Finite Group Databasebeta

← #34345518

Subgroups — #34345518

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×#19098855C211yesmaximal, characteristic, complemented
2C22×#14579084C211yesmaximal, characteristic
3C22⋊C4×Dic158C211yesmaximal, characteristic
4#23764939C211yesmaximal, characteristic, complemented
5#23764792C211yesmaximal, characteristic, complemented
6#23764792C211yesmaximal, characteristic, complemented
7#23764538C211yesmaximal, characteristic, complemented
8#23763653C211yesmaximal, characteristic, complemented
9#23763653C211yesmaximal, characteristic, complemented
10#23763588C211yesmaximal, characteristic
11#23763580C211yesmaximal, characteristic
12#23763427C211yesmaximal, characteristic
13#23763402C211yesmaximal, characteristic, complemented
14#23763334C211yesmaximal, characteristic
15C79×#2440C211yesmaximal, characteristic
16C23×Dic158C2211yescharacteristic
17C23×C79⋊C8C2211yescharacteristic
18C2×C4×Dic158C2211yescharacteristic
19C2×C4×Dic158C2211yescharacteristic
20#19098855—24no—
21C2×#14579094C2211yescharacteristic
22C2×#14579094C2211yescharacteristic
23C2×#14579094C2211yescharacteristic
24C2×#14579094C2211yescharacteristic
25C2×C4⋊(C79⋊C8)C2211yescharacteristic
26C2×C4⋊(C79⋊C8)C2211yescharacteristic
27C2×#14579084—24no—
28C2×#14579084C2211yescharacteristic
29C2×#14579084C2211yescharacteristic
30C2×#14579084C2211yescharacteristic
31C2×#14579084C2211yescharacteristic
32C2×#14579084C2211yescharacteristic
33C2×#14579084C2211yescharacteristic
34C2×#14579084C2211yescharacteristic
35C2×#14579084C2211yescharacteristic
36C2×C22⋊(C79⋊C8)C2211yescharacteristic
37#19098469C2211yescharacteristic
38#19098469C2211yescharacteristic
39#19098467—21no—
40#19098467—21no—
41#19098423C2211yescharacteristic
42#19098421—21no—
43C22⋊C4×Dic79—21no—
44#19098325C2211yescharacteristic
45#19098325C2211yescharacteristic
46#19098325C2211yescharacteristic
47#19098325C2211yescharacteristic
48#19098318C2211yescharacteristic
49#19098318C2211yescharacteristic
50C2×C4⋊Q8×C79C2211yescharacteristic
51C2×C22⋊Q8×C79—21no—
52C22×C4⋊C4×C79C2211yescharacteristic
53#398×C79—21no—
54#395×C79—21no—
55#389×C79C2211yescharacteristic
56#389×C79C2211yescharacteristic
57#385×C79—21no—
58#384×C79C2211yescharacteristic
59#380×C79C2211yescharacteristic
60C4×C22⋊C4×C79C2211yescharacteristic
61C22×Dic158—21no—
62C22×Dic158—22no—
63C22×Dic158—22no—
64C22×Dic158—22no—
65C22×Dic158—41no—
66C22×Dic158—41no—
67C22×Dic158Q814yescomplemented
68C22×Dic158C2311yescharacteristic
69C22×Dic158C2311yescharacteristic
70C23×Dic79—21no—
71C22×C79⋊C8—22no—
72C22×C79⋊C8—22no—
73C22×C79⋊C8—41no—
74C22×C79⋊C8C2311yescharacteristic
75C22×C79⋊C8C2311yescharacteristic
76C22×C79⋊C8C2311yescharacteristic
77C22×C79⋊C8C2311yescharacteristic
78C4×Dic158—22no—
79C4×Dic158—22no—
80C4×Dic158—41no—
81C4×Dic158—41no—
82C2×C4⋊Dic79C2311yescharacteristic
83C2×C4⋊Dic79C2311yescharacteristic
84C2×Dic79⋊C4—21no—
85C2×Dic79⋊C4—21no—
86C2×C22⋊Dic79—21no—
87C2×C4×Dic79—21no—
88C2×C4×Dic79—21no—
89#14579094—22no—
90#14579094—22no—
91#14579094—41no—
92#14579094—41no—
93C4⋊(C79⋊C8)—22no—
94C4⋊(C79⋊C8)—41no—
95#14579084—22no—
96#14579084—22no—
97#14579084—22no—
98#14579084—22no—
99#14579084—22no—
100#14579084—41no—
101#14579084—41no—
102#14579084D414yes—
103C22⋊(C79⋊C8)—22no—
104C79⋊#95—21no—
105C79⋊#95—21no—
106C79⋊#95—21no—
107C79⋊#95—21no—
108C79⋊#95—21no—
109C22×Q8×C79—21no—
110C23×C4×C79—21no—
111C23×C4×C79C2311yescharacteristic
112C4⋊Q8×C79—22no—
113C4⋊Q8×C79—41no—
114C22⋊Q8×C79—44no—
115C2×C4⋊C4×C79—22no—
116C2×C4⋊C4×C79—21no—
117C2×C4⋊C4×C79—21no—
118C2×C4⋊C4×C79—21no—
119C2×C4⋊C4×C79—21no—
120C2×C4⋊C4×C79—21no—
121C2×C4⋊C4×C79—21no—
122C2×C4⋊C4×C79—41no—
123C2×C4⋊C4×C79C2311yescharacteristic
124C2×C4⋊C4×C79C2311yescharacteristic
125C2×C4⋊C4×C79C2311yescharacteristic
126C2×C4⋊C4×C79C2311yescharacteristic
127C2×C22⋊C4×C79—21no—
128C2×C22⋊C4×C79D411yescharacteristic
129C2×C22⋊C4×C79D411yescharacteristic
130C2×C42×C79C2311yescharacteristic
131C2×C42×C79C2311yescharacteristic
132#95×C79—21no—
133#95×C79—21no—
134#95×C79—21no—
135#95×C79D411yescharacteristic
136#95×C79D411yescharacteristic
137C2×Dic158—28no—
138C2×Dic158—24no—
139C2×Dic158—21no—
140C2×Dic158—21no—
141C2×Dic158—21no—
142C2×Dic158—21no—
143C2×Dic158—21no—
144C2×Dic158—21no—
145C2×Dic158—21no—
146C2×Dic158—21no—
147C2×Dic158—44no—
148C2×Dic158—44no—
149C2×Dic158—44no—
150C2×Dic158—42no—
151C2×Dic158—42no—
152C2×Dic158C2×D412yes—
153C2×Dic158C2×Q812yes—
154C2×Dic158C2×Q812yes—
155C2×Dic158#4112yes—
156C22×Dic79—24no—
157C22×Dic79—21no—
158C22×Dic79—21no—
159C22×Dic79—21no—
160C22×Dic79—21no—
161C22×Dic79—42no—
162C22×Dic79—42no—
163C2×C79⋊C8—21no—
164C2×C79⋊C8—21no—
165C2×C79⋊C8—21no—
166C2×C79⋊C8—21no—
167C2×C79⋊C8—21no—
168C2×C79⋊C8—21no—
169C2×C79⋊C8—21no—
170C2×C79⋊C8—21no—
171C2×C79⋊C8—21no—
172C2×C79⋊C8—21no—
173C2×C79⋊C8—21no—
174C2×C79⋊C8—44no—
175C2×C79⋊C8C2×D412yes—
176C4⋊Dic79—21no—
177C4⋊Dic79—21no—
178C4⋊Dic79—21no—
179C4⋊Dic79—21no—
180Dic79⋊C4—42no—
181Dic79⋊C4—42no—
182C22⋊Dic79—42no—
183C4×Dic79—42no—
184C4×Dic79—42no—
185C24×C79C2×D411yescharacteristic
186C2×Q8×C79—42no—
187C2×Q8×C79—42no—
188C2×Q8×C79—81no—
189C22×C4×C79—21no—
190C22×C4×C79—21no—
191C22×C4×C79—21no—
192C22×C4×C79—21no—
193C22×C4×C79—21no—
194C22×C4×C79—21no—
195C22×C4×C79—21no—
196C22×C4×C79—21no—
197C22×C4×C79—42no—
198C22×C4×C79—42no—
199C22×C4×C79—81no—
200C22×C4×C79C2×D411yescharacteristic
201C22×C4×C79C2×D411yescharacteristic
202C22×C4×C79C2×D411yescharacteristic
203C22×C4×C79C2×D411yescharacteristic
204C22×C4×C79C2×D411yescharacteristic
205C22×C4×C79C2×Q812yes—
206C22×C4×C79#4112yes—
207C22×C4×C79C2411yescharacteristic
208C4⋊C4×C79—21no—
209C4⋊C4×C79—21no—
210C4⋊C4×C79—21no—
211C4⋊C4×C79—21no—
212C4⋊C4×C79—21no—
213C4⋊C4×C79—21no—
214C4⋊C4×C79—21no—
215C4⋊C4×C79—42no—
216C4⋊C4×C79—42no—
217C4⋊C4×C79—42no—
218C4⋊C4×C79—42no—
219C4⋊C4×C79—42no—
220C4⋊C4×C79—81no—
221C4⋊C4×C79C2×D412yes—
222C22⋊C4×C79—22no—
223C22⋊C4×C79—42no—
224C22⋊C4×C79Q1614yes—
225C42×C79—21no—
226C42×C79—21no—
227C42×C79—21no—
228C42×C79—21no—
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—84no—
238C2×C4×C79—21no—
239C2×C4×C79—21no—
240C2×C4×C79—21no—
241C2×C4×C79—21no—
242C2×C4×C79—21no—
243C2×C4×C79—21no—
244C2×C4×C79—22no—
245C2×C4×C79—22no—
246C2×C4×C79—22no—
247C2×C4×C79—22no—
248C2×C4×C79—21no—
249C2×C4×C79—22no—
250C2×C4×C79—21no—
251C2×C4×C79—21no—
252C2×C4×C79—21no—
253C2×C4×C79—21no—
254C2×C4×C79—21no—
255C2×C4×C79—41no—
256C2×C4×C79—41no—
257C2×C4×C79—41no—
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—41no—
266C2×C4×C79—84no—
267C2×C4×C79C22⋊Q812yes—
268C2×C4×C79C2×Q1612yes—
269C2×C4×C79C2×Q1612yes—
270C2×C4×C79C22×D411yescharacteristic
271C2×C4×C79C22×Q811yescharacteristic
272C2×C4×C79C2×#4111yescharacteristic
273C2×C4×C79C2×#4111yescharacteristic
274C2×C4×C79H(5,𝔽2)11yescharacteristic
275C2×C4×C79H(5,𝔽2)11yescharacteristic
276C2×Dic79—22no—
277C2×Dic79—22no—
278C2×Dic79—22no—
279C2×Dic79—22no—
280C2×Dic79—48no—
281C2×Dic79—41no—
282C2×Dic79—41no—
283C2×Dic79—41no—
284C2×Dic79—41no—
285C2×Dic79—41no—
286C2×Dic79—41no—
287C2×Dic79—41no—
288C2×Dic79—41no—
289Dic158—22no—
290Dic158—22no—
291Dic158—22no—
292Dic158—22no—
293Dic158—22no—
294Dic158—48no—
295Dic158—41no—
296Dic158—41no—
297Dic158C22⋊Q814yescomplemented
298C79⋊C8—22no—
299C79⋊C8—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—22no—
318C4×C79—22no—
319C4×C79—41no—
320C4×C79—42no—
321C4×C79—41no—
322C4×C79—81no—
323C4×C79—81no—
324C4×C79—81no—
325C4×C79C2×C22⋊Q811yescharacteristic
326C4×C79#54311yescharacteristic
327C4×C79#54611yescharacteristic
328C4×C79#55111yescharacteristic
329Dic79—24no—
330Dic79—42no—
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×#103—791no—
344#2440D7911yescharacteristic
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×Q8—791no—
359C23×C8—791no—
360C2×C4⋊Q8C2×D7911yescharacteristic
361C2×C22⋊Q8—21no—
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—791no—
373C2×#103—791no—
374C2×#103—791no—
375C2×#103—791no—
376C2×#103—791no—
377C2×#103—791no—
378C2×#103—791no—
379C2×#103—791no—
380C2×#103—1584no—
381C2×C22⋊C8—791no—
382#398—21no—
383#395—21no—
384#391—791no—
385#391—791no—
386#391—1581no—
387#391—1581no—
388#389C2×D7911yescharacteristic
389#389C2×D7911yescharacteristic
390#385—21no—
391#384C2×D7911yescharacteristic
392#380—791no—
393#380—1581no—
394#380C2×D7911yescharacteristic
395C4×C22⋊C4—1581no—
396C4×C22⋊C4C2×D7911yescharacteristic
397#340—791no—
398#340—791no—
399#340—791no—
400#340—791no—
401#336—791no—
402#336—791no—
403C22×Q8—21no—
404C22×Q8—3161no—
405C22×Q8—3161no—
406C22×Q8—794no—
407C22×Q8—791no—
408C22×Q8—791no—
409C22×Q8—1582no—
410C22×Q8—1582no—
411C22×Q8—1581no—
412C22×Q8—1582no—
413C23×C4—21no—
414C23×C4—1581no—
415C23×C4C22×D7911yescharacteristic
416C22×C8—3161no—
417C22×C8—791no—
418C22×C8—791no—
419C22×C8—791no—
420C22×C8—791no—
421C22×C8—1582no—
422C22×C8—1582no—
423C4⋊Q8—22no—
424C4⋊Q8—41no—
425C22⋊Q8—44no—
426C4×Q8—3161no—
427C4×Q8—3161no—
428C4×Q8—1582no—
429C4×Q8—1582no—
430C2×C4⋊C4—22no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—41no—
438C2×C4⋊C4—791no—
439C2×C4⋊C4—791no—
440C2×C4⋊C4—1581no—
441C2×C4⋊C4—1581no—
442C2×C4⋊C4C22×D7911yescharacteristic
443C2×C4⋊C4C22×D7911yescharacteristic
444C2×C4⋊C4C22×D7911yescharacteristic
445C2×C4⋊C4C22×D7911yescharacteristic
446C2×C22⋊C4—21no—
447C2×C22⋊C4—1581no—
448C2×C22⋊C4C22⋊D7911yescharacteristic
449C2×C22⋊C4C22⋊D7911yescharacteristic
450C2×C42—1581no—
451C2×C42—1581no—
452C2×C42C22×D7911yescharacteristic
453C2×C42C22×D7911yescharacteristic
454#107—3161no—
455#107—3161no—
456#107—1582no—
457#107—1582no—
458C4⋊C8—3161no—
459C4⋊C8—1582no—
460#103—3161no—
461#103—3161no—
462#103—794no—
463#103—1582no—
464#103—1582no—
465#103—1582no—
466#103—1582no—
467#103—1582no—
468C22⋊C8—1582no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—1581no—
473#95—1581no—
474#95—1581no—
475#95—1581no—
476#95—1581no—
477#95C22⋊D7911yescharacteristic
478#95C22⋊D7911yescharacteristic
479C24C2×C22⋊D7911yescharacteristic
480C2×Q8—42no—
481C2×Q8—42no—
482C2×Q8—81no—
483C2×Q8—3164no—
484C2×Q8—3164no—
485C2×Q8—3164no—
486C2×Q8—3162no—
487C2×Q8—3162no—
488C2×Q8—792no—
489C2×Q8—792no—
490C2×Q8—792no—
491C2×Q8—792no—
492C2×Q8—1588no—
493C2×Q8—1581no—
494C2×Q8—1581no—
495C2×Q8—1581no—
496C2×Q8—1581no—
497C2×Q8—1581no—
498C2×Q8—1581no—
499C2×Q8—1581no—
500C2×Q8—1581no—
501C2×Q8—1584no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—81no—
513C22×C4—3162no—
514C22×C4—3162no—
515C22×C4—1581no—
516C22×C4—1581no—
517C22×C4—1584no—
518C22×C4—1581no—
519C22×C4—1581no—
520C22×C4C2×C22⋊D7911yescharacteristic
521C22×C4C2×C22⋊D7911yescharacteristic
522C22×C4C2×C22⋊D7911yescharacteristic
523C22×C4C2×C22⋊D7911yescharacteristic
524C22×C4C2×C22⋊D7911yescharacteristic
525C22×C4Q8×D7912yes—
526C22×C4#1192962512yes—
527C22×C4C23×D7911yescharacteristic
528C2×C8—3164no—
529C2×C8—792no—
530C2×C8—1581no—
531C2×C8—1581no—
532C2×C8—1581no—
533C2×C8—1581no—
534C2×C8—1581no—
535C2×C8—1581no—
536C2×C8—1581no—
537C2×C8—1581no—
538C2×C8—1581no—
539C2×C8—1581no—
540C2×C8—1581no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—42no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—81no—
554C4⋊C4—3162no—
555C4⋊C4—3162no—
556C4⋊C4—1581no—
557C4⋊C4—1581no—
558C4⋊C4—1581no—
559C4⋊C4—1581no—
560C4⋊C4D4×D7912yes—
561C22⋊C4—22no—
562C22⋊C4—42no—
563C22⋊C4—3162no—
564C22⋊C4#1192961414yes—
565C42—21no—
566C42—21no—
567C42—21no—
568C42—21no—
569C42—3162no—
570C42—3162no—
571C23—21no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23#1457913712yes—
576C23C2×#1192961412yes—
577C23#1457918712yes—
578C23C22×C22⋊D7911yescharacteristic
579Q8—84no—
580Q8—3168no—
581Q8—3161no—
582Q8—3161no—
583Q8—794no—
584Q8—1582no—
585Q8—1582no—
586Q8—1582no—
587Q8—1582no—
588Q8—1582no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—21no—
600C2×C4—22no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—84no—
618C2×C4—3161no—
619C2×C4—3161no—
620C2×C4—3168no—
621C2×C4—3161no—
622C2×C4—3161no—
623C2×C4—3161no—
624C2×C4—3161no—
625C2×C4—3161no—
626C2×C4—3161no—
627C2×C4—1582no—
628C2×C4—1582no—
629C2×C4—1582no—
630C2×C4—1582no—
631C2×C4#1457913712yes—
632C2×C4C2×#1192961412yes—
633C2×C4C2×#1192961412yes—
634C2×C4C2×D4×D7911yescharacteristic
635C2×C4C2×Q8×D7911yescharacteristic
636C2×C4#41×D7911yescharacteristic
637C2×C4C2×#1192962511yescharacteristic
638C2×C4#1457920611yescharacteristic
639C2×C4#1457920711yescharacteristic
640C8—3161no—
641C8—3161no—
642C8—3161no—
643C8—1582no—
644C22—22no—
645C22—22no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—22no—
650C22#1909885514yescomplemented
651C22C2×#1457913711yescharacteristic
652C22D4×C22⋊D7911yescharacteristic
653C22#1909920111yescharacteristic
654C22C22×#1192961411yescharacteristic
655C22C2×#1457918711yescharacteristic
656C22#1909937411yescharacteristic
657C22#1909937811yescharacteristic
658C4—22no—
659C4—22no—
660C4—22no—
661C4—41no—
662C4—41no—
663C4—42no—
664C4—81no—
665C4—81no—
666C4—81no—
667C4—3162no—
668C4—6321no—
669C4—6321no—
670C4—1584no—
671C4C22⋊Q8×D7911yescharacteristic
672C4#1909918811yescharacteristic
673C4#1909920411yescharacteristic
674C4#1909924011yescharacteristic
675C2—24no—
676C2#2376706311yescharacteristic
677C2C2×#1909885511yescharacteristic
678C2#2377323611yescharacteristic
679C2#2377489111yescharacteristic
680C2D4×#1192961411yescharacteristic
681C2#2377527011yescharacteristic
682C2#2377538511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D79
commutator, cosocleC22×C4×C79C24
FrattiniC22×C4C23×D79
FittingC79×#2440C2
socleC23×C79C22×D4
prime radicalC24×C79C2×D4
hypercenter#2440D79
hypocenterC79#25963
LCSG ▷ C22×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2440

Complements

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

NH ≅ G/Ntype
1. C2×#19098855C2semidirect
4. #23764939C2semidirect
5. #23764792C2semidirect
6. #23764792C2semidirect
7. #23764538C2semidirect
8. #23763653C2semidirect
9. #23763653C2semidirect
13. #23763402C2semidirect
67. C22×Dic158Q8semidirect
297. Dic158C22⋊Q8semidirect
308. C22×C79#477semidirect
357. C79#25963semidirect
650. C22#19098855semidirect

Maximal subgroups

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

subgroupindex
C2×#190988552
C22×#145790842
C22⋊C4×Dic1582
#237649392
#237647922
#237645382
#237636532
#237635882
#237635802
#237634272
#237634022
#237633342
C79×#24402
#2596379