Finite Group Databasebeta

← #34345515

Subgroups — #34345515

Order 20224.

990 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19098856C211yesmaximal, characteristic, complemented
2#23767096C211yesmaximal, characteristic
3Q8×C22⋊Dic79C211yesmaximal, characteristic
4#23764936C211yesmaximal, characteristic, complemented
5#23764793C211yesmaximal, characteristic, complemented
6#23764791C211yesmaximal, characteristic, complemented
7#23764539C211yesmaximal, characteristic, complemented
8#23763656C211yesmaximal, characteristic, complemented
9#23763652C211yesmaximal, characteristic, complemented
10#23763588C211yesmaximal, characteristic
11#23763578C211yesmaximal, characteristic
12#23763429C211yesmaximal, characteristic
13#23763403C211yesmaximal, characteristic, complemented
14#23763335C211yesmaximal, characteristic
15C22×#103×C79C211yesmaximal, characteristic
16C2×#14579160C2211yescharacteristic
17C2×#14579140—21no—
18C2×Q8×Dic79C2211yescharacteristic
19C2×Q8×Dic79C2211yescharacteristic
20#19098856—24no—
21C2×#14579095C2211yescharacteristic
22C2×#14579095C2211yescharacteristic
23C2×#14579094C2211yescharacteristic
24C2×#14579094C2211yescharacteristic
25C2×Dic79⋊C8C2211yescharacteristic
26C2×Dic79⋊C8C2211yescharacteristic
27C2×#14579085C2211yescharacteristic
28C2×#14579085C2211yescharacteristic
29C2×#14579085C2211yescharacteristic
30C2×#14579085C2211yescharacteristic
31C2×C22⋊(C79⋊C8)C2211yescharacteristic
32#19098496—21no—
33#19098483—21no—
34#19098470—21no—
35#19098470—21no—
36#19098470C2211yescharacteristic
37#19098470C2211yescharacteristic
38#19098462C2211yescharacteristic
39#19098459C2211yescharacteristic
40#19098436—21no—
41#19098432C2211yescharacteristic
42#19098423—21no—
43#19098423C2211yescharacteristic
44#19098423C2211yescharacteristic
45C4×C22⋊Dic79—21no—
46C4×C22⋊Dic79C2211yescharacteristic
47#19098326C2211yescharacteristic
48#19098326C2211yescharacteristic
49#19098325C2211yescharacteristic
50#19098325C2211yescharacteristic
51#19098317C2211yescharacteristic
52#19098317C2211yescharacteristic
53C23×Q8×C79C2211yescharacteristic
54C23×C8×C79C2211yescharacteristic
55C22×C4⋊C4×C79C2211yescharacteristic
56C2×#103×C79—24no—
57C2×#103×C79C2211yescharacteristic
58C2×#103×C79C2211yescharacteristic
59C2×#103×C79C2211yescharacteristic
60C2×#103×C79C2211yescharacteristic
61C22×Dic158—21no—
62C22×C79⋊C8C2311yescharacteristic
63C22×C79⋊C8C2311yescharacteristic
64#14579160—22no—
65#14579160—41no—
66#14579140—44no—
67Q8×Dic79—22no—
68Q8×Dic79—22no—
69Q8×Dic79—41no—
70Q8×Dic79—41no—
71C2×C4⋊Dic79—21no—
72C2×C4⋊Dic79—21no—
73C2×C4⋊Dic79—21no—
74C2×C4⋊Dic79C2311yescharacteristic
75C2×C4⋊Dic79C2311yescharacteristic
76C2×C4⋊Dic79C2311yescharacteristic
77C2×C4⋊Dic79C2311yescharacteristic
78C2×Dic79⋊C4—21no—
79C2×Dic79⋊C4—21no—
80C2×Dic79⋊C4—21no—
81C2×Dic79⋊C4—21no—
82C2×C22⋊Dic79—21no—
83C2×C22⋊Dic79—21no—
84C2×C22⋊Dic79D411yescharacteristic
85C2×C22⋊Dic79D411yescharacteristic
86C2×C4×Dic79—21no—
87C2×C4×Dic79—21no—
88C2×C4×Dic79C2311yescharacteristic
89C2×C4×Dic79C2311yescharacteristic
90#14579095—22no—
91#14579095—41no—
92#14579094—22no—
93#14579094—41no—
94Dic79⋊C8—22no—
95Dic79⋊C8—41no—
96#14579085—22no—
97#14579085—22no—
98#14579085—41no—
99#14579085—41no—
100C22⋊(C79⋊C8)—22no—
101C79⋊#95—21no—
102C79⋊#95—21no—
103C79⋊#95—21no—
104C79⋊#95—21no—
105C79⋊#95—21no—
106C79⋊#95—21no—
107C79⋊#95—21no—
108C79⋊#95—21no—
109C79⋊#95D411yescharacteristic
110C79⋊#95D411yescharacteristic
111C22×Q8×C79—21no—
112C22×Q8×C79—22no—
113C22×Q8×C79—22no—
114C22×Q8×C79—22no—
115C22×Q8×C79—41no—
116C22×Q8×C79—41no—
117C22×Q8×C79Q814yescomplemented
118C22×Q8×C79C2311yescharacteristic
119C22×Q8×C79C2311yescharacteristic
120C23×C4×C79—21no—
121C23×C4×C79—21no—
122C23×C4×C79C2311yescharacteristic
123C22×C8×C79—22no—
124C22×C8×C79—22no—
125C22×C8×C79—41no—
126C22×C8×C79C2311yescharacteristic
127C22×C8×C79C2311yescharacteristic
128C2×C4⋊C4×C79—22no—
129C2×C4⋊C4×C79—21no—
130C2×C4⋊C4×C79—41no—
131C2×C4⋊C4×C79C2311yescharacteristic
132C2×C4⋊C4×C79C2311yescharacteristic
133#103×C79—22no—
134#103×C79—22no—
135#103×C79—22no—
136#103×C79D414yes—
137C2×Dic158—42no—
138C2×Dic158—42no—
139C2×Dic158—81no—
140C22×Dic79—21no—
141C22×Dic79—21no—
142C22×Dic79—21no—
143C22×Dic79—21no—
144C22×Dic79C2×D411yescharacteristic
145C22×Dic79C2×D411yescharacteristic
146C22×Dic79C2×D411yescharacteristic
147C22×Dic79C2×D411yescharacteristic
148C2×C79⋊C8—21no—
149C2×C79⋊C8—21no—
150C2×C79⋊C8—21no—
151C2×C79⋊C8—21no—
152C2×C79⋊C8—21no—
153C2×C79⋊C8—21no—
154C4⋊Dic79—21no—
155C4⋊Dic79—21no—
156C4⋊Dic79—21no—
157C4⋊Dic79—21no—
158C4⋊Dic79—21no—
159C4⋊Dic79—21no—
160C4⋊Dic79—21no—
161C4⋊Dic79—21no—
162C4⋊Dic79—42no—
163C4⋊Dic79—42no—
164C4⋊Dic79—42no—
165Dic79⋊C4—42no—
166Dic79⋊C4—42no—
167Dic79⋊C4—42no—
168Dic79⋊C4—81no—
169C22⋊Dic79—22no—
170C22⋊Dic79—42no—
171C22⋊Dic79—42no—
172C22⋊Dic79Q1614yes—
173C4×Dic79—21no—
174C4×Dic79—21no—
175C4×Dic79—21no—
176C4×Dic79—21no—
177C4×Dic79—42no—
178C4×Dic79—42no—
179C24×C79C2×D411yescharacteristic
180C2×Q8×C79—24no—
181C2×Q8×C79—21no—
182C2×Q8×C79—21no—
183C2×Q8×C79—21no—
184C2×Q8×C79—21no—
185C2×Q8×C79—28no—
186C2×Q8×C79—21no—
187C2×Q8×C79—21no—
188C2×Q8×C79—21no—
189C2×Q8×C79—21no—
190C2×Q8×C79—42no—
191C2×Q8×C79—42no—
192C2×Q8×C79—44no—
193C2×Q8×C79—44no—
194C2×Q8×C79—44no—
195C2×Q8×C79C2×D412yes—
196C2×Q8×C79C2×Q812yes—
197C2×Q8×C79C2×Q812yes—
198C2×Q8×C79#4112yes—
199C22×C4×C79—21no—
200C22×C4×C79—21no—
201C22×C4×C79—21no—
202C22×C4×C79—21no—
203C22×C4×C79—21no—
204C22×C4×C79—24no—
205C22×C4×C79—21no—
206C22×C4×C79—21no—
207C22×C4×C79—21no—
208C22×C4×C79—42no—
209C22×C4×C79—42no—
210C22×C4×C79—42no—
211C22×C4×C79—42no—
212C22×C4×C79—81no—
213C22×C4×C79C2×D411yescharacteristic
214C22×C4×C79C2×Q812yes—
215C22×C4×C79#4112yes—
216C22×C4×C79C2411yescharacteristic
217C2×C8×C79—21no—
218C2×C8×C79—21no—
219C2×C8×C79—21no—
220C2×C8×C79—21no—
221C2×C8×C79—21no—
222C2×C8×C79—44no—
223C2×C8×C79C2×D412yes—
224C4⋊C4×C79—21no—
225C4⋊C4×C79—21no—
226C4⋊C4×C79—21no—
227C4⋊C4×C79—42no—
228C4⋊C4×C79C2×D412yes—
229C23×C79—21no—
230C23×C79—21no—
231C23×C79—21no—
232C23×C79—21no—
233C23×C79C22⋊Q812yes—
234C23×C79C2×Q1612yes—
235C23×C79AGL(1,ℤ/8)12yes—
236C23×C79C22×D411yescharacteristic
237Q8×C79—22no—
238Q8×C79—22no—
239Q8×C79—22no—
240Q8×C79—22no—
241Q8×C79—22no—
242Q8×C79—48no—
243Q8×C79—41no—
244Q8×C79—41no—
245Q8×C79C22⋊Q814yescomplemented
246C2×C4×C79—22no—
247C2×C4×C79—22no—
248C2×C4×C79—21no—
249C2×C4×C79—22no—
250C2×C4×C79—21no—
251C2×C4×C79—22no—
252C2×C4×C79—22no—
253C2×C4×C79—22no—
254C2×C4×C79—22no—
255C2×C4×C79—22no—
256C2×C4×C79—22no—
257C2×C4×C79—48no—
258C2×C4×C79—41no—
259C2×C4×C79—41no—
260C2×C4×C79—41no—
261C2×C4×C79—41no—
262C2×C4×C79—41no—
263C2×C4×C79—41no—
264C2×C4×C79—41no—
265C2×C4×C79—84no—
266C2×C4×C79C22⋊Q812yes—
267C2×C4×C79C22×D411yescharacteristic
268C2×C4×C79C22×Q811yescharacteristic
269C2×C4×C79C2×#4111yescharacteristic
270C2×C4×C79C2×#4111yescharacteristic
271C2×C4×C79H(5,𝔽2)11yescharacteristic
272C2×C4×C79H(5,𝔽2)11yescharacteristic
273C2×Dic79—21no—
274C2×Dic79—21no—
275C2×Dic79—21no—
276C2×Dic79—21no—
277C2×Dic79—21no—
278C2×Dic79—21no—
279C2×Dic79—21no—
280C2×Dic79—21no—
281C2×Dic79—21no—
282C2×Dic79—21no—
283C2×Dic79—41no—
284C2×Dic79—41no—
285C2×Dic79—41no—
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×Dic79C2×Q1612yes—
296C2×Dic79C2×Q1612yes—
297Dic158—84no—
298C8×C79—22no—
299C8×C79—41no—
300C79⋊C8—41no—
301C79⋊C8—41no—
302C22×C79—22no—
303C22×C79—22no—
304C22×C79—22no—
305C22×C79—22no—
306C22×C79—22no—
307C22×C79—22no—
308C22×C79#47714yescomplemented
309C22×C79C2×C22⋊Q811yescharacteristic
310C22×C79D4211yescharacteristic
311C22×C79#54611yescharacteristic
312C22×C79C22×Q1611yescharacteristic
313C22×C79C2×AGL(1,ℤ/8)11yescharacteristic
314C22×C79#57711yescharacteristic
315C22×C79#57811yescharacteristic
316C4×C79—22no—
317C4×C79—24no—
318C4×C79—42no—
319C4×C79—42no—
320C4×C79—81no—
321C4×C79C2×C22⋊Q811yescharacteristic
322C4×C79#54311yescharacteristic
323C4×C79#54611yescharacteristic
324C4×C79#55111yescharacteristic
325Dic79—22no—
326Dic79—22no—
327Dic79—41no—
328Dic79—41no—
329Dic79—81no—
330Dic79—81no—
331Dic79—81no—
332Dic79—81no—
333#25963—791nomaximal, Sylow
334C2×C79—24no—
335C2×C79#243711yescharacteristic
336C2×C79C2×#47711yescharacteristic
337C2×C79#308211yescharacteristic
338C2×C79#326511yescharacteristic
339C2×C79D4×Q1611yescharacteristic
340C2×C79#329911yescharacteristic
341C2×C79#330811yescharacteristic
342C2×#477—791no—
343C22×#103D7911yescharacteristic
344#2440—791no—
345Q8×C22⋊C4—791no—
346#2095—791no—
347#2068—791no—
348#2068—791no—
349#2024—791no—
350#1863—791no—
351#1863—791no—
352#1852—791no—
353#1850—791no—
354#1808—791no—
355#1803—791no—
356#1787—791no—
357C79#2596311yescharacteristic, complemented, Sylow
358C23×Q8C2×D7911yescharacteristic
359C23×C8C2×D7911yescharacteristic
360C2×C4⋊Q8—791no—
361C2×C22⋊Q8—1581no—
362C2×C4×Q8—791no—
363C2×C4×Q8—791no—
364C22×C4⋊C4C2×D7911yescharacteristic
365#477—1584no—
366C2×#107—791no—
367C2×#107—791no—
368C2×#107—791no—
369C2×#107—791no—
370C2×C4⋊C8—791no—
371C2×C4⋊C8—791no—
372C2×#103—24no—
373C2×#103—791no—
374C2×#103—791no—
375C2×#103—791no—
376C2×#103—791no—
377C2×#103C2×D7911yescharacteristic
378C2×#103C2×D7911yescharacteristic
379C2×#103C2×D7911yescharacteristic
380C2×#103C2×D7911yescharacteristic
381C2×C22⋊C8—791no—
382#398—1581no—
383#395—1581no—
384#391—791no—
385#391—791no—
386#391—1581no—
387#391—1581no—
388#389—791no—
389#389—791no—
390#385—1581no—
391#384—791no—
392#380—791no—
393#380—791no—
394#380—1581no—
395C4×C22⋊C4—791no—
396C4×C22⋊C4—1581no—
397#340—791no—
398#340—791no—
399#340—791no—
400#340—791no—
401#336—791no—
402#336—791no—
403C22×Q8—21no—
404C22×Q8—22no—
405C22×Q8—22no—
406C22×Q8—22no—
407C22×Q8—41no—
408C22×Q8—41no—
409C22×Q8—1581no—
410C22×Q8Dic15814yescomplemented
411C22×Q8C22×D7911yescharacteristic
412C22×Q8C22×D7911yescharacteristic
413C23×C4—21no—
414C23×C4—21no—
415C23×C4C22×D7911yescharacteristic
416C22×C8—22no—
417C22×C8—22no—
418C22×C8—41no—
419C22×C8—791no—
420C22×C8—791no—
421C22×C8C22×D7911yescharacteristic
422C22×C8C22×D7911yescharacteristic
423C4⋊Q8—3161no—
424C4⋊Q8—1582no—
425C22⋊Q8—3164no—
426C4×Q8—3161no—
427C4×Q8—3161no—
428C4×Q8—1582no—
429C4×Q8—1582no—
430C2×C4⋊C4—22no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—41no—
433C2×C4⋊C4—791no—
434C2×C4⋊C4—791no—
435C2×C4⋊C4—791no—
436C2×C4⋊C4—791no—
437C2×C4⋊C4—1581no—
438C2×C4⋊C4—1581no—
439C2×C4⋊C4—1581no—
440C2×C4⋊C4—1581no—
441C2×C4⋊C4—1581no—
442C2×C4⋊C4—1581no—
443C2×C4⋊C4—1581no—
444C2×C4⋊C4C22×D7911yescharacteristic
445C2×C4⋊C4C22×D7911yescharacteristic
446C2×C22⋊C4—791no—
447C2×C22⋊C4—791no—
448C2×C22⋊C4—1581no—
449C2×C22⋊C4—1581no—
450C2×C42—791no—
451C2×C42—791no—
452C2×C42—1581no—
453C2×C42—1581no—
454#107—3161no—
455#107—3161no—
456#107—1582no—
457#107—1582no—
458C4⋊C8—3161no—
459C4⋊C8—1582no—
460#103—22no—
461#103—22no—
462#103—22no—
463#103—3161no—
464#103—3161no—
465#103—1582no—
466#103—1582no—
467#103C22⋊D7914yes—
468C22⋊C8—1582no—
469#95—791no—
470#95—791no—
471#95—1581no—
472#95—1581no—
473#95—1581no—
474#95—1581no—
475#95—1581no—
476#95—1581no—
477#95—1581no—
478#95—1581no—
479C24D4×D7911yescharacteristic
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—24no—
485C2×Q8—28no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—42no—
491C2×Q8—42no—
492C2×Q8—44no—
493C2×Q8—44no—
494C2×Q8—44no—
495C2×Q8—3162no—
496C2×Q8—3162no—
497C2×Q8—6321no—
498C2×Q8C2×C22⋊D7912yes—
499C2×Q8C2×Dic15812yes—
500C2×Q8C2×Dic15812yes—
501C2×Q8#1192962412yes—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—24no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—81no—
516C22×C4—791no—
517C22×C4—791no—
518C22×C4—791no—
519C22×C4—791no—
520C22×C4—1581no—
521C22×C4—1581no—
522C22×C4—1581no—
523C22×C4—1581no—
524C22×C4D4×D7911yescharacteristic
525C22×C4C2×Dic15812yes—
526C22×C4#1192962312yes—
527C22×C4C23×D7911yescharacteristic
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—44no—
534C2×C8—1581no—
535C2×C8—1581no—
536C2×C8—1581no—
537C2×C8—1581no—
538C2×C8—1581no—
539C2×C8—1581no—
540C2×C8C2×C22⋊D7912yes—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—42no—
545C4⋊C4—3162no—
546C4⋊C4—3162no—
547C4⋊C4—3162no—
548C4⋊C4—3162no—
549C4⋊C4—3162no—
550C4⋊C4—3162no—
551C4⋊C4—6321no—
552C4⋊C4—1581no—
553C4⋊C4—1581no—
554C4⋊C4—1581no—
555C4⋊C4—1581no—
556C4⋊C4—1581no—
557C4⋊C4—1581no—
558C4⋊C4—1581no—
559C4⋊C4—1581no—
560C4⋊C4C2×C22⋊D7912yes—
561C22⋊C4—3162no—
562C22⋊C4—3162no—
563C22⋊C4—794no—
564C22⋊C4—1582no—
565C42—3162no—
566C42—3162no—
567C42—1581no—
568C42—1581no—
569C42—1581no—
570C42—1581no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23#1457913812yes—
576C23Q16×D7912yes—
577C23#1457918812yes—
578C23C2×D4×D7911yescharacteristic
579Q8—22no—
580Q8—22no—
581Q8—22no—
582Q8—22no—
583Q8—22no—
584Q8—48no—
585Q8—41no—
586Q8—41no—
587Q8—6324no—
588Q8#1457914014yescomplemented
589C2×C4—22no—
590C2×C4—21no—
591C2×C4—22no—
592C2×C4—21no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—48no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—84no—
609C2×C4—3161no—
610C2×C4—3161no—
611C2×C4—3161no—
612C2×C4—3161no—
613C2×C4—3161no—
614C2×C4—3161no—
615C2×C4—3161no—
616C2×C4—3161no—
617C2×C4—3161no—
618C2×C4—3161no—
619C2×C4—3161no—
620C2×C4—3161no—
621C2×C4—792no—
622C2×C4—792no—
623C2×C4—1581no—
624C2×C4—1581no—
625C2×C4—1581no—
626C2×C4—1581no—
627C2×C4—1581no—
628C2×C4—1581no—
629C2×C4—1581no—
630C2×C4—1581no—
631C2×C4—1581no—
632C2×C4—1581no—
633C2×C4#1457913812yes—
634C2×C4C22×C22⋊D7911yescharacteristic
635C2×C4C22×Dic15811yescharacteristic
636C2×C4C2×#1192962311yescharacteristic
637C2×C4C2×#1192962411yescharacteristic
638C2×C4#1457920611yescharacteristic
639C2×C4#1457920611yescharacteristic
640C8—22no—
641C8—41no—
642C8—3161no—
643C8—3161no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22#1909885614yescomplemented
651C22C2×#1457913811yescharacteristic
652C22D4×C22⋊D7911yescharacteristic
653C22#1909920311yescharacteristic
654C22C2×Q16×D7911yescharacteristic
655C22C2×#1457918811yescharacteristic
656C22#1909936911yescharacteristic
657C22#1909937611yescharacteristic
658C4—22no—
659C4—24no—
660C4—42no—
661C4—42no—
662C4—81no—
663C4—3161no—
664C4—3161no—
665C4—6321no—
666C4—6321no—
667C4—6321no—
668C4—6321no—
669C4—1582no—
670C4—1582no—
671C4C2×#1457914011yescharacteristic
672C4#1909918911yescharacteristic
673C4#1909920711yescharacteristic
674C4#1909923911yescharacteristic
675C2—24no—
676C2#2376706111yescharacteristic
677C2C2×#1909885611yescharacteristic
678C2#2377323811yescharacteristic
679C2#2377489511yescharacteristic
680C2Q16×C22⋊D7911yescharacteristic
681C2#2377527211yescharacteristic
682C2#2377538711yescharacteristic
subgroupG/H
centerC23C2×D4×D79
commutator, cosocleC22×C4×C79C24
FrattiniC22×C4C23×D79
FittingC22×#103×C79C2
socleC23×C79C22×D4
prime radicalC24×C79C2×D4
hypercenterC22×#103D79
hypocenterC79#25963
LCSG ▷ C22×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C23×C4 ◁ C22×#103

Complements

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

NH ≅ G/Ntype
1. C2×#19098856C2semidirect
4. #23764936C2semidirect
5. #23764793C2semidirect
6. #23764791C2semidirect
7. #23764539C2semidirect
8. #23763656C2semidirect
9. #23763652C2semidirect
13. #23763403C2semidirect
117. C22×Q8×C79Q8semidirect
245. Q8×C79C22⋊Q8semidirect
308. C22×C79#477semidirect
357. C79#25963semidirect
410. C22×Q8Dic158semidirect
588. Q8#14579140semidirect
650. C22#19098856semidirect

Maximal subgroups

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

subgroupindex
C2×#190988562
#237670962
Q8×C22⋊Dic792
#237649362
#237647932
#237647912
#237645392
#237636562
#237636522
#237635882
#237635782
#237634292
#237634032
#237633352
C22×#103×C792
#2596379