Finite Group Databasebeta

← C2×#75633 #10965734

Subgroups — C2×#75633 #10965734

Order 768.

2074 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#388C211yesmaximal, characteristic
2C2×#4986C211yesmaximal, characteristic, complemented
3C2×#4980C211yesmaximal, characteristic, complemented
4C2×#4949C211yesmaximal, characteristic
5C2×#4953C211yesmaximal, characteristic
6C2×#4945C211yesmaximal, characteristic
7C2×#4945C211yesmaximal, characteristic
8C2×#4951C211yesmaximal, characteristic
9C2×#4951C211yesmaximal, characteristic
10C2×#4928C211yesmaximal, characteristic, complemented
11C2×C4×C4⋊Dic3C211yesmaximal, characteristic, complemented
12#75633C2116yesmaximal, direct product factor
13C2×#4660C211yesmaximal, characteristic, complemented
14C2×#4653C211yesmaximal, characteristic, complemented
15C2×#4652C211yesmaximal, characteristic, complemented
16C2×#4649C211yesmaximal, characteristic, complemented
17C2×#2596—31nomaximal, Sylow
18C22×C3×C4⋊C4C2211yescharacteristic
19C22×C3×C22⋊C4C2211yescharacteristic
20C22×C3×C22⋊C4C2211yescharacteristic
21C22×C3×C22⋊C4C2211yescharacteristic
22C22×C3×C42C2211yescharacteristic
23C22×#217C2211yescharacteristic
24C22×#217C2211yescharacteristic
25C22×#217C2211yescharacteristic
26C22×#217C2211yescharacteristic
27C22×C4⋊Dic3C2211yescharacteristic
28C22×C4⋊Dic3C2211yescharacteristic
29C22×C4⋊Dic3C2211yescharacteristic
30C22×C4⋊Dic3C2211yescharacteristic
31C22×Dic3⋊C4C2211yescharacteristic
32C22×Dic3⋊C4C2211yescharacteristic
33C22×Dic3⋊C4C2211yescharacteristic
34C22×Dic3⋊C4C2211yescharacteristic
35C22×C4×Dic3C2211yescharacteristic
36C22×C4×Dic3C2211yescharacteristic
37C22×C4×Dic3C2211yescharacteristic
38C22×C4×Dic3C2211yescharacteristic
39C3×#388C2218yes—
40C2×C3×#95C2211yescharacteristic
41C2×C3×#95C2211yescharacteristic
42C2×C3⋊#95C2211yescharacteristic
43C2×C3⋊#95C2211yescharacteristic
44C2×C3⋊#95C2211yescharacteristic
45C2×C3⋊#95C2211yescharacteristic
46C2×C3⋊#95C2211yescharacteristic
47C2×C3⋊#95C2211yescharacteristic
48C2×C3⋊#95C2211yescharacteristic
49C2×C3⋊#95C2211yescharacteristic
50C2×C3⋊#95C2211yescharacteristic
51C2×C3⋊#95C2211yescharacteristic
52C2×C3⋊#95C2211yescharacteristic
53C2×C3⋊#95C2211yescharacteristic
54#4986C2218yescomplemented
55#4980C2218yescomplemented
56#4953C2218yes—
57#4951C2218yes—
58#4951C2218yes—
59#4949C2218yes—
60#4945C2218yes—
61#4945C2218yes—
62C4×C4⋊Dic3C2218yescomplemented
63#4928C2218yescomplemented
64#4660C2218yescomplemented
65#4653C2218yescomplemented
66#4652C2218yescomplemented
67#4649C2218yescomplemented
68#2596—316no—
69C2×#400—31no—
70C2×#400—31no—
71C2×#399—31no—
72C2×#397—31no—
73C2×#389—31no—
74C2×#388—31no—
75C2×#388—31no—
76C2×#388—31no—
77C2×#388—31no—
78C2×#388D311yescharacteristic
79C2×#387—31no—
80C2×#387—31no—
81C2×#387—31no—
82C2×C4×C4⋊C4—31no—
83C2×C4×C4⋊C4—31no—
84C25×C3C2311yescharacteristic
85C23×C3×C4C2311yescharacteristic
86C23×C3×C4C2311yescharacteristic
87C23×C3×C4C2311yescharacteristic
88C23×C3×C4C2311yescharacteristic
89C23×C3×C4C2311yescharacteristic
90C23×C3×C4C2311yescharacteristic
91C23×Dic3C2311yescharacteristic
92C23×Dic3C2311yescharacteristic
93C23×Dic3C2311yescharacteristic
94C23×Dic3C2311yescharacteristic
95C23×Dic3C2311yescharacteristic
96C23×Dic3C2311yescharacteristic
97C23×Dic3C2311yescharacteristic
98C23×Dic3C2311yescharacteristic
99C2×C3×C4⋊C4—24no—
100C2×C3×C4⋊C4C2314yes—
101C2×C3×C22⋊C4—24no—
102C2×C3×C22⋊C4—24no—
103C2×C3×C22⋊C4—24no—
104C2×C3×C22⋊C4C2314yes—
105C2×C3×C22⋊C4C2314yes—
106C2×C3×C22⋊C4C2314yes—
107C2×C3×C42—24no—
108C2×C3×C42C2314yes—
109C2×#217—24no—
110C2×#217—24no—
111C2×#217—42no—
112C2×#217—42no—
113C2×#217C2314yes—
114C2×#217C2314yes—
115C2×#217C2314yes—
116C2×#217C2314yes—
117C2×C4⋊Dic3—24no—
118C2×C4⋊Dic3—24no—
119C2×C4⋊Dic3—24no—
120C2×C4⋊Dic3—24no—
121C2×C4⋊Dic3C2314yes—
122C2×C4⋊Dic3C2314yes—
123C2×C4⋊Dic3C2314yes—
124C2×C4⋊Dic3C2314yes—
125C2×Dic3⋊C4—24no—
126C2×Dic3⋊C4—24no—
127C2×Dic3⋊C4—24no—
128C2×Dic3⋊C4—42no—
129C2×Dic3⋊C4C2314yes—
130C2×Dic3⋊C4C2314yes—
131C2×Dic3⋊C4C2314yes—
132C2×Dic3⋊C4C2314yes—
133C2×C4×Dic3—24no—
134C2×C4×Dic3—42no—
135C2×C4×Dic3—42no—
136C2×C4×Dic3—42no—
137C2×C4×Dic3C2314yes—
138C2×C4×Dic3C2314yes—
139C2×C4×Dic3C2314yes—
140C2×C4×Dic3C2314yes—
141C3×#95C2314yes—
142C3×#95C2314yes—
143C3⋊#95C2314yes—
144C3⋊#95C2314yes—
145C3⋊#95C2314yes—
146C3⋊#95C2314yes—
147C3⋊#95C2314yes—
148C3⋊#95C2314yes—
149C3⋊#95C2314yes—
150C3⋊#95C2314yes—
151C3⋊#95C2314yes—
152C3⋊#95C2314yes—
153C3⋊#95C2314yes—
154C3⋊#95C2314yes—
155C22×C4⋊C4—31no—
156C22×C4⋊C4—31no—
157C22×C4⋊C4—31no—
158C22×C4⋊C4—31no—
159C22×C4⋊C4—31no—
160C22×C4⋊C4—31no—
161C22×C4⋊C4—31no—
162C22×C4⋊C4—31no—
163C22×C4⋊C4C2×D311yescharacteristic
164C22×C22⋊C4—31no—
165C22×C22⋊C4—31no—
166C22×C22⋊C4—31no—
167C22×C22⋊C4—31no—
168C22×C22⋊C4C2×D311yescharacteristic
169C22×C22⋊C4C2×D311yescharacteristic
170C22×C22⋊C4C2×D311yescharacteristic
171C22×C42—31no—
172C22×C42—31no—
173C22×C42—31no—
174C22×C42—31no—
175C22×C42C2×D311yescharacteristic
176#400—38no—
177#400—38no—
178#399—38no—
179#397—38no—
180#389—38no—
181#388—38no—
182#388—38no—
183#388—38no—
184#388—38no—
185#388C2×D318yes—
186#387—38no—
187#387—38no—
188#387—38no—
189C4×C4⋊C4—38no—
190C4×C4⋊C4—38no—
191C2×#95—31no—
192C2×#95—31no—
193C2×#95—31no—
194C2×#95—31no—
195C2×#95—31no—
196C2×#95—31no—
197C2×#95—31no—
198C2×#95—31no—
199C2×#95—31no—
200C2×#95—31no—
201C2×#95—31no—
202C2×#95—31no—
203C2×#95C2×D311yescharacteristic
204C2×#95C2×D311yescharacteristic
205C24×C3—22no—
206C24×C3—22no—
207C24×C3—22no—
208C24×C3—22no—
209C24×C3—22no—
210C24×C3—22no—
211C24×C3—22no—
212C24×C3C2412yes—
213C24×C3C2411yescharacteristic
214C22×C3×C4—22no—
215C22×C3×C4—22no—
216C22×C3×C4—22no—
217C22×C3×C4—22no—
218C22×C3×C4—22no—
219C22×C3×C4—22no—
220C22×C3×C4—22no—
221C22×C3×C4—22no—
222C22×C3×C4—22no—
223C22×C3×C4—22no—
224C22×C3×C4—22no—
225C22×C3×C4—22no—
226C22×C3×C4—22no—
227C22×C3×C4—22no—
228C22×C3×C4—22no—
229C22×C3×C4#4114yes—
230C22×C3×C4#4114yes—
231C22×C3×C4#4114yes—
232C22×C3×C4C2412yes—
233C22×C3×C4C2412yes—
234C22×C3×C4C2412yes—
235C22×C3×C4C2412yes—
236C22×C3×C4C2412yes—
237C22×C3×C4C2412yes—
238C22×Dic3—22no—
239C22×Dic3—22no—
240C22×Dic3—22no—
241C22×Dic3—22no—
242C22×Dic3—22no—
243C22×Dic3—22no—
244C22×Dic3—22no—
245C22×Dic3—22no—
246C22×Dic3—22no—
247C22×Dic3—22no—
248C22×Dic3—22no—
249C22×Dic3—22no—
250C22×Dic3—22no—
251C22×Dic3—22no—
252C22×Dic3—22no—
253C22×Dic3—22no—
254C22×Dic3—22no—
255C22×Dic3—22no—
256C22×Dic3—22no—
257C22×Dic3—22no—
258C22×Dic3—22no—
259C22×Dic3—22no—
260C22×Dic3#4114yes—
261C22×Dic3#4114yes—
262C22×Dic3C2412yes—
263C22×Dic3C2412yes—
264C22×Dic3C2412yes—
265C22×Dic3C2412yes—
266C22×Dic3C2412yes—
267C22×Dic3C2412yes—
268C22×Dic3C2412yes—
269C22×Dic3C2412yes—
270C3×C4⋊C4—28no—
271C3×C22⋊C4—28no—
272C3×C22⋊C4—28no—
273C3×C22⋊C4—28no—
274C3×C42—28no—
275#217—28no—
276#217—28no—
277#217—44no—
278#217—44no—
279C4⋊Dic3—28no—
280C4⋊Dic3—28no—
281C4⋊Dic3—28no—
282C4⋊Dic3—28no—
283Dic3⋊C4—28no—
284Dic3⋊C4—28no—
285Dic3⋊C4—28no—
286Dic3⋊C4—44no—
287C4×Dic3—28no—
288C4×Dic3—44no—
289C4×Dic3—44no—
290C4×Dic3—44no—
291C25C22×D311yescharacteristic
292C23×C4—31no—
293C23×C4—31no—
294C23×C4—31no—
295C23×C4—31no—
296C23×C4—31no—
297C23×C4—31no—
298C23×C4—31no—
299C23×C4—31no—
300C23×C4C22×D311yescharacteristic
301C23×C4C22×D311yescharacteristic
302C23×C4C22×D311yescharacteristic
303C23×C4C22×D311yescharacteristic
304C23×C4C22×D311yescharacteristic
305C23×C4C22×D311yescharacteristic
306C2×C4⋊C4—24no—
307C2×C4⋊C4—34no—
308C2×C4⋊C4—34no—
309C2×C4⋊C4—34no—
310C2×C4⋊C4—34no—
311C2×C4⋊C4—34no—
312C2×C4⋊C4—34no—
313C2×C4⋊C4—34no—
314C2×C4⋊C4—34no—
315C2×C4⋊C4—64no—
316C2×C4⋊C4—64no—
317C2×C4⋊C4—64no—
318C2×C4⋊C4—64no—
319C2×C4⋊C4—64no—
320C2×C4⋊C4—64no—
321C2×C4⋊C4—64no—
322C2×C4⋊C4—122no—
323C2×C4⋊C4C22×D314yes—
324C2×C22⋊C4—24no—
325C2×C22⋊C4—24no—
326C2×C22⋊C4—24no—
327C2×C22⋊C4—34no—
328C2×C22⋊C4—34no—
329C2×C22⋊C4—34no—
330C2×C22⋊C4—34no—
331C2×C22⋊C4—64no—
332C2×C22⋊C4—64no—
333C2×C22⋊C4—122no—
334C2×C22⋊C4—122no—
335C2×C22⋊C4C22×D314yes—
336C2×C22⋊C4C22×D314yes—
337C2×C22⋊C4C22×D314yes—
338C2×C42—24no—
339C2×C42—34no—
340C2×C42—34no—
341C2×C42—34no—
342C2×C42—34no—
343C2×C42—64no—
344C2×C42—122no—
345C2×C42—122no—
346C2×C42—122no—
347C2×C42C22×D314yes—
348#95—34no—
349#95—34no—
350#95—34no—
351#95—34no—
352#95—34no—
353#95—34no—
354#95—34no—
355#95—34no—
356#95—34no—
357#95—34no—
358#95—34no—
359#95—34no—
360#95C22×D314yes—
361#95C22×D314yes—
362C23×C3—22no—
363C23×C3—22no—
364C23×C3—22no—
365C23×C3—22no—
366C23×C3—22no—
367C23×C3—22no—
368C23×C3—22no—
369C23×C3—44no—
370C23×C3—44no—
371C23×C3—44no—
372C23×C3—44no—
373C23×C3—44no—
374C23×C3—44no—
375C23×C3—44no—
376C23×C3C2×#4112yes—
377C23×C3C2×#4112yes—
378C23×C3C2×#4112yes—
379C23×C3C2×#4112yes—
380C23×C3C2×#4112yes—
381C23×C3H(5,𝔽2)12yes—
382C23×C32−1+412yes—
383C23×C3C2511yescharacteristic
384C2×C3×C4—28no—
385C2×C3×C4—28no—
386C2×C3×C4—28no—
387C2×C3×C4—22no—
388C2×C3×C4—22no—
389C2×C3×C4—22no—
390C2×C3×C4—22no—
391C2×C3×C4—22no—
392C2×C3×C4—22no—
393C2×C3×C4—22no—
394C2×C3×C4—22no—
395C2×C3×C4—22no—
396C2×C3×C4—22no—
397C2×C3×C4—22no—
398C2×C3×C4—22no—
399C2×C3×C4—22no—
400C2×C3×C4—22no—
401C2×C3×C4—22no—
402C2×C3×C4—44no—
403C2×C3×C4—44no—
404C2×C3×C4—44no—
405C2×C3×C4C2×#4114yes—
406C2×C3×C4C2×#4114yes—
407C2×C3×C4C2×#4114yes—
408C2×Dic3—28no—
409C2×Dic3—28no—
410C2×Dic3—22no—
411C2×Dic3—22no—
412C2×Dic3—22no—
413C2×Dic3—22no—
414C2×Dic3—22no—
415C2×Dic3—22no—
416C2×Dic3—22no—
417C2×Dic3—22no—
418C2×Dic3—22no—
419C2×Dic3—22no—
420C2×Dic3—22no—
421C2×Dic3—22no—
422C2×Dic3—22no—
423C2×Dic3—22no—
424C2×Dic3—22no—
425C2×Dic3—22no—
426C2×Dic3—22no—
427C2×Dic3—22no—
428C2×Dic3—22no—
429C2×Dic3—22no—
430C2×Dic3—22no—
431C2×Dic3—22no—
432C2×Dic3—44no—
433C2×Dic3—44no—
434C2×Dic3—44no—
435C2×Dic3—44no—
436C2×Dic3—44no—
437C2×Dic3—44no—
438C2×Dic3C2×#4114yes—
439C2×Dic3C2×#4114yes—
440C24—22no—
441C24—22no—
442C24—22no—
443C24—22no—
444C24—22no—
445C24—22no—
446C24—22no—
447C24C23×D312yes—
448C24C23×D311yescharacteristic
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—34no—
465C22×C4—34no—
466C22×C4—32no—
467C22×C4—32no—
468C22×C4—32no—
469C22×C4—32no—
470C22×C4—32no—
471C22×C4—32no—
472C22×C4—32no—
473C22×C4—32no—
474C22×C4—62no—
475C22×C4—62no—
476C22×C4—62no—
477C22×C4—62no—
478C22×C4—62no—
479C22×C4—62no—
480C22×C4—62no—
481C22×C4—62no—
482C22×C4—62no—
483C22×C4—62no—
484C22×C4—62no—
485C22×C4—62no—
486C22×C4—62no—
487C22×C4—62no—
488C22×C4—62no—
489C22×C4—62no—
490C22×C4—62no—
491C22×C4—62no—
492C22×C4—62no—
493C22×C4—62no—
494C22×C4—62no—
495C22×C4—62no—
496C22×C4#23514yes—
497C22×C4#23714yes—
498C22×C4#23714yes—
499C22×C4C23×D312yes—
500C22×C4C23×D312yes—
501C22×C4C23×D312yes—
502C22×C4C23×D312yes—
503C22×C4C23×D312yes—
504C22×C4C23×D312yes—
505C4⋊C4—28no—
506C4⋊C4—68no—
507C4⋊C4—68no—
508C4⋊C4—68no—
509C4⋊C4—68no—
510C4⋊C4—68no—
511C4⋊C4—68no—
512C4⋊C4—68no—
513C4⋊C4—124no—
514C22⋊C4—28no—
515C22⋊C4—28no—
516C22⋊C4—28no—
517C22⋊C4—68no—
518C22⋊C4—68no—
519C22⋊C4—124no—
520C22⋊C4—124no—
521C42—28no—
522C42—68no—
523C42—124no—
524C42—124no—
525C42—124no—
526C22×C3—42no—
527C22×C3—42no—
528C22×C3—42no—
529C22×C3—42no—
530C22×C3—42no—
531C22×C3—42no—
532C22×C3—42no—
533C22×C3—88no—
534C22×C3#52914yes—
535C22×C3#52914yes—
536C22×C3#53914yes—
537C22×C3#55214yes—
538C22×C3#55314yes—
539C22×C3#55614yes—
540C22×C3#55914yes—
541C22×C3C22×#4111yescharacteristic
542C22×C3C22×#4111yescharacteristic
543C22×C3C22×#4111yescharacteristic
544C22×C3C22×#4111yescharacteristic
545C22×C3C22×#4111yescharacteristic
546C22×C3C2×H(5,𝔽2)11yescharacteristic
547C22×C3C2×2−1+411yescharacteristic
548C3×C4—24no—
549C3×C4—24no—
550C3×C4—24no—
551C3×C4—42no—
552C3×C4—42no—
553C3×C4—42no—
554Dic3—24no—
555Dic3—24no—
556Dic3—42no—
557Dic3—42no—
558Dic3—42no—
559Dic3—42no—
560Dic3—42no—
561Dic3—42no—
562C23—22no—
563C23—22no—
564C23—22no—
565C23—22no—
566C23—22no—
567C23—22no—
568C23—22no—
569C23—44no—
570C23—44no—
571C23—44no—
572C23—44no—
573C23—44no—
574C23—44no—
575C23—44no—
576C23C2×#23512yes—
577C23C2×#23712yes—
578C23C2×#23712yes—
579C23D3×#4112yes—
580C23D3×#4112yes—
581C23#100912yes—
582C23#101012yes—
583C23C24×D311yescharacteristic
584C2×C4—28no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—28no—
592C2×C4—28no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—34no—
603C2×C4—34no—
604C2×C4—44no—
605C2×C4—44no—
606C2×C4—44no—
607C2×C4—62no—
608C2×C4—62no—
609C2×C4—62no—
610C2×C4—68no—
611C2×C4—62no—
612C2×C4—68no—
613C2×C4—62no—
614C2×C4—62no—
615C2×C4—62no—
616C2×C4—62no—
617C2×C4—62no—
618C2×C4—62no—
619C2×C4—62no—
620C2×C4—62no—
621C2×C4—62no—
622C2×C4—62no—
623C2×C4—62no—
624C2×C4—62no—
625C2×C4—62no—
626C2×C4—62no—
627C2×C4—62no—
628C2×C4—62no—
629C2×C4—62no—
630C2×C4—62no—
631C2×C4—124no—
632C2×C4—124no—
633C2×C4—124no—
634C2×C4—124no—
635C2×C4—124no—
636C2×C4—124no—
637C2×C4C2×#23514yes—
638C2×C4C2×#23714yes—
639C2×C4C2×#23714yes—
640C2×C3—82no—
641C2×C3#259618yescomplemented
642C2×C3C2×#52911yescharacteristic
643C2×C3C2×#52911yescharacteristic
644C2×C3C2×#53911yescharacteristic
645C2×C3C2×#55211yescharacteristic
646C2×C3C2×#55311yescharacteristic
647C2×C3C2×#55611yescharacteristic
648C2×C3C2×#55911yescharacteristic
649C22—42no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—88no—
657C22#552814yes—
658C22#554214yes—
659C22#556514yes—
660C22#560014yes—
661C22#565014yes—
662C22#568114yes—
663C22#570714yes—
664C22C22×#23511yescharacteristic
665C22C22×#23711yescharacteristic
666C22C22×#23711yescharacteristic
667C22C2×D3×#4111yescharacteristic
668C22C2×D3×#4111yescharacteristic
669C22C2×#100911yescharacteristic
670C22C2×#101011yescharacteristic
671C4—24no—
672C4—24no—
673C4—24no—
674C4—42no—
675C4—42no—
676C4—42no—
677C4—64no—
678C4—64no—
679C4—122no—
680C4—122no—
681C4—122no—
682C4—122no—
683C4—122no—
684C4—122no—
685C3C2×#259611yescharacteristic, complemented, Sylow
686C2—82no—
687C2#7563318yesdirect product factor
688C2C2×#552811yescharacteristic
689C2C2×#556511yescharacteristic
690C2C2×#554211yescharacteristic
691C2C2×#560011yescharacteristic
692C2C2×#565011yescharacteristic
693C2C2×#568111yescharacteristic
694C2C2×#570711yescharacteristic
subgroupG/H
centerC24C23×D3
commutator, cosocleC23×C3C25
FrattiniC23C24×D3
FittingC2×C3×#388C2
socleC24×C3C24
prime radicalC25×C3C23
hypercenterC2×#388D3
hypocenterC3C2×#2596
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C24 ◁ C2×#388

Complements

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

NH ≅ G/Ntype
2. C2×#4986C2semidirect
3. C2×#4980C2semidirect
10. C2×#4928C2semidirect
11. C2×C4×C4⋊Dic3C2semidirect
12. #75633C2direct (N × H)
13. C2×#4660C2semidirect
14. C2×#4653C2semidirect
15. C2×#4652C2semidirect
16. C2×#4649C2semidirect
54. #4986C22semidirect
55. #4980C22semidirect
62. C4×C4⋊Dic3C22semidirect
63. #4928C22semidirect
64. #4660C22semidirect
65. #4653C22semidirect
66. #4652C22semidirect
67. #4649C22semidirect
641. C2×C3#2596semidirect
685. C3C2×#2596semidirect
687. C2#75633direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#3882
C2×#49862
C2×#49802
C2×#49492
C2×#49532
C2×#49452
C2×#49512
C2×#49282
C2×C4×C4⋊Dic32
#756332
C2×#46602
C2×#46532
C2×#46522
C2×#46492
C2×#25963