Finite Group Databasebeta

← #30874281

Subgroups — #30874281

Order 17152.

858 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16863515C211yesmaximal, characteristic
2C2×#16863510C211yesmaximal, characteristic
3#22569007C211yesmaximal, characteristic
4#22568778C211yesmaximal, characteristic, complemented
5#22568777C211yesmaximal, characteristic, complemented
6#22560961C211yesmaximal, characteristic, complemented
7#22560956C211yesmaximal, characteristic, complemented
8#22560485C211yesmaximal, characteristic, complemented
9#22560485C211yesmaximal, characteristic, complemented
10#22560482C211yesmaximal, characteristic, complemented
11#22560482C211yesmaximal, characteristic, complemented
12#22560383C211yesmaximal, characteristic, complemented
13#22560230C211yesmaximal, characteristic, complemented
14#22560084C211yesmaximal, characteristic, complemented
15C67×#1806C211yesmaximal, characteristic, complemented
16C2×#14524063C2211yescharacteristic
17C2×#14524051C2211yescharacteristic
18C2×#14524051C2211yescharacteristic
19C2×#14524050C2211yescharacteristic
20C2×#14524050C2211yescharacteristic
21C4×#11761628C2211yescharacteristic
22#16863515—24no—
23#16863510—24no—
24#16863506C411yescharacteristic, complemented
25#16863506C411yescharacteristic, complemented
26#16863501C411yescharacteristic, complemented
27#16863501C411yescharacteristic, complemented
28#16863496C411yescharacteristic, complemented
29#16863496C411yescharacteristic, complemented
30#16863494C411yescharacteristic, complemented
31#16863494C411yescharacteristic, complemented
32C2×#14523978C2211yescharacteristic
33C2×#14523978C2211yescharacteristic
34C2×#14523978C2211yescharacteristic
35C2×#14523978C2211yescharacteristic
36#16863432C2211yescharacteristic
37#16863424C2211yescharacteristic
38#16863424C2211yescharacteristic
39#16863423—21no—
40#16863423—21no—
41#16863423C2211yescharacteristic
42#16863423C2211yescharacteristic
43#16863421—21no—
44#16863421—21no—
45#16863420—21no—
46#16863420C2211yescharacteristic
47#16863418—21no—
48C2×C4⋊(C67⋊C8)—21no—
49C2×C4⋊(C67⋊C8)C2211yescharacteristic
50C4⋊C8×D67—21no—
51C2×#14523971C2211yescharacteristic
52C2×#14523971C2211yescharacteristic
53#16863392C2211yescharacteristic
54#16863390C2211yescharacteristic
55C2×#14523954C2211yescharacteristic
56C2×#14523954C2211yescharacteristic
57C2×C4×C67⋊C8C2211yescharacteristic
58#16863156C2211yescharacteristic
59#16863156C2211yescharacteristic
60#16863151C2211yescharacteristic
61#16863151C2211yescharacteristic
62C4×#41×C67C2211yescharacteristic
63#423×C67C2211yescharacteristic
64C2×#104×C67C2211yescharacteristic
65C2×#104×C67C2211yescharacteristic
66C4×C4⋊C4×C67C2211yescharacteristic
67#339×C67C2211yescharacteristic
68#339×C67C2211yescharacteristic
69C2×#11761628C2311yescharacteristic
70#14524063D414yes—
71#14524063Q814yes—
72C2×#11761618C2×C411yescharacteristic
73C2×#11761616C2×C411yescharacteristic
74C2×#11761615C2×C411yescharacteristic
75C2×#11761613C2×C411yescharacteristic
76#14524051—22no—
77#14524051—22no—
78#14524051—41no—
79#14524051—41no—
80#14524050—22no—
81#14524050—22no—
82#14524050—41no—
83#14524050—41no—
84C2×#11761612—21no—
85C2×#11761612—21no—
86C2×#11761612C2311yescharacteristic
87C2×#11761612C2311yescharacteristic
88C2×#11761611—21no—
89C2×#11761611—21no—
90C22×C67⋊C8—21no—
91C22×C67⋊C8—21no—
92C22×C67⋊C8C2311yescharacteristic
93C22×C67⋊C8C2311yescharacteristic
94C22×C67⋊C8C2311yescharacteristic
95C22×C67⋊C8C2311yescharacteristic
96C2×C8×D67—21no—
97C2×C8×D67—21no—
98C4×Dic134C2×C411yescharacteristic
99C4×Dic134C2×C411yescharacteristic
100C4×D268C2×C411yescharacteristic
101C4×D268C2×C411yescharacteristic
102C4×C22⋊D67—21no—
103C4×C22⋊D67—21no—
104#14524002C2311yescharacteristic
105#14524000—21no—
106C42×D67—21no—
107#14523978—22no—
108#14523978—22no—
109#14523978—41no—
110#14523978—41no—
111#14523976C2×C411yescharacteristic
112#14523976C2×C411yescharacteristic
113#14523974C2×C411yescharacteristic
114#14523974C2×C411yescharacteristic
115C4⋊(C67⋊C8)—21no—
116C4⋊(C67⋊C8)—21no—
117C4⋊(C67⋊C8)—21no—
118C4⋊(C67⋊C8)—21no—
119C4⋊(C67⋊C8)—21no—
120C4⋊(C67⋊C8)—21no—
121C4⋊(C67⋊C8)D411yescharacteristic
122C4⋊(C67⋊C8)D411yescharacteristic
123C4⋊(C67⋊C8)D411yescharacteristic
124C4⋊(C67⋊C8)D411yescharacteristic
125Dic67⋊C8—21no—
126Dic67⋊C8—21no—
127Dic67⋊C8—21no—
128Dic67⋊C8—21no—
129#14523971—22no—
130#14523971—22no—
131#14523967C2×C411yescharacteristic
132#14523967C2×C411yescharacteristic
133#14523966C2×C411yescharacteristic
134#14523966C2×C411yescharacteristic
135#14523964C2×C411yescharacteristic
136#14523964C2×C411yescharacteristic
137#14523963C2×C411yescharacteristic
138#14523963C2×C411yescharacteristic
139#14523954—22no—
140#14523954C2×C411yescharacteristic
141#14523954C2×C411yescharacteristic
142#14523954C2×C411yescharacteristic
143#14523954C2×C411yescharacteristic
144C4×C67⋊C8—22no—
145C2×#41×C67C2311yescharacteristic
146C2×M16×C67C2311yescharacteristic
147C2×M16×C67C2311yescharacteristic
148C4×Q8×C67C2×C411yescharacteristic
149C4×Q8×C67C2×C411yescharacteristic
150C4×D4×C67—21no—
151C4×D4×C67—21no—
152C4×D4×C67C2×C411yescharacteristic
153C4×D4×C67C2×C411yescharacteristic
154#117×C67—21no—
155#117×C67C2311yescharacteristic
156C2×C4⋊C4×C67—21no—
157C2×C42×C67—21no—
158C2×C42×C67C2311yescharacteristic
159C2×C42×C67C2311yescharacteristic
160C2×C42×C67C2311yescharacteristic
161C4⋊C8×C67—21no—
162C4⋊C8×C67—21no—
163#104×C67—22no—
164#104×C67—22no—
165#95×C67—21no—
166#11761628—21no—
167#11761628—21no—
168#11761628C2×D412yes—
169#11761628C2×Q812yes—
170C2×Dic134C22×C411yescharacteristic
171C2×D268C22×C411yescharacteristic
172C2×C22⋊D67—21no—
173C2×C4×D67—21no—
174C2×C4×D67—21no—
175C2×C4×D67—21no—
176#11761618C4⋊C414yescomplemented
177#11761616C4⋊C414yescomplemented
178#11761615C4⋊C414yescomplemented
179#11761613C4⋊C414yescomplemented
180#11761612—21no—
181#11761612—21no—
182#11761612—21no—
183#11761612—21no—
184#11761612—42no—
185#11761612—42no—
186#11761611—42no—
187#11761611—42no—
188C2×C67⋊C8—21no—
189C2×C67⋊C8—21no—
190C2×C67⋊C8—21no—
191C2×C67⋊C8—21no—
192C2×C67⋊C8—21no—
193C2×C67⋊C8—21no—
194C2×C67⋊C8—21no—
195C2×C67⋊C8—21no—
196C2×C67⋊C8—42no—
197C2×C67⋊C8—42no—
198C2×C67⋊C8C22×C411yescharacteristic
199C2×C67⋊C8C22×C411yescharacteristic
200C2×C67⋊C8C22×C411yescharacteristic
201C2×C67⋊C8C22×C411yescharacteristic
202C2×C67⋊C8C2×D411yescharacteristic
203C2×C67⋊C8C2×D411yescharacteristic
204C2×C67⋊C8C2×D411yescharacteristic
205C2×C67⋊C8C2×D411yescharacteristic
206C2×C67⋊C8C2×D412yes—
207C2×C67⋊C8C2×Q812yes—
208C8×D67—42no—
209C8×D67—42no—
210C4⋊Dic67C22×C411yescharacteristic
211C4⋊Dic67C22×C411yescharacteristic
212Dic67⋊C4—21no—
213Dic67⋊C4—21no—
214C22⋊Dic67—21no—
215(C2×D67)⋊C4—21no—
216(C2×D67)⋊C4—21no—
217C4×Dic67—21no—
218C4×Dic67—21no—
219C4×Dic67—21no—
220#41×C67—21no—
221#41×C67—21no—
222#41×C67C2×D412yes—
223#41×C67C2×Q812yes—
224C2×Q8×C67C22×C411yescharacteristic
225C2×D4×C67—21no—
226C2×D4×C67C22×C411yescharacteristic
227C22×C4×C67—21no—
228C22×C4×C67—21no—
229C22×C4×C67—21no—
230C22×C4×C67—21no—
231C22×C4×C67—21no—
232C22×C4×C67#4111yescharacteristic
233C22×C4×C67#4111yescharacteristic
234C22×C4×C67C2411yescharacteristic
235M16×C67—21no—
236M16×C67—21no—
237M16×C67—21no—
238M16×C67—21no—
239C2×C8×C67—21no—
240C2×C8×C67—21no—
241C4⋊C4×C67—21no—
242C4⋊C4×C67—21no—
243C4⋊C4×C67—42no—
244C4⋊C4×C67C22×C411yescharacteristic
245C4⋊C4×C67C22×C411yescharacteristic
246C22⋊C4×C67—21no—
247C22⋊C4×C67—21no—
248C22⋊C4×C67—21no—
249C42×C67—21no—
250C42×C67—21no—
251C42×C67—21no—
252C42×C67—21no—
253C42×C67—21no—
254C42×C67—21no—
255C42×C67—21no—
256C42×C67C22×C411yescharacteristic
257C42×C67C22×C411yescharacteristic
258C42×C67C2×D411yescharacteristic
259C42×C67C2×D411yescharacteristic
260C23×C67—21no—
261C23×C67C2×#4111yescharacteristic
262C22×D67—21no—
263Q8×C67—21no—
264Q8×C67C2×C4⋊C412yes—
265D4×C67—22no—
266D4×C67—22no—
267D4×C67—21no—
268D4×C67C2×C4⋊C412yes—
269C2×C4×C67—21no—
270C2×C4×C67—22no—
271C2×C4×C67—22no—
272C2×C4×C67—22no—
273C2×C4×C67—21no—
274C2×C4×C67—21no—
275C2×C4×C67—41no—
276C2×C4×C67—41no—
277C2×C4×C67—42no—
278C2×C4×C67—41no—
279C2×C4×C67—41no—
280C2×C4×C67—41no—
281C2×C4×C67—41no—
282C2×C4×C67—41no—
283C2×C4×C67—81no—
284C2×C4×C67C4×D411yescharacteristic
285C2×C4×C67C4×D411yescharacteristic
286C2×C4×C67C4×D411yescharacteristic
287C2×C4×C67C4×D411yescharacteristic
288C2×C4×C67C23×C411yescharacteristic
289C2×C4×C67C22×D411yescharacteristic
290C2×C4×C67C22×D411yescharacteristic
291C2×C4×C67C22×Q811yescharacteristic
292C2×C4×C67H(5,𝔽2)11yescharacteristic
293C2×C4×C672−1+411yescharacteristic
294C22⋊D67—22no—
295C22⋊D67—22no—
296C2×Dic67—21no—
297C2×Dic67—21no—
298C2×Dic67—21no—
299D268—21no—
300D268C2×C4⋊C412yes—
301C4×D67—22no—
302C4×D67—22no—
303C4×D67—42no—
304C4×D67—81no—
305Dic134—21no—
306Dic134C2×C4⋊C412yes—
307C8×C67—41no—
308C8×C67—41no—
309C67⋊C8—21no—
310C67⋊C8—21no—
311C67⋊C8—21no—
312C67⋊C8—21no—
313C67⋊C8—21no—
314C67⋊C8—21no—
315C67⋊C8—41no—
316C67⋊C8—41no—
317C67⋊C8C2×C4⋊C412yes—
318C67⋊C8C2×C4⋊C412yes—
319C22×C67—21no—
320C22×C67—21no—
321C22×C67—22no—
322C22×C67—41no—
323C22×C67—41no—
324C22×C67C2×C4×D411yescharacteristic
325C22×C67#54711yescharacteristic
326C22×C67#55411yescharacteristic
327C2×D67—22no—
328C2×D67—41no—
329C2×D67—41no—
330C4×C67—22no—
331C4×C67—21no—
332C4×C67—21no—
333C4×C67—21no—
334C4×C67—21no—
335C4×C67—42no—
336C4×C67—41no—
337C4×C67—41no—
338C4×C67—81no—
339C4×C67C22×C4⋊C411yescharacteristic
340C4×C67#52011yescharacteristic
341C4×C67D4211yescharacteristic
342C4×C67D4×Q811yescharacteristic
343Dic67—22no—
344Dic67—41no—
345Dic67—41no—
346#22687—671nomaximal, Sylow
347C2×C67—21no—
348C2×C67—21no—
349C2×C67—42no—
350C2×C67D4×C4⋊C411yescharacteristic
351C2×C67#295511yescharacteristic
352C2×C67#295611yescharacteristic
353D67—42no—
354C2×#444—671no—
355C2×#443—671no—
356#2943—671no—
357#2906—671no—
358#2906—671no—
359#1946—671no—
360#1945—671no—
361#1866—671no—
362#1866—671no—
363#1866—671no—
364#1866—671no—
365#1849—671no—
366#1806—671no—
367#1806D6711yescharacteristic, complemented
368#1771—671no—
369C67#2268711yescharacteristic, complemented, Sylow
370C2×#135—671no—
371C2×#131—671no—
372C2×#131—671no—
373C2×#131—671no—
374C2×#131—671no—
375C4×#41—671no—
376C4×#41C2×D6711yescharacteristic
377#444—1344no—
378#443—1344no—
379#442—671no—
380#442—671no—
381#441—671no—
382#441—671no—
383#440—671no—
384#440—671no—
385#440—671no—
386#440—671no—
387C2×#108—671no—
388C2×#108—671no—
389C2×#108—671no—
390C2×#108—671no—
391#427—671no—
392#424—671no—
393#424—671no—
394#424—671no—
395#424—671no—
396#424—1341no—
397#424—1341no—
398#424—1341no—
399#424—1341no—
400#423—671no—
401#423—1341no—
402#423—1341no—
403#423C2×D6711yescharacteristic
404C2×C4⋊C8—671no—
405C2×C4⋊C8—1341no—
406C2×C4⋊C8—1341no—
407C2×#104—671no—
408C2×#104—671no—
409C2×#104C2×D6711yescharacteristic
410C2×#104C2×D6711yescharacteristic
411#416—671no—
412#416—671no—
413C2×#97—671no—
414C2×#97—671no—
415C2×C4×C8—671no—
416C4×C4⋊C4C2×D6711yescharacteristic
417#339—671no—
418#339—671no—
419#339C2×D6711yescharacteristic
420#339C2×D6711yescharacteristic
421#336—671no—
422#336—671no—
423C2×#41—671no—
424C2×#41C22×D6711yescharacteristic
425#135—674no—
426#135—674no—
427C2×Q16—671no—
428C2×SD16—671no—
429C2×SD16—671no—
430C2×D8—671no—
431#131—2681no—
432#131—2681no—
433#131—2681no—
434#131—2681no—
435#131—1342no—
436#131—1342no—
437#131—1342no—
438#131—1342no—
439C2×M16—671no—
440C2×M16—671no—
441C2×M16—1341no—
442C2×M16—1341no—
443C2×M16—1341no—
444C2×M16—1341no—
445C2×M16C22×D6711yescharacteristic
446C2×M16C22×D6711yescharacteristic
447C22×C8—671no—
448C22×C8—671no—
449C22×C8—671no—
450C22×C8—671no—
451C22×C8—1341no—
452C22×C8—1341no—
453C22×C8—1341no—
454C22×C8—1341no—
455C4×Q8—671no—
456C4×Q8—671no—
457C4×Q8C4×D6711yescharacteristic
458C4×Q8C4×D6711yescharacteristic
459C4×D4—21no—
460C4×D4—21no—
461C4×D4—671no—
462C4×D4—671no—
463C4×D4—1341no—
464C4×D4—1341no—
465C4×D4C4×D6711yescharacteristic
466C4×D4C4×D6711yescharacteristic
467#117—21no—
468#117—671no—
469#117—1341no—
470#117C22×D6711yescharacteristic
471C2×C4⋊C4—21no—
472C2×C42—21no—
473C2×C42—1341no—
474C2×C42C22×D6711yescharacteristic
475C2×C42C22×D6711yescharacteristic
476C2×C42C22×D6711yescharacteristic
477#108—2681no—
478#108—2681no—
479#108—1342no—
480#108—1342no—
481#107—671no—
482#107—671no—
483#106—671no—
484#106—671no—
485C4⋊C8—21no—
486C4⋊C8—21no—
487C4⋊C8—671no—
488C4⋊C8—671no—
489C4⋊C8—671no—
490C4⋊C8—671no—
491C4⋊C8—1341no—
492C4⋊C8—1341no—
493C4⋊C8—1341no—
494C4⋊C8—1341no—
495C4⋊C8—1341no—
496C4⋊C8—1341no—
497C4⋊C8—1341no—
498C4⋊C8—1341no—
499C4⋊C8—1341no—
500C4⋊C8—1341no—
501#104—22no—
502#104—22no—
503#104—1342no—
504#104—1342no—
505#103—671no—
506#103—671no—
507#103—671no—
508#103—671no—
509#102—671no—
510#102—671no—
511#102—671no—
512#102—671no—
513#97—671no—
514#97—671no—
515#97—671no—
516#97—671no—
517#97—1342no—
518C4×C8—1342no—
519#95—21no—
520#41—21no—
521#41—21no—
522#41—672no—
523#41—672no—
524#41—1341no—
525#41—1341no—
526#41D4×D6712yes—
527#41Q8×D6712yes—
528C2×Q8—671no—
529C2×Q8C2×C4×D6711yescharacteristic
530C2×D4—21no—
531C2×D4—671no—
532C2×D4—1341no—
533C2×D4C2×C4×D6711yescharacteristic
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—1341no—
540C22×C4—1341no—
541C22×C4—1341no—
542C22×C4#1176162711yescharacteristic
543C22×C4#1176162711yescharacteristic
544C22×C4C23×D6711yescharacteristic
545Q16—674no—
546SD16—674no—
547SD16—674no—
548D8—674no—
549M16—21no—
550M16—21no—
551M16—21no—
552M16—21no—
553M16—2682no—
554M16—2682no—
555M16—2682no—
556M16—2682no—
557M16—1341no—
558M16—1341no—
559M16—1341no—
560M16—1341no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—2682no—
564C2×C8—2682no—
565C2×C8—2682no—
566C2×C8—2682no—
567C2×C8—671no—
568C2×C8—671no—
569C2×C8—672no—
570C2×C8—672no—
571C2×C8—671no—
572C2×C8—671no—
573C2×C8—671no—
574C2×C8—671no—
575C2×C8—671no—
576C2×C8—671no—
577C2×C8—1341no—
578C2×C8—1341no—
579C2×C8—1341no—
580C2×C8—1341no—
581C2×C8—1341no—
582C2×C8—1341no—
583C2×C8—1341no—
584C2×C8—1341no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—42no—
588C4⋊C4—671no—
589C4⋊C4—671no—
590C4⋊C4—1341no—
591C4⋊C4—1341no—
592C4⋊C4C2×C4×D6711yescharacteristic
593C4⋊C4C2×C4×D6711yescharacteristic
594C22⋊C4—21no—
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—1341no—
598C22⋊C4—1341no—
599C22⋊C4—1341no—
600C42—21no—
601C42—21no—
602C42—21no—
603C42—21no—
604C42—21no—
605C42—21no—
606C42—21no—
607C42—1341no—
608C42—1341no—
609C42—1341no—
610C42C2×C4×D6711yescharacteristic
611C42C2×C4×D6711yescharacteristic
612C42D4×D6711yescharacteristic
613C42D4×D6711yescharacteristic
614C23—21no—
615C23—1341no—
616C23C2×#1176162711yescharacteristic
617Q8—21no—
618Q8—672no—
619Q8—1341no—
620Q8C4⋊C4×D6712yes—
621D4—22no—
622D4—22no—
623D4—21no—
624D4—672no—
625D4—1342no—
626D4—1342no—
627D4—1341no—
628D4C4⋊C4×D6712yes—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—42no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—81no—
644C2×C4—2682no—
645C2×C4—5361no—
646C2×C4—1341no—
647C2×C4—1341no—
648C2×C4—1341no—
649C2×C4—1342no—
650C2×C4—1342no—
651C2×C4(C22⋊D67)⋊C411yescharacteristic
652C2×C4(C22⋊D67)⋊C411yescharacteristic
653C2×C4(C22⋊D67)⋊C411yescharacteristic
654C2×C4(C22⋊D67)⋊C411yescharacteristic
655C2×C4C22×C4×D6711yescharacteristic
656C2×C4C2×D4×D6711yescharacteristic
657C2×C4C2×D4×D6711yescharacteristic
658C2×C4C2×Q8×D6711yescharacteristic
659C2×C4#1452408911yescharacteristic
660C2×C4#1452409011yescharacteristic
661C8—41no—
662C8—41no—
663C8—2681no—
664C8—2681no—
665C8—672no—
666C8—672no—
667C8—1341no—
668C8—1341no—
669C8—1341no—
670C8—1341no—
671C8—1341no—
672C8—1341no—
673C22—21no—
674C22—21no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—2681no—
679C22—2681no—
680C22—1342no—
681C22C2×(C22⋊D67)⋊C411yescharacteristic
682C22#1686404611yescharacteristic
683C22#1686410411yescharacteristic
684C4—22no—
685C4—21no—
686C4—21no—
687C4—21no—
688C4—21no—
689C4—42no—
690C4—41no—
691C4—41no—
692C4—81no—
693C4—2681no—
694C4—2681no—
695C4—1342no—
696C4C2×C4⋊C4×D6711yescharacteristic
697C4#1686387611yescharacteristic
698C4#1686403011yescharacteristic
699C4#1686405911yescharacteristic
700C2—21no—
701C2—21no—
702C2—42no—
703C2—2682no—
704C2#2256310511yescharacteristic
705C2#2256910811yescharacteristic
706C2#2256911511yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D67
commutatorC2×C4×C67C23×C4
FrattiniC22×C4C23×D67
FittingC67×#1806C2
socleC22×C67C2×C4×D4
prime radicalC2×#14524063C22
cosocleC22×C4×C67C24
hypercenter#1806D67
hypocenterC67#22687
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1806

Complements

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

NH ≅ G/Ntype
4. #22568778C2semidirect
5. #22568777C2semidirect
6. #22560961C2semidirect
7. #22560956C2semidirect
8. #22560485C2semidirect
9. #22560485C2semidirect
10. #22560482C2semidirect
11. #22560482C2semidirect
12. #22560383C2semidirect
13. #22560230C2semidirect
14. #22560084C2semidirect
15. C67×#1806C2semidirect
24. #16863506C4semidirect
25. #16863506C4semidirect
26. #16863501C4semidirect
27. #16863501C4semidirect
28. #16863496C4semidirect
29. #16863496C4semidirect
30. #16863494C4semidirect
31. #16863494C4semidirect
176. #11761618C4⋊C4semidirect
177. #11761616C4⋊C4semidirect
178. #11761615C4⋊C4semidirect
179. #11761613C4⋊C4semidirect
367. #1806D67semidirect
369. C67#22687semidirect

Maximal subgroups

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

subgroupindex
C2×#168635152
C2×#168635102
#225690072
#225687782
#225687772
#225609612
#225609562
#225604852
#225604822
#225603832
#225602302
#225600842
C67×#18062
#2268767