Finite Group Databasebeta

← C2×#10596695 #11919270

Subgroups — C2×#10596695 #11919270

Order 1152.

12357 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#41×C3⋊D3C211yesmaximal, characteristic, complemented
2C2×C3×D3×#41C212yesmaximal, complemented
3#10596695C2132yesmaximal, direct product factor
4C2×#64320C211yesmaximal, characteristic, complemented
5C2×#64316C211yesmaximal, characteristic, complemented
6C2×#64315C212yesmaximal, complemented
7C2×#64314C216yesmaximal, complemented
8C2×#64313C213yesmaximal, complemented
9C2×#64309C213yesmaximal, complemented
10C2×#64306C213yesmaximal, complemented
11C2×D3×#235C216yesmaximal, complemented
12C22×#3798C213yesmaximal, complemented
13C2×#5964—32nomaximal
14C2×C32×#41C2211yescharacteristic, complemented
15#41×C3⋊D3C22116yescomplemented
16C2×#3832C2211yescharacteristic, complemented
17C2×Q8×C3⋊D3C2211yescharacteristic, complemented
18C2×#3830C2213yescomplemented
19C2×D4×C3⋊D3C2213yescomplemented
20C2×#3828C2213yescomplemented
21C22×C4×C3⋊D3C2213yescomplemented
22C3×D3×#41C22132yescomplemented
23C2×C3×#239C2212yescomplemented
24C2×C3×D3×Q8C2212yescomplemented
25C2×C3×#237C2216yescomplemented
26C2×C3×D3×D4C2216yescomplemented
27C2×C3×#235C2216yescomplemented
28C22×C3×C4×D3C2216yescomplemented
29C2×#3811C2216yescomplemented
30C2×D3×#67C22112yescomplemented
31C22×#627C2213yescomplemented
32C22×#626C2216yescomplemented
33C22×#625C2213yescomplemented
34C2×#3805C2216yescomplemented
35C2×#3804C22112yescomplemented
36#64320C22116yescomplemented
37#64316C22116yescomplemented
38#64315C22132yescomplemented
39#64314C22196yescomplemented
40#64313C22148yescomplemented
41#64309C22148yescomplemented
42#64306C22148yescomplemented
43D3×#235C22196yescomplemented
44C2×#3802C2213yescomplemented
45C2×D3×D12C2216yescomplemented
46C2×C4×D32C2216yescomplemented
47C2×#3799C2216yescomplemented
48C2×#3798C2211yescharacteristic, complemented
49C2×#3798C2216yescomplemented
50C2×#3798C2213yescomplemented
51C2×#3798C2213yescomplemented
52C2×#3798C2213yescomplemented
53C2×#3798C2216yescomplemented
54C2×#3798C22148yescomplemented
55C2×#3797C2213yescomplemented
56C2×#3796C2216yescomplemented
57C2×#3795C2216yescomplemented
58C2×D3×Dic6C2216yescomplemented
59C22×C3×#41—32no—
60#5964—364no—
61C2×#1010—32no—
62C2×#1010—36no—
63C2×#1009—32no—
64C2×#1009—36no—
65C2×D3×#41—32no—
66C2×D3×#41—36no—
67C2×D3×#41—36no—
68C2×D3×#41—61no—
69C2×D3×#41D312yescomplemented
70C2×#1007—32no—
71C2×#1007—32no—
72C2×#1004—36no—
73C2×#1004—36no—
74C22×#235—36no—
75C22×#235—36no—
76C23×C3⋊D3C2313yes—
77C23×C3×D3C2316yes—
78C22×D32C2316yes—
79C32×#41C2318yescomplemented
80C2×C32×Q8C2311yescharacteristic
81C2×C32×D4C2313yes—
82C22×C32×C4C2313yes—
83C2×#638C2316yes—
84C22×C3⋊Dic3C2313yes—
85#3832C2318yescomplemented
86Q8×C3⋊D3C2318yescomplemented
87#3830C23124yescomplemented
88D4×C3⋊D3C23124yescomplemented
89#3828C23124yescomplemented
90C2×C4⋊(C3⋊D3)C2313yes—
91C2×C4×C3⋊D3C2313yes—
92C2×C4×C3⋊D3C2313yes—
93C2×C4×C3⋊D3C2311yescharacteristic
94C2×C4×C3⋊D3C2313yes—
95C2×C4×C3⋊D3C23124yescomplemented
96C2×#634C2313yes—
97C2×C3×#67C23112yes—
98C22×C3×Dic3C2316yes—
99C3×#239C23116yescomplemented
100C3×D3×Q8C23116yescomplemented
101C3×#237C23148yescomplemented
102C3×D3×D4C23148yescomplemented
103C3×#235C23148yescomplemented
104C2×C3×D12C2316yes—
105C2×C3×C4×D3C2316yes—
106C2×C3×C4×D3C2316yes—
107C2×C3×C4×D3C2312yes—
108C2×C3×C4×D3C2316yes—
109C2×C3×C4×D3C23148yescomplemented
110C2×C3×Dic6C2316yes—
111#3811C23148yescomplemented
112D3×#67C23196yescomplemented
113C2×#627C2316yes—
114C2×#627C2313yes—
115C2×#627C2311yescharacteristic
116C2×#627C23124yescomplemented
117C2×#626C2316yes—
118C2×#626C2312yes—
119C2×#626C2316yes—
120C2×#626C2316yes—
121C2×#626C23148yescomplemented
122C2×#625C2316yes—
123C2×#625C2311yescharacteristic
124C2×#625C2313yes—
125C2×#625C23124yescomplemented
126C2×#624C2316yes—
127#3805C23148yescomplemented
128#3804C23196yescomplemented
129C2×D3×Dic3C23112yes—
130#3802C23124yescomplemented
131D3×D12C23148yescomplemented
132C4×D32C23148yescomplemented
133#3799C23148yescomplemented
134#3798C2318yescomplemented
135#3798C23148yescomplemented
136#3798C23124yescomplemented
137#3798C23124yescomplemented
138#3798C23124yescomplemented
139#3798C23148yescomplemented
140#3797C23124yescomplemented
141#3796C23148yescomplemented
142#3795C23148yescomplemented
143D3×Dic6C23148yescomplemented
144C2×#585—91noSylow
145C2×C3×#41—21no—
146C2×C3×#41—332no—
147C2×C3×#41—32no—
148C2×C3×#41—36no—
149C2×C3×#41—36no—
150C2×C3×#41C2×D312yescomplemented
151C22×C3×Q8—32no—
152C22×C3×D4—36no—
153C23×C3×C4—36no—
154C22×#67—36no—
155C22×#67—312no—
156C22×#67—36no—
157#1010—332no—
158#1010—396no—
159#1009—332no—
160#1009—396no—
161D3×#41—332no—
162D3×#41—396no—
163D3×#41—396no—
164D3×#41—616no—
165D3×#41C2×D3132yescomplemented
166#1007—332no—
167#1007—332no—
168C2×#239—32no—
169C2×#239—36no—
170C2×#239—36no—
171C2×#239—61no—
172C2×#239C2×D312yescomplemented
173C2×D3×Q8—32no—
174C2×D3×Q8—36no—
175C2×D3×Q8—36no—
176C2×D3×Q8—61no—
177C2×D3×Q8C2×D312yescomplemented
178#1004—396no—
179#1004—396no—
180C2×#237—36no—
181C2×#237—312no—
182C2×#237—312no—
183C2×#237—36no—
184C2×#237—36no—
185C2×#237—63no—
186C2×#237C2×D316yescomplemented
187C2×D3×D4—312no—
188C2×D3×D4—36no—
189C2×D3×D4—312no—
190C2×D3×D4—36no—
191C2×D3×D4—36no—
192C2×D3×D4—63no—
193C2×D3×D4C2×D316yescomplemented
194C2×#235—36no—
195C2×#235—312no—
196C2×#235—396no—
197C2×#235—36no—
198C2×#235—36no—
199C2×#235—32no—
200C2×#235—36no—
201C2×#235—36no—
202C2×#235—36no—
203C2×#235—36no—
204C2×#235—36no—
205C2×#235—36no—
206C2×#235—396no—
207C2×#235—36no—
208C2×#235—63no—
209C2×#235C2×D316yescomplemented
210C22×D12—36no—
211C22×D12—36no—
212C22×C4×D3—36no—
213C22×C4×D3—312no—
214C22×C4×D3—63no—
215C22×C4×D3C2×D316yescomplemented
216C22×Dic6—36no—
217C22×Dic6—36no—
218C23×C32C2413yes—
219C22×C3⋊D3—46no—
220C22×C3⋊D3C2413yes—
221C22×C3⋊D3C2411yescharacteristic
222C22×C3⋊D3C24112yes—
223C22×C3×D3—412no—
224C22×C3×D3C2416yes—
225C22×C3×D3C2412yes—
226C22×C3×D3C24124yes—
227C2×D32—412no—
228C2×D32C24124yes—
229C32×Q8C2414yes—
230C32×D4C24112yes—
231C2×C32×C4C2413yes—
232C2×C32×C4C2411yescharacteristic
233C2×C32×C4C24112yes—
234#638C24124yes—
235C2×C3⋊Dic3C2413yes—
236C2×C3⋊Dic3C24112yes—
237C2×C3⋊Dic3C2411yescharacteristic
238C4⋊(C3⋊D3)C24112yes—
239C4×C3⋊D3C24112yes—
240C4×C3⋊D3C24112yes—
241C4×C3⋊D3C2414yes—
242C4×C3⋊D3C24112yes—
243#634C24112yes—
244C3×#67C24148yes—
245C2×C3×Dic3C2416yes—
246C2×C3×Dic3C24124yes—
247C2×C3×Dic3C2412yes—
248C3×D12C24124yes—
249C3×C4×D3C24124yes—
250C3×C4×D3C24124yes—
251C3×C4×D3C2418yes—
252C3×C4×D3C24124yes—
253C3×Dic6C24124yes—
254#627C24124yes—
255#627C24112yes—
256#627C2414yes—
257#626C24124yes—
258#626C2418yes—
259#626C24124yes—
260#626C24124yes—
261#625C24124yes—
262#625C2414yes—
263#625C24112yes—
264#624C24124yes—
265D3×Dic3C24148yes—
266#585—932no—
267C2×2−1+4—91no—
268C2×2−1+4—92no—
269C2×2−1+4—93no—
270C2×H(5,𝔽2)—93no—
271C2×H(5,𝔽2)—96no—
272C2×H(5,𝔽2)—91no—
273C22×#41—32no—
274C22×#41—93no—
275C22×#41—96no—
276C22×#41—93no—
277C22×#41—91no—
278C24×C3—36no—
279C23×D3—36no—
280C23×D3—312no—
281C23×D3—63no—
282C23×D3C22×D316yes—
283C3×#41—28no—
284C3×#41—316no—
285C3×#41—348no—
286C3×#41—348no—
287C3×#41C22×D3116yescomplemented
288C2×C3×Q8—21no—
289C2×C3×Q8—316no—
290C2×C3×Q8—36no—
291C2×C3×Q8C22×D312yes—
292C2×C3×D4—23no—
293C2×C3×D4—312no—
294C2×C3×D4—348no—
295C2×C3×D4—36no—
296C2×C3×D4C22×D316yes—
297C22×C3×C4—23no—
298C22×C3×C4—36no—
299C22×C3×C4—36no—
300C22×C3×C4—36no—
301C22×C3×C4—32no—
302C22×C3×C4—36no—
303C22×C3×C4—348no—
304C22×C3×C4C22×D316yes—
305C2×#67—312no—
306C2×#67—36no—
307C2×#67—32no—
308C2×#67—36no—
309C2×#67—36no—
310C2×#67—348no—
311C2×#67—396no—
312C2×#67—32no—
313C2×#67—36no—
314C2×#67—36no—
315C2×#67—36no—
316C2×#67—348no—
317C2×#67—66no—
318C2×#67C22×D3112yes—
319C22×Dic3—36no—
320C22×Dic3—312no—
321C22×Dic3—63no—
322C22×Dic3C22×D316yes—
323#239—316no—
324#239—348no—
325#239—348no—
326#239—68no—
327#239C22×D3116yescomplemented
328D3×Q8—316no—
329D3×Q8—348no—
330D3×Q8—348no—
331D3×Q8—68no—
332D3×Q8C22×D3116yescomplemented
333#237—348no—
334#237—396no—
335#237—396no—
336#237—348no—
337#237—348no—
338#237—624no—
339#237C22×D3148yescomplemented
340D3×D4—396no—
341D3×D4—348no—
342D3×D4—396no—
343D3×D4—348no—
344D3×D4—348no—
345D3×D4—624no—
346D3×D4C22×D3148yescomplemented
347#235—348no—
348#235—396no—
349#235—348no—
350#235—348no—
351#235—316no—
352#235—348no—
353#235—348no—
354#235—348no—
355#235—348no—
356#235—348no—
357#235—348no—
358#235—348no—
359#235—624no—
360#235C22×D3148yescomplemented
361C2×D12—36no—
362C2×D12—32no—
363C2×D12—36no—
364C2×D12—36no—
365C2×D12—348no—
366C2×D12—36no—
367C2×D12—348no—
368C2×D12—63no—
369C2×D12C22×D316yes—
370C2×C4×D3—312no—
371C2×C4×D3—32no—
372C2×C4×D3—36no—
373C2×C4×D3—36no—
374C2×C4×D3—36no—
375C2×C4×D3—348no—
376C2×C4×D3—312no—
377C2×C4×D3—396no—
378C2×C4×D3—61no—
379C2×C4×D3—63no—
380C2×C4×D3—63no—
381C2×C4×D3—63no—
382C2×C4×D3—624no—
383C2×C4×D3C22×D316yes—
384C2×C4×D3C22×D312yes—
385C2×C4×D3C22×D316yes—
386C2×C4×D3C22×D316yes—
387C2×C4×D3C22×D3148yescomplemented
388C2×Dic6—36no—
389C2×Dic6—32no—
390C2×Dic6—36no—
391C2×Dic6—36no—
392C2×Dic6—36no—
393C2×Dic6—348no—
394C2×Dic6—348no—
395C2×Dic6—63no—
396C2×Dic6C22×D316yes—
397C22×C32—26no—
398C22×C32C2516yes—
399C22×C32C2511yescharacteristic
400C2×C3⋊D3—22no—
401C2×C3⋊D3—26no—
402C2×C3⋊D3—412no—
403C2×C3⋊D3C2516yes—
404C2×C3⋊D3C2512yes—
405C2×C3×D3—212no—
406C2×C3×D3—24no—
407C2×C3×D3—424no—
408C2×C3×D3C25112yes—
409C2×C3×D3C2514yes—
410D32—424no—
411C32×C4C2516yes—
412C32×C4C2512yes—
413C3⋊Dic3C2516yes—
414C3⋊Dic3C2512yes—
415C3×Dic3C25112yes—
416C3×Dic3C2514yes—
4172−1+4—916no—
4182−1+4—932no—
4192−1+4—948no—
420H(5,𝔽2)—948no—
421H(5,𝔽2)—996no—
422H(5,𝔽2)—916no—
423C2×#41—332no—
424C2×#41—32no—
425C2×#41—36no—
426C2×#41—36no—
427C2×#41—91no—
428C2×#41—96no—
429C2×#41—93no—
430C2×#41—93no—
431C2×#41—96no—
432C2×#41—93no—
433C2×#41—948no—
434C2×#41—912no—
435C2×#41—96no—
436C2×#41—96no—
437C2×#41—996no—
438C2×#41—96no—
439C2×#41—96no—
440C2×#41—948no—
441C2×#41—916no—
442C2×#41—91no—
443C2×#41—93no—
444C2×#41—93no—
445C2×#41D3211yescharacteristic, complemented
446C22×Q8—32no—
447C22×Q8—93no—
448C22×Q8—96no—
449C22×Q8—93no—
450C22×Q8—91no—
451C22×D4—36no—
452C22×D4—96no—
453C22×D4—96no—
454C22×D4—96no—
455C22×D4—93no—
456C22×D4—912no—
457C22×D4—93no—
458C22×D4—93no—
459C23×C4—36no—
460C23×C4—96no—
461C23×C4—93no—
462C23×C3—23no—
463C23×C3—36no—
464C23×C3—32no—
465C23×C3—324no—
466C23×C3—1212no—
467C23×C3C23×D316yes—
468C22×D3—36no—
469C22×D3—32no—
470C22×D3—324no—
471C22×D3—348no—
472C22×D3—412no—
473C22×D3—61no—
474C22×D3—63no—
475C22×D3—612no—
476C22×D3—1224no—
477C22×D3—1212no—
478C22×D3—1212no—
479C22×D3C23×D316yes—
480C22×D3C23×D312yes—
481C22×D3C23×D3124yes—
482C3×Q8—24no—
483C3×Q8—324no—
484C3×Q8C23×D318yes—
485C3×D4—212no—
486C3×D4—348no—
487C3×D4—324no—
488C3×D4C23×D3124yes—
489C2×C3×C4—23no—
490C2×C3×C4—212no—
491C2×C3×C4—21no—
492C2×C3×C4—32no—
493C2×C3×C4—36no—
494C2×C3×C4—324no—
495C2×C3×C4—324no—
496C2×C3×C4—324no—
497C2×C3×C4—38no—
498C2×C3×C4—324no—
499C2×C3×C4C23×D316yes—
500C2×C3×C4C23×D3124yes—
501C2×C3×C4C23×D312yes—
502#67—348no—
503#67—324no—
504#67—38no—
505#67—324no—
506#67—324no—
507#67—38no—
508#67—324no—
509#67—324no—
510#67—324no—
511#67—624no—
512#67C23×D3148yes—
513C2×Dic3—36no—
514C2×Dic3—32no—
515C2×Dic3—324no—
516C2×Dic3—348no—
517C2×Dic3—63no—
518C2×Dic3—61no—
519C2×Dic3—612no—
520C2×Dic3C23×D312yes—
521C2×Dic3C23×D316yes—
522C2×Dic3C23×D3124yes—
523D12—324no—
524D12—38no—
525D12—324no—
526D12—324no—
527D12—324no—
528D12—612no—
529D12C23×D3124yes—
530C4×D3—348no—
531C4×D3—38no—
532C4×D3—324no—
533C4×D3—324no—
534C4×D3—324no—
535C4×D3—348no—
536C4×D3—64no—
537C4×D3—612no—
538C4×D3—612no—
539C4×D3—612no—
540C4×D3C23×D3124yes—
541C4×D3C23×D318yes—
542C4×D3C23×D3124yes—
543C4×D3C23×D3124yes—
544Dic6—324no—
545Dic6—38no—
546Dic6—324no—
547Dic6—324no—
548Dic6—324no—
549Dic6—612no—
550Dic6C23×D3124yes—
551C2×C32—26no—
552C2×C32#58512yescomplemented
553C2×C32C2611yescharacteristic
554C3⋊D3—22no—
555C3⋊D3—26no—
556C3×D3—212no—
557C3×D3—24no—
558C24—36no—
559C24—96no—
560C24—93no—
561#41—316no—
562#41—348no—
563#41—348no—
564#41—98no—
565#41—948no—
566#41—924no—
567#41—924no—
568#41—948no—
569#41—924no—
570#41—996no—
571#41—948no—
572#41—948no—
573#41—948no—
574#41—948no—
575#41—98no—
576#41—924no—
577#41—924no—
578#41C2×D3218yescomplemented
579C2×Q8—316no—
580C2×Q8—36no—
581C2×Q8—91no—
582C2×Q8—96no—
583C2×Q8—93no—
584C2×Q8—924no—
585C2×Q8—948no—
586C2×Q8—924no—
587C2×Q8—98no—
588C2×Q8—93no—
589C2×Q8C2×D3211yescharacteristic
590C2×D4—312no—
591C2×D4—348no—
592C2×D4—36no—
593C2×D4—948no—
594C2×D4—92no—
595C2×D4—96no—
596C2×D4—96no—
597C2×D4—96no—
598C2×D4—948no—
599C2×D4—948no—
600C2×D4—924no—
601C2×D4—996no—
602C2×D4—91no—
603C2×D4—96no—
604C2×D4—93no—
605C2×D4—924no—
606C2×D4—96no—
607C2×D4—924no—
608C2×D4—93no—
609C2×D4C2×D3213yes—
610C22×C4—36no—
611C22×C4—36no—
612C22×C4—36no—
613C22×C4—348no—
614C22×C4—32no—
615C22×C4—36no—
616C22×C4—96no—
617C22×C4—948no—
618C22×C4—912no—
619C22×C4—93no—
620C22×C4—93no—
621C22×C4—93no—
622C22×C4—924no—
623C22×C4—93no—
624C22×C4—91no—
625C22×C4C2×D3213yes—
626C22×C3—212no—
627C22×C3—21no—
628C22×C3—26no—
629C22×C3—312no—
630C22×C3—34no—
631C22×C3—46no—
632C22×C3—612no—
633C22×C3—64no—
634C22×C3—1224no—
635C22×C3C24×D3112yes—
636C22×C3C24×D312yes—
637C2×D3—24no—
638C2×D3—212no—
639C2×D3—34no—
640C2×D3—312no—
641C2×D3—424no—
642C2×D3—62no—
643C2×D3—66no—
644C2×D3—64no—
645C2×D3—64no—
646C2×D3—612no—
647C2×D3—126no—
648C2×D3—1248no—
649C2×D3—1224no—
650C2×D3—1224no—
651C2×D3C24×D3112yes—
652C2×D3C24×D314yes—
653C3×C4—26no—
654C3×C4—22no—
655C3×C4—34no—
656C3×C4—312no—
657C3×C4C24×D3112yes—
658C3×C4C24×D314yes—
659Dic3—312no—
660Dic3—34no—
661Dic3—66no—
662Dic3—62no—
663Dic3C24×D314yes—
664Dic3C24×D3112yes—
665C32C2×#58511yescharacteristic, complemented, Sylow
666C23—32no—
667C23—36no—
668C23—324no—
669C23—924no—
670C23—91no—
671C23—93no—
672C23—912no—
673C23—1212no—
674C23—366no—
675C23—3612no—
676C23C22×D3213yes—
677Q8—324no—
678Q8—94no—
679Q8—924no—
680Q8—912no—
681Q8—912no—
682Q8C22×D3214yes—
683D4—348no—
684D4—324no—
685D4—98no—
686D4—924no—
687D4—924no—
688D4—924no—
689D4—94no—
690D4—924no—
691D4—912no—
692D4—924no—
693D4—912no—
694D4C22×D32112yes—
695C2×C4—32no—
696C2×C4—36no—
697C2×C4—324no—
698C2×C4—38no—
699C2×C4—324no—
700C2×C4—324no—
701C2×C4—324no—
702C2×C4—924no—
703C2×C4—948no—
704C2×C4—93no—
705C2×C4—91no—
706C2×C4—912no—
707C2×C4—912no—
708C2×C4—94no—
709C2×C4—912no—
710C2×C4—912no—
711C2×C4C22×D3213yes—
712C2×C4C22×D32112yes—
713C2×C4C22×D3211yescharacteristic
714C2×C3—212no—
715C2×C3—22no—
716C2×C3—21no—
717C2×C3—46no—
718C2×C3—612no—
719C2×C3—64no—
720C2×C3#596414yescomplemented
721C2×C3C25×D312yes—
722D3—24no—
723D3—212no—
724D3—64no—
725D3—64no—
726D3—612no—
727D3—126no—
728C22—26no—
729C22—34no—
730C22—312no—
731C22—64no—
732C22—612no—
733C22—92no—
734C22—96no—
735C22—1224no—
736C22—182no—
737C22—186no—
738C22—3612no—
739C22—3624no—
740C22C23×D3216yes—
741C22C23×D3211yescharacteristic
742C4—34no—
743C4—312no—
744C4—96no—
745C4—92no—
746C4C23×D3212yes—
747C4C23×D3216yes—
748C3—21no—
749C3C2×#596412yescomplemented
750C2—26no—
751C2—64no—
752C2—612no—
753C2—182no—
754C2—186no—
755C2#1059669512yesdirect product factor
756C2C24×D3211yescharacteristic
subgroupG/H
centerC2×C4C22×D32
commutator, cosocleC2×C32C26
FrattiniC2C24×D32
FittingC2×C32×#41C22
socleC22×C32C25
hypercenterC2×#41D32
hypocenterC32C2×#585
LCSG ▷ C2×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. C2×#41×C3⋊D3C2semidirect
2. C2×C3×D3×#41C2semidirect
3. #10596695C2direct (N × H)
4. C2×#64320C2semidirect
5. C2×#64316C2semidirect
6. C2×#64315C2semidirect
7. C2×#64314C2semidirect
8. C2×#64313C2semidirect
9. C2×#64309C2semidirect
10. C2×#64306C2semidirect
11. C2×D3×#235C2semidirect
12. C22×#3798C2semidirect
14. C2×C32×#41C22semidirect
15. #41×C3⋊D3C22semidirect
16. C2×#3832C22semidirect
17. C2×Q8×C3⋊D3C22semidirect
18. C2×#3830C22semidirect
19. C2×D4×C3⋊D3C22semidirect
20. C2×#3828C22semidirect
21. C22×C4×C3⋊D3C22semidirect
22. C3×D3×#41C22semidirect
23. C2×C3×#239C22semidirect
24. C2×C3×D3×Q8C22semidirect
25. C2×C3×#237C22semidirect
26. C2×C3×D3×D4C22semidirect
27. C2×C3×#235C22semidirect
28. C22×C3×C4×D3C22semidirect
29. C2×#3811C22semidirect
30. C2×D3×#67C22semidirect
31. C22×#627C22semidirect
32. C22×#626C22semidirect
33. C22×#625C22semidirect
34. C2×#3805C22semidirect
35. C2×#3804C22semidirect
36. #64320C22semidirect
37. #64316C22semidirect
38. #64315C22semidirect
39. #64314C22semidirect
40. #64313C22semidirect
41. #64309C22semidirect
42. #64306C22semidirect
43. D3×#235C22semidirect
44. C2×#3802C22semidirect
45. C2×D3×D12C22semidirect
46. C2×C4×D32C22semidirect
47. C2×#3799C22semidirect
48. C2×#3798C22semidirect
49. C2×#3798C22semidirect
50. C2×#3798C22semidirect
51. C2×#3798C22semidirect
52. C2×#3798C22semidirect
53. C2×#3798C22semidirect
54. C2×#3798C22semidirect
55. C2×#3797C22semidirect
56. C2×#3796C22semidirect
57. C2×#3795C22semidirect
58. C2×D3×Dic6C22semidirect
69. C2×D3×#41D3semidirect
79. C32×#41C23semidirect
85. #3832C23semidirect
86. Q8×C3⋊D3C23semidirect
87. #3830C23semidirect
88. D4×C3⋊D3C23semidirect
89. #3828C23semidirect
95. C2×C4×C3⋊D3C23semidirect
99. C3×#239C23semidirect
100. C3×D3×Q8C23semidirect
101. C3×#237C23semidirect
102. C3×D3×D4C23semidirect
103. C3×#235C23semidirect
109. C2×C3×C4×D3C23semidirect
111. #3811C23semidirect
112. D3×#67C23semidirect
116. C2×#627C23semidirect
121. C2×#626C23semidirect
125. C2×#625C23semidirect
127. #3805C23semidirect
128. #3804C23semidirect
130. #3802C23semidirect
131. D3×D12C23semidirect
132. C4×D32C23semidirect
133. #3799C23semidirect
134. #3798C23semidirect
135. #3798C23semidirect
136. #3798C23semidirect
137. #3798C23semidirect
138. #3798C23semidirect
139. #3798C23semidirect
140. #3797C23semidirect
141. #3796C23semidirect
142. #3795C23semidirect
143. D3×Dic6C23semidirect
150. C2×C3×#41C2×D3semidirect
165. D3×#41C2×D3semidirect
172. C2×#239C2×D3semidirect
177. C2×D3×Q8C2×D3semidirect
186. C2×#237C2×D3semidirect
193. C2×D3×D4C2×D3semidirect
209. C2×#235C2×D3semidirect
215. C22×C4×D3C2×D3semidirect
287. C3×#41C22×D3semidirect
327. #239C22×D3semidirect
332. D3×Q8C22×D3semidirect
339. #237C22×D3semidirect
346. D3×D4C22×D3semidirect
360. #235C22×D3semidirect
387. C2×C4×D3C22×D3semidirect
445. C2×#41D32semidirect
552. C2×C32#585semidirect
578. #41C2×D32semidirect
665. C32C2×#585semidirect
720. C2×C3#5964semidirect
749. C3C2×#5964semidirect
755. C2#10596695direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#41×C3⋊D32
C2×C3×D3×#412
#105966952
C2×#643202
C2×#643162
C2×#643152
C2×#643142
C2×#643132
C2×#643092
C2×#643062
C2×D3×#2352
C22×#37982
C2×#59643