Finite Group Databasebeta

← #7303085

Subgroups — #7303085

Order 512.

2005 conjugacy classes of subgroups.

The subgroup lattice has 1604 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59056C211yesmaximal, characteristic, complemented
2#39957C211yesmaximal, characteristic, complemented
3#31737C211yesmaximal, characteristic, complemented
4#31719C211yesmaximal, characteristic, complemented
5#30752C211yesmaximal, characteristic, complemented
6#30733C211yesmaximal, characteristic, complemented
7#30732C211yesmaximal, characteristic, complemented
8#30714C211yesmaximal, characteristic, complemented
9#30612C211yesmaximal, characteristic, complemented
10#30589C211yesmaximal, characteristic, complemented
11#30515C211yesmaximal, characteristic, complemented
12#30499C211yesmaximal, characteristic, complemented
13#30462C211yesmaximal, characteristic, complemented
14#30444C211yesmaximal, characteristic, complemented
15#30105C211yesmaximal, characteristic, complemented
16#29660C211yesmaximal, characteristic, complemented
17#28116C211yesmaximal, characteristic, complemented
18#26709C211yesmaximal, characteristic, complemented
19#26695C211yesmaximal, characteristic, complemented
20#26684C211yesmaximal, characteristic, complemented
21#26671C211yesmaximal, characteristic, complemented
22#25770C211yesmaximal, characteristic, complemented
23#25759C211yesmaximal, characteristic, complemented
24#25097C211yesmaximal, characteristic, complemented
25#25081C211yesmaximal, characteristic, complemented
26#24450C211yesmaximal, characteristic, complemented
27#24435C211yesmaximal, characteristic, complemented
28#23976C211yesmaximal, characteristic, complemented
29#23965C211yesmaximal, characteristic, complemented
30#23932C211yesmaximal, characteristic, complemented
31#23331C211yesmaximal, characteristic, complemented
32C2×#555C2211yescharacteristic
33C2×#550C2211yescharacteristic
34C2×#546C2211yescharacteristic
35C2×#532C2211yescharacteristic, complemented
36C2×#496C2211yescharacteristic
37C2×#493C2211yescharacteristic
38C2×#482C2211yescharacteristic, complemented
39C2×#469C2211yescharacteristic
40C2×#468C2211yescharacteristic
41C2×#466C2211yescharacteristic
42C2×#466C2211yescharacteristic
43C2×#460C2211yescharacteristic, complemented
44C2×#459C2211yescharacteristic
45C2×#459C2211yescharacteristic
46C2×#459C2211yescharacteristic
47C2×#449C2211yescharacteristic
48C2×#449C2211yescharacteristic
49C2×#449C2211yescharacteristic
50C2×#449C2211yescharacteristic, complemented
51C2×#449C2211yescharacteristic, complemented
52C2×#449C2211yescharacteristic, complemented
53C2×#447C2211yescharacteristic
54C2×#447C2211yescharacteristic
55C2×#447C2211yescharacteristic
56C2×#418C2211yescharacteristic
57C2×#416C2211yescharacteristic, complemented
58#2856C2211yescharacteristic
59#2733—21no—
60#2733—21no—
61#2673—21no—
62#2671—21no—
63#2669—21no—
64#2668—21no—
65#2661—21no—
66#2602—21no—
67#2541—21no—
68#2541C2211yescharacteristic
69#2541C2211yescharacteristic
70#2541C2211yescharacteristic, complemented
71#2541C2211yescharacteristic, complemented
72#2539—21no—
73#2448C2211yescharacteristic
74#2445C2211yescharacteristic
75#2433C2211yescharacteristic
76#2431—21no—
77#2431—21no—
78#2431C2211yescharacteristic
79#2428—21no—
80#2428C2211yescharacteristic
81#2428C2211yescharacteristic, complemented
82#2423C2211yescharacteristic
83#2422C2211yescharacteristic
84#2414—21no—
85#2414C2211yescharacteristic
86#2414C2211yescharacteristic
87#2414C2211yescharacteristic
88#2414C2211yescharacteristic, complemented
89#2408C2211yescharacteristic
90#2407C2211yescharacteristic
91#2369C2211yescharacteristic, complemented
92#2363—21no—
93#2363C2211yescharacteristic
94#2363C2211yescharacteristic, complemented
95#2321—21no—
96C4×#121C2211yescharacteristic
97C4×#121C2211yescharacteristic, complemented
98#2297C2211yescharacteristic
99#2099C2211yescharacteristic, complemented
100#2093C2211yescharacteristic, complemented
101#2087C2211yescharacteristic, complemented
102#2086C2211yescharacteristic, complemented
103#2068C2211yescharacteristic, complemented
104#2065C2211yescharacteristic
105#2055C2211yescharacteristic, complemented
106#2054C2211yescharacteristic
107#2054C2211yescharacteristic
108#2054C2211yescharacteristic, complemented
109#2042C2211yescharacteristic
110#2041C2211yescharacteristic
111#2041C2211yescharacteristic
112#2041C2211yescharacteristic, complemented
113#2041C2211yescharacteristic, complemented
114#2034C2211yescharacteristic, complemented
115#2033C2211yescharacteristic
116#2033C2211yescharacteristic
117#2033C2211yescharacteristic
118#2033C2211yescharacteristic, complemented
119#2033C2211yescharacteristic, complemented
120#2024C2211yescharacteristic, complemented
121#2023C2211yescharacteristic
122#2023C2211yescharacteristic
123#2023C2211yescharacteristic, complemented
124#2014C2211yescharacteristic, complemented
125#2012C2211yescharacteristic
126#2011C2211yescharacteristic
127#2011C2211yescharacteristic
128#2011C2211yescharacteristic
129#2011C2211yescharacteristic
130#2011C2211yescharacteristic
131#2011C2211yescharacteristic, complemented
132#2011C2211yescharacteristic, complemented
133#2000C2211yescharacteristic
134#2000C2211yescharacteristic
135#1999C2211yescharacteristic
136#1999C2211yescharacteristic
137#1999C2211yescharacteristic
138#1999C2211yescharacteristic
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic
142#1999C2211yescharacteristic
143#1999C2211yescharacteristic
144#1999C2211yescharacteristic, complemented
145#1999C2211yescharacteristic, complemented
146#1999C2211yescharacteristic, complemented
147#1983C2211yescharacteristic
148#1982C2211yescharacteristic
149#1955C2211yescharacteristic
150#1954C2211yescharacteristic, complemented
151#1936C2211yescharacteristic, complemented
152#1936C2211yescharacteristic, complemented
153#1934C2211yescharacteristic
154#1934C2211yescharacteristic, complemented
155#1927C2211yescharacteristic, complemented
156#1926C2211yescharacteristic
157#1925C2211yescharacteristic
158#1925C2211yescharacteristic
159#1925C2211yescharacteristic, complemented
160#1925C2211yescharacteristic, complemented
161#1924C2211yescharacteristic, complemented
162#1923C2211yescharacteristic
163#1921C2211yescharacteristic, complemented
164#1920C2211yescharacteristic, complemented
165#1917C2211yescharacteristic, complemented
166#1916C2211yescharacteristic, complemented
167#1895C2211yescharacteristic
168#1893C2211yescharacteristic, complemented
169#1880C2211yescharacteristic, complemented
170#1879C2211yescharacteristic
171#1879C2211yescharacteristic
172#1879C2211yescharacteristic
173#1879C2211yescharacteristic
174#1879C2211yescharacteristic
175#1879C2211yescharacteristic, complemented
176#1877C2211yescharacteristic, complemented
177#1877C2211yescharacteristic, complemented
178#1877C2211yescharacteristic, complemented
179#1875C2211yescharacteristic
180#1875C2211yescharacteristic
181#1875C2211yescharacteristic
182#1875C2211yescharacteristic, complemented
183#1875C2211yescharacteristic, complemented
184#1873C2211yescharacteristic
185#1870C2211yescharacteristic
186#1870C2211yescharacteristic
187#1869C2211yescharacteristic
188#1869C2211yescharacteristic, complemented
189#1863C2211yescharacteristic, complemented
190#1862C2211yescharacteristic
191#1851C2211yescharacteristic
192#1850C2211yescharacteristic, complemented
193#1825C2211yescharacteristic
194#1825C2211yescharacteristic, complemented
195#1825C2211yescharacteristic, complemented
196#1817C2211yescharacteristic, complemented
197#1802C2211yescharacteristic, complemented
198#1802C2211yescharacteristic, complemented
199#1797C2211yescharacteristic, complemented
200#1788C2211yescharacteristic
201#1762C2211yescharacteristic
202C4×#103C2211yescharacteristic, complemented
203C22×#41—21no—
204C22×#41C2311yescharacteristic
205C22×#41C2311yescharacteristic
206C23×D4C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×D8C2311yescharacteristic
211C22×D8C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×M16C2311yescharacteristic
220C23×C8C2311yescharacteristic
221#555—42no—
222#555—42no—
223#550—42no—
224#550—42no—
225#546—42no—
226#546—42no—
227#532—42no—
228#532—42no—
229C2×C4⋊Q8C2311yescharacteristic
230C2×#127—21no—
231C2×#127—21no—
232C2×#127—21no—
233C2×#127—21no—
234C2×#127C2311yescharacteristic
235C2×#127C2311yescharacteristic
236C2×#127C2311yescharacteristic
237C2×#127C2311yescharacteristic
238C2×#127C2311yescharacteristic
239C2×#124—21no—
240C2×#124—21no—
241C2×#124—21no—
242C2×#124C2311yescharacteristic
243C2×#123—21no—
244C2×#123—21no—
245C2×#123—21no—
246C2×C22⋊Q8C2311yescharacteristic
247C2×#121—21no—
248C2×#121—21no—
249C2×#121—21no—
250C2×#121—21no—
251C2×#121—21no—
252C2×#121—21no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—21no—
256C2×#121—21no—
257C2×#121—21no—
258C2×#121D411yescharacteristic
259C2×#121C2311yescharacteristic
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#121C2311yescharacteristic
271C2×#121C2311yescharacteristic
272C2×#121C2311yescharacteristic
273C2×#120—21no—
274C2×#120—21no—
275C2×#120—21no—
276C2×#120—21no—
277C2×C4×Q8C2311yescharacteristic
278C2×C4×D4—21no—
279C2×C4×D4—21no—
280C2×C4×D4—21no—
281C2×C4×D4C2311yescharacteristic
282C2×C4×D4C2311yescharacteristic
283C2×C4×D4C2311yescharacteristic
284C2×C4×D4C2311yescharacteristic
285C2×C4×D4C2311yescharacteristic
286C2×C4×D4C2311yescharacteristic
287C2×C4×D4C2311yescharacteristic
288C2×#117—21no—
289C2×#117C2311yescharacteristic
290C2×#117C2311yescharacteristic
291C2×#117C2311yescharacteristic
292C22×C22⋊C4—21no—
293C22×C42C2311yescharacteristic
294#496—42no—
295#493—42no—
296#482—42no—
297#469—42no—
298#468—42no—
299#466—42no—
300#466—42no—
301#460—42no—
302#459—42no—
303#459—42no—
304#459—42no—
305#449—42no—
306#449—42no—
307#449—42no—
308#449—42no—
309#449—42no—
310#449—42no—
311#447—42no—
312#447—42no—
313#447—42no—
314C2×#107C2311yescharacteristic
315C2×#107C2311yescharacteristic
316C2×#107C2311yescharacteristic
317C2×#106C2311yescharacteristic
318C2×C4⋊C8C2311yescharacteristic
319C2×C4⋊C8C2311yescharacteristic
320C2×C4⋊C8C2311yescharacteristic
321C2×C4⋊C8C2311yescharacteristic
322#418—42no—
323#416—42no—
324C2×#103C2311yescharacteristic
325C2×#103C2311yescharacteristic
326C2×#103C2311yescharacteristic
327C2×#103C2311yescharacteristic
328C2×#103C2311yescharacteristic
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×#102C2311yescharacteristic
346C2×#102C2311yescharacteristic
347C2×#102C2311yescharacteristic
348C2×#102C2311yescharacteristic
349C2×#102C2311yescharacteristic
350C2×#102C2311yescharacteristic
351C2×#102C2311yescharacteristic
352C2×#102C2311yescharacteristic
353C2×#102C2311yescharacteristic
354C2×#102C2311yescharacteristic
355C2×#102C2311yescharacteristic
356C2×C22⋊C8C2311yescharacteristic
357C2×C22⋊C8C2311yescharacteristic
358C2×C22⋊C8C2311yescharacteristic
359C2×C22⋊C8C2311yescharacteristic
360C2×C22⋊C8C2311yescharacteristic
361C2×C22⋊C8C2311yescharacteristic
362C2×C22⋊C8C2311yescharacteristic
363C2×C22⋊C8C2311yescharacteristic
364C2×C22⋊C8C2311yescharacteristic
365C2×C22⋊C8C2311yescharacteristic
366C2×#97C2311yescharacteristic
367C2×C4×C8C2311yescharacteristic
368#399—21no—
369#399—21no—
370#398—21no—
371#397—21no—
372#397—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#392—21no—
385#392—21no—
386#392—21no—
387#392—21no—
388#392—21no—
389#392—21no—
390#392—21no—
391#392—21no—
392#392—21no—
393#392—21no—
394#392—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#391—21no—
405#391—21no—
406#391C2311yescharacteristic
407#391C2311yescharacteristic
408#390—21no—
409#390—21no—
410#390—21no—
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#390D411yescharacteristic
420#390C2311yescharacteristic
421#390C2311yescharacteristic
422#390C2311yescharacteristic
423#390C2311yescharacteristic
424#390C2311yescharacteristic
425#390C2311yescharacteristic
426#390C2311yescharacteristic
427#390C2311yescharacteristic
428#390C2311yescharacteristic
429#389—21no—
430#389D411yescharacteristic
431#389C2311yescharacteristic
432#389C2311yescharacteristic
433#389C2311yescharacteristic
434#389C2311yescharacteristic
435#389C2311yescharacteristic
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#388—21no—
446#388D411yescharacteristic
447#388D411yescharacteristic
448#387—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#386D411yescharacteristic
461#386D411yescharacteristic
462#385—21no—
463#385—21no—
464#384C2311yescharacteristic
465#380D411yescharacteristic
466#380C2311yescharacteristic
467#380C2311yescharacteristic
468#380C2311yescharacteristic
469#379—21no—
470C4×C4⋊C4—21no—
471C4×C4⋊C4C2311yescharacteristic
472C4×C4⋊C4C2311yescharacteristic
473C4×C4⋊C4C2311yescharacteristic
474C4×C4⋊C4C2311yescharacteristic
475C4×C22⋊C4—21no—
476C4×C22⋊C4—21no—
477C4×C22⋊C4—21no—
478C4×C22⋊C4—21no—
479C4×C22⋊C4—21no—
480C4×C22⋊C4C2311yescharacteristic
481C4×C22⋊C4C2311yescharacteristic
482#340C2311yescharacteristic
483#340C2311yescharacteristic
484#340C2311yescharacteristic
485#340C2311yescharacteristic
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—22no—
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—
521C2×#41—44no—
522C2×#41—82no—
523C2×#41—82no—
524C22×Q8—21no—
525C22×Q8C2411yescharacteristic
526C22×D4—21no—
527C22×D4—22no—
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—21no—
541C22×D4—21no—
542C22×D4—21no—
543C22×D4—21no—
544C22×D4—21no—
545C22×D4—21no—
546C22×D4—21no—
547C22×D4—21no—
548C22×D4—21no—
549C22×D4—21no—
550C22×D4—21no—
551C22×D4—21no—
552C22×D4—21no—
553C22×D4—21no—
554C22×D4—41no—
555C22×D4—41no—
556C22×D4—41no—
557C22×D4—41no—
558C22×D4—41no—
559C22×D4C2×D411yescharacteristic
560C22×D4C2×D411yescharacteristic
561C22×D4C2×D411yescharacteristic
562C22×D4C2411yescharacteristic
563C22×D4C2411yescharacteristic
564C22×D4C2411yescharacteristic
565C22×D4C2411yescharacteristic
566C22×D4C2411yescharacteristic
567C22×D4C2411yescharacteristic
568C23×C4—21no—
569C23×C4—21no—
570C23×C4—21no—
571C23×C4—21no—
572C23×C4—21no—
573C23×C4—21no—
574C23×C4C2×D411yescharacteristic
575C23×C4C2×D411yescharacteristic
576C23×C4C2411yescharacteristic
577C23×C4C2411yescharacteristic
578C23×C4C2411yescharacteristic
579C2×SD16—22no—
580C2×SD16—22no—
581C2×SD16—22no—
582C2×SD16—41no—
583C2×SD16—41no—
584C2×SD16—41no—
585C2×SD16—41no—
586C2×SD16—41no—
587C2×SD16—41no—
588C2×D8—22no—
589C2×D8—22no—
590C2×D8—22no—
591C2×D8—41no—
592C2×D8—41no—
593C2×D8—41no—
594C2×D8—41no—
595C2×D8—41no—
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×D8—41no—
610C2×D8—41no—
611C2×D8—41no—
612C2×D8—41no—
613C2×D8—41no—
614C2×D8—41no—
615C2×M16—41no—
616C2×M16—41no—
617C2×M16—41no—
618C22×C8—41no—
619C22×C8—41no—
620C22×C8—41no—
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C22×C8C2411yescharacteristic
629C4⋊Q8—22no—
630C4⋊Q8—22no—
631#127—22no—
632#127—41no—
633#127—41no—
634#127—41no—
635#127—41no—
636#127—41no—
637#127—41no—
638#127—41no—
639#127—41no—
640#127—41no—
641#127—44no—
642#127—82no—
643#127—82no—
644#127—82no—
645#124—22no—
646#124—41no—
647#124—44no—
648#124—44no—
649#124—44no—
650#123—44no—
651#123—82no—
652#123—82no—
653C22⋊Q8—22no—
654C22⋊Q8—41no—
655#121—22no—
656#121—22no—
657#121—22no—
658#121—22no—
659#121—22no—
660#121—22no—
661#121—22no—
662#121—22no—
663#121—42no—
664#121—41no—
665#121—41no—
666#121—41no—
667#121—41no—
668#121—41no—
669#121—41no—
670#121—41no—
671#121—41no—
672#121—41no—
673#121—41no—
674#121—41no—
675#121—41no—
676#121—44no—
677#121—44no—
678#121—44no—
679#121—44no—
680#121—44no—
681#121—44no—
682#121—41no—
683#121—41no—
684#121—41no—
685#121—41no—
686#121—41no—
687#121—41no—
688#121—41no—
689#121—41no—
690#121—82no—
691#121—82no—
692#121—82no—
693#121—82no—
694#121—82no—
695#120—44no—
696#120—44no—
697#120—82no—
698#120—82no—
699C4×Q8—22no—
700C4×Q8—41no—
701C4×D4—22no—
702C4×D4—22no—
703C4×D4—22no—
704C4×D4—41no—
705C4×D4—41no—
706C4×D4—41no—
707C4×D4—41no—
708C4×D4—41no—
709C4×D4—41no—
710C4×D4—41no—
711C4×D4—41no—
712C4×D4—41no—
713C4×D4—41no—
714C4×D4—41no—
715C4×D4—44no—
716C4×D4—44no—
717C4×D4—82no—
718#117—22no—
719#117—22no—
720#117—41no—
721#117—41no—
722#117—44no—
723#117—41no—
724#117—41no—
725C2×C4⋊C4—21no—
726C2×C4⋊C4—21no—
727C2×C4⋊C4—21no—
728C2×C4⋊C4—21no—
729C2×C4⋊C4—21no—
730C2×C4⋊C4—21no—
731C2×C4⋊C4—21no—
732C2×C4⋊C4—21no—
733C2×C4⋊C4—21no—
734C2×C4⋊C4—21no—
735C2×C4⋊C4C2×D411yescharacteristic
736C2×C4⋊C4C2×D411yescharacteristic
737C2×C4⋊C4C2×D411yescharacteristic
738C2×C4⋊C4C2×D411yescharacteristic
739C2×C4⋊C4C2×D411yescharacteristic
740C2×C4⋊C4C2411yescharacteristic
741C2×C4⋊C4C2411yescharacteristic
742C2×C4⋊C4C2411yescharacteristic
743C2×C4⋊C4C2411yescharacteristic
744C2×C4⋊C4C2411yescharacteristic
745C2×C4⋊C4C2411yescharacteristic
746C2×C4⋊C4C2411yescharacteristic
747C2×C4⋊C4C2411yescharacteristic
748C2×C4⋊C4C2411yescharacteristic
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—21no—
756C2×C22⋊C4—21no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—21no—
764C2×C22⋊C4—21no—
765C2×C22⋊C4—21no—
766C2×C22⋊C4—21no—
767C2×C22⋊C4—21no—
768C2×C22⋊C4—21no—
769C2×C22⋊C4—21no—
770C2×C22⋊C4—21no—
771C2×C22⋊C4—21no—
772C2×C22⋊C4—21no—
773C2×C22⋊C4—21no—
774C2×C22⋊C4—21no—
775C2×C22⋊C4—21no—
776C2×C22⋊C4—21no—
777C2×C22⋊C4—21no—
778C2×C22⋊C4—21no—
779C2×C22⋊C4—21no—
780C2×C22⋊C4—21no—
781C2×C22⋊C4—21no—
782C2×C22⋊C4—21no—
783C2×C22⋊C4—21no—
784C2×C22⋊C4—21no—
785C2×C22⋊C4—21no—
786C2×C22⋊C4—21no—
787C2×C22⋊C4—21no—
788C2×C22⋊C4—21no—
789C2×C22⋊C4—21no—
790C2×C22⋊C4—21no—
791C2×C22⋊C4—21no—
792C2×C22⋊C4—21no—
793C2×C22⋊C4—21no—
794C2×C22⋊C4—44no—
795C2×C22⋊C4C2×D411yescharacteristic
796C2×C22⋊C4C2×D411yescharacteristic
797C2×C22⋊C4C2×D411yescharacteristic
798C2×C22⋊C4C2×D411yescharacteristic
799C2×C22⋊C4C2×D411yescharacteristic
800C2×C22⋊C4C2×D411yescharacteristic
801C2×C22⋊C4C2×D411yescharacteristic
802C2×C22⋊C4C2×D411yescharacteristic
803C2×C22⋊C4C2×D411yescharacteristic
804C2×C22⋊C4C2×D411yescharacteristic
805C2×C42—21no—
806C2×C42—21no—
807C2×C42—21no—
808C2×C42—21no—
809C2×C42—21no—
810C2×C42—21no—
811C2×C42—21no—
812C2×C42—41no—
813C2×C42—41no—
814C2×C42C2×D411yescharacteristic
815C2×C42C2×D411yescharacteristic
816C2×C42C2411yescharacteristic
817C2×C42C2411yescharacteristic
818C2×C42C2411yescharacteristic
819C2×C42C2411yescharacteristic
820#107—22no—
821#107—41no—
822#107—41no—
823#106—22no—
824C4⋊C8—41no—
825C4⋊C8—41no—
826C4⋊C8—41no—
827C4⋊C8—41no—
828#103—22no—
829#103—22no—
830#103—22no—
831#103—22no—
832#103—41no—
833#102—22no—
834#102—22no—
835#102—22no—
836#102—22no—
837#102—22no—
838#102—22no—
839#102—22no—
840#102—22no—
841#102—22no—
842#102—22no—
843#102—41no—
844#102—41no—
845#102—41no—
846#102—41no—
847#102—41no—
848#102—41no—
849#102—41no—
850#102—41no—
851#102—41no—
852#102—41no—
853#102—41no—
854#102—41no—
855#102—41no—
856#102—41no—
857#102—41no—
858#102—41no—
859#102—41no—
860C22⋊C8—41no—
861C22⋊C8—41no—
862C22⋊C8—41no—
863C22⋊C8—41no—
864C22⋊C8—41no—
865C22⋊C8—41no—
866C22⋊C8—41no—
867C22⋊C8—41no—
868C22⋊C8—41no—
869C22⋊C8—41no—
870#97—41no—
871C4×C8—41no—
872#95—21no—
873#95—21no—
874#95—21no—
875#95—21no—
876#95—21no—
877#95—21no—
878#95—21no—
879#95—21no—
880#95—21no—
881#95—21no—
882#95—21no—
883#95—21no—
884#95—21no—
885#95—21no—
886#95—21no—
887#95C2×D411yescharacteristic
888#95C2×D411yescharacteristic
889#95C2×D411yescharacteristic
890#95C2×D411yescharacteristic
891#95C2×D411yescharacteristic
892#95C2×D411yescharacteristic
893C24—21no—
894C24—21no—
895C24—21no—
896C24—21no—
897C24—21no—
898C24—21no—
899C24—42no—
900C24—42no—
901C24—81no—
902C24—81no—
903C24—81no—
904C24—81no—
905C24—81no—
906C24C22×D411yescharacteristic
907C24C22×D411yescharacteristic
908C24C22×D411yescharacteristic
909#41—44no—
910#41—82no—
911#41—82no—
912#41—82no—
913#41—82no—
914#41—82no—
915#41—82no—
916#41—82no—
917#41—816no—
918C2×Q8—24no—
919C2×Q8—21no—
920C2×Q8—21no—
921C2×Q8—21no—
922C2×Q8—21no—
923C2×Q8—21no—
924C2×Q8—81no—
925C2×Q8—81no—
926C2×Q8H(5,𝔽2)12yes—
927C2×D4—24no—
928C2×D4—22no—
929C2×D4—22no—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—21no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—21no—
939C2×D4—21no—
940C2×D4—21no—
941C2×D4—21no—
942C2×D4—21no—
943C2×D4—21no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—21no—
947C2×D4—21no—
948C2×D4—21no—
949C2×D4—21no—
950C2×D4—21no—
951C2×D4—21no—
952C2×D4—21no—
953C2×D4—21no—
954C2×D4—21no—
955C2×D4—21no—
956C2×D4—21no—
957C2×D4—21no—
958C2×D4—21no—
959C2×D4—21no—
960C2×D4—21no—
961C2×D4—21no—
962C2×D4—21no—
963C2×D4—21no—
964C2×D4—21no—
965C2×D4—41no—
966C2×D4—41no—
967C2×D4—41no—
968C2×D4—41no—
969C2×D4—41no—
970C2×D4—41no—
971C2×D4—41no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—42no—
975C2×D4—42no—
976C2×D4—42no—
977C2×D4—42no—
978C2×D4—42no—
979C2×D4—42no—
980C2×D4—42no—
981C2×D4—42no—
982C2×D4—42no—
983C2×D4—42no—
984C2×D4—42no—
985C2×D4—42no—
986C2×D4—42no—
987C2×D4—42no—
988C2×D4—44no—
989C2×D4—42no—
990C2×D4—42no—
991C2×D4—42no—
992C2×D4—42no—
993C2×D4—42no—
994C2×D4—42no—
995C2×D4—42no—
996C2×D4—42no—
997C2×D4—42no—
998C2×D4—42no—
999C2×D4—42no—
1000C2×D4—81no—
1001C2×D4—81no—
1002C2×D4—81no—
1003C2×D4—81no—
1004C2×D4—81no—
1005C2×D4—81no—
1006C2×D4—81no—
1007C2×D4—81no—
1008C2×D4—81no—
1009C2×D4—81no—
1010C2×D4—81no—
1011C2×D4—81no—
1012C2×D4—81no—
1013C2×D4—81no—
1014C2×D4—81no—
1015C2×D4—81no—
1016C2×D4—81no—
1017C2×D4—81no—
1018C2×D4—81no—
1019C2×D4—81no—
1020C2×D4—81no—
1021C2×D4—82no—
1022C2×D4—82no—
1023C2×D4—82no—
1024C2×D4—81no—
1025C2×D4—81no—
1026C2×D4—81no—
1027C2×D4—81no—
1028C2×D4—81no—
1029C2×D4—81no—
1030C2×D4—81no—
1031C2×D4—81no—
1032C2×D4—81no—
1033C2×D4—81no—
1034C2×D4—81no—
1035C2×D4—81no—
1036C2×D4—81no—
1037C2×D4—81no—
1038C2×D4—81no—
1039C2×D4—81no—
1040C2×D4—81no—
1041C2×D4—81no—
1042C2×D4—81no—
1043C2×D4—81no—
1044C2×D4—81no—
1045C2×D4—81no—
1046C2×D4—81no—
1047C2×D4—81no—
1048C2×D4—81no—
1049C2×D4—81no—
1050C2×D4—81no—
1051C2×D4—81no—
1052C2×D4—81no—
1053C2×D4—81no—
1054C2×D4—81no—
1055C2×D4—81no—
1056C2×D4H(5,𝔽2)12yes—
1057C22×C4—21no—
1058C22×C4—21no—
1059C22×C4—21no—
1060C22×C4—21no—
1061C22×C4—24no—
1062C22×C4—22no—
1063C22×C4—21no—
1064C22×C4—21no—
1065C22×C4—21no—
1066C22×C4—21no—
1067C22×C4—21no—
1068C22×C4—21no—
1069C22×C4—21no—
1070C22×C4—21no—
1071C22×C4—21no—
1072C22×C4—21no—
1073C22×C4—21no—
1074C22×C4—21no—
1075C22×C4—21no—
1076C22×C4—21no—
1077C22×C4—21no—
1078C22×C4—21no—
1079C22×C4—21no—
1080C22×C4—21no—
1081C22×C4—22no—
1082C22×C4—21no—
1083C22×C4—21no—
1084C22×C4—21no—
1085C22×C4—21no—
1086C22×C4—21no—
1087C22×C4—21no—
1088C22×C4—41no—
1089C22×C4—41no—
1090C22×C4—41no—
1091C22×C4—41no—
1092C22×C4—42no—
1093C22×C4—42no—
1094C22×C4—42no—
1095C22×C4—42no—
1096C22×C4—42no—
1097C22×C4—42no—
1098C22×C4—42no—
1099C22×C4—42no—
1100C22×C4—42no—
1101C22×C4—81no—
1102C22×C4—81no—
1103C22×C4—81no—
1104C22×C4—81no—
1105C22×C4—81no—
1106C22×C4—81no—
1107C22×C4—81no—
1108C22×C4—81no—
1109C22×C4C22×D411yescharacteristic
1110C22×C4C22×D411yescharacteristic
1111C22×C4C22×D411yescharacteristic
1112C22×C4C22×D411yescharacteristic
1113C22×C4C22×D411yescharacteristic
1114C22×C4C22×D411yescharacteristic
1115C22×C4C22×D411yescharacteristic
1116C22×C4C22×D411yescharacteristic
1117C22×C4C22×D411yescharacteristic
1118C22×C4C22×D411yescharacteristic
1119C22×C4C22×D411yescharacteristic
1120C22×C4C2511yescharacteristic
1121SD16—82no—
1122SD16—82no—
1123SD16—82no—
1124D8—82no—
1125D8—82no—
1126D8—82no—
1127D8—82no—
1128D8—82no—
1129D8—82no—
1130D8—82no—
1131D8—82no—
1132D8—82no—
1133M16—82no—
1134C2×C8—21no—
1135C2×C8—21no—
1136C2×C8—21no—
1137C2×C8—21no—
1138C2×C8—21no—
1139C2×C8—21no—
1140C2×C8—21no—
1141C2×C8—21no—
1142C2×C8—21no—
1143C2×C8—21no—
1144C2×C8—21no—
1145C2×C8—21no—
1146C2×C8—21no—
1147C2×C8—21no—
1148C2×C8—21no—
1149C2×C8—21no—
1150C2×C8—21no—
1151C2×C8—21no—
1152C2×C8—21no—
1153C2×C8—21no—
1154C2×C8—21no—
1155C2×C8—21no—
1156C2×C8—21no—
1157C2×C8—21no—
1158C2×C8—82no—
1159C4⋊C4—24no—
1160C4⋊C4—22no—
1161C4⋊C4—22no—
1162C4⋊C4—21no—
1163C4⋊C4—21no—
1164C4⋊C4—21no—
1165C4⋊C4—21no—
1166C4⋊C4—21no—
1167C4⋊C4—21no—
1168C4⋊C4—21no—
1169C4⋊C4—21no—
1170C4⋊C4—21no—
1171C4⋊C4—21no—
1172C4⋊C4—21no—
1173C4⋊C4—21no—
1174C4⋊C4—21no—
1175C4⋊C4—21no—
1176C4⋊C4—21no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—42no—
1181C4⋊C4—42no—
1182C4⋊C4—42no—
1183C4⋊C4—81no—
1184C4⋊C4—81no—
1185C4⋊C4—81no—
1186C4⋊C4—81no—
1187C4⋊C4—81no—
1188C4⋊C4—81no—
1189C4⋊C4H(5,𝔽2)12yes—
1190C4⋊C4H(5,𝔽2)12yes—
1191C4⋊C4H(5,𝔽2)12yes—
1192C22⋊C4—22no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—42no—
1203C22⋊C4—42no—
1204C22⋊C4—42no—
1205C22⋊C4—42no—
1206C22⋊C4—42no—
1207C22⋊C4—42no—
1208C22⋊C4—42no—
1209C22⋊C4—42no—
1210C22⋊C4—42no—
1211C22⋊C4—42no—
1212C22⋊C4—42no—
1213C22⋊C4—42no—
1214C22⋊C4—42no—
1215C22⋊C4—42no—
1216C22⋊C4—42no—
1217C22⋊C4—42no—
1218C22⋊C4—42no—
1219C22⋊C4—42no—
1220C22⋊C4—42no—
1221C22⋊C4—42no—
1222C22⋊C4—42no—
1223C22⋊C4—42no—
1224C22⋊C4—42no—
1225C22⋊C4—42no—
1226C22⋊C4—42no—
1227C22⋊C4—42no—
1228C22⋊C4—42no—
1229C22⋊C4—42no—
1230C22⋊C4—81no—
1231C22⋊C4—81no—
1232C22⋊C4—81no—
1233C22⋊C4—81no—
1234C22⋊C4—81no—
1235C22⋊C4—81no—
1236C22⋊C4—81no—
1237C22⋊C4—81no—
1238C22⋊C4—81no—
1239C22⋊C4—81no—
1240C22⋊C4—81no—
1241C22⋊C4—81no—
1242C22⋊C4—81no—
1243C22⋊C4—81no—
1244C22⋊C4—81no—
1245C22⋊C4—81no—
1246C22⋊C4—81no—
1247C42—21no—
1248C42—21no—
1249C42—21no—
1250C42—21no—
1251C42—21no—
1252C42—21no—
1253C42—21no—
1254C42—21no—
1255C42—41no—
1256C42—41no—
1257C42—42no—
1258C42—42no—
1259C42—42no—
1260C42—42no—
1261C42—81no—
1262C42—81no—
1263C42—81no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—22no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—21no—
1278C23—21no—
1279C23—21no—
1280C23—21no—
1281C23—21no—
1282C23—21no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—41no—
1287C23—41no—
1288C23—41no—
1289C23—41no—
1290C23—41no—
1291C23—41no—
1292C23—41no—
1293C23—41no—
1294C23—41no—
1295C23—41no—
1296C23—41no—
1297C23—41no—
1298C23—41no—
1299C23—41no—
1300C23—41no—
1301C23—41no—
1302C23—41no—
1303C23—41no—
1304C23—41no—
1305C23—41no—
1306C23—41no—
1307C23—41no—
1308C23—41no—
1309C23—41no—
1310C23—41no—
1311C23—41no—
1312C23—41no—
1313C23—41no—
1314C23—41no—
1315C23—41no—
1316C23—41no—
1317C23—41no—
1318C23—41no—
1319C23—41no—
1320C23—41no—
1321C23—41no—
1322C23—41no—
1323C23—41no—
1324C23—41no—
1325C23—41no—
1326C23—41no—
1327C23—84no—
1328C23—84no—
1329C23—162no—
1330C23—162no—
1331C23—162no—
1332C23—162no—
1333C23—162no—
1334C23C23×D411yescharacteristic
1335Q8—22no—
1336Q8—22no—
1337Q8—41no—
1338Q8—41no—
1339Q8—84no—
1340D4—22no—
1341D4—22no—
1342D4—41no—
1343D4—41no—
1344D4—41no—
1345D4—41no—
1346D4—41no—
1347D4—41no—
1348D4—41no—
1349D4—41no—
1350D4—41no—
1351D4—41no—
1352D4—41no—
1353D4—41no—
1354D4—41no—
1355D4—41no—
1356D4—41no—
1357D4—41no—
1358D4—41no—
1359D4—41no—
1360D4—41no—
1361D4—41no—
1362D4—41no—
1363D4—41no—
1364D4—82no—
1365D4—82no—
1366D4—84no—
1367D4—84no—
1368D4—84no—
1369D4—82no—
1370D4—84no—
1371D4—84no—
1372D4—84no—
1373D4—84no—
1374D4—84no—
1375D4—84no—
1376D4—162no—
1377D4—162no—
1378D4—162no—
1379D4—162no—
1380D4—162no—
1381D4—162no—
1382D4—162no—
1383D4—162no—
1384D4—162no—
1385D4—162no—
1386D4—162no—
1387D4—162no—
1388D4—162no—
1389D4—162no—
1390D4—162no—
1391D4—162no—
1392D4—162no—
1393D4—162no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—22no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—44no—
1429C2×C4—41no—
1430C2×C4—41no—
1431C2×C4—41no—
1432C2×C4—41no—
1433C2×C4—41no—
1434C2×C4—41no—
1435C2×C4—41no—
1436C2×C4—41no—
1437C2×C4—41no—
1438C2×C4—41no—
1439C2×C4—41no—
1440C2×C4—41no—
1441C2×C4—41no—
1442C2×C4—41no—
1443C2×C4—41no—
1444C2×C4—41no—
1445C2×C4—41no—
1446C2×C4—41no—
1447C2×C4—41no—
1448C2×C4—41no—
1449C2×C4—41no—
1450C2×C4—41no—
1451C2×C4—41no—
1452C2×C4—41no—
1453C2×C4—41no—
1454C2×C4—41no—
1455C2×C4—41no—
1456C2×C4—41no—
1457C2×C4—41no—
1458C2×C4—41no—
1459C2×C4—41no—
1460C2×C4—41no—
1461C2×C4—41no—
1462C2×C4—41no—
1463C2×C4—41no—
1464C2×C4—41no—
1465C2×C4—41no—
1466C2×C4—41no—
1467C2×C4—82no—
1468C2×C4—84no—
1469C2×C4—84no—
1470C2×C4—84no—
1471C2×C4—84no—
1472C2×C4—84no—
1473C2×C4—162no—
1474C2×C4#57512yes—
1475C2×C4#57612yes—
1476C2×C4#57612yes—
1477C2×C4C2×H(5,𝔽2)11yescharacteristic
1478C2×C4C2×H(5,𝔽2)11yescharacteristic
1479C2×C4C2×H(5,𝔽2)11yescharacteristic
1480C2×C4C2×H(5,𝔽2)11yescharacteristic
1481C2×C4C2×H(5,𝔽2)11yescharacteristic
1482C2×C4#58511yescharacteristic
1483C8—41no—
1484C8—41no—
1485C8—41no—
1486C8—41no—
1487C8—41no—
1488C8—41no—
1489C8—41no—
1490C8—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22—41no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—42no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—42no—
1511C22—42no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—81no—
1516C22—81no—
1517C22—81no—
1518C22—81no—
1519C22—81no—
1520C22—81no—
1521C22—81no—
1522C22—81no—
1523C22—81no—
1524C22—81no—
1525C22—81no—
1526C22—81no—
1527C22—81no—
1528C22—81no—
1529C22—81no—
1530C22—81no—
1531C22—81no—
1532C22—81no—
1533C22—81no—
1534C22—81no—
1535C22—81no—
1536C22—81no—
1537C22—81no—
1538C22—81no—
1539C22—81no—
1540C22—81no—
1541C22—81no—
1542C22—81no—
1543C22—81no—
1544C22—81no—
1545C22—81no—
1546C22—81no—
1547C22—81no—
1548C22—81no—
1549C22—81no—
1550C22—81no—
1551C22—81no—
1552C22—81no—
1553C22—81no—
1554C22—168no—
1555C22#348411yescharacteristic
1556C22#348411yescharacteristic
1557C22#348811yescharacteristic
1558C22C2×#57511yescharacteristic
1559C22C2×#57611yescharacteristic
1560C22C2×#57611yescharacteristic
1561C22#358511yescharacteristic
1562C4—22no—
1563C4—22no—
1564C4—22no—
1565C4—42no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—42no—
1570C4—42no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—42no—
1575C4—41no—
1576C4—41no—
1577C4—81no—
1578C4—81no—
1579C4—81no—
1580C4—81no—
1581C4—81no—
1582C4—81no—
1583C4#354211yescharacteristic
1584C4#354211yescharacteristic
1585C4#354311yescharacteristic
1586C4#354311yescharacteristic
1587C2—81no—
1588C2—81no—
1589C2—81no—
1590C2—82no—
1591C2—161no—
1592C2—161no—
1593C2—161no—
1594C2—161no—
1595C2—161no—
1596C2#4783111yescharacteristic
1597C2#6157911yescharacteristic
1598C2#6160511yescharacteristic
1599C2#6160911yescharacteristic
1600C2#6166111yescharacteristic
1601C2#6198811yescharacteristic
1602C2#6204011yescharacteristic
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. #59056C2semidirect
2. #39957C2semidirect
3. #31737C2semidirect
4. #31719C2semidirect
5. #30752C2semidirect
6. #30733C2semidirect
7. #30732C2semidirect
8. #30714C2semidirect
9. #30612C2semidirect
10. #30589C2semidirect
11. #30515C2semidirect
12. #30499C2semidirect
13. #30462C2semidirect
14. #30444C2semidirect
15. #30105C2semidirect
16. #29660C2semidirect
17. #28116C2semidirect
18. #26709C2semidirect
19. #26695C2semidirect
20. #26684C2semidirect
21. #26671C2semidirect
22. #25770C2semidirect
23. #25759C2semidirect
24. #25097C2semidirect
25. #25081C2semidirect
26. #24450C2semidirect
27. #24435C2semidirect
28. #23976C2semidirect
29. #23965C2semidirect
30. #23932C2semidirect
31. #23331C2semidirect
35. C2×#532C22semidirect
38. C2×#482C22semidirect
43. C2×#460C22semidirect
50. C2×#449C22semidirect
51. C2×#449C22semidirect
52. C2×#449C22semidirect
57. C2×#416C22semidirect
70. #2541C22semidirect
71. #2541C22semidirect
81. #2428C22semidirect
88. #2414C22semidirect
91. #2369C22semidirect
94. #2363C22semidirect
97. C4×#121C22semidirect
99. #2099C22semidirect
100. #2093C22semidirect
101. #2087C22semidirect
102. #2086C22semidirect
103. #2068C22semidirect
105. #2055C22semidirect
108. #2054C22semidirect
112. #2041C22semidirect
113. #2041C22semidirect
114. #2034C22semidirect
118. #2033C22semidirect
119. #2033C22semidirect
120. #2024C22semidirect
123. #2023C22semidirect
124. #2014C22semidirect
131. #2011C22semidirect
132. #2011C22semidirect
144. #1999C22semidirect
145. #1999C22semidirect
146. #1999C22semidirect
150. #1954C22semidirect
151. #1936C22semidirect
152. #1936C22semidirect
154. #1934C22semidirect
155. #1927C22semidirect
159. #1925C22semidirect
160. #1925C22semidirect
161. #1924C22semidirect
163. #1921C22semidirect
164. #1920C22semidirect
165. #1917C22semidirect
166. #1916C22semidirect
168. #1893C22semidirect
169. #1880C22semidirect
175. #1879C22semidirect
176. #1877C22semidirect
177. #1877C22semidirect
178. #1877C22semidirect
182. #1875C22semidirect
183. #1875C22semidirect
188. #1869C22semidirect
189. #1863C22semidirect
192. #1850C22semidirect
194. #1825C22semidirect
195. #1825C22semidirect
196. #1817C22semidirect
197. #1802C22semidirect
198. #1802C22semidirect
199. #1797C22semidirect
202. C4×#103C22semidirect

Maximal subgroups

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

subgroupindex
#590562
#399572
#317372
#317192
#307522
#307332
#307322
#307142
#306122
#305892
#305152
#304992
#304622
#304442
#301052
#296602
#281162
#267092
#266952
#266842
#266712
#257702
#257592
#250972
#250812
#244502
#244352
#239762
#239652
#239322
#233312