Finite Group Databasebeta

← C2×#19149248 #26004140

Subgroups — C2×#19149248 #26004140

Order 11008.

6694 conjugacy classes of subgroups.

The subgroup lattice has 1904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149248C2132yesmaximal, direct product factor
2C2×#14583651C211yesmaximal, characteristic, complemented
3C2×#14583644C211yesmaximal, characteristic, complemented
4C2×#14583644C211yesmaximal, characteristic, complemented
5C2×#14583637C211yesmaximal, characteristic, complemented
6C2×#14583633C211yesmaximal, characteristic, complemented
7C2×#14583619C211yesmaximal, characteristic, complemented
8C2×#14583613C211yesmaximal, characteristic, complemented
9C2×#14583599C211yesmaximal, characteristic, complemented
10C2×#14583598C211yesmaximal, characteristic, complemented
11C2×#14583584C211yesmaximal, characteristic, complemented
12C2×#14583582C211yesmaximal, characteristic, complemented
13C2×#14583581C211yesmaximal, characteristic, complemented
14C2×#14583578C211yesmaximal, characteristic, complemented
15C2×#14583574C211yesmaximal, characteristic, complemented
16C2×#14583572C211yesmaximal, characteristic, complemented
17C2×#14583520C211yesmaximal, characteristic, complemented
18C2×#14583515C211yesmaximal, characteristic, complemented
19C2×#14583514C211yesmaximal, characteristic, complemented
20C2×#14583508C211yesmaximal, characteristic, complemented
21C2×#14583506C211yesmaximal, characteristic, complemented
22C2×#14583502C211yesmaximal, characteristic, complemented
23C2×#14583496C211yesmaximal, characteristic, complemented
24C2×#14583494C211yesmaximal, characteristic, complemented
25C2×#14583492C211yesmaximal, characteristic, complemented
26C2×#14583482C211yesmaximal, characteristic, complemented
27C2×#14583481C211yesmaximal, characteristic, complemented
28C2×#14583481C211yesmaximal, characteristic, complemented
29C2×#14583429C211yesmaximal, characteristic, complemented
30C2×#14583429C211yesmaximal, characteristic, complemented
31C2×#14583426C211yesmaximal, characteristic, complemented
32C2×C43×#553C211yesmaximal, characteristic, complemented
33#14583651C22116yescomplemented
34#14583644C22116yescomplemented
35#14583644C22116yescomplemented
36#14583637C22116yescomplemented
37#14583633C22116yescomplemented
38#14583619C22116yescomplemented
39#14583613C22116yescomplemented
40#14583599C22116yescomplemented
41#14583598C22116yescomplemented
42#14583584C22116yescomplemented
43#14583582C22116yescomplemented
44#14583581C22116yescomplemented
45#14583578C22116yescomplemented
46#14583574C22116yescomplemented
47#14583572C22116yescomplemented
48#14583520C22116yescomplemented
49#14583515C22116yescomplemented
50#14583514C22116yescomplemented
51#14583508C22116yescomplemented
52#14583506C22116yescomplemented
53#14583502C22116yescomplemented
54#14583496C22116yescomplemented
55#14583494C22116yescomplemented
56#14583492C22116yescomplemented
57#14583482C22116yescomplemented
58#14583481C22116yescomplemented
59#14583481C22116yescomplemented
60C2×#13063325C2211yescharacteristic, complemented
61C2×#13063324C2211yescharacteristic, complemented
62C2×#13063324C2211yescharacteristic, complemented
63C2×#13063321C2211yescharacteristic
64#14583429C22116yescomplemented
65#14583429C22116yescomplemented
66#14583426C22116yescomplemented
67C2×#13063320C2211yescharacteristic
68C2×#13063320C2211yescharacteristic
69C2×#13063320C2211yescharacteristic
70C2×#13063320C2211yescharacteristic
71C2×#13063320C2211yescharacteristic
72C2×#13063320C2211yescharacteristic
73C2×#13063320C2211yescharacteristic
74C2×#13063320C2211yescharacteristic, complemented
75C2×#13063319C2211yescharacteristic
76C2×#13063319C2211yescharacteristic
77C2×#13063318C2211yescharacteristic
78C2×#13063318C2211yescharacteristic
79C2×#13063318C2211yescharacteristic
80C2×#13063318C2211yescharacteristic
81C2×#13063318C2211yescharacteristic, complemented
82C2×#13063318C2211yescharacteristic, complemented
83C2×#13063318C2211yescharacteristic, complemented
84C2×#13063318C2211yescharacteristic, complemented
85C2×#13063317C2211yescharacteristic, complemented
86C2×#13063316C2211yescharacteristic, complemented
87C2×#13063316C2211yescharacteristic, complemented
88C2×#13063315C2211yescharacteristic, complemented
89C2×#13063315C2211yescharacteristic, complemented
90C2×#13063315C2211yescharacteristic, complemented
91C2×#13063315C2211yescharacteristic, complemented
92C2×#13063315C2211yescharacteristic, complemented
93C2×#13063315C2211yescharacteristic, complemented
94C2×#13063315C2211yescharacteristic, complemented
95C2×#13063315C2211yescharacteristic, complemented
96C2×#13063313C2211yescharacteristic
97C2×#13063312C2211yescharacteristic
98C2×#13063312C2211yescharacteristic
99C2×#13063312C2211yescharacteristic, complemented
100C2×#13063311C2211yescharacteristic
101C2×#13063311C2211yescharacteristic
102C2×#13063311C2211yescharacteristic
103C2×#13063311C2211yescharacteristic
104C2×#13063311C2211yescharacteristic
105C2×#13063311C2211yescharacteristic
106C2×#13063311C2211yescharacteristic, complemented
107C2×#13063311C2211yescharacteristic, complemented
108C2×#13063310C2211yescharacteristic
109C2×#13063310C2211yescharacteristic
110C2×#13063310C2211yescharacteristic
111C2×#13063310C2211yescharacteristic
112C2×#13063309C2211yescharacteristic
113C2×#13063309C2211yescharacteristic
114C2×#13063309C2211yescharacteristic, complemented
115C2×#13063308C2211yescharacteristic
116C2×#13063308C2211yescharacteristic
117C2×#13063308C2211yescharacteristic
118C2×#13063308C2211yescharacteristic
119C2×#13063308C2211yescharacteristic
120C2×#13063308C2211yescharacteristic, complemented
121C2×#13063307C2211yescharacteristic
122C2×#13063307C2211yescharacteristic
123C2×#13063307C2211yescharacteristic
124C2×#13063307C2211yescharacteristic, complemented
125C2×#13063306C2211yescharacteristic
126C2×#13063306C2211yescharacteristic
127C2×#13063306C2211yescharacteristic
128C2×#13063306C2211yescharacteristic, complemented
129C2×#13063306C2211yescharacteristic, complemented
130C2×#13063305C2211yescharacteristic
131C2×#13063305C2211yescharacteristic
132C2×#13063304C2211yescharacteristic
133C2×#13063304C2211yescharacteristic, complemented
134C2×#13063304C2211yescharacteristic, complemented
135C2×#13063304C2211yescharacteristic, complemented
136C2×#13063303C2211yescharacteristic
137C2×#13063303C2211yescharacteristic
138C2×#13063303C2211yescharacteristic
139C2×#13063303C2211yescharacteristic
140C2×#13063303C2211yescharacteristic, complemented
141C2×#13063303C2211yescharacteristic, complemented
142C2×#13063302C2211yescharacteristic
143C2×#13063302C2211yescharacteristic
144C2×#13063302C2211yescharacteristic, complemented
145C2×#13063302C2211yescharacteristic, complemented
146C2×#13063302C2211yescharacteristic, complemented
147C2×#13063302C2211yescharacteristic, complemented
148C2×#13063299C2211yescharacteristic
149C2×#13063299C2211yescharacteristic
150C2×#13063298C2211yescharacteristic
151C2×#13063298C2211yescharacteristic
152C2×#13063297C2211yescharacteristic
153C2×#13063297C2211yescharacteristic
154C2×#13063297C2211yescharacteristic
155C2×#13063297C2211yescharacteristic
156C2×#13063297C2211yescharacteristic
157C2×#13063297C2211yescharacteristic, complemented
158C2×#13063296C2211yescharacteristic
159C2×#13063296C2211yescharacteristic
160C2×#13063296C2211yescharacteristic
161C2×#13063296C2211yescharacteristic, complemented
162C2×#13063295C2211yescharacteristic
163C2×#13063293C2211yescharacteristic
164C2×#13063293C2211yescharacteristic
165C2×#13063293C2211yescharacteristic
166C2×C4×Dic86C2211yescharacteristic, complemented
167C2×C4×Dic86C2211yescharacteristic, complemented
168C2×C4×Dic86C2211yescharacteristic, complemented
169C2×#13063290C2211yescharacteristic, complemented
170C2×#13063290C2211yescharacteristic, complemented
171C2×#13063290C2211yescharacteristic, complemented
172C2×C4×D172C2211yescharacteristic
173C2×D4×Dic43C2211yescharacteristic
174C2×D4×Dic43C2211yescharacteristic, complemented
175C2×#13063287C2211yescharacteristic
176C2×C4×C22⋊D43C2211yescharacteristic
177C2×C4×C22⋊D43C2211yescharacteristic
178C2×C4×C22⋊D43C2211yescharacteristic
179C2×C4×C22⋊D43C2211yescharacteristic
180C2×C4×C22⋊D43C2211yescharacteristic, complemented
181C2×C4×C22⋊D43C2211yescharacteristic, complemented
182C2×(C22⋊D43)⋊C4C2211yescharacteristic
183C2×(C22⋊D43)⋊C4C2211yescharacteristic
184C2×(C22⋊D43)⋊C4C2211yescharacteristic
185C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
186C2×#13063284C2211yescharacteristic
187C2×#13063284C2211yescharacteristic, complemented
188C2×#13063284C2211yescharacteristic, complemented
189C2×#13063283C2211yescharacteristic
190C2×#13063283C2211yescharacteristic
191C2×#13063283C2211yescharacteristic, complemented
192C2×#13063282C2211yescharacteristic
193C2×#13063282C2211yescharacteristic
194C2×#13063282C2211yescharacteristic, complemented
195C2×#13063281C2211yescharacteristic
196C2×#13063281C2211yescharacteristic, complemented
197C22×Dic43⋊C4C2211yescharacteristic, complemented
198C2×C4⋊C4×D43C2211yescharacteristic, complemented
199C22×(C2×D43)⋊C4C2211yescharacteristic
200C2×C22⋊C4×D43C2211yescharacteristic
201C2×C22⋊C4×D43C2211yescharacteristic
202C22×C4×Dic43C2211yescharacteristic, complemented
203C43×#553C22116yescomplemented
204C2×#126×C43C2211yescharacteristic
205C2×#126×C43C2211yescharacteristic, complemented
206C2×#125×C43C2211yescharacteristic, complemented
207C2×#123×C43C2211yescharacteristic
208C2×#123×C43C2211yescharacteristic, complemented
209C2×#121×C43C2211yescharacteristic
210C2×#121×C43C2211yescharacteristic
211C2×#121×C43C2211yescharacteristic
212C2×#121×C43C2211yescharacteristic, complemented
213C2×C4×D4×C43C2211yescharacteristic
214C2×C4×D4×C43C2211yescharacteristic
215C2×C4×D4×C43C2211yescharacteristic, complemented
216C2×C4×D4×C43C2211yescharacteristic, complemented
217C2×#117×C43C2211yescharacteristic, complemented
218C22×C4⋊C4×C43C2211yescharacteristic, complemented
219C24×D43C2311yescharacteristic
220C22×Dic86C2311yescharacteristic
221C22×Dic86C2311yescharacteristic
222C22×Dic86C2311yescharacteristic
223C22×Dic86C2311yescharacteristic
224C22×Dic86C2311yescharacteristic
225C22×Dic86C2311yescharacteristic
226C22×D172C2311yescharacteristic
227C22×D172C2311yescharacteristic
228C22×C22⋊D43C2311yescharacteristic
229C22×C22⋊D43C2311yescharacteristic
230C22×C22⋊D43C2311yescharacteristic
231C22×C22⋊D43C2311yescharacteristic
232C22×C22⋊D43C2311yescharacteristic
233C22×C22⋊D43C2311yescharacteristic
234C22×C22⋊D43C2311yescharacteristic
235C22×C22⋊D43C2311yescharacteristic
236C22×C22⋊D43C2311yescharacteristic
237C22×C22⋊D43C2311yescharacteristic
238C23×Dic43C2311yescharacteristic
239C23×Dic43C2311yescharacteristic
240C23×Dic43C2311yescharacteristic
241C23×Dic43C2311yescharacteristic
242C23×Dic43C2311yescharacteristic
243C22×C4×D43C2311yescharacteristic
244C22×C4×D43C2311yescharacteristic
245C22×C4×D43C2311yescharacteristic
246C22×C4×D43C2311yescharacteristic
247C22×C4×D43C2311yescharacteristic
248C22×C4×D43C2311yescharacteristic
249C22×C4×D43C2311yescharacteristic
250#13063325C2318yescomplemented
251#13063324C2318yescomplemented
252#13063324C2318yescomplemented
253#13063321C2318yes—
254#13063320C2318yes—
255#13063320C2318yes—
256#13063320C2318yes—
257#13063320C2318yes—
258#13063320C2318yes—
259#13063320C2318yes—
260#13063320C2318yes—
261#13063320C2318yescomplemented
262#13063319C2318yes—
263#13063319C2318yes—
264#13063318C2318yes—
265#13063318C2318yes—
266#13063318C2318yes—
267#13063318C2318yes—
268#13063318C2318yescomplemented
269#13063318C2318yescomplemented
270#13063318C2318yescomplemented
271#13063318C2318yescomplemented
272#13063317C2318yescomplemented
273#13063316C2318yescomplemented
274#13063316C2318yescomplemented
275#13063315C2318yescomplemented
276#13063315C2318yescomplemented
277#13063315C2318yescomplemented
278#13063315C2318yescomplemented
279#13063315C2318yescomplemented
280#13063315C2318yescomplemented
281#13063315C2318yescomplemented
282#13063315C2318yescomplemented
283#13063313C2318yes—
284#13063312C2318yes—
285#13063312C2318yes—
286#13063312C2318yescomplemented
287#13063311C2318yes—
288#13063311C2318yes—
289#13063311C2318yes—
290#13063311C2318yes—
291#13063311C2318yes—
292#13063311C2318yes—
293#13063311C2318yescomplemented
294#13063311C2318yescomplemented
295#13063310C2318yes—
296#13063310C2318yes—
297#13063310C2318yes—
298#13063310C2318yes—
299#13063309C2318yes—
300#13063309C2318yes—
301#13063309C2318yescomplemented
302#13063308C2318yes—
303#13063308C2318yes—
304#13063308C2318yes—
305#13063308C2318yes—
306#13063308C2318yes—
307#13063308C2318yescomplemented
308#13063307C2318yes—
309#13063307C2318yes—
310#13063307C2318yes—
311#13063307C2318yescomplemented
312#13063306C2318yes—
313#13063306C2318yes—
314#13063306C2318yes—
315#13063306C2318yescomplemented
316#13063306C2318yescomplemented
317#13063305C2318yes—
318#13063305C2318yes—
319#13063304C2318yes—
320#13063304C2318yescomplemented
321#13063304C2318yescomplemented
322#13063304C2318yescomplemented
323#13063303C2318yes—
324#13063303C2318yes—
325#13063303C2318yes—
326#13063303C2318yes—
327#13063303C2318yescomplemented
328#13063303C2318yescomplemented
329#13063302C2318yes—
330#13063302C2318yes—
331#13063302C2318yescomplemented
332#13063302C2318yescomplemented
333#13063302C2318yescomplemented
334#13063302C2318yescomplemented
335#13063299C2318yes—
336#13063299C2318yes—
337#13063298C2318yes—
338#13063298C2318yes—
339#13063297C2318yes—
340#13063297C2318yes—
341#13063297C2318yes—
342#13063297C2318yes—
343#13063297C2318yes—
344#13063297C2318yescomplemented
345#13063296C2318yes—
346#13063296C2318yes—
347#13063296C2318yes—
348#13063296C2318yescomplemented
349#13063295C2318yes—
350#13063293C2318yes—
351#13063293C2318yes—
352#13063293C2318yes—
353C4×Dic86C2318yescomplemented
354C4×Dic86C2318yescomplemented
355C4×Dic86C2318yescomplemented
356#13063290C2318yescomplemented
357#13063290C2318yescomplemented
358#13063290C2318yescomplemented
359C4×D172C2318yes—
360D4×Dic43C2318yes—
361D4×Dic43C2318yescomplemented
362#13063287C2318yes—
363C4×C22⋊D43C2318yes—
364C4×C22⋊D43C2318yes—
365C4×C22⋊D43C2318yes—
366C4×C22⋊D43C2318yes—
367C4×C22⋊D43C2318yescomplemented
368C4×C22⋊D43C2318yescomplemented
369(C22⋊D43)⋊C4C2318yes—
370(C22⋊D43)⋊C4C2318yes—
371(C22⋊D43)⋊C4C2318yes—
372(C22⋊D43)⋊C4C2318yescomplemented
373#13063284C2318yes—
374#13063284C2318yescomplemented
375#13063284C2318yescomplemented
376#13063283C2318yes—
377#13063283C2318yes—
378#13063283C2318yescomplemented
379#13063282C2318yes—
380#13063282C2318yes—
381#13063282C2318yescomplemented
382#13063281C2318yes—
383#13063281C2318yescomplemented
384C2×C4⋊Dic43C2311yescharacteristic
385C2×C4⋊Dic43C2311yescharacteristic
386C2×C4⋊Dic43C2311yescharacteristic
387C2×C4⋊Dic43C2311yescharacteristic
388C2×C4⋊Dic43C2311yescharacteristic
389C2×C4⋊Dic43C2311yescharacteristic
390C2×C4⋊Dic43C2311yescharacteristic
391C2×C4⋊Dic43C2311yescharacteristic
392C2×C4⋊Dic43C2311yescharacteristic
393C2×C4⋊Dic43C2311yescharacteristic
394C2×C4⋊Dic43C2311yescharacteristic
395C2×C4⋊Dic43C2311yescharacteristic
396C2×Dic43⋊C4C2311yescharacteristic
397C2×Dic43⋊C4C2311yescharacteristic
398C2×Dic43⋊C4C2311yescharacteristic
399C2×Dic43⋊C4C2311yescharacteristic
400C2×Dic43⋊C4C2311yescharacteristic
401C2×Dic43⋊C4C2311yescharacteristic
402C2×Dic43⋊C4C2311yescharacteristic
403C2×Dic43⋊C4C2311yescharacteristic
404C2×Dic43⋊C4C2311yescharacteristic
405C2×Dic43⋊C4C2311yescharacteristic
406C2×Dic43⋊C4C2311yescharacteristic
407C2×Dic43⋊C4C2311yescharacteristic
408C2×Dic43⋊C4C2311yescharacteristic
409C2×Dic43⋊C4C2311yescharacteristic
410C2×Dic43⋊C4C2311yescharacteristic
411C2×Dic43⋊C4C2311yescharacteristic
412C2×Dic43⋊C4C2311yescharacteristic
413C2×Dic43⋊C4C2311yescharacteristic
414C2×Dic43⋊C4C2311yescharacteristic
415C2×Dic43⋊C4C2311yescharacteristic
416C2×Dic43⋊C4C2311yescharacteristic
417C2×Dic43⋊C4C2311yescharacteristic
418C2×Dic43⋊C4C2311yescharacteristic
419C2×Dic43⋊C4C2311yescharacteristic
420C2×Dic43⋊C4C2311yescharacteristic
421C2×Dic43⋊C4C2311yescharacteristic
422C2×Dic43⋊C4C2318yescomplemented
423C4⋊C4×D43C2318yescomplemented
424C2×C22⋊Dic43C2311yescharacteristic
425C2×C22⋊Dic43C2311yescharacteristic
426C2×C22⋊Dic43C2311yescharacteristic
427C2×C22⋊Dic43C2311yescharacteristic
428C2×C22⋊Dic43C2311yescharacteristic
429C2×C22⋊Dic43C2311yescharacteristic
430C2×C22⋊Dic43C2311yescharacteristic
431C2×C22⋊Dic43C2311yescharacteristic
432C2×C22⋊Dic43C2311yescharacteristic
433C2×C22⋊Dic43C2311yescharacteristic
434C2×C22⋊Dic43C2311yescharacteristic
435C2×C22⋊Dic43C2311yescharacteristic
436C2×C22⋊Dic43C2311yescharacteristic
437C2×C22⋊Dic43C2311yescharacteristic
438C2×C22⋊Dic43C2311yescharacteristic
439C2×C22⋊Dic43C2311yescharacteristic
440C2×(C2×D43)⋊C4C2318yes—
441C2×(C2×D43)⋊C4C2311yescharacteristic
442C2×(C2×D43)⋊C4C2311yescharacteristic
443C2×(C2×D43)⋊C4C2311yescharacteristic
444C2×(C2×D43)⋊C4C2311yescharacteristic
445C2×(C2×D43)⋊C4C2311yescharacteristic
446C2×(C2×D43)⋊C4C2311yescharacteristic
447C2×(C2×D43)⋊C4C2311yescharacteristic
448C2×(C2×D43)⋊C4C2311yescharacteristic
449C2×(C2×D43)⋊C4C2311yescharacteristic
450C2×(C2×D43)⋊C4C2311yescharacteristic
451C2×(C2×D43)⋊C4C2311yescharacteristic
452C2×(C2×D43)⋊C4C2311yescharacteristic
453C2×(C2×D43)⋊C4C2311yescharacteristic
454C2×(C2×D43)⋊C4C2311yescharacteristic
455C2×(C2×D43)⋊C4C2311yescharacteristic
456C2×(C2×D43)⋊C4C2311yescharacteristic
457C2×(C2×D43)⋊C4C2311yescharacteristic
458C2×(C2×D43)⋊C4C2311yescharacteristic
459C2×(C2×D43)⋊C4C2311yescharacteristic
460C2×(C2×D43)⋊C4C2311yescharacteristic
461C2×(C2×D43)⋊C4C2311yescharacteristic
462C2×(C2×D43)⋊C4C2311yescharacteristic
463C22⋊C4×D43C2318yes—
464C22⋊C4×D43C2318yes—
465C2×C4×Dic43C2311yescharacteristic
466C2×C4×Dic43C2311yescharacteristic
467C2×C4×Dic43C2311yescharacteristic
468C2×C4×Dic43C2311yescharacteristic
469C2×C4×Dic43C2311yescharacteristic
470C2×C4×Dic43C2311yescharacteristic
471C2×C4×Dic43C2311yescharacteristic
472C2×C4×Dic43C2311yescharacteristic
473C2×C4×Dic43C2311yescharacteristic
474C2×C4×Dic43C2311yescharacteristic
475C2×C4×Dic43C2311yescharacteristic
476C2×C4×Dic43C2311yescharacteristic
477C2×C4×Dic43C2311yescharacteristic
478C2×C4×Dic43C2318yescomplemented
479C22×D4×C43C2311yescharacteristic
480C22×D4×C43C2311yescharacteristic
481C22×D4×C43C2311yescharacteristic
482C22×D4×C43C2311yescharacteristic
483C22×D4×C43C2311yescharacteristic
484C22×D4×C43C2311yescharacteristic
485C23×C4×C43C2311yescharacteristic
486C23×C4×C43C2311yescharacteristic
487C23×C4×C43C2311yescharacteristic
488C23×C4×C43C2311yescharacteristic
489C23×C4×C43C2311yescharacteristic
490C23×C4×C43C2311yescharacteristic
491#126×C43C2318yes—
492#126×C43C2318yescomplemented
493#125×C43C2318yescomplemented
494#123×C43C2318yes—
495#123×C43C2318yescomplemented
496#121×C43C2318yes—
497#121×C43C2318yes—
498#121×C43C2318yes—
499#121×C43C2318yescomplemented
500C4×D4×C43C2318yes—
501C4×D4×C43C2318yes—
502C4×D4×C43C2318yescomplemented
503C4×D4×C43C2318yescomplemented
504#117×C43C2318yescomplemented
505C2×C4⋊C4×C43C2311yescharacteristic
506C2×C4⋊C4×C43C2311yescharacteristic
507C2×C4⋊C4×C43C2311yescharacteristic
508C2×C4⋊C4×C43C2311yescharacteristic
509C2×C4⋊C4×C43C2311yescharacteristic
510C2×C4⋊C4×C43C2311yescharacteristic
511C2×C4⋊C4×C43C2311yescharacteristic
512C2×C4⋊C4×C43C2311yescharacteristic
513C2×C4⋊C4×C43C2311yescharacteristic
514C2×C4⋊C4×C43C2311yescharacteristic
515C2×C4⋊C4×C43C2318yescomplemented
516C2×C22⋊C4×C43C2311yescharacteristic
517C2×C22⋊C4×C43C2311yescharacteristic
518C2×C22⋊C4×C43C2311yescharacteristic
519C2×C22⋊C4×C43C2311yescharacteristic
520C2×C22⋊C4×C43C2311yescharacteristic
521C2×C22⋊C4×C43C2311yescharacteristic
522C2×C22⋊C4×C43C2311yescharacteristic
523C2×C22⋊C4×C43C2311yescharacteristic
524C2×C22⋊C4×C43C2311yescharacteristic
525C2×C22⋊C4×C43C2311yescharacteristic
526C2×C42×C43C2311yescharacteristic
527C2×C42×C43C2311yescharacteristic
528C2×C42×C43C2311yescharacteristic
529C24×C43C2411yescharacteristic
530C24×C43C2411yescharacteristic
531C24×C43C2411yescharacteristic
532C24×C43C2411yescharacteristic
533C23×D43—42no—
534C23×D43—42no—
535C23×D43—42no—
536C23×D43C2411yescharacteristic
537C23×D43C2411yescharacteristic
538C23×D43C2411yescharacteristic
539C23×D43C2414yes—
540C2×D4×C43—42no—
541C2×D4×C43—42no—
542C2×D4×C43—42no—
543C2×D4×C43—42no—
544C2×D4×C43—42no—
545C2×D4×C43—42no—
546C2×D4×C43C2414yes—
547C2×D4×C43C2414yes—
548C2×D4×C43C2414yes—
549C2×D4×C43C2414yes—
550C2×D4×C43C2414yes—
551C2×D4×C43C2414yes—
552C22×C4×C43—42no—
553C22×C4×C43—42no—
554C22×C4×C43—42no—
555C22×C4×C43—42no—
556C22×C4×C43—42no—
557C22×C4×C43—42no—
558C22×C4×C43C2411yescharacteristic
559C22×C4×C43C2411yescharacteristic
560C22×C4×C43C2411yescharacteristic
561C22×C4×C43C2411yescharacteristic
562C22×C4×C43C2411yescharacteristic
563C22×C4×C43C2411yescharacteristic
564C22×C4×C43C2411yescharacteristic
565C22×C4×C43C2411yescharacteristic
566C22×C4×C43C2411yescharacteristic
567C22×C4×C43C2411yescharacteristic
568C22×C4×C43C2411yescharacteristic
569C22×C4×C43C2414yes—
570C22×C4×C43C2414yes—
571C22×C4×C43C2414yes—
572C22×C4×C43C2414yes—
573C22×C4×C43C2414yes—
574C22×C4×C43C2414yes—
575C2×C22⋊D43—42no—
576C2×C22⋊D43—42no—
577C2×C22⋊D43—42no—
578C2×C22⋊D43—42no—
579C2×C22⋊D43—42no—
580C2×C22⋊D43—42no—
581C2×C22⋊D43—42no—
582C2×C22⋊D43—42no—
583C2×C22⋊D43—42no—
584C2×C22⋊D43—42no—
585C2×C22⋊D43C2414yes—
586C2×C22⋊D43C2414yes—
587C2×C22⋊D43C2414yes—
588C2×C22⋊D43C2414yes—
589C2×C22⋊D43C2414yes—
590C2×C22⋊D43C2414yes—
591C2×C22⋊D43C2414yes—
592C2×C22⋊D43C2414yes—
593C2×C22⋊D43C2414yes—
594C2×C22⋊D43C2414yes—
595C22×Dic43—42no—
596C22×Dic43—42no—
597C22×Dic43—42no—
598C22×Dic43—42no—
599C22×Dic43—42no—
600C22×Dic43C2411yescharacteristic
601C22×Dic43C2411yescharacteristic
602C22×Dic43C2411yescharacteristic
603C22×Dic43C2411yescharacteristic
604C22×Dic43C2411yescharacteristic
605C22×Dic43C2411yescharacteristic
606C22×Dic43C2411yescharacteristic
607C22×Dic43C2411yescharacteristic
608C22×Dic43C2411yescharacteristic
609C22×Dic43C2411yescharacteristic
610C22×Dic43C2411yescharacteristic
611C22×Dic43C2411yescharacteristic
612C22×Dic43C2411yescharacteristic
613C22×Dic43C2414yes—
614C22×Dic43C2414yes—
615C22×Dic43C2414yes—
616C22×Dic43C2414yes—
617C22×Dic43C2414yes—
618C2×D172—42no—
619C2×D172—42no—
620C2×D172C2414yes—
621C2×D172C2414yes—
622C2×C4×D43—42no—
623C2×C4×D43—42no—
624C2×C4×D43—42no—
625C2×C4×D43—42no—
626C2×C4×D43—42no—
627C2×C4×D43—42no—
628C2×C4×D43—42no—
629C2×C4×D43C2414yes—
630C2×C4×D43C2414yes—
631C2×C4×D43C2414yes—
632C2×C4×D43C2414yes—
633C2×C4×D43C2414yes—
634C2×C4×D43C2414yes—
635C2×C4×D43C2414yes—
636C2×Dic86—42no—
637C2×Dic86—42no—
638C2×Dic86—42no—
639C2×Dic86—42no—
640C2×Dic86—42no—
641C2×Dic86—42no—
642C2×Dic86C2414yes—
643C2×Dic86C2414yes—
644C2×Dic86C2414yes—
645C2×Dic86C2414yes—
646C2×Dic86C2414yes—
647C2×Dic86C2414yes—
648C4⋊C4×C43C2414yes—
649C4⋊C4×C43C2414yes—
650C4⋊C4×C43C2414yes—
651C4⋊C4×C43C2414yes—
652C4⋊C4×C43C2414yes—
653C4⋊C4×C43C2414yes—
654C4⋊C4×C43C2414yes—
655C4⋊C4×C43C2414yes—
656C4⋊C4×C43C2414yes—
657C4⋊C4×C43C2414yes—
658C22⋊C4×C43C2414yes—
659C22⋊C4×C43C2414yes—
660C22⋊C4×C43C2414yes—
661C22⋊C4×C43C2414yes—
662C22⋊C4×C43C2414yes—
663C22⋊C4×C43C2414yes—
664C22⋊C4×C43C2414yes—
665C22⋊C4×C43C2414yes—
666C22⋊C4×C43C2414yes—
667C22⋊C4×C43C2414yes—
668C42×C43C2414yes—
669C42×C43C2414yes—
670C42×C43C2414yes—
671C22⋊Dic43C2414yes—
672C22⋊Dic43C2414yes—
673C22⋊Dic43C2414yes—
674C22⋊Dic43C2414yes—
675C22⋊Dic43C2414yes—
676C22⋊Dic43C2414yes—
677C22⋊Dic43C2414yes—
678C22⋊Dic43C2414yes—
679C22⋊Dic43C2414yes—
680C22⋊Dic43C2414yes—
681C22⋊Dic43C2414yes—
682C22⋊Dic43C2414yes—
683C22⋊Dic43C2414yes—
684C22⋊Dic43C2414yes—
685C22⋊Dic43C2414yes—
686C22⋊Dic43C2414yes—
687(C2×D43)⋊C4C2414yes—
688(C2×D43)⋊C4C2414yes—
689(C2×D43)⋊C4C2414yes—
690(C2×D43)⋊C4C2414yes—
691(C2×D43)⋊C4C2414yes—
692(C2×D43)⋊C4C2414yes—
693(C2×D43)⋊C4C2414yes—
694(C2×D43)⋊C4C2414yes—
695(C2×D43)⋊C4C2414yes—
696(C2×D43)⋊C4C2414yes—
697(C2×D43)⋊C4C2414yes—
698(C2×D43)⋊C4C2414yes—
699(C2×D43)⋊C4C2414yes—
700(C2×D43)⋊C4C2414yes—
701(C2×D43)⋊C4C2414yes—
702(C2×D43)⋊C4C2414yes—
703(C2×D43)⋊C4C2414yes—
704(C2×D43)⋊C4C2414yes—
705(C2×D43)⋊C4C2414yes—
706(C2×D43)⋊C4C2414yes—
707(C2×D43)⋊C4C2414yes—
708(C2×D43)⋊C4C2414yes—
709C4⋊Dic43C2414yes—
710C4⋊Dic43C2414yes—
711C4⋊Dic43C2414yes—
712C4⋊Dic43C2414yes—
713C4⋊Dic43C2414yes—
714C4⋊Dic43C2414yes—
715C4⋊Dic43C2414yes—
716C4⋊Dic43C2414yes—
717C4⋊Dic43C2414yes—
718C4⋊Dic43C2414yes—
719C4⋊Dic43C2414yes—
720C4⋊Dic43C2414yes—
721Dic43⋊C4C2414yes—
722Dic43⋊C4C2414yes—
723Dic43⋊C4C2414yes—
724Dic43⋊C4C2414yes—
725Dic43⋊C4C2414yes—
726Dic43⋊C4C2414yes—
727Dic43⋊C4C2414yes—
728Dic43⋊C4C2414yes—
729Dic43⋊C4C2414yes—
730Dic43⋊C4C2414yes—
731Dic43⋊C4C2414yes—
732Dic43⋊C4C2414yes—
733Dic43⋊C4C2414yes—
734Dic43⋊C4C2414yes—
735Dic43⋊C4C2414yes—
736Dic43⋊C4C2414yes—
737Dic43⋊C4C2414yes—
738Dic43⋊C4C2414yes—
739Dic43⋊C4C2414yes—
740Dic43⋊C4C2414yes—
741Dic43⋊C4C2414yes—
742Dic43⋊C4C2414yes—
743Dic43⋊C4C2414yes—
744Dic43⋊C4C2414yes—
745Dic43⋊C4C2414yes—
746Dic43⋊C4C2414yes—
747C4×Dic43C2414yes—
748C4×Dic43C2414yes—
749C4×Dic43C2414yes—
750C4×Dic43C2414yes—
751C4×Dic43C2414yes—
752C4×Dic43C2414yes—
753C4×Dic43C2414yes—
754C4×Dic43C2414yes—
755C4×Dic43C2414yes—
756C4×Dic43C2414yes—
757C4×Dic43C2414yes—
758C4×Dic43C2414yes—
759C4×Dic43C2414yes—
760C23×C43—22no—
761C23×C43—22no—
762C23×C43—22no—
763C23×C43—22no—
764C23×C43—22no—
765C23×C43—22no—
766C23×C43—22no—
767C23×C43—22no—
768C23×C43—22no—
769C23×C43—22no—
770C23×C43—22no—
771C23×C43—22no—
772C23×C43C2512yes—
773C23×C43C2512yes—
774C23×C43C2512yes—
775C23×C43C2512yes—
776C23×C43C2511yescharacteristic
777C22×D43—22no—
778C22×D43—22no—
779C22×D43—22no—
780C22×D43—22no—
781C22×D43—22no—
782C22×D43—22no—
783C22×D43—22no—
784C22×D43—22no—
785C22×D43—22no—
786C22×D43—44no—
787C22×D43—44no—
788C22×D43—44no—
789C22×D43—88no—
790C22×D43C2512yes—
791C22×D43C2512yes—
792C22×D43C2512yes—
793D4×C43—44no—
794D4×C43—44no—
795D4×C43—44no—
796D4×C43—44no—
797D4×C43—44no—
798D4×C43—44no—
799C2×C4×C43—22no—
800C2×C4×C43—22no—
801C2×C4×C43—22no—
802C2×C4×C43—22no—
803C2×C4×C43—22no—
804C2×C4×C43—22no—
805C2×C4×C43—22no—
806C2×C4×C43—22no—
807C2×C4×C43—22no—
808C2×C4×C43—22no—
809C2×C4×C43—22no—
810C2×C4×C43—44no—
811C2×C4×C43—44no—
812C2×C4×C43—44no—
813C2×C4×C43—44no—
814C2×C4×C43—44no—
815C2×C4×C43—44no—
816C2×C4×C43C2512yes—
817C2×C4×C43C2512yes—
818C2×C4×C43C2512yes—
819C2×C4×C43C2512yes—
820C2×C4×C43C2512yes—
821C2×C4×C43C2512yes—
822C2×C4×C43C2512yes—
823C2×C4×C43C2512yes—
824C2×C4×C43C2512yes—
825C2×C4×C43C2512yes—
826C2×C4×C43C2512yes—
827C22⋊D43—44no—
828C22⋊D43—44no—
829C22⋊D43—44no—
830C22⋊D43—44no—
831C22⋊D43—44no—
832C22⋊D43—44no—
833C22⋊D43—44no—
834C22⋊D43—44no—
835C22⋊D43—44no—
836C22⋊D43—44no—
837C2×Dic43—22no—
838C2×Dic43—22no—
839C2×Dic43—22no—
840C2×Dic43—22no—
841C2×Dic43—22no—
842C2×Dic43—22no—
843C2×Dic43—22no—
844C2×Dic43—22no—
845C2×Dic43—22no—
846C2×Dic43—22no—
847C2×Dic43—22no—
848C2×Dic43—22no—
849C2×Dic43—22no—
850C2×Dic43—44no—
851C2×Dic43—44no—
852C2×Dic43—44no—
853C2×Dic43—44no—
854C2×Dic43—44no—
855C2×Dic43C2512yes—
856C2×Dic43C2512yes—
857C2×Dic43C2512yes—
858C2×Dic43C2512yes—
859C2×Dic43C2512yes—
860C2×Dic43C2512yes—
861C2×Dic43C2512yes—
862C2×Dic43C2512yes—
863C2×Dic43C2512yes—
864C2×Dic43C2512yes—
865C2×Dic43C2512yes—
866C2×Dic43C2512yes—
867C2×Dic43C2512yes—
868D172—44no—
869D172—44no—
870C4×D43—44no—
871C4×D43—44no—
872C4×D43—44no—
873C4×D43—44no—
874C4×D43—44no—
875C4×D43—44no—
876C4×D43—44no—
877Dic86—44no—
878Dic86—44no—
879Dic86—44no—
880Dic86—44no—
881Dic86—44no—
882Dic86—44no—
883C2×#3566—431nomaximal, Sylow
884C22×C43—22no—
885C22×C43—22no—
886C22×C43—22no—
887C22×C43—22no—
888C22×C43—22no—
889C22×C43—22no—
890C22×C43—22no—
891C22×C43—22no—
892C22×C43—22no—
893C22×C43—22no—
894C22×C43—22no—
895C22×C43—22no—
896C22×C43—44no—
897C22×C43—44no—
898C22×C43—44no—
899C22×C43—44no—
900C22×C43#58512yes—
901C22×C43#58512yes—
902C22×C43#58512yes—
903C22×C43C2611yescharacteristic
904C2×D43—22no—
905C2×D43—22no—
906C2×D43—22no—
907C2×D43—22no—
908C2×D43—22no—
909C2×D43—22no—
910C2×D43—22no—
911C2×D43—22no—
912C2×D43—22no—
913C2×D43—44no—
914C2×D43—44no—
915C2×D43—44no—
916C2×D43—88no—
917C4×C43—22no—
918C4×C43—22no—
919C4×C43—22no—
920C4×C43—22no—
921C4×C43—22no—
922C4×C43—22no—
923C4×C43—22no—
924C4×C43—22no—
925C4×C43—22no—
926C4×C43—22no—
927C4×C43—22no—
928Dic43—22no—
929Dic43—22no—
930Dic43—22no—
931Dic43—22no—
932Dic43—22no—
933Dic43—22no—
934Dic43—22no—
935Dic43—22no—
936Dic43—22no—
937Dic43—22no—
938Dic43—22no—
939Dic43—22no—
940Dic43—22no—
941#3566—4332no—
942C2×#563—431no—
943C2×#562—431no—
944C2×#562—431no—
945C2×#560—431no—
946C2×#559—431no—
947C2×#556—431no—
948C2×#555—431no—
949C2×#553—431no—
950C2×#553—431no—
951C2×#553D4311yescharacteristic, complemented
952C2×#552—431no—
953C2×#552—431no—
954C2×#552—431no—
955C2×#551—431no—
956C2×#551—431no—
957C2×#551—431no—
958C2×#542—431no—
959C2×#542—431no—
960C2×#542—431no—
961C2×#541—431no—
962C2×#541—431no—
963C2×#540—431no—
964C2×#539—431no—
965C2×#539—431no—
966C2×#539—431no—
967C2×#538—431no—
968C2×#538—431no—
969C2×#538—431no—
970C2×#529—431no—
971C2×#529—431no—
972C2×#529—431no—
973C2×C43—42no—
974C2×C43—42no—
975C2×C43—42no—
976C2×C43—42no—
977C2×C43#356614yescomplemented
978C2×C43C2×#58511yescharacteristic
979C2×C43C2×#58511yescharacteristic
980C2×C43C2×#58511yescharacteristic
981D43—42no—
982D43—42no—
983D43—42no—
984#563—4316no—
985#562—4316no—
986#562—4316no—
987#560—4316no—
988#559—4316no—
989#556—4316no—
990#555—4316no—
991#553—4316no—
992#553—4316no—
993#553C2×D43116yescomplemented
994#552—4316no—
995#552—4316no—
996#552—4316no—
997#551—4316no—
998#551—4316no—
999#551—4316no—
1000#542—4316no—
1001#542—4316no—
1002#542—4316no—
1003#541—4316no—
1004#541—4316no—
1005#540—4316no—
1006#539—4316no—
1007#539—4316no—
1008#539—4316no—
1009#538—4316no—
1010#538—4316no—
1011#538—4316no—
1012C2×C4⋊Q8—431no—
1013C2×C4⋊Q8—431no—
1014C2×C4⋊Q8—431no—
1015C2×#127—431no—
1016#529—4316no—
1017#529—4316no—
1018#529—4316no—
1019C2×#126—431no—
1020C2×#126—431no—
1021C2×#126—431no—
1022C2×#126—431no—
1023C2×#126—431no—
1024C2×#126—431no—
1025C2×#126—431no—
1026C2×#126—431no—
1027C2×#126—431no—
1028C2×#126—431no—
1029C2×#126—431no—
1030C2×#126—431no—
1031C2×#126—431no—
1032C2×#126—431no—
1033C2×#126—431no—
1034C2×#126—431no—
1035C2×#126—431no—
1036C2×#126—431no—
1037C2×#126C2×D4311yescharacteristic
1038C2×#126C2×D4311yescharacteristic, complemented
1039C2×#125—431no—
1040C2×#125—431no—
1041C2×#125—431no—
1042C2×#125—431no—
1043C2×#125—431no—
1044C2×#125—431no—
1045C2×#125—431no—
1046C2×#125—431no—
1047C2×#125—431no—
1048C2×#125—431no—
1049C2×#125—431no—
1050C2×#125C2×D4311yescharacteristic, complemented
1051C2×#124—431no—
1052C2×#124—431no—
1053C2×#124—431no—
1054C2×#124—431no—
1055C2×#124—431no—
1056C2×#124—431no—
1057C2×#124—431no—
1058C2×#124—431no—
1059C2×#124—431no—
1060C2×#124—431no—
1061C2×#124—431no—
1062C2×#124—431no—
1063C2×#123—431no—
1064C2×#123—431no—
1065C2×#123—431no—
1066C2×#123—431no—
1067C2×#123—431no—
1068C2×#123—431no—
1069C2×#123—431no—
1070C2×#123—431no—
1071C2×#123—431no—
1072C2×#123—431no—
1073C2×#123—431no—
1074C2×#123—431no—
1075C2×#123—431no—
1076C2×#123—431no—
1077C2×#123—431no—
1078C2×#123—431no—
1079C2×#123—431no—
1080C2×#123—431no—
1081C2×#123—431no—
1082C2×#123—431no—
1083C2×#123—431no—
1084C2×#123—431no—
1085C2×#123C2×D4311yescharacteristic
1086C2×#123C2×D4311yescharacteristic, complemented
1087C2×C22⋊Q8—431no—
1088C2×C22⋊Q8—431no—
1089C2×C22⋊Q8—431no—
1090C2×C22⋊Q8—431no—
1091C2×C22⋊Q8—431no—
1092C2×C22⋊Q8—431no—
1093C2×C22⋊Q8—431no—
1094C2×C22⋊Q8—431no—
1095C2×C22⋊Q8—431no—
1096C2×C22⋊Q8—431no—
1097C2×C22⋊Q8—431no—
1098C2×C22⋊Q8—431no—
1099C2×C22⋊Q8—431no—
1100C2×C22⋊Q8—431no—
1101C2×C22⋊Q8—431no—
1102C2×C22⋊Q8—431no—
1103C2×C22⋊Q8—431no—
1104C2×C22⋊Q8—431no—
1105C2×#121—431no—
1106C2×#121—431no—
1107C2×#121—431no—
1108C2×#121—431no—
1109C2×#121—431no—
1110C2×#121—431no—
1111C2×#121—431no—
1112C2×#121—431no—
1113C2×#121—431no—
1114C2×#121—431no—
1115C2×#121—431no—
1116C2×#121—431no—
1117C2×#121—431no—
1118C2×#121—431no—
1119C2×#121C2×D4311yescharacteristic
1120C2×#121C2×D4311yescharacteristic
1121C2×#121C2×D4311yescharacteristic
1122C2×#121C2×D4311yescharacteristic, complemented
1123C2×#120—431no—
1124C2×#120—431no—
1125C2×#120—431no—
1126C2×#120—431no—
1127C2×C4×Q8—431no—
1128C2×C4×Q8—431no—
1129C2×C4×Q8—431no—
1130C2×C4×Q8—431no—
1131C2×C4×Q8—431no—
1132C2×C4×Q8—431no—
1133C2×C4×D4—431no—
1134C2×C4×D4—431no—
1135C2×C4×D4—431no—
1136C2×C4×D4—431no—
1137C2×C4×D4—431no—
1138C2×C4×D4—431no—
1139C2×C4×D4—431no—
1140C2×C4×D4—431no—
1141C2×C4×D4—431no—
1142C2×C4×D4—431no—
1143C2×C4×D4—431no—
1144C2×C4×D4—431no—
1145C2×C4×D4—431no—
1146C2×C4×D4—431no—
1147C2×C4×D4C2×D4311yescharacteristic
1148C2×C4×D4C2×D4311yescharacteristic
1149C2×C4×D4C2×D4311yescharacteristic, complemented
1150C2×C4×D4C2×D4311yescharacteristic, complemented
1151C2×#117—431no—
1152C2×#117—431no—
1153C2×#117—431no—
1154C2×#117—431no—
1155C2×#117—431no—
1156C2×#117—431no—
1157C2×#117—431no—
1158C2×#117—431no—
1159C2×#117—431no—
1160C2×#117—431no—
1161C2×#117—431no—
1162C2×#117C2×D4311yescharacteristic, complemented
1163C22×C4⋊C4—431no—
1164C22×C4⋊C4—431no—
1165C22×C4⋊C4C2×D4311yescharacteristic, complemented
1166C22×C22⋊C4—431no—
1167C22×C22⋊C4—431no—
1168C22×C22⋊C4—431no—
1169C22×C42—431no—
1170C43C2×#356611yescharacteristic, complemented, Sylow
1171C25—431no—
1172C22×Q8—431no—
1173C22×Q8—431no—
1174C22×Q8—431no—
1175C22×Q8—431no—
1176C22×Q8—431no—
1177C22×Q8—431no—
1178C22×D4—431no—
1179C22×D4—431no—
1180C22×D4—431no—
1181C22×D4—431no—
1182C22×D4—431no—
1183C22×D4—431no—
1184C22×D4—431no—
1185C22×D4—431no—
1186C22×D4—431no—
1187C22×D4—431no—
1188C22×D4—431no—
1189C22×D4—431no—
1190C22×D4C22×D4311yescharacteristic
1191C22×D4C22×D4311yescharacteristic
1192C22×D4C22×D4311yescharacteristic
1193C22×D4C22×D4311yescharacteristic
1194C22×D4C22×D4311yescharacteristic
1195C22×D4C22×D4311yescharacteristic
1196C23×C4—431no—
1197C23×C4—431no—
1198C23×C4—431no—
1199C23×C4—431no—
1200C23×C4—431no—
1201C23×C4—431no—
1202C23×C4—431no—
1203C23×C4—431no—
1204C23×C4—431no—
1205C23×C4—431no—
1206C23×C4—431no—
1207C23×C4—431no—
1208C23×C4C22×D4311yescharacteristic
1209C23×C4C22×D4311yescharacteristic
1210C23×C4C22×D4311yescharacteristic
1211C23×C4C22×D4311yescharacteristic
1212C23×C4C22×D4311yescharacteristic
1213C23×C4C22×D4311yescharacteristic
1214C4⋊Q8—438no—
1215C4⋊Q8—438no—
1216C4⋊Q8—438no—
1217#127—438no—
1218#126—438no—
1219#126—438no—
1220#126—438no—
1221#126—438no—
1222#126—438no—
1223#126—438no—
1224#126—438no—
1225#126—438no—
1226#126—438no—
1227#126—438no—
1228#126—438no—
1229#126—438no—
1230#126—438no—
1231#126—438no—
1232#126—438no—
1233#126—438no—
1234#126—438no—
1235#126—438no—
1236#126C22×D4318yes—
1237#126C22×D4318yescomplemented
1238#125—438no—
1239#125—438no—
1240#125—438no—
1241#125—438no—
1242#125—438no—
1243#125—438no—
1244#125—438no—
1245#125—438no—
1246#125—438no—
1247#125—438no—
1248#125—438no—
1249#125C22×D4318yescomplemented
1250#124—438no—
1251#124—438no—
1252#124—438no—
1253#124—438no—
1254#124—438no—
1255#124—438no—
1256#124—438no—
1257#124—438no—
1258#124—438no—
1259#124—438no—
1260#124—438no—
1261#124—438no—
1262#123—438no—
1263#123—438no—
1264#123—438no—
1265#123—438no—
1266#123—438no—
1267#123—438no—
1268#123—438no—
1269#123—438no—
1270#123—438no—
1271#123—438no—
1272#123—438no—
1273#123—438no—
1274#123—438no—
1275#123—438no—
1276#123—438no—
1277#123—438no—
1278#123—438no—
1279#123—438no—
1280#123—438no—
1281#123—438no—
1282#123—438no—
1283#123—438no—
1284#123C22×D4318yes—
1285#123C22×D4318yescomplemented
1286C22⋊Q8—438no—
1287C22⋊Q8—438no—
1288C22⋊Q8—438no—
1289C22⋊Q8—438no—
1290C22⋊Q8—438no—
1291C22⋊Q8—438no—
1292C22⋊Q8—438no—
1293C22⋊Q8—438no—
1294C22⋊Q8—438no—
1295C22⋊Q8—438no—
1296C22⋊Q8—438no—
1297C22⋊Q8—438no—
1298C22⋊Q8—438no—
1299C22⋊Q8—438no—
1300C22⋊Q8—438no—
1301C22⋊Q8—438no—
1302C22⋊Q8—438no—
1303C22⋊Q8—438no—
1304#121—438no—
1305#121—438no—
1306#121—438no—
1307#121—438no—
1308#121—438no—
1309#121—438no—
1310#121—438no—
1311#121—438no—
1312#121—438no—
1313#121—438no—
1314#121—438no—
1315#121—438no—
1316#121—438no—
1317#121—438no—
1318#121C22×D4318yes—
1319#121C22×D4318yes—
1320#121C22×D4318yes—
1321#121C22×D4318yescomplemented
1322#120—438no—
1323#120—438no—
1324#120—438no—
1325#120—438no—
1326C4×Q8—438no—
1327C4×Q8—438no—
1328C4×Q8—438no—
1329C4×Q8—438no—
1330C4×Q8—438no—
1331C4×Q8—438no—
1332C4×D4—438no—
1333C4×D4—438no—
1334C4×D4—438no—
1335C4×D4—438no—
1336C4×D4—438no—
1337C4×D4—438no—
1338C4×D4—438no—
1339C4×D4—438no—
1340C4×D4—438no—
1341C4×D4—438no—
1342C4×D4—438no—
1343C4×D4—438no—
1344C4×D4—438no—
1345C4×D4—438no—
1346C4×D4C22×D4318yes—
1347C4×D4C22×D4318yes—
1348C4×D4C22×D4318yescomplemented
1349C4×D4C22×D4318yescomplemented
1350#117—438no—
1351#117—438no—
1352#117—438no—
1353#117—438no—
1354#117—438no—
1355#117—438no—
1356#117—438no—
1357#117—438no—
1358#117—438no—
1359#117—438no—
1360#117—438no—
1361#117C22×D4318yescomplemented
1362C2×C4⋊C4—431no—
1363C2×C4⋊C4—431no—
1364C2×C4⋊C4—431no—
1365C2×C4⋊C4—431no—
1366C2×C4⋊C4—431no—
1367C2×C4⋊C4—431no—
1368C2×C4⋊C4—431no—
1369C2×C4⋊C4—438no—
1370C2×C4⋊C4—431no—
1371C2×C4⋊C4—431no—
1372C2×C4⋊C4—431no—
1373C2×C4⋊C4—431no—
1374C2×C4⋊C4—431no—
1375C2×C4⋊C4—431no—
1376C2×C4⋊C4—431no—
1377C2×C4⋊C4—431no—
1378C2×C4⋊C4—431no—
1379C2×C4⋊C4—431no—
1380C2×C4⋊C4—431no—
1381C2×C4⋊C4—431no—
1382C2×C4⋊C4—431no—
1383C2×C4⋊C4—431no—
1384C2×C4⋊C4—431no—
1385C2×C4⋊C4—431no—
1386C2×C4⋊C4—431no—
1387C2×C4⋊C4—431no—
1388C2×C4⋊C4—431no—
1389C2×C4⋊C4—431no—
1390C2×C4⋊C4—431no—
1391C2×C4⋊C4—431no—
1392C2×C4⋊C4—431no—
1393C2×C4⋊C4—431no—
1394C2×C4⋊C4—431no—
1395C2×C4⋊C4—431no—
1396C2×C4⋊C4—431no—
1397C2×C4⋊C4—431no—
1398C2×C4⋊C4—431no—
1399C2×C4⋊C4—431no—
1400C2×C4⋊C4—431no—
1401C2×C4⋊C4—438no—
1402C2×C4⋊C4C22×D4311yescharacteristic
1403C2×C4⋊C4C22×D4311yescharacteristic
1404C2×C4⋊C4C22×D4311yescharacteristic
1405C2×C4⋊C4C22×D4311yescharacteristic
1406C2×C4⋊C4C22×D4311yescharacteristic
1407C2×C4⋊C4C22×D4311yescharacteristic
1408C2×C4⋊C4C22×D4311yescharacteristic
1409C2×C4⋊C4C22×D4311yescharacteristic
1410C2×C4⋊C4C22×D4311yescharacteristic
1411C2×C4⋊C4C22×D4311yescharacteristic
1412C2×C4⋊C4C22×D4318yescomplemented
1413C2×C22⋊C4—431no—
1414C2×C22⋊C4—431no—
1415C2×C22⋊C4—431no—
1416C2×C22⋊C4—431no—
1417C2×C22⋊C4—431no—
1418C2×C22⋊C4—431no—
1419C2×C22⋊C4—431no—
1420C2×C22⋊C4—431no—
1421C2×C22⋊C4—431no—
1422C2×C22⋊C4—431no—
1423C2×C22⋊C4—431no—
1424C2×C22⋊C4—431no—
1425C2×C22⋊C4—431no—
1426C2×C22⋊C4—431no—
1427C2×C22⋊C4—431no—
1428C2×C22⋊C4—431no—
1429C2×C22⋊C4—431no—
1430C2×C22⋊C4—431no—
1431C2×C22⋊C4—431no—
1432C2×C22⋊C4—431no—
1433C2×C22⋊C4—431no—
1434C2×C22⋊C4—431no—
1435C2×C22⋊C4—431no—
1436C2×C22⋊C4—431no—
1437C2×C22⋊C4—438no—
1438C2×C22⋊C4—431no—
1439C2×C22⋊C4—431no—
1440C2×C22⋊C4—431no—
1441C2×C22⋊C4—431no—
1442C2×C22⋊C4—431no—
1443C2×C22⋊C4—431no—
1444C2×C22⋊C4—431no—
1445C2×C22⋊C4—431no—
1446C2×C22⋊C4—431no—
1447C2×C22⋊C4—431no—
1448C2×C22⋊C4—431no—
1449C2×C22⋊C4—431no—
1450C2×C22⋊C4—431no—
1451C2×C22⋊C4—431no—
1452C2×C22⋊C4—438no—
1453C2×C22⋊C4—438no—
1454C2×C22⋊C4C22×D4311yescharacteristic
1455C2×C22⋊C4C22×D4311yescharacteristic
1456C2×C22⋊C4C22×D4311yescharacteristic
1457C2×C22⋊C4C22×D4311yescharacteristic
1458C2×C22⋊C4C22×D4311yescharacteristic
1459C2×C22⋊C4C22×D4311yescharacteristic
1460C2×C22⋊C4C22×D4311yescharacteristic
1461C2×C22⋊C4C22×D4311yescharacteristic
1462C2×C22⋊C4C22×D4311yescharacteristic
1463C2×C22⋊C4C22×D4311yescharacteristic
1464C2×C42—431no—
1465C2×C42—431no—
1466C2×C42—431no—
1467C2×C42—431no—
1468C2×C42—431no—
1469C2×C42—431no—
1470C2×C42—431no—
1471C2×C42—431no—
1472C2×C42—431no—
1473C2×C42—431no—
1474C2×C42—431no—
1475C2×C42—431no—
1476C2×C42—431no—
1477C2×C42—438no—
1478C2×C42C22×D4311yescharacteristic
1479C2×C42C22×D4311yescharacteristic
1480C2×C42C22×D4311yescharacteristic
1481C24—431no—
1482C24—431no—
1483C24—431no—
1484C24—434no—
1485C24—1722no—
1486C24—1722no—
1487C24—1722no—
1488C24C23×D4311yescharacteristic
1489C24C23×D4311yescharacteristic
1490C24C23×D4311yescharacteristic
1491C24C23×D4311yescharacteristic
1492C2×Q8—434no—
1493C2×Q8—434no—
1494C2×Q8—434no—
1495C2×Q8—434no—
1496C2×Q8—434no—
1497C2×Q8—434no—
1498C2×Q8—1722no—
1499C2×Q8—1722no—
1500C2×Q8—1722no—
1501C2×Q8—1722no—
1502C2×Q8—1722no—
1503C2×Q8—1722no—
1504C2×D4—42no—
1505C2×D4—42no—
1506C2×D4—42no—
1507C2×D4—42no—
1508C2×D4—42no—
1509C2×D4—42no—
1510C2×D4—434no—
1511C2×D4—434no—
1512C2×D4—434no—
1513C2×D4—434no—
1514C2×D4—434no—
1515C2×D4—434no—
1516C2×D4—434no—
1517C2×D4—434no—
1518C2×D4—434no—
1519C2×D4—434no—
1520C2×D4—434no—
1521C2×D4—434no—
1522C2×D4—1722no—
1523C2×D4—1722no—
1524C2×D4—1722no—
1525C2×D4—1722no—
1526C2×D4—1722no—
1527C2×D4—1722no—
1528C2×D4—1722no—
1529C2×D4—1722no—
1530C2×D4—1722no—
1531C2×D4—1722no—
1532C2×D4—1722no—
1533C2×D4—1722no—
1534C2×D4C23×D4314yes—
1535C2×D4C23×D4314yes—
1536C2×D4C23×D4314yes—
1537C2×D4C23×D4314yes—
1538C2×D4C23×D4314yes—
1539C2×D4C23×D4314yes—
1540C22×C4—42no—
1541C22×C4—42no—
1542C22×C4—42no—
1543C22×C4—42no—
1544C22×C4—42no—
1545C22×C4—42no—
1546C22×C4—431no—
1547C22×C4—431no—
1548C22×C4—431no—
1549C22×C4—431no—
1550C22×C4—431no—
1551C22×C4—431no—
1552C22×C4—431no—
1553C22×C4—431no—
1554C22×C4—431no—
1555C22×C4—431no—
1556C22×C4—431no—
1557C22×C4—431no—
1558C22×C4—431no—
1559C22×C4—434no—
1560C22×C4—434no—
1561C22×C4—434no—
1562C22×C4—434no—
1563C22×C4—434no—
1564C22×C4—434no—
1565C22×C4—434no—
1566C22×C4—434no—
1567C22×C4—434no—
1568C22×C4—434no—
1569C22×C4—434no—
1570C22×C4—434no—
1571C22×C4—1722no—
1572C22×C4—1722no—
1573C22×C4—1722no—
1574C22×C4—1722no—
1575C22×C4—1722no—
1576C22×C4—1722no—
1577C22×C4—1722no—
1578C22×C4—1722no—
1579C22×C4—1722no—
1580C22×C4—1722no—
1581C22×C4—1722no—
1582C22×C4—1722no—
1583C22×C4C23×D4311yescharacteristic
1584C22×C4C23×D4311yescharacteristic
1585C22×C4C23×D4311yescharacteristic
1586C22×C4C23×D4311yescharacteristic
1587C22×C4C23×D4311yescharacteristic
1588C22×C4C23×D4311yescharacteristic
1589C22×C4C23×D4311yescharacteristic
1590C22×C4C23×D4311yescharacteristic
1591C22×C4C23×D4311yescharacteristic
1592C22×C4C23×D4311yescharacteristic
1593C22×C4C23×D4311yescharacteristic
1594C22×C4C23×D4314yes—
1595C22×C4C23×D4314yes—
1596C22×C4C23×D4314yes—
1597C22×C4C23×D4314yes—
1598C22×C4C23×D4314yes—
1599C22×C4C23×D4314yes—
1600C4⋊C4—434no—
1601C4⋊C4—434no—
1602C4⋊C4—434no—
1603C4⋊C4—434no—
1604C4⋊C4—434no—
1605C4⋊C4—434no—
1606C4⋊C4—434no—
1607C4⋊C4—434no—
1608C4⋊C4—434no—
1609C4⋊C4—434no—
1610C4⋊C4—434no—
1611C4⋊C4—434no—
1612C4⋊C4—434no—
1613C4⋊C4—434no—
1614C4⋊C4—434no—
1615C4⋊C4—434no—
1616C4⋊C4—434no—
1617C4⋊C4—434no—
1618C4⋊C4—434no—
1619C4⋊C4—434no—
1620C4⋊C4—434no—
1621C4⋊C4—434no—
1622C4⋊C4—434no—
1623C4⋊C4—434no—
1624C4⋊C4—434no—
1625C4⋊C4—434no—
1626C4⋊C4—434no—
1627C4⋊C4—434no—
1628C4⋊C4—434no—
1629C4⋊C4—434no—
1630C4⋊C4—434no—
1631C4⋊C4—434no—
1632C4⋊C4—434no—
1633C4⋊C4—434no—
1634C4⋊C4—434no—
1635C4⋊C4—434no—
1636C4⋊C4—434no—
1637C4⋊C4—434no—
1638C4⋊C4C23×D4314yes—
1639C4⋊C4C23×D4314yes—
1640C4⋊C4C23×D4314yes—
1641C4⋊C4C23×D4314yes—
1642C4⋊C4C23×D4314yes—
1643C4⋊C4C23×D4314yes—
1644C4⋊C4C23×D4314yes—
1645C4⋊C4C23×D4314yes—
1646C4⋊C4C23×D4314yes—
1647C4⋊C4C23×D4314yes—
1648C22⋊C4—434no—
1649C22⋊C4—434no—
1650C22⋊C4—434no—
1651C22⋊C4—434no—
1652C22⋊C4—434no—
1653C22⋊C4—434no—
1654C22⋊C4—434no—
1655C22⋊C4—434no—
1656C22⋊C4—434no—
1657C22⋊C4—434no—
1658C22⋊C4—434no—
1659C22⋊C4—434no—
1660C22⋊C4—434no—
1661C22⋊C4—434no—
1662C22⋊C4—434no—
1663C22⋊C4—434no—
1664C22⋊C4—434no—
1665C22⋊C4—434no—
1666C22⋊C4—434no—
1667C22⋊C4—434no—
1668C22⋊C4—434no—
1669C22⋊C4—434no—
1670C22⋊C4—434no—
1671C22⋊C4—434no—
1672C22⋊C4—434no—
1673C22⋊C4—434no—
1674C22⋊C4—434no—
1675C22⋊C4—434no—
1676C22⋊C4—434no—
1677C22⋊C4—434no—
1678C22⋊C4—434no—
1679C22⋊C4—434no—
1680C22⋊C4—434no—
1681C22⋊C4—434no—
1682C22⋊C4—434no—
1683C22⋊C4—434no—
1684C22⋊C4—434no—
1685C22⋊C4—434no—
1686C22⋊C4C23×D4314yes—
1687C22⋊C4C23×D4314yes—
1688C22⋊C4C23×D4314yes—
1689C22⋊C4C23×D4314yes—
1690C22⋊C4C23×D4314yes—
1691C22⋊C4C23×D4314yes—
1692C22⋊C4C23×D4314yes—
1693C22⋊C4C23×D4314yes—
1694C22⋊C4C23×D4314yes—
1695C22⋊C4C23×D4314yes—
1696C42—434no—
1697C42—434no—
1698C42—434no—
1699C42—434no—
1700C42—434no—
1701C42—434no—
1702C42—434no—
1703C42—434no—
1704C42—434no—
1705C42—434no—
1706C42—434no—
1707C42—434no—
1708C42—434no—
1709C42C23×D4314yes—
1710C42C23×D4314yes—
1711C42C23×D4314yes—
1712C23—22no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—22no—
1723C23—22no—
1724C23—432no—
1725C23—432no—
1726C23—432no—
1727C23—862no—
1728C23—862no—
1729C23—862no—
1730C23—862no—
1731C23—862no—
1732C23—862no—
1733C23—862no—
1734C23—862no—
1735C23—862no—
1736C23—3448no—
1737C23—1724no—
1738C23—1724no—
1739C23—1724no—
1740C23C24×D4312yes—
1741C23C24×D4312yes—
1742C23C24×D4312yes—
1743C23C24×D4312yes—
1744C23C24×D4311yescharacteristic
1745Q8—1724no—
1746Q8—1724no—
1747Q8—1724no—
1748Q8—1724no—
1749Q8—1724no—
1750Q8—1724no—
1751D4—44no—
1752D4—44no—
1753D4—44no—
1754D4—44no—
1755D4—44no—
1756D4—44no—
1757D4—1724no—
1758D4—1724no—
1759D4—1724no—
1760D4—1724no—
1761D4—1724no—
1762D4—1724no—
1763D4—1724no—
1764D4—1724no—
1765D4—1724no—
1766D4—1724no—
1767D4—1724no—
1768D4—1724no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—44no—
1781C2×C4—44no—
1782C2×C4—44no—
1783C2×C4—44no—
1784C2×C4—44no—
1785C2×C4—44no—
1786C2×C4—432no—
1787C2×C4—432no—
1788C2×C4—432no—
1789C2×C4—432no—
1790C2×C4—432no—
1791C2×C4—432no—
1792C2×C4—432no—
1793C2×C4—432no—
1794C2×C4—432no—
1795C2×C4—432no—
1796C2×C4—432no—
1797C2×C4—432no—
1798C2×C4—432no—
1799C2×C4—862no—
1800C2×C4—862no—
1801C2×C4—862no—
1802C2×C4—862no—
1803C2×C4—862no—
1804C2×C4—862no—
1805C2×C4—862no—
1806C2×C4—862no—
1807C2×C4—862no—
1808C2×C4—862no—
1809C2×C4—862no—
1810C2×C4—862no—
1811C2×C4—862no—
1812C2×C4—1724no—
1813C2×C4—1724no—
1814C2×C4—1724no—
1815C2×C4—1724no—
1816C2×C4—1724no—
1817C2×C4—1724no—
1818C2×C4—1724no—
1819C2×C4—1724no—
1820C2×C4—1724no—
1821C2×C4—1724no—
1822C2×C4—1724no—
1823C2×C4—1724no—
1824C2×C4C24×D4312yes—
1825C2×C4C24×D4312yes—
1826C2×C4C24×D4312yes—
1827C2×C4C24×D4312yes—
1828C2×C4C24×D4312yes—
1829C2×C4C24×D4312yes—
1830C2×C4C24×D4312yes—
1831C2×C4C24×D4312yes—
1832C2×C4C24×D4312yes—
1833C2×C4C24×D4312yes—
1834C2×C4C24×D4312yes—
1835C22—22no—
1836C22—22no—
1837C22—22no—
1838C22—22no—
1839C22—22no—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—44no—
1848C22—44no—
1849C22—44no—
1850C22—44no—
1851C22—862no—
1852C22—862no—
1853C22—862no—
1854C22—862no—
1855C22—862no—
1856C22—862no—
1857C22—862no—
1858C22—862no—
1859C22—862no—
1860C22—3448no—
1861C22—1724no—
1862C22—1724no—
1863C22—1724no—
1864C22#1458373412yes—
1865C22#1458373512yes—
1866C22#1458373512yes—
1867C22C25×D4311yescharacteristic
1868C4—22no—
1869C4—22no—
1870C4—22no—
1871C4—22no—
1872C4—22no—
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—22no—
1877C4—22no—
1878C4—22no—
1879C4—862no—
1880C4—862no—
1881C4—862no—
1882C4—862no—
1883C4—862no—
1884C4—862no—
1885C4—862no—
1886C4—862no—
1887C4—862no—
1888C4—862no—
1889C4—862no—
1890C4—862no—
1891C4—862no—
1892C2—42no—
1893C2—42no—
1894C2—42no—
1895C2—42no—
1896C2—1722no—
1897C2—1722no—
1898C2—1722no—
1899C2#1914924814yesdirect product factor
1900C2C2×#1458373411yescharacteristic
1901C2C2×#1458373511yescharacteristic
1902C2C2×#1458373511yescharacteristic
subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×C43×#553C2
socleC23×C43C25
hypercenterC2×#553D43
hypocenterC43C2×#3566
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
1. #19149248C2direct (N × H)
2. C2×#14583651C2semidirect
3. C2×#14583644C2semidirect
4. C2×#14583644C2semidirect
5. C2×#14583637C2semidirect
6. C2×#14583633C2semidirect
7. C2×#14583619C2semidirect
8. C2×#14583613C2semidirect
9. C2×#14583599C2semidirect
10. C2×#14583598C2semidirect
11. C2×#14583584C2semidirect
12. C2×#14583582C2semidirect
13. C2×#14583581C2semidirect
14. C2×#14583578C2semidirect
15. C2×#14583574C2semidirect
16. C2×#14583572C2semidirect
17. C2×#14583520C2semidirect
18. C2×#14583515C2semidirect
19. C2×#14583514C2semidirect
20. C2×#14583508C2semidirect
21. C2×#14583506C2semidirect
22. C2×#14583502C2semidirect
23. C2×#14583496C2semidirect
24. C2×#14583494C2semidirect
25. C2×#14583492C2semidirect
26. C2×#14583482C2semidirect
27. C2×#14583481C2semidirect
28. C2×#14583481C2semidirect
29. C2×#14583429C2semidirect
30. C2×#14583429C2semidirect
31. C2×#14583426C2semidirect
32. C2×C43×#553C2semidirect
33. #14583651C22semidirect
34. #14583644C22semidirect
35. #14583644C22semidirect
36. #14583637C22semidirect
37. #14583633C22semidirect
38. #14583619C22semidirect
39. #14583613C22semidirect
40. #14583599C22semidirect
41. #14583598C22semidirect
42. #14583584C22semidirect
43. #14583582C22semidirect
44. #14583581C22semidirect
45. #14583578C22semidirect
46. #14583574C22semidirect
47. #14583572C22semidirect
48. #14583520C22semidirect
49. #14583515C22semidirect
50. #14583514C22semidirect
51. #14583508C22semidirect
52. #14583506C22semidirect
53. #14583502C22semidirect
54. #14583496C22semidirect
55. #14583494C22semidirect
56. #14583492C22semidirect
57. #14583482C22semidirect
58. #14583481C22semidirect
59. #14583481C22semidirect
60. C2×#13063325C22semidirect
61. C2×#13063324C22semidirect
62. C2×#13063324C22semidirect
64. #14583429C22semidirect
65. #14583429C22semidirect
66. #14583426C22semidirect
74. C2×#13063320C22semidirect
81. C2×#13063318C22semidirect
82. C2×#13063318C22semidirect
83. C2×#13063318C22semidirect
84. C2×#13063318C22semidirect
85. C2×#13063317C22semidirect
86. C2×#13063316C22semidirect
87. C2×#13063316C22semidirect
88. C2×#13063315C22semidirect
89. C2×#13063315C22semidirect
90. C2×#13063315C22semidirect
91. C2×#13063315C22semidirect
92. C2×#13063315C22semidirect
93. C2×#13063315C22semidirect
94. C2×#13063315C22semidirect
95. C2×#13063315C22semidirect
99. C2×#13063312C22semidirect
106. C2×#13063311C22semidirect
107. C2×#13063311C22semidirect
114. C2×#13063309C22semidirect
120. C2×#13063308C22semidirect
124. C2×#13063307C22semidirect
128. C2×#13063306C22semidirect
129. C2×#13063306C22semidirect
133. C2×#13063304C22semidirect
134. C2×#13063304C22semidirect
135. C2×#13063304C22semidirect
140. C2×#13063303C22semidirect
141. C2×#13063303C22semidirect
144. C2×#13063302C22semidirect
145. C2×#13063302C22semidirect
146. C2×#13063302C22semidirect
147. C2×#13063302C22semidirect
157. C2×#13063297C22semidirect
161. C2×#13063296C22semidirect
166. C2×C4×Dic86C22semidirect
167. C2×C4×Dic86C22semidirect
168. C2×C4×Dic86C22semidirect
169. C2×#13063290C22semidirect
170. C2×#13063290C22semidirect
171. C2×#13063290C22semidirect
174. C2×D4×Dic43C22semidirect
180. C2×C4×C22⋊D43C22semidirect
181. C2×C4×C22⋊D43C22semidirect
185. C2×(C22⋊D43)⋊C4C22semidirect
187. C2×#13063284C22semidirect
188. C2×#13063284C22semidirect
191. C2×#13063283C22semidirect
194. C2×#13063282C22semidirect
196. C2×#13063281C22semidirect
197. C22×Dic43⋊C4C22semidirect
198. C2×C4⋊C4×D43C22semidirect
202. C22×C4×Dic43C22semidirect
203. C43×#553C22semidirect
205. C2×#126×C43C22semidirect
206. C2×#125×C43C22semidirect
208. C2×#123×C43C22semidirect
212. C2×#121×C43C22semidirect
215. C2×C4×D4×C43C22semidirect
216. C2×C4×D4×C43C22semidirect
217. C2×#117×C43C22semidirect
218. C22×C4⋊C4×C43C22semidirect
250. #13063325C23semidirect
251. #13063324C23semidirect
252. #13063324C23semidirect
261. #13063320C23semidirect
268. #13063318C23semidirect
269. #13063318C23semidirect
270. #13063318C23semidirect
271. #13063318C23semidirect
272. #13063317C23semidirect
273. #13063316C23semidirect
274. #13063316C23semidirect
275. #13063315C23semidirect
276. #13063315C23semidirect
277. #13063315C23semidirect
278. #13063315C23semidirect
279. #13063315C23semidirect
280. #13063315C23semidirect
281. #13063315C23semidirect
282. #13063315C23semidirect
286. #13063312C23semidirect
293. #13063311C23semidirect
294. #13063311C23semidirect
301. #13063309C23semidirect
307. #13063308C23semidirect
311. #13063307C23semidirect
315. #13063306C23semidirect
316. #13063306C23semidirect
320. #13063304C23semidirect
321. #13063304C23semidirect
322. #13063304C23semidirect
327. #13063303C23semidirect
328. #13063303C23semidirect
331. #13063302C23semidirect
332. #13063302C23semidirect
333. #13063302C23semidirect
334. #13063302C23semidirect
344. #13063297C23semidirect
348. #13063296C23semidirect
353. C4×Dic86C23semidirect
354. C4×Dic86C23semidirect
355. C4×Dic86C23semidirect
356. #13063290C23semidirect
357. #13063290C23semidirect
358. #13063290C23semidirect
361. D4×Dic43C23semidirect
367. C4×C22⋊D43C23semidirect
368. C4×C22⋊D43C23semidirect
372. (C22⋊D43)⋊C4C23semidirect
374. #13063284C23semidirect
375. #13063284C23semidirect
378. #13063283C23semidirect
381. #13063282C23semidirect
383. #13063281C23semidirect
422. C2×Dic43⋊C4C23semidirect
423. C4⋊C4×D43C23semidirect
478. C2×C4×Dic43C23semidirect
492. #126×C43C23semidirect
493. #125×C43C23semidirect
495. #123×C43C23semidirect
499. #121×C43C23semidirect
502. C4×D4×C43C23semidirect
503. C4×D4×C43C23semidirect
504. #117×C43C23semidirect
515. C2×C4⋊C4×C43C23semidirect
951. C2×#553D43semidirect
977. C2×C43#3566semidirect
993. #553C2×D43semidirect
1038. C2×#126C2×D43semidirect
1050. C2×#125C2×D43semidirect
1086. C2×#123C2×D43semidirect
1122. C2×#121C2×D43semidirect
1149. C2×C4×D4C2×D43semidirect
1150. C2×C4×D4C2×D43semidirect
1162. C2×#117C2×D43semidirect
1165. C22×C4⋊C4C2×D43semidirect
1170. C43C2×#3566semidirect
1237. #126C22×D43semidirect
1249. #125C22×D43semidirect
1285. #123C22×D43semidirect
1321. #121C22×D43semidirect
1348. C4×D4C22×D43semidirect
1349. C4×D4C22×D43semidirect
1361. #117C22×D43semidirect
1412. C2×C4⋊C4C22×D43semidirect
1899. C2#19149248direct (N × H)

Maximal subgroups

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

subgroupindex
#191492482
C2×#145836512
C2×#145836442
C2×#145836372
C2×#145836332
C2×#145836192
C2×#145836132
C2×#145835992
C2×#145835982
C2×#145835842
C2×#145835822
C2×#145835812
C2×#145835782
C2×#145835742
C2×#145835722
C2×#145835202
C2×#145835152
C2×#145835142
C2×#145835082
C2×#145835062
C2×#145835022
C2×#145834962
C2×#145834942
C2×#145834922
C2×#145834822
C2×#145834812
C2×#145834292
C2×#145834262
C2×C43×#5532
C2×#356643