Finite Group Databasebeta

← C2×#78989 #11659488

Subgroups — C2×#78989 #11659488

Order 768.

2666 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5822C211yesmaximal, characteristic
2C22×#948C211yesmaximal, characteristic, complemented
3C22×#907C211yesmaximal, characteristic, complemented
4C2×C3×#421C211yesmaximal, characteristic, complemented
5C2×#5124C211yesmaximal, characteristic, complemented
6C2×#5005C211yesmaximal, characteristic, complemented
7C2×#4997C211yesmaximal, characteristic, complemented
8#78989C2116yesmaximal, direct product factor
9C2×#4823C214yesmaximal, complemented
10C2×#4824C214yesmaximal, complemented
11C2×#2955—31nomaximal, Sylow
12C22×C3×#41C2211yescharacteristic
13C22×#235C2211yescharacteristic
14C22×C3×M16C2211yescharacteristic
15C2×C3×#117C2211yescharacteristic
16C2×#951C412yescomplemented
17#5822C418yescomplemented
18#5822C2218yes—
19C2×#950C2214yes—
20C2×#949C412yescomplemented
21C2×#948—21no—
22C2×#948—21no—
23C2×#948—24no—
24C2×#948C2212yescomplemented
25C2×#948C2212yescomplemented
26C2×#948C2218yescomplemented
27C2×#942C412yescomplemented
28C2×#932C412yescomplemented
29C22×#208—21no—
30C22×#208C2211yescharacteristic
31C22×#208C2211yescharacteristic
32C23×C3⋊C8—21no—
33C23×C3⋊C8C2211yescharacteristic
34C2×#907—21no—
35C2×#907—21no—
36C2×#907—24no—
37C2×#907C2212yescomplemented
38C2×#907C2212yescomplemented
39C2×#907C2218yescomplemented
40C22×ΓL(1,𝔽25)—21no—
41C22×D3×C8—21no—
42C3×#421C2218yescomplemented
43C2×C3×#104C2214yescomplemented
44#5124C2218yescomplemented
45C2×#822C2214yescomplemented
46#5005C2218yescomplemented
47#4997C2218yescomplemented
48C2×#805C2214yescomplemented
49C2×#803C2212yescomplemented
50C2×C4×C3⋊C8C2212yescomplemented
51#4824C22132yescomplemented
52#4823C22132yescomplemented
53C2×#575—31no—
54C22×#131—31no—
55C22×#131—31no—
56#2955—316no—
57C2×#444—34no—
58C2×#443—34no—
59C2×#430—31no—
60C2×#421—31no—
61C2×#421D311yescharacteristic, complemented
62C2×#405—31no—
63C2×C3×#41—21no—
64C2×C3×#41—22no—
65C2×C3×#41—21no—
66C2×C3×#41—22no—
67C2×C3×#41C2×C412yes—
68C2×C3×#41C2×C414yes—
69C2×C3×#41C2312yes—
70C2×C3×#41C2314yes—
71C22×C3×Q8C2×C411yescharacteristic
72C22×C3×D4—21no—
73C22×C3×D4C2×C411yescharacteristic
74C23×C3×C4—21no—
75C23×C3×C4C2311yescharacteristic
76C22×#67—21no—
77C2×#235—21no—
78C2×#235—22no—
79C2×#235—21no—
80C2×#235—22no—
81C2×#235C2×C412yes—
82C2×#235C2×C414yes—
83C2×#235C2312yes—
84C2×#235C2314yes—
85C22×D12C2×C411yescharacteristic
86C22×C4×D3—21no—
87C22×Dic6C2×C411yescharacteristic
88C2×C3×M16—21no—
89C2×C3×M16—22no—
90C2×C3×M16C2312yes—
91C2×C3×M16C2314yes—
92C22×C3×C8—21no—
93C3×#117—22no—
94C3×#117C2314yes—
95C2×C3×C4⋊C4—21no—
96C2×C3×C22⋊C4—21no—
97C2×C3×C42C2312yes—
98#951C2×C4116yescomplemented
99#950C2×C4116yes—
100#950C23116yes—
101#949C2×C4116yescomplemented
102#948—28no—
103#948—28no—
104#948—24no—
105#948—24no—
106#948C2318yescomplemented
107#948C2318yescomplemented
108C2×#216C2×C414yes—
109#942C2×C4116yescomplemented
110C2×#215C2×C414yes—
111C2×#214C2×C414yes—
112#932C2×C4116yescomplemented
113C2×#213C2×C414yes—
114C2×#208—21no—
115C2×#208—22no—
116C2×#208—22no—
117C2×#208—22no—
118C2×#208—28no—
119C2×#208C2×C412yes—
120C2×#208C2×C412yes—
121C2×#208C2×C414yes—
122C2×#208C2312yes—
123C2×#208C2314yes—
124C2×#208C2314yes—
125C22×C3⋊C8—21no—
126C22×C3⋊C8—22no—
127C22×C3⋊C8—22no—
128C22×C3⋊C8—28no—
129C22×C3⋊C8D411yescharacteristic
130C22×C3⋊C8D411yescharacteristic
131C22×C3⋊C8D411yescharacteristic
132C22×C3⋊C8D411yescharacteristic
133C22×C3⋊C8D414yes—
134C22×C3⋊C8C2312yes—
135C22×C3⋊C8C2311yescharacteristic
136C22×C3⋊C8C2311yescharacteristic
137C22×C3⋊C8C2314yes—
138#907—28no—
139#907—28no—
140#907—24no—
141#907—24no—
142#907C2318yescomplemented
143#907C2318yescomplemented
144C2×ΓL(1,𝔽25)—22no—
145C2×ΓL(1,𝔽25)—22no—
146C2×ΓL(1,𝔽25)—28no—
147C2×D3×C8—22no—
148C2×D3×C8—22no—
149C2×D3×C8—28no—
150C3×#104C23116yescomplemented
151#822C23116yescomplemented
152#805C23116yescomplemented
153#803C2318yescomplemented
154C4×C3⋊C8C2318yescomplemented
155C22×#41—31no—
156C22×#41C2×D311yescharacteristic
157#575—38no—
158#575—38no—
159C2×#137—32no—
160C2×#137—32no—
161C2×AGL(1,ℤ/8)—32no—
162C2×AGL(1,ℤ/8)—32no—
163C2×#135—34no—
164C2×#131—32no—
165C2×#131—32no—
166C2×#131—38no—
167C2×#131—32no—
168C2×#131—32no—
169C2×#131—38no—
170C2×#131—61no—
171C2×#131—61no—
172C2×#131—64no—
173C2×#131—61no—
174C2×#131—61no—
175C2×#131—64no—
176C22×M16—31no—
177C22×M16—31no—
178C22×M16—61no—
179C22×M16—61no—
180C22×M16C2×D311yescharacteristic
181C23×C8—31no—
182C23×C8—61no—
183C23×C8—61no—
184C2×#117C2×D311yescharacteristic
185#444—332no—
186#443—332no—
187#430—38no—
188C2×#108—34no—
189#421—38no—
190#421C2×D318yescomplemented
191C2×#104—34no—
192C2×#104C2×D314yescomplemented
193#405—38no—
194C2×#97—32no—
195C2×C4×C8—32no—
196C24×C3—21no—
197C24×C3#4111yescharacteristic
198C23×D3—21no—
199C3×#41—24no—
200C3×#41—24no—
201C3×#41—24no—
202C3×#41—24no—
203C3×#41—22no—
204C3×#41—22no—
205C3×#41—24no—
206C3×#41C22×C418yes—
207C3×#41C22×C414yes—
208C3×#41C2414yes—
209C2×C3×Q8—21no—
210C2×C3×Q8—22no—
211C2×C3×Q8C22×C412yes—
212C2×C3×Q8C22×C414yes—
213C2×C3×D4—22no—
214C2×C3×D4—24no—
215C2×C3×D4—22no—
216C2×C3×D4—24no—
217C2×C3×D4—21no—
218C2×C3×D4—22no—
219C2×C3×D4C22×C412yes—
220C2×C3×D4C22×C414yes—
221C22×C3×C4—21no—
222C22×C3×C4—22no—
223C22×C3×C4—24no—
224C22×C3×C4—24no—
225C22×C3×C4—22no—
226C22×C3×C4—22no—
227C22×C3×C4C22×C411yescharacteristic
228C22×C3×C4C22×C411yescharacteristic
229C22×C3×C4C22×C412yes—
230C22×C3×C4C2×D411yescharacteristic
231C22×C3×C4C2×D411yescharacteristic
232C22×C3×C4C2×D412yes—
233C22×C3×C4#4111yescharacteristic
234C22×C3×C4#4112yes—
235C22×C3×C4C2411yescharacteristic
236C22×C3×C4C2412yes—
237C2×#67—22no—
238C2×#67—24no—
239C2×#67—22no—
240C2×#67—24no—
241C22×Dic3—21no—
242#235—24no—
243#235—24no—
244#235—24no—
245#235—24no—
246#235—22no—
247#235—22no—
248#235—24no—
249#235C22×C418yes—
250#235C22×C414yes—
251#235C2414yes—
252C2×D12—21no—
253C2×D12—22no—
254C2×D12C22×C412yes—
255C2×D12C22×C414yes—
256C2×C4×D3—22no—
257C2×C4×D3—24no—
258C2×C4×D3—24no—
259C2×C4×D3—22no—
260C2×Dic6—21no—
261C2×Dic6—22no—
262C2×Dic6C22×C412yes—
263C2×Dic6C22×C414yes—
264C3×M16—24no—
265C3×M16—22no—
266C3×M16C2414yes—
267C2×C3×C8—24no—
268C2×C3×C8—22no—
269C3×C4⋊C4—24no—
270C3×C22⋊C4—24no—
271C3×C42—22no—
272C3×C42C2414yes—
273#216C22×C4116yes—
274#215C22×C4116yes—
275#214C22×C4116yes—
276#213C22×C4116yes—
277#208—24no—
278#208—22no—
279#208—28no—
280#208—28no—
281#208C22×C418yes—
282#208C22×C418yes—
283#208C2414yes—
284C2×C3⋊C8—24no—
285C2×C3⋊C8—22no—
286C2×C3⋊C8—28no—
287C2×C3⋊C8—28no—
288C2×C3⋊C8C22×C414yes—
289C2×C3⋊C8C22×C414yes—
290C2×C3⋊C8C2×D411yescharacteristic
291C2×C3⋊C8C2×D411yescharacteristic
292C2×C3⋊C8C2×D414yes—
293C2×C3⋊C8C2×D411yescharacteristic
294C2×C3⋊C8C2×D411yescharacteristic
295C2×C3⋊C8C2×D414yes—
296C2×C3⋊C8C2×D414yes—
297C2×C3⋊C8C2×D414yes—
298C2×C3⋊C8C2×D412yes—
299C2×C3⋊C8C2×D412yes—
300C2×C3⋊C8C2414yes—
301C2×C3⋊C8C2412yes—
302C2×C3⋊C8C2412yes—
303ΓL(1,𝔽25)—28no—
304ΓL(1,𝔽25)—28no—
305D3×C8—28no—
306D3×C8—28no—
307C2×#41—22no—
308C2×#41—21no—
309C2×#41—21no—
310C2×#41—22no—
311C2×#41—32no—
312C2×#41—34no—
313C2×#41—32no—
314C2×#41—34no—
315C2×#41—62no—
316C2×#41—61no—
317C2×#41—61no—
318C2×#41—62no—
319C2×#41C4×D312yes—
320C2×#41C4×D314yes—
321C2×#41C22×D312yes—
322C2×#41C22×D314yes—
323C22×Q8—31no—
324C22×Q8C4×D311yescharacteristic
325C22×D4—21no—
326C22×D4—31no—
327C22×D4—61no—
328C22×D4C4×D311yescharacteristic
329C23×C4—21no—
330C23×C4—61no—
331C23×C4C22×D311yescharacteristic
332#137—316no—
333#137—316no—
334AGL(1,ℤ/8)—316no—
335AGL(1,ℤ/8)—316no—
336#135—316no—
337#135—316no—
338C2×Q16—34no—
339C2×SD16—34no—
340C2×SD16—34no—
341C2×D8—34no—
342#131—38no—
343#131—38no—
344#131—38no—
345#131—38no—
346#131—68no—
347#131—68no—
348#131—64no—
349#131—64no—
350#131—68no—
351#131—68no—
352#131—64no—
353#131—64no—
354C2×M16—22no—
355C2×M16—21no—
356C2×M16—32no—
357C2×M16—32no—
358C2×M16—34no—
359C2×M16—34no—
360C2×M16—32no—
361C2×M16—34no—
362C2×M16—68no—
363C2×M16—62no—
364C2×M16—62no—
365C2×M16—68no—
366C2×M16—62no—
367C2×M16—62no—
368C2×M16—62no—
369C2×M16—61no—
370C2×M16C22×D312yes—
371C2×M16C22×D314yes—
372C22×C8—21no—
373C22×C8—31no—
374C22×C8—31no—
375C22×C8—31no—
376C22×C8—31no—
377C22×C8—34no—
378C22×C8—31no—
379C22×C8—31no—
380C22×C8—34no—
381C22×C8—32no—
382C22×C8—68no—
383C22×C8—62no—
384C22×C8—62no—
385C22×C8—68no—
386C22×C8—62no—
387C22×C8—62no—
388C22×C8—61no—
389#117—22no—
390#117C22×D314yes—
391C2×C4⋊C4—21no—
392C2×C22⋊C4—21no—
393C2×C42C22×D312yes—
394#108—316no—
395#104—316no—
396#104C22×D3116yescomplemented
397#97—38no—
398C4×C8—38no—
399C23×C3—24no—
400C23×C3—22no—
401C23×C3—42no—
402C23×C3—44no—
403C23×C3C4×D411yescharacteristic
404C23×C3C4×D411yescharacteristic
405C23×C3C4×D412yes—
406C23×C3C2×#4111yescharacteristic
407C23×C3C2×#4112yes—
408C22×D3—24no—
409C22×D3—22no—
410C22×D3—44no—
411C3×Q8—22no—
412C3×Q8—24no—
413C3×Q8C23×C414yes—
414C3×D4—28no—
415C3×D4—24no—
416C3×D4—24no—
417C3×D4—22no—
418C3×D4—24no—
419C3×D4C23×C414yes—
420C2×C3×C4—24no—
421C2×C3×C4—22no—
422C2×C3×C4—28no—
423C2×C3×C4—24no—
424C2×C3×C4—24no—
425C2×C3×C4—24no—
426C2×C3×C4—44no—
427C2×C3×C4C4×D411yescharacteristic
428C2×C3×C4C4×D412yes—
429C2×C3×C4C4×D411yescharacteristic
430C2×C3×C4C4×D412yes—
431C2×C3×C4C4×D412yes—
432C2×C3×C4C4×D412yes—
433C2×C3×C4C4×D412yes—
434C2×C3×C4C23×C411yescharacteristic
435C2×C3×C4C23×C411yescharacteristic
436C2×C3×C4C23×C412yes—
437C2×C3×C4C23×C412yes—
438C2×C3×C4C22×D412yes—
439C2×C3×C4C22×D412yes—
440C2×C3×C4C22×D411yescharacteristic
441C2×C3×C4C22×D411yescharacteristic
442C2×C3×C4C2×#4111yescharacteristic
443C2×C3×C4C2×#4112yes—
444C2×C3×C4C2511yescharacteristic
445#67—28no—
446#67—24no—
447#67—24no—
448C2×Dic3—24no—
449C2×Dic3—22no—
450D12—24no—
451D12—22no—
452D12C23×C414yes—
453C4×D3—24no—
454C4×D3—28no—
455C4×D3—24no—
456Dic6—24no—
457Dic6—22no—
458Dic6C23×C414yes—
459C3×C8—24no—
460C3⋊C8—24no—
461C3⋊C8C23×C418yes—
462C3⋊C8C22×D412yes—
463C3⋊C8C22×D412yes—
464C3⋊C8C22×D412yes—
465C3⋊C8C22×D412yes—
466C24—21no—
467C24—61no—
468C24#23711yescharacteristic
469#41—24no—
470#41—24no—
471#41—24no—
472#41—24no—
473#41—22no—
474#41—22no—
475#41—24no—
476#41—34no—
477#41—38no—
478#41—34no—
479#41—64no—
480#41—64no—
481#41—64no—
482#41—64no—
483#41—62no—
484#41—62no—
485#41—64no—
486#41C2×C4×D314yes—
487#41C2×C4×D318yes—
488#41C23×D314yes—
489C2×Q8—21no—
490C2×Q8—22no—
491C2×Q8—32no—
492C2×Q8—34no—
493C2×Q8—61no—
494C2×Q8—62no—
495C2×Q8C2×C4×D312yes—
496C2×Q8C2×C4×D314yes—
497C2×D4—22no—
498C2×D4—24no—
499C2×D4—22no—
500C2×D4—24no—
501C2×D4—21no—
502C2×D4—22no—
503C2×D4—32no—
504C2×D4—34no—
505C2×D4—62no—
506C2×D4—64no—
507C2×D4—62no—
508C2×D4—64no—
509C2×D4—61no—
510C2×D4—62no—
511C2×D4C2×C4×D312yes—
512C2×D4C2×C4×D314yes—
513C22×C4—21no—
514C22×C4—22no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—61no—
520C22×C4—62no—
521C22×C4—64no—
522C22×C4—64no—
523C22×C4—62no—
524C22×C4C2×C4×D311yescharacteristic
525C22×C4C2×C4×D311yescharacteristic
526C22×C4C2×C4×D312yes—
527C22×C4D3×D412yes—
528C22×C4D3×D411yescharacteristic
529C22×C4D3×D411yescharacteristic
530C22×C4#23711yescharacteristic
531C22×C4#23712yes—
532C22×C4C23×D312yes—
533C22×C4C23×D311yescharacteristic
534Q16—316no—
535SD16—316no—
536SD16—316no—
537D8—316no—
538M16—24no—
539M16—22no—
540M16—38no—
541M16—38no—
542M16—34no—
543M16—68no—
544M16—68no—
545M16—68no—
546M16—68no—
547M16—64no—
548M16—62no—
549M16C23×D314yes—
550C2×C8—24no—
551C2×C8—22no—
552C2×C8—34no—
553C2×C8—34no—
554C2×C8—34no—
555C2×C8—34no—
556C2×C8—34no—
557C2×C8—34no—
558C2×C8—32no—
559C2×C8—32no—
560C2×C8—31no—
561C2×C8—31no—
562C2×C8—31no—
563C2×C8—31no—
564C2×C8—32no—
565C2×C8—34no—
566C2×C8—32no—
567C2×C8—68no—
568C2×C8—68no—
569C2×C8—68no—
570C2×C8—68no—
571C2×C8—64no—
572C2×C8—62no—
573C4⋊C4—24no—
574C22⋊C4—24no—
575C42—22no—
576C42C23×D314yes—
577C22×C3—22no—
578C22×C3—22no—
579C22×C3—22no—
580C22×C3—24no—
581C22×C3—42no—
582C22×C3—42no—
583C22×C3—48no—
584C22×C3—44no—
585C22×C3C2×C4×D412yes—
586C22×C3C2×C4×D412yes—
587C22×C3C2×C4×D411yescharacteristic
588C22×C3C2×C4×D411yescharacteristic
589C22×C3C22×#4111yescharacteristic
590C2×D3—24no—
591C2×D3—48no—
592C2×D3—44no—
593C3×C4—24no—
594C3×C4—44no—
595C3×C4C2×C4×D412yes—
596C3×C4C2×C4×D411yescharacteristic
597C3×C4C2×C4×D411yescharacteristic
598C3×C4C2×C4×D412yes—
599C3×C4C24×C411yescharacteristic
600C3×C4C23×D411yescharacteristic
601Dic3—24no—
602C23—24no—
603C23—22no—
604C23—42no—
605C23—44no—
606C23—64no—
607C23—62no—
608C23—124no—
609C23#67⋊C411yescharacteristic
610C23#67⋊C411yescharacteristic
611C23#67⋊C412yes—
612C23C2×#23711yescharacteristic
613C23C2×#23712yes—
614Q8—24no—
615Q8—22no—
616Q8—34no—
617Q8—64no—
618Q8—62no—
619Q8C22×C4×D314yes—
620D4—24no—
621D4—28no—
622D4—24no—
623D4—24no—
624D4—22no—
625D4—34no—
626D4—64no—
627D4—68no—
628D4—64no—
629D4—64no—
630D4—62no—
631D4C22×C4×D314yes—
632C2×C4—24no—
633C2×C4—22no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—28no—
637C2×C4—24no—
638C2×C4—44no—
639C2×C4—64no—
640C2×C4—62no—
641C2×C4—64no—
642C2×C4—64no—
643C2×C4—68no—
644C2×C4#67⋊C411yescharacteristic
645C2×C4#67⋊C412yes—
646C2×C4#67⋊C411yescharacteristic
647C2×C4#67⋊C412yes—
648C2×C4#67⋊C412yes—
649C2×C4#67⋊C412yes—
650C2×C4#67⋊C412yes—
651C2×C4C22×C4×D311yescharacteristic
652C2×C4C22×C4×D311yescharacteristic
653C2×C4C22×C4×D312yes—
654C2×C4C22×C4×D312yes—
655C2×C4C2×D3×D412yes—
656C2×C4C2×D3×D412yes—
657C2×C4C2×D3×D411yescharacteristic
658C2×C4C2×D3×D411yescharacteristic
659C2×C4C2×#23711yescharacteristic
660C2×C4C2×#23712yes—
661C2×C4C24×D311yescharacteristic
662C8—24no—
663C8—38no—
664C8—32no—
665C8—32no—
666C8—32no—
667C8—32no—
668C8—64no—
669C2×C3—21no—
670C2×C3—22no—
671C2×C3—22no—
672C2×C3—21no—
673C2×C3—44no—
674C2×C3#295512yescomplemented
675C2×C3C22×C4×D411yescharacteristic
676D3—44no—
677C22—22no—
678C22—22no—
679C22—22no—
680C22—24no—
681C22—42no—
682C22—42no—
683C22—48no—
684C22—44no—
685C22—64no—
686C22—128no—
687C22—124no—
688C22C2×#67⋊C412yes—
689C22C2×#67⋊C412yes—
690C22C2×#67⋊C411yescharacteristic
691C22C2×#67⋊C411yescharacteristic
692C22C22×#23711yescharacteristic
693C4—24no—
694C4—44no—
695C4—64no—
696C4C2×#67⋊C411yescharacteristic
697C4C2×#67⋊C412yes—
698C4C2×#67⋊C412yes—
699C4C2×#67⋊C411yescharacteristic
700C4C23×C4×D311yescharacteristic
701C4C22×D3×D411yescharacteristic
702C3C2×#295511yescharacteristic, complemented, Sylow
703C2—21no—
704C2—22no—
705C2—22no—
706C2—21no—
707C2—44no—
708C2—124no—
709C2#7898912yesdirect product factor
710C2C22×#67⋊C411yescharacteristic
subgroupG/H
centerC2×C4C2×D3×D4
commutatorC3×C4C24×C4
FrattiniC2×C4C24×D3
FittingC2×C3×#421C2
socleC22×C3C2×C4×D4
prime radicalC2×#5822C2
cosocleC2×C3×C4C25
hypercenterC2×#421D3
hypocenterC3C2×#2955
LCSG ▷ C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#421

Complements

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

NH ≅ G/Ntype
2. C22×#948C2semidirect
3. C22×#907C2semidirect
4. C2×C3×#421C2semidirect
5. C2×#5124C2semidirect
6. C2×#5005C2semidirect
7. C2×#4997C2semidirect
8. #78989C2direct (N × H)
9. C2×#4823C2semidirect
10. C2×#4824C2semidirect
16. C2×#951C4semidirect
17. #5822C4semidirect
20. C2×#949C4semidirect
24. C2×#948C22semidirect
25. C2×#948C22semidirect
26. C2×#948C22semidirect
27. C2×#942C4semidirect
28. C2×#932C4semidirect
37. C2×#907C22semidirect
38. C2×#907C22semidirect
39. C2×#907C22semidirect
42. C3×#421C22semidirect
43. C2×C3×#104C22semidirect
44. #5124C22semidirect
45. C2×#822C22semidirect
46. #5005C22semidirect
47. #4997C22semidirect
48. C2×#805C22semidirect
49. C2×#803C22semidirect
50. C2×C4×C3⋊C8C22semidirect
51. #4824C22semidirect
52. #4823C22semidirect
61. C2×#421D3semidirect
98. #951C2×C4semidirect
101. #949C2×C4semidirect
106. #948C23semidirect
107. #948C23semidirect
109. #942C2×C4semidirect
112. #932C2×C4semidirect
142. #907C23semidirect
143. #907C23semidirect
150. C3×#104C23semidirect
151. #822C23semidirect
152. #805C23semidirect
153. #803C23semidirect
154. C4×C3⋊C8C23semidirect
190. #421C2×D3semidirect
192. C2×#104C2×D3semidirect
396. #104C22×D3semidirect
674. C2×C3#2955semidirect
702. C3C2×#2955semidirect
709. C2#78989direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#58222
C22×#9482
C22×#9072
C2×C3×#4212
C2×#51242
C2×#50052
C2×#49972
#789892
C2×#48232
C2×#48242
C2×#29553