Finite Group Databasebeta

← #6767774

Subgroups — #6767774

Order 512.

1987 conjugacy classes of subgroups.

The subgroup lattice has 1488 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#38079C211yesmaximal, characteristic, complemented
2#35225C211yesmaximal, characteristic, complemented
3#32902C211yesmaximal, characteristic, complemented
4#31934C211yesmaximal, characteristic, complemented
5#31858C211yesmaximal, characteristic, complemented
6#31650C211yesmaximal, characteristic, complemented
7#31522C211yesmaximal, characteristic, complemented
8#31011C211yesmaximal, characteristic, complemented
9#30898C211yesmaximal, characteristic, complemented
10#30737C211yesmaximal, characteristic, complemented
11#30446C211yesmaximal, characteristic, complemented
12#30117C211yesmaximal, characteristic, complemented
13#30055C211yesmaximal, characteristic, complemented
14#29570C211yesmaximal, characteristic, complemented
15#29380C211yesmaximal, characteristic, complemented
16#28574C211yesmaximal, characteristic, complemented
17#28343C211yesmaximal, characteristic, complemented
18#28124C211yesmaximal, characteristic, complemented
19#27695C211yesmaximal, characteristic, complemented
20#27266C211yesmaximal, characteristic, complemented
21#25776C211yesmaximal, characteristic, complemented
22#25610C211yesmaximal, characteristic, complemented
23#25531C211yesmaximal, characteristic, complemented
24#24431C211yesmaximal, characteristic, complemented
25#23960C211yesmaximal, characteristic, complemented
26#23947C211yesmaximal, characteristic, complemented
27#23858C211yesmaximal, characteristic, complemented
28#22791C211yesmaximal, characteristic, complemented
29#22274C211yesmaximal, characteristic, complemented
30#22053C211yesmaximal, characteristic, complemented
31C2×#1877C211yesmaximal, characteristic, complemented
32C23×SD16C2211yescharacteristic
33C2×#548C2211yescharacteristic
34C2×#547C2211yescharacteristic
35C2×#542C2211yescharacteristic
36C22×C4×D4C2211yescharacteristic
37C2×#495C2211yescharacteristic
38C2×#495C2211yescharacteristic
39C2×#489C2211yescharacteristic, complemented
40C2×#483C2211yescharacteristic
41C2×#465C2211yescharacteristic
42C2×#465C2211yescharacteristic
43C2×#459C2211yescharacteristic
44C2×#459C2211yescharacteristic
45C2×#452C2211yescharacteristic, complemented
46C2×#449C2211yescharacteristic
47C2×#449C2211yescharacteristic
48C2×#451C2211yescharacteristic
49C2×#447C2211yescharacteristic
50C2×#447C2211yescharacteristic
51C22×#103C2211yescharacteristic
52C22×#102C2211yescharacteristic
53#2856C2211yescharacteristic
54#2849—21no—
55#2848—21no—
56#2710—21no—
57#2710—21no—
58#2692—21no—
59#2692—21no—
60#2640C2211yescharacteristic, complemented
61#2638—21no—
62#2630—21no—
63#2620C2211yescharacteristic, complemented
64#2567C2211yescharacteristic, complemented
65#2544C2211yescharacteristic, complemented
66#2502C2211yescharacteristic, complemented
67#2501C2211yescharacteristic
68#2480—21no—
69#2472—21no—
70#2468—21no—
71#2461—21no—
72#2452C2211yescharacteristic
73#2447C2211yescharacteristic
74#2440C2211yescharacteristic
75#2436C2211yescharacteristic
76#2435C2211yescharacteristic
77#2431C2211yescharacteristic, complemented
78#2430—21no—
79#2430—21no—
80#2427C2211yescharacteristic
81#2425—21no—
82#2425—21no—
83#2422C2211yescharacteristic
84#2417C2211yescharacteristic
85#2408C2211yescharacteristic
86#2326C2211yescharacteristic
87#2326C2211yescharacteristic, complemented
88#2324C2211yescharacteristic
89#2319C2211yescharacteristic
90#2311C2211yescharacteristic, complemented
91C4×C22⋊Q8C2211yescharacteristic
92C2×#391C2211yescharacteristic
93#2290C2211yescharacteristic
94#2099C2211yescharacteristic, complemented
95#2099C2211yescharacteristic, complemented
96#2094C2211yescharacteristic
97#2094C2211yescharacteristic
98#2084C2211yescharacteristic, complemented
99#2072C2211yescharacteristic, complemented
100#2072C2211yescharacteristic, complemented
101#2071C2211yescharacteristic, complemented
102#2066C2211yescharacteristic, complemented
103#2066C2211yescharacteristic, complemented
104#2058C2211yescharacteristic, complemented
105#2056C2211yescharacteristic, complemented
106#2056C2211yescharacteristic, complemented
107#2042C2211yescharacteristic, complemented
108#2042C2211yescharacteristic, complemented
109#2042C2211yescharacteristic, complemented
110#2041C2211yescharacteristic, complemented
111#2035C2211yescharacteristic, complemented
112#2034C2211yescharacteristic, complemented
113#2024C2211yescharacteristic, complemented
114#2024C2211yescharacteristic, complemented
115#2023C2211yescharacteristic
116#2023C2211yescharacteristic
117#2023C2211yescharacteristic, complemented
118#2015C2211yescharacteristic
119#2015C2211yescharacteristic
120#2015C2211yescharacteristic, complemented
121#2014C2211yescharacteristic, complemented
122#2012C2211yescharacteristic
123#2012C2211yescharacteristic
124#2012C2211yescharacteristic
125#2012C2211yescharacteristic
126#2012C2211yescharacteristic
127#2012C2211yescharacteristic
128#2001C2211yescharacteristic, complemented
129#2000C2211yescharacteristic
130#2000C2211yescharacteristic
131#2000C2211yescharacteristic, complemented
132#1999C2211yescharacteristic
133#1999C2211yescharacteristic
134#1990C2211yescharacteristic, complemented
135#1972C2211yescharacteristic
136#1972C2211yescharacteristic
137#1968C2211yescharacteristic
138#1968C2211yescharacteristic
139#1959C2211yescharacteristic
140#1959C2211yescharacteristic
141#1959C2211yescharacteristic, complemented
142#1935C2211yescharacteristic, complemented
143#1935C2211yescharacteristic, complemented
144#1934C2211yescharacteristic, complemented
145#1934C2211yescharacteristic, complemented
146#1927C2211yescharacteristic, complemented
147#1927C2211yescharacteristic, complemented
148#1926C2211yescharacteristic, complemented
149#1926C2211yescharacteristic, complemented
150#1924C2211yescharacteristic, complemented
151#1923C2211yescharacteristic, complemented
152#1917C2211yescharacteristic, complemented
153#1916C2211yescharacteristic, complemented
154#1893C2211yescharacteristic
155#1893C2211yescharacteristic
156#1880C2211yescharacteristic
157#1880C2211yescharacteristic
158#1880C2211yescharacteristic, complemented
159#1880C2211yescharacteristic, complemented
160#1879C2211yescharacteristic
161#1879C2211yescharacteristic
162#1879C2211yescharacteristic
163#1879C2211yescharacteristic
164#1879C2211yescharacteristic
165#1879C2211yescharacteristic
166#1878C2211yescharacteristic, complemented
167#1878C2211yescharacteristic, complemented
168#1878C2211yescharacteristic, complemented
169#1877C2211yescharacteristic
170#1877C2211yescharacteristic
171#1877C2211yescharacteristic
172#1877C2211yescharacteristic
173#1877C2211yescharacteristic
174#1877C2211yescharacteristic
175#1877C2211yescharacteristic
176#1877C2211yescharacteristic
177#1877C2211yescharacteristic, complemented
178#1874C2211yescharacteristic
179#1874C2211yescharacteristic
180#1874C2211yescharacteristic
181#1874C2211yescharacteristic
182#1872C2211yescharacteristic, complemented
183#1869C2211yescharacteristic
184#1869C2211yescharacteristic
185#1865C2211yescharacteristic, complemented
186#1864C2211yescharacteristic, complemented
187#1853C2211yescharacteristic, complemented
188#1840C2211yescharacteristic, complemented
189#1834C2211yescharacteristic, complemented
190#1823C2211yescharacteristic
191#1818C2211yescharacteristic, complemented
192#1802C2211yescharacteristic
193#1802C2211yescharacteristic
194#1797C2211yescharacteristic
195#1788C2211yescharacteristic, complemented
196#1787C2211yescharacteristic
197#1752C2211yescharacteristic
198C8×C22⋊C4C2211yescharacteristic
199#1750C2211yescharacteristic, complemented
200#1746C2211yescharacteristic, complemented
201C2×#340C2211yescharacteristic
202C2×#336C2211yescharacteristic
203C22×#41—21no—
204C22×#41C2311yescharacteristic
205C23×Q8C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C24×C4—21no—
208C22×Q16C2311yescharacteristic
209C22×Q16C2311yescharacteristic
210C22×SD16—24no—
211C22×SD16—42no—
212C22×SD16—42no—
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C23×C8C2311yescharacteristic
224C23×C8C2311yescharacteristic
225#548—42no—
226#548—42no—
227#547—42no—
228#547—42no—
229#542—42no—
230#542—42no—
231C2×C4⋊Q8C2311yescharacteristic
232C2×C4⋊Q8C2311yescharacteristic
233C2×#127C2311yescharacteristic
234C2×#126—21no—
235C2×#124—21no—
236C2×#124—21no—
237C2×#124C2311yescharacteristic
238C2×#124C2311yescharacteristic
239C2×#124C2311yescharacteristic
240C2×#124C2311yescharacteristic
241C2×#124C2311yescharacteristic
242C2×#123—21no—
243C2×#123—21no—
244C2×#123—21no—
245C2×#123—21no—
246C2×#123—21no—
247C2×#123—21no—
248C2×C22⋊Q8—21no—
249C2×C22⋊Q8—21no—
250C2×C22⋊Q8—21no—
251C2×C22⋊Q8—21no—
252C2×C22⋊Q8—21no—
253C2×C22⋊Q8C2311yescharacteristic
254C2×C22⋊Q8C2311yescharacteristic
255C2×C22⋊Q8C2311yescharacteristic
256C2×#121—21no—
257C2×#121—21no—
258C2×#121—21no—
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#120—21no—
265C2×C4×Q8C2311yescharacteristic
266C2×C4×Q8C2311yescharacteristic
267C2×C4×D4—21no—
268C2×C4×D4—21no—
269C2×C4×D4—21no—
270C2×C4×D4—42no—
271C2×C4×D4—42no—
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×#117C2311yescharacteristic
279C22×C4⋊C4C2311yescharacteristic
280C22×C4⋊C4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C22⋊C4—21no—
283C22×C42C2311yescharacteristic
284#495—24no—
285#495—42no—
286#489—42no—
287#483—42no—
288#465—42no—
289#465—42no—
290#459—42no—
291#459—42no—
292#452—42no—
293#451—42no—
294#449—24no—
295#449—42no—
296#447—42no—
297#447—42no—
298C2×#106C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×#106C2311yescharacteristic
301C2×#106C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×#103—42no—
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#103C2311yescharacteristic
309C2×#103C2311yescharacteristic
310C2×#103C2311yescharacteristic
311C2×#103C2311yescharacteristic
312C2×#103C2311yescharacteristic
313C2×#103C2311yescharacteristic
314C2×#103C2311yescharacteristic
315C2×#103C2311yescharacteristic
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#102—42no—
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×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×#97C2311yescharacteristic
345C2×#97C2311yescharacteristic
346C2×C4×C8C2311yescharacteristic
347C2×C4×C8C2311yescharacteristic
348#399—21no—
349#399—21no—
350#398—21no—
351#398—21no—
352#398—21no—
353#398—21no—
354#397—21no—
355#397—21no—
356#397—21no—
357#397—21no—
358#397—21no—
359#397—21no—
360#396—21no—
361#396—21no—
362#396—21no—
363#396—21no—
364#395—21no—
365#395—21no—
366#395—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#394—21no—
374#394—21no—
375#394—21no—
376#393—21no—
377#393—21no—
378#393—21no—
379#393—21no—
380#393—21no—
381#392—21no—
382#392—21no—
383#392—21no—
384#391—21no—
385#391—21no—
386#391C2311yescharacteristic
387#391C2311yescharacteristic
388#391C2311yescharacteristic
389#391C2311yescharacteristic
390#391C2311yescharacteristic
391#391C2311yescharacteristic
392#391C2311yescharacteristic
393#391C2311yescharacteristic
394#390—21no—
395#390—21no—
396#390—21no—
397#390C2311yescharacteristic
398#390C2311yescharacteristic
399#390C2311yescharacteristic
400#390C2311yescharacteristic
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#389—21no—
406#389—21no—
407#389C2311yescharacteristic
408#389C2311yescharacteristic
409#389C2311yescharacteristic
410#389C2311yescharacteristic
411#388—21no—
412#388—21no—
413#388—21no—
414#388—21no—
415#388—21no—
416#388—21no—
417#388—21no—
418#388D411yescharacteristic
419#388D411yescharacteristic
420#387—21no—
421#387D411yescharacteristic
422#387D411yescharacteristic
423#386—21no—
424#386—21no—
425#386—21no—
426#386—21no—
427#386—21no—
428#386—21no—
429#386—21no—
430#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386D411yescharacteristic
435#386D411yescharacteristic
436#385—21no—
437#385—21no—
438#385—21no—
439#385—21no—
440#385—21no—
441#385—21no—
442#385—21no—
443#385—21no—
444#385—21no—
445#385—21no—
446#385—21no—
447#385—21no—
448#385D411yescharacteristic
449#385D411yescharacteristic
450#384C2311yescharacteristic
451#384C2311yescharacteristic
452#384C2311yescharacteristic
453#384C2311yescharacteristic
454#381—21no—
455#381—21no—
456#380—21no—
457#380—21no—
458#380—21no—
459#380—21no—
460#380—21no—
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#379—21no—
464#379—21no—
465#379—21no—
466C4×C4⋊C4—21no—
467C4×C4⋊C4C2311yescharacteristic
468C4×C4⋊C4C2311yescharacteristic
469C4×C22⋊C4—21no—
470C4×C22⋊C4C2311yescharacteristic
471C4×C22⋊C4C2311yescharacteristic
472#376C2311yescharacteristic
473C2×#95—21no—
474C2×#95—21no—
475#340C2311yescharacteristic
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#336C2311yescharacteristic
492#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505C25—21no—
506C2×#41—22no—
507C2×#41—41no—
508C2×#41—41no—
509C2×#41—41no—
510C2×#41—41no—
511C2×#41—41no—
512C2×#41—44no—
513C2×#41—82no—
514C2×#41—82no—
515C22×Q8—21no—
516C22×Q8—21no—
517C22×Q8—21no—
518C22×Q8—22no—
519C22×Q8—22no—
520C22×Q8—22no—
521C22×Q8—41no—
522C22×Q8—41no—
523C22×Q8—41no—
524C22×Q8C2411yescharacteristic
525C22×Q8C2411yescharacteristic
526C22×Q8C2411yescharacteristic
527C22×D4—22no—
528C22×D4—22no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—22no—
539C22×D4—22no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4C2×D411yescharacteristic
543C22×D4C2411yescharacteristic
544C22×D4C2411yescharacteristic
545C22×D4C2411yescharacteristic
546C22×D4C2411yescharacteristic
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—44no—
558C23×C4—82no—
559C23×C4—82no—
560C23×C4C2×D411yescharacteristic
561C23×C4C2×D411yescharacteristic
562C23×C4C2411yescharacteristic
563C23×C4C2411yescharacteristic
564C2×Q16—22no—
565C2×Q16—41no—
566C2×Q16—41no—
567C2×Q16—41no—
568C2×Q16—41no—
569C2×Q16—41no—
570C2×SD16—22no—
571C2×SD16—22no—
572C2×SD16—22no—
573C2×SD16—22no—
574C2×SD16—22no—
575C2×SD16—22no—
576C2×SD16—41no—
577C2×SD16—41no—
578C2×SD16—41no—
579C2×SD16—41no—
580C2×SD16—41no—
581C2×SD16—41no—
582C2×SD16—41no—
583C2×SD16—41no—
584C2×SD16—41no—
585C2×SD16—41no—
586C2×SD16—41no—
587C2×SD16—416no—
588C2×SD16#4114yescomplemented
589C2×D8—22no—
590C2×D8—22no—
591C2×D8—22no—
592C2×D8—22no—
593C2×D8—41no—
594C2×D8—41no—
595C2×D8—41no—
596C2×D8—41no—
597C2×D8—41no—
598C2×D8—41no—
599C2×D8—41no—
600C2×D8—41no—
601C22×C8—22no—
602C22×C8—22no—
603C22×C8—22no—
604C22×C8—41no—
605C22×C8—41no—
606C22×C8—41no—
607C22×C8C2411yescharacteristic
608C22×C8C2411yescharacteristic
609C22×C8C2411yescharacteristic
610C22×C8C2411yescharacteristic
611C22×C8C2411yescharacteristic
612C22×C8C2411yescharacteristic
613C22×C8C2411yescharacteristic
614C22×C8C2411yescharacteristic
615C4⋊Q8—22no—
616C4⋊Q8—41no—
617C4⋊Q8—41no—
618C4⋊Q8—41no—
619#127—41no—
620#127—41no—
621#126—44no—
622#124—22no—
623#124—22no—
624#124—22no—
625#124—41no—
626#124—41no—
627#124—41no—
628#124—41no—
629#124—41no—
630#124—41no—
631#124—41no—
632#124—44no—
633#124—44no—
634#123—44no—
635#123—44no—
636#123—44no—
637#123—82no—
638#123—82no—
639#123—82no—
640C22⋊Q8—22no—
641C22⋊Q8—22no—
642C22⋊Q8—22no—
643C22⋊Q8—41no—
644C22⋊Q8—41no—
645C22⋊Q8—41no—
646C22⋊Q8—44no—
647C22⋊Q8—44no—
648C22⋊Q8—44no—
649C22⋊Q8—82no—
650C22⋊Q8—82no—
651#121—22no—
652#121—22no—
653#121—22no—
654#121—22no—
655#121—22no—
656#121—22no—
657#121—41no—
658#121—41no—
659#121—41no—
660#121—41no—
661#121—44no—
662#121—82no—
663#121—82no—
664#120—82no—
665C4×Q8—41no—
666C4×Q8—41no—
667C4×Q8—41no—
668C4×Q8—41no—
669C4×D4—22no—
670C4×D4—22no—
671C4×D4—22no—
672C4×D4—22no—
673C4×D4—22no—
674C4×D4—22no—
675C4×D4—41no—
676C4×D4—41no—
677C4×D4—41no—
678C4×D4—41no—
679C4×D4—41no—
680C4×D4—41no—
681C4×D4—44no—
682C4×D4—44no—
683C4×D4—44no—
684#117—41no—
685#117—41no—
686C2×C4⋊C4—22no—
687C2×C4⋊C4—22no—
688C2×C4⋊C4—22no—
689C2×C4⋊C4—21no—
690C2×C4⋊C4—21no—
691C2×C4⋊C4—21no—
692C2×C4⋊C4—21no—
693C2×C4⋊C4—21no—
694C2×C4⋊C4—21no—
695C2×C4⋊C4—21no—
696C2×C4⋊C4—21no—
697C2×C4⋊C4—21no—
698C2×C4⋊C4—21no—
699C2×C4⋊C4—21no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—21no—
702C2×C4⋊C4—21no—
703C2×C4⋊C4—21no—
704C2×C4⋊C4—21no—
705C2×C4⋊C4—21no—
706C2×C4⋊C4—21no—
707C2×C4⋊C4—21no—
708C2×C4⋊C4—21no—
709C2×C4⋊C4—21no—
710C2×C4⋊C4—21no—
711C2×C4⋊C4—41no—
712C2×C4⋊C4—41no—
713C2×C4⋊C4—41no—
714C2×C4⋊C4C2×D411yescharacteristic
715C2×C4⋊C4C2×D411yescharacteristic
716C2×C4⋊C4C2×D411yescharacteristic
717C2×C4⋊C4C2×D411yescharacteristic
718C2×C4⋊C4C2×D411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
720C2×C4⋊C4C2411yescharacteristic
721C2×C4⋊C4C2411yescharacteristic
722C2×C4⋊C4C2411yescharacteristic
723C2×C4⋊C4C2411yescharacteristic
724C2×C4⋊C4C2411yescharacteristic
725C2×C4⋊C4C2411yescharacteristic
726C2×C4⋊C4C2411yescharacteristic
727C2×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—44no—
770C2×C22⋊C4C2×D411yescharacteristic
771C2×C22⋊C4C2×D411yescharacteristic
772C2×C22⋊C4C2×D411yescharacteristic
773C2×C22⋊C4C2×D411yescharacteristic
774C2×C22⋊C4C2×D411yescharacteristic
775C2×C22⋊C4C2×D411yescharacteristic
776C2×C22⋊C4C2×D411yescharacteristic
777C2×C22⋊C4C2×D411yescharacteristic
778C2×C42—21no—
779C2×C42—21no—
780C2×C42—21no—
781C2×C42—41no—
782C2×C42—41no—
783C2×C42C2×D411yescharacteristic
784C2×C42C2×D411yescharacteristic
785C2×C42C2411yescharacteristic
786C2×C42C2411yescharacteristic
787C2×C42C2411yescharacteristic
788C2×C42C2411yescharacteristic
789C2×C42C2411yescharacteristic
790#106—41no—
791#106—41no—
792#106—41no—
793#106—41no—
794C4⋊C8—41no—
795C4⋊C8—41no—
796#103—22no—
797#103—22no—
798#103—22no—
799#103—41no—
800#103—41no—
801#103—41no—
802#103—41no—
803#103—41no—
804#103—41no—
805#103—41no—
806#103—41no—
807#103—41no—
808#103—41no—
809#103—41no—
810#102—22no—
811#102—22no—
812#102—22no—
813#102—41no—
814#102—41no—
815#102—41no—
816#102—41no—
817#102—41no—
818#102—41no—
819#102—41no—
820#102—41no—
821#102—41no—
822#102—41no—
823#102—41no—
824#102—41no—
825#102—41no—
826#102—41no—
827#102—41no—
828C22⋊C8—22no—
829C22⋊C8—22no—
830C22⋊C8—22no—
831C22⋊C8—41no—
832C22⋊C8—41no—
833C22⋊C8—41no—
834#97—41no—
835#97—41no—
836C4×C8—22no—
837C4×C8—41no—
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#95—21no—
855#95—21no—
856#95—21no—
857#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95C2×D411yescharacteristic
862#95C2×D411yescharacteristic
863#95C2×D411yescharacteristic
864#95C2×D411yescharacteristic
865#95C2×D411yescharacteristic
866#95C2×D411yescharacteristic
867#95C2×D411yescharacteristic
868#95C2×D411yescharacteristic
869#95C2×D411yescharacteristic
870#95C2×D411yescharacteristic
871C24—21no—
872C24—21no—
873C24—21no—
874C24—21no—
875C24—42no—
876C24—42no—
877C24—42no—
878C24—42no—
879C24—42no—
880C24—81no—
881C24—81no—
882C24C22×D411yescharacteristic
883C24C22×D411yescharacteristic
884#41—82no—
885#41—82no—
886#41—82no—
887#41—82no—
888#41—816no—
889C2×Q8—21no—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—21no—
895C2×Q8—21no—
896C2×Q8—21no—
897C2×Q8—21no—
898C2×Q8—21no—
899C2×Q8—21no—
900C2×Q8—21no—
901C2×Q8—21no—
902C2×Q8—21no—
903C2×Q8—21no—
904C2×Q8—21no—
905C2×Q8—21no—
906C2×Q8—42no—
907C2×Q8—42no—
908C2×Q8—42no—
909C2×Q8—44no—
910C2×Q8—44no—
911C2×Q8—42no—
912C2×Q8—81no—
913C2×Q8—81no—
914C2×Q8—81no—
915C2×Q8—81no—
916C2×Q8—81no—
917C2×Q8—82no—
918C2×Q8—82no—
919C2×Q8C2×#4112yes—
920C2×D4—28no—
921C2×D4—22no—
922C2×D4—22no—
923C2×D4—22no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—21no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—21no—
939C2×D4—21no—
940C2×D4—21no—
941C2×D4—21no—
942C2×D4—21no—
943C2×D4—21no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—44no—
947C2×D4—44no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—44no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—42no—
960C2×D4—42no—
961C2×D4—42no—
962C2×D4—42no—
963C2×D4—42no—
964C2×D4—42no—
965C2×D4—81no—
966C2×D4—81no—
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×D4C2×#4112yes—
977C2×D4H(5,𝔽2)12yes—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—22no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—24no—
986C22×C4—22no—
987C22×C4—22no—
988C22×C4—21no—
989C22×C4—21no—
990C22×C4—21no—
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—41no—
1005C22×C4—41no—
1006C22×C4—41no—
1007C22×C4—42no—
1008C22×C4—42no—
1009C22×C4—42no—
1010C22×C4—42no—
1011C22×C4—42no—
1012C22×C4—42no—
1013C22×C4—42no—
1014C22×C4—42no—
1015C22×C4—42no—
1016C22×C4—42no—
1017C22×C4—42no—
1018C22×C4—42no—
1019C22×C4—42no—
1020C22×C4—42no—
1021C22×C4—42no—
1022C22×C4—42no—
1023C22×C4—81no—
1024C22×C4—81no—
1025C22×C4—81no—
1026C22×C4—81no—
1027C22×C4—81no—
1028C22×C4—81no—
1029C22×C4—81no—
1030C22×C4—81no—
1031C22×C4—81no—
1032C22×C4—81no—
1033C22×C4—81no—
1034C22×C4—81no—
1035C22×C4—81no—
1036C22×C4—816no—
1037C22×C4C22×D411yescharacteristic
1038C22×C4C22×D411yescharacteristic
1039C22×C4C22×D411yescharacteristic
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×C4H(5,𝔽2)12yes—
1050C22×C4H(5,𝔽2)12yes—
1051C22×C4C2511yescharacteristic
1052Q16—82no—
1053Q16—82no—
1054SD16—44no—
1055SD16—44no—
1056SD16—44no—
1057SD16—44no—
1058SD16—82no—
1059SD16—82no—
1060D8—82no—
1061D8—82no—
1062D8—82no—
1063D8—82no—
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—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—44no—
1088C2×C8—82no—
1089C2×C8C2×#4112yes—
1090C4⋊C4—22no—
1091C4⋊C4—22no—
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—21no—
1103C4⋊C4—21no—
1104C4⋊C4—21no—
1105C4⋊C4—21no—
1106C4⋊C4—21no—
1107C4⋊C4—21no—
1108C4⋊C4—21no—
1109C4⋊C4—41no—
1110C4⋊C4—41no—
1111C4⋊C4—41no—
1112C4⋊C4—42no—
1113C4⋊C4—42no—
1114C4⋊C4—42no—
1115C4⋊C4—42no—
1116C4⋊C4—42no—
1117C4⋊C4—42no—
1118C4⋊C4—42no—
1119C4⋊C4—42no—
1120C4⋊C4—42no—
1121C4⋊C4—42no—
1122C4⋊C4—42no—
1123C4⋊C4—81no—
1124C4⋊C4—81no—
1125C4⋊C4—81no—
1126C4⋊C4—81no—
1127C4⋊C4—81no—
1128C4⋊C4—81no—
1129C4⋊C4—81no—
1130C4⋊C4—81no—
1131C4⋊C4—81no—
1132C4⋊C4—81no—
1133C4⋊C4—81no—
1134C4⋊C4H(5,𝔽2)12yes—
1135C22⋊C4—24no—
1136C22⋊C4—22no—
1137C22⋊C4—22no—
1138C22⋊C4—22no—
1139C22⋊C4—22no—
1140C22⋊C4—22no—
1141C22⋊C4—41no—
1142C22⋊C4—41no—
1143C22⋊C4—41no—
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—42no—
1156C22⋊C4—42no—
1157C22⋊C4—42no—
1158C22⋊C4—42no—
1159C22⋊C4—42no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
1162C22⋊C4—42no—
1163C22⋊C4—42no—
1164C22⋊C4—42no—
1165C22⋊C4—81no—
1166C22⋊C4—81no—
1167C22⋊C4—81no—
1168C22⋊C4—81no—
1169C22⋊C4—81no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C22⋊C4—81no—
1173C22⋊C4—81no—
1174C22⋊C4—81no—
1175C22⋊C4—81no—
1176C22⋊C4—81no—
1177C22⋊C4—81no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C22⋊C4—81no—
1181C22⋊C4—81no—
1182C22⋊C4—81no—
1183C22⋊C4—81no—
1184C42—21no—
1185C42—21no—
1186C42—21no—
1187C42—21no—
1188C42—21no—
1189C42—21no—
1190C42—21no—
1191C42—21no—
1192C42—21no—
1193C42—21no—
1194C42—41no—
1195C42—41no—
1196C42—42no—
1197C42—42no—
1198C42—81no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—22no—
1206C23—21no—
1207C23—22no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—48no—
1213C23—41no—
1214C23—41no—
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—41no—
1237C23—41no—
1238C23—41no—
1239C23—84no—
1240C23—84no—
1241C23—84no—
1242C23—84no—
1243C23—84no—
1244C23—84no—
1245C23#53512yes—
1246C23#57612yes—
1247C23#57712yes—
1248C23C23×D411yescharacteristic
1249Q8—22no—
1250Q8—22no—
1251Q8—41no—
1252Q8—41no—
1253Q8—41no—
1254Q8—41no—
1255Q8—41no—
1256Q8—41no—
1257Q8—41no—
1258Q8—41no—
1259Q8—41no—
1260Q8—41no—
1261Q8—84no—
1262Q8—84no—
1263Q8—162no—
1264D4—22no—
1265D4—22no—
1266D4—22no—
1267D4—22no—
1268D4—48no—
1269D4—44no—
1270D4—41no—
1271D4—41no—
1272D4—41no—
1273D4—41no—
1274D4—41no—
1275D4—41no—
1276D4—41no—
1277D4—41no—
1278D4—41no—
1279D4—41no—
1280D4—41no—
1281D4—41no—
1282D4—84no—
1283D4—84no—
1284D4—84no—
1285D4—84no—
1286D4—162no—
1287D4—162no—
1288D4—162no—
1289D4—162no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—22no—
1295C2×C4—22no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—22no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—22no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—44no—
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—84no—
1370C2×C4—84no—
1371C2×C4—82no—
1372C2×C4—84no—
1373C2×C4—84no—
1374C2×C4—84no—
1375C2×C4—84no—
1376C2×C4—84no—
1377C2×C4—84no—
1378C2×C4—84no—
1379C2×C4—84no—
1380C2×C4#53512yes—
1381C2×C4#57712yes—
1382C2×C4C22×#4111yescharacteristic
1383C2×C4C2×H(5,𝔽2)11yescharacteristic
1384C2×C4C2×H(5,𝔽2)11yescharacteristic
1385C2×C4C2×H(5,𝔽2)11yescharacteristic
1386C2×C4C2×H(5,𝔽2)11yescharacteristic
1387C2×C4#58511yescharacteristic
1388C8—22no—
1389C8—41no—
1390C8—41no—
1391C8—41no—
1392C8—41no—
1393C8—41no—
1394C8—41no—
1395C8—41no—
1396C22—22no—
1397C22—22no—
1398C22—22no—
1399C22—22no—
1400C22—22no—
1401C22—22no—
1402C22—41no—
1403C22—42no—
1404C22—41no—
1405C22—42no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—42no—
1410C22—42no—
1411C22—41no—
1412C22—41no—
1413C22—42no—
1414C22—42no—
1415C22—816no—
1416C22—81no—
1417C22—81no—
1418C22—81no—
1419C22—81no—
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#322414yes—
1439C22C2×#53511yescharacteristic
1440C22D4×#4111yescharacteristic
1441C22#348411yescharacteristic
1442C22C2×#57611yescharacteristic
1443C22C2×#57711yescharacteristic
1444C22C2×#57711yescharacteristic
1445C22#358611yescharacteristic
1446C4—22no—
1447C4—22no—
1448C4—41no—
1449C4—41no—
1450C4—41no—
1451C4—41no—
1452C4—41no—
1453C4—41no—
1454C4—41no—
1455C4—41no—
1456C4—41no—
1457C4—42no—
1458C4—41no—
1459C4—42no—
1460C4—81no—
1461C4—81no—
1462C4—81no—
1463C4—81no—
1464C4—81no—
1465C4—81no—
1466C4—81no—
1467C4—81no—
1468C4—81no—
1469C4—81no—
1470C4#349011yescharacteristic
1471C4#351911yescharacteristic
1472C4#353411yescharacteristic
1473C4#354211yescharacteristic
1474C2—24no—
1475C2—81no—
1476C2—82no—
1477C2—82no—
1478C2—161no—
1479C2—161no—
1480C2#3835811yescharacteristic
1481C2C2×#322411yescharacteristic
1482C2#6083611yescharacteristic
1483C2#6148311yescharacteristic
1484C2#6152311yescharacteristic
1485C2#6162011yescharacteristic
1486C2#6162911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2290 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #38079C2semidirect
2. #35225C2semidirect
3. #32902C2semidirect
4. #31934C2semidirect
5. #31858C2semidirect
6. #31650C2semidirect
7. #31522C2semidirect
8. #31011C2semidirect
9. #30898C2semidirect
10. #30737C2semidirect
11. #30446C2semidirect
12. #30117C2semidirect
13. #30055C2semidirect
14. #29570C2semidirect
15. #29380C2semidirect
16. #28574C2semidirect
17. #28343C2semidirect
18. #28124C2semidirect
19. #27695C2semidirect
20. #27266C2semidirect
21. #25776C2semidirect
22. #25610C2semidirect
23. #25531C2semidirect
24. #24431C2semidirect
25. #23960C2semidirect
26. #23947C2semidirect
27. #23858C2semidirect
28. #22791C2semidirect
29. #22274C2semidirect
30. #22053C2semidirect
31. C2×#1877C2semidirect
39. C2×#489C22semidirect
45. C2×#452C22semidirect
60. #2640C22semidirect
63. #2620C22semidirect
64. #2567C22semidirect
65. #2544C22semidirect
66. #2502C22semidirect
77. #2431C22semidirect
87. #2326C22semidirect
90. #2311C22semidirect
94. #2099C22semidirect
95. #2099C22semidirect
98. #2084C22semidirect
99. #2072C22semidirect
100. #2072C22semidirect
101. #2071C22semidirect
102. #2066C22semidirect
103. #2066C22semidirect
104. #2058C22semidirect
105. #2056C22semidirect
106. #2056C22semidirect
107. #2042C22semidirect
108. #2042C22semidirect
109. #2042C22semidirect
110. #2041C22semidirect
111. #2035C22semidirect
112. #2034C22semidirect
113. #2024C22semidirect
114. #2024C22semidirect
117. #2023C22semidirect
120. #2015C22semidirect
121. #2014C22semidirect
128. #2001C22semidirect
131. #2000C22semidirect
134. #1990C22semidirect
141. #1959C22semidirect
142. #1935C22semidirect
143. #1935C22semidirect
144. #1934C22semidirect
145. #1934C22semidirect
146. #1927C22semidirect
147. #1927C22semidirect
148. #1926C22semidirect
149. #1926C22semidirect
150. #1924C22semidirect
151. #1923C22semidirect
152. #1917C22semidirect
153. #1916C22semidirect
158. #1880C22semidirect
159. #1880C22semidirect
166. #1878C22semidirect
167. #1878C22semidirect
168. #1878C22semidirect
177. #1877C22semidirect
182. #1872C22semidirect
185. #1865C22semidirect
186. #1864C22semidirect
187. #1853C22semidirect
188. #1840C22semidirect
189. #1834C22semidirect
191. #1818C22semidirect
195. #1788C22semidirect
199. #1750C22semidirect
200. #1746C22semidirect
588. C2×SD16#41semidirect

Maximal subgroups

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

subgroupindex
#380792
#352252
#329022
#319342
#318582
#316502
#315222
#310112
#308982
#307372
#304462
#301172
#300552
#295702
#293802
#285742
#283432
#281242
#276952
#272662
#257762
#256102
#255312
#244312
#239602
#239472
#238582
#227912
#222742
#220532
C2×#18772