Finite Group Databasebeta

← C2×#10596180 #11903116

Subgroups — C2×#10596180 #11903116

Order 1152.

3756 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×#126C211yesmaximal, characteristic, complemented
2#10596180C2116yesmaximal, direct product factor
3C2×#64107C211yesmaximal, characteristic, complemented
4C2×#64104C211yesmaximal, characteristic, complemented
5C2×#64103C211yesmaximal, characteristic, complemented
6C2×#64102C211yesmaximal, characteristic, complemented
7C2×C4⋊C4×C3⋊D3C211yesmaximal, characteristic, complemented
8C2×#64098C211yesmaximal, characteristic, complemented
9C2×#64095C211yesmaximal, characteristic, complemented
10C2×#64093C211yesmaximal, characteristic, complemented
11C2×#64093C211yesmaximal, characteristic, complemented
12C2×#64093C211yesmaximal, characteristic, complemented
13C2×#64090C211yesmaximal, characteristic, complemented
14C2×#64090C211yesmaximal, characteristic, complemented
15C2×C4×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
16C2×#64081C211yesmaximal, characteristic, complemented
17C2×#5709—34nomaximal
18C22×#638C2211yescharacteristic
19C22×#638C2211yescharacteristic
20C22×#638C2211yescharacteristic
21C23×C3⋊Dic3C2211yescharacteristic
22C22×C4⋊(C3⋊D3)C2211yescharacteristic
23C22×C4⋊(C3⋊D3)C2211yescharacteristic
24C22×C4⋊(C3⋊D3)C2211yescharacteristic
25C22×C4×C3⋊D3C2211yescharacteristic
26C22×C4×C3⋊D3C2211yescharacteristic
27C22×C4×C3⋊D3C2211yescharacteristic
28C22×C4×C3⋊D3C2211yescharacteristic
29C22×C4×C3⋊D3C2211yescharacteristic
30C32×#126C2218yescomplemented
31C2×C32×C4⋊C4C2211yescharacteristic
32C2×C32×C4⋊C4C2211yescharacteristic
33C2×C32×C4⋊C4C2211yescharacteristic
34C2×C32×C22⋊C4C2211yescharacteristic
35C2×C32×C22⋊C4C2211yescharacteristic
36C2×C32×C22⋊C4C2211yescharacteristic
37C2×C32×C42C2211yescharacteristic
38C2×#3752C2211yescharacteristic
39C2×#3752C2211yescharacteristic
40C2×#3752C2211yescharacteristic
41C2×#3752C2211yescharacteristic
42C2×#3752C2211yescharacteristic
43C2×#3752C2211yescharacteristic
44C2×#3752C2211yescharacteristic
45C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
46C2×C4⋊(C3⋊Dic3)C2211yescharacteristic
47C2×#3750C2211yescharacteristic
48C2×#3750C2211yescharacteristic
49C2×#3750C2211yescharacteristic
50C2×#3750C2211yescharacteristic
51C2×#3750C2211yescharacteristic
52C2×C4×C3⋊Dic3C2211yescharacteristic
53C2×C4×C3⋊Dic3C2211yescharacteristic
54#64107C2218yescomplemented
55#64104C2218yescomplemented
56#64103C2218yescomplemented
57#64102C2218yescomplemented
58C4⋊C4×C3⋊D3C2218yescomplemented
59#64098C2218yescomplemented
60#64095C2218yescomplemented
61#64093C2218yescomplemented
62#64093C2218yescomplemented
63#64093C2218yescomplemented
64#64090C2218yescomplemented
65#64090C2218yescomplemented
66C4×C4⋊(C3⋊D3)C2218yescomplemented
67#64081C2218yescomplemented
68C2×C3×#126D314yescomplemented
69#5709—364no—
70C2×#898—34no—
71C2×#895—34no—
72C2×#894—34no—
73C2×#893—34no—
74C2×D3×C4⋊C4—34no—
75C2×#889—34no—
76C2×#886—34no—
77C2×#884—34no—
78C2×#884—34no—
79C2×#884—34no—
80C2×#67⋊C4—34no—
81C2×#67⋊C4—34no—
82C2×C4×D12—34no—
83C2×#872—34no—
84C24×C32C2311yescharacteristic
85C23×C3⋊D3C2311yescharacteristic
86C23×C3⋊D3C2311yescharacteristic
87C23×C3⋊D3C2311yescharacteristic
88C22×C32×C4C2311yescharacteristic
89C22×C32×C4C2311yescharacteristic
90C22×C32×C4C2311yescharacteristic
91C22×C32×C4C2311yescharacteristic
92C22×C32×C4C2311yescharacteristic
93C22×C32×C4C2311yescharacteristic
94C2×#638—24no—
95C2×#638—24no—
96C2×#638—42no—
97C2×#638C2314yes—
98C2×#638C2314yes—
99C2×#638C2314yes—
100C22×C3⋊Dic3—42no—
101C22×C3⋊Dic3C2311yescharacteristic
102C22×C3⋊Dic3C2311yescharacteristic
103C22×C3⋊Dic3C2311yescharacteristic
104C22×C3⋊Dic3C2311yescharacteristic
105C22×C3⋊Dic3C2314yes—
106C22×C3⋊Dic3C2311yescharacteristic
107C2×C4⋊(C3⋊D3)—24no—
108C2×C4⋊(C3⋊D3)—24no—
109C2×C4⋊(C3⋊D3)—42no—
110C2×C4⋊(C3⋊D3)C2314yes—
111C2×C4⋊(C3⋊D3)C2314yes—
112C2×C4⋊(C3⋊D3)C2314yes—
113C2×C4×C3⋊D3—24no—
114C2×C4×C3⋊D3—24no—
115C2×C4×C3⋊D3—42no—
116C2×C4×C3⋊D3—42no—
117C2×C4×C3⋊D3—42no—
118C2×C4×C3⋊D3C2314yes—
119C2×C4×C3⋊D3C2314yes—
120C2×C4×C3⋊D3C2314yes—
121C2×C4×C3⋊D3C2314yes—
122C2×C4×C3⋊D3C2314yes—
123C32×C4⋊C4C2314yes—
124C32×C4⋊C4C2314yes—
125C32×C4⋊C4C2314yes—
126C32×C22⋊C4C2314yes—
127C32×C22⋊C4C2314yes—
128C32×C22⋊C4C2314yes—
129C32×C42C2314yes—
130#3752C2314yes—
131#3752C2314yes—
132#3752C2314yes—
133#3752C2314yes—
134#3752C2314yes—
135#3752C2314yes—
136#3752C2314yes—
137C4⋊(C3⋊Dic3)C2314yes—
138C4⋊(C3⋊Dic3)C2314yes—
139#3750C2314yes—
140#3750C2314yes—
141#3750C2314yes—
142#3750C2314yes—
143#3750C2314yes—
144C4×C3⋊Dic3C2314yes—
145C4×C3⋊Dic3C2314yes—
146C2×#553—91noSylow
147C22×#67—34no—
148C22×#67—34no—
149C22×#67—34no—
150C23×Dic3—34no—
151C22×D12—34no—
152C22×D12—34no—
153C22×D12—34no—
154C22×C4×D3—34no—
155C22×C4×D3—34no—
156C22×C4×D3—34no—
157C22×C4×D3—34no—
158C22×C4×D3—34no—
159C3×#126C2×D3132yescomplemented
160C2×C3×C4⋊C4C2×D314yes—
161C2×C3×C4⋊C4C2×D314yes—
162C2×C3×C4⋊C4C2×D314yes—
163C2×C3×C22⋊C4C2×D314yes—
164C2×C3×C22⋊C4C2×D314yes—
165C2×C3×C22⋊C4C2×D314yes—
166C2×C3×C42C2×D314yes—
167C2×(C2×D3)⋊C4—34no—
168C2×(C2×D3)⋊C4—34no—
169C2×(C2×D3)⋊C4—34no—
170C2×(C2×D3)⋊C4—34no—
171C2×(C2×D3)⋊C4—34no—
172C2×(C2×D3)⋊C4—34no—
173C2×(C2×D3)⋊C4—34no—
174C2×C4⋊Dic3—34no—
175C2×C4⋊Dic3—34no—
176C2×Dic3⋊C4—34no—
177C2×Dic3⋊C4—34no—
178C2×Dic3⋊C4—34no—
179C2×Dic3⋊C4—34no—
180C2×Dic3⋊C4—34no—
181C2×C4×Dic3—34no—
182C2×C4×Dic3—34no—
183#898—332no—
184#895—332no—
185#894—332no—
186#893—332no—
187D3×C4⋊C4—332no—
188#889—332no—
189#886—332no—
190#884—332no—
191#884—332no—
192#884—332no—
193#67⋊C4—332no—
194#67⋊C4—332no—
195C4×D12—332no—
196#872—332no—
197C23×C32—22no—
198C23×C32—22no—
199C23×C32—22no—
200C23×C32C2412yes—
201C23×C32C2411yescharacteristic
202C22×C3⋊D3—22no—
203C22×C3⋊D3—22no—
204C22×C3⋊D3—22no—
205C22×C3⋊D3—22no—
206C22×C3⋊D3—22no—
207C22×C3⋊D3—22no—
208C22×C3⋊D3—22no—
209C22×C3⋊D3—22no—
210C22×C3⋊D3#4114yes—
211C22×C3⋊D3C2412yes—
212C22×C3⋊D3C2412yes—
213C22×C3⋊D3C2412yes—
214C2×C32×C4—22no—
215C2×C32×C4—22no—
216C2×C32×C4—22no—
217C2×C32×C4—22no—
218C2×C32×C4—22no—
219C2×C32×C4—22no—
220C2×C32×C4C2412yes—
221C2×C32×C4C2412yes—
222C2×C32×C4C2412yes—
223C2×C32×C4C2412yes—
224C2×C32×C4C2412yes—
225C2×C32×C4C2412yes—
226#638—28no—
227#638—28no—
228#638—44no—
229C2×C3⋊Dic3—22no—
230C2×C3⋊Dic3—22no—
231C2×C3⋊Dic3—22no—
232C2×C3⋊Dic3—22no—
233C2×C3⋊Dic3—44no—
234C2×C3⋊Dic3#4114yes—
235C2×C3⋊Dic3C2412yes—
236C2×C3⋊Dic3C2412yes—
237C2×C3⋊Dic3C2412yes—
238C2×C3⋊Dic3C2412yes—
239C2×C3⋊Dic3C2412yes—
240C4⋊(C3⋊D3)—28no—
241C4⋊(C3⋊D3)—28no—
242C4⋊(C3⋊D3)—44no—
243C4×C3⋊D3—28no—
244C4×C3⋊D3—28no—
245C4×C3⋊D3—44no—
246C4×C3⋊D3—44no—
247C4×C3⋊D3—44no—
248#553—916no—
249C2×#126—91no—
250C2×#126C3⋊D311yescharacteristic, complemented
251C2×#125—91no—
252C2×#123—91no—
253C2×#123—91no—
254C2×#121—91no—
255C2×#121—91no—
256C2×#121—91no—
257C2×#121—91no—
258C2×C4×D4—91no—
259C2×C4×D4—91no—
260C2×C4×D4—91no—
261C2×C4×D4—91no—
262C2×#117—91no—
263C22×C4⋊C4—91no—
264C24×C3C22×D314yes—
265C23×D3—34no—
266C23×D3—34no—
267C23×D3—34no—
268C22×C3×C4C22×D314yes—
269C22×C3×C4C22×D314yes—
270C22×C3×C4C22×D314yes—
271C22×C3×C4C22×D314yes—
272C22×C3×C4C22×D314yes—
273C22×C3×C4C22×D314yes—
274C2×#67—316no—
275C2×#67—316no—
276C2×#67—316no—
277C2×#67—616no—
278C2×#67—616no—
279C2×#67—128no—
280C22×Dic3—34no—
281C22×Dic3—34no—
282C22×Dic3—34no—
283C22×Dic3—34no—
284C22×Dic3—34no—
285C22×Dic3—316no—
286C22×Dic3—128no—
287C2×D12—316no—
288C2×D12—316no—
289C2×D12—316no—
290C2×D12—616no—
291C2×D12—616no—
292C2×D12—128no—
293C2×C4×D3—316no—
294C2×C4×D3—316no—
295C2×C4×D3—316no—
296C2×C4×D3—316no—
297C2×C4×D3—316no—
298C2×C4×D3—616no—
299C2×C4×D3—616no—
300C2×C4×D3—128no—
301C2×C4×D3—128no—
302C2×C4×D3—128no—
303C3×C4⋊C4C22×D3116yes—
304C3×C4⋊C4C22×D3116yes—
305C3×C4⋊C4C22×D3116yes—
306C3×C22⋊C4C22×D3116yes—
307C3×C22⋊C4C22×D3116yes—
308C3×C22⋊C4C22×D3116yes—
309C3×C42C22×D3116yes—
310(C2×D3)⋊C4—316no—
311(C2×D3)⋊C4—316no—
312(C2×D3)⋊C4—316no—
313(C2×D3)⋊C4—316no—
314(C2×D3)⋊C4—316no—
315(C2×D3)⋊C4—316no—
316(C2×D3)⋊C4—316no—
317C4⋊Dic3—316no—
318C4⋊Dic3—316no—
319Dic3⋊C4—316no—
320Dic3⋊C4—316no—
321Dic3⋊C4—316no—
322Dic3⋊C4—316no—
323Dic3⋊C4—316no—
324C4×Dic3—316no—
325C4×Dic3—316no—
326C22×C32—22no—
327C22×C32—22no—
328C22×C32—22no—
329C22×C32—44no—
330C22×C32C2×#4112yes—
331C22×C32C2×#4112yes—
332C22×C32H(5,𝔽2)12yes—
333C22×C32C2511yescharacteristic
334C2×C3⋊D3—28no—
335C2×C3⋊D3—22no—
336C2×C3⋊D3—22no—
337C2×C3⋊D3—22no—
338C2×C3⋊D3—22no—
339C2×C3⋊D3—22no—
340C2×C3⋊D3—22no—
341C2×C3⋊D3—22no—
342C2×C3⋊D3—22no—
343C2×C3⋊D3—44no—
344C2×C3⋊D3—44no—
345C2×C3⋊D3C2×#4114yes—
346C32×C4—22no—
347C32×C4—22no—
348C32×C4—22no—
349C32×C4—22no—
350C32×C4—22no—
351C32×C4—22no—
352C3⋊Dic3—22no—
353C3⋊Dic3—22no—
354C3⋊Dic3—22no—
355C3⋊Dic3—22no—
356C3⋊Dic3C2×#4114yes—
357C22×D4—91no—
358C22×D4—91no—
359C22×D4—91no—
360C22×D4—91no—
361C22×D4—91no—
362C22×D4—91no—
363C23×C4—91no—
364C23×C4—91no—
365C23×C4—91no—
366C23×C4—91no—
367C23×C4—91no—
368C23×C4—91no—
369#126—98no—
370#126C2×C3⋊D318yescomplemented
371#125—98no—
372#123—98no—
373#123—98no—
374#121—98no—
375#121—98no—
376#121—98no—
377#121—98no—
378C4×D4—98no—
379C4×D4—98no—
380C4×D4—98no—
381C4×D4—98no—
382#117—98no—
383C2×C4⋊C4—91no—
384C2×C4⋊C4—91no—
385C2×C4⋊C4—91no—
386C2×C4⋊C4—91no—
387C2×C4⋊C4—91no—
388C2×C4⋊C4—91no—
389C2×C4⋊C4—91no—
390C2×C4⋊C4—98no—
391C2×C4⋊C4C2×C3⋊D311yescharacteristic
392C2×C4⋊C4C2×C3⋊D311yescharacteristic
393C2×C4⋊C4C2×C3⋊D311yescharacteristic
394C2×C22⋊C4—91no—
395C2×C22⋊C4—91no—
396C2×C22⋊C4—91no—
397C2×C22⋊C4—91no—
398C2×C22⋊C4—91no—
399C2×C22⋊C4—91no—
400C2×C22⋊C4—91no—
401C2×C22⋊C4C2×C3⋊D311yescharacteristic
402C2×C22⋊C4C2×C3⋊D311yescharacteristic
403C2×C22⋊C4C2×C3⋊D311yescharacteristic
404C2×C42—91no—
405C2×C42—91no—
406C2×C42C2×C3⋊D311yescharacteristic
407C23×C3—28no—
408C23×C3—28no—
409C23×C3—28no—
410C23×C3C23×D318yes—
411C23×C3C23×D314yes—
412C22×D3—316no—
413C22×D3—38no—
414C22×D3—38no—
415C22×D3—38no—
416C22×D3—68no—
417C22×D3—68no—
418C22×D3—68no—
419C22×D3—68no—
420C22×D3—68no—
421C22×D3—68no—
422C22×D3—68no—
423C22×D3—68no—
424C2×C3×C4—28no—
425C2×C3×C4—28no—
426C2×C3×C4—28no—
427C2×C3×C4—28no—
428C2×C3×C4—28no—
429C2×C3×C4—28no—
430C2×C3×C4C23×D318yes—
431C2×C3×C4C23×D318yes—
432C2×C3×C4C23×D318yes—
433C2×C3×C4C23×D318yes—
434C2×C3×C4C23×D318yes—
435C2×C3×C4C23×D318yes—
436#67—632no—
437#67—632no—
438#67—1216no—
439C2×Dic3—316no—
440C2×Dic3—38no—
441C2×Dic3—38no—
442C2×Dic3—38no—
443C2×Dic3—38no—
444C2×Dic3—38no—
445C2×Dic3—68no—
446C2×Dic3—68no—
447C2×Dic3—68no—
448C2×Dic3—68no—
449C2×Dic3—1216no—
450D12—632no—
451D12—632no—
452D12—1216no—
453C4×D3—632no—
454C4×D3—632no—
455C4×D3—1216no—
456C4×D3—1216no—
457C4×D3—1216no—
458C2×C32—42no—
459C2×C32#55314yescomplemented
460C2×C32C22×#4111yescharacteristic
461C2×C32C22×#4111yescharacteristic
462C2×C32C2×H(5,𝔽2)11yescharacteristic
463C3⋊D3—24no—
464C3⋊D3—42no—
465C3⋊D3—42no—
466C24—91no—
467C24—91no—
468C24—91no—
469C24C22×C3⋊D311yescharacteristic
470C2×D4—94no—
471C2×D4—94no—
472C2×D4—94no—
473C2×D4—94no—
474C2×D4—94no—
475C2×D4—94no—
476C2×D4—184no—
477C2×D4—184no—
478C2×D4—184no—
479C2×D4—184no—
480C2×D4—362no—
481C2×D4—362no—
482C22×C4—91no—
483C22×C4—91no—
484C22×C4—91no—
485C22×C4—91no—
486C22×C4—91no—
487C22×C4—94no—
488C22×C4—94no—
489C22×C4—94no—
490C22×C4—94no—
491C22×C4—94no—
492C22×C4—94no—
493C22×C4—184no—
494C22×C4—184no—
495C22×C4—362no—
496C22×C4—362no—
497C22×C4—362no—
498C22×C4—362no—
499C22×C4C22×C3⋊D311yescharacteristic
500C22×C4C22×C3⋊D311yescharacteristic
501C22×C4C22×C3⋊D311yescharacteristic
502C22×C4C22×C3⋊D311yescharacteristic
503C22×C4C22×C3⋊D311yescharacteristic
504C22×C4C22×C3⋊D311yescharacteristic
505C4⋊C4—94no—
506C4⋊C4—94no—
507C4⋊C4—94no—
508C4⋊C4—94no—
509C4⋊C4—94no—
510C4⋊C4—94no—
511C4⋊C4—94no—
512C4⋊C4C22×C3⋊D314yes—
513C4⋊C4C22×C3⋊D314yes—
514C4⋊C4C22×C3⋊D314yes—
515C22⋊C4—94no—
516C22⋊C4—94no—
517C22⋊C4—94no—
518C22⋊C4—94no—
519C22⋊C4—94no—
520C22⋊C4—94no—
521C22⋊C4—94no—
522C22⋊C4C22×C3⋊D314yes—
523C22⋊C4C22×C3⋊D314yes—
524C22⋊C4C22×C3⋊D314yes—
525C42—94no—
526C42—94no—
527C42C22×C3⋊D314yes—
528C22×C3—28no—
529C22×C3—28no—
530C22×C3—28no—
531C22×C3—416no—
532C22×C3D3×#4118yes—
533C22×C3D3×#4118yes—
534C22×C3#100918yes—
535C22×C3C24×D314yes—
536C2×D3—316no—
537C2×D3—68no—
538C2×D3—68no—
539C2×D3—632no—
540C2×D3—68no—
541C2×D3—68no—
542C2×D3—68no—
543C2×D3—68no—
544C2×D3—68no—
545C2×D3—68no—
546C2×D3—1216no—
547C2×D3—1216no—
548C3×C4—28no—
549C3×C4—28no—
550C3×C4—28no—
551C3×C4—28no—
552C3×C4—28no—
553C3×C4—28no—
554Dic3—316no—
555Dic3—68no—
556Dic3—68no—
557Dic3—68no—
558Dic3—68no—
559C32C2×#55311yescharacteristic, complemented, Sylow
560C23—22no—
561C23—22no—
562C23—22no—
563C23—94no—
564C23—92no—
565C23—92no—
566C23—92no—
567C23—182no—
568C23—182no—
569C23—182no—
570C23—182no—
571C23—182no—
572C23—182no—
573C23—182no—
574C23—182no—
575C23C23×C3⋊D312yes—
576C23C23×C3⋊D311yescharacteristic
577D4—188no—
578D4—188no—
579D4—188no—
580D4—188no—
581D4—364no—
582D4—364no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—94no—
590C2×C4—92no—
591C2×C4—92no—
592C2×C4—92no—
593C2×C4—92no—
594C2×C4—92no—
595C2×C4—188no—
596C2×C4—188no—
597C2×C4—182no—
598C2×C4—182no—
599C2×C4—182no—
600C2×C4—182no—
601C2×C4—364no—
602C2×C4—364no—
603C2×C4—364no—
604C2×C4—364no—
605C2×C4C23×C3⋊D312yes—
606C2×C4C23×C3⋊D312yes—
607C2×C4C23×C3⋊D312yes—
608C2×C4C23×C3⋊D312yes—
609C2×C4C23×C3⋊D312yes—
610C2×C4C23×C3⋊D312yes—
611C2×C3—48no—
612C2×C3#5709116yescomplemented
613C2×C3C2×D3×#4114yes—
614C2×C3C2×D3×#4114yes—
615C2×C3C2×#100914yes—
616D3—616no—
617D3—128no—
618D3—128no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—44no—
623C22—94no—
624C22—188no—
625C22—182no—
626C22—182no—
627C22—182no—
628C22—182no—
629C22—182no—
630C22—182no—
631C22—182no—
632C22—182no—
633C22—364no—
634C22—364no—
635C22#41×C3⋊D312yes—
636C22#41×C3⋊D312yes—
637C22#6436612yes—
638C22C24×C3⋊D311yescharacteristic
639C4—22no—
640C4—22no—
641C4—22no—
642C4—22no—
643C4—22no—
644C4—22no—
645C4—94no—
646C4—182no—
647C4—182no—
648C4—182no—
649C4—182no—
650C3C2×#570914yescomplemented
651C2—42no—
652C2—184no—
653C2—362no—
654C2—362no—
655C2#1059618014yesdirect product factor
656C2C2×#41×C3⋊D311yescharacteristic
657C2C2×#41×C3⋊D311yescharacteristic
658C2C2×#6436611yescharacteristic
subgroupG/H
centerC23C23×C3⋊D3
commutator, cosocleC22×C32C25
FrattiniC22C24×C3⋊D3
FittingC2×C32×#126C2
socleC23×C32C24
hypercenterC2×#126C3⋊D3
hypocenterC32C2×#553
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C23 ◁ C2×#126

Complements

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

NH ≅ G/Ntype
1. C2×C32×#126C2semidirect
2. #10596180C2direct (N × H)
3. C2×#64107C2semidirect
4. C2×#64104C2semidirect
5. C2×#64103C2semidirect
6. C2×#64102C2semidirect
7. C2×C4⋊C4×C3⋊D3C2semidirect
8. C2×#64098C2semidirect
9. C2×#64095C2semidirect
10. C2×#64093C2semidirect
11. C2×#64093C2semidirect
12. C2×#64093C2semidirect
13. C2×#64090C2semidirect
14. C2×#64090C2semidirect
15. C2×C4×C4⋊(C3⋊D3)C2semidirect
16. C2×#64081C2semidirect
30. C32×#126C22semidirect
54. #64107C22semidirect
55. #64104C22semidirect
56. #64103C22semidirect
57. #64102C22semidirect
58. C4⋊C4×C3⋊D3C22semidirect
59. #64098C22semidirect
60. #64095C22semidirect
61. #64093C22semidirect
62. #64093C22semidirect
63. #64093C22semidirect
64. #64090C22semidirect
65. #64090C22semidirect
66. C4×C4⋊(C3⋊D3)C22semidirect
67. #64081C22semidirect
68. C2×C3×#126D3semidirect
159. C3×#126C2×D3semidirect
250. C2×#126C3⋊D3semidirect
370. #126C2×C3⋊D3semidirect
459. C2×C32#553semidirect
559. C32C2×#553semidirect
612. C2×C3#5709semidirect
650. C3C2×#5709semidirect
655. C2#10596180direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C32×#1262
#105961802
C2×#641072
C2×#641042
C2×#641032
C2×#641022
C2×C4⋊C4×C3⋊D32
C2×#640982
C2×#640952
C2×#640932
C2×#640902
C2×C4×C4⋊(C3⋊D3)2
C2×#640812
C2×#57093