Finite Group Databasebeta

← #11872990

Subgroups — #11872990

Order 1152.

825 conjugacy classes of subgroups.

The subgroup lattice has 753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5504C211yesmaximal, characteristic, complemented
2#10594814C211yesmaximal, characteristic, complemented
3#10592666C211yesmaximal, characteristic, complemented
4C3×#4970C211yesmaximal, characteristic, complemented
5#10591170C211yesmaximal, characteristic, complemented
6#10591163C211yesmaximal, characteristic
7#10591056C211yesmaximal, characteristic, complemented
8#10590557C211yesmaximal, characteristic, complemented
9#10590555C211yesmaximal, characteristic, complemented
10#10590536C211yesmaximal, characteristic, complemented
11#10590534C211yesmaximal, characteristic, complemented
12#10590478C211yesmaximal, characteristic, complemented
13#10590476C211yesmaximal, characteristic, complemented
14#10590457C211yesmaximal, characteristic, complemented
15#10590456C211yesmaximal, characteristic, complemented
16#82569—31nomaximal
17#81457—31nomaximal
18C2×C3×#235C2211yescharacteristic
19C2×C32×C4⋊C4C2211yescharacteristic
20#64139C2211yescharacteristic
21C3×C4×#67—21no—
22C3×C4×#67—21no—
23C3×#926C2211yescharacteristic
24C3×#924C2211yescharacteristic
25C3×#893C2211yescharacteristic
26C3×#893C2211yescharacteristic
27C3×#892—21no—
28C3×D3×C4⋊C4—21no—
29C3×#887C2211yescharacteristic
30C3×#887C2211yescharacteristic
31#63975—21no—
32#63953—21no—
33#63918C2211yescharacteristic
34#63895—21no—
35#63894C2211yescharacteristic
36#63864C2211yescharacteristic
37#63848—21no—
38Dic3×Dic6C2211yescharacteristic
39C2×#3718C2211yescharacteristic
40C2×#3717C2211yescharacteristic
41C2×#3715C2211yescharacteristic
42C2×#3714C2211yescharacteristic
43#63657C2211yescharacteristic
44#63636C2211yescharacteristic
45#63636C2211yescharacteristic
46#63634C2211yescharacteristic
47#63634C2211yescharacteristic
48C3×#830C2211yescharacteristic
49C3×#810C2211yescharacteristic
50C3×#810C2211yescharacteristic
51C3×#807C2211yescharacteristic
52C3×#807C2211yescharacteristic
53Dic3⋊(C3⋊C8)C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63566C2211yescharacteristic
56#63565C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#520—31no—
62#5643—31no—
63#5534—31no—
64#5504D311yescharacteristic, complemented
65C3×#484—31no—
66#5239—31no—
67#5238—31no—
68#5047—31no—
69C4×#216—31no—
70#5028—31no—
71#5026—31no—
72#5021—31no—
73#5018—31no—
74#5016—31no—
75C4×#213—31no—
76#5007—31no—
77#5000—31no—
78#4970D311yescharacteristic, complemented
79#4967—31no—
80#4967—31no—
81#4967—61no—
82#4890—31no—
83#4889—31no—
84#4875—31no—
85#4872—31no—
86#4819—31no—
87#4817—31no—
88#4798—31no—
89#4790—31no—
90#4734—31no—
91#4720—31no—
92C22×C32×C4—21no—
93C22×C32×C4C2311yescharacteristic
94C2×#638—21no—
95C2×C4⋊(C3⋊D3)C2311yescharacteristic
96C2×C3×#67—21no—
97C3×#235—22no—
98C3×#235—22no—
99C2×C3×D12C2311yescharacteristic
100C2×C3×C4×D3—21no—
101C2×C3×C4×D3—21no—
102C2×C3×C4×D3—21no—
103C2×C3×Dic6C2311yescharacteristic
104C2×C3×Dic6C2311yescharacteristic
105C2×#627—21no—
106C2×#624—21no—
107C32×C4⋊C4—21no—
108C32×C4⋊C4C2311yescharacteristic
109C32×C4⋊C4C2311yescharacteristic
110#3752—21no—
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×#217—21no—
115C3×#217D411yescharacteristic
116C3×#217D411yescharacteristic
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×C4⋊Dic3D411yescharacteristic
120C3×C4⋊Dic3D411yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×C4×Dic3—21no—
126C3×C4×Dic3—21no—
127C3×C4×Dic3C2311yescharacteristic
128C3×C4×Dic3C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133#3722—21no—
134#3722—21no—
135#3722—21no—
136Dic32—21no—
137#3718—22no—
138#3717—22no—
139#3715—22no—
140#3714—22no—
141#3124—91noSylow
142C2×C3×#41—31no—
143C2×#235C2×D311yescharacteristic
144C3×C22⋊Q8—31no—
145C3×C4×Q8—31no—
146C3×C4×Q8—31no—
147C3×C4×D4—31no—
148C3×C4×D4—31no—
149C3×C4×D4—61no—
150C3×C4×D4—61no—
151C3×#117—31no—
152C3×#117—61no—
153C2×C3×C4⋊C4—21no—
154C2×C3×C4⋊C4—61no—
155C2×C3×C4⋊C4C2×D311yescharacteristic
156C2×C3×C4⋊C4C2×D311yescharacteristic
157#947—31no—
158Q8×Dic3—31no—
159C2×#216—31no—
160C2×#216—31no—
161C2×#215—31no—
162C2×#215—31no—
163C2×#214—31no—
164C2×#213—31no—
165#930—31no—
166#930—31no—
167#930—61no—
168C4×#67—21no—
169C4×#67—21no—
170#926C2×D311yescharacteristic
171#924C2×D311yescharacteristic
172C2×D24—31no—
173C2×#204—31no—
174#898—61no—
175#898—61no—
176#897—61no—
177#896—61no—
178#893—31no—
179#893C2×D311yescharacteristic
180#893C2×D311yescharacteristic
181#892—21no—
182D3×C4⋊C4—21no—
183#888—31no—
184#887C2×D311yescharacteristic
185#887C2×D311yescharacteristic
186#885—61no—
187#885—61no—
188#883—61no—
189#883—61no—
190#875—31no—
191C4×D12—31no—
192#869—31no—
193C4×Dic6—31no—
194C3×#107—31no—
195C3×#107—31no—
196C3×#103—31no—
197C3×#103—31no—
198C3×C22⋊C8—31no—
199#835—31no—
200#835—31no—
201#832—31no—
202#832—31no—
203#830—31no—
204#830—31no—
205#830—61no—
206#830C2×D311yescharacteristic
207#821—31no—
208#816—31no—
209#815—31no—
210Dic3⋊C8—31no—
211Dic3⋊C8—31no—
212C8×Dic3—31no—
213#810—31no—
214#810C2×D311yescharacteristic
215#810C2×D311yescharacteristic
216#809—31no—
217#809—31no—
218#809—31no—
219#809—31no—
220#809—31no—
221#809—61no—
222#809—61no—
223#807—31no—
224#807—31no—
225#807—31no—
226#807—31no—
227#807—61no—
228#807—61no—
229#807C2×D311yescharacteristic
230#807C2×D311yescharacteristic
231C4⋊(C3⋊C8)—31no—
232C4⋊(C3⋊C8)—31no—
233#803—31no—
234C4×C3⋊C8—31no—
235C23×C32C2×D411yescharacteristic
236C22×C3⋊D3—21no—
237C22×C3×D3—21no—
238C2×C32×C4—21no—
239C2×C32×C4—21no—
240C2×C32×C4—21no—
241C2×C32×C4—21no—
242C2×C32×C4—81no—
243C2×C32×C4C2×D411yescharacteristic
244C2×C32×C4C2411yescharacteristic
245#638—81no—
246C2×C3⋊Dic3—21no—
247C4⋊(C3⋊D3)—21no—
248C4⋊(C3⋊D3)—21no—
249C3×#67—24no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C3×D12—21no—
258C3×D12#4112yes—
259C3×C4×D3—24no—
260C3×C4×D3—81no—
261C3×C4×D3—81no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6#4112yes—
266#627—81no—
267#624—81no—
268C3⋊(C3⋊C8)—21no—
269C3⋊(C3⋊C8)—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#542—91no—
273#520—31no—
274#484—31no—
275#480—91no—
276#477—91no—
277#474—91no—
278#464—91no—
279#463—91no—
280#452—91no—
281#449—91no—
282#440—91no—
283#440—91no—
284C4×Q16—91no—
285C4×D8—91no—
286#433—91no—
287C3×#41—62no—
288C3×#41—62no—
289C2×C3×Q8—31no—
290C2×C3×Q8—31no—
291C2×C3×D4—31no—
292C2×C3×D4—61no—
293C22×C3×C4—21no—
294C22×C3×C4—21no—
295C22×C3×C4—21no—
296C22×C3×C4—41no—
297C22×C3×C4—61no—
298C22×C3×C4—61no—
299C22×C3×C4—61no—
300C22×C3×C4C22×D311yescharacteristic
301C22×C3×C4C22×D311yescharacteristic
302C2×#67—21no—
303C2×#67—61no—
304C2×#67—61no—
305C2×#67—121no—
306#235—22no—
307#235—22no—
308C2×D12—31no—
309C2×D12—31no—
310C2×D12—61no—
311C2×D12C22×D311yescharacteristic
312C2×C4×D3—21no—
313C2×C4×D3—21no—
314C2×C4×D3—21no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×Dic6—61no—
318C2×Dic6—61no—
319C2×Dic6C22×D311yescharacteristic
320C2×Dic6C22×D311yescharacteristic
321C2×C3×C8—31no—
322C2×C3×C8—31no—
323C3×C4⋊C4—21no—
324C3×C4⋊C4—21no—
325C3×C4⋊C4—21no—
326C3×C4⋊C4—21no—
327C3×C4⋊C4—31no—
328C3×C4⋊C4—31no—
329C3×C4⋊C4—31no—
330C3×C4⋊C4—41no—
331C3×C4⋊C4—61no—
332C3×C4⋊C4—61no—
333C3×C4⋊C4—61no—
334C3×C4⋊C4C22×D311yescharacteristic
335C3×C4⋊C4C22×D311yescharacteristic
336C3×C4⋊C4C22×D311yescharacteristic
337C3×C4⋊C4C22×D311yescharacteristic
338C3×C22⋊C4—31no—
339C3×C22⋊C4—31no—
340C3×C22⋊C4—61no—
341C3×C22⋊C4—61no—
342C3×C22⋊C4—61no—
343C3×C42—31no—
344C3×C42—31no—
345C3×C42—61no—
346C3×C42—61no—
347#217—21no—
348#217#6711yescharacteristic
349#217#6711yescharacteristic
350#216—62no—
351#216—62no—
352#215—62no—
353#215—62no—
354#214—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—
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—31no—
368C4⋊Dic3—31no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3#6711yescharacteristic
373C4⋊Dic3#6711yescharacteristic
374C4⋊Dic3C22×D311yescharacteristic
375Dic3⋊C4—21no—
376Dic3⋊C4—21no—
377Dic3⋊C4—21no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380C4×Dic3—21no—
381C4×Dic3—21no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3C22×D311yescharacteristic
385C4×Dic3C22×D311yescharacteristic
386C2×C3⋊C8—31no—
387C2×C3⋊C8—31no—
388C2×C3⋊C8—31no—
389C2×C3⋊C8—31no—
390C2×C3⋊C8—61no—
391C2×C3⋊C8—61no—
392C2×C3⋊C8C22×D311yescharacteristic
393C2×C3⋊C8C22×D311yescharacteristic
394D24—62no—
395#204—62no—
396C22×C32—21no—
397C22×C32—21no—
398C22×C32—21no—
399C22×C32C22×D411yescharacteristic
400C2×C3⋊D3—41no—
401C2×C3⋊D3—41no—
402C2×C3⋊D3—41no—
403C2×C3×D3—22no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C32×C4—21no—
407C32×C4—41no—
408C32×C4—41no—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
411C3⋊Dic3—41no—
412C3×Dic3—22no—
413C3×Dic3—21no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—41no—
418C3×Dic3—41no—
419C2×#41—31no—
420C2×Q16—91no—
421C2×SD16—91no—
422C2×SD16—91no—
423C2×D8—91no—
424C4⋊Q8—91no—
425#126—181no—
426#124—91no—
427#124—181no—
428#123—181no—
429C22⋊Q8—31no—
430C22⋊Q8—181no—
431#121—91no—
432C4×Q8—31no—
433C4×Q8—31no—
434C4×Q8—91no—
435C4×D4—31no—
436C4×D4—31no—
437C4×D4—61no—
438C4×D4—61no—
439C4×D4—91no—
440#117—31no—
441#117—61no—
442C2×C4⋊C4—61no—
443C2×C4⋊C4D3211yescharacteristic
444#107—31no—
445#107—31no—
446#107—91no—
447#107—91no—
448C4⋊C8—91no—
449C4⋊C8—91no—
450#103—31no—
451#103—31no—
452#103—91no—
453#103—91no—
454#102—91no—
455#102—91no—
456#102—91no—
457#102—91no—
458C22⋊C8—31no—
459C22⋊C8—91no—
460#97—91no—
461C4×C8—91no—
462C23×C3—21no—
463C23×C3—61no—
464C23×C3D3×D411yescharacteristic
465C23×C3C2×#6711yescharacteristic
466C22×D3—21no—
467C22×D3—61no—
468C22×D3—61no—
469C22×D3—121no—
470C3×Q8—32no—
471C3×Q8—61no—
472C3×Q8—61no—
473C3×Q8—61no—
474C3×D4—32no—
475C3×D4—64no—
476C3×D4—61no—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—31no—
488C2×C3×C4—31no—
489C2×C3×C4—31no—
490C2×C3×C4—31no—
491C2×C3×C4—41no—
492C2×C3×C4—41no—
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—81no—
500C2×C3×C4—81no—
501C2×C3×C4—82no—
502C2×C3×C4—241no—
503C2×C3×C4—241no—
504C2×C3×C4D3×D411yescharacteristic
505C2×C3×C4C2×#6711yescharacteristic
506C2×C3×C4C23×D311yescharacteristic
507C2×C3×C4C23×D311yescharacteristic
508#67—24no—
509#67—241no—
510#67—241no—
511#67—242no—
512C2×Dic3—21no—
513C2×Dic3—21no—
514C2×Dic3—21no—
515C2×Dic3—61no—
516C2×Dic3—61no—
517C2×Dic3—121no—
518C2×Dic3C2×#6711yescharacteristic
519C2×Dic3C2×#6711yescharacteristic
520C2×Dic3C2×#6711yescharacteristic
521C2×Dic3C2×#6711yescharacteristic
522D12—21no—
523D12—61no—
524D12—61no—
525D12—61no—
526D12—61no—
527D12—121no—
528D12—121no—
529D12#23512yes—
530C4×D3—24no—
531C4×D3—81no—
532C4×D3—81no—
533C4×D3—241no—
534C4×D3—241no—
535Dic6—21no—
536Dic6—21no—
537Dic6—21no—
538Dic6—241no—
539Dic6—241no—
540Dic6#23512yes—
541C3×C8—61no—
542C3×C8—61no—
543C3⋊C8—21no—
544C3⋊C8—21no—
545C3⋊C8—61no—
546C3⋊C8—61no—
547C3⋊C8—61no—
548C3⋊C8—61no—
549C3⋊C8—121no—
550C3⋊C8—121no—
551C2×C32—41no—
552C2×C32#52511yescharacteristic
553C2×C32#57611yescharacteristic
554C2×C32#57811yescharacteristic
555C3⋊D3—81no—
556C3×D3—42no—
557#41—62no—
558#41—62no—
559C2×Q8—31no—
560C2×Q8—31no—
561C2×Q8—181no—
562C2×D4—31no—
563C2×D4—61no—
564C2×D4—91no—
565C2×D4—181no—
566C22×C4—21no—
567C22×C4—61no—
568C22×C4—61no—
569C22×C4—61no—
570C22×C4—181no—
571C22×C4C2×D3211yescharacteristic
572Q16—182no—
573SD16—182no—
574SD16—182no—
575D8—182no—
576C2×C8—31no—
577C2×C8—31no—
578C2×C8—91no—
579C2×C8—91no—
580C4⋊C4—21no—
581C4⋊C4—31no—
582C4⋊C4—31no—
583C4⋊C4—31no—
584C4⋊C4—61no—
585C4⋊C4—61no—
586C4⋊C4—61no—
587C4⋊C4—91no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C4⋊C4C2×D3211yescharacteristic
591C4⋊C4C2×D3211yescharacteristic
592C22⋊C4—31no—
593C22⋊C4—31no—
594C22⋊C4—61no—
595C22⋊C4—61no—
596C22⋊C4—61no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C22⋊C4—181no—
600C22⋊C4—181no—
601C42—31no—
602C42—31no—
603C42—61no—
604C42—61no—
605C42—181no—
606C22×C3—22no—
607C22×C3—21no—
608C22×C3—21no—
609C22×C3—21no—
610C22×C3—21no—
611C22×C3—21no—
612C22×C3—21no—
613C22×C3—21no—
614C22×C3—41no—
615C22×C3—41no—
616C22×C3—62no—
617C22×C3—121no—
618C22×C3—121no—
619C22×C3C2×D3×D411yescharacteristic
620C22×C3C22×#6711yescharacteristic
621C2×D3—22no—
622C2×D3—41no—
623C2×D3—41no—
624C2×D3—121no—
625C2×D3—121no—
626C2×D3—121no—
627C2×D3—121no—
628C2×D3—121no—
629C2×D3—121no—
630C2×D3—241no—
631C2×D3—241no—
632C2×D3—241no—
633C3×C4—21no—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—41no—
638C3×C4—41no—
639C3×C4—41no—
640C3×C4—41no—
641C3×C4—41no—
642C3×C4—62no—
643C3×C4—61no—
644C3×C4—61no—
645C3×C4—61no—
646C3×C4—61no—
647C3×C4—81no—
648C3×C4—81no—
649C3×C4—121no—
650C3×C4—121no—
651C3×C4C2×#23511yescharacteristic
652C3×C4C2×#23511yescharacteristic
653C3×C4D3×#4111yescharacteristic
654C3×C4D3×#4111yescharacteristic
655Dic3—22no—
656Dic3—21no—
657Dic3—21no—
658Dic3—21no—
659Dic3—21no—
660Dic3—41no—
661Dic3—41no—
662Dic3—121no—
663Dic3—121no—
664Dic3—241no—
665C32#312411yescharacteristic, complemented, Sylow
666C23—61no—
667C23—181no—
668C23D3×#6711yescharacteristic
669Q8—32no—
670Q8—61no—
671Q8—61no—
672Q8—61no—
673Q8—721no—
674D4—32no—
675D4—64no—
676D4—61no—
677D4—181no—
678D4—181no—
679D4—721no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—31no—
685C2×C4—31no—
686C2×C4—31no—
687C2×C4—31no—
688C2×C4—64no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—81no—
693C2×C4—181no—
694C2×C4—241no—
695C2×C4—241no—
696C2×C4—721no—
697C2×C4D3×#6711yescharacteristic
698C2×C4C22×D3211yescharacteristic
699C8—61no—
700C8—61no—
701C8—181no—
702C8—181no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—21no—
706C2×C3—42no—
707C2×C3—41no—
708C2×C3—41no—
709C2×C3—122no—
710C2×C3#565611yescharacteristic
711C2×C3#576611yescharacteristic
712C2×C3#577411yescharacteristic
713C2×C3#579111yescharacteristic
714C2×C3#583511yescharacteristic
715C2×C3#583811yescharacteristic
716D3—42no—
717D3—241no—
718D3—241no—
719D3—481no—
720C22—21no—
721C22—21no—
722C22—21no—
723C22—62no—
724C22—121no—
725C22—121no—
726C22—361no—
727C22—361no—
728C22—361no—
729C22C2×D3×#6711yescharacteristic
730C4—21no—
731C4—41no—
732C4—41no—
733C4—61no—
734C4—61no—
735C4—62no—
736C4—61no—
737C4—61no—
738C4—121no—
739C4—121no—
740C4—361no—
741C4D3×#23511yescharacteristic
742C4D3×#23511yescharacteristic
743C3—21no—
744C3#8145711yescharacteristic, complemented
745C3#8256911yescharacteristic, complemented
746C2—41no—
747C2—122no—
748C2—721no—
749C2#1059489611yescharacteristic
750C2#1059509711yescharacteristic
751C2#1059532711yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC2×C32×C4⋊C4C22
socleC22×C32C22×D4
prime radical#10591163C2
hypercenterC2×C4⋊C4D32
hypocenterC32#3124
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C3×#5504C2semidirect
2. #10594814C2semidirect
3. #10592666C2semidirect
4. C3×#4970C2semidirect
5. #10591170C2semidirect
7. #10591056C2semidirect
8. #10590557C2semidirect
9. #10590555C2semidirect
10. #10590536C2semidirect
11. #10590534C2semidirect
12. #10590478C2semidirect
13. #10590476C2semidirect
14. #10590457C2semidirect
15. #10590456C2semidirect
64. #5504D3semidirect
78. #4970D3semidirect
665. C32#3124semidirect
744. C3#81457semidirect
745. C3#82569semidirect

Maximal subgroups

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

subgroupindex
C3×#55042
#105948142
#105926662
C3×#49702
#105911702
#105911632
#105910562
#105905572
#105905552
#105905362
#105905342
#105904782
#105904762
#105904572
#105904562
#825693
#814573