Finite Group Databasebeta

← #31764443

Subgroups — #31764443

Order 17152.

7220 conjugacy classes of subgroups.

The subgroup lattice has 1352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22574320C212yesmaximal, complemented
2#22574294C211yesmaximal, characteristic, complemented
3#22574283C216yesmaximal, complemented
4#22574253C213yesmaximal, complemented
5#22574243C213yesmaximal, complemented
6#22574221C211yesmaximal, characteristic, complemented
7#22574216C211yesmaximal, characteristic, complemented
8#22574203C212yesmaximal, complemented
9#22574186C213yesmaximal, complemented
10#22574173C213yesmaximal, complemented
11#22574154C216yesmaximal, complemented
12#22573809C213yesmaximal, complemented
13#22573791C211yesmaximal, characteristic, complemented
14#22573770C213yesmaximal, complemented
15#22573762C216yesmaximal, complemented
16D4×#11761629C212yesmaximal, complemented
17D4×#11761629C211yesmaximal, characteristic, complemented
18#22573600C216yesmaximal, complemented
19#22573506C213yesmaximal, complemented
20#529×D67C213yesmaximal, complemented
21#22573411C212yesmaximal, complemented
22C2×C4×#11761629C211yesmaximal, characteristic, complemented
23C67×#3523C211yesmaximal, characteristic, complemented
24C22×#11761629C2211yescharacteristic
25C22×#11761629C2212yes—
26#16864131C2216yescomplemented
27#16864131C2213yescomplemented
28Q8×Dic134C2211yescharacteristic, complemented
29#16864122C2212yescomplemented
30#16864120C2216yescomplemented
31#16864120C2213yescomplemented
32#16864117C2216yescomplemented
33#16864111C2213yescomplemented
34#16864109C2216yescomplemented
35#16864106C2213yescomplemented
36#16864106C2213yescomplemented
37#16864104C2216yescomplemented
38#16864102C2216yescomplemented
39#16864099C22112yescomplemented
40#16864099C2216yescomplemented
41#16864099C2216yescomplemented
42#16864092C2216yescomplemented
43#16864090C2216yescomplemented
44#16864087C2216yescomplemented
45#16864087C2216yescomplemented
46#16864080C2216yescomplemented
47#16864078C22112yescomplemented
48#16864071C22112yescomplemented
49#16864071C22112yescomplemented
50#16864070C22112yescomplemented
51#16864068C2211yescharacteristic, complemented
52#16864068C2212yescomplemented
53#16864068C2213yescomplemented
54#16864061C2213yescomplemented
55#16864058C2216yescomplemented
56#16864057C2212yescomplemented
57#16864057C2212yescomplemented
58#16864057C2212yescomplemented
59#16864049C2213yescomplemented
60#16864049C2216yescomplemented
61#16864049C2213yescomplemented
62#16864047C2216yescomplemented
63#16864039C2216yescomplemented
64#16864038C22112yescomplemented
65#16864037C2216yescomplemented
66#16864037C2216yescomplemented
67#16864037C2216yescomplemented
68D4×D268C2216yescomplemented
69D4×D268C2213yescomplemented
70#16864019C2216yescomplemented
71#16864019C2216yescomplemented
72#16864018C2216yescomplemented
73#16864018C2216yescomplemented
74#16864007C2216yescomplemented
75#16864002C2216yescomplemented
76#16864001C2216yescomplemented
77#16863994C22112yescomplemented
78#16863994C22112yescomplemented
79#16863985C22112yescomplemented
80#16863985C22112yescomplemented
81#16863952C2216yescomplemented
82#16863951C2213yescomplemented
83#16863951C2213yescomplemented
84#16863947C2216yescomplemented
85#16863947C2213yescomplemented
86#16863947C2213yescomplemented
87#16863946C2213yescomplemented
88#16863933C2216yescomplemented
89#16863933C2213yescomplemented
90#16863933C2216yescomplemented
91#16863932C2216yescomplemented
92#16863932C2213yescomplemented
93#16863931C2216yescomplemented
94#16863931C22112yescomplemented
95#16863931C2213yescomplemented
96#16863931C2216yescomplemented
97#16863930C2213yescomplemented
98#16863929C2216yescomplemented
99#16863929C22112yescomplemented
100#16863928C2213yescomplemented
101#16863927C2211yescharacteristic
102#16863926C2216yescomplemented
103#16863925C2213yescomplemented
104#16863924C2216yescomplemented
105#16863923C2216yescomplemented
106#126×D67C2216yescomplemented
107#125×D67C2213yescomplemented
108#124×D67C2213yescomplemented
109#16863909C2216yescomplemented
110#16863909C2216yescomplemented
111#16863909C2216yescomplemented
112#16863909C2216yescomplemented
113#16863908C2216yescomplemented
114#123×D67C2216yescomplemented
115C22⋊Q8×D67C2213yescomplemented
116#121×D67C2213yes—
117#16863878C2216yescomplemented
118#16863878C2212yescomplemented
119#16863878C2216yescomplemented
120#16863878C2212yescomplemented
121#16863874C2212yescomplemented
122#16863870C2216yescomplemented
123#16863870C2216yescomplemented
124C4×#11761629C2211yescharacteristic
125C4×#11761629C2211yescharacteristic
126C4×#11761629C2212yes—
127C4×#11761629C2213yescomplemented
128C4×#11761629C2216yescomplemented
129C4×#11761629C2213yescomplemented
130C4×#11761629C2211yescharacteristic, complemented
131C4×#11761629C2213yescomplemented
132C4×#11761629C2213yescomplemented
133C4×#11761629C2211yescharacteristic, complemented
134C4×#11761629C2216yescomplemented
135C4×#11761629C2216yescomplemented
136#16863864C2216yescomplemented
137C2×Q8×Dic67C2211yescharacteristic, complemented
138C4×Q8×D67C2213yescomplemented
139C2×C4×D268C2213yescomplemented
140C2×#14524005C2213yescomplemented
141C4×D4×D67C2216yescomplemented
142C4×D4×D67C2213yescomplemented
143C2×#14524001C2213yescomplemented
144#117×D67C2216yescomplemented
145#117×D67C2216yescomplemented
146C2×C42×D67C2213yescomplemented
147#557×C67C2213yescomplemented
148#557×C67C2211yescharacteristic, complemented
149#556×C67C2213yescomplemented
150#552×C67C2216yescomplemented
151D4×Q8×C67C2212yescomplemented
152D4×Q8×C67C2211yescharacteristic, complemented
153#541×C67C2216yescomplemented
154#533×C67C2213yescomplemented
155#529×C67C2213yes—
156#519×C67C2212yescomplemented
157C2×C4×Q8×C67C2211yescharacteristic, complemented
158C2×#11761629—28no—
159C2×#11761629—216no—
160C2×#11761629C2313yes—
161C2×#11761629C2316yes—
162C2×#11761629C2311yescharacteristic
163C2×#11761629C2312yes—
164C2×#11761629C2313yes—
165C2×#11761629C2316yes—
166C2×#11761629C2316yes—
167C2×#11761629C2311yescharacteristic
168C2×#11761628C2316yes—
169C2×Q8×D67C2313yes—
170C22×D268C2313yes—
171C22×D268C2316yes—
172C2×D4×D67C2316yes—
173C2×D4×D67C2313yes—
174C22×C4×D67C2313yes—
175C22×C4×D67C2316yes—
176C22×C4×D67C2313yes—
177C22×C4×D67C2313yes—
178#14524043C2313yes—
179#14524042C2316yes—
180#14524042C2316yes—
181#14524040C2316yes—
182#14524040C2313yes—
183#14524038C23112yes—
184#14524038C23112yes—
185#14524038C23112yes—
186#14524038C2316yes—
187#14524038C2316yes—
188#14524038C2316yes—
189#14524037C2316yes—
190#14524037C23112yes—
191#14524036C2316yes—
192#14524036C2316yes—
193#14524036C2312yes—
194#14524035C2316yes—
195#14524035C2313yes—
196#14524034C2316yes—
197#14524034C2311yescharacteristic
198#14524034C2313yes—
199#14524033C2316yes—
200#14524033C23112yes—
201#14524033C2316yes—
202#14524032C2316yes—
203#14524032C2316yes—
204#14524032C2316yes—
205#14524032C2313yes—
206#14524031C2316yes—
207#14524031C23112yes—
208#14524031C2313yes—
209#14524030C2311yescharacteristic
210#14524029C2316yes—
211#14524029C23112yes—
212#14524029C2316yes—
213#14524028C23112yes—
214#14524028C23112yes—
215#14524028C2316yes—
216#14524028C23112yes—
217#14524028C23112yes—
218#14524028C23112yes—
219#14524028C23112yes—
220#14524028C23112yes—
221#14524028C2316yes—
222#14524027C2316yes—
223#14524026C2316yes—
224#14524025C2316yes—
225#14524025C23112yes—
226#14524025C2316yes—
227#14524024C2312yes—
228#14524023C2316yes—
229#14524023C23112yes—
230#14524023C2313yes—
231#14524023C2316yes—
232#14524022C2311yescharacteristic
233#14524021C2316yes—
234#14524021C23112yes—
235#14524021C23112yes—
236#14524021C23112yes—
237#14524020C2316yes—
238#14524019C2316yes—
239#14524019C2316yes—
240#14524019C2316yes—
241#14524019C2313yes—
242#14524019C2316yes—
243#14524018C2316yes—
244#14524018C2316yes—
245#14524018C2316yes—
246#14524018C23112yes—
247#14524018C2316yes—
248#14524018C23112yes—
249#14524018C23112yes—
250#14524018C2316yes—
251#14524018C2316yes—
252#14524018C2313yes—
253#14524017C2316yes—
254#14524017C2316yes—
255#14524017C2316yes—
256#14524017C2313yes—
257#14524016C2316yes—
258#14524016C23112yes—
259#14524015C2316yes—
260#14524014C2313yes—
261#14524013C23112yes—
262#14524013C23112yes—
263#14524013C23112yes—
264Q8×Dic67C2313yes—
265Q8×Dic67C2316yes—
266Q8×Dic67C2311yescharacteristic
267Q8×Dic67C2312yes—
268Q8×Dic67C2313yes—
269Q8×Dic67C2316yes—
270Q8×Dic67C2313yes—
271Q8×Dic67C2311yescharacteristic
272C4×Dic134C2313yes—
273C4×Dic134C2316yes—
274#14524008C2316yes—
275#14524008C2311yescharacteristic
276#14524008C2316yes—
277#14524008C2316yes—
278C4×D268C2313yes—
279C4×D268C2316yes—
280C4×D268C2313yes—
281C4×D268C2316yes—
282C4×D268C2316yes—
283C4×D268C2316yes—
284C4×D268C2313yes—
285C4×D268C2316yes—
286C4×D268C2313yes—
287C4×D268C23112yes—
288C4×D268C2316yes—
289C4×D268C23112yes—
290C4×D268C2313yes—
291C4×D268C2316yes—
292C4×D268C23112yes—
293D4×Dic67C2312yes—
294D4×Dic67C2311yescharacteristic
295#14524005C2313yes—
296#14524005C2316yes—
297#14524005C2316yes—
298#14524005C2313yes—
299#14524005C23112yes—
300#14524005C2316yes—
301#14524005C2316yes—
302#14524005C2316yes—
303#14524005C2313yes—
304#14524005C2313yes—
305#14524005C2316yes—
306#14524005C2313yes—
307#14524005C2316yes—
308#14524005C2316yes—
309#14524005C23112yes—
310#14524005C23112yes—
311C4×C22⋊D67C2316yes—
312C4×C22⋊D67C2316yes—
313C4×C22⋊D67C2316yes—
314(C22⋊D67)⋊C4C23112yes—
315(C22⋊D67)⋊C4C2316yes—
316(C22⋊D67)⋊C4C2316yes—
317(C22⋊D67)⋊C4C2316yes—
318#14524002C2316yes—
319#14524002C2316yes—
320#14524001C2316yes—
321#14524001C23112yes—
322#14524001C2313yes—
323#14524001C2316yes—
324#14524001C2313yes—
325#14524001C2313yes—
326#14524001C2316yes—
327#14524001C2316yes—
328#14524001C2316yes—
329#14524001C2313yes—
330#14524001C2316yes—
331#14524000C2316yes—
332#14524000C2316yes—
333#14524000C23112yes—
334#14524000C23112yes—
335#14523999C2316yes—
336#14523999C2312yes—
337C2×C4⋊Dic67C2313yes—
338C4⋊C4×D67C2316yes—
339C4⋊C4×D67C2316yes—
340C4⋊C4×D67C2313yes—
341C4⋊C4×D67C2316yes—
342C4⋊C4×D67C2316yes—
343C4⋊C4×D67C2313yes—
344C4⋊C4×D67C2316yes—
345C4⋊C4×D67C2316yes—
346C2×(C2×D67)⋊C4C2316yes—
347C22⋊C4×D67C2316yes—
348C22⋊C4×D67C2316yes—
349C22⋊C4×D67C2316yes—
350C22⋊C4×D67C23112yes—
351C22⋊C4×D67C2316yes—
352C22⋊C4×D67C2316yes—
353C2×C4×Dic67C2311yescharacteristic
354C2×C4×Dic67C2313yes—
355C2×C4×Dic67C2313yes—
356C42×D67C2313yes—
357C42×D67C2313yes—
358C42×D67C2313yes—
359C42×D67C2313yes—
360C42×D67C2313yes—
361C42×D67C2313yes—
362C42×D67C2313yes—
363C42×D67C2313yes—
364C42×D67C2316yes—
365C42×D67C23112yes—
366C22×Q8×C67C2311yescharacteristic
367C22×Q8×C67C2312yes—
368C4⋊Q8×C67C2316yes—
369C4⋊Q8×C67C2313yes—
370C4⋊Q8×C67C2313yes—
371#126×C67C23112yes—
372#126×C67C2316yes—
373#125×C67C2316yes—
374#125×C67C23112yes—
375#125×C67C2313yes—
376#125×C67C2316yes—
377#124×C67C2313yes—
378#123×C67C2316yes—
379C22⋊Q8×C67C2316yes—
380C22⋊Q8×C67C2316yes—
381C22⋊Q8×C67C2316yes—
382C22⋊Q8×C67C2313yes—
383#121×C67C2311yescharacteristic
384C4×Q8×C67C2313yes—
385C4×Q8×C67C2316yes—
386C4×Q8×C67C2316yes—
387C4×Q8×C67C2311yescharacteristic
388C4×Q8×C67C2311yescharacteristic
389C4×Q8×C67C2313yes—
390C4×Q8×C67C2312yes—
391C4×Q8×C67C2313yes—
392C4×Q8×C67C2316yes—
393C4×D4×C67C2316yes—
394C4×D4×C67C2313yes—
395#117×C67C2316yes—
396#117×C67C2316yes—
397#117×C67C2316yes—
398C2×C4⋊C4×C67C2313yes—
399C2×C42×C67C2313yes—
400C23×D67C2413yes—
401C23×D67C2416yes—
402#11761629—24no—
403#11761629—28no—
404#11761629—212no—
405#11761629—224no—
406#11761629—212no—
407#11761629—224no—
408#11761629—412no—
409#11761629#4118yescomplemented
410#11761628—412no—
411C2×Dic134C2411yescharacteristic
412C2×Dic134C2416yes—
413C2×Dic134C2416yes—
414Q8×D67—46no—
415C2×D268—212no—
416C2×D268—224no—
417C2×D268C24112yes—
418C2×D268C2416yes—
419C2×D268C2413yes—
420C2×D268C2416yes—
421C2×D268C2413yes—
422C2×D268C2416yes—
423C2×D268C24112yes—
424C2×D268C2416yes—
425C2×D268C2413yes—
426C2×C22⋊D67C2416yes—
427C2×C22⋊D67C2416yes—
428C2×C22⋊D67C2416yes—
429D4×D67—46no—
430D4×D67—412no—
431C22×Dic67C2411yescharacteristic
432C22×Dic67C2411yescharacteristic
433C22×Dic67C2412yes—
434C22×Dic67C2413yes—
435C2×C4×D67—212no—
436C2×C4×D67—224no—
437C2×C4×D67—46no—
438C2×C4×D67—46no—
439C2×C4×D67C2413yes—
440C2×C4×D67C2413yes—
441C2×C4×D67C2413yes—
442C2×C4×D67C2416yes—
443C2×C4×D67C2413yes—
444C2×C4×D67C2413yes—
445C2×C4×D67C2416yes—
446C2×C4×D67C2416yes—
447C2×C4×D67C2413yes—
448C2×C4×D67C2413yes—
449C2×C4×D67C2413yes—
450C2×C4×D67C2413yes—
451C2×C4×D67C2413yes—
452C2×C4×D67C2413yes—
453C2×C4×D67C2416yes—
454C2×C4×D67C2416yes—
455C2×C4×D67C24112yes—
456C2×C4×D67C24112yes—
457C2×C4×D67C2413yes—
458C4⋊Dic67C2411yescharacteristic
459C4⋊Dic67C2412yes—
460C4⋊Dic67C2413yes—
461C4⋊Dic67C2413yes—
462C4⋊Dic67C2416yes—
463C4⋊Dic67C2416yes—
464C4⋊Dic67C2416yes—
465C4⋊Dic67C2416yes—
466C4⋊Dic67C2413yes—
467C4⋊Dic67C2416yes—
468Dic67⋊C4C2416yes—
469Dic67⋊C4C2412yes—
470Dic67⋊C4C2416yes—
471Dic67⋊C4C2412yes—
472Dic67⋊C4C2412yes—
473Dic67⋊C4C2416yes—
474Dic67⋊C4C2416yes—
475Dic67⋊C4C2416yes—
476Dic67⋊C4C2416yes—
477Dic67⋊C4C2416yes—
478Dic67⋊C4C24112yes—
479C22⋊Dic67C2416yes—
480C22⋊Dic67C2412yes—
481C22⋊Dic67C2412yes—
482C22⋊Dic67C2412yes—
483C22⋊Dic67C2412yes—
484(C2×D67)⋊C4C2416yes—
485(C2×D67)⋊C4C2416yes—
486(C2×D67)⋊C4C24112yes—
487(C2×D67)⋊C4C2416yes—
488(C2×D67)⋊C4C2416yes—
489(C2×D67)⋊C4C2416yes—
490(C2×D67)⋊C4C2416yes—
491(C2×D67)⋊C4C2416yes—
492(C2×D67)⋊C4C2416yes—
493(C2×D67)⋊C4C2416yes—
494(C2×D67)⋊C4C2416yes—
495(C2×D67)⋊C4C2416yes—
496(C2×D67)⋊C4C2416yes—
497(C2×D67)⋊C4C2416yes—
498(C2×D67)⋊C4C2416yes—
499(C2×D67)⋊C4C24112yes—
500(C2×D67)⋊C4C24112yes—
501(C2×D67)⋊C4C24112yes—
502C4×Dic67C2411yescharacteristic
503C4×Dic67C2413yes—
504C4×Dic67C2411yescharacteristic
505C4×Dic67C2411yescharacteristic
506C4×Dic67C2411yescharacteristic
507C4×Dic67C2416yes—
508C4×Dic67C2412yes—
509C4×Dic67C2413yes—
510C4×Dic67C2413yes—
511C4×Dic67C2413yes—
512C4×Dic67C2413yes—
513C4×Dic67C2413yes—
514C4×Dic67C2413yes—
515C4×Dic67C2413yes—
516C4×Dic67C24112yes—
517C4×Dic67C2416yes—
518C2×Q8×C67—24no—
519C2×Q8×C67—28no—
520C2×Q8×C67C2413yes—
521C2×Q8×C67C2413yes—
522C2×Q8×C67C2416yes—
523C2×Q8×C67C2411yescharacteristic
524C2×D4×C67C2412yes—
525C2×D4×C67C2411yescharacteristic
526C22×C4×C67C2411yescharacteristic
527C22×C4×C67C2413yes—
528C22×C4×C67C2413yes—
529C22×C4×C67C2416yes—
530C4⋊C4×C67C2413yes—
531C4⋊C4×C67C2413yes—
532C4⋊C4×C67C2416yes—
533C4⋊C4×C67C2416yes—
534C4⋊C4×C67C2416yes—
535C4⋊C4×C67C2416yes—
536C4⋊C4×C67C2416yes—
537C4⋊C4×C67C2416yes—
538C4⋊C4×C67C2413yes—
539C4⋊C4×C67C2416yes—
540C4⋊C4×C67C2411yescharacteristic
541C4⋊C4×C67C24112yes—
542C4⋊C4×C67C2416yes—
543C22⋊C4×C67C2412yes—
544C22⋊C4×C67C2416yes—
545C22⋊C4×C67C2416yes—
546C22⋊C4×C67C2416yes—
547C22⋊C4×C67C2416yes—
548C42×C67C2413yes—
549C42×C67C2413yes—
550C42×C67C2413yes—
551C42×C67C2413yes—
552C42×C67C24112yes—
553C42×C67C2416yes—
554C23×C67C2512yes—
555C23×C67C2511yescharacteristic
556C22×D67—26no—
557C22×D67—26no—
558C22×D67—212no—
559C22×D67—43no—
560C22×D67—46no—
561C22×D67—46no—
562C22×D67C2513yes—
563C22×D67C2516yes—
564C22×D67C2513yes—
565Q8×C67—26no—
566Q8×C67—212no—
567Q8×C67—26no—
568Q8×C67C2×#4114yes—
569D4×C67—24no—
570D4×C67—22no—
571C2×C4×C67—26no—
572C2×C4×C67—26no—
573C2×C4×C67—212no—
574C2×C4×C67—22no—
575C2×C4×C67C2511yescharacteristic
576C2×C4×C67C2513yes—
577C2×C4×C67C2516yes—
578C2×C4×C67C2512yes—
579C2×C4×C67C2513yes—
580C2×C4×C67C2513yes—
581C2×C4×C67C2516yes—
582C2×C4×C67C2513yes—
583C2×C4×C67C2511yescharacteristic
584C22⋊D67—212no—
585C22⋊D67—46no—
586C22⋊D67—46no—
587C2×Dic67—22no—
588C2×Dic67—22no—
589C2×Dic67—24no—
590C2×Dic67—43no—
591C2×Dic67C2511yescharacteristic
592C2×Dic67C2513yes—
593C2×Dic67C2511yescharacteristic
594C2×Dic67C2511yescharacteristic
595C2×Dic67C2512yes—
596C2×Dic67C2513yes—
597C2×Dic67C2516yes—
598C2×Dic67C2512yes—
599C2×Dic67C2511yescharacteristic
600D268—212no—
601D268—224no—
602D268—26no—
603D268—212no—
604D268—26no—
605D268—46no—
606D268—46no—
607D268—412no—
608D268C2×#41112yes—
609C4×D67—26no—
610C4×D67—212no—
611C4×D67—26no—
612C4×D67—212no—
613C4×D67—26no—
614C4×D67—26no—
615C4×D67—26no—
616C4×D67—212no—
617C4×D67—43no—
618C4×D67—43no—
619C4×D67—43no—
620C4×D67—43no—
621C4×D67—43no—
622C4×D67—43no—
623C4×D67—46no—
624C4×D67—46no—
625C4×D67—412no—
626C4×D67—412no—
627C4×D67C2×#41112yes—
628Dic134—22no—
629Dic134—46no—
630Dic134—46no—
631C22×C67—21no—
632C22×C67—21no—
633C22×C67—22no—
634C22×C67—22no—
635C22×C67—22no—
636C22×C67#58512yes—
637C22×C67C2611yescharacteristic
638C2×D67—23no—
639C2×D67—23no—
640C2×D67—23no—
641C2×D67—26no—
642C2×D67—23no—
643C2×D67—26no—
644C2×D67—26no—
645C2×D67—23no—
646C2×D67—412no—
647C2×D67—812no—
648C2×D67C22×#4116yes—
649C4×C67—23no—
650C4×C67—26no—
651C4×C67—23no—
652C4×C67—26no—
653C4×C67—23no—
654C4×C67—21no—
655C4×C67—22no—
656C4×C67C22×#4116yes—
657C4×C67#58512yes—
658Dic67—21no—
659Dic67—22no—
660Dic67—22no—
661Dic67—23no—
662Dic67—26no—
663Dic67—23no—
664Dic67—21no—
665Dic67—21no—
666Dic67C22×#4112yes—
667#62816—671nomaximal, Sylow
668C2×C67—22no—
669C2×C67—42no—
670C2×C67C23×#4111yescharacteristic
671C2×C67C2×#58511yescharacteristic
672C2×C67C2×#58511yescharacteristic
673D67—26no—
674D67—43no—
675D67—46no—
676#3524—672no—
677#3523D6711yescharacteristic, complemented
678#3522—671no—
679#3521—676no—
680#3520—673no—
681#3519—673no—
682#3518—671no—
683#3517—671no—
684#3516—672no—
685#3515—673no—
686#3514—673no—
687#3513—676no—
688#3480—673no—
689Q8×#41—671no—
690#3475—673no—
691#3475—676no—
692D4×#41—671no—
693D4×#41—672no—
694#3455—676no—
695#3444—673no—
696C2×#529—673no—
697#3428—672no—
698C2×C4×#41—671no—
699C67#6281611yescharacteristic, complemented, Sylow
700C22×#41—671no—
701C22×#41—672no—
702#559—676no—
703#559—673no—
704Q82—671no—
705#557—672no—
706#557C2×D6711yescharacteristic, complemented
707#557C2×D6713yescomplemented
708#556—676no—
709#556—673no—
710#556—676no—
711#556C2×D6713yescomplemented
712#555—673no—
713#555—676no—
714#554—676no—
715#554—676no—
716#554—673no—
717#554—673no—
718#553—676no—
719#553—6712no—
720#553—676no—
721#553—676no—
722#553—676no—
723#552—6712no—
724#552—676no—
725#552—676no—
726#552—676no—
727#552C2×D6716yescomplemented
728#551—6712no—
729#551—6712no—
730#551—6712no—
731#550—671no—
732#550—672no—
733#550—673no—
734D4×Q8—673no—
735D4×Q8C2×D6712yescomplemented
736D4×Q8C2×D6711yescharacteristic, complemented
737#548—672no—
738#548—672no—
739#548—672no—
740#548—676no—
741#547—673no—
742#547—676no—
743#547—673no—
744#547—676no—
745#546—676no—
746#546—6712no—
747#546—676no—
748#546—676no—
749#546—676no—
750D42—676no—
751D42—673no—
752#542—676no—
753#542—676no—
754#542—676no—
755#542—676no—
756#541—676no—
757#541C2×D6716yescomplemented
758#540—676no—
759#540—676no—
760#539—6712no—
761#539—6712no—
762#538—6712no—
763#538—6712no—
764#533—673no—
765#533—673no—
766#533—676no—
767#533C2×D6713yescomplemented
768#532—673no—
769#532—673no—
770#532—676no—
771#532—673no—
772#529—676no—
773#529—6712no—
774#529—673no—
775#529—676no—
776#529—676no—
777#529—6712no—
778#529—673no—
779#529—676no—
780#529—673no—
781#529—676no—
782#529—671no—
783#529—673no—
784#529—676no—
785#529—676no—
786#529—676no—
787#529—673no—
788#529—676no—
789#529—673no—
790#529C2×D6713yes—
791C2×#126—676no—
792C2×#125—673no—
793C2×#124—673no—
794#525—676no—
795#525—676no—
796#525—676no—
797#525—676no—
798#525—676no—
799C2×#123—676no—
800C2×C22⋊Q8—673no—
801C2×#121—673no—
802#520—676no—
803#520—672no—
804#520—676no—
805#520—672no—
806#519—672no—
807#519C2×D6712yescomplemented
808#518—676no—
809#518—676no—
810C4×#41—671no—
811C4×#41—671no—
812C4×#41—673no—
813C4×#41—673no—
814C4×#41—673no—
815C4×#41—671no—
816C4×#41—673no—
817C4×#41—671no—
818C4×#41—676no—
819C4×#41—672no—
820C4×#41—676no—
821C4×#41—676no—
822C4×#41—676no—
823C2×C4×Q8—671no—
824C2×C4×Q8—673no—
825C2×C4×Q8C2×D6711yescharacteristic, complemented
826C2×C4×D4—676no—
827C2×C4×D4—673no—
828C2×C4×D4—673no—
829C2×C4×D4—673no—
830C2×#117—676no—
831C2×#117—676no—
832C2×#117—673no—
833C22×C42—673no—
834C2×#41—676no—
835C2×#41—671no—
836C2×#41—673no—
837C2×#41—676no—
838C2×#41—673no—
839C2×#41—671no—
840C2×#41—676no—
841C2×#41—672no—
842C2×#41—676no—
843C2×#41—1348no—
844C2×#41—13416no—
845C22×Q8—673no—
846C22×Q8C22×D6711yescharacteristic
847C22×Q8C22×D6712yes—
848C22×D4—676no—
849C22×D4—673no—
850C22×D4—673no—
851C22×D4—676no—
852C23×C4—673no—
853C23×C4—673no—
854C23×C4—676no—
855C23×C4—673no—
856C4⋊Q8—676no—
857C4⋊Q8—676no—
858C4⋊Q8—673no—
859C4⋊Q8C22×D6713yes—
860C4⋊Q8C22×D6713yes—
861C4⋊Q8C22×D6716yes—
862#127—673no—
863#127—676no—
864#126—676no—
865#126—676no—
866#126—676no—
867#126—6712no—
868#126—6712no—
869#126—6712no—
870#126—672no—
871#126—676no—
872#126—676no—
873#126—676no—
874#126—6712no—
875#126C22×D6716yes—
876#126C22×D67112yes—
877#125—671no—
878#125—673no—
879#125—676no—
880#125—676no—
881#125—676no—
882#125—6712no—
883#125—673no—
884#125—676no—
885#125C22×D6713yes—
886#125C22×D6716yes—
887#125C22×D67112yes—
888#125C22×D6716yes—
889#124—673no—
890#124—676no—
891#124—676no—
892#124—676no—
893#124—671no—
894#124—676no—
895#124—676no—
896#124—6712no—
897#124—673no—
898#124—676no—
899#124—6712no—
900#124C22×D6713yes—
901#123—672no—
902#123—676no—
903#123—676no—
904#123—676no—
905#123—6712no—
906#123—6712no—
907#123—6712no—
908#123—6712no—
909#123—6712no—
910#123—6712no—
911#123—6712no—
912#123—676no—
913#123—676no—
914#123—676no—
915#123—6712no—
916#123C22×D6716yes—
917C22⋊Q8—673no—
918C22⋊Q8—676no—
919C22⋊Q8—676no—
920C22⋊Q8—676no—
921C22⋊Q8—676no—
922C22⋊Q8—671no—
923C22⋊Q8—676no—
924C22⋊Q8—673no—
925C22⋊Q8—676no—
926C22⋊Q8—676no—
927C22⋊Q8—6712no—
928C22⋊Q8—6712no—
929C22⋊Q8—6712no—
930C22⋊Q8—6712no—
931C22⋊Q8—676no—
932C22⋊Q8C22×D6713yes—
933C22⋊Q8C22×D6716yes—
934C22⋊Q8C22×D6716yes—
935C22⋊Q8C22×D6716yes—
936#121—676no—
937#121—673no—
938#121—673no—
939#121—676no—
940#121—676no—
941#121—676no—
942#121—673no—
943#121—676no—
944#121—676no—
945#121—676no—
946#121—676no—
947#121—676no—
948#121—676no—
949#121—6712no—
950#121—6712no—
951#121—6712no—
952#121—676no—
953#121—6712no—
954#121C22×D6711yescharacteristic
955#120—6712no—
956#120—6712no—
957#120—6712no—
958C4×Q8—671no—
959C4×Q8—673no—
960C4×Q8—673no—
961C4×Q8—671no—
962C4×Q8—673no—
963C4×Q8—676no—
964C4×Q8—672no—
965C4×Q8—676no—
966C4×Q8—671no—
967C4×Q8—676no—
968C4×Q8—676no—
969C4×Q8—676no—
970C4×Q8—673no—
971C4×Q8—676no—
972C4×Q8C22×D6713yes—
973C4×Q8C22×D6711yescharacteristic
974C4×Q8C22×D6713yes—
975C4×Q8C22×D6711yescharacteristic
976C4×Q8C22×D6713yes—
977C4×Q8C22×D6716yes—
978C4×Q8C22×D6712yes—
979C4×Q8C22×D6716yes—
980C4×Q8C22×D6716yes—
981C4×D4—671no—
982C4×D4—672no—
983C4×D4—676no—
984C4×D4—676no—
985C4×D4—676no—
986C4×D4—673no—
987C4×D4—673no—
988C4×D4—676no—
989C4×D4—673no—
990C4×D4—673no—
991C4×D4—676no—
992C4×D4—673no—
993C4×D4—676no—
994C4×D4—6712no—
995C4×D4—676no—
996C4×D4—676no—
997C4×D4—6712no—
998C4×D4—676no—
999C4×D4—6712no—
1000C4×D4—676no—
1001C4×D4—676no—
1002C4×D4—676no—
1003C4×D4—676no—
1004C4×D4—676no—
1005C4×D4—6712no—
1006C4×D4—673no—
1007C4×D4—676no—
1008C4×D4—673no—
1009C4×D4—673no—
1010C4×D4—676no—
1011C4×D4—673no—
1012C4×D4—673no—
1013C4×D4—676no—
1014C4×D4—6712no—
1015C4×D4—676no—
1016C4×D4—676no—
1017C4×D4—6712no—
1018C4×D4—676no—
1019C4×D4—6712no—
1020C4×D4—676no—
1021C4×D4C22×D6716yes—
1022C4×D4C22×D6713yes—
1023#117—676no—
1024#117—676no—
1025#117—673no—
1026#117—676no—
1027#117—673no—
1028#117—676no—
1029#117—676no—
1030#117—676no—
1031#117—676no—
1032#117—673no—
1033#117—673no—
1034#117—676no—
1035#117—6712no—
1036#117—676no—
1037#117—672no—
1038#117—676no—
1039#117—676no—
1040#117—6712no—
1041#117—6712no—
1042#117C22×D6716yes—
1043#117C22×D6716yes—
1044#117C22×D6716yes—
1045C2×C4⋊C4—673no—
1046C2×C4⋊C4—676no—
1047C2×C4⋊C4—676no—
1048C2×C4⋊C4—676no—
1049C2×C4⋊C4—676no—
1050C2×C4⋊C4—673no—
1051C2×C4⋊C4—676no—
1052C2×C4⋊C4—673no—
1053C2×C4⋊C4—676no—
1054C2×C4⋊C4C22×D6713yes—
1055C2×C22⋊C4—676no—
1056C2×C22⋊C4—676no—
1057C2×C22⋊C4—676no—
1058C2×C22⋊C4—6712no—
1059C2×C22⋊C4—676no—
1060C2×C22⋊C4—676no—
1061C2×C22⋊C4—676no—
1062C2×C42—673no—
1063C2×C42—673no—
1064C2×C42—671no—
1065C2×C42—673no—
1066C2×C42—676no—
1067C2×C42—6712no—
1068C2×C42—673no—
1069C2×C42—673no—
1070C2×C42—673no—
1071C2×C42—673no—
1072C2×C42—673no—
1073C2×C42—673no—
1074C2×C42—673no—
1075C2×C42C22×D6713yes—
1076C24—676no—
1077C24—673no—
1078#41—26812no—
1079#41—26812no—
1080#41—678no—
1081#41—13412no—
1082#41—13424no—
1083#41—13412no—
1084#41—13424no—
1085#41—1344no—
1086#41—1348no—
1087C2×Q8—24no—
1088C2×Q8—28no—
1089C2×Q8—2686no—
1090C2×Q8—676no—
1091C2×Q8—676no—
1092C2×Q8—671no—
1093C2×Q8C23×D6713yes—
1094C2×Q8C23×D6716yes—
1095C2×Q8C23×D6713yes—
1096C2×Q8C23×D6711yescharacteristic
1097C2×D4—26812no—
1098C2×D4—2686no—
1099C2×D4—676no—
1100C2×D4—676no—
1101C2×D4—676no—
1102C2×D4—676no—
1103C2×D4—6712no—
1104C2×D4—676no—
1105C2×D4—673no—
1106C2×D4—676no—
1107C2×D4—6712no—
1108C2×D4—673no—
1109C2×D4—676no—
1110C2×D4—673no—
1111C2×D4—13412no—
1112C2×D4—13424no—
1113C2×D4C23×D6712yes—
1114C2×D4C23×D6711yescharacteristic
1115C22×C4—2686no—
1116C22×C4—2686no—
1117C22×C4—673no—
1118C22×C4—673no—
1119C22×C4—673no—
1120C22×C4—673no—
1121C22×C4—673no—
1122C22×C4—673no—
1123C22×C4—673no—
1124C22×C4—676no—
1125C22×C4—676no—
1126C22×C4—6712no—
1127C22×C4—6712no—
1128C22×C4—673no—
1129C22×C4—671no—
1130C22×C4—671no—
1131C22×C4—672no—
1132C22×C4—673no—
1133C22×C4—673no—
1134C22×C4—676no—
1135C22×C4—673no—
1136C22×C4—673no—
1137C22×C4—673no—
1138C22×C4—676no—
1139C22×C4—676no—
1140C22×C4—13412no—
1141C22×C4—13424no—
1142C22×C4C23×D6711yescharacteristic
1143C22×C4C23×D6713yes—
1144C22×C4C23×D6713yes—
1145C22×C4C23×D6716yes—
1146C4⋊C4—673no—
1147C4⋊C4—672no—
1148C4⋊C4—676no—
1149C4⋊C4—676no—
1150C4⋊C4—672no—
1151C4⋊C4—671no—
1152C4⋊C4—672no—
1153C4⋊C4—672no—
1154C4⋊C4—673no—
1155C4⋊C4—676no—
1156C4⋊C4—673no—
1157C4⋊C4—676no—
1158C4⋊C4—676no—
1159C4⋊C4—676no—
1160C4⋊C4—676no—
1161C4⋊C4—676no—
1162C4⋊C4—676no—
1163C4⋊C4—676no—
1164C4⋊C4—676no—
1165C4⋊C4—676no—
1166C4⋊C4—6712no—
1167C4⋊C4C23×D6711yescharacteristic
1168C4⋊C4C23×D6713yes—
1169C4⋊C4C23×D6713yes—
1170C4⋊C4C23×D6716yes—
1171C4⋊C4C23×D6716yes—
1172C4⋊C4C23×D6716yes—
1173C4⋊C4C23×D6716yes—
1174C4⋊C4C23×D6716yes—
1175C4⋊C4C23×D6713yes—
1176C4⋊C4C23×D6716yes—
1177C4⋊C4C23×D67112yes—
1178C4⋊C4C23×D6716yes—
1179C4⋊C4C23×D6716yes—
1180C22⋊C4—676no—
1181C22⋊C4—672no—
1182C22⋊C4—672no—
1183C22⋊C4—672no—
1184C22⋊C4—672no—
1185C22⋊C4—676no—
1186C22⋊C4—676no—
1187C22⋊C4—6712no—
1188C22⋊C4—676no—
1189C22⋊C4—676no—
1190C22⋊C4—676no—
1191C22⋊C4—676no—
1192C22⋊C4—676no—
1193C22⋊C4—676no—
1194C22⋊C4—676no—
1195C22⋊C4—676no—
1196C22⋊C4—676no—
1197C22⋊C4—676no—
1198C22⋊C4—676no—
1199C22⋊C4—676no—
1200C22⋊C4—6712no—
1201C22⋊C4—6712no—
1202C22⋊C4—6712no—
1203C22⋊C4C23×D6712yes—
1204C22⋊C4C23×D6716yes—
1205C22⋊C4C23×D6716yes—
1206C22⋊C4C23×D6716yes—
1207C22⋊C4C23×D6716yes—
1208C42—673no—
1209C42—671no—
1210C42—671no—
1211C42—671no—
1212C42—671no—
1213C42—673no—
1214C42—672no—
1215C42—673no—
1216C42—676no—
1217C42—673no—
1218C42—673no—
1219C42—673no—
1220C42—673no—
1221C42—673no—
1222C42—6712no—
1223C42—676no—
1224C42C23×D6713yes—
1225C42C23×D6713yes—
1226C42C23×D6713yes—
1227C42C23×D6713yes—
1228C42C23×D67112yes—
1229C42C23×D6716yes—
1230C23—2683no—
1231C23—2686no—
1232C23—2686no—
1233C23—673no—
1234C23—673no—
1235C23—676no—
1236C23—1346no—
1237C23—13412no—
1238C23—1346no—
1239C23C24×D6712yes—
1240C23C24×D6711yescharacteristic
1241Q8—26no—
1242Q8—212no—
1243Q8—26no—
1244Q8—2686no—
1245Q8—2686no—
1246Q8—1342no—
1247Q8#41×D6714yes—
1248D4—24no—
1249D4—22no—
1250D4—2686no—
1251D4—2686no—
1252D4—26812no—
1253D4—2686no—
1254D4—2686no—
1255D4—6712no—
1256D4—13412no—
1257D4—13424no—
1258D4—13412no—
1259D4—1346no—
1260D4—13412no—
1261D4—1346no—
1262C2×C4—26no—
1263C2×C4—26no—
1264C2×C4—212no—
1265C2×C4—22no—
1266C2×C4—2683no—
1267C2×C4—2683no—
1268C2×C4—2683no—
1269C2×C4—2683no—
1270C2×C4—2683no—
1271C2×C4—2683no—
1272C2×C4—2686no—
1273C2×C4—2686no—
1274C2×C4—26812no—
1275C2×C4—26812no—
1276C2×C4—2683no—
1277C2×C4—671no—
1278C2×C4—6712no—
1279C2×C4—671no—
1280C2×C4—671no—
1281C2×C4—673no—
1282C2×C4—671no—
1283C2×C4—672no—
1284C2×C4—676no—
1285C2×C4—673no—
1286C2×C4—672no—
1287C2×C4—1346no—
1288C2×C4—13412no—
1289C2×C4—1346no—
1290C2×C4—13412no—
1291C2×C4—1342no—
1292C2×C4—1344no—
1293C2×C4—1342no—
1294C2×C4—1346no—
1295C2×C4—13412no—
1296C2×C4—1346no—
1297C2×C4—1346no—
1298C2×C4C24×D6711yescharacteristic
1299C2×C4C24×D6713yes—
1300C2×C4C24×D6713yes—
1301C2×C4C24×D6716yes—
1302C2×C4C24×D6713yes—
1303C2×C4C24×D6716yes—
1304C2×C4C24×D6712yes—
1305C2×C4C24×D6713yes—
1306C2×C4C24×D6711yescharacteristic
1307C22—21no—
1308C22—21no—
1309C22—22no—
1310C22—22no—
1311C22—22no—
1312C22—26812no—
1313C22—53612no—
1314C22—676no—
1315C22—1343no—
1316C22—1346no—
1317C22—1343no—
1318C22—1346no—
1319C22—1346no—
1320C22—1343no—
1321C22—1343no—
1322C22—1343no—
1323C22#1686423312yes—
1324C22C25×D6711yescharacteristic
1325C4—23no—
1326C4—26no—
1327C4—23no—
1328C4—21no—
1329C4—23no—
1330C4—22no—
1331C4—26no—
1332C4—672no—
1333C4—1341no—
1334C4—1342no—
1335C4—1341no—
1336C4—1341no—
1337C4—1343no—
1338C4—1346no—
1339C4—1342no—
1340C4—1343no—
1341C4C2×#41×D6716yes—
1342C4#1686423312yes—
1343C2—22no—
1344C2—42no—
1345C2—2683no—
1346C2—2686no—
1347C2—1346no—
1348C2C22×#41×D6711yescharacteristic
1349C2C2×#1686423311yescharacteristic
1350C2C2×#1686423311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D67
commutator, socle, cosocleC22×C67C26
FittingC67×#3523C2
hypercenter#3523D67
hypocenterC67#62816
LCSG ▷ C22×C67 ▷ C67
UCSC1 ◁ C22 ◁ #3523

Complements

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

NH ≅ G/Ntype
1. #22574320C2semidirect
2. #22574294C2semidirect
3. #22574283C2semidirect
4. #22574253C2semidirect
5. #22574243C2semidirect
6. #22574221C2semidirect
7. #22574216C2semidirect
8. #22574203C2semidirect
9. #22574186C2semidirect
10. #22574173C2semidirect
11. #22574154C2semidirect
12. #22573809C2semidirect
13. #22573791C2semidirect
14. #22573770C2semidirect
15. #22573762C2semidirect
16. D4×#11761629C2semidirect
17. D4×#11761629C2semidirect
18. #22573600C2semidirect
19. #22573506C2semidirect
20. #529×D67C2semidirect
21. #22573411C2semidirect
22. C2×C4×#11761629C2semidirect
23. C67×#3523C2semidirect
26. #16864131C22semidirect
27. #16864131C22semidirect
28. Q8×Dic134C22semidirect
29. #16864122C22semidirect
30. #16864120C22semidirect
31. #16864120C22semidirect
32. #16864117C22semidirect
33. #16864111C22semidirect
34. #16864109C22semidirect
35. #16864106C22semidirect
36. #16864106C22semidirect
37. #16864104C22semidirect
38. #16864102C22semidirect
39. #16864099C22semidirect
40. #16864099C22semidirect
41. #16864099C22semidirect
42. #16864092C22semidirect
43. #16864090C22semidirect
44. #16864087C22semidirect
45. #16864087C22semidirect
46. #16864080C22semidirect
47. #16864078C22semidirect
48. #16864071C22semidirect
49. #16864071C22semidirect
50. #16864070C22semidirect
51. #16864068C22semidirect
52. #16864068C22semidirect
53. #16864068C22semidirect
54. #16864061C22semidirect
55. #16864058C22semidirect
56. #16864057C22semidirect
57. #16864057C22semidirect
58. #16864057C22semidirect
59. #16864049C22semidirect
60. #16864049C22semidirect
61. #16864049C22semidirect
62. #16864047C22semidirect
63. #16864039C22semidirect
64. #16864038C22semidirect
65. #16864037C22semidirect
66. #16864037C22semidirect
67. #16864037C22semidirect
68. D4×D268C22semidirect
69. D4×D268C22semidirect
70. #16864019C22semidirect
71. #16864019C22semidirect
72. #16864018C22semidirect
73. #16864018C22semidirect
74. #16864007C22semidirect
75. #16864002C22semidirect
76. #16864001C22semidirect
77. #16863994C22semidirect
78. #16863994C22semidirect
79. #16863985C22semidirect
80. #16863985C22semidirect
81. #16863952C22semidirect
82. #16863951C22semidirect
83. #16863951C22semidirect
84. #16863947C22semidirect
85. #16863947C22semidirect
86. #16863947C22semidirect
87. #16863946C22semidirect
88. #16863933C22semidirect
89. #16863933C22semidirect
90. #16863933C22semidirect
91. #16863932C22semidirect
92. #16863932C22semidirect
93. #16863931C22semidirect
94. #16863931C22semidirect
95. #16863931C22semidirect
96. #16863931C22semidirect
97. #16863930C22semidirect
98. #16863929C22semidirect
99. #16863929C22semidirect
100. #16863928C22semidirect
102. #16863926C22semidirect
103. #16863925C22semidirect
104. #16863924C22semidirect
105. #16863923C22semidirect
106. #126×D67C22semidirect
107. #125×D67C22semidirect
108. #124×D67C22semidirect
109. #16863909C22semidirect
110. #16863909C22semidirect
111. #16863909C22semidirect
112. #16863909C22semidirect
113. #16863908C22semidirect
114. #123×D67C22semidirect
115. C22⋊Q8×D67C22semidirect
117. #16863878C22semidirect
118. #16863878C22semidirect
119. #16863878C22semidirect
120. #16863878C22semidirect
121. #16863874C22semidirect
122. #16863870C22semidirect
123. #16863870C22semidirect
127. C4×#11761629C22semidirect
128. C4×#11761629C22semidirect
129. C4×#11761629C22semidirect
130. C4×#11761629C22semidirect
131. C4×#11761629C22semidirect
132. C4×#11761629C22semidirect
133. C4×#11761629C22semidirect
134. C4×#11761629C22semidirect
135. C4×#11761629C22semidirect
136. #16863864C22semidirect
137. C2×Q8×Dic67C22semidirect
138. C4×Q8×D67C22semidirect
139. C2×C4×D268C22semidirect
140. C2×#14524005C22semidirect
141. C4×D4×D67C22semidirect
142. C4×D4×D67C22semidirect
143. C2×#14524001C22semidirect
144. #117×D67C22semidirect
145. #117×D67C22semidirect
146. C2×C42×D67C22semidirect
147. #557×C67C22semidirect
148. #557×C67C22semidirect
149. #556×C67C22semidirect
150. #552×C67C22semidirect
151. D4×Q8×C67C22semidirect
152. D4×Q8×C67C22semidirect
153. #541×C67C22semidirect
154. #533×C67C22semidirect
156. #519×C67C22semidirect
157. C2×C4×Q8×C67C22semidirect
409. #11761629#41semidirect
677. #3523D67semidirect
699. C67#62816semidirect
706. #557C2×D67semidirect
707. #557C2×D67semidirect
711. #556C2×D67semidirect
727. #552C2×D67semidirect
735. D4×Q8C2×D67semidirect
736. D4×Q8C2×D67semidirect
757. #541C2×D67semidirect
767. #533C2×D67semidirect
807. #519C2×D67semidirect
825. C2×C4×Q8C2×D67semidirect

Maximal subgroups

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

subgroupindex
#225743202
#225742942
#225742832
#225742532
#225742432
#225742212
#225742162
#225742032
#225741862
#225741732
#225741542
#225738092
#225737912
#225737702
#225737622
D4×#117616292
#225736002
#225735062
#529×D672
#225734112
C2×C4×#117616292
C67×#35232
#6281667