Finite Group Databasebeta

← #7361650

Subgroups — #7361650

Order 512.

1969 conjugacy classes of subgroups.

The subgroup lattice has 1497 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59044C211yesmaximal, characteristic, complemented
2#39359C211yesmaximal, characteristic, complemented
3#31542C211yesmaximal, characteristic, complemented
4#31523C211yesmaximal, characteristic, complemented
5#31376C211yesmaximal, characteristic, complemented
6#31354C211yesmaximal, characteristic, complemented
7#31342C211yesmaximal, characteristic, complemented
8#31328C211yesmaximal, characteristic, complemented
9#31032C211yesmaximal, characteristic, complemented
10#31017C211yesmaximal, characteristic, complemented
11#30605C211yesmaximal, characteristic, complemented
12#30592C211yesmaximal, characteristic, complemented
13#30575C211yesmaximal, characteristic, complemented
14#30571C211yesmaximal, characteristic, complemented
15#30105C211yesmaximal, characteristic, complemented
16#29662C211yesmaximal, characteristic, complemented
17#29238C211yesmaximal, characteristic, complemented
18#26916C211yesmaximal, characteristic, complemented
19#26890C211yesmaximal, characteristic, complemented
20#25975C211yesmaximal, characteristic, complemented
21#25950C211yesmaximal, characteristic, complemented
22#25179C211yesmaximal, characteristic, complemented
23#25148C211yesmaximal, characteristic, complemented
24#24444C211yesmaximal, characteristic, complemented
25#24434C211yesmaximal, characteristic, complemented
26#24132C211yesmaximal, characteristic, complemented
27#24116C211yesmaximal, characteristic, complemented
28#24067C211yesmaximal, characteristic, complemented
29#23972C211yesmaximal, characteristic, complemented
30#23960C211yesmaximal, characteristic, complemented
31#23329C211yesmaximal, characteristic, complemented
32C2×#547C2211yescharacteristic
33C2×#547C2211yescharacteristic, complemented
34C2×#546C2211yescharacteristic
35C2×#537—21no—
36C2×#529C2211yescharacteristic
37C2×#484C2211yescharacteristic, complemented
38C2×#481C2211yescharacteristic
39C2×#477C2211yescharacteristic, complemented
40C2×#474C2211yescharacteristic
41C2×#469C2211yescharacteristic
42C2×#465C2211yescharacteristic
43C2×#460C2211yescharacteristic, complemented
44C2×#459C2211yescharacteristic
45C2×#449C2211yescharacteristic
46C2×#449C2211yescharacteristic
47C2×#447C2211yescharacteristic
48C2×#447C2211yescharacteristic
49C2×#440C2211yescharacteristic, complemented
50C2×C4×D8C2211yescharacteristic
51C2×#417C2211yescharacteristic
52C22×#102C2211yescharacteristic
53#2856C2211yescharacteristic, complemented
54#2695—21no—
55#2685—21no—
56#2683—21no—
57#2682—21no—
58#2681—21no—
59#2681—21no—
60#2618—21no—
61#2566C2211yescharacteristic
62#2562C2211yescharacteristic
63#2537C2211yescharacteristic
64#2536C2211yescharacteristic
65#2476—21no—
66#2464—21no—
67#2457—21no—
68#2452C2211yescharacteristic, complemented
69#2452C2211yescharacteristic, complemented
70#2440C2211yescharacteristic
71#2440C2211yescharacteristic, complemented
72#2430—21no—
73#2430—21no—
74#2428C2211yescharacteristic
75#2428C2211yescharacteristic, complemented
76#2424—21no—
77#2423C2211yescharacteristic
78#2420C2211yescharacteristic
79#2418—21no—
80#2416C2211yescharacteristic
81#2416C2211yescharacteristic
82#2416C2211yescharacteristic
83#2416C2211yescharacteristic, complemented
84#2408C2211yescharacteristic
85#2407C2211yescharacteristic
86#2367C2211yescharacteristic
87#2342—21no—
88#2341C2211yescharacteristic
89D4×C22⋊C4C2211yescharacteristic
90C4×#121C2211yescharacteristic
91C4×#121C2211yescharacteristic
92C2×#389C2211yescharacteristic, complemented
93#2099C2211yescharacteristic, complemented
94#2094C2211yescharacteristic, complemented
95#2093C2211yescharacteristic
96#2092C2211yescharacteristic, complemented
97#2088C2211yescharacteristic, complemented
98#2088C2211yescharacteristic, complemented
99#2085C2211yescharacteristic, complemented
100#2084C2211yescharacteristic, complemented
101#2077C2211yescharacteristic
102#2076C2211yescharacteristic, complemented
103#2067C2211yescharacteristic
104#2067C2211yescharacteristic
105#2067C2211yescharacteristic
106#2065C2211yescharacteristic
107#2059C2211yescharacteristic, complemented
108#2059C2211yescharacteristic, complemented
109#2055C2211yescharacteristic, complemented
110#2054C2211yescharacteristic
111#2042C2211yescharacteristic
112#2042C2211yescharacteristic
113#2041C2211yescharacteristic, complemented
114#2035C2211yescharacteristic
115#2034C2211yescharacteristic
116#2034C2211yescharacteristic
117#2034C2211yescharacteristic, complemented
118#2033C2211yescharacteristic
119#2033C2211yescharacteristic
120#2033C2211yescharacteristic, complemented
121#2033C2211yescharacteristic, complemented
122#2033C2211yescharacteristic, complemented
123#2033C2211yescharacteristic, complemented
124#2025C2211yescharacteristic, complemented
125#2025C2211yescharacteristic, complemented
126#2024C2211yescharacteristic, complemented
127#2023C2211yescharacteristic
128#2023C2211yescharacteristic
129#2023C2211yescharacteristic
130#2012C2211yescharacteristic
131#2012C2211yescharacteristic
132#2011C2211yescharacteristic
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic, complemented
135#2000C2211yescharacteristic, complemented
136#1999C2211yescharacteristic
137#1999C2211yescharacteristic
138#1999C2211yescharacteristic
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1993C2211yescharacteristic, complemented
142#1990C2211yescharacteristic, complemented
143#1972C2211yescharacteristic
144#1970C2211yescharacteristic
145#1955C2211yescharacteristic
146#1954C2211yescharacteristic, complemented
147#1936C2211yescharacteristic
148#1933C2211yescharacteristic, complemented
149#1925C2211yescharacteristic, complemented
150#1925C2211yescharacteristic, complemented
151#1924C2211yescharacteristic, complemented
152#1923C2211yescharacteristic
153#1921C2211yescharacteristic, complemented
154#1921C2211yescharacteristic, complemented
155#1917C2211yescharacteristic, complemented
156#1916C2211yescharacteristic, complemented
157#1895C2211yescharacteristic, complemented
158#1893C2211yescharacteristic
159#1880C2211yescharacteristic, complemented
160#1879C2211yescharacteristic
161#1879C2211yescharacteristic
162#1879C2211yescharacteristic
163#1879C2211yescharacteristic
164#1879C2211yescharacteristic
165#1879C2211yescharacteristic
166#1877C2211yescharacteristic, complemented
167#1874C2211yescharacteristic
168#1874C2211yescharacteristic
169#1874C2211yescharacteristic
170#1874C2211yescharacteristic
171#1872C2211yescharacteristic
172#1872C2211yescharacteristic, complemented
173#1870C2211yescharacteristic
174#1870C2211yescharacteristic, complemented
175#1869C2211yescharacteristic
176#1869C2211yescharacteristic
177#1865C2211yescharacteristic, complemented
178#1865C2211yescharacteristic, complemented
179#1864C2211yescharacteristic
180#1864C2211yescharacteristic
181#1863C2211yescharacteristic, complemented
182#1862C2211yescharacteristic
183#1862C2211yescharacteristic
184#1862C2211yescharacteristic
185#1853C2211yescharacteristic, complemented
186#1852C2211yescharacteristic
187#1852C2211yescharacteristic, complemented
188#1852C2211yescharacteristic, complemented
189#1851C2211yescharacteristic, complemented
190#1850C2211yescharacteristic
191#1824C2211yescharacteristic, complemented
192#1823C2211yescharacteristic
193#1817C2211yescharacteristic, complemented
194#1809C2211yescharacteristic, complemented
195#1808C2211yescharacteristic
196#1804C2211yescharacteristic, complemented
197#1803C2211yescharacteristic, complemented
198#1802C2211yescharacteristic
199#1802C2211yescharacteristic, complemented
200#1797C2211yescharacteristic, complemented
201#1788C2211yescharacteristic
202#1786C2211yescharacteristic
203C22×#41—21no—
204C22×#41—21no—
205C22×#41C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×D8C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×M16C2311yescharacteristic
214C23×C8C2311yescharacteristic
215#547—42no—
216#547—42no—
217#547—42no—
218#547—42no—
219#546—42no—
220#546—42no—
221#537—48no—
222C2×C4⋊Q8C2311yescharacteristic
223C2×C4⋊Q8C2311yescharacteristic
224C2×#127C2311yescharacteristic
225#529—42no—
226#529—42no—
227C2×#126—21no—
228C2×#125C2311yescharacteristic
229C2×#124C2311yescharacteristic
230C2×#123—21no—
231C2×#123—21no—
232C2×#123—21no—
233C2×#123—21no—
234C2×#123—21no—
235C2×#123—21no—
236C2×C22⋊Q8—21no—
237C2×C22⋊Q8—21no—
238C2×C22⋊Q8—21no—
239C2×C22⋊Q8—21no—
240C2×C22⋊Q8—21no—
241C2×C22⋊Q8—21no—
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×#121—21no—
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121D411yescharacteristic
255C2×#121C2311yescharacteristic
256C2×#121C2311yescharacteristic
257C2×#121C2311yescharacteristic
258C2×#121C2311yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#120—21no—
265C2×#120—21no—
266C2×C4×Q8C2311yescharacteristic
267C2×C4×Q8C2311yescharacteristic
268C2×C4×D4—21no—
269C2×C4×D4—21no—
270C2×C4×D4C2311yescharacteristic
271C2×C4×D4C2311yescharacteristic
272C2×C4×D4C2311yescharacteristic
273C2×C4×D4C2311yescharacteristic
274C2×C4×D4C2311yescharacteristic
275C2×C4×D4C2311yescharacteristic
276C2×C4×D4C2311yescharacteristic
277C2×C4×D4C2311yescharacteristic
278C2×#117—21no—
279C22×C4⋊C4—21no—
280C22×C4⋊C4C2311yescharacteristic
281C22×C4⋊C4C2311yescharacteristic
282C22×C4⋊C4C2311yescharacteristic
283C22×C4⋊C4C2311yescharacteristic
284C22×C22⋊C4—21no—
285C22×C22⋊C4—21no—
286C22×C42C2311yescharacteristic
287#484—42no—
288#481—42no—
289#477—42no—
290#474—42no—
291#469—42no—
292#465—42no—
293#460—42no—
294#459—42no—
295#449—42no—
296#449—42no—
297#447—42no—
298#447—42no—
299#440—42no—
300C4×D8—42no—
301C2×#107C2311yescharacteristic
302C2×#107C2311yescharacteristic
303C2×#107C2311yescharacteristic
304C2×#107C2311yescharacteristic
305C2×#107C2311yescharacteristic
306C2×#107C2311yescharacteristic
307C2×#106C2311yescharacteristic
308C2×#106C2311yescharacteristic
309C2×#106C2311yescharacteristic
310C2×#106C2311yescharacteristic
311C2×C4⋊C8C2311yescharacteristic
312C2×C4⋊C8C2311yescharacteristic
313C2×C4⋊C8C2311yescharacteristic
314C2×C4⋊C8C2311yescharacteristic
315#417—42no—
316C2×#103C2311yescharacteristic
317C2×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#102—42no—
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×#102C2311yescharacteristic
336C2×#102C2311yescharacteristic
337C2×#102C2311yescharacteristic
338C2×#102C2311yescharacteristic
339C2×#102C2311yescharacteristic
340C2×#102C2311yescharacteristic
341C2×#102C2311yescharacteristic
342C2×#102C2311yescharacteristic
343C2×#102C2311yescharacteristic
344C2×#102C2311yescharacteristic
345C2×C22⋊C8C2311yescharacteristic
346C2×C22⋊C8C2311yescharacteristic
347C2×C22⋊C8C2311yescharacteristic
348C2×C22⋊C8C2311yescharacteristic
349C2×C22⋊C8C2311yescharacteristic
350C2×C22⋊C8C2311yescharacteristic
351C2×C22⋊C8C2311yescharacteristic
352C2×C22⋊C8C2311yescharacteristic
353C2×C22⋊C8C2311yescharacteristic
354C2×C22⋊C8C2311yescharacteristic
355C2×#97C2311yescharacteristic
356C2×C4×C8C2311yescharacteristic
357#400—21no—
358#399—21no—
359#398—21no—
360#398—21no—
361#398—21no—
362#398—21no—
363#397—21no—
364#396—21no—
365#396—21no—
366#396—21no—
367#396—21no—
368#396—21no—
369#396—21no—
370#396—21no—
371#396—21no—
372#395—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#393—21no—
388#393—21no—
389#392—21no—
390#392—21no—
391#392—21no—
392#392—21no—
393#391C2311yescharacteristic
394#390—21no—
395#390—21no—
396#390—21no—
397#390—21no—
398#390D411yescharacteristic
399#390C2311yescharacteristic
400#390C2311yescharacteristic
401#390C2311yescharacteristic
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#389—21no—
408#389—21no—
409#389D411yescharacteristic
410#389C2311yescharacteristic
411#389C2311yescharacteristic
412#389C2311yescharacteristic
413#389C2311yescharacteristic
414#389C2311yescharacteristic
415#389C2311yescharacteristic
416#389C2311yescharacteristic
417#388—21no—
418#388—21no—
419#388—21no—
420#388—21no—
421#388—21no—
422#388—21no—
423#388—21no—
424#388—21no—
425#388D411yescharacteristic
426#388D411yescharacteristic
427#387—21no—
428#386—21no—
429#386—21no—
430#386—21no—
431#386—21no—
432#386—21no—
433#386—21no—
434#386—21no—
435#386—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386D411yescharacteristic
440#386D411yescharacteristic
441#385—21no—
442#385—21no—
443#385—21no—
444#385—21no—
445#385—21no—
446#385—21no—
447#385—21no—
448#385—21no—
449#384C2311yescharacteristic
450#384C2311yescharacteristic
451#382C2311yescharacteristic
452#381—21no—
453#380—21no—
454#380—21no—
455#380D411yescharacteristic
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#379—21no—
464#379—21no—
465C4×C4⋊C4C2311yescharacteristic
466C4×C4⋊C4C2311yescharacteristic
467C4×C22⋊C4—21no—
468C4×C22⋊C4—21no—
469C4×C22⋊C4—21no—
470C4×C22⋊C4C2311yescharacteristic
471C4×C22⋊C4C2311yescharacteristic
472C2×#95—21no—
473#340C2311yescharacteristic
474#340C2311yescharacteristic
475#340C2311yescharacteristic
476#340C2311yescharacteristic
477#340C2311yescharacteristic
478#340C2311yescharacteristic
479#340C2311yescharacteristic
480#340C2311yescharacteristic
481#340C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
486#340C2311yescharacteristic
487#340C2311yescharacteristic
488#340C2311yescharacteristic
489#340C2311yescharacteristic
490#340C2311yescharacteristic
491#340C2311yescharacteristic
492#340C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503C25—21no—
504C2×#41—22no—
505C2×#41—22no—
506C2×#41—41no—
507C2×#41—41no—
508C2×#41—44no—
509C2×#41—44no—
510C2×#41—41no—
511C2×#41—41no—
512C2×#41—44no—
513C2×#41—44no—
514C2×#41—82no—
515C2×#41—82no—
516C22×Q8—21no—
517C22×Q8—21no—
518C22×Q8C2411yescharacteristic
519C22×D4—22no—
520C22×D4—22no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—21no—
529C22×D4—21no—
530C22×D4—21no—
531C22×D4—21no—
532C22×D4—21no—
533C22×D4—21no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4C2×D411yescharacteristic
539C22×D4C2×D411yescharacteristic
540C22×D4C2×D411yescharacteristic
541C22×D4C2411yescharacteristic
542C22×D4C2411yescharacteristic
543C22×D4C2411yescharacteristic
544C22×D4C2411yescharacteristic
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4C2×D411yescharacteristic
556C23×C4C2×D411yescharacteristic
557C23×C4C2411yescharacteristic
558C23×C4C2411yescharacteristic
559C23×C4C2411yescharacteristic
560C2×SD16—22no—
561C2×SD16—22no—
562C2×SD16—41no—
563C2×SD16—41no—
564C2×SD16—41no—
565C2×SD16—41no—
566C2×D8—22no—
567C2×D8—22no—
568C2×D8—22no—
569C2×D8—22no—
570C2×D8—41no—
571C2×D8—41no—
572C2×D8—41no—
573C2×D8—41no—
574C2×D8—41no—
575C2×D8—41no—
576C2×D8—41no—
577C2×D8—41no—
578C2×M16—41no—
579C2×M16—41no—
580C2×M16—41no—
581C22×C8—41no—
582C22×C8—41no—
583C22×C8—41no—
584C22×C8C2411yescharacteristic
585C22×C8C2411yescharacteristic
586C22×C8C2411yescharacteristic
587C22×C8C2411yescharacteristic
588C22×C8C2411yescharacteristic
589C22×C8C2411yescharacteristic
590C22×C8C2411yescharacteristic
591C22×C8C2411yescharacteristic
592C4⋊Q8—22no—
593C4⋊Q8—22no—
594C4⋊Q8—41no—
595C4⋊Q8—41no—
596#127—41no—
597#127—41no—
598#126—44no—
599#125—41no—
600#125—41no—
601#124—22no—
602#124—22no—
603#123—44no—
604#123—44no—
605#123—44no—
606#123—44no—
607#123—44no—
608#123—44no—
609C22⋊Q8—22no—
610C22⋊Q8—22no—
611C22⋊Q8—44no—
612C22⋊Q8—41no—
613C22⋊Q8—41no—
614C22⋊Q8—44no—
615C22⋊Q8—44no—
616C22⋊Q8—44no—
617C22⋊Q8—44no—
618C22⋊Q8—44no—
619#121—24no—
620#121—22no—
621#121—22no—
622#121—22no—
623#121—22no—
624#121—22no—
625#121—44no—
626#121—44no—
627#121—41no—
628#121—41no—
629#121—41no—
630#121—41no—
631#121—41no—
632#121—41no—
633#121—41no—
634#121—41no—
635#121—41no—
636#121—44no—
637#121—44no—
638#121—44no—
639#121—44no—
640#121—44no—
641#121—44no—
642#121—41no—
643#121—41no—
644#121—41no—
645#121—41no—
646#121—82no—
647#121—82no—
648#120—44no—
649#120—82no—
650C4×Q8—22no—
651C4×Q8—41no—
652C4×Q8—41no—
653C4×Q8—41no—
654C4×D4—22no—
655C4×D4—22no—
656C4×D4—22no—
657C4×D4—41no—
658C4×D4—41no—
659C4×D4—41no—
660C4×D4—41no—
661C4×D4—41no—
662C4×D4—41no—
663C4×D4—41no—
664C4×D4—41no—
665C4×D4—41no—
666C4×D4—41no—
667C4×D4—41no—
668C4×D4—41no—
669C4×D4—41no—
670C4×D4—44no—
671C4×D4—82no—
672#117—44no—
673C2×C4⋊C4—21no—
674C2×C4⋊C4—22no—
675C2×C4⋊C4—22no—
676C2×C4⋊C4—22no—
677C2×C4⋊C4—22no—
678C2×C4⋊C4—21no—
679C2×C4⋊C4—21no—
680C2×C4⋊C4—21no—
681C2×C4⋊C4—21no—
682C2×C4⋊C4—21no—
683C2×C4⋊C4—21no—
684C2×C4⋊C4—21no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—21no—
689C2×C4⋊C4—21no—
690C2×C4⋊C4—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—41no—
701C2×C4⋊C4—41no—
702C2×C4⋊C4—41no—
703C2×C4⋊C4—41no—
704C2×C4⋊C4—44no—
705C2×C4⋊C4C2×D411yescharacteristic
706C2×C4⋊C4C2×D411yescharacteristic
707C2×C4⋊C4C2×D411yescharacteristic
708C2×C4⋊C4C2×D411yescharacteristic
709C2×C4⋊C4C2×D411yescharacteristic
710C2×C4⋊C4C2411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
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×C4⋊C4C2411yescharacteristic
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—44no—
763C2×C22⋊C4—44no—
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×C22⋊C4C2×D411yescharacteristic
774C2×C42—21no—
775C2×C42—21no—
776C2×C42—21no—
777C2×C42—41no—
778C2×C42—41no—
779C2×C42C2×D411yescharacteristic
780C2×C42C2×D411yescharacteristic
781C2×C42C2411yescharacteristic
782C2×C42C2411yescharacteristic
783C2×C42C2411yescharacteristic
784C2×C42C2411yescharacteristic
785#107—22no—
786#107—22no—
787#107—41no—
788#107—41no—
789#107—41no—
790#107—41no—
791#106—41no—
792#106—41no—
793#106—41no—
794#106—41no—
795C4⋊C8—41no—
796C4⋊C8—41no—
797C4⋊C8—41no—
798C4⋊C8—41no—
799#103—22no—
800#103—22no—
801#103—22no—
802#103—22no—
803#103—41no—
804#103—41no—
805#102—22no—
806#102—22no—
807#102—22no—
808#102—22no—
809#102—22no—
810#102—22no—
811#102—41no—
812#102—41no—
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—
827C22⋊C8—41no—
828C22⋊C8—41no—
829C22⋊C8—41no—
830C22⋊C8—41no—
831C22⋊C8—41no—
832C22⋊C8—41no—
833C22⋊C8—41no—
834C22⋊C8—41no—
835C22⋊C8—41no—
836C22⋊C8—41no—
837#97—41no—
838C4×C8—41no—
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#95C2×D411yescharacteristic
859#95C2×D411yescharacteristic
860#95C2×D411yescharacteristic
861#95C2×D411yescharacteristic
862#95C2×D411yescharacteristic
863#95C2×D411yescharacteristic
864C24—21no—
865C24—21no—
866C24—21no—
867C24—21no—
868C24—42no—
869C24—42no—
870C24—42no—
871C24—81no—
872C24—81no—
873C24—81no—
874C24—81no—
875C24C22×D411yescharacteristic
876C24C22×D411yescharacteristic
877C24C22×D411yescharacteristic
878#41—44no—
879#41—82no—
880#41—82no—
881#41—82no—
882#41—816no—
883#41—816no—
884C2×Q8—21no—
885C2×Q8—21no—
886C2×Q8—21no—
887C2×Q8—21no—
888C2×Q8—21no—
889C2×Q8—42no—
890C2×Q8—42no—
891C2×Q8—42no—
892C2×Q8—42no—
893C2×Q8—81no—
894C2×Q8—81no—
895C2×Q8H(5,𝔽2)12yes—
896C2×D4—22no—
897C2×D4—22no—
898C2×D4—22no—
899C2×D4—22no—
900C2×D4—22no—
901C2×D4—21no—
902C2×D4—21no—
903C2×D4—21no—
904C2×D4—21no—
905C2×D4—21no—
906C2×D4—21no—
907C2×D4—21no—
908C2×D4—21no—
909C2×D4—21no—
910C2×D4—21no—
911C2×D4—21no—
912C2×D4—21no—
913C2×D4—21no—
914C2×D4—21no—
915C2×D4—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—41no—
924C2×D4—41no—
925C2×D4—41no—
926C2×D4—41no—
927C2×D4—42no—
928C2×D4—42no—
929C2×D4—42no—
930C2×D4—42no—
931C2×D4—42no—
932C2×D4—42no—
933C2×D4—44no—
934C2×D4—42no—
935C2×D4—42no—
936C2×D4—42no—
937C2×D4—42no—
938C2×D4—42no—
939C2×D4—42no—
940C2×D4—42no—
941C2×D4—42no—
942C2×D4—42no—
943C2×D4—42no—
944C2×D4—42no—
945C2×D4—42no—
946C2×D4—42no—
947C2×D4—42no—
948C2×D4—42no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4—81no—
955C2×D4—81no—
956C2×D4—82no—
957C2×D4—82no—
958C2×D4—82no—
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×D4H(5,𝔽2)12yes—
971C2×D42−1+412yes—
972C22×C4—24no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—22no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—21no—
982C22×C4—21no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
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—22no—
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—41no—
1006C22×C4—41no—
1007C22×C4—41no—
1008C22×C4—41no—
1009C22×C4—42no—
1010C22×C4—42no—
1011C22×C4—42no—
1012C22×C4—42no—
1013C22×C4—42no—
1014C22×C4—42no—
1015C22×C4—42no—
1016C22×C4—42no—
1017C22×C4—42no—
1018C22×C4—42no—
1019C22×C4—42no—
1020C22×C4—42no—
1021C22×C4—42no—
1022C22×C4—42no—
1023C22×C4—42no—
1024C22×C4—42no—
1025C22×C4—42no—
1026C22×C4—81no—
1027C22×C4—81no—
1028C22×C4—81no—
1029C22×C4—81no—
1030C22×C4—81no—
1031C22×C4—81no—
1032C22×C4—81no—
1033C22×C4—81no—
1034C22×C4—81no—
1035C22×C4—81no—
1036C22×C4—81no—
1037C22×C4—81no—
1038C22×C4C22×D411yescharacteristic
1039C22×C4C22×D411yescharacteristic
1040C22×C4C22×D411yescharacteristic
1041C22×C4C22×D411yescharacteristic
1042C22×C4C22×D411yescharacteristic
1043C22×C4C22×D411yescharacteristic
1044C22×C4C22×D411yescharacteristic
1045C22×C4C22×D411yescharacteristic
1046C22×C4C22×D411yescharacteristic
1047C22×C4C22×D411yescharacteristic
1048C22×C4C22×D411yescharacteristic
1049C22×C4C2511yescharacteristic
1050SD16—44no—
1051SD16—82no—
1052D8—44no—
1053D8—82no—
1054D8—82no—
1055D8—82no—
1056M16—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—21no—
1080C2×C8—21no—
1081C2×C8—82no—
1082C4⋊C4—24no—
1083C4⋊C4—22no—
1084C4⋊C4—21no—
1085C4⋊C4—21no—
1086C4⋊C4—21no—
1087C4⋊C4—21no—
1088C4⋊C4—21no—
1089C4⋊C4—21no—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—21no—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—21no—
1097C4⋊C4—21no—
1098C4⋊C4—21no—
1099C4⋊C4—21no—
1100C4⋊C4—21no—
1101C4⋊C4—21no—
1102C4⋊C4—21no—
1103C4⋊C4—21no—
1104C4⋊C4—41no—
1105C4⋊C4—41no—
1106C4⋊C4—41no—
1107C4⋊C4—41no—
1108C4⋊C4—42no—
1109C4⋊C4—42no—
1110C4⋊C4—42no—
1111C4⋊C4—42no—
1112C4⋊C4—42no—
1113C4⋊C4—42no—
1114C4⋊C4—42no—
1115C4⋊C4—42no—
1116C4⋊C4—42no—
1117C4⋊C4—42no—
1118C4⋊C4—42no—
1119C4⋊C4—42no—
1120C4⋊C4—42no—
1121C4⋊C4—42no—
1122C4⋊C4—42no—
1123C4⋊C4—42no—
1124C4⋊C4—81no—
1125C4⋊C4—81no—
1126C4⋊C4—81no—
1127C4⋊C4—81no—
1128C4⋊C4—81no—
1129C4⋊C4—81no—
1130C4⋊C4H(5,𝔽2)12yes—
1131C4⋊C4H(5,𝔽2)12yes—
1132C22⋊C4—24no—
1133C22⋊C4—24no—
1134C22⋊C4—22no—
1135C22⋊C4—41no—
1136C22⋊C4—41no—
1137C22⋊C4—41no—
1138C22⋊C4—41no—
1139C22⋊C4—41no—
1140C22⋊C4—41no—
1141C22⋊C4—41no—
1142C22⋊C4—41no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—42no—
1151C22⋊C4—42no—
1152C22⋊C4—42no—
1153C22⋊C4—42no—
1154C22⋊C4—42no—
1155C22⋊C4—42no—
1156C22⋊C4—42no—
1157C22⋊C4—42no—
1158C22⋊C4—42no—
1159C22⋊C4—42no—
1160C22⋊C4—42no—
1161C22⋊C4—42no—
1162C22⋊C4—42no—
1163C22⋊C4—42no—
1164C22⋊C4—42no—
1165C22⋊C4—42no—
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⋊C4AGL(1,ℤ/8)14yes—
1183C42—21no—
1184C42—21no—
1185C42—21no—
1186C42—21no—
1187C42—21no—
1188C42—21no—
1189C42—21no—
1190C42—21no—
1191C42—41no—
1192C42—41no—
1193C42—42no—
1194C42—81no—
1195C42—81no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—22no—
1211C23—21no—
1212C23—21no—
1213C23—22no—
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—84no—
1244C23—84no—
1245C23—84no—
1246C23—162no—
1247C23—162no—
1248C23—162no—
1249C23—162no—
1250C23C2×AGL(1,ℤ/8)12yes—
1251C23#57612yes—
1252C23C23×D411yescharacteristic
1253Q8—22no—
1254Q8—22no—
1255Q8—41no—
1256Q8—41no—
1257Q8—84no—
1258Q8—84no—
1259D4—22no—
1260D4—22no—
1261D4—22no—
1262D4—22no—
1263D4—44no—
1264D4—44no—
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—82no—
1278D4—84no—
1279D4—84no—
1280D4—84no—
1281D4—84no—
1282D4—84no—
1283D4—84no—
1284D4—84no—
1285D4—84no—
1286D4—162no—
1287D4—162no—
1288D4—162no—
1289D4—162no—
1290D4—162no—
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—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—22no—
1315C2×C4—22no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—48no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—82no—
1372C2×C4—84no—
1373C2×C4—84no—
1374C2×C4—82no—
1375C2×C4—84no—
1376C2×C4—84no—
1377C2×C4—84no—
1378C2×C4—84no—
1379C2×C4—162no—
1380C2×C4—162no—
1381C2×C4—162no—
1382C2×C4C2×AGL(1,ℤ/8)12yes—
1383C2×C4C2×AGL(1,ℤ/8)12yes—
1384C2×C4C2×H(5,𝔽2)11yescharacteristic
1385C2×C4C2×H(5,𝔽2)11yescharacteristic
1386C2×C4C2×H(5,𝔽2)11yescharacteristic
1387C2×C4C2×H(5,𝔽2)11yescharacteristic
1388C2×C4C2×2−1+411yescharacteristic
1389C2×C4#58511yescharacteristic
1390C8—41no—
1391C8—41no—
1392C8—41no—
1393C8—41no—
1394C8—41no—
1395C8—41no—
1396C8—41no—
1397C8—41no—
1398C22—22no—
1399C22—22no—
1400C22—22no—
1401C22—22no—
1402C22—22no—
1403C22—22no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—42no—
1413C22—41no—
1414C22—41no—
1415C22—42no—
1416C22—42no—
1417C22—41no—
1418C22—41no—
1419C22—42no—
1420C22—42no—
1421C22—41no—
1422C22—42no—
1423C22—41no—
1424C22—41no—
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—168no—
1448C22#348411yescharacteristic
1449C22#348411yescharacteristic
1450C22#348911yescharacteristic
1451C22C22×AGL(1,ℤ/8)11yescharacteristic
1452C22C2×#57611yescharacteristic
1453C22#358411yescharacteristic
1454C22#358611yescharacteristic
1455C4—22no—
1456C4—22no—
1457C4—41no—
1458C4—41no—
1459C4—41no—
1460C4—42no—
1461C4—41no—
1462C4—42no—
1463C4—42no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—81no—
1470C4—81no—
1471C4—81no—
1472C4—81no—
1473C4—81no—
1474C4—81no—
1475C4—81no—
1476C4—81no—
1477C4—81no—
1478C4#353611yescharacteristic
1479C4#353611yescharacteristic
1480C4#354211yescharacteristic
1481C4#354211yescharacteristic
1482C2—42no—
1483C2—42no—
1484C2—81no—
1485C2—82no—
1486C2—82no—
1487C2—161no—
1488C2—161no—
1489C2#4954611yescharacteristic
1490C2#6159111yescharacteristic
1491C2#6159811yescharacteristic
1492C2#6162411yescharacteristic
1493C2#6168111yescharacteristic
1494C2#6210711yescharacteristic
1495C2#6221111yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#121 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59044C2semidirect
2. #39359C2semidirect
3. #31542C2semidirect
4. #31523C2semidirect
5. #31376C2semidirect
6. #31354C2semidirect
7. #31342C2semidirect
8. #31328C2semidirect
9. #31032C2semidirect
10. #31017C2semidirect
11. #30605C2semidirect
12. #30592C2semidirect
13. #30575C2semidirect
14. #30571C2semidirect
15. #30105C2semidirect
16. #29662C2semidirect
17. #29238C2semidirect
18. #26916C2semidirect
19. #26890C2semidirect
20. #25975C2semidirect
21. #25950C2semidirect
22. #25179C2semidirect
23. #25148C2semidirect
24. #24444C2semidirect
25. #24434C2semidirect
26. #24132C2semidirect
27. #24116C2semidirect
28. #24067C2semidirect
29. #23972C2semidirect
30. #23960C2semidirect
31. #23329C2semidirect
33. C2×#547C22semidirect
37. C2×#484C22semidirect
39. C2×#477C22semidirect
43. C2×#460C22semidirect
49. C2×#440C22semidirect
53. #2856C22semidirect
68. #2452C22semidirect
69. #2452C22semidirect
71. #2440C22semidirect
75. #2428C22semidirect
83. #2416C22semidirect
92. C2×#389C22semidirect
93. #2099C22semidirect
94. #2094C22semidirect
96. #2092C22semidirect
97. #2088C22semidirect
98. #2088C22semidirect
99. #2085C22semidirect
100. #2084C22semidirect
102. #2076C22semidirect
107. #2059C22semidirect
108. #2059C22semidirect
109. #2055C22semidirect
113. #2041C22semidirect
117. #2034C22semidirect
120. #2033C22semidirect
121. #2033C22semidirect
122. #2033C22semidirect
123. #2033C22semidirect
124. #2025C22semidirect
125. #2025C22semidirect
126. #2024C22semidirect
134. #2000C22semidirect
135. #2000C22semidirect
141. #1993C22semidirect
142. #1990C22semidirect
146. #1954C22semidirect
148. #1933C22semidirect
149. #1925C22semidirect
150. #1925C22semidirect
151. #1924C22semidirect
153. #1921C22semidirect
154. #1921C22semidirect
155. #1917C22semidirect
156. #1916C22semidirect
157. #1895C22semidirect
159. #1880C22semidirect
166. #1877C22semidirect
172. #1872C22semidirect
174. #1870C22semidirect
177. #1865C22semidirect
178. #1865C22semidirect
181. #1863C22semidirect
185. #1853C22semidirect
187. #1852C22semidirect
188. #1852C22semidirect
189. #1851C22semidirect
191. #1824C22semidirect
193. #1817C22semidirect
194. #1809C22semidirect
196. #1804C22semidirect
197. #1803C22semidirect
199. #1802C22semidirect
200. #1797C22semidirect

Maximal subgroups

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

subgroupindex
#590442
#393592
#315422
#315232
#313762
#313542
#313422
#313282
#310322
#310172
#306052
#305922
#305752
#305712
#301052
#296622
#292382
#269162
#268902
#259752
#259502
#251792
#251482
#244442
#244342
#241322
#241162
#240672
#239722
#239602
#233292