Finite Group Databasebeta

← #11860644

Subgroups — #11860644

Order 1152.

1001 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595222C211yesmaximal, characteristic
2C2×#63929C211yesmaximal, characteristic
3#10594357C211yesmaximal, characteristic, complemented
4#10592457C211yesmaximal, characteristic, complemented
5C3×#4772C211yesmaximal, characteristic
6C3×#4758C211yesmaximal, characteristic, complemented
7#10591446C211yesmaximal, characteristic, complemented
8#10591405C211yesmaximal, characteristic, complemented
9#10590793C211yesmaximal, characteristic, complemented
10#10590790C211yesmaximal, characteristic, complemented
11#10590692C211yesmaximal, characteristic, complemented
12D3×#816C211yesmaximal, characteristic, complemented
13#10590485C211yesmaximal, characteristic, complemented
14#10590477C211yesmaximal, characteristic, complemented
15#10590437C211yesmaximal, characteristic, complemented
16#79648—31nomaximal
17#78821—31nomaximal
18C2×C3×#237C2211yescharacteristic
19C2×D3×Dic6C2211yescharacteristic
20D4×C3⋊Dic3C2211yescharacteristic
21C2×#3754C2211yescharacteristic
22#64096C2211yescharacteristic
23C3×D4×Dic3C2211yescharacteristic
24C2×C3×#214C2211yescharacteristic
25C2×C3×D3×C8C2211yescharacteristic
26C3×#892C2211yescharacteristic
27C3×#887C2211yescharacteristic
28#67⋊Dic3—21no—
29Dic3×#67—21no—
30C2×Dic3⋊Dic3—21no—
31#63955—21no—
32#63929C418yescomplemented
33C4×#627—21no—
34D3×C4⋊Dic3C2211yescharacteristic
35#63878—21no—
36#63877—21no—
37#63855C2211yescharacteristic
38#63844C2211yescharacteristic
39#63843C2211yescharacteristic
40#63843C2211yescharacteristic
41Dic3×Dic6C2211yescharacteristic
42#63837—21no—
43C2×#3719C2211yescharacteristic
44C2×#3718C2211yescharacteristic
45C2×#3711C2211yescharacteristic
46C32×#102C2211yescharacteristic
47#63643C2211yescharacteristic
48C8×C3⋊Dic3C2211yescharacteristic
49#63635C2211yescharacteristic
50C3×#832C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×#816C2211yescharacteristic
53C3×C8×Dic3C2211yescharacteristic
54C3×#810C2211yescharacteristic
55C3×#808C2211yescharacteristic
56#63576C2211yescharacteristic
57#63575C2211yescharacteristic
58#63567C2211yescharacteristic
59#63566C2211yescharacteristic
60#63555C2211yescharacteristic
61#63554C2211yescharacteristic
62#5827—31no—
63C2×#951—31no—
64C2×#915—31no—
65#5572—31no—
66#5546—31no—
67#5516—31no—
68C3×C4×SD16—31no—
69C3×#416—31no—
70#5164—31no—
71C2×#816—31no—
72#5101—31no—
73#5030—31no—
74#5018—31no—
75#4995—31no—
76#4861—31no—
77#4853—31no—
78D3×#103—31no—
79#4790—31no—
80#4790—31no—
81#4790—31no—
82#4789—31no—
83#4789—31no—
84#4772D311yescharacteristic
85#4758—31no—
86#4758—31no—
87#4758—61no—
88#4758D311yescharacteristic, complemented
89#4757—31no—
90#4757—31no—
91C4×Dic12—31no—
92#4689—31no—
93C2×C32×D4C2311yescharacteristic
94C22×C3⋊Dic3—21no—
95C2×#634C2311yescharacteristic
96C2×C3×#67—21no—
97C22×C3×Dic3—21no—
98C22×C3×Dic3—21no—
99C3×#237—22no—
100C3×#237C2×C414yes—
101C2×C3×C4×D3C2311yescharacteristic
102C2×C3×Dic6C2311yescharacteristic
103C2×C3×Dic6C2311yescharacteristic
104C2×#627—21no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3—21no—
107D3×Dic6—22no—
108D3×Dic6C2×C414yescomplemented
109C2×C32×C8C2311yescharacteristic
110C32×C4⋊C4C2311yescharacteristic
111#3757—21no—
112#3754C2×C414yescomplemented
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114#3750—21no—
115C4×C3⋊Dic3—21no—
116C4×C3⋊Dic3C2311yescharacteristic
117C2×C3⋊(C3⋊C8)C2311yescharacteristic
118C3×#217—21no—
119C3×#214C2×C414yescomplemented
120C3×(C2×D3)⋊C4—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×C4×Dic3—21no—
125C3×C4×Dic3—21no—
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C3×D3×C8—22no—
130#3724—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135Dic3⋊Dic3D411yescharacteristic
136Dic3⋊Dic3D411yescharacteristic
137(C2×D3)⋊Dic3D411yescharacteristic
138(C2×D3)⋊Dic3D411yescharacteristic
139Dic32—21no—
140Dic32—21no—
141Dic32—21no—
142Dic32—21no—
143#3719C2×C414yescomplemented
144#3718C2×C414yescomplemented
145#3711C2×C414yescomplemented
146#2947—91noSylow
147C2×C3×#41—31no—
148C2×D3×Q8—31no—
149C2×#237C2×D311yescharacteristic
150C22×Dic6—31no—
151C2×C3×SD16—31no—
152C22×C3×C8—31no—
153C3×C4×Q8—31no—
154C3×C4×D4—31no—
155C3×#117—31no—
156#951—38no—
157Q8×Dic3—31no—
158Q8×Dic3—31no—
159Q8×Dic3—31no—
160C2×#216—31no—
161C2×#216—31no—
162C2×#216—31no—
163D4×Dic3—31no—
164D4×Dic3—31no—
165D4×Dic3—61no—
166D4×Dic3—61no—
167D4×Dic3—61no—
168D4×Dic3C2×D311yescharacteristic
169C2×#214—31no—
170C2×#214—31no—
171C2×#214—61no—
172C2×#214C2×D311yescharacteristic
173C4×#67—61no—
174#926—31no—
175#926—61no—
176C2×C4⋊Dic3—31no—
177C2×C4⋊Dic3—61no—
178C2×Dic3⋊C4—61no—
179C2×#208—31no—
180#915—38no—
181C2×Dic12—31no—
182C2×ΓL(1,𝔽25)—31no—
183C2×D3×C8C2×D311yescharacteristic
184#892—61no—
185#892C2×D311yescharacteristic
186D3×C4⋊C4—31no—
187#887—31no—
188#887—31no—
189#887—31no—
190#887—31no—
191#887—31no—
192#887—61no—
193#887—61no—
194#887C2×D311yescharacteristic
195#67⋊C4—61no—
196#877—61no—
197#877—61no—
198#877—61no—
199#872—31no—
200#872—61no—
201C4×Dic6—31no—
202C4×Dic6—31no—
203C4×Dic6—61no—
204C4×Dic6—61no—
205C4×Dic6—61no—
206C3×#106—31no—
207C3×#103—31no—
208C3×#103—31no—
209C3×#103—31no—
210C3×#102—21no—
211C3×#102—31no—
212C3×#102C2×D311yescharacteristic
213C3×#102C2×D311yescharacteristic
214C3×C4×C8—31no—
215#835—31no—
216#832C2×D311yescharacteristic
217#818—31no—
218#816—31no—
219#816—31no—
220#816—31no—
221#816—31no—
222#816—61no—
223#816C2×D311yescharacteristic
224#816C2×D311yescharacteristic
225#815—31no—
226#815—31no—
227#815—31no—
228C8×Dic3—31no—
229C8×Dic3—31no—
230C8×Dic3—61no—
231C8×Dic3C2×D311yescharacteristic
232#810—31no—
233#810C2×D311yescharacteristic
234#808—31no—
235#808—31no—
236#808—61no—
237#808C2×D311yescharacteristic
238#807—31no—
239#807—31no—
240#807—31no—
241#803—31no—
242C23×C32—21no—
243C22×C3×D3C2×D411yescharacteristic
244C32×D4—21no—
245C32×D4C22×C412yes—
246C2×C32×C4—21no—
247C2×C32×C4C2411yescharacteristic
248C2×C3⋊Dic3—21no—
249C2×C3⋊Dic3—21no—
250C2×C3⋊Dic3—81no—
251C2×C3⋊Dic3C2×D411yescharacteristic
252C2×C3⋊Dic3C2×D411yescharacteristic
253#634—21no—
254#634C22×C412yes—
255C3×#67—24no—
256C2×C3×Dic3—21no—
257C2×C3×Dic3—21no—
258C2×C3×Dic3—24no—
259C2×C3×Dic3—21no—
260C2×C3×Dic3—21no—
261C2×C3×Dic3—81no—
262C2×C3×Dic3C2×D411yescharacteristic
263C2×C3×Dic3C2×D411yescharacteristic
264C2×C3×Dic3C2×D411yescharacteristic
265C3×C4×D3C22×C412yes—
266C3×C4×D3#4112yes—
267C3×Dic6—21no—
268C3×Dic6—21no—
269C3×Dic6C22×C412yes—
270C3×Dic6C22×C412yes—
271#627—24no—
272D3×Dic3—24no—
273D3×Dic3—81no—
274C32×C8—21no—
275C3⋊(C3⋊C8)C22×C412yes—
276C3×C3⋊C8—21no—
277C3×C3⋊C8C22×C412yes—
278C2×#137—91no—
279#520—91no—
280#519—91no—
281#441—91no—
282#441—91no—
283#440—91no—
284#440—91no—
285C4×Q16—91no—
286C4×Q16—91no—
287C4×SD16—31no—
288C4×SD16—91no—
289#428—91no—
290#416—31no—
291C2×#103—91no—
292#405—91no—
293C3×#41—34no—
294C3×#41—62no—
295C2×C3×Q8—31no—
296C2×C3×Q8—31no—
297C2×C3×D4—21no—
298C2×C3×D4—61no—
299C2×C3×D4C22×D311yescharacteristic
300C2×C3×D4C22×D311yescharacteristic
301C22×C3×C4—31no—
302C22×C3×C4—61no—
303C22×C3×C4—61no—
304C2×#67—21no—
305C22×Dic3—21no—
306C22×Dic3—21no—
307C22×Dic3—61no—
308C22×Dic3—61no—
309C22×Dic3—61no—
310C22×Dic3—61no—
311C22×Dic3—121no—
312D3×Q8—34no—
313D3×Q8—62no—
314#237—22no—
315#237C4×D314yes—
316C2×C4×D3—61no—
317C2×C4×D3—61no—
318C2×C4×D3C22×D311yescharacteristic
319C2×Dic6—31no—
320C2×Dic6—31no—
321C2×Dic6—34no—
322C2×Dic6—61no—
323C2×Dic6—62no—
324C2×Dic6—61no—
325C2×Dic6—61no—
326C2×Dic6C22×D311yescharacteristic
327C2×Dic6C22×D311yescharacteristic
328C3×SD16—34no—
329C2×C3×C8—21no—
330C2×C3×C8—31no—
331C2×C3×C8—31no—
332C2×C3×C8—62no—
333C2×C3×C8C22×D311yescharacteristic
334C2×C3×C8C22×D311yescharacteristic
335C3×C4⋊C4—21no—
336C3×C4⋊C4—31no—
337C3×C4⋊C4—31no—
338C3×C4⋊C4—61no—
339C3×C4⋊C4C22×D311yescharacteristic
340C3×C4⋊C4C22×D311yescharacteristic
341C3×C22⋊C4—61no—
342C3×C22⋊C4—61no—
343C3×C42—31no—
344C3×C42—61no—
345C3×C42—61no—
346#217—21no—
347#217—31no—
348#217—31no—
349#217—61no—
350#217—61no—
351#217—121no—
352#216—34no—
353#216—34no—
354#216—34no—
355#214—34no—
356#214—34no—
357#214—64no—
358#214C4×D314yescomplemented
359(C2×D3)⋊C4—21no—
360(C2×D3)⋊C4—31no—
361(C2×D3)⋊C4—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—31no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3C22×D311yescharacteristic
372C4⋊Dic3C22×D311yescharacteristic
373Dic3⋊C4—21no—
374Dic3⋊C4—31no—
375Dic3⋊C4—31no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—121no—
385C4×Dic3—21no—
386C4×Dic3—21no—
387C4×Dic3—31no—
388C4×Dic3—31no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C4×Dic3—61no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—61no—
395C4×Dic3—61no—
396C4×Dic3—61no—
397C4×Dic3—61no—
398C4×Dic3—61no—
399C4×Dic3—61no—
400C4×Dic3—121no—
401C4×Dic3C22×D311yescharacteristic
402#208—34no—
403C2×C3⋊C8—31no—
404C2×C3⋊C8—31no—
405C2×C3⋊C8—61no—
406C2×C3⋊C8C22×D311yescharacteristic
407C2×C3⋊C8C22×D311yescharacteristic
408Dic12—34no—
409ΓL(1,𝔽25)—34no—
410D3×C8—22no—
411C22×C32—22no—
412C22×C32—41no—
413C22×C32—41no—
414C22×C32C22×D411yescharacteristic
415C2×C3×D3—21no—
416C2×C3×D3—21no—
417C2×C3×D3C4×D412yes—
418C32×C4—41no—
419C32×C4C23×C411yescharacteristic
420C32×C4C2×#4111yescharacteristic
421C3⋊Dic3—21no—
422C3⋊Dic3—22no—
423C3⋊Dic3—21no—
424C3⋊Dic3—41no—
425C3×Dic3—22no—
426C3×Dic3—22no—
427C3×Dic3—21no—
428C3×Dic3—21no—
429C3×Dic3—41no—
430C3×Dic3—41no—
431C3×Dic3C4×D412yes—
432C2×#41—31no—
433C22×Q8—91no—
434#137—98no—
435C2×Q16—91no—
436C2×Q16—91no—
437C2×SD16—31no—
438C2×SD16—91no—
439C2×M16—91no—
440C22×C8—31no—
441C4×Q8—31no—
442C4×Q8—91no—
443C4×Q8—91no—
444C4×Q8—91no—
445C4×Q8—91no—
446C4×Q8—91no—
447C4×Q8—181no—
448C4×Q8—181no—
449C4×D4—31no—
450C4×D4—91no—
451C4×D4—181no—
452C4×D4—181no—
453#117—31no—
454#117—91no—
455#117—181no—
456#117—181no—
457#117—181no—
458C2×C4⋊C4—91no—
459C2×C4⋊C4—181no—
460#107—91no—
461#107—91no—
462#106—31no—
463#106—91no—
464#103—31no—
465#103—31no—
466#103—31no—
467#103—91no—
468#103—91no—
469#103—91no—
470#102—31no—
471#102D3211yescharacteristic
472#97—91no—
473#97—91no—
474C4×C8—31no—
475C4×C8—91no—
476C23×C3—21no—
477C23×C3—21no—
478C23×C3—31no—
479C23×C3—41no—
480C22×D3D3×D411yescharacteristic
481C3×Q8—32no—
482C3×Q8—32no—
483C3×Q8—61no—
484C3×Q8—61no—
485C3×D4—21no—
486C3×D4—21no—
487C3×D4—22no—
488C3×D4—41no—
489C3×D4—64no—
490C3×D4C2×C4×D312yes—
491C3×D4C2×C4×D312yes—
492C2×C3×C4—21no—
493C2×C3×C4—21no—
494C2×C3×C4—21no—
495C2×C3×C4—31no—
496C2×C3×C4—32no—
497C2×C3×C4—32no—
498C2×C3×C4—31no—
499C2×C3×C4—31no—
500C2×C3×C4—41no—
501C2×C3×C4—64no—
502C2×C3×C4—61no—
503C2×C3×C4—61no—
504C2×C3×C4—61no—
505C2×C3×C4—61no—
506C2×C3×C4—241no—
507C2×C3×C4C23×D311yescharacteristic
508C2×C3×C4C23×D311yescharacteristic
509#67—24no—
510C2×Dic3—21no—
511C2×Dic3—21no—
512C2×Dic3—24no—
513C2×Dic3—21no—
514C2×Dic3—21no—
515C2×Dic3—31no—
516C2×Dic3—31no—
517C2×Dic3—31no—
518C2×Dic3—31no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—64no—
522C2×Dic3—61no—
523C2×Dic3—61no—
524C2×Dic3—61no—
525C2×Dic3—61no—
526C2×Dic3—81no—
527C2×Dic3—121no—
528C2×Dic3—121no—
529C2×Dic3—241no—
530C2×Dic3—241no—
531C2×Dic3—241no—
532C2×Dic3—242no—
533C2×Dic3D3×D411yescharacteristic
534C2×Dic3D3×D411yescharacteristic
535C2×Dic3D3×D411yescharacteristic
536C4×D3—64no—
537C4×D3—241no—
538C4×D3C2×C4×D312yes—
539C4×D3#23712yes—
540Dic6—21no—
541Dic6—21no—
542Dic6—32no—
543Dic6—32no—
544Dic6—62no—
545Dic6—64no—
546Dic6—61no—
547Dic6—61no—
548Dic6—64no—
549Dic6—121no—
550Dic6C2×C4×D312yes—
551Dic6C2×C4×D312yes—
552C3×C8—21no—
553C3×C8—21no—
554C3×C8—32no—
555C3×C8—41no—
556C3×C8—61no—
557C3⋊C8—21no—
558C3⋊C8—32no—
559C3⋊C8—32no—
560C3⋊C8—62no—
561C3⋊C8C2×C4×D312yes—
562C2×C32—42no—
563C2×C32C2×C4×D411yescharacteristic
564C2×C32#57711yescharacteristic
565C2×C32#57811yescharacteristic
566C3×D3—22no—
567#41—34no—
568#41—62no—
569C2×Q8—31no—
570C2×Q8—31no—
571C2×Q8—94no—
572C2×Q8—91no—
573C2×Q8—181no—
574C2×Q8—182no—
575C2×D4—61no—
576C2×D4C2×D3211yescharacteristic
577C22×C4—31no—
578C22×C4—61no—
579C22×C4—61no—
580C22×C4—181no—
581C22×C4—181no—
582C22×C4—181no—
583Q16—94no—
584Q16—94no—
585SD16—34no—
586SD16—94no—
587M16—94no—
588C2×C8—31no—
589C2×C8—31no—
590C2×C8—62no—
591C2×C8—91no—
592C2×C8C2×D3211yescharacteristic
593C4⋊C4—31no—
594C4⋊C4—31no—
595C4⋊C4—61no—
596C4⋊C4—91no—
597C4⋊C4—91no—
598C4⋊C4—91no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C4⋊C4C2×D3211yescharacteristic
606C22⋊C4—61no—
607C22⋊C4—61no—
608C22⋊C4—91no—
609C22⋊C4—91no—
610C22⋊C4—181no—
611C42—31no—
612C42—61no—
613C42—61no—
614C42—91no—
615C42—181no—
616C42—181no—
617C42—181no—
618C42—181no—
619C42—181no—
620C22×C3—22no—
621C22×C3—22no—
622C22×C3—21no—
623C22×C3—32no—
624C22×C3—42no—
625C22×C3—41no—
626C22×C3—41no—
627C22×C3—41no—
628C22×C3—41no—
629C22×C3—61no—
630C22×C3—61no—
631C22×C3—81no—
632C22×C3—81no—
633C22×C3C2×D3×D411yescharacteristic
634C22×C3C2×D3×D411yescharacteristic
635C2×D3—21no—
636C2×D3—21no—
637C2×D3#67⋊C412yes—
638C3×C4—21no—
639C3×C4—21no—
640C3×C4—32no—
641C3×C4—41no—
642C3×C4—41no—
643C3×C4—62no—
644C3×C4—61no—
645C3×C4—61no—
646C3×C4—62no—
647C3×C4—81no—
648C3×C4—121no—
649C3×C4—121no—
650C3×C4C22×C4×D311yescharacteristic
651C3×C4C22×C4×D311yescharacteristic
652C3×C4C2×#23711yescharacteristic
653C3×C4D3×#4111yescharacteristic
654Dic3—22no—
655Dic3—21no—
656Dic3—21no—
657Dic3—22no—
658Dic3—41no—
659Dic3—41no—
660Dic3—62no—
661Dic3—62no—
662Dic3—61no—
663Dic3—61no—
664Dic3—61no—
665Dic3—61no—
666Dic3—62no—
667Dic3—122no—
668Dic3—121no—
669Dic3—121no—
670Dic3—121no—
671Dic3—241no—
672Dic3#67⋊C412yes—
673C32#294711yescharacteristic, complemented, Sylow
674C23—21no—
675C23—31no—
676Q8—32no—
677Q8—32no—
678Q8—61no—
679Q8—61no—
680Q8—92no—
681Q8—184no—
682Q8—181no—
683D4—21no—
684D4—64no—
685D4C4×D3212yes—
686C2×C4—21no—
687C2×C4—31no—
688C2×C4—32no—
689C2×C4—32no—
690C2×C4—31no—
691C2×C4—31no—
692C2×C4—64no—
693C2×C4—61no—
694C2×C4—61no—
695C2×C4—61no—
696C2×C4—61no—
697C2×C4—91no—
698C2×C4—91no—
699C2×C4—184no—
700C2×C4—181no—
701C2×C4—181no—
702C2×C4—241no—
703C2×C4—721no—
704C2×C4—721no—
705C2×C4C22×D3211yescharacteristic
706C8—21no—
707C8—32no—
708C8—61no—
709C8—92no—
710C2×C3—21no—
711C2×C3—21no—
712C2×C3—21no—
713C2×C3—42no—
714C2×C3—42no—
715C2×C3—62no—
716C2×C3—82no—
717C2×C3C2×#67⋊C411yescharacteristic
718C2×C3C4×D3×D411yescharacteristic
719C2×C3#576211yescharacteristic
720C2×C3#577011yescharacteristic
721C2×C3#577111yescharacteristic
722C2×C3#577111yescharacteristic
723D3—22no—
724C22—22no—
725C22—32no—
726C22—41no—
727C22—41no—
728C22—61no—
729C22—61no—
730C22D32×D411yescharacteristic
731C4—32no—
732C4—41no—
733C4—61no—
734C4—61no—
735C4—62no—
736C4—62no—
737C4—121no—
738C4—121no—
739C4—181no—
740C4—181no—
741C4—182no—
742C4—361no—
743C4C2×C4×D3211yescharacteristic
744C4D3×#23711yescharacteristic
745C3—21no—
746C3#7882111yescharacteristic, complemented
747C3#7964811yescharacteristic, complemented
748C2—42no—
749C2—62no—
750C2D3×#67⋊C411yescharacteristic
751C2#1059473711yescharacteristic
752C2#1059475311yescharacteristic
subgroupG/H
centerC22D32×D4
commutatorC32×C4C23×C4
FrattiniC2×C4C22×D32
FittingC32×#102C22
socleC22×C32C22×D4
prime radicalC2×C3×#237C22
cosocleC2×C32×C4C24
hypercenter#102D32
hypocenterC32#2947
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #102

Complements

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

NH ≅ G/Ntype
3. #10594357C2semidirect
4. #10592457C2semidirect
6. C3×#4758C2semidirect
7. #10591446C2semidirect
8. #10591405C2semidirect
9. #10590793C2semidirect
10. #10590790C2semidirect
11. #10590692C2semidirect
12. D3×#816C2semidirect
13. #10590485C2semidirect
14. #10590477C2semidirect
15. #10590437C2semidirect
32. #63929C4semidirect
88. #4758D3semidirect
108. D3×Dic6C2×C4semidirect
112. #3754C2×C4semidirect
119. C3×#214C2×C4semidirect
143. #3719C2×C4semidirect
144. #3718C2×C4semidirect
145. #3711C2×C4semidirect
358. #214C4×D3semidirect
673. C32#2947semidirect
746. C3#78821semidirect
747. C3#79648semidirect

Maximal subgroups

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

subgroupindex
#105952222
C2×#639292
#105943572
#105924572
C3×#47722
C3×#47582
#105914462
#105914052
#105907932
#105907902
#105906922
D3×#8162
#105904852
#105904772
#105904372
#796483
#788213