Finite Group Databasebeta

← #11872282

Subgroups — #11872282

Order 1152.

840 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595041C211yesmaximal, characteristic, complemented
2#10594986C211yesmaximal, characteristic, complemented
3#10592419C211yesmaximal, characteristic, complemented
4C3×#4736C211yesmaximal, characteristic, complemented
5C3×#4734C211yesmaximal, characteristic, complemented
6#10591161C211yesmaximal, characteristic, complemented
7#10591091C211yesmaximal, characteristic, complemented
8#10590876C211yesmaximal, characteristic, complemented
9#10590821C211yesmaximal, characteristic, complemented
10#10590780C211yesmaximal, characteristic, complemented
11#10590779C211yesmaximal, characteristic, complemented
12#10590777C211yesmaximal, characteristic, complemented
13#10590749C211yesmaximal, characteristic, complemented
14#10590742C211yesmaximal, characteristic, complemented
15#10590741C211yesmaximal, characteristic, complemented
16#81272—31nomaximal
17#80072—31nomaximal
18C2×C3×#235C2211yescharacteristic
19#64135C2211yescharacteristic
20C3×#930C2211yescharacteristic
21C3×#930C2211yescharacteristic
22C2×C3×C4⋊Dic3C2211yescharacteristic
23C2×C3×D24C2211yescharacteristic
24C2×C3×#204C2211yescharacteristic
25Dic3×#67—21no—
26Dic3×#67—21no—
27#63970—21no—
28#63970—21no—
29#63914C2211yescharacteristic
30#63898C2211yescharacteristic
31#63898C2211yescharacteristic
32#63898C2211yescharacteristic
33#63898C2211yescharacteristic
34#63891—21no—
35#63891—21no—
36D3×C4⋊Dic3—21no—
37#63872C2211yescharacteristic
38#63843C2211yescharacteristic
39#63843C2211yescharacteristic
40#63841—21no—
41C2×#3715C2211yescharacteristic
42C2×#3713C2211yescharacteristic
43C32×C22⋊C8C2211yescharacteristic
44#63657C2211yescharacteristic
45#63642C2211yescharacteristic
46#63641C2211yescharacteristic
47#63641C2211yescharacteristic
48C8×C3⋊Dic3C2211yescharacteristic
49C3×#821C2211yescharacteristic
50C3×#821C2211yescharacteristic
51C3×#821C2211yescharacteristic
52C3×#818C2211yescharacteristic
53C3×#818C2211yescharacteristic
54C3×#816C2211yescharacteristic
55#63574C2211yescharacteristic
56#63574C2211yescharacteristic
57#63565C2211yescharacteristic
58#63562C2211yescharacteristic
59#63562C2211yescharacteristic
60#63562C2211yescharacteristic
61#5827—31no—
62#5619—31no—
63#5619—31no—
64#5504—31no—
65C3×#480—31no—
66C3×#449—31no—
67#5238—31no—
68#5164—31no—
69#5163—31no—
70#5150—31no—
71Dic3×D8—31no—
72#5037—31no—
73#5034—31no—
74#4968—31no—
75#4891—31no—
76#4889—31no—
77#4877—31no—
78#4872—31no—
79#4796—31no—
80#4788—31no—
81#4786—31no—
82#4785—31no—
83#4785—31no—
84#4766—31no—
85#4762—31no—
86#4758—31no—
87#4736D311yescharacteristic, complemented
88#4734D311yescharacteristic, complemented
89#4720—31no—
90#4720—31no—
91#4720—61no—
92C22×C32×C4C2311yescharacteristic
93C2×C3×#67—21no—
94C2×C3×#67—21no—
95C2×C3×#67—21no—
96C22×C3×Dic3—21no—
97C3×#235—22no—
98C3×#235—22no—
99C2×C3×D12C2311yescharacteristic
100C2×C3×D12C2311yescharacteristic
101C2×C3×D12C2311yescharacteristic
102C2×C3×C4×D3—21no—
103C2×C3×Dic6C2311yescharacteristic
104C2×#625—21no—
105C2×#625—21no—
106C2×D3×Dic3—21no—
107C2×D3×Dic3—21no—
108C2×D3×Dic3—21no—
109C2×D3×Dic3—21no—
110C2×C32×C8C2311yescharacteristic
111C2×C32×C8C2311yescharacteristic
112#3757D411yescharacteristic
113#3757D411yescharacteristic
114C4⋊(C3⋊Dic3)D411yescharacteristic
115C4⋊(C3⋊Dic3)D411yescharacteristic
116C4×C3⋊Dic3C2311yescharacteristic
117C4×C3⋊Dic3C2311yescharacteristic
118C2×C3⋊(C3⋊C8)C2311yescharacteristic
119C2×C3⋊(C3⋊C8)C2311yescharacteristic
120C3×(C2×D3)⋊C4—21no—
121C3×(C2×D3)⋊C4—21no—
122C3×C4⋊Dic3—21no—
123C3×C4⋊Dic3C2311yescharacteristic
124C3×C4⋊Dic3C2311yescharacteristic
125C3×C4⋊Dic3C2311yescharacteristic
126C3×C4⋊Dic3C2311yescharacteristic
127C3×D24—22no—
128C3×#204—22no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138Dic32—21no—
139#3715—22no—
140#3713—22no—
141#3119—91noSylow
142C2×C3×#41—31no—
143C2×#235C2×D311yescharacteristic
144C2×C3×SD16—31no—
145C2×C3×D8—31no—
146C3×#121—31no—
147C3×#121—31no—
148C2×C3×C4⋊C4—31no—
149Q8×Dic3—31no—
150Q8×Dic3—31no—
151C2×#215—31no—
152#940—31no—
153#940—31no—
154#939—61no—
155#939—61no—
156#938—61no—
157#938—61no—
158D4×Dic3—31no—
159D4×Dic3—31no—
160D4×Dic3—31no—
161D4×Dic3—31no—
162D4×Dic3—61no—
163D4×Dic3—61no—
164C2×#214—31no—
165C2×#213—31no—
166C2×#213—31no—
167#930C2×D311yescharacteristic
168#930C2×D311yescharacteristic
169C4×#67—61no—
170C4×#67—61no—
171#926—31no—
172#926—31no—
173#926—61no—
174#926—61no—
175C2×C4⋊Dic3—61no—
176C2×C4⋊Dic3C2×D311yescharacteristic
177C2×D24C2×D311yescharacteristic
178C2×#204C2×D311yescharacteristic
179#893—31no—
180#893—31no—
181#893—31no—
182#893—31no—
183#892—61no—
184D3×C4⋊C4—61no—
185#890—31no—
186#890—31no—
187#887—31no—
188#887—31no—
189#886—61no—
190#886—61no—
191#883—61no—
192#883—61no—
193C3×#107—31no—
194C3×#107—31no—
195C3×#103—31no—
196C3×#102—31no—
197C3×#102—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#821C2×D311yescharacteristic
211#821C2×D311yescharacteristic
212#818C2×D311yescharacteristic
213#818C2×D311yescharacteristic
214#816C2×D311yescharacteristic
215#815—31no—
216#815—31no—
217#815—61no—
218Dic3⋊C8—31no—
219Dic3⋊C8—31no—
220Dic3⋊C8—31no—
221Dic3⋊C8—31no—
222Dic3⋊C8—61no—
223Dic3⋊C8—61no—
224C8×Dic3—31no—
225C8×Dic3—31no—
226C8×Dic3—61no—
227#810—31no—
228#809—31no—
229#809—31no—
230#809—31no—
231#808—31no—
232#808—31no—
233#808—31no—
234#808—31no—
235C23×C32C2×D411yescharacteristic
236C22×C3×D3—21no—
237C22×C3×D3—21no—
238C22×C3×D3—21no—
239C2×C32×C4—21no—
240C2×C32×C4—21no—
241C2×C32×C4C2×D411yescharacteristic
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3C2×D411yescharacteristic
244C2×C3⋊Dic3C2×D411yescharacteristic
245C2×C3⋊Dic3C2×D411yescharacteristic
246C2×C3⋊Dic3C2×D411yescharacteristic
247C3×#67—24no—
248C3×#67—81no—
249C3×#67—81no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—81no—
256C3×D12—21no—
257C3×D12—21no—
258C3×D12—21no—
259C3×D12—21no—
260C3×D12—21no—
261C3×D12#4112yes—
262C3×C4×D3—24no—
263C3×Dic6—21no—
264C3×Dic6#4112yes—
265#625—81no—
266#625—81no—
267D3×Dic3—81no—
268D3×Dic3—81no—
269D3×Dic3—81no—
270D3×Dic3—81no—
271C32×C8—21no—
272C32×C8—21no—
273C3⋊(C3⋊C8)—21no—
274C3⋊(C3⋊C8)—21no—
275#540—91no—
276#520—91no—
277#481—91no—
278#480—31no—
279#479—91no—
280#478—91no—
281#460—91no—
282#459—91no—
283#449—31no—
284#449—91no—
285#442—91no—
286#440—91no—
287C4×SD16—91no—
288C4×D8—91no—
289#433—91no—
290C3×#41—62no—
291C3×#41—62no—
292C2×C3×Q8—31no—
293C2×C3×D4—31no—
294C2×C3×D4—31no—
295C2×C3×D4—31no—
296C2×C3×D4—61no—
297C2×C3×D4—61no—
298C2×C3×D4—61no—
299C22×C3×C4—21no—
300C22×C3×C4—61no—
301C22×C3×C4—61no—
302C22×C3×C4C22×D311yescharacteristic
303C22×C3×C4C22×D311yescharacteristic
304C2×#67—21no—
305C2×#67—21no—
306C2×#67—21no—
307C2×#67—61no—
308C2×#67—61no—
309C2×#67—61no—
310C2×#67—61no—
311C22×Dic3—21no—
312C22×Dic3—61no—
313C22×Dic3—61no—
314C22×Dic3—61no—
315C22×Dic3—61no—
316#235—22no—
317#235—22no—
318C2×D12C22×D311yescharacteristic
319C2×D12C22×D311yescharacteristic
320C2×D12C22×D311yescharacteristic
321C2×C4×D3—21no—
322C2×C4×D3—61no—
323C2×C4×D3—61no—
324C2×C4×D3—61no—
325C2×C4×D3—61no—
326C2×Dic6C22×D311yescharacteristic
327C3×SD16—62no—
328C3×D8—62no—
329C2×C3×C8—21no—
330C2×C3×C8—21no—
331C2×C3×C8C22×D311yescharacteristic
332C2×C3×C8C22×D311yescharacteristic
333C2×C3×C8C22×D311yescharacteristic
334C2×C3×C8C22×D311yescharacteristic
335C3×C4⋊C4—31no—
336C3×C4⋊C4—31no—
337C3×C4⋊C4—31no—
338C3×C4⋊C4—31no—
339C3×C4⋊C4—61no—
340C3×C22⋊C4—61no—
341C3×C22⋊C4—61no—
342#217—31no—
343#217—31no—
344#217—31no—
345#217—31no—
346#217—61no—
347#217—61no—
348#217—61no—
349#217—61no—
350#217—61no—
351#217—61no—
352#215—62no—
353#214—62no—
354#213—62no—
355#213—62no—
356(C2×D3)⋊C4—21no—
357(C2×D3)⋊C4—21no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362C4⋊Dic3—21no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3C22×D311yescharacteristic
374C4⋊Dic3C22×D311yescharacteristic
375C4⋊Dic3C22×D311yescharacteristic
376C4⋊Dic3C22×D311yescharacteristic
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381C4×Dic3—31no—
382C4×Dic3—31no—
383C4×Dic3—31no—
384C4×Dic3—31no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C2×C3⋊C8—31no—
392C2×C3⋊C8—31no—
393C2×C3⋊C8—31no—
394C2×C3⋊C8—31no—
395C2×C3⋊C8—61no—
396C2×C3⋊C8—61no—
397D24—22no—
398#204—22no—
399C22×C32—21no—
400C22×C32—21no—
401C22×C32—21no—
402C22×C32C22×D411yescharacteristic
403C2×C3×D3—22no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
407C2×C3×D3—41no—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C2×C3×D3—41no—
411C2×C3×D3—41no—
412C32×C4—21no—
413C32×C4C2×#4111yescharacteristic
414C32×C4C2×#4111yescharacteristic
415C3⋊Dic3—21no—
416C3⋊Dic3—21no—
417C3⋊Dic3—21no—
418C3⋊Dic3—21no—
419C3×Dic3—22no—
420C3×Dic3—41no—
421C3×Dic3—41no—
422C3×Dic3—41no—
423C3×Dic3—41no—
424C2×#41—31no—
425C2×SD16—31no—
426C2×SD16—91no—
427C2×D8—31no—
428C2×D8—91no—
429#127—91no—
430#125—91no—
431#123—181no—
432#123—181no—
433#121—31no—
434#121—31no—
435#121—181no—
436#121—181no—
437C4×Q8—91no—
438C4×Q8—91no—
439C4×D4—91no—
440C4×D4—91no—
441C4×D4—91no—
442C4×D4—91no—
443C4×D4—181no—
444C4×D4—181no—
445#117—91no—
446#117—181no—
447C2×C4⋊C4—31no—
448C2×C4⋊C4—181no—
449#107—31no—
450#107—31no—
451#106—91no—
452#106—91no—
453C4⋊C8—91no—
454C4⋊C8—91no—
455#103—31no—
456#103—91no—
457#102—31no—
458#102—31no—
459#102—31no—
460#102—91no—
461#102—91no—
462#102—91no—
463C22⋊C8—91no—
464C22⋊C8D3211yescharacteristic
465#97—91no—
466C4×C8—91no—
467C23×C3—21no—
468C23×C3—61no—
469C23×C3—61no—
470C23×C3—61no—
471C23×C3D3×D411yescharacteristic
472C23×C3D3×D411yescharacteristic
473C22×D3—21no—
474C22×D3—21no—
475C22×D3—21no—
476C3×Q8—32no—
477C3×Q8—61no—
478C3×D4—32no—
479C3×D4—64no—
480C3×D4—61no—
481C3×D4—61no—
482C3×D4—61no—
483C3×D4—61no—
484C3×D4—61no—
485C3×D4—241no—
486C3×D4—241no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—41no—
494C2×C3×C4—41no—
495C2×C3×C4—64no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—241no—
502C2×C3×C4D3×D411yescharacteristic
503C2×C3×C4D3×D411yescharacteristic
504C2×C3×C4C23×D311yescharacteristic
505C2×C3×C4C23×D311yescharacteristic
506#67—24no—
507#67—81no—
508#67—81no—
509#67—241no—
510#67—241no—
511#67—241no—
512#67—241no—
513C2×Dic3—21no—
514C2×Dic3—21no—
515C2×Dic3—21no—
516C2×Dic3—21no—
517C2×Dic3—21no—
518C2×Dic3—31no—
519C2×Dic3—31no—
520C2×Dic3—31no—
521C2×Dic3—31no—
522C2×Dic3—31no—
523C2×Dic3—31no—
524C2×Dic3—31no—
525C2×Dic3—31no—
526C2×Dic3—61no—
527C2×Dic3—61no—
528C2×Dic3—61no—
529C2×Dic3—61no—
530C2×Dic3—81no—
531C2×Dic3—241no—
532C2×Dic3—241no—
533C2×Dic3—241no—
534C2×Dic3—241no—
535D12—21no—
536D12—21no—
537D12—21no—
538D12—21no—
539D12—21no—
540D12#23712yes—
541C4×D3—24no—
542C4×D3—241no—
543C4×D3—241no—
544C4×D3—241no—
545C4×D3—241no—
546Dic6—21no—
547Dic6#23712yes—
548C3×C8—21no—
549C3×C8—21no—
550C3×C8—21no—
551C3×C8—21no—
552C3×C8—41no—
553C3×C8—41no—
554C3⋊C8—61no—
555C3⋊C8—61no—
556C3⋊C8—61no—
557C3⋊C8—61no—
558C3⋊C8—121no—
559C3⋊C8—121no—
560C2×C32—41no—
561C2×C32#52511yescharacteristic
562C2×C32#57611yescharacteristic
563C2×C32#57711yescharacteristic
564C3×D3—42no—
565C3×D3—81no—
566C3×D3—81no—
567#41—62no—
568#41—62no—
569C2×Q8—31no—
570C2×D4—31no—
571C2×D4—31no—
572C2×D4—31no—
573C2×D4—61no—
574C2×D4—61no—
575C2×D4—61no—
576C2×D4—181no—
577C2×D4—181no—
578C22×C4—61no—
579C22×C4—61no—
580C22×C4—181no—
581C22×C4—181no—
582C22×C4—181no—
583C22×C4—181no—
584C22×C4C2×D3211yescharacteristic
585SD16—62no—
586SD16—182no—
587D8—62no—
588D8—182no—
589C2×C8—91no—
590C2×C8—91no—
591C2×C8C2×D3211yescharacteristic
592C2×C8C2×D3211yescharacteristic
593C4⋊C4—31no—
594C4⋊C4—31no—
595C4⋊C4—31no—
596C4⋊C4—31no—
597C4⋊C4—61no—
598C4⋊C4—91no—
599C4⋊C4—91no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C22⋊C4—61no—
605C22⋊C4—61no—
606C22⋊C4—91no—
607C22⋊C4—91no—
608C22⋊C4—181no—
609C22⋊C4—181no—
610C22⋊C4—181no—
611C22⋊C4—181no—
612C42—91no—
613C42—91no—
614C42—181no—
615C42—181no—
616C22×C3—21no—
617C22×C3—21no—
618C22×C3—21no—
619C22×C3—21no—
620C22×C3—21no—
621C22×C3—21no—
622C22×C3—21no—
623C22×C3—41no—
624C22×C3—41no—
625C22×C3—41no—
626C22×C3—62no—
627C22×C3—121no—
628C22×C3—121no—
629C22×C3—121no—
630C22×C3—121no—
631C22×C3—121no—
632C22×C3—121no—
633C22×C3—121no—
634C22×C3—121no—
635C22×C3C2×D3×D411yescharacteristic
636C22×C3C2×D3×D411yescharacteristic
637C2×D3—22no—
638C2×D3—41no—
639C2×D3—41no—
640C2×D3—41no—
641C2×D3—41no—
642C2×D3—41no—
643C2×D3—41no—
644C2×D3—41no—
645C2×D3—41no—
646C3×C4—21no—
647C3×C4—21no—
648C3×C4—21no—
649C3×C4—21no—
650C3×C4—41no—
651C3×C4—62no—
652C3×C4—121no—
653C3×C4—121no—
654C3×C4—121no—
655C3×C4—121no—
656C3×C4C2×#23711yescharacteristic
657C3×C4C2×#23711yescharacteristic
658C3×C4D3×#4111yescharacteristic
659C3×C4D3×#4111yescharacteristic
660Dic3—22no—
661Dic3—41no—
662Dic3—41no—
663Dic3—41no—
664Dic3—41no—
665Dic3—61no—
666Dic3—61no—
667Dic3—61no—
668Dic3—61no—
669Dic3—61no—
670Dic3—61no—
671Dic3—61no—
672Dic3—61no—
673Dic3—121no—
674Dic3—121no—
675Dic3—121no—
676Dic3—121no—
677C32#311911yescharacteristic, complemented, Sylow
678C23—61no—
679C23—61no—
680C23—61no—
681C23#380211yescharacteristic
682Q8—32no—
683Q8—61no—
684D4—32no—
685D4—64no—
686D4—61no—
687D4—61no—
688D4—61no—
689D4—61no—
690D4—61no—
691D4—241no—
692D4—241no—
693D4—721no—
694D4—721no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—64no—
698C2×C4—61no—
699C2×C4—61no—
700C2×C4—61no—
701C2×C4—61no—
702C2×C4—61no—
703C2×C4—91no—
704C2×C4—91no—
705C2×C4—91no—
706C2×C4—91no—
707C2×C4—241no—
708C2×C4—721no—
709C2×C4—721no—
710C2×C4—721no—
711C2×C4—721no—
712C2×C4#380211yescharacteristic
713C2×C4C22×D3211yescharacteristic
714C8—21no—
715C8—21no—
716C8—181no—
717C8—181no—
718C2×C3—21no—
719C2×C3—21no—
720C2×C3—21no—
721C2×C3—41no—
722C2×C3—41no—
723C2×C3—81no—
724C2×C3—122no—
725C2×C3—241no—
726C2×C3—241no—
727C2×C3#558611yescharacteristic
728C2×C3#565611yescharacteristic
729C2×C3#575711yescharacteristic
730C2×C3#576911yescharacteristic
731C2×C3#577511yescharacteristic
732C2×C3#577811yescharacteristic
733D3—42no—
734D3—81no—
735D3—81no—
736C22—21no—
737C22—21no—
738C22—21no—
739C22—62no—
740C22—121no—
741C22—121no—
742C22—121no—
743C22—121no—
744C22—121no—
745C22—121no—
746C22—121no—
747C22—121no—
748C22C2×#380211yescharacteristic
749C4—21no—
750C4—62no—
751C4—121no—
752C4—121no—
753C4—121no—
754C4—121no—
755C4—181no—
756C4—181no—
757C4—181no—
758C4—181no—
759C4D3×#23711yescharacteristic
760C4D3×#23711yescharacteristic
761C3—21no—
762C3#8007211yescharacteristic, complemented
763C3#8127211yescharacteristic, complemented
764C2—41no—
765C2—122no—
766C2—241no—
767C2—241no—
768C2#1059408211yescharacteristic
769C2#1059468711yescharacteristic
770C2#1059471911yescharacteristic
subgroupG/H
centerC22C2×#3802
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C22⋊C8C22
socleC22×C32C22×D4
hypercenterC22⋊C8D32
hypocenterC32#3119
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. #10595041C2semidirect
2. #10594986C2semidirect
3. #10592419C2semidirect
4. C3×#4736C2semidirect
5. C3×#4734C2semidirect
6. #10591161C2semidirect
7. #10591091C2semidirect
8. #10590876C2semidirect
9. #10590821C2semidirect
10. #10590780C2semidirect
11. #10590779C2semidirect
12. #10590777C2semidirect
13. #10590749C2semidirect
14. #10590742C2semidirect
15. #10590741C2semidirect
87. #4736D3semidirect
88. #4734D3semidirect
677. C32#3119semidirect
762. C3#80072semidirect
763. C3#81272semidirect

Maximal subgroups

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

subgroupindex
#105950412
#105949862
#105924192
C3×#47362
C3×#47342
#105911612
#105910912
#105908762
#105908212
#105907802
#105907792
#105907772
#105907492
#105907422
#105907412
#812723
#800723