Finite Group Databasebeta

← #11889380

Subgroups — #11889380

Order 1152.

826 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Q8×#626C211yesmaximal, characteristic
2#10594553C211yesmaximal, characteristic
3#10592508C211yesmaximal, characteristic, complemented
4C3×D3×#103C211yesmaximal, characteristic, complemented
5C3×#4796C211yesmaximal, characteristic, complemented
6#10591595C211yesmaximal, characteristic, complemented
7#10591562C211yesmaximal, characteristic, complemented
8#10591541C211yesmaximal, characteristic, complemented
9#10590852C211yesmaximal, characteristic, complemented
10#10590808C211yesmaximal, characteristic, complemented
11#10590727C211yesmaximal, characteristic
12#10590715C211yesmaximal, characteristic, complemented
13#10590562C211yesmaximal, characteristic, complemented
14#10590524C211yesmaximal, characteristic, complemented
15#10590426C211yesmaximal, characteristic, complemented
16#81248—31nomaximal
17#78810—31nomaximal
18C2×Q8×C3⋊D3C2211yescharacteristic
19C2×C3×D3×Q8C2211yescharacteristic
20C2×#3756C2211yescharacteristic
21C2×#3746C2211yescharacteristic
22#64106C2211yescharacteristic
23C3×Q8×Dic3C2211yescharacteristic
24C2×C3×D3×C8C2211yescharacteristic
25C3×D3×C4⋊C4C2211yescharacteristic
26C3×#890C2211yescharacteristic
27C4×#626—21no—
28C4×#626C2211yescharacteristic
29#63871—21no—
30#63871C2211yescharacteristic
31#63866—21no—
32#63866C2211yescharacteristic
33#63857—21no—
34#63857C2211yescharacteristic
35#63857C2211yescharacteristic
36#63850—21no—
37#63849C2211yescharacteristic
38#63848—21no—
39#63845—21no—
40#63844C2211yescharacteristic
41#63841—21no—
42C2×#3719C2211yescharacteristic
43C2×#3712C2211yescharacteristic
44C32×#103C2211yescharacteristic
45#63647C2211yescharacteristic
46#63637C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×#835C2211yescharacteristic
49C3×#818C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×Dic3⋊C8C2211yescharacteristic
52C3×#810C2211yescharacteristic
53C3×#808C2211yescharacteristic
54#63574C2211yescharacteristic
55#63567C2211yescharacteristic
56#63567C2211yescharacteristic
57#63567C2211yescharacteristic
58#63565C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63554C2211yescharacteristic
61Q8×#67—31no—
62#5694—31no—
63Q8×D12—31no—
64#5513—31no—
65C3×#479—31no—
66C2×C3×#103—31no—
67#5228—31no—
68#5116—31no—
69#5111—31no—
70#5069—31no—
71#5030—31no—
72#4971—31no—
73#4888—31no—
74#4887—31no—
75#4867—31no—
76#4862—31no—
77#4849—31no—
78#4836—31no—
79#4816—31no—
80#4814—31no—
81#4809—31no—
82#4809—31no—
83#4809—31no—
84#4809—61no—
85#4802—31no—
86#4802—31no—
87D3×#103D311yescharacteristic, complemented
88#4797—31no—
89#4796D311yescharacteristic, complemented
90#4795—31no—
91#4789—31no—
92C2×C32×Q8C2311yescharacteristic
93Q8×C3⋊D3—22no—
94Q8×C3⋊D3—41no—
95C2×C4×C3⋊D3—21no—
96C2×C4×C3⋊D3C2311yescharacteristic
97C2×#634—21no—
98C2×#634C2311yescharacteristic
99C2×#634C2311yescharacteristic
100C3×D3×Q8—22no—
101C3×D3×Q8—41no—
102C2×C3×C4×D3—21no—
103C2×C3×C4×D3—21no—
104C2×C3×C4×D3C2311yescharacteristic
105C2×C3×Dic6—21no—
106C2×C3×Dic6C2311yescharacteristic
107C2×#626D411yescharacteristic
108C2×C32×C8C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110#3756—22no—
111#3752—21no—
112C4⋊(C3⋊Dic3)—21no—
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114#3746—41no—
115C3×C4⋊Dic3—21no—
116C3×C4⋊Dic3—21no—
117C3×C4⋊Dic3C2311yescharacteristic
118C3×C4⋊Dic3C2311yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×Dic3⋊C4—21no—
121C3×Dic3⋊C4—21no—
122C3×C4×Dic3—21no—
123C3×C4×Dic3C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C3×D3×C8—41no—
127#3724—21no—
128Dic3⋊Dic3—21no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133Dic3⋊Dic3D411yescharacteristic
134#3722—21no—
135#3722—21no—
136#3722D411yescharacteristic
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3—21no—
139(C2×D3)⋊Dic3D411yescharacteristic
140Dic32—21no—
141Dic32—21no—
142#3719—41no—
143#3712—41no—
144#3312—91noSylow
145C22×C3×Q8—31no—
146C2×D3×Q8—31no—
147C2×D3×Q8—31no—
148C2×D3×Q8—61no—
149C2×D3×Q8C2×D311yescharacteristic
150C22×C3×C8—31no—
151C3×#125—31no—
152C3×C4×Q8—31no—
153C2×C3×C4⋊C4—31no—
154#946—31no—
155#946—61no—
156Q8×Dic3C2×D311yescharacteristic
157#944—31no—
158#944—61no—
159C2×#216—31no—
160C2×#216—31no—
161C2×#216—31no—
162C2×#216—61no—
163#929—61no—
164C4×#67—31no—
165C4×#67—61no—
166#926—61no—
167#924—31no—
168#924—31no—
169#924—61no—
170C2×Dic12—31no—
171C2×Dic12—31no—
172C2×Dic12—31no—
173C2×Dic12—61no—
174C2×ΓL(1,𝔽25)—31no—
175C2×ΓL(1,𝔽25)—31no—
176C2×D3×C8C2×D311yescharacteristic
177#898—61no—
178#898—61no—
179#897—31no—
180#897—31no—
181#897—31no—
182#897—31no—
183#897—31no—
184#897—61no—
185#897—61no—
186#897—61no—
187#894—61no—
188#892—31no—
189#892—31no—
190#892—61no—
191D3×C4⋊C4C2×D311yescharacteristic
192#890—61no—
193#890C2×D311yescharacteristic
194#889—61no—
195#887—31no—
196C4×D12—31no—
197C4×D12—61no—
198#869—31no—
199#869—61no—
200C4×Dic6—31no—
201C3×#107—31no—
202C3×#106—31no—
203C3×C4⋊C8—31no—
204C3×#103—21no—
205C3×#103—31no—
206C3×#103—31no—
207C3×#103—31no—
208C3×#103—31no—
209C3×#103C2×D311yescharacteristic
210C3×#103C2×D311yescharacteristic
211#835—31no—
212#835C2×D311yescharacteristic
213#835C2×D311yescharacteristic
214#830—31no—
215(C2×D3)⋊C8—31no—
216(C2×D3)⋊C8—31no—
217(C2×D3)⋊C8—31no—
218(C2×D3)⋊C8—61no—
219#818C2×D311yescharacteristic
220#816—31no—
221#816—31no—
222#816—31no—
223#816C2×D311yescharacteristic
224#815—31no—
225Dic3⋊C8C2×D311yescharacteristic
226#810—31no—
227#810—31no—
228#810—31no—
229#810—31no—
230#810—31no—
231#810—31no—
232#810—61no—
233#810C2×D311yescharacteristic
234#808—31no—
235#808—31no—
236#808C2×D311yescharacteristic
237#803—31no—
238C22×C3⋊D3C2×D411yescharacteristic
239C22×C3×D3C2×D411yescharacteristic
240C32×Q8—21no—
241C32×Q8#4112yes—
242C2×C32×C4—21no—
243C2×C32×C4—21no—
244C2×C32×C4C2411yescharacteristic
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3—21no—
247C2×C3⋊Dic3C2×D411yescharacteristic
248C4×C3⋊D3—21no—
249C4×C3⋊D3—21no—
250C4×C3⋊D3—42no—
251#634—21no—
252#634—21no—
253#634—21no—
254#634—21no—
255#634—42no—
256C2×C3×Dic3—21no—
257C2×C3×Dic3—21no—
258C2×C3×Dic3—21no—
259C2×C3×Dic3—21no—
260C2×C3×Dic3C2×D411yescharacteristic
261C2×C3×Dic3C2×D411yescharacteristic
262C2×C3×Dic3C2×D411yescharacteristic
263C3×C4×D3—21no—
264C3×C4×D3—21no—
265C3×C4×D3—42no—
266C3×C4×D3—42no—
267C3×Dic6—21no—
268C3×Dic6—21no—
269C3×Dic6—42no—
270#626—22no—
271C32×C8—21no—
272C3⋊(C3⋊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—91no—
288#419—91no—
289C2×#103—31no—
290C2×C3×Q8—21no—
291C2×C3×Q8—31no—
292C2×C3×Q8—61no—
293C2×C3×Q8—62no—
294C2×C3×Q8—121no—
295C2×C3×Q8C22×D311yescharacteristic
296C2×C3×Q8C22×D311yescharacteristic
297C22×C3×C4—31no—
298C22×C3×C4—61no—
299C22×C3×C4—61no—
300C2×#67—31no—
301D3×Q8—22no—
302D3×Q8—41no—
303D3×Q8—62no—
304D3×Q8—62no—
305D3×Q8—122no—
306D3×Q8—121no—
307D3×Q8—121no—
308D3×Q8—122no—
309C2×D12—31no—
310C2×C4×D3—21no—
311C2×C4×D3—21no—
312C2×C4×D3—31no—
313C2×C4×D3—31no—
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×C4×D3—121no—
318C2×C4×D3C22×D311yescharacteristic
319C2×Dic6—21no—
320C2×Dic6—31no—
321C2×Dic6—31no—
322C2×Dic6—31no—
323C2×Dic6—31no—
324C2×Dic6—61no—
325C2×Dic6—61no—
326C2×Dic6—61no—
327C2×Dic6—61no—
328C2×Dic6—121no—
329C2×Dic6C22×D311yescharacteristic
330C2×C3×C8—21no—
331C2×C3×C8—31no—
332C2×C3×C8—31no—
333C2×C3×C8—121no—
334C2×C3×C8C22×D311yescharacteristic
335C2×C3×C8C22×D311yescharacteristic
336C3×C4⋊C4—21no—
337C3×C4⋊C4—31no—
338C3×C4⋊C4—31no—
339C3×C4⋊C4—31no—
340C3×C4⋊C4—61no—
341C3×C4⋊C4—61no—
342C3×C4⋊C4—61no—
343C3×C4⋊C4—61no—
344C3×C4⋊C4C22×D311yescharacteristic
345C3×C4⋊C4C22×D311yescharacteristic
346C3×C42—31no—
347C3×C42—61no—
348#217—31no—
349#217—61no—
350#217—61no—
351#216—62no—
352#216—62no—
353#216—122no—
354#216—121no—
355(C2×D3)⋊C4—31no—
356(C2×D3)⋊C4—31no—
357(C2×D3)⋊C4—31no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—61no—
365(C2×D3)⋊C4—61no—
366(C2×D3)⋊C4—121no—
367C4⋊Dic3—21no—
368C4⋊Dic3—21no—
369C4⋊Dic3—31no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3—61no—
374C4⋊Dic3—61no—
375C4⋊Dic3—61no—
376C4⋊Dic3—61no—
377C4⋊Dic3—121no—
378C4⋊Dic3C22×D311yescharacteristic
379C4⋊Dic3C22×D311yescharacteristic
380C4⋊Dic3C22×D311yescharacteristic
381Dic3⋊C4—21no—
382Dic3⋊C4—21no—
383Dic3⋊C4—31no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387Dic3⋊C4—61no—
388Dic3⋊C4—61no—
389Dic3⋊C4—61no—
390Dic3⋊C4—61no—
391C4×Dic3—21no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C4×Dic3—61no—
395C4×Dic3—61no—
396C4×Dic3C22×D311yescharacteristic
397C2×C3⋊C8—31no—
398C2×C3⋊C8—31no—
399C2×C3⋊C8—61no—
400C2×C3⋊C8C22×D311yescharacteristic
401C2×C3⋊C8C22×D311yescharacteristic
402Dic12—121no—
403Dic12—121no—
404Dic12—122no—
405Dic12—121no—
406ΓL(1,𝔽25)—121no—
407ΓL(1,𝔽25)—121no—
408D3×C8—41no—
409C22×C32C22×D411yescharacteristic
410C2×C3⋊D3—21no—
411C2×C3⋊D3—21no—
412C2×C3⋊D3—21no—
413C2×C3×D3—21no—
414C2×C3×D3—21no—
415C2×C3×D3#13712yes—
416C32×C4—22no—
417C32×C4—41no—
418C32×C4C2×#4111yescharacteristic
419C32×C4H(5,𝔽2)11yescharacteristic
420C3⋊Dic3—21no—
421C3⋊Dic3—41no—
422C3⋊Dic3—41no—
423C3×Dic3—21no—
424C3×Dic3—21no—
425C3×Dic3—21no—
426C3×Dic3—41no—
427C3×Dic3—41no—
428C3×Dic3—41no—
429C3×Dic3—41no—
430C22×Q8—31no—
431C22×Q8—91no—
432C2×Q16—91no—
433C2×Q16—91no—
434C2×Q16—91no—
435C2×M16—91no—
436C22×C8—31no—
437C4⋊Q8—91no—
438C4⋊Q8—181no—
439#126—181no—
440#125—31no—
441#125—181no—
442#123—181no—
443C22⋊Q8—91no—
444C22⋊Q8—91no—
445C22⋊Q8—91no—
446C22⋊Q8—91no—
447C22⋊Q8—181no—
448C22⋊Q8—181no—
449C4×Q8—31no—
450C4×Q8—91no—
451C4×D4—91no—
452C4×D4—181no—
453#117—91no—
454#117—181no—
455C2×C4⋊C4—31no—
456#107—31no—
457#106—31no—
458#106—91no—
459C4⋊C8—31no—
460#103—31no—
461#103—31no—
462#103—31no—
463#103—31no—
464#103—91no—
465#103—91no—
466#103—91no—
467#103—91no—
468#103—91no—
469#103D3211yescharacteristic
470C22⋊C8—91no—
471C22⋊C8—91no—
472#97—91no—
473C23×C3—31no—
474C22×D3—31no—
475C22×D3—31no—
476C22×D3—61no—
477C22×D3D3×D411yescharacteristic
478C3×Q8—21no—
479C3×Q8—21no—
480C3×Q8—22no—
481C3×Q8—41no—
482C3×Q8—61no—
483C3×Q8—61no—
484C3×Q8—122no—
485C3×Q8#23512yes—
486C3×Q8#23912yes—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—31no—
493C2×C3×C4—31no—
494C2×C3×C4—31no—
495C2×C3×C4—41no—
496C2×C3×C4—41no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4—61no—
503C2×C3×C4—122no—
504C2×C3×C4—122no—
505C2×C3×C4C23×D311yescharacteristic
506C2×C3×C4C23×D311yescharacteristic
507#67—62no—
508C2×Dic3—21no—
509C2×Dic3—21no—
510C2×Dic3—21no—
511C2×Dic3—21no—
512C2×Dic3—31no—
513C2×Dic3—31no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—61no—
519C2×Dic3—121no—
520C2×Dic3—121no—
521C2×Dic3D3×D411yescharacteristic
522C2×Dic3D3×D411yescharacteristic
523C2×Dic3D3×D411yescharacteristic
524D12—62no—
525C4×D3—21no—
526C4×D3—21no—
527C4×D3—42no—
528C4×D3—42no—
529C4×D3—61no—
530C4×D3—61no—
531C4×D3—61no—
532C4×D3—61no—
533C4×D3—121no—
534C4×D3—121no—
535C4×D3—122no—
536C4×D3—122no—
537C4×D3—124no—
538Dic6—21no—
539Dic6—21no—
540Dic6—42no—
541Dic6—62no—
542Dic6—61no—
543Dic6—61no—
544Dic6—61no—
545Dic6—61no—
546Dic6—61no—
547Dic6—61no—
548Dic6—61no—
549Dic6—61no—
550Dic6—121no—
551Dic6—121no—
552Dic6—121no—
553Dic6—122no—
554Dic6—122no—
555Dic6—124no—
556C3×C8—21no—
557C3×C8—21no—
558C3×C8—41no—
559C3×C8—61no—
560C3×C8—61no—
561C3⋊C8—21no—
562C3⋊C8—21no—
563C3⋊C8—61no—
564C3⋊C8—61no—
565C3⋊C8—121no—
566C2×C32#54611yescharacteristic
567C2×C32C2×#13711yescharacteristic
568C2×C32#57811yescharacteristic
569C3⋊D3—41no—
570C3×D3—22no—
571C2×Q8—31no—
572C2×Q8—61no—
573C2×Q8—62no—
574C2×Q8—91no—
575C2×Q8—91no—
576C2×Q8—121no—
577C2×Q8—181no—
578C2×Q8—182no—
579C2×Q8—361no—
580C2×Q8C2×D3211yescharacteristic
581C2×D4—91no—
582C22×C4—31no—
583C22×C4—61no—
584C22×C4—61no—
585C22×C4—91no—
586C22×C4—181no—
587Q16—182no—
588Q16—361no—
589Q16—361no—
590M16—361no—
591C2×C8—31no—
592C2×C8—31no—
593C2×C8—91no—
594C2×C8—121no—
595C2×C8C2×D3211yescharacteristic
596C4⋊C4—31no—
597C4⋊C4—31no—
598C4⋊C4—31no—
599C4⋊C4—61no—
600C4⋊C4—61no—
601C4⋊C4—61no—
602C4⋊C4—61no—
603C4⋊C4—91no—
604C4⋊C4—181no—
605C4⋊C4—181no—
606C4⋊C4—181no—
607C4⋊C4—181no—
608C4⋊C4—181no—
609C4⋊C4—181no—
610C4⋊C4—181no—
611C4⋊C4C2×D3211yescharacteristic
612C22⋊C4—91no—
613C22⋊C4—91no—
614C22⋊C4—181no—
615C22⋊C4—181no—
616C22⋊C4—181no—
617C22⋊C4—181no—
618C22⋊C4—181no—
619C42—31no—
620C42—61no—
621C42—181no—
622C42—181no—
623C22×C3—21no—
624C22×C3—32no—
625C22×C3—61no—
626C22×C3—61no—
627C22×C3C2×D3×D411yescharacteristic
628C22×C3C2×D3×D411yescharacteristic
629C2×D3—21no—
630C2×D3—21no—
631C2×D3—62no—
632C2×D3—61no—
633C2×D3—61no—
634C2×D3—61no—
635C2×D3—61no—
636C2×D3—61no—
637C2×D3—61no—
638C2×D3—121no—
639C2×D3—121no—
640C2×D3#91512yes—
641C3×C4—22no—
642C3×C4—22no—
643C3×C4—21no—
644C3×C4—21no—
645C3×C4—42no—
646C3×C4—41no—
647C3×C4—41no—
648C3×C4—61no—
649C3×C4—61no—
650C3×C4—61no—
651C3×C4—81no—
652C3×C4—121no—
653C3×C4—121no—
654C3×C4—121no—
655C3×C4—121no—
656C3×C4C2×#23511yescharacteristic
657C3×C4#100411yescharacteristic
658C3×C4C2×#23911yescharacteristic
659C3×C4#100911yescharacteristic
660Dic3—21no—
661Dic3—21no—
662Dic3—21no—
663Dic3—41no—
664Dic3—41no—
665Dic3—41no—
666Dic3—41no—
667Dic3—61no—
668Dic3—61no—
669Dic3—121no—
670Dic3—122no—
671Dic3—121no—
672Dic3—121no—
673Dic3—121no—
674Dic3—121no—
675Dic3—241no—
676C32#331211yescharacteristic, complemented, Sylow
677C23—31no—
678C23—91no—
679Q8—21no—
680Q8—61no—
681Q8—61no—
682Q8—122no—
683Q8—181no—
684Q8—181no—
685Q8—181no—
686Q8—181no—
687Q8—362no—
688Q8#379912yes—
689D4—182no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—31no—
693C2×C4—31no—
694C2×C4—31no—
695C2×C4—61no—
696C2×C4—61no—
697C2×C4—61no—
698C2×C4—61no—
699C2×C4—61no—
700C2×C4—61no—
701C2×C4—91no—
702C2×C4—122no—
703C2×C4—122no—
704C2×C4—181no—
705C2×C4—181no—
706C2×C4—181no—
707C2×C4—181no—
708C2×C4—362no—
709C2×C4C22×D3211yescharacteristic
710C8—21no—
711C8—61no—
712C8—61no—
713C8—181no—
714C2×C3—21no—
715C2×C3—21no—
716C2×C3—21no—
717C2×C3—62no—
718C2×C3#549011yescharacteristic
719C2×C3#563011yescharacteristic
720C2×C3C2×#91511yescharacteristic
721C2×C3#576611yescharacteristic
722C2×C3#577111yescharacteristic
723C2×C3D3×#13711yescharacteristic
724D3—22no—
725D3—122no—
726D3—121no—
727D3—121no—
728C22—32no—
729C22—61no—
730C22—61no—
731C22—181no—
732C22—181no—
733C22—181no—
734C22D32×D411yescharacteristic
735C4—22no—
736C4—41no—
737C4—61no—
738C4—61no—
739C4—61no—
740C4—121no—
741C4—121no—
742C4—121no—
743C4—121no—
744C4—181no—
745C4—361no—
746C4—361no—
747C4C2×#379911yescharacteristic
748C4#6431411yescharacteristic
749C3—21no—
750C3#7881011yescharacteristic, complemented
751C3#8124811yescharacteristic, complemented
752C2—62no—
753C2—361no—
754C2#1059418711yescharacteristic
755C2D3×#91511yescharacteristic
756C2#1059476811yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radicalC2×#626D4
hypercenter#103D32
hypocenterC32#3312
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

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

NH ≅ G/Ntype
3. #10592508C2semidirect
4. C3×D3×#103C2semidirect
5. C3×#4796C2semidirect
6. #10591595C2semidirect
7. #10591562C2semidirect
8. #10591541C2semidirect
9. #10590852C2semidirect
10. #10590808C2semidirect
12. #10590715C2semidirect
13. #10590562C2semidirect
14. #10590524C2semidirect
15. #10590426C2semidirect
87. D3×#103D3semidirect
89. #4796D3semidirect
676. C32#3312semidirect
750. C3#78810semidirect
751. C3#81248semidirect

Maximal subgroups

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

subgroupindex
Q8×#6262
#105945532
#105925082
C3×D3×#1032
C3×#47962
#105915952
#105915622
#105915412
#105908522
#105908082
#105907272
#105907152
#105905622
#105905242
#105904262
#812483
#788103