Finite Group Databasebeta

← #7361169

Subgroups — #7361169

Order 512.

1768 conjugacy classes of subgroups.

The subgroup lattice has 1491 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45114C211yesmaximal, characteristic, complemented
2#42963C211yesmaximal, characteristic
3#32064C211yesmaximal, characteristic, complemented
4#31855C211yesmaximal, characteristic, complemented
5#31769C211yesmaximal, characteristic, complemented
6#31191C211yesmaximal, characteristic, complemented
7#31047C211yesmaximal, characteristic, complemented
8#31040C211yesmaximal, characteristic, complemented
9#31004C211yesmaximal, characteristic, complemented
10#30730C211yesmaximal, characteristic, complemented
11#30630C211yesmaximal, characteristic, complemented
12#30527C211yesmaximal, characteristic, complemented
13#30516C211yesmaximal, characteristic, complemented
14#30424C211yesmaximal, characteristic, complemented
15#29898C211yesmaximal, characteristic, complemented
16#29603C211yesmaximal, characteristic, complemented
17#27352C211yesmaximal, characteristic, complemented
18#27226C211yesmaximal, characteristic, complemented
19#27168C211yesmaximal, characteristic, complemented
20#26808C211yesmaximal, characteristic, complemented
21#26647C211yesmaximal, characteristic, complemented
22#26248C211yesmaximal, characteristic, complemented
23#26224C211yesmaximal, characteristic, complemented
24#25569C211yesmaximal, characteristic, complemented
25#25559C211yesmaximal, characteristic, complemented
26#25552C211yesmaximal, characteristic, complemented
27#25165C211yesmaximal, characteristic, complemented
28#24133C211yesmaximal, characteristic, complemented
29#24015C211yesmaximal, characteristic, complemented
30#23926C211yesmaximal, characteristic, complemented
31#23313C211yesmaximal, characteristic, complemented
32C2×#555C2211yescharacteristic
33C2×#554C2211yescharacteristic, complemented
34C2×#536C2211yescharacteristic
35C2×#535C2211yescharacteristic
36C2×#486C2211yescharacteristic
37C2×#485C2211yescharacteristic, complemented
38C2×#482C2211yescharacteristic
39C2×#482C2211yescharacteristic
40C2×#482C2211yescharacteristic, complemented
41C2×#480C2211yescharacteristic
42C2×#475C2211yescharacteristic, complemented
43C2×#468C2211yescharacteristic
44C2×#468C2211yescharacteristic, complemented
45C2×#460C2211yescharacteristic
46C2×#448C2211yescharacteristic
47C2×#448C2211yescharacteristic
48C2×#448C2211yescharacteristic, complemented
49C2×#450C2211yescharacteristic
50C2×#450C2211yescharacteristic
51C2×#440C2211yescharacteristic, complemented
52#2819—21no—
53#2713—21no—
54#2700—21no—
55#2696—21no—
56#2687—21no—
57#2670—21no—
58#2670—21no—
59#2669—21no—
60#2669—21no—
61#2657—21no—
62#2619—21no—
63#2615C2211yescharacteristic
64#2610—21no—
65#2558—21no—
66#2541C2211yescharacteristic
67#2541C2211yescharacteristic
68#2536C2211yescharacteristic
69#2503C2211yescharacteristic, complemented
70#2492—21no—
71#2492C2211yescharacteristic
72#2491C2211yescharacteristic
73#2491C2211yescharacteristic
74#2459—21no—
75#2457—21no—
76#2439C2211yescharacteristic, complemented
77#2433C2211yescharacteristic
78#2428C2211yescharacteristic
79#2428C2211yescharacteristic
80#2421C2211yescharacteristic
81#2417C2211yescharacteristic
82#2415C2211yescharacteristic, complemented
83#2414C2211yescharacteristic
84#2414C2211yescharacteristic
85#2409C2211yescharacteristic, complemented
86#2408C2211yescharacteristic
87#2388C2211yescharacteristic
88#2362C2211yescharacteristic, complemented
89#2352C2211yescharacteristic, complemented
90#2346C2211yescharacteristic
91Q8×C22⋊C4C2211yescharacteristic, complemented
92#2311C2211yescharacteristic
93#2101C2211yescharacteristic, complemented
94#2092C2211yescharacteristic
95#2077C2211yescharacteristic, complemented
96#2076C2211yescharacteristic
97#2076C2211yescharacteristic, complemented
98#2075C2211yescharacteristic
99#2073C2211yescharacteristic
100#2073C2211yescharacteristic
101#2068C2211yescharacteristic, complemented
102#2067C2211yescharacteristic
103#2067C2211yescharacteristic
104#2066C2211yescharacteristic, complemented
105#2057C2211yescharacteristic, complemented
106#2057C2211yescharacteristic, complemented
107#2055C2211yescharacteristic
108#2055C2211yescharacteristic
109#2041C2211yescharacteristic
110#2036C2211yescharacteristic
111#2036C2211yescharacteristic, complemented
112#2035C2211yescharacteristic
113#2035C2211yescharacteristic, complemented
114#2034C2211yescharacteristic
115#2034C2211yescharacteristic
116#2034C2211yescharacteristic
117#2034C2211yescharacteristic
118#2034C2211yescharacteristic, complemented
119#2033C2211yescharacteristic
120#2033C2211yescharacteristic
121#2033C2211yescharacteristic
122#2033C2211yescharacteristic, complemented
123#2033C2211yescharacteristic, complemented
124#2024C2211yescharacteristic, complemented
125#2023C2211yescharacteristic
126#2014C2211yescharacteristic
127#2014C2211yescharacteristic
128#2014C2211yescharacteristic
129#2000C2211yescharacteristic
130#2000C2211yescharacteristic
131#2000C2211yescharacteristic
132#2000C2211yescharacteristic
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic
135#2000C2211yescharacteristic
136#2000C2211yescharacteristic
137#2000C2211yescharacteristic
138#2000C2211yescharacteristic, complemented
139#2000C2211yescharacteristic, complemented
140#2000C2211yescharacteristic, complemented
141#1993C2211yescharacteristic, complemented
142#1987C2211yescharacteristic, complemented
143#1982C2211yescharacteristic
144#1973C2211yescharacteristic
145#1973C2211yescharacteristic
146#1968C2211yescharacteristic
147#1961C2211yescharacteristic
148#1955C2211yescharacteristic
149#1955C2211yescharacteristic, complemented
150#1954C2211yescharacteristic, complemented
151#1949C2211yescharacteristic, complemented
152#1941C2211yescharacteristic, complemented
153#1936C2211yescharacteristic
154#1935C2211yescharacteristic, complemented
155#1928C2211yescharacteristic, complemented
156#1928C2211yescharacteristic, complemented
157#1927C2211yescharacteristic, complemented
158#1926C2211yescharacteristic
159#1924C2211yescharacteristic
160#1924C2211yescharacteristic, complemented
161#1924C2211yescharacteristic, complemented
162#1924C2211yescharacteristic, complemented
163#1923C2211yescharacteristic
164#1923C2211yescharacteristic, complemented
165#1918C2211yescharacteristic, complemented
166#1918C2211yescharacteristic, complemented
167#1895C2211yescharacteristic
168#1880C2211yescharacteristic
169#1880C2211yescharacteristic
170#1880C2211yescharacteristic
171#1877C2211yescharacteristic, complemented
172#1875C2211yescharacteristic
173#1875C2211yescharacteristic
174#1875C2211yescharacteristic, complemented
175#1874C2211yescharacteristic
176#1874C2211yescharacteristic
177#1874C2211yescharacteristic
178#1874C2211yescharacteristic, complemented
179#1874C2211yescharacteristic, complemented
180#1873C2211yescharacteristic
181#1873C2211yescharacteristic
182#1873C2211yescharacteristic, complemented
183#1870C2211yescharacteristic
184#1870C2211yescharacteristic, complemented
185#1870C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1863C2211yescharacteristic, complemented
188#1854C2211yescharacteristic
189#1854C2211yescharacteristic
190#1854C2211yescharacteristic, complemented
191#1854C2211yescharacteristic, complemented
192#1852C2211yescharacteristic, complemented
193#1825C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1787C2211yescharacteristic, complemented
196#1786C2211yescharacteristic
197#1786C2211yescharacteristic
198#1780C2211yescharacteristic
199#1780C2211yescharacteristic
200#1776C2211yescharacteristic, complemented
201C4×#103C2211yescharacteristic, complemented
202#1736C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×Q8C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C22×SD16C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×M16C2311yescharacteristic
213#555—42no—
214#555—42no—
215#554—42no—
216#554—42no—
217#536—42no—
218#536—42no—
219#535—42no—
220#535—42no—
221C2×C4⋊Q8—21no—
222C2×C4⋊Q8C2311yescharacteristic
223C2×C4⋊Q8C2311yescharacteristic
224C2×#127—21no—
225C2×#127—21no—
226C2×#127—21no—
227C2×#127C2311yescharacteristic
228C2×#127C2311yescharacteristic
229C2×#125—21no—
230C2×#124—21no—
231C2×#124—21no—
232C2×#124—21no—
233C2×#124—21no—
234C2×#124—21no—
235C2×#124—21no—
236C2×#123—21no—
237C2×#123—21no—
238C2×C22⋊Q8—21no—
239C2×C22⋊Q8—21no—
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#120—21no—
260C2×#120—21no—
261C2×#120—21no—
262C2×#120—21no—
263C2×#120—21no—
264C2×C4×Q8C2311yescharacteristic
265C2×C4×Q8C2311yescharacteristic
266C2×C4×D4—21no—
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×#117—21no—
272C2×#117C2311yescharacteristic
273C2×#117C2311yescharacteristic
274C2×#117C2311yescharacteristic
275C2×#117C2311yescharacteristic
276C22×C4⋊C4C2311yescharacteristic
277C22×C4⋊C4C2311yescharacteristic
278#486—42no—
279#485—42no—
280#482—42no—
281#482—42no—
282#482—42no—
283#480—42no—
284#475—42no—
285#468—42no—
286#468—42no—
287#460—42no—
288#450—42no—
289#450—42no—
290#448—42no—
291#448—42no—
292#448—42no—
293#440—42no—
294C2×#107C2311yescharacteristic
295C2×#107C2311yescharacteristic
296C2×#107C2311yescharacteristic
297C2×#107C2311yescharacteristic
298C2×#107C2311yescharacteristic
299C2×#107C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×#106C2311yescharacteristic
303C2×#106C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
305C2×C4⋊C8C2311yescharacteristic
306C2×C4⋊C8C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×C22⋊C8C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×#97C2311yescharacteristic
351C2×#97C2311yescharacteristic
352C2×C4×C8C2311yescharacteristic
353#400—21no—
354#400—21no—
355#400—21no—
356#400—21no—
357#398—21no—
358#398—21no—
359#397—21no—
360#397—21no—
361#396—21no—
362#396—21no—
363#395—21no—
364#395D411yescharacteristic
365#394—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394D411yescharacteristic
375#394D411yescharacteristic
376#394D411yescharacteristic
377#393—21no—
378#393—21no—
379#393—21no—
380#393—21no—
381#393—21no—
382#393—21no—
383#393D411yescharacteristic
384#392—21no—
385#392—21no—
386#392—21no—
387#392—21no—
388#392—21no—
389#392—21no—
390#392—21no—
391#392—21no—
392#392—21no—
393#392—21no—
394#392—21no—
395#392—21no—
396#392—21no—
397#392—21no—
398#392D411yescharacteristic
399#392D411yescharacteristic
400#392D411yescharacteristic
401#391—21no—
402#391—21no—
403#391—21no—
404#391—21no—
405#391—21no—
406#391C2311yescharacteristic
407#391C2311yescharacteristic
408#391C2311yescharacteristic
409#391C2311yescharacteristic
410#390—21no—
411#390—21no—
412#390—21no—
413#390—21no—
414#390—21no—
415#390C2311yescharacteristic
416#390C2311yescharacteristic
417#390C2311yescharacteristic
418#390C2311yescharacteristic
419#389—21no—
420#389C2311yescharacteristic
421#389C2311yescharacteristic
422#389C2311yescharacteristic
423#389C2311yescharacteristic
424#388—21no—
425#388—21no—
426#388—21no—
427#388—21no—
428#388—21no—
429#388—21no—
430#388—21no—
431#388—21no—
432#388—21no—
433#388—21no—
434#388—21no—
435#388—21no—
436#388—21no—
437#388—21no—
438#387—21no—
439#387—21no—
440#387—21no—
441#387—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#385—21no—
450#382—21no—
451#382C2311yescharacteristic
452#382C2311yescharacteristic
453#381—21no—
454#381—21no—
455#380—21no—
456#380—21no—
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#380C2311yescharacteristic
465#379—21no—
466C4×C4⋊C4—21no—
467C4×C4⋊C4C2311yescharacteristic
468C4×C4⋊C4C2311yescharacteristic
469C4×C4⋊C4C2311yescharacteristic
470C4×C22⋊C4—21no—
471C4×C22⋊C4—21no—
472C4×C22⋊C4C2311yescharacteristic
473C4×C22⋊C4C2311yescharacteristic
474C4×C22⋊C4C2311yescharacteristic
475#376—21no—
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502C25—21no—
503C2×#41—41no—
504C2×#41—41no—
505C2×#41—41no—
506C2×#41—41no—
507C2×#41—41no—
508C2×#41—41no—
509C22×Q8—21no—
510C22×Q8—21no—
511C22×Q8—21no—
512C22×Q8—22no—
513C22×Q8—41no—
514C22×Q8—41no—
515C22×Q8—41no—
516C22×Q8—41no—
517C22×Q8—41no—
518C22×Q8C2×D411yescharacteristic
519C22×Q8C2411yescharacteristic
520C22×Q8C2411yescharacteristic
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4C2×D411yescharacteristic
543C22×D4C2×D411yescharacteristic
544C22×D4C2×D411yescharacteristic
545C22×D4C2×D411yescharacteristic
546C22×D4C2×D411yescharacteristic
547C22×D4C2×D411yescharacteristic
548C22×D4C2411yescharacteristic
549C22×D4C2411yescharacteristic
550C22×D4C2411yescharacteristic
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4C2411yescharacteristic
556C23×C4C2411yescharacteristic
557C23×C4C2411yescharacteristic
558C23×C4C2411yescharacteristic
559C2×SD16—22no—
560C2×SD16—22no—
561C2×SD16—22no—
562C2×SD16—41no—
563C2×SD16—41no—
564C2×SD16—41no—
565C2×SD16—41no—
566C2×SD16—41no—
567C2×SD16—41no—
568C2×SD16—41no—
569C2×SD16—41no—
570C2×SD16—41no—
571C2×SD16—41no—
572C2×SD16—41no—
573C2×SD16—41no—
574C2×SD16—41no—
575C2×SD16—41no—
576C2×SD16—41no—
577C2×M16—41no—
578C2×M16—41no—
579C2×M16—41no—
580C22×C8C2411yescharacteristic
581C22×C8C2411yescharacteristic
582C22×C8C2411yescharacteristic
583C22×C8C2411yescharacteristic
584C22×C8C2411yescharacteristic
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588C4⋊Q8—22no—
589C4⋊Q8—22no—
590C4⋊Q8—41no—
591C4⋊Q8—41no—
592C4⋊Q8—44no—
593#127—41no—
594#127—41no—
595#127—41no—
596#127—41no—
597#127—44no—
598#127—82no—
599#127—82no—
600#125—44no—
601#124—44no—
602#124—44no—
603#124—44no—
604#124—44no—
605#124—82no—
606#124—82no—
607#123—44no—
608#123—44no—
609C22⋊Q8—22no—
610C22⋊Q8—22no—
611C22⋊Q8—22no—
612C22⋊Q8—22no—
613C22⋊Q8—22no—
614C22⋊Q8—44no—
615C22⋊Q8—41no—
616C22⋊Q8—41no—
617C22⋊Q8—41no—
618C22⋊Q8—41no—
619C22⋊Q8—41no—
620C22⋊Q8—44no—
621C22⋊Q8—41no—
622C22⋊Q8—41no—
623#121—22no—
624#121—22no—
625#121—22no—
626#121—22no—
627#121—22no—
628#121—44no—
629#121—41no—
630#121—41no—
631#121—41no—
632#121—41no—
633#121—41no—
634#121—41no—
635#121—41no—
636#121—41no—
637#121—41no—
638#121—41no—
639#121—41no—
640#121—41no—
641#121—41no—
642#121—41no—
643#121—41no—
644#121—82no—
645#121—82no—
646#120—44no—
647#120—44no—
648#120—82no—
649#120—82no—
650#120—82no—
651C4×Q8—22no—
652C4×Q8—41no—
653C4×Q8—41no—
654C4×Q8—41no—
655C4×D4—22no—
656C4×D4—41no—
657C4×D4—41no—
658C4×D4—41no—
659C4×D4—41no—
660C4×D4—41no—
661C4×D4—41no—
662C4×D4—41no—
663C4×D4—44no—
664#117—22no—
665#117—22no—
666#117—22no—
667#117—22no—
668#117—44no—
669#117—41no—
670#117—41no—
671#117—41no—
672#117—41no—
673C2×C4⋊C4—21no—
674C2×C4⋊C4—22no—
675C2×C4⋊C4—21no—
676C2×C4⋊C4—21no—
677C2×C4⋊C4—21no—
678C2×C4⋊C4—21no—
679C2×C4⋊C4—21no—
680C2×C4⋊C4—21no—
681C2×C4⋊C4—21no—
682C2×C4⋊C4—21no—
683C2×C4⋊C4—21no—
684C2×C4⋊C4—21no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—21no—
689C2×C4⋊C4—21no—
690C2×C4⋊C4—41no—
691C2×C4⋊C4—41no—
692C2×C4⋊C4—41no—
693C2×C4⋊C4C2×D411yescharacteristic
694C2×C4⋊C4C2×D411yescharacteristic
695C2×C4⋊C4C2×D411yescharacteristic
696C2×C4⋊C4C2411yescharacteristic
697C2×C4⋊C4C2411yescharacteristic
698C2×C4⋊C4C2411yescharacteristic
699C2×C4⋊C4C2411yescharacteristic
700C2×C4⋊C4C2411yescharacteristic
701C2×C4⋊C4C2411yescharacteristic
702C2×C4⋊C4C2411yescharacteristic
703C2×C4⋊C4C2411yescharacteristic
704C2×C4⋊C4C2411yescharacteristic
705C2×C4⋊C4C2411yescharacteristic
706C2×C4⋊C4C2411yescharacteristic
707C2×C22⋊C4—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
720C2×C22⋊C4—21no—
721C2×C22⋊C4—21no—
722C2×C22⋊C4—21no—
723C2×C22⋊C4—21no—
724C2×C22⋊C4—21no—
725C2×C22⋊C4—21no—
726C2×C22⋊C4—21no—
727C2×C22⋊C4—21no—
728C2×C22⋊C4—21no—
729C2×C22⋊C4—21no—
730C2×C22⋊C4—21no—
731C2×C22⋊C4—21no—
732C2×C22⋊C4—21no—
733C2×C22⋊C4—21no—
734C2×C22⋊C4—21no—
735C2×C22⋊C4—21no—
736C2×C22⋊C4—21no—
737C2×C22⋊C4—21no—
738C2×C22⋊C4—21no—
739C2×C22⋊C4—21no—
740C2×C22⋊C4—21no—
741C2×C22⋊C4—21no—
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4C2×D411yescharacteristic
745C2×C22⋊C4C2×D411yescharacteristic
746C2×C22⋊C4C2×D411yescharacteristic
747C2×C22⋊C4C2×D411yescharacteristic
748C2×C22⋊C4C2×D411yescharacteristic
749C2×C22⋊C4C2×D411yescharacteristic
750C2×C22⋊C4C2×D411yescharacteristic
751C2×C22⋊C4C2×D411yescharacteristic
752C2×C22⋊C4C2×D411yescharacteristic
753C2×C22⋊C4C2×D411yescharacteristic
754C2×C22⋊C4C2×D411yescharacteristic
755C2×C22⋊C4C2×D411yescharacteristic
756C2×C42—21no—
757C2×C42—21no—
758C2×C42—21no—
759C2×C42—21no—
760C2×C42—21no—
761C2×C42—21no—
762C2×C42—21no—
763C2×C42—21no—
764C2×C42—21no—
765C2×C42C2411yescharacteristic
766C2×C42C2411yescharacteristic
767C2×C42C2411yescharacteristic
768#107—22no—
769#107—22no—
770#107—22no—
771#107—41no—
772#107—41no—
773#107—41no—
774#106—22no—
775#106—22no—
776#106—41no—
777#106—41no—
778C4⋊C8—41no—
779C4⋊C8—41no—
780C4⋊C8—41no—
781#103—22no—
782#103—22no—
783#103—22no—
784#103—22no—
785#103—22no—
786#103—41no—
787#103—41no—
788#103—41no—
789#103—41no—
790#103—41no—
791#102—22no—
792#102—22no—
793#102—22no—
794#102—41no—
795#102—41no—
796#102—41no—
797#102—41no—
798#102—41no—
799#102—41no—
800#102—41no—
801#102—41no—
802#102—41no—
803#102—41no—
804#102—41no—
805#102—41no—
806#102—41no—
807#102—41no—
808#102—41no—
809C22⋊C8—41no—
810C22⋊C8—41no—
811C22⋊C8—41no—
812C22⋊C8—41no—
813C22⋊C8—41no—
814C22⋊C8—41no—
815C22⋊C8—41no—
816C22⋊C8—41no—
817C22⋊C8—41no—
818C22⋊C8—41no—
819C22⋊C8—41no—
820C22⋊C8—41no—
821C22⋊C8—41no—
822C22⋊C8—41no—
823C22⋊C8—41no—
824#97—41no—
825#97—41no—
826C4×C8—41no—
827#95—21no—
828#95—21no—
829#95—21no—
830#95—21no—
831#95—21no—
832#95—21no—
833#95—21no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95C2×D411yescharacteristic
855#95C2×D411yescharacteristic
856#95C2×D411yescharacteristic
857#95C2×D411yescharacteristic
858#95C2×D411yescharacteristic
859#95C2×D411yescharacteristic
860C24—21no—
861C24—21no—
862C24—21no—
863C24—42no—
864C24—81no—
865C24—81no—
866C24—81no—
867C24—81no—
868C24—81no—
869C24—81no—
870C24C22×D411yescharacteristic
871C24C22×D411yescharacteristic
872C24C22×D411yescharacteristic
873C24C22×D411yescharacteristic
874#41—82no—
875#41—82no—
876#41—82no—
877#41—82no—
878C2×Q8—21no—
879C2×Q8—21no—
880C2×Q8—21no—
881C2×Q8—21no—
882C2×Q8—21no—
883C2×Q8—21no—
884C2×Q8—21no—
885C2×Q8—21no—
886C2×Q8—21no—
887C2×Q8—21no—
888C2×Q8—21no—
889C2×Q8—41no—
890C2×Q8—41no—
891C2×Q8—41no—
892C2×Q8—42no—
893C2×Q8—42no—
894C2×Q8—42no—
895C2×Q8—42no—
896C2×Q8—81no—
897C2×Q8—81no—
898C2×Q8—81no—
899C2×Q8—81no—
900C2×Q8—81no—
901C2×Q8—82no—
902C2×Q8—82no—
903C2×Q8—82no—
904C2×Q8—82no—
905C2×Q8H(5,𝔽2)12yes—
906C2×D4—22no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—41no—
926C2×D4—41no—
927C2×D4—41no—
928C2×D4—41no—
929C2×D4—41no—
930C2×D4—41no—
931C2×D4—41no—
932C2×D4—41no—
933C2×D4—41no—
934C2×D4—41no—
935C2×D4—41no—
936C2×D4—41no—
937C2×D4—41no—
938C2×D4—41no—
939C2×D4—41no—
940C2×D4—41no—
941C2×D4—41no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—42no—
947C2×D4—42no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—82no—
964C2×D4—82no—
965C2×D4—82no—
966C2×D4—82no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4—81no—
971C2×D4—81no—
972C2×D4—81no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4—81no—
982C2×D4—81no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4—81no—
991C22×C4—21no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—21no—
1023C22×C4—21no—
1024C22×C4—21no—
1025C22×C4—21no—
1026C22×C4—21no—
1027C22×C4—21no—
1028C22×C4—42no—
1029C22×C4—42no—
1030C22×C4—42no—
1031C22×C4—42no—
1032C22×C4—42no—
1033C22×C4—42no—
1034C22×C4—81no—
1035C22×C4—81no—
1036C22×C4—81no—
1037C22×C4—81no—
1038C22×C4—81no—
1039C22×C4—81no—
1040C22×C4C22×D411yescharacteristic
1041C22×C4C22×D411yescharacteristic
1042C22×C4C22×D411yescharacteristic
1043C22×C4C22×D411yescharacteristic
1044C22×C4C22×D411yescharacteristic
1045C22×C4C22×D411yescharacteristic
1046C22×C4C22×D411yescharacteristic
1047C22×C4C22×D411yescharacteristic
1048C22×C4C22×D411yescharacteristic
1049C22×C4C22×D411yescharacteristic
1050C22×C4C2511yescharacteristic
1051SD16—44no—
1052SD16—82no—
1053SD16—82no—
1054SD16—82no—
1055SD16—82no—
1056SD16—82no—
1057M16—82no—
1058C2×C8—21no—
1059C2×C8—21no—
1060C2×C8—21no—
1061C2×C8—21no—
1062C2×C8—21no—
1063C2×C8—21no—
1064C2×C8—21no—
1065C2×C8—21no—
1066C2×C8—21no—
1067C2×C8—21no—
1068C2×C8—21no—
1069C2×C8—21no—
1070C2×C8—21no—
1071C2×C8—21no—
1072C2×C8—21no—
1073C2×C8—21no—
1074C2×C8—21no—
1075C2×C8—21no—
1076C2×C8—21no—
1077C2×C8—21no—
1078C2×C8—21no—
1079C2×C8—21no—
1080C2×C8—21no—
1081C2×C8—21no—
1082C4⋊C4—24no—
1083C4⋊C4—21no—
1084C4⋊C4—21no—
1085C4⋊C4—21no—
1086C4⋊C4—21no—
1087C4⋊C4—21no—
1088C4⋊C4—21no—
1089C4⋊C4—21no—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—21no—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
1097C4⋊C4—21no—
1098C4⋊C4—21no—
1099C4⋊C4—21no—
1100C4⋊C4—21no—
1101C4⋊C4—21no—
1102C4⋊C4—41no—
1103C4⋊C4—41no—
1104C4⋊C4—41no—
1105C4⋊C4—42no—
1106C4⋊C4—42no—
1107C4⋊C4—42no—
1108C4⋊C4—42no—
1109C4⋊C4—42no—
1110C4⋊C4—42no—
1111C4⋊C4—42no—
1112C4⋊C4—42no—
1113C4⋊C4—42no—
1114C4⋊C4—42no—
1115C4⋊C4—81no—
1116C4⋊C4—81no—
1117C4⋊C4—81no—
1118C4⋊C4—81no—
1119C4⋊C4—81no—
1120C4⋊C4H(5,𝔽2)12yes—
1121C4⋊C4H(5,𝔽2)12yes—
1122C4⋊C4H(5,𝔽2)12yes—
1123C22⋊C4—24no—
1124C22⋊C4—24no—
1125C22⋊C4—22no—
1126C22⋊C4—22no—
1127C22⋊C4—41no—
1128C22⋊C4—41no—
1129C22⋊C4—41no—
1130C22⋊C4—41no—
1131C22⋊C4—41no—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—42no—
1151C22⋊C4—42no—
1152C22⋊C4—42no—
1153C22⋊C4—42no—
1154C22⋊C4—42no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C22⋊C4—81no—
1159C22⋊C4—81no—
1160C22⋊C4—81no—
1161C22⋊C4—81no—
1162C22⋊C4—81no—
1163C22⋊C4—81no—
1164C22⋊C4—81no—
1165C22⋊C4—81no—
1166C22⋊C4—81no—
1167C22⋊C4—81no—
1168C22⋊C4—81no—
1169C22⋊C4—81no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C42—24no—
1173C42—21no—
1174C42—21no—
1175C42—21no—
1176C42—21no—
1177C42—21no—
1178C42—21no—
1179C42—42no—
1180C42—42no—
1181C42—42no—
1182C42—42no—
1183C42—42no—
1184C42—81no—
1185C42—81no—
1186C42—81no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—84no—
1237C23—162no—
1238C23—162no—
1239C23—162no—
1240C23—162no—
1241C23—162no—
1242C23—162no—
1243C23C23×D411yescharacteristic
1244Q8—22no—
1245Q8—22no—
1246Q8—41no—
1247Q8—41no—
1248Q8—41no—
1249Q8—41no—
1250Q8—41no—
1251Q8—41no—
1252Q8—82no—
1253Q8—84no—
1254Q8—162no—
1255Q8—162no—
1256D4—44no—
1257D4—41no—
1258D4—41no—
1259D4—41no—
1260D4—41no—
1261D4—41no—
1262D4—41no—
1263D4—41no—
1264D4—41no—
1265D4—41no—
1266D4—41no—
1267D4—41no—
1268D4—41no—
1269D4—82no—
1270D4—82no—
1271D4—82no—
1272D4—82no—
1273D4—82no—
1274D4—84no—
1275D4—162no—
1276D4—162no—
1277D4—162no—
1278D4—162no—
1279D4—162no—
1280D4—162no—
1281D4—162no—
1282D4—162no—
1283D4—162no—
1284D4—162no—
1285D4—162no—
1286D4—162no—
1287D4—162no—
1288D4—162no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—22no—
1301C2×C4—21no—
1302C2×C4—22no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—84no—
1374C2×C4—84no—
1375C2×C4—162no—
1376C2×C4—162no—
1377C2×C4#57712yes—
1378C2×C4C2×H(5,𝔽2)11yescharacteristic
1379C2×C4C2×H(5,𝔽2)11yescharacteristic
1380C2×C4C2×H(5,𝔽2)11yescharacteristic
1381C2×C4C2×H(5,𝔽2)11yescharacteristic
1382C2×C4#58511yescharacteristic
1383C2×C4#58511yescharacteristic
1384C8—41no—
1385C8—41no—
1386C8—41no—
1387C8—41no—
1388C8—41no—
1389C8—41no—
1390C8—41no—
1391C8—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—41no—
1418C22—41no—
1419C22—41no—
1420C22—81no—
1421C22—81no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22—81no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22—81no—
1439C22—81no—
1440C22—81no—
1441C22—168no—
1442C22#348411yescharacteristic
1443C22#348411yescharacteristic
1444C22#348511yescharacteristic
1445C22C2×#57711yescharacteristic
1446C22#358511yescharacteristic
1447C22#358511yescharacteristic
1448C22#358611yescharacteristic
1449C4—22no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—42no—
1457C4—41no—
1458C4—42no—
1459C4—41no—
1460C4—42no—
1461C4—41no—
1462C4—42no—
1463C4—81no—
1464C4—81no—
1465C4—81no—
1466C4—81no—
1467C4—81no—
1468C4—81no—
1469C4—81no—
1470C4—81no—
1471C4—81no—
1472C4#354211yescharacteristic
1473C4#354611yescharacteristic
1474C4#354611yescharacteristic
1475C4#355811yescharacteristic
1476C2—81no—
1477C2—81no—
1478C2—81no—
1479C2—81no—
1480C2—161no—
1481C2—161no—
1482C2—161no—
1483C2#4954411yescharacteristic
1484C2#6161111yescharacteristic
1485C2#6165411yescharacteristic
1486C2#6167311yescharacteristic
1487C2#6168911yescharacteristic
1488C2#6178011yescharacteristic
1489C2#6180511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#42963C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2388 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45114C2semidirect
3. #32064C2semidirect
4. #31855C2semidirect
5. #31769C2semidirect
6. #31191C2semidirect
7. #31047C2semidirect
8. #31040C2semidirect
9. #31004C2semidirect
10. #30730C2semidirect
11. #30630C2semidirect
12. #30527C2semidirect
13. #30516C2semidirect
14. #30424C2semidirect
15. #29898C2semidirect
16. #29603C2semidirect
17. #27352C2semidirect
18. #27226C2semidirect
19. #27168C2semidirect
20. #26808C2semidirect
21. #26647C2semidirect
22. #26248C2semidirect
23. #26224C2semidirect
24. #25569C2semidirect
25. #25559C2semidirect
26. #25552C2semidirect
27. #25165C2semidirect
28. #24133C2semidirect
29. #24015C2semidirect
30. #23926C2semidirect
31. #23313C2semidirect
33. C2×#554C22semidirect
37. C2×#485C22semidirect
40. C2×#482C22semidirect
42. C2×#475C22semidirect
44. C2×#468C22semidirect
48. C2×#448C22semidirect
51. C2×#440C22semidirect
69. #2503C22semidirect
76. #2439C22semidirect
82. #2415C22semidirect
85. #2409C22semidirect
88. #2362C22semidirect
89. #2352C22semidirect
91. Q8×C22⋊C4C22semidirect
93. #2101C22semidirect
95. #2077C22semidirect
97. #2076C22semidirect
101. #2068C22semidirect
104. #2066C22semidirect
105. #2057C22semidirect
106. #2057C22semidirect
111. #2036C22semidirect
113. #2035C22semidirect
118. #2034C22semidirect
122. #2033C22semidirect
123. #2033C22semidirect
124. #2024C22semidirect
138. #2000C22semidirect
139. #2000C22semidirect
140. #2000C22semidirect
141. #1993C22semidirect
142. #1987C22semidirect
149. #1955C22semidirect
150. #1954C22semidirect
151. #1949C22semidirect
152. #1941C22semidirect
154. #1935C22semidirect
155. #1928C22semidirect
156. #1928C22semidirect
157. #1927C22semidirect
160. #1924C22semidirect
161. #1924C22semidirect
162. #1924C22semidirect
164. #1923C22semidirect
165. #1918C22semidirect
166. #1918C22semidirect
171. #1877C22semidirect
174. #1875C22semidirect
178. #1874C22semidirect
179. #1874C22semidirect
182. #1873C22semidirect
184. #1870C22semidirect
185. #1870C22semidirect
186. #1864C22semidirect
187. #1863C22semidirect
190. #1854C22semidirect
191. #1854C22semidirect
192. #1852C22semidirect
193. #1825C22semidirect
194. #1804C22semidirect
195. #1787C22semidirect
200. #1776C22semidirect
201. C4×#103C22semidirect
202. #1736C22semidirect

Maximal subgroups

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

subgroupindex
#451142
#429632
#320642
#318552
#317692
#311912
#310472
#310402
#310042
#307302
#306302
#305272
#305162
#304242
#298982
#296032
#273522
#272262
#271682
#268082
#266472
#262482
#262242
#255692
#255592
#255522
#251652
#241332
#240152
#239262
#233132