Finite Group Databasebeta

← #7683710

Subgroups — #7683710

Order 512.

10946 conjugacy classes of subgroups.

The subgroup lattice has 1488 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3500C211yesmaximal, characteristic, complemented
2C2×#3499C211yesmaximal, characteristic, complemented
3C2×#3487C211yesmaximal, characteristic, complemented
4C2×#3485C211yesmaximal, characteristic, complemented
5#59130C214yesmaximal, complemented
6#59129C214yesmaximal, complemented
7#59125C214yesmaximal, complemented
8#59066C214yesmaximal, complemented
9#58995C218yesmaximal, complemented
10#45332C214yesmaximal, complemented
11#45241C214yesmaximal, complemented
12#45134C214yesmaximal, complemented
13#44892C214yesmaximal, complemented
14#43904C218yesmaximal, complemented
15#35667C211yesmaximal, characteristic, complemented
16#35660C211yesmaximal, characteristic, complemented
17#35659C211yesmaximal, characteristic, complemented
18#35634C211yesmaximal, characteristic, complemented
19#35617C211yesmaximal, characteristic, complemented
20#35513C211yesmaximal, characteristic, complemented
21#34743C211yesmaximal, characteristic, complemented
22#34743C211yesmaximal, characteristic, complemented
23C2×#2432C211yesmaximal, characteristic, complemented
24#34269C211yesmaximal, characteristic, complemented
25#34268C211yesmaximal, characteristic, complemented
26C22×2−1+4C2211yescharacteristic
27C22×2−1+4C2211yescharacteristic, complemented
28C22×H(5,𝔽2)C2211yescharacteristic
29C23×#41C2211yescharacteristic
30#3500—216no—
31#3499—216no—
32#3487—216no—
33#3485—216no—
34C2×#550C2214yescomplemented
35C2×#550C2214yescomplemented
36C2×D4×Q8C2214yescomplemented
37C2×#548C2214yescomplemented
38C2×#548C2214yescomplemented
39C2×#548C2214yescomplemented
40C2×#547C2214yes—
41C2×#547C2214yes—
42C2×#547C2214yescomplemented
43C2×#547C2218yescomplemented
44C2×#546C2214yes—
45C2×#546C2214yes—
46C2×#546C2218yes—
47C2×#546C2214yescomplemented
48C2×#537C2211yescharacteristic
49C2×#536C2211yescharacteristic
50C2×#536C2211yescharacteristic
51C2×#536C2211yescharacteristic
52C2×#536C2212yescomplemented
53C2×#536C2211yescharacteristic, complemented
54C2×#536C2212yescomplemented
55C2×#536C2212yescomplemented
56C2×#535C2211yescharacteristic
57C2×#535C2211yescharacteristic
58C2×#535C2214yescomplemented
59C2×#535C2212yescomplemented
60C2×#534C2214yes—
61C2×#532C2211yescharacteristic
62C2×#532C2211yescharacteristic
63C2×#532C2212yescomplemented
64C2×#532C2212yescomplemented
65C22×C4⋊Q8C2211yescharacteristic, complemented
66C22×C4⋊Q8C2212yescomplemented
67C22×#124C2211yescharacteristic
68C22×#124C2212yescomplemented
69C2×#525C2211yescharacteristic
70C2×#525C2211yescharacteristic
71C2×#525C2211yescharacteristic, complemented
72C2×#525C2211yescharacteristic, complemented
73C2×#525C2214yescomplemented
74C22×#123C2214yes—
75C22×C22⋊Q8C2211yescharacteristic, complemented
76C2×#519C2211yescharacteristic, complemented
77C2×#518C2211yescharacteristic
78C2×C4×#41C2211yescharacteristic
79C2×C4×#41C2211yescharacteristic, complemented
80#2682C2218yescomplemented
81#2681C2218yescomplemented
82#2680C2218yescomplemented
83#2678C2218yescomplemented
84#2676C2218yescomplemented
85#2674C2218yescomplemented
86#2674C2218yescomplemented
87#2673C2218yescomplemented
88#2672C2218yescomplemented
89#2671C2218yescomplemented
90#2671C2218yescomplemented
91#2669C2218yescomplemented
92#2547C2214yescomplemented
93#2546C2214yescomplemented
94#2545C2214yescomplemented
95#2544C2214yescomplemented
96#2542C2214yescomplemented
97#2542C2214yescomplemented
98#2540C2214yescomplemented
99#2540C2214yescomplemented
100#2539C2214yescomplemented
101#2501C2214yescomplemented
102#2491C2218yescomplemented
103#2472C2218yescomplemented
104#2464C2218yescomplemented
105#2461C2218yescomplemented
106#2455C2218yescomplemented
107#2449C2218yescomplemented
108#2445C2218yescomplemented
109#2443C2218yescomplemented
110#2443C2218yescomplemented
111#2443C2218yescomplemented
112#2440C2218yescomplemented
113#2437C2218yescomplemented
114#2436C2212yescomplemented
115#2435C2212yescomplemented
116#2434C2212yescomplemented
117#2433C2212yescomplemented
118#2432C2214yescomplemented
119#2432C2212yescomplemented
120#2432C2214yescomplemented
121#2432C2214yescomplemented
122#2432C2214yescomplemented
123#2432C2212yescomplemented
124#2431C2212yescomplemented
125#2431C2212yescomplemented
126#2430C2218yescomplemented
127#2429C2212yescomplemented
128#2429C2214yescomplemented
129#2429C2214yescomplemented
130#2429C2212yescomplemented
131#2428C2212yescomplemented
132#2428C2218yescomplemented
133#2428C2212yescomplemented
134#2427C2214yescomplemented
135#2427C2214yescomplemented
136#2427C2212yescomplemented
137#2427C2212yescomplemented
138#2426C2212yescomplemented
139#2426C2212yescomplemented
140#2425C2214yescomplemented
141#2425C2214yescomplemented
142#2424C2218yescomplemented
143#2424C2214yescomplemented
144#2424C2214yescomplemented
145#2424C2218yescomplemented
146#2422C2218yescomplemented
147#2418C2218yescomplemented
148#2416C2218yescomplemented
149#2413C2218yescomplemented
150#2412C2218yescomplemented
151#2410C2218yes—
152#2409C2214yescomplemented
153#2409C2214yescomplemented
154#2409C2214yescomplemented
155#2408C2214yescomplemented
156#2407C2214yescomplemented
157#2407C2214yescomplemented
158#2407C2214yescomplemented
159#2407C2214yescomplemented
160#2406C2214yescomplemented
161#2404C2214yescomplemented
162#2392C2214yescomplemented
163#2392C2214yescomplemented
164C2×#394C2214yescomplemented
165#2367C2214yescomplemented
166#2367C2214yescomplemented
167#2366C2214yescomplemented
168#2365C2214yescomplemented
169#2359C2218yescomplemented
170#2358C2218yescomplemented
171#2358C2218yescomplemented
172D4×C4⋊C4C2218yescomplemented
173#2324C2214yescomplemented
174#2323C2214yescomplemented
175#2311C2211yescharacteristic
176#2311C2211yescharacteristic, complemented
177#2310C2211yescharacteristic, complemented
178C4×C22⋊Q8C2214yescomplemented
179C4×#121C2214yescomplemented
180C4×#121C2214yescomplemented
181C4×#121C2214yescomplemented
182#2297C2211yescharacteristic
183#2297C2211yescharacteristic, complemented
184#2296C2211yescharacteristic, complemented
185#2296C2211yescharacteristic, complemented
186C2×#391C2211yescharacteristic, complemented
187C2×#390C2211yescharacteristic
188C2×#385C2214yescomplemented
189#2274C2211yescharacteristic, complemented
190C2×C4×C22⋊C4C2211yescharacteristic, complemented
191C2×2−1+4—28no—
192C2×2−1+4—28no—
193C2×2−1+4—28no—
194C2×2−1+4—28no—
195C2×2−1+4—44no—
196C2×2−1+4—44no—
197C2×H(5,𝔽2)—28no—
198C2×H(5,𝔽2)—28no—
199C2×H(5,𝔽2)—44no—
200C22×#41—28no—
201C22×#41—28no—
202C22×#41—44no—
203C22×#41C2311yescharacteristic
204C22×#41C2311yescharacteristic
205C22×#41C2314yes—
206C22×#41C2314yes—
207C22×#41C2312yes—
208C22×#41C2312yes—
209C22×#41C2314yes—
210C22×#41C2312yes—
211C22×#41C2312yes—
212C22×#41C2312yes—
213C22×#41C2314yes—
214C22×#41C2312yes—
215C22×#41C2311yescharacteristic
216C22×#41C2311yescharacteristic
217C23×Q8C2311yescharacteristic
218C23×Q8C2312yes—
219C23×Q8C2312yes—
220C23×Q8C2312yes—
221C23×Q8C2312yes—
222C23×Q8C2311yescharacteristic
223C23×D4C2312yes—
224C23×D4C2312yes—
225C23×D4C2314yes—
226C23×D4C2312yes—
227C23×D4C2311yescharacteristic
228C24×C4C2311yescharacteristic
229C24×C4C2312yes—
230#550—232no—
231#550—232no—
232D4×Q8—232no—
233#548—232no—
234#548—232no—
235#548—232no—
236#547—232no—
237#547—264no—
238#547—232no—
239#547—232no—
240#546—232no—
241#546—232no—
242#546—232no—
243#546—264no—
244#537—44no—
245#536—28no—
246#536—216no—
247#536—216no—
248#536—216no—
249#536—28no—
250#536—28no—
251#536D4116yescomplemented
252#535—28no—
253#535—216no—
254#535—232no—
255#535D4116yescomplemented
256#534—232no—
257#532—28no—
258#532—28no—
259#532—216no—
260#532—216no—
261C2×C4⋊Q8—28no—
262C2×C4⋊Q8—216no—
263C2×C4⋊Q8C2311yescharacteristic
264C2×C4⋊Q8C2312yes—
265C2×C4⋊Q8C2318yes—
266C2×C4⋊Q8C2312yes—
267C2×C4⋊Q8C2312yes—
268C2×C4⋊Q8C2314yes—
269C2×C4⋊Q8C2311yescharacteristic
270C2×C4⋊Q8C2312yes—
271C2×C4⋊Q8C2312yes—
272C2×C4⋊Q8C2312yes—
273C2×#127C2318yes—
274C2×#127C2311yescharacteristic
275C2×#127C2311yescharacteristic
276C2×#127C2312yes—
277C2×#127C2312yes—
278C2×#124—28no—
279C2×#124—216no—
280C2×#124C2312yes—
281C2×#124C2312yes—
282C2×#124C2314yes—
283C2×#124C2311yescharacteristic
284C2×#124C2318yes—
285C2×#124C2312yes—
286C2×#124C2318yes—
287C2×#124C2311yescharacteristic
288C2×#124C2311yescharacteristic
289C2×#124C2311yescharacteristic
290C2×#124C2312yes—
291C2×#124C2312yes—
292C2×#124C2312yes—
293C2×#124C2312yes—
294C2×#124C2312yes—
295#525—28no—
296#525—28no—
297#525—232no—
298#525—28no—
299#525—28no—
300C2×#123—232no—
301C2×#123C2312yes—
302C2×#123C2312yes—
303C2×#123C2312yes—
304C2×#123C2314yes—
305C2×#123C2318yes—
306C2×#123C2318yes—
307C2×#123C2312yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×#123C2318yes—
311C2×#123C2318yes—
312C2×#123C2318yes—
313C2×#123C2318yes—
314C2×#123C2314yes—
315C2×C22⋊Q8—44no—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2318yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2318yes—
323C2×C22⋊Q8C2318yes—
324C2×C22⋊Q8C2318yes—
325C2×C22⋊Q8C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2314yes—
335C2×#121C2314yes—
336C2×#121C2312yes—
337C2×#121C2318yes—
338C2×#121C2312yes—
339C2×#121C2318yes—
340C2×#121C2318yes—
341C2×#121C2318yes—
342C2×#121C2318yes—
343C2×#121C2318yes—
344C2×#121C2318yes—
345C2×#121C2314yes—
346C2×#121C2318yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2314yes—
352C2×#121C2314yes—
353C2×#120C2312yes—
354C2×#120C2312yes—
355C2×#120C2314yes—
356C2×#120C2312yes—
357C2×#120C2312yes—
358C2×#120C2318yes—
359C2×#120C2318yes—
360C2×#120C2318yes—
361C2×#120C2314yes—
362#519—28no—
363#518—28no—
364C4×#41—28no—
365C4×#41—28no—
366C2×C4×Q8C2314yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2314yes—
369C2×C4×Q8C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2318yes—
372C2×C4×D4C2318yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2318yes—
375C2×C4×D4C2318yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2314yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2318yes—
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2314yes—
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2318yes—
396C22×C4⋊C4C2318yes—
397C22×C4⋊C4C2314yes—
398C22×C4⋊C4C2312yes—
399C22×C22⋊C4C2314yes—
400C22×C22⋊C4C2318yes—
401C22×C22⋊C4C2318yes—
402C22×C22⋊C4C2314yes—
403C22×C22⋊C4C2314yes—
404C22×C22⋊C4C2312yes—
405C22×C22⋊C4C2312yes—
406C22×C42C2311yescharacteristic
407C22×C42C2312yes—
408C22×C42C2311yescharacteristic
409C22×C42C2312yes—
410#399C2318yes—
411#399C2318yes—
412#399C2318yes—
413#398C2314yes—
414#398C2314yes—
415#398C2318yes—
416#398C2318yes—
417#397C2314yes—
418#397C2314yes—
419#397C2318yes—
420#397C2318yes—
421#396C2314yes—
422#396C2314yes—
423#396C2314yes—
424#396C2314yes—
425#396C2318yes—
426#396C2318yes—
427#395C2318yes—
428#395C2318yes—
429#394C2318yes—
430#394C2318yes—
431#394C2318yes—
432#394C2318yes—
433#394C2314yes—
434#394C2314yes—
435#394C2314yes—
436#394C2314yes—
437#394C2314yes—
438#394C2314yes—
439#394C2318yes—
440#394C2318yes—
441#394C2318yes—
442#394C2318yes—
443#394C2318yes—
444#394C2318yes—
445#393C2318yes—
446#393C2318yes—
447#392C2314yes—
448#392C2314yes—
449#392C2318yes—
450#392C2318yes—
451#392C2318yes—
452#392C2318yes—
453#392C2318yes—
454#391C2314yes—
455#391C2314yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2314yes—
460#391C2312yes—
461#391C2312yes—
462#391C2312yes—
463#390C2312yes—
464#390C2312yes—
465#390C2312yes—
466#390C2318yes—
467#390C2318yes—
468#390C2314yes—
469#390C2312yes—
470#390C2312yes—
471#390C2318yes—
472#390C2314yes—
473#390C2314yes—
474#390C2318yes—
475#390C2312yes—
476#389C2312yes—
477#389C2318yes—
478#389C2312yes—
479#389C2314yes—
480#389C2318yes—
481#389C2318yes—
482#389C2314yes—
483#389C2312yes—
484#389C2312yes—
485#388C2318yes—
486#388C2318yes—
487#388C2318yes—
488#388C2314yes—
489#388C2318yes—
490#388C2318yes—
491#388C2318yes—
492#388C2314yes—
493#388C2314yes—
494#388C2314yes—
495#387C2318yes—
496#387C2318yes—
497#386C2314yes—
498#386C2314yes—
499#386C2318yes—
500#386C2314yes—
501#386C2318yes—
502#386C2318yes—
503#386C2318yes—
504#386C2318yes—
505#386C2318yes—
506#386C2318yes—
507#386C2318yes—
508#386C2314yes—
509#386C2314yes—
510#386C2318yes—
511#386C2314yes—
512#386C2314yes—
513#386C2314yes—
514#385C2318yes—
515#385C2318yes—
516#385C2318yes—
517#385C2318yes—
518#385C2318yes—
519#385C2314yes—
520#385C2318yes—
521#385C2314yes—
522#385C2318yes—
523#385C2318yes—
524#385C2318yes—
525#385C2318yes—
526#385C2318yes—
527#384C2318yes—
528#381C2314yes—
529#380C2314yes—
530#380C2314yes—
531#380C2314yes—
532#380C2318yes—
533#380C2318yes—
534#380C2314yes—
535#379C2318yes—
536C4×C4⋊C4C2314yes—
537C4×C4⋊C4C2314yes—
538C4×C4⋊C4C2318yes—
539C4×C4⋊C4C2314yes—
540C4×C4⋊C4C2314yes—
541C4×C22⋊C4C2314yes—
542C4×C22⋊C4C2318yes—
543C4×C22⋊C4C2318yes—
544C4×C22⋊C4C2312yes—
545C4×C22⋊C4C2312yes—
546C4×C22⋊C4C2312yes—
547C4×C22⋊C4C2312yes—
548C4×C22⋊C4C2312yes—
549C4×C22⋊C4C2312yes—
550C4×C22⋊C4C2312yes—
551C4×C22⋊C4C2312yes—
552C2×#95C2314yes—
553C2×#95C2312yes—
554C25C2411yescharacteristic
555C25C2414yes—
556C25C2412yes—
5572−1+4—464no—
5582−1+4—464no—
559H(5,𝔽2)—464no—
560C2×#41—28no—
561C2×#41—216no—
562C2×#41—216no—
563C2×#41—28no—
564C2×#41—28no—
565C2×#41—216no—
566C2×#41—28no—
567C2×#41—28no—
568C2×#41—28no—
569C2×#41—216no—
570C2×#41—216no—
571C2×#41—28no—
572C2×#41—216no—
573C2×#41—216no—
574C2×#41—28no—
575C2×#41—24no—
576C2×#41—24no—
577C2×#41—24no—
578C2×#41—24no—
579C2×#41—24no—
580C2×#41—24no—
581C2×#41—28no—
582C2×#41—28no—
583C2×#41—28no—
584C2×#41—216no—
585C2×#41—28no—
586C2×#41—24no—
587C2×#41—24no—
588C2×#41—24no—
589C2×#41—24no—
590C2×#41—48no—
591C2×#41—48no—
592C2×#41—48no—
593C2×#41—48no—
594C2×#41—44no—
595C2×#41—44no—
596C2×#41—44no—
597C2×#41—44no—
598C2×#41—44no—
599C2×#41—44no—
600C2×#41—464no—
601C2×#41C2×D418yes—
602C2×#41C2×D418yes—
603C22×Q8—28no—
604C22×Q8—28no—
605C22×Q8—28no—
606C22×Q8—28no—
607C22×Q8—28no—
608C22×Q8—24no—
609C22×Q8—24no—
610C22×Q8—24no—
611C22×Q8—28no—
612C22×Q8—28no—
613C22×Q8—28no—
614C22×Q8—24no—
615C22×Q8—24no—
616C22×Q8—44no—
617C22×Q8—44no—
618C22×Q8—44no—
619C22×Q8—44no—
620C22×Q8C2×D418yes—
621C22×Q8C2412yes—
622C22×Q8C2411yescharacteristic
623C22×Q8C2412yes—
624C22×Q8C2411yescharacteristic
625C22×Q8C2414yes—
626C22×Q8C2414yes—
627C22×Q8C2411yescharacteristic
628C22×Q8C2412yes—
629C22×Q8C2412yes—
630C22×Q8C2411yescharacteristic
631C22×D4—28no—
632C22×D4—216no—
633C22×D4—216no—
634C22×D4—28no—
635C22×D4—28no—
636C22×D4—28no—
637C22×D4—24no—
638C22×D4—28no—
639C22×D4—28no—
640C22×D4—24no—
641C22×D4—44no—
642C22×D4—44no—
643C22×D4—44no—
644C22×D4—48no—
645C22×D4C2×D418yes—
646C22×D4C2412yes—
647C22×D4C2412yes—
648C22×D4C2411yescharacteristic
649C22×D4C2411yescharacteristic
650C22×D4C2414yes—
651C22×D4C2414yes—
652C22×D4C2418yes—
653C22×D4C2414yes—
654C22×D4C2414yes—
655C22×D4C2414yes—
656C22×D4C2412yes—
657C22×D4C2412yes—
658C22×D4C2412yes—
659C22×D4C2412yes—
660C22×D4C2411yescharacteristic
661C22×D4C2411yescharacteristic
662C22×D4C2414yes—
663C22×D4C2414yes—
664C22×D4C2414yes—
665C22×D4C2418yes—
666C22×D4C2414yes—
667C22×D4C2414yes—
668C22×D4C2414yes—
669C22×D4C2418yes—
670C23×C4—28no—
671C23×C4—28no—
672C23×C4—24no—
673C23×C4—24no—
674C23×C4—24no—
675C23×C4—44no—
676C23×C4C2412yes—
677C23×C4C2411yescharacteristic
678C23×C4C2412yes—
679C23×C4C2412yes—
680C23×C4C2412yes—
681C23×C4C2412yes—
682C23×C4C2412yes—
683C23×C4C2414yes—
684C23×C4C2418yes—
685C23×C4C2414yes—
686C23×C4C2414yes—
687C23×C4C2414yes—
688C23×C4C2414yes—
689C23×C4C2414yes—
690C23×C4C2412yes—
691C23×C4C2412yes—
692C23×C4C2412yes—
693C23×C4C2412yes—
694C23×C4C2412yes—
695C23×C4C2418yes—
696C23×C4C2414yes—
697C23×C4C2411yescharacteristic
698C4⋊Q8—24no—
699C4⋊Q8—28no—
700C4⋊Q8—28no—
701C4⋊Q8—216no—
702C4⋊Q8—24no—
703C4⋊Q8—28no—
704C4⋊Q8—232no—
705C4⋊Q8—28no—
706C4⋊Q8—28no—
707C4⋊Q8C2×D4116yes—
708#127—24no—
709#127—24no—
710#127—232no—
711#127—28no—
712#127C2×D4116yes—
713#124—24no—
714#124—24no—
715#124—28no—
716#124—28no—
717#124—28no—
718#124—216no—
719#124—24no—
720#124—24no—
721#124—28no—
722#124—232no—
723#124—232no—
724#124—28no—
725#124—28no—
726#124C2×D4116yes—
727#124C2×D4116yes—
728#123—28no—
729#123—28no—
730#123—216no—
731#123—232no—
732#123—232no—
733#123—232no—
734#123—28no—
735#123—232no—
736#123—28no—
737#123—232no—
738#123—216no—
739#123—232no—
740#123—216no—
741#123C2×D4132yes—
742C22⋊Q8—28no—
743C22⋊Q8—28no—
744C22⋊Q8—216no—
745C22⋊Q8—28no—
746C22⋊Q8—28no—
747C22⋊Q8—216no—
748C22⋊Q8—216no—
749C22⋊Q8—232no—
750C22⋊Q8—232no—
751C22⋊Q8—232no—
752C22⋊Q8—232no—
753C22⋊Q8—48no—
754C22⋊Q8—48no—
755C22⋊Q8—44no—
756C22⋊Q8—44no—
757C22⋊Q8C2×D4132yes—
758#121—28no—
759#121—28no—
760#121—232no—
761#121—232no—
762#121—216no—
763#121—216no—
764#121—232no—
765#121—216no—
766#121—232no—
767#121—28no—
768#121—28no—
769#121—232no—
770#121—232no—
771#121—232no—
772#121—232no—
773#121—48no—
774#121—48no—
775#121—44no—
776#121—44no—
777#121—48no—
778#121C2×D4132yes—
779#120—216no—
780#120—28no—
781#120—28no—
782#120—232no—
783#120—28no—
784#120—28no—
785#120—232no—
786#120—416no—
787#120C2×D4132yes—
788C4×Q8—28no—
789C4×Q8—28no—
790C4×Q8—216no—
791C4×Q8—216no—
792C4×D4—232no—
793C4×D4—232no—
794C4×D4—216no—
795C4×D4—216no—
796C4×D4—216no—
797C4×D4—216no—
798C4×D4—28no—
799C4×D4—28no—
800C4×D4—216no—
801C4×D4—216no—
802C4×D4—216no—
803C4×D4—232no—
804C4×D4—232no—
805C4×D4—216no—
806C4×D4—216no—
807C4×D4—216no—
808C4×D4—416no—
809#117—24no—
810#117—24no—
811#117—216no—
812#117—28no—
813#117—28no—
814#117C2×D418yes—
815#117C2×D418yes—
816C2×C4⋊C4—216no—
817C2×C4⋊C4—24no—
818C2×C4⋊C4—232no—
819C2×C4⋊C4—232no—
820C2×C4⋊C4—44no—
821C2×C4⋊C4C2414yes—
822C2×C4⋊C4C2418yes—
823C2×C4⋊C4C2414yes—
824C2×C4⋊C4C2414yes—
825C2×C4⋊C4C2412yes—
826C2×C4⋊C4C2412yes—
827C2×C4⋊C4C2418yes—
828C2×C4⋊C4C2418yes—
829C2×C4⋊C4C2418yes—
830C2×C4⋊C4C2412yes—
831C2×C4⋊C4C2414yes—
832C2×C4⋊C4C2414yes—
833C2×C4⋊C4C2412yes—
834C2×C4⋊C4C2418yes—
835C2×C4⋊C4C2414yes—
836C2×C4⋊C4C2414yes—
837C2×C4⋊C4C2414yes—
838C2×C4⋊C4C2418yes—
839C2×C4⋊C4C2414yes—
840C2×C4⋊C4C2418yes—
841C2×C4⋊C4C2414yes—
842C2×C4⋊C4C2414yes—
843C2×C4⋊C4C2414yes—
844C2×C4⋊C4C2414yes—
845C2×C4⋊C4C2418yes—
846C2×C4⋊C4C2412yes—
847C2×C4⋊C4C2412yes—
848C2×C22⋊C4—216no—
849C2×C22⋊C4—216no—
850C2×C22⋊C4—232no—
851C2×C22⋊C4—232no—
852C2×C22⋊C4—48no—
853C2×C22⋊C4—44no—
854C2×C22⋊C4—44no—
855C2×C22⋊C4C2412yes—
856C2×C22⋊C4C2414yes—
857C2×C22⋊C4C2414yes—
858C2×C22⋊C4C2418yes—
859C2×C22⋊C4C2414yes—
860C2×C22⋊C4C2418yes—
861C2×C22⋊C4C2418yes—
862C2×C22⋊C4C2418yes—
863C2×C22⋊C4C2418yes—
864C2×C22⋊C4C2418yes—
865C2×C22⋊C4C2412yes—
866C2×C22⋊C4C2412yes—
867C2×C22⋊C4C2412yes—
868C2×C22⋊C4C2414yes—
869C2×C22⋊C4C2414yes—
870C2×C22⋊C4C2414yes—
871C2×C22⋊C4C2414yes—
872C2×C22⋊C4C2414yes—
873C2×C22⋊C4C2414yes—
874C2×C22⋊C4C2414yes—
875C2×C22⋊C4C2418yes—
876C2×C22⋊C4C2414yes—
877C2×C22⋊C4C2414yes—
878C2×C22⋊C4C2414yes—
879C2×C22⋊C4C2414yes—
880C2×C22⋊C4C2418yes—
881C2×C22⋊C4C2414yes—
882C2×C22⋊C4C2418yes—
883C2×C22⋊C4C2412yes—
884C2×C22⋊C4C2412yes—
885C2×C22⋊C4C2418yes—
886C2×C22⋊C4C2418yes—
887C2×C22⋊C4C2418yes—
888C2×C22⋊C4C2414yes—
889C2×C22⋊C4C2414yes—
890C2×C22⋊C4C2414yes—
891C2×C22⋊C4C2414yes—
892C2×C22⋊C4C2414yes—
893C2×C22⋊C4C2412yes—
894C2×C22⋊C4C2418yes—
895C2×C22⋊C4C2418yes—
896C2×C22⋊C4C2412yes—
897C2×C42—24no—
898C2×C42—24no—
899C2×C42—28no—
900C2×C42—28no—
901C2×C42C2411yescharacteristic
902C2×C42C2411yescharacteristic
903C2×C42C2412yes—
904C2×C42C2412yes—
905C2×C42C2418yes—
906C2×C42C2412yes—
907C2×C42C2414yes—
908C2×C42C2412yes—
909C2×C42C2414yes—
910C2×C42C2411yescharacteristic
911C2×C42C2411yescharacteristic
912C2×C42C2418yes—
913C2×C42C2412yes—
914C2×C42C2412yes—
915#95C2412yes—
916#95C2412yes—
917#95C2412yes—
918#95C2412yes—
919#95C2418yes—
920#95C2418yes—
921#95C2414yes—
922#95C2414yes—
923#95C2418yes—
924#95C2414yes—
925#95C2414yes—
926#95C2418yes—
927#95C2414yes—
928#95C2414yes—
929#95C2418yes—
930#95C2414yes—
931#95C2414yes—
932#95C2418yes—
933#95C2418yes—
934C24—24no—
935C24—24no—
936C24—22no—
937C24—28no—
938C24—28no—
939C24—22no—
940C24—22no—
941C24—44no—
942C24—42no—
943C24—44no—
944C24—42no—
945C24—44no—
946C24—48no—
947C24—48no—
948C24C22×D418yes—
949C24C2512yes—
950C24C2512yes—
951C24C2512yes—
952C24C2512yes—
953C24C2514yes—
954C24C2512yes—
955C24C2511yescharacteristic
956#41—232no—
957#41—232no—
958#41—432no—
959#41—464no—
960#41—432no—
961#41—432no—
962#41—432no—
963#41—464no—
964#41—464no—
965#41—464no—
966#41—432no—
967#41—432no—
968#41—416no—
969#41—416no—
970C2×Q8—232no—
971C2×Q8—22no—
972C2×Q8—24no—
973C2×Q8—22no—
974C2×Q8—24no—
975C2×Q8—28no—
976C2×Q8—28no—
977C2×Q8—22no—
978C2×Q8—24no—
979C2×Q8—28no—
980C2×Q8—28no—
981C2×Q8—24no—
982C2×Q8—22no—
983C2×Q8—24no—
984C2×Q8—22no—
985C2×Q8—24no—
986C2×Q8—22no—
987C2×Q8—24no—
988C2×Q8—24no—
989C2×Q8—22no—
990C2×Q8—22no—
991C2×Q8—24no—
992C2×Q8—24no—
993C2×Q8—22no—
994C2×Q8—22no—
995C2×Q8—44no—
996C2×Q8—44no—
997C2×Q8—432no—
998C2×Q8—432no—
999C2×Q8—432no—
1000C2×Q8—432no—
1001C2×Q8—416no—
1002C2×Q8C22×D414yes—
1003C2×Q8C22×D414yes—
1004C2×Q8C22×D418yes—
1005C2×Q8C22×D418yes—
1006C2×D4—24no—
1007C2×D4—24no—
1008C2×D4—24no—
1009C2×D4—24no—
1010C2×D4—28no—
1011C2×D4—24no—
1012C2×D4—28no—
1013C2×D4—24no—
1014C2×D4—28no—
1015C2×D4—28no—
1016C2×D4—24no—
1017C2×D4—28no—
1018C2×D4—24no—
1019C2×D4—28no—
1020C2×D4—216no—
1021C2×D4—28no—
1022C2×D4—24no—
1023C2×D4—24no—
1024C2×D4—28no—
1025C2×D4—28no—
1026C2×D4—28no—
1027C2×D4—216no—
1028C2×D4—232no—
1029C2×D4—24no—
1030C2×D4—22no—
1031C2×D4—24no—
1032C2×D4—22no—
1033C2×D4—216no—
1034C2×D4—28no—
1035C2×D4—28no—
1036C2×D4—22no—
1037C2×D4—22no—
1038C2×D4—22no—
1039C2×D4—22no—
1040C2×D4—28no—
1041C2×D4—28no—
1042C2×D4—24no—
1043C2×D4—24no—
1044C2×D4—22no—
1045C2×D4—22no—
1046C2×D4—22no—
1047C2×D4—22no—
1048C2×D4—28no—
1049C2×D4—432no—
1050C2×D4—48no—
1051C2×D4—44no—
1052C2×D4—44no—
1053C2×D4—48no—
1054C2×D4—48no—
1055C2×D4—44no—
1056C2×D4—44no—
1057C2×D4—44no—
1058C2×D4—432no—
1059C2×D4—48no—
1060C2×D4—44no—
1061C2×D4—44no—
1062C2×D4—44no—
1063C2×D4—44no—
1064C2×D4—44no—
1065C2×D4—44no—
1066C2×D4—44no—
1067C2×D4—44no—
1068C2×D4—44no—
1069C2×D4—44no—
1070C2×D4—48no—
1071C2×D4—48no—
1072C2×D4—44no—
1073C2×D4—432no—
1074C2×D4—464no—
1075C2×D4C22×D418yes—
1076C2×D4C22×D418yes—
1077C2×D4C22×D418yes—
1078C2×D4C22×D414yes—
1079C2×D4C22×D414yes—
1080C2×D4C22×D418yes—
1081C2×D4C22×D4132yes—
1082C22×C4—24no—
1083C22×C4—24no—
1084C22×C4—24no—
1085C22×C4—24no—
1086C22×C4—24no—
1087C22×C4—24no—
1088C22×C4—24no—
1089C22×C4—24no—
1090C22×C4—24no—
1091C22×C4—28no—
1092C22×C4—28no—
1093C22×C4—216no—
1094C22×C4—28no—
1095C22×C4—28no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—24no—
1099C22×C4—22no—
1100C22×C4—24no—
1101C22×C4—24no—
1102C22×C4—28no—
1103C22×C4—28no—
1104C22×C4—216no—
1105C22×C4—28no—
1106C22×C4—28no—
1107C22×C4—28no—
1108C22×C4—28no—
1109C22×C4—24no—
1110C22×C4—24no—
1111C22×C4—24no—
1112C22×C4—24no—
1113C22×C4—24no—
1114C22×C4—24no—
1115C22×C4—24no—
1116C22×C4—28no—
1117C22×C4—24no—
1118C22×C4—24no—
1119C22×C4—24no—
1120C22×C4—24no—
1121C22×C4—24no—
1122C22×C4—24no—
1123C22×C4—28no—
1124C22×C4—28no—
1125C22×C4—216no—
1126C22×C4—48no—
1127C22×C4—44no—
1128C22×C4—42no—
1129C22×C4—44no—
1130C22×C4—44no—
1131C22×C4—44no—
1132C22×C4—44no—
1133C22×C4—44no—
1134C22×C4—44no—
1135C22×C4—42no—
1136C22×C4—48no—
1137C22×C4—44no—
1138C22×C4—48no—
1139C22×C4—44no—
1140C22×C4—42no—
1141C22×C4—432no—
1142C22×C4—416no—
1143C22×C4C22×D418yes—
1144C22×C4C22×D418yes—
1145C22×C4C22×D418yes—
1146C22×C4C22×D414yes—
1147C22×C4C22×D414yes—
1148C22×C4H(5,𝔽2)14yes—
1149C22×C4C2512yes—
1150C22×C4C2514yes—
1151C22×C4C2514yes—
1152C22×C4C2512yes—
1153C22×C4C2514yes—
1154C22×C4C2512yes—
1155C22×C4C2512yes—
1156C22×C4C2514yes—
1157C22×C4C2512yes—
1158C22×C4C2512yes—
1159C22×C4C2514yes—
1160C22×C4C2514yes—
1161C22×C4C2512yes—
1162C22×C4C2512yes—
1163C22×C4C2514yes—
1164C22×C4C2512yes—
1165C22×C4C2511yescharacteristic
1166C22×C4C2511yescharacteristic
1167C4⋊C4—28no—
1168C4⋊C4—216no—
1169C4⋊C4—28no—
1170C4⋊C4—28no—
1171C4⋊C4—216no—
1172C4⋊C4—216no—
1173C4⋊C4—216no—
1174C4⋊C4—24no—
1175C4⋊C4—28no—
1176C4⋊C4—28no—
1177C4⋊C4—216no—
1178C4⋊C4—24no—
1179C4⋊C4—28no—
1180C4⋊C4—28no—
1181C4⋊C4—28no—
1182C4⋊C4—216no—
1183C4⋊C4—24no—
1184C4⋊C4—24no—
1185C4⋊C4—28no—
1186C4⋊C4—48no—
1187C4⋊C4—44no—
1188C4⋊C4—44no—
1189C4⋊C4—44no—
1190C4⋊C4—44no—
1191C4⋊C4C22×D4132yes—
1192C4⋊C4C22×D418yes—
1193C4⋊C4C22×D418yes—
1194C22⋊C4—24no—
1195C22⋊C4—28no—
1196C22⋊C4—216no—
1197C22⋊C4—216no—
1198C22⋊C4—24no—
1199C22⋊C4—28no—
1200C22⋊C4—28no—
1201C22⋊C4—216no—
1202C22⋊C4—28no—
1203C22⋊C4—28no—
1204C22⋊C4—28no—
1205C22⋊C4—216no—
1206C22⋊C4—216no—
1207C22⋊C4—216no—
1208C22⋊C4—28no—
1209C22⋊C4—28no—
1210C22⋊C4—28no—
1211C22⋊C4—28no—
1212C22⋊C4—28no—
1213C22⋊C4—28no—
1214C22⋊C4—28no—
1215C22⋊C4—28no—
1216C22⋊C4—216no—
1217C22⋊C4—216no—
1218C22⋊C4—24no—
1219C22⋊C4—24no—
1220C22⋊C4—28no—
1221C22⋊C4—48no—
1222C22⋊C4—42no—
1223C22⋊C4—42no—
1224C22⋊C4—48no—
1225C22⋊C4—44no—
1226C22⋊C4—44no—
1227C22⋊C4—48no—
1228C22⋊C4—48no—
1229C22⋊C4—44no—
1230C22⋊C4—44no—
1231C22⋊C4—44no—
1232C22⋊C4C22×D418yes—
1233C22⋊C4C22×D4132yes—
1234C22⋊C4C22×D4132yes—
1235C22⋊C4C22×D418yes—
1236C42—22no—
1237C42—22no—
1238C42—22no—
1239C42—22no—
1240C42—28no—
1241C42—24no—
1242C42—28no—
1243C42—24no—
1244C42—24no—
1245C42—216no—
1246C42—24no—
1247C42—48no—
1248C42C22×D418yes—
1249C42C22×D418yes—
1250C23—22no—
1251C23—22no—
1252C23—22no—
1253C23—22no—
1254C23—24no—
1255C23—22no—
1256C23—22no—
1257C23—24no—
1258C23—28no—
1259C23—24no—
1260C23—24no—
1261C23—24no—
1262C23—28no—
1263C23—24no—
1264C23—216no—
1265C23—22no—
1266C23—22no—
1267C23—22no—
1268C23—22no—
1269C23—22no—
1270C23—22no—
1271C23—22no—
1272C23—22no—
1273C23—22no—
1274C23—22no—
1275C23—22no—
1276C23—24no—
1277C23—24no—
1278C23—24no—
1279C23—24no—
1280C23—22no—
1281C23—22no—
1282C23—416no—
1283C23—416no—
1284C23—44no—
1285C23—44no—
1286C23—44no—
1287C23—84no—
1288C23—88no—
1289C23—84no—
1290C23—84no—
1291C23—84no—
1292C23—816no—
1293C23—816no—
1294C23—164no—
1295C23—164no—
1296C23C23×D418yes—
1297C23C23×D414yes—
1298C23C23×D414yes—
1299C23C23×D412yes—
1300C23C23×D412yes—
1301C23C2×H(5,𝔽2)12yes—
1302C23C2611yescharacteristic
1303Q8—216no—
1304Q8—216no—
1305Q8—28no—
1306Q8—28no—
1307Q8—416no—
1308Q8—416no—
1309Q8—48no—
1310Q8—44no—
1311Q8—48no—
1312Q8—44no—
1313D4—216no—
1314D4—216no—
1315D4—216no—
1316D4—216no—
1317D4—28no—
1318D4—28no—
1319D4—432no—
1320D4—416no—
1321D4—416no—
1322D4—432no—
1323D4—416no—
1324D4—416no—
1325D4—416no—
1326D4—48no—
1327D4—48no—
1328D4—44no—
1329D4—44no—
1330D4—88no—
1331D4—88no—
1332D4—88no—
1333D4—88no—
1334D4—816no—
1335D4—88no—
1336D4—164no—
1337C2×C4—22no—
1338C2×C4—22no—
1339C2×C4—24no—
1340C2×C4—22no—
1341C2×C4—22no—
1342C2×C4—22no—
1343C2×C4—24no—
1344C2×C4—24no—
1345C2×C4—24no—
1346C2×C4—24no—
1347C2×C4—24no—
1348C2×C4—22no—
1349C2×C4—216no—
1350C2×C4—216no—
1351C2×C4—216no—
1352C2×C4—22no—
1353C2×C4—24no—
1354C2×C4—22no—
1355C2×C4—22no—
1356C2×C4—24no—
1357C2×C4—24no—
1358C2×C4—22no—
1359C2×C4—22no—
1360C2×C4—22no—
1361C2×C4—22no—
1362C2×C4—22no—
1363C2×C4—22no—
1364C2×C4—24no—
1365C2×C4—24no—
1366C2×C4—22no—
1367C2×C4—22no—
1368C2×C4—24no—
1369C2×C4—22no—
1370C2×C4—28no—
1371C2×C4—22no—
1372C2×C4—24no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—24no—
1376C2×C4—22no—
1377C2×C4—22no—
1378C2×C4—24no—
1379C2×C4—24no—
1380C2×C4—22no—
1381C2×C4—416no—
1382C2×C4—416no—
1383C2×C4—48no—
1384C2×C4—432no—
1385C2×C4—416no—
1386C2×C4—416no—
1387C2×C4—416no—
1388C2×C4—416no—
1389C2×C4—44no—
1390C2×C4—48no—
1391C2×C4—48no—
1392C2×C4—48no—
1393C2×C4—48no—
1394C2×C4—48no—
1395C2×C4—88no—
1396C2×C4—816no—
1397C2×C4—84no—
1398C2×C4—84no—
1399C2×C4D42116yes—
1400C2×C4C23×D418yes—
1401C2×C4C23×D418yes—
1402C2×C4C23×D414yes—
1403C2×C4C23×D414yes—
1404C2×C4C23×D418yes—
1405C2×C4C23×D412yes—
1406C2×C4C23×D412yes—
1407C2×C4C23×D412yes—
1408C2×C4C23×D412yes—
1409C2×C4C2×H(5,𝔽2)12yes—
1410C2×C4C2×H(5,𝔽2)12yes—
1411C2×C4#58514yes—
1412C22—24no—
1413C22—24no—
1414C22—22no—
1415C22—22no—
1416C22—28no—
1417C22—216no—
1418C22—28no—
1419C22—24no—
1420C22—24no—
1421C22—28no—
1422C22—44no—
1423C22—44no—
1424C22—48no—
1425C22—42no—
1426C22—44no—
1427C22—42no—
1428C22—42no—
1429C22—44no—
1430C22—42no—
1431C22—44no—
1432C22—42no—
1433C22—42no—
1434C22—44no—
1435C22—44no—
1436C22—42no—
1437C22—42no—
1438C22—44no—
1439C22—42no—
1440C22—42no—
1441C22—42no—
1442C22—42no—
1443C22—42no—
1444C22—42no—
1445C22—42no—
1446C22—42no—
1447C22—42no—
1448C22—816no—
1449C22—88no—
1450C22—1616no—
1451C22C2×D4214yes—
1452C22C24×D411yescharacteristic
1453C22C24×D411yescharacteristic
1454C22C22×H(5,𝔽2)11yescharacteristic
1455C22C2×#58512yes—
1456C222−1+612yes—
1457C4—28no—
1458C4—24no—
1459C4—28no—
1460C4—24no—
1461C4—24no—
1462C4—28no—
1463C4—42no—
1464C4—42no—
1465C4—44no—
1466C4—42no—
1467C4—44no—
1468C4—44no—
1469C4—42no—
1470C4—42no—
1471C4—42no—
1472C4—44no—
1473C4C2×D4214yes—
1474C4C2×D4214yes—
1475C2—24no—
1476C2—44no—
1477C2—48no—
1478C2—44no—
1479C2—82no—
1480C2—82no—
1481C2—82no—
1482C2C22×D4211yescharacteristic
1483C2#6283611yescharacteristic
1484C2#6288711yescharacteristic
1485C2#6298812yes—
1486C2#6300212yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3500C2semidirect
2. C2×#3499C2semidirect
3. C2×#3487C2semidirect
4. C2×#3485C2semidirect
5. #59130C2semidirect
6. #59129C2semidirect
7. #59125C2semidirect
8. #59066C2semidirect
9. #58995C2semidirect
10. #45332C2semidirect
11. #45241C2semidirect
12. #45134C2semidirect
13. #44892C2semidirect
14. #43904C2semidirect
15. #35667C2semidirect
16. #35660C2semidirect
17. #35659C2semidirect
18. #35634C2semidirect
19. #35617C2semidirect
20. #35513C2semidirect
21. #34743C2semidirect
22. #34743C2semidirect
23. C2×#2432C2semidirect
24. #34269C2semidirect
25. #34268C2semidirect
27. C22×2−1+4C22semidirect
34. C2×#550C22semidirect
35. C2×#550C22semidirect
36. C2×D4×Q8C22semidirect
37. C2×#548C22semidirect
38. C2×#548C22semidirect
39. C2×#548C22semidirect
42. C2×#547C22semidirect
43. C2×#547C22semidirect
47. C2×#546C22semidirect
52. C2×#536C22semidirect
53. C2×#536C22semidirect
54. C2×#536C22semidirect
55. C2×#536C22semidirect
58. C2×#535C22semidirect
59. C2×#535C22semidirect
63. C2×#532C22semidirect
64. C2×#532C22semidirect
65. C22×C4⋊Q8C22semidirect
66. C22×C4⋊Q8C22semidirect
68. C22×#124C22semidirect
71. C2×#525C22semidirect
72. C2×#525C22semidirect
73. C2×#525C22semidirect
75. C22×C22⋊Q8C22semidirect
76. C2×#519C22semidirect
79. C2×C4×#41C22semidirect
80. #2682C22semidirect
81. #2681C22semidirect
82. #2680C22semidirect
83. #2678C22semidirect
84. #2676C22semidirect
85. #2674C22semidirect
86. #2674C22semidirect
87. #2673C22semidirect
88. #2672C22semidirect
89. #2671C22semidirect
90. #2671C22semidirect
91. #2669C22semidirect
92. #2547C22semidirect
93. #2546C22semidirect
94. #2545C22semidirect
95. #2544C22semidirect
96. #2542C22semidirect
97. #2542C22semidirect
98. #2540C22semidirect
99. #2540C22semidirect
100. #2539C22semidirect
101. #2501C22semidirect
102. #2491C22semidirect
103. #2472C22semidirect
104. #2464C22semidirect
105. #2461C22semidirect
106. #2455C22semidirect
107. #2449C22semidirect
108. #2445C22semidirect
109. #2443C22semidirect
110. #2443C22semidirect
111. #2443C22semidirect
112. #2440C22semidirect
113. #2437C22semidirect
114. #2436C22semidirect
115. #2435C22semidirect
116. #2434C22semidirect
117. #2433C22semidirect
118. #2432C22semidirect
119. #2432C22semidirect
120. #2432C22semidirect
121. #2432C22semidirect
122. #2432C22semidirect
123. #2432C22semidirect
124. #2431C22semidirect
125. #2431C22semidirect
126. #2430C22semidirect
127. #2429C22semidirect
128. #2429C22semidirect
129. #2429C22semidirect
130. #2429C22semidirect
131. #2428C22semidirect
132. #2428C22semidirect
133. #2428C22semidirect
134. #2427C22semidirect
135. #2427C22semidirect
136. #2427C22semidirect
137. #2427C22semidirect
138. #2426C22semidirect
139. #2426C22semidirect
140. #2425C22semidirect
141. #2425C22semidirect
142. #2424C22semidirect
143. #2424C22semidirect
144. #2424C22semidirect
145. #2424C22semidirect
146. #2422C22semidirect
147. #2418C22semidirect
148. #2416C22semidirect
149. #2413C22semidirect
150. #2412C22semidirect
152. #2409C22semidirect
153. #2409C22semidirect
154. #2409C22semidirect
155. #2408C22semidirect
156. #2407C22semidirect
157. #2407C22semidirect
158. #2407C22semidirect
159. #2407C22semidirect
160. #2406C22semidirect
161. #2404C22semidirect
162. #2392C22semidirect
163. #2392C22semidirect
164. C2×#394C22semidirect
165. #2367C22semidirect
166. #2367C22semidirect
167. #2366C22semidirect
168. #2365C22semidirect
169. #2359C22semidirect
170. #2358C22semidirect
171. #2358C22semidirect
172. D4×C4⋊C4C22semidirect
173. #2324C22semidirect
174. #2323C22semidirect
176. #2311C22semidirect
177. #2310C22semidirect
178. C4×C22⋊Q8C22semidirect
179. C4×#121C22semidirect
180. C4×#121C22semidirect
181. C4×#121C22semidirect
183. #2297C22semidirect
184. #2296C22semidirect
185. #2296C22semidirect
186. C2×#391C22semidirect
188. C2×#385C22semidirect
189. #2274C22semidirect
190. C2×C4×C22⋊C4C22semidirect
251. #536D4semidirect
255. #535D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35002
C2×#34992
C2×#34872
C2×#34852
#591302
#591292
#591252
#590662
#589952
#453322
#452412
#451342
#448922
#439042
#356672
#356602
#356592
#356342
#356172
#355132
#347432
C2×#24322
#342692
#342682