Finite Group Databasebeta

← #7336834

Subgroups — #7336834

Order 512.

1778 conjugacy classes of subgroups.

The subgroup lattice has 1504 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52977C211yesmaximal, characteristic, complemented
2#45094C211yesmaximal, characteristic, complemented
3#32163C211yesmaximal, characteristic, complemented
4#31901C211yesmaximal, characteristic, complemented
5#31020C211yesmaximal, characteristic, complemented
6#30985C211yesmaximal, characteristic, complemented
7#30889C211yesmaximal, characteristic, complemented
8#30737C211yesmaximal, characteristic, complemented
9#30722C211yesmaximal, characteristic, complemented
10#30610C211yesmaximal, characteristic, complemented
11#30531C211yesmaximal, characteristic, complemented
12#30461C211yesmaximal, characteristic, complemented
13#30460C211yesmaximal, characteristic, complemented
14#30457C211yesmaximal, characteristic, complemented
15#29728C211yesmaximal, characteristic, complemented
16#29670C211yesmaximal, characteristic, complemented
17#29094C211yesmaximal, characteristic, complemented
18#28995C211yesmaximal, characteristic, complemented
19#28474C211yesmaximal, characteristic, complemented
20#28323C211yesmaximal, characteristic, complemented
21#27076C211yesmaximal, characteristic, complemented
22#26939C211yesmaximal, characteristic, complemented
23#26643C211yesmaximal, characteristic, complemented
24#25793C211yesmaximal, characteristic, complemented
25#25761C211yesmaximal, characteristic, complemented
26#25611C211yesmaximal, characteristic, complemented
27#25373C211yesmaximal, characteristic, complemented
28#24923C211yesmaximal, characteristic, complemented
29#24372C211yesmaximal, characteristic, complemented
30#23866C211yesmaximal, characteristic, complemented
31#22360C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#548C2211yescharacteristic
34C2×#540C2211yescharacteristic, complemented
35C2×#496C2211yescharacteristic
36C2×#496C2211yescharacteristic
37C2×#495C2211yescharacteristic
38C2×#495C2211yescharacteristic, complemented
39C2×#488C2211yescharacteristic
40C2×#482C2211yescharacteristic
41C2×#482C2211yescharacteristic, complemented
42C2×#468C2211yescharacteristic
43C2×#464C2211yescharacteristic, complemented
44C2×#464C2211yescharacteristic, complemented
45C2×#463C2211yescharacteristic, complemented
46C2×#459C2211yescharacteristic
47C2×#459C2211yescharacteristic
48C2×#459C2211yescharacteristic
49C2×#452C2211yescharacteristic
50C2×#449C2211yescharacteristic
51C2×#451C2211yescharacteristic, complemented
52C2×#448C2211yescharacteristic
53C2×#448C2211yescharacteristic
54C2×#448C2211yescharacteristic, complemented
55C2×#450C2211yescharacteristic
56C2×#447C2211yescharacteristic
57C2×#440C2211yescharacteristic, complemented
58#2829—21no—
59#2828—21no—
60#2826—21no—
61#2812—21no—
62#2714—21no—
63#2710—21no—
64#2699—21no—
65#2697—21no—
66#2688—21no—
67#2687—21no—
68#2685—21no—
69#2678—21no—
70#2620C2211yescharacteristic
71#2619C2211yescharacteristic
72#2557—21no—
73#2548C2211yescharacteristic
74#2544C2211yescharacteristic
75#2544C2211yescharacteristic, complemented
76#2540C2211yescharacteristic
77#2513C2211yescharacteristic
78#2512C2211yescharacteristic
79#2489C2211yescharacteristic
80#2488—21no—
81#2453C2211yescharacteristic, complemented
82#2447C2211yescharacteristic, complemented
83#2444—21no—
84#2436C2211yescharacteristic, complemented
85#2435C2211yescharacteristic
86#2433C2211yescharacteristic
87#2431C2211yescharacteristic
88#2428C2211yescharacteristic
89#2427C2211yescharacteristic
90#2426C2211yescharacteristic
91#2422C2211yescharacteristic
92#2421C2211yescharacteristic
93#2420—21no—
94#2414C2211yescharacteristic
95#2408C2211yescharacteristic
96#2395C2211yescharacteristic
97#2367C2211yescharacteristic, complemented
98#2363C2211yescharacteristic, complemented
99#2339C2211yescharacteristic
100#2310C2211yescharacteristic, complemented
101#2097C2211yescharacteristic, complemented
102#2097C2211yescharacteristic, complemented
103#2087C2211yescharacteristic, complemented
104#2076C2211yescharacteristic
105#2072C2211yescharacteristic, complemented
106#2072C2211yescharacteristic, complemented
107#2065C2211yescharacteristic
108#2065C2211yescharacteristic, complemented
109#2056C2211yescharacteristic, complemented
110#2056C2211yescharacteristic, complemented
111#2055C2211yescharacteristic
112#2055C2211yescharacteristic
113#2055C2211yescharacteristic
114#2055C2211yescharacteristic
115#2054C2211yescharacteristic
116#2042C2211yescharacteristic, complemented
117#2042C2211yescharacteristic, complemented
118#2042C2211yescharacteristic, complemented
119#2041C2211yescharacteristic
120#2035C2211yescharacteristic
121#2034C2211yescharacteristic
122#2025C2211yescharacteristic
123#2025C2211yescharacteristic, complemented
124#2015C2211yescharacteristic
125#2015C2211yescharacteristic
126#2015C2211yescharacteristic
127#2014C2211yescharacteristic
128#2014C2211yescharacteristic
129#2014C2211yescharacteristic
130#2012C2211yescharacteristic
131#2012C2211yescharacteristic
132#2012C2211yescharacteristic
133#2012C2211yescharacteristic
134#2012C2211yescharacteristic
135#2012C2211yescharacteristic, complemented
136#2011C2211yescharacteristic
137#2011C2211yescharacteristic, complemented
138#2001C2211yescharacteristic
139#2000C2211yescharacteristic
140#2000C2211yescharacteristic, complemented
141#2000C2211yescharacteristic, complemented
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic
145#1999C2211yescharacteristic
146#1999C2211yescharacteristic
147#1999C2211yescharacteristic, complemented
148#1999C2211yescharacteristic, complemented
149#1992C2211yescharacteristic, complemented
150#1983C2211yescharacteristic
151#1983C2211yescharacteristic, complemented
152#1973C2211yescharacteristic
153#1973C2211yescharacteristic, complemented
154#1970C2211yescharacteristic
155#1970C2211yescharacteristic
156#1968C2211yescharacteristic
157#1968C2211yescharacteristic, complemented
158#1957C2211yescharacteristic, complemented
159#1954C2211yescharacteristic
160#1939C2211yescharacteristic, complemented
161#1936C2211yescharacteristic
162#1935C2211yescharacteristic, complemented
163#1934C2211yescharacteristic
164#1933C2211yescharacteristic, complemented
165#1926C2211yescharacteristic
166#1926C2211yescharacteristic, complemented
167#1924C2211yescharacteristic
168#1924C2211yescharacteristic, complemented
169#1923C2211yescharacteristic
170#1923C2211yescharacteristic, complemented
171#1918C2211yescharacteristic, complemented
172#1918C2211yescharacteristic, complemented
173#1916C2211yescharacteristic, complemented
174#1916C2211yescharacteristic, complemented
175#1895C2211yescharacteristic
176#1894C2211yescharacteristic
177#1880C2211yescharacteristic
178#1880C2211yescharacteristic
179#1879C2211yescharacteristic
180#1879C2211yescharacteristic
181#1879C2211yescharacteristic
182#1879C2211yescharacteristic, complemented
183#1878C2211yescharacteristic, complemented
184#1877C2211yescharacteristic, complemented
185#1877C2211yescharacteristic, complemented
186#1877C2211yescharacteristic, complemented
187#1875C2211yescharacteristic
188#1873C2211yescharacteristic, complemented
189#1870C2211yescharacteristic
190#1865C2211yescharacteristic, complemented
191#1864C2211yescharacteristic, complemented
192#1851C2211yescharacteristic
193#1804C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1788C2211yescharacteristic
197#1786C2211yescharacteristic
198#1771C2211yescharacteristic, complemented
199C4×#103C2211yescharacteristic, complemented
200C4×#102C2211yescharacteristic, complemented
201#1753C2211yescharacteristic
202#1750C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×Q8C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C2×AGL(1,ℤ/8)—42no—
207C2×AGL(1,ℤ/8)—42no—
208C2×AGL(1,ℤ/8)—42no—
209C22×Q16C2311yescharacteristic
210C22×Q16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×SD16C2311yescharacteristic
216C22×SD16C2311yescharacteristic
217C22×SD16C2311yescharacteristic
218C22×SD16C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×D8C2311yescharacteristic
222C22×D8C2311yescharacteristic
223C22×D8C2311yescharacteristic
224C22×D8C2311yescharacteristic
225C22×M16C2311yescharacteristic
226#548—42no—
227#548—42no—
228#540—42no—
229#540—42no—
230C2×#127C2311yescharacteristic
231C2×#127C2311yescharacteristic
232C2×#127C2311yescharacteristic
233C2×#126—21no—
234C2×#125C2311yescharacteristic
235C2×#124—21no—
236C2×#124C2311yescharacteristic
237C2×#124C2311yescharacteristic
238C2×#124C2311yescharacteristic
239C2×#124C2311yescharacteristic
240C2×#124C2311yescharacteristic
241C2×#124C2311yescharacteristic
242C2×#123—21no—
243C2×#123—21no—
244C2×#123—21no—
245C2×C22⋊Q8—21no—
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121C2311yescharacteristic
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×D4—21no—
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×#117C2311yescharacteristic
272C2×#117C2311yescharacteristic
273#496—42no—
274#496—42no—
275#495—42no—
276#495—42no—
277#488—42no—
278#482—42no—
279#482—42no—
280#468—42no—
281#464—42no—
282#464—42no—
283#463—42no—
284#459—42no—
285#459—42no—
286#459—42no—
287#452—42no—
288#451—42no—
289#450—42no—
290#449—42no—
291#448—42no—
292#448—42no—
293#448—42no—
294#447—42no—
295#440—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×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#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×C4×C8C2311yescharacteristic
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#398D411yescharacteristic
357#397—21no—
358#397—21no—
359#397—21no—
360#397—21no—
361#397—21no—
362#397—21no—
363#397—21no—
364#397—21no—
365#397—21no—
366#397D411yescharacteristic
367#397D411yescharacteristic
368#397D411yescharacteristic
369#396—21no—
370#396—21no—
371#396—21no—
372#396—21no—
373#394—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#394—21no—
391#394D411yescharacteristic
392#394D411yescharacteristic
393#393—21no—
394#393—21no—
395#392—21no—
396#392—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#391C2311yescharacteristic
408#391C2311yescharacteristic
409#391C2311yescharacteristic
410#391C2311yescharacteristic
411#391C2311yescharacteristic
412#391C2311yescharacteristic
413#391C2311yescharacteristic
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#389—21no—
431#389C2311yescharacteristic
432#389C2311yescharacteristic
433#389C2311yescharacteristic
434#389C2311yescharacteristic
435#388—21no—
436#388—21no—
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#387—21no—
446#387—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#386—21no—
451#386—21no—
452#386—21no—
453#386—21no—
454#386—21no—
455#386—21no—
456#386—21no—
457#386—21no—
458#386—21no—
459#386—21no—
460#385—21no—
461#385—21no—
462#385—21no—
463#384C2311yescharacteristic
464#382—21no—
465#382C2311yescharacteristic
466#381—21no—
467#381—21no—
468#381—21no—
469#381—21no—
470#380—21no—
471#380C2311yescharacteristic
472#380C2311yescharacteristic
473#379—21no—
474#379—21no—
475#379—21no—
476C4×C4⋊C4C2311yescharacteristic
477C4×C4⋊C4C2311yescharacteristic
478C4×C4⋊C4C2311yescharacteristic
479C4×C4⋊C4C2311yescharacteristic
480C4×C22⋊C4—21no—
481C4×C22⋊C4—21no—
482C4×C22⋊C4C2311yescharacteristic
483C4×C22⋊C4C2311yescharacteristic
484C4×C22⋊C4C2311yescharacteristic
485C2×#95—21no—
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—
515C22×Q8—21no—
516C22×Q8—22no—
517C22×Q8—41no—
518C22×Q8—41no—
519C22×Q8—41no—
520C22×Q8—41no—
521C22×Q8—41no—
522C22×Q8C2411yescharacteristic
523C22×Q8C2411yescharacteristic
524C22×Q8C2411yescharacteristic
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—21no—
535C22×D4—21no—
536C22×D4—21no—
537C22×D4—21no—
538C22×D4—21no—
539C22×D4—21no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4—41no—
544C22×D4—41no—
545C22×D4—41no—
546C22×D4C2×D411yescharacteristic
547C22×D4C2411yescharacteristic
548C22×D4C2411yescharacteristic
549C22×D4C2411yescharacteristic
550C22×D4C2411yescharacteristic
551C22×D4C2411yescharacteristic
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4—21no—
557C23×C4—21no—
558C23×C4C2411yescharacteristic
559C23×C4C2411yescharacteristic
560AGL(1,ℤ/8)—416no—
561C2×Q16—22no—
562C2×Q16—41no—
563C2×Q16—41no—
564C2×Q16—41no—
565C2×Q16—41no—
566C2×Q16—41no—
567C2×SD16—22no—
568C2×SD16—22no—
569C2×SD16—22no—
570C2×SD16—22no—
571C2×SD16—22no—
572C2×SD16—22no—
573C2×SD16—22no—
574C2×SD16—22no—
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×D8—22no—
592C2×D8—22no—
593C2×D8—22no—
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—
603C2×D8—41no—
604C2×D8—41no—
605C2×D8—41no—
606C2×D8—41no—
607C2×D8—41no—
608C2×D8—41no—
609C2×M16—22no—
610C2×M16—41no—
611C2×M16—41no—
612C22×C8C2411yescharacteristic
613C22×C8C2411yescharacteristic
614C22×C8C2411yescharacteristic
615C22×C8C2411yescharacteristic
616C22×C8C2411yescharacteristic
617C22×C8C2411yescharacteristic
618C22×C8C2411yescharacteristic
619C22×C8C2411yescharacteristic
620#127—22no—
621#127—41no—
622#127—41no—
623#127—41no—
624#127—41no—
625#127—41no—
626#126—82no—
627#125—22no—
628#125—41no—
629#124—22no—
630#124—22no—
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—41no—
640#124—41no—
641#124—44no—
642#123—44no—
643#123—44no—
644#123—82no—
645C22⋊Q8—22no—
646C22⋊Q8—44no—
647C22⋊Q8—41no—
648C22⋊Q8—41no—
649C22⋊Q8—41no—
650C22⋊Q8—41no—
651C22⋊Q8—41no—
652#121—22no—
653#121—22no—
654#121—41no—
655#121—41no—
656#121—44no—
657#121—44no—
658#121—44no—
659#121—41no—
660#121—41no—
661#121—41no—
662#121—41no—
663#121—41no—
664#121—41no—
665#121—41no—
666#121—41no—
667#121—41no—
668#121—41no—
669#121—82no—
670#120—82no—
671#120—82no—
672#120—82no—
673C4×Q8—22no—
674C4×Q8—41no—
675C4×Q8—41no—
676C4×Q8—41no—
677C4×D4—22no—
678C4×D4—22no—
679C4×D4—41no—
680C4×D4—41no—
681C4×D4—41no—
682C4×D4—41no—
683C4×D4—41no—
684C4×D4—41no—
685C4×D4—41no—
686C4×D4—41no—
687C4×D4—44no—
688#117—41no—
689#117—41no—
690#117—41no—
691#117—41no—
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⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
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×C42C2411yescharacteristic
783C2×C42C2411yescharacteristic
784C2×C42C2411yescharacteristic
785C2×C42C2411yescharacteristic
786C2×C42C2411yescharacteristic
787#107—22no—
788#107—22no—
789#106—41no—
790#106—41no—
791C4⋊C8—22no—
792C4⋊C8—41no—
793C4⋊C8—41no—
794C4⋊C8—41no—
795C4⋊C8—41no—
796#103—22no—
797#103—22no—
798#103—22no—
799#103—22no—
800#103—22no—
801#103—41no—
802#103—41no—
803#103—41no—
804#103—41no—
805#103—41no—
806#103—41no—
807#103—41no—
808#102—22no—
809#102—22no—
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—
834C22⋊C8—41no—
835#97—22no—
836#97—41no—
837C4×C8—41no—
838C4×C8—41no—
839C4×C8—41no—
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—21no—
879C24—42no—
880C24—81no—
881C24—81no—
882C24—81no—
883C24—81no—
884C24—81no—
885C24—81no—
886C24C22×D411yescharacteristic
887C24C22×D411yescharacteristic
888#41—44no—
889#41—82no—
890#41—82no—
891#41—82no—
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—81no—
912C2×Q8—82no—
913C2×Q8—82no—
914C2×Q8—82no—
915C2×Q8—82no—
916C2×Q8H(5,𝔽2)12yes—
917C2×D4—24no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
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—21no—
946C2×D4—21no—
947C2×D4—41no—
948C2×D4—41no—
949C2×D4—41no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—42no—
953C2×D4—42no—
954C2×D4—44no—
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—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4—81no—
971C2×D4—81no—
972C2×D4—81no—
973C2×D4—81no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—82no—
977C2×D4—82no—
978C2×D4—82no—
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—
992C2×D4—81no—
993C2×D4—81no—
994C2×D4—81no—
995C2×D4—81no—
996C2×D4—81no—
997C2×D4—81no—
998C2×D4H(5,𝔽2)12yes—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—42no—
1023C22×C4—42no—
1024C22×C4—42no—
1025C22×C4—42no—
1026C22×C4—42no—
1027C22×C4—42no—
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—81no—
1037C22×C4—81no—
1038C22×C4—81no—
1039C22×C4—81no—
1040C22×C4C22×D411yescharacteristic
1041C22×C4C22×D411yescharacteristic
1042C22×C4C22×D411yescharacteristic
1043C22×C4C22×D411yescharacteristic
1044C22×C4C22×D411yescharacteristic
1045C22×C4C22×D411yescharacteristic
1046C22×C4C22×D411yescharacteristic
1047C22×C4C22×D411yescharacteristic
1048C22×C4C22×D411yescharacteristic
1049C22×C4C22×D411yescharacteristic
1050C22×C4C22×D411yescharacteristic
1051C22×C4C22×D411yescharacteristic
1052C22×C4C2511yescharacteristic
1053Q16—82no—
1054Q16—82no—
1055SD16—44no—
1056SD16—44no—
1057SD16—44no—
1058SD16—82no—
1059SD16—82no—
1060SD16—82no—
1061SD16—82no—
1062SD16—82no—
1063D8—44no—
1064D8—44no—
1065D8—82no—
1066D8—82no—
1067D8—82no—
1068D8—82no—
1069M16—44no—
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—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8H(5,𝔽2)12yes—
1093C2×C8H(5,𝔽2)12yes—
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—41no—
1113C4⋊C4—41no—
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—42no—
1117C4⋊C4—42no—
1118C4⋊C4—42no—
1119C4⋊C4—42no—
1120C4⋊C4—42no—
1121C4⋊C4—81no—
1122C4⋊C4—81no—
1123C4⋊C4—81no—
1124C4⋊C4—81no—
1125C4⋊C4—81no—
1126C4⋊C4—81no—
1127C4⋊C4—81no—
1128C4⋊C4—81no—
1129C4⋊C4H(5,𝔽2)12yes—
1130C22⋊C4—24no—
1131C22⋊C4—41no—
1132C22⋊C4—41no—
1133C22⋊C4—41no—
1134C22⋊C4—41no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—41no—
1138C22⋊C4—41no—
1139C22⋊C4—41no—
1140C22⋊C4—41no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—42no—
1151C22⋊C4—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—
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—
1184C22⋊C4—81no—
1185C22⋊C4—81no—
1186C22⋊C4—81no—
1187C42—21no—
1188C42—21no—
1189C42—21no—
1190C42—21no—
1191C42—21no—
1192C42—21no—
1193C42—21no—
1194C42—21no—
1195C42—21no—
1196C42—21no—
1197C42—42no—
1198C42—81no—
1199C42—81no—
1200C42—81no—
1201C42—81no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—22no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
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—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—84no—
1252C23—162no—
1253C23—162no—
1254C23—162no—
1255C23—162no—
1256C23—162no—
1257C23—162no—
1258C23C23×D411yescharacteristic
1259Q8—22no—
1260Q8—22no—
1261Q8—41no—
1262Q8—41no—
1263Q8—41no—
1264Q8—41no—
1265Q8—41no—
1266Q8—41no—
1267Q8—41no—
1268Q8—41no—
1269Q8—41no—
1270Q8—41no—
1271Q8—84no—
1272D4—22no—
1273D4—22no—
1274D4—41no—
1275D4—41no—
1276D4—41no—
1277D4—41no—
1278D4—41no—
1279D4—41no—
1280D4—41no—
1281D4—41no—
1282D4—41no—
1283D4—41no—
1284D4—41no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—84no—
1293D4—82no—
1294D4—84no—
1295D4—84no—
1296D4—162no—
1297D4—162no—
1298D4—162no—
1299D4—162no—
1300D4—162no—
1301D4—162no—
1302D4—162no—
1303D4—162no—
1304D4—162no—
1305D4—162no—
1306D4—162no—
1307D4—162no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—22no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—22no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—84no—
1386C2×C4—84no—
1387C2×C4—162no—
1388C2×C4—162no—
1389C2×C4—162no—
1390C2×C4—162no—
1391C2×C4C2×H(5,𝔽2)11yescharacteristic
1392C2×C4C2×H(5,𝔽2)11yescharacteristic
1393C2×C4C2×H(5,𝔽2)11yescharacteristic
1394C2×C4C2×H(5,𝔽2)11yescharacteristic
1395C2×C4C2×H(5,𝔽2)11yescharacteristic
1396C2×C4#58511yescharacteristic
1397C8—22no—
1398C8—22no—
1399C8—41no—
1400C8—41no—
1401C8—41no—
1402C8—41no—
1403C8—41no—
1404C8—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—42no—
1412C22—41no—
1413C22—41no—
1414C22—41no—
1415C22—41no—
1416C22—41no—
1417C22—42no—
1418C22—41no—
1419C22—42no—
1420C22—41no—
1421C22—41no—
1422C22—81no—
1423C22—81no—
1424C22—81no—
1425C22—81no—
1426C22—81no—
1427C22—81no—
1428C22—81no—
1429C22—81no—
1430C22—81no—
1431C22—81no—
1432C22—81no—
1433C22—81no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22—81no—
1439C22—81no—
1440C22—81no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—168no—
1455C22#348411yescharacteristic
1456C22#348811yescharacteristic
1457C22#349811yescharacteristic
1458C22#358411yescharacteristic
1459C22#358411yescharacteristic
1460C22#358511yescharacteristic
1461C22#358511yescharacteristic
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—42no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—42no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—81no—
1477C4—81no—
1478C4—81no—
1479C4—81no—
1480C4—81no—
1481C4—81no—
1482C4—81no—
1483C4—81no—
1484C4—81no—
1485C4#353211yescharacteristic
1486C4#353411yescharacteristic
1487C4#354311yescharacteristic
1488C4#354611yescharacteristic
1489C2—81no—
1490C2—81no—
1491C2—82no—
1492C2—161no—
1493C2—161no—
1494C2—161no—
1495C2—161no—
1496C2#4795211yescharacteristic
1497C2#6161411yescharacteristic
1498C2#6169011yescharacteristic
1499C2#6206111yescharacteristic
1500C2#6208111yescharacteristic
1501C2#6246811yescharacteristic
1502C2#6246811yescharacteristic
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. #45094C2semidirect
3. #32163C2semidirect
4. #31901C2semidirect
5. #31020C2semidirect
6. #30985C2semidirect
7. #30889C2semidirect
8. #30737C2semidirect
9. #30722C2semidirect
10. #30610C2semidirect
11. #30531C2semidirect
12. #30461C2semidirect
13. #30460C2semidirect
14. #30457C2semidirect
15. #29728C2semidirect
16. #29670C2semidirect
17. #29094C2semidirect
18. #28995C2semidirect
19. #28474C2semidirect
20. #28323C2semidirect
21. #27076C2semidirect
22. #26939C2semidirect
23. #26643C2semidirect
24. #25793C2semidirect
25. #25761C2semidirect
26. #25611C2semidirect
27. #25373C2semidirect
28. #24923C2semidirect
29. #24372C2semidirect
30. #23866C2semidirect
31. #22360C2semidirect
34. C2×#540C22semidirect
38. C2×#495C22semidirect
41. C2×#482C22semidirect
43. C2×#464C22semidirect
44. C2×#464C22semidirect
45. C2×#463C22semidirect
51. C2×#451C22semidirect
54. C2×#448C22semidirect
57. C2×#440C22semidirect
75. #2544C22semidirect
81. #2453C22semidirect
82. #2447C22semidirect
84. #2436C22semidirect
97. #2367C22semidirect
98. #2363C22semidirect
100. #2310C22semidirect
101. #2097C22semidirect
102. #2097C22semidirect
103. #2087C22semidirect
105. #2072C22semidirect
106. #2072C22semidirect
108. #2065C22semidirect
109. #2056C22semidirect
110. #2056C22semidirect
116. #2042C22semidirect
117. #2042C22semidirect
118. #2042C22semidirect
123. #2025C22semidirect
135. #2012C22semidirect
137. #2011C22semidirect
140. #2000C22semidirect
141. #2000C22semidirect
147. #1999C22semidirect
148. #1999C22semidirect
149. #1992C22semidirect
151. #1983C22semidirect
153. #1973C22semidirect
157. #1968C22semidirect
158. #1957C22semidirect
160. #1939C22semidirect
162. #1935C22semidirect
164. #1933C22semidirect
166. #1926C22semidirect
168. #1924C22semidirect
170. #1923C22semidirect
171. #1918C22semidirect
172. #1918C22semidirect
173. #1916C22semidirect
174. #1916C22semidirect
182. #1879C22semidirect
183. #1878C22semidirect
184. #1877C22semidirect
185. #1877C22semidirect
186. #1877C22semidirect
188. #1873C22semidirect
190. #1865C22semidirect
191. #1864C22semidirect
193. #1804C22semidirect
194. #1804C22semidirect
195. #1798C22semidirect
198. #1771C22semidirect
199. C4×#103C22semidirect
200. C4×#102C22semidirect
202. #1750C22semidirect

Maximal subgroups

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

subgroupindex
#529772
#450942
#321632
#319012
#310202
#309852
#308892
#307372
#307222
#306102
#305312
#304612
#304602
#304572
#297282
#296702
#290942
#289952
#284742
#283232
#270762
#269392
#266432
#257932
#257612
#256112
#253732
#249232
#243722
#238662
#223602