Finite Group Databasebeta

← C2×#10594965 #11900634

Subgroups — C2×#10594965 #11900634

Order 1152.

2713 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×C3⋊Dic3C211yesmaximal, characteristic, complemented
2C2×C3×#930C211yesmaximal, characteristic
3C2×C3×#924C211yesmaximal, characteristic, complemented
4C2×#67⋊Dic3C212yesmaximal, complemented
5C2×#63962C212yesmaximal, complemented
6#10594965C2116yesmaximal, direct product factor
7C2×#63898C211yesmaximal, characteristic, complemented
8C2×#63878C212yesmaximal, complemented
9C2×#63872C211yesmaximal, characteristic, complemented
10C2×#63863C211yesmaximal, characteristic, complemented
11C2×#63862C212yesmaximal, complemented
12C2×#63843C211yesmaximal, characteristic, complemented
13C2×#5624—31nomaximal
14C2×#5600—31nomaximal
15C23×C32×C4C2211yescharacteristic
16C23×C3⋊Dic3C2211yescharacteristic
17C23×C3⋊Dic3C2211yescharacteristic
18C22×C3×#67C2212yes—
19C22×C3×D12C2211yescharacteristic
20C22×C3×Dic6C2211yescharacteristic
21C22×D3×Dic3C2212yes—
22C2×C4×C3⋊Dic3C2211yescharacteristic
23C2×C4×C3⋊Dic3C2211yescharacteristic
24C2×C4×C3⋊Dic3C2211yescharacteristic
25C2×C4×C3⋊Dic3C2211yescharacteristic
26C2×C4×C3⋊Dic3C2218yescomplemented
27C2×C3×#217C2212yes—
28C3×#930C2218yes—
29C2×C3×(C2×D3)⋊C4C2212yes—
30C2×C3×C4⋊Dic3C2211yescharacteristic
31C2×C3×C4⋊Dic3C2211yescharacteristic
32C3×#924C2218yescomplemented
33C2×C3×Dic3⋊C4C2212yes—
34#67⋊Dic3C22116yescomplemented
35C2×Dic3⋊Dic3C2212yes—
36C2×Dic3⋊Dic3C2212yes—
37C2×Dic3⋊Dic3C2212yes—
38#63962C22116yescomplemented
39C2×(C2×D3)⋊Dic3C2212yes—
40C2×(C2×D3)⋊Dic3C2212yes—
41C2×(C2×D3)⋊Dic3C2212yes—
42C2×Dic32C2212yes—
43#63898C2218yescomplemented
44#63878C22116yescomplemented
45#63872C2218yescomplemented
46#63863C2218yescomplemented
47#63862C22116yescomplemented
48#63843C2218yescomplemented
49C2×C3×C22⋊Q8—31no—
50C2×C3×#121—31no—
51C2×#947—31no—
52C2×Q8×Dic3—31no—
53C2×#936—31no—
54C2×#935—32no—
55C2×D4×Dic3—32no—
56C2×D4×Dic3—31no—
57C2×#930D311yescharacteristic
58C2×#924D311yescharacteristic, complemented
59C22×C4×Dic3—31no—
60C22×C4×Dic3—31no—
61C22×C4×Dic3—61no—
62#5624—316no—
63#5600—316no—
64C2×#898—32no—
65C2×#893—31no—
66C2×#892—32no—
67C2×#890—31no—
68C2×#890—31no—
69C2×#887—31no—
70C2×#886—32no—
71C2×#67⋊C4—32no—
72C2×#879—32no—
73C2×#877—32no—
74C24×C32C2311yescharacteristic
75C23×C3×D3C2312yes—
76C22×C32×C4—24no—
77C22×C32×C4C2311yescharacteristic
78C22×C32×C4C2314yes—
79C22×C32×C4C2311yescharacteristic
80C22×C3⋊Dic3—24no—
81C22×C3⋊Dic3—24no—
82C22×C3⋊Dic3C2311yescharacteristic
83C22×C3⋊Dic3C2311yescharacteristic
84C22×C3⋊Dic3C2311yescharacteristic
85C22×C3⋊Dic3C2314yes—
86C22×C3⋊Dic3C2314yes—
87C22×C3⋊Dic3C2311yescharacteristic
88C2×C3×#67—28no—
89C2×C3×#67C2318yes—
90C22×C3×Dic3C2312yes—
91C22×C3×Dic3C2312yes—
92C22×C3×Dic3C2312yes—
93C2×C3×D12—24no—
94C2×C3×D12C2314yes—
95C2×C3×Dic6—24no—
96C2×C3×Dic6C2314yes—
97C2×D3×Dic3—28no—
98C2×D3×Dic3C2318yes—
99C4×C3⋊Dic3C2314yes—
100C4×C3⋊Dic3C2314yes—
101C4×C3⋊Dic3C2314yes—
102C4×C3⋊Dic3C2314yes—
103C3×#217C2318yes—
104C3×(C2×D3)⋊C4C2318yes—
105C3×C4⋊Dic3C2314yes—
106C3×C4⋊Dic3C2314yes—
107C3×Dic3⋊C4C2318yes—
108Dic3⋊Dic3C2318yes—
109Dic3⋊Dic3C2318yes—
110Dic3⋊Dic3C2318yes—
111(C2×D3)⋊Dic3C2318yes—
112(C2×D3)⋊Dic3C2318yes—
113(C2×D3)⋊Dic3C2318yes—
114Dic32C2318yes—
115C2×#529—91noSylow
116C22×C3×Q8—31no—
117C22×C3×D4—32no—
118C22×C3×D4—31no—
119C23×C3×C4—21no—
120C23×C3×C4C2×D311yescharacteristic
121C23×C3×C4C2×D311yescharacteristic
122C22×#67C2×D312yes—
123C23×Dic3—31no—
124C23×Dic3—31no—
125C23×Dic3—31no—
126C23×Dic3—31no—
127C23×Dic3—32no—
128C23×Dic3—61no—
129C23×Dic3—61no—
130C22×D12C2×D311yescharacteristic
131C22×C4×D3—32no—
132C22×Dic6C2×D311yescharacteristic
133C3×C22⋊Q8—38no—
134C3×#121—38no—
135C2×C3×C4⋊C4—32no—
136C2×C3×C4⋊C4—31no—
137C2×C3×C4⋊C4—31no—
138C2×C3×C22⋊C4—32no—
139C2×C3×C22⋊C4—32no—
140C2×#217—32no—
141C2×#217—32no—
142C2×#217—32no—
143C2×#217C2×D312yes—
144#947—38no—
145Q8×Dic3—38no—
146#936—38no—
147#935—316no—
148D4×Dic3—316no—
149D4×Dic3—38no—
150#930C2×D318yes—
151C2×(C2×D3)⋊C4—32no—
152C2×(C2×D3)⋊C4—32no—
153C2×(C2×D3)⋊C4—32no—
154C2×(C2×D3)⋊C4C2×D312yes—
155C2×C4⋊Dic3—32no—
156C2×C4⋊Dic3—32no—
157C2×C4⋊Dic3—32no—
158C2×C4⋊Dic3C2×D311yescharacteristic
159C2×C4⋊Dic3C2×D311yescharacteristic
160#924C2×D318yescomplemented
161C2×Dic3⋊C4—32no—
162C2×Dic3⋊C4—32no—
163C2×Dic3⋊C4—32no—
164C2×Dic3⋊C4C2×D312yes—
165C2×C4×Dic3—31no—
166C2×C4×Dic3—31no—
167C2×C4×Dic3—31no—
168C2×C4×Dic3—31no—
169C2×C4×Dic3—31no—
170C2×C4×Dic3—31no—
171C2×C4×Dic3—31no—
172C2×C4×Dic3—31no—
173C2×C4×Dic3—38no—
174C2×C4×Dic3—38no—
175C2×C4×Dic3—32no—
176C2×C4×Dic3—32no—
177C2×C4×Dic3—61no—
178C2×C4×Dic3—61no—
179C2×C4×Dic3—61no—
180C2×C4×Dic3—61no—
181C2×C4×Dic3—68no—
182#898—316no—
183#893—38no—
184#892—316no—
185#890—38no—
186#890—38no—
187#887—38no—
188#886—316no—
189#67⋊C4—316no—
190#879—316no—
191#877—316no—
192C23×C32—22no—
193C23×C32—22no—
194C23×C32#4114yes—
195C23×C32C2412yes—
196C23×C32C2411yescharacteristic
197C22×C3×D3—24no—
198C22×C3×D3—24no—
199C22×C3×D3—24no—
200C22×C3×D3C2414yes—
201C2×C32×C4—22no—
202C2×C32×C4—28no—
203C2×C32×C4#4114yes—
204C2×C32×C4C2412yes—
205C2×C32×C4C2412yes—
206C2×C3⋊Dic3—28no—
207C2×C3⋊Dic3—22no—
208C2×C3⋊Dic3—22no—
209C2×C3⋊Dic3—22no—
210C2×C3⋊Dic3—28no—
211C2×C3⋊Dic3#4114yes—
212C2×C3⋊Dic3C2412yes—
213C2×C3⋊Dic3C2412yes—
214C2×C3⋊Dic3C2412yes—
215C2×C3⋊Dic3C2412yes—
216C3×#67—216no—
217C2×C3×Dic3—24no—
218C2×C3×Dic3—24no—
219C2×C3×Dic3—24no—
220C2×C3×Dic3C2414yes—
221C2×C3×Dic3C2414yes—
222C2×C3×Dic3C2414yes—
223C3×D12—28no—
224C3×Dic6—28no—
225D3×Dic3—216no—
226#529—916no—
227C2×#126—92no—
228C2×#125—91no—
229C2×#124—91no—
230C2×#123—92no—
231C2×C22⋊Q8—31no—
232C2×#121—31no—
233C2×C4×Q8—91no—
234C2×C4×D4—92no—
235C2×C4×D4—91no—
236C2×#117—92no—
237C22×C42—91no—
238C24×C3—21no—
239C24×C3—32no—
240C24×C3C22×D311yescharacteristic
241C24×C3C22×D311yescharacteristic
242C23×D3C22×D312yes—
243C2×C3×Q8—34no—
244C2×C3×Q8—64no—
245C2×C3×D4—38no—
246C2×C3×D4—34no—
247C2×C3×D4—68no—
248C2×C3×D4—64no—
249C22×C3×C4—28no—
250C22×C3×C4—24no—
251C22×C3×C4—24no—
252C22×C3×C4—24no—
253C22×C3×C4—21no—
254C22×C3×C4—21no—
255C22×C3×C4—32no—
256C22×C3×C4—32no—
257C22×C3×C4—32no—
258C22×C3×C4C22×D311yescharacteristic
259C22×C3×C4C22×D314yes—
260C22×C3×C4C22×D311yescharacteristic
261C22×C3×C4C22×D314yes—
262C22×C3×C4C22×D311yescharacteristic
263C22×C3×C4C22×D311yescharacteristic
264C2×#67—28no—
265C2×#67C22×D318yes—
266C22×Dic3—31no—
267C22×Dic3—31no—
268C22×Dic3—34no—
269C22×Dic3—34no—
270C22×Dic3—31no—
271C22×Dic3—31no—
272C22×Dic3—31no—
273C22×Dic3—31no—
274C22×Dic3—31no—
275C22×Dic3—31no—
276C22×Dic3—34no—
277C22×Dic3—34no—
278C22×Dic3—38no—
279C22×Dic3—61no—
280C22×Dic3—64no—
281C22×Dic3—64no—
282C22×Dic3—61no—
283C22×Dic3—61no—
284C22×Dic3—61no—
285C22×Dic3—68no—
286C22×Dic3—64no—
287C22×Dic3—64no—
288C22×Dic3—68no—
289C22×Dic3—68no—
290C22×Dic3—64no—
291C22×Dic3—64no—
292C22×Dic3C22×D312yes—
293C22×Dic3C22×D312yes—
294C22×Dic3C22×D312yes—
295C2×D12—24no—
296C2×D12C22×D314yes—
297C2×C4×D3—38no—
298C2×C4×D3—68no—
299C2×Dic6—24no—
300C2×Dic6C22×D314yes—
301C3×C4⋊C4—34no—
302C3×C4⋊C4—34no—
303C3×C4⋊C4—38no—
304C3×C22⋊C4—38no—
305C3×C22⋊C4—38no—
306#217—38no—
307#217—38no—
308#217—38no—
309#217C22×D318yes—
310(C2×D3)⋊C4—38no—
311(C2×D3)⋊C4—38no—
312(C2×D3)⋊C4—38no—
313(C2×D3)⋊C4C22×D318yes—
314C4⋊Dic3—38no—
315C4⋊Dic3—38no—
316C4⋊Dic3—38no—
317C4⋊Dic3C22×D314yes—
318C4⋊Dic3C22×D314yes—
319Dic3⋊C4—38no—
320Dic3⋊C4—38no—
321Dic3⋊C4—38no—
322Dic3⋊C4C22×D318yes—
323C4×Dic3—34no—
324C4×Dic3—34no—
325C4×Dic3—34no—
326C4×Dic3—34no—
327C4×Dic3—34no—
328C4×Dic3—34no—
329C4×Dic3—34no—
330C4×Dic3—34no—
331C4×Dic3—38no—
332C4×Dic3—38no—
333C4×Dic3—64no—
334C4×Dic3—64no—
335C4×Dic3—64no—
336C4×Dic3—64no—
337C22×C32—28no—
338C22×C32—22no—
339C22×C32—22no—
340C22×C32C2×#4112yes—
341C22×C32C2×#4114yes—
342C22×C32C2×#4112yes—
343C22×C32C2×#4112yes—
344C22×C32C2511yescharacteristic
345C2×C3×D3—24no—
346C2×C3×D3—24no—
347C2×C3×D3—24no—
348C2×C3×D3—48no—
349C32×C4—22no—
350C32×C4C2×#4114yes—
351C3⋊Dic3—22no—
352C3⋊Dic3—22no—
353C3⋊Dic3—22no—
354C3⋊Dic3C2×#4114yes—
355C3×Dic3—24no—
356C3×Dic3—24no—
357C3×Dic3—24no—
358C22×Q8—31no—
359C22×D4—32no—
360C22×D4—31no—
361C23×C4—92no—
362C23×C4—91no—
363C23×C4—91no—
364C23×C4D3211yescharacteristic
365#126—916no—
366#125—98no—
367#124—98no—
368#123—916no—
369C22⋊Q8—38no—
370#121—38no—
371C4×Q8—98no—
372C4×D4—916no—
373C4×D4—98no—
374#117—916no—
375C2×C4⋊C4—32no—
376C2×C4⋊C4—31no—
377C2×C4⋊C4—31no—
378C2×C4⋊C4—92no—
379C2×C4⋊C4—92no—
380C2×C4⋊C4—92no—
381C2×C22⋊C4—32no—
382C2×C22⋊C4—32no—
383C2×C22⋊C4—92no—
384C2×C22⋊C4—92no—
385C2×C22⋊C4—92no—
386C2×C42—92no—
387C2×C42—91no—
388C2×C42—91no—
389C2×C42—91no—
390C2×C42—91no—
391C2×C42—98no—
392C23×C3—24no—
393C23×C3—24no—
394C23×C3—22no—
395C23×C3—22no—
396C23×C3—22no—
397C23×C3—22no—
398C23×C3—22no—
399C23×C3—21no—
400C23×C3—24no—
401C23×C3—34no—
402C23×C3—64no—
403C23×C3—64no—
404C23×C3—64no—
405C23×C3#23714yes—
406C23×C3#23914yes—
407C23×C3C23×D312yes—
408C23×C3C23×D312yes—
409C23×C3C23×D311yescharacteristic
410C23×C3C23×D311yescharacteristic
411C22×D3—24no—
412C22×D3—24no—
413C22×D3—24no—
414C22×D3C23×D314yes—
415C3×Q8—68no—
416C3×D4—616no—
417C3×D4—68no—
418C2×C3×C4—24no—
419C2×C3×C4—216no—
420C2×C3×C4—22no—
421C2×C3×C4—22no—
422C2×C3×C4—28no—
423C2×C3×C4—28no—
424C2×C3×C4—22no—
425C2×C3×C4—22no—
426C2×C3×C4—24no—
427C2×C3×C4—34no—
428C2×C3×C4—34no—
429C2×C3×C4—34no—
430C2×C3×C4—64no—
431C2×C3×C4—64no—
432C2×C3×C4—64no—
433C2×C3×C4#23714yes—
434C2×C3×C4#23714yes—
435C2×C3×C4C23×D312yes—
436C2×C3×C4C23×D312yes—
437C2×C3×C4C23×D312yes—
438C2×C3×C4C23×D312yes—
439#67—216no—
440C2×Dic3—24no—
441C2×Dic3—24no—
442C2×Dic3—24no—
443C2×Dic3—34no—
444C2×Dic3—34no—
445C2×Dic3—32no—
446C2×Dic3—32no—
447C2×Dic3—32no—
448C2×Dic3—32no—
449C2×Dic3—32no—
450C2×Dic3—32no—
451C2×Dic3—32no—
452C2×Dic3—32no—
453C2×Dic3—64no—
454C2×Dic3—62no—
455C2×Dic3—62no—
456C2×Dic3—62no—
457C2×Dic3—62no—
458C2×Dic3—616no—
459C2×Dic3—68no—
460C2×Dic3—68no—
461C2×Dic3—616no—
462C2×Dic3—616no—
463C2×Dic3—64no—
464C2×Dic3—64no—
465C2×Dic3—64no—
466C2×Dic3—68no—
467C2×Dic3—62no—
468C2×Dic3—62no—
469C2×Dic3—68no—
470C2×Dic3—62no—
471C2×Dic3—62no—
472C2×Dic3—62no—
473C2×Dic3—62no—
474C2×Dic3C23×D314yes—
475C2×Dic3C23×D314yes—
476C2×Dic3C23×D314yes—
477D12—28no—
478C4×D3—616no—
479Dic6—28no—
480C2×C32—24no—
481C2×C32#52914yescomplemented
482C2×C32C22×#4111yescharacteristic
483C2×C32C22×#4111yescharacteristic
484C2×C32C22×#4111yescharacteristic
485C3×D3—44no—
486C24—32no—
487C24C2×D3211yescharacteristic
488C2×Q8—34no—
489C2×Q8—64no—
490C2×D4—38no—
491C2×D4—34no—
492C2×D4—68no—
493C2×D4—64no—
494C22×C4—24no—
495C22×C4—32no—
496C22×C4—32no—
497C22×C4—32no—
498C22×C4—98no—
499C22×C4—91no—
500C22×C4—94no—
501C22×C4—94no—
502C22×C4—91no—
503C22×C4—91no—
504C22×C4—91no—
505C22×C4—188no—
506C22×C4—184no—
507C22×C4—184no—
508C22×C4C2×D3214yes—
509C22×C4C2×D3211yescharacteristic
510C22×C4C2×D3211yescharacteristic
511C4⋊C4—38no—
512C4⋊C4—34no—
513C4⋊C4—34no—
514C4⋊C4—98no—
515C4⋊C4—98no—
516C4⋊C4—98no—
517C22⋊C4—38no—
518C22⋊C4—38no—
519C22⋊C4—98no—
520C22⋊C4—98no—
521C22⋊C4—98no—
522C42—98no—
523C42—94no—
524C42—94no—
525C42—94no—
526C42—94no—
527C22×C3—24no—
528C22×C3—24no—
529C22×C3—216no—
530C22×C3—22no—
531C22×C3—22no—
532C22×C3—22no—
533C22×C3—22no—
534C22×C3—28no—
535C22×C3—28no—
536C22×C3—24no—
537C22×C3—22no—
538C22×C3—22no—
539C22×C3—22no—
540C22×C3—21no—
541C22×C3—64no—
542C22×C3—64no—
543C22×C3—64no—
544C22×C3—128no—
545C22×C3C2×#23714yes—
546C22×C3C2×#23712yes—
547C22×C3C2×#23712yes—
548C22×C3C2×#23712yes—
549C22×C3C2×#23914yes—
550C22×C3C2×#23912yes—
551C22×C3D3×#4112yes—
552C22×C3D3×#4112yes—
553C22×C3C24×D311yescharacteristic
554C22×C3C24×D311yescharacteristic
555C2×D3—24no—
556C2×D3—24no—
557C2×D3—24no—
558C2×D3—48no—
559C3×C4—24no—
560C3×C4—22no—
561C3×C4—22no—
562C3×C4—24no—
563C3×C4—64no—
564C3×C4—64no—
565C3×C4—64no—
566C3×C4C2×#23714yes—
567C3×C4C2×#23714yes—
568Dic3—24no—
569Dic3—24no—
570Dic3—24no—
571Dic3—34no—
572Dic3—34no—
573Dic3—64no—
574Dic3—64no—
575Dic3—64no—
576Dic3—64no—
577Dic3—62no—
578Dic3—62no—
579Dic3—62no—
580Dic3—62no—
581Dic3—62no—
582Dic3—62no—
583C32C2×#52911yescharacteristic, complemented, Sylow
584C23—22no—
585C23—22no—
586C23—34no—
587C23—64no—
588C23—64no—
589C23—64no—
590C23#379614yes—
591C23C22×D3212yes—
592C23C22×D3211yescharacteristic
593Q8—68no—
594D4—616no—
595D4—68no—
596C2×C4—22no—
597C2×C4—28no—
598C2×C4—34no—
599C2×C4—34no—
600C2×C4—34no—
601C2×C4—64no—
602C2×C4—64no—
603C2×C4—64no—
604C2×C4—94no—
605C2×C4—92no—
606C2×C4—92no—
607C2×C4—92no—
608C2×C4—92no—
609C2×C4—1816no—
610C2×C4—188no—
611C2×C4—188no—
612C2×C4—182no—
613C2×C4—182no—
614C2×C4—182no—
615C2×C4#380514yes—
616C2×C4C22×D3212yes—
617C2×C4C22×D3212yes—
618C2×C3—28no—
619C2×C3—24no—
620C2×C3—24no—
621C2×C3—21no—
622C2×C3—21no—
623C2×C3—21no—
624C2×C3—24no—
625C2×C3—124no—
626C2×C3#560014yescomplemented
627C2×C3#562414yescomplemented
628C2×C3C22×#23711yescharacteristic
629C2×C3C22×#23711yescharacteristic
630C2×C3C22×#23711yescharacteristic
631C2×C3C22×#23911yescharacteristic
632C2×C3C2×D3×#4111yescharacteristic
633C2×C3C2×D3×#4111yescharacteristic
634D3—44no—
635C22—22no—
636C22—22no—
637C22—28no—
638C22—64no—
639C22—64no—
640C22—64no—
641C22—128no—
642C22C2×#379614yes—
643C22C2×#379612yes—
644C22#6430612yes—
645C22C2×#380512yes—
646C22C23×D3211yescharacteristic
647C4—22no—
648C4—64no—
649C4—64no—
650C4—64no—
651C4—94no—
652C4—182no—
653C4—182no—
654C4—182no—
655C4C2×#380514yes—
656C3—21no—
657C3C2×#560011yescharacteristic, complemented
658C3C2×#562411yescharacteristic, complemented
659C2—24no—
660C2—124no—
661C2#1059496514yesdirect product factor
662C2C22×#379611yescharacteristic
663C2C2×#6430611yescharacteristic
664C2C22×#380511yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC23×C32×C4C22
socleC23×C32C24
prime radicalC2×C3×#930C2
hypercenterC23×C4D32
hypocenterC32C2×#529
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C22×C4×C3⋊Dic3C2semidirect
3. C2×C3×#924C2semidirect
4. C2×#67⋊Dic3C2semidirect
5. C2×#63962C2semidirect
6. #10594965C2direct (N × H)
7. C2×#63898C2semidirect
8. C2×#63878C2semidirect
9. C2×#63872C2semidirect
10. C2×#63863C2semidirect
11. C2×#63862C2semidirect
12. C2×#63843C2semidirect
26. C2×C4×C3⋊Dic3C22semidirect
32. C3×#924C22semidirect
34. #67⋊Dic3C22semidirect
38. #63962C22semidirect
43. #63898C22semidirect
44. #63878C22semidirect
45. #63872C22semidirect
46. #63863C22semidirect
47. #63862C22semidirect
48. #63843C22semidirect
58. C2×#924D3semidirect
160. #924C2×D3semidirect
481. C2×C32#529semidirect
583. C32C2×#529semidirect
626. C2×C3#5600semidirect
627. C2×C3#5624semidirect
657. C3C2×#5600semidirect
658. C3C2×#5624semidirect
661. C2#10594965direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×C3⋊Dic32
C2×C3×#9302
C2×C3×#9242
C2×#67⋊Dic32
C2×#639622
#105949652
C2×#638982
C2×#638782
C2×#638722
C2×#638632
C2×#638622
C2×#638432
C2×#56243
C2×#56003