Finite Group Databasebeta

← C2×#87019 #11703665

Subgroups — C2×#87019 #11703665

Order 768.

6958 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#557C211yesmaximal, characteristic, complemented
2#87019C2132yesmaximal, direct product factor
3C2×#5730C213yesmaximal, complemented
4C2×#5729C213yesmaximal, complemented
5C2×#5689C213yesmaximal, complemented
6C2×D3×#125C213yesmaximal, complemented
7C2×#5690C213yesmaximal, complemented
8C2×#5690C213yesmaximal, complemented
9C2×#5579C213yesmaximal, complemented
10C2×#5578C213yesmaximal, complemented
11C2×#5569C211yesmaximal, characteristic, complemented
12C2×#5569C211yesmaximal, characteristic, complemented
13C2×#5570C211yesmaximal, characteristic, complemented
14C2×#5574C211yesmaximal, characteristic
15C2×#5574C211yesmaximal, characteristic
16C2×C4×#239C211yesmaximal, characteristic
17C2×#3504—31nomaximal, Sylow
18C22×#239C2211yescharacteristic
19C3×#557C22116yescomplemented
20C2×C3×C4⋊Q8C2213yes—
21C2×C3×#125C2213yes—
22C2×C3×#125C2213yes—
23C2×C3×C4×Q8C2211yescharacteristic
24C2×C3×C4×Q8C2211yescharacteristic
25C2×C3×C4×Q8C2211yescharacteristic
26C2×C3×C4×Q8C2213yes—
27C2×#946C2213yes—
28C2×#946C2216yes—
29C2×Q8×Dic3C2211yescharacteristic
30C2×Q8×Dic3C2211yescharacteristic
31C2×Q8×Dic3C2211yescharacteristic
32C2×#944C2213yes—
33#5730C22148yescomplemented
34#5729C22148yescomplemented
35#5690C22148yescomplemented
36#5690C22148yescomplemented
37#5689C22148yescomplemented
38D3×#125C22148yescomplemented
39#5579C22148yescomplemented
40#5578C22148yescomplemented
41#5574C22116yes—
42#5574C22116yes—
43C4×#239C22116yes—
44#5570C22116yescomplemented
45#5569C22116yescomplemented
46#5569C22116yescomplemented
47C2×#897C2213yes—
48C2×#897C2216yes—
49C2×#896C2213yes—
50C2×#896C2213yes—
51C2×#896C2216yes—
52C2×#896C2216yes—
53C2×#893C2213yes—
54C2×#893C2213yes—
55C2×#893C2213yes—
56C2×#892C2213yes—
57C2×D3×C4⋊C4C2213yes—
58C2×D3×C4⋊C4C2213yes—
59C2×D3×C4⋊C4C2216yes—
60C2×D3×C4⋊C4C2216yes—
61C2×#890C2213yes—
62C2×#890C2213yes—
63C2×#890C2213yes—
64C2×#890C2213yes—
65C2×#889C2211yescharacteristic
66C2×#889C2213yes—
67C2×#889C2216yes—
68C2×#888C2213yes—
69C2×#888C2213yes—
70C2×#888C2213yes—
71C2×C4×D12C2213yes—
72C2×C4×D12C2213yes—
73C2×C4×D12C2213yes—
74C2×#872C2213yes—
75C2×#872C2213yes—
76C2×C42×D3C2213yes—
77C2×#870C2213yes—
78C2×#870C2213yes—
79C2×#869C2213yes—
80C2×C4×Dic6C2213yes—
81C2×C4×Dic6C2213yes—
82C2×C4×Dic6C2213yes—
83#3504—332no—
84C2×#557—31no—
85C2×#557—31no—
86C2×#557—31no—
87C2×#557D311yescharacteristic, complemented
88C2×#554—33no—
89C2×#554—33no—
90C2×#554—33no—
91C2×#554—33no—
92C2×#544—33no—
93C2×#544—33no—
94C2×#533—33no—
95C22×#125—33no—
96C2×#520—31no—
97C2×#520—31no—
98C2×C4×#41—31no—
99C22×C3×Q8C2313yes—
100C22×C3×Q8C2311yescharacteristic
101C2×#239Q8116yescomplemented
102C2×#239C2318yes—
103C22×D12C2313yes—
104C22×C4×D3C2313yes—
105C22×C4×D3C2313yes—
106C22×C4×D3C2316yes—
107C22×C4×D3C2316yes—
108C22×C4×D3C2313yes—
109C22×Dic6C2313yes—
110C22×Dic6C2313yes—
111C22×Dic6C2313yes—
112C3×C4⋊Q8C23124yes—
113C3×#125C23124yes—
114C3×#125C23124yes—
115C3×C4×Q8C2318yes—
116C3×C4×Q8C2318yes—
117C3×C4×Q8C2318yes—
118C3×C4×Q8C23124yes—
119C2×C3×C4⋊C4C2313yes—
120C2×C3×C4⋊C4C2313yes—
121C2×C3×C4⋊C4C2313yes—
122C2×C3×C4⋊C4C2313yes—
123C2×C3×C4⋊C4C2316yes—
124C2×C3×C4⋊C4C2311yescharacteristic
125C2×C3×C4⋊C4C2313yes—
126C2×C3×C42C2313yes—
127C2×C3×C42C2313yes—
128C2×C3×C42C2313yes—
129#946C23148yes—
130#946C23124yes—
131Q8×Dic3C2318yes—
132Q8×Dic3C2318yes—
133Q8×Dic3C2318yes—
134#944C23124yes—
135C2×(C2×D3)⋊C4C2313yes—
136C2×(C2×D3)⋊C4C2313yes—
137C2×(C2×D3)⋊C4C2313yes—
138C2×(C2×D3)⋊C4C2313yes—
139C2×(C2×D3)⋊C4C2316yes—
140C2×C4⋊Dic3C2311yescharacteristic
141C2×C4⋊Dic3C2313yes—
142C2×C4⋊Dic3C2313yes—
143C2×C4⋊Dic3C2313yes—
144C2×C4⋊Dic3C2313yes—
145C2×C4⋊Dic3C2316yes—
146C2×C4⋊Dic3C2313yes—
147C2×Dic3⋊C4C2311yescharacteristic
148C2×Dic3⋊C4C2311yescharacteristic
149C2×Dic3⋊C4C2313yes—
150C2×Dic3⋊C4C2313yes—
151C2×Dic3⋊C4C2313yes—
152C2×Dic3⋊C4C2313yes—
153C2×Dic3⋊C4C2316yes—
154C2×Dic3⋊C4C2316yes—
155C2×Dic3⋊C4C2311yescharacteristic
156C2×Dic3⋊C4C2311yescharacteristic
157C2×Dic3⋊C4C2313yes—
158C2×Dic3⋊C4C2313yes—
159C2×C4×Dic3C2313yes—
160C2×C4×Dic3C2313yes—
161C2×C4×Dic3C2313yes—
162C2×C4×Dic3C2311yescharacteristic
163C2×C4×Dic3C2313yes—
164#897C23148yes—
165#897C23124yes—
166#896C23148yes—
167#896C23148yes—
168#896C23124yes—
169#896C23124yes—
170#893C23124yes—
171#893C23124yes—
172#893C23124yes—
173#892C23124yes—
174D3×C4⋊C4C23124yes—
175D3×C4⋊C4C23148yes—
176D3×C4⋊C4C23148yes—
177D3×C4⋊C4C23124yes—
178#890C23124yes—
179#890C23124yes—
180#890C23124yes—
181#890C23124yes—
182#889C23124yes—
183#889C23148yes—
184#889C2318yes—
185#888C23124yes—
186#888C23124yes—
187#888C23124yes—
188C4×D12C23124yes—
189C4×D12C23124yes—
190C4×D12C23124yes—
191#872C23124yes—
192#872C23124yes—
193C42×D3C23124yes—
194#870C23124yes—
195#870C23124yes—
196#869C23124yes—
197C4×Dic6C23124yes—
198C4×Dic6C23124yes—
199C4×Dic6C23124yes—
200C22×#41—31no—
201#557—316no—
202#557—316no—
203#557—316no—
204#557C2×D3116yescomplemented
205#554—348no—
206#554—348no—
207#554—348no—
208#554—348no—
209#544—348no—
210#544—348no—
211#533—348no—
212C2×C4⋊Q8—33no—
213C2×C4⋊Q8—33no—
214C2×C4⋊Q8—33no—
215C2×C4⋊Q8—33no—
216C2×C4⋊Q8—33no—
217C2×C4⋊Q8C2×D313yes—
218C2×#125—348no—
219C2×#125—33no—
220C2×#125—36no—
221C2×#125—33no—
222C2×#125—33no—
223C2×#125—31no—
224C2×#125—33no—
225C2×#125—33no—
226C2×#125—33no—
227C2×#125—33no—
228C2×#125C2×D313yes—
229C2×#125C2×D313yes—
230C2×C22⋊Q8—33no—
231C2×C22⋊Q8—36no—
232C2×C22⋊Q8—33no—
233C2×C22⋊Q8—33no—
234C2×C22⋊Q8—33no—
235C2×C22⋊Q8—36no—
236C2×C22⋊Q8—36no—
237C2×C22⋊Q8—36no—
238#520—316no—
239#520—316no—
240C4×#41—316no—
241C2×C4×Q8—31no—
242C2×C4×Q8—31no—
243C2×C4×Q8—31no—
244C2×C4×Q8—33no—
245C2×C4×Q8—33no—
246C2×C4×Q8—33no—
247C2×C4×Q8C2×D311yescharacteristic
248C2×C4×Q8C2×D311yescharacteristic
249C2×C4×Q8C2×D311yescharacteristic
250C2×C4×Q8C2×D313yes—
251C2×C4×D4—33no—
252C2×C4×D4—33no—
253C2×C4×D4—33no—
254C2×C4×D4—33no—
255C2×C4×D4—33no—
256C2×C4×D4—33no—
257C2×#117—33no—
258C2×#117—33no—
259C2×#117—33no—
260C22×C4⋊C4—33no—
261C22×C4⋊C4—33no—
262C22×C4⋊C4—36no—
263C22×C4⋊C4—36no—
264C22×C42—33no—
265C23×D3C2413yes—
266C2×C3×Q8—46no—
267C2×C3×Q8C2×Q818yes—
268C2×C3×Q8C24112yes—
269C2×C3×Q8C2414yes—
270C22×C3×C4C2411yescharacteristic
271C22×C3×C4C2413yes—
272C22×C3×C4C2411yescharacteristic
273C22×C3×C4C2413yes—
274C22×C3×C4C2413yes—
275C22×C3×C4C2411yescharacteristic
276C22×C3×C4C2413yes—
277C22×Dic3C2411yescharacteristic
278C22×Dic3C2411yescharacteristic
279C22×Dic3C2411yescharacteristic
280C22×Dic3C2413yes—
281C22×Dic3C2413yes—
282C22×Dic3C2413yes—
283C22×Dic3C2411yescharacteristic
284#239C2×Q8164yescomplemented
285C2×D12C2×Q8124yes—
286C2×D12C24112yes—
287C2×C4×D3—46no—
288C2×C4×D3—412no—
289C2×C4×D3—412no—
290C2×C4×D3—46no—
291C2×C4×D3C2×Q8124yes—
292C2×C4×D3C24112yes—
293C2×C4×D3C24112yes—
294C2×C4×D3C24124yes—
295C2×C4×D3C24124yes—
296C2×C4×D3C24112yes—
297C2×Dic6—46no—
298C2×Dic6—46no—
299C2×Dic6—46no—
300C2×Dic6C24112yes—
301C2×Dic6C24112yes—
302C2×Dic6C24112yes—
303C3×C4⋊C4C24112yes—
304C3×C4⋊C4C24112yes—
305C3×C4⋊C4C24112yes—
306C3×C4⋊C4C24112yes—
307C3×C4⋊C4C24124yes—
308C3×C4⋊C4C2414yes—
309C3×C4⋊C4C24112yes—
310C3×C42C24112yes—
311C3×C42C24112yes—
312C3×C42C24112yes—
313(C2×D3)⋊C4C24112yes—
314(C2×D3)⋊C4C24112yes—
315(C2×D3)⋊C4C24112yes—
316(C2×D3)⋊C4C24112yes—
317(C2×D3)⋊C4C24124yes—
318C4⋊Dic3C2414yes—
319C4⋊Dic3C24112yes—
320C4⋊Dic3C24112yes—
321C4⋊Dic3C24112yes—
322C4⋊Dic3C24112yes—
323C4⋊Dic3C24124yes—
324C4⋊Dic3C24112yes—
325Dic3⋊C4C2414yes—
326Dic3⋊C4C2414yes—
327Dic3⋊C4C24112yes—
328Dic3⋊C4C24112yes—
329Dic3⋊C4C24112yes—
330Dic3⋊C4C24112yes—
331Dic3⋊C4C24124yes—
332Dic3⋊C4C24124yes—
333Dic3⋊C4C2414yes—
334Dic3⋊C4C2414yes—
335Dic3⋊C4C24112yes—
336Dic3⋊C4C24112yes—
337C4×Dic3C24112yes—
338C4×Dic3C24112yes—
339C4×Dic3C24112yes—
340C4×Dic3C2414yes—
341C4×Dic3C24112yes—
342C2×#41—316no—
343C2×#41—38no—
344C22×Q8—33no—
345C22×Q8—33no—
346C22×Q8—33no—
347C22×Q8C22×D313yes—
348C22×Q8C22×D311yescharacteristic
349C22×D4—33no—
350C23×C4—33no—
351C23×C4—36no—
352C23×C4—36no—
353C23×C4—33no—
354C23×C4—33no—
355C4⋊Q8—324no—
356C4⋊Q8—324no—
357C4⋊Q8—324no—
358C4⋊Q8—324no—
359C4⋊Q8—324no—
360C4⋊Q8C22×D3124yes—
361#125—324no—
362#125—348no—
363#125—324no—
364#125—324no—
365#125—38no—
366#125—324no—
367#125—324no—
368#125—324no—
369#125—324no—
370#125C22×D3124yes—
371#125C22×D3124yes—
372C22⋊Q8—324no—
373C22⋊Q8—348no—
374C22⋊Q8—324no—
375C22⋊Q8—324no—
376C22⋊Q8—324no—
377C22⋊Q8—348no—
378C22⋊Q8—348no—
379C22⋊Q8—348no—
380C4×Q8—38no—
381C4×Q8—38no—
382C4×Q8—38no—
383C4×Q8—324no—
384C4×Q8—324no—
385C4×Q8—324no—
386C4×Q8C22×D318yes—
387C4×Q8C22×D318yes—
388C4×Q8C22×D318yes—
389C4×Q8C22×D3124yes—
390C4×D4—324no—
391C4×D4—324no—
392C4×D4—324no—
393C4×D4—324no—
394C4×D4—324no—
395C4×D4—324no—
396#117—324no—
397#117—324no—
398#117—324no—
399C2×C4⋊C4—33no—
400C2×C4⋊C4—33no—
401C2×C4⋊C4—33no—
402C2×C4⋊C4—33no—
403C2×C4⋊C4—33no—
404C2×C4⋊C4—33no—
405C2×C4⋊C4—33no—
406C2×C4⋊C4—36no—
407C2×C4⋊C4—36no—
408C2×C4⋊C4—36no—
409C2×C4⋊C4—31no—
410C2×C4⋊C4—31no—
411C2×C4⋊C4—33no—
412C2×C4⋊C4—31no—
413C2×C4⋊C4—31no—
414C2×C4⋊C4—31no—
415C2×C4⋊C4—33no—
416C2×C4⋊C4—33no—
417C2×C4⋊C4—33no—
418C2×C4⋊C4—324no—
419C2×C4⋊C4—324no—
420C2×C4⋊C4—348no—
421C2×C4⋊C4—348no—
422C2×C4⋊C4C22×D313yes—
423C2×C4⋊C4C22×D313yes—
424C2×C4⋊C4C22×D313yes—
425C2×C4⋊C4C22×D316yes—
426C2×C4⋊C4C22×D313yes—
427C2×C4⋊C4C22×D311yescharacteristic
428C2×C4⋊C4C22×D313yes—
429C2×C22⋊C4—33no—
430C2×C22⋊C4—33no—
431C2×C22⋊C4—36no—
432C2×C22⋊C4—33no—
433C2×C22⋊C4—33no—
434C2×C42—33no—
435C2×C42—33no—
436C2×C42—33no—
437C2×C42—33no—
438C2×C42—31no—
439C2×C42—324no—
440C2×C42C22×D313yes—
441C2×C42C22×D313yes—
442C2×C42C22×D313yes—
443C23×C3C2511yescharacteristic
444C22×D3—26no—
445C22×D3—26no—
446C22×D3C22×Q8112yes—
447C22×D3C2516yes—
448C3×Q8—412no—
449C3×Q8C22×Q8116yes—
450C2×C3×C4—22no—
451C2×C3×C4—26no—
452C2×C3×C4—26no—
453C2×C3×C4—22no—
454C2×C3×C4—26no—
455C2×C3×C4—22no—
456C2×C3×C4C22×Q8112yes—
457C2×C3×C4C2512yes—
458C2×C3×C4C2516yes—
459C2×C3×C4C2512yes—
460C2×C3×C4C2516yes—
461C2×C3×C4C2516yes—
462C2×C3×C4C2512yes—
463C2×C3×C4C2516yes—
464C2×Dic3—22no—
465C2×Dic3—22no—
466C2×Dic3—26no—
467C2×Dic3—26no—
468C2×Dic3—26no—
469C2×Dic3—22no—
470C2×Dic3C22×Q814yes—
471C2×Dic3C2512yes—
472C2×Dic3C2512yes—
473C2×Dic3C2512yes—
474C2×Dic3C2516yes—
475C2×Dic3C2516yes—
476C2×Dic3C2516yes—
477C2×Dic3C2512yes—
478D12C22×Q8148yes—
479C4×D3—412no—
480C4×D3—424no—
481C4×D3—424no—
482C4×D3—412no—
483C4×D3C22×Q8148yes—
484Dic6—412no—
485Dic6—412no—
486Dic6—412no—
487C24—33no—
488#41—364no—
489C2×Q8—312no—
490C2×Q8—312no—
491C2×Q8—312no—
492C2×Q8—46no—
493C2×Q8—126no—
494C2×Q8—126no—
495C2×Q8—126no—
496C2×Q8D3×Q818yes—
497C2×Q8C23×D3112yes—
498C2×Q8C23×D314yes—
499C2×D4—324no—
500C2×D4—312no—
501C22×C4—31no—
502C22×C4—324no—
503C22×C4—312no—
504C22×C4—31no—
505C22×C4—31no—
506C22×C4—31no—
507C22×C4—33no—
508C22×C4—33no—
509C22×C4—33no—
510C22×C4—312no—
511C22×C4—312no—
512C22×C4—324no—
513C22×C4—324no—
514C22×C4—1212no—
515C22×C4—126no—
516C22×C4—126no—
517C22×C4—1212no—
518C22×C4C23×D311yescharacteristic
519C22×C4C23×D313yes—
520C22×C4C23×D311yescharacteristic
521C22×C4C23×D311yescharacteristic
522C22×C4C23×D313yes—
523C22×C4C23×D313yes—
524C22×C4C23×D313yes—
525C4⋊C4—312no—
526C4⋊C4—312no—
527C4⋊C4—312no—
528C4⋊C4—312no—
529C4⋊C4—312no—
530C4⋊C4—312no—
531C4⋊C4—312no—
532C4⋊C4—324no—
533C4⋊C4—324no—
534C4⋊C4—324no—
535C4⋊C4—34no—
536C4⋊C4—34no—
537C4⋊C4—312no—
538C4⋊C4—34no—
539C4⋊C4—34no—
540C4⋊C4—34no—
541C4⋊C4—312no—
542C4⋊C4—312no—
543C4⋊C4—312no—
544C4⋊C4C23×D3112yes—
545C4⋊C4C23×D3112yes—
546C4⋊C4C23×D3112yes—
547C4⋊C4C23×D3124yes—
548C4⋊C4C23×D3112yes—
549C4⋊C4C23×D314yes—
550C4⋊C4C23×D3112yes—
551C22⋊C4—312no—
552C22⋊C4—312no—
553C22⋊C4—324no—
554C22⋊C4—312no—
555C22⋊C4—312no—
556C42—34no—
557C42—312no—
558C42—312no—
559C42—312no—
560C42—312no—
561C42C23×D3112yes—
562C42C23×D3112yes—
563C42C23×D3112yes—
564C22×C3C23×Q812yes—
565C22×C3#58512yes—
566C22×C3#58512yes—
567C22×C3C2611yescharacteristic
568C2×D3—26no—
569C2×D3—26no—
570C2×D3—224no—
571C2×D3C23×Q8112yes—
572C3×C4—22no—
573C3×C4—26no—
574C3×C4—26no—
575C3×C4—22no—
576C3×C4—26no—
577C3×C4—22no—
578C3×C4C23×Q8112yes—
579Dic3—22no—
580Dic3—22no—
581Dic3—26no—
582Dic3—26no—
583Dic3—26no—
584Dic3—22no—
585Dic3C23×Q814yes—
586C23—312no—
587C23—36no—
588C23—66no—
589C23—66no—
590C23C24×D311yescharacteristic
591Q8—412no—
592Q8—1212no—
593Q8—1212no—
594Q8—1212no—
595Q8C2×D3×Q8116yes—
596D4—348no—
597C2×C4—26no—
598C2×C4—26no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—26no—
602C2×C4—22no—
603C2×C4—34no—
604C2×C4—32no—
605C2×C4—348no—
606C2×C4—32no—
607C2×C4—32no—
608C2×C4—32no—
609C2×C4—36no—
610C2×C4—36no—
611C2×C4—36no—
612C2×C4—62no—
613C2×C4—66no—
614C2×C4—62no—
615C2×C4—66no—
616C2×C4—66no—
617C2×C4—62no—
618C2×C4—1224no—
619C2×C4—1212no—
620C2×C4—1212no—
621C2×C4—1224no—
622C2×C4C2×D3×Q8112yes—
623C2×C4C24×D312yes—
624C2×C4C24×D316yes—
625C2×C4C24×D312yes—
626C2×C4C24×D312yes—
627C2×C4C24×D316yes—
628C2×C4C24×D316yes—
629C2×C4C24×D316yes—
630C2×C3#350414yescomplemented
631C2×C3C24×Q811yescharacteristic
632C2×C3C2×#58511yescharacteristic
633C2×C3C2×#58511yescharacteristic
634D3—212no—
635C22—312no—
636C22—66no—
637C22—66no—
638C22—624no—
639C22C22×D3×Q812yes—
640C22#596412yes—
641C22#596812yes—
642C22C25×D311yescharacteristic
643C4—26no—
644C4—26no—
645C4—22no—
646C4—22no—
647C4—26no—
648C4—22no—
649C4—34no—
650C4—62no—
651C4—66no—
652C4—62no—
653C4—66no—
654C4—66no—
655C4—62no—
656C4C22×D3×Q8112yes—
657C3C2×#350411yescharacteristic, complemented, Sylow
658C2—612no—
659C2#8701914yesdirect product factor
660C2C23×D3×Q811yescharacteristic
661C2C2×#596411yescharacteristic
662C2C2×#596811yescharacteristic
subgroupG/H
centerC23C24×D3
commutator, cosocleC22×C3C26
FrattiniC22C25×D3
FittingC2×C3×#557C2
socleC23×C3C25
prime radicalC22×#239C22
hypercenterC2×#557D3
hypocenterC3C2×#3504
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#557

Complements

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

NH ≅ G/Ntype
1. C2×C3×#557C2semidirect
2. #87019C2direct (N × H)
3. C2×#5730C2semidirect
4. C2×#5729C2semidirect
5. C2×#5689C2semidirect
6. C2×D3×#125C2semidirect
7. C2×#5690C2semidirect
8. C2×#5690C2semidirect
9. C2×#5579C2semidirect
10. C2×#5578C2semidirect
11. C2×#5569C2semidirect
12. C2×#5569C2semidirect
13. C2×#5570C2semidirect
19. C3×#557C22semidirect
33. #5730C22semidirect
34. #5729C22semidirect
35. #5690C22semidirect
36. #5690C22semidirect
37. #5689C22semidirect
38. D3×#125C22semidirect
39. #5579C22semidirect
40. #5578C22semidirect
44. #5570C22semidirect
45. #5569C22semidirect
46. #5569C22semidirect
87. C2×#557D3semidirect
101. C2×#239Q8semidirect
204. #557C2×D3semidirect
284. #239C2×Q8semidirect
630. C2×C3#3504semidirect
657. C3C2×#3504semidirect
659. C2#87019direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#5572
#870192
C2×#57302
C2×#57292
C2×#56892
C2×D3×#1252
C2×#56902
C2×#55792
C2×#55782
C2×#55692
C2×#55702
C2×#55742
C2×C4×#2392
C2×#35043