Finite Group Databasebeta

← C2×#77342 #10961663

Subgroups — C2×#77342 #10961663

Order 768.

2070 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#396C211yesmaximal, characteristic
2C2×#4985C211yesmaximal, characteristic, complemented
3C2×#4986C211yesmaximal, characteristic, complemented
4C2×#4982C211yesmaximal, characteristic, complemented
5C2×#4972C211yesmaximal, characteristic, complemented
6C2×#4978C211yesmaximal, characteristic, complemented
7C2×#4980C211yesmaximal, characteristic, complemented
8C2×#4953C211yesmaximal, characteristic
9C2×#4953C211yesmaximal, characteristic
10C2×#4953C211yesmaximal, characteristic
11C2×#4946C211yesmaximal, characteristic
12C2×#4946C211yesmaximal, characteristic
13C2×Dic3×C22⋊C4C211yesmaximal, characteristic
14#77342C2116yesmaximal, direct product factor
15C2×#4660C211yesmaximal, characteristic, complemented
16C2×#4655C211yesmaximal, characteristic, complemented
17C2×#2652—31nomaximal, Sylow
18C24×Dic3C2211yescharacteristic
19C22×C3×C4⋊C4C2211yescharacteristic
20C22×C3×C4⋊C4C2211yescharacteristic
21C22×C3×C4⋊C4C2211yescharacteristic
22C22×C3×C22⋊C4C2211yescharacteristic
23C22×C3×C22⋊C4C2211yescharacteristic
24C22×C3×C22⋊C4C2211yescharacteristic
25C22×#217C2211yescharacteristic
26C22×#217C2211yescharacteristic
27C22×#217C2211yescharacteristic
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
37C3×#396C2218yes—
38C2×C3×#95C2211yescharacteristic
39C2×C3⋊#95C2211yescharacteristic
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#4985C2218yescomplemented
56#4982C2218yescomplemented
57#4980C2218yescomplemented
58#4978C2218yescomplemented
59#4972C2218yescomplemented
60#4953C2218yes—
61#4953C2218yes—
62#4953C2218yes—
63#4946C2218yes—
64#4946C2218yes—
65Dic3×C22⋊C4C2218yes—
66#4660C2218yescomplemented
67#4655C2218yescomplemented
68#2652—316no—
69C2×#400—31no—
70C2×#400—31no—
71C2×#400—31no—
72C2×#398—31no—
73C2×#397—31no—
74C2×#397—31no—
75C2×#397—31no—
76C2×#396D311yescharacteristic
77C2×#389—31no—
78C2×#387—31no—
79C2×#387—31no—
80C2×#387—31no—
81C2×#385—31no—
82C2×#385—31no—
83C2×C4×C22⋊C4—31no—
84C25×C3C2311yescharacteristic
85C23×C3×C4C2311yescharacteristic
86C23×C3×C4C2311yescharacteristic
87C23×C3×C4C2311yescharacteristic
88C23×C3×C4C2311yescharacteristic
89C23×C3×C4C2311yescharacteristic
90C23×C3×C4C2311yescharacteristic
91C23×Dic3—24no—
92C23×Dic3—42no—
93C23×Dic3—42no—
94C23×Dic3C2311yescharacteristic
95C23×Dic3C2311yescharacteristic
96C23×Dic3C2311yescharacteristic
97C23×Dic3C2311yescharacteristic
98C23×Dic3C2311yescharacteristic
99C23×Dic3C2311yescharacteristic
100C23×Dic3C2311yescharacteristic
101C23×Dic3C2311yescharacteristic
102C23×Dic3C2314yes—
103C2×C3×C4⋊C4—24no—
104C2×C3×C4⋊C4—42no—
105C2×C3×C4⋊C4—42no—
106C2×C3×C4⋊C4C2314yes—
107C2×C3×C4⋊C4C2314yes—
108C2×C3×C4⋊C4C2314yes—
109C2×C3×C22⋊C4—24no—
110C2×C3×C22⋊C4—42no—
111C2×C3×C22⋊C4—42no—
112C2×C3×C22⋊C4C2314yes—
113C2×C3×C22⋊C4C2314yes—
114C2×C3×C22⋊C4C2314yes—
115C2×#217—24no—
116C2×#217—24no—
117C2×#217—24no—
118C2×#217C2314yes—
119C2×#217C2314yes—
120C2×#217C2314yes—
121C2×C4⋊Dic3—24no—
122C2×C4⋊Dic3—42no—
123C2×C4⋊Dic3—42no—
124C2×C4⋊Dic3C2314yes—
125C2×C4⋊Dic3C2314yes—
126C2×C4⋊Dic3C2314yes—
127C2×Dic3⋊C4—24no—
128C2×Dic3⋊C4—24no—
129C2×Dic3⋊C4—42no—
130C2×Dic3⋊C4—42no—
131C2×Dic3⋊C4C2314yes—
132C2×Dic3⋊C4C2314yes—
133C2×Dic3⋊C4C2314yes—
134C2×Dic3⋊C4C2314yes—
135C2×C4×Dic3—42no—
136C2×C4×Dic3—42no—
137C2×C4×Dic3C2314yes—
138C2×C4×Dic3C2314yes—
139C3×#95C2314yes—
140C3⋊#95C2314yes—
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—
155C24×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×C4⋊C4C2×D311yescharacteristic
165C22×C4⋊C4C2×D311yescharacteristic
166C22×C22⋊C4—31no—
167C22×C22⋊C4—31no—
168C22×C22⋊C4—31no—
169C22×C22⋊C4C2×D311yescharacteristic
170C22×C22⋊C4C2×D311yescharacteristic
171C22×C22⋊C4C2×D311yescharacteristic
172C22×C42—31no—
173C22×C42—31no—
174#400—38no—
175#400—38no—
176#400—38no—
177#398—38no—
178#397—38no—
179#397—38no—
180#397—38no—
181#396C2×D318yes—
182#389—38no—
183#387—38no—
184#387—38no—
185#387—38no—
186#385—38no—
187#385—38no—
188C4×C22⋊C4—38no—
189C2×#95—31no—
190C2×#95—31no—
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×#95—31no—
204C2×#95C2×D311yescharacteristic
205C24×C3—22no—
206C24×C3—22no—
207C24×C3—22no—
208C24×C3—22no—
209C24×C3—22no—
210C24×C3—22no—
211C24×C3#4114yes—
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—22no—
230C22×C3×C4—22no—
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—22no—
261C22×Dic3—28no—
262C22×Dic3—44no—
263C22×Dic3—44no—
264C22×Dic3—416no—
265C22×Dic3#4114yes—
266C22×Dic3C2412yes—
267C22×Dic3C2412yes—
268C22×Dic3C2412yes—
269C22×Dic3C2412yes—
270C22×Dic3C2412yes—
271C22×Dic3C2412yes—
272C22×Dic3C2412yes—
273C22×Dic3C2412yes—
274C3×C4⋊C4—28no—
275C3×C4⋊C4—44no—
276C3×C4⋊C4—44no—
277C3×C22⋊C4—28no—
278C3×C22⋊C4—44no—
279C3×C22⋊C4—44no—
280#217—28no—
281#217—28no—
282#217—28no—
283C4⋊Dic3—28no—
284C4⋊Dic3—44no—
285C4⋊Dic3—44no—
286Dic3⋊C4—28no—
287Dic3⋊C4—28no—
288Dic3⋊C4—44no—
289Dic3⋊C4—44no—
290C4×Dic3—44no—
291C4×Dic3—44no—
292C25C22×D311yescharacteristic
293C23×C4—31no—
294C23×C4—31no—
295C23×C4—31no—
296C23×C4—31no—
297C23×C4—31no—
298C23×C4—31no—
299C23×C4—31no—
300C23×C4—31no—
301C23×C4—34no—
302C23×C4—64no—
303C23×C4—122no—
304C23×C4—122no—
305C23×C4C22×D311yescharacteristic
306C23×C4C22×D311yescharacteristic
307C23×C4C22×D311yescharacteristic
308C23×C4C22×D311yescharacteristic
309C23×C4C22×D311yescharacteristic
310C23×C4C22×D311yescharacteristic
311C2×C4⋊C4—24no—
312C2×C4⋊C4—34no—
313C2×C4⋊C4—34no—
314C2×C4⋊C4—34no—
315C2×C4⋊C4—34no—
316C2×C4⋊C4—34no—
317C2×C4⋊C4—34no—
318C2×C4⋊C4—34no—
319C2×C4⋊C4—42no—
320C2×C4⋊C4—42no—
321C2×C4⋊C4—64no—
322C2×C4⋊C4—64no—
323C2×C4⋊C4—64no—
324C2×C4⋊C4—122no—
325C2×C4⋊C4—122no—
326C2×C4⋊C4—122no—
327C2×C4⋊C4—122no—
328C2×C4⋊C4C22×D314yes—
329C2×C4⋊C4C22×D314yes—
330C2×C4⋊C4C22×D314yes—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—34no—
333C2×C22⋊C4—34no—
334C2×C22⋊C4—34no—
335C2×C22⋊C4—42no—
336C2×C22⋊C4—42no—
337C2×C22⋊C4—64no—
338C2×C22⋊C4—64no—
339C2×C22⋊C4—64no—
340C2×C22⋊C4C22×D314yes—
341C2×C22⋊C4C22×D314yes—
342C2×C22⋊C4C22×D314yes—
343C2×C42—34no—
344C2×C42—34no—
345C2×C42—122no—
346C2×C42—122no—
347#95—34no—
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#95—34no—
361#95—34no—
362#95C22×D314yes—
363C23×C3—28no—
364C23×C3—28no—
365C23×C3—28no—
366C23×C3—22no—
367C23×C3—22no—
368C23×C3—22no—
369C23×C3—22no—
370C23×C3—22no—
371C23×C3—22no—
372C23×C3—44no—
373C23×C3—44no—
374C23×C3—44no—
375C23×C3—44no—
376C23×C3C2×#4112yes—
377C23×C3C2×#4114yes—
378C23×C3C2×#4112yes—
379C23×C3C2×#4112yes—
380C23×C3H(5,𝔽2)12yes—
381C23×C3H(5,𝔽2)12yes—
382C23×C32−1+412yes—
383C23×C32−1+412yes—
384C23×C3C2511yescharacteristic
385C2×C3×C4—28no—
386C2×C3×C4—22no—
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—22no—
403C2×C3×C4—44no—
404C2×C3×C4—44no—
405C2×C3×C4—44no—
406C2×C3×C4—44no—
407C2×C3×C4—44no—
408C2×C3×C4C2×#4114yes—
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—22no—
433C2×Dic3—416no—
434C2×Dic3—44no—
435C2×Dic3—44no—
436C2×Dic3—44no—
437C2×Dic3—44no—
438C2×Dic3—44no—
439C2×Dic3—44no—
440C2×Dic3—44no—
441C2×Dic3C2×#4114yes—
442C24—22no—
443C24—22no—
444C24—22no—
445C24—22no—
446C24—22no—
447C24—22no—
448C24#23914yes—
449C24C23×D312yes—
450C24C23×D311yescharacteristic
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—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—34no—
469C22×C4—32no—
470C22×C4—32no—
471C22×C4—32no—
472C22×C4—32no—
473C22×C4—32no—
474C22×C4—32no—
475C22×C4—32no—
476C22×C4—32no—
477C22×C4—68no—
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—62no—
497C22×C4—62no—
498C22×C4—62no—
499C22×C4—62no—
500C22×C4—62no—
501C22×C4—124no—
502C22×C4—124no—
503C22×C4—1216no—
504C22×C4#23714yes—
505C22×C4C23×D312yes—
506C22×C4C23×D312yes—
507C22×C4C23×D312yes—
508C22×C4C23×D312yes—
509C22×C4C23×D312yes—
510C22×C4C23×D312yes—
511C4⋊C4—28no—
512C4⋊C4—44no—
513C4⋊C4—44no—
514C4⋊C4—68no—
515C4⋊C4—68no—
516C4⋊C4—68no—
517C4⋊C4—124no—
518C4⋊C4—124no—
519C4⋊C4—124no—
520C4⋊C4—124no—
521C22⋊C4—28no—
522C22⋊C4—44no—
523C22⋊C4—44no—
524C22⋊C4—68no—
525C22⋊C4—68no—
526C22⋊C4—68no—
527C42—124no—
528C42—124no—
529C22×C3—24no—
530C22×C3—24no—
531C22×C3—24no—
532C22×C3—416no—
533C22×C3—42no—
534C22×C3—42no—
535C22×C3—42no—
536C22×C3—42no—
537C22×C3#52914yes—
538C22×C3#53814yes—
539C22×C3#53914yes—
540C22×C3#53914yes—
541C22×C3#53914yes—
542C22×C3#54114yes—
543C22×C3#54214yes—
544C22×C3C22×#4111yescharacteristic
545C22×C3C22×#4111yescharacteristic
546C22×C3C22×#4111yescharacteristic
547C22×C3C2×H(5,𝔽2)11yescharacteristic
548C22×C3C2×H(5,𝔽2)11yescharacteristic
549C22×C3C2×2−1+411yescharacteristic
550C22×C3C2×2−1+411yescharacteristic
551C3×C4—24no—
552C3×C4—42no—
553C3×C4—42no—
554C3×C4—42no—
555C3×C4—42no—
556C3×C4—42no—
557Dic3—24no—
558Dic3—42no—
559Dic3—42no—
560Dic3—42no—
561Dic3—42no—
562Dic3—42no—
563Dic3—42no—
564Dic3—42no—
565C23—28no—
566C23—28no—
567C23—22no—
568C23—22no—
569C23—22no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—28no—
574C23—44no—
575C23—44no—
576C23—44no—
577C23—44no—
578C23C2×#23712yes—
579C23#100412yes—
580C23#100412yes—
581C23C2×#23914yes—
582C23C2×#23912yes—
583C23D3×#4112yes—
584C23#101012yes—
585C23#101012yes—
586C23C24×D311yescharacteristic
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—28no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
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—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—34no—
606C2×C4—44no—
607C2×C4—44no—
608C2×C4—44no—
609C2×C4—44no—
610C2×C4—44no—
611C2×C4—62no—
612C2×C4—62no—
613C2×C4—68no—
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—62no—
632C2×C4—62no—
633C2×C4—62no—
634C2×C4—62no—
635C2×C4—1216no—
636C2×C4—124no—
637C2×C4—124no—
638C2×C4—124no—
639C2×C4—124no—
640C2×C4—124no—
641C2×C4—124no—
642C2×C4—124no—
643C2×C4C2×#23714yes—
644C2×C3—44no—
645C2×C3#265218yescomplemented
646C2×C3C2×#52911yescharacteristic
647C2×C3C2×#53811yescharacteristic
648C2×C3C2×#53911yescharacteristic
649C2×C3C2×#53911yescharacteristic
650C2×C3C2×#53911yescharacteristic
651C2×C3C2×#54111yescharacteristic
652C2×C3C2×#54211yescharacteristic
653C22—24no—
654C22—24no—
655C22—24no—
656C22—416no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22#560214yes—
662C22#560314yes—
663C22#561314yes—
664C22#562414yes—
665C22#564514yes—
666C22#564514yes—
667C22#570114yes—
668C22C22×#23711yescharacteristic
669C22C2×#100411yescharacteristic
670C22C2×#100411yescharacteristic
671C22C22×#23911yescharacteristic
672C22C2×D3×#4111yescharacteristic
673C22C2×#101011yescharacteristic
674C22C2×#101011yescharacteristic
675C4—24no—
676C4—42no—
677C4—42no—
678C4—42no—
679C4—42no—
680C4—42no—
681C4—64no—
682C4—122no—
683C4—122no—
684C4—122no—
685C4—122no—
686C4—122no—
687C4—122no—
688C4—122no—
689C3C2×#265211yescharacteristic, complemented, Sylow
690C2—44no—
691C2#7734218yesdirect product factor
692C2C2×#560211yescharacteristic
693C2C2×#560311yescharacteristic
694C2C2×#561311yescharacteristic
695C2C2×#562411yescharacteristic
696C2C2×#564511yescharacteristic
697C2C2×#564511yescharacteristic
698C2C2×#570111yescharacteristic
subgroupG/H
centerC24C23×D3
commutator, cosocleC23×C3C25
FrattiniC23C24×D3
FittingC2×C3×#396C2
socleC24×C3C24
prime radicalC25×C3C23
hypercenterC2×#396D3
hypocenterC3C2×#2652
LCSG ▷ C23×C3 ▷ C3
UCSC1 ◁ C24 ◁ C2×#396

Complements

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

NH ≅ G/Ntype
2. C2×#4985C2semidirect
3. C2×#4986C2semidirect
4. C2×#4982C2semidirect
5. C2×#4972C2semidirect
6. C2×#4978C2semidirect
7. C2×#4980C2semidirect
14. #77342C2direct (N × H)
15. C2×#4660C2semidirect
16. C2×#4655C2semidirect
54. #4986C22semidirect
55. #4985C22semidirect
56. #4982C22semidirect
57. #4980C22semidirect
58. #4978C22semidirect
59. #4972C22semidirect
66. #4660C22semidirect
67. #4655C22semidirect
645. C2×C3#2652semidirect
689. C3C2×#2652semidirect
691. C2#77342direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#3962
C2×#49852
C2×#49862
C2×#49822
C2×#49722
C2×#49782
C2×#49802
C2×#49532
C2×#49462
C2×Dic3×C22⋊C42
#773422
C2×#46602
C2×#46552
C2×#26523