22×D7112yes—
394C23×C4C22×D7118yes—
395C23×C4C22×D7114yes—
396C23×C4C22×D7111yescharacteristic
397C23×C4C22×D7112yes—
398C23×C4C22×D7111yescharacteristic
399C4×D4—7164no—
400#117—14232no—
401C2×C4⋊C4—28no—
402C2×C4⋊C4—24no—
403C2×C4⋊C4—232no—
404C2×C4⋊C4—718no—
405C2×C4⋊C4—714no—
406C2×C4⋊C4—714no—
407C2×C4⋊C4—714no—
408C2×C4⋊C4—1424no—
409C2×C4⋊C4—1424no—
410C2×C4⋊C4C22⋊D7118yescomplemented
411C2×C4⋊C4C22×D7114yes—
412C2×C4⋊C4C22×D7118yes—
413C2×C4⋊C4C22×D7114yes—
414C2×C22⋊C4—2844no—
415C2×C22⋊C4—718no—
416C2×C22⋊C4—718no—
417C2×C22⋊C4—714no—
418C2×C22⋊C4—718no—
419C2×C22⋊C4—714no—
420C2×C22⋊C4—718no—
421C2×C22⋊C4—718no—
422C2×C22⋊C4—1428no—
423C2×C22⋊C4—1428no—
424C2×C42—2844no—
425C2×C42—718no—
426C2×C42—718no—
427C2×C42—714no—
428C2×C42—718no—
429C2×C42—1428no—
430#95—718no—
431#95—718no—
432#95—718no—
433#95—718no—
434#95—718no—
435C24—22no—
436C24—22no—
437C24—22no—
438C24—22no—
439C24—714no—
440C24—712no—
441C24—1422no—
442C24—1422no—
443C24—1422no—
444C24—1422no—
445C24—1422no—
446C24—1422no—
447C24C2×C4×D7114yes—
448C24#1176586414yes—
449C24#1176586614yes—
450C24C23×D7112yes—
451C24C23×D7111yescharacteristic
452C2×D4—7116no—
453C2×D4—1428no—
454C2×D4—1428no—
455C2×D4—14232no—
456C22×C4—22no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—24no—
460C22×C4—28no—
461C22×C4—28no—
462C22×C4—232no—
463C22×C4—24no—
464C22×C4—216no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—216no—
468C22×C4—48no—
469C22×C4—432no—
470C22×C4—714no—
471C22×C4—714no—
472C22×C4—714no—
473C22×C4—712no—
474C22×C4—712no—
475C22×C4—712no—
476C22×C4—7116no—
477C22×C4—714no—
478C22×C4—714no—
479C22×C4—1424no—
480C22×C4—1424no—
481C22×C4—1424no—
482C22×C4—1424no—
483C22×C4—1424no—
484C22×C4—1424no—
485C22×C4—1422no—
486C22×C4—1422no—
487C22×C4—1422no—
488C22×C4—1422no—
489C22×C4—1422no—
490C22×C4—1422no—
491C22×C4—1428no—
492C22×C4—1428no—
493C22×C4—14232no—
494C22×C4C2×C4×D7114yes—
495C22×C4C2×C4×D71116yes—
496C22×C4C2×C4×D7114yes—
497C22×C4C2×C22⋊D7118yes—
498C22×C4C2×C22⋊D7114yes—
499C22×C4#1176586514yes—
500C22×C4C23×D7114yes—
501C22×C4C23×D7112yes—
502C22×C4C23×D7114yes—
503C22×C4C23×D7112yes—
504C4⋊C4—216no—
505C4⋊C4—28no—
506C4⋊C4—7116no—
507C4⋊C4—1428no—
508C4⋊C4—1428no—
509C4⋊C4C2×C22⋊D71116yescomplemented
510C22⋊C4—2848no—
511C22⋊C4—7116no—
512C22⋊C4—7116no—
513C22⋊C4—14216no—
514C22⋊C4—14216no—
515C42—2848no—
516C42—7116no—
517C42—14216no—
518C23—22no—
519C23—22no—
520C23—22no—
521C23—22no—
522C23—28no—
523C23—28no—
524C23—28no—
525C23—28no—
526C23—28no—
527C23—28no—
528C23—2844no—
529C23—2844no—
530C23—2844no—
531C23—2844no—
532C23—714no—
533C23—1422no—
534C23—1422no—
535C23—1422no—
536C23—1422no—
537C23—1422no—
538C23—1422no—
539C23—1428no—
540C23—1428no—
541C23—1428no—
542C23#14556086116yescomplemented
543C23C22×C4×D7114yes—
544C23C22×C4×D7112yes—
545C23C22×C22⋊D7112yes—
546C23C2×#1176586414yes—
547C23C2×#1176586412yes—
548C23C2×#1176586512yes—
549C23C2×#1176586614yes—
550C23C2×#1176586612yes—
551C23#1455617312yes—
552C23#1455617612yes—
553C23C24×D7111yescharacteristic
554D4—14232no—
555C2×C4—22no—
556C2×C4—24no—
557C2×C4—22no—
558C2×C4—24no—
559C2×C4—216no—
560C2×C4—28no—
561C2×C4—232no—
562C2×C4—24no—
563C2×C4—24no—
564C2×C4—24no—
565C2×C4—432no—
566C2×C4—48no—
567C2×C4—2848no—
568C2×C4—2848no—
569C2×C4—714no—
570C2×C4—714no—
571C2×C4—714no—
572C2×C4—1424no—
573C2×C4—1424no—
574C2×C4—1424no—
575C2×C4—1424no—
576C2×C4—1424no—
577C2×C4—1424no—
578C2×C4—1422no—
579C2×C4—1422no—
580C2×C4—1422no—
581C2×C4—1422no—
582C2×C4—1422no—
583C2×C4—1422no—
584C2×C4—1428no—
585C2×C4—1428no—
586C2×C4—1428no—
587C2×C4—14232no—
588C2×C4C4×C22⋊D71116yes—
589C2×C4C22×C4×D7114yes—
590C2×C4C22×C4×D7114yes—
591C2×C4C22×C22⋊D7118yes—
592C2×C4C22×C22⋊D7114yes—
593C2×C4C2×#1176586514yes—
594C22—232no—
595C22—24no—
596C22—24no—
597C22—24no—
598C22—24no—
599C22—24no—
600C22—24no—
601C22—28416no—
602C22—2842no—
603C22—2842no—
604C22—2842no—
605C22—2842no—
606C22—1424no—
607C22—1424no—
608C22—1424no—
609C22C2×#1455608614yes—
610C22C2×#1455608618yescomplemented
611C22C2×C4×C22⋊D7114yes—
612C22#1798648014yes—
613C22#1798664314yes—
614C22#1798666014yes—
615C22#1798668414yes—
616C22#1798669714yes—
617C22C23×C4×D7111yescharacteristic
618C22C23×C22⋊D7111yescharacteristic
619C22C22×#1176586411yescharacteristic
620C22C22×#1176586511yescharacteristic
621C22C22×#1176586611yescharacteristic
622C22C2×#1455617311yescharacteristic
623C22C2×#1455617611yescharacteristic
624C4—24no—
625C4—28no—
626C4—44no—
627C4—2844no—
628C4—2844no—
629C4—1424no—
630C4—1424no—
631C4—1424no—
632C4C2×C4×C22⋊D7118yes—
633C2—28no—
634C2—2844no—
635C2#2259126518yesdirect product factor
636C2C22×#1455608611yescharacteristic
637C2C22×C4×C22⋊D7111yescharacteristic
638C2C2×#1798648011yescharacteristic
639C2C2×#1798664311yescharacteristic
640C2C2×#1798666011yescharacteristic
641C2C2×#1798668411yescharacteristic
642C2C2×#1798669711yescharacteristic
subgroupG/H
centerC24C23×D71
commutatorC22×C71C24×C4
FrattiniC23C24×D71
FittingC23×C4⋊C4×C71C2
socleC24×C71C24
prime radicalC23×C22⋊D71C22
cosocleC23×C71C25
hypercenterC23×C4⋊C4D71
hypocenterC71C2×#2352
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C24 ◁ C23×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C22×#14556086C2semidirect
3. #22591265C2direct (N × H)
4. C2×#17985889C2semidirect
5. C2×#17985880C2semidirect
7. C2×#17985864C2semidirect
8. C2×#17985859C2semidirect
9. C2×#17985856C2semidirect
10. C2×C4⋊C4×Dic71C2semidirect
11. C2×C4×C22⋊Dic71C2semidirect
12. C23×C4⋊C4×C71C2semidirect
15. C2×C4×C22⋊D71C4semidirect
18. C2×#14556086C22semidirect
30. #17985889C22semidirect
31. #17985880C22semidirect
33. #17985864C22semidirect
34. #17985859C22semidirect
35. #17985856C22semidirect
36. C4⋊C4×Dic71C22semidirect
37. C4×C22⋊Dic71C22semidirect
49. C22×C4⋊C4×C71C22semidirect
62. C22×C4×D71C2×C4semidirect
64. C4×C22⋊D71C2×C4semidirect
70. C2×Dic71⋊C4C2×C4semidirect
78. C2×(C2×D71)⋊C4C2×C4semidirect
84. C2×C4×Dic71C2×C4semidirect
109. C2×C4⋊C4×C71D4semidirect
148. C2×C4×D71C22×C4semidirect
151. Dic71⋊C4C22×C4semidirect
156. (C2×D71)⋊C4C22×C4semidirect
159. C4×Dic71C22×C4semidirect
195. C4⋊C4×C71C2×D4semidirect
206. C23×C71#117semidirect
280. C22×C71C2×#117semidirect
313. C2×C71#2352semidirect
324. C23×C4⋊C4D71semidirect
334. C71C2×#2352semidirect
350. C22×C4⋊C4C2×D71semidirect
410. C2×C4⋊C4C22⋊D71semidirect
509. C4⋊C4C2×C22⋊D71semidirect
542. C23#14556086semidirect
610. C22C2×#14556086semidirect
635. C2#22591265direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×C22⋊D712
C22×#145560862
#225912652
C2×#179858892
C2×#179858802
C2×#179858782
C2×#179858642
C2×#179858592
C2×#179858562
C2×C4⋊C4×Dic712
C2×C4×C22⋊Dic712
C23×C4⋊C4×C712
C2×#235271