Finite Group Databasebeta

← C2×#10593939 #11903833

Subgroups — C2×#10593939 #11903833

Order 1152.

2693 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
1C2×C4×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
2C2×C3×#875C211yesmaximal, characteristic, complemented
3C2×C3×C4×Dic6C211yesmaximal, characteristic, complemented
4C2×#63911C211yesmaximal, characteristic
5C2×#63907C212yesmaximal, complemented
6C2×Dic3×D12C211yesmaximal, characteristic, complemented
7C2×#63890C212yesmaximal, complemented
8C2×#63881C212yesmaximal, complemented
9C2×#63864C211yesmaximal, characteristic, complemented
10C2×#63853C212yesmaximal, complemented
11C2×Dic3×Dic6C211yesmaximal, characteristic, complemented
12#10593939C2116yesmaximal, direct product factor
13C2×#5681—31nomaximal
14C2×#5585—31nomaximal
15C22×C4⋊(C3⋊D3)C2211yescharacteristic
16C22×C4×C3⋊D3C2212yes—
17C22×C3×D12C2211yescharacteristic
18C22×C3×Dic6C2211yescharacteristic
19C22×C3×Dic6C2211yescharacteristic
20C22×#626C2212yes—
21C22×#626C2212yes—
22C22×D3×Dic3C2212yes—
23C2×C32×C42C2211yescharacteristic
24C2×#3752C2212yes—
25C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
26C4×C4⋊(C3⋊D3)C2218yescomplemented
27C2×C3×(C2×D3)⋊C4C2212yes—
28C2×C3×(C2×D3)⋊C4C2212yes—
29C2×C3×C4⋊Dic3C2211yescharacteristic
30C2×C3×Dic3⋊C4C2211yescharacteristic
31C2×C3×Dic3⋊C4C2211yescharacteristic
32C2×C3×C4×Dic3C2211yescharacteristic
33C2×C3×C4×Dic3C2211yescharacteristic
34C3×#875C2218yescomplemented
35C3×C4×Dic6C2218yescomplemented
36C2×Dic3⋊Dic3C2212yes—
37C2×#3722C2212yes—
38C2×#3722C2212yes—
39C2×(C2×D3)⋊Dic3C2212yes—
40C2×Dic32C2212yes—
41#63911C2218yes—
42#63907C22116yescomplemented
43Dic3×D12C2218yescomplemented
44#63890C22116yescomplemented
45#63881C22116yescomplemented
46#63864C2218yescomplemented
47#63853C22116yescomplemented
48Dic3×Dic6C2218yescomplemented
49C2×C3×#124—31no—
50C2×C3×C4×Q8—31no—
51C2×#947—32no—
52C2×#947—31no—
53C2×Q8×Dic3—31no—
54C2×#940—31no—
55C2×D4×Dic3—31no—
56#5681—316no—
57#5585—316no—
58C2×#894—32no—
59C2×#894—32no—
60C2×#893—32no—
61C2×#886—32no—
62C2×#885—32no—
63C2×#883—32no—
64C2×#67⋊C4—32no—
65C2×#875—31no—
66C2×#875D311yescharacteristic, complemented
67C2×#874—31no—
68C2×C4×D12—31no—
69C2×C4×D12—31no—
70C2×C4×D12—31no—
71C2×C4×D12—61no—
72C2×C4×Dic6—31no—
73C2×C4×Dic6D311yescharacteristic, complemented
74C23×C3⋊D3C2312yes—
75C23×C3×D3C2312yes—
76C22×C32×C4C2311yescharacteristic
77C22×C32×C4C2311yescharacteristic
78C22×C32×C4C2311yescharacteristic
79C22×C3⋊Dic3C2312yes—
80C2×C4⋊(C3⋊D3)—24no—
81C2×C4⋊(C3⋊D3)C2314yes—
82C2×C4×C3⋊D3—44no—
83C2×C4×C3⋊D3C2318yes—
84C22×C3×Dic3C2311yescharacteristic
85C22×C3×Dic3C2311yescharacteristic
86C22×C3×Dic3C2311yescharacteristic
87C22×C3×Dic3C2312yes—
88C22×C3×Dic3C2311yescharacteristic
89C2×C3×D12—24no—
90C2×C3×D12C2314yes—
91C2×C3×Dic6—24no—
92C2×C3×Dic6—24no—
93C2×C3×Dic6C2314yes—
94C2×C3×Dic6C2314yes—
95C2×#626—28no—
96C2×#626—44no—
97C2×#626C2318yes—
98C2×#626C2318yes—
99C2×D3×Dic3—44no—
100C2×D3×Dic3C2318yes—
101C32×C42C2314yes—
102#3752C2318yes—
103C4⋊(C3⋊Dic3)C2314yes—
104C3×(C2×D3)⋊C4C2318yes—
105C3×(C2×D3)⋊C4C2318yes—
106C3×C4⋊Dic3C2314yes—
107C3×Dic3⋊C4C2314yes—
108C3×Dic3⋊C4C2314yes—
109C3×C4×Dic3C2314yes—
110C3×C4×Dic3C2314yes—
111Dic3⋊Dic3C2318yes—
112#3722C2318yes—
113#3722C2318yes—
114(C2×D3)⋊Dic3C2318yes—
115Dic32C2318yes—
116C2×#559—91noSylow
117C22×C3×Q8—31no—
118C22×C3×Q8—31no—
119C22×C3×D4—31no—
120C22×#67—32no—
121C22×#67—32no—
122C23×Dic3—32no—
123C22×D12—32no—
124C22×D12—31no—
125C22×D12—31no—
126C22×D12—32no—
127C22×D12—61no—
128C22×D12C2×D311yescharacteristic
129C22×C4×D3—32no—
130C22×C4×D3—32no—
131C22×C4×D3—32no—
132C22×C4×D3—62no—
133C22×Dic6C2×D311yescharacteristic
134C22×Dic6C2×D311yescharacteristic
135C3×#124—38no—
136C3×C4×Q8—38no—
137C2×C3×C4⋊C4—31no—
138C2×C3×C4⋊C4—31no—
139C2×C3×C4⋊C4—31no—
140C2×C3×C22⋊C4—32no—
141C2×C3×C22⋊C4—32no—
142C2×C3×C42—21no—
143C2×C3×C42—31no—
144C2×C3×C42—31no—
145C2×C3×C42C2×D311yescharacteristic
146C2×C3×C42C2×D311yescharacteristic
147C2×#217—32no—
148#947—316no—
149#947—38no—
150Q8×Dic3—38no—
151#940—38no—
152D4×Dic3—38no—
153C2×(C2×D3)⋊C4—32no—
154C2×(C2×D3)⋊C4—32no—
155C2×(C2×D3)⋊C4—32no—
156C2×(C2×D3)⋊C4—32no—
157C2×(C2×D3)⋊C4—32no—
158C2×(C2×D3)⋊C4—32no—
159C2×(C2×D3)⋊C4—32no—
160C2×(C2×D3)⋊C4—62no—
161C2×(C2×D3)⋊C4C2×D312yes—
162C2×(C2×D3)⋊C4C2×D312yes—
163C2×C4⋊Dic3—31no—
164C2×C4⋊Dic3—31no—
165C2×C4⋊Dic3—32no—
166C2×C4⋊Dic3—61no—
167C2×C4⋊Dic3C2×D311yescharacteristic
168C2×Dic3⋊C4—32no—
169C2×Dic3⋊C4C2×D311yescharacteristic
170C2×Dic3⋊C4C2×D311yescharacteristic
171C2×C4×Dic3—32no—
172C2×C4×Dic3—32no—
173C2×C4×Dic3C2×D311yescharacteristic
174C2×C4×Dic3C2×D311yescharacteristic
175#894—316no—
176#894—316no—
177#893—316no—
178#886—316no—
179#885—316no—
180#883—316no—
181#67⋊C4—316no—
182#875—38no—
183#875C2×D318yescomplemented
184#874—38no—
185C4×D12—38no—
186C4×D12—38no—
187C4×D12—38no—
188C4×D12—68no—
189C4×Dic6—38no—
190C4×Dic6C2×D318yescomplemented
191C23×C32C2411yescharacteristic
192C22×C3⋊D3—24no—
193C22×C3⋊D3—24no—
194C22×C3⋊D3—24no—
195C22×C3⋊D3C2414yes—
196C22×C3×D3—24no—
197C22×C3×D3—24no—
198C22×C3×D3—24no—
199C22×C3×D3C2414yes—
200C2×C32×C4—22no—
201C2×C32×C4—22no—
202C2×C32×C4#4114yes—
203C2×C32×C4C2412yes—
204C2×C32×C4C2412yes—
205C2×C32×C4C2412yes—
206C2×C3⋊Dic3—24no—
207C2×C3⋊Dic3C2414yes—
208C4⋊(C3⋊D3)—28no—
209C4×C3⋊D3—48no—
210C2×C3×Dic3—22no—
211C2×C3×Dic3—24no—
212C2×C3×Dic3—22no—
213C2×C3×Dic3—22no—
214C2×C3×Dic3#4114yes—
215C2×C3×Dic3C2414yes—
216C2×C3×Dic3C2412yes—
217C2×C3×Dic3C2412yes—
218C2×C3×Dic3C2412yes—
219C2×C3×Dic3C2412yes—
220C3×D12—28no—
221C3×Dic6—28no—
222C3×Dic6—28no—
223#626—216no—
224#626—48no—
225D3×Dic3—48no—
226#559—916no—
227C2×#127—91no—
228C2×#124—31no—
229C2×#124—91no—
230C2×#124—92no—
231C2×#123—92no—
232C2×#123—92no—
233C2×C4×Q8—31no—
234C2×C4×Q8—91no—
235C2×C4×D4—91no—
236C2×C4×D4—92no—
237C2×C4×D4—91no—
238C24×C3—32no—
239C23×D3—32no—
240C23×D3—32no—
241C23×D3—62no—
242C23×D3C22×D312yes—
243C2×C3×Q8—34no—
244C2×C3×Q8—34no—
245C2×C3×Q8—64no—
246C2×C3×Q8—64no—
247C2×C3×D4—34no—
248C2×C3×D4—64no—
249C22×C3×C4—21no—
250C22×C3×C4—21no—
251C22×C3×C4—21no—
252C22×C3×C4—31no—
253C22×C3×C4—32no—
254C22×C3×C4—31no—
255C22×C3×C4—31no—
256C22×C3×C4—31no—
257C22×C3×C4C22×D311yescharacteristic
258C22×C3×C4C22×D311yescharacteristic
259C22×C3×C4C22×D311yescharacteristic
260C22×C3×C4C22×D311yescharacteristic
261C22×C3×C4C22×D311yescharacteristic
262C22×C3×C4C22×D311yescharacteristic
263C2×#67—38no—
264C2×#67—38no—
265C2×#67—68no—
266C2×#67—124no—
267C22×Dic3—32no—
268C22×Dic3—32no—
269C22×Dic3—38no—
270C22×Dic3—62no—
271C22×Dic3—124no—
272C22×Dic3C22×D312yes—
273C22×Dic3C22×D311yescharacteristic
274C22×Dic3C22×D311yescharacteristic
275C22×Dic3C22×D311yescharacteristic
276C22×Dic3C22×D311yescharacteristic
277C2×D12—24no—
278C2×D12—38no—
279C2×D12—34no—
280C2×D12—34no—
281C2×D12—38no—
282C2×D12—64no—
283C2×D12—68no—
284C2×D12—68no—
285C2×D12—64no—
286C2×D12—64no—
287C2×D12—124no—
288C2×D12C22×D314yes—
289C2×C4×D3—38no—
290C2×C4×D3—38no—
291C2×C4×D3—38no—
292C2×C4×D3—68no—
293C2×C4×D3—124no—
294C2×C4×D3—124no—
295C2×C4×D3—124no—
296C2×C4×D3—128no—
297C2×Dic6—24no—
298C2×Dic6—24no—
299C2×Dic6C22×D314yes—
300C2×Dic6C22×D314yes—
301C3×C4⋊C4—34no—
302C3×C4⋊C4—34no—
303C3×C4⋊C4—34no—
304C3×C22⋊C4—38no—
305C3×C22⋊C4—38no—
306C3×C42—24no—
307C3×C42—34no—
308C3×C42—34no—
309C3×C42C22×D314yes—
310C3×C42C22×D314yes—
311#217—38no—
312(C2×D3)⋊C4—38no—
313(C2×D3)⋊C4—38no—
314(C2×D3)⋊C4—38no—
315(C2×D3)⋊C4—38no—
316(C2×D3)⋊C4—38no—
317(C2×D3)⋊C4—38no—
318(C2×D3)⋊C4—38no—
319(C2×D3)⋊C4—68no—
320(C2×D3)⋊C4C22×D318yes—
321(C2×D3)⋊C4C22×D318yes—
322C4⋊Dic3—34no—
323C4⋊Dic3—34no—
324C4⋊Dic3—38no—
325C4⋊Dic3—64no—
326C4⋊Dic3C22×D314yes—
327Dic3⋊C4—38no—
328Dic3⋊C4C22×D314yes—
329Dic3⋊C4C22×D314yes—
330C4×Dic3—38no—
331C4×Dic3—38no—
332C4×Dic3C22×D314yes—
333C4×Dic3C22×D314yes—
334C22×C32C2×#4112yes—
335C22×C32C2×#4112yes—
336C22×C32H(5,𝔽2)12yes—
337C22×C32C2511yescharacteristic
338C2×C3⋊D3—24no—
339C2×C3⋊D3—24no—
340C2×C3⋊D3—24no—
341C2×C3⋊D3—48no—
342C2×C3×D3—24no—
343C2×C3×D3—24no—
344C2×C3×D3—24no—
345C2×C3×D3—48no—
346C32×C4—22no—
347C32×C4—22no—
348C32×C4C2×#4114yes—
349C3⋊Dic3—24no—
350C3×Dic3—22no—
351C3×Dic3—24no—
352C3×Dic3—22no—
353C3×Dic3—22no—
354C3×Dic3C2×#4114yes—
355C22×Q8—31no—
356C22×Q8—31no—
357C22×D4—31no—
358C22×D4—92no—
359C22×D4—92no—
360C22×D4—91no—
361C23×C4—92no—
362C23×C4—92no—
363#127—98no—
364#124—38no—
365#124—98no—
366#124—916no—
367#123—916no—
368#123—916no—
369C4×Q8—38no—
370C4×Q8—98no—
371C4×D4—98no—
372C4×D4—916no—
373C4×D4—98no—
374C2×C4⋊C4—31no—
375C2×C4⋊C4—31no—
376C2×C4⋊C4—31no—
377C2×C4⋊C4—92no—
378C2×C4⋊C4—91no—
379C2×C22⋊C4—32no—
380C2×C22⋊C4—32no—
381C2×C22⋊C4—92no—
382C2×C22⋊C4—92no—
383C2×C22⋊C4—92no—
384C2×C22⋊C4—92no—
385C2×C42—31no—
386C2×C42—31no—
387C2×C42—92no—
388C2×C42D3211yescharacteristic
389C23×C3—21no—
390C23×C3—34no—
391C23×C3—64no—
392C23×C3—64no—
393C23×C3—64no—
394C23×C3C23×D311yescharacteristic
395C23×C3C23×D311yescharacteristic
396C22×D3—24no—
397C22×D3—24no—
398C22×D3—24no—
399C22×D3—34no—
400C22×D3—34no—
401C22×D3—64no—
402C22×D3—68no—
403C22×D3—64no—
404C22×D3—64no—
405C22×D3—64no—
406C22×D3—64no—
407C22×D3—64no—
408C22×D3—64no—
409C22×D3—124no—
410C22×D3—124no—
411C22×D3C23×D314yes—
412C3×Q8—68no—
413C3×Q8—68no—
414C3×D4—68no—
415C2×C3×C4—24no—
416C2×C3×C4—22no—
417C2×C3×C4—22no—
418C2×C3×C4—22no—
419C2×C3×C4—22no—
420C2×C3×C4—22no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—24no—
424C2×C3×C4—34no—
425C2×C3×C4—32no—
426C2×C3×C4—34no—
427C2×C3×C4—32no—
428C2×C3×C4—32no—
429C2×C3×C4—32no—
430C2×C3×C4—42no—
431C2×C3×C4—64no—
432C2×C3×C4—62no—
433C2×C3×C4—62no—
434C2×C3×C4—62no—
435C2×C3×C4#23714yes—
436C2×C3×C4#23914yes—
437C2×C3×C4C23×D312yes—
438C2×C3×C4C23×D312yes—
439C2×C3×C4C23×D312yes—
440C2×C3×C4C23×D312yes—
441C2×C3×C4C23×D312yes—
442C2×C3×C4C23×D312yes—
443#67—616no—
444#67—128no—
445C2×Dic3—22no—
446C2×Dic3—24no—
447C2×Dic3—22no—
448C2×Dic3—22no—
449C2×Dic3—34no—
450C2×Dic3—34no—
451C2×Dic3—64no—
452C2×Dic3—64no—
453C2×Dic3—64no—
454C2×Dic3—124no—
455C2×Dic3—128no—
456C2×Dic3#23514yes—
457C2×Dic3C23×D314yes—
458C2×Dic3C23×D312yes—
459C2×Dic3C23×D312yes—
460C2×Dic3C23×D312yes—
461C2×Dic3C23×D312yes—
462D12—28no—
463D12—616no—
464D12—616no—
465D12—68no—
466D12—68no—
467D12—128no—
468C4×D3—128no—
469C4×D3—128no—
470C4×D3—128no—
471C4×D3—1216no—
472Dic6—28no—
473Dic6—28no—
474C2×C32#55914yescomplemented
475C2×C32C22×#4111yescharacteristic
476C2×C32C22×#4111yescharacteristic
477C2×C32C2×H(5,𝔽2)11yescharacteristic
478C3⋊D3—44no—
479C3×D3—44no—
480C24—32no—
481C24—92no—
482C2×Q8—34no—
483C2×Q8—34no—
484C2×Q8—64no—
485C2×Q8—64no—
486C2×D4—34no—
487C2×D4—64no—
488C2×D4—98no—
489C2×D4—98no—
490C2×D4—94no—
491C2×D4—188no—
492C2×D4—184no—
493C2×D4—364no—
494C22×C4—31no—
495C22×C4—31no—
496C22×C4—31no—
497C22×C4—31no—
498C22×C4—32no—
499C22×C4—98no—
500C22×C4—92no—
501C22×C4—98no—
502C22×C4—364no—
503C22×C4—364no—
504C22×C4C2×D3211yescharacteristic
505C22×C4C2×D3211yescharacteristic
506C22×C4C2×D3211yescharacteristic
507C4⋊C4—34no—
508C4⋊C4—34no—
509C4⋊C4—34no—
510C4⋊C4—98no—
511C4⋊C4—94no—
512C22⋊C4—38no—
513C22⋊C4—38no—
514C22⋊C4—98no—
515C22⋊C4—98no—
516C22⋊C4—98no—
517C22⋊C4—98no—
518C42—34no—
519C42—34no—
520C42—98no—
521C42C2×D3214yes—
522C22×C3—22no—
523C22×C3—22no—
524C22×C3—22no—
525C22×C3—21no—
526C22×C3—64no—
527C22×C3—64no—
528C22×C3—64no—
529C22×C3—128no—
530C22×C3C2×#23512yes—
531C22×C3C2×#23712yes—
532C22×C3C2×#23912yes—
533C22×C3D3×#4112yes—
534C22×C3#100912yes—
535C22×C3#100912yes—
536C22×C3C24×D311yescharacteristic
537C22×C3C24×D311yescharacteristic
538C2×D3—24no—
539C2×D3—24no—
540C2×D3—24no—
541C2×D3—48no—
542C2×D3—68no—
543C2×D3—64no—
544C2×D3—64no—
545C2×D3—64no—
546C2×D3—64no—
547C2×D3—64no—
548C2×D3—64no—
549C2×D3—124no—
550C2×D3—124no—
551C2×D3—1216no—
552C2×D3—128no—
553C2×D3—128no—
554C3×C4—24no—
555C3×C4—22no—
556C3×C4—22no—
557C3×C4—22no—
558C3×C4—22no—
559C3×C4—24no—
560C3×C4—34no—
561C3×C4—42no—
562C3×C4—64no—
563C3×C4—62no—
564C3×C4—62no—
565C3×C4—62no—
566C3×C4C2×#23714yes—
567C3×C4C2×#23914yes—
568Dic3—22no—
569Dic3—24no—
570Dic3—22no—
571Dic3—22no—
572Dic3—64no—
573Dic3—64no—
574Dic3—124no—
575Dic3C2×#23514yes—
576C32C2×#55911yescharacteristic, complemented, Sylow
577C23—34no—
578C23—64no—
579C23—64no—
580C23—64no—
581C23—94no—
582C23—184no—
583C23—184no—
584C23—184no—
585C23C22×D3211yescharacteristic
586Q8—68no—
587Q8—68no—
588D4—68no—
589D4—1816no—
590D4—188no—
591D4—368no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—34no—
595C2×C4—32no—
596C2×C4—32no—
597C2×C4—32no—
598C2×C4—32no—
599C2×C4—34no—
600C2×C4—64no—
601C2×C4—62no—
602C2×C4—62no—
603C2×C4—62no—
604C2×C4—94no—
605C2×C4—184no—
606C2×C4—368no—
607C2×C4—368no—
608C2×C4#379614yes—
609C2×C4C22×D3212yes—
610C2×C4C22×D3212yes—
611C2×C4C22×D3212yes—
612C2×C3—21no—
613C2×C3—21no—
614C2×C3—21no—
615C2×C3—24no—
616C2×C3—124no—
617C2×C3#558514yescomplemented
618C2×C3#568114yescomplemented
619C2×C3C22×#23511yescharacteristic
620C2×C3C22×#23711yescharacteristic
621C2×C3C22×#23911yescharacteristic
622C2×C3C2×D3×#4111yescharacteristic
623C2×C3C2×#100911yescharacteristic
624C2×C3C2×#100911yescharacteristic
625D3—44no—
626D3—128no—
627D3—124no—
628D3—124no—
629C22—64no—
630C22—64no—
631C22—64no—
632C22—128no—
633C22—184no—
634C22—184no—
635C22—184no—
636C22—368no—
637C22C2×#379612yes—
638C22D3×#23512yes—
639C22#6430812yes—
640C22C23×D3211yescharacteristic
641C4—22no—
642C4—22no—
643C4—34no—
644C4—64no—
645C4—62no—
646C4—62no—
647C4—62no—
648C4—184no—
649C4C2×#379614yes—
650C3—21no—
651C3C2×#558511yescharacteristic, complemented
652C3C2×#568111yescharacteristic, complemented
653C2—124no—
654C2—364no—
655C2#1059393914yesdirect product factor
656C2C22×#379611yescharacteristic
657C2C2×D3×#23511yescharacteristic
658C2C2×#6430811yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C42C22
socleC23×C32C24
prime radicalC2×#63911C2
hypercenterC2×C42D32
hypocenterC32C2×#559
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
1. C2×C4×C4⋊(C3⋊D3)C2semidirect
2. C2×C3×#875C2semidirect
3. C2×C3×C4×Dic6C2semidirect
5. C2×#63907C2semidirect
6. C2×Dic3×D12C2semidirect
7. C2×#63890C2semidirect
8. C2×#63881C2semidirect
9. C2×#63864C2semidirect
10. C2×#63853C2semidirect
11. C2×Dic3×Dic6C2semidirect
12. #10593939C2direct (N × H)
26. C4×C4⋊(C3⋊D3)C22semidirect
34. C3×#875C22semidirect
35. C3×C4×Dic6C22semidirect
42. #63907C22semidirect
43. Dic3×D12C22semidirect
44. #63890C22semidirect
45. #63881C22semidirect
46. #63864C22semidirect
47. #63853C22semidirect
48. Dic3×Dic6C22semidirect
66. C2×#875D3semidirect
73. C2×C4×Dic6D3semidirect
183. #875C2×D3semidirect
190. C4×Dic6C2×D3semidirect
474. C2×C32#559semidirect
576. C32C2×#559semidirect
617. C2×C3#5585semidirect
618. C2×C3#5681semidirect
651. C3C2×#5585semidirect
652. C3C2×#5681semidirect
655. C2#10593939direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C4×C4⋊(C3⋊D3)2
C2×C3×#8752
C2×C3×C4×Dic62
C2×#639112
C2×#639072
C2×Dic3×D122
C2×#638902
C2×#638812
C2×#638642
C2×#638532
C2×Dic3×Dic62
#105939392
C2×#56813
C2×#55853