Finite Group Databasebeta

← #30875304

Subgroups — #30875304

Order 17152.

740 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22568875C211yesmaximal, characteristic, complemented
2#22568777C211yesmaximal, characteristic, complemented
3#22560922C211yesmaximal, characteristic, complemented
4#22560915C211yesmaximal, characteristic, complemented
5#22560810C211yesmaximal, characteristic, complemented
6#22560810C211yesmaximal, characteristic, complemented
7#22560538C211yesmaximal, characteristic
8#22560538C211yesmaximal, characteristic
9#22560350C211yesmaximal, characteristic, complemented
10#22560229C211yesmaximal, characteristic, complemented
11#22560229C211yesmaximal, characteristic, complemented
12#22560081C211yesmaximal, characteristic, complemented
13#22560056C211yesmaximal, characteristic, complemented
14#22560049C211yesmaximal, characteristic, complemented
15C67×#2943C211yesmaximal, characteristic
16C2×#14524050C2211yescharacteristic
17C2×#14524050C2211yescharacteristic
18#16863457—21no—
19#16863457—21no—
20#16863453—21no—
21#16863449—21no—
22#16863423—21no—
23#16863423—21no—
24#16863423C2211yescharacteristic
25#16863423C2211yescharacteristic
26#16863420—21no—
27#16863420C2211yescharacteristic
28#16863420C2211yescharacteristic
29C2×C4⋊(C67⋊C8)—21no—
30C2×C4⋊(C67⋊C8)C2211yescharacteristic
31C2×#14523970C2211yescharacteristic
32C2×#14523970C2211yescharacteristic
33C2×#14523970C2211yescharacteristic
34C2×#14523970C2211yescharacteristic
35#16863363C2211yescharacteristic
36#16863363C2211yescharacteristic
37#16863352C2211yescharacteristic
38#16863352C2211yescharacteristic
39C2×#14523953C2211yescharacteristic
40C2×C8×Dic67C2211yescharacteristic
41C4×C4⋊Dic67C2211yescharacteristic
42#16863161C2211yescharacteristic
43#16863161C2211yescharacteristic
44#16863161C2211yescharacteristic
45#16863161C2211yescharacteristic
46#16863155C2211yescharacteristic
47#16863155C2211yescharacteristic
48#16863155C2211yescharacteristic
49#16863155C2211yescharacteristic
50#16863150C2211yescharacteristic
51#16863150C2211yescharacteristic
52C2×#135×C67C2211yescharacteristic
53C4×#41×C67C2211yescharacteristic
54C4×#41×C67C2211yescharacteristic
55#442×C67C411yescharacteristic, complemented
56#442×C67C411yescharacteristic, complemented
57#441×C67C411yescharacteristic, complemented
58#441×C67C411yescharacteristic, complemented
59#440×C67C411yescharacteristic, complemented
60#440×C67C411yescharacteristic, complemented
61#440×C67C411yescharacteristic, complemented
62#440×C67C411yescharacteristic, complemented
63#427×C67C2211yescharacteristic
64#416×C67C2211yescharacteristic
65#416×C67C2211yescharacteristic
66C2×#97×C67C2211yescharacteristic
67#14524050—22no—
68#14524050—22no—
69#14524050—41no—
70#14524050—41no—
71C2×#11761612—21no—
72C2×#11761612—21no—
73C2×#11761612C2311yescharacteristic
74C2×#11761612C2311yescharacteristic
75C2×#11761612C2311yescharacteristic
76C2×#11761612C2311yescharacteristic
77C22×C67⋊C8—21no—
78C22×C67⋊C8—21no—
79C22×C67⋊C8C2311yescharacteristic
80C22×C67⋊C8C2311yescharacteristic
81C2×C4⋊Dic67—21no—
82C2×C4×Dic67C2311yescharacteristic
83C2×C4×Dic67C2311yescharacteristic
84C4⋊(C67⋊C8)—21no—
85C4⋊(C67⋊C8)—21no—
86C4⋊(C67⋊C8)—21no—
87C4⋊(C67⋊C8)—21no—
88C4⋊(C67⋊C8)—21no—
89C4⋊(C67⋊C8)—21no—
90C4⋊(C67⋊C8)—21no—
91C4⋊(C67⋊C8)—21no—
92C4⋊(C67⋊C8)D411yescharacteristic
93C4⋊(C67⋊C8)D411yescharacteristic
94C4⋊(C67⋊C8)D411yescharacteristic
95C4⋊(C67⋊C8)D411yescharacteristic
96#14523970—22no—
97#14523970—22no—
98#14523970—41no—
99#14523970—41no—
100C22⋊(C67⋊C8)—21no—
101C22⋊(C67⋊C8)—21no—
102C22⋊(C67⋊C8)—21no—
103C22⋊(C67⋊C8)—21no—
104#14523954—21no—
105#14523954—21no—
106#14523953—41no—
107C4×C67⋊C8—21no—
108C4×C67⋊C8—21no—
109C8×Dic67—41no—
110C67⋊#95—21no—
111C2×#41×C67C2311yescharacteristic
112C2×#41×C67C2311yescharacteristic
113#135×C67—22no—
114#135×C67—22no—
115C2×Q16×C67C2×C411yescharacteristic
116C2×SD16×C67C2×C411yescharacteristic
117C2×SD16×C67C2×C411yescharacteristic
118C2×D8×C67C2×C411yescharacteristic
119C22×C8×C67C2311yescharacteristic
120C22×C8×C67C2311yescharacteristic
121C4×Q8×C67C2×C411yescharacteristic
122C4×Q8×C67C2×C411yescharacteristic
123C4×Q8×C67C2×C411yescharacteristic
124C4×Q8×C67C2×C411yescharacteristic
125C4×D4×C67—21no—
126C4×D4×C67—21no—
127C4×D4×C67—21no—
128C4×D4×C67—21no—
129C4×D4×C67C2×C411yescharacteristic
130C4×D4×C67C2×C411yescharacteristic
131C4×D4×C67C2×C411yescharacteristic
132C4×D4×C67C2×C411yescharacteristic
133#117×C67—21no—
134#117×C67—21no—
135#117×C67C2311yescharacteristic
136#117×C67C2311yescharacteristic
137C2×C42×C67—21no—
138C2×C42×C67—21no—
139C2×C42×C67C2311yescharacteristic
140#107×C67C2×C411yescharacteristic
141#107×C67C2×C411yescharacteristic
142#106×C67C2×C411yescharacteristic
143#106×C67C2×C411yescharacteristic
144#103×C67C2×C411yescharacteristic
145#103×C67C2×C411yescharacteristic
146#103×C67C2×C411yescharacteristic
147#103×C67C2×C411yescharacteristic
148#102×C67C2×C411yescharacteristic
149#102×C67C2×C411yescharacteristic
150#102×C67C2×C411yescharacteristic
151#102×C67C2×C411yescharacteristic
152#97×C67C2×C411yescharacteristic
153#97×C67C2×C411yescharacteristic
154#97×C67C2×C411yescharacteristic
155#97×C67C2×C411yescharacteristic
156C22×Dic67—21no—
157C22×Dic67—21no—
158#11761612—21no—
159#11761612—21no—
160#11761612—21no—
161#11761612—21no—
162#11761612—21no—
163#11761612—21no—
164#11761612—21no—
165#11761612—21no—
166#11761612—42no—
167#11761612—42no—
168C2×C67⋊C8—21no—
169C2×C67⋊C8—21no—
170C2×C67⋊C8—21no—
171C2×C67⋊C8—21no—
172C2×C67⋊C8—21no—
173C2×C67⋊C8—21no—
174C2×C67⋊C8—21no—
175C2×C67⋊C8—21no—
176C2×C67⋊C8—42no—
177C2×C67⋊C8—42no—
178C2×C67⋊C8C2×D411yescharacteristic
179C2×C67⋊C8C2×D411yescharacteristic
180C2×C67⋊C8C2×D411yescharacteristic
181C2×C67⋊C8C2×D411yescharacteristic
182C4⋊Dic67—42no—
183C4×Dic67—21no—
184C4×Dic67—21no—
185C4×Dic67—21no—
186C4×Dic67—21no—
187#41×C67—21no—
188#41×C67—21no—
189#41×C67—21no—
190#41×C67—21no—
191#41×C67—21no—
192#41×C67—21no—
193#41×C67#4112yes—
194#41×C67#4112yes—
195C2×Q8×C67C22×C411yescharacteristic
196C2×Q8×C67C22×C411yescharacteristic
197C2×D4×C67—21no—
198C2×D4×C67—21no—
199C2×D4×C67C22×C411yescharacteristic
200C2×D4×C67C22×C411yescharacteristic
201C22×C4×C67—21no—
202C22×C4×C67—21no—
203C22×C4×C67—21no—
204C22×C4×C67—21no—
205C22×C4×C67—21no—
206C22×C4×C67—21no—
207C22×C4×C67#4111yescharacteristic
208C22×C4×C67#4111yescharacteristic
209C22×C4×C67C2411yescharacteristic
210Q16×C67—22no—
211SD16×C67—22no—
212SD16×C67—22no—
213D8×C67—22no—
214C2×C8×C67—21no—
215C2×C8×C67—21no—
216C2×C8×C67—21no—
217C2×C8×C67—21no—
218C2×C8×C67C22×C411yescharacteristic
219C2×C8×C67C22×C411yescharacteristic
220C2×C8×C67C22×C411yescharacteristic
221C2×C8×C67C22×C411yescharacteristic
222C4⋊C4×C67—21no—
223C4⋊C4×C67—21no—
224C4⋊C4×C67—21no—
225C4⋊C4×C67—21no—
226C4⋊C4×C67C22×C411yescharacteristic
227C4⋊C4×C67C22×C411yescharacteristic
228C4⋊C4×C67C22×C411yescharacteristic
229C4⋊C4×C67C22×C411yescharacteristic
230C22⋊C4×C67—21no—
231C22⋊C4×C67—21no—
232C22⋊C4×C67—21no—
233C22⋊C4×C67—21no—
234C22⋊C4×C67—21no—
235C22⋊C4×C67—21no—
236C42×C67—21no—
237C42×C67—21no—
238C42×C67—21no—
239C42×C67—21no—
240C42×C67—21no—
241C42×C67—21no—
242C42×C67C22×C411yescharacteristic
243C42×C67C22×C411yescharacteristic
244C42×C67C2×D411yescharacteristic
245C42×C67C2×D411yescharacteristic
246C23×C67—21no—
247C23×C67—21no—
248C23×C67C2×#4111yescharacteristic
249Q8×C67—21no—
250Q8×C67—21no—
251Q8×C67—21no—
252Q8×C67#11712yes—
253D4×C67—22no—
254D4×C67—22no—
255D4×C67—21no—
256D4×C67—21no—
257D4×C67—21no—
258D4×C67—41no—
259D4×C67—41no—
260D4×C67#11712yes—
261C2×C4×C67—21no—
262C2×C4×C67—22no—
263C2×C4×C67—22no—
264C2×C4×C67—21no—
265C2×C4×C67—21no—
266C2×C4×C67—21no—
267C2×C4×C67—21no—
268C2×C4×C67—21no—
269C2×C4×C67—41no—
270C2×C4×C67—41no—
271C2×C4×C67—42no—
272C2×C4×C67—42no—
273C2×C4×C67—41no—
274C2×C4×C67—41no—
275C2×C4×C67—81no—
276C2×C4×C67—81no—
277C2×C4×C67C4×D411yescharacteristic
278C2×C4×C67C4×D411yescharacteristic
279C2×C4×C67C4×D411yescharacteristic
280C2×C4×C67C4×D411yescharacteristic
281C2×C4×C67C23×C411yescharacteristic
282C2×C4×C67C22×D411yescharacteristic
283C2×C4×C67C2×#4111yescharacteristic
284C2×C4×C67C2×#4111yescharacteristic
285C2×C4×C67H(5,𝔽2)11yescharacteristic
286C2×C4×C672−1+411yescharacteristic
287C2×Dic67—22no—
288C2×Dic67—41no—
289C2×Dic67—41no—
290C2×Dic67—41no—
291C2×Dic67—41no—
292C2×Dic67—41no—
293C8×C67—21no—
294C8×C67—21no—
295C8×C67—21no—
296C8×C67—21no—
297C67⋊C8—21no—
298C67⋊C8—21no—
299C67⋊C8—21no—
300C67⋊C8—21no—
301C67⋊C8—41no—
302C67⋊C8—41no—
303C67⋊C8—41no—
304C67⋊C8—41no—
305C22×C67—21no—
306C22×C67—21no—
307C22×C67—22no—
308C22×C67—41no—
309C22×C67—41no—
310C22×C67—41no—
311C22×C67—41no—
312C22×C67—41no—
313C22×C67C2×C4×D411yescharacteristic
314C22×C67#55211yescharacteristic
315C22×C67#55311yescharacteristic
316C4×C67—22no—
317C4×C67—21no—
318C4×C67—21no—
319C4×C67—21no—
320C4×C67—21no—
321C4×C67—41no—
322C4×C67—41no—
323C4×C67—41no—
324C4×C67—41no—
325C4×C67—41no—
326C4×C67C2×#11711yescharacteristic
327C4×C67#52011yescharacteristic
328C4×C67#54611yescharacteristic
329C4×C67#54811yescharacteristic
330Dic67—42no—
331Dic67—81no—
332#22784—671nomaximal, Sylow
333C2×C67—21no—
334C2×C67—21no—
335C2×C67—42no—
336C2×C67—81no—
337C2×C67#235211yescharacteristic
338C2×C67#295511yescharacteristic
339C2×C67#295611yescharacteristic
340#2943D6711yescharacteristic
341#2925—671no—
342#2906—671no—
343#1938—671no—
344#1937—671no—
345#1922—671no—
346#1922—671no—
347#1876—671no—
348#1876—671no—
349#1838—671no—
350#1806—671no—
351#1806—671no—
352#1771—671no—
353#1765—671no—
354#1764—671no—
355C67#2278411yescharacteristic, complemented, Sylow
356C2×#135C2×D6711yescharacteristic
357C2×#131—671no—
358C2×#131—671no—
359C4×#41C2×D6711yescharacteristic
360C4×#41C2×D6711yescharacteristic
361#442Dic6711yescharacteristic, complemented
362#442Dic6711yescharacteristic, complemented
363#441Dic6711yescharacteristic, complemented
364#441Dic6711yescharacteristic, complemented
365#440Dic6711yescharacteristic, complemented
366#440Dic6711yescharacteristic, complemented
367#440Dic6711yescharacteristic, complemented
368#440Dic6711yescharacteristic, complemented
369#433—1341no—
370#433—1341no—
371#432—1341no—
372#431—1341no—
373#427C2×D6711yescharacteristic
374#424—671no—
375#424—671no—
376#424—1341no—
377#424—1341no—
378#423—671no—
379#423—671no—
380#423—1341no—
381C2×C4⋊C8—671no—
382C2×C4⋊C8—1341no—
383C2×#104—671no—
384C2×#104—671no—
385C2×#104—671no—
386C2×#104—671no—
387#416C2×D6711yescharacteristic
388#416C2×D6711yescharacteristic
389#408—671no—
390#408—671no—
391#405—671no—
392#405—671no—
393C2×#97—671no—
394C2×#97C2×D6711yescharacteristic
395C2×C4×C8—671no—
396C4×C4⋊C4—671no—
397#341—671no—
398#341—671no—
399#341—671no—
400#341—671no—
401#339—671no—
402#339—671no—
403#339—671no—
404#339—671no—
405#336—671no—
406#336—671no—
407C2×#41C22×D6711yescharacteristic
408C2×#41C22×D6711yescharacteristic
409#135—22no—
410#135—22no—
411C2×Q16C2×Dic6711yescharacteristic
412C2×SD16C2×Dic6711yescharacteristic
413C2×SD16C2×Dic6711yescharacteristic
414C2×D8C2×Dic6711yescharacteristic
415#131—2681no—
416#131—2681no—
417#131—1342no—
418#131—1342no—
419C2×M16—671no—
420C2×M16—671no—
421C2×M16—671no—
422C2×M16—671no—
423C2×M16—1341no—
424C2×M16—1341no—
425C22×C8—671no—
426C22×C8—671no—
427C22×C8—1341no—
428C22×C8—1341no—
429C22×C8C22×D6711yescharacteristic
430C22×C8C22×D6711yescharacteristic
431C4×Q8C2×Dic6711yescharacteristic
432C4×Q8C2×Dic6711yescharacteristic
433C4×Q8C2×Dic6711yescharacteristic
434C4×Q8C2×Dic6711yescharacteristic
435C4×D4—21no—
436C4×D4—21no—
437C4×D4—21no—
438C4×D4—21no—
439C4×D4C2×Dic6711yescharacteristic
440C4×D4C2×Dic6711yescharacteristic
441C4×D4C2×Dic6711yescharacteristic
442C4×D4C2×Dic6711yescharacteristic
443#117—21no—
444#117—21no—
445#117C22×D6711yescharacteristic
446#117C22×D6711yescharacteristic
447C2×C4⋊C4—1341no—
448C2×C42—21no—
449C2×C42—21no—
450C2×C42—671no—
451C2×C42—671no—
452C2×C42C22×D6711yescharacteristic
453#107C2×Dic6711yescharacteristic
454#107C2×Dic6711yescharacteristic
455#106C2×Dic6711yescharacteristic
456#106C2×Dic6711yescharacteristic
457C4⋊C8—671no—
458C4⋊C8—671no—
459C4⋊C8—671no—
460C4⋊C8—671no—
461C4⋊C8—1341no—
462C4⋊C8—1341no—
463C4⋊C8—1341no—
464C4⋊C8—1341no—
465C4⋊C8—1341no—
466C4⋊C8—1341no—
467C4⋊C8—1341no—
468C4⋊C8—1341no—
469#104—2681no—
470#104—2681no—
471#104—1342no—
472#104—1342no—
473#103C2×Dic6711yescharacteristic
474#103C2×Dic6711yescharacteristic
475#103C2×Dic6711yescharacteristic
476#103C2×Dic6711yescharacteristic
477#102C2×Dic6711yescharacteristic
478#102C2×Dic6711yescharacteristic
479#102C2×Dic6711yescharacteristic
480#102C2×Dic6711yescharacteristic
481C22⋊C8—1341no—
482C22⋊C8—1341no—
483C22⋊C8—1341no—
484C22⋊C8—1341no—
485#97—2681no—
486#97—1341no—
487#97—1341no—
488#97C2×Dic6711yescharacteristic
489#97C2×Dic6711yescharacteristic
490#97C2×Dic6711yescharacteristic
491#97C2×Dic6711yescharacteristic
492C4×C8—2681no—
493C4×C8—1341no—
494C4×C8—1341no—
495#95—1341no—
496#41—21no—
497#41—21no—
498#41—21no—
499#41—21no—
500#41—21no—
501#41—21no—
502#41#1176162812yes—
503#41#1176162812yes—
504C2×Q8C22×Dic6711yescharacteristic
505C2×Q8C22×Dic6711yescharacteristic
506C2×D4—21no—
507C2×D4—21no—
508C2×D4C22×Dic6711yescharacteristic
509C2×D4C22×Dic6711yescharacteristic
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—1341no—
517C22×C4—1341no—
518C22×C4#1176162711yescharacteristic
519C22×C4#1176162711yescharacteristic
520C22×C4C23×D6711yescharacteristic
521Q16—22no—
522SD16—22no—
523SD16—22no—
524D8—22no—
525M16—2682no—
526M16—2682no—
527M16—1341no—
528M16—1341no—
529M16—1341no—
530M16—1341no—
531M16—1341no—
532M16—1341no—
533M16—1341no—
534M16—1341no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—2682no—
540C2×C8—2682no—
541C2×C8—671no—
542C2×C8—671no—
543C2×C8—671no—
544C2×C8—671no—
545C2×C8—1341no—
546C2×C8—1341no—
547C2×C8—1341no—
548C2×C8—1341no—
549C2×C8—1341no—
550C2×C8—1341no—
551C2×C8—1341no—
552C2×C8—1341no—
553C2×C8C22×Dic6711yescharacteristic
554C2×C8C22×Dic6711yescharacteristic
555C2×C8C22×Dic6711yescharacteristic
556C2×C8C22×Dic6711yescharacteristic
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—2682no—
562C4⋊C4C22×Dic6711yescharacteristic
563C4⋊C4C22×Dic6711yescharacteristic
564C4⋊C4C22×Dic6711yescharacteristic
565C4⋊C4C22×Dic6711yescharacteristic
566C22⋊C4—21no—
567C22⋊C4—21no—
568C22⋊C4—21no—
569C22⋊C4—21no—
570C22⋊C4—21no—
571C22⋊C4—21no—
572C42—21no—
573C42—21no—
574C42—21no—
575C42—21no—
576C42—21no—
577C42—21no—
578C42—1341no—
579C42—1341no—
580C42—1341no—
581C42—1341no—
582C42C22×Dic6711yescharacteristic
583C42C22×Dic6711yescharacteristic
584C42D4×D6711yescharacteristic
585C42D4×D6711yescharacteristic
586C23—21no—
587C23—21no—
588C23C2×#1176162711yescharacteristic
589Q8—21no—
590Q8—21no—
591Q8—21no—
592Q8#1452400212yes—
593D4—22no—
594D4—22no—
595D4—21no—
596D4—21no—
597D4—21no—
598D4—41no—
599D4—41no—
600D4#1452400212yes—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—81no—
616C2×C4—81no—
617C2×C4—2681no—
618C2×C4—2681no—
619C2×C4—2681no—
620C2×C4—2681no—
621C2×C4—2681no—
622C2×C4—1342no—
623C2×C4D4×Dic6711yescharacteristic
624C2×C4D4×Dic6711yescharacteristic
625C2×C4D4×Dic6711yescharacteristic
626C2×C4D4×Dic6711yescharacteristic
627C2×C4C23×Dic6711yescharacteristic
628C2×C4C2×D4×D6711yescharacteristic
629C2×C4C2×#1176162811yescharacteristic
630C2×C4C2×#1176162811yescharacteristic
631C2×C4#1452408911yescharacteristic
632C2×C4#1452409011yescharacteristic
633C8—21no—
634C8—21no—
635C8—21no—
636C8—21no—
637C8—2681no—
638C8—2681no—
639C8—2681no—
640C8—2681no—
641C8—1341no—
642C8—1341no—
643C8—1341no—
644C8—1341no—
645C22—21no—
646C22—21no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22C2×D4×Dic6711yescharacteristic
654C22#1686408611yescharacteristic
655C22#1686409211yescharacteristic
656C4—22no—
657C4—21no—
658C4—21no—
659C4—21no—
660C4—21no—
661C4—41no—
662C4—41no—
663C4—41no—
664C4—41no—
665C4—41no—
666C4—2682no—
667C4—5361no—
668C4C2×#1452400211yescharacteristic
669C4#1686387911yescharacteristic
670C4#1686404211yescharacteristic
671C4#1686405511yescharacteristic
672C2—21no—
673C2—21no—
674C2—42no—
675C2—81no—
676C2#2256313811yescharacteristic
677C2#2256911211yescharacteristic
678C2#2256911911yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D67
commutatorC2×C4×C67C23×C4
FrattiniC22×C4C23×D67
FittingC67×#2943C2
socleC22×C67C2×C4×D4
prime radicalC2×#135×C67C22
cosocleC22×C4×C67C24
hypercenter#2943D67
hypocenterC67#22784
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #2943

Complements

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

NH ≅ G/Ntype
1. #22568875C2semidirect
2. #22568777C2semidirect
3. #22560922C2semidirect
4. #22560915C2semidirect
5. #22560810C2semidirect
6. #22560810C2semidirect
9. #22560350C2semidirect
10. #22560229C2semidirect
11. #22560229C2semidirect
12. #22560081C2semidirect
13. #22560056C2semidirect
14. #22560049C2semidirect
55. #442×C67C4semidirect
56. #442×C67C4semidirect
57. #441×C67C4semidirect
58. #441×C67C4semidirect
59. #440×C67C4semidirect
60. #440×C67C4semidirect
61. #440×C67C4semidirect
62. #440×C67C4semidirect
355. C67#22784semidirect
361. #442Dic67semidirect
362. #442Dic67semidirect
363. #441Dic67semidirect
364. #441Dic67semidirect
365. #440Dic67semidirect
366. #440Dic67semidirect
367. #440Dic67semidirect
368. #440Dic67semidirect

Maximal subgroups

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

subgroupindex
#225688752
#225687772
#225609222
#225609152
#225608102
#225605382
#225603502
#225602292
#225600812
#225600562
#225600492
C67×#29432
#2278467