Finite Group Databasebeta

← C2×#13164558 #72252726

Subgroups — C2×#13164558 #72252726

Order 3456.

1629 conjugacy classes of subgroups; only the 50 normal subgroups are shown.

normal subgroups only

This group has 1629 conjugacy classes of subgroups — too many to draw. Only its 50 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32⋊#997C211yesmaximal, characteristic, complemented
2#13164558C212yesmaximal, direct product factor
3C2×C3×#5935—33nomaximal
4C2×C3×#5241—31nomaximal
5C22×#6258—41nomaximal
6C32⋊#997C2211yescharacteristic, complemented
7C2×#88611—42nomaximal
8C2×C32×H(5,𝔽2)D311yescharacteristic, complemented
9C2×C3×#997D313yescomplemented
10C3×#5935—36no—
11C2×C3×#949—32no—
12C2×C3×#940—31no—
13C3×#5241—32no—
14C3×#5241—34no—
15C3×#5241—32no—
16C2×C3×#837—32no—
17C2×C3×#833—31no—
18C22×C22⋊H(3,𝔽3)—41no—
19C22×C22⋊H(3,𝔽3)—81no—
20C2×#6258—42no—
21C2×#6258—44no—
22C2×Q8⋊H(3,𝔽3)—42no—
23#88611—44no—
24C2×#5935—33no—
25C2×C3×#453—91no—
26C2×#5241—31no—
27C22×C3×S4—123no—
28C32×H(5,𝔽2)—31no—
29C32×H(5,𝔽2)—32no—
30C32×H(5,𝔽2)—61no—
31C32×H(5,𝔽2)C2×D311yescharacteristic, complemented
32C2×C32×#41—32no—
33C22×C32×D4—31no—
34C22×C32×D4—61no—
35C22×C3×#67—61no—
36C22×C3×#67—61no—
37C22×C3×D12—31no—
38C3×#997C2×D313yescomplemented
39C2×C3×GL(2,𝔽3)—126no—
40C3×#949—34no—
41C3×#949—34no—
42C3×#949—62no—
43C3×#949—62no—
44C2×C3×#215—62no—
45C3×#940—32no—
46C3×#940—32no—
47C3×#940—61no—
48C3×#940—61no—
49C2×C3×#213—62no—
50C2×C3×C4×Dic3—31no—
51C2×C3×#208—32no—
52C3×#837—34no—
53C3×#837—34no—
54C3×#833—32no—
55C3×#833—32no—
56C22×#272—161no—
57C2×C22⋊H(3,𝔽3)—42no—
58C2×C22⋊H(3,𝔽3)—41no—
59C2×C22⋊H(3,𝔽3)—81no—
60C2×C22⋊H(3,𝔽3)—82no—
61#6258—44no—
62Q8⋊H(3,𝔽3)—42no—
63C2×C3×H(5,𝔽2)—31no—
64C2×C3×H(5,𝔽2)C3⋊D311yescharacteristic
65C2×#997—33no—
66#5935—36no—
67C2×C3×AGL(1,ℤ/8)—92no—
68C2×C3×#127—91no—
69C2×#949—32no—
70C2×#940—31no—
71C3×#453—92no—
72C3×#453—94no—
73C3×#453—92no—
74C2×C3×#104—92no—
75C2×C3×#100—91no—
76#5241—32no—
77#5241—34no—
78#5241—32no—
79C2×#837—32no—
80C2×#833—31no—
81C24×C32—21no—
82C24×C32—31no—
83C24×C32S411yescharacteristic
84C23×C3×D3—61no—
85C22×C3×A4—43no—
86C22×C3×A4—83no—
87C2×C3×S4—126no—
88C2×C3×S4—1212no—
89C32×#41—32no—
90C32×#41—32no—
91C32×#41—32no—
92C32×#41—32no—
93C32×#41—62no—
94C32×#41—62no—
95C2×C32×Q8S412yescomplemented
96C2×C32×D4—32no—
97C2×C32×D4—31no—
98C2×C32×D4—31no—
99C2×C32×D4—31no—
100C2×C32×D4—31no—
101C2×C32×D4—62no—
102C2×C32×D4—62no—
103C2×C32×D4—61no—
104C2×C32×D4—61no—
105C2×C32×D4—62no—
106C2×C32×D4—62no—
107C2×C32×D4—61no—
108C2×C32×D4—61no—
109C22×C32×C4—31no—
110C22×C32×C4—61no—
111C2×C3×#67—62no—
112C2×C3×#67—62no—
113C2×C3×#67—62no—
114C2×C3×#67—62no—
115C2×C3×#67—124no—
116C2×C3×#67—124no—
117C22×C3×Dic3—61no—
118C2×C3×D12—32no—
119C2×C3×D12—62no—
120C2×C3×D12—62no—
121C2×C3×D12—61no—
122C2×C3×SL(2,𝔽3)—46no—
123C3×GL(2,𝔽3)—1212no—
124C3×#215—64no—
125C3×#215—64no—
126C3×#213—64no—
127C3×#213—64no—
128C3×C4×Dic3—32no—
129C3×C4×Dic3—61no—
130C3×#208—34no—
131C3×#208—62no—
132C2×C3×C3⋊C8—62no—
133C2×#453—91noSylow
134C22×H(3,𝔽3)—161no—
135C2×#272—162no—
136C2×#272—164no—
137C22⋊H(3,𝔽3)—41no—
138C22⋊H(3,𝔽3)—81no—
139C22×S4—123no—
140C3×H(5,𝔽2)—31no—
141C3×H(5,𝔽2)—32no—
142C3×H(5,𝔽2)—31no—
143C3×H(5,𝔽2)—32no—
144C3×H(5,𝔽2)—31no—
145C3×H(5,𝔽2)—61no—
146C3×H(5,𝔽2)—62no—
147C3×H(5,𝔽2)—61no—
148C3×H(5,𝔽2)—61no—
149C3×H(5,𝔽2)—62no—
150C3×H(5,𝔽2)C2×C3⋊D311yescharacteristic
151C2×C3×#41—32no—
152C2×C3×#41—32no—
153C2×C3×#41—62no—
154C22×C3×D4—31no—
155C22×C3×D4—31no—
156C22×C3×D4—61no—
157C22×C3×D4—61no—
158C22×C3×D4—62no—
159C22×C3×D4—61no—
160C22×C3×D4—91no—
161C22×C3×D4—181no—
162C22×C3×D4—181no—
163C22×#67—61no—
164C22×#67—61no—
165C22×D12—31no—
166#997—33no—
167C2×GL(2,𝔽3)—126no—
168C3×AGL(1,ℤ/8)—94no—
169C3×AGL(1,ℤ/8)—94no—
170C3×AGL(1,ℤ/8)—182no—
171C3×AGL(1,ℤ/8)—182no—
172C2×C3×SD16—182no—
173C2×C3×D8—182no—
174C2×C3×M16—92no—
175C3×#127—92no—
176C3×#127—92no—
177C3×#127—181no—
178C3×#127—181no—
179C2×C3×C42—91no—
180#949—34no—
181#949—34no—
182#949—62no—
183#949—62no—
184C2×#215—62no—
185#940—32no—
186#940—32no—
187#940—61no—
188#940—61no—
189C2×#213—62no—
190C2×C4×Dic3—31no—
191C2×#208—32no—
192C3×#104—94no—
193C3×#104—94no—
194C3×#100—92no—
195C3×#100—92no—
196#837—34no—
197#837—34no—
198#833—32no—
199#833—32no—
200C23×C32—21no—
201C23×C32—31no—
202C23×C32—31no—
203C23×C32—31no—
204C23×C32—31no—
205C23×C32—42no—
206C23×C32—61no—
207C23×C32—61no—
208C23×C32—61no—
209C23×C32—82no—
210C23×C32—122no—
211C23×C32C2×S411yescharacteristic
212C22×C3×D3—62no—
213C22×C3×D3—121no—
214C22×C3×D3—122no—
215C22×C3×D3—122no—
216C22×C3×D3—121no—
217C22×C3×D3—483no—
218C2×C3×A4—46no—
219C2×C3×A4—43no—
220C2×C3×A4—83no—
221C2×C3×A4—86no—
222C3×S4—1212no—
223C32×Q8—32no—
224C32×Q8C2×S412yescomplemented
225C32×D4—32no—
226C32×D4—32no—
227C32×D4—62no—
228C32×D4—62no—
229C32×D4—62no—
230C32×D4—62no—
231C32×D4—62no—
232C2×C32×C4—31no—
233C2×C32×C4—32no—
234C2×C32×C4—31no—
235C2×C32×C4—32no—
236C2×C32×C4—61no—
237C2×C32×C4—62no—
238C2×C32×C4—61no—
239C3×#67—124no—
240C3×#67—124no—
241C3×#67—124no—
242C3×#67—124no—
243C2×C3×Dic3—62no—
244C2×C3×Dic3—64no—
245C3×D12—64no—
246C3×D12—122no—
247C3×SL(2,𝔽3)—46no—
248C3×C3⋊C8—64no—
249C2×H(5,𝔽2)#27211yescharacteristic, complemented
250C2×AGL(1,ℤ/8)—92no—
251C2×#127—91no—
252#453—92no—
253#453—94no—
254#453—92no—
255C2×#104—92no—
256C2×#100—91no—
257C2×H(3,𝔽3)—162no—
258C2×H(3,𝔽3)—161no—
259#272—164no—
260C24×C3—21no—
261C24×C3—31no—
262C24×C3—31no—
263C24×C3—31no—
264C24×C3—61no—
265C24×C3—61no—
266C24×C3—181no—
267C24×C3C3⋊S411yescharacteristic
268C23×D3—61no—
269C22×A4—123no—
270C22×A4—243no—
271C2×S4—126no—
272C2×S4—1212no—
273C3×#41—32no—
274C3×#41—32no—
275C3×#41—32no—
276C3×#41—32no—
277C3×#41—32no—
278C3×#41—32no—
279C3×#41—32no—
280C3×#41—32no—
281C3×#41—62no—
282C3×#41—62no—
283C3×#41—62no—
284C3×#41—62no—
285C3×#41—62no—
286C3×#41—62no—
287C3×#41—62no—
288C3×#41—62no—
289C3×#41—62no—
290C3×#41—62no—
291C3×#41—62no—
292C3×#41—62no—
293C2×C3×Q8—32no—
294C2×C3×Q8C3⋊S412yes—
295C2×C3×D4—32no—
296C2×C3×D4—32no—
297C2×C3×D4—31no—
298C2×C3×D4—31no—
299C2×C3×D4—31no—
300C2×C3×D4—31no—
301C2×C3×D4—31no—
302C2×C3×D4—31no—
303C2×C3×D4—31no—
304C2×C3×D4—31no—
305C2×C3×D4—61no—
306C2×C3×D4—61no—
307C2×C3×D4—62no—
308C2×C3×D4—61no—
309C2×C3×D4—61no—
310C2×C3×D4—62no—
311C2×C3×D4—62no—
312C2×C3×D4—62no—
313C2×C3×D4—62no—
314C2×C3×D4—61no—
315C2×C3×D4—61no—
316C2×C3×D4—62no—
317C2×C3×D4—62no—
318C2×C3×D4—62no—
319C2×C3×D4—62no—
320C2×C3×D4—62no—
321C2×C3×D4—62no—
322C2×C3×D4—61no—
323C2×C3×D4—62no—
324C2×C3×D4—62no—
325C2×C3×D4—61no—
326C2×C3×D4—62no—
327C2×C3×D4—61no—
328C2×C3×D4—61no—
329C2×C3×D4—62no—
330C2×C3×D4—62no—
331C2×C3×D4—61no—
332C2×C3×D4—62no—
333C2×C3×D4—62no—
334C2×C3×D4—62no—
335C2×C3×D4—62no—
336C2×C3×D4—61no—
337C2×C3×D4—62no—
338C2×C3×D4—92no—
339C2×C3×D4—182no—
340C2×C3×D4—182no—
341C2×C3×D4—181no—
342C2×C3×D4—182no—
343C2×C3×D4—182no—
344C2×C3×D4—182no—
345C2×C3×D4—182no—
346C2×C3×D4—364no—
347C2×C3×D4—364no—
348C22×C3×C4—31no—
349C22×C3×C4—31no—
350C22×C3×C4—61no—
351C22×C3×C4—61no—
352C22×C3×C4—62no—
353C22×C3×C4—61no—
354C22×C3×C4—181no—
355C2×#67—62no—
356C2×#67—62no—
357C2×#67—62no—
358C2×#67—62no—
359C2×#67—124no—
360C2×#67—124no—
361C22×Dic3—61no—
362C2×D12—32no—
363C2×D12—62no—
364C2×D12—62no—
365C2×D12—61no—
366C2×SL(2,𝔽3)—126no—
367GL(2,𝔽3)—1212no—
368C3×SD16—184no—
369C3×SD16—184no—
370C3×D8—184no—
371C3×D8—184no—
372C3×M16—94no—
373C3×M16—182no—
374C2×C3×C8—182no—
375C3×C42—92no—
376C3×C42—181no—
377#215—64no—
378#215—64no—
379#213—64no—
380#213—64no—
381C4×Dic3—32no—
382C4×Dic3—61no—
383#208—34no—
384#208—62no—
385C2×C3⋊C8—62no—
386C22×C32—31no—
387C22×C32—31no—
388C22×C32—41no—
389C22×C32—61no—
390C22×C32—61no—
391C22×C32—62no—
392C22×C32—81no—
393C22×C32—122no—
394C22×C32—121no—
395C22×C32—121no—
396C22×C32—121no—
397C22×C32—163no—
398C22×C32—241no—
399C22×C32—241no—
400C22×C32#102011yescharacteristic
401C2×C3×D3—122no—
402C2×C3×D3—122no—
403C2×C3×D3—122no—
404C2×C3×D3—242no—
405C2×C3×D3—242no—
406C2×C3×D3—486no—
407C2×C3×D3—4812no—
408C3×A4—43no—
409C3×A4—83no—
410C32×C4—32no—
411C32×C4—32no—
412C3×Dic3—64no—
413H(5,𝔽2)—31no—
414H(5,𝔽2)—32no—
415H(5,𝔽2)—61no—
416H(5,𝔽2)C2×#27211yescharacteristic, complemented
417C2×#41—32no—
418C22×D4—31no—
419C22×D4—61no—
420C22×D4—91no—
421C22×D4—181no—
422C22×D4—181no—
423AGL(1,ℤ/8)—94no—
424AGL(1,ℤ/8)—94no—
425AGL(1,ℤ/8)—182no—
426AGL(1,ℤ/8)—182no—
427C2×SD16—182no—
428C2×D8—182no—
429C2×M16—92no—
430#127—92no—
431#127—92no—
432#127—181no—
433#127—181no—
434C2×C42—91no—
435#104—94no—
436#104—94no—
437#100—92no—
438#100—92no—
439H(3,𝔽3)—161noSylow
440C23×C3—21no—
441C23×C3—31no—
442C23×C3—31no—
443C23×C3—31no—
444C23×C3—31no—
445C23×C3—31no—
446C23×C3—31no—
447C23×C3—31no—
448C23×C3—31no—
449C23×C3—31no—
450C23×C3—42no—
451C23×C3—61no—
452C23×C3—61no—
453C23×C3—61no—
454C23×C3—61no—
455C23×C3—61no—
456C23×C3—62no—
457C23×C3—61no—
458C23×C3—61no—
459C23×C3—61no—
460C23×C3—62no—
461C23×C3—62no—
462C23×C3—61no—
463C23×C3—61no—
464C23×C3—61no—
465C23×C3—82no—
466C23×C3—122no—
467C23×C3—122no—
468C23×C3—122no—
469C23×C3—182no—
470C23×C3—242no—
471C23×C3—242no—
472C23×C3—361no—
473C23×C3—362no—
474C23×C3—362no—
475C23×C3—361no—
476C23×C3C2×C3⋊S411yescharacteristic
477C22×D3—62no—
478C22×D3—121no—
479C22×D3—121no—
480C22×D3—122no—
481C22×D3—122no—
482C22×D3—483no—
483C2×A4—126no—
484C2×A4—123no—
485C2×A4—243no—
486C2×A4—246no—
487S4—1212no—
488C3×Q8—32no—
489C3×Q8—32no—
490C3×Q8—32no—
491C3×Q8—62no—
492C3×Q8C2×C3⋊S412yes—
493C3×D4—32no—
494C3×D4—32no—
495C3×D4—32no—
496C3×D4—32no—
497C3×D4—62no—
498C3×D4—62no—
499C3×D4—62no—
500C3×D4—62no—
501C3×D4—62no—
502C3×D4—62no—
503C3×D4—62no—
504C3×D4—62no—
505C3×D4—62no—
506C3×D4—62no—
507C3×D4—62no—
508C3×D4—62no—
509C3×D4—62no—
510C3×D4—62no—
511C3×D4—62no—
512C3×D4—62no—
513C3×D4—62no—
514C3×D4—62no—
515C3×D4—62no—
516C3×D4—62no—
517C3×D4—62no—
518C3×D4—62no—
519C3×D4—184no—
520C3×D4—362no—
521C3×D4—364no—
522C3×D4—364no—
523C3×D4—364no—
524C3×D4—364no—
525C2×C3×C4—32no—
526C2×C3×C4—31no—
527C2×C3×C4—32no—
528C2×C3×C4—31no—
529C2×C3×C4—31no—
530C2×C3×C4—31no—
531C2×C3×C4—32no—
532C2×C3×C4—32no—
533C2×C3×C4—62no—
534C2×C3×C4—61no—
535C2×C3×C4—61no—
536C2×C3×C4—62no—
537C2×C3×C4—61no—
538C2×C3×C4—62no—
539C2×C3×C4—61no—
540C2×C3×C4—62no—
541C2×C3×C4—62no—
542C2×C3×C4—62no—
543C2×C3×C4—62no—
544C2×C3×C4—61no—
545C2×C3×C4—62no—
546C2×C3×C4—61no—
547C2×C3×C4—182no—
548C2×C3×C4—184no—
549#67—124no—
550#67—124no—
551#67—124no—
552#67—124no—
553C2×Dic3—62no—
554C2×Dic3—64no—
555D12—64no—
556D12—122no—
557SL(2,𝔽3)—126no—
558C3×C8—184no—
559C3⋊C8—64no—
560C2×C32—61no—
561C2×C32—61no—
562C2×C32—121no—
563C2×C32—121no—
564C2×C32—163no—
565C2×C32—166no—
566C2×C32#593512yescomplemented
567C2×C32C2×#102011yescharacteristic
568C3×D3—242no—
569C3×D3—4812no—
570C24—21no—
571C24—31no—
572C24—181no—
573C24#625811yescharacteristic
574#41—32no—
575#41—32no—
576#41—32no—
577#41—32no—
578#41—62no—
579#41—62no—
580C2×Q8#625812yescomplemented
581C2×D4—32no—
582C2×D4—31no—
583C2×D4—31no—
584C2×D4—31no—
585C2×D4—31no—
586C2×D4—62no—
587C2×D4—62no—
588C2×D4—61no—
589C2×D4—61no—
590C2×D4—62no—
591C2×D4—62no—
592C2×D4—61no—
593C2×D4—61no—
594C2×D4—92no—
595C2×D4—182no—
596C2×D4—182no—
597C2×D4—181no—
598C2×D4—182no—
599C2×D4—182no—
600C2×D4—182no—
601C2×D4—182no—
602C2×D4—364no—
603C2×D4—364no—
604C22×C4—31no—
605C22×C4—61no—
606C22×C4—181no—
607SD16—184no—
608SD16—184no—
609D8—184no—
610D8—184no—
611M16—94no—
612M16—182no—
613C2×C8—182no—
614C42—92no—
615C42—181no—
616C22×C3—31no—
617C22×C3—31no—
618C22×C3—31no—
619C22×C3—31no—
620C22×C3—31no—
621C22×C3—41no—
622C22×C3—61no—
623C22×C3—61no—
624C22×C3—62no—
625C22×C3—62no—
626C22×C3—62no—
627C22×C3—61no—
628C22×C3—61no—
629C22×C3—62no—
630C22×C3—61no—
631C22×C3—61no—
632C22×C3—81no—
633C22×C3—121no—
634C22×C3—122no—
635C22×C3—122no—
636C22×C3—124no—
637C22×C3—121no—
638C22×C3—121no—
639C22×C3—121no—
640C22×C3—121no—
641C22×C3—121no—
642C22×C3—121no—
643C22×C3—122no—
644C22×C3—241no—
645C22×C3—241no—
646C22×C3—241no—
647C22×C3—241no—
648C22×C3—241no—
649C22×C3—241no—
650C22×C3—241no—
651C22×C3—242no—
652C22×C3—241no—
653C22×C3—242no—
654C22×C3—362no—
655C22×C3—362no—
656C22×C3—362no—
657C22×C3—483no—
658C22×C3—722no—
659C22×C3—722no—
660C22×C3C3⋊#102011yescharacteristic
661C2×D3—122no—
662C2×D3—122no—
663C2×D3—122no—
664C2×D3—242no—
665C2×D3—242no—
666C2×D3—486no—
667C2×D3—4812no—
668A4—123no—
669A4—243no—
670C3×C4—32no—
671C3×C4—32no—
672C3×C4—32no—
673C3×C4—32no—
674C3×C4—62no—
675C3×C4—62no—
676C3×C4—184no—
677Dic3—64no—
678C32—163no—
679C32C2×#593511yescharacteristic, complemented
680C23—21no—
681C23—31no—
682C23—31no—
683C23—31no—
684C23—31no—
685C23—42no—
686C23—61no—
687C23—61no—
688C23—61no—
689C23—82no—
690C23—122no—
691C23—182no—
692C23—361no—
693C23—362no—
694C23—362no—
695C23—361no—
696C23C2×#625811yescharacteristic
697Q8—32no—
698Q8C2×#625812yescomplemented
699D4—32no—
700D4—32no—
701D4—62no—
702D4—62no—
703D4—62no—
704D4—62no—
705D4—62no—
706D4—184no—
707D4—362no—
708D4—364no—
709D4—364no—
710D4—364no—
711D4—364no—
712C2×C4—31no—
713C2×C4—31no—
714C2×C4—32no—
715C2×C4—32no—
716C2×C4—61no—
717C2×C4—62no—
718C2×C4—61no—
719C2×C4—182no—
720C2×C4—184no—
721C8—184no—
722C2×C3—32no—
723C2×C3—31no—
724C2×C3—61no—
725C2×C3—61no—
726C2×C3—61no—
727C2×C3—61no—
728C2×C3—121no—
729C2×C3—121no—
730C2×C3—121no—
731C2×C3—121no—
732C2×C3—122no—
733C2×C3—122no—
734C2×C3—121no—
735C2×C3—121no—
736C2×C3—486no—
737C2×C3—483no—
738C2×C3—722no—
739C2×C3C3⋊#593512yes—
740C2×C3C2×C3⋊#102011yescharacteristic
741D3—242no—
742D3—4812no—
743C22—31no—
744C22—31no—
745C22—41no—
746C22—62no—
747C22—61no—
748C22—61no—
749C22—81no—
750C22—121no—
751C22—121no—
752C22—121no—
753C22—122no—
754C22—241no—
755C22—241no—
756C22—362no—
757C22—362no—
758C22—362no—
759C22—722no—
760C22—722no—
761C22#1172405511yescharacteristic
762C4—32no—
763C4—32no—
764C4—184no—
765C3—31no—
766C3—483no—
767C3C2×C3⋊#593511yescharacteristic
768C2—61no—
769C2—61no—
770C2—121no—
771C2—121no—
772C2—722no—
773C2#1316455812yesdirect product factor
774C2C2×#1172405511yescharacteristic
subgroupG/H
center, socle, hypercenterC22×C3C3⋊#1020
commutator, cosocle, hypocenterC32⋊#997C22
FrattiniC2×C3C2×C3⋊#1020
FittingC2×C32×H(5,𝔽2)D3
LCSG ▷ C32⋊#997
UCSC1 ◁ C22×C3

Complements

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

NH ≅ G/Ntype
1. C2×C32⋊#997C2semidirect
2. #13164558C2direct (N × H)
6. C32⋊#997C22semidirect
8. C2×C32×H(5,𝔽2)D3semidirect
9. C2×C3×#997D3semidirect
31. C32×H(5,𝔽2)C2×D3semidirect
38. C3×#997C2×D3semidirect
95. C2×C32×Q8S4semidirect
224. C32×Q8C2×S4semidirect
249. C2×H(5,𝔽2)#272semidirect
416. H(5,𝔽2)C2×#272semidirect
566. C2×C32#5935semidirect
580. C2×Q8#6258semidirect
679. C32C2×#5935semidirect
698. Q8C2×#6258semidirect
773. C2#13164558direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C32⋊#9972
#131645582
C2×C3×#59353
C2×C3×#52413
C22×#62584
C2×#886114