Finite Group Databasebeta

← C2×#11310 #358349

Subgroups — C2×#11310 #358349

Order 512.

1462 conjugacy classes of subgroups.

The subgroup lattice has 962 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#344C211yesmaximal, characteristic
2C22×#344C211yesmaximal, characteristic
3C2×#1742C211yesmaximal, characteristic
4C2×#1733C211yesmaximal, characteristic
5C2×#1733C211yesmaximal, characteristic
6C22×#338C211yesmaximal, characteristic
7C22×H(3,ℤ/4)C211yesmaximal, characteristic
8#11310C218yesmaximal, direct product factor
9C23×M16C2211yescharacteristic
10C23×M16C2211yescharacteristic
11C23×M16C2211yescharacteristic
12C23×M16C2211yescharacteristic
13C22×#117C2211yescharacteristic
14C22×#117C2211yescharacteristic
15C22×#117C2211yescharacteristic
16C2×#344—22no—
17C2×#344—22no—
18C2×#344—22no—
19C2×#344—22no—
20C2×#344C2214yes—
21C2×#344C2214yes—
22#1742—22no—
23#1742C2214yes—
24C2×#343—22no—
25#1733—22no—
26#1733C414yescomplemented
27#1733C2214yes—
28#1733C2214yes—
29C2×#339—22no—
30C2×#339C414yescomplemented
31C2×#338—22no—
32C2×#338—22no—
33C2×#338C2214yes—
34C2×H(3,ℤ/4)—22no—
35C2×H(3,ℤ/4)—22no—
36C2×H(3,ℤ/4)C2214yes—
37C24×C4C2311yescharacteristic
38C22×M16—21no—
39C22×M16—21no—
40C22×M16—21no—
41C22×M16—21no—
42C22×M16—21no—
43C22×M16—21no—
44C22×M16—21no—
45C22×M16—21no—
46C22×M16—21no—
47C22×M16—21no—
48C22×M16—21no—
49C22×M16—21no—
50C22×M16—21no—
51C22×M16—21no—
52C22×M16—21no—
53C22×M16—21no—
54C22×M16—21no—
55C22×M16—21no—
56C22×M16—21no—
57C22×M16—21no—
58C22×M16—21no—
59C22×M16—21no—
60C22×M16—21no—
61C22×M16—21no—
62C22×M16—21no—
63C22×M16—21no—
64C22×M16—21no—
65C22×M16—21no—
66C22×M16—21no—
67C22×M16—21no—
68C22×M16—21no—
69C22×M16—21no—
70C22×M16—21no—
71C22×M16—21no—
72C22×M16—21no—
73C22×M16—21no—
74C22×M16—21no—
75C22×M16—21no—
76C22×M16—21no—
77C22×M16—21no—
78C22×M16—21no—
79C22×M16—21no—
80C22×M16—21no—
81C22×M16—21no—
82C22×M16—21no—
83C22×M16C2×C412yes—
84C22×M16C2×C412yes—
85C22×M16D412yes—
86C22×M16D412yes—
87C22×M16D412yes—
88C22×M16D412yes—
89C22×M16Q812yes—
90C22×M16C2312yes—
91C22×M16C2312yes—
92C22×M16C2312yes—
93C22×M16C2312yes—
94C23×C8—21no—
95C23×C8—21no—
96C23×C8—21no—
97C23×C8Q812yes—
98C2×#117—21no—
99C2×#117—21no—
100C2×#117—21no—
101C2×#117—21no—
102C2×#117—21no—
103C2×#117—21no—
104C2×#117—21no—
105C2×#117—21no—
106C2×#117—21no—
107C2×#117—21no—
108C2×#117—21no—
109C2×#117—21no—
110C2×#117—21no—
111C2×#117—21no—
112C2×#117—21no—
113C2×#117—21no—
114C2×#117—21no—
115C2×#117—21no—
116C2×#117—21no—
117C2×#117—21no—
118C2×#117—21no—
119C2×#117—21no—
120C2×#117—21no—
121C2×#117—21no—
122C2×#117—21no—
123C2×#117—21no—
124C2×#117—21no—
125C2×#117—21no—
126C2×#117C2×C412yes—
127C2×#117C2×C412yes—
128C2×#117C2×C412yes—
129C2×#117D412yes—
130C2×#117D412yes—
131C2×#117C2312yes—
132C2×#117C2312yes—
133C2×#117C2312yes—
134C22×C4⋊C4—21no—
135C22×C4⋊C4—21no—
136C22×C4⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4—21no—
139C22×C22⋊C4—21no—
140C22×C42—21no—
141C22×C42—21no—
142C22×C42C2×C412yes—
143#344—28no—
144#344—28no—
145#343—28no—
146#339—28no—
147#339C2×C4116yescomplemented
148#338—28no—
149H(3,ℤ/4)—28no—
150C25#4111yescharacteristic
151C23×C4—22no—
152C23×C4—41no—
153C23×C4—41no—
154C23×C4C22×C411yescharacteristic
155C23×C4C22×C411yescharacteristic
156C23×C4C2×D411yescharacteristic
157C23×C4C2×D411yescharacteristic
158C23×C4C2×D411yescharacteristic
159C23×C4C2×D411yescharacteristic
160C23×C4C2×D411yescharacteristic
161C23×C4C2×D411yescharacteristic
162C23×C4C2×Q811yescharacteristic
163C23×C4C2×Q811yescharacteristic
164C23×C4#4111yescharacteristic
165C23×C4#4111yescharacteristic
166C23×C4#4111yescharacteristic
167C23×C4#4111yescharacteristic
168C23×C4#4111yescharacteristic
169C23×C4#4111yescharacteristic
170C23×C4#4111yescharacteristic
171C23×C4#4111yescharacteristic
172C23×C4#4111yescharacteristic
173C23×C4#4111yescharacteristic
174C23×C4#4111yescharacteristic
175C23×C4#4111yescharacteristic
176C23×C4#4111yescharacteristic
177C23×C4#4111yescharacteristic
178C23×C4#4111yescharacteristic
179C23×C4#4111yescharacteristic
180C23×C4#4111yescharacteristic
181C23×C4#4111yescharacteristic
182C23×C4#4111yescharacteristic
183C23×C4C2411yescharacteristic
184C2×M16—22no—
185C2×M16—22no—
186C2×M16—22no—
187C2×M16—22no—
188C2×M16—22no—
189C2×M16—22no—
190C2×M16—22no—
191C2×M16—22no—
192C2×M16—22no—
193C2×M16—22no—
194C2×M16—22no—
195C2×M16—22no—
196C2×M16—22no—
197C2×M16—22no—
198C2×M16—22no—
199C2×M16—22no—
200C2×M16—22no—
201C2×M16—22no—
202C2×M16—22no—
203C2×M16—22no—
204C2×M16—22no—
205C2×M16—22no—
206C2×M16—22no—
207C2×M16—22no—
208C2×M16—22no—
209C2×M16—22no—
210C2×M16—22no—
211C2×M16—22no—
212C2×M16—22no—
213C2×M16—22no—
214C2×M16—22no—
215C2×M16—22no—
216C2×M16—22no—
217C2×M16—22no—
218C2×M16—22no—
219C2×M16—22no—
220C2×M16—22no—
221C2×M16—22no—
222C2×M16—22no—
223C2×M16—22no—
224C2×M16—22no—
225C2×M16—22no—
226C2×M16—22no—
227C2×M16—22no—
228C2×M16—22no—
229C2×M16—22no—
230C2×M16—22no—
231C2×M16—22no—
232C2×M16—22no—
233C2×M16—22no—
234C2×M16—22no—
235C2×M16—22no—
236C2×M16—22no—
237C2×M16—22no—
238C2×M16—22no—
239C2×M16—22no—
240C2×M16—22no—
241C2×M16—41no—
242C2×M16—41no—
243C2×M16—41no—
244C2×M16—41no—
245C2×M16—41no—
246C2×M16—41no—
247C2×M16—41no—
248C2×M16—41no—
249C2×M16—41no—
250C2×M16—41no—
251C2×M16—41no—
252C2×M16—41no—
253C2×M16—41no—
254C2×M16—41no—
255C2×M16—41no—
256C2×M16—41no—
257C2×M16—41no—
258C2×M16—41no—
259C2×M16—41no—
260C2×M16—41no—
261C2×M16—41no—
262C2×M16—41no—
263C2×M16—41no—
264C2×M16—41no—
265C2×M16—41no—
266C2×M16—41no—
267C2×M16—41no—
268C2×M16—41no—
269C2×M16—41no—
270C2×M16—41no—
271C2×M16—41no—
272C2×M16—41no—
273C2×M16—41no—
274C2×M16—41no—
275C2×M16—41no—
276C2×M16—41no—
277C2×M16—41no—
278C2×M16—41no—
279C2×M16—41no—
280C2×M16—41no—
281C2×M16—41no—
282C2×M16—41no—
283C2×M16—41no—
284C2×M16—41no—
285C2×M16—41no—
286C2×M16—41no—
287C2×M16—41no—
288C2×M16—41no—
289C2×M16—41no—
290C2×M16—41no—
291C2×M16—41no—
292C2×M16—41no—
293C2×M16C22×C414yes—
294C2×M16C2×D414yes—
295C2×M16C2×D414yes—
296C22×C8—22no—
297C22×C8—22no—
298C22×C8—22no—
299C22×C8—22no—
300C22×C8—22no—
301C22×C8—22no—
302C22×C8—22no—
303C22×C8—22no—
304C22×C8—22no—
305C22×C8—22no—
306C22×C8—22no—
307C22×C8—22no—
308C22×C8—22no—
309C22×C8—22no—
310C22×C8—22no—
311C22×C8—41no—
312C22×C8—41no—
313C22×C8—41no—
314C22×C8—41no—
315C22×C8—41no—
316C22×C8—41no—
317C22×C8—41no—
318C22×C8—41no—
319C22×C8—41no—
320C22×C8—41no—
321C22×C8—41no—
322C22×C8—41no—
323C22×C8C2×Q814yes—
324#117—22no—
325#117—22no—
326#117—22no—
327#117—22no—
328#117—22no—
329#117—22no—
330#117—22no—
331#117—22no—
332#117—22no—
333#117—22no—
334#117—22no—
335#117—22no—
336#117—22no—
337#117—22no—
338#117—22no—
339#117—22no—
340#117—22no—
341#117—22no—
342#117—22no—
343#117—22no—
344#117—22no—
345#117—22no—
346#117—22no—
347#117—22no—
348#117—22no—
349#117—22no—
350#117—41no—
351#117—41no—
352#117—41no—
353#117—41no—
354#117—41no—
355#117—41no—
356#117—41no—
357#117—41no—
358#117—41no—
359#117—41no—
360#117—41no—
361#117—41no—
362#117—41no—
363#117—41no—
364#117—41no—
365#117—41no—
366#117—41no—
367#117—41no—
368#117—41no—
369#117—41no—
370#117C22×C414yes—
371#117C2×D414yes—
372C2×C4⋊C4—22no—
373C2×C4⋊C4—22no—
374C2×C4⋊C4—22no—
375C2×C4⋊C4—22no—
376C2×C4⋊C4—22no—
377C2×C4⋊C4—22no—
378C2×C4⋊C4—22no—
379C2×C4⋊C4—22no—
380C2×C4⋊C4—41no—
381C2×C4⋊C4—41no—
382C2×C4⋊C4—41no—
383C2×C4⋊C4—41no—
384C2×C4⋊C4—41no—
385C2×C4⋊C4—41no—
386C2×C4⋊C4—41no—
387C2×C4⋊C4—41no—
388C2×C4⋊C4—41no—
389C2×C4⋊C4—41no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—22no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—22no—
395C2×C22⋊C4—22no—
396C2×C22⋊C4—22no—
397C2×C22⋊C4—22no—
398C2×C22⋊C4—41no—
399C2×C22⋊C4—41no—
400C2×C22⋊C4—41no—
401C2×C22⋊C4—41no—
402C2×C22⋊C4—41no—
403C2×C22⋊C4—41no—
404C2×C22⋊C4—41no—
405C2×C22⋊C4—41no—
406C2×C22⋊C4—41no—
407C2×C22⋊C4—41no—
408C2×C42—22no—
409C2×C42—22no—
410C2×C42—22no—
411C2×C42—22no—
412C2×C42—22no—
413C2×C42—22no—
414C2×C42—22no—
415C2×C42—22no—
416C2×C42—22no—
417C2×C42—22no—
418C2×C42—22no—
419C2×C42—41no—
420C2×C42—41no—
421C2×C42—41no—
422C2×C42—41no—
423C2×C42—41no—
424C2×C42—41no—
425C2×C42C22×C414yes—
426C24—82no—
427C24C4×D411yescharacteristic
428C24C4×D411yescharacteristic
429C24#12311yescharacteristic
430C24#12311yescharacteristic
431C24#12411yescharacteristic
432C24#12411yescharacteristic
433C24#12511yescharacteristic
434C24#12511yescharacteristic
435C24#12611yescharacteristic
436C24#12611yescharacteristic
437C24#12611yescharacteristic
438C24#12611yescharacteristic
439C24#12611yescharacteristic
440C24#12611yescharacteristic
441C24C2×#4111yescharacteristic
442C22×C4—24no—
443C22×C4—42no—
444C22×C4—42no—
445C22×C4—42no—
446C22×C4—42no—
447C22×C4—42no—
448C22×C4—42no—
449C22×C4—42no—
450C22×C4—42no—
451C22×C4—84no—
452C22×C4—84no—
453C22×C4—84no—
454C22×C4#11711yescharacteristic
455C22×C4#11711yescharacteristic
456C22×C4#11711yescharacteristic
457C22×C4#11711yescharacteristic
458C22×C4#11711yescharacteristic
459C22×C4#11711yescharacteristic
460C22×C4#11711yescharacteristic
461C22×C4#11711yescharacteristic
462C22×C4#11711yescharacteristic
463C22×C4#11711yescharacteristic
464C22×C4#11711yescharacteristic
465C22×C4#11711yescharacteristic
466C22×C4C4×D411yescharacteristic
467C22×C4C4×D411yescharacteristic
468C22×C4C4×D411yescharacteristic
469C22×C4C4×D411yescharacteristic
470C22×C4C4×D411yescharacteristic
471C22×C4C4×D411yescharacteristic
472C22×C4C4×D411yescharacteristic
473C22×C4C4×D411yescharacteristic
474C22×C4C4×D411yescharacteristic
475C22×C4C4×D411yescharacteristic
476C22×C4C4×Q811yescharacteristic
477C22×C4C4×Q811yescharacteristic
478C22×C4C4×Q811yescharacteristic
479C22×C4C4×Q811yescharacteristic
480C22×C4#12111yescharacteristic
481C22×C4#12111yescharacteristic
482C22×C4#12111yescharacteristic
483C22×C4#12111yescharacteristic
484C22×C4#12111yescharacteristic
485C22×C4#12111yescharacteristic
486C22×C4#12111yescharacteristic
487C22×C4#12111yescharacteristic
488C22×C4#12111yescharacteristic
489C22×C4#12111yescharacteristic
490C22×C4#12111yescharacteristic
491C22×C4#12111yescharacteristic
492C22×C4C22⋊Q811yescharacteristic
493C22×C4C22⋊Q811yescharacteristic
494C22×C4C22⋊Q811yescharacteristic
495C22×C4C22⋊Q811yescharacteristic
496C22×C4C22⋊Q811yescharacteristic
497C22×C4C22⋊Q811yescharacteristic
498C22×C4C22⋊Q811yescharacteristic
499C22×C4C22⋊Q811yescharacteristic
500C22×C4C22⋊Q811yescharacteristic
501C22×C4C22⋊Q811yescharacteristic
502C22×C4C22⋊Q811yescharacteristic
503C22×C4C22⋊Q811yescharacteristic
504C22×C4#12311yescharacteristic
505C22×C4#12311yescharacteristic
506C22×C4#12311yescharacteristic
507C22×C4#12311yescharacteristic
508C22×C4#12311yescharacteristic
509C22×C4#12311yescharacteristic
510C22×C4#12311yescharacteristic
511C22×C4#12311yescharacteristic
512C22×C4#12311yescharacteristic
513C22×C4#12311yescharacteristic
514C22×C4#12311yescharacteristic
515C22×C4#12311yescharacteristic
516C22×C4#12311yescharacteristic
517C22×C4#12311yescharacteristic
518C22×C4#12311yescharacteristic
519C22×C4#12311yescharacteristic
520C22×C4#12311yescharacteristic
521C22×C4#12311yescharacteristic
522C22×C4#12311yescharacteristic
523C22×C4#12311yescharacteristic
524C22×C4#12311yescharacteristic
525C22×C4#12311yescharacteristic
526C22×C4#12411yescharacteristic
527C22×C4#12411yescharacteristic
528C22×C4#12411yescharacteristic
529C22×C4#12411yescharacteristic
530C22×C4#12411yescharacteristic
531C22×C4#12411yescharacteristic
532C22×C4#12411yescharacteristic
533C22×C4#12411yescharacteristic
534C22×C4#12411yescharacteristic
535C22×C4#12411yescharacteristic
536C22×C4#12511yescharacteristic
537C22×C4#12511yescharacteristic
538C22×C4#12511yescharacteristic
539C22×C4#12511yescharacteristic
540C22×C4#12511yescharacteristic
541C22×C4#12511yescharacteristic
542C22×C4#12511yescharacteristic
543C22×C4#12511yescharacteristic
544C22×C4#12511yescharacteristic
545C22×C4#12511yescharacteristic
546C22×C4#12611yescharacteristic
547C22×C4#12611yescharacteristic
548C22×C4#12611yescharacteristic
549C22×C4#12611yescharacteristic
550C22×C4#12611yescharacteristic
551C22×C4#12611yescharacteristic
552C22×C4#12611yescharacteristic
553C22×C4#12611yescharacteristic
554C22×C4#12611yescharacteristic
555C22×C4#12611yescharacteristic
556C22×C4#12611yescharacteristic
557C22×C4#12611yescharacteristic
558C22×C4#12611yescharacteristic
559C22×C4#12611yescharacteristic
560C22×C4#12611yescharacteristic
561C22×C4#12611yescharacteristic
562C22×C4#12611yescharacteristic
563C22×C4#12611yescharacteristic
564C22×C4#12611yescharacteristic
565C22×C4#12611yescharacteristic
566C22×C4#12611yescharacteristic
567C22×C4#12611yescharacteristic
568C22×C4#12611yescharacteristic
569C22×C4#12611yescharacteristic
570C22×C4#12611yescharacteristic
571C22×C4#12611yescharacteristic
572C22×C4#12611yescharacteristic
573C22×C4#12611yescharacteristic
574C22×C4#12611yescharacteristic
575C22×C4#12611yescharacteristic
576C22×C4#12611yescharacteristic
577C22×C4#12611yescharacteristic
578C22×C4#12611yescharacteristic
579C22×C4#12611yescharacteristic
580C22×C4C23×C411yescharacteristic
581C22×C4C22×D411yescharacteristic
582C22×C4C22×D411yescharacteristic
583C22×C4C22×D411yescharacteristic
584C22×C4C22×Q811yescharacteristic
585C22×C4C2×#4111yescharacteristic
586C22×C4C2×#4111yescharacteristic
587C22×C4C2×#4111yescharacteristic
588C22×C4C2×#4111yescharacteristic
589C22×C4C2×#4111yescharacteristic
590C22×C4C2×#4111yescharacteristic
591C22×C4C2×#4111yescharacteristic
592C22×C4C2×#4111yescharacteristic
593C22×C4C2×#4111yescharacteristic
594M16—24no—
595M16—24no—
596M16—24no—
597M16—24no—
598M16—24no—
599M16—24no—
600M16—42no—
601M16—42no—
602M16—42no—
603M16—42no—
604M16—42no—
605M16—42no—
606M16—42no—
607M16—42no—
608M16—42no—
609M16—42no—
610M16—42no—
611M16—42no—
612M16—42no—
613M16—42no—
614M16—42no—
615M16—42no—
616M16—42no—
617M16—42no—
618M16—42no—
619M16—42no—
620M16—42no—
621M16—42no—
622M16—42no—
623M16—42no—
624M16—42no—
625M16—42no—
626C2×C8—24no—
627C2×C8—24no—
628C2×C8—24no—
629C2×C8—24no—
630C2×C8—24no—
631C2×C8—24no—
632C2×C8—42no—
633C2×C8—42no—
634C2×C8—42no—
635C2×C8—42no—
636C2×C8—42no—
637C2×C8—42no—
638C2×C8—42no—
639C2×C8—42no—
640C2×C8—42no—
641C2×C8—42no—
642C2×C8—42no—
643C2×C8—42no—
644C2×C8—42no—
645C2×C8—42no—
646C2×C8—42no—
647C2×C8—42no—
648C2×C8—42no—
649C2×C8—42no—
650C2×C8—42no—
651C2×C8—42no—
652C2×C8—42no—
653C2×C8—42no—
654C4⋊C4—24no—
655C4⋊C4—24no—
656C4⋊C4—42no—
657C4⋊C4—42no—
658C4⋊C4—42no—
659C4⋊C4—42no—
660C4⋊C4—42no—
661C4⋊C4—42no—
662C4⋊C4—42no—
663C4⋊C4—42no—
664C4⋊C4—42no—
665C4⋊C4—42no—
666C22⋊C4—24no—
667C22⋊C4—24no—
668C22⋊C4—42no—
669C22⋊C4—42no—
670C22⋊C4—42no—
671C22⋊C4—42no—
672C22⋊C4—42no—
673C22⋊C4—42no—
674C22⋊C4—42no—
675C22⋊C4—42no—
676C22⋊C4—42no—
677C22⋊C4—42no—
678C42—24no—
679C42—24no—
680C42—24no—
681C42—24no—
682C42—42no—
683C42—42no—
684C42—42no—
685C42—42no—
686C42—42no—
687C42—42no—
688C42—42no—
689C42—42no—
690C23—42no—
691C23—42no—
692C23—42no—
693C23—42no—
694C23—42no—
695C23—42no—
696C23—42no—
697C23—81no—
698C23—81no—
699C23—81no—
700C23—81no—
701C23—81no—
702C23—81no—
703C23—81no—
704C23—81no—
705C23#38711yescharacteristic
706C23#38711yescharacteristic
707C23#38711yescharacteristic
708C23#38711yescharacteristic
709C23#38811yescharacteristic
710C23#38811yescharacteristic
711C23#38811yescharacteristic
712C23#38811yescharacteristic
713C23#38811yescharacteristic
714C23#38811yescharacteristic
715C23#38811yescharacteristic
716C23#38811yescharacteristic
717C23#39711yescharacteristic
718C23#39711yescharacteristic
719C23#39711yescharacteristic
720C23#39711yescharacteristic
721C23#40011yescharacteristic
722C23#40011yescharacteristic
723C23#40011yescharacteristic
724C23#40011yescharacteristic
725C23#40011yescharacteristic
726C23#40011yescharacteristic
727C23#40011yescharacteristic
728C23#40011yescharacteristic
729C23#40111yescharacteristic
730C23#40111yescharacteristic
731C23#40111yescharacteristic
732C23#40111yescharacteristic
733C23C2×C4×D411yescharacteristic
734C23C2×#12311yescharacteristic
735C23C2×#12411yescharacteristic
736C23C2×#12511yescharacteristic
737C23C2×#12611yescharacteristic
738C23C2×#12611yescharacteristic
739C23C2×#12611yescharacteristic
740C2×C4—44no—
741C2×C4—44no—
742C2×C4—44no—
743C2×C4—84no—
744C2×C4—84no—
745C2×C4—84no—
746C2×C4—84no—
747C2×C4—84no—
748C2×C4—84no—
749C2×C4—84no—
750C2×C4—84no—
751C2×C4—84no—
752C2×C4#38311yescharacteristic
753C2×C4#38311yescharacteristic
754C2×C4#38311yescharacteristic
755C2×C4#38311yescharacteristic
756C2×C4#38311yescharacteristic
757C2×C4#38311yescharacteristic
758C2×C4#38311yescharacteristic
759C2×C4#38311yescharacteristic
760C2×C4#38711yescharacteristic
761C2×C4#38711yescharacteristic
762C2×C4#38711yescharacteristic
763C2×C4#38711yescharacteristic
764C2×C4#38711yescharacteristic
765C2×C4#38711yescharacteristic
766C2×C4#38711yescharacteristic
767C2×C4#38711yescharacteristic
768C2×C4#38711yescharacteristic
769C2×C4#38711yescharacteristic
770C2×C4#38711yescharacteristic
771C2×C4#38711yescharacteristic
772C2×C4#38711yescharacteristic
773C2×C4#38711yescharacteristic
774C2×C4#38711yescharacteristic
775C2×C4#38711yescharacteristic
776C2×C4#38711yescharacteristic
777C2×C4#38711yescharacteristic
778C2×C4#38711yescharacteristic
779C2×C4#38711yescharacteristic
780C2×C4#38811yescharacteristic
781C2×C4#38811yescharacteristic
782C2×C4#38811yescharacteristic
783C2×C4#38811yescharacteristic
784C2×C4#38811yescharacteristic
785C2×C4#38811yescharacteristic
786C2×C4#38811yescharacteristic
787C2×C4#38811yescharacteristic
788C2×C4#38811yescharacteristic
789C2×C4#38811yescharacteristic
790C2×C4#38811yescharacteristic
791C2×C4#38811yescharacteristic
792C2×C4#38811yescharacteristic
793C2×C4#38811yescharacteristic
794C2×C4#38811yescharacteristic
795C2×C4#38811yescharacteristic
796C2×C4#39611yescharacteristic
797C2×C4#39611yescharacteristic
798C2×C4#39611yescharacteristic
799C2×C4#39611yescharacteristic
800C2×C4#39611yescharacteristic
801C2×C4#39611yescharacteristic
802C2×C4#39611yescharacteristic
803C2×C4#39611yescharacteristic
804C2×C4#39711yescharacteristic
805C2×C4#39711yescharacteristic
806C2×C4#39711yescharacteristic
807C2×C4#39711yescharacteristic
808C2×C4#39711yescharacteristic
809C2×C4#39711yescharacteristic
810C2×C4#39711yescharacteristic
811C2×C4#39711yescharacteristic
812C2×C4#39711yescharacteristic
813C2×C4#39711yescharacteristic
814C2×C4#39711yescharacteristic
815C2×C4#39711yescharacteristic
816C2×C4#39711yescharacteristic
817C2×C4#39711yescharacteristic
818C2×C4#39711yescharacteristic
819C2×C4#39711yescharacteristic
820C2×C4#39711yescharacteristic
821C2×C4#39711yescharacteristic
822C2×C4#39711yescharacteristic
823C2×C4#39711yescharacteristic
824C2×C4#40011yescharacteristic
825C2×C4#40011yescharacteristic
826C2×C4#40011yescharacteristic
827C2×C4#40011yescharacteristic
828C2×C4#40011yescharacteristic
829C2×C4#40011yescharacteristic
830C2×C4#40011yescharacteristic
831C2×C4#40011yescharacteristic
832C2×C4#40011yescharacteristic
833C2×C4#40011yescharacteristic
834C2×C4#40011yescharacteristic
835C2×C4#40011yescharacteristic
836C2×C4#40011yescharacteristic
837C2×C4#40011yescharacteristic
838C2×C4#40011yescharacteristic
839C2×C4#40011yescharacteristic
840C2×C4#40111yescharacteristic
841C2×C4#40111yescharacteristic
842C2×C4#40111yescharacteristic
843C2×C4#40111yescharacteristic
844C2×C4C2×#11711yescharacteristic
845C2×C4C2×#11711yescharacteristic
846C2×C4C2×#11711yescharacteristic
847C2×C4C2×C4×D411yescharacteristic
848C2×C4C2×C4×D411yescharacteristic
849C2×C4C2×C4×Q811yescharacteristic
850C2×C4C2×#12111yescharacteristic
851C2×C4C2×#12111yescharacteristic
852C2×C4C2×#12111yescharacteristic
853C2×C4C2×C22⋊Q811yescharacteristic
854C2×C4C2×C22⋊Q811yescharacteristic
855C2×C4C2×C22⋊Q811yescharacteristic
856C2×C4C2×#12311yescharacteristic
857C2×C4C2×#12311yescharacteristic
858C2×C4C2×#12311yescharacteristic
859C2×C4C2×#12311yescharacteristic
860C2×C4C2×#12311yescharacteristic
861C2×C4C2×#12411yescharacteristic
862C2×C4C2×#12411yescharacteristic
863C2×C4C2×#12511yescharacteristic
864C2×C4C2×#12511yescharacteristic
865C2×C4C2×#12611yescharacteristic
866C2×C4C2×#12611yescharacteristic
867C2×C4C2×#12611yescharacteristic
868C2×C4C2×#12611yescharacteristic
869C2×C4C2×#12611yescharacteristic
870C2×C4C2×#12611yescharacteristic
871C2×C4C2×#12611yescharacteristic
872C8—44no—
873C8—44no—
874C8—44no—
875C8—44no—
876C22—22no—
877C22—22no—
878C22—22no—
879C22—22no—
880C22—22no—
881C22—22no—
882C22—22no—
883C22—41no—
884C22—41no—
885C22—41no—
886C22—41no—
887C22—41no—
888C22—41no—
889C22—41no—
890C22—41no—
891C22—41no—
892C22—41no—
893C22—41no—
894C22—41no—
895C22—41no—
896C22—41no—
897C22—41no—
898C22—41no—
899C22—41no—
900C22—41no—
901C22—41no—
902C22—41no—
903C22—41no—
904C22—41no—
905C22—41no—
906C22—41no—
907C22—41no—
908C22—41no—
909C22—41no—
910C22—41no—
911C22#144311yescharacteristic
912C22#144311yescharacteristic
913C22#144311yescharacteristic
914C22#144311yescharacteristic
915C22#144311yescharacteristic
916C22#144311yescharacteristic
917C22#144311yescharacteristic
918C22#144311yescharacteristic
919C22C2×#38711yescharacteristic
920C22C2×#38811yescharacteristic
921C22C2×#38811yescharacteristic
922C22C2×#39711yescharacteristic
923C22C2×#40011yescharacteristic
924C22C2×#40011yescharacteristic
925C22C2×#40111yescharacteristic
926C4—84no—
927C4—84no—
928C4—84no—
929C4#144311yescharacteristic
930C4#144311yescharacteristic
931C4#144311yescharacteristic
932C4#144311yescharacteristic
933C4#144311yescharacteristic
934C4#144311yescharacteristic
935C4#144311yescharacteristic
936C4#144311yescharacteristic
937C4C2×#38311yescharacteristic
938C4C2×#38711yescharacteristic
939C4C2×#38711yescharacteristic
940C4C2×#38811yescharacteristic
941C4C2×#39611yescharacteristic
942C4C2×#39711yescharacteristic
943C4C2×#39711yescharacteristic
944C4C2×#40011yescharacteristic
945C2—21no—
946C2—21no—
947C2—21no—
948C2—21no—
949C2—21no—
950C2—21no—
951C2—21no—
952C2—21no—
953C2—21no—
954C2—21no—
955C2—21no—
956C2—21no—
957C2—21no—
958C2—21no—
959C2#1131012yesdirect product factor
960C2C2×#144311yescharacteristic
subgroupG/H
centerC2×C4#387
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
socleC22#1443
prime radicalC25#41
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4 ◁ C24×C4 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
8. #11310C2direct (N × H)
26. #1733C4semidirect
30. C2×#339C4semidirect
147. #339C2×C4semidirect
959. C2#11310direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#3442
C2×#17422
C2×#17332
C22×#3382
C22×H(3,ℤ/4)2
#113102