Finite Group Databasebeta

← #11868038

Subgroups — #11868038

Order 1152.

1035 conjugacy classes of subgroups.

The subgroup lattice has 794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10596293C211yesmaximal, characteristic, complemented
2C2×C3×#950C211yesmaximal, characteristic, complemented
3#10594795C211yesmaximal, characteristic, complemented
4C2×#63817C211yesmaximal, characteristic, complemented
5C3×#5237C211yesmaximal, characteristic, complemented
6#10591543C212yesmaximal, complemented
7#10591542C212yesmaximal, complemented
8#10591407C212yesmaximal, complemented
9#10591406C212yesmaximal, complemented
10C2×#63577C211yesmaximal, characteristic, complemented
11#10591076C211yesmaximal, characteristic, complemented
12#83928—31nomaximal
13#78719—31nomaximal
14C2×C32×#41C2211yescharacteristic
15C2×#3828C2211yescharacteristic
16C2×C3×#235C2211yescharacteristic
17#64160—21no—
18#64159—22no—
19#64158—21no—
20#64151C2212yes—
21#64141C2212yes—
22C2×#3748C2211yescharacteristic
23C3×#950—21no—
24C3×#950—21no—
25C3×#950—21no—
26C3×#950—21no—
27C2×C3×#216C2211yescharacteristic, complemented
28C2×C3×#215C2211yescharacteristic, complemented
29C2×C3×#214C2211yescharacteristic, complemented
30C2×C3×#213C2211yescharacteristic, complemented
31C2×C3×#208C2211yescharacteristic
32C2×C3×#208C2211yescharacteristic
33C22×C3×C3⋊C8C2211yescharacteristic
34#63833C2212yes—
35#63831—21no—
36#63830C2212yes—
37#63829—22no—
38#63825—21no—
39C2×#3712—21no—
40#63817—21no—
41#63817—21no—
42#63817C2212yes—
43#63817C2212yes—
44C2×#3710—21no—
45C3×#836C2212yescomplemented
46C3×#833C2212yescomplemented
47#63577C2212yescomplemented
48#63577C2212yescomplemented
49#63560C2212yescomplemented
50#63558C2212yescomplemented
51C2×C3×#135—31no—
52#5822—31no—
53#5822—31no—
54#5822—31no—
55#5822—61no—
56C2×#950D311yescharacteristic, complemented
57#5748—31no—
58C2×#907—31no—
59C2×#901—31no—
60C3×#413—31no—
61#5237—31no—
62#5237D311yescharacteristic, complemented
63#5192—32no—
64#5177—32no—
65#5177—32no—
66#5160—32no—
67#5132—31no—
68C2×#822—31no—
69C2×#819—31no—
70#4755—32no—
71#4754—32no—
72#4749—32no—
73#4748—32no—
74C32×#41—21no—
75C32×#41—21no—
76C32×#41—21no—
77C32×#41—21no—
78C2×C32×Q8C2311yescharacteristic
79C2×C32×D4—21no—
80C2×C32×D4C2311yescharacteristic
81C22×C32×C4—21no—
82C22×C32×C4C2311yescharacteristic
83C2×#638—21no—
84#3828—21no—
85#3828—21no—
86#3828D412yes—
87#3828C2312yes—
88C2×C4⋊(C3⋊D3)D411yescharacteristic
89C2×C4×C3⋊D3—21no—
90C2×#634D411yescharacteristic
91C2×C3×#67—21no—
92C3×#235—21no—
93C3×#235—21no—
94C3×#235—21no—
95C3×#235—21no—
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3—21no—
98C2×C3×Dic6C2311yescharacteristic
99#3756—22no—
100#3755—22no—
101#3754—22no—
102#3753—22no—
103#3748—21no—
104#3748C2312yes—
105C2×C3⋊(C3⋊C8)—21no—
106C3×#216—21no—
107C3×#216—21no—
108C3×#215—21no—
109C3×#215—21no—
110C3×#214—21no—
111C3×#214—21no—
112C3×#213—21no—
113C3×#213—21no—
114C3×#208—21no—
115C3×#208—21no—
116C3×#208C2312yes—
117C3×#208C2312yes—
118C2×C3×C3⋊C8—21no—
119C2×C3×C3⋊C8—21no—
120C2×C3×C3⋊C8D411yescharacteristic
121C2×C3×C3⋊C8D411yescharacteristic
122C2×C3×C3⋊C8D411yescharacteristic
123C2×C3×C3⋊C8D411yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126#3719—22no—
127#3717—22no—
128#3716—22no—
129#3714—22no—
130#3712—22no—
131#3712—22no—
132#3710—22no—
133#3710—22no—
134#3067—91noSylow
135C2×C3×#41—21no—
136C2×C3×#41—31no—
137C2×C3×#41C2×D311yescharacteristic
138C2×C3×#41C2×D311yescharacteristic
139C2×#235—31no—
140C2×#235—31no—
141C2×#235—61no—
142C2×#235C2×D311yescharacteristic
143C3×#135—61no—
144C3×#135—61no—
145C3×#135—61no—
146C3×#135—61no—
147C2×C3×Q16—31no—
148C2×C3×SD16—31no—
149C2×C3×SD16—31no—
150C2×C3×D8—31no—
151C2×C3×M16—31no—
152C2×C3×M16—31no—
153C22×C3×C8—31no—
154#951—61no—
155#951—61no—
156#951—61no—
157#951—62no—
158#950—21no—
159#950—21no—
160#950—21no—
161#950—21no—
162#950—62no—
163#950—62no—
164#950—62no—
165#950—64no—
166#949—61no—
167#949—61no—
168#949—61no—
169#949—62no—
170C2×#216C2×D311yescharacteristic, complemented
171#942—32no—
172#942—32no—
173#942—32no—
174#942—62no—
175C2×#215C2×D311yescharacteristic, complemented
176C2×#214C2×D311yescharacteristic, complemented
177#932—32no—
178#932—32no—
179#932—32no—
180#932—62no—
181C2×#213C2×D311yescharacteristic, complemented
182C2×#208—31no—
183C2×#208—31no—
184C2×#208—61no—
185C2×#208C2×D311yescharacteristic
186C2×#208C2×D311yescharacteristic
187C22×C3⋊C8C2×D311yescharacteristic
188#909—32no—
189#909—61no—
190#908—32no—
191#908—61no—
192#907—32no—
193#907—32no—
194#907—61no—
195#907—61no—
196#904—62no—
197#901—32no—
198#901—32no—
199#901—61no—
200#901—61no—
201C2×ΓL(1,𝔽25)—61no—
202C2×ΓL(1,𝔽25)—61no—
203C2×D3×C8—61no—
204C2×D3×C8—61no—
205C3×#101—32no—
206C3×#100—32no—
207#836—32no—
208#836C2×D312yescomplemented
209#833—32no—
210#833C2×D312yescomplemented
211#824—32no—
212#823—32no—
213#822—32no—
214#822—32no—
215#819—32no—
216#819—32no—
217C23×C32—21no—
218C23×C32#4111yescharacteristic
219C22×C3⋊D3—21no—
220C22×C3×D3—21no—
221C32×Q8—21no—
222C32×Q8—21no—
223C32×D4—21no—
224C32×D4—21no—
225C32×D4—41no—
226C32×D4—41no—
227C2×C32×C4—21no—
228C2×C32×C4—41no—
229C2×C32×C4—41no—
230C2×C32×C4C2×D411yescharacteristic
231C2×C32×C4C2×D411yescharacteristic
232C2×C32×C4C2×D411yescharacteristic
233C2×C32×C4C2×D411yescharacteristic
234C2×C32×C4#4111yescharacteristic
235C2×C32×C4C2411yescharacteristic
236#638—22no—
237#638—22no—
238C2×C3⋊Dic3—21no—
239C4⋊(C3⋊D3)—21no—
240C4⋊(C3⋊D3)C2×D412yes—
241C4×C3⋊D3—22no—
242C4×C3⋊D3—22no—
243#634—21no—
244#634C2×D412yes—
245C3×#67—41no—
246C3×#67—41no—
247C2×C3×Dic3—21no—
248C3×D12—21no—
249C3×D12—21no—
250C3×C4×D3—41no—
251C3×C4×D3—41no—
252C3×Dic6—21no—
253C3×Dic6—21no—
254C3⋊(C3⋊C8)—22no—
255C3×C3⋊C8—22no—
256C3×C3⋊C8—22no—
257C3×C3⋊C8C2×D411yescharacteristic
258C3×C3⋊C8C2×D411yescharacteristic
259C3×C3⋊C8C2×D411yescharacteristic
260C3×C3⋊C8C2×D411yescharacteristic
261#575—91no—
262#575—91no—
263C2×#135—31no—
264C2×#131—91no—
265#473—92no—
266#472—92no—
267#471—92no—
268#471—92no—
269C2×#108—91no—
270#413—31no—
271#413—91no—
272C3×#41—22no—
273C3×#41—22no—
274C3×#41—21no—
275C3×#41—21no—
276C3×#41—21no—
277C3×#41—21no—
278C3×#41—21no—
279C3×#41—21no—
280C3×#41—21no—
281C3×#41—21no—
282C3×#41—41no—
283C3×#41—41no—
284C3×#41—61no—
285C3×#41—61no—
286C3×#41—61no—
287C3×#41—61no—
288C2×C3×Q8—21no—
289C2×C3×Q8—31no—
290C2×C3×Q8C22×D311yescharacteristic
291C2×C3×Q8C22×D311yescharacteristic
292C2×C3×D4—21no—
293C2×C3×D4—21no—
294C2×C3×D4—21no—
295C2×C3×D4—31no—
296C2×C3×D4—41no—
297C2×C3×D4—61no—
298C2×C3×D4C22×D311yescharacteristic
299C2×C3×D4C22×D311yescharacteristic
300C22×C3×C4—21no—
301C22×C3×C4—21no—
302C22×C3×C4—21no—
303C22×C3×C4—41no—
304C22×C3×C4—61no—
305C22×C3×C4C22×D311yescharacteristic
306C22×C3×C4C22×D311yescharacteristic
307C2×#67—21no—
308C2×#67—61no—
309C2×#67—61no—
310C2×#67—121no—
311#235—21no—
312#235—21no—
313#235—21no—
314#235—21no—
315#235—32no—
316#235—32no—
317#235—32no—
318#235—32no—
319#235—62no—
320#235—62no—
321#235—61no—
322#235—61no—
323#235—61no—
324#235—61no—
325#235—121no—
326#235—121no—
327C2×D12—31no—
328C2×D12—31no—
329C2×D12—61no—
330C2×D12C22×D311yescharacteristic
331C2×C4×D3—21no—
332C2×C4×D3—61no—
333C2×C4×D3—61no—
334C2×C4×D3—121no—
335C2×Dic6—31no—
336C2×Dic6—31no—
337C2×Dic6—61no—
338C2×Dic6C22×D311yescharacteristic
339C3×Q16—61no—
340C3×Q16—61no—
341C3×SD16—61no—
342C3×SD16—61no—
343C3×SD16—61no—
344C3×SD16—61no—
345C3×D8—61no—
346C3×D8—61no—
347C3×M16—32no—
348C3×M16—32no—
349C3×M16—61no—
350C3×M16—61no—
351C2×C3×C8—31no—
352C2×C3×C8—31no—
353C2×C3×C8—31no—
354C2×C3×C8—31no—
355C2×C3×C8—31no—
356C2×C3×C8—31no—
357C2×C3×C8—61no—
358C2×C3×C8—61no—
359#216—21no—
360#216—21no—
361#216—62no—
362#216—62no—
363#216—62no—
364#216—64no—
365#215—21no—
366#215—21no—
367#215—62no—
368#215—62no—
369#215—62no—
370#215—64no—
371#214—21no—
372#214—21no—
373#214—62no—
374#214—62no—
375#214—62no—
376#214—64no—
377#213—21no—
378#213—21no—
379#213—62no—
380#213—62no—
381#213—62no—
382#213—64no—
383#208—21no—
384#208—21no—
385#208—32no—
386#208—32no—
387#208—62no—
388#208—62no—
389#208—61no—
390#208—61no—
391#208C22×D312yes—
392#208C22×D312yes—
393C2×C3⋊C8—21no—
394C2×C3⋊C8—21no—
395C2×C3⋊C8—62no—
396C2×C3⋊C8—61no—
397C2×C3⋊C8—61no—
398C2×C3⋊C8#6711yescharacteristic
399C2×C3⋊C8#6711yescharacteristic
400C2×C3⋊C8#6711yescharacteristic
401C2×C3⋊C8#6711yescharacteristic
402C2×C3⋊C8C22×D311yescharacteristic
403C2×C3⋊C8C22×D311yescharacteristic
404Dic12—62no—
405D24—62no—
406#204—62no—
407#204—62no—
408ΓL(1,𝔽25)—62no—
409ΓL(1,𝔽25)—62no—
410ΓL(1,𝔽25)—62no—
411ΓL(1,𝔽25)—62no—
412D3×C8—62no—
413D3×C8—62no—
414D3×C8—62no—
415D3×C8—62no—
416C22×C32—41no—
417C22×C32—41no—
418C22×C32—81no—
419C22×C32#12111yescharacteristic
420C22×C32#12111yescharacteristic
421C22×C32C2×#4111yescharacteristic
422C2×C3⋊D3—22no—
423C2×C3⋊D3—42no—
424C2×C3×D3—41no—
425C2×C3×D3—81no—
426C32×C4—41no—
427C32×C4#12111yescharacteristic
428C32×C4#12111yescharacteristic
429C32×C4C22×D411yescharacteristic
430C32×C4C22×D411yescharacteristic
431C3⋊Dic3—22no—
432C3×Dic3—41no—
433C2×#41—31no—
434C2×#41—91no—
435C2×#41D3211yescharacteristic
436#137—92no—
437#137—92no—
438#137—181no—
439#137—181no—
440AGL(1,ℤ/8)—92no—
441AGL(1,ℤ/8)—92no—
442AGL(1,ℤ/8)—181no—
443AGL(1,ℤ/8)—181no—
444#135—61no—
445#135—61no—
446#135—61no—
447#135—61no—
448#135—182no—
449#135—182no—
450C2×Q16—31no—
451C2×SD16—31no—
452C2×SD16—31no—
453C2×D8—31no—
454#131—92no—
455#131—92no—
456#131—181no—
457#131—181no—
458C2×M16—31no—
459C2×M16—31no—
460C2×M16—91no—
461C2×M16—181no—
462C22×C8—31no—
463C22×C8—181no—
464#108—92no—
465#108—92no—
466#101—32no—
467#101—92no—
468#100—32no—
469#100—92no—
470C23×C3—21no—
471C23×C3—21no—
472C23×C3—21no—
473C23×C3—41no—
474C23×C3—61no—
475C23×C3#23511yescharacteristic
476C23×C3#23711yescharacteristic
477C22×D3—21no—
478C22×D3—61no—
479C22×D3—61no—
480C22×D3—121no—
481C3×Q8—22no—
482C3×Q8—21no—
483C3×Q8—21no—
484C3×Q8—21no—
485C3×Q8—21no—
486C3×Q8—41no—
487C3×Q8—61no—
488C3×Q8—61no—
489C3×D4—22no—
490C3×D4—21no—
491C3×D4—21no—
492C3×D4—21no—
493C3×D4—21no—
494C3×D4—41no—
495C3×D4—42no—
496C3×D4—42no—
497C3×D4—41no—
498C3×D4—41no—
499C3×D4—41no—
500C3×D4—41no—
501C3×D4—61no—
502C3×D4—61no—
503C3×D4—121no—
504C3×D4—121no—
505C2×C3×C4—21no—
506C2×C3×C4—21no—
507C2×C3×C4—21no—
508C2×C3×C4—21no—
509C2×C3×C4—21no—
510C2×C3×C4—21no—
511C2×C3×C4—21no—
512C2×C3×C4—21no—
513C2×C3×C4—41no—
514C2×C3×C4—42no—
515C2×C3×C4—42no—
516C2×C3×C4—41no—
517C2×C3×C4—41no—
518C2×C3×C4—41no—
519C2×C3×C4—41no—
520C2×C3×C4—61no—
521C2×C3×C4—121no—
522C2×C3×C4—121no—
523C2×C3×C4#23511yescharacteristic
524C2×C3×C4D3×D411yescharacteristic
525C2×C3×C4D3×D411yescharacteristic
526C2×C3×C4D3×D411yescharacteristic
527C2×C3×C4D3×D411yescharacteristic
528C2×C3×C4D3×D411yescharacteristic
529C2×C3×C4D3×D411yescharacteristic
530C2×C3×C4#23711yescharacteristic
531C2×C3×C4C2×#6711yescharacteristic
532C2×C3×C4C2×#6711yescharacteristic
533C2×C3×C4C23×D311yescharacteristic
534C2×C3×C4C23×D311yescharacteristic
535#67—41no—
536#67—41no—
537#67—62no—
538#67—62no—
539#67—62no—
540#67—62no—
541#67—122no—
542#67—122no—
543C2×Dic3—21no—
544C2×Dic3—61no—
545C2×Dic3—61no—
546C2×Dic3—121no—
547D12—21no—
548D12—21no—
549D12—32no—
550D12—32no—
551D12—62no—
552D12—61no—
553D12—61no—
554D12—121no—
555C4×D3—41no—
556C4×D3—41no—
557C4×D3—62no—
558C4×D3—62no—
559C4×D3—62no—
560C4×D3—62no—
561C4×D3—122no—
562C4×D3—122no—
563Dic6—21no—
564Dic6—21no—
565Dic6—32no—
566Dic6—32no—
567Dic6—62no—
568Dic6—61no—
569Dic6—61no—
570Dic6—121no—
571C3×C8—31no—
572C3×C8—31no—
573C3×C8—31no—
574C3×C8—31no—
575C3×C8—62no—
576C3×C8—62no—
577C3⋊C8—22no—
578C3⋊C8—22no—
579C3⋊C8—64no—
580C3⋊C8—62no—
581C3⋊C8—62no—
582C3⋊C8C2×#6711yescharacteristic
583C3⋊C8C2×#6711yescharacteristic
584C3⋊C8C2×#6711yescharacteristic
585C3⋊C8C2×#6711yescharacteristic
586C2×C32—21no—
587C2×C32—21no—
588C2×C32—21no—
589C2×C32—81no—
590C2×C32C2×#12111yescharacteristic
591C3⋊D3—42no—
592C3×D3—81no—
593#41—21no—
594#41—21no—
595#41—21no—
596#41—21no—
597#41—61no—
598#41—61no—
599#41—61no—
600#41—61no—
601#41—92no—
602#41—92no—
603#41—181no—
604#41—181no—
605C2×Q8—31no—
606C2×Q8—91no—
607C2×Q8C2×D3211yescharacteristic
608C2×D4—21no—
609C2×D4—31no—
610C2×D4—61no—
611C2×D4—91no—
612C2×D4—181no—
613C2×D4C2×D3211yescharacteristic
614C22×C4—21no—
615C22×C4—61no—
616C22×C4—181no—
617C22×C4C2×D3211yescharacteristic
618Q16—61no—
619Q16—61no—
620Q16—182no—
621Q16—182no—
622SD16—61no—
623SD16—61no—
624SD16—61no—
625SD16—61no—
626SD16—182no—
627SD16—182no—
628SD16—182no—
629SD16—182no—
630D8—61no—
631D8—61no—
632D8—182no—
633D8—182no—
634M16—32no—
635M16—32no—
636M16—61no—
637M16—61no—
638M16—92no—
639M16—182no—
640M16—182no—
641M16—181no—
642C2×C8—31no—
643C2×C8—31no—
644C2×C8—31no—
645C2×C8—31no—
646C2×C8—31no—
647C2×C8—31no—
648C2×C8—61no—
649C2×C8—61no—
650C2×C8—182no—
651C2×C8—182no—
652C2×C8—181no—
653C22×C3—21no—
654C22×C3—21no—
655C22×C3—21no—
656C22×C3—41no—
657C22×C3—41no—
658C22×C3—42no—
659C22×C3—41no—
660C22×C3—41no—
661C22×C3—81no—
662C22×C3—81no—
663C22×C3—81no—
664C22×C3—82no—
665C22×C3—121no—
666C22×C3—241no—
667C22×C3#88411yescharacteristic
668C22×C3#88411yescharacteristic
669C22×C3#93811yescharacteristic
670C22×C3#93811yescharacteristic
671C22×C3C2×#23511yescharacteristic
672C22×C3C2×#23711yescharacteristic
673C2×D3—41no—
674C2×D3—62no—
675C2×D3—62no—
676C2×D3—81no—
677C2×D3—122no—
678C2×D3—122no—
679C2×D3—122no—
680C2×D3—242no—
681C3×C4—21no—
682C3×C4—21no—
683C3×C4—21no—
684C3×C4—21no—
685C3×C4—42no—
686C3×C4—41no—
687C3×C4—41no—
688C3×C4—121no—
689C3×C4#88411yescharacteristic
690C3×C4#88411yescharacteristic
691C3×C4#93811yescharacteristic
692C3×C4#93811yescharacteristic
693C3×C4C2×D3×D411yescharacteristic
694C3×C4C2×D3×D411yescharacteristic
695C3×C4C2×D3×D411yescharacteristic
696C3×C4C22×#6711yescharacteristic
697Dic3—41no—
698Dic3—62no—
699Dic3—62no—
700Dic3—122no—
701C32#306711yescharacteristic, complemented, Sylow
702C23—21no—
703C23—61no—
704C23—181no—
705C23#380411yescharacteristic
706Q8—21no—
707Q8—21no—
708Q8—61no—
709Q8—61no—
710Q8—92no—
711Q8—181no—
712D4—21no—
713D4—21no—
714D4—41no—
715D4—41no—
716D4—61no—
717D4—61no—
718D4—92no—
719D4—121no—
720D4—121no—
721D4—182no—
722D4—182no—
723D4—181no—
724C2×C4—21no—
725C2×C4—41no—
726C2×C4—41no—
727C2×C4—61no—
728C2×C4—121no—
729C2×C4—121no—
730C2×C4—181no—
731C2×C4—182no—
732C2×C4—182no—
733C2×C4#380411yescharacteristic
734C2×C4D3×#6711yescharacteristic
735C2×C4D3×#6711yescharacteristic
736C2×C4#381111yescharacteristic
737C2×C4#381111yescharacteristic
738C2×C4C22×D3211yescharacteristic
739C8—31no—
740C8—31no—
741C8—31no—
742C8—31no—
743C8—62no—
744C8—62no—
745C8—182no—
746C2×C3—21no—
747C2×C3—21no—
748C2×C3—21no—
749C2×C3—21no—
750C2×C3—21no—
751C2×C3—21no—
752C2×C3—21no—
753C2×C3—41no—
754C2×C3—41no—
755C2×C3—41no—
756C2×C3—82no—
757C2×C3—81no—
758C2×C3—81no—
759C2×C3—241no—
760C2×C3C2×#88411yescharacteristic
761C2×C3C2×#93811yescharacteristic
762D3—81no—
763D3—122no—
764D3—122no—
765D3—242no—
766C22—41no—
767C22—41no—
768C22—81no—
769C22—121no—
770C22—182no—
771C22—241no—
772C22—362no—
773C22#6395811yescharacteristic
774C22#6395811yescharacteristic
775C22C2×#380411yescharacteristic
776C4—41no—
777C4—121no—
778C4—182no—
779C4#6395811yescharacteristic
780C4#6395811yescharacteristic
781C4C2×D3×#6711yescharacteristic
782C4C2×#381111yescharacteristic
783C3—21no—
784C3#7871911yescharacteristic, complemented
785C3#8392811yescharacteristic, complemented
786C2—21no—
787C2—21no—
788C2—21no—
789C2—81no—
790C2—241no—
791C2—362no—
792C2C2×#6395811yescharacteristic
subgroupG/H
centerC4#63958
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×#41C22
socleC2×C32C2×#121
hypercenterC2×#41D32
hypocenterC32#3067
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C4 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
1. #10596293C2semidirect
2. C2×C3×#950C2semidirect
3. #10594795C2semidirect
4. C2×#63817C2semidirect
5. C3×#5237C2semidirect
6. #10591543C2semidirect
7. #10591542C2semidirect
8. #10591407C2semidirect
9. #10591406C2semidirect
10. C2×#63577C2semidirect
11. #10591076C2semidirect
27. C2×C3×#216C22semidirect
28. C2×C3×#215C22semidirect
29. C2×C3×#214C22semidirect
30. C2×C3×#213C22semidirect
45. C3×#836C22semidirect
46. C3×#833C22semidirect
47. #63577C22semidirect
48. #63577C22semidirect
49. #63560C22semidirect
50. #63558C22semidirect
56. C2×#950D3semidirect
62. #5237D3semidirect
170. C2×#216C2×D3semidirect
175. C2×#215C2×D3semidirect
176. C2×#214C2×D3semidirect
181. C2×#213C2×D3semidirect
208. #836C2×D3semidirect
210. #833C2×D3semidirect
701. C32#3067semidirect
784. C3#78719semidirect
785. C3#83928semidirect

Maximal subgroups

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

subgroupindex
#105962932
C2×C3×#9502
#105947952
C2×#638172
C3×#52372
#105915432
#105915422
#105914072
#105914062
C2×#635772
#105910762
#839283
#787193