Finite Group Databasebeta

← C2×C4×#67004 #15617845

Subgroups — C2×C4×#67004 #15617845

Order 2816.

2810 conjugacy classes of subgroups.

The subgroup lattice has 636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#67004C211yesmaximal, characteristic
2C22×C4×Dic22C211yesmaximal, characteristic, complemented
3C4×#67004C2116yesmaximal, direct product factor
4C2×#10622643C212yesmaximal, complemented
5C2×#10622631C212yesmaximal, complemented
6C2×C4×#4326C212yesmaximal, complemented
7C2×C4×#4324C212yesmaximal, complemented
8C2×#10622608C211yesmaximal, characteristic, complemented
9C2×#10622845C211yesmaximal, characteristic
10C2×#10622617C211yesmaximal, characteristic, complemented
11C2×C4×#4318C211yesmaximal, characteristic, complemented
12C2×C4×C11×#41C211yesmaximal, characteristic
13C22×C11×#41C2211yescharacteristic
14C23×Dic22C2211yescharacteristic
15C4×C11×#41—24no—
16C4×C11×#41C2218yes—
17C2×C4×Q8×C11C2211yescharacteristic
18C2×C4×Q8×C11C2211yescharacteristic
19C2×C4×D4×C11—21no—
20C2×C4×D4×C11—21no—
21C2×C4×D4×C11C2211yescharacteristic
22C2×C4×D4×C11C2211yescharacteristic
23C2×C11×#117—21no—
24C2×C11×#117C2211yescharacteristic
25C22×C42×C11—21no—
26C22×C42×C11C2211yescharacteristic
27C2×#67004C4116yesdirect product factor
28C2×#67004C2218yes—
29C22×#4326C2212yes—
30C22×#4324C2212yes—
31C22×C4⋊Dic11C2211yescharacteristic
32C22×Dic11⋊C4—21no—
33C22×C4×Dic11—21no—
34C22×#4318C2211yescharacteristic
35C22×#4318C2211yescharacteristic
36C2×C4×Dic22—24no—
37C2×C4×Dic22—21no—
38C2×C4×Dic22—21no—
39C2×C4×Dic22C2212yes—
40C2×C4×Dic22C2212yes—
41C2×C4×Dic22C2218yescomplemented
42#10622845C2218yes—
43C2×#66899C2212yes—
44C2×#66896C2212yes—
45#10622643C22116yescomplemented
46C4×#4326C22116yescomplemented
47#10622631C22116yescomplemented
48C4×#4324C22116yescomplemented
49#10622617C2218yescomplemented
50#10622608C2218yescomplemented
51C2×#66874C2212yes—
52C2×#66874C2212yes—
53C2×#66872C2212yes—
54C2×#66871C2212yes—
55C4×#4318C2218yescomplemented
56C2×#66867C2212yes—
57C2×C4×C11⋊C8C2212yes—
58C2×C11×#41—22no—
59C2×C11×#41—24no—
60C2×C11×#41C2×C418yes—
61C2×C11×#41C2314yes—
62C22×Q8×C11C2311yescharacteristic
63C22×D4×C11—21no—
64C22×D4×C11C2311yescharacteristic
65C23×C4×C11—21no—
66C23×C4×C11—21no—
67C23×C4×C11—21no—
68C23×C4×C11D411yescharacteristic
69C23×C4×C11D411yescharacteristic
70C23×C4×C11C2311yescharacteristic
71C23×Dic11—21no—
72C23×Dic11—21no—
73C22×Dic22—21no—
74C22×Dic22—22no—
75C22×Dic22—24no—
76C22×Dic22C2×C418yescomplemented
77C22×Dic22C2312yes—
78C22×Dic22C2314yes—
79C4×Q8×C11—22no—
80C4×Q8×C11—22no—
81C4×Q8×C11C2314yes—
82C4×Q8×C11C2314yes—
83C4×D4×C11—28no—
84C4×D4×C11—28no—
85C4×D4×C11—22no—
86C4×D4×C11—22no—
87C4×D4×C11C2314yes—
88C4×D4×C11C2314yes—
89C11×#117—22no—
90C11×#117—28no—
91C11×#117C2314yes—
92C2×C11×C4⋊C4—21no—
93C2×C11×C4⋊C4—21no—
94C2×C11×C4⋊C4C2311yescharacteristic
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C22⋊C4—21no—
97C2×C11×C22⋊C4—21no—
98C2×C11×C22⋊C4—21no—
99C2×C42×C11—21no—
100C2×C42×C11—21no—
101C2×C42×C11—21no—
102C2×C42×C11—28no—
103C2×C42×C11D411yescharacteristic
104C2×C42×C11D411yescharacteristic
105C2×C42×C11D414yes—
106C2×C42×C11C2311yescharacteristic
107C2×C42×C11C2311yescharacteristic
108C2×C42×C11C2314yes—
109#67004C2×C4164yesdirect product factor
110C2×#4326C2×C4116yescomplemented
111C2×#4326C2318yes—
112C2×#4324C2×C4116yescomplemented
113C2×#4324C2318yes—
114C2×C4⋊Dic11—21no—
115C2×C4⋊Dic11—22no—
116C2×C4⋊Dic11C2312yes—
117C2×C4⋊Dic11C2314yes—
118C2×Dic11⋊C4—22no—
119C2×Dic11⋊C4—22no—
120C2×Dic11⋊C4—28no—
121C2×C4×Dic11—22no—
122C2×C4×Dic11—22no—
123C2×C4×Dic11—28no—
124C2×#4318—24no—
125C2×#4318C2×C418yescomplemented
126C2×#4318C2314yes—
127C2×#4318C2314yes—
128C22×C11⋊C8C2312yes—
129C22×C11⋊C8C2312yes—
130C4×Dic22—24no—
131C4×Dic22—24no—
132C4×Dic22—28no—
133C4×Dic22—28no—
134C4×Dic22C2318yes—
135C4×Dic22C2318yes—
136#66899C2318yes—
137#66896C2318yes—
138#66874C2318yes—
139#66874C2318yes—
140#66872C2318yes—
141#66871C2318yes—
142#66867C2318yes—
143C4×C11⋊C8C2318yes—
144C2×C4×#137—111nomaximal, Sylow
145C24×C11—21no—
146C24×C11C2×D411yescharacteristic
147C11×#41—216no—
148C11×#41—28no—
149C11×#41C22×C4116yes—
150C2×Q8×C11—21no—
151C2×Q8×C11—22no—
152C2×Q8×C11C22×C414yes—
153C2×Q8×C11C2412yes—
154C2×D4×C11—28no—
155C2×D4×C11—24no—
156C2×D4×C11—21no—
157C2×D4×C11—22no—
158C2×D4×C11C22×C414yes—
159C2×D4×C11C2412yes—
160C22×C4×C11—21no—
161C22×C4×C11—28no—
162C22×C4×C11—24no—
163C22×C4×C11—24no—
164C22×C4×C11—21no—
165C22×C4×C11—21no—
166C22×C4×C11—24no—
167C22×C4×C11—24no—
168C22×C4×C11—42no—
169C22×C4×C11—44no—
170C22×C4×C11—44no—
171C22×C4×C11C22×C414yes—
172C22×C4×C11C2×D411yescharacteristic
173C22×C4×C11C2×D414yes—
174C22×C4×C11C2×D411yescharacteristic
175C22×C4×C11C2×D411yescharacteristic
176C22×C4×C11C2×D414yes—
177C22×C4×C11C2×D411yescharacteristic
178C22×C4×C11C2×D412yes—
179C22×C4×C11C2×D411yescharacteristic
180C22×C4×C11#4114yes—
181C22×C4×C11C2411yescharacteristic
182C22×C4×C11C2412yes—
183C22×Dic11—28no—
184C22×Dic11—24no—
185C22×Dic11—22no—
186C22×Dic11—24no—
187C22×Dic11—22no—
188C22×Dic11—44no—
189C2×Dic22—28no—
190C2×Dic22—216no—
191C2×Dic22—24no—
192C2×Dic22—22no—
193C2×Dic22—24no—
194C2×Dic22—28no—
195C2×Dic22C22×C418yes—
196C2×Dic22C22×C4116yescomplemented
197C2×Dic22C2414yes—
198C11×C4⋊C4—24no—
199C11×C4⋊C4—24no—
200C11×C4⋊C4—21no—
201C11×C4⋊C4—21no—
202C11×C4⋊C4C2412yes—
203C11×C4⋊C4C2412yes—
204C11×C22⋊C4—24no—
205C11×C22⋊C4—24no—
206C11×C22⋊C4—24no—
207C42×C11—24no—
208C42×C11—24no—
209C42×C11—24no—
210C42×C11C2×D414yes—
211C42×C11C2×D414yes—
212C42×C11C2×D412yes—
213C42×C11C2×D412yes—
214C42×C11C2412yes—
215C42×C11C2412yes—
216#4326C22×C4132yescomplemented
217#4324C22×C4132yescomplemented
218C4⋊Dic11—24no—
219C4⋊Dic11—22no—
220C4⋊Dic11C2414yes—
221Dic11⋊C4—28no—
222Dic11⋊C4—28no—
223C4×Dic11—28no—
224C4×Dic11—28no—
225#4318—28no—
226#4318C22×C4116yescomplemented
227C2×C11⋊C8—24no—
228C2×C11⋊C8C22×C418yes—
229C2×C11⋊C8C2414yes—
230C2×C11⋊C8C2414yes—
231C22×#137—111no—
232C2×C4×#41D1111yescharacteristic
233C22×C4×Q8—111no—
234C4×#137—1116no—
235C2×#441—112no—
236C2×#440—112no—
237C2×C4×Q16—112no—
238C2×C4×SD16—112no—
239C2×#428—111no—
240C2×#417—111no—
241C2×#419—111no—
242C2×C4×M16—111no—
243C23×C11—22no—
244C23×C11—22no—
245C23×C11—24no—
246C23×C11—22no—
247C23×C11—42no—
248C23×C11—42no—
249C23×C11C4×D414yes—
250C23×C11C22×D412yes—
251C23×C11C22×D411yescharacteristic
252Q8×C11—24no—
253Q8×C11—22no—
254Q8×C11C23×C414yes—
255D4×C11—216no—
256D4×C11—24no—
257D4×C11—22no—
258D4×C11C23×C414yes—
259C2×C4×C11—24no—
260C2×C4×C11—22no—
261C2×C4×C11—22no—
262C2×C4×C11—22no—
263C2×C4×C11—22no—
264C2×C4×C11—216no—
265C2×C4×C11—28no—
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—44no—
269C2×C4×C11—48no—
270C2×C4×C11—42no—
271C2×C4×C11—42no—
272C2×C4×C11—48no—
273C2×C4×C11C4×D414yes—
274C2×C4×C11C4×D418yes—
275C2×C4×C11#13714yescomplemented
276C2×C4×C11C23×C412yes—
277C2×C4×C11C23×C414yes—
278C2×C4×C11C22×D412yes—
279C2×C4×C11C22×D412yes—
280C2×C4×C11C22×D412yes—
281C2×C4×C11C22×D412yes—
282C2×C4×C11C22×D411yescharacteristic
283C2×C4×C11C22×D412yes—
284C2×C4×C11C2×#4112yes—
285C2×C4×C11C2×#4114yes—
286C2×C4×C11C2511yescharacteristic
287C2×Dic11—28no—
288C2×Dic11—216no—
289C2×Dic11—24no—
290C2×Dic11—24no—
291C2×Dic11—48no—
292C2×Dic11—44no—
293Dic22—28no—
294Dic22—216no—
295Dic22—24no—
296Dic22C23×C418yes—
297C11⋊C8—24no—
298C11⋊C8C23×C418yes—
299C22×#41C2×D1111yescharacteristic
300C23×Q8—111no—
301C2×#137—118no—
302C2×#137—1116no—
303C22×Q16—112no—
304C22×SD16—112no—
305C22×M16—111no—
306C22×M16—111no—
307C4×#41—24no—
308C4×#41C2×D1118yes—
309C2×C4×Q8—112no—
310C2×C4×Q8—112no—
311C2×C4×Q8—118no—
312C2×C4×Q8—221no—
313C2×C4×Q8—224no—
314C2×C4×Q8—221no—
315C2×C4×Q8C2×D1111yescharacteristic
316C2×C4×Q8C2×D1111yescharacteristic
317C2×C4×D4—21no—
318C2×C4×D4—21no—
319C2×C4×D4C2×D1111yescharacteristic
320C2×C4×D4C2×D1111yescharacteristic
321C2×#117—21no—
322C2×#117C2×D1111yescharacteristic
323C22×C4⋊C4—111no—
324C22×C4⋊C4—221no—
325C22×C42—21no—
326C22×C42—221no—
327C22×C42C2×D1111yescharacteristic
328#441—1116no—
329#440—1116no—
330C4×Q16—1116no—
331C4×SD16—1116no—
332#428—118no—
333C2×#107—112no—
334C2×#106—112no—
335#419—118no—
336#417—118no—
337C2×#103—112no—
338C2×#103—112no—
339C2×#103—112no—
340C2×#102—112no—
341C4×M16—118no—
342C2×#97—112no—
343C2×C4×C8—112no—
344C22×C11—28no—
345C22×C11—22no—
346C22×C11—22no—
347C22×C11—24no—
348C22×C11—48no—
349C22×C11—42no—
350C22×C11—42no—
351C22×C11C2×C4×D414yes—
352C22×C11C2×C4×D412yes—
353C22×C11C2×#13712yes—
354C22×C11#57512yes—
355C22×C11C23×D411yescharacteristic
356C4×C11—24no—
357C4×C11—22no—
358C4×C11—22no—
359C4×C11—22no—
360C4×C11—42no—
361C4×C11—42no—
362C4×C11C2×C4×D414yes—
363C4×C11C2×C4×D412yes—
364C4×C11C2×#13714yescomplemented
365C4×C11C24×C411yescharacteristic
366C4×C11C22×#4111yescharacteristic
367Dic11—28no—
368Dic11—44no—
369C2×#41—24no—
370C2×#41—22no—
371C2×#41C4×D1118yes—
372C2×#41C22×D1114yes—
373C22×Q8—118no—
374C22×Q8—112no—
375C22×Q8—114no—
376C22×Q8—224no—
377C22×Q8—221no—
378C22×Q8—222no—
379C22×Q8C22×D1111yescharacteristic
380C22×D4—21no—
381C22×D4C22×D1111yescharacteristic
382C23×C4—21no—
383C23×C4—21no—
384C23×C4—21no—
385C23×C4—221no—
386C23×C4—221no—
387C23×C4C22⋊D1111yescharacteristic
388C23×C4C22⋊D1111yescharacteristic
389C23×C4C22×D1111yescharacteristic
390#137—1164no—
391C2×Q16—1116no—
392C2×Q16—118no—
393C2×SD16—1116no—
394C2×SD16—118no—
395C2×M16—118no—
396C2×M16—114no—
397C2×M16—114no—
398C2×M16—224no—
399C22×C8—112no—
400C22×C8—112no—
401C4×Q8—22no—
402C4×Q8—22no—
403C4×Q8—118no—
404C4×Q8—118no—
405C4×Q8—228no—
406C4×Q8—228no—
407C4×Q8—224no—
408C4×Q8—224no—
409C4×Q8C22×D1114yes—
410C4×Q8C22×D1114yes—
411C4×D4—28no—
412C4×D4—28no—
413C4×D4—22no—
414C4×D4—22no—
415C4×D4C22×D1114yes—
416C4×D4C22×D1114yes—
417#117—22no—
418#117—28no—
419#117C22×D1114yes—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—112no—
423C2×C4⋊C4—114no—
424C2×C4⋊C4—221no—
425C2×C4⋊C4—222no—
426C2×C4⋊C4—222no—
427C2×C4⋊C4—222no—
428C2×C4⋊C4—228no—
429C2×C4⋊C4C22×D1111yescharacteristic
430C2×C4⋊C4C22×D1111yescharacteristic
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C42—21no—
435C2×C42—21no—
436C2×C42—21no—
437C2×C42—28no—
438C2×C42—222no—
439C2×C42—228no—
440C2×C42—222no—
441C2×C42C22⋊D1111yescharacteristic
442C2×C42C22⋊D1114yes—
443C2×C42C22⋊D1111yescharacteristic
444C2×C42C22×D1111yescharacteristic
445C2×C42C22×D1114yes—
446C2×C42C22×D1111yescharacteristic
447#107—118no—
448#106—118no—
449#103—118no—
450#103—118no—
451#103—118no—
452#102—118no—
453#97—118no—
454C4×C8—118no—
455C2×C11—24no—
456C2×C11—44no—
457C2×C11C4×#13714yescomplemented
458C2×C11C22×C4×D411yescharacteristic
459C2×C11C22×#13711yescharacteristic
460C2×C11C2×#57511yescharacteristic
461C24—21no—
462C24C2×C22⋊D1111yescharacteristic
463#41—216no—
464#41—28no—
465#41C2×C4×D11116yes—
466C2×Q8—22no—
467C2×Q8—21no—
468C2×Q8—118no—
469C2×Q8—1116no—
470C2×Q8—114no—
471C2×Q8—228no—
472C2×Q8—2216no—
473C2×Q8—224no—
474C2×Q8—228no—
475C2×Q8—224no—
476C2×Q8—222no—
477C2×Q8C2×C4×D1114yes—
478C2×Q8C23×D1112yes—
479C2×D4—28no—
480C2×D4—24no—
481C2×D4—22no—
482C2×D4—21no—
483C2×D4C2×C4×D1114yes—
484C2×D4C23×D1112yes—
485C22×C4—21no—
486C22×C4—28no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—24no—
492C22×C4—24no—
493C22×C4—42no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—228no—
497C22×C4—224no—
498C22×C4—222no—
499C22×C4—224no—
500C22×C4—222no—
501C22×C4—444no—
502C22×C4C2×C4×D1114yes—
503C22×C4#433914yes—
504C22×C4C2×C22⋊D1111yescharacteristic
505C22×C4C2×C22⋊D1111yescharacteristic
506C22×C4C2×C22⋊D1114yes—
507C22×C4C2×C22⋊D1111yescharacteristic
508C22×C4C2×C22⋊D1114yes—
509C22×C4C2×C22⋊D1111yescharacteristic
510C22×C4C2×C22⋊D1112yes—
511C22×C4C2×C22⋊D1111yescharacteristic
512C22×C4C23×D1111yescharacteristic
513C22×C4C23×D1112yes—
514Q16—1132no—
515SD16—1132no—
516M16—1116no—
517M16—228no—
518C2×C8—118no—
519C2×C8—114no—
520C2×C8—114no—
521C2×C8—224no—
522C4⋊C4—24no—
523C4⋊C4—24no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—114no—
527C4⋊C4—224no—
528C4⋊C4—222no—
529C4⋊C4—228no—
530C4⋊C4—228no—
531C4⋊C4C23×D1112yes—
532C4⋊C4C23×D1112yes—
533C22⋊C4—24no—
534C22⋊C4—24no—
535C22⋊C4—24no—
536C42—24no—
537C42—24no—
538C42—24no—
539C42—228no—
540C42—228no—
541C42C2×C22⋊D1114yes—
542C42C2×C22⋊D1114yes—
543C42C2×C22⋊D1112yes—
544C42C2×C22⋊D1112yes—
545C42C23×D1112yes—
546C42C23×D1112yes—
547C11C2×C4×#13711yescharacteristic, complemented, Sylow
548C23—22no—
549C23—22no—
550C23—24no—
551C23—22no—
552C23—42no—
553C23—42no—
554C23C4×C22⋊D1114yes—
555C23C22×C22⋊D1112yes—
556C23C22×C22⋊D1111yescharacteristic
557Q8—24no—
558Q8—22no—
559Q8—118no—
560Q8—2216no—
561Q8—228no—
562Q8—224no—
563Q8C22×C4×D1114yes—
564D4—216no—
565D4—24no—
566D4—22no—
567D4C22×C4×D1114yes—
568C2×C4—24no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—216no—
574C2×C4—28no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—44no—
578C2×C4—48no—
579C2×C4—42no—
580C2×C4—42no—
581C2×C4—48no—
582C2×C4—2216no—
583C2×C4—228no—
584C2×C4—224no—
585C2×C4—224no—
586C2×C4—448no—
587C2×C4—444no—
588C2×C4C4×C22⋊D1114yes—
589C2×C4C4×C22⋊D1118yes—
590C2×C4#6700414yesdirect product factor
591C2×C4C22×C4×D1112yes—
592C2×C4C22×C4×D1114yes—
593C2×C4C2×#433912yes—
594C2×C4C2×#433914yes—
595C2×C4C22×C22⋊D1112yes—
596C2×C4C22×C22⋊D1112yes—
597C2×C4C22×C22⋊D1112yes—
598C2×C4C22×C22⋊D1112yes—
599C2×C4C22×C22⋊D1111yescharacteristic
600C2×C4C22×C22⋊D1112yes—
601C2×C4C24×D1111yescharacteristic
602C8—118no—
603C8—224no—
604C22—28no—
605C22—22no—
606C22—22no—
607C22—24no—
608C22—48no—
609C22—42no—
610C22—42no—
611C22C2×C4×C22⋊D1114yes—
612C22C2×C4×C22⋊D1112yes—
613C22#1062335312yes—
614C22C2×#6700412yes—
615C22C23×C22⋊D1111yescharacteristic
616C4—24no—
617C4—22no—
618C4—22no—
619C4—22no—
620C4—42no—
621C4—42no—
622C4—228no—
623C4—444no—
624C4C2×C4×C22⋊D1114yes—
625C4C2×C4×C22⋊D1112yes—
626C4C2×#6700414yesdirect product factor
627C4C23×C4×D1111yescharacteristic
628C4C22×#433911yescharacteristic
629C2—24no—
630C2—44no—
631C2C4×#6700414yesdirect product factor
632C2C22×C4×C22⋊D1111yescharacteristic
633C2C22×#6700411yescharacteristic
634C2C2×#1062335311yescharacteristic
subgroupG/H
centerC22×C4C2×C22⋊D11
commutatorC4×C11C24×C4
FrattiniC2×C4C24×D11
FittingC2×C4×C11×#41C2
socleC23×C11C22×D4
prime radicalC22×C11×#41C22
cosocleC2×C4×C11C25
hypercenterC2×C4×#41D11
hypocenterC11C2×C4×#137
LCSG ▷ C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C22×C42 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
2. C22×C4×Dic22C2semidirect
3. C4×#67004C2direct (N × H)
4. C2×#10622643C2semidirect
5. C2×#10622631C2semidirect
6. C2×C4×#4326C2semidirect
7. C2×C4×#4324C2semidirect
8. C2×#10622608C2semidirect
10. C2×#10622617C2semidirect
11. C2×C4×#4318C2semidirect
27. C2×#67004C4direct (N × H)
41. C2×C4×Dic22C22semidirect
45. #10622643C22semidirect
46. C4×#4326C22semidirect
47. #10622631C22semidirect
48. C4×#4324C22semidirect
49. #10622617C22semidirect
50. #10622608C22semidirect
55. C4×#4318C22semidirect
76. C22×Dic22C2×C4semidirect
109. #67004C2×C4direct (N × H)
110. C2×#4326C2×C4semidirect
112. C2×#4324C2×C4semidirect
125. C2×#4318C2×C4semidirect
196. C2×Dic22C22×C4semidirect
216. #4326C22×C4semidirect
217. #4324C22×C4semidirect
226. #4318C22×C4semidirect
275. C2×C4×C11#137semidirect
364. C4×C11C2×#137semidirect
457. C2×C11C4×#137semidirect
547. C11C2×C4×#137semidirect
590. C2×C4#67004direct (N × H)
626. C4C2×#67004direct (N × H)
631. C2C4×#67004direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#670042
C22×C4×Dic222
C4×#670042
C2×#106226432
C2×#106226312
C2×C4×#43262
C2×C4×#43242
C2×#106226082
C2×#106228452
C2×#106226172
C2×C4×#43182
C2×C4×C11×#412
C2×C4×#13711