Finite Group Databasebeta

← #6994901

Subgroups — #6994901

Order 512.

1864 conjugacy classes of subgroups.

The subgroup lattice has 1466 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59018C211yesmaximal, characteristic, complemented
2#39860C211yesmaximal, characteristic, complemented
3#31952C211yesmaximal, characteristic, complemented
4#31859C211yesmaximal, characteristic, complemented
5#31559C211yesmaximal, characteristic, complemented
6#31401C211yesmaximal, characteristic, complemented
7#31393C211yesmaximal, characteristic, complemented
8#31039C211yesmaximal, characteristic, complemented
9#30910C211yesmaximal, characteristic, complemented
10#30403C211yesmaximal, characteristic, complemented
11#28986C211yesmaximal, characteristic, complemented
12#28152C211yesmaximal, characteristic, complemented
13#28106C211yesmaximal, characteristic, complemented
14#27714C211yesmaximal, characteristic, complemented
15#26976C211yesmaximal, characteristic, complemented
16#26686C211yesmaximal, characteristic, complemented
17#26635C211yesmaximal, characteristic, complemented
18#25954C211yesmaximal, characteristic, complemented
19#25118C211yesmaximal, characteristic, complemented
20#24946C211yesmaximal, characteristic, complemented
21#24554C211yesmaximal, characteristic, complemented
22#24536C211yesmaximal, characteristic, complemented
23#24383C211yesmaximal, characteristic, complemented
24#24129C211yesmaximal, characteristic, complemented
25#23977C211yesmaximal, characteristic, complemented
26#23854C211yesmaximal, characteristic, complemented
27#23386C211yesmaximal, characteristic, complemented
28#22844C211yesmaximal, characteristic, complemented
29#22438C211yesmaximal, characteristic, complemented
30#22426C211yesmaximal, characteristic, complemented
31#21760C211yesmaximal, characteristic, complemented
32C22×#135C2211yescharacteristic
33C2×#555C2211yescharacteristic
34C2×#548C2211yescharacteristic
35C2×#525C2211yescharacteristic
36C2×#525C2211yescharacteristic
37C2×#485C2211yescharacteristic
38C2×#474C2211yescharacteristic, complemented
39C2×#467C2211yescharacteristic
40C2×#465C2211yescharacteristic
41C2×#452C2211yescharacteristic
42C2×#451C2211yescharacteristic, complemented
43C2×#448C2211yescharacteristic, complemented
44C2×#442C2211yescharacteristic, complemented
45C2×#442C2211yescharacteristic, complemented
46C2×#435C2211yescharacteristic
47C2×#435C2211yescharacteristic
48C2×#419C2211yescharacteristic, complemented
49C2×#416C2211yescharacteristic
50C2×#416C2211yescharacteristic
51C22×C22⋊C8C2211yescharacteristic
52C22×C22⋊C8C2211yescharacteristic
53#2848C2211yescharacteristic
54#2717—21no—
55#2708—21no—
56#2684—21no—
57#2684—21no—
58#2678—21no—
59#2668—21no—
60#2638—21no—
61#2600—21no—
62#2564—21no—
63#2557—21no—
64#2537C2211yescharacteristic
65#2535C2211yescharacteristic
66#2535C2211yescharacteristic
67#2499C2211yescharacteristic
68#2499C2211yescharacteristic
69#2492C2211yescharacteristic
70#2485C2211yescharacteristic
71#2470—21no—
72#2459—21no—
73#2447—21no—
74#2444—21no—
75#2439C2211yescharacteristic
76#2427C2211yescharacteristic
77#2427C2211yescharacteristic
78#2423C2211yescharacteristic
79#2422C2211yescharacteristic
80#2421C2211yescharacteristic
81#2415C2211yescharacteristic
82#2415C2211yescharacteristic
83#2409C2211yescharacteristic
84#2409C2211yescharacteristic
85#2407C2211yescharacteristic
86#2363C2211yescharacteristic
87#2359—21no—
88#2354C2211yescharacteristic
89#2339C2211yescharacteristic
90#2339C2211yescharacteristic
91#2325—21no—
92C4×#120C2211yescharacteristic
93#2280C2211yescharacteristic
94#2101C2211yescharacteristic, complemented
95#2100C2211yescharacteristic, complemented
96#2100C2211yescharacteristic, complemented
97#2097C2211yescharacteristic, complemented
98#2084C2211yescharacteristic, complemented
99#2077C2211yescharacteristic
100#2077C2211yescharacteristic, complemented
101#2077C2211yescharacteristic, complemented
102#2075C2211yescharacteristic
103#2074C2211yescharacteristic, complemented
104#2074C2211yescharacteristic, complemented
105#2072C2211yescharacteristic, complemented
106#2068C2211yescharacteristic, complemented
107#2068C2211yescharacteristic, complemented
108#2068C2211yescharacteristic, complemented
109#2067C2211yescharacteristic, complemented
110#2056C2211yescharacteristic, complemented
111#2056C2211yescharacteristic, complemented
112#2036C2211yescharacteristic
113#2036C2211yescharacteristic, complemented
114#2035C2211yescharacteristic
115#2035C2211yescharacteristic
116#2033C2211yescharacteristic
117#2033C2211yescharacteristic, complemented
118#2024C2211yescharacteristic, complemented
119#2024C2211yescharacteristic, complemented
120#2015C2211yescharacteristic, complemented
121#2012C2211yescharacteristic, complemented
122#2001C2211yescharacteristic
123#2001C2211yescharacteristic
124#2001C2211yescharacteristic
125#2000C2211yescharacteristic
126#2000C2211yescharacteristic
127#2000C2211yescharacteristic
128#2000C2211yescharacteristic
129#2000C2211yescharacteristic
130#2000C2211yescharacteristic, complemented
131#1999C2211yescharacteristic
132#1999C2211yescharacteristic
133#1999C2211yescharacteristic, complemented
134#1993C2211yescharacteristic, complemented
135#1983C2211yescharacteristic, complemented
136#1971C2211yescharacteristic, complemented
137#1971C2211yescharacteristic, complemented
138#1959C2211yescharacteristic, complemented
139#1955C2211yescharacteristic
140#1936C2211yescharacteristic, complemented
141#1935C2211yescharacteristic, complemented
142#1935C2211yescharacteristic, complemented
143#1935C2211yescharacteristic, complemented
144#1924C2211yescharacteristic
145#1924C2211yescharacteristic
146#1920C2211yescharacteristic, complemented
147#1918C2211yescharacteristic, complemented
148#1895C2211yescharacteristic, complemented
149#1895C2211yescharacteristic, complemented
150#1894C2211yescharacteristic, complemented
151#1893C2211yescharacteristic
152#1893C2211yescharacteristic
153#1893C2211yescharacteristic
154#1892C2211yescharacteristic
155#1892C2211yescharacteristic
156#1892C2211yescharacteristic
157#1892C2211yescharacteristic
158#1892C2211yescharacteristic
159#1880C2211yescharacteristic, complemented
160#1878C2211yescharacteristic, complemented
161#1877C2211yescharacteristic, complemented
162#1877C2211yescharacteristic, complemented
163#1877C2211yescharacteristic, complemented
164#1877C2211yescharacteristic, complemented
165#1877C2211yescharacteristic, complemented
166#1877C2211yescharacteristic, complemented
167#1875C2211yescharacteristic
168#1875C2211yescharacteristic
169#1875C2211yescharacteristic, complemented
170#1873C2211yescharacteristic
171#1873C2211yescharacteristic
172#1873C2211yescharacteristic
173#1873C2211yescharacteristic
174#1870C2211yescharacteristic
175#1869C2211yescharacteristic
176#1869C2211yescharacteristic
177#1864C2211yescharacteristic, complemented
178#1862C2211yescharacteristic, complemented
179#1854C2211yescharacteristic
180#1854C2211yescharacteristic
181#1854C2211yescharacteristic, complemented
182#1850C2211yescharacteristic
183#1850C2211yescharacteristic
184#1836C2211yescharacteristic, complemented
185#1825C2211yescharacteristic
186#1825C2211yescharacteristic
187#1825C2211yescharacteristic
188#1825C2211yescharacteristic, complemented
189#1808C2211yescharacteristic
190#1807C2211yescharacteristic
191#1804C2211yescharacteristic, complemented
192#1804C2211yescharacteristic, complemented
193#1803C2211yescharacteristic, complemented
194#1802C2211yescharacteristic, complemented
195#1788C2211yescharacteristic
196#1788C2211yescharacteristic
197#1788C2211yescharacteristic
198#1787C2211yescharacteristic, complemented
199#1763C2211yescharacteristic, complemented
200#1752C2211yescharacteristic
201#1752C2211yescharacteristic
202#1735C2211yescharacteristic
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C23×Q8C2311yescharacteristic
206C24×C4C2311yescharacteristic
207C2×#135—24no—
208C2×#135—42no—
209C2×#135—42no—
210C22×Q16C2311yescharacteristic
211C22×Q16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×M16C2311yescharacteristic
217C23×C8C2311yescharacteristic
218C23×C8C2311yescharacteristic
219C23×C8C2311yescharacteristic
220C23×C8C2311yescharacteristic
221#555—42no—
222#555—42no—
223#548—24no—
224#548—42no—
225C2×C4⋊Q8C2311yescharacteristic
226C2×#124—21no—
227C2×#124—21no—
228C2×#124—21no—
229C2×#124C2311yescharacteristic
230#525—24no—
231#525—42no—
232#525—42no—
233#525—42no—
234C2×#123—21no—
235C2×#123—21no—
236C2×#123—21no—
237C2×C22⋊Q8—21no—
238C2×C22⋊Q8C2311yescharacteristic
239C2×C22⋊Q8C2311yescharacteristic
240C2×C22⋊Q8C2311yescharacteristic
241C2×C22⋊Q8C2311yescharacteristic
242C2×C22⋊Q8C2311yescharacteristic
243C2×C22⋊Q8C2311yescharacteristic
244C2×C22⋊Q8C2311yescharacteristic
245C2×C22⋊Q8C2311yescharacteristic
246C2×#121—21no—
247C2×#121—21no—
248C2×#121—21no—
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#120—21no—
256C2×#120—21no—
257C2×#120D411yescharacteristic
258C2×C4×Q8C2311yescharacteristic
259C2×C4×D4—21no—
260C2×C4×D4—21no—
261C2×C4×D4—21no—
262C2×C4×D4—21no—
263C2×C4×D4—21no—
264C2×C4×D4C2311yescharacteristic
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×#117—21no—
272C2×#117C2311yescharacteristic
273C2×#117C2311yescharacteristic
274C2×#117C2311yescharacteristic
275C2×#117C2311yescharacteristic
276C2×#117C2311yescharacteristic
277#485—42no—
278#474—42no—
279#467—42no—
280#465—42no—
281#452—42no—
282#451—42no—
283#448—42no—
284#442—42no—
285#442—42no—
286#435—42no—
287#435—42no—
288C2×#107C2311yescharacteristic
289C2×#107C2311yescharacteristic
290C2×#107C2311yescharacteristic
291C2×#106C2311yescharacteristic
292C2×#106C2311yescharacteristic
293C2×#106C2311yescharacteristic
294C2×C4⋊C8C2311yescharacteristic
295C2×C4⋊C8C2311yescharacteristic
296C2×C4⋊C8C2311yescharacteristic
297#419—42no—
298#416—42no—
299#416—42no—
300C2×#103C2311yescharacteristic
301C2×#103C2311yescharacteristic
302C2×#103C2311yescharacteristic
303C2×#103C2311yescharacteristic
304C2×#103C2311yescharacteristic
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×C22⋊C8—42no—
329C2×C22⋊C8—42no—
330C2×C22⋊C8C2311yescharacteristic
331C2×C22⋊C8C2311yescharacteristic
332C2×C22⋊C8C2311yescharacteristic
333C2×C22⋊C8C2311yescharacteristic
334C2×C22⋊C8C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×#97C2311yescharacteristic
342C2×#97C2311yescharacteristic
343C2×#97C2311yescharacteristic
344#400—21no—
345#400—21no—
346#399—21no—
347#398—21no—
348#397—21no—
349#397—21no—
350#397—21no—
351#397—21no—
352#397—21no—
353#397—21no—
354#397—21no—
355#397—21no—
356#397—21no—
357#397—21no—
358#397—21no—
359#397—21no—
360#397—21no—
361#396—21no—
362#395—21no—
363#395—21no—
364#394—21no—
365#394—21no—
366#394—21no—
367#394—21no—
368#394—21no—
369#394—21no—
370#394—21no—
371#394—21no—
372#394—21no—
373#393—21no—
374#393—21no—
375#393—21no—
376#393—21no—
377#392—21no—
378#392—21no—
379#392—21no—
380#391—21no—
381#391—21no—
382#391C2311yescharacteristic
383#391C2311yescharacteristic
384#391C2311yescharacteristic
385#391C2311yescharacteristic
386#391C2311yescharacteristic
387#391C2311yescharacteristic
388#391C2311yescharacteristic
389#390—21no—
390#390—21no—
391#390C2311yescharacteristic
392#389—21no—
393#389—21no—
394#389C2311yescharacteristic
395#389C2311yescharacteristic
396#389C2311yescharacteristic
397#389C2311yescharacteristic
398#388—21no—
399#388—21no—
400#388—21no—
401#388—21no—
402#388—21no—
403#388—21no—
404#388—21no—
405#388—21no—
406#388—21no—
407#387—21no—
408#387—21no—
409#387—21no—
410#387—21no—
411#387—21no—
412#387—21no—
413#387—21no—
414#387—21no—
415#386—21no—
416#386—21no—
417#386—21no—
418#386—21no—
419#386—21no—
420#386—21no—
421#386—21no—
422#386—21no—
423#386—21no—
424#386—21no—
425#386—21no—
426#386—21no—
427#386—21no—
428#386—21no—
429#386D411yescharacteristic
430#386D411yescharacteristic
431#386D411yescharacteristic
432#385—21no—
433#385—21no—
434#385—21no—
435#385—21no—
436#385—21no—
437#385—21no—
438#385—21no—
439#385D411yescharacteristic
440#385D411yescharacteristic
441#385D411yescharacteristic
442#384C2311yescharacteristic
443#384C2311yescharacteristic
444#382C2311yescharacteristic
445#382C2311yescharacteristic
446#381—21no—
447#381—21no—
448#381—21no—
449#380—21no—
450#380—21no—
451#380—21no—
452#380C2311yescharacteristic
453#380C2311yescharacteristic
454#380C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#379—21no—
463#379—21no—
464#379D411yescharacteristic
465C4×C4⋊C4—21no—
466C4×C4⋊C4C2311yescharacteristic
467C4×C22⋊C4—21no—
468C4×C22⋊C4—21no—
469C4×C22⋊C4—21no—
470C4×C22⋊C4C2311yescharacteristic
471C4×C22⋊C4C2311yescharacteristic
472C4×C22⋊C4C2311yescharacteristic
473C2×#95—21no—
474C2×#95—21no—
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#340C2311yescharacteristic
494#340C2311yescharacteristic
495#340C2311yescharacteristic
496#340C2311yescharacteristic
497#340C2311yescharacteristic
498#340C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505C25C2×D411yescharacteristic
506C2×#41—22no—
507C2×#41—22no—
508C2×#41—22no—
509C2×#41—22no—
510C2×#41—41no—
511C2×#41—41no—
512C2×#41—41no—
513C2×#41—41no—
514C2×#41—41no—
515C2×#41—41no—
516C2×#41—41no—
517C2×#41#4114yes—
518C22×Q8—21no—
519C22×Q8—21no—
520C22×Q8—22no—
521C22×Q8—41no—
522C22×Q8—41no—
523C22×Q8—41no—
524C22×Q8—41no—
525C22×Q8—41no—
526C22×Q8C2411yescharacteristic
527C22×Q8C2411yescharacteristic
528C22×Q8C2411yescharacteristic
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×D4C2×D411yescharacteristic
538C22×D4C2×D411yescharacteristic
539C22×D4C2×D411yescharacteristic
540C22×D4C2411yescharacteristic
541C22×D4C2411yescharacteristic
542C23×C4—21no—
543C23×C4—22no—
544C23×C4—22no—
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—21no—
550C23×C4—21no—
551C23×C4—41no—
552C23×C4—41no—
553C23×C4—41no—
554C23×C4—41no—
555C23×C4C2×D411yescharacteristic
556C23×C4C2×D411yescharacteristic
557C23×C4C2×D411yescharacteristic
558C23×C4C2411yescharacteristic
559C23×C4C2411yescharacteristic
560C23×C4C2411yescharacteristic
561C23×C4C2411yescharacteristic
562#135—416no—
563C2×Q16—22no—
564C2×Q16—22no—
565C2×Q16—41no—
566C2×Q16—41no—
567C2×Q16—41no—
568C2×Q16—41no—
569C2×SD16—22no—
570C2×SD16—22no—
571C2×SD16—22no—
572C2×SD16—22no—
573C2×SD16—41no—
574C2×SD16—41no—
575C2×SD16—41no—
576C2×SD16—41no—
577C2×SD16—41no—
578C2×D8—22no—
579C2×D8—22no—
580C2×D8—22no—
581C2×M16—41no—
582C2×M16—41no—
583C2×M16—41no—
584C22×C8—22no—
585C22×C8—22no—
586C22×C8—22no—
587C22×C8—41no—
588C22×C8—41no—
589C22×C8—41no—
590C22×C8—41no—
591C22×C8—41no—
592C22×C8—41no—
593C22×C8—41no—
594C22×C8—41no—
595C22×C8—41no—
596C22×C8C2411yescharacteristic
597C22×C8C2411yescharacteristic
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C22×C8C2411yescharacteristic
602C22×C8C2411yescharacteristic
603C22×C8C2411yescharacteristic
604C4⋊Q8—22no—
605C4⋊Q8—41no—
606#124—22no—
607#124—41no—
608#124—44no—
609#124—44no—
610#124—44no—
611#123—44no—
612#123—44no—
613#123—44no—
614C22⋊Q8—22no—
615C22⋊Q8—22no—
616C22⋊Q8—22no—
617C22⋊Q8—22no—
618C22⋊Q8—22no—
619C22⋊Q8—41no—
620C22⋊Q8—41no—
621C22⋊Q8—41no—
622C22⋊Q8—41no—
623C22⋊Q8—41no—
624C22⋊Q8—44no—
625C22⋊Q8—41no—
626C22⋊Q8—41no—
627C22⋊Q8—41no—
628C22⋊Q8—41no—
629C22⋊Q8—41no—
630C22⋊Q8—41no—
631#121—22no—
632#121—22no—
633#121—22no—
634#121—22no—
635#121—22no—
636#121—22no—
637#121—22no—
638#121—41no—
639#121—41no—
640#121—41no—
641#121—41no—
642#121—41no—
643#121—44no—
644#121—44no—
645#121—44no—
646#120—42no—
647#120—44no—
648#120—44no—
649C4×Q8—22no—
650C4×Q8—41no—
651C4×D4—22no—
652C4×D4—22no—
653C4×D4—22no—
654C4×D4—41no—
655C4×D4—41no—
656C4×D4—41no—
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—44no—
666C4×D4—44no—
667C4×D4—44no—
668C4×D4—44no—
669C4×D4—44no—
670#117—22no—
671#117—22no—
672#117—22no—
673#117—22no—
674#117—44no—
675#117—41no—
676#117—41no—
677#117—41no—
678#117—41no—
679#117—41no—
680#117—41no—
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⋊C4C2×D411yescharacteristic
700C2×C4⋊C4C2×D411yescharacteristic
701C2×C4⋊C4C2×D411yescharacteristic
702C2×C4⋊C4C2411yescharacteristic
703C2×C4⋊C4C2411yescharacteristic
704C2×C4⋊C4C2411yescharacteristic
705C2×C4⋊C4C2411yescharacteristic
706C2×C4⋊C4C2411yescharacteristic
707C2×C4⋊C4C2411yescharacteristic
708C2×C4⋊C4C2411yescharacteristic
709C2×C4⋊C4C2411yescharacteristic
710C2×C4⋊C4C2411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
713C2×C22⋊C4—21no—
714C2×C22⋊C4—21no—
715C2×C22⋊C4—21no—
716C2×C22⋊C4—21no—
717C2×C22⋊C4—21no—
718C2×C22⋊C4—21no—
719C2×C22⋊C4—21no—
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⋊C4C2×D411yescharacteristic
751C2×C22⋊C4C2×D411yescharacteristic
752C2×C22⋊C4C2×D411yescharacteristic
753C2×C22⋊C4C2×D411yescharacteristic
754C2×C22⋊C4C2×D411yescharacteristic
755C2×C22⋊C4C2×D411yescharacteristic
756C2×C22⋊C4C2×D411yescharacteristic
757C2×C22⋊C4C2×D411yescharacteristic
758C2×C22⋊C4C2×D411yescharacteristic
759C2×C22⋊C4C2×D411yescharacteristic
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C42—21no—
763C2×C42—21no—
764C2×C42—21no—
765C2×C42—21no—
766C2×C42—21no—
767C2×C42—21no—
768C2×C42—21no—
769C2×C42C2411yescharacteristic
770C2×C42C2411yescharacteristic
771C2×C42C2411yescharacteristic
772#107—22no—
773#107—41no—
774#107—41no—
775#106—22no—
776#106—41no—
777#106—41no—
778C4⋊C8—41no—
779C4⋊C8—41no—
780C4⋊C8—41no—
781#103—22no—
782#103—22no—
783#103—22no—
784#103—41no—
785#103—41no—
786#103—41no—
787#103—41no—
788#103—41no—
789#103—41no—
790#103—41no—
791#103—41no—
792#103—41no—
793#103—41no—
794#103—41no—
795#103—41no—
796#103—41no—
797#103—41no—
798#102—22no—
799#102—22no—
800#102—41no—
801#102—41no—
802#102—41no—
803#102—41no—
804#102—41no—
805#102—41no—
806#102—41no—
807#102—41no—
808#102—41no—
809C22⋊C8—22no—
810C22⋊C8—22no—
811C22⋊C8—22no—
812C22⋊C8—22no—
813C22⋊C8—22no—
814C22⋊C8—41no—
815C22⋊C8—41no—
816C22⋊C8—41no—
817C22⋊C8—41no—
818C22⋊C8—41no—
819C22⋊C8—41no—
820#97—22no—
821#97—41no—
822#97—41no—
823#95—21no—
824#95—21no—
825#95—21no—
826#95—21no—
827#95—21no—
828#95—21no—
829#95—21no—
830#95—21no—
831#95—21no—
832#95—21no—
833#95—21no—
834#95—21no—
835#95—21no—
836#95—21no—
837#95—21no—
838#95—21no—
839#95—21no—
840#95—21no—
841#95—21no—
842#95—21no—
843#95—21no—
844#95—21no—
845#95—21no—
846#95—21no—
847#95—21no—
848#95—21no—
849#95—21no—
850#95—21no—
851#95—21no—
852#95—21no—
853#95—21no—
854#95—21no—
855#95—21no—
856#95C2×D411yescharacteristic
857#95C2×D411yescharacteristic
858#95C2×D411yescharacteristic
859#95C2×D411yescharacteristic
860#95C2×D411yescharacteristic
861#95C2×D411yescharacteristic
862C24—21no—
863C24—21no—
864C24—22no—
865C24—22no—
866C24—41no—
867C24—41no—
868C24—41no—
869C24—41no—
870C24—41no—
871C24C22×D411yescharacteristic
872C24C22×D411yescharacteristic
873C24C22×D411yescharacteristic
874C24C22×D411yescharacteristic
875#41—44no—
876#41—44no—
877#41—44no—
878#41—44no—
879#41—82no—
880#41—82no—
881#41—82no—
882#41—82no—
883C2×Q8—21no—
884C2×Q8—21no—
885C2×Q8—21no—
886C2×Q8—21no—
887C2×Q8—21no—
888C2×Q8—21no—
889C2×Q8—21no—
890C2×Q8—21no—
891C2×Q8—21no—
892C2×Q8—21no—
893C2×Q8—21no—
894C2×Q8—21no—
895C2×Q8—21no—
896C2×Q8—21no—
897C2×Q8—21no—
898C2×Q8—21no—
899C2×Q8—21no—
900C2×Q8—42no—
901C2×Q8—42no—
902C2×Q8—44no—
903C2×Q8—81no—
904C2×Q8—81no—
905C2×Q8—81no—
906C2×Q8—81no—
907C2×Q8—82no—
908C2×Q8—82no—
909C2×Q8—82no—
910C2×Q8C2×#4112yes—
911C2×D4—24no—
912C2×D4—22no—
913C2×D4—24no—
914C2×D4—22no—
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—21no—
924C2×D4—21no—
925C2×D4—41no—
926C2×D4—41no—
927C2×D4—41no—
928C2×D4—41no—
929C2×D4—41no—
930C2×D4—41no—
931C2×D4—41no—
932C2×D4—42no—
933C2×D4—42no—
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—81no—
944C2×D4—81no—
945C2×D4—81no—
946C2×D4—81no—
947C2×D4—81no—
948C2×D4—81no—
949C2×D4—81no—
950C2×D4—81no—
951C2×D4—81no—
952C2×D4—81no—
953C2×D4—81no—
954C2×D4C2×#4112yes—
955C2×D4H(5,𝔽2)12yes—
956C22×C4—21no—
957C22×C4—21no—
958C22×C4—21no—
959C22×C4—21no—
960C22×C4—21no—
961C22×C4—21no—
962C22×C4—22no—
963C22×C4—21no—
964C22×C4—21no—
965C22×C4—21no—
966C22×C4—21no—
967C22×C4—21no—
968C22×C4—21no—
969C22×C4—21no—
970C22×C4—21no—
971C22×C4—21no—
972C22×C4—21no—
973C22×C4—21no—
974C22×C4—21no—
975C22×C4—21no—
976C22×C4—21no—
977C22×C4—21no—
978C22×C4—21no—
979C22×C4—21no—
980C22×C4—21no—
981C22×C4—24no—
982C22×C4—22no—
983C22×C4—22no—
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—21no—
996C22×C4—41no—
997C22×C4—41no—
998C22×C4—41no—
999C22×C4—41no—
1000C22×C4—41no—
1001C22×C4—41no—
1002C22×C4—42no—
1003C22×C4—42no—
1004C22×C4—42no—
1005C22×C4—42no—
1006C22×C4—42no—
1007C22×C4—42no—
1008C22×C4—82no—
1009C22×C4—82no—
1010C22×C4—82no—
1011C22×C4—82no—
1012C22×C4—81no—
1013C22×C4—81no—
1014C22×C4—81no—
1015C22×C4—81no—
1016C22×C4—81no—
1017C22×C4—81no—
1018C22×C4—81no—
1019C22×C4—81no—
1020C22×C4—81no—
1021C22×C4—81no—
1022C22×C4—81no—
1023C22×C4—81no—
1024C22×C4—81no—
1025C22×C4—81no—
1026C22×C4C22×D411yescharacteristic
1027C22×C4C22×D411yescharacteristic
1028C22×C4C22×D411yescharacteristic
1029C22×C4C22×D411yescharacteristic
1030C22×C4C22×D411yescharacteristic
1031C22×C4C22×D411yescharacteristic
1032C22×C4C22×D411yescharacteristic
1033C22×C4C22×D411yescharacteristic
1034C22×C4C22×D411yescharacteristic
1035C22×C4C22×D411yescharacteristic
1036C22×C4C2×#4112yes—
1037C22×C4H(5,𝔽2)12yes—
1038C22×C4C2511yescharacteristic
1039Q16—44no—
1040Q16—82no—
1041SD16—44no—
1042SD16—44no—
1043SD16—82no—
1044D8—28no—
1045M16—82no—
1046C2×C8—21no—
1047C2×C8—21no—
1048C2×C8—21no—
1049C2×C8—21no—
1050C2×C8—21no—
1051C2×C8—21no—
1052C2×C8—21no—
1053C2×C8—21no—
1054C2×C8—21no—
1055C2×C8—21no—
1056C2×C8—21no—
1057C2×C8—21no—
1058C2×C8—21no—
1059C2×C8—21no—
1060C2×C8—21no—
1061C2×C8—21no—
1062C2×C8—21no—
1063C2×C8—21no—
1064C2×C8—21no—
1065C2×C8—21no—
1066C2×C8—21no—
1067C2×C8—21no—
1068C2×C8—21no—
1069C2×C8—44no—
1070C2×C8—82no—
1071C2×C8—82no—
1072C2×C8—82no—
1073C2×C8H(5,𝔽2)12yes—
1074C4⋊C4—22no—
1075C4⋊C4—21no—
1076C4⋊C4—21no—
1077C4⋊C4—21no—
1078C4⋊C4—21no—
1079C4⋊C4—21no—
1080C4⋊C4—21no—
1081C4⋊C4—21no—
1082C4⋊C4—21no—
1083C4⋊C4—21no—
1084C4⋊C4—21no—
1085C4⋊C4—21no—
1086C4⋊C4—21no—
1087C4⋊C4—21no—
1088C4⋊C4—21no—
1089C4⋊C4—21no—
1090C4⋊C4—21no—
1091C4⋊C4—21no—
1092C4⋊C4—21no—
1093C4⋊C4—21no—
1094C4⋊C4—21no—
1095C4⋊C4—21no—
1096C4⋊C4—41no—
1097C4⋊C4—41no—
1098C4⋊C4—42no—
1099C4⋊C4—42no—
1100C4⋊C4—42no—
1101C4⋊C4—42no—
1102C4⋊C4—42no—
1103C4⋊C4—42no—
1104C4⋊C4—42no—
1105C4⋊C4—42no—
1106C4⋊C4—42no—
1107C4⋊C4—42no—
1108C4⋊C4—81no—
1109C4⋊C4—81no—
1110C4⋊C4—81no—
1111C4⋊C4—81no—
1112C4⋊C4—81no—
1113C4⋊C4—81no—
1114C4⋊C4—81no—
1115C4⋊C4—81no—
1116C4⋊C4H(5,𝔽2)12yes—
1117C22⋊C4—24no—
1118C22⋊C4—22no—
1119C22⋊C4—22no—
1120C22⋊C4—22no—
1121C22⋊C4—41no—
1122C22⋊C4—41no—
1123C22⋊C4—41no—
1124C22⋊C4—41no—
1125C22⋊C4—41no—
1126C22⋊C4—41no—
1127C22⋊C4—41no—
1128C22⋊C4—41no—
1129C22⋊C4—41no—
1130C22⋊C4—42no—
1131C22⋊C4—42no—
1132C22⋊C4—42no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—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—
1166C42—21no—
1167C42—21no—
1168C42—21no—
1169C42—21no—
1170C42—21no—
1171C42—21no—
1172C42—42no—
1173C42—42no—
1174C42—42no—
1175C42—42no—
1176C42—42no—
1177C42—81no—
1178C42—81no—
1179C23—21no—
1180C23—21no—
1181C23—21no—
1182C23—21no—
1183C23—21no—
1184C23—21no—
1185C23—21no—
1186C23—21no—
1187C23—21no—
1188C23—21no—
1189C23—21no—
1190C23—21no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—22no—
1199C23—21no—
1200C23—22no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—44no—
1208C23—44no—
1209C23—41no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—82no—
1222C23—82no—
1223C23—82no—
1224C23—82no—
1225C23—82no—
1226C23#54612yes—
1227C23#57512yes—
1228C23C23×D411yescharacteristic
1229Q8—22no—
1230Q8—22no—
1231Q8—41no—
1232Q8—41no—
1233Q8—41no—
1234Q8—41no—
1235Q8—41no—
1236Q8—41no—
1237Q8—41no—
1238Q8—41no—
1239Q8—41no—
1240Q8—41no—
1241Q8—84no—
1242Q8—162no—
1243D4—22no—
1244D4—22no—
1245D4—22no—
1246D4—22no—
1247D4—41no—
1248D4—41no—
1249D4—41no—
1250D4—41no—
1251D4—82no—
1252D4—82no—
1253D4—84no—
1254D4—84no—
1255D4—82no—
1256D4—84no—
1257D4—84no—
1258D4—84no—
1259D4—84no—
1260D4—84no—
1261D4—162no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—22no—
1265C2×C4—22no—
1266C2×C4—22no—
1267C2×C4—22no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—22no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—22no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—41no—
1298C2×C4—41no—
1299C2×C4—41no—
1300C2×C4—41no—
1301C2×C4—41no—
1302C2×C4—41no—
1303C2×C4—41no—
1304C2×C4—41no—
1305C2×C4—41no—
1306C2×C4—41no—
1307C2×C4—41no—
1308C2×C4—41no—
1309C2×C4—41no—
1310C2×C4—41no—
1311C2×C4—41no—
1312C2×C4—41no—
1313C2×C4—41no—
1314C2×C4—41no—
1315C2×C4—41no—
1316C2×C4—41no—
1317C2×C4—41no—
1318C2×C4—41no—
1319C2×C4—41no—
1320C2×C4—41no—
1321C2×C4—41no—
1322C2×C4—41no—
1323C2×C4—41no—
1324C2×C4—41no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—41no—
1343C2×C4—41no—
1344C2×C4—41no—
1345C2×C4—41no—
1346C2×C4—41no—
1347C2×C4—41no—
1348C2×C4—41no—
1349C2×C4—82no—
1350C2×C4—82no—
1351C2×C4—84no—
1352C2×C4—84no—
1353C2×C4—82no—
1354C2×C4—84no—
1355C2×C4—84no—
1356C2×C4—162no—
1357C2×C4—162no—
1358C2×C4—162no—
1359C2×C4#54612yes—
1360C2×C4C22×#4111yescharacteristic
1361C2×C4C2×H(5,𝔽2)11yescharacteristic
1362C2×C4C2×H(5,𝔽2)11yescharacteristic
1363C2×C4C2×H(5,𝔽2)11yescharacteristic
1364C2×C4C2×H(5,𝔽2)11yescharacteristic
1365C2×C4#58511yescharacteristic
1366C8—22no—
1367C8—41no—
1368C8—41no—
1369C8—41no—
1370C8—41no—
1371C8—41no—
1372C8—41no—
1373C8—41no—
1374C22—22no—
1375C22—22no—
1376C22—22no—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—42no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—42no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—42no—
1400C22—41no—
1401C22—41no—
1402C22—42no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—42no—
1407C22—42no—
1408C22—88no—
1409C22—81no—
1410C22—81no—
1411C22—81no—
1412C22—81no—
1413C22—81no—
1414C22—81no—
1415C22—81no—
1416C22—81no—
1417C22C2×#54611yescharacteristic
1418C22#348411yescharacteristic
1419C22#349611yescharacteristic
1420C22C2×#57511yescharacteristic
1421C22#358411yescharacteristic
1422C22#358411yescharacteristic
1423C22#358611yescharacteristic
1424C4—22no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—42no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—42no—
1436C4—81no—
1437C4—81no—
1438C4—81no—
1439C4—81no—
1440C4—81no—
1441C4—81no—
1442C4—81no—
1443C4—81no—
1444C4—81no—
1445C4—81no—
1446C4—81no—
1447C4—81no—
1448C4#349011yescharacteristic
1449C4#350511yescharacteristic
1450C4#353411yescharacteristic
1451C4#354311yescharacteristic
1452C2—42no—
1453C2—42no—
1454C2—81no—
1455C2—81no—
1456C2—82no—
1457C2—82no—
1458C2#4299711yescharacteristic
1459C2#6114111yescharacteristic
1460C2#6119711yescharacteristic
1461C2#6158011yescharacteristic
1462C2#6163611yescharacteristic
1463C2#6225511yescharacteristic
1464C2#6231611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#120 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59018C2semidirect
2. #39860C2semidirect
3. #31952C2semidirect
4. #31859C2semidirect
5. #31559C2semidirect
6. #31401C2semidirect
7. #31393C2semidirect
8. #31039C2semidirect
9. #30910C2semidirect
10. #30403C2semidirect
11. #28986C2semidirect
12. #28152C2semidirect
13. #28106C2semidirect
14. #27714C2semidirect
15. #26976C2semidirect
16. #26686C2semidirect
17. #26635C2semidirect
18. #25954C2semidirect
19. #25118C2semidirect
20. #24946C2semidirect
21. #24554C2semidirect
22. #24536C2semidirect
23. #24383C2semidirect
24. #24129C2semidirect
25. #23977C2semidirect
26. #23854C2semidirect
27. #23386C2semidirect
28. #22844C2semidirect
29. #22438C2semidirect
30. #22426C2semidirect
31. #21760C2semidirect
38. C2×#474C22semidirect
42. C2×#451C22semidirect
43. C2×#448C22semidirect
44. C2×#442C22semidirect
45. C2×#442C22semidirect
48. C2×#419C22semidirect
94. #2101C22semidirect
95. #2100C22semidirect
96. #2100C22semidirect
97. #2097C22semidirect
98. #2084C22semidirect
100. #2077C22semidirect
101. #2077C22semidirect
103. #2074C22semidirect
104. #2074C22semidirect
105. #2072C22semidirect
106. #2068C22semidirect
107. #2068C22semidirect
108. #2068C22semidirect
109. #2067C22semidirect
110. #2056C22semidirect
111. #2056C22semidirect
113. #2036C22semidirect
117. #2033C22semidirect
118. #2024C22semidirect
119. #2024C22semidirect
120. #2015C22semidirect
121. #2012C22semidirect
130. #2000C22semidirect
133. #1999C22semidirect
134. #1993C22semidirect
135. #1983C22semidirect
136. #1971C22semidirect
137. #1971C22semidirect
138. #1959C22semidirect
140. #1936C22semidirect
141. #1935C22semidirect
142. #1935C22semidirect
143. #1935C22semidirect
146. #1920C22semidirect
147. #1918C22semidirect
148. #1895C22semidirect
149. #1895C22semidirect
150. #1894C22semidirect
159. #1880C22semidirect
160. #1878C22semidirect
161. #1877C22semidirect
162. #1877C22semidirect
163. #1877C22semidirect
164. #1877C22semidirect
165. #1877C22semidirect
166. #1877C22semidirect
169. #1875C22semidirect
177. #1864C22semidirect
178. #1862C22semidirect
181. #1854C22semidirect
184. #1836C22semidirect
188. #1825C22semidirect
191. #1804C22semidirect
192. #1804C22semidirect
193. #1803C22semidirect
194. #1802C22semidirect
198. #1787C22semidirect
199. #1763C22semidirect

Maximal subgroups

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

subgroupindex
#590182
#398602
#319522
#318592
#315592
#314012
#313932
#310392
#309102
#304032
#289862
#281522
#281062
#277142
#269762
#266862
#266352
#259542
#251182
#249462
#245542
#245362
#243832
#241292
#239772
#238542
#233862
#228442
#224382
#224262
#217602