Finite Group Databasebeta

← C2×#23768810 #34458536

Subgroups — C2×#23768810 #34458536

Order 20224.

2182 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23768810C2116yesmaximal, direct product factor
2C2×#19098495C211yesmaximal, characteristic
3C2×#19098484C211yesmaximal, characteristic
4C2×#19098484C211yesmaximal, characteristic
5C2×#19098483C211yesmaximal, characteristic
6C2×#19098469C211yesmaximal, characteristic
7C2×#19098467C211yesmaximal, characteristic
8C2×#19098467C211yesmaximal, characteristic
9C2×#19098462C211yesmaximal, characteristic
10C2×#19098460C211yesmaximal, characteristic
11C2×#19098449C211yesmaximal, characteristic
12C2×#19098446C211yesmaximal, characteristic
13C2×#19098446C211yesmaximal, characteristic
14C2×C4⋊C4×Dic79C211yesmaximal, characteristic
15C2×C4×C4⋊Dic79C211yesmaximal, characteristic
16C2×#387×C79C211yesmaximal, characteristic
17C23×Dic158C2211yescharacteristic
18C23×Dic158C2211yescharacteristic
19C22×C4⋊Dic79C2211yescharacteristic
20C22×C4⋊Dic79C2211yescharacteristic
21C22×C4⋊Dic79C2211yescharacteristic
22C22×C4⋊Dic79C2211yescharacteristic
23C22×C4⋊Dic79C2211yescharacteristic
24C22×C4⋊Dic79C2211yescharacteristic
25C22×Dic79⋊C4C2211yescharacteristic
26C22×Dic79⋊C4C2211yescharacteristic
27C22×Dic79⋊C4C2211yescharacteristic
28C22×Dic79⋊C4C2211yescharacteristic
29C22×C4×Dic79C2211yescharacteristic
30C22×C4×Dic79C2211yescharacteristic
31C22×C4×Dic79C2211yescharacteristic
32C22×C4×Dic79C2211yescharacteristic
33#19098495C2218yes—
34#19098484C2218yes—
35#19098484C2218yes—
36#19098483C2218yes—
37#19098469C2218yes—
38#19098467C2218yes—
39#19098467C2218yes—
40#19098462C2218yes—
41#19098460C2218yes—
42#19098449C2218yes—
43#19098446C2218yes—
44#19098446C2218yes—
45C4⋊C4×Dic79C2218yes—
46C4×C4⋊Dic79C2218yes—
47C2×C79⋊#95C2211yescharacteristic
48C2×C79⋊#95C2211yescharacteristic
49C2×C79⋊#95C2211yescharacteristic
50C2×C79⋊#95C2211yescharacteristic
51C2×C79⋊#95C2211yescharacteristic
52C2×C79⋊#95C2211yescharacteristic
53C2×C79⋊#95C2211yescharacteristic
54C2×C79⋊#95C2211yescharacteristic
55C2×C79⋊#95C2211yescharacteristic
56C2×C79⋊#95C2211yescharacteristic
57C2×C79⋊#95C2211yescharacteristic
58C2×C79⋊#95C2211yescharacteristic
59C22×C4⋊C4×C79C2211yescharacteristic
60C22×C4⋊C4×C79C2211yescharacteristic
61C22×C42×C79C2211yescharacteristic
62#387×C79C2218yes—
63C2×#95×C79C2211yescharacteristic
64C2×#95×C79C2211yescharacteristic
65C2×#95×C79C2211yescharacteristic
66C2×#95×C79C2211yescharacteristic
67C22×Dic158—24no—
68C22×Dic158—24no—
69C22×Dic158—24no—
70C22×Dic158—42no—
71C22×Dic158—42no—
72C22×Dic158—42no—
73C22×Dic158C2314yes—
74C22×Dic158C2314yes—
75C23×Dic79C2311yescharacteristic
76C23×Dic79C2311yescharacteristic
77C23×Dic79C2311yescharacteristic
78C23×Dic79C2311yescharacteristic
79C23×Dic79C2311yescharacteristic
80C23×Dic79C2311yescharacteristic
81C23×Dic79C2311yescharacteristic
82C23×Dic79C2311yescharacteristic
83C2×C4⋊Dic79—24no—
84C2×C4⋊Dic79—24no—
85C2×C4⋊Dic79—42no—
86C2×C4⋊Dic79—42no—
87C2×C4⋊Dic79—42no—
88C2×C4⋊Dic79Q818yescomplemented
89C2×C4⋊Dic79C2314yes—
90C2×C4⋊Dic79C2314yes—
91C2×C4⋊Dic79C2314yes—
92C2×C4⋊Dic79C2314yes—
93C2×C4⋊Dic79C2314yes—
94C2×C4⋊Dic79C2314yes—
95C2×Dic79⋊C4—24no—
96C2×Dic79⋊C4—42no—
97C2×Dic79⋊C4—42no—
98C2×Dic79⋊C4—42no—
99C2×Dic79⋊C4C2314yes—
100C2×Dic79⋊C4C2314yes—
101C2×Dic79⋊C4C2314yes—
102C2×Dic79⋊C4C2314yes—
103C2×C4×Dic79—24no—
104C2×C4×Dic79—42no—
105C2×C4×Dic79—42no—
106C2×C4×Dic79—42no—
107C2×C4×Dic79C2314yes—
108C2×C4×Dic79C2314yes—
109C2×C4×Dic79C2314yes—
110C2×C4×Dic79C2314yes—
111C79⋊#95C2314yes—
112C79⋊#95C2314yes—
113C79⋊#95C2314yes—
114C79⋊#95C2314yes—
115C79⋊#95C2314yes—
116C79⋊#95C2314yes—
117C79⋊#95C2314yes—
118C79⋊#95C2314yes—
119C79⋊#95C2314yes—
120C79⋊#95C2314yes—
121C79⋊#95C2314yes—
122C79⋊#95C2314yes—
123C23×C4×C79C2311yescharacteristic
124C23×C4×C79C2311yescharacteristic
125C23×C4×C79C2311yescharacteristic
126C23×C4×C79C2311yescharacteristic
127C23×C4×C79C2311yescharacteristic
128C23×C4×C79C2311yescharacteristic
129C23×C4×C79C2311yescharacteristic
130C2×C4⋊C4×C79—24no—
131C2×C4⋊C4×C79Q818yescomplemented
132C2×C4⋊C4×C79C2314yes—
133C2×C4⋊C4×C79C2314yes—
134C2×C42×C79—24no—
135C2×C42×C79C2314yes—
136#95×C79C2314yes—
137#95×C79C2314yes—
138#95×C79C2314yes—
139#95×C79C2314yes—
140C2×Dic158—28no—
141C2×Dic158—28no—
142C2×Dic158—28no—
143C2×Dic158—44no—
144C2×Dic158—44no—
145C2×Dic158—44no—
146C2×Dic158—416no—
147C2×Dic158—416no—
148C22×Dic79—22no—
149C22×Dic79—22no—
150C22×Dic79—22no—
151C22×Dic79—22no—
152C22×Dic79—22no—
153C22×Dic79—22no—
154C22×Dic79—22no—
155C22×Dic79—22no—
156C22×Dic79—22no—
157C22×Dic79—22no—
158C22×Dic79—22no—
159C22×Dic79—22no—
160C22×Dic79—22no—
161C22×Dic79—22no—
162C22×Dic79—22no—
163C22×Dic79—22no—
164C22×Dic79—22no—
165C22×Dic79—22no—
166C22×Dic79—22no—
167C22×Dic79—22no—
168C22×Dic79C2×Q814yes—
169C22×Dic79C2×Q814yes—
170C22×Dic79#4114yes—
171C22×Dic79#4114yes—
172C22×Dic79C2412yes—
173C22×Dic79C2412yes—
174C22×Dic79C2412yes—
175C22×Dic79C2412yes—
176C22×Dic79C2412yes—
177C22×Dic79C2412yes—
178C22×Dic79C2412yes—
179C22×Dic79C2412yes—
180C4⋊Dic79—28no—
181C4⋊Dic79—28no—
182C4⋊Dic79—44no—
183C4⋊Dic79—44no—
184C4⋊Dic79—44no—
185C4⋊Dic79C2×Q8116yescomplemented
186Dic79⋊C4—28no—
187Dic79⋊C4—44no—
188Dic79⋊C4—44no—
189Dic79⋊C4—44no—
190C4×Dic79—28no—
191C4×Dic79—44no—
192C4×Dic79—44no—
193C4×Dic79—44no—
194C24×C79C2411yescharacteristic
195C22×C4×C79—22no—
196C22×C4×C79—22no—
197C22×C4×C79—22no—
198C22×C4×C79—22no—
199C22×C4×C79—22no—
200C22×C4×C79—22no—
201C22×C4×C79—22no—
202C22×C4×C79—22no—
203C22×C4×C79—22no—
204C22×C4×C79—22no—
205C22×C4×C79—22no—
206C22×C4×C79—22no—
207C22×C4×C79—22no—
208C22×C4×C79—22no—
209C22×C4×C79—22no—
210C22×C4×C79—22no—
211C22×C4×C79C2×Q814yes—
212C22×C4×C79C2×Q814yes—
213C22×C4×C79C2×Q814yes—
214C22×C4×C79C2×Q814yes—
215C22×C4×C79#4114yes—
216C22×C4×C79C2412yes—
217C22×C4×C79C2412yes—
218C22×C4×C79C2412yes—
219C22×C4×C79C2412yes—
220C22×C4×C79C2412yes—
221C22×C4×C79C2412yes—
222C22×C4×C79C2412yes—
223C4⋊C4×C79—28no—
224C4⋊C4×C79C2×Q8116yescomplemented
225C42×C79—28no—
226C23×C79C22×Q812yes—
227C23×C79C22×Q812yes—
228C23×C79C2×#4112yes—
229C23×C79C2×#4112yes—
230C23×C79C2×#4112yes—
231C23×C79H(5,𝔽2)12yes—
232C23×C79H(5,𝔽2)12yes—
233C23×C79C2511yescharacteristic
234C2×C4×C79—28no—
235C2×C4×C79—28no—
236C2×C4×C79—28no—
237C2×C4×C79—28no—
238C2×C4×C79—28no—
239C2×C4×C79—22no—
240C2×C4×C79—22no—
241C2×C4×C79—22no—
242C2×C4×C79—22no—
243C2×C4×C79—22no—
244C2×C4×C79—22no—
245C2×C4×C79—22no—
246C2×C4×C79—22no—
247C2×C4×C79—22no—
248C2×C4×C79—22no—
249C2×C4×C79—22no—
250C2×C4×C79—22no—
251C2×C4×C79—22no—
252C2×C4×C79—22no—
253C2×C4×C79—22no—
254C2×C4×C79—22no—
255C2×C4×C79—44no—
256C2×C4×C79—44no—
257C2×C4×C79C22×Q814yes—
258C2×C4×C79C22×Q814yes—
259C2×C4×C79C22×Q814yes—
260C2×C4×C79C22×Q814yes—
261C2×C4×C79C2×#4114yes—
262C2×Dic79—28no—
263C2×Dic79—28no—
264C2×Dic79—28no—
265C2×Dic79—28no—
266C2×Dic79—22no—
267C2×Dic79—22no—
268C2×Dic79—22no—
269C2×Dic79—22no—
270C2×Dic79—22no—
271C2×Dic79—22no—
272C2×Dic79—22no—
273C2×Dic79—22no—
274C2×Dic79—22no—
275C2×Dic79—22no—
276C2×Dic79—22no—
277C2×Dic79—22no—
278C2×Dic79—22no—
279C2×Dic79—22no—
280C2×Dic79—22no—
281C2×Dic79—22no—
282C2×Dic79—22no—
283C2×Dic79—22no—
284C2×Dic79—22no—
285C2×Dic79—22no—
286C2×Dic79—44no—
287C2×Dic79—44no—
288C2×Dic79—44no—
289C2×Dic79—44no—
290C2×Dic79C22×Q814yes—
291C2×Dic79C22×Q814yes—
292C2×Dic79C2×#4114yes—
293C2×Dic79C2×#4114yes—
294Dic158—416no—
295Dic158—416no—
296C22×C79#53314yes—
297C22×C79#53314yes—
298C22×C79#53814yes—
299C22×C79#55114yes—
300C22×C79#55414yes—
301C22×C79#55414yes—
302C22×C79Q8214yes—
303C22×C79C23×Q811yescharacteristic
304C22×C79C23×Q811yescharacteristic
305C22×C79C22×#4111yescharacteristic
306C22×C79C22×#4111yescharacteristic
307C22×C79C22×#4111yescharacteristic
308C22×C79C2×H(5,𝔽2)11yescharacteristic
309C22×C79C2×H(5,𝔽2)11yescharacteristic
310C4×C79—24no—
311C4×C79—24no—
312C4×C79—24no—
313C4×C79—24no—
314C4×C79—24no—
315C4×C79—42no—
316C4×C79—42no—
317Dic79—24no—
318Dic79—24no—
319Dic79—24no—
320Dic79—24no—
321Dic79—42no—
322Dic79—42no—
323Dic79—42no—
324Dic79—42no—
325C2×#2586—791nomaximal, Sylow
326C2×C79#258618yescomplemented
327C2×C79C2×#53311yescharacteristic
328C2×C79C2×#53311yescharacteristic
329C2×C79C2×#53811yescharacteristic
330C2×C79C2×#55111yescharacteristic
331C2×C79C2×#55411yescharacteristic
332C2×C79C2×#55411yescharacteristic
333C2×C79C2×Q8211yescharacteristic
334#2586—7916no—
335C2×#398—791no—
336C2×#395—791no—
337C2×#395—791no—
338C2×#395—791no—
339C2×#391—791no—
340C2×#391—791no—
341C2×#391—791no—
342C2×#389—791no—
343C2×#389—791no—
344C2×#387—791no—
345C2×#387—791no—
346C2×#387—791no—
347C2×#387D7911yescharacteristic
348C2×C4×C4⋊C4—791no—
349C2×C4×C4⋊C4—791no—
350C79C2×#258611yescharacteristic, complemented, Sylow
351C23×Q8—791no—
352C23×Q8—791no—
353C22×C4⋊C4—791no—
354C22×C4⋊C4—791no—
355C22×C4⋊C4—791no—
356C22×C4⋊C4—791no—
357C22×C4⋊C4—791no—
358C22×C4⋊C4—791no—
359C22×C4⋊C4—791no—
360C22×C4⋊C4—791no—
361C22×C4⋊C4—791no—
362C22×C4⋊C4—791no—
363C22×C4⋊C4C2×D7911yescharacteristic
364C22×C4⋊C4C2×D7911yescharacteristic
365C22×C42—791no—
366C22×C42—791no—
367C22×C42—791no—
368C22×C42—791no—
369C22×C42C2×D7911yescharacteristic
370#398—798no—
371#395—798no—
372#395—798no—
373#395—798no—
374#391—798no—
375#391—798no—
376#391—798no—
377#389—798no—
378#389—798no—
379#387—798no—
380#387—798no—
381#387—798no—
382#387C2×D7918yes—
383C4×C4⋊C4—798no—
384C4×C4⋊C4—798no—
385C2×#95—791no—
386C2×#95—791no—
387C2×#95—791no—
388C2×#95—791no—
389C2×#95—791no—
390C2×#95—791no—
391C2×#95—791no—
392C2×#95—791no—
393C2×#95—791no—
394C2×#95—791no—
395C2×#95—791no—
396C2×#95—791no—
397C2×#95C2×D7911yescharacteristic
398C2×#95C2×D7911yescharacteristic
399C2×#95C2×D7911yescharacteristic
400C2×#95C2×D7911yescharacteristic
401C22×Q8—3162no—
402C22×Q8—3162no—
403C22×Q8—3162no—
404C22×Q8—794no—
405C22×Q8—794no—
406C22×Q8—1584no—
407C22×Q8—1584no—
408C22×Q8—1584no—
409C23×C4—791no—
410C23×C4—791no—
411C23×C4—791no—
412C23×C4—791no—
413C23×C4—791no—
414C23×C4—791no—
415C23×C4—791no—
416C23×C4—791no—
417C23×C4C22×D7911yescharacteristic
418C23×C4C22×D7911yescharacteristic
419C23×C4C22×D7911yescharacteristic
420C23×C4C22×D7911yescharacteristic
421C23×C4C22×D7911yescharacteristic
422C23×C4C22×D7911yescharacteristic
423C23×C4C22×D7911yescharacteristic
424C2×C4⋊C4—24no—
425C2×C4⋊C4—3162no—
426C2×C4⋊C4—3162no—
427C2×C4⋊C4—3162no—
428C2×C4⋊C4—3162no—
429C2×C4⋊C4—3162no—
430C2×C4⋊C4—3162no—
431C2×C4⋊C4—794no—
432C2×C4⋊C4—794no—
433C2×C4⋊C4—794no—
434C2×C4⋊C4—794no—
435C2×C4⋊C4—794no—
436C2×C4⋊C4—794no—
437C2×C4⋊C4—798no—
438C2×C4⋊C4—794no—
439C2×C4⋊C4—794no—
440C2×C4⋊C4—794no—
441C2×C4⋊C4—794no—
442C2×C4⋊C4—1584no—
443C2×C4⋊C4—1584no—
444C2×C4⋊C4—1584no—
445C2×C4⋊C4Dic15818yescomplemented
446C2×C4⋊C4C22×D7914yes—
447C2×C4⋊C4C22×D7914yes—
448C2×C42—24no—
449C2×C42—3162no—
450C2×C42—3162no—
451C2×C42—3162no—
452C2×C42—794no—
453C2×C42—794no—
454C2×C42—794no—
455C2×C42—794no—
456C2×C42—1584no—
457C2×C42C22×D7914yes—
458#95—794no—
459#95—794no—
460#95—794no—
461#95—794no—
462#95—794no—
463#95—794no—
464#95—794no—
465#95—794no—
466#95—794no—
467#95—794no—
468#95—794no—
469#95—794no—
470#95C22×D7914yes—
471#95C22×D7914yes—
472#95C22×D7914yes—
473#95C22×D7914yes—
474C24C23×D7911yescharacteristic
475C2×Q8—31616no—
476C2×Q8—3164no—
477C2×Q8—3164no—
478C2×Q8—3164no—
479C2×Q8—31616no—
480C2×Q8—1588no—
481C2×Q8—1588no—
482C2×Q8—1588no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—794no—
500C22×C4—794no—
501C22×C4—794no—
502C22×C4—794no—
503C22×C4—792no—
504C22×C4—792no—
505C22×C4—792no—
506C22×C4—792no—
507C22×C4—792no—
508C22×C4—792no—
509C22×C4—792no—
510C22×C4—792no—
511C22×C4—1582no—
512C22×C4—1582no—
513C22×C4—1582no—
514C22×C4—1582no—
515C22×C4—1582no—
516C22×C4—1582no—
517C22×C4—1582no—
518C22×C4—1582no—
519C22×C4—1582no—
520C22×C4—1582no—
521C22×C4—1582no—
522C22×C4—1582no—
523C22×C4—1582no—
524C22×C4—1582no—
525C22×C4—1582no—
526C22×C4—1582no—
527C22×C4—1582no—
528C22×C4—1582no—
529C22×C4—1582no—
530C22×C4—1582no—
531C22×C4Q8×D7914yes—
532C22×C4C2×Dic15814yes—
533C22×C4C2×Dic15814yes—
534C22×C4C2×Dic15814yes—
535C22×C4#1192962314yes—
536C22×C4C23×D7912yes—
537C22×C4C23×D7912yes—
538C22×C4C23×D7912yes—
539C22×C4C23×D7912yes—
540C22×C4C23×D7912yes—
541C22×C4C23×D7912yes—
542C22×C4C23×D7912yes—
543C4⋊C4—28no—
544C4⋊C4—3164no—
545C4⋊C4—3164no—
546C4⋊C4—3164no—
547C4⋊C4—3164no—
548C4⋊C4—3164no—
549C4⋊C4—3164no—
550C4⋊C4—7916no—
551C4⋊C4—1588no—
552C4⋊C4—1588no—
553C4⋊C4—1588no—
554C4⋊C4C2×Dic158116yescomplemented
555C42—28no—
556C42—3164no—
557C42—3164no—
558C42—3164no—
559C42—1588no—
560C23C2×Q8×D7912yes—
561C23C22×Dic15812yes—
562C23#41×D7912yes—
563C23#41×D7912yes—
564C23C2×#1192962312yes—
565C23#1457920712yes—
566C23#1457920712yes—
567C23C24×D7911yescharacteristic
568Q8—31616no—
569Q8—31616no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—28no—
574C2×C4—28no—
575C2×C4—28no—
576C2×C4—28no—
577C2×C4—28no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—44no—
592C2×C4—44no—
593C2×C4—3164no—
594C2×C4—3164no—
595C2×C4—3164no—
596C2×C4—3164no—
597C2×C4—794no—
598C2×C4—794no—
599C2×C4—794no—
600C2×C4—794no—
601C2×C4—1582no—
602C2×C4—1582no—
603C2×C4—1582no—
604C2×C4—1582no—
605C2×C4—1582no—
606C2×C4—1582no—
607C2×C4—1582no—
608C2×C4—1582no—
609C2×C4—1582no—
610C2×C4—1582no—
611C2×C4—1582no—
612C2×C4—1582no—
613C2×C4—1582no—
614C2×C4—1582no—
615C2×C4—1582no—
616C2×C4—1582no—
617C2×C4—1582no—
618C2×C4—1588no—
619C2×C4—1588no—
620C2×C4—1588no—
621C2×C4—1588no—
622C2×C4—1582no—
623C2×C4—1582no—
624C2×C4—1582no—
625C2×C4C2×Q8×D7914yes—
626C2×C4C22×Dic15814yes—
627C2×C4C22×Dic15814yes—
628C2×C4C22×Dic15814yes—
629C2×C4C2×#1192962314yes—
630C22#1909911514yes—
631C22#1909911614yes—
632C22#1909915214yes—
633C22#1909923614yes—
634C22#1909926914yes—
635C22#1909927014yes—
636C22Q8×Dic15814yes—
637C22C22×Q8×D7911yescharacteristic
638C22C23×Dic15811yescharacteristic
639C22C2×#41×D7911yescharacteristic
640C22C2×#41×D7911yescharacteristic
641C22C22×#1192962311yescharacteristic
642C22C2×#1457920711yescharacteristic
643C22C2×#1457920711yescharacteristic
644C4—24no—
645C4—24no—
646C4—24no—
647C4—24no—
648C4—24no—
649C4—42no—
650C4—42no—
651C4—3162no—
652C4—3162no—
653C4—3162no—
654C4—3162no—
655C4—1584no—
656C4—1584no—
657C4—1584no—
658C4—1584no—
659C2#2376881018yesdirect product factor
660C2C2×#1909911511yescharacteristic
661C2C2×#1909911611yescharacteristic
662C2C2×#1909915211yescharacteristic
663C2C2×#1909923611yescharacteristic
664C2C2×#1909926911yescharacteristic
665C2C2×#1909927011yescharacteristic
666C2C2×Q8×Dic15811yescharacteristic
subgroupG/H
centerC24C23×D79
commutator, cosocleC23×C79C25
FrattiniC23C24×D79
FittingC2×#387×C79C2
socle, prime radicalC24×C79C24
hypercenterC2×#387D79
hypocenterC79C2×#2586
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C24 ◁ C2×#387

Complements

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

NH ≅ G/Ntype
1. #23768810C2direct (N × H)
88. C2×C4⋊Dic79Q8semidirect
131. C2×C4⋊C4×C79Q8semidirect
185. C4⋊Dic79C2×Q8semidirect
224. C4⋊C4×C79C2×Q8semidirect
326. C2×C79#2586semidirect
350. C79C2×#2586semidirect
445. C2×C4⋊C4Dic158semidirect
554. C4⋊C4C2×Dic158semidirect
659. C2#23768810direct (N × H)

Maximal subgroups

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

subgroupindex
#237688102
C2×#190984952
C2×#190984842
C2×#190984832
C2×#190984692
C2×#190984672
C2×#190984622
C2×#190984602
C2×#190984492
C2×#190984462
C2×C4⋊C4×Dic792
C2×C4×C4⋊Dic792
C2×#387×C792
C2×#258679