Finite Group Databasebeta

← #7337223

Subgroups — #7337223

Order 512.

1756 conjugacy classes of subgroups.

The subgroup lattice has 1479 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52977C211yesmaximal, characteristic, complemented
2#45289C211yesmaximal, characteristic, complemented
3#32176C211yesmaximal, characteristic, complemented
4#31916C211yesmaximal, characteristic, complemented
5#31036C211yesmaximal, characteristic, complemented
6#30998C211yesmaximal, characteristic, complemented
7#30877C211yesmaximal, characteristic, complemented
8#30762C211yesmaximal, characteristic, complemented
9#30704C211yesmaximal, characteristic, complemented
10#30595C211yesmaximal, characteristic, complemented
11#30527C211yesmaximal, characteristic, complemented
12#30461C211yesmaximal, characteristic, complemented
13#30457C211yesmaximal, characteristic, complemented
14#30452C211yesmaximal, characteristic, complemented
15#29722C211yesmaximal, characteristic, complemented
16#29677C211yesmaximal, characteristic, complemented
17#29085C211yesmaximal, characteristic, complemented
18#28986C211yesmaximal, characteristic, complemented
19#28468C211yesmaximal, characteristic, complemented
20#28324C211yesmaximal, characteristic, complemented
21#27090C211yesmaximal, characteristic, complemented
22#26953C211yesmaximal, characteristic, complemented
23#26630C211yesmaximal, characteristic, complemented
24#25783C211yesmaximal, characteristic, complemented
25#25766C211yesmaximal, characteristic, complemented
26#25614C211yesmaximal, characteristic, complemented
27#25383C211yesmaximal, characteristic, complemented
28#24898C211yesmaximal, characteristic, complemented
29#24357C211yesmaximal, characteristic, complemented
30#23855C211yesmaximal, characteristic, complemented
31#22372C211yesmaximal, characteristic, complemented
32C23×SD16C2211yescharacteristic
33C2×D4×Q8C2211yescharacteristic
34C2×#542C2211yescharacteristic, complemented
35C2×#497C2211yescharacteristic, complemented
36C2×#496C2211yescharacteristic
37C2×#496C2211yescharacteristic
38C2×#495C2211yescharacteristic
39C2×#486C2211yescharacteristic
40C2×#485C2211yescharacteristic, complemented
41C2×#482C2211yescharacteristic
42C2×#466C2211yescharacteristic
43C2×#464C2211yescharacteristic
44C2×#464C2211yescharacteristic
45C2×#464C2211yescharacteristic, complemented
46C2×#464C2211yescharacteristic, complemented
47C2×#463C2211yescharacteristic
48C2×#463C2211yescharacteristic, complemented
49C2×#451C2211yescharacteristic
50C2×#451C2211yescharacteristic, complemented
51C2×#448C2211yescharacteristic
52C2×#448C2211yescharacteristic
53C2×#448C2211yescharacteristic
54C2×#448C2211yescharacteristic, complemented
55C2×#450C2211yescharacteristic
56C2×#447C2211yescharacteristic
57C2×C4×SD16C2211yescharacteristic, complemented
58#2829—21no—
59#2828—21no—
60#2826—21no—
61#2812—21no—
62#2716—21no—
63#2714—21no—
64#2700—21no—
65#2697—21no—
66#2692—21no—
67#2687—21no—
68#2685—21no—
69#2678—21no—
70#2620C2211yescharacteristic
71#2619C2211yescharacteristic
72#2560—21no—
73#2548C2211yescharacteristic
74#2545C2211yescharacteristic, complemented
75#2544C2211yescharacteristic
76#2540C2211yescharacteristic
77#2513C2211yescharacteristic
78#2512C2211yescharacteristic
79#2492—21no—
80#2492C2211yescharacteristic
81#2459—21no—
82#2457—21no—
83#2451C2211yescharacteristic, complemented
84#2446C2211yescharacteristic, complemented
85#2436C2211yescharacteristic
86#2436C2211yescharacteristic, complemented
87#2435C2211yescharacteristic
88#2433C2211yescharacteristic
89#2428C2211yescharacteristic
90#2427C2211yescharacteristic
91#2426C2211yescharacteristic
92#2422C2211yescharacteristic
93#2421C2211yescharacteristic
94#2414C2211yescharacteristic
95#2408C2211yescharacteristic
96#2395C2211yescharacteristic
97#2367C2211yescharacteristic, complemented
98#2362C2211yescharacteristic, complemented
99Q8×C22⋊C4C2211yescharacteristic
100#2310C2211yescharacteristic, complemented
101#2096C2211yescharacteristic, complemented
102#2095C2211yescharacteristic, complemented
103#2087C2211yescharacteristic, complemented
104#2077C2211yescharacteristic
105#2074C2211yescharacteristic, complemented
106#2074C2211yescharacteristic, complemented
107#2068C2211yescharacteristic, complemented
108#2067C2211yescharacteristic
109#2055C2211yescharacteristic
110#2055C2211yescharacteristic
111#2055C2211yescharacteristic
112#2055C2211yescharacteristic
113#2055C2211yescharacteristic, complemented
114#2055C2211yescharacteristic, complemented
115#2054C2211yescharacteristic
116#2042C2211yescharacteristic
117#2042C2211yescharacteristic, complemented
118#2042C2211yescharacteristic, complemented
119#2042C2211yescharacteristic, complemented
120#2034C2211yescharacteristic
121#2033C2211yescharacteristic
122#2024C2211yescharacteristic, complemented
123#2023C2211yescharacteristic
124#2015C2211yescharacteristic
125#2015C2211yescharacteristic
126#2015C2211yescharacteristic
127#2015C2211yescharacteristic, complemented
128#2014C2211yescharacteristic
129#2014C2211yescharacteristic
130#2014C2211yescharacteristic
131#2014C2211yescharacteristic
132#2013C2211yescharacteristic
133#2013C2211yescharacteristic
134#2012C2211yescharacteristic
135#2012C2211yescharacteristic
136#2012C2211yescharacteristic
137#2012C2211yescharacteristic, complemented
138#2001C2211yescharacteristic
139#2001C2211yescharacteristic, complemented
140#2000C2211yescharacteristic
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic, complemented
145#2000C2211yescharacteristic, complemented
146#1999C2211yescharacteristic
147#1999C2211yescharacteristic
148#1999C2211yescharacteristic, complemented
149#1993C2211yescharacteristic, complemented
150#1982C2211yescharacteristic
151#1981C2211yescharacteristic, complemented
152#1973C2211yescharacteristic
153#1973C2211yescharacteristic
154#1972C2211yescharacteristic
155#1971C2211yescharacteristic, complemented
156#1969C2211yescharacteristic, complemented
157#1968C2211yescharacteristic
158#1958C2211yescharacteristic, complemented
159#1955C2211yescharacteristic
160#1940C2211yescharacteristic, complemented
161#1936C2211yescharacteristic
162#1935C2211yescharacteristic, complemented
163#1934C2211yescharacteristic
164#1933C2211yescharacteristic, complemented
165#1926C2211yescharacteristic
166#1926C2211yescharacteristic, complemented
167#1924C2211yescharacteristic, complemented
168#1923C2211yescharacteristic
169#1923C2211yescharacteristic
170#1923C2211yescharacteristic, complemented
171#1920C2211yescharacteristic, complemented
172#1918C2211yescharacteristic, complemented
173#1917C2211yescharacteristic, complemented
174#1916C2211yescharacteristic, complemented
175#1892C2211yescharacteristic
176#1892C2211yescharacteristic
177#1880C2211yescharacteristic
178#1880C2211yescharacteristic
179#1880C2211yescharacteristic
180#1880C2211yescharacteristic
181#1880C2211yescharacteristic, complemented
182#1879C2211yescharacteristic
183#1879C2211yescharacteristic, complemented
184#1878C2211yescharacteristic, complemented
185#1878C2211yescharacteristic, complemented
186#1877C2211yescharacteristic, complemented
187#1875C2211yescharacteristic
188#1875C2211yescharacteristic, complemented
189#1869C2211yescharacteristic
190#1865C2211yescharacteristic, complemented
191#1862C2211yescharacteristic, complemented
192#1850C2211yescharacteristic
193#1803C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1787C2211yescharacteristic
197#1786C2211yescharacteristic
198#1770C2211yescharacteristic, complemented
199#1763C2211yescharacteristic, complemented
200#1763C2211yescharacteristic, complemented
201#1752C2211yescharacteristic
202#1750C2211yescharacteristic, complemented
203C23×Q8C2311yescharacteristic
204C23×Q8C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C22×Q16C2311yescharacteristic
207C22×Q16C2311yescharacteristic
208C22×Q16C2311yescharacteristic
209C22×SD16—42no—
210C22×SD16—42no—
211C22×SD16—42no—
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×SD16C2311yescharacteristic
220C22×SD16C2311yescharacteristic
221C22×SD16C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C23×C8C2311yescharacteristic
226D4×Q8—42no—
227D4×Q8—42no—
228#542—42no—
229#542—42no—
230C2×C4⋊Q8—21no—
231C2×C4⋊Q8C2311yescharacteristic
232C2×C4⋊Q8C2311yescharacteristic
233C2×#127C2311yescharacteristic
234C2×#127C2311yescharacteristic
235C2×#126—21no—
236C2×#126—21no—
237C2×#124—21no—
238C2×#124C2311yescharacteristic
239C2×#124C2311yescharacteristic
240C2×#124C2311yescharacteristic
241C2×#124C2311yescharacteristic
242C2×#124C2311yescharacteristic
243C2×#124C2311yescharacteristic
244C2×#123—21no—
245C2×#123—21no—
246C2×C22⋊Q8—21no—
247C2×C22⋊Q8—21no—
248C2×C22⋊Q8—21no—
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×C22⋊Q8C2311yescharacteristic
253C2×#121—21no—
254C2×#121C2311yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#120—21no—
261C2×#120—21no—
262C2×#120—21no—
263C2×C4×Q8C2311yescharacteristic
264C2×C4×Q8C2311yescharacteristic
265C2×C4×Q8C2311yescharacteristic
266C2×C4×Q8C2311yescharacteristic
267C2×C4×D4—21no—
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×#117C2311yescharacteristic
272C2×#117C2311yescharacteristic
273#497—42no—
274#496—42no—
275#496—42no—
276#495—42no—
277#486—42no—
278#485—42no—
279#482—42no—
280#466—42no—
281#464—42no—
282#464—42no—
283#464—42no—
284#464—42no—
285#463—42no—
286#463—42no—
287#451—42no—
288#451—42no—
289#450—42no—
290#448—42no—
291#448—42no—
292#448—42no—
293#448—42no—
294#447—42no—
295C4×SD16—42no—
296C2×#107C2311yescharacteristic
297C2×#107C2311yescharacteristic
298C2×#106C2311yescharacteristic
299C2×#106C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×C4⋊C8C2311yescharacteristic
304C2×C4⋊C8C2311yescharacteristic
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×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
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×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C22⋊C8C2311yescharacteristic
343C2×C22⋊C8C2311yescharacteristic
344C2×#97C2311yescharacteristic
345C2×#97C2311yescharacteristic
346C2×#97C2311yescharacteristic
347C2×C4×C8C2311yescharacteristic
348C2×C4×C8C2311yescharacteristic
349#400—21no—
350#400—21no—
351#400—21no—
352#400D411yescharacteristic
353#399—21no—
354#399D411yescharacteristic
355#398—21no—
356#398—21no—
357#398D411yescharacteristic
358#397—21no—
359#397—21no—
360#397—21no—
361#397—21no—
362#397—21no—
363#397—21no—
364#397D411yescharacteristic
365#397D411yescharacteristic
366#397D411yescharacteristic
367#396—21no—
368#396—21no—
369#396—21no—
370#396—21no—
371#396—21no—
372#396—21no—
373#395—21no—
374#394—21no—
375#394—21no—
376#394—21no—
377#394—21no—
378#394—21no—
379#394—21no—
380#394—21no—
381#394—21no—
382#394—21no—
383#394—21no—
384#394—21no—
385#394—21no—
386#394—21no—
387#394—21no—
388#394—21no—
389#394—21no—
390#394D411yescharacteristic
391#394D411yescharacteristic
392#393—21no—
393#393—21no—
394#393—21no—
395#393—21no—
396#393—21no—
397#392—21no—
398#392—21no—
399#392—21no—
400#392—21no—
401#392—21no—
402#392—21no—
403#392—21no—
404#392—21no—
405#391—21no—
406#391—21no—
407#391—21no—
408#391—21no—
409#391—21no—
410#391—21no—
411#391C2311yescharacteristic
412#391C2311yescharacteristic
413#391C2311yescharacteristic
414#391C2311yescharacteristic
415#391C2311yescharacteristic
416#391C2311yescharacteristic
417#391C2311yescharacteristic
418#391C2311yescharacteristic
419#390—21no—
420#390—21no—
421#390—21no—
422#390—21no—
423#390—21no—
424#390—21no—
425#390C2311yescharacteristic
426#390C2311yescharacteristic
427#390C2311yescharacteristic
428#390C2311yescharacteristic
429#390C2311yescharacteristic
430#390C2311yescharacteristic
431#390C2311yescharacteristic
432#390C2311yescharacteristic
433#389C2311yescharacteristic
434#389C2311yescharacteristic
435#389C2311yescharacteristic
436#389C2311yescharacteristic
437#388—21no—
438#388—21no—
439#388—21no—
440#388—21no—
441#388—21no—
442#388—21no—
443#388—21no—
444#388—21no—
445#388—21no—
446#388—21no—
447#388—21no—
448#388—21no—
449#388—21no—
450#387—21no—
451#387—21no—
452#387—21no—
453#387—21no—
454#387—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#386—21no—
459#386—21no—
460#386—21no—
461#386—21no—
462#386—21no—
463#385—21no—
464#385—21no—
465#384C2311yescharacteristic
466#382C2311yescharacteristic
467#381—21no—
468#381—21no—
469#380—21no—
470#380—21no—
471#380C2311yescharacteristic
472#380C2311yescharacteristic
473#379—21no—
474#379—21no—
475#379—21no—
476C4×C4⋊C4—21no—
477C4×C4⋊C4C2311yescharacteristic
478C4×C4⋊C4C2311yescharacteristic
479C4×C4⋊C4C2311yescharacteristic
480C4×C4⋊C4C2311yescharacteristic
481C4×C22⋊C4—21no—
482C4×C22⋊C4—21no—
483C4×C22⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485C4×C22⋊C4C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508C25—21no—
509C22×Q8—21no—
510C22×Q8—21no—
511C22×Q8—21no—
512C22×Q8—22no—
513C22×Q8—22no—
514C22×Q8—22no—
515C22×Q8—41no—
516C22×Q8—41no—
517C22×Q8—41no—
518C22×Q8—41no—
519C22×Q8—41no—
520C22×Q8—41no—
521C22×Q8—41no—
522C22×Q8—41no—
523C22×Q8—41no—
524C22×Q8C2411yescharacteristic
525C22×Q8C2411yescharacteristic
526C22×Q8C2411yescharacteristic
527C22×Q8C2411yescharacteristic
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—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4C2×D411yescharacteristic
546C22×D4C2411yescharacteristic
547C22×D4C2411yescharacteristic
548C22×D4C2411yescharacteristic
549C22×D4C2411yescharacteristic
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4C2411yescharacteristic
555C23×C4C2411yescharacteristic
556C2×Q16—22no—
557C2×Q16—22no—
558C2×Q16—22no—
559C2×Q16—41no—
560C2×Q16—41no—
561C2×Q16—41no—
562C2×Q16—41no—
563C2×Q16—41no—
564C2×Q16—41no—
565C2×SD16—22no—
566C2×SD16—22no—
567C2×SD16—22no—
568C2×SD16—22no—
569C2×SD16—22no—
570C2×SD16—22no—
571C2×SD16—22no—
572C2×SD16—22no—
573C2×SD16—22no—
574C2×SD16—41no—
575C2×SD16—41no—
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—41no—
588C2×SD16—41no—
589C2×SD16—41no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×SD16—41no—
593C2×SD16—41no—
594C2×SD16—41no—
595C2×SD16—416no—
596C2×D8—22no—
597C2×D8—22no—
598C2×D8—41no—
599C2×D8—41no—
600C2×D8—41no—
601C2×D8—41no—
602C2×D8—41no—
603C2×D8—41no—
604C2×D8—41no—
605C22×C8—22no—
606C22×C8—41no—
607C22×C8—41no—
608C22×C8C2411yescharacteristic
609C22×C8C2411yescharacteristic
610C22×C8C2411yescharacteristic
611C22×C8C2411yescharacteristic
612C22×C8C2411yescharacteristic
613C22×C8C2411yescharacteristic
614C22×C8C2411yescharacteristic
615C22×C8C2411yescharacteristic
616C4⋊Q8—22no—
617C4⋊Q8—22no—
618C4⋊Q8—41no—
619C4⋊Q8—41no—
620C4⋊Q8—44no—
621#127—41no—
622#127—41no—
623#127—41no—
624#127—41no—
625#126—44no—
626#126—82no—
627#124—22no—
628#124—22no—
629#124—41no—
630#124—41no—
631#124—41no—
632#124—41no—
633#124—41no—
634#124—41no—
635#124—41no—
636#124—41no—
637#124—41no—
638#124—41no—
639#124—44no—
640#123—44no—
641#123—82no—
642C22⋊Q8—22no—
643C22⋊Q8—22no—
644C22⋊Q8—22no—
645C22⋊Q8—44no—
646C22⋊Q8—41no—
647C22⋊Q8—44no—
648C22⋊Q8—44no—
649C22⋊Q8—41no—
650C22⋊Q8—41no—
651C22⋊Q8—41no—
652C22⋊Q8—41no—
653#121—41no—
654#121—41no—
655#121—41no—
656#121—41no—
657#121—41no—
658#121—41no—
659#121—41no—
660#121—41no—
661#121—41no—
662#121—41no—
663#121—41no—
664#121—41no—
665#121—82no—
666#120—82no—
667#120—82no—
668#120—82no—
669C4×Q8—22no—
670C4×Q8—22no—
671C4×Q8—41no—
672C4×Q8—41no—
673C4×Q8—41no—
674C4×Q8—41no—
675C4×Q8—41no—
676C4×Q8—41no—
677C4×D4—22no—
678C4×D4—41no—
679C4×D4—41no—
680C4×D4—41no—
681C4×D4—41no—
682C4×D4—41no—
683C4×D4—44no—
684#117—41no—
685#117—41no—
686#117—41no—
687#117—41no—
688C2×C4⋊C4—21no—
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⋊C4C2×D411yescharacteristic
706C2×C4⋊C4C2×D411yescharacteristic
707C2×C4⋊C4C2×D411yescharacteristic
708C2×C4⋊C4C2×D411yescharacteristic
709C2×C4⋊C4C2×D411yescharacteristic
710C2×C4⋊C4C2×D411yescharacteristic
711C2×C4⋊C4C2×D411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
713C2×C4⋊C4C2411yescharacteristic
714C2×C4⋊C4C2411yescharacteristic
715C2×C4⋊C4C2411yescharacteristic
716C2×C4⋊C4C2411yescharacteristic
717C2×C4⋊C4C2411yescharacteristic
718C2×C4⋊C4C2411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
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⋊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⋊C4C2×D411yescharacteristic
764C2×C22⋊C4C2×D411yescharacteristic
765C2×C22⋊C4C2×D411yescharacteristic
766C2×C22⋊C4C2×D411yescharacteristic
767C2×C22⋊C4C2×D411yescharacteristic
768C2×C22⋊C4C2×D411yescharacteristic
769C2×C22⋊C4C2×D411yescharacteristic
770C2×C22⋊C4C2×D411yescharacteristic
771C2×C22⋊C4C2×D411yescharacteristic
772C2×C22⋊C4C2×D411yescharacteristic
773C2×C42—21no—
774C2×C42—21no—
775C2×C42—21no—
776C2×C42—21no—
777C2×C42—21no—
778C2×C42—21no—
779C2×C42—21no—
780C2×C42C2411yescharacteristic
781C2×C42C2411yescharacteristic
782C2×C42C2411yescharacteristic
783C2×C42C2411yescharacteristic
784C2×C42C2411yescharacteristic
785#107—22no—
786#107—41no—
787#106—22no—
788#106—41no—
789C4⋊C8—22no—
790C4⋊C8—41no—
791C4⋊C8—41no—
792C4⋊C8—41no—
793C4⋊C8—41no—
794#103—22no—
795#103—22no—
796#103—22no—
797#103—22no—
798#103—22no—
799#103—22no—
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—22no—
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—
826C22⋊C8—22no—
827C22⋊C8—22no—
828C22⋊C8—22no—
829C22⋊C8—41no—
830C22⋊C8—41no—
831C22⋊C8—41no—
832C22⋊C8—41no—
833#97—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#95—21no—
862#95—21no—
863#95—21no—
864#95C2×D411yescharacteristic
865#95C2×D411yescharacteristic
866#95C2×D411yescharacteristic
867#95C2×D411yescharacteristic
868#95C2×D411yescharacteristic
869#95C2×D411yescharacteristic
870#95C2×D411yescharacteristic
871#95C2×D411yescharacteristic
872#95C2×D411yescharacteristic
873#95C2×D411yescharacteristic
874C24—21no—
875C24—21no—
876C24—21no—
877C24—21no—
878C24—42no—
879C24—81no—
880C24—81no—
881C24—81no—
882C24—81no—
883C24—81no—
884C24—81no—
885C24C22×D411yescharacteristic
886C24C22×D411yescharacteristic
887C2×Q8—21no—
888C2×Q8—21no—
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—21no—
907C2×Q8—21no—
908C2×Q8—21no—
909C2×Q8—42no—
910C2×Q8—42no—
911C2×Q8—42no—
912C2×Q8—42no—
913C2×Q8—42no—
914C2×Q8—44no—
915C2×Q8—81no—
916C2×Q8—81no—
917C2×Q8—81no—
918C2×Q8—81no—
919C2×Q8—82no—
920C2×Q8—82no—
921C2×Q8—82no—
922C2×Q8—82no—
923C2×Q8—82no—
924C2×Q8—82no—
925C2×Q8—82no—
926C2×Q8H(5,𝔽2)12yes—
927C2×Q8H(5,𝔽2)12yes—
928C2×D4—22no—
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—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—21no—
950C2×D4—21no—
951C2×D4—21no—
952C2×D4—21no—
953C2×D4—41no—
954C2×D4—41no—
955C2×D4—42no—
956C2×D4—44no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—42no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
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—82no—
975C2×D4—82no—
976C2×D4—82no—
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—
991C2×D4—81no—
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—42no—
1017C22×C4—42no—
1018C22×C4—42no—
1019C22×C4—42no—
1020C22×C4—42no—
1021C22×C4—81no—
1022C22×C4—81no—
1023C22×C4—81no—
1024C22×C4—81no—
1025C22×C4—81no—
1026C22×C4—81no—
1027C22×C4—81no—
1028C22×C4C22×D411yescharacteristic
1029C22×C4C22×D411yescharacteristic
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D411yescharacteristic
1033C22×C4C22×D411yescharacteristic
1034C22×C4C22×D411yescharacteristic
1035C22×C4C22×D411yescharacteristic
1036C22×C4C22×D411yescharacteristic
1037C22×C4C22×D411yescharacteristic
1038C22×C4C22×D411yescharacteristic
1039C22×C4C22×D411yescharacteristic
1040C22×C4C2511yescharacteristic
1041Q16—82no—
1042Q16—82no—
1043Q16—82no—
1044SD16—44no—
1045SD16—44no—
1046SD16—44no—
1047SD16—44no—
1048SD16—44no—
1049SD16—82no—
1050SD16—82no—
1051SD16—82no—
1052SD16—82no—
1053SD16—82no—
1054D8—82no—
1055D8—82no—
1056D8—82no—
1057C2×C8—21no—
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—44no—
1080C2×C8H(5,𝔽2)12yes—
1081C2×C8H(5,𝔽2)12yes—
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—41no—
1099C4⋊C4—41no—
1100C4⋊C4—41no—
1101C4⋊C4—41no—
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—81no—
1113C4⋊C4—81no—
1114C4⋊C4—81no—
1115C4⋊C4—81no—
1116C4⋊C4—81no—
1117C4⋊C4—81no—
1118C4⋊C4—81no—
1119C4⋊C4—81no—
1120C4⋊C4—81no—
1121C4⋊C4H(5,𝔽2)12yes—
1122C22⋊C4—24no—
1123C22⋊C4—22no—
1124C22⋊C4—22no—
1125C22⋊C4—41no—
1126C22⋊C4—41no—
1127C22⋊C4—41no—
1128C22⋊C4—41no—
1129C22⋊C4—41no—
1130C22⋊C4—41no—
1131C22⋊C4—41no—
1132C22⋊C4—41no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—81no—
1144C22⋊C4—81no—
1145C22⋊C4—81no—
1146C22⋊C4—81no—
1147C22⋊C4—81no—
1148C22⋊C4—81no—
1149C22⋊C4—81no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C22⋊C4—81no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
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—
1172C22⋊C4—81no—
1173C22⋊C4—81no—
1174C22⋊C4—81no—
1175C42—21no—
1176C42—21no—
1177C42—21no—
1178C42—21no—
1179C42—21no—
1180C42—21no—
1181C42—21no—
1182C42—21no—
1183C42—21no—
1184C42—21no—
1185C42—42no—
1186C42—42no—
1187C42—81no—
1188C42—81no—
1189C42—81no—
1190C42—81no—
1191C42—81no—
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—41no—
1206C23—41no—
1207C23—41no—
1208C23—41no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
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—84no—
1234C23—162no—
1235C23—162no—
1236C23—162no—
1237C23—162no—
1238C23—162no—
1239C23—162no—
1240C23#57712yes—
1241C23C23×D411yescharacteristic
1242Q8—22no—
1243Q8—22no—
1244Q8—22no—
1245Q8—22no—
1246Q8—41no—
1247Q8—41no—
1248Q8—41no—
1249Q8—41no—
1250Q8—41no—
1251Q8—41no—
1252Q8—41no—
1253Q8—41no—
1254Q8—41no—
1255Q8—41no—
1256Q8—41no—
1257Q8—41no—
1258Q8—84no—
1259Q8—84no—
1260Q8—162no—
1261D4—44no—
1262D4—41no—
1263D4—41no—
1264D4—41no—
1265D4—41no—
1266D4—41no—
1267D4—41no—
1268D4—41no—
1269D4—41no—
1270D4—41no—
1271D4—41no—
1272D4—41no—
1273D4—41no—
1274D4—41no—
1275D4—41no—
1276D4—41no—
1277D4—41no—
1278D4—84no—
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—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—21no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—22no—
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—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—84no—
1370C2×C4—84no—
1371C2×C4—162no—
1372C2×C4—162no—
1373C2×C4C2×H(5,𝔽2)11yescharacteristic
1374C2×C4C2×H(5,𝔽2)11yescharacteristic
1375C2×C4C2×H(5,𝔽2)11yescharacteristic
1376C2×C4C2×H(5,𝔽2)11yescharacteristic
1377C2×C4C2×H(5,𝔽2)11yescharacteristic
1378C2×C4#58511yescharacteristic
1379C8—22no—
1380C8—22no—
1381C8—41no—
1382C8—41no—
1383C8—41no—
1384C8—41no—
1385C8—41no—
1386C8—41no—
1387C22—22no—
1388C22—22no—
1389C22—22no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—81no—
1402C22—81no—
1403C22—81no—
1404C22—81no—
1405C22—81no—
1406C22—81no—
1407C22—81no—
1408C22—81no—
1409C22—81no—
1410C22—81no—
1411C22—81no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
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—168no—
1430C22#348411yescharacteristic
1431C22#348811yescharacteristic
1432C22#349811yescharacteristic
1433C22C2×#57711yescharacteristic
1434C22#358411yescharacteristic
1435C22#358511yescharacteristic
1436C22#358611yescharacteristic
1437C4—41no—
1438C4—41no—
1439C4—42no—
1440C4—42no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C4—41no—
1449C4—41no—
1450C4—42no—
1451C4—41no—
1452C4—81no—
1453C4—81no—
1454C4—81no—
1455C4—81no—
1456C4—81no—
1457C4—81no—
1458C4—81no—
1459C4—81no—
1460C4—81no—
1461C4#353211yescharacteristic
1462C4#353411yescharacteristic
1463C4#354311yescharacteristic
1464C4#354611yescharacteristic
1465C2—42no—
1466C2—81no—
1467C2—161no—
1468C2—161no—
1469C2—161no—
1470C2—161no—
1471C2#4795211yescharacteristic
1472C2#6161111yescharacteristic
1473C2#6169011yescharacteristic
1474C2#6206611yescharacteristic
1475C2#6209211yescharacteristic
1476C2#6245711yescharacteristic
1477C2#6246211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2395 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #52977C2semidirect
2. #45289C2semidirect
3. #32176C2semidirect
4. #31916C2semidirect
5. #31036C2semidirect
6. #30998C2semidirect
7. #30877C2semidirect
8. #30762C2semidirect
9. #30704C2semidirect
10. #30595C2semidirect
11. #30527C2semidirect
12. #30461C2semidirect
13. #30457C2semidirect
14. #30452C2semidirect
15. #29722C2semidirect
16. #29677C2semidirect
17. #29085C2semidirect
18. #28986C2semidirect
19. #28468C2semidirect
20. #28324C2semidirect
21. #27090C2semidirect
22. #26953C2semidirect
23. #26630C2semidirect
24. #25783C2semidirect
25. #25766C2semidirect
26. #25614C2semidirect
27. #25383C2semidirect
28. #24898C2semidirect
29. #24357C2semidirect
30. #23855C2semidirect
31. #22372C2semidirect
34. C2×#542C22semidirect
35. C2×#497C22semidirect
40. C2×#485C22semidirect
45. C2×#464C22semidirect
46. C2×#464C22semidirect
48. C2×#463C22semidirect
50. C2×#451C22semidirect
54. C2×#448C22semidirect
57. C2×C4×SD16C22semidirect
74. #2545C22semidirect
83. #2451C22semidirect
84. #2446C22semidirect
86. #2436C22semidirect
97. #2367C22semidirect
98. #2362C22semidirect
100. #2310C22semidirect
101. #2096C22semidirect
102. #2095C22semidirect
103. #2087C22semidirect
105. #2074C22semidirect
106. #2074C22semidirect
107. #2068C22semidirect
113. #2055C22semidirect
114. #2055C22semidirect
117. #2042C22semidirect
118. #2042C22semidirect
119. #2042C22semidirect
122. #2024C22semidirect
127. #2015C22semidirect
137. #2012C22semidirect
139. #2001C22semidirect
144. #2000C22semidirect
145. #2000C22semidirect
148. #1999C22semidirect
149. #1993C22semidirect
151. #1981C22semidirect
155. #1971C22semidirect
156. #1969C22semidirect
158. #1958C22semidirect
160. #1940C22semidirect
162. #1935C22semidirect
164. #1933C22semidirect
166. #1926C22semidirect
167. #1924C22semidirect
170. #1923C22semidirect
171. #1920C22semidirect
172. #1918C22semidirect
173. #1917C22semidirect
174. #1916C22semidirect
181. #1880C22semidirect
183. #1879C22semidirect
184. #1878C22semidirect
185. #1878C22semidirect
186. #1877C22semidirect
188. #1875C22semidirect
190. #1865C22semidirect
191. #1862C22semidirect
193. #1803C22semidirect
194. #1802C22semidirect
195. #1798C22semidirect
198. #1770C22semidirect
199. #1763C22semidirect
200. #1763C22semidirect
202. #1750C22semidirect

Maximal subgroups

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

subgroupindex
#529772
#452892
#321762
#319162
#310362
#309982
#308772
#307622
#307042
#305952
#305272
#304612
#304572
#304522
#297222
#296772
#290852
#289862
#284682
#283242
#270902
#269532
#266302
#257832
#257662
#256142
#253832
#248982
#243572
#238552
#223722