Finite Group Databasebeta

← #11889436

Subgroups — #11889436

Order 1152.

806 conjugacy classes of subgroups.

The subgroup lattice has 749 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10593920C211yesmaximal, characteristic
2Dic6×D12C211yesmaximal, characteristic
3#10592548C211yesmaximal, characteristic, complemented
4C3×#4836C211yesmaximal, characteristic
5C3×#4829C211yesmaximal, characteristic, complemented
6#10590952C211yesmaximal, characteristic, complemented
7#10590952C211yesmaximal, characteristic, complemented
8#10590948C211yesmaximal, characteristic, complemented
9#10590853C211yesmaximal, characteristic, complemented
10#10590852C211yesmaximal, characteristic, complemented
11#10590708C211yesmaximal, characteristic, complemented
12#10590674C211yesmaximal, characteristic, complemented
13D3×#816C211yesmaximal, characteristic, complemented
14#10590383C211yesmaximal, characteristic, complemented
15#10590295C211yesmaximal, characteristic, complemented
16#81248—31nomaximal
17#79511—31nomaximal
18C2×D3×Dic6C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20C2×#3746C2211yescharacteristic
21C2×#3746C2211yescharacteristic
22#64078C2211yescharacteristic
23C4×#634C2211yescharacteristic
24C2×C3×ΓL(1,𝔽25)C2211yescharacteristic
25C2×C3×D3×C8C2211yescharacteristic
26C3×C4×D12C2211yescharacteristic
27C3×#870C2211yescharacteristic
28C3×C4×Dic6C2211yescharacteristic
29#63918—21no—
30#63893—21no—
31#63893—21no—
32Dic3×D12—21no—
33D3×C4⋊Dic3C2211yescharacteristic
34#63884—21no—
35#63878—21no—
36#63862—21no—
37#63857C2211yescharacteristic
38#63857C2211yescharacteristic
39#63857C2211yescharacteristic
40#63857C2211yescharacteristic
41#63846—21no—
42#63841C2211yescharacteristic
43C2×#3719C2211yescharacteristic
44C32×C4⋊C8C2211yescharacteristic
45#63643C2211yescharacteristic
46#63643C2211yescharacteristic
47C3×(C2×D3)⋊C8C2211yescharacteristic
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×#818C2211yescharacteristic
50C3×#817C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×#816C2211yescharacteristic
53C3×#803C2211yescharacteristic
54#63573C2211yescharacteristic
55#63567C2211yescharacteristic
56#63567C2211yescharacteristic
57#63567C2211yescharacteristic
58#63567C2211yescharacteristic
59#63567C2211yescharacteristic
60#63566C2211yescharacteristic
61#5694—31no—
62Q8×D12—31no—
63#5541—31no—
64D4×Dic6—31no—
65C3×#479—31no—
66C3×#435—31no—
67#5137—31no—
68#5120—31no—
69#5116—31no—
70C2×#816—31no—
71#5069—31no—
72#5030—31no—
73#4888—31no—
74#4887—31no—
75#4867—31no—
76#4862—31no—
77#4849—31no—
78#4849—31no—
79#4849—61no—
80#4836D311yescharacteristic
81#4829D311yescharacteristic, complemented
82#4809—31no—
83#4809—31no—
84#4802—31no—
85D3×#103—31no—
86#4739—31no—
87#4739—31no—
88#4723—31no—
89#4721—31no—
90#4716—31no—
91#4703—31no—
92C2×#634C2311yescharacteristic
93C2×#634C2311yescharacteristic
94C2×#634C2311yescharacteristic
95C2×C3×D12D411yescharacteristic
96C2×C3×C4×D3C2311yescharacteristic
97C2×C3×C4×D3C2311yescharacteristic
98C2×C3×Dic6C2311yescharacteristic
99C2×#627—21no—
100C2×#627—21no—
101C2×D3×Dic3—21no—
102C2×D3×Dic3—21no—
103C2×D3×Dic3—21no—
104D3×Dic6—22no—
105D3×Dic6—22no—
106D3×Dic6—41no—
107D3×Dic6—41no—
108C2×C32×C8C2311yescharacteristic
109C2×C32×C8C2311yescharacteristic
110C32×C42C2311yescharacteristic
111C4⋊(C3⋊Dic3)—21no—
112C4⋊(C3⋊Dic3)—21no—
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114#3750—21no—
115C4×C3⋊Dic3—21no—
116#3746—41no—
117#3746—41no—
118C3×(C2×D3)⋊C4D411yescharacteristic
119C3×(C2×D3)⋊C4D411yescharacteristic
120C3×C4⋊Dic3D411yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4—21no—
126C3×Dic3⋊C4—21no—
127C3×C4×Dic3—21no—
128C2×C3×C3⋊C8C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C3×ΓL(1,𝔽25)—41no—
131C3×D3×C8—41no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3—21no—
136Dic3⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3—21no—
139(C2×D3)⋊Dic3—21no—
140(C2×D3)⋊Dic3—21no—
141(C2×D3)⋊Dic3—21no—
142Dic32—21no—
143#3719—22no—
144#3312—91noSylow
145C2×D3×Q8—31no—
146C2×D3×Q8—31no—
147C22×Dic6—31no—
148C22×Dic6—31no—
149C2×C3×M16—31no—
150C22×C3×C8—31no—
151C3×#125—31no—
152C3×C4×Q8—31no—
153C3×C4×D4—31no—
154C2×#216—31no—
155#935—61no—
156D4×Dic3—61no—
157#926—31no—
158C2×C4⋊Dic3—31no—
159#924—31no—
160#924—31no—
161#924—31no—
162#924—31no—
163C2×Dic12—31no—
164C2×Dic12—31no—
165C2×Dic12—31no—
166C2×Dic12—31no—
167C2×Dic12—31no—
168C2×Dic12—61no—
169C2×Dic12—61no—
170C2×ΓL(1,𝔽25)C2×D311yescharacteristic
171C2×D3×C8C2×D311yescharacteristic
172#898—61no—
173#897—31no—
174#897—31no—
175#897—31no—
176#897—31no—
177#897—61no—
178#897—61no—
179#894—61no—
180#892—31no—
181#892—61no—
182D3×C4⋊C4—31no—
183#890—61no—
184#889—61no—
185#888—61no—
186#879—61no—
187#878—61no—
188#878—61no—
189#877—61no—
190C4×D12—61no—
191C4×D12C2×D311yescharacteristic
192#870C2×D311yescharacteristic
193#869—31no—
194#869—31no—
195#869—61no—
196#869—61no—
197C4×Dic6—31no—
198C4×Dic6—31no—
199C4×Dic6—61no—
200C4×Dic6C2×D311yescharacteristic
201C3×#107—31no—
202C3×#106—31no—
203C3×C4⋊C8—21no—
204C3×C4⋊C8C2×D311yescharacteristic
205C3×C4⋊C8C2×D311yescharacteristic
206C3×#103—31no—
207C3×#103—31no—
208C3×C22⋊C8—31no—
209C3×C22⋊C8—31no—
210C3×#97—31no—
211#835—31no—
212(C2×D3)⋊C8C2×D311yescharacteristic
213(C2×D3)⋊C8C2×D311yescharacteristic
214#818C2×D311yescharacteristic
215#817—31no—
216#817C2×D311yescharacteristic
217#816—31no—
218#816—31no—
219#816—31no—
220#816—31no—
221#816—31no—
222#816—31no—
223#816—31no—
224#816—31no—
225#816—31no—
226#816—31no—
227#816—61no—
228#816—61no—
229#816C2×D311yescharacteristic
230#816C2×D311yescharacteristic
231#810—31no—
232#810—31no—
233#810—31no—
234#810—31no—
235#810—31no—
236#808—31no—
237#803C2×D311yescharacteristic
238C22×C3×D3C2×D411yescharacteristic
239C22×C3×D3C2×D411yescharacteristic
240C2×C32×C4C2×D411yescharacteristic
241C2×C32×C4C2×D411yescharacteristic
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3—21no—
247#634—21no—
248#634—21no—
249#634—21no—
250#634—21no—
251#634—21no—
252#634—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3—21no—
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C3×D12—22no—
260C3×C4×D3—21no—
261C3×C4×D3—21no—
262C3×C4×D3—21no—
263C3×C4×D3—21no—
264C3×Dic6—21no—
265C3×Dic6#4112yes—
266#627—42no—
267#627—42no—
268D3×Dic3—42no—
269D3×Dic3—42no—
270D3×Dic3—42no—
271C32×C8—21no—
272C32×C8—21no—
273C3×C3⋊C8—21no—
274C3×C3⋊C8—21no—
275#552—91no—
276D4×Q8—91no—
277#491—91no—
278#485—91no—
279#483—91no—
280#479—31no—
281#470—91no—
282#467—91no—
283#462—91no—
284#451—91no—
285#451—91no—
286#441—91no—
287#435—31no—
288#419—91no—
289C2×#103—91no—
290C2×C3×Q8—31no—
291C2×C3×D4—31no—
292C22×C3×C4—31no—
293C22×C3×C4—31no—
294C22×Dic3—61no—
295C22×Dic3—61no—
296C22×Dic3—61no—
297D3×Q8—62no—
298D3×Q8—62no—
299D3×Q8—121no—
300D3×Q8—121no—
301C2×D12D1211yescharacteristic
302C2×C4×D3—61no—
303C2×C4×D3—61no—
304C2×C4×D3—61no—
305C2×C4×D3C22×D311yescharacteristic
306C2×C4×D3C22×D311yescharacteristic
307C2×Dic6—31no—
308C2×Dic6—31no—
309C2×Dic6—31no—
310C2×Dic6—31no—
311C2×Dic6—31no—
312C2×Dic6—31no—
313C2×Dic6—61no—
314C2×Dic6—61no—
315C2×Dic6—61no—
316C2×Dic6—62no—
317C2×Dic6—62no—
318C2×Dic6—61no—
319C2×Dic6—61no—
320C2×Dic6—61no—
321C2×Dic6—61no—
322C2×Dic6—121no—
323C2×Dic6—121no—
324C2×Dic6C22×D311yescharacteristic
325C3×M16—121no—
326C2×C3×C8—21no—
327C2×C3×C8—21no—
328C2×C3×C8—31no—
329C2×C3×C8—31no—
330C2×C3×C8—121no—
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×C4⋊C4—61no—
341C3×C4⋊C4—61no—
342C3×C22⋊C4—31no—
343C3×C22⋊C4—31no—
344C3×C42—21no—
345C3×C42—61no—
346C3×C42C22×D311yescharacteristic
347C3×C42C22×D311yescharacteristic
348#217—61no—
349#217—61no—
350#217—61no—
351#217—61no—
352#217—61no—
353#216—62no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4D1211yescharacteristic
360(C2×D3)⋊C4D1211yescharacteristic
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3—121no—
374C4⋊Dic3—121no—
375C4⋊Dic3D1211yescharacteristic
376C4⋊Dic3C22×D311yescharacteristic
377C4⋊Dic3C22×D311yescharacteristic
378C4⋊Dic3C22×D311yescharacteristic
379Dic3⋊C4—21no—
380Dic3⋊C4—21no—
381Dic3⋊C4—21no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387Dic3⋊C4—61no—
388Dic3⋊C4—61no—
389Dic3⋊C4—121no—
390C4×Dic3—21no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—61no—
395C4×Dic3—121no—
396C2×C3⋊C8C22×D311yescharacteristic
397C2×C3⋊C8C22×D311yescharacteristic
398Dic12—62no—
399Dic12—121no—
400Dic12—121no—
401Dic12—121no—
402Dic12—121no—
403Dic12—122no—
404Dic12—122no—
405ΓL(1,𝔽25)—41no—
406D3×C8—41no—
407C22×C32C22×D411yescharacteristic
408C2×C3×D3—21no—
409C2×C3×D3—21no—
410C2×C3×D3—21no—
411C2×C3×D3—21no—
412C2×C3×D3—21no—
413C2×C3×D3#13712yes—
414C32×C4—21no—
415C32×C4—21no—
416C32×C4C2×#4111yescharacteristic
417C32×C4H(5,𝔽2)11yescharacteristic
418C3⋊Dic3—41no—
419C3⋊Dic3—41no—
420C3⋊Dic3—41no—
421C3⋊Dic3—41no—
422C3×Dic3—22no—
423C3×Dic3—21no—
424C3×Dic3—21no—
425C3×Dic3—41no—
426C3×Dic3—41no—
427C3×Dic3—41no—
428C22×Q8—91no—
429C22×Q8—91no—
430C2×Q16—91no—
431C2×Q16—91no—
432C2×Q16—91no—
433C2×M16—31no—
434C22×C8—31no—
435C4⋊Q8—91no—
436C4⋊Q8—181no—
437#126—181no—
438#125—31no—
439#125—181no—
440#123—181no—
441C22⋊Q8—91no—
442C22⋊Q8—91no—
443C22⋊Q8—91no—
444C22⋊Q8—91no—
445C22⋊Q8—181no—
446C22⋊Q8—181no—
447C4×Q8—31no—
448C4×Q8—91no—
449C4×D4—31no—
450C4×D4—181no—
451#117—91no—
452#117—181no—
453C2×C4⋊C4—91no—
454#107—31no—
455#106—31no—
456#106—91no—
457C4⋊C8D3211yescharacteristic
458#103—31no—
459#103—31no—
460#103—91no—
461#103—91no—
462#103—91no—
463#103—91no—
464#103—91no—
465#103—91no—
466#103—91no—
467#103—91no—
468C22⋊C8—31no—
469C22⋊C8—31no—
470#97—31no—
471C23×C3—31no—
472C23×C3—31no—
473C22×D3C2×D1211yescharacteristic
474C22×D3C2×D1211yescharacteristic
475C3×Q8—32no—
476C3×Q8—61no—
477C3×D4—62no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—31no—
482C2×C3×C4—31no—
483C2×C3×C4—61no—
484C2×C3×C4—61no—
485C2×C3×C4—61no—
486C2×C3×C4—61no—
487C2×C3×C4—61no—
488C2×C3×C4—61no—
489C2×C3×C4—61no—
490C2×C3×C4—61no—
491C2×C3×C4C2×D1211yescharacteristic
492C2×C3×C4C2×D1211yescharacteristic
493C2×C3×C4D3×D411yescharacteristic
494C2×C3×C4D3×D411yescharacteristic
495C2×C3×C4C23×D311yescharacteristic
496C2×C3×C4C23×D311yescharacteristic
497C2×Dic3—21no—
498C2×Dic3—21no—
499C2×Dic3—21no—
500C2×Dic3—21no—
501C2×Dic3—61no—
502C2×Dic3—61no—
503C2×Dic3—61no—
504C2×Dic3—61no—
505C2×Dic3—61no—
506C2×Dic3—61no—
507C2×Dic3—61no—
508C2×Dic3—61no—
509C2×Dic3—121no—
510C2×Dic3—121no—
511C2×Dic3—121no—
512C2×Dic3—121no—
513C2×Dic3—122no—
514C2×Dic3—122no—
515C2×Dic3—122no—
516C2×Dic3C2×D1211yescharacteristic
517C2×Dic3C2×D1211yescharacteristic
518D12—22no—
519C4×D3—21no—
520C4×D3—21no—
521C4×D3—21no—
522C4×D3—21no—
523C4×D3—122no—
524C4×D3—122no—
525C4×D3—122no—
526Dic6—21no—
527Dic6—62no—
528Dic6—61no—
529Dic6—61no—
530Dic6—61no—
531Dic6—61no—
532Dic6—61no—
533Dic6—61no—
534Dic6—61no—
535Dic6—61no—
536Dic6—61no—
537Dic6—61no—
538Dic6—61no—
539Dic6—61no—
540Dic6—121no—
541Dic6—121no—
542Dic6—121no—
543Dic6—121no—
544Dic6—121no—
545Dic6—122no—
546Dic6—122no—
547Dic6—122no—
548Dic6—122no—
549Dic6#23912yes—
550C3×C8—21no—
551C3×C8—21no—
552C3×C8—21no—
553C3×C8—21no—
554C3×C8—41no—
555C3×C8—41no—
556C3×C8—61no—
557C3×C8—61no—
558C3⋊C8—21no—
559C3⋊C8—21no—
560C2×C32#54611yescharacteristic
561C2×C32C2×#13711yescharacteristic
562C2×C32#57811yescharacteristic
563C3×D3—22no—
564C3×D3—41no—
565C2×Q8—31no—
566C2×Q8—91no—
567C2×Q8—91no—
568C2×Q8—91no—
569C2×Q8—181no—
570C2×Q8—181no—
571C2×Q8—182no—
572C2×Q8—182no—
573C2×Q8—361no—
574C2×Q8—361no—
575C2×D4—31no—
576C22×C4—31no—
577C22×C4—31no—
578C22×C4—181no—
579C22×C4—181no—
580C22×C4—181no—
581Q16—182no—
582Q16—361no—
583Q16—361no—
584M16—121no—
585C2×C8—31no—
586C2×C8—31no—
587C2×C8—121no—
588C2×C8C2×D3211yescharacteristic
589C2×C8C2×D3211yescharacteristic
590C4⋊C4—31no—
591C4⋊C4—31no—
592C4⋊C4—31no—
593C4⋊C4—31no—
594C4⋊C4—61no—
595C4⋊C4—61no—
596C4⋊C4—61no—
597C4⋊C4—91no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C4⋊C4—181no—
606C22⋊C4—31no—
607C22⋊C4—31no—
608C22⋊C4—181no—
609C22⋊C4—181no—
610C22⋊C4—181no—
611C22⋊C4—181no—
612C22⋊C4—181no—
613C42—61no—
614C42—181no—
615C42—181no—
616C42C2×D3211yescharacteristic
617C22×C3—21no—
618C22×C3—32no—
619C22×C3—61no—
620C22×C3—61no—
621C22×C3—61no—
622C22×C3—61no—
623C22×C3—61no—
624C22×C3C22×D1211yescharacteristic
625C22×C3C2×D3×D411yescharacteristic
626C2×D3—21no—
627C2×D3—21no—
628C2×D3—21no—
629C2×D3—21no—
630C2×D3—21no—
631C2×D3#90912yes—
632C3×C4—22no—
633C3×C4—21no—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—21no—
639C3×C4—41no—
640C3×C4—62no—
641C3×C4—61no—
642C3×C4—61no—
643C3×C4—121no—
644C3×C4—121no—
645C3×C4—121no—
646C3×C4#100411yescharacteristic
647C3×C4C2×#23911yescharacteristic
648C3×C4D3×#4111yescharacteristic
649C3×C4#100911yescharacteristic
650Dic3—21no—
651Dic3—21no—
652Dic3—22no—
653Dic3—41no—
654Dic3—41no—
655Dic3—41no—
656Dic3—122no—
657Dic3—121no—
658Dic3—121no—
659Dic3—121no—
660Dic3—121no—
661Dic3—121no—
662Dic3—121no—
663Dic3—121no—
664Dic3—121no—
665Dic3—241no—
666Dic3—241no—
667Dic3—241no—
668C32#331211yescharacteristic, complemented, Sylow
669C23—31no—
670C23—31no—
671Q8—32no—
672Q8—61no—
673Q8—181no—
674Q8—181no—
675Q8—181no—
676Q8—181no—
677Q8—181no—
678Q8—181no—
679Q8—362no—
680Q8—362no—
681D4—62no—
682C2×C4—31no—
683C2×C4—31no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—181no—
693C2×C4—181no—
694C2×C4—181no—
695C2×C4—181no—
696C2×C4—362no—
697C2×C4—362no—
698C2×C4—362no—
699C2×C4D3×D1211yescharacteristic
700C2×C4D3×D1211yescharacteristic
701C2×C4C22×D3211yescharacteristic
702C8—21no—
703C8—21no—
704C8—61no—
705C8—61no—
706C2×C3—21no—
707C2×C3—21no—
708C2×C3—21no—
709C2×C3—62no—
710C2×C3—121no—
711C2×C3#555411yescharacteristic
712C2×C3#563011yescharacteristic
713C2×C3C2×#90911yescharacteristic
714C2×C3#575311yescharacteristic
715C2×C3#577111yescharacteristic
716C2×C3D3×#13711yescharacteristic
717D3—22no—
718D3—41no—
719C22—32no—
720C22—61no—
721C22—61no—
722C22—61no—
723C22—61no—
724C22—61no—
725C22C2×D3×D1211yescharacteristic
726C4—21no—
727C4—21no—
728C4—61no—
729C4—61no—
730C4—62no—
731C4—121no—
732C4—121no—
733C4—121no—
734C4—361no—
735C4—361no—
736C4—361no—
737C4—361no—
738C4#6431411yescharacteristic
739C4D3×#23911yescharacteristic
740C3—21no—
741C3#7951111yescharacteristic, complemented
742C3#8124811yescharacteristic, complemented
743C2—62no—
744C2—121no—
745C2#1059462911yescharacteristic
746C2#1059469211yescharacteristic
747C2D3×#90911yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4⋊C8C22
socleC22×C32C22×D4
prime radicalC2×C3×D12D4
hypercenterC4⋊C8D32
hypocenterC32#3312
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4⋊C8

Complements

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

NH ≅ G/Ntype
3. #10592548C2semidirect
5. C3×#4829C2semidirect
6. #10590952C2semidirect
7. #10590952C2semidirect
8. #10590948C2semidirect
9. #10590853C2semidirect
10. #10590852C2semidirect
11. #10590708C2semidirect
12. #10590674C2semidirect
13. D3×#816C2semidirect
14. #10590383C2semidirect
15. #10590295C2semidirect
81. #4829D3semidirect
668. C32#3312semidirect
741. C3#79511semidirect
742. C3#81248semidirect

Maximal subgroups

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

subgroupindex
#105939202
Dic6×D122
#105925482
C3×#48362
C3×#48292
#105909522
#105909482
#105908532
#105908522
#105907082
#105906742
D3×#8162
#105903832
#105902952
#812483
#795113