Finite Group Databasebeta

← C2×#10595262 #11910218

Subgroups — C2×#10595262 #11910218

Order 1152.

3147 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#64146C211yesmaximal, characteristic, complemented
2C2×C3×#937C211yesmaximal, characteristic, complemented
3C2×C3×#936C211yesmaximal, characteristic, complemented
4C2×#63981C212yesmaximal, complemented
5C2×#63977C212yesmaximal, complemented
6C2×#63959C212yesmaximal, complemented
7C2×#63953C212yesmaximal, complemented
8#10595262C2116yesmaximal, direct product factor
9C2×#63907C212yesmaximal, complemented
10C2×#63852C212yesmaximal, complemented
11C2×#5683—31nomaximal
12C2×#5594—31nomaximal
13C24×C3⋊D3C2211yescharacteristic, complemented
14C24×C3×D3C2211yescharacteristic, complemented
15C22×C32×D4C2211yescharacteristic
16C22×#638C2212yes—
17C22×C3×#67C2212yes—
18C22×C3×Dic6C2211yescharacteristic, complemented
19C22×#627C2212yescomplemented
20C22×#626C2212yes—
21C22×#626C2212yes—
22C2×#3757C2211yescharacteristic, complemented
23#64146C2218yescomplemented
24C2×#3752C2212yescomplemented
25C2×C3×#217C2212yescomplemented
26C2×C3×#217C2212yescomplemented
27C2×C3×#217C2211yescharacteristic, complemented
28C3×#937C2218yescomplemented
29C3×#936C2218yescomplemented
30C2×C3×(C2×D3)⋊C4C2212yescomplemented
31C2×C3×C4×Dic3C2211yescharacteristic, complemented
32#63981C22116yescomplemented
33#63977C22116yescomplemented
34C2×#3722C2212yescomplemented
35C2×#3722C2212yescomplemented
36C2×(C2×D3)⋊Dic3C2212yescomplemented
37C2×(C2×D3)⋊Dic3C2212yescomplemented
38#63959C22116yescomplemented
39C2×Dic32C2212yescomplemented
40#63953C22116yescomplemented
41#63907C22116yescomplemented
42#63852C22116yescomplemented
43C2×C3×#124—31no—
44C2×C3×#120—31no—
45C2×#953—32no—
46C2×#947—32no—
47C2×#937—31no—
48C2×#937—31no—
49C2×#937—32no—
50C2×#937—61no—
51C2×#937D311yescharacteristic, complemented
52C2×#936—32no—
53C2×#936D311yescharacteristic, complemented
54#5683—316no—
55#5594—316no—
56C2×#885—32no—
57C2×#885—32no—
58C2×#885—32no—
59C2×#885—32no—
60C2×#885—32no—
61C2×#882—32no—
62C2×#882—32no—
63C2×#875—32no—
64C24×C32C2311yescharacteristic
65C24×C32C2311yescharacteristic
66C23×C3⋊D3—44no—
67C23×C3⋊D3—42no—
68C23×C3⋊D3C2312yes—
69C23×C3⋊D3C2314yescomplemented
70C23×C3×D3—42no—
71C23×C3×D3—44no—
72C23×C3×D3C2312yes—
73C23×C3×D3C2314yescomplemented
74C2×C32×D4—42no—
75C2×C32×D4C2314yes—
76C22×C32×C4C2311yescharacteristic
77C2×#638—44no—
78C2×#638C2318yes—
79C22×C3⋊Dic3C2312yes—
80C2×C3×#67—44no—
81C2×C3×#67C2318yes—
82C22×C3×Dic3C2312yes—
83C22×C3×Dic3C2312yes—
84C22×C3×Dic3C2312yes—
85C2×C3×Dic6—42no—
86C2×C3×Dic6C2314yescomplemented
87C2×#627—44no—
88C2×#627C2318yescomplemented
89C2×#626—44no—
90C2×#626—44no—
91C2×#626C2318yes—
92C2×#626C2318yes—
93#3757C2314yescomplemented
94#3752C2318yescomplemented
95C3×#217C2318yescomplemented
96C3×#217C2318yescomplemented
97C3×#217C2314yescomplemented
98C3×(C2×D3)⋊C4C2318yescomplemented
99C3×C4×Dic3C2314yescomplemented
100#3722C2318yescomplemented
101#3722C2318yescomplemented
102(C2×D3)⋊Dic3C2318yescomplemented
103(C2×D3)⋊Dic3C2318yescomplemented
104Dic32C2318yescomplemented
105C2×H(3,𝔽4)—91noSylow
106C25×C3—31no—
107C24×D3—31no—
108C24×D3—31no—
109C24×D3—61no—
110C24×D3C2×D311yescharacteristic, complemented
111C22×C3×Q8—31no—
112C22×C3×D4—21no—
113C22×C3×D4—32no—
114C22×C3×D4C2×D311yescharacteristic
115C22×C3×D4C2×D311yescharacteristic
116C22×#67—32no—
117C22×#67—32no—
118C22×#67—32no—
119C22×#67—32no—
120C22×#67—62no—
121C22×#67C2×D312yes—
122C22×D12—32no—
123C22×D12—32no—
124C22×Dic6—32no—
125C22×Dic6—32no—
126C22×Dic6C2×D311yescharacteristic, complemented
127C3×#124—38no—
128C3×#120—38no—
129C2×C3×C22⋊C4—32no—
130C2×C3×C22⋊C4—32no—
131C2×C3×C22⋊C4—31no—
132C2×C3×C22⋊C4—32no—
133C2×C3×C42—31no—
134#953—316no—
135C2×#217—31no—
136C2×#217—31no—
137C2×#217—32no—
138C2×#217—32no—
139C2×#217—61no—
140C2×#217C2×D311yescharacteristic, complemented
141C2×#217C2×D312yescomplemented
142C2×#217C2×D312yescomplemented
143#947—316no—
144#937—38no—
145#937—38no—
146#937—316no—
147#937—68no—
148#937C2×D318yescomplemented
149#936—316no—
150#936C2×D318yescomplemented
151C2×(C2×D3)⋊C4—32no—
152C2×(C2×D3)⋊C4—32no—
153C2×(C2×D3)⋊C4—32no—
154C2×(C2×D3)⋊C4—32no—
155C2×(C2×D3)⋊C4—32no—
156C2×(C2×D3)⋊C4—32no—
157C2×(C2×D3)⋊C4—32no—
158C2×(C2×D3)⋊C4—32no—
159C2×(C2×D3)⋊C4—62no—
160C2×(C2×D3)⋊C4C2×D312yescomplemented
161C2×C4×Dic3—32no—
162C2×C4×Dic3—32no—
163C2×C4×Dic3C2×D311yescharacteristic, complemented
164#885—316no—
165#885—316no—
166#885—316no—
167#885—316no—
168#885—316no—
169#882—316no—
170#882—316no—
171#875—316no—
172C23×C32—22no—
173C23×C32—24no—
174C23×C32—22no—
175C23×C32—24no—
176C23×C32C2412yes—
177C23×C32C2412yes—
178C23×C32C2411yescharacteristic
179C22×C3⋊D3—24no—
180C22×C3⋊D3—24no—
181C22×C3⋊D3—24no—
182C22×C3⋊D3—48no—
183C22×C3⋊D3—44no—
184C22×C3⋊D3—416no—
185C22×C3⋊D3C2414yes—
186C22×C3×D3—24no—
187C22×C3×D3—24no—
188C22×C3×D3—24no—
189C22×C3×D3—44no—
190C22×C3×D3—48no—
191C22×C3×D3—416no—
192C22×C3×D3C2414yes—
193C32×D4—44no—
194C2×C32×C4—22no—
195C2×C32×C4C2412yes—
196#638—48no—
197C2×C3⋊Dic3—24no—
198C2×C3⋊Dic3C2414yes—
199C3×#67—48no—
200C2×C3×Dic3—24no—
201C2×C3×Dic3—24no—
202C2×C3×Dic3—24no—
203C2×C3×Dic3C2414yes—
204C2×C3×Dic3C2414yes—
205C2×C3×Dic3C2414yes—
206C3×Dic6—44no—
207#627—48no—
208#626—48no—
209#626—48no—
210H(3,𝔽4)—916no—
211C2×#124—31no—
212C2×#124—92no—
213C2×#124—92no—
214C2×#124—92no—
215C2×#124—92no—
216C2×#120—31no—
217C2×#120—92no—
218C2×#120—92no—
219C2×#120—91no—
220C24×C3—21no—
221C24×C3—21no—
222C24×C3—32no—
223C24×C3—34no—
224C24×C3—122no—
225C24×C3—124no—
226C24×C3C22×D311yescharacteristic
227C24×C3C22×D311yescharacteristic
228C24×C3C22×D311yescharacteristic
229C24×C3C22×D311yescharacteristic
230C23×D3—32no—
231C23×D3—32no—
232C23×D3—34no—
233C23×D3—34no—
234C23×D3—42no—
235C23×D3—44no—
236C23×D3—62no—
237C23×D3—64no—
238C23×D3—122no—
239C23×D3—124no—
240C23×D3—122no—
241C23×D3—124no—
242C23×D3—128no—
243C23×D3—124no—
244C23×D3C22×D312yes—
245C23×D3C22×D314yescomplemented
246C2×C3×Q8—34no—
247C2×C3×Q8—122no—
248C2×C3×D4—24no—
249C2×C3×D4—38no—
250C2×C3×D4—42no—
251C2×C3×D4—42no—
252C2×C3×D4—44no—
253C2×C3×D4—124no—
254C2×C3×D4C22×D314yes—
255C2×C3×D4C22×D314yes—
256C22×C3×C4—21no—
257C22×C3×C4—32no—
258C22×C3×C4—32no—
259C22×C3×C4—32no—
260C22×C3×C4C22×D311yescharacteristic
261C22×C3×C4C22×D311yescharacteristic
262C2×#67—38no—
263C2×#67—38no—
264C2×#67—38no—
265C2×#67—38no—
266C2×#67—44no—
267C2×#67—68no—
268C2×#67—124no—
269C2×#67—124no—
270C2×#67—124no—
271C2×#67—124no—
272C2×#67—128no—
273C2×#67C22×D318yes—
274C22×Dic3—32no—
275C22×Dic3—32no—
276C22×Dic3—62no—
277C22×Dic3C22×D312yes—
278C22×Dic3C22×D312yes—
279C22×Dic3C22×D312yes—
280C2×D12—38no—
281C2×D12—38no—
282C2×D12—124no—
283C2×D12—124no—
284C2×Dic6—38no—
285C2×Dic6—38no—
286C2×Dic6—42no—
287C2×Dic6—124no—
288C2×Dic6—124no—
289C2×Dic6C22×D314yescomplemented
290C3×C22⋊C4—38no—
291C3×C22⋊C4—38no—
292C3×C22⋊C4—34no—
293C3×C22⋊C4—38no—
294C3×C42—34no—
295#217—34no—
296#217—34no—
297#217—38no—
298#217—38no—
299#217—64no—
300#217C22×D314yescomplemented
301#217C22×D318yescomplemented
302#217C22×D318yescomplemented
303(C2×D3)⋊C4—38no—
304(C2×D3)⋊C4—38no—
305(C2×D3)⋊C4—38no—
306(C2×D3)⋊C4—38no—
307(C2×D3)⋊C4—38no—
308(C2×D3)⋊C4—38no—
309(C2×D3)⋊C4—38no—
310(C2×D3)⋊C4—38no—
311(C2×D3)⋊C4—68no—
312(C2×D3)⋊C4C22×D318yescomplemented
313C4×Dic3—38no—
314C4×Dic3—38no—
315C4×Dic3C22×D314yescomplemented
316C22×C32—22no—
317C22×C32—24no—
318C22×C32—24no—
319C22×C32—22no—
320C22×C32—44no—
321C22×C32—44no—
322C22×C32H(5,𝔽2)12yes—
323C22×C32H(5,𝔽2)14yes—
324C22×C32C2511yescharacteristic
325C2×C3⋊D3—24no—
326C2×C3⋊D3—24no—
327C2×C3⋊D3—24no—
328C2×C3⋊D3—416no—
329C2×C3⋊D3—48no—
330C2×C3×D3—24no—
331C2×C3×D3—24no—
332C2×C3×D3—24no—
333C2×C3×D3—416no—
334C2×C3×D3—48no—
335C32×C4—22no—
336C3⋊Dic3—24no—
337C3×Dic3—24no—
338C3×Dic3—24no—
339C3×Dic3—24no—
340C25—31no—
341C25—91no—
342C22×Q8—31no—
343C22×Q8—92no—
344C22×D4—32no—
345C22×D4—92no—
346C22×D4—92no—
347C22×D4—92no—
348C22×D4D3211yescharacteristic
349#124—38no—
350#124—916no—
351#124—916no—
352#124—916no—
353#124—916no—
354#120—38no—
355#120—916no—
356#120—916no—
357#120—98no—
358C2×C22⋊C4—31no—
359C2×C22⋊C4—32no—
360C2×C22⋊C4—32no—
361C2×C22⋊C4—32no—
362C2×C22⋊C4—92no—
363C2×C22⋊C4—92no—
364C2×C22⋊C4—92no—
365C2×C22⋊C4—92no—
366C2×C22⋊C4—91no—
367C2×C22⋊C4—92no—
368C2×C42—31no—
369C2×C42—92no—
370C23×C3—24no—
371C23×C3—24no—
372C23×C3—24no—
373C23×C3—22no—
374C23×C3—22no—
375C23×C3—22no—
376C23×C3—22no—
377C23×C3—24no—
378C23×C3—24no—
379C23×C3—22no—
380C23×C3—22no—
381C23×C3—21no—
382C23×C3—34no—
383C23×C3—44no—
384C23×C3—44no—
385C23×C3—42no—
386C23×C3—64no—
387C23×C3—64no—
388C23×C3—64no—
389C23×C3—124no—
390C23×C3—128no—
391C23×C3—1216no—
392C23×C3C23×D312yes—
393C23×C3C23×D312yes—
394C23×C3C23×D312yes—
395C23×C3C23×D312yes—
396C23×C3C23×D311yescharacteristic
397C23×C3C23×D311yescharacteristic
398C22×D3—24no—
399C22×D3—24no—
400C22×D3—24no—
401C22×D3—34no—
402C22×D3—34no—
403C22×D3—44no—
404C22×D3—48no—
405C22×D3—416no—
406C22×D3—64no—
407C22×D3—68no—
408C22×D3—64no—
409C22×D3—64no—
410C22×D3—64no—
411C22×D3—64no—
412C22×D3—64no—
413C22×D3—64no—
414C22×D3—124no—
415C22×D3—124no—
416C22×D3—124no—
417C22×D3—128no—
418C22×D3—124no—
419C22×D3—128no—
420C22×D3—1216no—
421C22×D3—128no—
422C22×D3—1232no—
423C22×D3—1216no—
424C22×D3—1216no—
425C22×D3C23×D314yes—
426C3×Q8—124no—
427C3×D4—44no—
428C3×D4—44no—
429C3×D4—48no—
430C3×D4—128no—
431C2×C3×C4—22no—
432C2×C3×C4—22no—
433C2×C3×C4—22no—
434C2×C3×C4—34no—
435C2×C3×C4—34no—
436C2×C3×C4—34no—
437C2×C3×C4—42no—
438C2×C3×C4—64no—
439C2×C3×C4—64no—
440C2×C3×C4—64no—
441C2×C3×C4C23×D312yes—
442C2×C3×C4C23×D312yes—
443#67—48no—
444#67—128no—
445#67—128no—
446#67—128no—
447#67—128no—
448#67—1216no—
449C2×Dic3—24no—
450C2×Dic3—24no—
451C2×Dic3—24no—
452C2×Dic3—34no—
453C2×Dic3—34no—
454C2×Dic3—64no—
455C2×Dic3—64no—
456C2×Dic3—64no—
457C2×Dic3—124no—
458C2×Dic3C23×D314yes—
459C2×Dic3C23×D314yes—
460C2×Dic3C23×D314yes—
461D12—128no—
462D12—128no—
463Dic6—44no—
464Dic6—128no—
465Dic6—128no—
466C2×C32—42no—
467C2×C32—42no—
468C2×C32H(3,𝔽4)14yescomplemented
469C2×C32C2×H(5,𝔽2)11yescharacteristic
470C2×C32C2×H(5,𝔽2)12yes—
471C3⋊D3—44no—
472C3×D3—44no—
473C24—32no—
474C24—34no—
475C24—92no—
476C24—94no—
477C24—124no—
478C24—122no—
479C24—364no—
480C24—362no—
481C24C2×D3211yescharacteristic
482C24C2×D3211yescharacteristic
483C2×Q8—34no—
484C2×Q8—98no—
485C2×Q8—122no—
486C2×Q8—364no—
487C2×D4—38no—
488C2×D4—42no—
489C2×D4—98no—
490C2×D4—98no—
491C2×D4—98no—
492C2×D4—124no—
493C2×D4—364no—
494C2×D4—364no—
495C2×D4—364no—
496C2×D4C2×D3214yes—
497C22×C4—32no—
498C22×C4—32no—
499C22×C4—32no—
500C22×C4—92no—
501C22×C4C2×D3211yescharacteristic
502C22⋊C4—34no—
503C22⋊C4—38no—
504C22⋊C4—38no—
505C22⋊C4—38no—
506C22⋊C4—98no—
507C22⋊C4—98no—
508C22⋊C4—98no—
509C22⋊C4—98no—
510C22⋊C4—94no—
511C22⋊C4—98no—
512C42—34no—
513C42—98no—
514C22×C3—24no—
515C22×C3—24no—
516C22×C3—24no—
517C22×C3—22no—
518C22×C3—22no—
519C22×C3—22no—
520C22×C3—22no—
521C22×C3—24no—
522C22×C3—24no—
523C22×C3—24no—
524C22×C3—22no—
525C22×C3—21no—
526C22×C3—44no—
527C22×C3—44no—
528C22×C3—42no—
529C22×C3—48no—
530C22×C3—44no—
531C22×C3—44no—
532C22×C3—44no—
533C22×C3—44no—
534C22×C3—64no—
535C22×C3—64no—
536C22×C3—64no—
537C22×C3—84no—
538C22×C3—1216no—
539C22×C3—128no—
540C22×C3#100414yes—
541C22×C3#100412yes—
542C22×C3#100412yes—
543C22×C3#100914yes—
544C22×C3C24×D311yescharacteristic
545C22×C3C24×D311yescharacteristic
546C2×D3—24no—
547C2×D3—24no—
548C2×D3—24no—
549C2×D3—416no—
550C2×D3—48no—
551C2×D3—68no—
552C2×D3—64no—
553C2×D3—64no—
554C2×D3—64no—
555C2×D3—64no—
556C2×D3—64no—
557C2×D3—64no—
558C2×D3—124no—
559C2×D3—124no—
560C2×D3—1216no—
561C2×D3—1232no—
562C2×D3—1216no—
563C2×D3—1216no—
564C2×D3—128no—
565C2×D3—128no—
566C3×C4—22no—
567C3×C4—22no—
568C3×C4—42no—
569C3×C4—64no—
570C3×C4—64no—
571C3×C4—64no—
572Dic3—24no—
573Dic3—24no—
574Dic3—24no—
575Dic3—64no—
576Dic3—64no—
577Dic3—124no—
578C32C2×H(3,𝔽4)11yescharacteristic, complemented, Sylow
579C23—24no—
580C23—24no—
581C23—22no—
582C23—22no—
583C23—34no—
584C23—64no—
585C23—64no—
586C23—64no—
587C23—94no—
588C23—128no—
589C23—124no—
590C23—1216no—
591C23—184no—
592C23—184no—
593C23—184no—
594C23—368no—
595C23—364no—
596C23—3616no—
597C23C22×D3212yes—
598C23C22×D3212yes—
599C23C22×D3211yescharacteristic
600Q8—124no—
601Q8—368no—
602D4—44no—
603D4—128no—
604D4—368no—
605D4—368no—
606D4—368no—
607C2×C4—22no—
608C2×C4—34no—
609C2×C4—34no—
610C2×C4—34no—
611C2×C4—64no—
612C2×C4—64no—
613C2×C4—64no—
614C2×C4—94no—
615C2×C4—184no—
616C2×C4C22×D3212yes—
617C2×C3—22no—
618C2×C3—21no—
619C2×C3—24no—
620C2×C3—44no—
621C2×C3—42no—
622C2×C3—42no—
623C2×C3—42no—
624C2×C3—42no—
625C2×C3—82no—
626C2×C3—124no—
627C2×C3#559414yescomplemented
628C2×C3#568314yescomplemented
629C2×C3C2×#100412yes—
630C2×C3C2×#100411yescharacteristic
631C2×C3C2×#100411yescharacteristic
632C2×C3C2×#100912yes—
633D3—44no—
634D3—128no—
635D3—124no—
636D3—124no—
637C22—24no—
638C22—24no—
639C22—22no—
640C22—22no—
641C22—44no—
642C22—44no—
643C22—64no—
644C22—64no—
645C22—64no—
646C22—1216no—
647C22—128no—
648C22—184no—
649C22—184no—
650C22—184no—
651C22—3616no—
652C22—368no—
653C22#6431414yes—
654C22#6433012yes—
655C22C23×D3211yescharacteristic
656C4—22no—
657C4—64no—
658C4—64no—
659C4—64no—
660C4—184no—
661C3—21no—
662C3C2×#559411yescharacteristic, complemented
663C3C2×#568311yescharacteristic, complemented
664C2—42no—
665C2—42no—
666C2—124no—
667C2—364no—
668C2#1059526214yesdirect product factor
669C2C2×#6431412yes—
670C2C2×#6433011yescharacteristic
subgroupG/H
centerC23C22×D32
commutator, cosocleC22×C32C25
FrattiniC22C23×D32
FittingC22×C32×D4C22
socleC23×C32C24
hypercenterC22×D4D32
hypocenterC32C2×H(3,𝔽4)
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C2×#64146C2semidirect
2. C2×C3×#937C2semidirect
3. C2×C3×#936C2semidirect
4. C2×#63981C2semidirect
5. C2×#63977C2semidirect
6. C2×#63959C2semidirect
7. C2×#63953C2semidirect
8. #10595262C2direct (N × H)
9. C2×#63907C2semidirect
10. C2×#63852C2semidirect
13. C24×C3⋊D3C22semidirect
14. C24×C3×D3C22semidirect
18. C22×C3×Dic6C22semidirect
19. C22×#627C22semidirect
22. C2×#3757C22semidirect
23. #64146C22semidirect
24. C2×#3752C22semidirect
25. C2×C3×#217C22semidirect
26. C2×C3×#217C22semidirect
27. C2×C3×#217C22semidirect
28. C3×#937C22semidirect
29. C3×#936C22semidirect
30. C2×C3×(C2×D3)⋊C4C22semidirect
31. C2×C3×C4×Dic3C22semidirect
32. #63981C22semidirect
33. #63977C22semidirect
34. C2×#3722C22semidirect
35. C2×#3722C22semidirect
36. C2×(C2×D3)⋊Dic3C22semidirect
37. C2×(C2×D3)⋊Dic3C22semidirect
38. #63959C22semidirect
39. C2×Dic32C22semidirect
40. #63953C22semidirect
41. #63907C22semidirect
42. #63852C22semidirect
51. C2×#937D3semidirect
53. C2×#936D3semidirect
69. C23×C3⋊D3C23semidirect
73. C23×C3×D3C23semidirect
86. C2×C3×Dic6C23semidirect
88. C2×#627C23semidirect
93. #3757C23semidirect
94. #3752C23semidirect
95. C3×#217C23semidirect
96. C3×#217C23semidirect
97. C3×#217C23semidirect
98. C3×(C2×D3)⋊C4C23semidirect
99. C3×C4×Dic3C23semidirect
100. #3722C23semidirect
101. #3722C23semidirect
102. (C2×D3)⋊Dic3C23semidirect
103. (C2×D3)⋊Dic3C23semidirect
104. Dic32C23semidirect
110. C24×D3C2×D3semidirect
126. C22×Dic6C2×D3semidirect
140. C2×#217C2×D3semidirect
141. C2×#217C2×D3semidirect
142. C2×#217C2×D3semidirect
148. #937C2×D3semidirect
150. #936C2×D3semidirect
160. C2×(C2×D3)⋊C4C2×D3semidirect
163. C2×C4×Dic3C2×D3semidirect
245. C23×D3C22×D3semidirect
289. C2×Dic6C22×D3semidirect
300. #217C22×D3semidirect
301. #217C22×D3semidirect
302. #217C22×D3semidirect
312. (C2×D3)⋊C4C22×D3semidirect
315. C4×Dic3C22×D3semidirect
468. C2×C32H(3,𝔽4)semidirect
578. C32C2×H(3,𝔽4)semidirect
627. C2×C3#5594semidirect
628. C2×C3#5683semidirect
662. C3C2×#5594semidirect
663. C3C2×#5683semidirect
668. C2#10595262direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#641462
C2×C3×#9372
C2×C3×#9362
C2×#639812
C2×#639772
C2×#639592
C2×#639532
#105952622
C2×#639072
C2×#638522
C2×#56833
C2×#55943