Finite Group Databasebeta

← #6344046

Subgroups — #6344046

Order 512.

3350 conjugacy classes of subgroups.

The subgroup lattice has 1440 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3444C211yesmaximal, characteristic
2C2×#2920C211yesmaximal, characteristic, complemented
3C22×#423C211yesmaximal, characteristic, complemented
4#17753C214yesmaximal, complemented
5#17752C214yesmaximal, complemented
6#17751C212yesmaximal, complemented
7#17750C212yesmaximal, complemented
8#17749C212yesmaximal, complemented
9#17745C212yesmaximal, complemented
10#17737C214yesmaximal, complemented
11#17719C214yesmaximal, complemented
12#17708C212yesmaximal, complemented
13#17704C212yesmaximal, complemented
14C23×M16—21no—
15#3444—21no—
16#3444—21no—
17#3444—21no—
18#3444—21no—
19#3444—21no—
20#3444—21no—
21#3444—21no—
22#3444—21no—
23#3444C412yes—
24#3444C412yes—
25#3444C412yes—
26#3444C412yes—
27#3444C2212yes—
28#3444C2212yes—
29#3444C2212yes—
30#3444C2212yes—
31C2×#533C2211yescharacteristic
32C2×#533C2211yescharacteristic
33C2×#533C2211yescharacteristic
34C2×#532C2211yescharacteristic
35C2×#532C2211yescharacteristic
36C2×#532C2211yescharacteristic
37C2×#529—21no—
38C2×#529—21no—
39C2×#529—21no—
40C2×#529—21no—
41C2×#529C412yes—
42C2×#529C412yes—
43C2×#525—21no—
44C2×#525—21no—
45C2×#525C412yes—
46C2×C4×#41—21no—
47C2×C4×#41—21no—
48C2×C4×#41C412yes—
49C23×C42C2211yescharacteristic
50#2920—21no—
51#2920—21no—
52#2920—21no—
53#2920—21no—
54#2920C2212yes—
55#2920C2212yes—
56#2920C2212yescomplemented
57#2920C2212yescomplemented
58C2×#432—21no—
59C2×#432C2212yescomplemented
60C2×#431—21no—
61C2×#431C2212yes—
62C2×#423—21no—
63C2×#423—21no—
64C2×#423—21no—
65C2×#423—21no—
66C2×#423—21no—
67C2×#423—21no—
68C2×#423C2212yes—
69C2×#423C2212yes—
70C2×#423C2212yes—
71C2×#423C2212yescomplemented
72C2×#423C2212yescomplemented
73C2×#423C2212yescomplemented
74C2×#423C2212yescomplemented
75C22×C4⋊C8—21no—
76C22×C4⋊C8C2212yescomplemented
77C2×#407—21no—
78C2×C4×M16—21no—
79#1561C2218yescomplemented
80#1560C2218yescomplemented
81#1559C2218yescomplemented
82#1557C2218yescomplemented
83#1552C2218yescomplemented
84#1551C2218yescomplemented
85#1550C2218yescomplemented
86#1550C2218yescomplemented
87#1549C2214yescomplemented
88#1548C2214yescomplemented
89#1547C2218yescomplemented
90#1547C2218yescomplemented
91#1546C2214yescomplemented
92#1545C2214yescomplemented
93#1542C2218yescomplemented
94#1540C2218yescomplemented
95C22×#41—21no—
96C22×#41—21no—
97C22×#41C2×C412yes—
98C24×C4C2×C411yescharacteristic
99C24×C4D411yescharacteristic
100C24×C4D411yescharacteristic
101C22×M16—22no—
102C22×M16—22no—
103C22×M16—22no—
104C22×M16—22no—
105C22×M16—22no—
106C22×M16—22no—
107C22×M16—22no—
108C22×M16—48no—
109C23×C8—22no—
110#533—21no—
111#533—21no—
112#533—21no—
113#533—21no—
114#533—21no—
115#533—21no—
116#533—21no—
117#533—21no—
118#533—21no—
119#533—21no—
120#533—21no—
121#533—21no—
122#533C2×C412yes—
123#533C2×C412yes—
124#533C2×C412yes—
125#533C2×C412yes—
126#533C2×C412yes—
127#533C2×C412yes—
128#533C2312yes—
129#533C2312yes—
130#533C2312yes—
131#533C2312yes—
132#533C2312yes—
133#533C2312yes—
134#532—21no—
135#532—21no—
136#532—21no—
137#532—21no—
138#532—21no—
139#532—21no—
140#532—21no—
141#532—21no—
142#532—21no—
143#532—21no—
144#532—21no—
145#532—21no—
146#532C2×C412yes—
147#532C2×C412yes—
148#532C2×C412yes—
149#532C2×C412yes—
150#532C2×C412yes—
151#532C2×C412yes—
152#532C2312yes—
153#532C2312yes—
154#532C2312yes—
155#532C2312yes—
156#532C2312yes—
157#532C2312yes—
158C2×C4⋊Q8C2311yescharacteristic
159C2×C4⋊Q8C2311yescharacteristic
160C2×C4⋊Q8C2311yescharacteristic
161C2×#127C2311yescharacteristic
162#529—22no—
163#529—22no—
164#529—22no—
165#529—22no—
166#529—22no—
167#529—22no—
168#529—22no—
169#529—22no—
170#529—22no—
171#529—22no—
172#529—22no—
173#529—22no—
174#529—22no—
175#529—22no—
176#529—22no—
177#529—22no—
178#529—22no—
179#529—22no—
180#529—22no—
181#529—22no—
182#529—22no—
183#529—22no—
184#529—22no—
185#529—22no—
186#529—22no—
187#529—22no—
188#529—22no—
189#529—22no—
190#529—22no—
191#529—22no—
192#529—22no—
193#529—22no—
194#529—22no—
195#529—22no—
196#529—22no—
197#529—22no—
198#529—22no—
199#529—22no—
200#529—22no—
201#529—22no—
202#529C2×C414yes—
203#529C2×C414yes—
204#529C2×C414yes—
205#529C2×C414yes—
206#529C2×C414yes—
207#529C2×C414yes—
208#529C2×C414yes—
209#529C2×C414yes—
210C2×#126—22no—
211C2×#126—22no—
212C2×#125—21no—
213C2×#125—21no—
214C2×#125C2×C412yes—
215C2×#124—21no—
216C2×#124—21no—
217C2×#124C2×C412yes—
218#525—22no—
219#525—22no—
220#525—22no—
221#525—22no—
222#525—22no—
223#525—22no—
224#525—22no—
225#525—22no—
226#525—22no—
227#525—22no—
228#525—22no—
229#525—22no—
230#525—22no—
231#525—22no—
232#525—22no—
233#525—22no—
234#525—22no—
235#525—22no—
236#525—22no—
237#525—22no—
238#525C2×C414yes—
239#525C2×C414yes—
240#525C2×C414yes—
241#525C2×C414yes—
242C2×#123—22no—
243C2×#123—22no—
244C2×#123—22no—
245C2×C22⋊Q8—21no—
246C2×C22⋊Q8—21no—
247C2×C22⋊Q8—21no—
248C2×C22⋊Q8—21no—
249C2×C22⋊Q8C2×C412yes—
250C2×C22⋊Q8C2×C412yes—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121C2×C412yes—
256C2×#121C2×C412yes—
257C2×#120—22no—
258C4×#41—22no—
259C4×#41—22no—
260C4×#41—22no—
261C4×#41—22no—
262C4×#41—22no—
263C4×#41—22no—
264C4×#41—22no—
265C4×#41—22no—
266C4×#41—22no—
267C4×#41—22no—
268C4×#41—22no—
269C4×#41—22no—
270C4×#41—22no—
271C4×#41—22no—
272C4×#41—22no—
273C4×#41—22no—
274C4×#41—22no—
275C4×#41—22no—
276C4×#41—22no—
277C4×#41—22no—
278C4×#41C2×C414yes—
279C4×#41C2×C414yes—
280C4×#41C2×C414yes—
281C4×#41C2×C414yes—
282C2×C4×Q8—21no—
283C2×C4×Q8—21no—
284C2×C4×Q8—21no—
285C2×C4×Q8—21no—
286C2×C4×Q8C2×C412yes—
287C2×C4×Q8C2×C412yes—
288C2×C4×D4—22no—
289C2×C4×D4—22no—
290C2×C4×D4—22no—
291C2×C4×D4—22no—
292C2×C4×D4—22no—
293C2×C4×D4—22no—
294C2×C4×D4—21no—
295C2×C4×D4—21no—
296C2×C4×D4—21no—
297C2×C4×D4—21no—
298C2×C4×D4C2×C412yes—
299C2×C4×D4C2×C412yes—
300C2×#117—21no—
301C2×#117—21no—
302C2×#117—22no—
303C2×#117—22no—
304C2×#117—22no—
305C2×#117C2×C412yes—
306C22×C42—22no—
307C22×C42C2×C411yescharacteristic
308C22×C42C2×C411yescharacteristic
309C22×C42C2×C411yescharacteristic
310C22×C42C2×C411yescharacteristic
311C22×C42C2×C411yescharacteristic
312C22×C42C2×C411yescharacteristic
313C22×C42C2×C411yescharacteristic
314C22×C42D411yescharacteristic
315C22×C42D411yescharacteristic
316C22×C42D411yescharacteristic
317C22×C42D411yescharacteristic
318C22×C42D411yescharacteristic
319C22×C42D411yescharacteristic
320C22×C42D411yescharacteristic
321C22×C42D411yescharacteristic
322C22×C42D411yescharacteristic
323C22×C42D411yescharacteristic
324C22×C42D411yescharacteristic
325C22×C42D411yescharacteristic
326C22×C42D411yescharacteristic
327C22×C42D411yescharacteristic
328C22×C42C2311yescharacteristic
329C22×C42C2311yescharacteristic
330C22×C42C2311yescharacteristic
331C22×C42C2311yescharacteristic
332C22×C42C2311yescharacteristic
333C22×C42C2311yescharacteristic
334C22×C42C2311yescharacteristic
335#432—22no—
336#432—22no—
337#432—22no—
338#432—22no—
339#432—22no—
340#432—22no—
341#432C2314yes—
342#432C2314yes—
343#431—22no—
344#431—22no—
345#431—22no—
346#431—22no—
347#431—22no—
348#431—22no—
349#431C2314yes—
350#431C2314yes—
351#423—22no—
352#423—22no—
353#423—22no—
354#423—22no—
355#423—22no—
356#423—22no—
357#423—22no—
358#423—22no—
359#423—22no—
360#423—22no—
361#423—22no—
362#423—22no—
363#423—22no—
364#423—22no—
365#423C2314yes—
366#423C2314yes—
367#423C2314yes—
368#423C2314yes—
369#423C2314yes—
370#423C2314yes—
371C2×C4⋊C8—22no—
372C2×C4⋊C8—22no—
373C2×C4⋊C8—22no—
374C2×C4⋊C8—22no—
375C2×C4⋊C8—22no—
376C2×C4⋊C8—22no—
377C2×C4⋊C8—22no—
378C2×C4⋊C8—22no—
379C2×C4⋊C8—22no—
380C2×C4⋊C8—22no—
381C2×C4⋊C8C2314yes—
382C2×C4⋊C8C2314yes—
383C2×C4⋊C8C2314yes—
384C2×C4⋊C8C2314yes—
385#407—22no—
386#407—22no—
387#407—22no—
388#407—22no—
389C2×C22⋊C8—22no—
390C2×C22⋊C8—22no—
391C4×M16—22no—
392C4×M16—22no—
393C4×M16—22no—
394C4×M16—22no—
395C2×#97—22no—
396C2×C4×C8—22no—
397#333C23116yescomplemented
398#332C23116yescomplemented
399#332C23116yescomplemented
400#331C23116yescomplemented
401C25C22⋊C411yescharacteristic
402C2×#41—22no—
403C2×#41—22no—
404C2×#41—22no—
405C2×#41—22no—
406C2×#41—22no—
407C2×#41—22no—
408C2×#41—22no—
409C2×#41—22no—
410C2×#41—22no—
411C2×#41—22no—
412C2×#41—48no—
413C2×#41—48no—
414C2×#41—44no—
415C2×#41—44no—
416C2×#41C22×C414yes—
417C2×#41C22×C414yes—
418C22×Q8—21no—
419C22×Q8—21no—
420C22×Q8C22×C412yes—
421C22×D4—22no—
422C22×D4—22no—
423C22×D4—22no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4C22×C412yes—
427C23×C4—24no—
428C23×C4—24no—
429C23×C4—22no—
430C23×C4—22no—
431C23×C4—22no—
432C23×C4—44no—
433C23×C4—44no—
434C23×C4C22⋊C411yescharacteristic
435C23×C4C22⋊C411yescharacteristic
436C23×C4C22⋊C411yescharacteristic
437C23×C4C22⋊C411yescharacteristic
438C23×C4C22⋊C411yescharacteristic
439C23×C4C22⋊C411yescharacteristic
440C23×C4C22⋊C411yescharacteristic
441C23×C4C22⋊C411yescharacteristic
442C23×C4C22⋊C411yescharacteristic
443C23×C4C22⋊C411yescharacteristic
444C23×C4C22⋊C411yescharacteristic
445C23×C4C22⋊C411yescharacteristic
446C23×C4C22⋊C411yescharacteristic
447C23×C4C22⋊C411yescharacteristic
448C23×C4C22⋊C411yescharacteristic
449C23×C4C22⋊C411yescharacteristic
450C23×C4C22⋊C411yescharacteristic
451C23×C4C22⋊C411yescharacteristic
452C23×C4C22⋊C411yescharacteristic
453C23×C4C22⋊C411yescharacteristic
454C23×C4C22⋊C411yescharacteristic
455C23×C4C22×C411yescharacteristic
456C23×C4C22×C411yescharacteristic
457C23×C4C22×C411yescharacteristic
458C23×C4C22×C411yescharacteristic
459C23×C4C22×C411yescharacteristic
460C23×C4C22×C411yescharacteristic
461C23×C4C22×C411yescharacteristic
462C23×C4C2×D411yescharacteristic
463C23×C4C2×D411yescharacteristic
464C23×C4C2×D411yescharacteristic
465C23×C4C2×D411yescharacteristic
466C23×C4C2×D411yescharacteristic
467C23×C4C2×D411yescharacteristic
468C23×C4C2×D411yescharacteristic
469C23×C4C2×D411yescharacteristic
470C23×C4C2×D411yescharacteristic
471C23×C4C2×D411yescharacteristic
472C23×C4C2×D411yescharacteristic
473C23×C4C2×D411yescharacteristic
474C23×C4C2×D411yescharacteristic
475C23×C4C2×D411yescharacteristic
476C2×M16—24no—
477C2×M16—24no—
478C2×M16—24no—
479C2×M16—24no—
480C2×M16—24no—
481C2×M16—24no—
482C2×M16—48no—
483C2×M16—48no—
484C2×M16—48no—
485C2×M16—48no—
486C2×M16—48no—
487C2×M16—48no—
488C2×M16—48no—
489C22×C8—24no—
490C22×C8—24no—
491C22×C8—24no—
492C22×C8—24no—
493C22×C8—48no—
494C4⋊Q8—21no—
495C4⋊Q8—21no—
496C4⋊Q8—21no—
497C4⋊Q8—21no—
498C4⋊Q8—21no—
499C4⋊Q8—21no—
500C4⋊Q8C22×C412yes—
501C4⋊Q8C22×C412yes—
502C4⋊Q8C22×C412yes—
503C4⋊Q8C2412yes—
504C4⋊Q8C2412yes—
505C4⋊Q8C2412yes—
506#127—21no—
507#127—21no—
508#127C22×C412yes—
509#127C2412yes—
510#126—24no—
511#126—24no—
512#126—24no—
513#126—24no—
514#126—24no—
515#126—24no—
516#126—24no—
517#126—24no—
518#125—22no—
519#125—22no—
520#125—22no—
521#125—22no—
522#125—22no—
523#125—22no—
524#125—22no—
525#125—22no—
526#125—22no—
527#125—22no—
528#125C22×C414yes—
529#125C22×C414yes—
530#124—22no—
531#124—22no—
532#124—22no—
533#124—22no—
534#124—22no—
535#124—22no—
536#124—22no—
537#124—22no—
538#124—22no—
539#124—22no—
540#124C22×C414yes—
541#124C22×C414yes—
542#123—24no—
543#123—24no—
544#123—24no—
545#123—24no—
546#123—24no—
547#123—24no—
548#123—24no—
549#123—24no—
550#123—24no—
551#123—24no—
552#123—24no—
553#123—24no—
554C22⋊Q8—22no—
555C22⋊Q8—22no—
556C22⋊Q8—22no—
557C22⋊Q8—22no—
558C22⋊Q8—22no—
559C22⋊Q8—22no—
560C22⋊Q8—22no—
561C22⋊Q8—22no—
562C22⋊Q8—22no—
563C22⋊Q8—22no—
564C22⋊Q8—22no—
565C22⋊Q8—22no—
566C22⋊Q8—22no—
567C22⋊Q8—22no—
568C22⋊Q8—22no—
569C22⋊Q8—22no—
570C22⋊Q8—22no—
571C22⋊Q8—22no—
572C22⋊Q8—22no—
573C22⋊Q8—22no—
574C22⋊Q8C22×C414yes—
575C22⋊Q8C22×C414yes—
576C22⋊Q8C22×C414yes—
577C22⋊Q8C22×C414yes—
578#121—22no—
579#121—22no—
580#121—22no—
581#121—22no—
582#121—22no—
583#121—22no—
584#121—22no—
585#121—22no—
586#121—22no—
587#121—22no—
588#121—22no—
589#121—22no—
590#121—22no—
591#121—22no—
592#121—22no—
593#121—22no—
594#121—22no—
595#121—22no—
596#121—22no—
597#121—22no—
598#121C22×C414yes—
599#121C22×C414yes—
600#121C22×C414yes—
601#121C22×C414yes—
602#120—24no—
603#120—24no—
604#120—24no—
605#120—24no—
606C4×Q8—22no—
607C4×Q8—22no—
608C4×Q8—22no—
609C4×Q8—22no—
610C4×Q8—22no—
611C4×Q8—22no—
612C4×Q8—22no—
613C4×Q8—22no—
614C4×Q8—22no—
615C4×Q8—22no—
616C4×Q8—22no—
617C4×Q8—22no—
618C4×Q8—22no—
619C4×Q8—22no—
620C4×Q8—22no—
621C4×Q8—22no—
622C4×Q8—22no—
623C4×Q8—22no—
624C4×Q8—22no—
625C4×Q8—22no—
626C4×Q8C22×C414yes—
627C4×Q8C22×C414yes—
628C4×Q8C22×C414yes—
629C4×Q8C22×C414yes—
630C4×D4—24no—
631C4×D4—24no—
632C4×D4—24no—
633C4×D4—24no—
634C4×D4—24no—
635C4×D4—24no—
636C4×D4—24no—
637C4×D4—24no—
638C4×D4—24no—
639C4×D4—24no—
640C4×D4—24no—
641C4×D4—24no—
642C4×D4—24no—
643C4×D4—24no—
644C4×D4—24no—
645C4×D4—24no—
646C4×D4—24no—
647C4×D4—24no—
648C4×D4—24no—
649C4×D4—24no—
650C4×D4—24no—
651C4×D4—24no—
652C4×D4—24no—
653C4×D4—24no—
654C4×D4—22no—
655C4×D4—22no—
656C4×D4—22no—
657C4×D4—22no—
658C4×D4—22no—
659C4×D4—22no—
660C4×D4—22no—
661C4×D4—22no—
662C4×D4—22no—
663C4×D4—22no—
664C4×D4—22no—
665C4×D4—22no—
666C4×D4—22no—
667C4×D4—22no—
668C4×D4—22no—
669C4×D4—22no—
670C4×D4—22no—
671C4×D4—22no—
672C4×D4—22no—
673C4×D4—22no—
674C4×D4C22×C414yes—
675C4×D4C22×C414yes—
676C4×D4C22×C414yes—
677C4×D4C22×C414yes—
678#117—22no—
679#117—22no—
680#117—22no—
681#117—22no—
682#117—22no—
683#117—22no—
684#117—22no—
685#117—22no—
686#117—22no—
687#117—22no—
688#117—24no—
689#117—24no—
690#117—24no—
691#117—24no—
692#117—24no—
693#117—24no—
694#117—24no—
695#117—24no—
696#117—24no—
697#117—24no—
698#117—24no—
699#117—24no—
700#117C22×C414yes—
701#117C22×C414yes—
702C2×C4⋊C4—22no—
703C2×C4⋊C4—22no—
704C2×C4⋊C4—22no—
705C2×C4⋊C4—22no—
706C2×C4⋊C4—22no—
707C2×C4⋊C4—22no—
708C2×C4⋊C4—21no—
709C2×C4⋊C4—21no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—21no—
712C2×C4⋊C4C22×C412yes—
713C2×C4⋊C4C22×C412yes—
714C2×C22⋊C4—22no—
715C2×C22⋊C4—22no—
716C2×C22⋊C4—22no—
717C2×C22⋊C4—22no—
718C2×C22⋊C4—22no—
719C2×C22⋊C4—22no—
720C2×C22⋊C4—22no—
721C2×C22⋊C4—22no—
722C2×C22⋊C4—22no—
723C2×C42—22no—
724C2×C42—22no—
725C2×C42—22no—
726C2×C42—24no—
727C2×C42—24no—
728C2×C42—24no—
729C2×C42—24no—
730C2×C42C22⋊C411yescharacteristic
731C2×C42C22⋊C411yescharacteristic
732C2×C42C22⋊C411yescharacteristic
733C2×C42C22⋊C411yescharacteristic
734C2×C42C22⋊C411yescharacteristic
735C2×C42C22⋊C411yescharacteristic
736C2×C42C22⋊C411yescharacteristic
737C2×C42C22⋊C411yescharacteristic
738C2×C42C22⋊C411yescharacteristic
739C2×C42C22⋊C411yescharacteristic
740C2×C42C22⋊C411yescharacteristic
741C2×C42C22⋊C411yescharacteristic
742C2×C42C22⋊C411yescharacteristic
743C2×C42C22⋊C411yescharacteristic
744C2×C42C22⋊C411yescharacteristic
745C2×C42C22⋊C411yescharacteristic
746C2×C42C22⋊C411yescharacteristic
747C2×C42C22⋊C411yescharacteristic
748C2×C42C22⋊C411yescharacteristic
749C2×C42C22⋊C411yescharacteristic
750C2×C42C22⋊C411yescharacteristic
751C2×C42C22⋊C411yescharacteristic
752C2×C42C22⋊C411yescharacteristic
753C2×C42C22⋊C411yescharacteristic
754C2×C42C22⋊C411yescharacteristic
755C2×C42C22⋊C411yescharacteristic
756C2×C42C22⋊C411yescharacteristic
757C2×C42C22⋊C411yescharacteristic
758C2×C42C22⋊C411yescharacteristic
759C2×C42C22⋊C411yescharacteristic
760C2×C42C22⋊C411yescharacteristic
761C2×C42C22⋊C411yescharacteristic
762C2×C42C22⋊C411yescharacteristic
763C2×C42C22⋊C411yescharacteristic
764C2×C42C22⋊C411yescharacteristic
765C2×C42C22⋊C411yescharacteristic
766C2×C42C22⋊C411yescharacteristic
767C2×C42C22⋊C411yescharacteristic
768C2×C42C22⋊C411yescharacteristic
769C2×C42C22⋊C411yescharacteristic
770C2×C42C22⋊C411yescharacteristic
771C2×C42C22⋊C411yescharacteristic
772C2×C42C22×C411yescharacteristic
773C2×C42C22×C411yescharacteristic
774C2×C42C22×C411yescharacteristic
775C2×C42C22×C411yescharacteristic
776C2×C42C22×C411yescharacteristic
777C2×C42C22×C411yescharacteristic
778C2×C42C22×C411yescharacteristic
779C2×C42C22×C411yescharacteristic
780C2×C42C22×C411yescharacteristic
781C2×C42C22×C411yescharacteristic
782C2×C42C22×C411yescharacteristic
783C2×C42C22×C411yescharacteristic
784C2×C42C22×C411yescharacteristic
785C2×C42C22×C411yescharacteristic
786C2×C42C22×C411yescharacteristic
787C2×C42C22×C411yescharacteristic
788C2×C42C22×C411yescharacteristic
789C2×C42C22×C411yescharacteristic
790C2×C42C22×C411yescharacteristic
791C2×C42C22×C411yescharacteristic
792C2×C42C22×C411yescharacteristic
793C2×C42C2×D411yescharacteristic
794C2×C42C2×D411yescharacteristic
795C2×C42C2×D411yescharacteristic
796C2×C42C2×D411yescharacteristic
797C2×C42C2×D411yescharacteristic
798C2×C42C2×D411yescharacteristic
799C2×C42C2×D411yescharacteristic
800C2×C42C2×D411yescharacteristic
801C2×C42C2×D411yescharacteristic
802C2×C42C2×D411yescharacteristic
803C2×C42C2×D411yescharacteristic
804C2×C42C2×D411yescharacteristic
805C2×C42C2×D411yescharacteristic
806C2×C42C2×D411yescharacteristic
807C2×C42C2×D411yescharacteristic
808C2×C42C2×D411yescharacteristic
809C2×C42C2×D411yescharacteristic
810C2×C42C2×D411yescharacteristic
811C2×C42C2×D411yescharacteristic
812C2×C42C2×D411yescharacteristic
813C2×C42C2×D411yescharacteristic
814C2×C42C2×D411yescharacteristic
815C2×C42C2×D411yescharacteristic
816C2×C42C2×D411yescharacteristic
817C2×C42C2×D411yescharacteristic
818C2×C42C2×D411yescharacteristic
819C2×C42C2×D411yescharacteristic
820C2×C42C2×D411yescharacteristic
821C2×C42C2×D411yescharacteristic
822C2×C42C2×D411yescharacteristic
823C2×C42C2×D411yescharacteristic
824C2×C42C2×D411yescharacteristic
825C2×C42C2×D411yescharacteristic
826C2×C42C2×D411yescharacteristic
827C2×C42C2×D411yescharacteristic
828C2×C42C2×D411yescharacteristic
829C2×C42C2×D411yescharacteristic
830C2×C42C2×D411yescharacteristic
831C2×C42C2×D411yescharacteristic
832C2×C42C2×D411yescharacteristic
833C2×C42C2×D411yescharacteristic
834C2×C42C2×D411yescharacteristic
835C2×C42C2411yescharacteristic
836C2×C42C2411yescharacteristic
837C2×C42C2411yescharacteristic
838C2×C42C2411yescharacteristic
839C2×C42C2411yescharacteristic
840C2×C42C2411yescharacteristic
841C2×C42C2411yescharacteristic
842C4⋊C8—24no—
843C4⋊C8—24no—
844C4⋊C8—24no—
845C4⋊C8—24no—
846C4⋊C8—24no—
847C4⋊C8—24no—
848C4⋊C8—24no—
849C4⋊C8—24no—
850C4⋊C8—24no—
851C4⋊C8—24no—
852C4⋊C8C2418yes—
853C4⋊C8C2418yes—
854C22⋊C8—24no—
855C22⋊C8—24no—
856C22⋊C8—24no—
857C22⋊C8—24no—
858#97—24no—
859#97—24no—
860C4×C8—24no—
861C4×C8—24no—
862C24—24no—
863C24—22no—
864C24—42no—
865C24—42no—
866C24C2×C22⋊C411yescharacteristic
867C24C2×C22⋊C411yescharacteristic
868C24C2×C22⋊C411yescharacteristic
869C24C2×C22⋊C411yescharacteristic
870C24C2×C22⋊C411yescharacteristic
871C24C2×C22⋊C411yescharacteristic
872C24C2×C22⋊C411yescharacteristic
873#41—48no—
874#41—48no—
875#41—48no—
876#41—48no—
877#41—48no—
878#41—48no—
879#41—44no—
880#41—44no—
881#41—44no—
882#41—44no—
883#41—48no—
884#41—48no—
885#41—48no—
886#41—48no—
887C2×Q8—22no—
888C2×Q8—22no—
889C2×Q8—22no—
890C2×Q8—22no—
891C2×Q8—22no—
892C2×Q8—44no—
893C2×Q8—44no—
894C2×Q8—42no—
895C2×Q8—42no—
896C2×Q8C23×C414yes—
897C2×D4—24no—
898C2×D4—24no—
899C2×D4—24no—
900C2×D4—24no—
901C2×D4—24no—
902C2×D4—24no—
903C2×D4—22no—
904C2×D4—22no—
905C2×D4—22no—
906C2×D4—22no—
907C2×D4—22no—
908C2×D4—44no—
909C2×D4—44no—
910C2×D4—48no—
911C2×D4—48no—
912C2×D4—48no—
913C2×D4—42no—
914C2×D4—42no—
915C2×D4C23×C414yes—
916C22×C4—24no—
917C22×C4—22no—
918C22×C4—22no—
919C22×C4—22no—
920C22×C4—22no—
921C22×C4—22no—
922C22×C4—22no—
923C22×C4—22no—
924C22×C4—22no—
925C22×C4—22no—
926C22×C4—22no—
927C22×C4—22no—
928C22×C4—22no—
929C22×C4—24no—
930C22×C4—24no—
931C22×C4—24no—
932C22×C4—24no—
933C22×C4—24no—
934C22×C4—24no—
935C22×C4—24no—
936C22×C4—24no—
937C22×C4—24no—
938C22×C4—24no—
939C22×C4—24no—
940C22×C4—24no—
941C22×C4—22no—
942C22×C4—22no—
943C22×C4—22no—
944C22×C4—24no—
945C22×C4—24no—
946C22×C4—24no—
947C22×C4—24no—
948C22×C4—24no—
949C22×C4—24no—
950C22×C4—42no—
951C22×C4—42no—
952C22×C4—42no—
953C22×C4—42no—
954C22×C4—42no—
955C22×C4—42no—
956C22×C4—42no—
957C22×C4—42no—
958C22×C4—42no—
959C22×C4—42no—
960C22×C4—42no—
961C22×C4—42no—
962C22×C4—42no—
963C22×C4—42no—
964C22×C4—42no—
965C22×C4—42no—
966C22×C4—42no—
967C22×C4—42no—
968C22×C4—42no—
969C22×C4—42no—
970C22×C4—42no—
971C22×C4—42no—
972C22×C4—48no—
973C22×C4—48no—
974C22×C4—48no—
975C22×C4C2×C22⋊C411yescharacteristic
976C22×C4C2×C22⋊C411yescharacteristic
977C22×C4C2×C22⋊C411yescharacteristic
978C22×C4C2×C22⋊C411yescharacteristic
979C22×C4C2×C22⋊C411yescharacteristic
980C22×C4C2×C22⋊C411yescharacteristic
981C22×C4C2×C22⋊C411yescharacteristic
982C22×C4C2×C22⋊C411yescharacteristic
983C22×C4C2×C22⋊C411yescharacteristic
984C22×C4C2×C22⋊C411yescharacteristic
985C22×C4C2×C22⋊C411yescharacteristic
986C22×C4C2×C22⋊C411yescharacteristic
987C22×C4C2×C22⋊C411yescharacteristic
988C22×C4C2×C22⋊C411yescharacteristic
989C22×C4C2×C22⋊C411yescharacteristic
990C22×C4C2×C22⋊C411yescharacteristic
991C22×C4C2×C22⋊C411yescharacteristic
992C22×C4C2×C22⋊C411yescharacteristic
993C22×C4C2×C22⋊C411yescharacteristic
994C22×C4C2×C22⋊C411yescharacteristic
995C22×C4C2×C22⋊C411yescharacteristic
996C22×C4C2×C22⋊C411yescharacteristic
997C22×C4C2×C22⋊C411yescharacteristic
998C22×C4C2×C22⋊C411yescharacteristic
999C22×C4C2×C22⋊C411yescharacteristic
1000C22×C4C2×C22⋊C411yescharacteristic
1001C22×C4C2×C22⋊C411yescharacteristic
1002C22×C4C2×C22⋊C411yescharacteristic
1003C22×C4C2×C22⋊C411yescharacteristic
1004C22×C4C2×C22⋊C411yescharacteristic
1005C22×C4C2×C22⋊C411yescharacteristic
1006C22×C4C2×C22⋊C411yescharacteristic
1007C22×C4C2×C22⋊C411yescharacteristic
1008C22×C4C2×C22⋊C411yescharacteristic
1009C22×C4C2×C22⋊C411yescharacteristic
1010C22×C4C2×C22⋊C411yescharacteristic
1011C22×C4C2×C22⋊C411yescharacteristic
1012C22×C4C2×C22⋊C411yescharacteristic
1013C22×C4C2×C22⋊C411yescharacteristic
1014C22×C4C2×C22⋊C411yescharacteristic
1015C22×C4C2×C22⋊C411yescharacteristic
1016C22×C4C2×C22⋊C411yescharacteristic
1017C22×C4C2×C22⋊C411yescharacteristic
1018C22×C4C2×C22⋊C411yescharacteristic
1019C22×C4C2×C22⋊C411yescharacteristic
1020C22×C4C2×C22⋊C411yescharacteristic
1021C22×C4C2×C22⋊C411yescharacteristic
1022C22×C4C2×C22⋊C411yescharacteristic
1023C22×C4C2×C22⋊C411yescharacteristic
1024C22×C4C2×C22⋊C411yescharacteristic
1025C22×C4C2×C22⋊C411yescharacteristic
1026C22×C4C2×C22⋊C411yescharacteristic
1027C22×C4C2×C22⋊C411yescharacteristic
1028C22×C4C2×C22⋊C411yescharacteristic
1029C22×C4C2×C22⋊C411yescharacteristic
1030C22×C4C2×C22⋊C411yescharacteristic
1031C22×C4C2×C22⋊C411yescharacteristic
1032C22×C4C2×C22⋊C411yescharacteristic
1033C22×C4C2×C22⋊C411yescharacteristic
1034C22×C4C2×C22⋊C411yescharacteristic
1035C22×C4C2×C22⋊C411yescharacteristic
1036C22×C4C2×C22⋊C411yescharacteristic
1037C22×C4C2×C22⋊C411yescharacteristic
1038C22×C4AGL(1,ℤ/8)14yes—
1039C22×C4#13714yes—
1040C22×C4C23×C411yescharacteristic
1041C22×C4C23×C411yescharacteristic
1042C22×C4C23×C411yescharacteristic
1043C22×C4C23×C411yescharacteristic
1044C22×C4C23×C411yescharacteristic
1045C22×C4C23×C411yescharacteristic
1046C22×C4C23×C411yescharacteristic
1047C22×C4C22×D411yescharacteristic
1048C22×C4C22×D411yescharacteristic
1049C22×C4C22×D411yescharacteristic
1050C22×C4C22×D411yescharacteristic
1051C22×C4C22×D411yescharacteristic
1052C22×C4C22×D411yescharacteristic
1053C22×C4C22×D411yescharacteristic
1054C22×C4C22×D411yescharacteristic
1055C22×C4C22×D411yescharacteristic
1056C22×C4C22×D411yescharacteristic
1057C22×C4C22×D411yescharacteristic
1058C22×C4C22×D411yescharacteristic
1059C22×C4C22×D411yescharacteristic
1060C22×C4C22×D411yescharacteristic
1061M16—48no—
1062M16—48no—
1063M16—48no—
1064M16—48no—
1065M16—48no—
1066M16—48no—
1067C2×C8—28no—
1068C2×C8—28no—
1069C2×C8—48no—
1070C2×C8—48no—
1071C2×C8—48no—
1072C2×C8—48no—
1073C4⋊C4—22no—
1074C4⋊C4—22no—
1075C4⋊C4—22no—
1076C4⋊C4—22no—
1077C4⋊C4—24no—
1078C4⋊C4—24no—
1079C4⋊C4—24no—
1080C4⋊C4—24no—
1081C4⋊C4—24no—
1082C4⋊C4—24no—
1083C4⋊C4—24no—
1084C4⋊C4—24no—
1085C4⋊C4—24no—
1086C4⋊C4—24no—
1087C4⋊C4—24no—
1088C4⋊C4—24no—
1089C4⋊C4—22no—
1090C4⋊C4—22no—
1091C4⋊C4—22no—
1092C4⋊C4—22no—
1093C4⋊C4—22no—
1094C4⋊C4—22no—
1095C4⋊C4C23×C414yes—
1096C4⋊C4C23×C414yes—
1097C22⋊C4—24no—
1098C22⋊C4—24no—
1099C22⋊C4—24no—
1100C22⋊C4—24no—
1101C22⋊C4—24no—
1102C22⋊C4—24no—
1103C22⋊C4—24no—
1104C22⋊C4—24no—
1105C22⋊C4—24no—
1106C22⋊C4—24no—
1107C22⋊C4—24no—
1108C22⋊C4—24no—
1109C22⋊C4—24no—
1110C22⋊C4—24no—
1111C22⋊C4—24no—
1112C22⋊C4—24no—
1113C22⋊C4—24no—
1114C22⋊C4—24no—
1115C42—24no—
1116C42—24no—
1117C42—24no—
1118C42—24no—
1119C42—24no—
1120C42—24no—
1121C42C2×C22⋊C411yescharacteristic
1122C42C2×C22⋊C411yescharacteristic
1123C42C2×C22⋊C411yescharacteristic
1124C42C2×C22⋊C411yescharacteristic
1125C42C2×C22⋊C411yescharacteristic
1126C42C2×C22⋊C411yescharacteristic
1127C42C2×C22⋊C411yescharacteristic
1128C42C2×C22⋊C411yescharacteristic
1129C42C2×C22⋊C411yescharacteristic
1130C42C2×C22⋊C411yescharacteristic
1131C42C2×C22⋊C411yescharacteristic
1132C42C2×C22⋊C411yescharacteristic
1133C42C2×C22⋊C411yescharacteristic
1134C42C2×C22⋊C411yescharacteristic
1135C42C2×C22⋊C411yescharacteristic
1136C42C2×C22⋊C411yescharacteristic
1137C42C2×C22⋊C411yescharacteristic
1138C42C2×C22⋊C411yescharacteristic
1139C42C2×C22⋊C411yescharacteristic
1140C42C2×C22⋊C411yescharacteristic
1141C42C2×C22⋊C411yescharacteristic
1142C42C2×C22⋊C411yescharacteristic
1143C42C2×C22⋊C411yescharacteristic
1144C42C2×C22⋊C411yescharacteristic
1145C42C2×C22⋊C411yescharacteristic
1146C42C2×C22⋊C411yescharacteristic
1147C42C2×C22⋊C411yescharacteristic
1148C42C2×C22⋊C411yescharacteristic
1149C42C2×C22⋊C411yescharacteristic
1150C42C2×C22⋊C411yescharacteristic
1151C42C2×C22⋊C411yescharacteristic
1152C42C2×C22⋊C411yescharacteristic
1153C42C2×C22⋊C411yescharacteristic
1154C42C2×C22⋊C411yescharacteristic
1155C42C2×C22⋊C411yescharacteristic
1156C42C2×C22⋊C411yescharacteristic
1157C42C2×C22⋊C411yescharacteristic
1158C42C2×C22⋊C411yescharacteristic
1159C42C2×C22⋊C411yescharacteristic
1160C42C2×C22⋊C411yescharacteristic
1161C42C2×C22⋊C411yescharacteristic
1162C42C2×C22⋊C411yescharacteristic
1163C42C23×C411yescharacteristic
1164C42C23×C411yescharacteristic
1165C42C23×C411yescharacteristic
1166C42C23×C411yescharacteristic
1167C42C23×C411yescharacteristic
1168C42C23×C411yescharacteristic
1169C42C23×C411yescharacteristic
1170C42C22×D411yescharacteristic
1171C42C22×D411yescharacteristic
1172C42C22×D411yescharacteristic
1173C42C22×D411yescharacteristic
1174C42C22×D411yescharacteristic
1175C42C22×D411yescharacteristic
1176C42C22×D411yescharacteristic
1177C42C22×D411yescharacteristic
1178C42C22×D411yescharacteristic
1179C42C22×D411yescharacteristic
1180C42C22×D411yescharacteristic
1181C42C22×D411yescharacteristic
1182C42C22×D411yescharacteristic
1183C42C22×D411yescharacteristic
1184C42C2511yescharacteristic
1185C23—22no—
1186C23—22no—
1187C23—22no—
1188C23—22no—
1189C23—22no—
1190C23—22no—
1191C23—22no—
1192C23—22no—
1193C23—22no—
1194C23—22no—
1195C23—22no—
1196C23—22no—
1197C23—24no—
1198C23—41no—
1199C23—41no—
1200C23—41no—
1201C23—41no—
1202C23—41no—
1203C23—41no—
1204C23—41no—
1205C23—41no—
1206C23—416no—
1207C23—44no—
1208C23—44no—
1209C23—44no—
1210C23#41714yes—
1211C23C22×C22⋊C411yescharacteristic
1212C23C22×C22⋊C411yescharacteristic
1213C23C22×C22⋊C411yescharacteristic
1214C23C22×C22⋊C411yescharacteristic
1215C23C22×C22⋊C411yescharacteristic
1216C23C22×C22⋊C411yescharacteristic
1217C23C22×C22⋊C411yescharacteristic
1218Q8—44no—
1219Q8—44no—
1220Q8—44no—
1221Q8—44no—
1222Q8—42no—
1223Q8—42no—
1224Q8—44no—
1225D4—44no—
1226D4—44no—
1227D4—48no—
1228D4—48no—
1229D4—48no—
1230D4—48no—
1231D4—48no—
1232D4—48no—
1233D4—44no—
1234D4—44no—
1235D4—42no—
1236D4—42no—
1237D4—44no—
1238C2×C4—22no—
1239C2×C4—22no—
1240C2×C4—22no—
1241C2×C4—22no—
1242C2×C4—22no—
1243C2×C4—22no—
1244C2×C4—22no—
1245C2×C4—22no—
1246C2×C4—22no—
1247C2×C4—22no—
1248C2×C4—22no—
1249C2×C4—22no—
1250C2×C4—22no—
1251C2×C4—22no—
1252C2×C4—22no—
1253C2×C4—22no—
1254C2×C4—22no—
1255C2×C4—22no—
1256C2×C4—22no—
1257C2×C4—22no—
1258C2×C4—22no—
1259C2×C4—22no—
1260C2×C4—22no—
1261C2×C4—22no—
1262C2×C4—22no—
1263C2×C4—22no—
1264C2×C4—22no—
1265C2×C4—22no—
1266C2×C4—22no—
1267C2×C4—22no—
1268C2×C4—22no—
1269C2×C4—22no—
1270C2×C4—22no—
1271C2×C4—22no—
1272C2×C4—22no—
1273C2×C4—22no—
1274C2×C4—22no—
1275C2×C4—22no—
1276C2×C4—22no—
1277C2×C4—22no—
1278C2×C4—22no—
1279C2×C4—22no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—22no—
1289C2×C4—22no—
1290C2×C4—22no—
1291C2×C4—22no—
1292C2×C4—22no—
1293C2×C4—22no—
1294C2×C4—24no—
1295C2×C4—24no—
1296C2×C4—24no—
1297C2×C4—41no—
1298C2×C4—41no—
1299C2×C4—41no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—48no—
1322C2×C4—48no—
1323C2×C4—44no—
1324C2×C4—44no—
1325C2×C4—44no—
1326C2×C4—48no—
1327C2×C4—48no—
1328C2×C4—48no—
1329C2×C4—48no—
1330C2×C4#41314yes—
1331C2×C4#41714yes—
1332C2×C4#41714yes—
1333C2×C4#41714yes—
1334C2×C4C22×C22⋊C411yescharacteristic
1335C2×C4C22×C22⋊C411yescharacteristic
1336C2×C4C22×C22⋊C411yescharacteristic
1337C2×C4C22×C22⋊C411yescharacteristic
1338C2×C4C22×C22⋊C411yescharacteristic
1339C2×C4C22×C22⋊C411yescharacteristic
1340C2×C4C22×C22⋊C411yescharacteristic
1341C2×C4C22×C22⋊C411yescharacteristic
1342C2×C4C22×C22⋊C411yescharacteristic
1343C2×C4C22×C22⋊C411yescharacteristic
1344C2×C4C22×C22⋊C411yescharacteristic
1345C2×C4C22×C22⋊C411yescharacteristic
1346C2×C4C22×C22⋊C411yescharacteristic
1347C2×C4C22×C22⋊C411yescharacteristic
1348C2×C4C22×C22⋊C411yescharacteristic
1349C2×C4C22×C22⋊C411yescharacteristic
1350C2×C4C22×C22⋊C411yescharacteristic
1351C2×C4C22×C22⋊C411yescharacteristic
1352C2×C4C22×C22⋊C411yescharacteristic
1353C2×C4C22×C22⋊C411yescharacteristic
1354C2×C4C22×C22⋊C411yescharacteristic
1355C2×C4C2×AGL(1,ℤ/8)12yes—
1356C2×C4C2×AGL(1,ℤ/8)12yes—
1357C2×C4C2×AGL(1,ℤ/8)12yes—
1358C2×C4C2×#13712yes—
1359C2×C4C2×#13712yes—
1360C2×C4C2×#13712yes—
1361C2×C4#57514yes—
1362C2×C4C24×C411yescharacteristic
1363C2×C4C23×D411yescharacteristic
1364C2×C4C23×D411yescharacteristic
1365C8—48no—
1366C8—48no—
1367C22—28no—
1368C22—21no—
1369C22—21no—
1370C22—21no—
1371C22—21no—
1372C22—21no—
1373C22—21no—
1374C22—21no—
1375C22—21no—
1376C22—21no—
1377C22—21no—
1378C22—21no—
1379C22—21no—
1380C22—21no—
1381C22—21no—
1382C22—21no—
1383C22—21no—
1384C22—44no—
1385C22—44no—
1386C22—44no—
1387C22—44no—
1388C22—44no—
1389C22—44no—
1390C22—44no—
1391C22—44no—
1392C22—44no—
1393C22—88no—
1394C22C2×#41312yes—
1395C22C2×#41712yes—
1396C22C2×#41712yes—
1397C22C2×#41712yes—
1398C22#289612yes—
1399C22C23×C22⋊C411yescharacteristic
1400C4—21no—
1401C4—21no—
1402C4—21no—
1403C4—21no—
1404C4—21no—
1405C4—21no—
1406C4—21no—
1407C4—21no—
1408C4—21no—
1409C4—21no—
1410C4—21no—
1411C4—21no—
1412C4—21no—
1413C4—21no—
1414C4—21no—
1415C4—21no—
1416C4—44no—
1417C4—44no—
1418C4—44no—
1419C4C2×#41312yes—
1420C4C2×#41312yes—
1421C4C2×#41712yes—
1422C4C2×#41712yes—
1423C4C2×#41712yes—
1424C4#289612yes—
1425C4C22×AGL(1,ℤ/8)11yescharacteristic
1426C4C22×#13711yescharacteristic
1427C4C2×#57512yes—
1428C2—22no—
1429C2—22no—
1430C2—22no—
1431C2—22no—
1432C2—22no—
1433C2—41no—
1434C2—41no—
1435C2—84no—
1436C2C22×#41311yescharacteristic
1437C2C22×#41711yescharacteristic
1438C2C2×#289611yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊C4
commutatorC2×C4C24×C4
Frattini, cosocleC42C25
socleC22C23×C22⋊C4
prime radicalC2×#3444C2
LCSG ▷ C2×C4 ▷ C22 ▷ C1
UCSC1 ◁ C2×C4 ◁ C23×C42 ◁ G
LECSG ▷ C42 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2920C2semidirect
3. C22×#423C2semidirect
4. #17753C2semidirect
5. #17752C2semidirect
6. #17751C2semidirect
7. #17750C2semidirect
8. #17749C2semidirect
9. #17745C2semidirect
10. #17737C2semidirect
11. #17719C2semidirect
12. #17708C2semidirect
13. #17704C2semidirect
56. #2920C22semidirect
57. #2920C22semidirect
59. C2×#432C22semidirect
71. C2×#423C22semidirect
72. C2×#423C22semidirect
73. C2×#423C22semidirect
74. C2×#423C22semidirect
76. C22×C4⋊C8C22semidirect
79. #1561C22semidirect
80. #1560C22semidirect
81. #1559C22semidirect
82. #1557C22semidirect
83. #1552C22semidirect
84. #1551C22semidirect
85. #1550C22semidirect
86. #1550C22semidirect
87. #1549C22semidirect
88. #1548C22semidirect
89. #1547C22semidirect
90. #1547C22semidirect
91. #1546C22semidirect
92. #1545C22semidirect
93. #1542C22semidirect
94. #1540C22semidirect
397. #333C23semidirect
398. #332C23semidirect
399. #332C23semidirect
400. #331C23semidirect

Maximal subgroups

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

subgroupindex
C2×#34442
C2×#29202
C22×#4232
#177532
#177522
#177512
#177502
#177492
#177452
#177372
#177192
#177082
#177042