Finite Group Databasebeta

← C2×#11722492 #13164723

Subgroups — C2×#11722492 #13164723

Order 1728.

3307 conjugacy classes of subgroups.

The subgroup lattice has 634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#88740C211yesmaximal, characteristic, complemented
2C2×#3828⋊C3C211yesmaximal, characteristic, complemented
3C22×C4⋊((C3⋊D3)⋊C3)C211yesmaximal, characteristic, complemented
4C2×#88676C214yesmaximal, complemented
5#11722492C2116yesmaximal, direct product factor
6C2×#88655C212yesmaximal, complemented
7C2×#88654C212yesmaximal, complemented
8C2×#88649C212yesmaximal, complemented
9C2×#88648C212yesmaximal, complemented
10C2×#64308—31nomaximal
11C2×#64307—31nomaximal
12C23×(C3⋊D3)⋊C3C2212yescomplemented
13C22×((C3⋊D3)⋊C3)⋊C2C2214yescomplemented
14C22×C4×H(3,𝔽3)C2211yescharacteristic, complemented
15C2×#6235C2212yescomplemented
16#88740C2218yescomplemented
17C2×C4⋊#272C2211yescharacteristic, complemented
18C2×C4×#272C2212yescomplemented
19C2×#6229C2211yescharacteristic, complemented
20C2×#638⋊C3C2212yescomplemented
21#3828⋊C3C2218yescomplemented
22C2×C4⋊((C3⋊D3)⋊C3)C2212yescomplemented
23C2×C4⋊((C3⋊D3)⋊C3)C2212yescomplemented
24C2×C4⋊((C3⋊D3)⋊C3)C2211yescharacteristic, complemented
25C2×C4⋊((C3⋊D3)⋊C3)C2218yescomplemented
26C2×C4×(C3⋊D3)⋊C3C2212yescomplemented
27C2×#634⋊C3C2211yescharacteristic, complemented
28#88676C22132yescomplemented
29C2×#6200C2214yescomplemented
30C2×#6198C2214yescomplemented
31C2×((C3⋊D3)⋊C3)⋊C4C2214yescomplemented
32#88655C22116yescomplemented
33#88654C22116yescomplemented
34#88649C22116yescomplemented
35#88648C22116yescomplemented
36C2×#3828D311yescharacteristic, complemented
37C22×C4⋊(C3⋊D3)D311yescharacteristic, complemented
38C2×C3×#235—31no—
39C2×C3×#235—31no—
40C2×C3×#235—31no—
41C2×C3×#235—61no—
42C22×C3×D12—31no—
43C2×#3811—34no—
44C2×D3×#67—34no—
45#64308—316no—
46#64307—316no—
47C2×#3802—32no—
48C2×D3×D12—32no—
49C2×D3×D12—32no—
50C2×D3×D12—32no—
51C2×#3799—32no—
52C2×#3799—32no—
53C2×#3796—32no—
54C2×#3795—32no—
55C23×H(3,𝔽3)C2311yescharacteristic
56C22×#272C2312yes—
57C22×(C3⋊D3)⋊C3—44no—
58C22×(C3⋊D3)⋊C3C2312yes—
59C22×(C3⋊D3)⋊C3C2314yes—
60C22×(C3⋊D3)⋊C3C2318yescomplemented
61C2×((C3⋊D3)⋊C3)⋊C2—48no—
62C2×((C3⋊D3)⋊C3)⋊C2C23116yescomplemented
63C2×C4×H(3,𝔽3)C2311yescharacteristic
64C2×C4×H(3,𝔽3)C2311yescharacteristic
65C2×C4×H(3,𝔽3)C2314yescomplemented
66#6235C2318yescomplemented
67C2×#1084C2312yes—
68C4⋊#272C2314yescomplemented
69C4×#272C2318yescomplemented
70#6229C2314yescomplemented
71#638⋊C3C2318yescomplemented
72C2×(C3⋊Dic3)⋊C3C2312yes—
73C4⋊((C3⋊D3)⋊C3)C2318yescomplemented
74C4⋊((C3⋊D3)⋊C3)C2318yescomplemented
75C4⋊((C3⋊D3)⋊C3)C2314yescomplemented
76C4×(C3⋊D3)⋊C3C2318yescomplemented
77#634⋊C3C2314yescomplemented
78#6200C23116yescomplemented
79#6198C23116yescomplemented
80((C3⋊D3)⋊C3)⋊C4C23116yescomplemented
81C2×#1009—91no—
82C2×#1009—91no—
83C2×#1004—91no—
84C23×C3⋊D3C2×D312yescomplemented
85C23×C3×D3—32no—
86C22×D32—34no—
87C22×D32—34no—
88C22×C32×C4—21no—
89C22×C32×C4C2×D311yescharacteristic, complemented
90C22×C32×C4C2×D311yescharacteristic, complemented
91C2×#638C2×D312yescomplemented
92#3828C2×D318yescomplemented
93C2×C4⋊(C3⋊D3)C2×D312yescomplemented
94C2×C4⋊(C3⋊D3)C2×D312yescomplemented
95C2×C4⋊(C3⋊D3)C2×D311yescharacteristic, complemented
96C2×C4⋊(C3⋊D3)C2×D318yescomplemented
97C2×C4×C3⋊D3C2×D312yescomplemented
98C2×#634C2×D311yescharacteristic, complemented
99C2×C3×#67—32no—
100C2×C3×#67—32no—
101C2×C3×#67—32no—
102C2×C3×#67—62no—
103C3×#235—38no—
104C3×#235—38no—
105C3×#235—38no—
106C3×#235—68no—
107C2×C3×D12—32no—
108C2×C3×D12—32no—
109C2×C3×D12—31no—
110C2×C3×D12—31no—
111C2×C3×D12—31no—
112C2×C3×D12—38no—
113C2×C3×D12—61no—
114C2×C3×C4×D3—32no—
115C2×C3×C4×D3—32no—
116C2×C3×C4×D3—32no—
117C2×C3×C4×D3—62no—
118C2×C3×Dic6—31no—
119C2×C3×Dic6—31no—
120C2×C3×Dic6—31no—
121C2×C3×Dic6—61no—
122#3811—332no—
123D3×#67—332no—
124C2×#626—34no—
125C2×#626—34no—
126C2×#626—34no—
127C2×#625—34no—
128C2×#624—34no—
129C2×D3×Dic3—34no—
130#3802—316no—
131D3×D12—316no—
132D3×D12—316no—
133D3×D12—316no—
134#3799—316no—
135#3799—316no—
136#3796—316no—
137#3795—316no—
138C22×H(3,𝔽3)—22no—
139C22×H(3,𝔽3)C2412yes—
140C22×H(3,𝔽3)C2411yescharacteristic
141C2×#272—24no—
142C2×#272C2414yes—
143C2×(C3⋊D3)⋊C3—24no—
144C2×(C3⋊D3)⋊C3—28no—
145C2×(C3⋊D3)⋊C3—48no—
146C2×(C3⋊D3)⋊C3C2418yes—
147C2×(C3⋊D3)⋊C3C2414yes—
148((C3⋊D3)⋊C3)⋊C2—416no—
149C4×H(3,𝔽3)C2412yes—
150C4×H(3,𝔽3)C2412yes—
151#1084C2414yes—
152(C3⋊Dic3)⋊C3C2414yes—
153C2×C3×#41—91no—
154C2×C3×#41—91no—
155C22×C3×D4—91no—
156C22×#67—94no—
157#1009—916no—
158#1009—916no—
159C2×#239—92no—
160C2×#239—92no—
161#1004—916no—
162C2×#237—92no—
163C2×#237—92no—
164C2×D3×D4—92no—
165C2×D3×D4—92no—
166C2×D3×D4—92no—
167C2×D3×D4—92no—
168C2×D3×D4—94no—
169C2×D3×D4—94no—
170C2×#235—31no—
171C2×#235—31no—
172C2×#235—31no—
173C2×#235—61no—
174C2×#235—91no—
175C2×#235—92no—
176C2×#235—92no—
177C22×D12—31no—
178C22×D12—91no—
179C22×D12—92no—
180C22×D12—92no—
181C23×C32—21no—
182C23×C32C22×D311yescharacteristic
183C23×C32C22×D311yescharacteristic
184C22×C3⋊D3—44no—
185C22×C3⋊D3C22×D312yes—
186C22×C3⋊D3C22×D314yes—
187C22×C3⋊D3C22×D318yescomplemented
188C22×C3×D3—32no—
189C22×C3×D3—32no—
190C22×C3×D3—32no—
191C22×C3×D3—34no—
192C22×C3×D3—38no—
193C22×C3×D3—62no—
194C22×C3×D3—124no—
195C2×D32—316no—
196C2×D32—316no—
197C2×D32—128no—
198C2×D32—128no—
199C2×C32×C4—21no—
200C2×C32×C4—21no—
201C2×C32×C4—24no—
202C2×C32×C4C22×D311yescharacteristic
203C2×C32×C4C22×D311yescharacteristic
204C2×C32×C4C22×D311yescharacteristic
205C2×C32×C4C22×D311yescharacteristic
206C2×C32×C4C22×D314yescomplemented
207C2×C32×C4C22×D314yescomplemented
208#638C22×D318yescomplemented
209C2×C3⋊Dic3C22×D312yes—
210C4⋊(C3⋊D3)C22×D318yescomplemented
211C4⋊(C3⋊D3)C22×D318yescomplemented
212C4⋊(C3⋊D3)C22×D314yescomplemented
213C4×C3⋊D3C22×D318yescomplemented
214#634C22×D314yescomplemented
215C3×#67—38no—
216C3×#67—38no—
217C3×#67—38no—
218C3×#67—68no—
219C2×C3×Dic3—32no—
220C2×C3×Dic3—32no—
221C2×C3×Dic3—32no—
222C2×C3×Dic3—62no—
223C3×D12—38no—
224C3×D12—38no—
225C3×D12—34no—
226C3×D12—34no—
227C3×D12—34no—
228C3×D12—64no—
229C3×C4×D3—38no—
230C3×C4×D3—38no—
231C3×C4×D3—38no—
232C3×C4×D3—68no—
233C3×Dic6—34no—
234C3×Dic6—34no—
235C3×Dic6—34no—
236C3×Dic6—64no—
237#626—316no—
238#626—316no—
239#626—316no—
240#625—316no—
241#624—316no—
242D3×Dic3—316no—
243C2×H(5,𝔽2)—271noSylow
244C2×H(3,𝔽3)—22no—
245C2×H(3,𝔽3)H(5,𝔽2)12yescomplemented
246C2×H(3,𝔽3)C2511yescharacteristic
247#272—24no—
248(C3⋊D3)⋊C3—24no—
249(C3⋊D3)⋊C3—28no—
250C24×C3—92no—
251C23×D3—32no—
252C23×D3—92no—
253C23×D3—94no—
254C23×D3—94no—
255C23×D3—94no—
256C3×#41—98no—
257C3×#41—98no—
258C2×C3×Q8—91no—
259C2×C3×Q8—91no—
260C2×C3×D4—91no—
261C2×C3×D4—92no—
262C2×C3×D4—92no—
263C2×C3×D4—98no—
264C2×C3×D4—92no—
265C2×C3×D4—92no—
266C2×C3×D4—91no—
267C22×C3×C4—31no—
268C22×C3×C4—31no—
269C22×C3×C4—61no—
270C22×C3×C4—92no—
271C22×C3×C4—92no—
272C22×C3×C4D3211yescharacteristic
273C2×#67—32no—
274C2×#67—32no—
275C2×#67—32no—
276C2×#67—62no—
277C2×#67—92no—
278C2×#67—94no—
279C2×#67—94no—
280C2×#67—94no—
281C2×#67—932no—
282C2×#67—94no—
283C22×Dic3—94no—
284#239—916no—
285#239—916no—
286#237—916no—
287#237—916no—
288D3×D4—916no—
289D3×D4—916no—
290D3×D4—916no—
291D3×D4—916no—
292D3×D4—932no—
293D3×D4—932no—
294#235—38no—
295#235—38no—
296#235—38no—
297#235—68no—
298#235—98no—
299#235—916no—
300#235—916no—
301C2×D12—31no—
302C2×D12—31no—
303C2×D12—32no—
304C2×D12—32no—
305C2×D12—38no—
306C2×D12—31no—
307C2×D12—61no—
308C2×D12—92no—
309C2×D12—92no—
310C2×D12—98no—
311C2×D12—91no—
312C2×D12—916no—
313C2×D12—916no—
314C2×D12—94no—
315C2×D12—94no—
316C2×C4×D3—32no—
317C2×C4×D3—32no—
318C2×C4×D3—32no—
319C2×C4×D3—62no—
320C2×C4×D3—92no—
321C2×C4×D3—94no—
322C2×C4×D3—94no—
323C2×Dic6—31no—
324C2×Dic6—31no—
325C2×Dic6—31no—
326C2×Dic6—61no—
327C2×Dic6—91no—
328C22×C32—22no—
329C22×C32—22no—
330C22×C32—21no—
331C22×C32—22no—
332C22×C32—42no—
333C22×C32C23×D312yes—
334C22×C32C23×D312yes—
335C22×C32C23×D311yescharacteristic
336C22×C32C23×D311yescharacteristic
337C2×C3⋊D3—28no—
338C2×C3⋊D3—24no—
339C2×C3⋊D3—48no—
340C2×C3⋊D3C23×D318yes—
341C2×C3⋊D3C23×D314yes—
342C2×C3×D3—38no—
343C2×C3×D3—34no—
344C2×C3×D3—34no—
345C2×C3×D3—34no—
346C2×C3×D3—64no—
347C2×C3×D3—64no—
348C2×C3×D3—64no—
349C2×C3×D3—68no—
350C2×C3×D3—64no—
351C2×C3×D3—124no—
352C2×C3×D3—128no—
353D32—1216no—
354D32—1216no—
355C32×C4—22no—
356C32×C4—22no—
357C32×C4C23×D312yes—
358C32×C4C23×D312yes—
359C32×C4C23×D312yes—
360C32×C4C23×D312yes—
361C3⋊Dic3C23×D314yes—
362C3×Dic3—34no—
363C3×Dic3—34no—
364C3×Dic3—34no—
365C3×Dic3—64no—
366H(5,𝔽2)—2716no—
367C2×#41—91no—
368C2×#41—91no—
369C2×#41—272no—
370C2×#41—272no—
371C22×D4—91no—
372C22×D4—272no—
373C22×D4—272no—
374C22×D4—274no—
375H(3,𝔽3)C2×H(5,𝔽2)11yescharacteristic, complemented, Sylow
376C23×C3—31no—
377C23×C3—31no—
378C23×C3—61no—
379C23×C3—94no—
380C23×C3—92no—
381C23×C3—98no—
382C23×C3—92no—
383C23×C3—364no—
384C23×C3C2×D3211yescharacteristic
385C22×D3—32no—
386C22×D3—32no—
387C22×D3—32no—
388C22×D3—34no—
389C22×D3—38no—
390C22×D3—62no—
391C22×D3—94no—
392C22×D3—92no—
393C22×D3—98no—
394C22×D3—916no—
395C22×D3—916no—
396C22×D3—916no—
397C22×D3—124no—
398C22×D3—364no—
399C22×D3—368no—
400C22×D3—368no—
401C22×D3—368no—
402C3×Q8—94no—
403C3×Q8—94no—
404C3×D4—94no—
405C3×D4—98no—
406C3×D4—98no—
407C3×D4—98no—
408C3×D4—98no—
409C3×D4—94no—
410C2×C3×C4—31no—
411C2×C3×C4—31no—
412C2×C3×C4—31no—
413C2×C3×C4—31no—
414C2×C3×C4—34no—
415C2×C3×C4—34no—
416C2×C3×C4—61no—
417C2×C3×C4—61no—
418C2×C3×C4—64no—
419C2×C3×C4—98no—
420C2×C3×C4—92no—
421C2×C3×C4—92no—
422C2×C3×C4—98no—
423C2×C3×C4C2×D3211yescharacteristic
424C2×C3×C4C2×D3211yescharacteristic
425C2×C3×C4C2×D3214yes—
426#67—38no—
427#67—38no—
428#67—38no—
429#67—68no—
430#67—98no—
431#67—916no—
432#67—916no—
433#67—916no—
434#67—916no—
435C2×Dic3—32no—
436C2×Dic3—32no—
437C2×Dic3—32no—
438C2×Dic3—62no—
439C2×Dic3—92no—
440C2×Dic3—916no—
441D12—34no—
442D12—34no—
443D12—38no—
444D12—38no—
445D12—34no—
446D12—64no—
447D12—98no—
448D12—98no—
449D12—94no—
450D12—916no—
451D12—916no—
452C4×D3—38no—
453C4×D3—38no—
454C4×D3—38no—
455C4×D3—68no—
456C4×D3—98no—
457C4×D3—916no—
458C4×D3—916no—
459Dic6—34no—
460Dic6—34no—
461Dic6—34no—
462Dic6—64no—
463Dic6—94no—
464C2×C32—22no—
465C2×C32—22no—
466C2×C32—22no—
467C2×C32—21no—
468C2×C32—42no—
469C2×C32#100412yescomplemented
470C2×C32#100912yescomplemented
471C2×C32C24×D311yescharacteristic
472C2×C32C24×D311yescharacteristic
473C3⋊D3—28no—
474C3⋊D3—24no—
475C3×D3—64no—
476C3×D3—64no—
477C3×D3—68no—
478C3×D3—64no—
479C3×D3—124no—
480C24—92no—
481C24—274no—
482#41—98no—
483#41—98no—
484#41—2716no—
485#41—2716no—
486C2×Q8—91no—
487C2×Q8—91no—
488C2×D4—92no—
489C2×D4—92no—
490C2×D4—92no—
491C2×D4—92no—
492C2×D4—91no—
493C2×D4—91no—
494C2×D4—98no—
495C2×D4—2716no—
496C2×D4—2716no—
497C2×D4—274no—
498C2×D4—274no—
499C2×D4—2732no—
500C22×C4—92no—
501C22×C4—92no—
502C22×C4—274no—
503C22×C4((C3⋊D3)⋊C3)⋊C211yescharacteristic, complemented
504C22×C3—22no—
505C22×C3—32no—
506C22×C3—32no—
507C22×C3—31no—
508C22×C3—31no—
509C22×C3—62no—
510C22×C3—62no—
511C22×C3—62no—
512C22×C3—61no—
513C22×C3—98no—
514C22×C3—94no—
515C22×C3—94no—
516C22×C3—122no—
517C22×C3—184no—
518C22×C3—188no—
519C22×C3—184no—
520C22×C3—368no—
521C22×C3C22×D3212yes—
522C22×C3C22×D3211yescharacteristic
523C2×D3—34no—
524C2×D3—34no—
525C2×D3—34no—
526C2×D3—38no—
527C2×D3—64no—
528C2×D3—64no—
529C2×D3—64no—
530C2×D3—68no—
531C2×D3—64no—
532C2×D3—98no—
533C2×D3—94no—
534C2×D3—124no—
535C2×D3—128no—
536C2×D3—188no—
537C2×D3—184no—
538C2×D3—368no—
539C2×D3—3616no—
540C2×D3—3616no—
541C2×D3—3616no—
542C3×C4—32no—
543C3×C4—32no—
544C3×C4—32no—
545C3×C4—32no—
546C3×C4—62no—
547C3×C4—62no—
548C3×C4—94no—
549C3×C4—94no—
550C3×C4C22×D3212yes—
551C3×C4C22×D3212yes—
552Dic3—34no—
553Dic3—34no—
554Dic3—34no—
555Dic3—64no—
556Dic3—94no—
557C32—21no—
558C32C2×#100411yescharacteristic, complemented
559C32C2×#100911yescharacteristic, complemented
560C23—92no—
561C23—92no—
562C23—94no—
563C23—98no—
564C23—2716no—
565C23—364no—
566C23—1088no—
567C23C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
568Q8—94no—
569Q8—94no—
570D4—98no—
571D4—98no—
572D4—98no—
573D4—98no—
574D4—94no—
575D4—94no—
576D4—2716no—
577D4—2716no—
578C2×C4—92no—
579C2×C4—92no—
580C2×C4—98no—
581C2×C4—98no—
582C2×C4—2716no—
583C2×C4C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
584C2×C4C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
585C2×C4C2×((C3⋊D3)⋊C3)⋊C214yescomplemented
586C2×C3—22no—
587C2×C3—31no—
588C2×C3—31no—
589C2×C3—32no—
590C2×C3—32no—
591C2×C3—62no—
592C2×C3—62no—
593C2×C3—61no—
594C2×C3—62no—
595C2×C3—122no—
596C2×C3—184no—
597C2×C3—188no—
598C2×C3—184no—
599C2×C3#6430712yes—
600C2×C3C23×D3211yescharacteristic
601D3—64no—
602D3—64no—
603D3—68no—
604D3—64no—
605D3—124no—
606D3—188no—
607D3—184no—
608C22—22no—
609C22—94no—
610C22—94no—
611C22—98no—
612C22—188no—
613C22—184no—
614C22—184no—
615C22—368no—
616C22—10816no—
617C22C22×((C3⋊D3)⋊C3)⋊C212yes—
618C22C22×((C3⋊D3)⋊C3)⋊C211yescharacteristic
619C4—94no—
620C4—94no—
621C4C22×((C3⋊D3)⋊C3)⋊C212yes—
622C4C22×((C3⋊D3)⋊C3)⋊C212yes—
623C3—31no—
624C3—31no—
625C3—61no—
626C3C2×#6430711yescharacteristic
627C2—22no—
628C2—188no—
629C2—184no—
630C2—184no—
631C2#1172249212yesdirect product factor
632C2C23×((C3⋊D3)⋊C3)⋊C211yescharacteristic
subgroupG/H
centerC22C22×((C3⋊D3)⋊C3)⋊C2
commutator, cosocleC2×H(3,𝔽3)C25
FrattiniC2×C3C23×D32
FittingC22×C4×H(3,𝔽3)C22
socleC22×C3C22×D32
hypercenterC22×C4((C3⋊D3)⋊C3)⋊C2
hypocenterH(3,𝔽3)C2×H(5,𝔽2)
LCSG ▷ C2×H(3,𝔽3) ▷ H(3,𝔽3)
UCSC1 ◁ C22 ◁ C22×C4

Complements

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

NH ≅ G/Ntype
1. C2×#88740C2semidirect
2. C2×#3828⋊C3C2semidirect
3. C22×C4⋊((C3⋊D3)⋊C3)C2semidirect
4. C2×#88676C2semidirect
5. #11722492C2direct (N × H)
6. C2×#88655C2semidirect
7. C2×#88654C2semidirect
8. C2×#88649C2semidirect
9. C2×#88648C2semidirect
12. C23×(C3⋊D3)⋊C3C22semidirect
13. C22×((C3⋊D3)⋊C3)⋊C2C22semidirect
14. C22×C4×H(3,𝔽3)C22semidirect
15. C2×#6235C22semidirect
16. #88740C22semidirect
17. C2×C4⋊#272C22semidirect
18. C2×C4×#272C22semidirect
19. C2×#6229C22semidirect
20. C2×#638⋊C3C22semidirect
21. #3828⋊C3C22semidirect
22. C2×C4⋊((C3⋊D3)⋊C3)C22semidirect
23. C2×C4⋊((C3⋊D3)⋊C3)C22semidirect
24. C2×C4⋊((C3⋊D3)⋊C3)C22semidirect
25. C2×C4⋊((C3⋊D3)⋊C3)C22semidirect
26. C2×C4×(C3⋊D3)⋊C3C22semidirect
27. C2×#634⋊C3C22semidirect
28. #88676C22semidirect
29. C2×#6200C22semidirect
30. C2×#6198C22semidirect
31. C2×((C3⋊D3)⋊C3)⋊C4C22semidirect
32. #88655C22semidirect
33. #88654C22semidirect
34. #88649C22semidirect
35. #88648C22semidirect
36. C2×#3828D3semidirect
37. C22×C4⋊(C3⋊D3)D3semidirect
60. C22×(C3⋊D3)⋊C3C23semidirect
62. C2×((C3⋊D3)⋊C3)⋊C2C23semidirect
65. C2×C4×H(3,𝔽3)C23semidirect
66. #6235C23semidirect
68. C4⋊#272C23semidirect
69. C4×#272C23semidirect
70. #6229C23semidirect
71. #638⋊C3C23semidirect
73. C4⋊((C3⋊D3)⋊C3)C23semidirect
74. C4⋊((C3⋊D3)⋊C3)C23semidirect
75. C4⋊((C3⋊D3)⋊C3)C23semidirect
76. C4×(C3⋊D3)⋊C3C23semidirect
77. #634⋊C3C23semidirect
78. #6200C23semidirect
79. #6198C23semidirect
80. ((C3⋊D3)⋊C3)⋊C4C23semidirect
84. C23×C3⋊D3C2×D3semidirect
89. C22×C32×C4C2×D3semidirect
90. C22×C32×C4C2×D3semidirect
91. C2×#638C2×D3semidirect
92. #3828C2×D3semidirect
93. C2×C4⋊(C3⋊D3)C2×D3semidirect
94. C2×C4⋊(C3⋊D3)C2×D3semidirect
95. C2×C4⋊(C3⋊D3)C2×D3semidirect
96. C2×C4⋊(C3⋊D3)C2×D3semidirect
97. C2×C4×C3⋊D3C2×D3semidirect
98. C2×#634C2×D3semidirect
187. C22×C3⋊D3C22×D3semidirect
206. C2×C32×C4C22×D3semidirect
207. C2×C32×C4C22×D3semidirect
208. #638C22×D3semidirect
210. C4⋊(C3⋊D3)C22×D3semidirect
211. C4⋊(C3⋊D3)C22×D3semidirect
212. C4⋊(C3⋊D3)C22×D3semidirect
213. C4×C3⋊D3C22×D3semidirect
214. #634C22×D3semidirect
245. C2×H(3,𝔽3)H(5,𝔽2)semidirect
375. H(3,𝔽3)C2×H(5,𝔽2)semidirect
469. C2×C32#1004semidirect
470. C2×C32#1009semidirect
503. C22×C4((C3⋊D3)⋊C3)⋊C2semidirect
558. C32C2×#1004semidirect
559. C32C2×#1009semidirect
585. C2×C4C2×((C3⋊D3)⋊C3)⋊C2semidirect
631. C2#11722492direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#887402
C2×#3828⋊C32
C22×C4⋊((C3⋊D3)⋊C3)2
C2×#886762
#117224922
C2×#886552
C2×#886542
C2×#886492
C2×#886482
C2×#643083
C2×#643073