Finite Group Databasebeta

← C2×C4×#66995 #15617847

Subgroups — C2×C4×#66995 #15617847

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×#66995C211yesmaximal, characteristic
2C2×C4×#4339C211yesmaximal, characteristic
3C4×#66995C2116yesmaximal, direct product factor
4C2×#10622643C212yesmaximal, complemented
5C2×#10622639C212yesmaximal, complemented
6C2×C4×#4326C212yesmaximal, complemented
7C2×C4×#4325C212yesmaximal, complemented
8C2×#10622577C211yesmaximal, characteristic, complemented
9C2×#10622579C211yesmaximal, characteristic
10C2×#10622838C211yesmaximal, characteristic, complemented
11C2×C4×#4318C211yesmaximal, characteristic, complemented
12C22×C4×Q8×C11C211yesmaximal, characteristic, complemented
13C23×Q8×C11C2211yescharacteristic
14C22×#4339C2211yescharacteristic
15C2×C4×Q8×C11—21no—
16C2×C4×Q8×C11—21no—
17C2×C4×Q8×C11—24no—
18C2×C4×Q8×C11C2212yes—
19C2×C4×Q8×C11C2212yes—
20C2×C4×Q8×C11C2218yescomplemented
21C22×C11×C4⋊C4—21no—
22C22×C11×C4⋊C4C2211yescharacteristic
23C22×C42×C11—21no—
24C22×C42×C11C2211yescharacteristic
25C22×#4326C2212yes—
26C2×#66995C4116yesdirect product factor
27C2×#66995C2218yes—
28C22×#4325C2212yes—
29C2×C4×C22⋊D11—21no—
30C2×C4×C22⋊D11—21no—
31C2×#66979C2211yescharacteristic
32C22×#4318C2211yescharacteristic
33C22×#4318C2211yescharacteristic
34C4×#4339—24no—
35C4×#4339C2218yes—
36C2×C4×D44C2211yescharacteristic
37C2×C4×D44C2211yescharacteristic
38C2×#66925—21no—
39C2×C42×D11—21no—
40C2×C4×Dic22C2211yescharacteristic
41C2×C4×Dic22C2211yescharacteristic
42#10622838C2218yescomplemented
43C2×#66899C2212yes—
44C2×#66899C2212yes—
45#10622643C22116yescomplemented
46C4×#4326C22116yescomplemented
47#10622639C22116yescomplemented
48C4×#4325C22116yescomplemented
49C2×#66874C2212yes—
50#10622579C2218yes—
51C2×#66873C2212yes—
52#10622577C2218yescomplemented
53C2×#66872C2212yes—
54C2×#66871C2212yes—
55C4×#4318C2218yescomplemented
56C2×#66867C2212yes—
57C2×C4×C11⋊C8C2212yes—
58C22×Q8×C11—21no—
59C22×Q8×C11—22no—
60C22×Q8×C11—24no—
61C22×Q8×C11C2×C418yescomplemented
62C22×Q8×C11C2312yes—
63C22×Q8×C11C2314yes—
64C23×C4×C11—21no—
65C23×C4×C11—21no—
66C23×C4×C11D411yescharacteristic
67C23×C4×C11D411yescharacteristic
68C23×C4×C11C2311yescharacteristic
69C22×C22⋊D11—21no—
70C2×#4339—22no—
71C2×#4339—24no—
72C2×#4339C2×C418yes—
73C2×#4339C2314yes—
74C22×D44C2311yescharacteristic
75C22×C4×D11—21no—
76C22×C4×D11—21no—
77C22×C4×D11—21no—
78C22×Dic22C2311yescharacteristic
79C4×Q8×C11—24no—
80C4×Q8×C11—24no—
81C4×Q8×C11—28no—
82C4×Q8×C11—28no—
83C4×Q8×C11C2318yes—
84C4×Q8×C11C2318yes—
85C2×C11×C4⋊C4—22no—
86C2×C11×C4⋊C4—22no—
87C2×C11×C4⋊C4—28no—
88C2×C11×C4⋊C4—21no—
89C2×C11×C4⋊C4—22no—
90C2×C11×C4⋊C4C2312yes—
91C2×C11×C4⋊C4C2314yes—
92C2×C42×C11—22no—
93C2×C42×C11—22no—
94C2×C42×C11—28no—
95C2×C42×C11D411yescharacteristic
96C2×C42×C11D411yescharacteristic
97C2×C42×C11D414yes—
98C2×C42×C11C2311yescharacteristic
99C2×C42×C11C2311yescharacteristic
100C2×C42×C11C2314yes—
101C2×C22⋊Dic11—21no—
102C2×#4326C2×C4116yescomplemented
103C2×#4326C2318yes—
104#66995C2×C4164yesdirect product factor
105C2×#4325C2×C4116yescomplemented
106C2×#4325C2318yes—
107C4×C22⋊D11—28no—
108C4×C22⋊D11—28no—
109C2×(C2×D11)⋊C4—21no—
110C2×(C2×D11)⋊C4—21no—
111#66979—22no—
112#66979C2314yes—
113C2×C4⋊Dic11C2311yescharacteristic
114C2×C4⋊Dic11C2311yescharacteristic
115C2×Dic11⋊C4—21no—
116C2×Dic11⋊C4—21no—
117C2×C4×Dic11—21no—
118C2×C4×Dic11—21no—
119C2×C4×Dic11—21no—
120C2×#4318—24no—
121C2×#4318C2×C418yescomplemented
122C2×#4318C2314yes—
123C2×#4318C2314yes—
124C22×C11⋊C8C2312yes—
125C22×C11⋊C8C2312yes—
126C4×D44—22no—
127C4×D44—22no—
128C4×D44C2314yes—
129C4×D44C2314yes—
130#66925—28no—
131C42×D11—28no—
132C4×Dic22—22no—
133C4×Dic22—22no—
134C4×Dic22C2314yes—
135C4×Dic22C2314yes—
136#66899C2318yes—
137#66899C2318yes—
138#66874C2318yes—
139#66873C2318yes—
140#66872C2318yes—
141#66871C2318yes—
142#66867C2318yes—
143C4×C11⋊C8C2318yes—
144C2×C4×#137—111nomaximal, Sylow
145C24×C11C2×D411yescharacteristic
146C23×D11—21no—
147C2×Q8×C11—28no—
148C2×Q8×C11—216no—
149C2×Q8×C11—24no—
150C2×Q8×C11—22no—
151C2×Q8×C11—24no—
152C2×Q8×C11—28no—
153C2×Q8×C11C22×C418yes—
154C2×Q8×C11C22×C4116yescomplemented
155C2×Q8×C11C2414yes—
156C22×C4×C11—28no—
157C22×C4×C11—22no—
158C22×C4×C11—24no—
159C22×C4×C11—24no—
160C22×C4×C11—24no—
161C22×C4×C11—22no—
162C22×C4×C11—42no—
163C22×C4×C11—44no—
164C22×C4×C11C22×C414yes—
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D414yes—
169C22×C4×C11C2×D414yes—
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2×D412yes—
172C22×C4×C11C2×D411yescharacteristic
173C22×C4×C11#4114yes—
174C22×C4×C11C2411yescharacteristic
175C22×C4×C11C2412yes—
176C2×C22⋊D11—28no—
177C2×C22⋊D11—24no—
178C22×Dic11—21no—
179C22×Dic11—21no—
180C22×Dic11—21no—
181#4339—216no—
182#4339—28no—
183#4339C22×C4116yes—
184C2×D44—21no—
185C2×D44—22no—
186C2×D44C22×C414yes—
187C2×D44C2412yes—
188C2×C4×D11—28no—
189C2×C4×D11—24no—
190C2×C4×D11—24no—
191C2×C4×D11—24no—
192C2×C4×D11—44no—
193C2×C4×D11—44no—
194C2×Dic22—21no—
195C2×Dic22—22no—
196C2×Dic22C22×C414yes—
197C2×Dic22C2412yes—
198C11×C4⋊C4—28no—
199C11×C4⋊C4—28no—
200C11×C4⋊C4—24no—
201C11×C4⋊C4—22no—
202C11×C4⋊C4C2414yes—
203C42×C11—28no—
204C42×C11—28no—
205C42×C11C2×D412yes—
206C42×C11C2×D412yes—
207C42×C11C2×D414yes—
208C42×C11C2×D414yes—
209C42×C11C2412yes—
210C42×C11C2412yes—
211C22⋊Dic11—24no—
212#4326C22×C4132yescomplemented
213#4325C22×C4132yescomplemented
214(C2×D11)⋊C4—24no—
215(C2×D11)⋊C4—24no—
216C4⋊Dic11—21no—
217C4⋊Dic11—21no—
218C4⋊Dic11C2412yes—
219C4⋊Dic11C2412yes—
220Dic11⋊C4—24no—
221Dic11⋊C4—24no—
222C4×Dic11—24no—
223C4×Dic11—24no—
224C4×Dic11—24no—
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×#41—111no—
233C22×C4×Q8D1111yescharacteristic, complemented
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×C11C4×D414yes—
246C23×C11C22×D412yes—
247C23×C11C22×D411yescharacteristic
248C22×D11—24no—
249C22×D11—22no—
250C22×D11—42no—
251C22×D11—42no—
252Q8×C11—28no—
253Q8×C11—216no—
254Q8×C11—24no—
255Q8×C11C23×C418yes—
256C2×C4×C11—28no—
257C2×C4×C11—216no—
258C2×C4×C11—22no—
259C2×C4×C11—22no—
260C2×C4×C11—22no—
261C2×C4×C11—24no—
262C2×C4×C11—28no—
263C2×C4×C11—24no—
264C2×C4×C11—44no—
265C2×C4×C11—48no—
266C2×C4×C11—44no—
267C2×C4×C11C4×D414yes—
268C2×C4×C11C4×D418yes—
269C2×C4×C11#13714yescomplemented
270C2×C4×C11C23×C412yes—
271C2×C4×C11C23×C414yes—
272C2×C4×C11C22×D412yes—
273C2×C4×C11C22×D412yes—
274C2×C4×C11C22×D412yes—
275C2×C4×C11C22×D412yes—
276C2×C4×C11C22×D411yescharacteristic
277C2×C4×C11C22×D412yes—
278C2×C4×C11C2×#4112yes—
279C2×C4×C11C2×#4114yes—
280C2×C4×C11C2511yescharacteristic
281C22⋊D11—216no—
282C2×Dic11—24no—
283C2×Dic11—22no—
284C2×Dic11—22no—
285C2×Dic11—22no—
286C2×Dic11—42no—
287C2×Dic11—42no—
288D44—24no—
289D44—22no—
290D44C23×C414yes—
291C4×D11—216no—
292C4×D11—48no—
293C4×D11—48no—
294Dic22—24no—
295Dic22—22no—
296Dic22C23×C414yes—
297C11⋊C8—24no—
298C11⋊C8C23×C418yes—
299C22×#41—111no—
300C23×Q8C2×D1111yescharacteristic
301C2×#137—118no—
302C2×#137—1116no—
303C22×Q16—112no—
304C22×SD16—112no—
305C22×M16—111no—
306C22×M16—111no—
307C4×#41—118no—
308C4×#41—224no—
309C2×C4×Q8—21no—
310C2×C4×Q8—24no—
311C2×C4×Q8—21no—
312C2×C4×Q8—111no—
313C2×C4×Q8—111no—
314C2×C4×Q8C2×D1112yes—
315C2×C4×Q8C2×D1112yes—
316C2×C4×Q8C2×D1118yescomplemented
317C2×C4×D4—111no—
318C2×C4×D4—111no—
319C2×C4×D4—221no—
320C2×C4×D4—221no—
321C2×#117—111no—
322C2×#117—221no—
323C22×C4⋊C4—21no—
324C22×C4⋊C4C2×D1111yescharacteristic
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×C11C2×C4×D414yes—
348C22×C11C2×C4×D412yes—
349C22×C11C2×#13712yes—
350C22×C11#57512yes—
351C22×C11C23×D411yescharacteristic
352C2×D11—24no—
353C2×D11—48no—
354C2×D11—42no—
355C2×D11—42no—
356C4×C11—28no—
357C4×C11—22no—
358C4×C11—22no—
359C4×C11—22no—
360C4×C11—44no—
361C4×C11C2×C4×D412yes—
362C4×C11C2×C4×D414yes—
363C4×C11C2×#13714yescomplemented
364C4×C11C24×C411yescharacteristic
365C4×C11C22×#4111yescharacteristic
366Dic11—24no—
367Dic11—42no—
368Dic11—42no—
369C2×#41—118no—
370C2×#41—114no—
371C2×#41—224no—
372C2×#41—222no—
373C22×Q8—24no—
374C22×Q8—21no—
375C22×Q8—22no—
376C22×Q8—111no—
377C22×Q8C4×D1118yescomplemented
378C22×Q8C22×D1112yes—
379C22×Q8C22×D1114yes—
380C22×D4—111no—
381C22×D4—221no—
382C23×C4—21no—
383C23×C4—21no—
384C23×C4—221no—
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—24no—
402C4×Q8—24no—
403C4×Q8—28no—
404C4×Q8—28no—
405C4×Q8—114no—
406C4×Q8—114no—
407C4×Q8—222no—
408C4×Q8—222no—
409C4×Q8C22×D1118yes—
410C4×Q8C22×D1118yes—
411C4×D4—114no—
412C4×D4—114no—
413C4×D4—228no—
414C4×D4—228no—
415C4×D4—222no—
416C4×D4—222no—
417#117—114no—
418#117—222no—
419#117—228no—
420C2×C4⋊C4—22no—
421C2×C4⋊C4—22no—
422C2×C4⋊C4—28no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—22no—
425C2×C4⋊C4—111no—
426C2×C4⋊C4—111no—
427C2×C4⋊C4—221no—
428C2×C4⋊C4—221no—
429C2×C4⋊C4C22×D1112yes—
430C2×C4⋊C4C22×D1114yes—
431C2×C22⋊C4—221no—
432C2×C22⋊C4—221no—
433C2×C22⋊C4—221no—
434C2×C42—22no—
435C2×C42—28no—
436C2×C42—22no—
437C2×C42—221no—
438C2×C42—221no—
439C2×C42—221no—
440C2×C42—228no—
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×C11C4×#13714yescomplemented
457C2×C11C22×C4×D411yescharacteristic
458C2×C11C22×#13711yescharacteristic
459C2×C11C2×#57511yescharacteristic
460D11—44no—
461C24—221no—
462C24C2×C22⋊D1111yescharacteristic
463#41—1116no—
464#41—2216no—
465#41—228no—
466C2×Q8—28no—
467C2×Q8—216no—
468C2×Q8—24no—
469C2×Q8—28no—
470C2×Q8—24no—
471C2×Q8—22no—
472C2×Q8—114no—
473C2×Q8—112no—
474C2×Q8—222no—
475C2×Q8—221no—
476C2×Q8C2×C4×D1118yes—
477C2×Q8C2×C4×D11116yescomplemented
478C2×Q8C23×D1114yes—
479C2×D4—114no—
480C2×D4—112no—
481C2×D4—228no—
482C2×D4—224no—
483C2×D4—222no—
484C2×D4—221no—
485C22×C4—28no—
486C22×C4—22no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—22no—
491C22×C4—42no—
492C22×C4—44no—
493C22×C4—221no—
494C22×C4—228no—
495C22×C4—224no—
496C22×C4—221no—
497C22×C4—221no—
498C22×C4—224no—
499C22×C4—224no—
500C22×C4—444no—
501C22×C4—444no—
502C22×C4C2×C4×D1114yes—
503C22×C4#433914yes—
504C22×C4C2×C22⋊D1111yescharacteristic
505C22×C4C2×C22⋊D1114yes—
506C22×C4C2×C22⋊D1111yescharacteristic
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—28no—
523C4⋊C4—28no—
524C4⋊C4—24no—
525C4⋊C4—22no—
526C4⋊C4—112no—
527C4⋊C4—112no—
528C4⋊C4—221no—
529C4⋊C4—221no—
530C4⋊C4—224no—
531C4⋊C4—224no—
532C4⋊C4C23×D1114yes—
533C22⋊C4—224no—
534C22⋊C4—224no—
535C22⋊C4—224no—
536C42—28no—
537C42—28no—
538C42—224no—
539C42—224no—
540C42—224no—
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—224no—
551C23—222no—
552C23—442no—
553C23—442no—
554C23C4×C22⋊D1114yes—
555C23C22×C22⋊D1112yes—
556C23C22×C22⋊D1111yescharacteristic
557Q8—28no—
558Q8—216no—
559Q8—24no—
560Q8—114no—
561Q8—224no—
562Q8—222no—
563Q8C22×C4×D1118yes—
564D4—114no—
565D4—2216no—
566D4—224no—
567D4—222no—
568C2×C4—28no—
569C2×C4—216no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—24no—
574C2×C4—28no—
575C2×C4—24no—
576C2×C4—44no—
577C2×C4—48no—
578C2×C4—44no—
579C2×C4—224no—
580C2×C4—222no—
581C2×C4—2216no—
582C2×C4—222no—
583C2×C4—222no—
584C2×C4—448no—
585C2×C4—442no—
586C2×C4—442no—
587C2×C4—448no—
588C2×C4C4×C22⋊D1114yes—
589C2×C4C4×C22⋊D1118yes—
590C2×C4#6699514yesdirect 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—224no—
608C22—448no—
609C22—442no—
610C22—442no—
611C22C2×C4×C22⋊D1114yes—
612C22C2×C4×C22⋊D1112yes—
613C22C2×#6699512yes—
614C22#1062335312yes—
615C22C23×C22⋊D1111yescharacteristic
616C4—28no—
617C4—22no—
618C4—22no—
619C4—22no—
620C4—44no—
621C4—224no—
622C4—442no—
623C4—442no—
624C4C2×C4×C22⋊D1114yes—
625C4C2×C4×C22⋊D1112yes—
626C4C2×#6699514yesdirect product factor
627C4C23×C4×D1111yescharacteristic
628C4C22×#433911yescharacteristic
629C2—24no—
630C2—444no—
631C2C4×#6699514yesdirect product factor
632C2C22×C4×C22⋊D1111yescharacteristic
633C2C22×#6699511yescharacteristic
634C2C2×#1062335311yescharacteristic
subgroupG/H
centerC22×C4C2×C22⋊D11
commutatorC4×C11C24×C4
FrattiniC2×C4C24×D11
FittingC22×C4×Q8×C11C2
socleC23×C11C22×D4
prime radicalC22×#4339C22
cosocleC2×C4×C11C25
hypercenterC22×C4×Q8D11
hypocenterC11C2×C4×#137
LCSG ▷ C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C22×C42 ◁ C22×C4×Q8

Complements

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

NH ≅ G/Ntype
3. C4×#66995C2direct (N × H)
4. C2×#10622643C2semidirect
5. C2×#10622639C2semidirect
6. C2×C4×#4326C2semidirect
7. C2×C4×#4325C2semidirect
8. C2×#10622577C2semidirect
10. C2×#10622838C2semidirect
11. C2×C4×#4318C2semidirect
12. C22×C4×Q8×C11C2semidirect
20. C2×C4×Q8×C11C22semidirect
26. C2×#66995C4direct (N × H)
42. #10622838C22semidirect
45. #10622643C22semidirect
46. C4×#4326C22semidirect
47. #10622639C22semidirect
48. C4×#4325C22semidirect
52. #10622577C22semidirect
55. C4×#4318C22semidirect
61. C22×Q8×C11C2×C4semidirect
102. C2×#4326C2×C4semidirect
104. #66995C2×C4direct (N × H)
105. C2×#4325C2×C4semidirect
121. C2×#4318C2×C4semidirect
154. C2×Q8×C11C22×C4semidirect
212. #4326C22×C4semidirect
213. #4325C22×C4semidirect
226. #4318C22×C4semidirect
233. C22×C4×Q8D11semidirect
269. C2×C4×C11#137semidirect
316. C2×C4×Q8C2×D11semidirect
363. C4×C11C2×#137semidirect
377. C22×Q8C4×D11semidirect
456. C2×C11C4×#137semidirect
477. C2×Q8C2×C4×D11semidirect
547. C11C2×C4×#137semidirect
590. C2×C4#66995direct (N × H)
626. C4C2×#66995direct (N × H)
631. C2C4×#66995direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#669952
C2×C4×#43392
C4×#669952
C2×#106226432
C2×#106226392
C2×C4×#43262
C2×C4×#43252
C2×#106225772
C2×#106225792
C2×#106228382
C2×C4×#43182
C22×C4×Q8×C112
C2×C4×#13711