Finite Group Databasebeta

← C2×#72231810 #72283932

Subgroups — C2×#72231810 #72283932

Order 2048.

At least 6867 conjugacy classes of subgroups; only the 5200 normal subgroups are shown.

The subgroup lattice has 565 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#8547C211yesmaximal, characteristic, complemented
2C2×#201462C212yesmaximal, complemented
3C2×#249355C218yesmaximal, complemented
4C2×#201322C212yesmaximal, complemented
5C2×#249331C214yesmaximal, complemented
6C2×#6346594C212yesmaximal, complemented
7C2×#249319C214yesmaximal, complemented
8C2×#7642273C211yesmaximal, characteristic, complemented
9C2×#234948C214yesmaximal, complemented
10C22×#35346C211yesmaximal, characteristic, complemented
11#72231810C2132yesmaximal, direct product factor
12C2×#6628867C212yesmaximal, complemented
13C24×H(5,𝔽2)C2211yescharacteristic, complemented
14C22×#3490C2211yescharacteristic, complemented
15C24×#120C2211yescharacteristic
16C2×#60359C2214yescomplemented
17#7642273C22116yescomplemented
18C2×#36703C2214yescomplemented
19C2×#35390C2212yescomplemented
20C2×#35367C2212yescomplemented
21C2×#35346C2214yes—
22C2×#35346C22116yescomplemented
23C2×#35346C2214yescomplemented
24C2×#35222C2212yes—
25C2×#35050C2212yescomplemented
26C22×#2404C2212yes—
27C22×#2404C2212yescomplemented
28C2×#34176C2211yescharacteristic, complemented
29C22×#2308C2211yescharacteristic, complemented
30#6628867C22132yescomplemented
31C2×#32891C2218yescomplemented
32C2×#32888C2218yescomplemented
33C2×#20605C2214yescomplemented
34C22×#1783C2212yescomplemented
35#6346594C22132yescomplemented
36C2×#18144C2218yescomplemented
37C2×#18133C2214yescomplemented
38C2×#18132C2214yescomplemented
39C2×#17587C2214yescomplemented
40C22×#1462C2212yescomplemented
41C22×#1462C2212yescomplemented
42#249355C221128yescomplemented
43#249331C22164yescomplemented
44#249319C22164yescomplemented
45#234948C22164yescomplemented
46C2×#9942C22116yescomplemented
47C2×#9938C22116yescomplemented
48#201462C22132yescomplemented
49C2×#9479C2218yescomplemented
50C2×#9475C2218yescomplemented
51#201322C22132yescomplemented
52C2×#9463C2218yescomplemented
53C2×#9459C2218yescomplemented
54C2×#8547C2214yescomplemented
55C2×#8547C2214yescomplemented
56C2×#8547C22116yescomplemented
57C2×#7943C2214yescomplemented
58C28D411yescharacteristic
59C23×H(5,𝔽2)C2314yes—
60C23×H(5,𝔽2)C2318yescomplemented
61C24×#41C2312yes—
62C25×D4D411yescharacteristic
63C25×D4D411yescharacteristic
64C25×D4C2311yescharacteristic
65C2×#3490C2318yescomplemented
66C22×#535D414yescomplemented
67C22×#538C2312yescomplemented
68C22×#543C2311yescharacteristic, complemented
69C22×#534C2311yescharacteristic, complemented
70C22×#525C2312yes—
71C23×#120D412yes—
72C23×#120D412yes—
73C23×#120D418yes—
74C23×#120C2312yes—
75C23×#120C2312yes—
76C23×#120C2318yes—
77C24×C22⋊C4D411yescharacteristic
78C24×C22⋊C4C2311yescharacteristic
79C24×C22⋊C4C2311yescharacteristic
80#60359C23132yescomplemented
81C2×#3007C2318yescomplemented
82C2×#3006C2318yescomplemented
83C22×#407C2314yes—
84#36703C23132yescomplemented
85#35390C23116yescomplemented
86#35367C23116yescomplemented
87#35346C23132yes—
88#35346C23132yescomplemented
89#35222D4116yescomplemented
90#35222C23116yes—
91#35050C23116yescomplemented
92C2×#2561C2314yescomplemented
93C2×#2539C2314yescomplemented
94C2×#2404D418yescomplemented
95C2×#2404D4116yescomplemented
96C2×#2404C2318yes—
97C2×#2404C2314yes—
98C2×#2404C23116yes—
99C2×#2404C2314yes—
100C2×#2404C23116yescomplemented
101C2×#2435D414yescomplemented
102C2×#2435C2314yes—
103C2×#2433D414yescomplemented
104C2×#2433C2314yes—
105C22×#393D414yescomplemented
106C22×#392D414yescomplemented
107#34176C2318yescomplemented
108C2×#2312C2312yescomplemented
109C2×#2309D414yescomplemented
110C2×#2308C2314yes—
111C2×#2308C2318yescomplemented
112C2×#2280C2312yes—
113C22×#381C2312yes—
114C2×#2273C2312yescomplemented
115#32891C23164yescomplemented
116#32888C23164yescomplemented
117#20605C23132yescomplemented
118C2×#1789C23116yescomplemented
119C2×#1783C2318yes—
120C2×#1783C23116yescomplemented
121#18144C23164yescomplemented
122#18133C23132yescomplemented
123#18132C23132yescomplemented
124#17587C23132yescomplemented
125C2×#1511C2318yescomplemented
126C2×#1510C2318yescomplemented
127C2×#1462C23116yescomplemented
128C2×#1462C2314yescomplemented
129C2×#1462C2314yescomplemented
130C2×#1462C2318yescomplemented
131C2×#1462C23116yescomplemented
132#9942C231128yescomplemented
133#9938C231128yescomplemented
134#9479C23164yescomplemented
135#9475C23164yescomplemented
136#9463C23164yescomplemented
137#9459C23164yescomplemented
138#8547C23132yescomplemented
139#8547C23132yescomplemented
140#7943C23132yescomplemented
141C2×#1284C23116yescomplemented
142C27C2×D411yescharacteristic
143C27C2×D411yescharacteristic
144C27C2×D412yes—
145C27C2×D411yescharacteristic
146C27C2×D412yes—
147C27C2×D418yes—
148C27C2×D411yescharacteristic
149C22×H(5,𝔽2)C24116yes—
150C23×#41C2×D414yescomplemented
151C23×#41C2×D418yescomplemented
152C23×#41C2×D412yescomplemented
153C23×#41C2414yes—
154C23×#41C2418yes—
155C24×Q8C2×D412yescomplemented
156C24×D4C2×D414yes—
157C24×D4C2×D412yes—
158C24×D4C2×D412yes—
159C24×D4C2×D414yes—
160C24×D4C2×D414yes—
161C24×D4C2×D418yes—
162C24×D4C2×D412yes—
163C24×D4C2×D412yes—
164C24×D4C2×D418yes—
165C24×D4C2×D418yes—
166C24×D4C2×D412yes—
167C24×D4C2×D412yescomplemented
168C24×D4C2412yes—
169C24×D4C2414yes—
170C25×C4C2×D411yescharacteristic
171C25×C4C2×D411yescharacteristic
172C25×C4C2411yescharacteristic
173C2×#543C2414yescomplemented
174C2×#538C2418yescomplemented
175C2×#535C2×D4132yescomplemented
176C2×#534C2414yescomplemented
177C22×#127C2×D418yescomplemented
178C22×#124C2×D418yescomplemented
179C2×#525C2×D418yescomplemented
180C2×#525C2418yes—
181C22×C22⋊Q8C2×D412yescomplemented
182C22×C22⋊Q8C2412yes—
183C22×#121C2×D412yescomplemented
184C22×#121C2412yes—
185C22×#120C2×D4116yes—
186C22×#120C2×D418yes—
187C22×#120C2×D418yes—
188C22×#120C2×D4116yes—
189C22×#120C2418yes—
190C22×#120C2418yes—
191C22×#117C2×D414yescomplemented
192C22×#117C2×D412yescomplemented
193C23×C22⋊C4C2×D412yes—
194C23×C22⋊C4C2×D414yes—
195C23×C22⋊C4C2×D412yes—
196C23×C22⋊C4C2×D412yes—
197C23×C22⋊C4C2×D418yes—
198C23×C22⋊C4C2×D411yescharacteristic
199C23×C22⋊C4C2×D414yes—
200C23×C22⋊C4C2×D411yescharacteristic
201C23×C22⋊C4C2×D414yes—
202C23×C22⋊C4C2×D418yes—
203C23×C22⋊C4C2×D414yes—
204C23×C22⋊C4C2412yes—
205C23×C22⋊C4C2414yes—
206C23×C22⋊C4C2414yes—
207C23×C22⋊C4C2411yescharacteristic
208C23×C22⋊C4C2411yescharacteristic
209#3007C24132yescomplemented
210#3006C24132yescomplemented
211C2×#407C2418yes—
212C2×#407C24116yes—
213#2561C24116yescomplemented
214#2539C24116yescomplemented
215#2435C2×D4116yescomplemented
216#2435C2×D4132yescomplemented
217#2435C24116yes—
218#2433C2×D4132yescomplemented
219#2433C2×D4116yescomplemented
220#2433C24116yes—
221#2404C2×D4116yes—
222#2404C2×D4116yescomplemented
223#2404C2×D4164yescomplemented
224#2404C24132yes—
225#2404C24116yes—
226#2404C24116yes—
227C2×#393C2×D418yes—
228C2×#393C2×D418yescomplemented
229C2×#393C2×D4132yescomplemented
230C2×#392C2×D418yes—
231C2×#392C2×D418yescomplemented
232C2×#392C2×D4132yescomplemented
233#2312C2418yescomplemented
234#2309C2×D4132yescomplemented
235#2308C24116yes—
236C2×#390C2×D418yescomplemented
237C2×#390C2×D418yescomplemented
238#2280C2×D418yescomplemented
239#2280C2418yes—
240C2×#381C2×D414yescomplemented
241C2×#381C2×D418yescomplemented
242C2×#381C2414yes—
243C2×#381C2418yes—
244#2273C2418yescomplemented
245C2×C4×C22⋊C4C2×D414yescomplemented
246C2×C4×C22⋊C4C2414yes—
247C22×#95C2×D414yescomplemented
248#1789C24164yescomplemented
249#1783C24132yes—
250#1511C24132yescomplemented
251#1510C24132yescomplemented
252#1462C24116yescomplemented
253#1462C24116yescomplemented
254#1462C24132yescomplemented
255#1284C24164yescomplemented
256C26#12012yes—
257C26#12012yes—
258C26#12014yes—
259C26#12012yes—
260C26#12012yes—
261C26#12012yes—
262C26#12012yes—
263C26#12014yes—
264C26#12014yes—
265C26C22×D412yes—
266C26C22×D411yescharacteristic
267C26C22×D414yes—
268C26C22×D411yescharacteristic
269C26C22×D412yes—
270C26C22×D414yes—
271C26C22×D418yes—
272C26C22×D412yes—
273C26C22×D411yescharacteristic
274C26C22×D414yes—
275C26C22×D418yes—
276C26C22×D414yes—
277C22×#41C22×D418yes—
278C22×#41C22×D4116yescomplemented
279C22×#41C22×D418yescomplemented
280C22×#41C2518yes—
281C23×Q8C22×D414yes—
282C23×Q8C22×D418yescomplemented
283C23×Q8C22×D412yescomplemented
284C23×D4#120116yes—
285C23×D4#12018yes—
286C23×D4#12018yes—
287C23×D4#120116yes—
288C23×D4C22×D4116yes—
289C23×D4C22×D418yes—
290C23×D4C22×D414yes—
291C23×D4C22×D418yes—
292C23×D4C22×D418yes—
293C23×D4C22×D414yes—
294C23×D4C22×D4116yes—
295C23×D4C22×D418yes—
296C23×D4C22×D418yes—
297C23×D4C22×D418yes—
298C23×D4C22×D418yes—
299C23×D4C22×D418yescomplemented
300C23×D4C22×D412yescomplemented
301C23×D4C2514yes—
302C24×C4#12012yes—
303C24×C4#12012yes—
304C24×C4#12014yes—
305C24×C4C22×D412yes—
306C24×C4C22×D412yes—
307C24×C4C22×D414yes—
308C24×C4C22×D411yescharacteristic
309C24×C4C22×D411yescharacteristic
310C24×C4C22×D414yes—
311C24×C4C22×D411yescharacteristic
312C24×C4C22×D412yes—
313C24×C4C22×D412yes—
314C24×C4C22×D412yes—
315C24×C4C22×D414yes—
316C24×C4C22×D412yes—
317C24×C4C22×D414yes—
318C24×C4H(5,𝔽2)12yes—
319C24×C4H(5,𝔽2)12yes—
320C24×C4H(5,𝔽2)14yes—
321C24×C4C2511yescharacteristic
322C24×C4C2512yes—
323C2×#127C22×D4132yescomplemented
324C2×#124C22×D4132yescomplemented
325C2×C22⋊Q8C22×D414yescomplemented
326C2×C22⋊Q8C22×D418yescomplemented
327C2×C22⋊Q8C2514yes—
328C2×#121C22×D418yescomplemented
329C2×#121C22×D414yescomplemented
330C2×#121C2514yes—
331C2×#117C22×D418yescomplemented
332C2×#117C22×D4116yescomplemented
333C22×C4⋊C4C22×D412yescomplemented
334C22×C4⋊C4C22×D412yescomplemented
335C22×C22⋊C4#12014yes—
336C22×C22⋊C4#12014yes—
337C22×C22⋊C4#120116yes—
338C22×C22⋊C4#12014yes—
339C22×C22⋊C4#12014yes—
340C22×C22⋊C4#120116yes—
341C22×C22⋊C4C22×D414yes—
342C22×C22⋊C4C22×D418yes—
343C22×C22⋊C4C22×D418yes—
344C22×C22⋊C4C22×D418yes—
345C22×C22⋊C4C22×D412yes—
346C22×C22⋊C4C22×D414yes—
347C22×C22⋊C4C22×D414yes—
348C22×C22⋊C4C22×D412yes—
349C22×C22⋊C4C22×D414yes—
350C22×C22⋊C4C22×D414yes—
351C22×C22⋊C4C22×D4116yes—
352C22×C22⋊C4C22×D414yes—
353C22×C22⋊C4C22×D414yes—
354C22×C22⋊C4C22×D4116yes—
355C22×C22⋊C4C2514yes—
356C22×C22⋊C4C2512yes—
357C22×C22⋊C4C2512yes—
358C22×C42C22×D418yescomplemented
359#407C25116yes—
360#393C22×D4132yes—
361#393C22×D4132yescomplemented
362#392C22×D4132yes—
363#392C22×D4132yescomplemented
364#390C22×D4132yescomplemented
365#390C22×D4132yescomplemented
366#381C22×D418yes—
367#381C22×D4116yescomplemented
368#381C2518yes—
369C4×C22⋊C4C22×D418yescomplemented
370C4×C22⋊C4C22×D4116yescomplemented
371C4×C22⋊C4C2518yes—
372C2×#95C22×D418yes—
373C2×#95C22×D4116yescomplemented
374C25B(4,𝔽2)116yes—
375C25C2×#12011yescharacteristic
376C25C2×#12011yescharacteristic
377C25C2×#12011yescharacteristic
378C25C2×#12014yes—
379C25C2×#12012yes—
380C25C2×#12014yes—
381C25C2×#12018yes—
382C25C2×#12012yes—
383C25C2×#12018yes—
384C25C2×#12018yes—
385C25C2×#12012yes—
386C25C2×#12012yes—
387C25C2×#12012yes—
388C25C2×#12014yes—
389C25C2×#12018yes—
390C25C2×#12018yes—
391C25C2×#12012yes—
392C25C2×#12018yes—
393C25C2×#12014yes—
394C25C2×#12011yescharacteristic
395C25#53411yescharacteristic
396C25#53412yes—
397C25#53411yescharacteristic
398C25C23×D411yescharacteristic
399C25C23×D412yes—
400C25C23×D414yes—
401C25C23×D412yes—
402C25C23×D414yes—
403C25C23×D412yes—
404C25C23×D414yes—
405C22×Q8C23×D418yes—
406C22×Q8C23×D414yescomplemented
407C22×D4C2×#120132yes—
408C22×D4C2×#120116yes—
409C22×D4C23×D4116yes—
410C22×D4C23×D418yes—
411C22×D4C23×D414yescomplemented
412C23×C4C2×#12012yes—
413C23×C4C2×#12014yes—
414C23×C4C2×#12012yes—
415C23×C4C2×#12012yes—
416C23×C4C2×#12018yes—
417C23×C4C2×#12012yes—
418C23×C4C2×#12012yes—
419C23×C4C2×#12018yes—
420C23×C4C2×#12012yes—
421C23×C4C2×#12014yes—
422C23×C4C2×#12012yes—
423C23×C4C2×#12012yes—
424C23×C4C2×#12014yes—
425C23×C4C2×#12014yes—
426C23×C4#53412yes—
427C23×C4#53412yes—
428C23×C4#53414yes—
429C23×C4#53414yes—
430C23×C4D4214yes—
431C23×C4D4214yes—
432C23×C4D4218yes—
433C23×C4D4214yes—
434C23×C4D4214yes—
435C23×C4D4218yes—
436C23×C4D4218yes—
437C23×C4D4218yes—
438C23×C4D4218yes—
439C23×C4D4218yes—
440C23×C4C23×D412yes—
441C23×C4C23×D414yes—
442C23×C4C23×D414yes—
443C23×C4C23×D412yes—
444C23×C4C23×D412yes—
445C23×C4C23×D414yes—
446C23×C4C23×D412yes—
447C23×C4C23×D412yes—
448C23×C4C23×D412yes—
449C23×C4C23×D414yes—
450C23×C4C23×D414yes—
451C23×C4C23×D412yes—
452C23×C4C23×D411yescharacteristic
453C23×C4C2×H(5,𝔽2)12yes—
454C23×C4C2×H(5,𝔽2)12yes—
455C23×C4C2×H(5,𝔽2)14yes—
456C23×C4C2×H(5,𝔽2)14yes—
457C23×C4C2611yescharacteristic
458C2×C4⋊C4C23×D414yescomplemented
459C2×C4⋊C4C23×D414yescomplemented
460C2×C22⋊C4C2×#120116yes—
461C2×C22⋊C4C2×#12018yes—
462C2×C22⋊C4C2×#12018yes—
463C2×C22⋊C4C2×#120116yes—
464C2×C22⋊C4C23×D418yes—
465C2×C22⋊C4C23×D418yes—
466C2×C42C23×D4116yescomplemented
467#95C23×D4116yes—
468C24#240312yes—
469C24#240311yescharacteristic
470C24#240312yes—
471C24#240312yes—
472C24#240312yes—
473C24#240311yescharacteristic
474C24#240311yescharacteristic
475C24#240311yescharacteristic
476C24#240312yes—
477C24#240312yes—
478C24#301918yescomplemented
479C24C2×B(4,𝔽2)116yes—
480C24C2×B(4,𝔽2)132yes—
481C24C2×B(4,𝔽2)18yes—
482C24C22×#12012yes—
483C24C22×#12011yescharacteristic
484C24C22×#12012yes—
485C24C22×#12011yescharacteristic
486C24C22×#12012yes—
487C24C22×#12011yescharacteristic
488C24C22×#12011yescharacteristic
489C24C22×#12018yes—
490C24C22×#12014yes—
491C24C22×#12014yes—
492C24C22×#12018yes—
493C24C22×#12012yes—
494C24C2×#53411yescharacteristic
495C24C2×#53411yescharacteristic
496C24C2×#53412yes—
497C24C2×#53412yes—
498C24C24×D411yescharacteristic
499C22×C4#240314yes—
500C22×C4#240318yes—
501C22×C4#240318yes—
502C22×C4#240314yes—
503C22×C4#240314yes—
504C22×C4#240314yes—
505C22×C4#240318yes—
506C22×C4#240318yes—
507C22×C4C22×#12012yes—
508C22×C4C22×#12014yes—
509C22×C4C22×#12014yes—
510C22×C4C22×#12014yes—
511C22×C4C22×#12014yes—
512C22×C4C22×#12012yes—
513C22×C4C2×#53414yes—
514C22×C4C2×#53412yes—
515C22×C4C2×D4214yes—
516C22×C4C2×D4218yes—
517C22×C4C2×D4218yes—
518C22×C4C2×D4214yes—
519C22×C4C2×D4218yes—
520C22×C4C2×D4218yes—
521C22×C4C2×D4214yes—
522C22×C4C2×D4214yes—
523C22×C4C24×D412yes—
524C22×C4C24×D412yes—
525C22×C4C22×H(5,𝔽2)12yes—
526C23#2389714yes—
527C23#2390014yes—
528C23#2390014yes—
529C23#2390018yes—
530C23C2×#240311yescharacteristic
531C23C2×#240312yes—
532C23C2×#240311yescharacteristic
533C23C2×#240312yes—
534C23C2×#240312yes—
535C23C2×#240312yes—
536C23C2×#240311yescharacteristic
537C23C2×#240311yescharacteristic
538C23C2×#301914yes—
539C23C2×#301918yescomplemented
540C23C22×B(4,𝔽2)14yes—
541C23C22×B(4,𝔽2)116yes—
542C23C22×B(4,𝔽2)18yes—
543C23C23×#12011yescharacteristic
544C23C23×#12011yescharacteristic
545C23C22×#53411yescharacteristic
546C2×C4C2×#240318yes—
547C2×C4C2×#240314yes—
548C2×C4C22×D4214yes—
549C22#643744512yes—
550C22#643744512yes—
551C22C2×#2389714yes—
552C22C2×#2389712yes—
553C22C2×#2390014yes—
554C22C2×#2390012yes—
555C22C2×#2390014yes—
556C22C2×#2390012yes—
557C22C22×#240311yescharacteristic
558C22C22×#301912yes—
559C22C23×B(4,𝔽2)12yes—
560C2C22×#2390011yescharacteristic
561C2#7223181014yesdirect product factor
562C2C22×#2389711yescharacteristic
563C2C2×#643744511yescharacteristic
subgroupG/H
center, socleC23C2×#2403
commutator, Frattini, cosocleC23×C4C26
LCSG ▷ C23×C4 ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ C25×C4 ◁ G
LECSG ▷ C23×C4 ▷ C22 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#8547C2semidirect
2. C2×#201462C2semidirect
3. C2×#249355C2semidirect
4. C2×#201322C2semidirect
5. C2×#249331C2semidirect
6. C2×#6346594C2semidirect
7. C2×#249319C2semidirect
8. C2×#7642273C2semidirect
9. C2×#234948C2semidirect
10. C22×#35346C2semidirect
11. #72231810C2direct (N × H)
12. C2×#6628867C2semidirect
13. C24×H(5,𝔽2)C22semidirect
14. C22×#3490C22semidirect
16. C2×#60359C22semidirect
17. #7642273C22semidirect
18. C2×#36703C22semidirect
19. C2×#35390C22semidirect
20. C2×#35367C22semidirect
22. C2×#35346C22semidirect
23. C2×#35346C22semidirect
25. C2×#35050C22semidirect
27. C22×#2404C22semidirect
28. C2×#34176C22semidirect
29. C22×#2308C22semidirect
30. #6628867C22semidirect
31. C2×#32891C22semidirect
32. C2×#32888C22semidirect
33. C2×#20605C22semidirect
34. C22×#1783C22semidirect
35. #6346594C22semidirect
36. C2×#18144C22semidirect
37. C2×#18133C22semidirect
38. C2×#18132C22semidirect
39. C2×#17587C22semidirect
40. C22×#1462C22semidirect
41. C22×#1462C22semidirect
42. #249355C22semidirect
43. #249331C22semidirect
44. #249319C22semidirect
45. #234948C22semidirect
46. C2×#9942C22semidirect
47. C2×#9938C22semidirect
48. #201462C22semidirect
49. C2×#9479C22semidirect
50. C2×#9475C22semidirect
51. #201322C22semidirect
52. C2×#9463C22semidirect
53. C2×#9459C22semidirect
54. C2×#8547C22semidirect
55. C2×#8547C22semidirect
56. C2×#8547C22semidirect
57. C2×#7943C22semidirect
60. C23×H(5,𝔽2)C23semidirect
65. C2×#3490C23semidirect
66. C22×#535D4semidirect
67. C22×#538C23semidirect
68. C22×#543C23semidirect
69. C22×#534C23semidirect
80. #60359C23semidirect
81. C2×#3007C23semidirect
82. C2×#3006C23semidirect
84. #36703C23semidirect
85. #35390C23semidirect
86. #35367C23semidirect
88. #35346C23semidirect
89. #35222D4semidirect
91. #35050C23semidirect
92. C2×#2561C23semidirect
93. C2×#2539C23semidirect
94. C2×#2404D4semidirect
95. C2×#2404D4semidirect
100. C2×#2404C23semidirect
101. C2×#2435D4semidirect
103. C2×#2433D4semidirect
105. C22×#393D4semidirect
106. C22×#392D4semidirect
107. #34176C23semidirect
108. C2×#2312C23semidirect
109. C2×#2309D4semidirect
111. C2×#2308C23semidirect
114. C2×#2273C23semidirect
115. #32891C23semidirect
116. #32888C23semidirect
117. #20605C23semidirect
118. C2×#1789C23semidirect
120. C2×#1783C23semidirect
121. #18144C23semidirect
122. #18133C23semidirect
123. #18132C23semidirect
124. #17587C23semidirect
125. C2×#1511C23semidirect
126. C2×#1510C23semidirect
127. C2×#1462C23semidirect
128. C2×#1462C23semidirect
129. C2×#1462C23semidirect
130. C2×#1462C23semidirect
131. C2×#1462C23semidirect
132. #9942C23semidirect
133. #9938C23semidirect
134. #9479C23semidirect
135. #9475C23semidirect
136. #9463C23semidirect
137. #9459C23semidirect
138. #8547C23semidirect
139. #8547C23semidirect
140. #7943C23semidirect
141. C2×#1284C23semidirect
150. C23×#41C2×D4semidirect
151. C23×#41C2×D4semidirect
152. C23×#41C2×D4semidirect
155. C24×Q8C2×D4semidirect
167. C24×D4C2×D4semidirect
173. C2×#543C24semidirect
174. C2×#538C24semidirect
175. C2×#535C2×D4semidirect
176. C2×#534C24semidirect
177. C22×#127C2×D4semidirect
178. C22×#124C2×D4semidirect
179. C2×#525C2×D4semidirect
181. C22×C22⋊Q8C2×D4semidirect
183. C22×#121C2×D4semidirect
191. C22×#117C2×D4semidirect
192. C22×#117C2×D4semidirect
209. #3007C24semidirect
210. #3006C24semidirect
213. #2561C24semidirect
214. #2539C24semidirect
215. #2435C2×D4semidirect
216. #2435C2×D4semidirect
218. #2433C2×D4semidirect
219. #2433C2×D4semidirect
222. #2404C2×D4semidirect
223. #2404C2×D4semidirect
228. C2×#393C2×D4semidirect
229. C2×#393C2×D4semidirect
231. C2×#392C2×D4semidirect
232. C2×#392C2×D4semidirect
233. #2312C24semidirect
234. #2309C2×D4semidirect
236. C2×#390C2×D4semidirect
237. C2×#390C2×D4semidirect
238. #2280C2×D4semidirect
240. C2×#381C2×D4semidirect
241. C2×#381C2×D4semidirect
244. #2273C24semidirect
245. C2×C4×C22⋊C4C2×D4semidirect
247. C22×#95C2×D4semidirect
248. #1789C24semidirect
250. #1511C24semidirect
251. #1510C24semidirect
252. #1462C24semidirect
253. #1462C24semidirect
254. #1462C24semidirect
255. #1284C24semidirect
278. C22×#41C22×D4semidirect
279. C22×#41C22×D4semidirect
282. C23×Q8C22×D4semidirect
283. C23×Q8C22×D4semidirect
299. C23×D4C22×D4semidirect
300. C23×D4C22×D4semidirect
323. C2×#127C22×D4semidirect
324. C2×#124C22×D4semidirect
325. C2×C22⋊Q8C22×D4semidirect
326. C2×C22⋊Q8C22×D4semidirect
328. C2×#121C22×D4semidirect
329. C2×#121C22×D4semidirect
331. C2×#117C22×D4semidirect
332. C2×#117C22×D4semidirect
333. C22×C4⋊C4C22×D4semidirect
334. C22×C4⋊C4C22×D4semidirect
358. C22×C42C22×D4semidirect
361. #393C22×D4semidirect
363. #392C22×D4semidirect
364. #390C22×D4semidirect
365. #390C22×D4semidirect
367. #381C22×D4semidirect
369. C4×C22⋊C4C22×D4semidirect
370. C4×C22⋊C4C22×D4semidirect
373. C2×#95C22×D4semidirect
406. C22×Q8C23×D4semidirect
411. C22×D4C23×D4semidirect
458. C2×C4⋊C4C23×D4semidirect
459. C2×C4⋊C4C23×D4semidirect
466. C2×C42C23×D4semidirect
478. C24#3019semidirect
539. C23C2×#3019semidirect
561. C2#72231810direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#85472
C2×#2014622
C2×#2493552
C2×#2013222
C2×#2493312
C2×#63465942
C2×#2493192
C2×#76422732
C2×#2349482
C22×#353462
#722318102
C2×#66288672