Finite Group Databasebeta

← #6471474

Subgroups — #6471474

Order 512.

2277 conjugacy classes of subgroups.

The subgroup lattice has 1455 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#37282C211yesmaximal, characteristic
2#34173C211yesmaximal, characteristic, complemented
3#32964C211yesmaximal, characteristic, complemented
4#32918C211yesmaximal, characteristic, complemented
5#32882C211yesmaximal, characteristic, complemented
6#32879C211yesmaximal, characteristic
7#29960C211yesmaximal, characteristic, complemented
8#29897C211yesmaximal, characteristic, complemented
9#29896C211yesmaximal, characteristic
10#29728C211yesmaximal, characteristic, complemented
11#27537C211yesmaximal, characteristic, complemented
12#27535C211yesmaximal, characteristic, complemented
13#27524C211yesmaximal, characteristic, complemented
14#27522C211yesmaximal, characteristic, complemented
15#27241C211yesmaximal, characteristic, complemented
16#27239C211yesmaximal, characteristic, complemented
17#27228C211yesmaximal, characteristic, complemented
18#27226C211yesmaximal, characteristic, complemented
19#25177C211yesmaximal, characteristic, complemented
20#25169C211yesmaximal, characteristic, complemented
21#25157C211yesmaximal, characteristic, complemented
22#25149C211yesmaximal, characteristic, complemented
23#24922C211yesmaximal, characteristic, complemented
24#24914C211yesmaximal, characteristic, complemented
25#24902C211yesmaximal, characteristic, complemented
26#24894C211yesmaximal, characteristic, complemented
27#22058C211yesmaximal, characteristic, complemented
28#22054C211yesmaximal, characteristic, complemented
29#21910C211yesmaximal, characteristic, complemented
30#21463C211yesmaximal, characteristic, complemented
31#21462C211yesmaximal, characteristic, complemented
32C24×Q8C2211yescharacteristic
33C2×#519C2211yescharacteristic
34C2×#519C2211yescharacteristic
35C2×#477C2211yescharacteristic, complemented
36C2×#475C2211yescharacteristic, complemented
37C2×#464C2211yescharacteristic, complemented
38C2×#464C2211yescharacteristic, complemented
39C2×#451C2211yescharacteristic
40C2×#451C2211yescharacteristic
41C2×#451C2211yescharacteristic
42C2×#451C2211yescharacteristic
43C2×#451C2211yescharacteristic
44C2×#451C2211yescharacteristic
45C2×#448C2211yescharacteristic
46C2×#448C2211yescharacteristic
47C2×#448C2211yescharacteristic
48C2×#448C2211yescharacteristic
49C2×#448C2211yescharacteristic
50C2×#448C2211yescharacteristic
51C2×#441C2211yescharacteristic, complemented
52C2×#440C2211yescharacteristic, complemented
53C2×C4×Q16C2211yescharacteristic, complemented
54C2×C4×SD16C2211yescharacteristic, complemented
55#2848C2211yescharacteristic
56#2847C2211yescharacteristic
57#2784—21no—
58#2779—21no—
59#2751—21no—
60#2750—21no—
61#2743—21no—
62#2715—21no—
63#2685—21no—
64#2684—21no—
65#2628C2211yescharacteristic
66#2620C2211yescharacteristic
67#2497C2211yescharacteristic
68#2496C2211yescharacteristic
69#2492C2211yescharacteristic
70#2491C2211yescharacteristic
71#2427C2211yescharacteristic
72#2426C2211yescharacteristic
73#2421C2211yescharacteristic
74#2420C2211yescharacteristic
75Q8×C22⋊C4—21no—
76Q8×C22⋊C4—21no—
77Q8×C22⋊C4—21no—
78Q8×C22⋊C4—21no—
79Q8×C22⋊C4C2211yescharacteristic
80Q8×C22⋊C4C2211yescharacteristic
81Q8×C22⋊C4C2211yescharacteristic
82Q8×C22⋊C4C2211yescharacteristic
83Q8×C22⋊C4C2211yescharacteristic
84Q8×C22⋊C4C2211yescharacteristic
85Q8×C22⋊C4C2211yescharacteristic
86Q8×C22⋊C4C2211yescharacteristic
87#2324C2211yescharacteristic
88#2323C2211yescharacteristic
89#2310—21no—
90#2310—21no—
91#2310C2211yescharacteristic
92#2310C2211yescharacteristic
93#2280—21no—
94#2280—21no—
95#2280C2211yescharacteristic
96#2280C2211yescharacteristic
97#2097C2211yescharacteristic, complemented
98#2097C2211yescharacteristic, complemented
99#2077C2211yescharacteristic
100#2077C2211yescharacteristic
101#2077C2211yescharacteristic
102#2077C2211yescharacteristic
103#2076C2211yescharacteristic
104#2076C2211yescharacteristic
105#2075C2211yescharacteristic
106#2075C2211yescharacteristic
107#2072C2211yescharacteristic, complemented
108#2072C2211yescharacteristic, complemented
109#2068C2211yescharacteristic, complemented
110#2068C2211yescharacteristic, complemented
111#2066C2211yescharacteristic, complemented
112#2066C2211yescharacteristic, complemented
113#2056C2211yescharacteristic, complemented
114#2056C2211yescharacteristic, complemented
115#2055C2211yescharacteristic, complemented
116#2055C2211yescharacteristic, complemented
117#2036C2211yescharacteristic
118#2036C2211yescharacteristic
119#2035C2211yescharacteristic
120#2035C2211yescharacteristic
121#2034C2211yescharacteristic
122#2034C2211yescharacteristic
123#2033C2211yescharacteristic
124#2033C2211yescharacteristic
125#2024C2211yescharacteristic, complemented
126#2024C2211yescharacteristic, complemented
127#2015C2211yescharacteristic, complemented
128#2015C2211yescharacteristic, complemented
129#1973C2211yescharacteristic, complemented
130#1971C2211yescharacteristic, complemented
131#1969C2211yescharacteristic, complemented
132#1968C2211yescharacteristic, complemented
133#1935C2211yescharacteristic, complemented
134#1935C2211yescharacteristic, complemented
135#1933C2211yescharacteristic, complemented
136#1933C2211yescharacteristic, complemented
137#1928C2211yescharacteristic, complemented
138#1928C2211yescharacteristic, complemented
139#1927C2211yescharacteristic, complemented
140#1927C2211yescharacteristic, complemented
141#1924C2211yescharacteristic
142#1924C2211yescharacteristic
143#1924C2211yescharacteristic
144#1924C2211yescharacteristic
145#1923C2211yescharacteristic
146#1923C2211yescharacteristic
147#1923C2211yescharacteristic
148#1923C2211yescharacteristic
149#1880C2211yescharacteristic, complemented
150#1880C2211yescharacteristic, complemented
151#1880C2211yescharacteristic, complemented
152#1880C2211yescharacteristic, complemented
153#1878C2211yescharacteristic, complemented
154#1878C2211yescharacteristic, complemented
155#1878C2211yescharacteristic, complemented
156#1878C2211yescharacteristic, complemented
157#1878C2211yescharacteristic, complemented
158#1878C2211yescharacteristic, complemented
159#1877C2211yescharacteristic, complemented
160#1877C2211yescharacteristic, complemented
161#1875C2211yescharacteristic
162#1875C2211yescharacteristic
163#1873C2211yescharacteristic
164#1873C2211yescharacteristic
165#1865C2211yescharacteristic, complemented
166#1865C2211yescharacteristic, complemented
167#1865C2211yescharacteristic, complemented
168#1865C2211yescharacteristic, complemented
169#1863C2211yescharacteristic, complemented
170#1863C2211yescharacteristic, complemented
171#1863C2211yescharacteristic, complemented
172#1863C2211yescharacteristic, complemented
173#1854C2211yescharacteristic
174#1854C2211yescharacteristic
175#1854C2211yescharacteristic
176#1854C2211yescharacteristic
177#1805C2211yescharacteristic, complemented
178#1805C2211yescharacteristic, complemented
179#1803C2211yescharacteristic, complemented
180#1803C2211yescharacteristic, complemented
181#1798C2211yescharacteristic
182#1798C2211yescharacteristic
183#1787C2211yescharacteristic
184#1787C2211yescharacteristic
185#1787C2211yescharacteristic
186#1787C2211yescharacteristic
187#1787C2211yescharacteristic
188#1787C2211yescharacteristic
189#1787C2211yescharacteristic
190#1787C2211yescharacteristic
191#1787C2211yescharacteristic
192#1787C2211yescharacteristic
193#1787C2211yescharacteristic
194#1787C2211yescharacteristic
195#1779C2211yescharacteristic
196#1779C2211yescharacteristic
197#1763C2211yescharacteristic, complemented
198#1763C2211yescharacteristic, complemented
199C4×#103C2211yescharacteristic, complemented
200C4×#103C2211yescharacteristic, complemented
201#1750C2211yescharacteristic
202#1750C2211yescharacteristic
203C23×Q8—24no—
204C23×Q8—24no—
205C23×Q8—21no—
206C23×Q8—21no—
207C23×Q8—21no—
208C23×Q8—42no—
209C23×Q8—42no—
210C23×Q8—42no—
211C23×Q8—42no—
212C23×Q8C2311yescharacteristic
213C23×Q8C2311yescharacteristic
214C23×Q8C2311yescharacteristic
215C23×Q8C2311yescharacteristic
216C23×Q8C2311yescharacteristic
217C23×Q8C2311yescharacteristic
218C24×C4—21no—
219C24×C4C2311yescharacteristic
220C22×Q16C2311yescharacteristic
221C22×Q16C2311yescharacteristic
222C22×Q16C2311yescharacteristic
223C22×Q16C2311yescharacteristic
224C22×SD16C2311yescharacteristic
225C22×SD16C2311yescharacteristic
226C22×SD16C2311yescharacteristic
227C22×SD16C2311yescharacteristic
228C2×C4⋊Q8C2311yescharacteristic
229C2×#126—21no—
230C2×#124—21no—
231C2×#124C2311yescharacteristic
232C2×C22⋊Q8C2311yescharacteristic
233C2×C22⋊Q8C2311yescharacteristic
234C2×C22⋊Q8C2311yescharacteristic
235C2×#121C2311yescharacteristic
236C2×#121C2311yescharacteristic
237C2×#121C2311yescharacteristic
238C2×#120—21no—
239#519—42no—
240#519—42no—
241#519—42no—
242#519—42no—
243C2×C4×Q8—21no—
244C2×C4×Q8—21no—
245C2×C4×Q8—21no—
246C2×C4×Q8—21no—
247C2×C4×Q8C2311yescharacteristic
248C2×C4×Q8C2311yescharacteristic
249C2×C4×Q8C2311yescharacteristic
250C2×C4×Q8C2311yescharacteristic
251C2×C4×Q8C2311yescharacteristic
252C2×C4×Q8C2311yescharacteristic
253C2×C4×Q8C2311yescharacteristic
254C2×C4×Q8C2311yescharacteristic
255C2×C4×Q8C2311yescharacteristic
256C2×C4×D4C2311yescharacteristic
257C2×#117—21no—
258C2×#117—21no—
259C2×#117—21no—
260C2×#117—21no—
261C2×#117C2311yescharacteristic
262C2×#117C2311yescharacteristic
263C2×#117C2311yescharacteristic
264C2×#117C2311yescharacteristic
265#477—42no—
266#475—42no—
267#464—42no—
268#464—42no—
269#451—24no—
270#451—24no—
271#451—42no—
272#451—42no—
273#451—42no—
274#451—42no—
275#448—24no—
276#448—24no—
277#448—42no—
278#448—42no—
279#448—42no—
280#448—42no—
281#441—42no—
282#440—42no—
283C4×Q16—42no—
284C4×SD16—42no—
285C2×#107C2311yescharacteristic
286C2×#107C2311yescharacteristic
287C2×#107C2311yescharacteristic
288C2×#107C2311yescharacteristic
289C2×#106C2311yescharacteristic
290C2×#106C2311yescharacteristic
291C2×#106C2311yescharacteristic
292C2×#106C2311yescharacteristic
293C2×C4⋊C8C2311yescharacteristic
294C2×C4⋊C8C2311yescharacteristic
295C2×C4⋊C8C2311yescharacteristic
296C2×C4⋊C8C2311yescharacteristic
297C2×#103C2311yescharacteristic
298C2×#103C2311yescharacteristic
299C2×#103C2311yescharacteristic
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×#103C2311yescharacteristic
318C2×#103C2311yescharacteristic
319C2×#103C2311yescharacteristic
320C2×#103C2311yescharacteristic
321C2×#103C2311yescharacteristic
322C2×#103C2311yescharacteristic
323C2×#103C2311yescharacteristic
324C2×#103C2311yescharacteristic
325C2×#102C2311yescharacteristic
326C2×#102C2311yescharacteristic
327C2×#102C2311yescharacteristic
328C2×#102C2311yescharacteristic
329C2×C22⋊C8C2311yescharacteristic
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×C4×C8C2311yescharacteristic
344C2×C4×C8C2311yescharacteristic
345#400—21no—
346#400—21no—
347#400—21no—
348#400—21no—
349#400—21no—
350#399—21no—
351#397—21no—
352#397—21no—
353#397—21no—
354#397—21no—
355#396—21no—
356#396—21no—
357#396—21no—
358#396—21no—
359#395—21no—
360#394—21no—
361#394—21no—
362#394—21no—
363#394—21no—
364#394—21no—
365#394—21no—
366#393—21no—
367#393—21no—
368#393—21no—
369#391—21no—
370#391—21no—
371#391—21no—
372#391—21no—
373#391—21no—
374#391—21no—
375#391—21no—
376#391—21no—
377#391—21no—
378#391—21no—
379#391—21no—
380#391—21no—
381#391—21no—
382#391—21no—
383#391—21no—
384#391—21no—
385#391—21no—
386#391—21no—
387#391—21no—
388#391—21no—
389#391—21no—
390#391C2311yescharacteristic
391#391C2311yescharacteristic
392#391C2311yescharacteristic
393#391C2311yescharacteristic
394#391C2311yescharacteristic
395#391C2311yescharacteristic
396#391C2311yescharacteristic
397#391C2311yescharacteristic
398#391C2311yescharacteristic
399#391C2311yescharacteristic
400#390—21no—
401#390—21no—
402#390C2311yescharacteristic
403#390C2311yescharacteristic
404#389—21no—
405#389C2311yescharacteristic
406#389C2311yescharacteristic
407#389C2311yescharacteristic
408#389C2311yescharacteristic
409#388—21no—
410#388—21no—
411#388—21no—
412#388—21no—
413#388—21no—
414#388—21no—
415#388—21no—
416#388—21no—
417#387—21no—
418#387—21no—
419#387—21no—
420#387—21no—
421#386—21no—
422#386—21no—
423#386—21no—
424#386—21no—
425#386—21no—
426#386—21no—
427#385—21no—
428#385—21no—
429#385—21no—
430#385—21no—
431#384C2311yescharacteristic
432#382C2311yescharacteristic
433#381—21no—
434#381—21no—
435#381—21no—
436#381—21no—
437#381—21no—
438#381—21no—
439#381D411yescharacteristic
440#381D411yescharacteristic
441#380—21no—
442#380—21no—
443#380—21no—
444#380—21no—
445#380—21no—
446#380—21no—
447#380—21no—
448#380—21no—
449#380—21no—
450#380D411yescharacteristic
451#380D411yescharacteristic
452#380D411yescharacteristic
453#380D411yescharacteristic
454#380C2311yescharacteristic
455#380C2311yescharacteristic
456#380C2311yescharacteristic
457#380C2311yescharacteristic
458#380C2311yescharacteristic
459#380C2311yescharacteristic
460#380C2311yescharacteristic
461#380C2311yescharacteristic
462#380C2311yescharacteristic
463#380C2311yescharacteristic
464#379—21no—
465#379—21no—
466#379D411yescharacteristic
467#379D411yescharacteristic
468C4×C4⋊C4C2311yescharacteristic
469C4×C4⋊C4C2311yescharacteristic
470C4×C22⋊C4—21no—
471C4×C22⋊C4—21no—
472C4×C22⋊C4—21no—
473C4×C22⋊C4—21no—
474C4×C22⋊C4—21no—
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
482C4×C22⋊C4C2311yescharacteristic
483C4×C22⋊C4C2311yescharacteristic
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#340C2311yescharacteristic
500#336C2311yescharacteristic
501#336C2311yescharacteristic
502#336C2311yescharacteristic
503#336C2311yescharacteristic
504#336C2311yescharacteristic
505#336C2311yescharacteristic
506#336C2311yescharacteristic
507#336C2311yescharacteristic
508C25C2×D411yescharacteristic
509C22×Q8—22no—
510C22×Q8—22no—
511C22×Q8—22no—
512C22×Q8—22no—
513C22×Q8—28no—
514C22×Q8—28no—
515C22×Q8—28no—
516C22×Q8—22no—
517C22×Q8—22no—
518C22×Q8—22no—
519C22×Q8—22no—
520C22×Q8—22no—
521C22×Q8—22no—
522C22×Q8—22no—
523C22×Q8—22no—
524C22×Q8—21no—
525C22×Q8—21no—
526C22×Q8—21no—
527C22×Q8—21no—
528C22×Q8—21no—
529C22×Q8—21no—
530C22×Q8—21no—
531C22×Q8—22no—
532C22×Q8—22no—
533C22×Q8—22no—
534C22×Q8—22no—
535C22×Q8—22no—
536C22×Q8—22no—
537C22×Q8—22no—
538C22×Q8—22no—
539C22×Q8—22no—
540C22×Q8—22no—
541C22×Q8—41no—
542C22×Q8—41no—
543C22×Q8—41no—
544C22×Q8—41no—
545C22×Q8—41no—
546C22×Q8—41no—
547C22×Q8—41no—
548C22×Q8—41no—
549C22×Q8—41no—
550C22×Q8—41no—
551C22×Q8—41no—
552C22×Q8—41no—
553C22×Q8—44no—
554C22×Q8—44no—
555C22×Q8—44no—
556C22×Q8—44no—
557C22×Q8—44no—
558C22×Q8—44no—
559C22×Q8—416no—
560C22×Q8—416no—
561C22×Q8—416no—
562C22×Q8—416no—
563C22×Q8#4114yes—
564C22×Q8#4114yes—
565C22×Q8C2411yescharacteristic
566C22×Q8C2411yescharacteristic
567C22×Q8C2411yescharacteristic
568C22×Q8C2411yescharacteristic
569C22×Q8C2411yescharacteristic
570C22×D4—21no—
571C22×D4—21no—
572C22×D4—21no—
573C22×D4C2411yescharacteristic
574C23×C4—21no—
575C23×C4—28no—
576C23×C4—21no—
577C23×C4—21no—
578C23×C4—21no—
579C23×C4—21no—
580C23×C4—21no—
581C23×C4—22no—
582C23×C4—22no—
583C23×C4—21no—
584C23×C4—41no—
585C23×C4—41no—
586C23×C4—41no—
587C23×C4—41no—
588C23×C4—44no—
589C23×C4—44no—
590C23×C4C2×D411yescharacteristic
591C23×C4C2×D411yescharacteristic
592C23×C4C2×D411yescharacteristic
593C23×C4C2411yescharacteristic
594C23×C4C2411yescharacteristic
595C23×C4C2411yescharacteristic
596C2×Q16—22no—
597C2×Q16—22no—
598C2×Q16—22no—
599C2×Q16—22no—
600C2×Q16—22no—
601C2×Q16—22no—
602C2×Q16—22no—
603C2×Q16—22no—
604C2×Q16—41no—
605C2×Q16—41no—
606C2×Q16—41no—
607C2×Q16—41no—
608C2×SD16—22no—
609C2×SD16—22no—
610C2×SD16—22no—
611C2×SD16—22no—
612C2×SD16—22no—
613C2×SD16—22no—
614C2×SD16—22no—
615C2×SD16—22no—
616C2×SD16—41no—
617C2×SD16—41no—
618C2×SD16—41no—
619C2×SD16—41no—
620C22×C8C2411yescharacteristic
621C22×C8C2411yescharacteristic
622C22×C8C2411yescharacteristic
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C4⋊Q8—41no—
629C4⋊Q8—41no—
630#126—82no—
631#124—41no—
632#124—41no—
633#124—82no—
634C22⋊Q8—22no—
635C22⋊Q8—22no—
636C22⋊Q8—41no—
637C22⋊Q8—41no—
638C22⋊Q8—41no—
639C22⋊Q8—41no—
640#121—22no—
641#121—22no—
642#121—41no—
643#121—41no—
644#121—41no—
645#121—41no—
646#120—82no—
647C4×Q8—22no—
648C4×Q8—22no—
649C4×Q8—22no—
650C4×Q8—22no—
651C4×Q8—22no—
652C4×Q8—22no—
653C4×Q8—22no—
654C4×Q8—22no—
655C4×Q8—41no—
656C4×Q8—41no—
657C4×Q8—41no—
658C4×Q8—41no—
659C4×Q8—41no—
660C4×Q8—41no—
661C4×Q8—41no—
662C4×Q8—41no—
663C4×Q8—41no—
664C4×Q8—41no—
665C4×Q8—44no—
666C4×Q8—44no—
667C4×Q8—44no—
668C4×Q8—44no—
669C4×D4—41no—
670C4×D4—41no—
671#117—41no—
672#117—41no—
673#117—41no—
674#117—41no—
675#117—41no—
676#117—41no—
677#117—41no—
678#117—41no—
679#117—44no—
680#117—44no—
681#117—44no—
682#117—44no—
683C2×C4⋊C4—21no—
684C2×C4⋊C4—21no—
685C2×C4⋊C4—21no—
686C2×C4⋊C4—21no—
687C2×C4⋊C4—21no—
688C2×C4⋊C4—21no—
689C2×C4⋊C4—21no—
690C2×C4⋊C4—21no—
691C2×C4⋊C4—21no—
692C2×C4⋊C4—21no—
693C2×C4⋊C4—21no—
694C2×C4⋊C4—21no—
695C2×C4⋊C4—21no—
696C2×C4⋊C4—21no—
697C2×C4⋊C4—21no—
698C2×C4⋊C4—21no—
699C2×C4⋊C4—21no—
700C2×C4⋊C4—21no—
701C2×C4⋊C4—21no—
702C2×C4⋊C4C2×D411yescharacteristic
703C2×C4⋊C4C2×D411yescharacteristic
704C2×C4⋊C4C2×D411yescharacteristic
705C2×C4⋊C4C2×D411yescharacteristic
706C2×C4⋊C4C2411yescharacteristic
707C2×C4⋊C4C2411yescharacteristic
708C2×C4⋊C4C2411yescharacteristic
709C2×C4⋊C4C2411yescharacteristic
710C2×C4⋊C4C2411yescharacteristic
711C2×C4⋊C4C2411yescharacteristic
712C2×C4⋊C4C2411yescharacteristic
713C2×C4⋊C4C2411yescharacteristic
714C2×C4⋊C4C2411yescharacteristic
715C2×C4⋊C4C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
742C2×C22⋊C4C2×D411yescharacteristic
743C2×C22⋊C4C2×D411yescharacteristic
744C2×C22⋊C4C2×D411yescharacteristic
745C2×C22⋊C4C2×D411yescharacteristic
746C2×C22⋊C4C2×D411yescharacteristic
747C2×C22⋊C4C2×D411yescharacteristic
748C2×C22⋊C4C2×D411yescharacteristic
749C2×C22⋊C4C2×D411yescharacteristic
750C2×C22⋊C4C2×D411yescharacteristic
751C2×C22⋊C4C2×D411yescharacteristic
752C2×C22⋊C4C2×D411yescharacteristic
753C2×C42—21no—
754C2×C42—21no—
755C2×C42—21no—
756C2×C42—21no—
757C2×C42—21no—
758C2×C42—21no—
759C2×C42—21no—
760C2×C42—21no—
761C2×C42—21no—
762C2×C42—21no—
763C2×C42—21no—
764C2×C42—21no—
765C2×C42—21no—
766C2×C42C2411yescharacteristic
767C2×C42C2411yescharacteristic
768C2×C42C2411yescharacteristic
769C2×C42C2411yescharacteristic
770#107—41no—
771#107—41no—
772#107—41no—
773#107—41no—
774#106—41no—
775#106—41no—
776#106—41no—
777#106—41no—
778C4⋊C8—41no—
779C4⋊C8—41no—
780C4⋊C8—41no—
781C4⋊C8—41no—
782#103—22no—
783#103—22no—
784#103—22no—
785#103—22no—
786#103—22no—
787#103—22no—
788#103—22no—
789#103—22no—
790#103—22no—
791#103—22no—
792#103—22no—
793#103—22no—
794#103—22no—
795#103—22no—
796#103—22no—
797#103—22no—
798#103—41no—
799#103—41no—
800#103—41no—
801#103—41no—
802#103—41no—
803#103—41no—
804#103—41no—
805#103—41no—
806#103—41no—
807#103—41no—
808#103—41no—
809#103—41no—
810#102—41no—
811#102—41no—
812#102—41no—
813#102—41no—
814C22⋊C8—22no—
815C22⋊C8—22no—
816C22⋊C8—22no—
817C22⋊C8—22no—
818C22⋊C8—41no—
819C22⋊C8—41no—
820C22⋊C8—41no—
821C22⋊C8—41no—
822C22⋊C8—41no—
823C22⋊C8—41no—
824C22⋊C8—41no—
825C22⋊C8—41no—
826#97—41no—
827#97—41no—
828C4×C8—41no—
829C4×C8—41no—
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#95—21no—
857#95—21no—
858#95—21no—
859#95—21no—
860#95—21no—
861#95—21no—
862#95—21no—
863#95—21no—
864#95—21no—
865#95—21no—
866#95—21no—
867#95—21no—
868#95C2×D411yescharacteristic
869#95C2×D411yescharacteristic
870#95C2×D411yescharacteristic
871#95C2×D411yescharacteristic
872#95C2×D411yescharacteristic
873#95C2×D411yescharacteristic
874#95C2×D411yescharacteristic
875#95C2×D411yescharacteristic
876C24—22no—
877C24—22no—
878C24—22no—
879C24—21no—
880C24—41no—
881C24—41no—
882C24—41no—
883C24—41no—
884C24C22×D411yescharacteristic
885C24C22×D411yescharacteristic
886C24C22×D411yescharacteristic
887C2×Q8—24no—
888C2×Q8—24no—
889C2×Q8—28no—
890C2×Q8—28no—
891C2×Q8—28no—
892C2×Q8—28no—
893C2×Q8—24no—
894C2×Q8—24no—
895C2×Q8—24no—
896C2×Q8—24no—
897C2×Q8—24no—
898C2×Q8—24no—
899C2×Q8—21no—
900C2×Q8—21no—
901C2×Q8—21no—
902C2×Q8—21no—
903C2×Q8—21no—
904C2×Q8—21no—
905C2×Q8—21no—
906C2×Q8—21no—
907C2×Q8—21no—
908C2×Q8—21no—
909C2×Q8—21no—
910C2×Q8—21no—
911C2×Q8—21no—
912C2×Q8—21no—
913C2×Q8—21no—
914C2×Q8—21no—
915C2×Q8—21no—
916C2×Q8—21no—
917C2×Q8—21no—
918C2×Q8—21no—
919C2×Q8—21no—
920C2×Q8—21no—
921C2×Q8—42no—
922C2×Q8—42no—
923C2×Q8—42no—
924C2×Q8—42no—
925C2×Q8—42no—
926C2×Q8—42no—
927C2×Q8—42no—
928C2×Q8—42no—
929C2×Q8—44no—
930C2×Q8—44no—
931C2×Q8—432no—
932C2×Q8—42no—
933C2×Q8—42no—
934C2×Q8—44no—
935C2×Q8—44no—
936C2×Q8—44no—
937C2×Q8—44no—
938C2×Q8—44no—
939C2×Q8—44no—
940C2×Q8—44no—
941C2×Q8—44no—
942C2×Q8—44no—
943C2×Q8—44no—
944C2×Q8—432no—
945C2×Q8—432no—
946C2×Q8—44no—
947C2×Q8—44no—
948C2×Q8—44no—
949C2×Q8—44no—
950C2×Q8—44no—
951C2×Q8—44no—
952C2×Q8—44no—
953C2×Q8—44no—
954C2×Q8—81no—
955C2×Q8—81no—
956C2×Q8—81no—
957C2×Q8C2×#4112yes—
958C2×Q8C2×#4112yes—
959C2×Q8C2×#4112yes—
960C2×Q8C2×#4112yes—
961C2×Q8H(5,𝔽2)12yes—
962C2×Q8H(5,𝔽2)12yes—
963C2×Q8H(5,𝔽2)12yes—
964C2×Q8H(5,𝔽2)12yes—
965C2×D4—21no—
966C2×D4—21no—
967C2×D4—21no—
968C2×D4—21no—
969C2×D4—21no—
970C2×D4—21no—
971C2×D4—42no—
972C2×D4—42no—
973C2×D4—42no—
974C2×D4—81no—
975C2×D4—81no—
976C2×D4—81no—
977C2×D4—81no—
978C2×D4—81no—
979C2×D4—81no—
980C22×C4—24no—
981C22×C4—24no—
982C22×C4—24no—
983C22×C4—21no—
984C22×C4—21no—
985C22×C4—21no—
986C22×C4—21no—
987C22×C4—21no—
988C22×C4—21no—
989C22×C4—24no—
990C22×C4—24no—
991C22×C4—24no—
992C22×C4—24no—
993C22×C4—24no—
994C22×C4—22no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—22no—
998C22×C4—22no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—21no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—21no—
1017C22×C4—21no—
1018C22×C4—21no—
1019C22×C4—21no—
1020C22×C4—21no—
1021C22×C4—21no—
1022C22×C4—41no—
1023C22×C4—41no—
1024C22×C4—41no—
1025C22×C4—41no—
1026C22×C4—41no—
1027C22×C4—41no—
1028C22×C4—42no—
1029C22×C4—42no—
1030C22×C4—42no—
1031C22×C4—42no—
1032C22×C4—42no—
1033C22×C4—42no—
1034C22×C4—42no—
1035C22×C4—42no—
1036C22×C4—432no—
1037C22×C4—44no—
1038C22×C4—44no—
1039C22×C4—44no—
1040C22×C4—44no—
1041C22×C4—42no—
1042C22×C4—42no—
1043C22×C4—81no—
1044C22×C4—81no—
1045C22×C4—81no—
1046C22×C4C22×D411yescharacteristic
1047C22×C4C22×D411yescharacteristic
1048C22×C4C22×D411yescharacteristic
1049C22×C4C22×D411yescharacteristic
1050C22×C4C22×D411yescharacteristic
1051C22×C4C22×D411yescharacteristic
1052C22×C4C22×D411yescharacteristic
1053C22×C4C22×D411yescharacteristic
1054C22×C4C22×D411yescharacteristic
1055C22×C4C22×D411yescharacteristic
1056C22×C4C22×D411yescharacteristic
1057C22×C4C2×#4112yes—
1058C22×C4C2×#4112yes—
1059C22×C4C2511yescharacteristic
1060Q16—44no—
1061Q16—44no—
1062Q16—82no—
1063Q16—82no—
1064SD16—44no—
1065SD16—44no—
1066SD16—82no—
1067SD16—82no—
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—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—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—21no—
1109C4⋊C4—21no—
1110C4⋊C4—21no—
1111C4⋊C4—21no—
1112C4⋊C4—41no—
1113C4⋊C4—41no—
1114C4⋊C4—41no—
1115C4⋊C4—41no—
1116C4⋊C4—42no—
1117C4⋊C4—42no—
1118C4⋊C4—42no—
1119C4⋊C4—42no—
1120C4⋊C4—42no—
1121C4⋊C4—42no—
1122C4⋊C4—42no—
1123C4⋊C4—42no—
1124C4⋊C4—42no—
1125C4⋊C4—81no—
1126C4⋊C4—81no—
1127C4⋊C4—81no—
1128C4⋊C4—81no—
1129C4⋊C4—81no—
1130C4⋊C4—81no—
1131C4⋊C4—81no—
1132C4⋊C4—81no—
1133C4⋊C4—81no—
1134C4⋊C4—81no—
1135C22⋊C4—22no—
1136C22⋊C4—22no—
1137C22⋊C4—22no—
1138C22⋊C4—22no—
1139C22⋊C4—41no—
1140C22⋊C4—41no—
1141C22⋊C4—41no—
1142C22⋊C4—41no—
1143C22⋊C4—41no—
1144C22⋊C4—41no—
1145C22⋊C4—41no—
1146C22⋊C4—41no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—42no—
1151C22⋊C4—42no—
1152C22⋊C4—42no—
1153C22⋊C4—42no—
1154C22⋊C4—42no—
1155C22⋊C4—42no—
1156C22⋊C4—42no—
1157C22⋊C4—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—
1172C42—21no—
1173C42—21no—
1174C42—21no—
1175C42—21no—
1176C42—21no—
1177C42—21no—
1178C42—21no—
1179C42—21no—
1180C42—42no—
1181C42—42no—
1182C42—42no—
1183C42—42no—
1184C42—42no—
1185C42—42no—
1186C42—42no—
1187C42—42no—
1188C42—42no—
1189C42—42no—
1190C42—81no—
1191C42—81no—
1192C42—81no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—21no—
1198C23—21no—
1199C23—21no—
1200C23—21no—
1201C23—21no—
1202C23—21no—
1203C23—21no—
1204C23—21no—
1205C23—21no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—44no—
1212C23—44no—
1213C23—44no—
1214C23—44no—
1215C23—44no—
1216C23—44no—
1217C23—44no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23#52512yes—
1226C23#57712yes—
1227C23#57812yes—
1228C23C23×D411yescharacteristic
1229Q8—216no—
1230Q8—22no—
1231Q8—22no—
1232Q8—22no—
1233Q8—22no—
1234Q8—22no—
1235Q8—22no—
1236Q8—22no—
1237Q8—22no—
1238Q8—22no—
1239Q8—22no—
1240Q8—48no—
1241Q8—48no—
1242Q8—48no—
1243Q8—48no—
1244Q8—48no—
1245Q8—41no—
1246Q8—41no—
1247Q8—41no—
1248Q8—41no—
1249Q8—41no—
1250Q8—41no—
1251Q8—41no—
1252Q8—41no—
1253Q8—162no—
1254Q8#53814yes—
1255Q8#53814yes—
1256D4—41no—
1257D4—41no—
1258D4—41no—
1259D4—41no—
1260D4—162no—
1261D4—162no—
1262D4—162no—
1263C2×C4—216no—
1264C2×C4—22no—
1265C2×C4—22no—
1266C2×C4—22no—
1267C2×C4—22no—
1268C2×C4—22no—
1269C2×C4—22no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—22no—
1273C2×C4—22no—
1274C2×C4—22no—
1275C2×C4—22no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—22no—
1285C2×C4—22no—
1286C2×C4—21no—
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—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—48no—
1309C2×C4—48no—
1310C2×C4—48no—
1311C2×C4—48no—
1312C2×C4—44no—
1313C2×C4—44no—
1314C2×C4—44no—
1315C2×C4—48no—
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—41no—
1350C2×C4—41no—
1351C2×C4—41no—
1352C2×C4—41no—
1353C2×C4—41no—
1354C2×C4—41no—
1355C2×C4—41no—
1356C2×C4—41no—
1357C2×C4—41no—
1358C2×C4—41no—
1359C2×C4—41no—
1360C2×C4—41no—
1361C2×C4—162no—
1362C2×C4#52512yes—
1363C2×C4C22×#4111yescharacteristic
1364C2×C4C22×#4111yescharacteristic
1365C2×C4C2×H(5,𝔽2)11yescharacteristic
1366C2×C4C2×H(5,𝔽2)11yescharacteristic
1367C2×C4C2×H(5,𝔽2)11yescharacteristic
1368C2×C4C2×H(5,𝔽2)11yescharacteristic
1369C8—41no—
1370C8—41no—
1371C8—41no—
1372C8—41no—
1373C8—41no—
1374C8—41no—
1375C8—41no—
1376C8—41no—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—22no—
1384C22—22no—
1385C22—22no—
1386C22—416no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—81no—
1400C22—81no—
1401C22—81no—
1402C22—81no—
1403C22—81no—
1404C22—81no—
1405C22—81no—
1406C22C2×#52511yescharacteristic
1407C22#348411yescharacteristic
1408C22#348411yescharacteristic
1409C22C2×#57711yescharacteristic
1410C22C2×#57811yescharacteristic
1411C22#358611yescharacteristic
1412C22#358611yescharacteristic
1413C4—24no—
1414C4—24no—
1415C4—22no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—42no—
1421C4—42no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—81no—
1429C4—81no—
1430C4—81no—
1431C4—81no—
1432C4—81no—
1433C4—81no—
1434C4—81no—
1435C4—81no—
1436C4—81no—
1437C4—81no—
1438C4—81no—
1439C4C2×#53811yescharacteristic
1440C4C2×#53811yescharacteristic
1441C4#349011yescharacteristic
1442C4#349011yescharacteristic
1443C2—42no—
1444C2—42no—
1445C2—42no—
1446C2—161no—
1447C2#3498811yescharacteristic
1448C2#6058211yescharacteristic
1449C2#6058311yescharacteristic
1450C2#6161111yescharacteristic
1451C2#6161211yescharacteristic
1452C2#6163211yescharacteristic
1453C2#6164611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#2847C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2280 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34173C2semidirect
3. #32964C2semidirect
4. #32918C2semidirect
5. #32882C2semidirect
7. #29960C2semidirect
8. #29897C2semidirect
10. #29728C2semidirect
11. #27537C2semidirect
12. #27535C2semidirect
13. #27524C2semidirect
14. #27522C2semidirect
15. #27241C2semidirect
16. #27239C2semidirect
17. #27228C2semidirect
18. #27226C2semidirect
19. #25177C2semidirect
20. #25169C2semidirect
21. #25157C2semidirect
22. #25149C2semidirect
23. #24922C2semidirect
24. #24914C2semidirect
25. #24902C2semidirect
26. #24894C2semidirect
27. #22058C2semidirect
28. #22054C2semidirect
29. #21910C2semidirect
30. #21463C2semidirect
31. #21462C2semidirect
35. C2×#477C22semidirect
36. C2×#475C22semidirect
37. C2×#464C22semidirect
38. C2×#464C22semidirect
51. C2×#441C22semidirect
52. C2×#440C22semidirect
53. C2×C4×Q16C22semidirect
54. C2×C4×SD16C22semidirect
97. #2097C22semidirect
98. #2097C22semidirect
107. #2072C22semidirect
108. #2072C22semidirect
109. #2068C22semidirect
110. #2068C22semidirect
111. #2066C22semidirect
112. #2066C22semidirect
113. #2056C22semidirect
114. #2056C22semidirect
115. #2055C22semidirect
116. #2055C22semidirect
125. #2024C22semidirect
126. #2024C22semidirect
127. #2015C22semidirect
128. #2015C22semidirect
129. #1973C22semidirect
130. #1971C22semidirect
131. #1969C22semidirect
132. #1968C22semidirect
133. #1935C22semidirect
134. #1935C22semidirect
135. #1933C22semidirect
136. #1933C22semidirect
137. #1928C22semidirect
138. #1928C22semidirect
139. #1927C22semidirect
140. #1927C22semidirect
149. #1880C22semidirect
150. #1880C22semidirect
151. #1880C22semidirect
152. #1880C22semidirect
153. #1878C22semidirect
154. #1878C22semidirect
155. #1878C22semidirect
156. #1878C22semidirect
157. #1878C22semidirect
158. #1878C22semidirect
159. #1877C22semidirect
160. #1877C22semidirect
165. #1865C22semidirect
166. #1865C22semidirect
167. #1865C22semidirect
168. #1865C22semidirect
169. #1863C22semidirect
170. #1863C22semidirect
171. #1863C22semidirect
172. #1863C22semidirect
177. #1805C22semidirect
178. #1805C22semidirect
179. #1803C22semidirect
180. #1803C22semidirect
197. #1763C22semidirect
198. #1763C22semidirect
199. C4×#103C22semidirect
200. C4×#103C22semidirect

Maximal subgroups

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

subgroupindex
#372822
#341732
#329642
#329182
#328822
#328792
#299602
#298972
#298962
#297282
#275372
#275352
#275242
#275222
#272412
#272392
#272282
#272262
#251772
#251692
#251572
#251492
#249222
#249142
#249022
#248942
#220582
#220542
#219102
#214632
#214622