Finite Group Databasebeta

← #10701975

Subgroups — #10701975

Order 768.

1406 conjugacy classes of subgroups.

The subgroup lattice has 798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#908C211yesmaximal, characteristic
2C2×#5133C211yesmaximal, characteristic, complemented
3C22×#823C211yesmaximal, characteristic, complemented
4C22×#821C211yesmaximal, characteristic, complemented
5C2×#5110C211yesmaximal, characteristic, complemented
6C2×C3×#341C211yesmaximal, characteristic, complemented
7C2×#4554C211yesmaximal, characteristic, complemented
8#11020—31nomaximal, Sylow
9C22×#235C2211yescharacteristic
10C23×D12C2211yescharacteristic
11C22×C3×M16C2211yescharacteristic
12C22×C3×M16C2211yescharacteristic
13C23×C3×C8C2211yescharacteristic
14C22×C4⋊Dic3C2211yescharacteristic
15C22×#208C2211yescharacteristic
16C2×#908—22no—
17C2×#908—22no—
18C2×#908—22no—
19C2×#908—22no—
20C2×#908—22no—
21C2×#908C414yescomplemented
22C22×D24—21no—
23C22×#204—21no—
24#5133—22no—
25#5133—22no—
26C2×#823—22no—
27C2×#823—22no—
28C2×#823—22no—
29C2×#821—22no—
30C2×#821—21no—
31C2×#821—22no—
32C2×#821—22no—
33#5110—22no—
34#5110—22no—
35C2×(C2×D3)⋊C8—22no—
36C2×#816—21no—
37C3×#341—22no—
38#4554—22no—
39C22×AGL(1,ℤ/8)—31no—
40C2×#417—31no—
41C22×#102—31no—
42C22×#100—31no—
43C2×#408—31no—
44C2×#343—31no—
45C2×#341D311yescharacteristic, complemented
46C24×D3—21no—
47C23×C3×C4C2311yescharacteristic
48C22×#67—21no—
49C23×Dic3—21no—
50C2×#235—21no—
51C2×#235—21no—
52C2×#235—21no—
53C2×#235—21no—
54C2×#235—21no—
55C2×#235—21no—
56C2×#235—21no—
57C2×#235—21no—
58C2×#235—21no—
59C2×#235—21no—
60C2×#235C2×C412yes—
61C2×#235D412yes—
62C22×D12—21no—
63C22×D12—21no—
64C22×D12—21no—
65C22×D12—21no—
66C22×D12—21no—
67C22×D12—21no—
68C22×D12—21no—
69C22×D12—21no—
70C22×D12—21no—
71C22×D12—21no—
72C22×D12—21no—
73C22×D12C2×C412yes—
74C22×D12D412yes—
75C22×D12D412yes—
76C22×D12D411yescharacteristic
77C22×C4×D3—21no—
78C22×Dic6D411yescharacteristic
79C2×C3×M16—21no—
80C2×C3×M16—21no—
81C2×C3×M16—21no—
82C2×C3×M16—21no—
83C2×C3×M16—21no—
84C2×C3×M16—21no—
85C2×C3×M16—21no—
86C2×C3×M16—21no—
87C2×C3×M16C2×C412yes—
88C2×C3×M16D412yes—
89C2×C3×M16D412yes—
90C2×C3×M16D412yes—
91C22×C3×C8—21no—
92C22×C3×C8—21no—
93C22×C3×C8—21no—
94C22×C3×C8—21no—
95C22×C3×C8—21no—
96C22×C3×C8—21no—
97C22×C3×C8—21no—
98C22×C3×C8—21no—
99C22×C3×C8D412yes—
100C2×C4⋊Dic3—21no—
101C2×C4⋊Dic3—21no—
102C2×C4⋊Dic3—21no—
103C2×C4⋊Dic3—21no—
104C2×C4⋊Dic3—21no—
105C2×C4⋊Dic3D412yes—
106C2×#208—21no—
107C2×#208—21no—
108C2×#208—21no—
109C2×#208—21no—
110C2×#208—21no—
111C2×#208D412yes—
112C22×C3⋊C8—21no—
113#908—28no—
114#908—28no—
115#908—28no—
116#908—28no—
117C2×D24—24no—
118C2×D24—24no—
119C2×D24—24no—
120C2×#204—24no—
121C2×#204—24no—
122C2×#204—24no—
123#823—28no—
124#821—24no—
125#821—28no—
126(C2×D3)⋊C8—28no—
127#816—24no—
128C22×#41—31no—
129C23×D4—31no—
130C2×AGL(1,ℤ/8)—34no—
131C2×AGL(1,ℤ/8)—62no—
132C2×AGL(1,ℤ/8)—62no—
133C2×AGL(1,ℤ/8)—62no—
134C2×AGL(1,ℤ/8)—62no—
135C2×AGL(1,ℤ/8)—62no—
136C22×SD16—61no—
137C22×D8—61no—
138C22×M16—31no—
139C22×M16C2×D311yescharacteristic
140C22×M16C2×D311yescharacteristic
141C23×C8C2×D311yescharacteristic
142C22×C4⋊C4—31no—
143#417—62no—
144#417—62no—
145C2×#103—61no—
146C2×#102—62no—
147C2×#102—62no—
148C2×#102—61no—
149C2×#102—62no—
150C2×#100—62no—
151C2×#100—62no—
152C2×#100—62no—
153#408—62no—
154#408—62no—
155C2×C22⋊C8—62no—
156#343—62no—
157#341—22no—
158C24×C3#4111yescharacteristic
159C23×D3—21no—
160C23×D3—22no—
161C23×D3—22no—
162C23×D3—22no—
163C23×D3—41no—
164C23×D3—41no—
165C23×D3—41no—
166C23×D3—41no—
167C23×D3—82no—
168C23×D3—82no—
169C22×C3×C4C22×C411yescharacteristic
170C22×C3×C4C2×D411yescharacteristic
171C22×C3×C4C2×D411yescharacteristic
172C22×C3×C4C2×D411yescharacteristic
173C22×C3×C4C2×D411yescharacteristic
174C22×C3×C4C2×D411yescharacteristic
175C22×C3×C4C2×D411yescharacteristic
176C22×C3×C4C2×D411yescharacteristic
177C22×C3×C4C2×D411yescharacteristic
178C22×C3×C4C2×D411yescharacteristic
179C22×C3×C4C2×D411yescharacteristic
180C22×C3×C4#4111yescharacteristic
181C22×C3×C4#4111yescharacteristic
182C22×C3×C4#4111yescharacteristic
183C2×#67—22no—
184C2×#67—22no—
185C2×#67—41no—
186C2×#67—41no—
187C2×#67—41no—
188C2×#67—41no—
189C22×Dic3—21no—
190C22×Dic3—22no—
191C22×Dic3—41no—
192C22×Dic3—41no—
193C22×Dic3—82no—
194#235—22no—
195#235—22no—
196#235—22no—
197#235—22no—
198#235—22no—
199#235—22no—
200#235—22no—
201#235—22no—
202#235—41no—
203#235—41no—
204#235—41no—
205#235—41no—
206#235—41no—
207#235—41no—
208#235—41no—
209#235—41no—
210C2×D12—22no—
211C2×D12—22no—
212C2×D12—22no—
213C2×D12—22no—
214C2×D12—22no—
215C2×D12—21no—
216C2×D12—22no—
217C2×D12—22no—
218C2×D12—21no—
219C2×D12—21no—
220C2×D12—22no—
221C2×D12—22no—
222C2×D12—22no—
223C2×D12—22no—
224C2×D12—22no—
225C2×D12—21no—
226C2×D12—22no—
227C2×D12—22no—
228C2×D12—22no—
229C2×D12—21no—
230C2×D12—41no—
231C2×D12—41no—
232C2×D12—41no—
233C2×D12—41no—
234C2×D12—41no—
235C2×D12—41no—
236C2×D12—41no—
237C2×D12—41no—
238C2×D12—41no—
239C2×D12—41no—
240C2×D12—41no—
241C2×D12—41no—
242C2×D12C22⋊C412yes—
243C2×D12C22⋊C414yes—
244C2×C4×D3—22no—
245C2×C4×D3—22no—
246C2×C4×D3—41no—
247C2×C4×D3—41no—
248C2×C4×D3—41no—
249C2×C4×D3—41no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6—21no—
253C2×Dic6—21no—
254C2×Dic6—21no—
255C2×Dic6C22⋊C412yes—
256C3×M16—22no—
257C3×M16—22no—
258C3×M16—22no—
259C3×M16—22no—
260C3×M16—22no—
261C3×M16—41no—
262C3×M16—41no—
263C3×M16C22⋊C414yes—
264C2×C3×C8—22no—
265C2×C3×C8—22no—
266C2×C3×C8—22no—
267C2×C3×C8—22no—
268C2×C3×C8—22no—
269C2×C3×C8—22no—
270C2×C3×C8—22no—
271C2×C3×C8—41no—
272C2×C3×C8—41no—
273C2×C3×C8—41no—
274C2×C3×C8—41no—
275C2×C3×C8—41no—
276C2×C3×C8—41no—
277C4⋊Dic3—22no—
278C4⋊Dic3—22no—
279C4⋊Dic3—41no—
280C4⋊Dic3—41no—
281#208—22no—
282#208—22no—
283#208—41no—
284#208—41no—
285C2×C3⋊C8—22no—
286C2×C3⋊C8—41no—
287C2×C3⋊C8—41no—
288D24—216no—
289#204—216no—
290C25—61no—
291C2×#41—32no—
292C2×#41—32no—
293C2×#41—61no—
294C2×#41—61no—
295C2×#41—61no—
296C2×#41—61no—
297C2×#41—61no—
298C2×#41—61no—
299C2×#41—61no—
300C2×#41—61no—
301C2×#41—61no—
302C2×#41—61no—
303C22×Q8—31no—
304C22×D4—32no—
305C22×D4—31no—
306C22×D4—32no—
307C22×D4—32no—
308C22×D4—61no—
309C22×D4—61no—
310C22×D4—61no—
311C22×D4—61no—
312C22×D4—61no—
313C22×D4—61no—
314C22×D4—61no—
315C22×D4—61no—
316C22×D4—61no—
317C22×D4—61no—
318C22×D4—61no—
319C22×D4—61no—
320C23×C4—61no—
321C23×C4—61no—
322C23×C4C22×D311yescharacteristic
323AGL(1,ℤ/8)—68no—
324AGL(1,ℤ/8)—68no—
325AGL(1,ℤ/8)—68no—
326AGL(1,ℤ/8)—68no—
327C2×SD16—64no—
328C2×SD16—64no—
329C2×SD16—64no—
330C2×D8—64no—
331C2×D8—64no—
332C2×D8—64no—
333C2×M16—21no—
334C2×M16—21no—
335C2×M16—21no—
336C2×M16—21no—
337C2×M16—21no—
338C2×M16—21no—
339C2×M16—21no—
340C2×M16—21no—
341C2×M16—32no—
342C2×M16—61no—
343C2×M16—61no—
344C2×M16—61no—
345C2×M16—61no—
346C2×M16—61no—
347C2×M16C4×D312yes—
348C2×M16D1212yes—
349C2×M16D1212yes—
350C2×M16#6712yes—
351C22×C8—21no—
352C22×C8—21no—
353C22×C8—21no—
354C22×C8—21no—
355C22×C8—21no—
356C22×C8—21no—
357C22×C8—21no—
358C22×C8—21no—
359C22×C8—61no—
360C22×C8D1212yes—
361C2×C4⋊C4—32no—
362C2×C4⋊C4—61no—
363C2×C4⋊C4—61no—
364C2×C4⋊C4—61no—
365C2×C4⋊C4—61no—
366C2×C4⋊C4—61no—
367#103—64no—
368#102—68no—
369#102—64no—
370#100—68no—
371C22⋊C8—68no—
372C23×C3—22no—
373C23×C3—22no—
374C23×C3C4×D411yescharacteristic
375C23×C3#12111yescharacteristic
376C23×C3#12111yescharacteristic
377C23×C3#12111yescharacteristic
378C23×C3#12311yescharacteristic
379C23×C3#12311yescharacteristic
380C23×C3#12411yescharacteristic
381C22×D3—22no—
382C22×D3—24no—
383C22×D3—42no—
384C22×D3—42no—
385C22×D3—41no—
386C22×D3—42no—
387C22×D3—41no—
388C22×D3—42no—
389C22×D3—42no—
390C22×D3—42no—
391C22×D3—42no—
392C22×D3—42no—
393C22×D3—84no—
394C22×D3—84no—
395C22×D3—82no—
396C22×D3—82no—
397C22×D3—82no—
398C22×D3—82no—
399C22×D3—84no—
400C22×D3—84no—
401C22×D3—82no—
402C22×D3—82no—
403C2×C3×C4C2×C22⋊C411yescharacteristic
404C2×C3×C4C2×C22⋊C411yescharacteristic
405C2×C3×C4C2×C22⋊C411yescharacteristic
406C2×C3×C4C4×D411yescharacteristic
407C2×C3×C4C4×D411yescharacteristic
408C2×C3×C4C4×D411yescharacteristic
409C2×C3×C4#12011yescharacteristic
410C2×C3×C4#12011yescharacteristic
411C2×C3×C4#12011yescharacteristic
412C2×C3×C4#12011yescharacteristic
413C2×C3×C4#12011yescharacteristic
414C2×C3×C4#12011yescharacteristic
415C2×C3×C4#12011yescharacteristic
416C2×C3×C4#12011yescharacteristic
417C2×C3×C4#12111yescharacteristic
418C2×C3×C4#12111yescharacteristic
419C2×C3×C4#12111yescharacteristic
420C2×C3×C4#12111yescharacteristic
421C2×C3×C4#12111yescharacteristic
422C2×C3×C4#12111yescharacteristic
423C2×C3×C4#12111yescharacteristic
424C2×C3×C4#12111yescharacteristic
425C2×C3×C4#12111yescharacteristic
426C2×C3×C4#12311yescharacteristic
427C2×C3×C4#12311yescharacteristic
428C2×C3×C4#12411yescharacteristic
429C2×C3×C4#12711yescharacteristic
430C2×C3×C4#12711yescharacteristic
431#67—42no—
432#67—42no—
433#67—42no—
434#67—42no—
435C2×Dic3—22no—
436C2×Dic3—41no—
437C2×Dic3—41no—
438C2×Dic3—42no—
439C2×Dic3—82no—
440C2×Dic3—82no—
441C2×Dic3—82no—
442D12—24no—
443D12—22no—
444D12—24no—
445D12—22no—
446D12—42no—
447D12—42no—
448D12—42no—
449D12—42no—
450D12—42no—
451D12—41no—
452D12—42no—
453D12—41no—
454C4×D3—42no—
455C4×D3—42no—
456C4×D3—42no—
457C4×D3—42no—
458Dic6—22no—
459Dic6—22no—
460Dic6—41no—
461Dic6—41no—
462C3×C8—24no—
463C3×C8—42no—
464C3×C8—42no—
465C3⋊C8—42no—
466C24—61no—
467C24—62no—
468C24—62no—
469C24—62no—
470C24—121no—
471C24—121no—
472C24—121no—
473C24—121no—
474C24—242no—
475C24—242no—
476C24#23911yescharacteristic
477#41—62no—
478#41—62no—
479#41—62no—
480#41—62no—
481#41—62no—
482#41—62no—
483#41—62no—
484#41—62no—
485#41—121no—
486#41—121no—
487#41—121no—
488#41—121no—
489#41—121no—
490#41—121no—
491#41—121no—
492#41—121no—
493C2×Q8—32no—
494C2×Q8—61no—
495C2×Q8—61no—
496C2×Q8—61no—
497C2×Q8—61no—
498C2×Q8—61no—
499C2×D4—32no—
500C2×D4—34no—
501C2×D4—62no—
502C2×D4—62no—
503C2×D4—62no—
504C2×D4—62no—
505C2×D4—62no—
506C2×D4—62no—
507C2×D4—61no—
508C2×D4—61no—
509C2×D4—62no—
510C2×D4—62no—
511C2×D4—62no—
512C2×D4—62no—
513C2×D4—62no—
514C2×D4—61no—
515C2×D4—62no—
516C2×D4—62no—
517C2×D4—61no—
518C2×D4—62no—
519C2×D4—62no—
520C2×D4—61no—
521C2×D4—62no—
522C2×D4—62no—
523C2×D4—121no—
524C2×D4—121no—
525C2×D4—121no—
526C2×D4—121no—
527C2×D4—121no—
528C2×D4—121no—
529C2×D4—121no—
530C2×D4—121no—
531C2×D4—121no—
532C2×D4—121no—
533C2×D4—121no—
534C2×D4—121no—
535C2×D4—121no—
536C2×D4—121no—
537C2×D4—121no—
538C2×D4—121no—
539C22×C4—61no—
540C22×C4—62no—
541C22×C4—62no—
542C22×C4—62no—
543C22×C4—121no—
544C22×C4—121no—
545C22×C4—121no—
546C22×C4—121no—
547C22×C4—121no—
548C22×C4—121no—
549C22×C4—242no—
550C22×C4C2×C4×D311yescharacteristic
551C22×C4C2×D1211yescharacteristic
552C22×C4C2×D1211yescharacteristic
553C22×C4C2×D1211yescharacteristic
554C22×C4#23511yescharacteristic
555C22×C4#23511yescharacteristic
556C22×C4D3×D411yescharacteristic
557C22×C4D3×D411yescharacteristic
558C22×C4D3×D411yescharacteristic
559C22×C4D3×D411yescharacteristic
560C22×C4D3×D411yescharacteristic
561C22×C4D3×D411yescharacteristic
562C22×C4#23911yescharacteristic
563C22×C4C2×#6711yescharacteristic
564SD16—616no—
565D8—616no—
566M16—22no—
567M16—22no—
568M16—22no—
569M16—22no—
570M16—22no—
571M16—41no—
572M16—41no—
573M16—62no—
574M16—62no—
575M16—121no—
576M16—121no—
577M16(C2×D3)⋊C414yes—
578C2×C8—22no—
579C2×C8—22no—
580C2×C8—22no—
581C2×C8—22no—
582C2×C8—22no—
583C2×C8—22no—
584C2×C8—22no—
585C2×C8—41no—
586C2×C8—41no—
587C2×C8—41no—
588C2×C8—41no—
589C2×C8—41no—
590C2×C8—41no—
591C2×C8—62no—
592C2×C8—121no—
593C2×C8—121no—
594C4⋊C4—62no—
595C4⋊C4—62no—
596C4⋊C4—121no—
597C4⋊C4—121no—
598C22×C3—22no—
599C22×C3—22no—
600C22×C3—22no—
601C22×C3—22no—
602C22×C3—21no—
603C22×C3—21no—
604C22×C3—21no—
605C22×C3—21no—
606C22×C3#38611yescharacteristic
607C22×C3#38611yescharacteristic
608C22×C3#39011yescharacteristic
609C22×C3#39211yescharacteristic
610C22×C3#39411yescharacteristic
611C22×C3#39411yescharacteristic
612C22×C3#39411yescharacteristic
613C22×C3#47112yes—
614C22×C3#47212yes—
615C2×D3—44no—
616C2×D3—42no—
617C2×D3—44no—
618C2×D3—84no—
619C2×D3—84no—
620C2×D3—84no—
621C2×D3—82no—
622C2×D3—84no—
623C2×D3—84no—
624C2×D3—81no—
625C2×D3—82no—
626C2×D3—81no—
627C2×D3—82no—
628C2×D3—84no—
629C3×C4#37911yescharacteristic
630C3×C4#38611yescharacteristic
631C3×C4#38611yescharacteristic
632C3×C4#39011yescharacteristic
633C3×C4#39211yescharacteristic
634C3×C4#39211yescharacteristic
635C3×C4#39211yescharacteristic
636C3×C4#39411yescharacteristic
637Dic3—42no—
638Dic3—82no—
639C23—22no—
640C23—22no—
641C23—62no—
642C23—64no—
643C23—122no—
644C23—122no—
645C23—122no—
646C23—121no—
647C23—122no—
648C23—122no—
649C23—122no—
650C23—121no—
651C23—122no—
652C23—122no—
653C23—244no—
654C23—242no—
655C23—242no—
656C23—244no—
657C23—244no—
658C23—242no—
659C23—242no—
660C23—244no—
661C23—242no—
662C23—242no—
663C23#89311yescharacteristic
664C23#89411yescharacteristic
665C23#89411yescharacteristic
666C23#89511yescharacteristic
667C23#89511yescharacteristic
668C23#89511yescharacteristic
669C23#94711yescharacteristic
670Q8—62no—
671Q8—62no—
672Q8—121no—
673Q8—121no—
674D4—64no—
675D4—62no—
676D4—62no—
677D4—64no—
678D4—122no—
679D4—122no—
680D4—122no—
681D4—122no—
682D4—122no—
683D4—122no—
684D4—122no—
685D4—121no—
686D4—122no—
687D4—122no—
688D4—122no—
689D4—121no—
690C2×C4—62no—
691C2×C4—121no—
692C2×C4—121no—
693C2×C4—122no—
694C2×C4—122no—
695C2×C4—122no—
696C2×C4—122no—
697C2×C4—122no—
698C2×C4—242no—
699C2×C4—242no—
700C2×C4—242no—
701C2×C4C4×D1211yescharacteristic
702C2×C4C4×D1211yescharacteristic
703C2×C4#87411yescharacteristic
704C2×C4#87511yescharacteristic
705C2×C4D3×C22⋊C411yescharacteristic
706C2×C4D3×C22⋊C411yescharacteristic
707C2×C4#88211yescharacteristic
708C2×C4#88211yescharacteristic
709C2×C4#88211yescharacteristic
710C2×C4#88211yescharacteristic
711C2×C4#88211yescharacteristic
712C2×C4#88211yescharacteristic
713C2×C4#88411yescharacteristic
714C2×C4#88411yescharacteristic
715C2×C4#88411yescharacteristic
716C2×C4#88411yescharacteristic
717C2×C4#89311yescharacteristic
718C2×C4#89411yescharacteristic
719C2×C4#89411yescharacteristic
720C2×C4#89511yescharacteristic
721C2×C4#89511yescharacteristic
722C2×C4#89511yescharacteristic
723C2×C4C2×(C2×D3)⋊C411yescharacteristic
724C2×C4#93011yescharacteristic
725C2×C4#93011yescharacteristic
726C2×C4#93711yescharacteristic
727C2×C4#93711yescharacteristic
728C2×C4#94011yescharacteristic
729C8—24no—
730C8—42no—
731C8—42no—
732C8—122no—
733C2×C3—21no—
734C2×C3—21no—
735C2×C3—21no—
736C2×C3—21no—
737C2×C3#143811yescharacteristic
738C2×C3#190712yes—
739C2×C3#201811yescharacteristic
740C2×C3#201911yescharacteristic
741C2×C3#205112yes—
742D3—82no—
743D3—84no—
744C22—22no—
745C22—22no—
746C22—21no—
747C22—21no—
748C22—21no—
749C22—21no—
750C22—22no—
751C22—22no—
752C22—122no—
753C22—124no—
754C22—124no—
755C22—244no—
756C22—244no—
757C22—244no—
758C22—244no—
759C22—242no—
760C22—244no—
761C22—241no—
762C22—242no—
763C22—241no—
764C22—242no—
765C22—244no—
766C22#466511yescharacteristic
767C22#466511yescharacteristic
768C22#467111yescharacteristic
769C22#467211yescharacteristic
770C22#489712yes—
771C22#489812yes—
772C22#498811yescharacteristic
773C22#499111yescharacteristic
774C22#499111yescharacteristic
775C4—122no—
776C4—242no—
777C4#466511yescharacteristic
778C4#466511yescharacteristic
779C4#467111yescharacteristic
780C4#467211yescharacteristic
781C4#493911yescharacteristic
782C4#495511yescharacteristic
783C4#496011yescharacteristic
784C4#496011yescharacteristic
785C3#1102011yescharacteristic, complemented, Sylow
786C2—21no—
787C2—21no—
788C2—21no—
789C2—21no—
790C2—242no—
791C2—244no—
792C2#6894211yescharacteristic
793C2#6894311yescharacteristic
794C2#6894812yes—
795C2#6942611yescharacteristic
796C2#7071412yes—
subgroupG/H
centerC23#895
commutatorC22×C3×C4C22×C4
FrattiniC23×C4C22×D3
FittingC2×C3×#341C2
socleC23×C3#121
prime radicalC22×#908C2
cosocleC23×C3×C4C23
hypercenterC2×#341D3
hypocenterC3#11020
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#341

Complements

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

NH ≅ G/Ntype
2. C2×#5133C2semidirect
3. C22×#823C2semidirect
4. C22×#821C2semidirect
5. C2×#5110C2semidirect
6. C2×C3×#341C2semidirect
7. C2×#4554C2semidirect
21. C2×#908C4semidirect
45. C2×#341D3semidirect
785. C3#11020semidirect

Maximal subgroups

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

subgroupindex
C22×#9082
C2×#51332
C22×#8232
C22×#8212
C2×#51102
C2×C3×#3412
C2×#45542
#110203