Finite Group Databasebeta

← C2×#11279 #358292

Subgroups — C2×#11279 #358292

Order 512.

2554 conjugacy classes of subgroups.

The subgroup lattice has 978 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2315C211yesmaximal, characteristic
2C22×#342C211yesmaximal, characteristic
3C22×#342C211yesmaximal, characteristic
4C22×#342C211yesmaximal, characteristic
5C22×#342C211yesmaximal, characteristic
6C22×#342C211yesmaximal, characteristic
7C22×#342C211yesmaximal, characteristic
8#11279C218yesmaximal, direct product factor
9C23×C22⋊C4C2211yescharacteristic
10C23×C22⋊C4C2211yescharacteristic
11C23×C22⋊C4C2211yescharacteristic
12C23×C22⋊C4C2211yescharacteristic
13C23×C22⋊C4C2211yescharacteristic
14C23×C22⋊C4C2211yescharacteristic
15C23×C22⋊C4C2211yescharacteristic
16#2315—22no—
17#2315—22no—
18#2315—22no—
19#2315C2214yes—
20C2×#385—22no—
21C2×#385—22no—
22C2×#380—22no—
23C2×#342—24no—
24C2×#342—22no—
25C2×#342—22no—
26C2×#342—24no—
27C2×#342—22no—
28C2×#342—22no—
29C2×#342—22no—
30C2×#342—22no—
31C2×#342C418yescomplemented
32C2×#342C2214yes—
33C2×#342C2214yes—
34C2×#342C2214yes—
35C2×#342C2214yes—
36C2×#342C2214yes—
37C2×#342C2214yes—
38C26C2311yescharacteristic
39C24×C4—21no—
40C24×C4—21no—
41C24×C4—21no—
42C24×C4—21no—
43C24×C4—21no—
44C24×C4—21no—
45C24×C4Q812yes—
46C22×C4⋊C4—24no—
47C22×C22⋊C4—21no—
48C22×C22⋊C4—21no—
49C22×C22⋊C4—21no—
50C22×C22⋊C4—22no—
51C22×C22⋊C4—22no—
52C22×C22⋊C4—22no—
53C22×C22⋊C4—21no—
54C22×C22⋊C4—21no—
55C22×C22⋊C4—21no—
56C22×C22⋊C4—21no—
57C22×C22⋊C4—22no—
58C22×C22⋊C4—22no—
59C22×C22⋊C4—21no—
60C22×C22⋊C4—21no—
61C22×C22⋊C4—22no—
62C22×C22⋊C4—21no—
63C22×C22⋊C4—21no—
64C22×C22⋊C4—22no—
65C22×C22⋊C4—22no—
66C22×C22⋊C4—21no—
67C22×C22⋊C4—21no—
68C22×C22⋊C4—22no—
69C22×C22⋊C4—22no—
70C22×C22⋊C4—22no—
71C22×C22⋊C4—22no—
72C22×C22⋊C4—22no—
73C22×C22⋊C4—22no—
74C22×C22⋊C4—22no—
75C22×C22⋊C4—22no—
76C22×C22⋊C4—21no—
77C22×C22⋊C4—21no—
78C22×C22⋊C4—21no—
79C22×C22⋊C4—21no—
80C22×C22⋊C4—21no—
81C22×C22⋊C4—21no—
82C22×C22⋊C4—22no—
83C22×C22⋊C4—21no—
84C22×C22⋊C4—21no—
85C22×C22⋊C4—21no—
86C22×C22⋊C4—21no—
87C22×C22⋊C4—21no—
88C22×C22⋊C4—21no—
89C22×C22⋊C4—21no—
90C22×C22⋊C4—21no—
91C22×C22⋊C4—21no—
92C22×C22⋊C4—22no—
93C22×C22⋊C4—21no—
94C22×C22⋊C4—21no—
95C22×C22⋊C4—21no—
96C22×C22⋊C4—21no—
97C22×C22⋊C4—21no—
98C22×C22⋊C4—21no—
99C22×C22⋊C4—21no—
100C22×C22⋊C4—21no—
101C22×C22⋊C4—22no—
102C22×C22⋊C4C2×C414yes—
103C22×C22⋊C4C2×C414yes—
104C22×C22⋊C4C2×C414yes—
105C22×C22⋊C4D412yes—
106C22×C22⋊C4D412yes—
107C22×C22⋊C4D414yes—
108C22×C22⋊C4D412yes—
109C22×C22⋊C4D412yes—
110C22×C22⋊C4D412yes—
111C22×C22⋊C4D412yes—
112C22×C22⋊C4Q812yes—
113C22×C22⋊C4Q814yes—
114C22×C22⋊C4C2312yes—
115C22×C22⋊C4C2312yes—
116C22×C22⋊C4C2312yes—
117C22×C22⋊C4C2312yes—
118C22×C22⋊C4C2312yes—
119C22×C22⋊C4C2312yes—
120C22×C22⋊C4C2312yes—
121#385—28no—
122#385—28no—
123#385—28no—
124#385—28no—
125#380—28no—
126#380—28no—
127C2×#95—24no—
128#342—28no—
129#342—28no—
130#342—28no—
131#342—28no—
132#342—28no—
133#342C2×C4116yescomplemented
134C25—84no—
135C25C22×C412yes—
136C25C2×D411yescharacteristic
137C25C2×D411yescharacteristic
138C25C2×D411yescharacteristic
139C25C2×D411yescharacteristic
140C25C2×D411yescharacteristic
141C25C2×D411yescharacteristic
142C25C2×D412yes—
143C25C2×Q811yescharacteristic
144C25C2×Q812yes—
145C25C2×Q811yescharacteristic
146C25#4111yescharacteristic
147C25#4111yescharacteristic
148C25#4111yescharacteristic
149C25#4112yes—
150C25#4112yes—
151C25#4111yescharacteristic
152C25#4111yescharacteristic
153C25#4112yes—
154C25#4112yes—
155C25#4111yescharacteristic
156C25#4112yes—
157C25C2411yescharacteristic
158C23×C4—22no—
159C23×C4—24no—
160C23×C4—22no—
161C23×C4—24no—
162C23×C4—22no—
163C23×C4—22no—
164C23×C4—22no—
165C23×C4—24no—
166C23×C4—24no—
167C23×C4—22no—
168C23×C4—22no—
169C23×C4—22no—
170C23×C4—22no—
171C23×C4—22no—
172C23×C4—22no—
173C23×C4—22no—
174C23×C4—22no—
175C23×C4—24no—
176C23×C4—22no—
177C23×C4—22no—
178C23×C4—22no—
179C23×C4—22no—
180C23×C4—22no—
181C23×C4—42no—
182C23×C4—42no—
183C23×C4—42no—
184C23×C4—42no—
185C23×C4—41no—
186C23×C4—41no—
187C23×C4—41no—
188C23×C4—41no—
189C23×C4—42no—
190C23×C4—41no—
191C23×C4—41no—
192C23×C4—42no—
193C23×C4—42no—
194C23×C4—84no—
195C23×C4—84no—
196C23×C4—84no—
197C23×C4—84no—
198C23×C4—84no—
199C23×C4—84no—
200C23×C4—84no—
201C23×C4C2×Q814yes—
202C2×C4⋊C4—216no—
203C2×C4⋊C4—88no—
204C2×C22⋊C4—24no—
205C2×C22⋊C4—24no—
206C2×C22⋊C4—24no—
207C2×C22⋊C4—22no—
208C2×C22⋊C4—22no—
209C2×C22⋊C4—24no—
210C2×C22⋊C4—24no—
211C2×C22⋊C4—24no—
212C2×C22⋊C4—24no—
213C2×C22⋊C4—24no—
214C2×C22⋊C4—22no—
215C2×C22⋊C4—22no—
216C2×C22⋊C4—22no—
217C2×C22⋊C4—24no—
218C2×C22⋊C4—24no—
219C2×C22⋊C4—24no—
220C2×C22⋊C4—24no—
221C2×C22⋊C4—24no—
222C2×C22⋊C4—24no—
223C2×C22⋊C4—24no—
224C2×C22⋊C4—24no—
225C2×C22⋊C4—24no—
226C2×C22⋊C4—24no—
227C2×C22⋊C4—24no—
228C2×C22⋊C4—24no—
229C2×C22⋊C4—24no—
230C2×C22⋊C4—24no—
231C2×C22⋊C4—24no—
232C2×C22⋊C4—24no—
233C2×C22⋊C4—24no—
234C2×C22⋊C4—24no—
235C2×C22⋊C4—24no—
236C2×C22⋊C4—24no—
237C2×C22⋊C4—22no—
238C2×C22⋊C4—22no—
239C2×C22⋊C4—22no—
240C2×C22⋊C4—22no—
241C2×C22⋊C4—22no—
242C2×C22⋊C4—22no—
243C2×C22⋊C4—22no—
244C2×C22⋊C4—22no—
245C2×C22⋊C4—22no—
246C2×C22⋊C4—22no—
247C2×C22⋊C4—22no—
248C2×C22⋊C4—22no—
249C2×C22⋊C4—22no—
250C2×C22⋊C4—22no—
251C2×C22⋊C4—22no—
252C2×C22⋊C4—22no—
253C2×C22⋊C4—22no—
254C2×C22⋊C4—22no—
255C2×C22⋊C4—22no—
256C2×C22⋊C4—22no—
257C2×C22⋊C4—24no—
258C2×C22⋊C4—24no—
259C2×C22⋊C4—22no—
260C2×C22⋊C4—22no—
261C2×C22⋊C4—22no—
262C2×C22⋊C4—22no—
263C2×C22⋊C4—22no—
264C2×C22⋊C4—22no—
265C2×C22⋊C4—22no—
266C2×C22⋊C4—22no—
267C2×C22⋊C4—22no—
268C2×C22⋊C4—22no—
269C2×C22⋊C4—24no—
270C2×C22⋊C4—22no—
271C2×C22⋊C4—22no—
272C2×C22⋊C4—22no—
273C2×C22⋊C4—22no—
274C2×C22⋊C4—22no—
275C2×C22⋊C4—22no—
276C2×C22⋊C4—22no—
277C2×C22⋊C4—22no—
278C2×C22⋊C4—22no—
279C2×C22⋊C4—22no—
280C2×C22⋊C4—22no—
281C2×C22⋊C4—41no—
282C2×C22⋊C4—41no—
283C2×C22⋊C4—41no—
284C2×C22⋊C4—41no—
285C2×C22⋊C4—42no—
286C2×C22⋊C4—42no—
287C2×C22⋊C4—42no—
288C2×C22⋊C4—42no—
289C2×C22⋊C4—42no—
290C2×C22⋊C4—42no—
291C2×C22⋊C4—42no—
292C2×C22⋊C4—42no—
293C2×C22⋊C4—42no—
294C2×C22⋊C4—42no—
295C2×C22⋊C4—42no—
296C2×C22⋊C4—42no—
297C2×C22⋊C4—42no—
298C2×C22⋊C4—42no—
299C2×C22⋊C4—42no—
300C2×C22⋊C4—42no—
301C2×C22⋊C4—42no—
302C2×C22⋊C4—42no—
303C2×C22⋊C4—41no—
304C2×C22⋊C4—41no—
305C2×C22⋊C4—41no—
306C2×C22⋊C4—41no—
307C2×C22⋊C4—41no—
308C2×C22⋊C4—41no—
309C2×C22⋊C4—41no—
310C2×C22⋊C4—41no—
311C2×C22⋊C4—41no—
312C2×C22⋊C4—41no—
313C2×C22⋊C4—41no—
314C2×C22⋊C4—41no—
315C2×C22⋊C4—42no—
316C2×C22⋊C4—42no—
317C2×C22⋊C4—41no—
318C2×C22⋊C4—41no—
319C2×C22⋊C4—41no—
320C2×C22⋊C4—41no—
321C2×C22⋊C4—42no—
322C2×C22⋊C4—41no—
323C2×C22⋊C4—41no—
324C2×C22⋊C4—42no—
325C2×C22⋊C4—42no—
326C2×C22⋊C4—42no—
327C2×C22⋊C4—42no—
328C2×C22⋊C4—42no—
329C2×C22⋊C4—42no—
330C2×C22⋊C4C4⋊C418yes—
331C2×C22⋊C4C4⋊C418yes—
332C2×C22⋊C4C22×C414yes—
333C2×C22⋊C4C22×C414yes—
334C2×C22⋊C4C22×C414yes—
335C2×C22⋊C4C2×D414yes—
336C2×C22⋊C4C2×D414yes—
337C2×C22⋊C4C2×D414yes—
338C2×C22⋊C4C2×D414yes—
339C2×C22⋊C4C2×Q814yes—
340#95—216no—
341C24—44no—
342C24—44no—
343C24—44no—
344C24—44no—
345C24—44no—
346C24—44no—
347C24—44no—
348C24—84no—
349C24—84no—
350C24—82no—
351C24—82no—
352C24—82no—
353C24—84no—
354C24—82no—
355C24—84no—
356C24—84no—
357C24—84no—
358C24—84no—
359C24—84no—
360C24—82no—
361C24—82no—
362C24—82no—
363C24—82no—
364C24C2×C4⋊C412yes—
365C24C2×C4⋊C412yes—
366C24#11712yes—
367C24#11712yes—
368C24#11712yes—
369C24#11712yes—
370C24C4×D412yes—
371C24C4×D412yes—
372C24C4×D412yes—
373C24C4×D412yes—
374C24C4×D412yes—
375C24C4×D412yes—
376C24C4×Q812yes—
377C24C4×Q812yes—
378C24#12011yescharacteristic
379C24#12011yescharacteristic
380C24#12011yescharacteristic
381C24#12011yescharacteristic
382C24#12112yes—
383C24#12112yes—
384C24#12112yes—
385C24#12112yes—
386C24#12112yes—
387C24#12112yes—
388C24C22⋊Q811yescharacteristic
389C24C22⋊Q811yescharacteristic
390C24C22⋊Q811yescharacteristic
391C24C22⋊Q812yes—
392C24C22⋊Q812yes—
393C24C22⋊Q811yescharacteristic
394C24C22⋊Q811yescharacteristic
395C24C22⋊Q811yescharacteristic
396C24C22⋊Q811yescharacteristic
397C24C22⋊Q811yescharacteristic
398C24C22⋊Q811yescharacteristic
399C24C22⋊Q811yescharacteristic
400C24C22⋊Q811yescharacteristic
401C24C22⋊Q811yescharacteristic
402C24C22⋊Q812yes—
403C24C22⋊Q812yes—
404C24#12312yes—
405C24#12312yes—
406C24#12312yes—
407C24#12312yes—
408C24#12312yes—
409C24#12312yes—
410C24#12312yes—
411C24#12312yes—
412C24#12312yes—
413C24#12312yes—
414C24#12411yescharacteristic
415C24#12411yescharacteristic
416C24#12411yescharacteristic
417C24#12411yescharacteristic
418C24#12411yescharacteristic
419C24#12411yescharacteristic
420C24#12412yes—
421C24#12411yescharacteristic
422C24#12411yescharacteristic
423C24#12411yescharacteristic
424C24#12411yescharacteristic
425C24#12411yescharacteristic
426C24#12411yescharacteristic
427C24#12412yes—
428C24#12512yes—
429C24#12512yes—
430C24#12512yes—
431C24#12512yes—
432C24#12512yes—
433C24#12512yes—
434C24#12512yes—
435C24#12512yes—
436C24#12512yes—
437C24#12512yes—
438C24#12612yes—
439C24#12612yes—
440C24#12612yes—
441C24#12612yes—
442C24#12612yes—
443C24#12612yes—
444C24#12612yes—
445C24#12612yes—
446C24C4⋊Q812yes—
447C24C4⋊Q812yes—
448C24C23×C411yescharacteristic
449C24C22×D411yescharacteristic
450C24C22×D411yescharacteristic
451C24C22×D411yescharacteristic
452C24C22×D411yescharacteristic
453C24C22×Q811yescharacteristic
454C24C22×Q811yescharacteristic
455C24C2×#4111yescharacteristic
456C24C2×#4111yescharacteristic
457C24C2×#4111yescharacteristic
458C24C2×#4111yescharacteristic
459C24C2×#4111yescharacteristic
460C24C2×#4111yescharacteristic
461C24C2×#4111yescharacteristic
462C24C2×#4111yescharacteristic
463C22×C4—24no—
464C22×C4—28no—
465C22×C4—24no—
466C22×C4—24no—
467C22×C4—28no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—48no—
477C22×C4—48no—
478C22×C4—48no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—44no—
490C22×C4—44no—
491C22×C4—44no—
492C22×C4—44no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—44no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—84no—
504C22×C4—84no—
505C22×C4—88no—
506C22×C4—88no—
507C22×C4—84no—
508C22×C4—84no—
509C22×C4—84no—
510C22×C4—84no—
511C22×C4—84no—
512C22×C4—84no—
513C22×C4—84no—
514C22×C4—88no—
515C22×C4—88no—
516C22×C4—88no—
517C22×C4—88no—
518C22×C4—88no—
519C22×C4—84no—
520C22×C4—84no—
521C22×C4—84no—
522C22×C4—88no—
523C22×C4—88no—
524C22×C4—84no—
525C22×C4—84no—
526C22×C4—84no—
527C22×C4—84no—
528C22×C4—84no—
529C22×C4—84no—
530C22×C4—88no—
531C22×C4—88no—
532C22×C4—88no—
533C22×C4—84no—
534C22×C4—84no—
535C22×C4—84no—
536C22×C4—84no—
537C4⋊C4—816no—
538C22⋊C4—24no—
539C22⋊C4—24no—
540C22⋊C4—24no—
541C22⋊C4—28no—
542C22⋊C4—28no—
543C22⋊C4—24no—
544C22⋊C4—24no—
545C22⋊C4—24no—
546C22⋊C4—24no—
547C22⋊C4—24no—
548C22⋊C4—24no—
549C22⋊C4—24no—
550C22⋊C4—24no—
551C22⋊C4—24no—
552C22⋊C4—24no—
553C22⋊C4—42no—
554C22⋊C4—42no—
555C22⋊C4—42no—
556C22⋊C4—42no—
557C22⋊C4—42no—
558C22⋊C4—42no—
559C22⋊C4—42no—
560C22⋊C4—42no—
561C22⋊C4—42no—
562C22⋊C4—42no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—42no—
566C22⋊C4—42no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C22⋊C4—42no—
572C22⋊C4—42no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—44no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4C2×C4⋊C418yes—
582C23—24no—
583C23—24no—
584C23—24no—
585C23—24no—
586C23—24no—
587C23—24no—
588C23—24no—
589C23—44no—
590C23—44no—
591C23—44no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—44no—
596C23—44no—
597C23—44no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—44no—
602C23—44no—
603C23—44no—
604C23—44no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—44no—
609C23—44no—
610C23—42no—
611C23—42no—
612C23—42no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—44no—
618C23—44no—
619C23—44no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—44no—
630C23—44no—
631C23—42no—
632C23—42no—
633C23—42no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—44no—
638C23—44no—
639C23—44no—
640C23—44no—
641C23—44no—
642C23—44no—
643C23—44no—
644C23—44no—
645C23—82no—
646C23—82no—
647C23—82no—
648C23—82no—
649C23—82no—
650C23—82no—
651C23—82no—
652C23—82no—
653C23—82no—
654C23—82no—
655C23—82no—
656C23—82no—
657C23—82no—
658C23—82no—
659C23—82no—
660C23—82no—
661C23—82no—
662C23—82no—
663C23—82no—
664C23—82no—
665C23—82no—
666C23—82no—
667C23—82no—
668C23—82no—
669C23—82no—
670C23—82no—
671C23—82no—
672C23—82no—
673C23—81no—
674C23—81no—
675C23—81no—
676C23—81no—
677C23—81no—
678C23—81no—
679C23—81no—
680C23—81no—
681C23#38212yes—
682C23#38212yes—
683C23#38212yes—
684C23#38212yes—
685C23#38512yes—
686C23#38512yes—
687C23#38512yes—
688C23#38512yes—
689C23#38712yes—
690C23#38712yes—
691C23#38712yes—
692C23#38712yes—
693C23#38712yes—
694C23#38712yes—
695C23#38712yes—
696C23#38712yes—
697C23#38812yes—
698C23#38812yes—
699C23#38812yes—
700C23#38812yes—
701C23#38812yes—
702C23#38812yes—
703C23#38812yes—
704C23#38812yes—
705C23#38912yes—
706C23#38912yes—
707C23#38912yes—
708C23#38912yes—
709C23#39311yescharacteristic
710C23#39311yescharacteristic
711C23#39311yescharacteristic
712C23#39311yescharacteristic
713C23#39311yescharacteristic
714C23#39311yescharacteristic
715C23#39311yescharacteristic
716C23#39311yescharacteristic
717C23#39412yes—
718C23#39412yes—
719C23#39412yes—
720C23#39412yes—
721C23#39712yes—
722C23#39712yes—
723C23#39712yes—
724C23#39712yes—
725C23#39812yes—
726C23#39812yes—
727C23#39812yes—
728C23#39812yes—
729C23#39812yes—
730C23#39812yes—
731C23#39812yes—
732C23#39812yes—
733C23#40012yes—
734C23#40012yes—
735C23#40012yes—
736C23#40012yes—
737C23#40012yes—
738C23#40012yes—
739C23#40012yes—
740C23#40012yes—
741C23#40012yes—
742C23#40012yes—
743C23#40012yes—
744C23#40012yes—
745C23C22×C4⋊C411yescharacteristic
746C23C2×#11711yescharacteristic
747C23C2×#11711yescharacteristic
748C23C2×C4×D411yescharacteristic
749C23C2×C4×D411yescharacteristic
750C23C2×C4×D411yescharacteristic
751C23C2×C4×Q811yescharacteristic
752C23C2×#12011yescharacteristic
753C23C2×#12111yescharacteristic
754C23C2×#12111yescharacteristic
755C23C2×#12111yescharacteristic
756C23C2×C22⋊Q811yescharacteristic
757C23C2×C22⋊Q811yescharacteristic
758C23C2×C22⋊Q811yescharacteristic
759C23C2×C22⋊Q811yescharacteristic
760C23C2×C22⋊Q811yescharacteristic
761C23C2×#12311yescharacteristic
762C23C2×#12311yescharacteristic
763C23C2×#12311yescharacteristic
764C23C2×#12311yescharacteristic
765C23C2×#12311yescharacteristic
766C23C2×#12411yescharacteristic
767C23C2×#12411yescharacteristic
768C23C2×#12411yescharacteristic
769C23C2×#12411yescharacteristic
770C23C2×#12511yescharacteristic
771C23C2×#12511yescharacteristic
772C23C2×#12511yescharacteristic
773C23C2×#12511yescharacteristic
774C23C2×#12511yescharacteristic
775C23C2×#12611yescharacteristic
776C23C2×#12611yescharacteristic
777C23C2×#12611yescharacteristic
778C23C2×#12611yescharacteristic
779C23C2×C4⋊Q811yescharacteristic
780C2×C4—28no—
781C2×C4—48no—
782C2×C4—416no—
783C2×C4—48no—
784C2×C4—48no—
785C2×C4—44no—
786C2×C4—44no—
787C2×C4—44no—
788C2×C4—44no—
789C2×C4—44no—
790C2×C4—44no—
791C2×C4—84no—
792C2×C4—84no—
793C2×C4—88no—
794C2×C4—88no—
795C2×C4—88no—
796C2×C4—88no—
797C2×C4—88no—
798C2×C4—88no—
799C2×C4—84no—
800C2×C4—84no—
801C2×C4—84no—
802C2×C4—84no—
803C2×C4—84no—
804C2×C4—84no—
805C2×C4—84no—
806C2×C4—84no—
807C2×C4—84no—
808C2×C4—84no—
809C2×C4—88no—
810C2×C4—88no—
811C2×C4—84no—
812C2×C4—84no—
813C2×C4—84no—
814C2×C4—88no—
815C2×C4—88no—
816C2×C4—88no—
817C2×C4—84no—
818C2×C4—84no—
819C2×C4—84no—
820C2×C4—84no—
821C2×C4—84no—
822C2×C4—84no—
823C2×C4—84no—
824C22—24no—
825C22—24no—
826C22—24no—
827C22—24no—
828C22—24no—
829C22—24no—
830C22—24no—
831C22—24no—
832C22—24no—
833C22—24no—
834C22—24no—
835C22—24no—
836C22—24no—
837C22—24no—
838C22—22no—
839C22—22no—
840C22—22no—
841C22—22no—
842C22—22no—
843C22—22no—
844C22—22no—
845C22—22no—
846C22—22no—
847C22—22no—
848C22—22no—
849C22—22no—
850C22—22no—
851C22—22no—
852C22—41no—
853C22—41no—
854C22—41no—
855C22—41no—
856C22—41no—
857C22—41no—
858C22—41no—
859C22—41no—
860C22—41no—
861C22—41no—
862C22—41no—
863C22—41no—
864C22—42no—
865C22—42no—
866C22—42no—
867C22—42no—
868C22—42no—
869C22—42no—
870C22—41no—
871C22—41no—
872C22—41no—
873C22—41no—
874C22—41no—
875C22—41no—
876C22—41no—
877C22—41no—
878C22—41no—
879C22—41no—
880C22—41no—
881C22—41no—
882C22—41no—
883C22—41no—
884C22—41no—
885C22—41no—
886C22—42no—
887C22—42no—
888C22—42no—
889C22—42no—
890C22—42no—
891C22—42no—
892C22—42no—
893C22—42no—
894C22—42no—
895C22—42no—
896C22—42no—
897C22—42no—
898C22—42no—
899C22—42no—
900C22—42no—
901C22—42no—
902C22—42no—
903C22—42no—
904C22—42no—
905C22—42no—
906C22—42no—
907C22—42no—
908C22—42no—
909C22—42no—
910C22—42no—
911C22—42no—
912C22—42no—
913C22—42no—
914C22—42no—
915C22—42no—
916C22—42no—
917C22—42no—
918C22—42no—
919C22—42no—
920C22—42no—
921C22—42no—
922C22#144212yes—
923C22#144212yes—
924C22#144212yes—
925C22#144212yes—
926C22#144212yes—
927C22#144212yes—
928C22#144212yes—
929C22#144212yes—
930C22#203214yes—
931C22C2×#38211yescharacteristic
932C22C2×#38511yescharacteristic
933C22C2×#38711yescharacteristic
934C22C2×#38711yescharacteristic
935C22C2×#38811yescharacteristic
936C22C2×#38811yescharacteristic
937C22C2×#38911yescharacteristic
938C22C2×#39311yescharacteristic
939C22C2×#39411yescharacteristic
940C22C2×#39711yescharacteristic
941C22C2×#39811yescharacteristic
942C22C2×#39811yescharacteristic
943C22C2×#40011yescharacteristic
944C22C2×#40011yescharacteristic
945C22C2×#40011yescharacteristic
946C4—48no—
947C4—84no—
948C4—84no—
949C4—84no—
950C4—84no—
951C4—84no—
952C4—84no—
953C2—21no—
954C2—21no—
955C2—21no—
956C2—21no—
957C2—21no—
958C2—21no—
959C2—21no—
960C2—21no—
961C2—21no—
962C2—21no—
963C2—22no—
964C2—22no—
965C2—22no—
966C2—22no—
967C2—22no—
968C2—22no—
969C2—22no—
970C2—21no—
971C2—21no—
972C2—21no—
973C2—21no—
974C2#1127914yesdirect product factor
975C2C2×#144211yescharacteristic
976C2C2×#203212yes—
subgroupG/H
center, socleC23#393
commutatorC24C23×C4
Frattini, cosocleC25C24
prime radicalC26C23
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C26 ◁ G
LECSG ▷ C25 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
8. #11279C2direct (N × H)
31. C2×#342C4semidirect
133. #342C2×C4semidirect
974. C2#11279direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#23152
C22×#3422
#112792