Finite Group Databasebeta

← #7674499

Subgroups — #7674499

Order 512.

7356 conjugacy classes of subgroups.

The subgroup lattice has 799 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3504C211yesmaximal, characteristic, complemented
2C22×#540C211yesmaximal, characteristic, complemented
3#45296C218yesmaximal, complemented
4#45034C218yesmaximal, complemented
5#39426C218yesmaximal, complemented
6#39120C218yesmaximal, complemented
7#39116C218yesmaximal, complemented
8#37710C214yesmaximal, complemented
9#37706C214yesmaximal, complemented
10#35584C212yesmaximal, complemented
11#35563C212yesmaximal, complemented
12#35285C211yesmaximal, characteristic, complemented
13#35272C211yesmaximal, characteristic, complemented
14#35174C212yesmaximal, complemented
15#34634C211yesmaximal, characteristic, complemented
16#34265C212yesmaximal, complemented
17#34217C211yesmaximal, characteristic, complemented
18#34065C211yesmaximal, characteristic, complemented
19#3504—216no—
20C2×#557C2214yescomplemented
21C2×#554C2218yes—
22C2×#554C2214yescomplemented
23C2×#544C2212yes—
24C2×#544C2214yescomplemented
25C2×#540—216no—
26C2×#540C2214yes—
27C2×#540C2214yes—
28C2×#540C2218yes—
29C2×#535C2212yes—
30C2×#533C2211yescharacteristic
31C2×#533C2212yescomplemented
32C22×#127C2211yescharacteristic
33C22×#125C2211yescharacteristic
34C22×#125C2212yescomplemented
35C2×#525C2211yescharacteristic
36C22×#123C2214yes—
37C22×#121C2212yes—
38C22×#121C2214yes—
39C2×#520C2212yes—
40C2×C4×#41C2211yescharacteristic
41C22×C4×D4C2212yes—
42C22×#117C2211yescharacteristic
43#2858C2214yescomplemented
44#2856C2214yescomplemented
45#2848C2218yes—
46#2711C22116yescomplemented
47#2711C22116yescomplemented
48#2707C22116yescomplemented
49#2696C22116yescomplemented
50#2681C22116yescomplemented
51#2676C22116yescomplemented
52#2676C22116yescomplemented
53#2674C22116yescomplemented
54#2641C2212yescomplemented
55#2641C2212yescomplemented
56#2629C2212yescomplemented
57#2629C2212yescomplemented
58#2628C2214yescomplemented
59#2627C2214yes—
60#2626C2214yes—
61#2626C2218yes—
62#2619C2214yescomplemented
63#2561C2218yes—
64#2558C22116yescomplemented
65#2548C2214yescomplemented
66#2548C2218yescomplemented
67#2541C2214yescomplemented
68#2540C22116yescomplemented
69#2534C2218yes—
70#2491C2218yescomplemented
71#2491C2218yescomplemented
72#2491C22116yescomplemented
73#2490C2218yescomplemented
74#2490C2218yescomplemented
75#2461C22116yescomplemented
76#2458C22116yescomplemented
77#2454C2218yescomplemented
78#2454C2218yescomplemented
79#2452C2218yescomplemented
80#2452C2218yescomplemented
81#2443C22116yescomplemented
82#2435C2218yes—
83#2435C2218yes—
84#2428C2218yescomplemented
85#2426C22116yescomplemented
86#2426C2218yescomplemented
87#2416C2218yescomplemented
88#2416C22116yescomplemented
89#2414C2218yescomplemented
90#2408C2218yes—
91#2408C2218yes—
92#2396C2218yescomplemented
93#2370C2218yescomplemented
94#2367C2218yescomplemented
95#2366C2218yescomplemented
96#2363C2218yescomplemented
97#2361C2218yescomplemented
98#2345C2218yes—
99#2330C2214yescomplemented
100#2324C2214yescomplemented
101#2323C2214yescomplemented
102#2322C2214yes—
103#2321C2214yes—
104#2321C2218yes—
105#2316C2212yes—
106#2309C2212yes—
107#2309C2212yes—
108#2309C2212yes—
109C4×#125C2214yescomplemented
110C4×#120C2218yes—
111#2297C2211yescharacteristic
112#2296C2211yescharacteristic
113#2296C2212yes—
114#2293C2214yescomplemented
115#2290C2214yescomplemented
116#2285C2211yescharacteristic
117#2280C2211yescharacteristic
118#2280C2212yes—
119#2274C2212yes—
120C4×#117C2211yescharacteristic
121C22×#41C2311yescharacteristic
122C23×D4C2312yes—
123C23×D4C2314yes—
124C23×D4C2314yes—
125C24×C4C2311yescharacteristic
126C24×C4C2314yes—
127#557—232no—
128#554—232no—
129#554—264no—
130#544—232no—
131#544—216no—
132#540—232no—
133#540—232no—
134#540—264no—
135#535—216no—
136#533—216no—
137#533—28no—
138C2×C4⋊Q8C2312yes—
139C2×C4⋊Q8C2318yes—
140C2×C4⋊Q8C2314yes—
141C2×C4⋊Q8C2314yes—
142C2×#127—28no—
143C2×#127C2312yes—
144C2×#127C2312yes—
145C2×#127C2314yes—
146C2×#127C2314yes—
147C2×#125—216no—
148C2×#125D4116yescomplemented
149C2×#125C2311yescharacteristic
150C2×#125C2311yescharacteristic
151C2×#125C2314yes—
152C2×#125C2318yes—
153C2×#125C2314yes—
154C2×#125C2318yes—
155C2×#125C2312yes—
156C2×#125C2312yes—
157C2×#125C2314yes—
158C2×#124C2314yes—
159C2×#124C23116yes—
160C2×#124C23116yes—
161#525—28no—
162C2×#123—232no—
163C2×#123C2312yes—
164C2×#123C23116yes—
165C2×#123C23116yes—
166C2×C22⋊Q8C2318yes—
167C2×C22⋊Q8C2312yes—
168C2×C22⋊Q8C2314yes—
169C2×C22⋊Q8C2318yes—
170C2×C22⋊Q8C2318yes—
171C2×C22⋊Q8C2318yes—
172C2×C22⋊Q8C23116yes—
173C2×#121—232no—
174C2×#121—216no—
175C2×#121C2312yes—
176C2×#121C2318yes—
177C2×#121C2318yes—
178C2×#121C23116yes—
179C2×#121C23116yes—
180C2×#121C2318yes—
181C2×#121C23116yes—
182C2×#121C23116yes—
183C2×#120C2312yes—
184C2×#120C2318yes—
185#520—216no—
186C4×#41—28no—
187C2×C4×Q8C2312yes—
188C2×C4×Q8C2314yes—
189C2×C4×Q8C2314yes—
190C2×C4×Q8C2318yes—
191C2×C4×D4—216no—
192C2×C4×D4C2314yes—
193C2×C4×D4C2318yes—
194C2×C4×D4C2312yes—
195C2×C4×D4C2318yes—
196C2×C4×D4C2314yes—
197C2×C4×D4C2318yes—
198C2×C4×D4C2314yes—
199C2×C4×D4C23116yes—
200C2×#117—28no—
201C2×#117C2311yescharacteristic
202C2×#117C2311yescharacteristic
203C2×#117C2312yes—
204C2×#117C2311yescharacteristic
205C2×#117C2312yes—
206C2×#117C2314yes—
207C2×#117C2314yes—
208C2×#117C2312yes—
209C2×#117C2312yes—
210C2×#117C2312yes—
211C22×C4⋊C4C2312yes—
212C22×C4⋊C4C2314yes—
213C22×C4⋊C4C2318yes—
214C22×C4⋊C4C2312yes—
215C22×C4⋊C4C2314yes—
216C22×C22⋊C4C2314yes—
217C22×C22⋊C4C2312yes—
218C22×C22⋊C4C2314yes—
219C22×C42C2312yes—
220C22×C42C2311yescharacteristic
221C22×C42C2311yescharacteristic
222#400C2318yes—
223#399C2318yes—
224#399C23116yes—
225#398C2318yes—
226#398C2318yes—
227#397C23116yes—
228#396C2318yes—
229#396C2318yes—
230#396C23116yes—
231#396C23116yes—
232#396C23116yes—
233#395C2318yes—
234#394C23116yes—
235#394C23116yes—
236#394C23116yes—
237#394C23116yes—
238#394C23116yes—
239#394C23116yes—
240#394C23116yes—
241#393C23116yes—
242#393C2318yes—
243#393C23116yes—
244#392C23116yes—
245#392C23116yes—
246#391C2312yes—
247#390C2318yes—
248#390C2314yes—
249#390C2314yes—
250#390C2314yes—
251#390C2314yes—
252#390C2318yes—
253#390C2318yes—
254#390C2314yes—
255#390C2314yes—
256#390C2318yes—
257#390C23116yes—
258#390C2312yes—
259#390C23116yes—
260#390C23116yes—
261#390C23116yes—
262#390C23116yes—
263#389C2318yes—
264#389C2318yes—
265#389C2318yes—
266#389C2314yes—
267#389C23116yes—
268#389C2314yes—
269#389C2314yes—
270#388C23116yes—
271#388C23116yes—
272#388C2318yes—
273#388C2318yes—
274#388C23116yes—
275#388C23116yes—
276#388C2318yes—
277#388C23116yes—
278#387C23116yes—
279#387C2318yes—
280#387C23116yes—
281#386C2314yes—
282#386C2318yes—
283#386C23116yes—
284#386C23116yes—
285#386C23116yes—
286#385C2314yes—
287#385C2314yes—
288#385C2318yes—
289#385C23116yes—
290#385C23116yes—
291#385C23116yes—
292#385C2314yes—
293#384C2312yes—
294#382C2312yes—
295#381C2312yes—
296#381C2314yes—
297#380C2318yes—
298#380C2314yes—
299#380C23116yes—
300#380C2314yes—
301#380C2314yes—
302#380C2314yes—
303#379C2318yes—
304#379C2318yes—
305#379C2318yes—
306#379C2312yes—
307#379C2314yes—
308C4×C4⋊C4C2318yes—
309C4×C4⋊C4C23116yes—
310C4×C4⋊C4C2314yes—
311C4×C4⋊C4C2318yes—
312C4×C4⋊C4C2318yes—
313C4×C4⋊C4C2314yes—
314C4×C4⋊C4C2314yes—
315C4×C22⋊C4C2318yes—
316C4×C22⋊C4C2314yes—
317C4×C22⋊C4C2314yes—
318C4×C22⋊C4C23116yes—
319C4×C22⋊C4C2318yes—
320C4×C22⋊C4C2314yes—
321#376C2312yes—
322C43C2312yes—
323C25C2411yescharacteristic
324C25C2414yes—
325C2×#41—24no—
326C2×#41—24no—
327C2×#41#4118yes—
328C22×Q8C2411yescharacteristic
329C22×Q8C2418yes—
330C22×Q8C2414yes—
331C22×D4—28no—
332C22×D4—216no—
333C22×D4—216no—
334C22×D4—28no—
335C22×D4—28no—
336C22×D4—88no—
337C22×D4—88no—
338C22×D4C2414yes—
339C22×D4C2414yes—
340C22×D4C2412yes—
341C22×D4C2411yescharacteristic
342C22×D4C2414yes—
343C22×D4C24116yes—
344C22×D4C24116yes—
345C22×D4C2418yes—
346C22×D4C2418yes—
347C23×C4—24no—
348C23×C4—24no—
349C23×C4—24no—
350C23×C4—216no—
351C23×C4—88no—
352C23×C4C2411yescharacteristic
353C23×C4C2412yes—
354C23×C4C2412yes—
355C23×C4C2412yes—
356C23×C4C2412yes—
357C23×C4C2418yes—
358C23×C4C2414yes—
359C23×C4C24116yes—
360C23×C4C2414yes—
361C23×C4C2412yes—
362C23×C4C2411yescharacteristic
363C4⋊Q8—216no—
364C4⋊Q8—232no—
365C4⋊Q8—216no—
366C4⋊Q8—28no—
367#127—216no—
368#127—28no—
369#127—28no—
370#127—216no—
371#125—216no—
372#125—232no—
373#125—232no—
374#125—216no—
375#125—24no—
376#125—24no—
377#125C2×D4116yes—
378#125C2×D4116yes—
379#125C2×D4132yes—
380#124—216no—
381#124—816no—
382#124—816no—
383#123—28no—
384#123—264no—
385#123—264no—
386C22⋊Q8—28no—
387C22⋊Q8—216no—
388C22⋊Q8—232no—
389C22⋊Q8—232no—
390C22⋊Q8—232no—
391C22⋊Q8—232no—
392C22⋊Q8—816no—
393#121—28no—
394#121—232no—
395#121—264no—
396#121—264no—
397#121—232no—
398#121—232no—
399#121—816no—
400#121—816no—
401#120—28no—
402#120—232no—
403C4×Q8—216no—
404C4×Q8—232no—
405C4×Q8—28no—
406C4×Q8—216no—
407C4×D4—216no—
408C4×D4—232no—
409C4×D4—216no—
410C4×D4—232no—
411C4×D4—232no—
412C4×D4—216no—
413C4×D4—28no—
414C4×D4—816no—
415#117—24no—
416#117—28no—
417#117—24no—
418#117—28no—
419#117—24no—
420#117—216no—
421#117—28no—
422#117—28no—
423#117—216no—
424#117—28no—
425C2×C4⋊C4—28no—
426C2×C4⋊C4—216no—
427C2×C4⋊C4—232no—
428C2×C4⋊C4C2×D4116yes—
429C2×C4⋊C4C2×D4132yes—
430C2×C4⋊C4C2412yes—
431C2×C4⋊C4C2414yes—
432C2×C4⋊C4C2414yes—
433C2×C4⋊C4C2414yes—
434C2×C4⋊C4C2418yes—
435C2×C4⋊C4C2418yes—
436C2×C4⋊C4C2418yes—
437C2×C4⋊C4C2412yes—
438C2×C4⋊C4C2412yes—
439C2×C4⋊C4C2414yes—
440C2×C4⋊C4C2414yes—
441C2×C4⋊C4C2412yes—
442C2×C4⋊C4C2412yes—
443C2×C4⋊C4C2414yes—
444C2×C4⋊C4C2414yes—
445C2×C4⋊C4C2418yes—
446C2×C4⋊C4C2414yes—
447C2×C4⋊C4C2418yes—
448C2×C4⋊C4C2418yes—
449C2×C4⋊C4C24116yes—
450C2×C4⋊C4C2418yes—
451C2×C4⋊C4C2418yes—
452C2×C4⋊C4C2414yes—
453C2×C4⋊C4C2418yes—
454C2×C4⋊C4C2414yes—
455C2×C4⋊C4C2418yes—
456C2×C22⋊C4—28no—
457C2×C22⋊C4—216no—
458C2×C22⋊C4—216no—
459C2×C22⋊C4C2414yes—
460C2×C22⋊C4C2414yes—
461C2×C22⋊C4C24116yes—
462C2×C22⋊C4C24116yes—
463C2×C22⋊C4C2414yes—
464C2×C22⋊C4C2412yes—
465C2×C22⋊C4C2418yes—
466C2×C22⋊C4C2414yes—
467C2×C22⋊C4C2414yes—
468C2×C22⋊C4C2412yes—
469C2×C22⋊C4C2412yes—
470C2×C22⋊C4C2414yes—
471C2×C22⋊C4C2414yes—
472C2×C22⋊C4C24116yes—
473C2×C22⋊C4C2418yes—
474C2×C22⋊C4C24116yes—
475C2×C22⋊C4C2418yes—
476C2×C22⋊C4C24116yes—
477C2×C22⋊C4C24116yes—
478C2×C22⋊C4C24116yes—
479C2×C22⋊C4C24116yes—
480C2×C22⋊C4C2418yes—
481C2×C22⋊C4C2418yes—
482C2×C22⋊C4C24116yes—
483C2×C42—24no—
484C2×C42—28no—
485C2×C42C2×D418yes—
486C2×C42C2412yes—
487C2×C42C2412yes—
488C2×C42C2412yes—
489C2×C42C2412yes—
490C2×C42C2414yes—
491C2×C42C2418yes—
492C2×C42C2414yes—
493C2×C42C2412yes—
494C2×C42C2414yes—
495C2×C42C24116yes—
496C2×C42C2418yes—
497C2×C42C2411yescharacteristic
498C2×C42C2412yes—
499C2×C42C2411yescharacteristic
500#95C2418yes—
501#95C2418yes—
502#95C2418yes—
503#95C24116yes—
504#95C2418yes—
505#95C2418yes—
506#95C2418yes—
507#95C2418yes—
508#95C2418yes—
509#95C2418yes—
510#95C24116yes—
511C24—28no—
512C24—22no—
513C24—22no—
514C24—28no—
515C24—22no—
516C24—28no—
517C24—48no—
518C24—44no—
519C24—48no—
520C24C2512yes—
521C24C2518yes—
522C24C2512yes—
523C24C2511yescharacteristic
524#41—232no—
525C2×Q8—22no—
526C2×Q8—216no—
527C2×Q8—28no—
528C2×Q8—22no—
529C2×Q8—416no—
530C2×Q8—48no—
531C2×Q8C2×#4114yes—
532C2×D4—24no—
533C2×D4—24no—
534C2×D4—28no—
535C2×D4—232no—
536C2×D4—22no—
537C2×D4—28no—
538C2×D4—28no—
539C2×D4—232no—
540C2×D4—216no—
541C2×D4—216no—
542C2×D4—28no—
543C2×D4—28no—
544C2×D4—22no—
545C2×D4—28no—
546C2×D4—28no—
547C2×D4—416no—
548C2×D4—48no—
549C2×D4—416no—
550C2×D4—416no—
551C2×D4—416no—
552C2×D4—416no—
553C2×D4—416no—
554C2×D4—432no—
555C2×D4—832no—
556C2×D4—832no—
557C2×D4C2×#4118yes—
558C2×D4C2×#4114yes—
559C22×C4—24no—
560C22×C4—24no—
561C22×C4—24no—
562C22×C4—22no—
563C22×C4—22no—
564C22×C4—22no—
565C22×C4—24no—
566C22×C4—24no—
567C22×C4—24no—
568C22×C4—24no—
569C22×C4—24no—
570C22×C4—24no—
571C22×C4—28no—
572C22×C4—216no—
573C22×C4—232no—
574C22×C4—44no—
575C22×C4—48no—
576C22×C4—44no—
577C22×C4—416no—
578C22×C4—416no—
579C22×C4—48no—
580C22×C4—416no—
581C22×C4—416no—
582C22×C4—832no—
583C22×C4C22×D418yes—
584C22×C4C22×D4116yes—
585C22×C4C22×D414yes—
586C22×C4C2×#4118yes—
587C22×C4C2×#4114yes—
588C22×C42−1+414yes—
589C22×C4C2512yes—
590C22×C4C2514yes—
591C22×C4C2518yes—
592C22×C4C2514yes—
593C22×C4C2514yes—
594C22×C4C2514yes—
595C22×C4C2514yes—
596C22×C4C2514yes—
597C22×C4C2512yes—
598C22×C4C2512yes—
599C22×C4C2518yes—
600C22×C4C2512yes—
601C22×C4C2511yescharacteristic
602C22×C4C2511yescharacteristic
603C4⋊C4—24no—
604C4⋊C4—28no—
605C4⋊C4—28no—
606C4⋊C4—28no—
607C4⋊C4—216no—
608C4⋊C4—216no—
609C4⋊C4—216no—
610C4⋊C4—24no—
611C4⋊C4—28no—
612C4⋊C4—24no—
613C4⋊C4—28no—
614C4⋊C4—216no—
615C4⋊C4—28no—
616C4⋊C4—28no—
617C4⋊C4—24no—
618C4⋊C4—28no—
619C4⋊C4—24no—
620C4⋊C4—48no—
621C4⋊C4—48no—
622C4⋊C4—416no—
623C4⋊C4—48no—
624C4⋊C4—48no—
625C4⋊C4C22×D4116yes—
626C4⋊C4C22×D4132yes—
627C4⋊C4C22×D4116yes—
628C4⋊C4C22×D4132yes—
629C22⋊C4—28no—
630C22⋊C4—24no—
631C22⋊C4—28no—
632C22⋊C4—24no—
633C22⋊C4—28no—
634C22⋊C4—24no—
635C22⋊C4—28no—
636C22⋊C4—28no—
637C22⋊C4—232no—
638C22⋊C4—232no—
639C22⋊C4—216no—
640C22⋊C4—28no—
641C22⋊C4—28no—
642C22⋊C4—232no—
643C22⋊C4—48no—
644C22⋊C4—416no—
645C22⋊C4—48no—
646C22⋊C4—416no—
647C22⋊C4—416no—
648C22⋊C4—416no—
649C22⋊C4—416no—
650C22⋊C4—48no—
651C22⋊C4—416no—
652C22⋊C4—48no—
653C42—24no—
654C42—24no—
655C42—24no—
656C42—28no—
657C42—216no—
658C42—28no—
659C42—24no—
660C42—28no—
661C42—24no—
662C42—416no—
663C42—48no—
664C42C22×D414yes—
665C42C22×D414yes—
666C42C22×D418yes—
667C23—24no—
668C23—22no—
669C23—22no—
670C23—28no—
671C23—28no—
672C23—22no—
673C23—22no—
674C23—28no—
675C23—22no—
676C23—28no—
677C23—24no—
678C23—216no—
679C23—216no—
680C23—24no—
681C23—416no—
682C23—48no—
683C23—416no—
684C23—44no—
685C23—416no—
686C23—84no—
687C23—816no—
688C23—84no—
689C23—816no—
690C23C23×D412yes—
691C23C22×#4114yes—
692C23C22×#4112yes—
693C23C2×2−1+412yes—
694C23C2611yescharacteristic
695Q8—28no—
696Q8—816no—
697Q8—88no—
698D4—216no—
699D4—28no—
700D4—416no—
701D4—416no—
702D4—832no—
703D4—816no—
704D4—816no—
705D4—88no—
706D4—832no—
707C2×C4—22no—
708C2×C4—22no—
709C2×C4—24no—
710C2×C4—216no—
711C2×C4—24no—
712C2×C4—216no—
713C2×C4—24no—
714C2×C4—24no—
715C2×C4—24no—
716C2×C4—24no—
717C2×C4—22no—
718C2×C4—24no—
719C2×C4—28no—
720C2×C4—22no—
721C2×C4—24no—
722C2×C4—22no—
723C2×C4—28no—
724C2×C4—28no—
725C2×C4—28no—
726C2×C4—28no—
727C2×C4—28no—
728C2×C4—28no—
729C2×C4—28no—
730C2×C4—24no—
731C2×C4—24no—
732C2×C4—416no—
733C2×C4—48no—
734C2×C4—48no—
735C2×C4—44no—
736C2×C4—48no—
737C2×C4—48no—
738C2×C4—816no—
739C2×C4—88no—
740C2×C4—832no—
741C2×C4#548116yes—
742C2×C4C23×D414yes—
743C2×C4C23×D4116yes—
744C2×C4C23×D414yes—
745C2×C4C23×D412yes—
746C2×C4C23×D412yes—
747C2×C4C22×#4114yes—
748C2×C4C22×#4112yes—
749C2×C4C22×#4112yes—
750C2×C4C2×2−1+412yes—
751C2×C4C2×2−1+412yes—
752C22—24no—
753C22—24no—
754C22—24no—
755C22—28no—
756C22—24no—
757C22—44no—
758C22—44no—
759C22—48no—
760C22—44no—
761C22—48no—
762C22—42no—
763C22—416no—
764C22—42no—
765C22—44no—
766C22—416no—
767C22—42no—
768C22—48no—
769C22—832no—
770C22—88no—
771C22C2×#54814yes—
772C22C24×D411yescharacteristic
773C22C23×#4111yescharacteristic
774C22C22×2−1+411yescharacteristic
775C22H(7,𝔽2)14yes—
776C4—216no—
777C4—24no—
778C4—24no—
779C4—24no—
780C4—44no—
781C4—44no—
782C4—44no—
783C4—44no—
784C4—44no—
785C4—48no—
786C4—44no—
787C4—42no—
788C4C2×#54814yes—
789C4C2×#54814yes—
790C2—24no—
791C2—44no—
792C2—88no—
793C2—82no—
794C2C22×#54811yescharacteristic
795C2#6285212yes—
796C2#6285812yes—
797C2#6288112yes—
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×#3504C2semidirect
2. C22×#540C2semidirect
3. #45296C2semidirect
4. #45034C2semidirect
5. #39426C2semidirect
6. #39120C2semidirect
7. #39116C2semidirect
8. #37710C2semidirect
9. #37706C2semidirect
10. #35584C2semidirect
11. #35563C2semidirect
12. #35285C2semidirect
13. #35272C2semidirect
14. #35174C2semidirect
15. #34634C2semidirect
16. #34265C2semidirect
17. #34217C2semidirect
18. #34065C2semidirect
20. C2×#557C22semidirect
22. C2×#554C22semidirect
24. C2×#544C22semidirect
31. C2×#533C22semidirect
34. C22×#125C22semidirect
43. #2858C22semidirect
44. #2856C22semidirect
46. #2711C22semidirect
47. #2711C22semidirect
48. #2707C22semidirect
49. #2696C22semidirect
50. #2681C22semidirect
51. #2676C22semidirect
52. #2676C22semidirect
53. #2674C22semidirect
54. #2641C22semidirect
55. #2641C22semidirect
56. #2629C22semidirect
57. #2629C22semidirect
58. #2628C22semidirect
62. #2619C22semidirect
64. #2558C22semidirect
65. #2548C22semidirect
66. #2548C22semidirect
67. #2541C22semidirect
68. #2540C22semidirect
70. #2491C22semidirect
71. #2491C22semidirect
72. #2491C22semidirect
73. #2490C22semidirect
74. #2490C22semidirect
75. #2461C22semidirect
76. #2458C22semidirect
77. #2454C22semidirect
78. #2454C22semidirect
79. #2452C22semidirect
80. #2452C22semidirect
81. #2443C22semidirect
84. #2428C22semidirect
85. #2426C22semidirect
86. #2426C22semidirect
87. #2416C22semidirect
88. #2416C22semidirect
89. #2414C22semidirect
92. #2396C22semidirect
93. #2370C22semidirect
94. #2367C22semidirect
95. #2366C22semidirect
96. #2363C22semidirect
97. #2361C22semidirect
99. #2330C22semidirect
100. #2324C22semidirect
101. #2323C22semidirect
109. C4×#125C22semidirect
114. #2293C22semidirect
115. #2290C22semidirect
148. C2×#125D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35042
C22×#5402
#452962
#450342
#394262
#391202
#391162
#377102
#377062
#355842
#355632
#352852
#352722
#351742
#346342
#342652
#342172
#340652