Finite Group Databasebeta

← C2×#10594359 #11900100

Subgroups — C2×#10594359 #11900100

Order 1152.

3429 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3795C211yesmaximal, characteristic
2C2×#64096C211yesmaximal, characteristic, complemented
3C2×C3×#893C211yesmaximal, characteristic, complemented
4C2×C3×D3×C4⋊C4C211yesmaximal, characteristic, complemented
5C2×C4×#625C212yesmaximal, complemented
6C2×#63898C211yesmaximal, characteristic, complemented
7C2×#63879C212yesmaximal, complemented
8C2×#63878C212yesmaximal, complemented
9C2×D3×Dic3⋊C4C212yesmaximal, complemented
10C2×#63855C211yesmaximal, characteristic, complemented
11C2×#63844C211yesmaximal, characteristic, complemented
12#10594359C2116yesmaximal, direct product factor
13C2×#5546—31nomaximal
14C2×#5504—31nomaximal
15C22×#634C2211yescharacteristic
16C22×C3×D12C2211yescharacteristic
17C22×C3×C4×D3C2212yes—
18C22×C3×C4×D3C2212yes—
19C22×C3×C4×D3C2211yescharacteristic
20C22×#625C2212yes—
21C22×D3×Dic3C2212yes—
22C22×D3×Dic3C2212yes—
23C2×#3795C4116yescomplemented
24C2×#3795C2218yes—
25C2×C32×C4⋊C4C2211yescharacteristic
26C2×#3750C2212yes—
27C2×C4×C3⋊Dic3C2211yescharacteristic
28C2×C4×C3⋊Dic3C2212yes—
29#64096C2218yescomplemented
30C2×C3×(C2×D3)⋊C4C2212yes—
31C2×C3×C4⋊Dic3C2211yescharacteristic
32C2×C3×Dic3⋊C4C2212yes—
33C2×C3×C4×Dic3C2211yescharacteristic
34C3×#893C2218yescomplemented
35C3×D3×C4⋊C4C2218yescomplemented
36C2×#3724C2212yes—
37C2×Dic3⋊Dic3C2211yescharacteristic
38C2×Dic3⋊Dic3C2211yescharacteristic
39C2×(C2×D3)⋊Dic3C2211yescharacteristic
40C2×(C2×D3)⋊Dic3C2211yescharacteristic
41C2×(C2×D3)⋊Dic3C2212yes—
42C2×Dic32C2212yes—
43C4×#625C22116yescomplemented
44#63898C2218yescomplemented
45#63879C22116yescomplemented
46#63878C22116yescomplemented
47D3×Dic3⋊C4C22116yescomplemented
48#63855C2218yescomplemented
49#63844C2218yescomplemented
50C22×#237—31no—
51C22×#235—31no—
52C2×C3×C4×D4—31no—
53C22×C3×C4⋊C4—31no—
54C2×D4×Dic3—31no—
55C2×C4×#67—32no—
56C2×C4×#67—32no—
57C2×C4×#67—32no—
58C2×#926—31no—
59C22×Dic3⋊C4—32no—
60#5546—316no—
61#5504—316no—
62C2×#893—31no—
63C2×#893D311yescharacteristic, complemented
64C2×#892—32no—
65C2×D3×C4⋊C4—32no—
66C2×D3×C4⋊C4D311yescharacteristic, complemented
67C2×#887—31no—
68C2×#887—31no—
69C2×#887—31no—
70C2×#887—61no—
71C2×#67⋊C4—32no—
72C2×#877—32no—
73C2×#872—31no—
74C2×C4×Dic6—31no—
75C23×C3×D3C2312yes—
76C23×C3×D3C2311yescharacteristic
77C22×C32×C4C2312yes—
78C22×C32×C4C2311yescharacteristic
79C22×C3⋊Dic3C2311yescharacteristic
80C22×C3⋊Dic3C2311yescharacteristic
81C22×C3⋊Dic3C2312yes—
82C2×#634C2×C418yescomplemented
83C2×#634C2314yes—
84C22×C3×Dic3C2311yescharacteristic
85C22×C3×Dic3C2311yescharacteristic
86C22×C3×Dic3C2312yes—
87C22×C3×Dic3C2311yescharacteristic
88C2×C3×D12C2×C418yescomplemented
89C2×C3×D12C2314yes—
90C2×C3×C4×D3—44no—
91C2×C3×C4×D3—44no—
92C2×C3×C4×D3C2×C418yescomplemented
93C2×C3×C4×D3C2318yes—
94C2×C3×C4×D3C2318yes—
95C2×C3×C4×D3C2314yes—
96C2×#625C2×C4116yescomplemented
97C2×#625C2318yes—
98C2×D3×Dic3—44no—
99C2×D3×Dic3C2×C4116yescomplemented
100C2×D3×Dic3C2318yes—
101C2×D3×Dic3C2318yes—
102#3795C2×C4164yescomplemented
103C32×C4⋊C4C2314yes—
104#3750C2318yes—
105C4×C3⋊Dic3C2314yes—
106C4×C3⋊Dic3C2318yes—
107C3×(C2×D3)⋊C4C2318yes—
108C3×C4⋊Dic3C2314yes—
109C3×Dic3⋊C4C2318yes—
110C3×C4×Dic3C2314yes—
111#3724C2318yes—
112Dic3⋊Dic3C2314yes—
113Dic3⋊Dic3C2314yes—
114(C2×D3)⋊Dic3C2314yes—
115(C2×D3)⋊Dic3C2314yes—
116(C2×D3)⋊Dic3C2318yes—
117Dic32C2318yes—
118C2×#520—91noSylow
119C22×C3×D4—31no—
120C23×C3×C4—31no—
121C23×C3×C4—32no—
122C23×C3×C4—32no—
123C22×#67—32no—
124C22×#67—32no—
125C23×Dic3—32no—
126C23×Dic3—32no—
127C2×#237—316no—
128C2×#237—38no—
129C2×#235—316no—
130C2×#235—38no—
131C22×D12C2×D311yescharacteristic
132C22×C4×D3—32no—
133C22×C4×D3—32no—
134C22×C4×D3C2×D312yes—
135C22×C4×D3C2×D312yes—
136C22×C4×D3C2×D311yescharacteristic
137C22×Dic6—31no—
138C22×Dic6—31no—
139C22×Dic6—61no—
140C3×C4×D4—38no—
141C2×C3×C4⋊C4—21no—
142C2×C3×C4⋊C4—32no—
143C2×C3×C4⋊C4—31no—
144C2×C3×C4⋊C4—38no—
145C2×C3×C4⋊C4C2×D311yescharacteristic
146C2×C3×C4⋊C4C2×D311yescharacteristic
147C2×C3×C22⋊C4—32no—
148C2×C3×C42—31no—
149C2×#217—32no—
150C2×#217—31no—
151C2×#217—31no—
152D4×Dic3—38no—
153C4×#67—316no—
154C4×#67—316no—
155C4×#67—316no—
156C2×(C2×D3)⋊C4—31no—
157C2×(C2×D3)⋊C4—31no—
158C2×(C2×D3)⋊C4—32no—
159C2×(C2×D3)⋊C4C2×D312yes—
160#926—38no—
161C2×C4⋊Dic3—31no—
162C2×C4⋊Dic3—31no—
163C2×C4⋊Dic3C2×D311yescharacteristic
164C2×Dic3⋊C4—32no—
165C2×Dic3⋊C4—32no—
166C2×Dic3⋊C4—32no—
167C2×Dic3⋊C4—31no—
168C2×Dic3⋊C4—31no—
169C2×Dic3⋊C4—32no—
170C2×Dic3⋊C4—316no—
171C2×Dic3⋊C4—62no—
172C2×Dic3⋊C4C2×D312yes—
173C2×C4×Dic3—31no—
174C2×C4×Dic3—32no—
175C2×C4×Dic3—32no—
176C2×C4×Dic3—31no—
177C2×C4×Dic3—32no—
178C2×C4×Dic3—32no—
179C2×C4×Dic3—62no—
180C2×C4×Dic3—61no—
181C2×C4×Dic3C2×D311yescharacteristic
182#893—38no—
183#893C2×D318yescomplemented
184#892—316no—
185D3×C4⋊C4—316no—
186D3×C4⋊C4C2×D318yescomplemented
187#887—38no—
188#887—38no—
189#887—38no—
190#887—68no—
191#67⋊C4—316no—
192#877—316no—
193#872—38no—
194C4×Dic6—38no—
195C23×C32C2411yescharacteristic
196C22×C3×D3—24no—
197C22×C3×D3—22no—
198C22×C3×D3—22no—
199C22×C3×D3—24no—
200C22×C3×D3C22×C418yes—
201C22×C3×D3C22×C414yes—
202C22×C3×D3C2412yes—
203C22×C3×D3C2414yes—
204C2×C32×C4—24no—
205C2×C32×C4C22×C414yes—
206C2×C32×C4C2414yes—
207C2×C32×C4C2412yes—
208C2×C3⋊Dic3—22no—
209C2×C3⋊Dic3—22no—
210C2×C3⋊Dic3C22×C418yes—
211C2×C3⋊Dic3C2412yes—
212C2×C3⋊Dic3C2412yes—
213C2×C3⋊Dic3C2414yes—
214#634C22×C4116yescomplemented
215C2×C3×Dic3—24no—
216C2×C3×Dic3—22no—
217C2×C3×Dic3—22no—
218C2×C3×Dic3C22×C414yes—
219C2×C3×Dic3C2412yes—
220C2×C3×Dic3C2414yes—
221C2×C3×Dic3C2412yes—
222C2×C3×Dic3C2412yes—
223C3×D12C22×C4116yescomplemented
224C3×C4×D3—48no—
225C3×C4×D3—48no—
226C3×C4×D3C22×C4116yescomplemented
227#625C22×C4132yescomplemented
228D3×Dic3—48no—
229D3×Dic3C22×C4132yescomplemented
230C22×#41—91no—
231#520—916no—
232C2×C4×Q8—91no—
233C2×C4×Q8—91no—
234C2×C4×D4—31no—
235C2×C4×D4—92no—
236C2×C4×D4—91no—
237C2×C4×D4—92no—
238C2×#117—91no—
239C2×#117—92no—
240C22×C4⋊C4—31no—
241C22×C4⋊C4—92no—
242C24×C3—31no—
243C24×C3—32no—
244C23×D3C22×D311yescharacteristic
245C23×D3C22×D312yes—
246C2×C3×D4—38no—
247C2×C3×D4—34no—
248C22×C3×C4—21no—
249C22×C3×C4—22no—
250C22×C3×C4—31no—
251C22×C3×C4—38no—
252C22×C3×C4—34no—
253C22×C3×C4—31no—
254C22×C3×C4—32no—
255C22×C3×C4—31no—
256C22×C3×C4—38no—
257C22×C3×C4—38no—
258C22×C3×C4—124no—
259C22×C3×C4—124no—
260C22×C3×C4C22×D312yes—
261C22×C3×C4C22×D312yes—
262C22×C3×C4C22×D311yescharacteristic
263C22×C3×C4C22×D311yescharacteristic
264C2×#67—316no—
265C2×#67—316no—
266C2×#67—38no—
267C2×#67—38no—
268C22×Dic3—32no—
269C22×Dic3—32no—
270C22×Dic3—316no—
271C22×Dic3—38no—
272C22×Dic3—31no—
273C22×Dic3—31no—
274C22×Dic3—31no—
275C22×Dic3—31no—
276C22×Dic3—38no—
277C22×Dic3—61no—
278C22×Dic3—62no—
279C22×Dic3—61no—
280C22×Dic3—124no—
281C22×Dic3C22×D311yescharacteristic
282C22×Dic3C22×D312yes—
283C22×Dic3C22×D311yescharacteristic
284C22×Dic3C22×D311yescharacteristic
285#237—364no—
286#235—364no—
287C2×D12C4×D318yescomplemented
288C2×D12C22×D314yes—
289C2×C4×D3—316no—
290C2×C4×D3—38no—
291C2×C4×D3—38no—
292C2×C4×D3—44no—
293C2×C4×D3—44no—
294C2×C4×D3—124no—
295C2×C4×D3C4×D318yescomplemented
296C2×C4×D3C22×D318yes—
297C2×C4×D3C22×D318yes—
298C2×C4×D3C22×D314yes—
299C2×Dic6—38no—
300C2×Dic6—38no—
301C2×Dic6—34no—
302C2×Dic6—34no—
303C2×Dic6—64no—
304C2×Dic6—68no—
305C3×C4⋊C4—24no—
306C3×C4⋊C4—34no—
307C3×C4⋊C4—38no—
308C3×C4⋊C4C22×D314yes—
309C3×C4⋊C4C22×D314yes—
310C3×C22⋊C4—38no—
311C3×C42—34no—
312#217—38no—
313#217—34no—
314#217—34no—
315(C2×D3)⋊C4—34no—
316(C2×D3)⋊C4—34no—
317(C2×D3)⋊C4—38no—
318(C2×D3)⋊C4C22×D318yes—
319C4⋊Dic3—34no—
320C4⋊Dic3—34no—
321C4⋊Dic3C22×D314yes—
322Dic3⋊C4—38no—
323Dic3⋊C4—38no—
324Dic3⋊C4—38no—
325Dic3⋊C4—34no—
326Dic3⋊C4—34no—
327Dic3⋊C4—38no—
328Dic3⋊C4—68no—
329Dic3⋊C4C22×D318yes—
330C4×Dic3—34no—
331C4×Dic3—38no—
332C4×Dic3—38no—
333C4×Dic3—34no—
334C4×Dic3—38no—
335C4×Dic3—38no—
336C4×Dic3—68no—
337C4×Dic3—64no—
338C4×Dic3C22×D314yes—
339C22×C32C23×C412yes—
340C22×C32H(5,𝔽2)12yes—
341C22×C322−1+412yes—
342C22×C32C2511yescharacteristic
343C2×C3×D3—28no—
344C2×C3×D3—216no—
345C2×C3×D3—24no—
346C2×C3×D3—22no—
347C2×C3×D3—22no—
348C2×C3×D3—24no—
349C2×C3×D3C23×C418yes—
350C2×C3×D3C23×C414yes—
351C32×C4—24no—
352C32×C4C23×C414yes—
353C3⋊Dic3—22no—
354C3⋊Dic3—22no—
355C3⋊Dic3C23×C418yes—
356C3×Dic3—24no—
357C3×Dic3—22no—
358C3×Dic3—22no—
359C3×Dic3C23×C414yes—
360C2×#41—98no—
361C2×#41—916no—
362C22×Q8—91no—
363C22×D4—31no—
364C22×D4—92no—
365C23×C4—31no—
366C23×C4—32no—
367C23×C4—32no—
368C23×C4—92no—
369C23×C4—92no—
370C4×Q8—98no—
371C4×Q8—98no—
372C4×D4—38no—
373C4×D4—916no—
374C4×D4—98no—
375C4×D4—916no—
376#117—98no—
377#117—916no—
378C2×C4⋊C4—32no—
379C2×C4⋊C4—31no—
380C2×C4⋊C4—38no—
381C2×C4⋊C4—916no—
382C2×C4⋊C4—91no—
383C2×C4⋊C4—92no—
384C2×C4⋊C4—91no—
385C2×C4⋊C4—92no—
386C2×C4⋊C4D3211yescharacteristic
387C2×C22⋊C4—32no—
388C2×C22⋊C4—91no—
389C2×C22⋊C4—91no—
390C2×C22⋊C4—92no—
391C2×C42—31no—
392C2×C42—92no—
393C2×C42—92no—
394C2×C42—91no—
395C23×C3—21no—
396C23×C3—38no—
397C23×C3—34no—
398C23×C3—32no—
399C23×C3—34no—
400C23×C3—64no—
401C23×C3—62no—
402C23×C3—64no—
403C23×C3—62no—
404C23×C3C23×D311yescharacteristic
405C23×C3C23×D311yescharacteristic
406C22×D3—22no—
407C22×D3—24no—
408C22×D3—22no—
409C22×D3—24no—
410C22×D3C2×C4×D318yes—
411C22×D3C2×C4×D314yes—
412C22×D3C23×D312yes—
413C22×D3C23×D314yes—
414C3×D4—316no—
415C2×C3×C4—24no—
416C2×C3×C4—24no—
417C2×C3×C4—22no—
418C2×C3×C4—24no—
419C2×C3×C4—24no—
420C2×C3×C4—34no—
421C2×C3×C4—32no—
422C2×C3×C4—316no—
423C2×C3×C4—32no—
424C2×C3×C4—34no—
425C2×C3×C4—32no—
426C2×C3×C4—44no—
427C2×C3×C4—64no—
428C2×C3×C4—62no—
429C2×C3×C4—62no—
430C2×C3×C4—128no—
431C2×C3×C4—128no—
432C2×C3×C4C2×C4×D314yes—
433C2×C3×C4C2×C4×D314yes—
434C2×C3×C4C23×D314yes—
435C2×C3×C4C23×D314yes—
436C2×C3×C4C23×D312yes—
437C2×C3×C4C23×D312yes—
438#67—332no—
439#67—332no—
440C2×Dic3—22no—
441C2×Dic3—24no—
442C2×Dic3—22no—
443C2×Dic3—38no—
444C2×Dic3—38no—
445C2×Dic3—34no—
446C2×Dic3—34no—
447C2×Dic3—332no—
448C2×Dic3—32no—
449C2×Dic3—32no—
450C2×Dic3—32no—
451C2×Dic3—32no—
452C2×Dic3—68no—
453C2×Dic3—62no—
454C2×Dic3—64no—
455C2×Dic3—62no—
456C2×Dic3—64no—
457C2×Dic3—62no—
458C2×Dic3—62no—
459C2×Dic3—62no—
460C2×Dic3—62no—
461C2×Dic3—122no—
462C2×Dic3—128no—
463C2×Dic3C2×C4×D314yes—
464C2×Dic3C23×D312yes—
465C2×Dic3C23×D314yes—
466C2×Dic3C23×D312yes—
467C2×Dic3C23×D312yes—
468D12C2×C4×D3116yescomplemented
469C4×D3—332no—
470C4×D3—48no—
471C4×D3—48no—
472C4×D3—128no—
473C4×D3C2×C4×D3116yescomplemented
474Dic6—316no—
475Dic6—316no—
476Dic6—616no—
477C2×C32#52014yescomplemented
478C2×C32C24×C411yescharacteristic
479C2×C32C2×H(5,𝔽2)11yescharacteristic
480C2×C32C2×2−1+411yescharacteristic
481C3×D3—24no—
482C3×D3—28no—
483C24—32no—
484C24—31no—
485#41—964no—
486C2×Q8—94no—
487C2×Q8—98no—
488C2×D4—34no—
489C2×D4—38no—
490C2×D4—98no—
491C2×D4—916no—
492C22×C4—31no—
493C22×C4—34no—
494C22×C4—38no—
495C22×C4—31no—
496C22×C4—31no—
497C22×C4—32no—
498C22×C4—38no—
499C22×C4—38no—
500C22×C4—98no—
501C22×C4—916no—
502C22×C4—98no—
503C22×C4—92no—
504C22×C4—91no—
505C22×C4—91no—
506C22×C4—124no—
507C22×C4—124no—
508C22×C4—364no—
509C22×C4C2×D3212yes—
510C22×C4C2×D3211yescharacteristic
511C4⋊C4—38no—
512C4⋊C4—34no—
513C4⋊C4—94no—
514C4⋊C4—98no—
515C4⋊C4—94no—
516C4⋊C4—98no—
517C4⋊C4C2×D3214yes—
518C22⋊C4—38no—
519C22⋊C4—94no—
520C22⋊C4—94no—
521C22⋊C4—98no—
522C42—34no—
523C42—98no—
524C42—98no—
525C42—94no—
526C22×C3—22no—
527C22×C3—22no—
528C22×C3—22no—
529C22×C3—21no—
530C22×C3—38no—
531C22×C3—34no—
532C22×C3—64no—
533C22×C3—62no—
534C22×C3—64no—
535C22×C3—62no—
536C22×C3—616no—
537C22×C3—68no—
538C22×C3C22×C4×D312yes—
539C22×C3C22×C4×D312yes—
540C22×C3#100412yes—
541C22×C3#100412yes—
542C22×C3#100712yes—
543C22×C3#101012yes—
544C22×C3C24×D311yescharacteristic
545C22×C3C24×D311yescharacteristic
546C2×D3—22no—
547C2×D3—24no—
548C2×D3—22no—
549C2×D3—24no—
550C2×D3—28no—
551C2×D3—216no—
552C2×D3C22×C4×D318yes—
553C2×D3C22×C4×D314yes—
554C3×C4—24no—
555C3×C4—24no—
556C3×C4—24no—
557C3×C4—34no—
558C3×C4—44no—
559C3×C4—64no—
560C3×C4—62no—
561C3×C4—62no—
562C3×C4C22×C4×D314yes—
563C3×C4C22×C4×D314yes—
564Dic3—22no—
565Dic3—24no—
566Dic3—22no—
567Dic3—38no—
568Dic3—38no—
569Dic3—68no—
570Dic3—64no—
571Dic3—62no—
572Dic3—62no—
573Dic3—62no—
574Dic3—62no—
575Dic3—122no—
576Dic3C22×C4×D314yes—
577C32C2×#52011yescharacteristic, complemented, Sylow
578C23—34no—
579C23—38no—
580C23—34no—
581C23—32no—
582C23—62no—
583C23—64no—
584C23—64no—
585C23—62no—
586C23C22×D3211yescharacteristic
587Q8—916no—
588D4—316no—
589D4—932no—
590C2×C4—24no—
591C2×C4—34no—
592C2×C4—32no—
593C2×C4—316no—
594C2×C4—32no—
595C2×C4—32no—
596C2×C4—34no—
597C2×C4—62no—
598C2×C4—64no—
599C2×C4—62no—
600C2×C4—932no—
601C2×C4—98no—
602C2×C4—94no—
603C2×C4—92no—
604C2×C4—92no—
605C2×C4—128no—
606C2×C4—128no—
607C2×C4—182no—
608C2×C4—182no—
609C2×C4—368no—
610C2×C4C4×D3214yes—
611C2×C4C22×D3214yes—
612C2×C4C22×D3212yes—
613C2×C3—21no—
614C2×C3—24no—
615C2×C3—21no—
616C2×C3—21no—
617C2×C3—68no—
618C2×C3—64no—
619C2×C3#550414yescomplemented
620C2×C3#554614yescomplemented
621C2×C3C23×C4×D311yescharacteristic
622C2×C3C23×C4×D311yescharacteristic
623C2×C3C2×#100411yescharacteristic
624C2×C3C2×#100411yescharacteristic
625C2×C3C2×#100711yescharacteristic
626C2×C3C2×#101011yescharacteristic
627D3—24no—
628D3—28no—
629C22—34no—
630C22—38no—
631C22—68no—
632C22—616no—
633C22—62no—
634C22—64no—
635C22—64no—
636C22—62no—
637C22C2×C4×D3212yes—
638C22#6431312yes—
639C22#6431512yes—
640C22C23×D3211yescharacteristic
641C4—24no—
642C4—34no—
643C4—62no—
644C4—64no—
645C4—62no—
646C4—98no—
647C4—182no—
648C4—182no—
649C4C2×C4×D3214yes—
650C3—21no—
651C3C2×#550411yescharacteristic, complemented
652C3C2×#554611yescharacteristic, complemented
653C2—64no—
654C2—68no—
655C2#1059435914yesdirect product factor
656C2C22×C4×D3211yescharacteristic
657C2C2×#6431311yescharacteristic
658C2C2×#6431511yescharacteristic
subgroupG/H
centerC23C22×D32
commutatorC2×C32C24×C4
FrattiniC22C23×D32
FittingC2×C32×C4⋊C4C22
socleC23×C32C24
prime radicalC22×#3795C2
cosocleC22×C32C25
hypercenterC2×C4⋊C4D32
hypocenterC32C2×#520
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#64096C2semidirect
3. C2×C3×#893C2semidirect
4. C2×C3×D3×C4⋊C4C2semidirect
5. C2×C4×#625C2semidirect
6. C2×#63898C2semidirect
7. C2×#63879C2semidirect
8. C2×#63878C2semidirect
9. C2×D3×Dic3⋊C4C2semidirect
10. C2×#63855C2semidirect
11. C2×#63844C2semidirect
12. #10594359C2direct (N × H)
23. C2×#3795C4semidirect
29. #64096C22semidirect
34. C3×#893C22semidirect
35. C3×D3×C4⋊C4C22semidirect
43. C4×#625C22semidirect
44. #63898C22semidirect
45. #63879C22semidirect
46. #63878C22semidirect
47. D3×Dic3⋊C4C22semidirect
48. #63855C22semidirect
49. #63844C22semidirect
63. C2×#893D3semidirect
66. C2×D3×C4⋊C4D3semidirect
82. C2×#634C2×C4semidirect
88. C2×C3×D12C2×C4semidirect
92. C2×C3×C4×D3C2×C4semidirect
96. C2×#625C2×C4semidirect
99. C2×D3×Dic3C2×C4semidirect
102. #3795C2×C4semidirect
183. #893C2×D3semidirect
186. D3×C4⋊C4C2×D3semidirect
214. #634C22×C4semidirect
223. C3×D12C22×C4semidirect
226. C3×C4×D3C22×C4semidirect
227. #625C22×C4semidirect
229. D3×Dic3C22×C4semidirect
287. C2×D12C4×D3semidirect
295. C2×C4×D3C4×D3semidirect
468. D12C2×C4×D3semidirect
473. C4×D3C2×C4×D3semidirect
477. C2×C32#520semidirect
577. C32C2×#520semidirect
619. C2×C3#5504semidirect
620. C2×C3#5546semidirect
651. C3C2×#5504semidirect
652. C3C2×#5546semidirect
655. C2#10594359direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#37952
C2×#640962
C2×C3×#8932
C2×C3×D3×C4⋊C42
C2×C4×#6252
C2×#638982
C2×#638792
C2×#638782
C2×D3×Dic3⋊C42
C2×#638552
C2×#638442
#105943592
C2×#55463
C2×#55043