Finite Group Databasebeta

← #7337235

Subgroups — #7337235

Order 512.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1477 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53047C211yesmaximal, characteristic, complemented
2#45018C211yesmaximal, characteristic, complemented
3#32177C211yesmaximal, characteristic, complemented
4#31924C211yesmaximal, characteristic, complemented
5#31046C211yesmaximal, characteristic, complemented
6#30999C211yesmaximal, characteristic, complemented
7#30878C211yesmaximal, characteristic, complemented
8#30758C211yesmaximal, characteristic, complemented
9#30710C211yesmaximal, characteristic, complemented
10#30592C211yesmaximal, characteristic, complemented
11#30528C211yesmaximal, characteristic, complemented
12#30472C211yesmaximal, characteristic, complemented
13#30456C211yesmaximal, characteristic, complemented
14#30454C211yesmaximal, characteristic, complemented
15#29723C211yesmaximal, characteristic, complemented
16#29677C211yesmaximal, characteristic, complemented
17#29079C211yesmaximal, characteristic, complemented
18#28990C211yesmaximal, characteristic, complemented
19#28473C211yesmaximal, characteristic, complemented
20#28321C211yesmaximal, characteristic, complemented
21#27081C211yesmaximal, characteristic, complemented
22#26952C211yesmaximal, characteristic, complemented
23#26623C211yesmaximal, characteristic, complemented
24#25787C211yesmaximal, characteristic, complemented
25#25769C211yesmaximal, characteristic, complemented
26#25613C211yesmaximal, characteristic, complemented
27#25378C211yesmaximal, characteristic, complemented
28#24904C211yesmaximal, characteristic, complemented
29#24363C211yesmaximal, characteristic, complemented
30#23850C211yesmaximal, characteristic, complemented
31#22372C211yesmaximal, characteristic, complemented
32C22×#135C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×#542C2211yescharacteristic
35C2×#497C2211yescharacteristic
36C2×#497C2211yescharacteristic, complemented
37C2×#496C2211yescharacteristic
38C2×#492C2211yescharacteristic
39C2×#487C2211yescharacteristic, complemented
40C2×#485C2211yescharacteristic
41C2×#482C2211yescharacteristic
42C2×#465C2211yescharacteristic, complemented
43C2×#464C2211yescharacteristic, complemented
44C2×#462C2211yescharacteristic, complemented
45C2×#460C2211yescharacteristic
46C2×#460C2211yescharacteristic
47C2×#463C2211yescharacteristic, complemented
48C2×#461C2211yescharacteristic
49C2×#452C2211yescharacteristic
50C2×#452C2211yescharacteristic
51C2×#449C2211yescharacteristic
52C2×#449C2211yescharacteristic, complemented
53C2×#450C2211yescharacteristic
54C2×#450C2211yescharacteristic
55C2×#450C2211yescharacteristic
56C2×#447C2211yescharacteristic
57C2×C4×Q16C2211yescharacteristic, complemented
58#2837—21no—
59#2837—21no—
60#2829—21no—
61#2827—21no—
62#2803—21no—
63#2796—21no—
64#2790—21no—
65#2790—21no—
66#2714—21no—
67#2696—21no—
68#2678—21no—
69#2670—21no—
70#2621C2211yescharacteristic
71#2620C2211yescharacteristic
72#2554—21no—
73#2548C2211yescharacteristic
74#2546C2211yescharacteristic, complemented
75#2545C2211yescharacteristic, complemented
76#2542C2211yescharacteristic
77#2540—21no—
78#2513C2211yescharacteristic, complemented
79#2511C2211yescharacteristic, complemented
80#2491C2211yescharacteristic
81#2472—21no—
82#2452C2211yescharacteristic
83#2448C2211yescharacteristic
84#2433C2211yescharacteristic
85#2432C2211yescharacteristic, complemented
86#2432C2211yescharacteristic, complemented
87#2431C2211yescharacteristic
88#2429C2211yescharacteristic
89#2428C2211yescharacteristic
90#2426C2211yescharacteristic
91#2423C2211yescharacteristic, complemented
92#2421C2211yescharacteristic, complemented
93#2418—21no—
94#2414C2211yescharacteristic
95#2407C2211yescharacteristic
96#2395C2211yescharacteristic
97#2366C2211yescharacteristic
98#2362C2211yescharacteristic
99#2341C2211yescharacteristic
100#2309C2211yescharacteristic
101#2094C2211yescharacteristic
102#2093C2211yescharacteristic
103#2088C2211yescharacteristic, complemented
104#2075C2211yescharacteristic, complemented
105#2073C2211yescharacteristic
106#2073C2211yescharacteristic
107#2066C2211yescharacteristic, complemented
108#2066C2211yescharacteristic, complemented
109#2055C2211yescharacteristic
110#2055C2211yescharacteristic
111#2055C2211yescharacteristic
112#2055C2211yescharacteristic
113#2055C2211yescharacteristic
114#2054C2211yescharacteristic
115#2054C2211yescharacteristic, complemented
116#2043C2211yescharacteristic, complemented
117#2043C2211yescharacteristic, complemented
118#2041C2211yescharacteristic
119#2041C2211yescharacteristic
120#2036C2211yescharacteristic, complemented
121#2034C2211yescharacteristic, complemented
122#2024C2211yescharacteristic, complemented
123#2023C2211yescharacteristic, complemented
124#2015C2211yescharacteristic
125#2015C2211yescharacteristic, complemented
126#2015C2211yescharacteristic, complemented
127#2014C2211yescharacteristic
128#2013C2211yescharacteristic
129#2013C2211yescharacteristic
130#2013C2211yescharacteristic
131#2013C2211yescharacteristic, complemented
132#2012C2211yescharacteristic
133#2012C2211yescharacteristic
134#2012C2211yescharacteristic
135#2012C2211yescharacteristic
136#2012C2211yescharacteristic, complemented
137#2011C2211yescharacteristic
138#2001C2211yescharacteristic
139#2001C2211yescharacteristic
140#2001C2211yescharacteristic
141#2000C2211yescharacteristic
142#2000C2211yescharacteristic
143#2000C2211yescharacteristic
144#2000C2211yescharacteristic
145#2000C2211yescharacteristic
146#2000C2211yescharacteristic
147#2000C2211yescharacteristic, complemented
148#1999C2211yescharacteristic
149#1993C2211yescharacteristic, complemented
150#1983C2211yescharacteristic
151#1983C2211yescharacteristic, complemented
152#1973C2211yescharacteristic
153#1973C2211yescharacteristic, complemented
154#1972C2211yescharacteristic
155#1971C2211yescharacteristic, complemented
156#1970C2211yescharacteristic
157#1968C2211yescharacteristic
158#1958C2211yescharacteristic, complemented
159#1955C2211yescharacteristic
160#1940C2211yescharacteristic, complemented
161#1936C2211yescharacteristic
162#1936C2211yescharacteristic, complemented
163#1934C2211yescharacteristic
164#1934C2211yescharacteristic, complemented
165#1928C2211yescharacteristic, complemented
166#1925C2211yescharacteristic, complemented
167#1924C2211yescharacteristic
168#1923C2211yescharacteristic
169#1923C2211yescharacteristic, complemented
170#1923C2211yescharacteristic, complemented
171#1921C2211yescharacteristic, complemented
172#1920C2211yescharacteristic, complemented
173#1917C2211yescharacteristic, complemented
174#1916C2211yescharacteristic, complemented
175#1893C2211yescharacteristic
176#1892C2211yescharacteristic, complemented
177#1880C2211yescharacteristic
178#1880C2211yescharacteristic
179#1880C2211yescharacteristic, complemented
180#1879C2211yescharacteristic
181#1878C2211yescharacteristic, complemented
182#1878C2211yescharacteristic, complemented
183#1878C2211yescharacteristic, complemented
184#1877C2211yescharacteristic
185#1877C2211yescharacteristic, complemented
186#1877C2211yescharacteristic, complemented
187#1873C2211yescharacteristic
188#1873C2211yescharacteristic
189#1869C2211yescharacteristic
190#1865C2211yescharacteristic, complemented
191#1863C2211yescharacteristic, complemented
192#1850C2211yescharacteristic, complemented
193#1803C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1798C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic, complemented
198#1770C2211yescharacteristic, complemented
199#1763C2211yescharacteristic, complemented
200#1762C2211yescharacteristic
201#1752C2211yescharacteristic, complemented
202#1750C2211yescharacteristic
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C2×#135—42no—
207C2×#135—42no—
208C2×#135—42no—
209C22×Q16C2311yescharacteristic
210C22×Q16C2311yescharacteristic
211C22×Q16C2311yescharacteristic
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
226#546—42no—
227#546—42no—
228#542—42no—
229#542—42no—
230C2×C4⋊Q8C2311yescharacteristic
231C2×C4⋊Q8C2311yescharacteristic
232C2×C4⋊Q8C2311yescharacteristic
233C2×C4⋊Q8C2311yescharacteristic
234C2×#127C2311yescharacteristic
235C2×#127C2311yescharacteristic
236C2×#126—21no—
237C2×#124—21no—
238C2×#124—21no—
239C2×#124C2311yescharacteristic
240C2×#124C2311yescharacteristic
241C2×#124C2311yescharacteristic
242C2×#124C2311yescharacteristic
243C2×#123—21no—
244C2×#123—21no—
245C2×C22⋊Q8—21no—
246C2×C22⋊Q8—21no—
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×C22⋊Q8C2311yescharacteristic
253C2×#121—21no—
254C2×#121—21no—
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#120—21no—
260C2×#120—21no—
261C2×#120—21no—
262C2×C4×Q8C2311yescharacteristic
263C2×C4×Q8C2311yescharacteristic
264C2×C4×Q8C2311yescharacteristic
265C2×C4×Q8C2311yescharacteristic
266C2×C4×D4—21no—
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×#117C2311yescharacteristic
271C2×#117C2311yescharacteristic
272C22×C22⋊C4—21no—
273#497—42no—
274#497—42no—
275#496—42no—
276#492—42no—
277#487—42no—
278#485—42no—
279#482—42no—
280#465—42no—
281#464—42no—
282#463—42no—
283#462—42no—
284#461—42no—
285#460—42no—
286#460—42no—
287#452—42no—
288#452—42no—
289#450—42no—
290#450—42no—
291#450—42no—
292#449—42no—
293#449—42no—
294#447—42no—
295C4×Q16—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#399—21no—
355#399—21no—
356#399—21no—
357#399D411yescharacteristic
358#398—21no—
359#398—21no—
360#398—21no—
361#398—21no—
362#398—21no—
363#398—21no—
364#398D411yescharacteristic
365#397—21no—
366#397—21no—
367#397—21no—
368#397—21no—
369#397—21no—
370#397—21no—
371#397D411yescharacteristic
372#397D411yescharacteristic
373#397D411yescharacteristic
374#396—21no—
375#396—21no—
376#396—21no—
377#396—21no—
378#396—21no—
379#396—21no—
380#396—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#394—21no—
391#394—21no—
392#394—21no—
393#394—21no—
394#394D411yescharacteristic
395#394D411yescharacteristic
396#393—21no—
397#393—21no—
398#392—21no—
399#392—21no—
400#392—21no—
401#392—21no—
402#392—21no—
403#392—21no—
404#392—21no—
405#391C2311yescharacteristic
406#391C2311yescharacteristic
407#391C2311yescharacteristic
408#391C2311yescharacteristic
409#391C2311yescharacteristic
410#391C2311yescharacteristic
411#390—21no—
412#390—21no—
413#390—21no—
414#390—21no—
415#390—21no—
416#390—21no—
417#390—21no—
418#390—21no—
419#390—21no—
420#390—21no—
421#390C2311yescharacteristic
422#390C2311yescharacteristic
423#390C2311yescharacteristic
424#390C2311yescharacteristic
425#390C2311yescharacteristic
426#390C2311yescharacteristic
427#390C2311yescharacteristic
428#390C2311yescharacteristic
429#390C2311yescharacteristic
430#390C2311yescharacteristic
431#389—21no—
432#389—21no—
433#389—21no—
434#389C2311yescharacteristic
435#389C2311yescharacteristic
436#389C2311yescharacteristic
437#389C2311yescharacteristic
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#388—21no—
451#388—21no—
452#387—21no—
453#387—21no—
454#387—21no—
455#387—21no—
456#387—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#385—21no—
466#385—21no—
467#385—21no—
468#385—21no—
469#384—21no—
470#384C2311yescharacteristic
471#382C2311yescharacteristic
472#380—21no—
473#380C2311yescharacteristic
474#380C2311yescharacteristic
475#379—21no—
476#379—21no—
477C4×C4⋊C4—21no—
478C4×C4⋊C4C2311yescharacteristic
479C4×C4⋊C4C2311yescharacteristic
480C4×C4⋊C4C2311yescharacteristic
481C4×C4⋊C4C2311yescharacteristic
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—
509C2×#41—22no—
510C2×#41—22no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41—41no—
518C2×#41—41no—
519C2×#41—41no—
520C2×#41—41no—
521C22×Q8—21no—
522C22×Q8C2411yescharacteristic
523C22×Q8C2411yescharacteristic
524C22×Q8C2411yescharacteristic
525C22×Q8C2411yescharacteristic
526C22×D4—22no—
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—21no—
537C22×D4—21no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4C2×D411yescharacteristic
544C22×D4C2411yescharacteristic
545C22×D4C2411yescharacteristic
546C22×D4C2411yescharacteristic
547C22×D4C2411yescharacteristic
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4C2411yescharacteristic
553C23×C4C2411yescharacteristic
554#135—416no—
555C2×Q16—22no—
556C2×Q16—22no—
557C2×Q16—22no—
558C2×Q16—22no—
559C2×Q16—22no—
560C2×Q16—41no—
561C2×Q16—41no—
562C2×Q16—41no—
563C2×Q16—41no—
564C2×SD16—22no—
565C2×SD16—22no—
566C2×SD16—22no—
567C2×SD16—22no—
568C2×SD16—22no—
569C2×SD16—22no—
570C2×SD16—22no—
571C2×SD16—41no—
572C2×SD16—41no—
573C2×SD16—41no—
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×D8—22no—
595C2×D8—22no—
596C2×D8—41no—
597C2×D8—41no—
598C2×D8—41no—
599C2×D8—41no—
600C2×D8—41no—
601C2×D8—41no—
602C2×D8—41no—
603C22×C8—22no—
604C22×C8—41no—
605C22×C8—41no—
606C22×C8C2411yescharacteristic
607C22×C8C2411yescharacteristic
608C22×C8C2411yescharacteristic
609C22×C8C2411yescharacteristic
610C22×C8C2411yescharacteristic
611C22×C8C2411yescharacteristic
612C22×C8C2411yescharacteristic
613C22×C8C2411yescharacteristic
614C4⋊Q8—22no—
615C4⋊Q8—41no—
616C4⋊Q8—41no—
617C4⋊Q8—41no—
618C4⋊Q8—41no—
619C4⋊Q8—41no—
620C4⋊Q8—41no—
621C4⋊Q8—41no—
622#127—22no—
623#127—41no—
624#127—41no—
625#127—41no—
626#126—44no—
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—44no—
636#124—82no—
637#123—44no—
638#123—44no—
639C22⋊Q8—22no—
640C22⋊Q8—22no—
641C22⋊Q8—44no—
642C22⋊Q8—41no—
643C22⋊Q8—41no—
644C22⋊Q8—41no—
645C22⋊Q8—41no—
646C22⋊Q8—41no—
647C22⋊Q8—41no—
648C22⋊Q8—41no—
649C22⋊Q8—41no—
650C22⋊Q8—41no—
651C22⋊Q8—41no—
652C22⋊Q8—82no—
653#121—22no—
654#121—41no—
655#121—41no—
656#121—41no—
657#121—44no—
658#121—41no—
659#121—41no—
660#121—41no—
661#121—41no—
662#121—82no—
663#120—44no—
664#120—82no—
665#120—82no—
666C4×Q8—22no—
667C4×Q8—41no—
668C4×Q8—41no—
669C4×Q8—41no—
670C4×Q8—41no—
671C4×Q8—41no—
672C4×Q8—41no—
673C4×Q8—41no—
674C4×D4—22no—
675C4×D4—22no—
676C4×D4—41no—
677C4×D4—41no—
678C4×D4—41no—
679C4×D4—41no—
680C4×D4—82no—
681#117—41no—
682#117—41no—
683#117—41no—
684#117—41no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—21no—
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⋊C4—21no—
706C2×C4⋊C4—21no—
707C2×C4⋊C4—21no—
708C2×C4⋊C4C2×D411yescharacteristic
709C2×C4⋊C4C2×D411yescharacteristic
710C2×C4⋊C4C2×D411yescharacteristic
711C2×C4⋊C4C2×D411yescharacteristic
712C2×C4⋊C4C2×D411yescharacteristic
713C2×C4⋊C4C2×D411yescharacteristic
714C2×C4⋊C4C2×D411yescharacteristic
715C2×C4⋊C4C2411yescharacteristic
716C2×C4⋊C4C2411yescharacteristic
717C2×C4⋊C4C2411yescharacteristic
718C2×C4⋊C4C2411yescharacteristic
719C2×C4⋊C4C2411yescharacteristic
720C2×C4⋊C4C2411yescharacteristic
721C2×C4⋊C4C2411yescharacteristic
722C2×C4⋊C4C2411yescharacteristic
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⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
774C2×C22⋊C4C2×D411yescharacteristic
775C2×C22⋊C4C2×D411yescharacteristic
776C2×C22⋊C4C2×D411yescharacteristic
777C2×C42—21no—
778C2×C42—21no—
779C2×C42—21no—
780C2×C42—21no—
781C2×C42—21no—
782C2×C42—21no—
783C2×C42—21no—
784C2×C42C2411yescharacteristic
785C2×C42C2411yescharacteristic
786C2×C42C2411yescharacteristic
787C2×C42C2411yescharacteristic
788C2×C42C2411yescharacteristic
789#107—22no—
790#107—41no—
791#106—22no—
792#106—41no—
793C4⋊C8—22no—
794C4⋊C8—41no—
795C4⋊C8—41no—
796C4⋊C8—41no—
797C4⋊C8—41no—
798#103—22no—
799#103—22no—
800#103—22no—
801#103—22no—
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#103—41no—
811#103—41no—
812#103—41no—
813#103—41no—
814#102—22no—
815#102—22no—
816#102—22no—
817#102—22no—
818#102—22no—
819#102—22no—
820#102—41no—
821#102—41no—
822#102—41no—
823#102—41no—
824#102—41no—
825#102—41no—
826#102—41no—
827#102—41no—
828#102—41no—
829#102—41no—
830C22⋊C8—22no—
831C22⋊C8—22no—
832C22⋊C8—22no—
833C22⋊C8—41no—
834C22⋊C8—41no—
835C22⋊C8—41no—
836C22⋊C8—41no—
837#97—41no—
838#97—41no—
839#97—41no—
840C4×C8—22no—
841C4×C8—41no—
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—42no—
880C24—81no—
881C24—81no—
882C24—81no—
883C24—81no—
884C24—81no—
885C24C22×D411yescharacteristic
886C24C22×D411yescharacteristic
887#41—44no—
888#41—44no—
889#41—82no—
890#41—82no—
891#41—82no—
892#41—82no—
893#41—82no—
894#41—82no—
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—21no—
910C2×Q8—21no—
911C2×Q8—21no—
912C2×Q8—21no—
913C2×Q8—21no—
914C2×Q8—21no—
915C2×Q8—21no—
916C2×Q8—21no—
917C2×Q8—21no—
918C2×Q8—42no—
919C2×Q8—81no—
920C2×Q8—81no—
921C2×Q8H(5,𝔽2)12yes—
922C2×D4—21no—
923C2×D4—21no—
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—41no—
946C2×D4—41no—
947C2×D4—41no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—42no—
955C2×D4—42no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—82no—
968C2×D4—82no—
969C2×D4—82no—
970C2×D4—82no—
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×D4H(5,𝔽2)12yes—
986C22×C4—21no—
987C22×C4—21no—
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—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—42no—
1011C22×C4—42no—
1012C22×C4—42no—
1013C22×C4—42no—
1014C22×C4—81no—
1015C22×C4—81no—
1016C22×C4—81no—
1017C22×C4—81no—
1018C22×C4—81no—
1019C22×C4—81no—
1020C22×C4—81no—
1021C22×C4—81no—
1022C22×C4C22×D411yescharacteristic
1023C22×C4C22×D411yescharacteristic
1024C22×C4C22×D411yescharacteristic
1025C22×C4C22×D411yescharacteristic
1026C22×C4C22×D411yescharacteristic
1027C22×C4C22×D411yescharacteristic
1028C22×C4C22×D411yescharacteristic
1029C22×C4C22×D411yescharacteristic
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D411yescharacteristic
1033C22×C4C22×D411yescharacteristic
1034C22×C4C2511yescharacteristic
1035Q16—44no—
1036Q16—44no—
1037Q16—82no—
1038SD16—44no—
1039SD16—44no—
1040SD16—82no—
1041SD16—82no—
1042SD16—82no—
1043SD16—82no—
1044SD16—82no—
1045SD16—82no—
1046SD16—82no—
1047SD16—82no—
1048D8—44no—
1049D8—82no—
1050D8—82no—
1051C2×C8—21no—
1052C2×C8—21no—
1053C2×C8—21no—
1054C2×C8—21no—
1055C2×C8—21no—
1056C2×C8—21no—
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—44no—
1074C2×C8H(5,𝔽2)12yes—
1075C2×C8H(5,𝔽2)12yes—
1076C4⋊C4—24no—
1077C4⋊C4—22no—
1078C4⋊C4—21no—
1079C4⋊C4—21no—
1080C4⋊C4—21no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
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—41no—
1094C4⋊C4—41no—
1095C4⋊C4—41no—
1096C4⋊C4—41no—
1097C4⋊C4—41no—
1098C4⋊C4—41no—
1099C4⋊C4—42no—
1100C4⋊C4—42no—
1101C4⋊C4—42no—
1102C4⋊C4—81no—
1103C4⋊C4—81no—
1104C4⋊C4—81no—
1105C4⋊C4—81no—
1106C4⋊C4—81no—
1107C4⋊C4—81no—
1108C4⋊C4—81no—
1109C4⋊C4—81no—
1110C4⋊C4—81no—
1111C4⋊C4—81no—
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—42no—
1144C22⋊C4—42no—
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—22no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
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—41no—
1234C23—84no—
1235C23—84no—
1236C23—162no—
1237C23—162no—
1238C23—162no—
1239C23—162no—
1240C23—162no—
1241C23C23×D411yescharacteristic
1242Q8—22no—
1243Q8—22no—
1244Q8—41no—
1245Q8—41no—
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—162no—
1259D4—22no—
1260D4—22no—
1261D4—41no—
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—82no—
1276D4—84no—
1277D4—84no—
1278D4—84no—
1279D4—84no—
1280D4—162no—
1281D4—162no—
1282D4—162no—
1283D4—162no—
1284D4—162no—
1285D4—162no—
1286D4—162no—
1287C2×C4—21no—
1288C2×C4—21no—
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—22no—
1310C2×C4—22no—
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—21no—
1323C2×C4—21no—
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—84no—
1367C2×C4—84no—
1368C2×C4—162no—
1369C2×C4—162no—
1370C2×C4#57712yes—
1371C2×C4C2×H(5,𝔽2)11yescharacteristic
1372C2×C4C2×H(5,𝔽2)11yescharacteristic
1373C2×C4C2×H(5,𝔽2)11yescharacteristic
1374C2×C4C2×H(5,𝔽2)11yescharacteristic
1375C2×C4C2×H(5,𝔽2)11yescharacteristic
1376C2×C4#58511yescharacteristic
1377C8—22no—
1378C8—22no—
1379C8—41no—
1380C8—41no—
1381C8—41no—
1382C8—41no—
1383C8—41no—
1384C8—41no—
1385C22—41no—
1386C22—41no—
1387C22—42no—
1388C22—42no—
1389C22—41no—
1390C22—41no—
1391C22—42no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
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—168no—
1428C22#348411yescharacteristic
1429C22#348811yescharacteristic
1430C22#349811yescharacteristic
1431C22C2×#57711yescharacteristic
1432C22#358411yescharacteristic
1433C22#358511yescharacteristic
1434C22#358611yescharacteristic
1435C4—22no—
1436C4—41no—
1437C4—41no—
1438C4—42no—
1439C4—41no—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—42no—
1448C4—41no—
1449C4—81no—
1450C4—81no—
1451C4—81no—
1452C4—81no—
1453C4—81no—
1454C4—81no—
1455C4—81no—
1456C4—81no—
1457C4—81no—
1458C4—81no—
1459C4#353211yescharacteristic
1460C4#353411yescharacteristic
1461C4#354311yescharacteristic
1462C4#354611yescharacteristic
1463C2—81no—
1464C2—81no—
1465C2—82no—
1466C2—161no—
1467C2—161no—
1468C2—161no—
1469C2#4795211yescharacteristic
1470C2#6161511yescharacteristic
1471C2#6168911yescharacteristic
1472C2#6206811yescharacteristic
1473C2#6208411yescharacteristic
1474C2#6245811yescharacteristic
1475C2#6246111yescharacteristic
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. #53047C2semidirect
2. #45018C2semidirect
3. #32177C2semidirect
4. #31924C2semidirect
5. #31046C2semidirect
6. #30999C2semidirect
7. #30878C2semidirect
8. #30758C2semidirect
9. #30710C2semidirect
10. #30592C2semidirect
11. #30528C2semidirect
12. #30472C2semidirect
13. #30456C2semidirect
14. #30454C2semidirect
15. #29723C2semidirect
16. #29677C2semidirect
17. #29079C2semidirect
18. #28990C2semidirect
19. #28473C2semidirect
20. #28321C2semidirect
21. #27081C2semidirect
22. #26952C2semidirect
23. #26623C2semidirect
24. #25787C2semidirect
25. #25769C2semidirect
26. #25613C2semidirect
27. #25378C2semidirect
28. #24904C2semidirect
29. #24363C2semidirect
30. #23850C2semidirect
31. #22372C2semidirect
36. C2×#497C22semidirect
39. C2×#487C22semidirect
42. C2×#465C22semidirect
43. C2×#464C22semidirect
44. C2×#462C22semidirect
47. C2×#463C22semidirect
52. C2×#449C22semidirect
57. C2×C4×Q16C22semidirect
74. #2546C22semidirect
75. #2545C22semidirect
78. #2513C22semidirect
79. #2511C22semidirect
85. #2432C22semidirect
86. #2432C22semidirect
91. #2423C22semidirect
92. #2421C22semidirect
103. #2088C22semidirect
104. #2075C22semidirect
107. #2066C22semidirect
108. #2066C22semidirect
115. #2054C22semidirect
116. #2043C22semidirect
117. #2043C22semidirect
120. #2036C22semidirect
121. #2034C22semidirect
122. #2024C22semidirect
123. #2023C22semidirect
125. #2015C22semidirect
126. #2015C22semidirect
131. #2013C22semidirect
136. #2012C22semidirect
147. #2000C22semidirect
149. #1993C22semidirect
151. #1983C22semidirect
153. #1973C22semidirect
155. #1971C22semidirect
158. #1958C22semidirect
160. #1940C22semidirect
162. #1936C22semidirect
164. #1934C22semidirect
165. #1928C22semidirect
166. #1925C22semidirect
169. #1923C22semidirect
170. #1923C22semidirect
171. #1921C22semidirect
172. #1920C22semidirect
173. #1917C22semidirect
174. #1916C22semidirect
176. #1892C22semidirect
179. #1880C22semidirect
181. #1878C22semidirect
182. #1878C22semidirect
183. #1878C22semidirect
185. #1877C22semidirect
186. #1877C22semidirect
190. #1865C22semidirect
191. #1863C22semidirect
192. #1850C22semidirect
193. #1803C22semidirect
194. #1802C22semidirect
197. #1788C22semidirect
198. #1770C22semidirect
199. #1763C22semidirect
201. #1752C22semidirect

Maximal subgroups

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

subgroupindex
#530472
#450182
#321772
#319242
#310462
#309992
#308782
#307582
#307102
#305922
#305282
#304722
#304562
#304542
#297232
#296772
#290792
#289902
#284732
#283212
#270812
#269522
#266232
#257872
#257692
#256132
#253782
#249042
#243632
#238502
#223722