Finite Group Databasebeta

← #7308207

Subgroups — #7308207

Order 512.

1838 conjugacy classes of subgroups.

The subgroup lattice has 1521 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45018C211yesmaximal, characteristic, complemented
2#42532C211yesmaximal, characteristic, complemented
3#32177C211yesmaximal, characteristic, complemented
4#32128C211yesmaximal, characteristic, complemented
5#31815C211yesmaximal, characteristic, complemented
6#31643C211yesmaximal, characteristic, complemented
7#31507C211yesmaximal, characteristic, complemented
8#31399C211yesmaximal, characteristic, complemented
9#31216C211yesmaximal, characteristic, complemented
10#31020C211yesmaximal, characteristic, complemented
11#30529C211yesmaximal, characteristic, complemented
12#30519C211yesmaximal, characteristic, complemented
13#30444C211yesmaximal, characteristic, complemented
14#30444C211yesmaximal, characteristic, complemented
15#29721C211yesmaximal, characteristic, complemented
16#29669C211yesmaximal, characteristic, complemented
17#28126C211yesmaximal, characteristic, complemented
18#27530C211yesmaximal, characteristic, complemented
19#27222C211yesmaximal, characteristic, complemented
20#26935C211yesmaximal, characteristic, complemented
21#26889C211yesmaximal, characteristic, complemented
22#26733C211yesmaximal, characteristic, complemented
23#26584C211yesmaximal, characteristic, complemented
24#25371C211yesmaximal, characteristic, complemented
25#25321C211yesmaximal, characteristic, complemented
26#24370C211yesmaximal, characteristic, complemented
27#24366C211yesmaximal, characteristic, complemented
28#24245C211yesmaximal, characteristic, complemented
29#24167C211yesmaximal, characteristic, complemented
30#23861C211yesmaximal, characteristic, complemented
31#23317C211yesmaximal, characteristic, complemented
32C22×AGL(1,ℤ/8)C2211yescharacteristic
33C2×#546C2211yescharacteristic
34C2×#542C2211yescharacteristic, complemented
35C2×#493C2211yescharacteristic
36C2×#486C2211yescharacteristic, complemented
37C2×#482C2211yescharacteristic
38C2×#474C2211yescharacteristic, complemented
39C2×#460C2211yescharacteristic, complemented
40C2×#460C2211yescharacteristic, complemented
41C2×#463C2211yescharacteristic, complemented
42C2×#463C2211yescharacteristic, complemented
43C2×#459C2211yescharacteristic
44C2×#459C2211yescharacteristic, complemented
45C2×#449C2211yescharacteristic
46C2×#447C2211yescharacteristic
47C2×#447C2211yescharacteristic
48C2×#447C2211yescharacteristic
49C2×#447C2211yescharacteristic, complemented
50C2×#447C2211yescharacteristic, complemented
51C2×C4×D8C2211yescharacteristic, complemented
52#2824—21no—
53#2756—21no—
54#2714—21no—
55#2703—21no—
56#2696—21no—
57#2684—21no—
58#2678—21no—
59#2670—21no—
60#2670—21no—
61#2631—21no—
62#2619C2211yescharacteristic
63#2617—21no—
64#2563C2211yescharacteristic, complemented
65#2554—21no—
66#2548C2211yescharacteristic, complemented
67#2540—21no—
68#2535C2211yescharacteristic
69#2513C2211yescharacteristic, complemented
70#2495C2211yescharacteristic, complemented
71#2491C2211yescharacteristic
72#2491C2211yescharacteristic
73#2491C2211yescharacteristic, complemented
74#2472—21no—
75#2452C2211yescharacteristic, complemented
76#2448C2211yescharacteristic, complemented
77#2445C2211yescharacteristic, complemented
78#2433C2211yescharacteristic, complemented
79#2433C2211yescharacteristic, complemented
80#2431C2211yescharacteristic
81#2428C2211yescharacteristic
82#2428C2211yescharacteristic
83#2418—21no—
84#2418—21no—
85#2414C2211yescharacteristic
86#2408C2211yescharacteristic
87#2395C2211yescharacteristic
88#2366C2211yescharacteristic, complemented
89#2366C2211yescharacteristic, complemented
90#2362C2211yescharacteristic, complemented
91#2341C2211yescharacteristic
92D4×C22⋊C4C2211yescharacteristic, complemented
93#2324C2211yescharacteristic
94#2309C2211yescharacteristic, complemented
95#2101C2211yescharacteristic, complemented
96#2088C2211yescharacteristic, complemented
97#2076C2211yescharacteristic, complemented
98#2075C2211yescharacteristic, complemented
99#2073C2211yescharacteristic, complemented
100#2073C2211yescharacteristic, complemented
101#2073C2211yescharacteristic, complemented
102#2067C2211yescharacteristic, complemented
103#2065C2211yescharacteristic, complemented
104#2065C2211yescharacteristic, complemented
105#2055C2211yescharacteristic, complemented
106#2054C2211yescharacteristic
107#2054C2211yescharacteristic
108#2054C2211yescharacteristic
109#2054C2211yescharacteristic
110#2054C2211yescharacteristic
111#2054C2211yescharacteristic, complemented
112#2054C2211yescharacteristic, complemented
113#2054C2211yescharacteristic, complemented
114#2054C2211yescharacteristic, complemented
115#2041C2211yescharacteristic, complemented
116#2041C2211yescharacteristic, complemented
117#2036C2211yescharacteristic, complemented
118#2034C2211yescharacteristic, complemented
119#2033C2211yescharacteristic
120#2033C2211yescharacteristic, complemented
121#2024C2211yescharacteristic, complemented
122#2023C2211yescharacteristic, complemented
123#2023C2211yescharacteristic, complemented
124#2023C2211yescharacteristic, complemented
125#2012C2211yescharacteristic
126#2012C2211yescharacteristic
127#2012C2211yescharacteristic, complemented
128#2012C2211yescharacteristic, complemented
129#2011C2211yescharacteristic
130#2011C2211yescharacteristic
131#2011C2211yescharacteristic
132#2011C2211yescharacteristic
133#2011C2211yescharacteristic
134#2011C2211yescharacteristic, complemented
135#2000C2211yescharacteristic
136#2000C2211yescharacteristic
137#2000C2211yescharacteristic, complemented
138#1999C2211yescharacteristic
139#1999C2211yescharacteristic
140#1999C2211yescharacteristic
141#1999C2211yescharacteristic, complemented
142#1999C2211yescharacteristic, complemented
143#1987C2211yescharacteristic, complemented
144#1987C2211yescharacteristic, complemented
145#1983C2211yescharacteristic, complemented
146#1982C2211yescharacteristic, complemented
147#1970C2211yescharacteristic
148#1970C2211yescharacteristic, complemented
149#1968C2211yescharacteristic, complemented
150#1958C2211yescharacteristic, complemented
151#1954C2211yescharacteristic
152#1939C2211yescharacteristic, complemented
153#1939C2211yescharacteristic, complemented
154#1934C2211yescharacteristic, complemented
155#1934C2211yescharacteristic, complemented
156#1934C2211yescharacteristic, complemented
157#1926C2211yescharacteristic, complemented
158#1925C2211yescharacteristic, complemented
159#1925C2211yescharacteristic, complemented
160#1925C2211yescharacteristic, complemented
161#1925C2211yescharacteristic, complemented
162#1923C2211yescharacteristic, complemented
163#1923C2211yescharacteristic, complemented
164#1923C2211yescharacteristic, complemented
165#1923C2211yescharacteristic, complemented
166#1918C2211yescharacteristic, complemented
167#1916C2211yescharacteristic, complemented
168#1916C2211yescharacteristic, complemented
169#1895C2211yescharacteristic
170#1895C2211yescharacteristic, complemented
171#1895C2211yescharacteristic, complemented
172#1880C2211yescharacteristic, complemented
173#1880C2211yescharacteristic, complemented
174#1879C2211yescharacteristic
175#1879C2211yescharacteristic
176#1879C2211yescharacteristic
177#1879C2211yescharacteristic
178#1879C2211yescharacteristic
179#1879C2211yescharacteristic, complemented
180#1879C2211yescharacteristic, complemented
181#1877C2211yescharacteristic, complemented
182#1875C2211yescharacteristic
183#1875C2211yescharacteristic, complemented
184#1870C2211yescharacteristic
185#1863C2211yescharacteristic, complemented
186#1863C2211yescharacteristic, complemented
187#1862C2211yescharacteristic, complemented
188#1862C2211yescharacteristic, complemented
189#1851C2211yescharacteristic, complemented
190#1851C2211yescharacteristic, complemented
191#1825C2211yescharacteristic, complemented
192#1805C2211yescharacteristic, complemented
193#1804C2211yescharacteristic, complemented
194#1804C2211yescharacteristic, complemented
195#1798C2211yescharacteristic, complemented
196#1798C2211yescharacteristic, complemented
197#1788C2211yescharacteristic
198#1788C2211yescharacteristic
199#1786C2211yescharacteristic, complemented
200#1786C2211yescharacteristic, complemented
201C4×#103C2211yescharacteristic, complemented
202C4×#102C2211yescharacteristic, complemented
203C22×#41C2311yescharacteristic
204C23×D4C2311yescharacteristic
205C23×D4C2311yescharacteristic
206C2×AGL(1,ℤ/8)—42no—
207C2×AGL(1,ℤ/8)—42no—
208C2×AGL(1,ℤ/8)—42no—
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×D8C2311yescharacteristic
213C22×D8C2311yescharacteristic
214C22×D8C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×M16C2311yescharacteristic
222#546—42no—
223#546—42no—
224#542—42no—
225#542—42no—
226C2×C4⋊Q8C2311yescharacteristic
227C2×C4⋊Q8C2311yescharacteristic
228C2×#127C2311yescharacteristic
229C2×#127C2311yescharacteristic
230C2×#127C2311yescharacteristic
231C2×#127C2311yescharacteristic
232C2×#126—21no—
233C2×#124—21no—
234C2×#124—21no—
235C2×#124—21no—
236C2×#124—21no—
237C2×#124C2311yescharacteristic
238C2×#124C2311yescharacteristic
239C2×#123—21no—
240C2×#123—21no—
241C2×#123—21no—
242C2×C22⋊Q8—21no—
243C2×C22⋊Q8—21no—
244C2×C22⋊Q8C2311yescharacteristic
245C2×#121—21no—
246C2×#121—21no—
247C2×#121—21no—
248C2×#121C2311yescharacteristic
249C2×#121C2311yescharacteristic
250C2×#121C2311yescharacteristic
251C2×#121C2311yescharacteristic
252C2×#121C2311yescharacteristic
253C2×#121C2311yescharacteristic
254C2×#121C2311yescharacteristic
255C2×#120—21no—
256C2×#120—21no—
257C2×#120—21no—
258C2×#120—21no—
259C2×#120—21no—
260C2×#120—21no—
261C2×C4×Q8C2311yescharacteristic
262C2×C4×Q8C2311yescharacteristic
263C2×C4×D4—21no—
264C2×C4×D4—21no—
265C2×C4×D4C2311yescharacteristic
266C2×C4×D4C2311yescharacteristic
267C2×C4×D4C2311yescharacteristic
268C2×C4×D4C2311yescharacteristic
269C2×C4×D4C2311yescharacteristic
270C2×C4×D4C2311yescharacteristic
271C2×#117C2311yescharacteristic
272C2×#117C2311yescharacteristic
273C22×C22⋊C4—21no—
274C22×C22⋊C4—21no—
275#493—42no—
276#486—42no—
277#482—42no—
278#474—42no—
279#463—42no—
280#463—42no—
281#460—42no—
282#460—42no—
283#459—42no—
284#459—42no—
285#449—42no—
286#447—42no—
287#447—42no—
288#447—42no—
289#447—42no—
290#447—42no—
291C4×D8—42no—
292C2×#107C2311yescharacteristic
293C2×#107C2311yescharacteristic
294C2×#107C2311yescharacteristic
295C2×#106C2311yescharacteristic
296C2×C4⋊C8C2311yescharacteristic
297C2×C4⋊C8C2311yescharacteristic
298C2×C4⋊C8C2311yescharacteristic
299C2×C4⋊C8C2311yescharacteristic
300C2×C4⋊C8C2311yescharacteristic
301C2×C4⋊C8C2311yescharacteristic
302C2×C4⋊C8C2311yescharacteristic
303C2×#103C2311yescharacteristic
304C2×#103C2311yescharacteristic
305C2×#103C2311yescharacteristic
306C2×#103C2311yescharacteristic
307C2×#103C2311yescharacteristic
308C2×#102C2311yescharacteristic
309C2×#102C2311yescharacteristic
310C2×#102C2311yescharacteristic
311C2×#102C2311yescharacteristic
312C2×#102C2311yescharacteristic
313C2×#102C2311yescharacteristic
314C2×#102C2311yescharacteristic
315C2×#102C2311yescharacteristic
316C2×#102C2311yescharacteristic
317C2×#102C2311yescharacteristic
318C2×#102C2311yescharacteristic
319C2×#102C2311yescharacteristic
320C2×#102C2311yescharacteristic
321C2×#102C2311yescharacteristic
322C2×#102C2311yescharacteristic
323C2×#102C2311yescharacteristic
324C2×#102C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×#102C2311yescharacteristic
330C2×#102C2311yescharacteristic
331C2×#102C2311yescharacteristic
332C2×#102C2311yescharacteristic
333C2×#102C2311yescharacteristic
334C2×#102C2311yescharacteristic
335C2×C22⋊C8C2311yescharacteristic
336C2×C22⋊C8C2311yescharacteristic
337C2×C22⋊C8C2311yescharacteristic
338C2×C22⋊C8C2311yescharacteristic
339C2×C22⋊C8C2311yescharacteristic
340C2×C22⋊C8C2311yescharacteristic
341C2×C22⋊C8C2311yescharacteristic
342C2×C4×C8C2311yescharacteristic
343C2×C4×C8C2311yescharacteristic
344C2×C4×C8C2311yescharacteristic
345#400—21no—
346#400D411yescharacteristic
347#399—21no—
348#399D411yescharacteristic
349#398D411yescharacteristic
350#397—21no—
351#397—21no—
352#397—21no—
353#397—21no—
354#397—21no—
355#397D411yescharacteristic
356#397D411yescharacteristic
357#397D411yescharacteristic
358#396—21no—
359#394—21no—
360#394—21no—
361#394—21no—
362#394—21no—
363#394—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#394D411yescharacteristic
373#394D411yescharacteristic
374#393—21no—
375#393—21no—
376#393—21no—
377#393—21no—
378#393—21no—
379#393—21no—
380#392—21no—
381#392—21no—
382#392—21no—
383#392—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#391C2311yescharacteristic
394#390—21no—
395#390—21no—
396#390—21no—
397#390—21no—
398#390—21no—
399#390—21no—
400#390—21no—
401#390—21no—
402#390—21no—
403#390—21no—
404#390C2311yescharacteristic
405#390C2311yescharacteristic
406#390C2311yescharacteristic
407#390C2311yescharacteristic
408#390C2311yescharacteristic
409#390C2311yescharacteristic
410#390C2311yescharacteristic
411#390C2311yescharacteristic
412#390C2311yescharacteristic
413#390C2311yescharacteristic
414#390C2311yescharacteristic
415#390C2311yescharacteristic
416#390C2311yescharacteristic
417#390C2311yescharacteristic
418#390C2311yescharacteristic
419#389C2311yescharacteristic
420#389C2311yescharacteristic
421#389C2311yescharacteristic
422#389C2311yescharacteristic
423#388—21no—
424#388—21no—
425#388—21no—
426#388—21no—
427#388—21no—
428#388—21no—
429#388—21no—
430#388—21no—
431#388—21no—
432#388—21no—
433#388—21no—
434#388—21no—
435#387—21no—
436#386—21no—
437#386—21no—
438#386—21no—
439#386—21no—
440#386—21no—
441#386—21no—
442#386—21no—
443#386—21no—
444#386—21no—
445#386—21no—
446#386—21no—
447#386—21no—
448#386—21no—
449#386—21no—
450#385—21no—
451#385—21no—
452#383—21no—
453#382C2311yescharacteristic
454#382C2311yescharacteristic
455#380—21no—
456#380—21no—
457#380—21no—
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#379—21no—
463#379—21no—
464#379—21no—
465#379—21no—
466C4×C4⋊C4—21no—
467C4×C4⋊C4C2311yescharacteristic
468C4×C4⋊C4C2311yescharacteristic
469C4×C4⋊C4C2311yescharacteristic
470C4×C4⋊C4C2311yescharacteristic
471C4×C4⋊C4C2311yescharacteristic
472C4×C22⋊C4—21no—
473C4×C22⋊C4C2311yescharacteristic
474C4×C22⋊C4C2311yescharacteristic
475C4×C22⋊C4C2311yescharacteristic
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#336C2311yescharacteristic
493#336C2311yescharacteristic
494#336C2311yescharacteristic
495#336C2311yescharacteristic
496#336C2311yescharacteristic
497#336C2311yescharacteristic
498#336C2311yescharacteristic
499#336C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502C25—21no—
503C25—21no—
504C2×#41—22no—
505C2×#41—22no—
506C2×#41—41no—
507C2×#41—41no—
508C2×#41—41no—
509C2×#41—41no—
510C22×Q8—21no—
511C22×Q8—21no—
512C22×Q8C2411yescharacteristic
513C22×D4—22no—
514C22×D4—22no—
515C22×D4—21no—
516C22×D4—21no—
517C22×D4—21no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
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—41no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—41no—
539C22×D4—41no—
540C22×D4—41no—
541C22×D4—41no—
542C22×D4—41no—
543C22×D4C2×D411yescharacteristic
544C22×D4C2411yescharacteristic
545C22×D4C2411yescharacteristic
546C22×D4C2411yescharacteristic
547C22×D4C2411yescharacteristic
548C22×D4C2411yescharacteristic
549C22×D4C2411yescharacteristic
550C23×C4—21no—
551C23×C4—21no—
552C23×C4—21no—
553C23×C4—21no—
554C23×C4—21no—
555C23×C4—21no—
556C23×C4C2411yescharacteristic
557C23×C4C2411yescharacteristic
558AGL(1,ℤ/8)—416no—
559C2×SD16—22no—
560C2×SD16—22no—
561C2×SD16—22no—
562C2×SD16—22no—
563C2×SD16—41no—
564C2×SD16—41no—
565C2×SD16—41no—
566C2×SD16—41no—
567C2×SD16—41no—
568C2×D8—22no—
569C2×D8—22no—
570C2×D8—22no—
571C2×D8—22no—
572C2×D8—22no—
573C2×D8—22no—
574C2×D8—41no—
575C2×D8—41no—
576C2×D8—41no—
577C2×D8—41no—
578C2×D8—41no—
579C2×D8—41no—
580C2×D8—41no—
581C2×D8—41no—
582C2×D8—41no—
583C2×D8—41no—
584C2×D8—41no—
585C2×D8—41no—
586C2×D8—41no—
587C2×D8—41no—
588C2×D8—41no—
589C2×D8—41no—
590C2×D8—41no—
591C2×D8—41no—
592C2×D8—41no—
593C2×D8—41no—
594C2×D8—41no—
595C2×M16—41no—
596C2×M16—41no—
597C2×M16—41no—
598C22×C8C2411yescharacteristic
599C22×C8C2411yescharacteristic
600C22×C8C2411yescharacteristic
601C22×C8C2411yescharacteristic
602C22×C8C2411yescharacteristic
603C22×C8C2411yescharacteristic
604C22×C8C2411yescharacteristic
605C22×C8C2411yescharacteristic
606C4⋊Q8—22no—
607C4⋊Q8—41no—
608C4⋊Q8—41no—
609C4⋊Q8—41no—
610#127—22no—
611#127—22no—
612#127—41no—
613#127—41no—
614#127—41no—
615#127—41no—
616#127—41no—
617#127—41no—
618#126—44no—
619#124—22no—
620#124—22no—
621#124—41no—
622#124—41no—
623#124—44no—
624#124—82no—
625#124—82no—
626#124—82no—
627#123—44no—
628#123—44no—
629#123—82no—
630C22⋊Q8—22no—
631C22⋊Q8—22no—
632C22⋊Q8—44no—
633C22⋊Q8—82no—
634#121—22no—
635#121—22no—
636#121—41no—
637#121—41no—
638#121—41no—
639#121—41no—
640#121—44no—
641#121—41no—
642#121—41no—
643#121—41no—
644#121—41no—
645#121—41no—
646#121—41no—
647#121—41no—
648#121—41no—
649#121—82no—
650#121—82no—
651#120—44no—
652#120—82no—
653#120—82no—
654#120—82no—
655#120—82no—
656#120—82no—
657C4×Q8—22no—
658C4×Q8—41no—
659C4×Q8—41no—
660C4×Q8—41no—
661C4×D4—22no—
662C4×D4—22no—
663C4×D4—41no—
664C4×D4—41no—
665C4×D4—41no—
666C4×D4—41no—
667C4×D4—41no—
668C4×D4—41no—
669C4×D4—41no—
670C4×D4—41no—
671C4×D4—41no—
672C4×D4—41no—
673C4×D4—82no—
674C4×D4—82no—
675#117—41no—
676#117—41no—
677#117—41no—
678#117—41no—
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⋊C4C2×D411yescharacteristic
689C2×C4⋊C4C2×D411yescharacteristic
690C2×C4⋊C4C2×D411yescharacteristic
691C2×C4⋊C4C2×D411yescharacteristic
692C2×C4⋊C4C2×D411yescharacteristic
693C2×C4⋊C4C2×D411yescharacteristic
694C2×C4⋊C4C2×D411yescharacteristic
695C2×C4⋊C4C2411yescharacteristic
696C2×C4⋊C4C2411yescharacteristic
697C2×C4⋊C4C2411yescharacteristic
698C2×C4⋊C4C2411yescharacteristic
699C2×C4⋊C4C2411yescharacteristic
700C2×C4⋊C4C2411yescharacteristic
701C2×C4⋊C4C2411yescharacteristic
702C2×C4⋊C4C2411yescharacteristic
703C2×C4⋊C4C2411yescharacteristic
704C2×C22⋊C4—21no—
705C2×C22⋊C4—21no—
706C2×C22⋊C4—21no—
707C2×C22⋊C4—21no—
708C2×C22⋊C4—21no—
709C2×C22⋊C4—21no—
710C2×C22⋊C4—21no—
711C2×C22⋊C4—21no—
712C2×C22⋊C4—21no—
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⋊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—44no—
757C2×C22⋊C4—82no—
758C2×C22⋊C4C2×D411yescharacteristic
759C2×C22⋊C4C2×D411yescharacteristic
760C2×C22⋊C4C2×D411yescharacteristic
761C2×C22⋊C4C2×D411yescharacteristic
762C2×C22⋊C4C2×D411yescharacteristic
763C2×C22⋊C4C2×D411yescharacteristic
764C2×C22⋊C4C2×D411yescharacteristic
765C2×C22⋊C4C2×D411yescharacteristic
766C2×C22⋊C4C2×D411yescharacteristic
767C2×C22⋊C4C2×D411yescharacteristic
768C2×C42—21no—
769C2×C42—21no—
770C2×C42—21no—
771C2×C42—21no—
772C2×C42—21no—
773C2×C42—21no—
774C2×C42C2411yescharacteristic
775C2×C42C2411yescharacteristic
776C2×C42C2411yescharacteristic
777C2×C42C2411yescharacteristic
778C2×C42C2411yescharacteristic
779#107—22no—
780#107—41no—
781#107—41no—
782#106—41no—
783C4⋊C8—41no—
784C4⋊C8—41no—
785C4⋊C8—41no—
786C4⋊C8—41no—
787C4⋊C8—41no—
788C4⋊C8—41no—
789C4⋊C8—41no—
790#103—22no—
791#103—41no—
792#103—41no—
793#103—41no—
794#103—41no—
795#102—22no—
796#102—22no—
797#102—22no—
798#102—22no—
799#102—22no—
800#102—22no—
801#102—22no—
802#102—22no—
803#102—41no—
804#102—41no—
805#102—41no—
806#102—41no—
807#102—41no—
808#102—41no—
809#102—41no—
810#102—41no—
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—
822C22⋊C8—41no—
823C22⋊C8—41no—
824C22⋊C8—41no—
825C22⋊C8—41no—
826C22⋊C8—41no—
827C22⋊C8—41no—
828C22⋊C8—41no—
829C4×C8—41no—
830C4×C8—41no—
831C4×C8—41no—
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#95C2×D411yescharacteristic
850#95C2×D411yescharacteristic
851#95C2×D411yescharacteristic
852#95C2×D411yescharacteristic
853#95C2×D411yescharacteristic
854#95C2×D411yescharacteristic
855#95C2×D411yescharacteristic
856#95C2×D411yescharacteristic
857#95C2×D411yescharacteristic
858#95C2×D411yescharacteristic
859C24—21no—
860C24—21no—
861C24—21no—
862C24—21no—
863C24—21no—
864C24—21no—
865C24—42no—
866C24—42no—
867C24—42no—
868C24—42no—
869C24—81no—
870C24—81no—
871C24—81no—
872C24—81no—
873C24—81no—
874C24—81no—
875C24—81no—
876C24—81no—
877C24—81no—
878C24—81no—
879C24C22×D411yescharacteristic
880C24C22×D411yescharacteristic
881#41—44no—
882#41—82no—
883#41—82no—
884#41—82no—
885C2×Q8—21no—
886C2×Q8—21no—
887C2×Q8—21no—
888C2×Q8—21no—
889C2×Q8—21no—
890C2×Q8—42no—
891C2×Q8—81no—
892C2×Q8—81no—
893C2×Q8—81no—
894C2×Q8—81no—
895C2×Q8—81no—
896C2×Q8H(5,𝔽2)12yes—
897C2×D4—21no—
898C2×D4—21no—
899C2×D4—21no—
900C2×D4—21no—
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—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—41no—
932C2×D4—41no—
933C2×D4—41no—
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—44no—
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—81no—
957C2×D4—81no—
958C2×D4—81no—
959C2×D4—81no—
960C2×D4—81no—
961C2×D4—81no—
962C2×D4—81no—
963C2×D4—81no—
964C2×D4—81no—
965C2×D4—81no—
966C2×D4—81no—
967C2×D4—81no—
968C2×D4—81no—
969C2×D4—81no—
970C2×D4—81no—
971C2×D4—82no—
972C2×D4—82no—
973C2×D4—82no—
974C2×D4—82no—
975C2×D4—82no—
976C2×D4—82no—
977C2×D4—82no—
978C2×D4—81no—
979C2×D4—81no—
980C2×D4—81no—
981C2×D4—81no—
982C2×D4—81no—
983C2×D4—81no—
984C2×D4—81no—
985C2×D4—81no—
986C2×D4—81no—
987C2×D4—81no—
988C2×D4—81no—
989C2×D4—81no—
990C2×D4—81no—
991C2×D4—81no—
992C2×D4—81no—
993C2×D4—81no—
994C2×D4—81no—
995C2×D4—81no—
996C2×D4H(5,𝔽2)12yes—
997C2×D4H(5,𝔽2)12yes—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—42no—
1021C22×C4—42no—
1022C22×C4—42no—
1023C22×C4—42no—
1024C22×C4—42no—
1025C22×C4—81no—
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×C4C22×D411yescharacteristic
1050C22×C4C2511yescharacteristic
1051SD16—44no—
1052SD16—44no—
1053SD16—82no—
1054D8—44no—
1055D8—44no—
1056D8—44no—
1057D8—82no—
1058D8—82no—
1059D8—82no—
1060D8—82no—
1061D8—82no—
1062D8—82no—
1063M16—44no—
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—21no—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C4⋊C4—24no—
1089C4⋊C4—22no—
1090C4⋊C4—22no—
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—21no—
1105C4⋊C4—21no—
1106C4⋊C4—21no—
1107C4⋊C4—21no—
1108C4⋊C4—41no—
1109C4⋊C4—41no—
1110C4⋊C4—41no—
1111C4⋊C4—41no—
1112C4⋊C4—41no—
1113C4⋊C4—42no—
1114C4⋊C4—42no—
1115C4⋊C4—42no—
1116C4⋊C4—81no—
1117C4⋊C4—81no—
1118C4⋊C4—81no—
1119C4⋊C4—81no—
1120C4⋊C4—81no—
1121C4⋊C4H(5,𝔽2)12yes—
1122C22⋊C4—24no—
1123C22⋊C4—22no—
1124C22⋊C4—22no—
1125C22⋊C4—22no—
1126C22⋊C4—22no—
1127C22⋊C4—41no—
1128C22⋊C4—41no—
1129C22⋊C4—41no—
1130C22⋊C4—41no—
1131C22⋊C4—41no—
1132C22⋊C4—41no—
1133C22⋊C4—42no—
1134C22⋊C4—42no—
1135C22⋊C4—42no—
1136C22⋊C4—42no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—42no—
1140C22⋊C4—42no—
1141C22⋊C4—42no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—81no—
1149C22⋊C4—81no—
1150C22⋊C4—81no—
1151C22⋊C4—81no—
1152C22⋊C4—81no—
1153C22⋊C4—81no—
1154C22⋊C4—81no—
1155C22⋊C4—81no—
1156C22⋊C4—81no—
1157C22⋊C4—81no—
1158C22⋊C4—81no—
1159C22⋊C4—81no—
1160C22⋊C4—81no—
1161C22⋊C4—81no—
1162C22⋊C4—81no—
1163C22⋊C4—81no—
1164C22⋊C4—81no—
1165C22⋊C4—81no—
1166C22⋊C4—81no—
1167C22⋊C4—81no—
1168C22⋊C4—81no—
1169C22⋊C4—81no—
1170C22⋊C4—81no—
1171C22⋊C4—81no—
1172C22⋊C4—81no—
1173C22⋊C4—81no—
1174C22⋊C4—81no—
1175C22⋊C4—81no—
1176C22⋊C4—81no—
1177C22⋊C4—81no—
1178C22⋊C4—81no—
1179C22⋊C4—81no—
1180C22⋊C4—81no—
1181C22⋊C4—81no—
1182C22⋊C4—81no—
1183C22⋊C4—81no—
1184C42—21no—
1185C42—21no—
1186C42—21no—
1187C42—21no—
1188C42—21no—
1189C42—21no—
1190C42—21no—
1191C42—21no—
1192C42—21no—
1193C42—21no—
1194C42—42no—
1195C42—42no—
1196C42—42no—
1197C42—81no—
1198C42—81no—
1199C42—81no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—22no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—22no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—41no—
1226C23—41no—
1227C23—41no—
1228C23—41no—
1229C23—41no—
1230C23—41no—
1231C23—41no—
1232C23—41no—
1233C23—41no—
1234C23—41no—
1235C23—41no—
1236C23—41no—
1237C23—41no—
1238C23—41no—
1239C23—41no—
1240C23—41no—
1241C23—41no—
1242C23—41no—
1243C23—41no—
1244C23—41no—
1245C23—41no—
1246C23—41no—
1247C23—41no—
1248C23—41no—
1249C23—41no—
1250C23—41no—
1251C23—41no—
1252C23—41no—
1253C23—41no—
1254C23—41no—
1255C23—41no—
1256C23—84no—
1257C23—84no—
1258C23—84no—
1259C23—84no—
1260C23—162no—
1261C23—162no—
1262C23—162no—
1263C23—162no—
1264C23—162no—
1265C23—162no—
1266C23—162no—
1267C23—162no—
1268C23—162no—
1269C23—162no—
1270C23C23×D411yescharacteristic
1271Q8—22no—
1272Q8—22no—
1273Q8—41no—
1274Q8—41no—
1275Q8—162no—
1276Q8—162no—
1277D4—22no—
1278D4—22no—
1279D4—22no—
1280D4—22no—
1281D4—41no—
1282D4—41no—
1283D4—41no—
1284D4—41no—
1285D4—41no—
1286D4—41no—
1287D4—41no—
1288D4—41no—
1289D4—41no—
1290D4—41no—
1291D4—41no—
1292D4—41no—
1293D4—41no—
1294D4—41no—
1295D4—41no—
1296D4—41no—
1297D4—41no—
1298D4—41no—
1299D4—41no—
1300D4—41no—
1301D4—84no—
1302D4—84no—
1303D4—82no—
1304D4—84no—
1305D4—84no—
1306D4—84no—
1307D4—162no—
1308D4—162no—
1309D4—162no—
1310D4—162no—
1311D4—162no—
1312D4—162no—
1313D4—162no—
1314D4—162no—
1315D4—162no—
1316D4—162no—
1317D4—162no—
1318D4—162no—
1319D4—162no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—22no—
1339C2×C4—22no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—41no—
1362C2×C4—41no—
1363C2×C4—41no—
1364C2×C4—41no—
1365C2×C4—41no—
1366C2×C4—41no—
1367C2×C4—41no—
1368C2×C4—41no—
1369C2×C4—41no—
1370C2×C4—41no—
1371C2×C4—41no—
1372C2×C4—41no—
1373C2×C4—41no—
1374C2×C4—41no—
1375C2×C4—41no—
1376C2×C4—41no—
1377C2×C4—41no—
1378C2×C4—41no—
1379C2×C4—41no—
1380C2×C4—41no—
1381C2×C4—41no—
1382C2×C4—41no—
1383C2×C4—41no—
1384C2×C4—41no—
1385C2×C4—41no—
1386C2×C4—41no—
1387C2×C4—41no—
1388C2×C4—41no—
1389C2×C4—41no—
1390C2×C4—41no—
1391C2×C4—41no—
1392C2×C4—84no—
1393C2×C4—162no—
1394C2×C4—162no—
1395C2×C4—162no—
1396C2×C4—162no—
1397C2×C4—162no—
1398C2×C4#57612yes—
1399C2×C4#57612yes—
1400C2×C4C2×H(5,𝔽2)11yescharacteristic
1401C2×C4C2×H(5,𝔽2)11yescharacteristic
1402C2×C4C2×H(5,𝔽2)11yescharacteristic
1403C2×C4C2×H(5,𝔽2)11yescharacteristic
1404C2×C4#58511yescharacteristic
1405C2×C4#58511yescharacteristic
1406C8—41no—
1407C8—41no—
1408C8—41no—
1409C8—41no—
1410C8—41no—
1411C8—41no—
1412C8—41no—
1413C8—41no—
1414C22—41no—
1415C22—41no—
1416C22—42no—
1417C22—41no—
1418C22—42no—
1419C22—41no—
1420C22—42no—
1421C22—42no—
1422C22—41no—
1423C22—41no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—42no—
1433C22—42no—
1434C22—81no—
1435C22—81no—
1436C22—81no—
1437C22—81no—
1438C22—81no—
1439C22—81no—
1440C22—81no—
1441C22—81no—
1442C22—81no—
1443C22—81no—
1444C22—81no—
1445C22—81no—
1446C22—81no—
1447C22—81no—
1448C22—81no—
1449C22—81no—
1450C22—81no—
1451C22—81no—
1452C22—81no—
1453C22—81no—
1454C22—81no—
1455C22—81no—
1456C22—81no—
1457C22—81no—
1458C22—81no—
1459C22—81no—
1460C22—81no—
1461C22—81no—
1462C22—81no—
1463C22—81no—
1464C22—81no—
1465C22—81no—
1466C22—81no—
1467C22—81no—
1468C22—81no—
1469C22—81no—
1470C22—168no—
1471C22—168no—
1472C22#348411yescharacteristic
1473C22#348811yescharacteristic
1474C22#348811yescharacteristic
1475C22C2×#57611yescharacteristic
1476C22C2×#57611yescharacteristic
1477C22#358411yescharacteristic
1478C22#358511yescharacteristic
1479C4—22no—
1480C4—22no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—41no—
1487C4—41no—
1488C4—41no—
1489C4—42no—
1490C4—41no—
1491C4—41no—
1492C4—42no—
1493C4—81no—
1494C4—81no—
1495C4—81no—
1496C4—81no—
1497C4—81no—
1498C4—81no—
1499C4—81no—
1500C4—81no—
1501C4#353211yescharacteristic
1502C4#354211yescharacteristic
1503C4#355811yescharacteristic
1504C4#356011yescharacteristic
1505C2—81no—
1506C2—81no—
1507C2—82no—
1508C2—82no—
1509C2—161no—
1510C2—161no—
1511C2—161no—
1512C2—161no—
1513C2#4784411yescharacteristic
1514C2#6161611yescharacteristic
1515C2#6166111yescharacteristic
1516C2#6203111yescharacteristic
1517C2#6204011yescharacteristic
1518C2#6206411yescharacteristic
1519C2#6206411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2395 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #45018C2semidirect
2. #42532C2semidirect
3. #32177C2semidirect
4. #32128C2semidirect
5. #31815C2semidirect
6. #31643C2semidirect
7. #31507C2semidirect
8. #31399C2semidirect
9. #31216C2semidirect
10. #31020C2semidirect
11. #30529C2semidirect
12. #30519C2semidirect
13. #30444C2semidirect
14. #30444C2semidirect
15. #29721C2semidirect
16. #29669C2semidirect
17. #28126C2semidirect
18. #27530C2semidirect
19. #27222C2semidirect
20. #26935C2semidirect
21. #26889C2semidirect
22. #26733C2semidirect
23. #26584C2semidirect
24. #25371C2semidirect
25. #25321C2semidirect
26. #24370C2semidirect
27. #24366C2semidirect
28. #24245C2semidirect
29. #24167C2semidirect
30. #23861C2semidirect
31. #23317C2semidirect
34. C2×#542C22semidirect
36. C2×#486C22semidirect
38. C2×#474C22semidirect
39. C2×#460C22semidirect
40. C2×#460C22semidirect
41. C2×#463C22semidirect
42. C2×#463C22semidirect
44. C2×#459C22semidirect
49. C2×#447C22semidirect
50. C2×#447C22semidirect
51. C2×C4×D8C22semidirect
64. #2563C22semidirect
66. #2548C22semidirect
69. #2513C22semidirect
70. #2495C22semidirect
73. #2491C22semidirect
75. #2452C22semidirect
76. #2448C22semidirect
77. #2445C22semidirect
78. #2433C22semidirect
79. #2433C22semidirect
88. #2366C22semidirect
89. #2366C22semidirect
90. #2362C22semidirect
92. D4×C22⋊C4C22semidirect
94. #2309C22semidirect
95. #2101C22semidirect
96. #2088C22semidirect
97. #2076C22semidirect
98. #2075C22semidirect
99. #2073C22semidirect
100. #2073C22semidirect
101. #2073C22semidirect
102. #2067C22semidirect
103. #2065C22semidirect
104. #2065C22semidirect
105. #2055C22semidirect
111. #2054C22semidirect
112. #2054C22semidirect
113. #2054C22semidirect
114. #2054C22semidirect
115. #2041C22semidirect
116. #2041C22semidirect
117. #2036C22semidirect
118. #2034C22semidirect
120. #2033C22semidirect
121. #2024C22semidirect
122. #2023C22semidirect
123. #2023C22semidirect
124. #2023C22semidirect
127. #2012C22semidirect
128. #2012C22semidirect
134. #2011C22semidirect
137. #2000C22semidirect
141. #1999C22semidirect
142. #1999C22semidirect
143. #1987C22semidirect
144. #1987C22semidirect
145. #1983C22semidirect
146. #1982C22semidirect
148. #1970C22semidirect
149. #1968C22semidirect
150. #1958C22semidirect
152. #1939C22semidirect
153. #1939C22semidirect
154. #1934C22semidirect
155. #1934C22semidirect
156. #1934C22semidirect
157. #1926C22semidirect
158. #1925C22semidirect
159. #1925C22semidirect
160. #1925C22semidirect
161. #1925C22semidirect
162. #1923C22semidirect
163. #1923C22semidirect
164. #1923C22semidirect
165. #1923C22semidirect
166. #1918C22semidirect
167. #1916C22semidirect
168. #1916C22semidirect
170. #1895C22semidirect
171. #1895C22semidirect
172. #1880C22semidirect
173. #1880C22semidirect
179. #1879C22semidirect
180. #1879C22semidirect
181. #1877C22semidirect
183. #1875C22semidirect
185. #1863C22semidirect
186. #1863C22semidirect
187. #1862C22semidirect
188. #1862C22semidirect
189. #1851C22semidirect
190. #1851C22semidirect
191. #1825C22semidirect
192. #1805C22semidirect
193. #1804C22semidirect
194. #1804C22semidirect
195. #1798C22semidirect
196. #1798C22semidirect
199. #1786C22semidirect
200. #1786C22semidirect
201. C4×#103C22semidirect
202. C4×#102C22semidirect

Maximal subgroups

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

subgroupindex
#450182
#425322
#321772
#321282
#318152
#316432
#315072
#313992
#312162
#310202
#305292
#305192
#304442
#297212
#296692
#281262
#275302
#272222
#269352
#268892
#267332
#265842
#253712
#253212
#243702
#243662
#242452
#241672
#238612
#233172