Finite Group Databasebeta

← #11870589

Subgroups — #11870589

Order 1152.

851 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10594965C211yesmaximal, characteristic, complemented
2#10594958C211yesmaximal, characteristic, complemented
3#10592417C211yesmaximal, characteristic, complemented
4C3×#4734C211yesmaximal, characteristic
5C3×#4723C211yesmaximal, characteristic, complemented
6#10591170C211yesmaximal, characteristic, complemented
7#10591090C211yesmaximal, characteristic, complemented
8#10590821C211yesmaximal, characteristic, complemented
9#10590796C211yesmaximal, characteristic, complemented
10#10590790C211yesmaximal, characteristic, complemented
11#10590782C211yesmaximal, characteristic, complemented
12#10590777C211yesmaximal, characteristic, complemented
13#10590775C211yesmaximal, characteristic, complemented
14#10590751C211yesmaximal, characteristic, complemented
15#10590742C211yesmaximal, characteristic, complemented
16#81492—31nomaximal
17#80068—31nomaximal
18C2×C3×#235C2211yescharacteristic
19C2×C4×C3⋊Dic3C2211yescharacteristic
20C3×#930C2211yescharacteristic
21C3×#926C2211yescharacteristic
22C3×#924C2211yescharacteristic
23C2×C3×D24C2211yescharacteristic
24C2×C3×#204C2211yescharacteristic
25#67⋊Dic3—21no—
26#67⋊Dic3—21no—
27#67⋊Dic3—21no—
28#63962—21no—
29#63898C2211yescharacteristic
30#63898C2211yescharacteristic
31#63898C2211yescharacteristic
32#63878—21no—
33C4×D3×Dic3—21no—
34#63872C2211yescharacteristic
35#63863C2211yescharacteristic
36#63862—21no—
37#63855—21no—
38#63843C2211yescharacteristic
39#63843C2211yescharacteristic
40#63843C2211yescharacteristic
41C2×#3718C2211yescharacteristic
42C2×#3715C2211yescharacteristic
43C32×C22⋊C8C2211yescharacteristic
44#63657C2211yescharacteristic
45#63641C2211yescharacteristic
46#63641C2211yescharacteristic
47C8×C3⋊Dic3C2211yescharacteristic
48C8×C3⋊Dic3C2211yescharacteristic
49C3×#821C2211yescharacteristic
50C3×#818C2211yescharacteristic
51C3×#817C2211yescharacteristic
52C3×#816C2211yescharacteristic
53C3×#816C2211yescharacteristic
54C3×#816C2211yescharacteristic
55#63576C2211yescharacteristic
56#63574C2211yescharacteristic
57#63565C2211yescharacteristic
58#63562C2211yescharacteristic
59#63562C2211yescharacteristic
60#63562C2211yescharacteristic
61Dic3×#41—31no—
62#5624—31no—
63#5600—31no—
64#5522—31no—
65C3×#485—31no—
66C3×#449—31no—
67#5239—31no—
68#5166—31no—
69Dic3×SD16—31no—
70#5153—31no—
71Dic3×D8—31no—
72#5047—31no—
73#5035—31no—
74#5003—31no—
75#4877—31no—
76#4872—31no—
77#4871—31no—
78#4852—31no—
79#4819—31no—
80#4798—31no—
81#4796—31no—
82#4790—31no—
83#4790—31no—
84#4788—31no—
85#4763—31no—
86#4758—31no—
87#4734D311yescharacteristic
88#4723D311yescharacteristic, complemented
89#4718—31no—
90#4718—31no—
91#4718—61no—
92C22×C32×C4C2311yescharacteristic
93C22×C3⋊Dic3D411yescharacteristic
94C22×C3⋊Dic3D411yescharacteristic
95C2×C3×#67—21no—
96C2×C3×#67—21no—
97C3×#235—22no—
98C3×#235—22no—
99C2×C3×D12C2311yescharacteristic
100C2×C3×D12C2311yescharacteristic
101C2×C3×C4×D3—21no—
102C2×C3×Dic6C2311yescharacteristic
103C2×C3×Dic6C2311yescharacteristic
104C2×D3×Dic3—21no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3—21no—
107C2×C32×C8C2311yescharacteristic
108C2×C32×C8C2311yescharacteristic
109C4×C3⋊Dic3D411yescharacteristic
110C4×C3⋊Dic3D411yescharacteristic
111C4×C3⋊Dic3C2311yescharacteristic
112C4×C3⋊Dic3C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115C3×#217—21no—
116C3×#217—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×C4⋊Dic3C2311yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×C4×Dic3—21no—
124C3×D24—22no—
125C3×#204—22no—
126Dic3⋊Dic3—21no—
127Dic3⋊Dic3—21no—
128Dic3⋊Dic3—21no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131(C2×D3)⋊Dic3—21no—
132(C2×D3)⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136Dic32—21no—
137Dic32—21no—
138Dic32—21no—
139#3718—22no—
140#3715—22no—
141#3102—91noSylow
142C2×C3×#41—31no—
143C2×#235C2×D311yescharacteristic
144C2×C3×SD16—31no—
145C2×C3×D8—31no—
146C3×C22⋊Q8—31no—
147C3×#121—31no—
148C3×#117—31no—
149#947—31no—
150Q8×Dic3—31no—
151Q8×Dic3—31no—
152Q8×Dic3—31no—
153C2×#216—31no—
154C2×#216—31no—
155C2×#215—31no—
156#936—31no—
157#935—61no—
158D4×Dic3—31no—
159D4×Dic3—31no—
160D4×Dic3—31no—
161D4×Dic3—61no—
162D4×Dic3—61no—
163D4×Dic3—61no—
164C2×#214—31no—
165#930C2×D311yescharacteristic
166#926—61no—
167#926C2×D311yescharacteristic
168#924C2×D311yescharacteristic
169C2×C4×Dic3—31no—
170C2×C4×Dic3—31no—
171C2×C4×Dic3—61no—
172C2×C4×Dic3—61no—
173C2×D24C2×D311yescharacteristic
174C2×#204C2×D311yescharacteristic
175#898—61no—
176#893—31no—
177#893—31no—
178#893—31no—
179#892—61no—
180#890—31no—
181#890—31no—
182#887—31no—
183#887—31no—
184#887—31no—
185#886—61no—
186#67⋊C4—61no—
187#67⋊C4—61no—
188#67⋊C4—61no—
189#879—61no—
190#877—61no—
191#872—61no—
192C42×D3—61no—
193C3×#107—31no—
194C3×#106—31no—
195C3×#103—31no—
196C3×#103—31no—
197C3×#103—31no—
198C3×#102—31no—
199C3×C22⋊C8—21no—
200C3×C22⋊C8C2×D311yescharacteristic
201C3×C22⋊C8C2×D311yescharacteristic
202#835—31no—
203#832—31no—
204#832—31no—
205#832—31no—
206#830—31no—
207#830—31no—
208#830—61no—
209#821C2×D311yescharacteristic
210#818C2×D311yescharacteristic
211#817C2×D311yescharacteristic
212#816C2×D311yescharacteristic
213#816C2×D311yescharacteristic
214#816C2×D311yescharacteristic
215Dic3⋊C8—31no—
216Dic3⋊C8—31no—
217Dic3⋊C8—31no—
218Dic3⋊C8—31no—
219Dic3⋊C8—61no—
220Dic3⋊C8—61no—
221C8×Dic3—31no—
222C8×Dic3—31no—
223C8×Dic3—31no—
224C8×Dic3—31no—
225C8×Dic3—61no—
226C8×Dic3—61no—
227#810—31no—
228#809—31no—
229#809—31no—
230#809—31no—
231#808—31no—
232#808—31no—
233#807—31no—
234#807—31no—
235C23×C32C2×D411yescharacteristic
236C22×C3×D3—21no—
237C22×C3×D3—21no—
238C2×C32×C4—21no—
239C2×C32×C4—21no—
240C2×C32×C4C2×D411yescharacteristic
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3—22no—
243C2×C3⋊Dic3—41no—
244C2×C3⋊Dic3C2×D411yescharacteristic
245C2×C3⋊Dic3C2×D411yescharacteristic
246C2×C3⋊Dic3C2×D411yescharacteristic
247C2×C3⋊Dic3C2×D411yescharacteristic
248C3×#67—24no—
249C3×#67—42no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C3×D12—21no—
257C3×D12—21no—
258C3×D12—21no—
259C3×D12#4112yes—
260C3×C4×D3—24no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6#4112yes—
265D3×Dic3—42no—
266D3×Dic3—42no—
267D3×Dic3—42no—
268C32×C8—21no—
269C32×C8—21no—
270C3⋊(C3⋊C8)—21no—
271C3⋊(C3⋊C8)—21no—
272#529—91no—
273C4×#41—91no—
274#485—31no—
275#482—91no—
276#479—91no—
277#478—91no—
278#464—91no—
279#463—91no—
280#452—91no—
281#449—31no—
282C4×Q16—91no—
283C4×SD16—91no—
284C4×SD16—91no—
285C4×D8—91no—
286#431—91no—
287C3×#41—62no—
288C3×#41—62no—
289C2×C3×Q8—31no—
290C2×C3×Q8—31no—
291C2×C3×D4—31no—
292C2×C3×D4—31no—
293C2×C3×D4—61no—
294C2×C3×D4—61no—
295C22×C3×C4—21no—
296C22×C3×C4—61no—
297C22×C3×C4C22×D311yescharacteristic
298C22×C3×C4C22×D311yescharacteristic
299C2×#67—21no—
300C2×#67—21no—
301C22×Dic3—31no—
302C22×Dic3—31no—
303C22×Dic3—31no—
304C22×Dic3—31no—
305C22×Dic3—61no—
306C22×Dic3—61no—
307C22×Dic3—61no—
308C22×Dic3—61no—
309C22×Dic3—61no—
310#235—22no—
311#235—22no—
312C2×D12C22×D311yescharacteristic
313C2×D12C22×D311yescharacteristic
314C2×C4×D3—21no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×C4×D3—61no—
318C2×Dic6C22×D311yescharacteristic
319C2×Dic6C22×D311yescharacteristic
320C3×SD16—62no—
321C3×D8—62no—
322C2×C3×C8—21no—
323C2×C3×C8—21no—
324C2×C3×C8C22×D311yescharacteristic
325C2×C3×C8C22×D311yescharacteristic
326C2×C3×C8C22×D311yescharacteristic
327C2×C3×C8C22×D311yescharacteristic
328C3×C4⋊C4—31no—
329C3×C4⋊C4—31no—
330C3×C4⋊C4—31no—
331C3×C4⋊C4—31no—
332C3×C4⋊C4—61no—
333C3×C22⋊C4—61no—
334C3×C22⋊C4—61no—
335C3×C22⋊C4—61no—
336C3×C42—61no—
337#217—21no—
338#217—21no—
339#217—61no—
340#217—61no—
341#217—61no—
342#217—61no—
343#217—61no—
344#216—62no—
345#216—62no—
346#215—62no—
347#214—62no—
348(C2×D3)⋊C4—21no—
349(C2×D3)⋊C4—61no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354C4⋊Dic3—61no—
355C4⋊Dic3—61no—
356C4⋊Dic3—61no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3C22×D311yescharacteristic
360C4⋊Dic3C22×D311yescharacteristic
361C4⋊Dic3C22×D311yescharacteristic
362C4⋊Dic3C22×D311yescharacteristic
363Dic3⋊C4—21no—
364Dic3⋊C4—61no—
365Dic3⋊C4—61no—
366Dic3⋊C4—61no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369C4×Dic3—21no—
370C4×Dic3—31no—
371C4×Dic3—31no—
372C4×Dic3—31no—
373C4×Dic3—31no—
374C4×Dic3—31no—
375C4×Dic3—31no—
376C4×Dic3—31no—
377C4×Dic3—31no—
378C4×Dic3—61no—
379C4×Dic3—61no—
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C2×C3⋊C8—31no—
389C2×C3⋊C8—31no—
390C2×C3⋊C8—31no—
391C2×C3⋊C8—31no—
392C2×C3⋊C8—61no—
393C2×C3⋊C8—61no—
394D24—22no—
395#204—22no—
396C22×C32—21no—
397C22×C32—21no—
398C22×C32—21no—
399C22×C32C22×D411yescharacteristic
400C2×C3×D3—22no—
401C2×C3×D3—41no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C32×C4—21no—
407C32×C4C2×#4111yescharacteristic
408C32×C4C2×#4111yescharacteristic
409C3⋊Dic3—21no—
410C3⋊Dic3—21no—
411C3⋊Dic3—21no—
412C3⋊Dic3#13512yes—
413C3×Dic3—22no—
414C3×Dic3—41no—
415C3×Dic3—41no—
416C3×Dic3—41no—
417C3×Dic3—41no—
418C3×Dic3—41no—
419C2×#41—31no—
420C2×Q16—91no—
421C2×SD16—31no—
422C2×SD16—91no—
423C2×D8—31no—
424#126—181no—
425#125—91no—
426#124—91no—
427#123—181no—
428C22⋊Q8—31no—
429#121—31no—
430C4×Q8—91no—
431C4×Q8—91no—
432C4×Q8—91no—
433C4×D4—91no—
434C4×D4—91no—
435C4×D4—91no—
436C4×D4—181no—
437C4×D4—181no—
438C4×D4—181no—
439#117—31no—
440#117—181no—
441#117—181no—
442C2×C42—91no—
443C2×C42—181no—
444#107—31no—
445#107—91no—
446#106—31no—
447#106—91no—
448C4⋊C8—91no—
449C4⋊C8—91no—
450#103—31no—
451#103—31no—
452#103—31no—
453#103—91no—
454#102—31no—
455#102—91no—
456#102—91no—
457#102—91no—
458C22⋊C8—91no—
459C22⋊C8D3211yescharacteristic
460C4×C8—91no—
461C4×C8—91no—
462C23×C3—21no—
463C23×C3—61no—
464C23×C3—61no—
465C23×C3D3×D411yescharacteristic
466C23×C3D3×D411yescharacteristic
467C22×D3—21no—
468C22×D3—21no—
469C3×Q8—32no—
470C3×Q8—61no—
471C3×Q8—61no—
472C3×Q8—61no—
473C3×D4—32no—
474C3×D4—64no—
475C3×D4—61no—
476C3×D4—61no—
477C3×D4—61no—
478C3×D4—122no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—41no—
486C2×C3×C4—41no—
487C2×C3×C4—64no—
488C2×C3×C4—61no—
489C2×C3×C4—61no—
490C2×C3×C4—61no—
491C2×C3×C4—61no—
492C2×C3×C4—61no—
493C2×C3×C4—61no—
494C2×C3×C4D3×D411yescharacteristic
495C2×C3×C4D3×D411yescharacteristic
496C2×C3×C4C23×D311yescharacteristic
497C2×C3×C4C23×D311yescharacteristic
498#67—24no—
499#67—42no—
500C2×Dic3—21no—
501C2×Dic3—21no—
502C2×Dic3—21no—
503C2×Dic3—21no—
504C2×Dic3—21no—
505C2×Dic3—21no—
506C2×Dic3—31no—
507C2×Dic3—31no—
508C2×Dic3—31no—
509C2×Dic3—31no—
510C2×Dic3—31no—
511C2×Dic3—31no—
512C2×Dic3—31no—
513C2×Dic3—31no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—62no—
519C2×Dic3—62no—
520C2×Dic3—64no—
521C2×Dic3—122no—
522C2×Dic3—122no—
523C2×Dic3—122no—
524C2×Dic3—121no—
525C2×Dic3—121no—
526C2×Dic3—122no—
527D12—21no—
528D12—21no—
529D12—21no—
530D12#23712yes—
531C4×D3—24no—
532C4×D3—122no—
533C4×D3—122no—
534C4×D3—122no—
535Dic6—21no—
536Dic6—21no—
537Dic6—21no—
538Dic6#23712yes—
539C3×C8—21no—
540C3×C8—21no—
541C3×C8—21no—
542C3×C8—21no—
543C3×C8—41no—
544C3×C8—41no—
545C3⋊C8—61no—
546C3⋊C8—61no—
547C3⋊C8—61no—
548C3⋊C8—61no—
549C3⋊C8—121no—
550C3⋊C8—121no—
551C2×C32—41no—
552C2×C32#52511yescharacteristic
553C2×C32C2×#13511yescharacteristic
554C2×C32#57511yescharacteristic
555C3×D3—42no—
556C3×D3—81no—
557#41—62no—
558#41—62no—
559C2×Q8—31no—
560C2×Q8—31no—
561C2×D4—31no—
562C2×D4—31no—
563C2×D4—61no—
564C2×D4—61no—
565C22×C4—61no—
566C22×C4—91no—
567C22×C4—91no—
568C22×C4—181no—
569C22×C4—181no—
570C22×C4—181no—
571C22×C4C2×D3211yescharacteristic
572Q16—182no—
573SD16—62no—
574SD16—182no—
575D8—62no—
576C2×C8—91no—
577C2×C8—91no—
578C2×C8C2×D3211yescharacteristic
579C2×C8C2×D3211yescharacteristic
580C4⋊C4—31no—
581C4⋊C4—31no—
582C4⋊C4—31no—
583C4⋊C4—31no—
584C4⋊C4—61no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C22⋊C4—61no—
591C22⋊C4—61no—
592C22⋊C4—61no—
593C22⋊C4—181no—
594C22⋊C4—181no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C42—61no—
599C42—91no—
600C42—91no—
601C42—91no—
602C42—91no—
603C42—181no—
604C42—181no—
605C42—181no—
606C22×C3—22no—
607C22×C3—21no—
608C22×C3—21no—
609C22×C3—21no—
610C22×C3—21no—
611C22×C3—21no—
612C22×C3—21no—
613C22×C3—21no—
614C22×C3—41no—
615C22×C3—41no—
616C22×C3—62no—
617C22×C3—121no—
618C22×C3—121no—
619C22×C3—121no—
620C22×C3—121no—
621C22×C3—121no—
622C22×C3C2×D3×D411yescharacteristic
623C22×C3C2×D3×D411yescharacteristic
624C2×D3—22no—
625C2×D3—41no—
626C2×D3—41no—
627C2×D3—41no—
628C2×D3—41no—
629C2×D3—41no—
630C3×C4—21no—
631C3×C4—21no—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—41no—
635C3×C4—62no—
636C3×C4—121no—
637C3×C4—121no—
638C3×C4—121no—
639C3×C4—121no—
640C3×C4—121no—
641C3×C4C2×#23711yescharacteristic
642C3×C4C2×#23711yescharacteristic
643C3×C4D3×#4111yescharacteristic
644C3×C4D3×#4111yescharacteristic
645Dic3—22no—
646Dic3—32no—
647Dic3—32no—
648Dic3—41no—
649Dic3—41no—
650Dic3—41no—
651Dic3—41no—
652Dic3—41no—
653Dic3—62no—
654Dic3—62no—
655Dic3—62no—
656Dic3—61no—
657Dic3—61no—
658Dic3—61no—
659Dic3—61no—
660Dic3—61no—
661Dic3—61no—
662Dic3—121no—
663C32#310211yescharacteristic, complemented, Sylow
664C23—61no—
665C23—61no—
666C23#380211yescharacteristic
667Q8—32no—
668Q8—61no—
669Q8—61no—
670Q8—61no—
671D4—32no—
672D4—64no—
673D4—61no—
674D4—61no—
675D4—61no—
676D4—122no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—64no—
680C2×C4—61no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—91no—
687C2×C4—91no—
688C2×C4—91no—
689C2×C4—91no—
690C2×C4—182no—
691C2×C4—362no—
692C2×C4—362no—
693C2×C4—362no—
694C2×C4—361no—
695C2×C4#380211yescharacteristic
696C2×C4C22×D3211yescharacteristic
697C8—21no—
698C8—21no—
699C8—181no—
700C8—181no—
701C2×C3—21no—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—42no—
705C2×C3—41no—
706C2×C3—41no—
707C2×C3—122no—
708C2×C3—241no—
709C2×C3#558611yescharacteristic
710C2×C3#565611yescharacteristic
711C2×C3D3×#13511yescharacteristic
712C2×C3D3×#13511yescharacteristic
713C2×C3#577311yescharacteristic
714C2×C3#577711yescharacteristic
715D3—42no—
716D3—81no—
717C22—21no—
718C22—21no—
719C22—21no—
720C22—62no—
721C22—121no—
722C22—121no—
723C22—121no—
724C22—121no—
725C22—121no—
726C22C2×#380211yescharacteristic
727C4—21no—
728C4—62no—
729C4—92no—
730C4—121no—
731C4—121no—
732C4—121no—
733C4—121no—
734C4—121no—
735C4—181no—
736C4—181no—
737C4—181no—
738C4D3×#23711yescharacteristic
739C4D3×#23711yescharacteristic
740C3—21no—
741C3#8006811yescharacteristic, complemented
742C3#8149211yescharacteristic, complemented
743C2—41no—
744C2—122no—
745C2—241no—
746C2#1059408211yescharacteristic
747C2#1059468411yescharacteristic
748C2#1059471811yescharacteristic
subgroupG/H
centerC22C2×#3802
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C22⋊C8C22
socleC22×C32C22×D4
prime radicalC3×#4734C2
hypercenterC22⋊C8D32
hypocenterC32#3102
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22⋊C8

Complements

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

NH ≅ G/Ntype
1. #10594965C2semidirect
2. #10594958C2semidirect
3. #10592417C2semidirect
5. C3×#4723C2semidirect
6. #10591170C2semidirect
7. #10591090C2semidirect
8. #10590821C2semidirect
9. #10590796C2semidirect
10. #10590790C2semidirect
11. #10590782C2semidirect
12. #10590777C2semidirect
13. #10590775C2semidirect
14. #10590751C2semidirect
15. #10590742C2semidirect
88. #4723D3semidirect
663. C32#3102semidirect
741. C3#80068semidirect
742. C3#81492semidirect

Maximal subgroups

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

subgroupindex
#105949652
#105949582
#105924172
C3×#47342
C3×#47232
#105911702
#105910902
#105908212
#105907962
#105907902
#105907822
#105907772
#105907752
#105907512
#105907422
#814923
#800683