Finite Group Databasebeta

← C4×#17986727 #32157446

Subgroups — C4×#17986727 #32157446

Order 18176.

2220 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986727C211yesmaximal, characteristic
2#22591437C214yesmaximal
3#22591434C212yesmaximal
4#22591398C211yesmaximal, characteristic
5#22591394C212yesmaximal
6#22591297C211yesmaximal, characteristic
7#22591293C212yesmaximal
8#22591260C212yesmaximal
9C4⋊C4×Dic142C211yesmaximal, characteristic
10C4×#14556128C211yesmaximal, characteristic
11C4×#14556126C212yesmaximal
12C4×#14556120C212yesmaximal
13C4×#14556118C214yesmaximal
14C42×Dic142C212yesmaximal
15C42×Dic142C211yesmaximal, characteristic
16C4×#14556093C212yesmaximal
17C42×Q8×C71C211yesmaximal, characteristic
18#17986727C4116yesdirect product factor
19C2×#14556128C2211yescharacteristic
20C2×#14556126C2212yes—
21C2×#14556120C2212yes—
22C2×#14556118C2214yes—
23C2×C4×Dic142C2212yes—
24C2×C4×Dic142C2211yescharacteristic
25C2×C4×Dic142C2212yes—
26C2×C4×Dic142C2211yescharacteristic
27C2×C4×Dic142C2212yes—
28C2×C4×Dic142C2211yescharacteristic
29C2×#14556093C2212yes—
30C2×#14556093C2212yes—
31#17985906C2212yes—
32#17985905C2212yes—
33#17985904C2212yes—
34#17985897C2212yes—
35#17985897C2212yes—
36#17985897C2212yes—
37#17985897C2212yes—
38#17985896C2214yes—
39#17985894C2214yes—
40#17985894C2214yes—
41#17985894C2214yes—
42#17985885C2214yes—
43#17985884C2214yes—
44#17985883C2214yes—
45#17985883C2214yes—
46#17985881C2214yes—
47#17985880C2214yes—
48#17985869C2211yescharacteristic
49#17985868C2212yes—
50#17985865C2212yes—
51#17985863C2214yes—
52C4⋊C4×Dic71C2212yes—
53C4⋊C4×Dic71C2212yes—
54C4×Dic71⋊C4C2212yes—
55C4×Dic71⋊C4C2214yes—
56C4×Dic71⋊C4C2214yes—
57C4×Dic71⋊C4C2212yes—
58C4×Dic71⋊C4C2214yes—
59C4×Dic71⋊C4C2214yes—
60C4×Dic71⋊C4C2214yes—
61C4×Dic71⋊C4C2212yes—
62C4×C4⋊Dic71C2211yescharacteristic
63C4×C4⋊Dic71C2212yes—
64C4×C4⋊Dic71C2212yes—
65C4×C4⋊Dic71C2212yes—
66C4×C4⋊Dic71C2211yescharacteristic
67C4×C4⋊Dic71C2212yes—
68C4×C4⋊Dic71C2211yescharacteristic
69#17985850C2214yes—
70#17985850C2214yes—
71C42×Dic71C2214yes—
72C42×Dic71C2212yes—
73C2×C4×Q8×C71C2211yescharacteristic
74C2×C4×Q8×C71C2211yescharacteristic
75C2×C4×Q8×C71C2211yescharacteristic
76C4×C4⋊C4×C71C2211yescharacteristic
77C4×C4⋊C4×C71C2212yes—
78C4×C4⋊C4×C71C2211yescharacteristic
79C4×C4⋊C4×C71C2212yes—
80C4×C4⋊C4×C71C2212yes—
81C4×C4⋊C4×C71C2211yescharacteristic
82C43×C71C2212yes—
83C43×C71C2211yescharacteristic
84C22×Dic142C2312yes—
85C22×Dic142C2311yescharacteristic
86#14556128C2×C418yes—
87#14556126C2×C4116yes—
88#14556120C2×C4116yes—
89#14556118C2×C4132yes—
90C4×Dic142—28no—
91C4×Dic142—24no—
92C4×Dic142—28no—
93C4×Dic142C2×C4116yes—
94C4×Dic142C2×C418yes—
95C4×Dic142Q818yescomplemented
96#14556093—28no—
97#14556093C2×C4116yes—
98C2×C4⋊Dic71C2311yescharacteristic
99C2×C4⋊Dic71C2312yes—
100C2×C4⋊Dic71C2312yes—
101C2×C4⋊Dic71C2312yes—
102C2×C4⋊Dic71C2311yescharacteristic
103C2×C4⋊Dic71C2312yes—
104C2×C4⋊Dic71C2312yes—
105C2×C4⋊Dic71C2311yescharacteristic
106C2×Dic71⋊C4C2314yes—
107C2×Dic71⋊C4C2314yes—
108C2×Dic71⋊C4C2312yes—
109C2×Dic71⋊C4C2314yes—
110C2×Dic71⋊C4C2314yes—
111C2×Dic71⋊C4C2314yes—
112C2×Dic71⋊C4C2314yes—
113C2×Dic71⋊C4C2312yes—
114C2×Dic71⋊C4C2314yes—
115C2×Dic71⋊C4C2312yes—
116C2×C4×Dic71C2312yes—
117C2×C4×Dic71C2314yes—
118C2×C4×Dic71C2314yes—
119C2×C4×Dic71C2314yes—
120C2×C4×Dic71C2312yes—
121C2×C4×Dic71C2312yes—
122C2×C4×Dic71C2312yes—
123C2×C4×Dic71C2314yes—
124C2×C4×Dic71C2314yes—
125C2×C4×Dic71C2312yes—
126C2×C4×Dic71C2312yes—
127C71⋊#95C2314yes—
128C71⋊#95C2314yes—
129C71⋊#95C2312yes—
130C71⋊#95C2314yes—
131C71⋊#95C2314yes—
132C71⋊#95C2312yes—
133C71⋊#95C2314yes—
134C71⋊#95C2312yes—
135C71⋊#95C2314yes—
136C71⋊#95C2314yes—
137C71⋊#95C2314yes—
138C22×Q8×C71C2311yescharacteristic
139C4×Q8×C71—24no—
140C4×Q8×C71—24no—
141C4×Q8×C71C2×C418yes—
142C2×C4⋊C4×C71C2311yescharacteristic
143C2×C4⋊C4×C71C2312yes—
144C2×C4⋊C4×C71C2312yes—
145C2×C4⋊C4×C71C2311yescharacteristic
146C2×C4⋊C4×C71C2312yes—
147C2×C4⋊C4×C71C2311yescharacteristic
148C2×C42×C71C2312yes—
149C2×C42×C71C2311yescharacteristic
150C2×C42×C71C2311yescharacteristic
151C2×C42×C71C2312yes—
152C2×C42×C71C2312yes—
153C2×C42×C71C2312yes—
154C2×C42×C71C2311yescharacteristic
155C2×C42×C71C2312yes—
156C2×C42×C71C2311yescharacteristic
157C2×C42×C71C2312yes—
158C2×C42×C71C2311yescharacteristic
159C2×C42×C71C2311yescharacteristic
160C2×C42×C71C2311yescharacteristic
161#95×C71C2312yes—
162#95×C71C2312yes—
163#95×C71C2312yes—
164C2×Dic142—24no—
165C2×Dic142—24no—
166C2×Dic142C22×C418yes—
167C2×Dic142C22×C414yes—
168C2×Dic142C2×Q814yes—
169C2×Dic142#4114yes—
170C22×Dic71C2412yes—
171C22×Dic71C2414yes—
172C22×Dic71C2414yes—
173C22×Dic71C2412yes—
174C22×Dic71C2412yes—
175C22×Dic71C2412yes—
176C4⋊Dic71—22no—
177C4⋊Dic71—24no—
178C4⋊Dic71—24no—
179C4⋊Dic71—42no—
180C4⋊Dic71C22×C414yes—
181C4⋊Dic71C22×C418yes—
182C4⋊Dic71C22×C418yes—
183C4⋊Dic71C2×Q814yes—
184Dic71⋊C4—28no—
185Dic71⋊C4—28no—
186Dic71⋊C4—24no—
187Dic71⋊C4—28no—
188Dic71⋊C4—44no—
189Dic71⋊C4C22×C4116yes—
190Dic71⋊C4C22×C418yes—
191Dic71⋊C4C22×C4116yes—
192Dic71⋊C4C22×C4116yes—
193Dic71⋊C4C2×Q818yes—
194C4×Dic71—28no—
195C4×Dic71—24no—
196C4×Dic71—28no—
197C4×Dic71—24no—
198C4×Dic71—24no—
199C4×Dic71—28no—
200C4×Dic71—42no—
201C4×Dic71—44no—
202C4×Dic71C22×C4116yes—
203C4×Dic71C22×C418yes—
204C4×Dic71C2×Q818yes—
205C2×Q8×C71—22no—
206C2×Q8×C71—22no—
207C2×Q8×C71C22×C414yes—
208C22×C4×C71C2411yescharacteristic
209C22×C4×C71C2412yes—
210C22×C4×C71C2412yes—
211C22×C4×C71C2411yescharacteristic
212C22×C4×C71C2412yes—
213C22×C4×C71C2411yescharacteristic
214C22×C4×C71C2412yes—
215C22×C4×C71C2411yescharacteristic
216C22×C4×C71C2411yescharacteristic
217C22×C4×C71C2411yescharacteristic
218C22×C4×C71C2411yescharacteristic
219C4⋊C4×C71—24no—
220C4⋊C4×C71—24no—
221C4⋊C4×C71—22no—
222C4⋊C4×C71C22×C414yes—
223C4⋊C4×C71C22×C418yes—
224C4⋊C4×C71#4114yes—
225C42×C71—24no—
226C42×C71—22no—
227C42×C71—24no—
228C42×C71—22no—
229C42×C71—24no—
230C42×C71—24no—
231C42×C71—22no—
232C42×C71—41no—
233C42×C71—42no—
234C42×C71C22×C418yes—
235C42×C71C22×C414yes—
236C42×C71C2×Q814yes—
237C42×C71#4114yes—
238C23×C71C2511yescharacteristic
239Q8×C71—28no—
240C2×C4×C71—21no—
241C2×C4×C71—22no—
242C2×C4×C71—22no—
243C2×C4×C71—21no—
244C2×C4×C71—22no—
245C2×C4×C71—22no—
246C2×C4×C71—21no—
247C2×C4×C71—22no—
248C2×C4×C71—21no—
249C2×C4×C71—22no—
250C2×C4×C71—21no—
251C2×C4×C71—21no—
252C2×C4×C71—22no—
253C2×C4×C71—21no—
254C2×C4×C71—22no—
255C2×C4×C71—21no—
256C2×C4×C71—21no—
257C2×C4×C71—22no—
258C2×C4×C71C23×C414yes—
259C2×C4×C71C23×C412yes—
260C2×C4×C71C23×C414yes—
261C2×C4×C71C23×C412yes—
262C2×C4×C71C23×C412yes—
263C2×C4×C71C22×Q812yes—
264C2×C4×C71C22×Q812yes—
265C2×C4×C71C22×Q812yes—
266C2×C4×C71C2×#4112yes—
267C2×C4×C71C2×#4114yes—
268C2×C4×C71C2×#4112yes—
269C2×C4×C71C2×#4112yes—
270C2×C4×C71C2×#4112yes—
271C2×C4×C71C2×#4112yes—
272C2×C4×C712−1+412yes—
273C2×Dic71—22no—
274C2×Dic71—24no—
275C2×Dic71—24no—
276C2×Dic71—22no—
277C2×Dic71—22no—
278C2×Dic71—22no—
279C2×Dic71—22no—
280C2×Dic71—24no—
281C2×Dic71—22no—
282C2×Dic71—24no—
283C2×Dic71—22no—
284C2×Dic71—24no—
285C2×Dic71C23×C414yes—
286C2×Dic71C23×C418yes—
287C2×Dic71C23×C414yes—
288C2×Dic71C22×Q814yes—
289C2×Dic71C22×Q814yes—
290C2×Dic71C2×#4114yes—
291Dic142—216no—
292Dic142C4×Q8116yescomplemented
293C22×C71C24×C411yescharacteristic
294C22×C71C23×Q811yescharacteristic
295C22×C71C22×#4111yescharacteristic
296C22×C71C22×#4111yescharacteristic
297C22×C71C22×#4111yescharacteristic
298C22×C71C2×2−1+411yescharacteristic
299C22×C71#58511yescharacteristic
300C4×C71—24no—
301C4×C71—24no—
302C4×C71—22no—
303C4×C71—22no—
304C4×C71—22no—
305C4×C71—24no—
306C4×C71—42no—
307C4×C71—41no—
308C4×C71C2×C4×Q814yes—
309C4×C71C4×#4114yes—
310C4×C71#55714yescomplemented
311Dic71—28no—
312Dic71—24no—
313Dic71—24no—
314Dic71—44no—
315Dic71—42no—
316Dic71C2×C4×Q818yes—
317C4×#557—711nomaximal, Sylow
318C2×C71C22×C4×Q811yescharacteristic
319C2×C71C2×C4×#4111yescharacteristic
320C2×C71C4×2−1+411yescharacteristic
321C2×C71C2×#55711yescharacteristic
322C2×C71Q8×#4111yescharacteristic
323C2×C71#348011yescharacteristic
324C2×C71#348211yescharacteristic
325C2×#557—711no—
326#2370—712no—
327#2370—714no—
328#2365—711no—
329#2365—712no—
330#2355—712no—
331#2355—711no—
332#2351—712no—
333Q8×C4⋊C4—711no—
334C4×C4⋊Q8—711no—
335C4×C4⋊Q8—712no—
336C4×#125—714no—
337C4×#125—712no—
338C42×Q8—712no—
339C42×Q8—711no—
340C42×Q8—712no—
341C42×Q8D7111yescharacteristic
342C71C4×#55711yescharacteristic, complemented, Sylow
343#557—7116no—
344C2×C4⋊Q8—712no—
345C2×C4⋊Q8—711no—
346C2×#125—714no—
347C2×#125—712no—
348C2×C4×Q8—712no—
349C2×C4×Q8—712no—
350C2×C4×Q8—711no—
351C2×C4×Q8—712no—
352C2×C4×Q8—711no—
353C2×C4×Q8—712no—
354C2×C4×Q8—712no—
355C2×C4×Q8—711no—
356C2×C4×Q8C2×D7111yescharacteristic
357C2×C4×Q8C2×D7111yescharacteristic
358C2×C4×Q8C2×D7111yescharacteristic
359#391—712no—
360#391—712no—
361#391—712no—
362#389—714no—
363#389—714no—
364#389—714no—
365#389—712no—
366#389—712no—
367#389—712no—
368#389—712no—
369#389—714no—
370#387—714no—
371#387—714no—
372#387—714no—
373#387—714no—
374#387—714no—
375#387—714no—
376#384—712no—
377#384—711no—
378#382—712no—
379#382—714no—
380C4×C4⋊C4—712no—
381C4×C4⋊C4—712no—
382C4×C4⋊C4—712no—
383C4×C4⋊C4—714no—
384C4×C4⋊C4—711no—
385C4×C4⋊C4—714no—
386C4×C4⋊C4—712no—
387C4×C4⋊C4—712no—
388C4×C4⋊C4—714no—
389C4×C4⋊C4—711no—
390C4×C4⋊C4—712no—
391C4×C4⋊C4—712no—
392C4×C4⋊C4—714no—
393C4×C4⋊C4—712no—
394C4×C4⋊C4—711no—
395C4×C4⋊C4—714no—
396C4×C4⋊C4—712no—
397C4×C4⋊C4—714no—
398C4×C4⋊C4—714no—
399C4×C4⋊C4C2×D7112yes—
400C4×C4⋊C4C2×D7111yescharacteristic
401C4×C4⋊C4C2×D7112yes—
402C4×C4⋊C4C2×D7111yescharacteristic
403C4×C4⋊C4C2×D7112yes—
404C4×C4⋊C4C2×D7111yescharacteristic
405C43—714no—
406C43—712no—
407C43C2×D7112yes—
408C43C2×D7111yescharacteristic
409C22×Q8—711no—
410C22×Q8—712no—
411C22×Q8C22×D7111yescharacteristic
412C4⋊Q8—7116no—
413C4⋊Q8—718no—
414#125—7132no—
415#125—7116no—
416C4×Q8—24no—
417C4×Q8—24no—
418C4×Q8—7116no—
419C4×Q8—7116no—
420C4×Q8—718no—
421C4×Q8—718no—
422C4×Q8—1428no—
423C4×Q8—1424no—
424C4×Q8—1428no—
425C4×Q8—1428no—
426C4×Q8C4×D7118yes—
427C2×C4⋊C4—714no—
428C2×C4⋊C4—712no—
429C2×C4⋊C4—714no—
430C2×C4⋊C4—712no—
431C2×C4⋊C4—711no—
432C2×C4⋊C4—714no—
433C2×C4⋊C4—712no—
434C2×C4⋊C4—712no—
435C2×C4⋊C4—711no—
436C2×C4⋊C4—714no—
437C2×C4⋊C4—712no—
438C2×C4⋊C4—712no—
439C2×C4⋊C4—711no—
440C2×C4⋊C4—714no—
441C2×C4⋊C4—712no—
442C2×C4⋊C4—712no—
443C2×C4⋊C4—714no—
444C2×C4⋊C4—714no—
445C2×C4⋊C4C22×D7111yescharacteristic
446C2×C4⋊C4C22×D7112yes—
447C2×C4⋊C4C22×D7112yes—
448C2×C4⋊C4C22×D7111yescharacteristic
449C2×C4⋊C4C22×D7112yes—
450C2×C4⋊C4C22×D7111yescharacteristic
451C2×C42—714no—
452C2×C42—712no—
453C2×C42—714no—
454C2×C42—712no—
455C2×C42—712no—
456C2×C42—714no—
457C2×C42—712no—
458C2×C42—714no—
459C2×C42—712no—
460C2×C42—714no—
461C2×C42—712no—
462C2×C42C22×D7111yescharacteristic
463C2×C42C22×D7112yes—
464C2×C42C22×D7112yes—
465C2×C42C22×D7111yescharacteristic
466C2×C42C22×D7112yes—
467C2×C42C22×D7112yes—
468C2×C42C22×D7111yescharacteristic
469C2×C42C22×D7112yes—
470C2×C42C22×D7111yescharacteristic
471C2×C42C22×D7112yes—
472C2×C42C22×D7111yescharacteristic
473C2×C42C22×D7111yescharacteristic
474C2×C42C22×D7111yescharacteristic
475#95—714no—
476#95—712no—
477#95—712no—
478#95—712no—
479#95—714no—
480#95—714no—
481#95—714no—
482#95—714no—
483#95—714no—
484#95—714no—
485#95—714no—
486#95C22×D7112yes—
487#95C22×D7112yes—
488#95C22×D7112yes—
489C2×Q8—22no—
490C2×Q8—22no—
491C2×Q8—714no—
492C2×Q8—718no—
493C2×Q8—714no—
494C2×Q8—714no—
495C2×Q8—1424no—
496C2×Q8—1424no—
497C2×Q8C2×C4×D7114yes—
498C22×C4—712no—
499C22×C4—712no—
500C22×C4—712no—
501C22×C4—714no—
502C22×C4—712no—
503C22×C4—714no—
504C22×C4C23×D7111yescharacteristic
505C22×C4C23×D7112yes—
506C22×C4C23×D7112yes—
507C22×C4C23×D7112yes—
508C22×C4C23×D7111yescharacteristic
509C22×C4C23×D7111yescharacteristic
510C22×C4C23×D7112yes—
511C22×C4C23×D7111yescharacteristic
512C22×C4C23×D7111yescharacteristic
513C22×C4C23×D7111yescharacteristic
514C22×C4C23×D7111yescharacteristic
515C4⋊C4—24no—
516C4⋊C4—24no—
517C4⋊C4—22no—
518C4⋊C4—2844no—
519C4⋊C4—2842no—
520C4⋊C4—718no—
521C4⋊C4—7116no—
522C4⋊C4—7116no—
523C4⋊C4—7116no—
524C4⋊C4—714no—
525C4⋊C4—718no—
526C4⋊C4—718no—
527C4⋊C4—718no—
528C4⋊C4—714no—
529C4⋊C4—1424no—
530C4⋊C4—1428no—
531C4⋊C4—1422no—
532C4⋊C4—1424no—
533C4⋊C4—1428no—
534C4⋊C4—1428no—
535C4⋊C4—1424no—
536C4⋊C4C2×C4×D7114yes—
537C4⋊C4C2×C4×D7118yes—
538C4⋊C4#1176586514yes—
539C42—22no—
540C42—24no—
541C42—24no—
542C42—22no—
543C42—24no—
544C42—24no—
545C42—22no—
546C42—41no—
547C42—42no—
548C42—2844no—
549C42—2842no—
550C42—7116no—
551C42—718no—
552C42—718no—
553C42—1424no—
554C42—1428no—
555C42—1424no—
556C42—1428no—
557C42—1428no—
558C42—1424no—
559C42C2×C4×D7118yes—
560C42C2×C4×D7114yes—
561C42Q8×D7114yes—
562C42#1176586514yes—
563C23C24×D7111yescharacteristic
564Q8—28no—
565Q8—7116no—
566Q8—14216no—
567C2×C4—21no—
568C2×C4—22no—
569C2×C4—21no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—21no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—22no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—22no—
580C2×C4—21no—
581C2×C4—22no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—22no—
585C2×C4—714no—
586C2×C4—714no—
587C2×C4—714no—
588C2×C4—714no—
589C2×C4—718no—
590C2×C4—714no—
591C2×C4—1424no—
592C2×C4—1422no—
593C2×C4—1424no—
594C2×C4—1422no—
595C2×C4—1422no—
596C2×C4—1424no—
597C2×C4—1422no—
598C2×C4—1424no—
599C2×C4—1424no—
600C2×C4—1422no—
601C2×C4—1422no—
602C2×C4—1422no—
603C2×C4C22×C4×D7114yes—
604C2×C4C22×C4×D7112yes—
605C2×C4C22×C4×D7114yes—
606C2×C4C22×C4×D7112yes—
607C2×C4C22×C4×D7112yes—
608C2×C4C2×Q8×D7112yes—
609C2×C4C2×Q8×D7112yes—
610C2×C4C2×Q8×D7112yes—
611C2×C4#41×D7112yes—
612C2×C4C2×#1176586514yes—
613C2×C4C2×#1176586512yes—
614C2×C4C2×#1176586512yes—
615C2×C4C2×#1176586512yes—
616C2×C4C2×#1176586512yes—
617C2×C4#1455617512yes—
618C22C23×C4×D7111yescharacteristic
619C22C22×Q8×D7111yescharacteristic
620C22C2×#41×D7111yescharacteristic
621C22C22×#1176586511yescharacteristic
622C22C22×#1176586511yescharacteristic
623C22C2×#1455617511yescharacteristic
624C22#1798683511yescharacteristic
625C4—24no—
626C4—24no—
627C4—22no—
628C4—22no—
629C4—22no—
630C4—24no—
631C4—42no—
632C4—41no—
633C4—2844no—
634C4—2842no—
635C4—718no—
636C4—1428no—
637C4—1424no—
638C4—1424no—
639C4C4×Q8×D7114yes—
640C4C4×#1176586514yes—
641C4#1798672714yesdirect product factor
642C2C2×C4×Q8×D7111yescharacteristic
643C2C2×C4×#1176586511yescharacteristic
644C2C4×#1455617511yescharacteristic
645C2C2×#1798672711yescharacteristic
646C2Q8×#1176586511yescharacteristic
647C2#2260193311yescharacteristic
648C2#2260195511yescharacteristic
subgroupG/H
centerC22×C4C23×D71
commutatorC22×C71C24×C4
FrattiniC23C24×D71
FittingC42×Q8×C71C2
socle, prime radical, cosocleC23×C71C25
hypercenterC42×Q8D71
hypocenterC71C4×#557
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C22×C4 ◁ C42×Q8

Complements

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

NH ≅ G/Ntype
18. #17986727C4direct (N × H)
95. C4×Dic142Q8semidirect
292. Dic142C4×Q8semidirect
310. C4×C71#557semidirect
342. C71C4×#557semidirect
641. C4#17986727direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#179867272
#225914372
#225914342
#225913982
#225913942
#225912972
#225912932
#225912602
C4⋊C4×Dic1422
C4×#145561282
C4×#145561262
C4×#145561202
C4×#145561182
C42×Dic1422
C4×#145560932
C42×Q8×C712
C4×#55771