Finite Group Databasebeta

← #10764069

Subgroups — #10764069

Order 768.

904 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86215C211yesmaximal, characteristic
2#79340C211yesmaximal, characteristic
3#79340C211yesmaximal, characteristic
4C3×#1556C211yesmaximal, characteristic, complemented
5C2×#4547C211yesmaximal, characteristic, complemented
6#70820C211yesmaximal, characteristic, complemented
7#70820C211yesmaximal, characteristic, complemented
8#68431C211yesmaximal, characteristic, complemented
9#68428C211yesmaximal, characteristic, complemented
10#68425C211yesmaximal, characteristic, complemented
11#68424C211yesmaximal, characteristic, complemented
12#68422C211yesmaximal, characteristic, complemented
13#68420C211yesmaximal, characteristic, complemented
14#68419C211yesmaximal, characteristic, complemented
15D3×#332C211yesmaximal, characteristic, complemented
16#17774—31nomaximal, Sylow
17C2×C3×C4⋊Q8C2211yescharacteristic
18Q8×#67—21no—
19Q8×#67—21no—
20#5730—21no—
21#5729C412yes—
22#5729C412yes—
23#5728C2211yescharacteristic
24#5728C2211yescharacteristic
25#5727—21no—
26D3×C4⋊Q8C2211yescharacteristic
27D3×C4⋊Q8C2211yescharacteristic
28#5722—21no—
29#5721—21no—
30#5511—21no—
31#5511—21no—
32#5504C412yes—
33#5500C412yes—
34C4×#235C2211yescharacteristic
35#5470C2211yescharacteristic
36C3×#432C2211yescharacteristic
37C3×#432C2211yescharacteristic
38C2×C4⋊(C3⋊C8)C2211yescharacteristic
39C2×C4⋊(C3⋊C8)C2211yescharacteristic
40#4837C2211yescharacteristic
41#4837C2211yescharacteristic
42#4835C2211yescharacteristic
43#4835C2211yescharacteristic
44#4833C2211yescharacteristic
45#4833C2211yescharacteristic
46D3×C4⋊C8C2211yescharacteristic
47D3×C4⋊C8C2211yescharacteristic
48#4730—21no—
49#4730—21no—
50#67⋊C8—21no—
51#67⋊C8—21no—
52#4706—21no—
53#4706—21no—
54#4701—21no—
55#4701—21no—
56C3×#332C2211yescharacteristic
57C3×#332C2211yescharacteristic
58C3×#332C2211yescharacteristic
59C3×#332C2211yescharacteristic
60#4547C2211yescharacteristic
61#4547C2211yescharacteristic
62#4547C2211yescharacteristic
63#4547C2211yescharacteristic
64#4486C2211yescharacteristic
65#4486C2211yescharacteristic
66#4486C2211yescharacteristic
67#4486C2211yescharacteristic
68#4482C2211yescharacteristic
69#4482C2211yescharacteristic
70#4482C2211yescharacteristic
71#4482C2211yescharacteristic
72#3503—31no—
73#2990—31no—
74#2990—31no—
75#1561—31no—
76#1556—31no—
77#1556D311yescharacteristic, complemented
78#1552—31no—
79#1552—31no—
80#1552—31no—
81#1552—31no—
82#1549—31no—
83#1546—31no—
84#1544—31no—
85C2×#332—31no—
86C2×#332—31no—
87C22×C3×Q8—21no—
88C2×D3×Q8—21no—
89C2×D3×Q8—21no—
90C2×#235C2×C411yescharacteristic
91C3×C4⋊Q8—21no—
92C3×C4⋊Q8—21no—
93C3×C4⋊Q8C2×C412yes—
94C3×C4⋊Q8C2311yescharacteristic
95C3×C4⋊Q8C2311yescharacteristic
96C2×C3×C4⋊C4—21no—
97C2×C3×C4⋊C4C2×C412yes—
98C2×C3×C42C2311yescharacteristic
99#946—21no—
100#946—21no—
101#946—22no—
102#946—22no—
103Q8×Dic3—21no—
104Q8×Dic3—21no—
105#944—22no—
106#944—22no—
107#944—21no—
108#944—21no—
109C4×#67—22no—
110C4×#67—22no—
111C4×#67D411yescharacteristic
112C4×#67D411yescharacteristic
113C4×#67D411yescharacteristic
114C4×#67D411yescharacteristic
115#926C2×C412yes—
116#926C2×C411yescharacteristic
117#924—21no—
118#924—21no—
119#924—22no—
120#924—22no—
121C22×C3⋊C8—21no—
122C22×C3⋊C8—21no—
123C2×ΓL(1,𝔽25)—21no—
124C2×ΓL(1,𝔽25)—21no—
125C2×D3×C8—21no—
126C2×D3×C8—21no—
127#897—21no—
128#897—21no—
129#896—22no—
130#896—22no—
131#893—22no—
132#892C2×C412yes—
133#892C2×C412yes—
134D3×C4⋊C4—21no—
135D3×C4⋊C4—21no—
136D3×C4⋊C4C2×C412yes—
137D3×C4⋊C4C2×C412yes—
138#890—22no—
139#890C2×C412yes—
140#890C2×C412yes—
141#889—22no—
142#889—22no—
143#888—22no—
144#888—21no—
145#888—21no—
146#888C2×C412yes—
147#888C2×C412yes—
148#887—22no—
149#887—21no—
150#887—21no—
151C4×D12D411yescharacteristic
152C4×D12D411yescharacteristic
153#872C2×C411yescharacteristic
154#872C2×C411yescharacteristic
155C42×D3C2311yescharacteristic
156C42×D3C2311yescharacteristic
157#870C2×C412yes—
158#869C2311yescharacteristic
159#869C2311yescharacteristic
160C4×Dic6—21no—
161C4×Dic6—21no—
162C4×Dic6D411yescharacteristic
163C4×Dic6D411yescharacteristic
164C3×C4⋊C8C2311yescharacteristic
165C3×C4⋊C8C2311yescharacteristic
166C3×C4⋊C8C2311yescharacteristic
167C3×C4⋊C8C2311yescharacteristic
168C3×C22⋊C8—21no—
169C3×C22⋊C8—21no—
170C3×#97—21no—
171C3×#97—21no—
172(C2×D3)⋊C8—21no—
173(C2×D3)⋊C8—21no—
174(C2×D3)⋊C8—21no—
175(C2×D3)⋊C8—21no—
176#815—21no—
177#815—21no—
178Dic3⋊C8—21no—
179Dic3⋊C8—21no—
180Dic3⋊C8—21no—
181Dic3⋊C8—21no—
182C8×Dic3—21no—
183C8×Dic3—21no—
184C4⋊(C3⋊C8)—21no—
185C4⋊(C3⋊C8)—21no—
186C4⋊(C3⋊C8)C2311yescharacteristic
187C4⋊(C3⋊C8)C2311yescharacteristic
188C4⋊(C3⋊C8)C2311yescharacteristic
189C4⋊(C3⋊C8)C2311yescharacteristic
190Q82—61no—
191#557—61no—
192#554—61no—
193#554—61no—
194#554—61no—
195D4×Q8—61no—
196D4×Q8—61no—
197D4×Q8—61no—
198#544—32no—
199#544—32no—
200#544—32no—
201#533—31no—
202#533—31no—
203#533—31no—
204C2×C4⋊Q8—31no—
205C2×C4⋊Q8—31no—
206C2×C4⋊Q8C2×D311yescharacteristic
207#520—32no—
208C4×#41—31no—
209#446—61no—
210#446—61no—
211#435—61no—
212#435—61no—
213#435—61no—
214#435—61no—
215C8×D4—61no—
216C8×D4—61no—
217#432—31no—
218#432—31no—
219#432C2×D311yescharacteristic
220#432C2×D311yescharacteristic
221#431—31no—
222#431—31no—
223#423—31no—
224#423—31no—
225C2×C4⋊C8—31no—
226C2×C4⋊C8—31no—
227C2×C4⋊C8—31no—
228C2×C4⋊C8—31no—
229#332—31no—
230#332—31no—
231#332—31no—
232#332—31no—
233#332—31no—
234#332—31no—
235#332—31no—
236#332—31no—
237#332—31no—
238#332—31no—
239#332—31no—
240#332—31no—
241#332C2×D311yescharacteristic
242#332C2×D311yescharacteristic
243#332C2×D311yescharacteristic
244#332C2×D311yescharacteristic
245C2×C3×Q8—22no—
246C2×C3×Q8—21no—
247C2×C3×Q8—21no—
248C2×C3×Q8—81no—
249C2×C3×Q8—81no—
250C22×C3×C4—22no—
251C22×C3×C4C22×C411yescharacteristic
252C22×C3×C4C2×D411yescharacteristic
253C22×C3×C4C2×D411yescharacteristic
254C2×#67C22⋊C411yescharacteristic
255C2×#67C22⋊C411yescharacteristic
256D3×Q8—81no—
257D3×Q8—81no—
258D3×Q8—81no—
259D3×Q8—81no—
260#235—24no—
261C2×D12C22⋊C411yescharacteristic
262C2×C4×D3—22no—
263C2×C4×D3—22no—
264C2×C4×D3C22×C411yescharacteristic
265C2×C4×D3C22×C411yescharacteristic
266C2×C4×D3C2×D411yescharacteristic
267C2×C4×D3C2×D411yescharacteristic
268C2×C4×D3C2×D411yescharacteristic
269C2×C4×D3C2×D411yescharacteristic
270C2×Dic6—21no—
271C2×Dic6—21no—
272C2×Dic6—22no—
273C2×Dic6—22no—
274C2×Dic6C22⋊C411yescharacteristic
275C2×C3×C8—21no—
276C2×C3×C8—21no—
277C2×C3×C8—21no—
278C2×C3×C8—21no—
279C3×C4⋊C4—22no—
280C3×C4⋊C4—22no—
281C3×C4⋊C4—21no—
282C3×C4⋊C4—21no—
283C3×C4⋊C4C22×C412yes—
284C3×C4⋊C4C22×C412yes—
285C3×C42C22×C411yescharacteristic
286C3×C42C2×D411yescharacteristic
287C3×C42C2×D411yescharacteristic
288C3×C42C2411yescharacteristic
289#217—22no—
290#217C22⋊C411yescharacteristic
291#217C22⋊C411yescharacteristic
292(C2×D3)⋊C4—22no—
293(C2×D3)⋊C4—22no—
294(C2×D3)⋊C4C22⋊C411yescharacteristic
295(C2×D3)⋊C4C22⋊C411yescharacteristic
296(C2×D3)⋊C4C22⋊C411yescharacteristic
297(C2×D3)⋊C4C22⋊C411yescharacteristic
298C4⋊Dic3—21no—
299C4⋊Dic3—21no—
300C4⋊Dic3—22no—
301C4⋊Dic3—22no—
302C4⋊Dic3C22⋊C411yescharacteristic
303C4⋊Dic3C22⋊C411yescharacteristic
304C4⋊Dic3C22×C412yes—
305C4⋊Dic3C22×C412yes—
306Dic3⋊C4—22no—
307Dic3⋊C4—22no—
308Dic3⋊C4—22no—
309Dic3⋊C4—22no—
310Dic3⋊C4—22no—
311Dic3⋊C4—22no—
312Dic3⋊C4—22no—
313Dic3⋊C4—22no—
314Dic3⋊C4C22⋊C411yescharacteristic
315Dic3⋊C4C22⋊C411yescharacteristic
316Dic3⋊C4C22⋊C411yescharacteristic
317Dic3⋊C4C22⋊C411yescharacteristic
318C4×Dic3—22no—
319C4×Dic3—22no—
320C4×Dic3—22no—
321C4×Dic3C22×C411yescharacteristic
322C4×Dic3C22×C411yescharacteristic
323C4×Dic3C2×D411yescharacteristic
324C4×Dic3C2×D411yescharacteristic
325C4×Dic3C2×D411yescharacteristic
326C4×Dic3C2×D411yescharacteristic
327C2×C3⋊C8—21no—
328C2×C3⋊C8—21no—
329C2×C3⋊C8—21no—
330C2×C3⋊C8—21no—
331C2×C3⋊C8—81no—
332C2×C3⋊C8—81no—
333ΓL(1,𝔽25)—81no—
334ΓL(1,𝔽25)—81no—
335D3×C8—81no—
336D3×C8—81no—
337C2×#41—31no—
338C22×Q8—21no—
339C22×Q8—61no—
340C22×Q8—61no—
341C2×M16—61no—
342C2×M16—61no—
343C22×C8—61no—
344C22×C8—61no—
345C22×C8—61no—
346C22×C8—61no—
347C4⋊Q8—21no—
348C4⋊Q8—21no—
349C4⋊Q8—32no—
350C4⋊Q8—32no—
351C4⋊Q8—31no—
352C4⋊Q8—31no—
353C4⋊Q8—61no—
354C4⋊Q8—61no—
355C4⋊Q8—61no—
356C4⋊Q8—61no—
357C4⋊Q8—62no—
358C4⋊Q8—62no—
359C4⋊Q8—62no—
360C4⋊Q8C4×D312yes—
361C4⋊Q8C22×D311yescharacteristic
362C4⋊Q8C22×D311yescharacteristic
363#125—32no—
364#125—32no—
365#125—32no—
366#125—62no—
367#125—62no—
368#125—62no—
369C22⋊Q8—62no—
370C22⋊Q8—62no—
371C22⋊Q8—62no—
372C22⋊Q8—62no—
373C22⋊Q8—62no—
374C22⋊Q8—62no—
375C22⋊Q8—61no—
376C22⋊Q8—61no—
377C22⋊Q8—61no—
378C22⋊Q8—61no—
379C22⋊Q8—61no—
380C22⋊Q8—61no—
381C4×Q8—31no—
382C4×Q8—31no—
383C4×Q8—61no—
384C4×Q8—61no—
385C4×Q8—61no—
386C4×Q8—61no—
387C4×Q8—62no—
388C4×Q8—61no—
389C4×Q8—61no—
390C4×D4—31no—
391C4×D4—31no—
392C4×D4—31no—
393C4×D4—31no—
394C4×D4—31no—
395C4×D4—31no—
396C4×D4—62no—
397C4×D4—62no—
398C4×D4—62no—
399#117—31no—
400#117—31no—
401#117—31no—
402#117—32no—
403#117—32no—
404#117—32no—
405C2×C4⋊C4—21no—
406C2×C4⋊C4—32no—
407C2×C4⋊C4—32no—
408C2×C4⋊C4—61no—
409C2×C4⋊C4—61no—
410C2×C4⋊C4C4×D312yes—
411C2×C42—31no—
412C2×C42—31no—
413C2×C42C22×D311yescharacteristic
414C4⋊C8—31no—
415C4⋊C8—31no—
416C4⋊C8—31no—
417C4⋊C8—31no—
418C4⋊C8—61no—
419C4⋊C8—61no—
420C4⋊C8—61no—
421C4⋊C8—61no—
422C4⋊C8—61no—
423C4⋊C8—61no—
424C4⋊C8C22×D311yescharacteristic
425C4⋊C8C22×D311yescharacteristic
426C4⋊C8C22×D311yescharacteristic
427C4⋊C8C22×D311yescharacteristic
428C22⋊C8—21no—
429C22⋊C8—21no—
430C22⋊C8—61no—
431C22⋊C8—61no—
432C22⋊C8—61no—
433C22⋊C8—61no—
434#97—21no—
435#97—21no—
436#97—61no—
437#97—61no—
438C4×C8—61no—
439C4×C8—61no—
440C23×C3C2×C22⋊C411yescharacteristic
441C22×D3C2×C22⋊C411yescharacteristic
442C22×D3C2×C22⋊C411yescharacteristic
443C3×Q8—41no—
444C3×Q8—41no—
445C3×Q8—41no—
446C3×Q8—41no—
447C3×Q8—82no—
448C2×C3×C4—22no—
449C2×C3×C4—21no—
450C2×C3×C4—21no—
451C2×C3×C4—21no—
452C2×C3×C4—21no—
453C2×C3×C4—22no—
454C2×C3×C4—22no—
455C2×C3×C4—82no—
456C2×C3×C4C2×C22⋊C411yescharacteristic
457C2×C3×C4C2×C22⋊C411yescharacteristic
458C2×C3×C4C2×C22⋊C411yescharacteristic
459C2×C3×C4C23×C411yescharacteristic
460C2×C3×C4C22×D411yescharacteristic
461C2×C3×C4C22×D411yescharacteristic
462#67—22no—
463#67#10114yes—
464C2×Dic3—22no—
465C2×Dic3—22no—
466C2×Dic3C2×C22⋊C411yescharacteristic
467C2×Dic3C2×C22⋊C411yescharacteristic
468C2×Dic3C2×C22⋊C411yescharacteristic
469C2×Dic3C2×C22⋊C411yescharacteristic
470C2×Dic3C2×C22⋊C411yescharacteristic
471C2×Dic3C2×C22⋊C411yescharacteristic
472D12—22no—
473C4×D3—22no—
474C4×D3—21no—
475C4×D3—21no—
476C4×D3—21no—
477C4×D3—21no—
478C4×D3—21no—
479C4×D3—21no—
480C4×D3—21no—
481C4×D3—21no—
482C4×D3—22no—
483C4×D3—82no—
484C4×D3—82no—
485Dic6—22no—
486Dic6—41no—
487Dic6—41no—
488Dic6—41no—
489Dic6—41no—
490Dic6—82no—
491Dic6—82no—
492C3×C8—41no—
493C3×C8—41no—
494C3×C8—41no—
495C3×C8—41no—
496C3⋊C8—41no—
497C3⋊C8—41no—
498C3⋊C8—41no—
499C3⋊C8—41no—
500#41—64no—
501C2×Q8—22no—
502C2×Q8—21no—
503C2×Q8—21no—
504C2×Q8—31no—
505C2×Q8—62no—
506C2×Q8—62no—
507C2×Q8—61no—
508C2×Q8—61no—
509C2×Q8—81no—
510C2×Q8—81no—
511C2×Q8—241no—
512C2×Q8—241no—
513C2×Q8—241no—
514C2×Q8—241no—
515C2×D4—31no—
516C2×D4—31no—
517C2×D4—31no—
518C22×C4—22no—
519C22×C4—31no—
520C22×C4—31no—
521C22×C4—31no—
522C22×C4—31no—
523C22×C4—31no—
524C22×C4—31no—
525C22×C4—62no—
526C22×C4—62no—
527C22×C4C2×C4×D311yescharacteristic
528C22×C4D3×D411yescharacteristic
529C22×C4D3×D411yescharacteristic
530M16—241no—
531M16—241no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—61no—
537C2×C8—61no—
538C2×C8—61no—
539C2×C8—61no—
540C2×C8—241no—
541C2×C8—241no—
542C2×C8—241no—
543C2×C8—241no—
544C4⋊C4—22no—
545C4⋊C4—22no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—31no—
549C4⋊C4—31no—
550C4⋊C4—31no—
551C4⋊C4—31no—
552C4⋊C4—31no—
553C4⋊C4—31no—
554C4⋊C4—32no—
555C4⋊C4—32no—
556C4⋊C4—62no—
557C4⋊C4—62no—
558C4⋊C4—62no—
559C4⋊C4—62no—
560C4⋊C4—62no—
561C4⋊C4—62no—
562C4⋊C4—62no—
563C4⋊C4—62no—
564C4⋊C4—62no—
565C4⋊C4—62no—
566C4⋊C4—61no—
567C4⋊C4—61no—
568C4⋊C4C2×C4×D312yes—
569C4⋊C4C2×C4×D312yes—
570C22⋊C4—31no—
571C22⋊C4—31no—
572C22⋊C4—31no—
573C22⋊C4—31no—
574C22⋊C4—31no—
575C22⋊C4—31no—
576C22⋊C4—62no—
577C22⋊C4—62no—
578C22⋊C4—62no—
579C42—31no—
580C42—31no—
581C42—31no—
582C42—31no—
583C42—31no—
584C42—31no—
585C42—62no—
586C42—62no—
587C42—62no—
588C42C2×C4×D311yescharacteristic
589C42D3×D411yescharacteristic
590C42D3×D411yescharacteristic
591C42C23×D311yescharacteristic
592C22×C3—21no—
593C22×C3—21no—
594C22×C3C2×#10112yes—
595C22×C3C22×C22⋊C411yescharacteristic
596C2×D3—21no—
597C2×D3—21no—
598C2×D3—21no—
599C2×D3—21no—
600C2×D3—21no—
601C2×D3C2×#10112yes—
602C3×C4—21no—
603C3×C4—21no—
604C3×C4—21no—
605C3×C4—21no—
606C3×C4—42no—
607C3×C4—42no—
608C3×C4#57611yescharacteristic
609C3×C4#57711yescharacteristic
610C3×C4#57711yescharacteristic
611C3×C4#57811yescharacteristic
612Dic3—21no—
613Dic3—21no—
614Dic3—21no—
615Dic3—21no—
616Dic3—21no—
617Dic3—42no—
618Dic3—42no—
619Dic3C2×#10112yes—
620C23—31no—
621C23—31no—
622C23D3×C22⋊C411yescharacteristic
623Q8—41no—
624Q8—41no—
625Q8—41no—
626Q8—41no—
627Q8—62no—
628Q8—82no—
629Q8—121no—
630Q8—121no—
631Q8—121no—
632Q8—121no—
633Q8—242no—
634Q8—242no—
635D4—34no—
636D4—62no—
637D4—62no—
638C2×C4—22no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—31no—
646C2×C4—31no—
647C2×C4—31no—
648C2×C4—31no—
649C2×C4—31no—
650C2×C4—31no—
651C2×C4—62no—
652C2×C4—62no—
653C2×C4—61no—
654C2×C4—61no—
655C2×C4—61no—
656C2×C4—61no—
657C2×C4—61no—
658C2×C4—61no—
659C2×C4—61no—
660C2×C4—61no—
661C2×C4—62no—
662C2×C4—62no—
663C2×C4—82no—
664C2×C4—242no—
665C2×C4—242no—
666C2×C4D3×C22⋊C411yescharacteristic
667C2×C4D3×C22⋊C411yescharacteristic
668C2×C4D3×C22⋊C411yescharacteristic
669C2×C4C22×C4×D311yescharacteristic
670C2×C4C2×D3×D411yescharacteristic
671C2×C4C2×D3×D411yescharacteristic
672C8—41no—
673C8—41no—
674C8—41no—
675C8—41no—
676C8—121no—
677C8—121no—
678C8—121no—
679C8—121no—
680C2×C3—22no—
681C2×C3C22×#10111yescharacteristic
682C2×C3#289711yescharacteristic
683C2×C3#289811yescharacteristic
684D3—22no—
685D3—41no—
686C22—21no—
687C22—21no—
688C22—32no—
689C22—61no—
690C22—61no—
691C22—61no—
692C22—61no—
693C22—61no—
694C22D3×#10112yes—
695C22C2×D3×C22⋊C411yescharacteristic
696C4—21no—
697C4—21no—
698C4—21no—
699C4—21no—
700C4—32no—
701C4—42no—
702C4—42no—
703C4—61no—
704C4—61no—
705C4—61no—
706C4—61no—
707C4—61no—
708C4—122no—
709C4—122no—
710C4#577411yescharacteristic
711C4#577511yescharacteristic
712C4#577811yescharacteristic
713C4#577911yescharacteristic
714C3#1777411yescharacteristic, complemented, Sylow
715C2—22no—
716C2—62no—
717C2—121no—
718C2C2×D3×#10111yescharacteristic
719C2#7892511yescharacteristic
720C2#7895711yescharacteristic
subgroupG/H
centerC22C2×D3×C22⋊C4
commutatorC2×C3×C4C23×C4
FrattiniC42C23×D3
FittingC3×#1556C2
socleC22×C3C22×C22⋊C4
prime radicalC2×#235C2×C4
cosocleC3×C42C24
hypercenter#1556D3
hypocenterC3#17774
LCSG ▷ C2×C3×C4 ▷ C22×C3 ▷ C3
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1556

Complements

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

NH ≅ G/Ntype
4. C3×#1556C2semidirect
5. C2×#4547C2semidirect
6. #70820C2semidirect
7. #70820C2semidirect
8. #68431C2semidirect
9. #68428C2semidirect
10. #68425C2semidirect
11. #68424C2semidirect
12. #68422C2semidirect
13. #68420C2semidirect
14. #68419C2semidirect
15. D3×#332C2semidirect
77. #1556D3semidirect
714. C3#17774semidirect

Maximal subgroups

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

subgroupindex
#862152
#793402
C3×#15562
C2×#45472
#708202
#684312
#684282
#684252
#684242
#684222
#684202
#684192
D3×#3322
#177743