Finite Group Databasebeta

← #34332204

Subgroups — #34332204

Order 20224.

940 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19098719C211yesmaximal, characteristic
2C2×C4×#11929614C211yesmaximal, characteristic, complemented
3#23766925C211yesmaximal, characteristic
4#23764938C211yesmaximal, characteristic, complemented
5#23764831C211yesmaximal, characteristic
6#23764722C211yesmaximal, characteristic, complemented
7#23764603C211yesmaximal, characteristic
8#23764079C211yesmaximal, characteristic, complemented
9#23764008C211yesmaximal, characteristic
10#23763744C211yesmaximal, characteristic, complemented
11#23763741C211yesmaximal, characteristic, complemented
12#23763654C211yesmaximal, characteristic, complemented
13#23763405C211yesmaximal, characteristic, complemented
14#23763335C211yesmaximal, characteristic
15Q8×C22⋊C4×C79C211yesmaximal, characteristic
16C22×#11929614C2211yescharacteristic
17C22×#11929614C2211yescharacteristic
18C2×#14579140C2211yescharacteristic
19C2×C4×Dic158C2211yescharacteristic
20#19098719—24no—
21C4×#11929614—24no—
22C2×#14579094C2211yescharacteristic
23C2×#14579094C2211yescharacteristic
24C2×C4⋊(C79⋊C8)C2211yescharacteristic
25C2×#14579085C2211yescharacteristic
26C2×#14579085C2211yescharacteristic
27C2×#14579085C2211yescharacteristic
28C2×#14579085C2211yescharacteristic
29C2×#14579085C2211yescharacteristic
30C2×#14579085C2211yescharacteristic
31C2×#14579084C2211yescharacteristic
32C2×#14579084C2211yescharacteristic
33C2×C22⋊(C79⋊C8)C2211yescharacteristic
34C2×C22⋊(C79⋊C8)C2211yescharacteristic
35C2×C4×C79⋊C8C2211yescharacteristic
36#19098499—21no—
37#19098497—21no—
38#19098469C2211yescharacteristic
39#19098461C2211yescharacteristic
40#19098456—21no—
41#19098446—21no—
42#19098433C2211yescharacteristic
43#19098423C2211yescharacteristic
44#19098325C2211yescharacteristic
45#19098325C2211yescharacteristic
46#19098325C2211yescharacteristic
47#19098325C2211yescharacteristic
48#19098318C2211yescharacteristic
49#19098318C2211yescharacteristic
50C23×Q8×C79C2211yescharacteristic
51C2×C4×Q8×C79C2211yescharacteristic
52C2×C4×Q8×C79C2211yescharacteristic
53#391×C79—21no—
54#391×C79—21no—
55#391×C79C2211yescharacteristic
56#391×C79C2211yescharacteristic
57#380×C79—21no—
58#380×C79C2211yescharacteristic
59C4×C22⋊C4×C79—21no—
60C4×C22⋊C4×C79C2211yescharacteristic
61C22×Dic158C2311yescharacteristic
62C2×#11929614—22no—
63C2×#11929614—22no—
64C2×#11929614—22no—
65C2×#11929614—22no—
66C2×#11929614—41no—
67C2×#11929614D414yes—
68C22×C79⋊C8C2311yescharacteristic
69C22×C79⋊C8C2311yescharacteristic
70C22×C79⋊C8C2311yescharacteristic
71C22×C79⋊C8C2311yescharacteristic
72#14579140—22no—
73#14579140—41no—
74C4×Dic158—22no—
75C4×Dic158—41no—
76C2×C4⋊Dic79—21no—
77C2×C4⋊Dic79—21no—
78C2×C4⋊Dic79C2311yescharacteristic
79C2×C4⋊Dic79C2311yescharacteristic
80C2×C4⋊Dic79C2311yescharacteristic
81C2×Dic79⋊C4—21no—
82C2×Dic79⋊C4—21no—
83C2×Dic79⋊C4—21no—
84C2×C22⋊Dic79—21no—
85C2×C22⋊Dic79—21no—
86C2×C4×Dic79—21no—
87#14579094—22no—
88#14579094—41no—
89C4⋊(C79⋊C8)—41no—
90#14579085—22no—
91#14579085—22no—
92#14579085—22no—
93#14579085—22no—
94#14579085—22no—
95#14579085—41no—
96#14579084—22no—
97#14579084—41no—
98C22⋊(C79⋊C8)—22no—
99C22⋊(C79⋊C8)—41no—
100C4×C79⋊C8—22no—
101C79⋊#95—21no—
102C79⋊#95—21no—
103C79⋊#95—21no—
104C79⋊#95—21no—
105C22×Q8×C79—22no—
106C22×Q8×C79—22no—
107C22×Q8×C79—21no—
108C22×Q8×C79—22no—
109C22×Q8×C79—22no—
110C22×Q8×C79—41no—
111C22×Q8×C79—41no—
112C22×Q8×C79C2311yescharacteristic
113C22×Q8×C79C2311yescharacteristic
114C23×C4×C79—21no—
115C23×C4×C79C2311yescharacteristic
116C4×Q8×C79—22no—
117C4×Q8×C79—22no—
118C4×Q8×C79—41no—
119C4×Q8×C79—41no—
120C2×C4⋊C4×C79—21no—
121C2×C4⋊C4×C79—21no—
122C2×C4⋊C4×C79C2311yescharacteristic
123C2×C4⋊C4×C79C2311yescharacteristic
124C2×C22⋊C4×C79—21no—
125C2×C22⋊C4×C79D411yescharacteristic
126C2×C22⋊C4×C79D411yescharacteristic
127C2×C42×C79—21no—
128C2×C42×C79—21no—
129C2×C42×C79C2311yescharacteristic
130C2×C42×C79C2311yescharacteristic
131#95×C79—21no—
132#95×C79—21no—
133#95×C79—21no—
134#95×C79—21no—
135#95×C79—21no—
136#95×C79D411yescharacteristic
137#95×C79D411yescharacteristic
138C2×Dic158—21no—
139C2×Dic158—21no—
140C2×Dic158—21no—
141C2×Dic158—21no—
142C2×Dic158—21no—
143C2×Dic158C2×D412yes—
144C22×Dic79—21no—
145C22×Dic79—21no—
146C22×Dic79—21no—
147C22×Dic79—21no—
148#11929614—28no—
149#11929614—44no—
150C2×C79⋊C8—21no—
151C2×C79⋊C8—21no—
152C2×C79⋊C8—21no—
153C2×C79⋊C8—21no—
154C2×C79⋊C8—21no—
155C2×C79⋊C8—21no—
156C2×C79⋊C8—21no—
157C2×C79⋊C8—21no—
158C2×C79⋊C8—21no—
159C2×C79⋊C8—21no—
160C2×C79⋊C8—21no—
161C2×C79⋊C8C2×D412yes—
162C4⋊Dic79—21no—
163C4⋊Dic79—21no—
164C4⋊Dic79—21no—
165C4⋊Dic79—21no—
166C4⋊Dic79—21no—
167C4⋊Dic79—21no—
168C4⋊Dic79—42no—
169C4⋊Dic79—81no—
170Dic79⋊C4—42no—
171Dic79⋊C4—42no—
172Dic79⋊C4—81no—
173C22⋊Dic79—42no—
174C22⋊Dic79—81no—
175C4×Dic79—42no—
176C24×C79C2×D411yescharacteristic
177C2×Q8×C79—24no—
178C2×Q8×C79—21no—
179C2×Q8×C79—21no—
180C2×Q8×C79—21no—
181C2×Q8×C79—21no—
182C2×Q8×C79—21no—
183C2×Q8×C79—21no—
184C2×Q8×C79—21no—
185C2×Q8×C79—21no—
186C2×Q8×C79—42no—
187C2×Q8×C79—42no—
188C2×Q8×C79—44no—
189C2×Q8×C79—44no—
190C2×Q8×C79—44no—
191C2×Q8×C79—44no—
192C2×Q8×C79C2×D412yes—
193C2×Q8×C79#4112yes—
194C2×Q8×C79#4112yes—
195C2×Q8×C79#4112yes—
196C22×C4×C79—21no—
197C22×C4×C79—24no—
198C22×C4×C79—21no—
199C22×C4×C79—21no—
200C22×C4×C79—21no—
201C22×C4×C79—21no—
202C22×C4×C79—21no—
203C22×C4×C79—21no—
204C22×C4×C79—21no—
205C22×C4×C79—21no—
206C22×C4×C79—21no—
207C22×C4×C79—42no—
208C22×C4×C79—42no—
209C22×C4×C79C2×D411yescharacteristic
210C22×C4×C79C2×D411yescharacteristic
211C22×C4×C79C2×D411yescharacteristic
212C22×C4×C79C2×D411yescharacteristic
213C22×C4×C79C2×D411yescharacteristic
214C22×C4×C79C2411yescharacteristic
215C4⋊C4×C79—21no—
216C4⋊C4×C79—21no—
217C4⋊C4×C79—21no—
218C4⋊C4×C79—21no—
219C4⋊C4×C79—42no—
220C4⋊C4×C79—42no—
221C22⋊C4×C79—41no—
222C22⋊C4×C79—42no—
223C22⋊C4×C79Q1614yescomplemented
224C42×C79—21no—
225C42×C79—21no—
226C42×C79—21no—
227C42×C79—21no—
228C42×C79—42no—
229C42×C79—42no—
230C23×C79—21no—
231C23×C79—21no—
232C23×C79—21no—
233C23×C79—21no—
234C23×C79—21no—
235C23×C79—21no—
236C23×C79C2×Q1612yes—
237C23×C79C22×D411yescharacteristic
238Q8×C79—22no—
239Q8×C79—22no—
240Q8×C79—22no—
241Q8×C79—22no—
242Q8×C79—22no—
243Q8×C79—48no—
244Q8×C79—41no—
245Q8×C79—41no—
246Q8×C79#12314yes—
247C2×C4×C79—22no—
248C2×C4×C79—21no—
249C2×C4×C79—22no—
250C2×C4×C79—21no—
251C2×C4×C79—22no—
252C2×C4×C79—21no—
253C2×C4×C79—21no—
254C2×C4×C79—22no—
255C2×C4×C79—21no—
256C2×C4×C79—21no—
257C2×C4×C79—21no—
258C2×C4×C79—21no—
259C2×C4×C79—21no—
260C2×C4×C79—21no—
261C2×C4×C79—21no—
262C2×C4×C79—21no—
263C2×C4×C79—21no—
264C2×C4×C79—48no—
265C2×C4×C79—41no—
266C2×C4×C79—41no—
267C2×C4×C79—41no—
268C2×C4×C79—41no—
269C2×C4×C79—41no—
270C2×C4×C79—41no—
271C2×C4×C79—41no—
272C2×C4×C79—41no—
273C2×C4×C79—41no—
274C2×C4×C79—41no—
275C2×C4×C79—41no—
276C2×C4×C79—41no—
277C2×C4×C79C2×Q1612yes—
278C2×C4×C79C2×Q1612yes—
279C2×C4×C79C22×D411yescharacteristic
280C2×C4×C79C2×#4111yescharacteristic
281C2×C4×C79C2×#4111yescharacteristic
282C2×C4×C79C2×#4111yescharacteristic
283C2×C4×C79H(5,𝔽2)11yescharacteristic
284C2×C4×C79H(5,𝔽2)11yescharacteristic
285C2×Dic79—22no—
286C2×Dic79—41no—
287C2×Dic79—41no—
288C2×Dic79—41no—
289C2×Dic79—41no—
290C2×Dic79—41no—
291C2×Dic79—41no—
292C2×Dic79—41no—
293C2×Dic79—41no—
294C2×Dic79—41no—
295C2×Dic79—41no—
296C2×Dic79—41no—
297Dic158—22no—
298Dic158—22no—
299Dic158—41no—
300Dic158—41no—
301C79⋊C8—22no—
302C79⋊C8—41no—
303C79⋊C8—41no—
304C79⋊C8—41no—
305C22×C79—22no—
306C22×C79—22no—
307C22×C79—22no—
308C22×C79—41no—
309C22×C79—41no—
310C22×C79—41no—
311C22×C79—41no—
312C22×C79#52511yescharacteristic
313C22×C79D4211yescharacteristic
314C22×C79#54611yescharacteristic
315C22×C79C22×Q1611yescharacteristic
316C22×C79#57511yescharacteristic
317C22×C79#57711yescharacteristic
318C22×C79#57811yescharacteristic
319C4×C79—24no—
320C4×C79—22no—
321C4×C79—22no—
322C4×C79—41no—
323C4×C79—42no—
324C4×C79—41no—
325C4×C79—41no—
326C4×C79—81no—
327C4×C79—81no—
328C4×C79C2×#12311yescharacteristic
329C4×C79#53811yescharacteristic
330C4×C79#54611yescharacteristic
331C4×C79#55111yescharacteristic
332Dic79—42no—
333Dic79—81no—
334Dic79—81no—
335Dic79—81no—
336#24906—791nomaximal, Sylow
337C2×C79—42no—
338C2×C79#241811yescharacteristic
339C2×C79#310411yescharacteristic
340C2×C79#312111yescharacteristic
341C2×C79#327111yescharacteristic
342C2×C79D4×Q1611yescharacteristic
343C2×C79#329911yescharacteristic
344C2×C79#332711yescharacteristic
345C2×#451—791no—
346C2×C4×Q16—791no—
347#2423—791no—
348Q8×C22⋊C4D7911yescharacteristic
349#2095—791no—
350#2076—791no—
351#2056—791no—
352#2036—791no—
353#1933—791no—
354#1923—791no—
355#1878—791no—
356#1878—791no—
357#1863—791no—
358#1803—791no—
359#1787—791no—
360C79#2490611yescharacteristic, complemented, Sylow
361C23×Q8C2×D7911yescharacteristic
362C22×Q16—791no—
363C22×Q16—791no—
364C2×C22⋊Q8—791no—
365C2×C4×Q8—791no—
366C2×C4×Q8C2×D7911yescharacteristic
367C2×C4×Q8C2×D7911yescharacteristic
368#451—1584no—
369C4×Q16—1584no—
370C2×#107—791no—
371C2×#107—791no—
372C2×C4⋊C8—791no—
373C2×#103—791no—
374C2×#103—791no—
375C2×#103—791no—
376C2×#103—791no—
377C2×#103—791no—
378C2×#103—791no—
379C2×#103—791no—
380C2×#103—791no—
381C2×C22⋊C8—791no—
382C2×C22⋊C8—791no—
383C2×C4×C8—791no—
384#399—1581no—
385#398—1581no—
386#391—21no—
387#391—21no—
388#391—791no—
389#391C2×D7911yescharacteristic
390#391C2×D7911yescharacteristic
391#389—791no—
392#388—1581no—
393#387—1581no—
394#384—791no—
395#380—21no—
396#380—791no—
397#380C2×D7911yescharacteristic
398C4×C22⋊C4—21no—
399C4×C22⋊C4C2×D7911yescharacteristic
400#340—791no—
401#340—791no—
402#340—791no—
403#340—791no—
404#336—791no—
405#336—791no—
406C22×Q8—22no—
407C22×Q8—22no—
408C22×Q8—21no—
409C22×Q8—22no—
410C22×Q8—22no—
411C22×Q8—41no—
412C22×Q8—41no—
413C22×Q8—791no—
414C22×Q8C22×D7911yescharacteristic
415C22×Q8C22×D7911yescharacteristic
416C23×C4—21no—
417C23×C4C22×D7911yescharacteristic
418C2×Q16—3161no—
419C2×Q16—794no—
420C2×Q16—1582no—
421C2×Q16—1582no—
422C2×Q16—1582no—
423C2×Q16—1582no—
424C22×C8—791no—
425C22×C8—791no—
426C22×C8—791no—
427C22×C8—791no—
428C22⋊Q8—3161no—
429C22⋊Q8—1582no—
430C4×Q8—22no—
431C4×Q8—22no—
432C4×Q8—41no—
433C4×Q8—41no—
434C4×Q8—3161no—
435C4×Q8—1582no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—791no—
439C2×C4⋊C4—791no—
440C2×C4⋊C4—791no—
441C2×C4⋊C4—1581no—
442C2×C4⋊C4—1581no—
443C2×C4⋊C4—1581no—
444C2×C4⋊C4—1581no—
445C2×C4⋊C4—1581no—
446C2×C4⋊C4C22×D7911yescharacteristic
447C2×C4⋊C4C22×D7911yescharacteristic
448C2×C22⋊C4—21no—
449C2×C22⋊C4—1581no—
450C2×C22⋊C4—1581no—
451C2×C22⋊C4C22⋊D7911yescharacteristic
452C2×C22⋊C4C22⋊D7911yescharacteristic
453C2×C42—21no—
454C2×C42—21no—
455C2×C42—1581no—
456C2×C42C22×D7911yescharacteristic
457C2×C42C22×D7911yescharacteristic
458#107—3161no—
459#107—1582no—
460C4⋊C8—3161no—
461#103—3161no—
462#103—3161no—
463#103—1582no—
464#103—1582no—
465#103—1582no—
466#103—1582no—
467#103—1582no—
468#103—1582no—
469C22⋊C8—3161no—
470C22⋊C8—1582no—
471C4×C8—1582no—
472#95—21no—
473#95—21no—
474#95—21no—
475#95—21no—
476#95—21no—
477#95—1581no—
478#95—1581no—
479#95—1581no—
480#95—1581no—
481#95C22⋊D7911yescharacteristic
482#95C22⋊D7911yescharacteristic
483C24C2×C22⋊D7911yescharacteristic
484C2×Q8—24no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—42no—
494C2×Q8—42no—
495C2×Q8—44no—
496C2×Q8—44no—
497C2×Q8—44no—
498C2×Q8—44no—
499C2×Q8—792no—
500C2×Q8—1581no—
501C2×Q8—1581no—
502C2×Q8—1581no—
503C2×Q8—1581no—
504C2×Q8—1581no—
505C2×Q8D4×D7912yes—
506C2×Q8#1192962312yes—
507C2×Q8#1192962412yes—
508C2×Q8#1192962412yes—
509C22×C4—21no—
510C22×C4—24no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—1581no—
523C22×C4—1581no—
524C22×C4—1581no—
525C22×C4—1581no—
526C22×C4C2×C22⋊D7911yescharacteristic
527C22×C4C2×C22⋊D7911yescharacteristic
528C22×C4C2×C22⋊D7911yescharacteristic
529C22×C4C2×C22⋊D7911yescharacteristic
530C22×C4C2×C22⋊D7911yescharacteristic
531C22×C4C23×D7911yescharacteristic
532Q16—3164no—
533Q16—1588no—
534C2×C8—792no—
535C2×C8—1581no—
536C2×C8—1581no—
537C2×C8—1581no—
538C2×C8—1581no—
539C2×C8—1581no—
540C2×C8—1581no—
541C2×C8—1581no—
542C2×C8—1581no—
543C2×C8—1581no—
544C2×C8—1581no—
545C2×C8—1581no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—3162no—
553C4⋊C4—3162no—
554C4⋊C4—3162no—
555C4⋊C4—6321no—
556C4⋊C4—6321no—
557C4⋊C4—1581no—
558C4⋊C4—1581no—
559C4⋊C4—1581no—
560C4⋊C4—1581no—
561C4⋊C4—1581no—
562C4⋊C4—1581no—
563C22⋊C4—41no—
564C22⋊C4—42no—
565C22⋊C4—3162no—
566C22⋊C4—6321no—
567C22⋊C4#1192961414yescomplemented
568C42—21no—
569C42—21no—
570C42—21no—
571C42—21no—
572C42—42no—
573C42—42no—
574C42—3162no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—21no—
580C23—21no—
581C23C2×#1192961412yes—
582C23C22×C22⋊D7911yescharacteristic
583Q8—22no—
584Q8—22no—
585Q8—22no—
586Q8—22no—
587Q8—22no—
588Q8—48no—
589Q8—41no—
590Q8—41no—
591Q8—3161no—
592Q8—3161no—
593Q8—1582no—
594Q8—1582no—
595Q8#1457914314yes—
596C2×C4—21no—
597C2×C4—22no—
598C2×C4—21no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—22no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—48no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—3161no—
627C2×C4—3161no—
628C2×C4—3161no—
629C2×C4—3161no—
630C2×C4—3161no—
631C2×C4—3161no—
632C2×C4—3161no—
633C2×C4—3161no—
634C2×C4—3161no—
635C2×C4—3161no—
636C2×C4—3161no—
637C2×C4—1582no—
638C2×C4C2×#1192961412yes—
639C2×C4C2×#1192961412yes—
640C2×C4C2×D4×D7911yescharacteristic
641C2×C4C2×#1192962311yescharacteristic
642C2×C4C2×#1192962411yescharacteristic
643C2×C4C2×#1192962411yescharacteristic
644C2×C4#1457920611yescharacteristic
645C2×C4#1457920611yescharacteristic
646C8—3161no—
647C8—3161no—
648C8—3161no—
649C8—1582no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—41no—
654C22—41no—
655C22—41no—
656C22—41no—
657C22#1909907411yescharacteristic
658C22D4×C22⋊D7911yescharacteristic
659C22#1909920711yescharacteristic
660C22C22×#1192961411yescharacteristic
661C22#1909936111yescharacteristic
662C22#1909937111yescharacteristic
663C22#1909937811yescharacteristic
664C4—22no—
665C4—24no—
666C4—22no—
667C4—41no—
668C4—41no—
669C4—42no—
670C4—41no—
671C4—81no—
672C4—81no—
673C4—3162no—
674C4—6321no—
675C4—6321no—
676C4—6321no—
677C4C2×#1457914311yescharacteristic
678C4#1909915111yescharacteristic
679C4#1909920311yescharacteristic
680C4#1909923911yescharacteristic
681C2—42no—
682C2#2376686211yescharacteristic
683C2#2377343911yescharacteristic
684C2#2377362911yescharacteristic
685C2#2377498611yescharacteristic
686C2D4×#1192961411yescharacteristic
687C2#2377527611yescharacteristic
688C2#2377566811yescharacteristic
subgroupG/H
centerC23C22×C22⋊D79
commutator, cosocleC22×C4×C79C24
FrattiniC22×C4C23×D79
FittingQ8×C22⋊C4×C79C2
socleC23×C79C22×D4
prime radicalC24×C79C2×D4
hypercenterQ8×C22⋊C4D79
hypocenterC79#24906
LCSG ▷ C22×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ Q8×C22⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11929614C2semidirect
4. #23764938C2semidirect
6. #23764722C2semidirect
8. #23764079C2semidirect
10. #23763744C2semidirect
11. #23763741C2semidirect
12. #23763654C2semidirect
13. #23763405C2semidirect
223. C22⋊C4×C79Q16semidirect
360. C79#24906semidirect
567. C22⋊C4#11929614semidirect

Maximal subgroups

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

subgroupindex
C2×#190987192
C2×C4×#119296142
#237669252
#237649382
#237648312
#237647222
#237646032
#237640792
#237640082
#237637442
#237637412
#237636542
#237634052
#237633352
Q8×C22⋊C4×C792
#2490679