Finite Group Databasebeta

← C2×#10593947 #11903073

Subgroups — C2×#10593947 #11903073

Order 1152.

2461 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×C4⋊(C3⋊D3)C211yesmaximal, characteristic
2C2×C3×#870C211yesmaximal, characteristic, complemented
3C2×C3×C4×Dic6C211yesmaximal, characteristic, complemented
4C2×#63900C211yesmaximal, characteristic, complemented
5C2×#63897C212yesmaximal
6C2×#63871C211yesmaximal, characteristic, complemented
7C2×#63871C211yesmaximal, characteristic, complemented
8C2×#63868C212yesmaximal, complemented
9C2×#63849C211yesmaximal, characteristic, complemented
10C2×#63845C212yesmaximal, complemented
11C2×#63836C212yesmaximal, complemented
12#10593947C2116yesmaximal, direct product factor
13C2×#5694—31nomaximal
14C2×#5581—31nomaximal
15C22×C4⋊(C3⋊D3)C2211yescharacteristic
16C22×C4×C3⋊D3C2211yescharacteristic
17C22×C4×C3⋊D3C2211yescharacteristic
18C22×C3×Dic6C2211yescharacteristic
19C22×#624C2212yes—
20C2×C32×C42C2211yescharacteristic
21C2×#3752C2211yescharacteristic
22C2×#3752C2211yescharacteristic
23C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
24C4×C4⋊(C3⋊D3)C2218yes—
25C2×C3×C4⋊Dic3C2211yescharacteristic
26C2×C3×C4⋊Dic3C2211yescharacteristic
27C2×C3×C4⋊Dic3C2211yescharacteristic
28C2×C3×Dic3⋊C4C2212yes—
29C2×C3×Dic3⋊C4C2212yes—
30C2×C3×Dic3⋊C4C2212yes—
31C2×C3×C4×Dic3C2212yes—
32C3×#870C2218yescomplemented
33C3×C4×Dic6C2218yescomplemented
34C2×#3724C2212yes—
35C2×Dic3⋊Dic3C2212yes—
36C2×Dic3⋊Dic3C2212yes—
37C2×#3722C2212yes—
38C2×#3722C2212yes—
39C2×#3722C2212yes—
40C2×Dic32C2212yes—
41#63900C2218yescomplemented
42#63897C22116yes—
43#63871C2218yescomplemented
44#63871C2218yescomplemented
45#63868C22116yescomplemented
46#63849C2218yescomplemented
47#63845C22116yescomplemented
48#63836C22116yescomplemented
49C2×C3×#125—31no—
50C2×C3×C4×Q8—31no—
51C2×#946—31no—
52C2×#946—31no—
53#5694—316no—
54#5581—316no—
55C2×#898—32no—
56C2×#897—31no—
57C2×#897—31no—
58C2×#894—32no—
59C2×#894—32no—
60C2×#892—31no—
61C2×#892—31no—
62C2×#892—32no—
63C2×D3×C4⋊C4—31no—
64C2×D3×C4⋊C4—31no—
65C2×#890—32no—
66C2×#889—32no—
67C2×#876—32no—
68C2×C4×D12—31no—
69C2×C4×D12—31no—
70C2×C4×D12—61no—
71C2×#872—32no—
72C2×#870D311yescharacteristic, complemented
73C2×C4×Dic6D311yescharacteristic, complemented
74C23×C3⋊D3C2311yescharacteristic
75C23×C3⋊D3C2311yescharacteristic
76C22×C32×C4C2311yescharacteristic
77C22×C32×C4C2311yescharacteristic
78C22×C32×C4C2311yescharacteristic
79C22×C3⋊Dic3C2311yescharacteristic
80C22×C3⋊Dic3C2311yescharacteristic
81C2×C4⋊(C3⋊D3)—24no—
82C2×C4⋊(C3⋊D3)C2314yes—
83C2×C4×C3⋊D3—24no—
84C2×C4×C3⋊D3—24no—
85C2×C4×C3⋊D3C2314yes—
86C2×C4×C3⋊D3C2314yes—
87C22×C3×Dic3C2312yes—
88C22×C3×Dic3C2312yes—
89C22×C3×Dic3C2312yes—
90C22×C3×Dic3C2312yes—
91C2×C3×Dic6—24no—
92C2×C3×Dic6C2314yes—
93C2×#624—28no—
94C2×#624C2318yes—
95C32×C42C2314yes—
96#3752C2314yes—
97#3752C2314yes—
98C4⋊(C3⋊Dic3)C2314yes—
99C3×C4⋊Dic3C2314yes—
100C3×C4⋊Dic3C2314yes—
101C3×C4⋊Dic3C2314yes—
102C3×Dic3⋊C4C2318yes—
103C3×Dic3⋊C4C2318yes—
104C3×Dic3⋊C4C2318yes—
105C3×C4×Dic3C2318yes—
106#3724C2318yes—
107Dic3⋊Dic3C2318yes—
108Dic3⋊Dic3C2318yes—
109#3722C2318yes—
110#3722C2318yes—
111#3722C2318yes—
112Dic32C2318yes—
113C2×#552—91noSylow
114C22×C3×Q8—31no—
115C22×D12—31no—
116C22×D12—31no—
117C22×D12—61no—
118C22×C4×D3—31no—
119C22×C4×D3—31no—
120C22×C4×D3—31no—
121C22×C4×D3—31no—
122C22×C4×D3—32no—
123C22×C4×D3—32no—
124C22×C4×D3—61no—
125C22×C4×D3—61no—
126C22×Dic6C2×D311yescharacteristic
127C3×#125—38no—
128C3×C4×Q8—38no—
129C2×C3×C4⋊C4—32no—
130C2×C3×C4⋊C4—32no—
131C2×C3×C4⋊C4—32no—
132C2×C3×C4⋊C4—31no—
133C2×C3×C4⋊C4—31no—
134C2×C3×C4⋊C4—31no—
135C2×C3×C42—21no—
136C2×C3×C42—32no—
137C2×C3×C42C2×D311yescharacteristic
138C2×C3×C42C2×D311yescharacteristic
139#946—38no—
140#946—38no—
141C2×(C2×D3)⋊C4—31no—
142C2×(C2×D3)⋊C4—31no—
143C2×(C2×D3)⋊C4—31no—
144C2×(C2×D3)⋊C4—31no—
145C2×(C2×D3)⋊C4—32no—
146C2×(C2×D3)⋊C4—32no—
147C2×(C2×D3)⋊C4—32no—
148C2×(C2×D3)⋊C4—32no—
149C2×(C2×D3)⋊C4—32no—
150C2×(C2×D3)⋊C4—32no—
151C2×(C2×D3)⋊C4—61no—
152C2×(C2×D3)⋊C4—61no—
153C2×C4⋊Dic3—31no—
154C2×C4⋊Dic3—31no—
155C2×C4⋊Dic3—32no—
156C2×C4⋊Dic3—32no—
157C2×C4⋊Dic3—61no—
158C2×C4⋊Dic3C2×D311yescharacteristic
159C2×C4⋊Dic3C2×D311yescharacteristic
160C2×C4⋊Dic3C2×D311yescharacteristic
161C2×Dic3⋊C4—32no—
162C2×Dic3⋊C4—32no—
163C2×Dic3⋊C4—32no—
164C2×Dic3⋊C4—32no—
165C2×Dic3⋊C4C2×D312yes—
166C2×Dic3⋊C4C2×D312yes—
167C2×Dic3⋊C4C2×D312yes—
168C2×C4×Dic3—32no—
169C2×C4×Dic3—32no—
170C2×C4×Dic3C2×D312yes—
171#898—316no—
172#897—38no—
173#897—38no—
174#894—316no—
175#894—316no—
176#892—38no—
177#892—38no—
178#892—316no—
179D3×C4⋊C4—38no—
180D3×C4⋊C4—38no—
181#890—316no—
182#889—316no—
183#876—316no—
184C4×D12—38no—
185C4×D12—38no—
186C4×D12—68no—
187#872—316no—
188#870C2×D318yescomplemented
189C4×Dic6C2×D318yescomplemented
190C23×C32C2411yescharacteristic
191C22×C3⋊D3—22no—
192C22×C3⋊D3—22no—
193C22×C3⋊D3—22no—
194C22×C3⋊D3—22no—
195C22×C3⋊D3—22no—
196C22×C3⋊D3#4114yes—
197C22×C3⋊D3C2412yes—
198C22×C3⋊D3C2412yes—
199C2×C32×C4—22no—
200C2×C32×C4—22no—
201C2×C32×C4#4114yes—
202C2×C32×C4C2412yes—
203C2×C32×C4C2412yes—
204C2×C32×C4C2412yes—
205C2×C3⋊Dic3—22no—
206C2×C3⋊Dic3—22no—
207C2×C3⋊Dic3C2412yes—
208C2×C3⋊Dic3C2412yes—
209C4⋊(C3⋊D3)—28no—
210C4×C3⋊D3—28no—
211C4×C3⋊D3—28no—
212C2×C3×Dic3—24no—
213C2×C3×Dic3—24no—
214C2×C3×Dic3—24no—
215C2×C3×Dic3—24no—
216C2×C3×Dic3C2414yes—
217C2×C3×Dic3C2414yes—
218C2×C3×Dic3C2414yes—
219C2×C3×Dic3C2414yes—
220C3×Dic6—28no—
221#624—216no—
222#552—916no—
223C2×#126—92no—
224C2×#125—31no—
225C2×#125—92no—
226C2×#123—92no—
227C2×C22⋊Q8—91no—
228C2×C22⋊Q8—91no—
229C2×C4×Q8—31no—
230C2×C4×D4—91no—
231C2×#117—92no—
232C2×#117—91no—
233C22×C4⋊C4—91no—
234C23×D3—31no—
235C23×D3—31no—
236C23×D3—31no—
237C23×D3—31no—
238C23×D3—61no—
239C23×D3—61no—
240C2×C3×Q8—34no—
241C2×C3×Q8—64no—
242C22×C3×C4—21no—
243C22×C3×C4—21no—
244C22×C3×C4—21no—
245C22×C3×C4—32no—
246C22×C3×C4—32no—
247C22×C3×C4—32no—
248C22×C3×C4—32no—
249C22×C3×C4C22×D311yescharacteristic
250C22×C3×C4C22×D311yescharacteristic
251C22×C3×C4C22×D311yescharacteristic
252C22×C3×C4C22×D311yescharacteristic
253C22×C3×C4C22×D311yescharacteristic
254C22×C3×C4C22×D311yescharacteristic
255C22×Dic3—31no—
256C22×Dic3—31no—
257C22×Dic3—31no—
258C22×Dic3—31no—
259C22×Dic3—61no—
260C22×Dic3—61no—
261C22×Dic3C22×D312yes—
262C22×Dic3C22×D312yes—
263C22×Dic3C22×D312yes—
264C22×Dic3C22×D312yes—
265C2×D12—34no—
266C2×D12—34no—
267C2×D12—64no—
268C2×D12—64no—
269C2×D12—64no—
270C2×D12—68no—
271C2×C4×D3—34no—
272C2×C4×D3—34no—
273C2×C4×D3—34no—
274C2×C4×D3—34no—
275C2×C4×D3—38no—
276C2×C4×D3—38no—
277C2×C4×D3—64no—
278C2×C4×D3—64no—
279C2×C4×D3—68no—
280C2×C4×D3—68no—
281C2×C4×D3—64no—
282C2×C4×D3—64no—
283C2×C4×D3—64no—
284C2×C4×D3—64no—
285C2×C4×D3—124no—
286C2×C4×D3—124no—
287C2×Dic6—24no—
288C2×Dic6C22×D314yes—
289C3×C4⋊C4—38no—
290C3×C4⋊C4—38no—
291C3×C4⋊C4—34no—
292C3×C4⋊C4—34no—
293C3×C4⋊C4—34no—
294C3×C4⋊C4—38no—
295C3×C42—24no—
296C3×C42—38no—
297C3×C42C22×D314yes—
298C3×C42C22×D314yes—
299(C2×D3)⋊C4—34no—
300(C2×D3)⋊C4—34no—
301(C2×D3)⋊C4—34no—
302(C2×D3)⋊C4—34no—
303(C2×D3)⋊C4—38no—
304(C2×D3)⋊C4—38no—
305(C2×D3)⋊C4—38no—
306(C2×D3)⋊C4—38no—
307(C2×D3)⋊C4—38no—
308(C2×D3)⋊C4—38no—
309(C2×D3)⋊C4—64no—
310(C2×D3)⋊C4—64no—
311C4⋊Dic3—34no—
312C4⋊Dic3—34no—
313C4⋊Dic3—38no—
314C4⋊Dic3—38no—
315C4⋊Dic3—64no—
316C4⋊Dic3C22×D314yes—
317C4⋊Dic3C22×D314yes—
318C4⋊Dic3C22×D314yes—
319Dic3⋊C4—38no—
320Dic3⋊C4—38no—
321Dic3⋊C4—38no—
322Dic3⋊C4—38no—
323Dic3⋊C4C22×D318yes—
324Dic3⋊C4C22×D318yes—
325Dic3⋊C4C22×D318yes—
326C4×Dic3—38no—
327C4×Dic3—38no—
328C4×Dic3C22×D318yes—
329C22×C32C2×#4112yes—
330C22×C32C2×#4112yes—
331C22×C322−1+412yes—
332C22×C32C2511yescharacteristic
333C2×C3⋊D3—22no—
334C2×C3⋊D3—28no—
335C2×C3⋊D3—22no—
336C2×C3⋊D3—22no—
337C2×C3⋊D3—22no—
338C2×C3⋊D3—22no—
339C2×C3⋊D3—44no—
340C2×C3⋊D3C2×#4114yes—
341C32×C4—22no—
342C32×C4—22no—
343C32×C4C2×#4114yes—
344C3⋊Dic3—22no—
345C3⋊Dic3—22no—
346C3×Dic3—24no—
347C3×Dic3—24no—
348C3×Dic3—24no—
349C3×Dic3—24no—
350C22×Q8—31no—
351C22×D4—91no—
352C23×C4—92no—
353C23×C4—91no—
354C23×C4—91no—
355#126—916no—
356#125—38no—
357#125—916no—
358#123—916no—
359C22⋊Q8—98no—
360C22⋊Q8—98no—
361C4×Q8—38no—
362C4×D4—98no—
363#117—916no—
364#117—98no—
365C2×C4⋊C4—31no—
366C2×C4⋊C4—31no—
367C2×C4⋊C4—31no—
368C2×C4⋊C4—32no—
369C2×C4⋊C4—32no—
370C2×C4⋊C4—32no—
371C2×C4⋊C4—98no—
372C2×C4⋊C4—92no—
373C2×C4⋊C4—92no—
374C2×C4⋊C4—92no—
375C2×C4⋊C4—91no—
376C2×C22⋊C4—92no—
377C2×C22⋊C4—92no—
378C2×C22⋊C4—92no—
379C2×C22⋊C4—91no—
380C2×C22⋊C4—91no—
381C2×C42—32no—
382C2×C42—92no—
383C2×C42D3211yescharacteristic
384C23×C3—21no—
385C23×C3C23×D311yescharacteristic
386C23×C3C23×D311yescharacteristic
387C22×D3—34no—
388C22×D3—34no—
389C22×D3—32no—
390C22×D3—32no—
391C22×D3—32no—
392C22×D3—32no—
393C22×D3—64no—
394C22×D3—62no—
395C22×D3—62no—
396C22×D3—62no—
397C22×D3—62no—
398C22×D3—62no—
399C22×D3—62no—
400C22×D3—64no—
401C22×D3—62no—
402C22×D3—62no—
403C22×D3—62no—
404C22×D3—62no—
405C22×D3—62no—
406C22×D3—62no—
407C22×D3—122no—
408C22×D3—122no—
409C22×D3—122no—
410C22×D3—122no—
411C3×Q8—68no—
412C2×C3×C4—24no—
413C2×C3×C4—22no—
414C2×C3×C4—22no—
415C2×C3×C4—22no—
416C2×C3×C4—22no—
417C2×C3×C4—22no—
418C2×C3×C4—22no—
419C2×C3×C4—22no—
420C2×C3×C4—24no—
421C2×C3×C4—34no—
422C2×C3×C4—34no—
423C2×C3×C4—34no—
424C2×C3×C4—34no—
425C2×C3×C4—42no—
426C2×C3×C4—64no—
427C2×C3×C4—64no—
428C2×C3×C4—64no—
429C2×C3×C4—64no—
430C2×C3×C4#23514yes—
431C2×C3×C4#23914yes—
432C2×C3×C4C23×D312yes—
433C2×C3×C4C23×D312yes—
434C2×C3×C4C23×D312yes—
435C2×C3×C4C23×D312yes—
436C2×C3×C4C23×D312yes—
437C2×C3×C4C23×D312yes—
438C2×Dic3—24no—
439C2×Dic3—24no—
440C2×Dic3—24no—
441C2×Dic3—24no—
442C2×Dic3—32no—
443C2×Dic3—32no—
444C2×Dic3—32no—
445C2×Dic3—32no—
446C2×Dic3—62no—
447C2×Dic3—62no—
448C2×Dic3—62no—
449C2×Dic3—62no—
450C2×Dic3—62no—
451C2×Dic3—62no—
452C2×Dic3—122no—
453C2×Dic3—122no—
454C2×Dic3C23×D314yes—
455C2×Dic3C23×D314yes—
456C2×Dic3C23×D314yes—
457C2×Dic3C23×D314yes—
458D12—68no—
459D12—68no—
460D12—616no—
461C4×D3—616no—
462C4×D3—616no—
463C4×D3—68no—
464C4×D3—68no—
465C4×D3—68no—
466C4×D3—68no—
467C4×D3—128no—
468C4×D3—128no—
469Dic6—28no—
470C2×C32#55214yescomplemented
471C2×C32C22×#4111yescharacteristic
472C2×C32C22×#4111yescharacteristic
473C2×C32C2×2−1+411yescharacteristic
474C3⋊D3—24no—
475C3⋊D3—42no—
476C24—91no—
477C24—91no—
478C2×Q8—34no—
479C2×Q8—64no—
480C2×D4—94no—
481C2×D4—184no—
482C22×C4—32no—
483C22×C4—32no—
484C22×C4—32no—
485C22×C4—32no—
486C22×C4—98no—
487C22×C4—91no—
488C22×C4—91no—
489C22×C4—94no—
490C22×C4—94no—
491C22×C4—188no—
492C22×C4—184no—
493C22×C4—184no—
494C22×C4C2×D3211yescharacteristic
495C22×C4C2×D3211yescharacteristic
496C22×C4C2×D3211yescharacteristic
497C4⋊C4—34no—
498C4⋊C4—34no—
499C4⋊C4—34no—
500C4⋊C4—38no—
501C4⋊C4—38no—
502C4⋊C4—38no—
503C4⋊C4—98no—
504C4⋊C4—98no—
505C4⋊C4—98no—
506C4⋊C4—94no—
507C22⋊C4—98no—
508C22⋊C4—98no—
509C22⋊C4—98no—
510C22⋊C4—94no—
511C22⋊C4—94no—
512C42—38no—
513C42—98no—
514C42C2×D3214yes—
515C22×C3—22no—
516C22×C3—22no—
517C22×C3—22no—
518C22×C3—21no—
519C22×C3C2×#23512yes—
520C22×C3C2×#23912yes—
521C22×C3#100712yes—
522C22×C3D3×#4112yes—
523C22×C3D3×#4112yes—
524C22×C3#101012yes—
525C22×C3C24×D311yescharacteristic
526C22×C3C24×D311yescharacteristic
527C2×D3—34no—
528C2×D3—34no—
529C2×D3—64no—
530C2×D3—68no—
531C2×D3—62no—
532C2×D3—62no—
533C2×D3—62no—
534C2×D3—62no—
535C2×D3—68no—
536C2×D3—64no—
537C2×D3—62no—
538C2×D3—62no—
539C2×D3—62no—
540C2×D3—62no—
541C2×D3—62no—
542C2×D3—62no—
543C2×D3—122no—
544C2×D3—122no—
545C2×D3—122no—
546C2×D3—128no—
547C2×D3—122no—
548C2×D3—128no—
549C2×D3—124no—
550C2×D3—124no—
551C3×C4—24no—
552C3×C4—22no—
553C3×C4—22no—
554C3×C4—22no—
555C3×C4—22no—
556C3×C4—24no—
557C3×C4—42no—
558C3×C4—64no—
559C3×C4—64no—
560C3×C4—64no—
561C3×C4—64no—
562C3×C4C2×#23514yes—
563C3×C4C2×#23914yes—
564Dic3—24no—
565Dic3—24no—
566Dic3—24no—
567Dic3—24no—
568Dic3—62no—
569Dic3—62no—
570Dic3—62no—
571Dic3—62no—
572Dic3—122no—
573Dic3—122no—
574C32C2×#55211yescharacteristic, complemented, Sylow
575C23—94no—
576C23—92no—
577C23—92no—
578C23—182no—
579C23—182no—
580C23—182no—
581C23—182no—
582C23—182no—
583C23C22×D3211yescharacteristic
584Q8—68no—
585D4—188no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—34no—
589C2×C4—34no—
590C2×C4—34no—
591C2×C4—34no—
592C2×C4—64no—
593C2×C4—64no—
594C2×C4—64no—
595C2×C4—64no—
596C2×C4—92no—
597C2×C4—92no—
598C2×C4—1816no—
599C2×C4—182no—
600C2×C4—182no—
601C2×C4—188no—
602C2×C4—188no—
603C2×C4#379914yes—
604C2×C4C22×D3212yes—
605C2×C4C22×D3212yes—
606C2×C4C22×D3212yes—
607C2×C3—21no—
608C2×C3—21no—
609C2×C3—21no—
610C2×C3—24no—
611C2×C3#558114yescomplemented
612C2×C3#569414yescomplemented
613C2×C3C22×#23511yescharacteristic
614C2×C3C22×#23911yescharacteristic
615C2×C3C2×#100711yescharacteristic
616C2×C3C2×D3×#4111yescharacteristic
617C2×C3C2×D3×#4111yescharacteristic
618C2×C3C2×#101011yescharacteristic
619D3—64no—
620D3—64no—
621D3—124no—
622D3—124no—
623D3—122no—
624D3—122no—
625C22—94no—
626C22—182no—
627C22—182no—
628C22—188no—
629C22—182no—
630C22—182no—
631C22—182no—
632C22—364no—
633C22#6429712yes—
634C22C2×#379912yes—
635C22#6430612yes—
636C22C23×D3211yescharacteristic
637C4—22no—
638C4—22no—
639C4—64no—
640C4—64no—
641C4—64no—
642C4—64no—
643C4—182no—
644C4—182no—
645C4C2×#379914yes—
646C3—21no—
647C3C2×#558111yescharacteristic, complemented
648C3C2×#569411yescharacteristic, complemented
649C2—184no—
650C2—362no—
651C2#1059394714yesdirect product factor
652C2C2×#6429711yescharacteristic
653C2C22×#379911yescharacteristic
654C2C2×#6430611yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC2×C32×C42C22
socleC23×C32C24
prime radicalC22×C4⋊(C3⋊D3)C22
hypercenterC2×C42D32
hypocenterC32C2×#552
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
2. C2×C3×#870C2semidirect
3. C2×C3×C4×Dic6C2semidirect
4. C2×#63900C2semidirect
6. C2×#63871C2semidirect
7. C2×#63871C2semidirect
8. C2×#63868C2semidirect
9. C2×#63849C2semidirect
10. C2×#63845C2semidirect
11. C2×#63836C2semidirect
12. #10593947C2direct (N × H)
32. C3×#870C22semidirect
33. C3×C4×Dic6C22semidirect
41. #63900C22semidirect
43. #63871C22semidirect
44. #63871C22semidirect
45. #63868C22semidirect
46. #63849C22semidirect
47. #63845C22semidirect
48. #63836C22semidirect
72. C2×#870D3semidirect
73. C2×C4×Dic6D3semidirect
188. #870C2×D3semidirect
189. C4×Dic6C2×D3semidirect
470. C2×C32#552semidirect
574. C32C2×#552semidirect
611. C2×C3#5581semidirect
612. C2×C3#5694semidirect
647. C3C2×#5581semidirect
648. C3C2×#5694semidirect
651. C2#10593947direct (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×#8702
C2×C3×C4×Dic62
C2×#639002
C2×#638972
C2×#638712
C2×#638682
C2×#638492
C2×#638452
C2×#638362
#105939472
C2×#56943
C2×#55813