Finite Group Databasebeta

← C2×#10595133 #11900774

Subgroups — C2×#10595133 #11900774

Order 1152.

3669 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3805C212yesmaximal, complemented
2C2×D4×C3⋊Dic3C211yesmaximal, characteristic, complemented
3C2×C3×#940C211yesmaximal, characteristic, complemented
4C2×C3×#938C211yesmaximal, characteristic, complemented
5C2×#67⋊Dic3C212yesmaximal, complemented
6C2×#63970C212yesmaximal, complemented
7C2×#63959C212yesmaximal, complemented
8#10595133C2116yesmaximal, direct product factor
9C2×#63918C211yesmaximal, characteristic, complemented
10C2×#63908C211yesmaximal, characteristic, complemented
11C2×#63898C211yesmaximal, characteristic, complemented
12C2×C4×D3×Dic3C211yesmaximal, characteristic, complemented
13C2×#5716—31nomaximal
14C2×#5596—31nomaximal
15C22×C32×D4C2211yescharacteristic
16C23×C3⋊Dic3C2212yes—
17C22×C3×#67C2212yes—
18C22×C3×#67C2212yes—
19C22×C3×#67C2212yes—
20C22×C3×D12C2211yescharacteristic
21C22×C3×C4×D3C2211yescharacteristic
22C22×#627C2212yes—
23C22×#625C2212yes—
24C2×#3805—216no—
25C2×#3805C22116yescomplemented
26C22×D3×Dic3C2211yescharacteristic
27C22×D3×Dic3C2212yes—
28C22×D3×Dic3C2211yescharacteristic
29C2×#3757C2212yes—
30D4×C3⋊Dic3C2218yescomplemented
31C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
32C2×C4×C3⋊Dic3C2211yescharacteristic
33C2×C3×#217C2212yes—
34C3×#940C2218yescomplemented
35C3×#938C2218yescomplemented
36C2×C3×C4⋊Dic3C2211yescharacteristic
37C2×C3×C4×Dic3C2211yescharacteristic
38#67⋊Dic3C22116yescomplemented
39#63970C22116yescomplemented
40C2×Dic3⋊Dic3C2212yes—
41C2×(C2×D3)⋊Dic3C2212yes—
42C2×(C2×D3)⋊Dic3C2212yes—
43#63959C22116yescomplemented
44C2×Dic32C2211yescharacteristic
45C2×Dic32C2211yescharacteristic
46#63918C2218yescomplemented
47#63908C2218yescomplemented
48#63898C2218yescomplemented
49C4×D3×Dic3C2218yescomplemented
50C22×#237—32no—
51C22×#237—32no—
52C2×C3×#127—31no—
53C2×C3×#121—31no—
54C2×#940D311yescharacteristic, complemented
55C2×#939—32no—
56C2×#938—32no—
57C2×#938—31no—
58C2×#938D311yescharacteristic, complemented
59C2×#936—32no—
60C2×D4×Dic3—31no—
61C2×D4×Dic3—31no—
62C2×D4×Dic3—32no—
63C2×D4×Dic3—31no—
64C2×D4×Dic3—61no—
65C2×#930—31no—
66C22×C4×Dic3—31no—
67#5716—316no—
68#5596—316no—
69C2×#893—31no—
70C2×#888—31no—
71C2×#885—32no—
72C2×#67⋊C4—32no—
73C2×C42×D3—31no—
74C2×#869—31no—
75C24×C32C2312yes—
76C23×C3×D3C2312yes—
77C23×C3×D3C2311yescharacteristic
78C2×C32×D4—24no—
79C2×C32×D4C2314yes—
80C22×C32×C4C2311yescharacteristic
81C22×C3⋊Dic3—28no—
82C22×C3⋊Dic3C2311yescharacteristic
83C22×C3⋊Dic3C2318yes—
84C22×C3⋊Dic3C2312yes—
85C22×C3⋊Dic3C2311yescharacteristic
86C2×C3×#67—28no—
87C2×C3×#67—28no—
88C2×C3×#67—28no—
89C2×C3×#67C2318yes—
90C2×C3×#67C2318yes—
91C2×C3×#67C2318yes—
92C22×C3×Dic3C2312yes—
93C22×C3×Dic3C2311yescharacteristic
94C22×C3×Dic3C2311yescharacteristic
95C22×C3×Dic3C2311yescharacteristic
96C2×C3×D12—24no—
97C2×C3×D12C2314yes—
98C2×C3×C4×D3—24no—
99C2×C3×C4×D3C2314yes—
100C2×#627—28no—
101C2×#627C2318yes—
102C2×#625—28no—
103C2×#625C2318yes—
104#3805—264no—
105C2×D3×Dic3—28no—
106C2×D3×Dic3—24no—
107C2×D3×Dic3D418yescomplemented
108C2×D3×Dic3C2318yes—
109C2×D3×Dic3C2314yes—
110C2×D3×Dic3C2314yes—
111#3757C2318yes—
112C4⋊(C3⋊Dic3)C2314yes—
113C4×C3⋊Dic3C2314yes—
114C3×#217C2318yes—
115C3×C4⋊Dic3C2314yes—
116C3×C4×Dic3C2314yes—
117Dic3⋊Dic3C2318yes—
118(C2×D3)⋊Dic3C2318yes—
119(C2×D3)⋊Dic3C2318yes—
120Dic32C2314yes—
121Dic32C2314yes—
122C2×#532—91noSylow
123C22×C3×D4—21no—
124C22×C3×D4—32no—
125C22×C3×D4—32no—
126C22×C3×D4—32no—
127C22×C3×D4—31no—
128C22×C3×D4C2×D311yescharacteristic
129C22×C3×D4C2×D311yescharacteristic
130C23×C3×C4—31no—
131C22×#67—32no—
132C22×#67—32no—
133C22×#67C2×D312yes—
134C22×#67C2×D312yes—
135C22×#67C2×D312yes—
136C23×Dic3—31no—
137C23×Dic3—32no—
138C23×Dic3—32no—
139C23×Dic3—32no—
140C23×Dic3—31no—
141C23×Dic3—62no—
142C2×#237—316no—
143C2×#237—316no—
144C2×#237—616no—
145C2×#237—616no—
146C22×D12C2×D311yescharacteristic
147C22×C4×D3—31no—
148C22×C4×D3—32no—
149C22×C4×D3—31no—
150C22×C4×D3C2×D311yescharacteristic
151C22×Dic6—32no—
152C22×Dic6—32no—
153C3×#127—38no—
154C3×#121—38no—
155C2×C3×C4⋊C4—31no—
156C2×C3×C22⋊C4—32no—
157C2×C3×C42—31no—
158C2×#217—32no—
159C2×#217—32no—
160C2×#217—32no—
161C2×#217—32no—
162C2×#217—62no—
163C2×#217C2×D312yes—
164#940C2×D318yescomplemented
165#939—316no—
166#938—316no—
167#938—38no—
168#938C2×D318yescomplemented
169#936—316no—
170D4×Dic3—38no—
171D4×Dic3—38no—
172D4×Dic3—316no—
173D4×Dic3—38no—
174D4×Dic3—68no—
175#930—38no—
176C2×(C2×D3)⋊C4—32no—
177C2×(C2×D3)⋊C4—32no—
178C2×C4⋊Dic3—31no—
179C2×C4⋊Dic3—31no—
180C2×C4⋊Dic3—32no—
181C2×C4⋊Dic3—61no—
182C2×C4⋊Dic3C2×D311yescharacteristic
183C2×Dic3⋊C4—32no—
184C2×C4×Dic3—31no—
185C2×C4×Dic3—31no—
186C2×C4×Dic3—31no—
187C2×C4×Dic3—31no—
188C2×C4×Dic3—31no—
189C2×C4×Dic3—31no—
190C2×C4×Dic3—38no—
191C2×C4×Dic3—61no—
192C2×C4×Dic3C2×D311yescharacteristic
193#893—38no—
194#888—38no—
195#885—316no—
196#67⋊C4—316no—
197C42×D3—38no—
198#869—38no—
199C23×C32—24no—
200C23×C32—24no—
201C23×C32—24no—
202C23×C32C2414yes—
203C23×C32C2411yescharacteristic
204C22×C3×D3—22no—
205C22×C3×D3—22no—
206C22×C3×D3—24no—
207C22×C3×D3—24no—
208C22×C3×D3—24no—
209C22×C3×D3C2×D414yes—
210C22×C3×D3C2414yes—
211C22×C3×D3C2412yes—
212C32×D4—28no—
213C2×C32×C4#4114yescomplemented
214C2×C32×C4C2412yes—
215C2×C3⋊Dic3—24no—
216C2×C3⋊Dic3—22no—
217C2×C3⋊Dic3—216no—
218C2×C3⋊Dic3C2×D414yes—
219C2×C3⋊Dic3C2412yes—
220C2×C3⋊Dic3C2414yes—
221C2×C3⋊Dic3C2412yes—
222C3×#67—216no—
223C3×#67—216no—
224C3×#67—216no—
225C2×C3×Dic3—24no—
226C2×C3×Dic3—22no—
227C2×C3×Dic3C2×D414yes—
228C2×C3×Dic3#4114yescomplemented
229C2×C3×Dic3C2412yes—
230C2×C3×Dic3C2414yes—
231C2×C3×Dic3C2412yes—
232C2×C3×Dic3C2412yes—
233C3×D12—28no—
234C3×C4×D3—28no—
235#627—216no—
236#625—216no—
237D3×Dic3—216no—
238D3×Dic3—28no—
239D3×Dic3C2×D4116yescomplemented
240C22×#41—92no—
241#532—916no—
242C2×C4⋊Q8—91no—
243C2×#127—31no—
244C2×#124—92no—
245C2×#121—31no—
246C2×#121—91no—
247C2×#121—92no—
248C2×C4×D4—92no—
249C2×C4×D4—91no—
250C2×C4×D4—91no—
251C22×C42—91no—
252C24×C3—22no—
253C24×C3—31no—
254C24×C3—32no—
255C24×C3C22×D312yes—
256C24×C3C22×D312yes—
257C23×D3C22×D312yes—
258C23×D3C22×D311yescharacteristic
259C2×C3×D4—28no—
260C2×C3×D4—24no—
261C2×C3×D4—24no—
262C2×C3×D4—24no—
263C2×C3×D4—38no—
264C2×C3×D4—38no—
265C2×C3×D4—38no—
266C2×C3×D4—34no—
267C2×C3×D4—68no—
268C2×C3×D4—68no—
269C2×C3×D4—68no—
270C2×C3×D4—64no—
271C2×C3×D4C22×D314yes—
272C2×C3×D4C22×D314yes—
273C22×C3×C4—21no—
274C22×C3×C4—31no—
275C22×C3×C4—31no—
276C22×C3×C4—31no—
277C22×C3×C4—32no—
278C22×C3×C4—34no—
279C22×C3×C4—64no—
280C22×C3×C4C22×D311yescharacteristic
281C22×C3×C4C22×D311yescharacteristic
282C2×#67—28no—
283C2×#67—28no—
284C2×#67—28no—
285C2×#67—38no—
286C2×#67—38no—
287C2×#67—68no—
288C2×#67—68no—
289C2×#67C22×D318yes—
290C2×#67C22×D318yes—
291C2×#67C22×D318yes—
292C22×Dic3—31no—
293C22×Dic3—31no—
294C22×Dic3—38no—
295C22×Dic3—34no—
296C22×Dic3—38no—
297C22×Dic3—31no—
298C22×Dic3—31no—
299C22×Dic3—32no—
300C22×Dic3—32no—
301C22×Dic3—38no—
302C22×Dic3—34no—
303C22×Dic3—38no—
304C22×Dic3—61no—
305C22×Dic3—61no—
306C22×Dic3—62no—
307C22×Dic3—68no—
308C22×Dic3—68no—
309C22×Dic3—68no—
310C22×Dic3—68no—
311C22×Dic3—64no—
312C22×Dic3—128no—
313C22×Dic3C22×D311yescharacteristic
314C22×Dic3C22×D312yes—
315C22×Dic3C22×D311yescharacteristic
316C22×Dic3C22×D311yescharacteristic
317#237—664no—
318#237—664no—
319C2×D12—24no—
320C2×D12C22×D314yes—
321C2×C4×D3—24no—
322C2×C4×D3—38no—
323C2×C4×D3—34no—
324C2×C4×D3—34no—
325C2×C4×D3—38no—
326C2×C4×D3—68no—
327C2×C4×D3—64no—
328C2×C4×D3C22×D314yes—
329C2×Dic6—38no—
330C2×Dic6—38no—
331C2×Dic6—68no—
332C2×Dic6—68no—
333C3×C4⋊C4—34no—
334C3×C22⋊C4—38no—
335C3×C42—34no—
336#217—38no—
337#217—38no—
338#217—38no—
339#217—38no—
340#217—68no—
341#217C22×D318yes—
342(C2×D3)⋊C4—38no—
343(C2×D3)⋊C4—38no—
344C4⋊Dic3—34no—
345C4⋊Dic3—34no—
346C4⋊Dic3—38no—
347C4⋊Dic3—64no—
348C4⋊Dic3C22×D314yes—
349Dic3⋊C4—38no—
350C4×Dic3—34no—
351C4×Dic3—34no—
352C4×Dic3—34no—
353C4×Dic3—34no—
354C4×Dic3—34no—
355C4×Dic3—34no—
356C4×Dic3—64no—
357C4×Dic3C22×D314yes—
358C22×C32—24no—
359C22×C32—24no—
360C22×C32—24no—
361C22×C32—48no—
362C22×C32C22×D412yes—
363C22×C32C2×#4112yes—
364C22×C32C2×#4112yes—
365C22×C32C2511yescharacteristic
366C2×C3×D3—28no—
367C2×C3×D3—22no—
368C2×C3×D3—22no—
369C2×C3×D3—24no—
370C2×C3×D3—24no—
371C2×C3×D3—24no—
372C2×C3×D3—48no—
373C2×C3×D3C22×D414yes—
374C32×C4C2×#4114yescomplemented
375C3⋊Dic3—24no—
376C3⋊Dic3—22no—
377C3⋊Dic3C22×D414yes—
378C3×Dic3—24no—
379C3×Dic3—22no—
380C3×Dic3C22×D414yes—
381C3×Dic3C2×#4114yescomplemented
382C2×#41—916no—
383C2×#41—1816no—
384C22×Q8—92no—
385C22×D4—32no—
386C22×D4—32no—
387C22×D4—32no—
388C22×D4—31no—
389C22×D4—92no—
390C22×D4D3211yescharacteristic
391C23×C4—31no—
392C23×C4—91no—
393C23×C4—92no—
394C23×C4—91no—
395C23×C4—92no—
396C4⋊Q8—98no—
397#127—38no—
398#124—916no—
399#121—38no—
400#121—98no—
401#121—916no—
402C4×D4—916no—
403C4×D4—98no—
404C4×D4—98no—
405C2×C4⋊C4—31no—
406C2×C4⋊C4—92no—
407C2×C4⋊C4—91no—
408C2×C22⋊C4—32no—
409C2×C22⋊C4—92no—
410C2×C22⋊C4—92no—
411C2×C22⋊C4—92no—
412C2×C42—31no—
413C2×C42—98no—
414C2×C42—91no—
415C2×C42—91no—
416C2×C42—91no—
417C23×C3—28no—
418C23×C3—24no—
419C23×C3—24no—
420C23×C3—24no—
421C23×C3—24no—
422C23×C3—24no—
423C23×C3—24no—
424C23×C3—24no—
425C23×C3—21no—
426C23×C3—34no—
427C23×C3—32no—
428C23×C3—34no—
429C23×C3—44no—
430C23×C3—44no—
431C23×C3—62no—
432C23×C3—62no—
433C23×C3—64no—
434C23×C3—64no—
435C23×C3—64no—
436C23×C3C23×D314yes—
437C23×C3C23×D314yes—
438C23×C3C23×D311yescharacteristic
439C23×C3C23×D311yescharacteristic
440C22×D3—22no—
441C22×D3—22no—
442C22×D3—24no—
443C22×D3—24no—
444C22×D3—24no—
445C22×D3D3×D414yes—
446C22×D3C23×D314yes—
447C22×D3C23×D312yes—
448C3×D4—216no—
449C3×D4—28no—
450C3×D4—28no—
451C3×D4—616no—
452C3×D4—616no—
453C3×D4—616no—
454C3×D4—68no—
455C2×C3×C4—22no—
456C2×C3×C4—24no—
457C2×C3×C4—34no—
458C2×C3×C4—34no—
459C2×C3×C4—32no—
460C2×C3×C4—32no—
461C2×C3×C4—32no—
462C2×C3×C4—34no—
463C2×C3×C4—64no—
464C2×C3×C4—62no—
465C2×C3×C4—68no—
466C2×C3×C4#23714yescomplemented
467C2×C3×C4#23714yescomplemented
468C2×C3×C4C23×D312yes—
469C2×C3×C4C23×D312yes—
470#67—216no—
471#67—216no—
472#67—216no—
473#67—616no—
474#67—616no—
475C2×Dic3—24no—
476C2×Dic3—22no—
477C2×Dic3—34no—
478C2×Dic3—34no—
479C2×Dic3—32no—
480C2×Dic3—32no—
481C2×Dic3—316no—
482C2×Dic3—32no—
483C2×Dic3—32no—
484C2×Dic3—34no—
485C2×Dic3—34no—
486C2×Dic3—64no—
487C2×Dic3—62no—
488C2×Dic3—62no—
489C2×Dic3—64no—
490C2×Dic3—616no—
491C2×Dic3—616no—
492C2×Dic3—616no—
493C2×Dic3—64no—
494C2×Dic3—64no—
495C2×Dic3—62no—
496C2×Dic3—62no—
497C2×Dic3—68no—
498C2×Dic3—1216no—
499C2×Dic3—122no—
500C2×Dic3—124no—
501C2×Dic3D3×D414yes—
502C2×Dic3#23714yescomplemented
503C2×Dic3C23×D312yes—
504C2×Dic3C23×D314yes—
505C2×Dic3C23×D312yes—
506C2×Dic3C23×D312yes—
507D12—28no—
508C4×D3—28no—
509C4×D3—316no—
510C4×D3—616no—
511C4×D3—68no—
512Dic6—616no—
513Dic6—616no—
514C2×C32—44no—
515C2×C32#53214yescomplemented
516C2×C32C23×D411yescharacteristic
517C2×C32C22×#4111yescharacteristic
518C2×C32C22×#4111yescharacteristic
519C3×D3—24no—
520C3×D3—44no—
521C24—31no—
522C24—32no—
523C24C2×D3212yes—
524#41—1864no—
525C2×Q8—98no—
526C2×Q8—188no—
527C2×D4—24no—
528C2×D4—38no—
529C2×D4—38no—
530C2×D4—38no—
531C2×D4—34no—
532C2×D4—68no—
533C2×D4—68no—
534C2×D4—68no—
535C2×D4—64no—
536C2×D4—98no—
537C2×D4—188no—
538C2×D4C2×D3214yes—
539C22×C4—31no—
540C22×C4—31no—
541C22×C4—31no—
542C22×C4—32no—
543C22×C4—34no—
544C22×C4—64no—
545C22×C4—94no—
546C22×C4—98no—
547C22×C4—94no—
548C22×C4—98no—
549C22×C4—91no—
550C22×C4—98no—
551C22×C4—91no—
552C22×C4—92no—
553C22×C4—184no—
554C22×C4—188no—
555C22×C4—188no—
556C22×C4C2×D3211yescharacteristic
557C4⋊C4—34no—
558C4⋊C4—98no—
559C4⋊C4—94no—
560C22⋊C4—38no—
561C22⋊C4—98no—
562C22⋊C4—98no—
563C22⋊C4—98no—
564C42—34no—
565C42—94no—
566C42—94no—
567C42—94no—
568C22×C3—28no—
569C22×C3—24no—
570C22×C3—24no—
571C22×C3—24no—
572C22×C3—24no—
573C22×C3—24no—
574C22×C3—24no—
575C22×C3—22no—
576C22×C3—22no—
577C22×C3—22no—
578C22×C3—21no—
579C22×C3—34no—
580C22×C3—44no—
581C22×C3—44no—
582C22×C3—416no—
583C22×C3—48no—
584C22×C3—48no—
585C22×C3—62no—
586C22×C3—62no—
587C22×C3—68no—
588C22×C3—64no—
589C22×C3—64no—
590C22×C3—64no—
591C22×C3—128no—
592C22×C3C2×D3×D412yes—
593C22×C3C2×D3×D412yes—
594C22×C3C2×#23712yes—
595C22×C3C2×#23712yes—
596C22×C3C2×#23712yes—
597C22×C3D3×#4112yes—
598C22×C3C24×D311yescharacteristic
599C22×C3C24×D311yescharacteristic
600C2×D3—22no—
601C2×D3—22no—
602C2×D3—28no—
603C2×D3—24no—
604C2×D3—24no—
605C2×D3—24no—
606C2×D3—48no—
607C2×D3C2×D3×D414yes—
608C3×C4—24no—
609C3×C4—34no—
610C3×C4—34no—
611C3×C4—64no—
612C3×C4—62no—
613C3×C4C2×#23714yescomplemented
614C3×C4C2×#23714yescomplemented
615Dic3—24no—
616Dic3—22no—
617Dic3—34no—
618Dic3—34no—
619Dic3—64no—
620Dic3—64no—
621Dic3—64no—
622Dic3—62no—
623Dic3—62no—
624Dic3—124no—
625Dic3—122no—
626Dic3C2×D3×D414yes—
627Dic3C2×#23714yescomplemented
628C32C2×#53211yescharacteristic, complemented, Sylow
629C23—24no—
630C23—24no—
631C23—24no—
632C23—34no—
633C23—32no—
634C23—34no—
635C23—62no—
636C23—62no—
637C23—64no—
638C23—64no—
639C23—64no—
640C23C22×D3214yes—
641C23C22×D3211yescharacteristic
642Q8—1816no—
643D4—28no—
644D4—616no—
645D4—616no—
646D4—616no—
647D4—68no—
648D4—1816no—
649C2×C4—34no—
650C2×C4—34no—
651C2×C4—32no—
652C2×C4—32no—
653C2×C4—32no—
654C2×C4—34no—
655C2×C4—64no—
656C2×C4—62no—
657C2×C4—68no—
658C2×C4—916no—
659C2×C4—94no—
660C2×C4—92no—
661C2×C4—92no—
662C2×C4—94no—
663C2×C4—188no—
664C2×C4—1816no—
665C2×C4—1816no—
666C2×C4—184no—
667C2×C4—182no—
668C2×C4#380514yescomplemented
669C2×C4C22×D3212yes—
670C2×C3—24no—
671C2×C3—21no—
672C2×C3—21no—
673C2×C3—21no—
674C2×C3—48no—
675C2×C3—44no—
676C2×C3—44no—
677C2×C3—64no—
678C2×C3—124no—
679C2×C3#559614yescomplemented
680C2×C3#571614yescomplemented
681C2×C3C22×D3×D411yescharacteristic
682C2×C3C22×D3×D411yescharacteristic
683C2×C3C22×#23711yescharacteristic
684C2×C3C22×#23711yescharacteristic
685C2×C3C22×#23711yescharacteristic
686C2×C3C2×D3×#4111yescharacteristic
687D3—24no—
688D3—44no—
689C22—24no—
690C22—24no—
691C22—24no—
692C22—34no—
693C22—48no—
694C22—68no—
695C22—62no—
696C22—62no—
697C22—64no—
698C22—64no—
699C22—64no—
700C22—128no—
701C22D32×D412yes—
702C22D3×#23712yes—
703C22C2×#380512yes—
704C22C23×D3211yescharacteristic
705C4—34no—
706C4—34no—
707C4—64no—
708C4—62no—
709C4—94no—
710C4—184no—
711C4—182no—
712C4C2×#380514yescomplemented
713C3—21no—
714C3C2×#559611yescharacteristic, complemented
715C3C2×#571611yescharacteristic, complemented
716C2—44no—
717C2—64no—
718C2—124no—
719C2#1059513314yesdirect product factor
720C2C2×D32×D411yescharacteristic
721C2C2×D3×#23711yescharacteristic
722C2C22×#380511yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC22×C32×D4C22
socleC23×C32C24
hypercenterC22×D4D32
hypocenterC32C2×#532
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C22×#3805C2semidirect
2. C2×D4×C3⋊Dic3C2semidirect
3. C2×C3×#940C2semidirect
4. C2×C3×#938C2semidirect
5. C2×#67⋊Dic3C2semidirect
6. C2×#63970C2semidirect
7. C2×#63959C2semidirect
8. #10595133C2direct (N × H)
9. C2×#63918C2semidirect
10. C2×#63908C2semidirect
11. C2×#63898C2semidirect
12. C2×C4×D3×Dic3C2semidirect
25. C2×#3805C22semidirect
30. D4×C3⋊Dic3C22semidirect
34. C3×#940C22semidirect
35. C3×#938C22semidirect
38. #67⋊Dic3C22semidirect
39. #63970C22semidirect
43. #63959C22semidirect
46. #63918C22semidirect
47. #63908C22semidirect
48. #63898C22semidirect
49. C4×D3×Dic3C22semidirect
54. C2×#940D3semidirect
58. C2×#938D3semidirect
107. C2×D3×Dic3D4semidirect
164. #940C2×D3semidirect
168. #938C2×D3semidirect
213. C2×C32×C4#41semidirect
228. C2×C3×Dic3#41semidirect
239. D3×Dic3C2×D4semidirect
374. C32×C4C2×#41semidirect
381. C3×Dic3C2×#41semidirect
466. C2×C3×C4#237semidirect
467. C2×C3×C4#237semidirect
502. C2×Dic3#237semidirect
515. C2×C32#532semidirect
613. C3×C4C2×#237semidirect
614. C3×C4C2×#237semidirect
627. Dic3C2×#237semidirect
628. C32C2×#532semidirect
668. C2×C4#3805semidirect
679. C2×C3#5596semidirect
680. C2×C3#5716semidirect
712. C4C2×#3805semidirect
714. C3C2×#5596semidirect
715. C3C2×#5716semidirect
719. C2#10595133direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#38052
C2×D4×C3⋊Dic32
C2×C3×#9402
C2×C3×#9382
C2×#67⋊Dic32
C2×#639702
C2×#639592
#105951332
C2×#639182
C2×#639082
C2×#638982
C2×C4×D3×Dic32
C2×#57163
C2×#55963