Finite Group Databasebeta

← #11872448

Subgroups — #11872448

Order 1152.

891 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
1#10596298C211yesmaximal, characteristic
2#10594826C211yesmaximal, characteristic, complemented
3C3×#5239C211yesmaximal, characteristic
4C3×#5239C211yesmaximal, characteristic
5#10591633C211yesmaximal, characteristic, complemented
6#10591615C211yesmaximal, characteristic, complemented
7#10591582C211yesmaximal, characteristic, complemented
8#10591581C211yesmaximal, characteristic, complemented
9#10591497C211yesmaximal, characteristic, complemented
10#10591479C211yesmaximal, characteristic, complemented
11#10591446C211yesmaximal, characteristic, complemented
12#10591445C211yesmaximal, characteristic, complemented
13#10591126C211yesmaximal, characteristic, complemented
14#10591103C211yesmaximal, characteristic, complemented
15#10591062C211yesmaximal, characteristic, complemented
16#80217—31nomaximal
17#80216—31nomaximal
18C2×C32×#41C2211yescharacteristic
19Q8×C3⋊Dic3C2211yescharacteristic
20Q8×C3⋊Dic3C2211yescharacteristic
21D4×C3⋊Dic3—21no—
22D4×C3⋊Dic3—21no—
23D4×C3⋊Dic3C2211yescharacteristic
24D4×C3⋊Dic3C2211yescharacteristic
25#64135—21no—
26#64135C2211yescharacteristic
27C2×C4⋊(C3⋊Dic3)—21no—
28C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
29C2×C3×#216C2211yescharacteristic
30C2×C3×#216C2211yescharacteristic
31C2×C3×#214C2211yescharacteristic
32C2×C3×#214C2211yescharacteristic
33C3×#924C2211yescharacteristic
34C3×#924C2211yescharacteristic
35#63956—21no—
36#63956—21no—
37#63873C2211yescharacteristic
38#63872C2211yescharacteristic
39#63845—21no—
40#63845—21no—
41#63843C2211yescharacteristic
42#63843C2211yescharacteristic
43C3×#835C2211yescharacteristic
44C3×#835C2211yescharacteristic
45C3×#832C2211yescharacteristic
46C3×#832C2211yescharacteristic
47C3×#830C2211yescharacteristic
48C3×#830C2211yescharacteristic
49#63575C2211yescharacteristic
50#63575C2211yescharacteristic
51#63573C2211yescharacteristic
52#63573C2211yescharacteristic
53#63572C2211yescharacteristic
54#63572C2211yescharacteristic
55#63566C2211yescharacteristic
56#63566C2211yescharacteristic
57#63566C2211yescharacteristic
58#63566C2211yescharacteristic
59#63555C2211yescharacteristic
60#63553C2211yescharacteristic
61#5827—31no—
62#5827—31no—
63#5827—61no—
64#5625—31no—
65#5625—31no—
66C3×#452—31no—
67C3×#452—31no—
68#5239D311yescharacteristic
69#5239D311yescharacteristic
70#5184—31no—
71#5182—31no—
72#5182—31no—
73Dic3×Q16—31no—
74#5164—31no—
75#5162—31no—
76#5162—31no—
77Dic3×SD16—31no—
78#5044—31no—
79#5043—31no—
80#4799—31no—
81#4796—31no—
82#4790—31no—
83#4789—31no—
84#4766—31no—
85#4763—31no—
86#4758—31no—
87#4757—31no—
88#4722—31no—
89#4721—31no—
90#4720—31no—
91#4720—31no—
92C32×#41—22no—
93C32×#41—22no—
94C2×C32×Q8C2311yescharacteristic
95C2×C32×D4—21no—
96C2×C32×D4C2311yescharacteristic
97C22×C32×C4—21no—
98C22×C32×C4C2311yescharacteristic
99C22×C3⋊Dic3—21no—
100C22×C3⋊Dic3—21no—
101C22×C3⋊Dic3—21no—
102C2×C3×Dic6C2311yescharacteristic
103C2×C3×Dic6C2311yescharacteristic
104#3757—21no—
105#3757—21no—
106#3757D411yescharacteristic
107#3757D411yescharacteristic
108C4⋊(C3⋊Dic3)—21no—
109C4⋊(C3⋊Dic3)—21no—
110C4⋊(C3⋊Dic3)—21no—
111C4⋊(C3⋊Dic3)D411yescharacteristic
112C4⋊(C3⋊Dic3)D411yescharacteristic
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115C4×C3⋊Dic3—21no—
116C4×C3⋊Dic3—21no—
117C4×C3⋊Dic3C2311yescharacteristic
118C4×C3⋊Dic3C2311yescharacteristic
119C3×#217—21no—
120C3×#217—21no—
121C3×#216—22no—
122C3×#216—22no—
123C3×#214—22no—
124C3×#214—22no—
125C3×C4⋊Dic3C2311yescharacteristic
126C3×C4⋊Dic3C2311yescharacteristic
127C3×Dic3⋊C4—21no—
128C3×Dic3⋊C4—21no—
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132C2×C3×C3⋊C8C2311yescharacteristic
133#3724—21no—
134#3724—21no—
135Dic3⋊Dic3—21no—
136Dic3⋊Dic3—21no—
137Dic3⋊Dic3—21no—
138Dic3⋊Dic3—21no—
139Dic32—21no—
140Dic32—21no—
141#3120—91noSylow
142C2×C3×#41—21no—
143C2×C3×#41C2×D311yescharacteristic
144C2×C3×#41C2×D311yescharacteristic
145C2×C3×Q16—31no—
146C2×C3×Q16—31no—
147C2×C3×SD16—31no—
148C2×C3×SD16—31no—
149C3×C22⋊Q8—31no—
150C3×C22⋊Q8—31no—
151Q8×Dic3—31no—
152Q8×Dic3—31no—
153Q8×Dic3—31no—
154Q8×Dic3—31no—
155Q8×Dic3—31no—
156Q8×Dic3—31no—
157Q8×Dic3—61no—
158Q8×Dic3—61no—
159#944—31no—
160#944—31no—
161C2×#216C2×D311yescharacteristic
162C2×#216C2×D311yescharacteristic
163D4×Dic3—31no—
164D4×Dic3—31no—
165D4×Dic3—31no—
166D4×Dic3—31no—
167D4×Dic3—61no—
168D4×Dic3—61no—
169D4×Dic3—61no—
170D4×Dic3—61no—
171D4×Dic3—61no—
172D4×Dic3—61no—
173D4×Dic3—62no—
174D4×Dic3—62no—
175C2×#214C2×D311yescharacteristic
176C2×#214C2×D311yescharacteristic
177#926—31no—
178#926—31no—
179#926—61no—
180#926—61no—
181#926—61no—
182#926—62no—
183C2×C4⋊Dic3—31no—
184C2×C4⋊Dic3—31no—
185C2×C4⋊Dic3—61no—
186C2×C4⋊Dic3—61no—
187C2×C4⋊Dic3—61no—
188C2×C4⋊Dic3—62no—
189#924C2×D311yescharacteristic
190#924C2×D311yescharacteristic
191#890—31no—
192#890—31no—
193#890—61no—
194#890—61no—
195#889—61no—
196#889—61no—
197#887—31no—
198#887—31no—
199#879—61no—
200#879—61no—
201#879—61no—
202#879—61no—
203C3×#103—31no—
204C3×#103—31no—
205C3×#102—31no—
206C3×#102—31no—
207C3×C22⋊C8—31no—
208C3×C22⋊C8—31no—
209#835—31no—
210#835—31no—
211#835—31no—
212#835—31no—
213#835C2×D311yescharacteristic
214#835C2×D311yescharacteristic
215#832C2×D311yescharacteristic
216#832C2×D311yescharacteristic
217#830C2×D311yescharacteristic
218#830C2×D311yescharacteristic
219#818—31no—
220#818—31no—
221#817—31no—
222#817—31no—
223#816—31no—
224#816—31no—
225#816—31no—
226#816—31no—
227#815—31no—
228#815—31no—
229Dic3⋊C8—31no—
230Dic3⋊C8—31no—
231Dic3⋊C8—31no—
232Dic3⋊C8—31no—
233C8×Dic3—31no—
234C8×Dic3—31no—
235#808—31no—
236#808—31no—
237#807—31no—
238#807—31no—
239C23×C32—21no—
240C23×C32C2×D411yescharacteristic
241C32×Q8—21no—
242C32×Q8#4112yes—
243C32×D4—24no—
244C32×D4—21no—
245C32×D4#4112yes—
246C2×C32×C4—24no—
247C2×C32×C4—21no—
248C2×C32×C4—21no—
249C2×C32×C4—21no—
250C2×C32×C4C2×D411yescharacteristic
251C2×C32×C4C2411yescharacteristic
252C2×C3⋊Dic3—21no—
253C2×C3⋊Dic3—21no—
254C2×C3⋊Dic3—81no—
255C2×C3⋊Dic3—81no—
256C2×C3⋊Dic3—81no—
257C2×C3⋊Dic3C2×D411yescharacteristic
258C2×C3⋊Dic3C2×D411yescharacteristic
259C2×C3⋊Dic3C2×D411yescharacteristic
260C2×C3⋊Dic3C2×D411yescharacteristic
261C2×C3×Dic3—21no—
262C2×C3×Dic3—21no—
263C2×C3×Dic3—21no—
264C2×C3×Dic3—21no—
265C3×Dic6—21no—
266C3×Dic6—21no—
267C3×Dic6—21no—
268C3×Dic6—21no—
269C3×C3⋊C8—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272C3×C3⋊C8—21no—
273#541—91no—
274#520—91no—
275#484—91no—
276#483—91no—
277#479—91no—
278#478—91no—
279#462—91no—
280#461—91no—
281#452—31no—
282#452—31no—
283#441—91no—
284#440—91no—
285C4×Q16—91no—
286C4×SD16—91no—
287#433—91no—
288C3×#41—24no—
289C3×#41—24no—
290C3×#41—22no—
291C3×#41—22no—
292C3×#41—22no—
293C3×#41—22no—
294C2×C3×Q8—21no—
295C2×C3×Q8—31no—
296C2×C3×Q8—31no—
297C2×C3×Q8C22×D311yescharacteristic
298C2×C3×Q8C22×D311yescharacteristic
299C2×C3×D4—22no—
300C2×C3×D4—21no—
301C2×C3×D4—21no—
302C2×C3×D4—21no—
303C2×C3×D4C22×D311yescharacteristic
304C2×C3×D4C22×D311yescharacteristic
305C22×C3×C4—22no—
306C22×C3×C4—21no—
307C22×C3×C4—21no—
308C22×C3×C4—21no—
309C22×C3×C4C22×D311yescharacteristic
310C22×C3×C4C22×D311yescharacteristic
311C22×Dic3—61no—
312C22×Dic3—61no—
313C22×Dic3—61no—
314C22×Dic3—61no—
315C22×Dic3—62no—
316C22×Dic3—62no—
317C22×Dic3—62no—
318C22×Dic3—61no—
319C22×Dic3—61no—
320C2×Dic6C22×D311yescharacteristic
321C2×Dic6C22×D311yescharacteristic
322C3×Q16—62no—
323C3×Q16—62no—
324C3×SD16—62no—
325C3×SD16—62no—
326C2×C3×C8—31no—
327C2×C3×C8—31no—
328C2×C3×C8—31no—
329C2×C3×C8—31no—
330C3×C4⋊C4—31no—
331C3×C4⋊C4—31no—
332C3×C4⋊C4—61no—
333C3×C4⋊C4—61no—
334C3×C22⋊C4—61no—
335C3×C22⋊C4—61no—
336#217—21no—
337#217—21no—
338#217—31no—
339#217—31no—
340#217—31no—
341#217—31no—
342#217—61no—
343#217—61no—
344#217—61no—
345#217—61no—
346#217—61no—
347#217—61no—
348#217—62no—
349#217—62no—
350#216—22no—
351#216—22no—
352#214—22no—
353#214—22no—
354C4⋊Dic3—31no—
355C4⋊Dic3—31no—
356C4⋊Dic3—31no—
357C4⋊Dic3—31no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—31no—
362C4⋊Dic3—61no—
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—61no—
374C4⋊Dic3—62no—
375C4⋊Dic3—62no—
376C4⋊Dic3—62no—
377C4⋊Dic3—61no—
378C4⋊Dic3—61no—
379C4⋊Dic3C22×D311yescharacteristic
380C4⋊Dic3C22×D311yescharacteristic
381Dic3⋊C4—21no—
382Dic3⋊C4—21no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—61no—
387Dic3⋊C4—61no—
388Dic3⋊C4—61no—
389Dic3⋊C4—61no—
390Dic3⋊C4—61no—
391C4×Dic3—31no—
392C4×Dic3—31no—
393C4×Dic3—31no—
394C4×Dic3—31no—
395C4×Dic3—61no—
396C4×Dic3—61no—
397C4×Dic3—61no—
398C4×Dic3—61no—
399C4×Dic3—61no—
400C4×Dic3—61no—
401C4×Dic3—61no—
402C4×Dic3—61no—
403C4×Dic3—61no—
404C4×Dic3—61no—
405C4×Dic3—62no—
406C4×Dic3—62no—
407C2×C3⋊C8C22×D311yescharacteristic
408C2×C3⋊C8C22×D311yescharacteristic
409C2×C3⋊C8C22×D311yescharacteristic
410C2×C3⋊C8C22×D311yescharacteristic
411C22×C32—21no—
412C22×C32—22no—
413C22×C32—21no—
414C22×C32—21no—
415C22×C32—41no—
416C22×C32—41no—
417C22×C32C22×D411yescharacteristic
418C32×C4—21no—
419C32×C4—22no—
420C32×C4C2×#4111yescharacteristic
421C32×C4C2×#4111yescharacteristic
422C3⋊Dic3—21no—
423C3⋊Dic3—21no—
424C3⋊Dic3—21no—
425C3⋊Dic3—21no—
426C3⋊Dic3—41no—
427C3⋊Dic3—41no—
428C3×Dic3—41no—
429C3×Dic3—41no—
430C3×Dic3—41no—
431C3×Dic3—41no—
432C2×#41D3211yescharacteristic
433C2×Q16—31no—
434C2×Q16—31no—
435C2×SD16—31no—
436C2×SD16—31no—
437C4⋊Q8—91no—
438#126—181no—
439#126—181no—
440#125—91no—
441#125—181no—
442#125—181no—
443C22⋊Q8—31no—
444C22⋊Q8—31no—
445C4×Q8—91no—
446C4×Q8—91no—
447C4×Q8—91no—
448C4×Q8—91no—
449C4×D4—91no—
450C4×D4—91no—
451C4×D4—181no—
452C4×D4—181no—
453#117—91no—
454#117—181no—
455C2×C4⋊C4—91no—
456C2×C4⋊C4—181no—
457#107—91no—
458#107—91no—
459#106—91no—
460#106—91no—
461C4⋊C8—91no—
462C4⋊C8—91no—
463#103—31no—
464#103—31no—
465#103—91no—
466#103—91no—
467#103—91no—
468#103—91no—
469#102—31no—
470#102—31no—
471C22⋊C8—31no—
472C22⋊C8—31no—
473#97—91no—
474C4×C8—91no—
475C23×C3—22no—
476C23×C3—21no—
477C23×C3—21no—
478C23×C3—21no—
479C23×C3D3×D411yescharacteristic
480C23×C3D3×D411yescharacteristic
481C3×Q8—22no—
482C3×Q8—21no—
483C3×Q8—21no—
484C3×Q8—22no—
485C3×Q8—61no—
486C3×Q8—61no—
487C3×Q8—61no—
488C3×Q8—61no—
489C3×Q8#23712yes—
490C3×Q8#23712yes—
491C3×D4—28no—
492C3×D4—24no—
493C3×D4—24no—
494C3×D4—22no—
495C3×D4—21no—
496C3×D4—21no—
497C3×D4—22no—
498C3×D4#23712yes—
499C3×D4#23712yes—
500C2×C3×C4—22no—
501C2×C3×C4—28no—
502C2×C3×C4—24no—
503C2×C3×C4—24no—
504C2×C3×C4—22no—
505C2×C3×C4—22no—
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—21no—
514C2×C3×C4—61no—
515C2×C3×C4—61no—
516C2×C3×C4—61no—
517C2×C3×C4—61no—
518C2×C3×C4D3×D411yescharacteristic
519C2×C3×C4D3×D411yescharacteristic
520C2×C3×C4C23×D311yescharacteristic
521C2×C3×C4C23×D311yescharacteristic
522C2×Dic3—21no—
523C2×Dic3—21no—
524C2×Dic3—21no—
525C2×Dic3—21no—
526C2×Dic3—31no—
527C2×Dic3—31no—
528C2×Dic3—31no—
529C2×Dic3—31no—
530C2×Dic3—31no—
531C2×Dic3—31no—
532C2×Dic3—31no—
533C2×Dic3—31no—
534C2×Dic3—61no—
535C2×Dic3—61no—
536C2×Dic3—61no—
537C2×Dic3—61no—
538C2×Dic3—62no—
539C2×Dic3—62no—
540C2×Dic3—61no—
541C2×Dic3—61no—
542C2×Dic3—61no—
543C2×Dic3—61no—
544C2×Dic3—241no—
545C2×Dic3—241no—
546C2×Dic3—241no—
547C2×Dic3—241no—
548C2×Dic3—241no—
549C2×Dic3—241no—
550C2×Dic3—242no—
551C2×Dic3—242no—
552C2×Dic3—242no—
553Dic6—21no—
554Dic6—21no—
555Dic6—21no—
556Dic6—21no—
557C3×C8—61no—
558C3×C8—61no—
559C3×C8—61no—
560C3×C8—61no—
561C3⋊C8—21no—
562C3⋊C8—21no—
563C3⋊C8—21no—
564C3⋊C8—21no—
565C2×C32—41no—
566C2×C32—42no—
567C2×C32#52511yescharacteristic
568C2×C32#57711yescharacteristic
569C2×C32#57811yescharacteristic
570#41—22no—
571#41—22no—
572C2×Q8—31no—
573C2×Q8—31no—
574C2×Q8C2×D3211yescharacteristic
575C2×D4—21no—
576C2×D4C2×D3211yescharacteristic
577C22×C4—21no—
578C22×C4—181no—
579C22×C4—181no—
580C22×C4—181no—
581C22×C4C2×D3211yescharacteristic
582Q16—62no—
583Q16—62no—
584SD16—62no—
585SD16—62no—
586C2×C8—31no—
587C2×C8—31no—
588C2×C8—31no—
589C2×C8—31no—
590C4⋊C4—31no—
591C4⋊C4—31no—
592C4⋊C4—61no—
593C4⋊C4—61no—
594C4⋊C4—91no—
595C4⋊C4—91no—
596C4⋊C4—91no—
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—
606C4⋊C4—181no—
607C22⋊C4—61no—
608C22⋊C4—61no—
609C22⋊C4—91no—
610C22⋊C4—91no—
611C22⋊C4—181no—
612C22⋊C4—181no—
613C42—91no—
614C42—91no—
615C42—181no—
616C42—181no—
617C42—181no—
618C42—181no—
619C22×C3—22no—
620C22×C3—24no—
621C22×C3—21no—
622C22×C3—21no—
623C22×C3—21no—
624C22×C3—21no—
625C22×C3—21no—
626C22×C3—21no—
627C22×C3—22no—
628C22×C3—22no—
629C22×C3—21no—
630C22×C3—41no—
631C22×C3—41no—
632C22×C3—42no—
633C22×C3—42no—
634C22×C3—41no—
635C22×C3—41no—
636C22×C3—41no—
637C22×C3—41no—
638C22×C3C2×D3×D411yescharacteristic
639C22×C3C2×D3×D411yescharacteristic
640C3×C4—22no—
641C3×C4—24no—
642C3×C4—21no—
643C3×C4—21no—
644C3×C4—22no—
645C3×C4—22no—
646C3×C4—21no—
647C3×C4—21no—
648C3×C4—121no—
649C3×C4—121no—
650C3×C4—121no—
651C3×C4—121no—
652C3×C4C2×#23711yescharacteristic
653C3×C4C2×#23711yescharacteristic
654C3×C4C2×#23711yescharacteristic
655C3×C4C2×#23711yescharacteristic
656Dic3—41no—
657Dic3—41no—
658Dic3—41no—
659Dic3—41no—
660Dic3—61no—
661Dic3—61no—
662Dic3—61no—
663Dic3—61no—
664Dic3—61no—
665Dic3—61no—
666Dic3—61no—
667Dic3—61no—
668Dic3—121no—
669Dic3—121no—
670Dic3—121no—
671Dic3—121no—
672Dic3—122no—
673Dic3—122no—
674Dic3—121no—
675Dic3—121no—
676Dic3—121no—
677Dic3—121no—
678C32#312011yescharacteristic, complemented, Sylow
679C23—21no—
680C23#381111yescharacteristic
681Q8—21no—
682Q8—61no—
683Q8—61no—
684Q8—61no—
685Q8—61no—
686Q8#380512yes—
687D4—24no—
688D4—21no—
689D4#380512yes—
690C2×C4—24no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—61no—
695C2×C4—61no—
696C2×C4—61no—
697C2×C4—61no—
698C2×C4—91no—
699C2×C4—91no—
700C2×C4—91no—
701C2×C4—91no—
702C2×C4—181no—
703C2×C4—181no—
704C2×C4—721no—
705C2×C4—721no—
706C2×C4—721no—
707C2×C4#381111yescharacteristic
708C2×C4C22×D3211yescharacteristic
709C8—61no—
710C8—61no—
711C8—61no—
712C8—61no—
713C2×C3—21no—
714C2×C3—21no—
715C2×C3—21no—
716C2×C3—42no—
717C2×C3—44no—
718C2×C3—41no—
719C2×C3—42no—
720C2×C3—41no—
721C2×C3—42no—
722C2×C3#558611yescharacteristic
723C2×C3#558611yescharacteristic
724C2×C3#577011yescharacteristic
725C2×C3#577111yescharacteristic
726C2×C3#577811yescharacteristic
727C2×C3#577911yescharacteristic
728C22—21no—
729C22—21no—
730C22—21no—
731C22—22no—
732C22—41no—
733C22—41no—
734C22C2×#381111yescharacteristic
735C4—21no—
736C4—22no—
737C4—121no—
738C4—121no—
739C4—121no—
740C4—121no—
741C4—181no—
742C4—181no—
743C4—181no—
744C4—181no—
745C4—361no—
746C4—361no—
747C4C2×#380511yescharacteristic
748C4C2×#380511yescharacteristic
749C3—21no—
750C3#8021611yescharacteristic, complemented
751C3#8021711yescharacteristic, complemented
752C2—41no—
753C2—42no—
754C2#1059547211yescharacteristic
755C2#1059547311yescharacteristic
756C2#1059550111yescharacteristic
subgroupG/H
centerC22C2×#3811
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
Fitting, prime radicalC2×C32×#41C22
socleC22×C32C22×D4
hypercenterC2×#41D32
hypocenterC32#3120
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
2. #10594826C2semidirect
5. #10591633C2semidirect
6. #10591615C2semidirect
7. #10591582C2semidirect
8. #10591581C2semidirect
9. #10591497C2semidirect
10. #10591479C2semidirect
11. #10591446C2semidirect
12. #10591445C2semidirect
13. #10591126C2semidirect
14. #10591103C2semidirect
15. #10591062C2semidirect
678. C32#3120semidirect
750. C3#80216semidirect
751. C3#80217semidirect

Maximal subgroups

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

subgroupindex
#105962982
#105948262
C3×#52392
#105916332
#105916152
#105915822
#105915812
#105914972
#105914792
#105914462
#105914452
#105911262
#105911032
#105910622
#802173
#802163