Finite Group Databasebeta

← C2×#21459879 #30588135

Subgroups — C2×#21459879 #30588135

Order 15616.

7314 conjugacy classes of subgroups.

The subgroup lattice has 1936 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459879C2132yesmaximal, direct product factor
2C2×#16840479C211yesmaximal, characteristic, complemented
3C2×#16840479C211yesmaximal, characteristic, complemented
4C2×#16840467C211yesmaximal, characteristic, complemented
5C2×#16840463C211yesmaximal, characteristic, complemented
6C2×#16840463C211yesmaximal, characteristic, complemented
7C2×#16840460C211yesmaximal, characteristic, complemented
8C2×#16840448C211yesmaximal, characteristic, complemented
9C2×#16840448C211yesmaximal, characteristic, complemented
10C2×#16840447C211yesmaximal, characteristic, complemented
11C2×#16840438C211yesmaximal, characteristic, complemented
12C2×#16840438C211yesmaximal, characteristic, complemented
13C2×#16840437C211yesmaximal, characteristic, complemented
14C2×#16840437C211yesmaximal, characteristic, complemented
15C2×#16840413C211yesmaximal, characteristic, complemented
16C2×#16840402C211yesmaximal, characteristic, complemented
17C2×#16840402C211yesmaximal, characteristic, complemented
18C2×#16840378C211yesmaximal, characteristic, complemented
19C2×#16840369C211yesmaximal, characteristic, complemented
20C2×#16840359C211yesmaximal, characteristic, complemented
21C2×#16840353C211yesmaximal, characteristic, complemented
22C2×#16840351C211yesmaximal, characteristic, complemented
23C2×#16840350C211yesmaximal, characteristic, complemented
24C2×#16840296C211yesmaximal, characteristic, complemented
25C2×#16840295C211yesmaximal, characteristic, complemented
26C2×#16840295C211yesmaximal, characteristic, complemented
27C2×#16840295C211yesmaximal, characteristic, complemented
28C2×#126×D61C211yesmaximal, characteristic, complemented
29C2×#16840243C211yesmaximal, characteristic, complemented
30C2×#16840235C211yesmaximal, characteristic, complemented
31C2×C4×#11758222C211yesmaximal, characteristic, complemented
32C22×#126×C61C211yesmaximal, characteristic, complemented
33C22×#11758222C2211yescharacteristic
34C22×#11758222C2211yescharacteristic
35C23×C22⋊D61C2211yescharacteristic
36#16840479C22116yescomplemented
37#16840479C22116yescomplemented
38#16840467C22116yescomplemented
39#16840463C22116yescomplemented
40#16840463C22116yescomplemented
41#16840460C22116yescomplemented
42#16840448C22116yescomplemented
43#16840448C22116yescomplemented
44#16840447C22116yescomplemented
45#16840438C22116yescomplemented
46#16840438C22116yescomplemented
47#16840437C22116yescomplemented
48#16840437C22116yescomplemented
49#16840413C22116yescomplemented
50#16840402C22116yescomplemented
51#16840402C22116yescomplemented
52#16840378C22116yescomplemented
53#16840369C22116yescomplemented
54#16840359C22116yescomplemented
55#16840353C22116yescomplemented
56#16840351C22116yescomplemented
57#16840350C22116yescomplemented
58C2×#14519776C2211yescharacteristic, complemented
59C2×#14519776C2211yescharacteristic, complemented
60#16840296C22116yescomplemented
61#16840295C22116yescomplemented
62#16840295C22116yescomplemented
63#16840295C22116yescomplemented
64C2×#14519772C2211yescharacteristic, complemented
65C2×#14519772C2211yescharacteristic, complemented
66C2×#14519772C2211yescharacteristic, complemented
67C2×#14519772C2211yescharacteristic, complemented
68C2×#14519772C2211yescharacteristic, complemented
69C2×#14519772C2211yescharacteristic, complemented
70C2×#14519771C2211yescharacteristic, complemented
71C2×#14519771C2211yescharacteristic, complemented
72C2×#14519770C2211yescharacteristic
73C2×#14519770C2211yescharacteristic
74C2×#14519770C2211yescharacteristic
75C2×#14519770C2211yescharacteristic
76C2×#14519770C2211yescharacteristic
77C2×#14519770C2211yescharacteristic, complemented
78#126×D61C22116yescomplemented
79C2×#14519769C2211yescharacteristic, complemented
80C2×#14519768C2211yescharacteristic, complemented
81C2×#14519768C2211yescharacteristic, complemented
82C2×#14519767C2211yescharacteristic, complemented
83C2×#14519767C2211yescharacteristic, complemented
84C2×#14519767C2211yescharacteristic, complemented
85C2×#14519767C2211yescharacteristic, complemented
86C2×#14519767C2211yescharacteristic, complemented
87C2×#14519767C2211yescharacteristic, complemented
88C2×#14519765C2211yescharacteristic, complemented
89C2×#14519763C2211yescharacteristic
90C2×#14519763C2211yescharacteristic
91C2×#14519763C2211yescharacteristic
92C2×#14519763C2211yescharacteristic
93C2×#14519763C2211yescharacteristic
94C2×#14519763C2211yescharacteristic, complemented
95C2×#14519762C2211yescharacteristic, complemented
96C2×#14519762C2211yescharacteristic, complemented
97C2×#14519762C2211yescharacteristic, complemented
98C2×#14519762C2211yescharacteristic, complemented
99C2×#14519762C2211yescharacteristic, complemented
100C2×#14519762C2211yescharacteristic, complemented
101C2×#14519761C2211yescharacteristic, complemented
102C2×#14519761C2211yescharacteristic, complemented
103C2×#14519760C2211yescharacteristic
104C2×#14519760C2211yescharacteristic
105C2×#14519760C2211yescharacteristic, complemented
106C2×#14519760C2211yescharacteristic, complemented
107C2×#14519759C2211yescharacteristic
108C2×#14519759C2211yescharacteristic
109C2×#14519759C2211yescharacteristic
110C2×#14519759C2211yescharacteristic
111C2×#14519759C2211yescharacteristic
112C2×#14519759C2211yescharacteristic, complemented
113C2×#14519757C2211yescharacteristic, complemented
114C2×#14519757C2211yescharacteristic, complemented
115C2×#14519756C2211yescharacteristic, complemented
116C2×#14519756C2211yescharacteristic, complemented
117C2×#14519756C2211yescharacteristic, complemented
118C2×#14519755C2211yescharacteristic, complemented
119C2×#14519755C2211yescharacteristic, complemented
120C2×#14519755C2211yescharacteristic, complemented
121C2×#14519755C2211yescharacteristic, complemented
122C2×#14519755C2211yescharacteristic, complemented
123C2×#14519755C2211yescharacteristic, complemented
124C2×#14519754C2211yescharacteristic
125C2×#14519754C2211yescharacteristic
126C2×#14519754C2211yescharacteristic, complemented
127C2×#14519754C2211yescharacteristic, complemented
128C2×#14519752C2211yescharacteristic, complemented
129C2×#14519752C2211yescharacteristic, complemented
130C2×#14519751C2211yescharacteristic
131C2×#14519751C2211yescharacteristic
132C2×#14519751C2211yescharacteristic, complemented
133C2×#14519750C2211yescharacteristic
134C2×#14519750C2211yescharacteristic
135C2×#14519750C2211yescharacteristic
136C2×#14519750C2211yescharacteristic
137C2×#14519750C2211yescharacteristic
138C2×#14519750C2211yescharacteristic, complemented
139C2×#14519747C2211yescharacteristic
140C2×#14519747C2211yescharacteristic
141C2×#14519746C2211yescharacteristic
142C2×#14519746C2211yescharacteristic
143#16840243C22116yescomplemented
144#16840235C22116yescomplemented
145C4×#11758222C22116yescomplemented
146C2×C4×Dic122C2211yescharacteristic, complemented
147C2×C4×Dic122C2211yescharacteristic, complemented
148C2×C4×Dic122C2211yescharacteristic, complemented
149C2×#14519742C2211yescharacteristic, complemented
150C2×#14519742C2211yescharacteristic, complemented
151C2×#14519742C2211yescharacteristic, complemented
152C2×#14519742C2211yescharacteristic, complemented
153C2×C4×D244C2211yescharacteristic, complemented
154C2×C4×D244C2211yescharacteristic, complemented
155C2×C4×D244C2211yescharacteristic, complemented
156C2×#14519739C2211yescharacteristic, complemented
157C2×#14519739C2211yescharacteristic, complemented
158C2×#14519739C2211yescharacteristic, complemented
159C2×#14519739C2211yescharacteristic, complemented
160C2×C4×C22⋊D61C2211yescharacteristic
161C2×C4×C22⋊D61C2211yescharacteristic
162C2×C4×C22⋊D61C2211yescharacteristic
163C2×C4×C22⋊D61C2211yescharacteristic
164C2×C4×C22⋊D61C2211yescharacteristic
165C2×C4×C22⋊D61C2211yescharacteristic
166C2×C4×C22⋊D61C2211yescharacteristic, complemented
167C2×C4×C22⋊D61C2211yescharacteristic, complemented
168C2×C4×C22⋊D61C2211yescharacteristic, complemented
169C2×C4×C22⋊D61C2211yescharacteristic, complemented
170C2×#14519737C2211yescharacteristic
171C2×#14519737C2211yescharacteristic
172C2×#14519737C2211yescharacteristic
173C2×#14519737C2211yescharacteristic
174C2×#14519737C2211yescharacteristic
175C2×#14519737C2211yescharacteristic
176C2×#14519737C2211yescharacteristic, complemented
177C2×#14519737C2211yescharacteristic, complemented
178C2×#14519736C2211yescharacteristic, complemented
179C2×#14519736C2211yescharacteristic, complemented
180C2×#14519735C2211yescharacteristic, complemented
181C2×#14519735C2211yescharacteristic, complemented
182C2×#14519735C2211yescharacteristic, complemented
183C2×#14519735C2211yescharacteristic, complemented
184C2×#14519734C2211yescharacteristic, complemented
185C2×#14519734C2211yescharacteristic, complemented
186C2×#14519734C2211yescharacteristic, complemented
187C2×#14519734C2211yescharacteristic, complemented
188C2×#14519733C2211yescharacteristic
189C2×#14519733C2211yescharacteristic
190C2×#14519733C2211yescharacteristic, complemented
191C2×#14519733C2211yescharacteristic, complemented
192C2×C4⋊C4×D61C2211yescharacteristic, complemented
193C2×C4⋊C4×D61C2211yescharacteristic, complemented
194C2×C4⋊C4×D61C2211yescharacteristic, complemented
195C2×C4⋊C4×D61C2211yescharacteristic, complemented
196C22×C22⋊Dic61C2211yescharacteristic
197C2×C22⋊C4×D61C2211yescharacteristic
198C2×C22⋊C4×D61C2211yescharacteristic
199C2×C22⋊C4×D61C2211yescharacteristic
200C2×C22⋊C4×D61C2211yescharacteristic
201C2×C42×D61C2211yescharacteristic, complemented
202C2×C42×D61C2211yescharacteristic, complemented
203C2×#126×C61C2211yescharacteristic
204C2×#126×C61C2211yescharacteristic
205C2×#126×C61C2211yescharacteristic
206C2×#126×C61C2211yescharacteristic
207C2×#126×C61C2211yescharacteristic, complemented
208C2×#126×C61C2211yescharacteristic, complemented
209C2×#126×C61C2211yescharacteristic, complemented
210C2×#126×C61C2211yescharacteristic, complemented
211C2×#126×C61C22116yescomplemented
212C22×C4⋊C4×C61C2211yescharacteristic, complemented
213C22×C4⋊C4×C61C2211yescharacteristic, complemented
214C22×C4⋊C4×C61C2211yescharacteristic, complemented
215C22×C22⋊C4×C61C2211yescharacteristic
216C22×C22⋊C4×C61C2211yescharacteristic
217C22×C22⋊C4×C61C2211yescharacteristic
218C22×C42×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C2×#11758222—28no—
221C2×#11758222—28no—
222C2×#11758222C2318yes—
223C2×#11758222C2318yes—
224C22×Dic122C2311yescharacteristic
225C22×Dic122C2311yescharacteristic
226C22×Dic122C2311yescharacteristic
227C22×Dic122C2311yescharacteristic
228C22×Dic122C2311yescharacteristic
229C22×D244C2311yescharacteristic
230C22×D244C2311yescharacteristic
231C22×D244C2311yescharacteristic
232C22×D244C2311yescharacteristic
233C22×D244C2311yescharacteristic
234C22×C22⋊D61—28no—
235C22×C22⋊D61C2311yescharacteristic
236C22×C22⋊D61C2311yescharacteristic
237C22×C22⋊D61C2311yescharacteristic
238C22×C22⋊D61C2311yescharacteristic
239C22×C22⋊D61C2311yescharacteristic
240C22×C22⋊D61C2318yes—
241C22×C22⋊D61C2311yescharacteristic
242C22×C22⋊D61C2311yescharacteristic
243C22×C22⋊D61C2311yescharacteristic
244C22×C22⋊D61C2311yescharacteristic
245C22×C22⋊D61C2311yescharacteristic
246C23×Dic61C2311yescharacteristic
247C23×Dic61C2311yescharacteristic
248C23×Dic61C2311yescharacteristic
249C22×C4×D61C2311yescharacteristic
250C22×C4×D61C2311yescharacteristic
251C22×C4×D61C2311yescharacteristic
252C22×C4×D61C2311yescharacteristic
253C22×C4×D61C2311yescharacteristic
254C22×C4×D61C2311yescharacteristic
255C22×C4×D61C2311yescharacteristic
256C22×C4×D61C2311yescharacteristic
257C22×C4×D61C2311yescharacteristic
258C22×C4×D61C2311yescharacteristic
259C22×C4×D61C2311yescharacteristic
260C22×C4×D61C2311yescharacteristic
261C22×C4×D61C2311yescharacteristic
262C22×C4×D61C2311yescharacteristic
263#14519776C2318yescomplemented
264#14519776C2318yescomplemented
265#14519772C2318yescomplemented
266#14519772C2318yescomplemented
267#14519772C2318yescomplemented
268#14519772C2318yescomplemented
269#14519772C2318yescomplemented
270#14519772C2318yescomplemented
271#14519771C2318yescomplemented
272#14519771C2318yescomplemented
273#14519770C2318yes—
274#14519770C2318yes—
275#14519770C2318yes—
276#14519770C2318yes—
277#14519770C2318yes—
278#14519770C2318yescomplemented
279#14519769C2318yescomplemented
280#14519768C2318yescomplemented
281#14519768C2318yescomplemented
282#14519767C2318yescomplemented
283#14519767C2318yescomplemented
284#14519767C2318yescomplemented
285#14519767C2318yescomplemented
286#14519767C2318yescomplemented
287#14519767C2318yescomplemented
288#14519765C2318yescomplemented
289#14519763C2318yes—
290#14519763C2318yes—
291#14519763C2318yes—
292#14519763C2318yes—
293#14519763C2318yes—
294#14519763C2318yescomplemented
295#14519762C2318yescomplemented
296#14519762C2318yescomplemented
297#14519762C2318yescomplemented
298#14519762C2318yescomplemented
299#14519762C2318yescomplemented
300#14519762C2318yescomplemented
301#14519761C2318yescomplemented
302#14519761C2318yescomplemented
303#14519760C2318yes—
304#14519760C2318yes—
305#14519760C2318yescomplemented
306#14519760C2318yescomplemented
307#14519759C2318yes—
308#14519759C2318yes—
309#14519759C2318yes—
310#14519759C2318yes—
311#14519759C2318yes—
312#14519759C2318yescomplemented
313#14519757C2318yescomplemented
314#14519757C2318yescomplemented
315#14519756C2318yescomplemented
316#14519756C2318yescomplemented
317#14519756C2318yescomplemented
318#14519755C2318yescomplemented
319#14519755C2318yescomplemented
320#14519755C2318yescomplemented
321#14519755C2318yescomplemented
322#14519755C2318yescomplemented
323#14519755C2318yescomplemented
324#14519754C2318yes—
325#14519754C2318yes—
326#14519754C2318yescomplemented
327#14519754C2318yescomplemented
328#14519752C2318yescomplemented
329#14519752C2318yescomplemented
330#14519751C2318yes—
331#14519751C2318yes—
332#14519751C2318yescomplemented
333#14519750C2318yes—
334#14519750C2318yes—
335#14519750C2318yes—
336#14519750C2318yes—
337#14519750C2318yes—
338#14519750C2318yescomplemented
339#14519747C2318yes—
340#14519747C2318yes—
341#14519746C2318yes—
342#14519746C2318yes—
343C4×Dic122C2318yescomplemented
344C4×Dic122C2318yescomplemented
345C4×Dic122C2318yescomplemented
346#14519742C2318yescomplemented
347#14519742C2318yescomplemented
348#14519742C2318yescomplemented
349#14519742C2318yescomplemented
350C4×D244C2318yescomplemented
351C4×D244C2318yescomplemented
352C4×D244C2318yescomplemented
353#14519739C2318yescomplemented
354#14519739C2318yescomplemented
355#14519739C2318yescomplemented
356#14519739C2318yescomplemented
357C4×C22⋊D61C2318yes—
358C4×C22⋊D61C2318yes—
359C4×C22⋊D61C2318yes—
360C4×C22⋊D61C2318yes—
361C4×C22⋊D61C2318yes—
362C4×C22⋊D61C2318yes—
363C4×C22⋊D61C2318yescomplemented
364C4×C22⋊D61C2318yescomplemented
365C4×C22⋊D61C2318yescomplemented
366C4×C22⋊D61C2318yescomplemented
367#14519737C2318yes—
368#14519737C2318yes—
369#14519737C2318yes—
370#14519737C2318yes—
371#14519737C2318yes—
372#14519737C2318yes—
373#14519737C2318yescomplemented
374#14519737C2318yescomplemented
375#14519736C2318yescomplemented
376#14519736C2318yescomplemented
377#14519735C2318yescomplemented
378#14519735C2318yescomplemented
379#14519735C2318yescomplemented
380#14519735C2318yescomplemented
381#14519734C2318yescomplemented
382#14519734C2318yescomplemented
383#14519734C2318yescomplemented
384#14519734C2318yescomplemented
385#14519733C2318yes—
386#14519733C2318yes—
387#14519733C2318yescomplemented
388#14519733C2318yescomplemented
389C2×C4⋊Dic61C2311yescharacteristic
390C2×C4⋊Dic61C2311yescharacteristic
391C2×C4⋊Dic61C2311yescharacteristic
392C2×C4⋊Dic61C2311yescharacteristic
393C2×C4⋊Dic61C2311yescharacteristic
394C2×C4⋊Dic61C2311yescharacteristic
395C2×C4⋊Dic61C2311yescharacteristic
396C2×C4⋊Dic61C2311yescharacteristic
397C2×C4⋊Dic61C2311yescharacteristic
398C2×C4⋊Dic61C2311yescharacteristic
399C2×#11758196C2311yescharacteristic
400C2×#11758196C2311yescharacteristic
401C2×#11758196C2311yescharacteristic
402C2×#11758196C2311yescharacteristic
403C2×#11758196C2311yescharacteristic
404C2×#11758196C2311yescharacteristic
405C2×#11758196C2311yescharacteristic
406C2×#11758196C2311yescharacteristic
407C2×#11758196C2311yescharacteristic
408C2×#11758196C2311yescharacteristic
409C2×#11758196C2311yescharacteristic
410C2×#11758196C2311yescharacteristic
411C2×#11758196C2311yescharacteristic
412C2×#11758196C2311yescharacteristic
413C2×#11758196C2311yescharacteristic
414C2×#11758196C2311yescharacteristic
415C2×#11758196C2311yescharacteristic
416C2×#11758196C2311yescharacteristic
417C2×#11758196C2311yescharacteristic
418C2×#11758196C2311yescharacteristic
419C2×#11758196C2311yescharacteristic
420C2×#11758196C2311yescharacteristic
421C2×#11758196C2311yescharacteristic
422C2×#11758196C2311yescharacteristic
423C4⋊C4×D61C2318yescomplemented
424C4⋊C4×D61C2318yescomplemented
425C4⋊C4×D61C2318yescomplemented
426C4⋊C4×D61C2318yescomplemented
427C2×C22⋊Dic61C2311yescharacteristic
428C2×C22⋊Dic61C2311yescharacteristic
429C2×C22⋊Dic61C2311yescharacteristic
430C2×C22⋊Dic61C2311yescharacteristic
431C2×C22⋊Dic61C2311yescharacteristic
432C2×C22⋊Dic61C2311yescharacteristic
433C2×C22⋊Dic61C2318yes—
434C2×C22⋊Dic61C2311yescharacteristic
435C2×C22⋊Dic61C2311yescharacteristic
436C2×C22⋊Dic61C2311yescharacteristic
437C2×C22⋊Dic61C2311yescharacteristic
438C2×#11758198C2311yescharacteristic
439C2×#11758198C2311yescharacteristic
440C2×#11758198C2311yescharacteristic
441C2×#11758198C2311yescharacteristic
442C2×#11758198C2311yescharacteristic
443C2×#11758198C2311yescharacteristic
444C2×#11758198C2311yescharacteristic
445C2×#11758198C2311yescharacteristic
446C2×#11758198C2311yescharacteristic
447C2×#11758198C2311yescharacteristic
448C2×#11758198C2311yescharacteristic
449C2×#11758198C2311yescharacteristic
450C2×#11758198C2311yescharacteristic
451C2×#11758198C2311yescharacteristic
452C2×#11758198C2311yescharacteristic
453C2×#11758198C2311yescharacteristic
454C2×#11758198C2311yescharacteristic
455C2×#11758198C2311yescharacteristic
456C2×#11758198C2311yescharacteristic
457C2×#11758198C2311yescharacteristic
458C2×#11758198C2311yescharacteristic
459C2×#11758198C2311yescharacteristic
460C2×#11758198C2311yescharacteristic
461C2×#11758198C2311yescharacteristic
462C22⋊C4×D61C2318yes—
463C22⋊C4×D61C2318yes—
464C22⋊C4×D61C2318yes—
465C22⋊C4×D61C2318yes—
466C2×C4×Dic61C2311yescharacteristic
467C2×C4×Dic61C2311yescharacteristic
468C2×C4×Dic61C2311yescharacteristic
469C2×C4×Dic61C2311yescharacteristic
470C2×C4×Dic61C2311yescharacteristic
471C2×C4×Dic61C2311yescharacteristic
472C2×C4×Dic61C2311yescharacteristic
473C2×C4×Dic61C2311yescharacteristic
474C2×C4×Dic61C2311yescharacteristic
475C2×C4×Dic61C2311yescharacteristic
476C2×C4×Dic61C2311yescharacteristic
477C2×C4×Dic61C2311yescharacteristic
478C2×C4×Dic61C2311yescharacteristic
479C2×C4×Dic61C2311yescharacteristic
480C42×D61C2318yescomplemented
481C42×D61C2318yescomplemented
482C25×C61C2311yescharacteristic
483C23×C4×C61C2311yescharacteristic
484C23×C4×C61C2311yescharacteristic
485C23×C4×C61C2311yescharacteristic
486C23×C4×C61C2311yescharacteristic
487C23×C4×C61C2311yescharacteristic
488C23×C4×C61C2311yescharacteristic
489#126×C61C2318yes—
490#126×C61C2318yes—
491#126×C61C2318yes—
492#126×C61C2318yes—
493#126×C61C2318yescomplemented
494#126×C61C2318yescomplemented
495#126×C61C2318yescomplemented
496#126×C61C2318yescomplemented
497C2×C4⋊C4×C61C2311yescharacteristic
498C2×C4⋊C4×C61C2311yescharacteristic
499C2×C4⋊C4×C61C2311yescharacteristic
500C2×C4⋊C4×C61C2311yescharacteristic
501C2×C4⋊C4×C61C2311yescharacteristic
502C2×C4⋊C4×C61C2311yescharacteristic
503C2×C4⋊C4×C61C2311yescharacteristic
504C2×C4⋊C4×C61C2311yescharacteristic
505C2×C4⋊C4×C61C2311yescharacteristic
506C2×C4⋊C4×C61C2311yescharacteristic
507C2×C4⋊C4×C61C2311yescharacteristic
508C2×C4⋊C4×C61C2311yescharacteristic
509C2×C4⋊C4×C61C2318yescomplemented
510C2×C4⋊C4×C61C2318yescomplemented
511C2×C4⋊C4×C61C2318yescomplemented
512C2×C22⋊C4×C61C2311yescharacteristic
513C2×C22⋊C4×C61C2311yescharacteristic
514C2×C22⋊C4×C61C2311yescharacteristic
515C2×C22⋊C4×C61C2311yescharacteristic
516C2×C22⋊C4×C61C2311yescharacteristic
517C2×C22⋊C4×C61C2311yescharacteristic
518C2×C22⋊C4×C61C2311yescharacteristic
519C2×C22⋊C4×C61C2311yescharacteristic
520C2×C22⋊C4×C61C2318yes—
521C2×C22⋊C4×C61C2311yescharacteristic
522C2×C22⋊C4×C61C2311yescharacteristic
523C2×C22⋊C4×C61C2311yescharacteristic
524C2×C22⋊C4×C61C2311yescharacteristic
525C2×C22⋊C4×C61C2318yes—
526C2×C22⋊C4×C61C2318yes—
527C2×C42×C61C2311yescharacteristic
528C2×C42×C61C2311yescharacteristic
529C2×C42×C61C2311yescharacteristic
530C2×C42×C61C2311yescharacteristic
531C2×C42×C61C2318yescomplemented
532C24×C61—24no—
533C24×C61—42no—
534C24×C61—42no—
535C24×C61C2411yescharacteristic
536C24×C61C2411yescharacteristic
537C24×C61C2411yescharacteristic
538C24×C61C2414yes—
539C23×D61—24no—
540C23×D61—42no—
541C23×D61—42no—
542C23×D61C2411yescharacteristic
543C23×D61C2411yescharacteristic
544C23×D61C2411yescharacteristic
545C23×D61C2411yescharacteristic
546C23×D61C2414yes—
547C22×C4×C61—24no—
548C22×C4×C61—24no—
549C22×C4×C61—42no—
550C22×C4×C61—42no—
551C22×C4×C61—42no—
552C22×C4×C61—42no—
553C22×C4×C61C2411yescharacteristic
554C22×C4×C61C2411yescharacteristic
555C22×C4×C61C2411yescharacteristic
556C22×C4×C61C2411yescharacteristic
557C22×C4×C61C2411yescharacteristic
558C22×C4×C61C2411yescharacteristic
559C22×C4×C61C2411yescharacteristic
560C22×C4×C61C2411yescharacteristic
561C22×C4×C61C2411yescharacteristic
562C22×C4×C61C2411yescharacteristic
563C22×C4×C61C2411yescharacteristic
564C22×C4×C61C2411yescharacteristic
565C22×C4×C61C2414yes—
566C22×C4×C61C2414yes—
567C22×C4×C61C2414yes—
568C22×C4×C61C2414yes—
569C22×C4×C61C2414yes—
570C22×C4×C61C2414yes—
571C2×C22⋊D61—24no—
572C2×C22⋊D61—24no—
573C2×C22⋊D61—24no—
574C2×C22⋊D61—24no—
575C2×C22⋊D61—232no—
576C2×C22⋊D61—24no—
577C2×C22⋊D61—42no—
578C2×C22⋊D61—42no—
579C2×C22⋊D61—42no—
580C2×C22⋊D61—42no—
581C2×C22⋊D61#4118yes—
582C2×C22⋊D61C2414yes—
583C2×C22⋊D61C2414yes—
584C2×C22⋊D61C2414yes—
585C2×C22⋊D61C2414yes—
586C2×C22⋊D61C2414yes—
587C2×C22⋊D61C2414yes—
588C2×C22⋊D61C2414yes—
589C2×C22⋊D61C2414yes—
590C2×C22⋊D61C2414yes—
591C2×C22⋊D61C2414yes—
592C22×Dic61—24no—
593C22×Dic61—42no—
594C22×Dic61—42no—
595C22×Dic61C2411yescharacteristic
596C22×Dic61C2411yescharacteristic
597C22×Dic61C2411yescharacteristic
598C22×Dic61C2411yescharacteristic
599C22×Dic61C2411yescharacteristic
600C22×Dic61C2411yescharacteristic
601C22×Dic61C2411yescharacteristic
602C22×Dic61C2411yescharacteristic
603C22×Dic61C2411yescharacteristic
604C22×Dic61C2411yescharacteristic
605C22×Dic61C2414yes—
606C22×Dic61C2411yescharacteristic
607C22×Dic61C2414yes—
608C22×Dic61C2414yes—
609C22×Dic61C2411yescharacteristic
610#11758222—232no—
611#11758222—232no—
612C2×D244—24no—
613C2×D244—24no—
614C2×D244—42no—
615C2×D244—42no—
616C2×D244—42no—
617C2×D244C2414yes—
618C2×D244C2414yes—
619C2×D244C2414yes—
620C2×D244C2414yes—
621C2×D244C2414yes—
622C2×C4×D61—24no—
623C2×C4×D61—24no—
624C2×C4×D61—24no—
625C2×C4×D61—24no—
626C2×C4×D61—42no—
627C2×C4×D61—42no—
628C2×C4×D61—42no—
629C2×C4×D61—42no—
630C2×C4×D61—42no—
631C2×C4×D61—42no—
632C2×C4×D61—42no—
633C2×C4×D61—42no—
634C2×C4×D61—42no—
635C2×C4×D61—42no—
636C2×C4×D61C2414yes—
637C2×C4×D61C2414yes—
638C2×C4×D61C2414yes—
639C2×C4×D61C2414yes—
640C2×C4×D61C2414yes—
641C2×C4×D61C2414yes—
642C2×C4×D61C2414yes—
643C2×C4×D61C2414yes—
644C2×C4×D61C2414yes—
645C2×C4×D61C2414yes—
646C2×C4×D61C2414yes—
647C2×C4×D61C2414yes—
648C2×C4×D61C2414yes—
649C2×C4×D61C2414yes—
650C2×Dic122—24no—
651C2×Dic122—24no—
652C2×Dic122—42no—
653C2×Dic122—42no—
654C2×Dic122—42no—
655C2×Dic122C2414yes—
656C2×Dic122C2414yes—
657C2×Dic122C2414yes—
658C2×Dic122C2414yes—
659C2×Dic122C2414yes—
660C4⋊C4×C61C2414yes—
661C4⋊C4×C61C2414yes—
662C4⋊C4×C61C2414yes—
663C4⋊C4×C61C2414yes—
664C4⋊C4×C61C2414yes—
665C4⋊C4×C61C2414yes—
666C4⋊C4×C61C2414yes—
667C4⋊C4×C61C2414yes—
668C4⋊C4×C61C2414yes—
669C4⋊C4×C61C2414yes—
670C4⋊C4×C61C2414yes—
671C4⋊C4×C61C2414yes—
672C22⋊C4×C61C2414yes—
673C22⋊C4×C61C2414yes—
674C22⋊C4×C61C2414yes—
675C22⋊C4×C61C2414yes—
676C22⋊C4×C61C2414yes—
677C22⋊C4×C61C2414yes—
678C22⋊C4×C61C2414yes—
679C22⋊C4×C61C2414yes—
680C22⋊C4×C61C2414yes—
681C22⋊C4×C61C2414yes—
682C22⋊C4×C61C2414yes—
683C22⋊C4×C61C2414yes—
684C42×C61C2414yes—
685C42×C61C2414yes—
686C42×C61C2414yes—
687C42×C61C2414yes—
688C22⋊Dic61C2414yes—
689C22⋊Dic61C2414yes—
690C22⋊Dic61C2414yes—
691C22⋊Dic61C2414yes—
692C22⋊Dic61C2414yes—
693C22⋊Dic61C2414yes—
694C22⋊Dic61C2414yes—
695C22⋊Dic61C2414yes—
696C22⋊Dic61C2414yes—
697C22⋊Dic61C2414yes—
698#11758198C2414yes—
699#11758198C2414yes—
700#11758198C2414yes—
701#11758198C2414yes—
702#11758198C2414yes—
703#11758198C2414yes—
704#11758198C2414yes—
705#11758198C2414yes—
706#11758198C2414yes—
707#11758198C2414yes—
708#11758198C2414yes—
709#11758198C2414yes—
710#11758198C2414yes—
711#11758198C2414yes—
712#11758198C2414yes—
713#11758198C2414yes—
714#11758198C2414yes—
715#11758198C2414yes—
716#11758198C2414yes—
717#11758198C2414yes—
718#11758198C2414yes—
719#11758198C2414yes—
720#11758198C2414yes—
721#11758198C2414yes—
722C4⋊Dic61C2414yes—
723C4⋊Dic61C2414yes—
724C4⋊Dic61C2414yes—
725C4⋊Dic61C2414yes—
726C4⋊Dic61C2414yes—
727C4⋊Dic61C2414yes—
728C4⋊Dic61C2414yes—
729C4⋊Dic61C2414yes—
730C4⋊Dic61C2414yes—
731C4⋊Dic61C2414yes—
732#11758196C2414yes—
733#11758196C2414yes—
734#11758196C2414yes—
735#11758196C2414yes—
736#11758196C2414yes—
737#11758196C2414yes—
738#11758196C2414yes—
739#11758196C2414yes—
740#11758196C2414yes—
741#11758196C2414yes—
742#11758196C2414yes—
743#11758196C2414yes—
744#11758196C2414yes—
745#11758196C2414yes—
746#11758196C2414yes—
747#11758196C2414yes—
748#11758196C2414yes—
749#11758196C2414yes—
750#11758196C2414yes—
751#11758196C2414yes—
752#11758196C2414yes—
753#11758196C2414yes—
754#11758196C2414yes—
755#11758196C2414yes—
756C4×Dic61C2414yes—
757C4×Dic61C2414yes—
758C4×Dic61C2414yes—
759C4×Dic61C2414yes—
760C4×Dic61C2414yes—
761C4×Dic61C2414yes—
762C4×Dic61C2414yes—
763C4×Dic61C2414yes—
764C4×Dic61C2414yes—
765C4×Dic61C2414yes—
766C4×Dic61C2414yes—
767C4×Dic61C2414yes—
768C4×Dic61C2414yes—
769C4×Dic61C2414yes—
770C23×C61—22no—
771C23×C61—22no—
772C23×C61—22no—
773C23×C61—22no—
774C23×C61—22no—
775C23×C61—22no—
776C23×C61—22no—
777C23×C61—22no—
778C23×C61—28no—
779C23×C61—44no—
780C23×C61—44no—
781C23×C61—88no—
782C23×C61C2×#4114yes—
783C23×C61C2512yes—
784C23×C61C2512yes—
785C23×C61C2512yes—
786C23×C61C2511yescharacteristic
787C22×D61—22no—
788C22×D61—22no—
789C22×D61—22no—
790C22×D61—22no—
791C22×D61—22no—
792C22×D61—22no—
793C22×D61—22no—
794C22×D61—22no—
795C22×D61—22no—
796C22×D61—22no—
797C22×D61—22no—
798C22×D61—28no—
799C22×D61—44no—
800C22×D61—44no—
801C22×D61—88no—
802C22×D61C2×#4114yes—
803C22×D61C2512yes—
804C22×D61C2512yes—
805C22×D61C2512yes—
806C22×D61C2512yes—
807C2×C4×C61—22no—
808C2×C4×C61—22no—
809C2×C4×C61—22no—
810C2×C4×C61—22no—
811C2×C4×C61—28no—
812C2×C4×C61—28no—
813C2×C4×C61—22no—
814C2×C4×C61—22no—
815C2×C4×C61—22no—
816C2×C4×C61—22no—
817C2×C4×C61—22no—
818C2×C4×C61—22no—
819C2×C4×C61—22no—
820C2×C4×C61—22no—
821C2×C4×C61—44no—
822C2×C4×C61—44no—
823C2×C4×C61—44no—
824C2×C4×C61—44no—
825C2×C4×C61C2512yes—
826C2×C4×C61C2512yes—
827C2×C4×C61C2512yes—
828C2×C4×C61C2512yes—
829C2×C4×C61C2512yes—
830C2×C4×C61C2512yes—
831C2×C4×C61C2512yes—
832C2×C4×C61C2512yes—
833C2×C4×C61C2512yes—
834C2×C4×C61C2512yes—
835C2×C4×C61C2512yes—
836C2×C4×C61C2512yes—
837C22⋊D61—28no—
838C22⋊D61—28no—
839C22⋊D61—28no—
840C22⋊D61—28no—
841C22⋊D61—28no—
842C22⋊D61—44no—
843C22⋊D61—44no—
844C22⋊D61—44no—
845C22⋊D61—44no—
846C22⋊D61C2×#41116yes—
847C2×Dic61—22no—
848C2×Dic61—22no—
849C2×Dic61—22no—
850C2×Dic61—22no—
851C2×Dic61—22no—
852C2×Dic61—22no—
853C2×Dic61—22no—
854C2×Dic61—22no—
855C2×Dic61—22no—
856C2×Dic61—22no—
857C2×Dic61—22no—
858C2×Dic61—28no—
859C2×Dic61—44no—
860C2×Dic61—44no—
861C2×Dic61C2×#4114yes—
862C2×Dic61C2512yes—
863C2×Dic61C2512yes—
864C2×Dic61C2512yes—
865C2×Dic61C2512yes—
866C2×Dic61C2512yes—
867C2×Dic61C2512yes—
868C2×Dic61C2512yes—
869C2×Dic61C2512yes—
870C2×Dic61C2512yes—
871C2×Dic61C2512yes—
872C2×Dic61C2512yes—
873C2×Dic61C2512yes—
874D244—28no—
875D244—28no—
876D244—44no—
877D244—44no—
878D244—44no—
879C4×D61—28no—
880C4×D61—28no—
881C4×D61—28no—
882C4×D61—28no—
883C4×D61—44no—
884C4×D61—44no—
885C4×D61—44no—
886C4×D61—44no—
887C4×D61—44no—
888C4×D61—44no—
889C4×D61—44no—
890C4×D61—44no—
891C4×D61—44no—
892C4×D61—44no—
893Dic122—28no—
894Dic122—28no—
895Dic122—44no—
896Dic122—44no—
897Dic122—44no—
898C2×#3521—611nomaximal, Sylow
899C22×C61—22no—
900C22×C61—22no—
901C22×C61—28no—
902C22×C61—22no—
903C22×C61—22no—
904C22×C61—22no—
905C22×C61—22no—
906C22×C61—22no—
907C22×C61—22no—
908C22×C61—44no—
909C22×C61—44no—
910C22×C61—88no—
911C22×C61C22×#4114yes—
912C22×C61C22×#4112yes—
913C22×C61#58512yes—
914C22×C61#58512yes—
915C22×C61C2611yescharacteristic
916C2×D61—22no—
917C2×D61—22no—
918C2×D61—28no—
919C2×D61—22no—
920C2×D61—22no—
921C2×D61—22no—
922C2×D61—22no—
923C2×D61—22no—
924C2×D61—22no—
925C2×D61—22no—
926C2×D61—22no—
927C2×D61—22no—
928C2×D61—44no—
929C2×D61—44no—
930C2×D61—44no—
931C2×D61—88no—
932C2×D61C22×#4114yes—
933C4×C61—22no—
934C4×C61—22no—
935C4×C61—22no—
936C4×C61—22no—
937C4×C61—22no—
938C4×C61—22no—
939C4×C61—22no—
940C4×C61—22no—
941C4×C61—22no—
942C4×C61—22no—
943C4×C61—22no—
944C4×C61—22no—
945Dic61—22no—
946Dic61—22no—
947Dic61—22no—
948Dic61—22no—
949Dic61—22no—
950Dic61—22no—
951Dic61—22no—
952Dic61—22no—
953Dic61—22no—
954Dic61—22no—
955Dic61—22no—
956Dic61C22×#4114yes—
957#3521—6132no—
958C2×#556—611no—
959C2×#556—611no—
960C2×#554—611no—
961C2×#553—611no—
962C2×#553—611no—
963C2×#553—611no—
964C2×#552—611no—
965C2×#552—611no—
966C2×#552—611no—
967C2×#551—611no—
968C2×#551—611no—
969C2×#551—611no—
970C2×#551—611no—
971C2×#547—611no—
972C2×#546—611no—
973C2×#546—611no—
974C2×#542—611no—
975C2×#541—611no—
976C2×#539—611no—
977C2×#539—611no—
978C2×#538—611no—
979C2×#538—611no—
980C2×#529—611no—
981C2×#529—611no—
982C2×#529—611no—
983C2×#529—611no—
984C22×#126—611no—
985C22×#126D6111yescharacteristic, complemented
986C2×#520—611no—
987C2×#518—611no—
988C2×C4×#41—611no—
989C2×C61—24no—
990C2×C61—42no—
991C2×C61—42no—
992C2×C61#352114yescomplemented
993C2×C61C23×#4111yescharacteristic
994C2×C61C2×#58511yescharacteristic
995C2×C61C2×#58511yescharacteristic
996D61—24no—
997D61—42no—
998D61—42no—
999D61—42no—
1000C22×#41—611no—
1001C22×#41—611no—
1002C23×D4—611no—
1003#556—6116no—
1004#556—6116no—
1005#554—6116no—
1006#553—6116no—
1007#553—6116no—
1008#553—6116no—
1009#552—6116no—
1010#552—6116no—
1011#552—6116no—
1012#551—6116no—
1013#551—6116no—
1014#551—6116no—
1015#551—6116no—
1016#547—6116no—
1017#546—6116no—
1018#546—6116no—
1019#542—6116no—
1020#541—6116no—
1021#539—6116no—
1022#539—6116no—
1023#538—6116no—
1024#538—6116no—
1025C2×C4⋊Q8—611no—
1026C2×C4⋊Q8—611no—
1027#529—6116no—
1028#529—6116no—
1029#529—6116no—
1030#529—6116no—
1031C2×#126—6116no—
1032C2×#126—611no—
1033C2×#126—611no—
1034C2×#126—611no—
1035C2×#126—611no—
1036C2×#126—611no—
1037C2×#126—611no—
1038C2×#126—611no—
1039C2×#126—611no—
1040C2×#126—611no—
1041C2×#126—611no—
1042C2×#126—611no—
1043C2×#126—611no—
1044C2×#126—611no—
1045C2×#126—611no—
1046C2×#126C2×D6111yescharacteristic
1047C2×#126C2×D6111yescharacteristic
1048C2×#126C2×D6111yescharacteristic
1049C2×#126C2×D6111yescharacteristic
1050C2×#126C2×D6111yescharacteristic, complemented
1051C2×#126C2×D6111yescharacteristic, complemented
1052C2×#126C2×D6111yescharacteristic, complemented
1053C2×#126C2×D6111yescharacteristic, complemented
1054C2×#126C2×D61116yescomplemented
1055C2×#125—611no—
1056C2×#125—611no—
1057C2×#125—611no—
1058C2×#125—611no—
1059C2×#125—611no—
1060C2×#125—611no—
1061C2×#125—611no—
1062C2×#125—611no—
1063C2×#125—611no—
1064C2×#124—611no—
1065C2×#124—611no—
1066C2×#124—611no—
1067C2×#124—611no—
1068C2×#124—611no—
1069C2×#124—611no—
1070C2×#124—611no—
1071C2×#123—611no—
1072C2×#123—611no—
1073C2×#123—611no—
1074C2×#123—611no—
1075C2×#123—611no—
1076C2×#123—611no—
1077C2×#123—611no—
1078C2×#123—611no—
1079C2×#123—611no—
1080C2×#123—611no—
1081C2×#123—611no—
1082C2×#123—611no—
1083C2×#123—611no—
1084C2×#123—611no—
1085C2×#123—611no—
1086C2×#123—611no—
1087C2×#123—611no—
1088C2×#123—611no—
1089C2×C22⋊Q8—611no—
1090C2×C22⋊Q8—611no—
1091C2×C22⋊Q8—611no—
1092C2×C22⋊Q8—611no—
1093C2×C22⋊Q8—611no—
1094C2×C22⋊Q8—611no—
1095C2×C22⋊Q8—611no—
1096C2×C22⋊Q8—611no—
1097C2×C22⋊Q8—611no—
1098C2×C22⋊Q8—611no—
1099C2×C22⋊Q8—611no—
1100C2×C22⋊Q8—611no—
1101C2×C22⋊Q8—611no—
1102C2×C22⋊Q8—611no—
1103C2×C22⋊Q8—611no—
1104C2×#121—611no—
1105C2×#121—611no—
1106C2×#121—611no—
1107C2×#121—611no—
1108C2×#121—611no—
1109C2×#121—611no—
1110C2×#121—611no—
1111C2×#121—611no—
1112C2×#121—611no—
1113C2×#121—611no—
1114C2×#121—611no—
1115C2×#120—611no—
1116C2×#120—611no—
1117C2×#120—611no—
1118C2×#120—611no—
1119#520—6116no—
1120#518—6116no—
1121C4×#41—6116no—
1122C2×C4×Q8—611no—
1123C2×C4×Q8—611no—
1124C2×C4×Q8—611no—
1125C2×C4×Q8—611no—
1126C2×C4×Q8—611no—
1127C2×C4×Q8—611no—
1128C2×C4×Q8—611no—
1129C2×C4×D4—611no—
1130C2×C4×D4—611no—
1131C2×C4×D4—611no—
1132C2×C4×D4—611no—
1133C2×C4×D4—611no—
1134C2×C4×D4—611no—
1135C2×C4×D4—611no—
1136C2×C4×D4—611no—
1137C2×C4×D4—611no—
1138C2×C4×D4—611no—
1139C2×C4×D4—611no—
1140C2×C4×D4—611no—
1141C2×C4×D4—611no—
1142C2×C4×D4—611no—
1143C2×C4×D4—611no—
1144C2×C4×D4—611no—
1145C2×C4×D4—611no—
1146C2×C4×D4—611no—
1147C2×C4×D4—611no—
1148C2×C4×D4—611no—
1149C2×C4×D4—611no—
1150C2×C4×D4—611no—
1151C2×C4×D4—611no—
1152C2×C4×D4—611no—
1153C2×C4×D4—611no—
1154C2×#117—611no—
1155C2×#117—611no—
1156C2×#117—611no—
1157C2×#117—611no—
1158C2×#117—611no—
1159C2×#117—611no—
1160C2×#117—611no—
1161C2×#117—611no—
1162C2×#117—611no—
1163C2×#117—611no—
1164C2×#117—611no—
1165C2×#117—611no—
1166C2×#117—611no—
1167C2×#117—611no—
1168C22×C4⋊C4—611no—
1169C22×C4⋊C4—611no—
1170C22×C4⋊C4—611no—
1171C22×C4⋊C4—611no—
1172C22×C4⋊C4C2×D6111yescharacteristic, complemented
1173C22×C4⋊C4C2×D6111yescharacteristic, complemented
1174C22×C4⋊C4C2×D6111yescharacteristic, complemented
1175C22×C22⋊C4—611no—
1176C22×C22⋊C4—611no—
1177C22×C22⋊C4—611no—
1178C22×C22⋊C4—611no—
1179C22×C22⋊C4—611no—
1180C22×C22⋊C4C2×D6111yescharacteristic
1181C22×C22⋊C4C2×D6111yescharacteristic
1182C22×C22⋊C4C2×D6111yescharacteristic
1183C22×C42—611no—
1184C22×C42—611no—
1185C22×C42C2×D6111yescharacteristic, complemented
1186C61C2×#352111yescharacteristic, complemented, Sylow
1187C25—611no—
1188C25C22×D6111yescharacteristic
1189C2×#41—618no—
1190C2×#41—618no—
1191C2×#41—1228no—
1192C2×#41—1228no—
1193C22×Q8—611no—
1194C22×Q8—611no—
1195C22×Q8—611no—
1196C22×Q8—611no—
1197C22×Q8—611no—
1198C22×D4—611no—
1199C22×D4—611no—
1200C22×D4—611no—
1201C22×D4—611no—
1202C22×D4—611no—
1203C22×D4—611no—
1204C22×D4—618no—
1205C22×D4—611no—
1206C22×D4—611no—
1207C22×D4—611no—
1208C22×D4—611no—
1209C22×D4—611no—
1210C22×D4—611no—
1211C22×D4—611no—
1212C22×D4—611no—
1213C22×D4—611no—
1214C22×D4—1228no—
1215C23×C4—611no—
1216C23×C4—611no—
1217C23×C4—611no—
1218C23×C4—611no—
1219C23×C4—611no—
1220C23×C4—611no—
1221C23×C4—611no—
1222C23×C4—611no—
1223C23×C4—611no—
1224C23×C4—611no—
1225C23×C4—611no—
1226C23×C4—611no—
1227C23×C4—611no—
1228C23×C4—611no—
1229C23×C4—611no—
1230C23×C4—611no—
1231C23×C4—611no—
1232C23×C4C22×D6111yescharacteristic
1233C23×C4C22×D6111yescharacteristic
1234C23×C4C22×D6111yescharacteristic
1235C23×C4C22×D6111yescharacteristic
1236C23×C4C22×D6111yescharacteristic
1237C23×C4C22×D6111yescharacteristic
1238C4⋊Q8—618no—
1239C4⋊Q8—618no—
1240#126—618no—
1241#126—618no—
1242#126—618no—
1243#126—618no—
1244#126—618no—
1245#126—618no—
1246#126—618no—
1247#126—618no—
1248#126—618no—
1249#126—618no—
1250#126—618no—
1251#126—618no—
1252#126—618no—
1253#126—618no—
1254#126C22×D6118yes—
1255#126C22×D6118yes—
1256#126C22×D6118yes—
1257#126C22×D6118yes—
1258#126C22×D6118yescomplemented
1259#126C22×D6118yescomplemented
1260#126C22×D6118yescomplemented
1261#126C22×D6118yescomplemented
1262#125—618no—
1263#125—618no—
1264#125—618no—
1265#125—618no—
1266#125—618no—
1267#125—618no—
1268#125—618no—
1269#125—618no—
1270#125—618no—
1271#124—618no—
1272#124—618no—
1273#124—618no—
1274#124—618no—
1275#124—618no—
1276#124—618no—
1277#124—618no—
1278#123—618no—
1279#123—618no—
1280#123—618no—
1281#123—618no—
1282#123—618no—
1283#123—618no—
1284#123—618no—
1285#123—618no—
1286#123—618no—
1287#123—618no—
1288#123—618no—
1289#123—618no—
1290#123—618no—
1291#123—618no—
1292#123—618no—
1293#123—618no—
1294#123—618no—
1295#123—618no—
1296C22⋊Q8—618no—
1297C22⋊Q8—618no—
1298C22⋊Q8—618no—
1299C22⋊Q8—618no—
1300C22⋊Q8—618no—
1301C22⋊Q8—618no—
1302C22⋊Q8—618no—
1303C22⋊Q8—618no—
1304C22⋊Q8—618no—
1305C22⋊Q8—618no—
1306C22⋊Q8—618no—
1307C22⋊Q8—618no—
1308C22⋊Q8—618no—
1309C22⋊Q8—618no—
1310C22⋊Q8—618no—
1311#121—618no—
1312#121—618no—
1313#121—618no—
1314#121—618no—
1315#121—618no—
1316#121—618no—
1317#121—618no—
1318#121—618no—
1319#121—618no—
1320#121—618no—
1321#121—618no—
1322#120—618no—
1323#120—618no—
1324#120—618no—
1325#120—618no—
1326C4×Q8—618no—
1327C4×Q8—618no—
1328C4×Q8—618no—
1329C4×Q8—618no—
1330C4×Q8—618no—
1331C4×Q8—618no—
1332C4×Q8—618no—
1333C4×D4—618no—
1334C4×D4—618no—
1335C4×D4—618no—
1336C4×D4—618no—
1337C4×D4—618no—
1338C4×D4—618no—
1339C4×D4—618no—
1340C4×D4—618no—
1341C4×D4—618no—
1342C4×D4—618no—
1343C4×D4—618no—
1344C4×D4—618no—
1345C4×D4—618no—
1346C4×D4—618no—
1347C4×D4—618no—
1348C4×D4—618no—
1349C4×D4—618no—
1350C4×D4—618no—
1351C4×D4—618no—
1352C4×D4—618no—
1353C4×D4—618no—
1354C4×D4—618no—
1355C4×D4—618no—
1356C4×D4—618no—
1357C4×D4—618no—
1358#117—618no—
1359#117—618no—
1360#117—618no—
1361#117—618no—
1362#117—618no—
1363#117—618no—
1364#117—618no—
1365#117—618no—
1366#117—618no—
1367#117—618no—
1368#117—618no—
1369#117—618no—
1370#117—618no—
1371#117—618no—
1372C2×C4⋊C4—611no—
1373C2×C4⋊C4—611no—
1374C2×C4⋊C4—611no—
1375C2×C4⋊C4—611no—
1376C2×C4⋊C4—611no—
1377C2×C4⋊C4—611no—
1378C2×C4⋊C4—611no—
1379C2×C4⋊C4—611no—
1380C2×C4⋊C4—611no—
1381C2×C4⋊C4—611no—
1382C2×C4⋊C4—611no—
1383C2×C4⋊C4—611no—
1384C2×C4⋊C4—611no—
1385C2×C4⋊C4—611no—
1386C2×C4⋊C4—611no—
1387C2×C4⋊C4—611no—
1388C2×C4⋊C4—611no—
1389C2×C4⋊C4—611no—
1390C2×C4⋊C4—611no—
1391C2×C4⋊C4—611no—
1392C2×C4⋊C4—611no—
1393C2×C4⋊C4—611no—
1394C2×C4⋊C4—611no—
1395C2×C4⋊C4—611no—
1396C2×C4⋊C4—611no—
1397C2×C4⋊C4—611no—
1398C2×C4⋊C4—611no—
1399C2×C4⋊C4—611no—
1400C2×C4⋊C4—611no—
1401C2×C4⋊C4—611no—
1402C2×C4⋊C4—611no—
1403C2×C4⋊C4—611no—
1404C2×C4⋊C4—611no—
1405C2×C4⋊C4—611no—
1406C2×C4⋊C4—618no—
1407C2×C4⋊C4—618no—
1408C2×C4⋊C4—618no—
1409C2×C4⋊C4—618no—
1410C2×C4⋊C4C22×D6111yescharacteristic
1411C2×C4⋊C4C22×D6111yescharacteristic
1412C2×C4⋊C4C22×D6111yescharacteristic
1413C2×C4⋊C4C22×D6111yescharacteristic
1414C2×C4⋊C4C22×D6111yescharacteristic
1415C2×C4⋊C4C22×D6111yescharacteristic
1416C2×C4⋊C4C22×D6111yescharacteristic
1417C2×C4⋊C4C22×D6111yescharacteristic
1418C2×C4⋊C4C22×D6111yescharacteristic
1419C2×C4⋊C4C22×D6111yescharacteristic
1420C2×C4⋊C4C22×D6111yescharacteristic
1421C2×C4⋊C4C22×D6111yescharacteristic
1422C2×C4⋊C4C22×D6118yescomplemented
1423C2×C4⋊C4C22×D6118yescomplemented
1424C2×C4⋊C4C22×D6118yescomplemented
1425C2×C22⋊C4—611no—
1426C2×C22⋊C4—611no—
1427C2×C22⋊C4—611no—
1428C2×C22⋊C4—611no—
1429C2×C22⋊C4—618no—
1430C2×C22⋊C4—611no—
1431C2×C22⋊C4—611no—
1432C2×C22⋊C4—611no—
1433C2×C22⋊C4—611no—
1434C2×C22⋊C4—611no—
1435C2×C22⋊C4—611no—
1436C2×C22⋊C4—611no—
1437C2×C22⋊C4—611no—
1438C2×C22⋊C4—611no—
1439C2×C22⋊C4—611no—
1440C2×C22⋊C4—611no—
1441C2×C22⋊C4—611no—
1442C2×C22⋊C4—611no—
1443C2×C22⋊C4—611no—
1444C2×C22⋊C4—611no—
1445C2×C22⋊C4—611no—
1446C2×C22⋊C4—611no—
1447C2×C22⋊C4—611no—
1448C2×C22⋊C4—611no—
1449C2×C22⋊C4—611no—
1450C2×C22⋊C4—611no—
1451C2×C22⋊C4—611no—
1452C2×C22⋊C4—611no—
1453C2×C22⋊C4—611no—
1454C2×C22⋊C4—611no—
1455C2×C22⋊C4—611no—
1456C2×C22⋊C4—611no—
1457C2×C22⋊C4—611no—
1458C2×C22⋊C4—611no—
1459C2×C22⋊C4—611no—
1460C2×C22⋊C4—618no—
1461C2×C22⋊C4—618no—
1462C2×C22⋊C4—618no—
1463C2×C22⋊C4—618no—
1464C2×C22⋊C4C22×D6111yescharacteristic
1465C2×C22⋊C4C22×D6111yescharacteristic
1466C2×C22⋊C4C22×D6111yescharacteristic
1467C2×C22⋊C4C22×D6111yescharacteristic
1468C2×C22⋊C4C22×D6111yescharacteristic
1469C2×C22⋊C4C22×D6111yescharacteristic
1470C2×C22⋊C4C22×D6111yescharacteristic
1471C2×C22⋊C4C22×D6111yescharacteristic
1472C2×C22⋊C4C22×D6118yes—
1473C2×C22⋊C4C22×D6111yescharacteristic
1474C2×C22⋊C4C22×D6111yescharacteristic
1475C2×C22⋊C4C22×D6111yescharacteristic
1476C2×C22⋊C4C22×D6111yescharacteristic
1477C2×C22⋊C4C22×D6118yes—
1478C2×C22⋊C4C22×D6118yes—
1479C2×C42—611no—
1480C2×C42—611no—
1481C2×C42—611no—
1482C2×C42—611no—
1483C2×C42—611no—
1484C2×C42—611no—
1485C2×C42—611no—
1486C2×C42—611no—
1487C2×C42—611no—
1488C2×C42—611no—
1489C2×C42—611no—
1490C2×C42—611no—
1491C2×C42—611no—
1492C2×C42—611no—
1493C2×C42—618no—
1494C2×C42—618no—
1495C2×C42C22×D6111yescharacteristic
1496C2×C42C22×D6111yescharacteristic
1497C2×C42C22×D6111yescharacteristic
1498C2×C42C22×D6111yescharacteristic
1499C2×C42C22×D6118yescomplemented
1500C24—24no—
1501C24—42no—
1502C24—42no—
1503C24—611no—
1504C24—611no—
1505C24—611no—
1506C24—611no—
1507C24—614no—
1508C24—1224no—
1509C24—2442no—
1510C24—2442no—
1511C24C23×D6111yescharacteristic
1512C24C23×D6111yescharacteristic
1513C24C23×D6111yescharacteristic
1514C24C23×D6114yes—
1515#41—12232no—
1516#41—12232no—
1517C2×Q8—614no—
1518C2×Q8—614no—
1519C2×Q8—614no—
1520C2×Q8—614no—
1521C2×Q8—614no—
1522C2×Q8—1224no—
1523C2×Q8—1224no—
1524C2×Q8—2442no—
1525C2×Q8—2442no—
1526C2×Q8—2442no—
1527C2×D4—618no—
1528C2×D4—614no—
1529C2×D4—614no—
1530C2×D4—614no—
1531C2×D4—614no—
1532C2×D4—614no—
1533C2×D4—614no—
1534C2×D4—614no—
1535C2×D4—614no—
1536C2×D4—614no—
1537C2×D4—614no—
1538C2×D4—614no—
1539C2×D4—614no—
1540C2×D4—614no—
1541C2×D4—614no—
1542C2×D4—614no—
1543C2×D4—1224no—
1544C2×D4—1224no—
1545C2×D4—1224no—
1546C2×D4—12232no—
1547C2×D4—1224no—
1548C2×D4—1224no—
1549C2×D4—1224no—
1550C2×D4—1224no—
1551C2×D4—2442no—
1552C2×D4—2442no—
1553C2×D4—2442no—
1554C2×D4—2442no—
1555C2×D4—2442no—
1556C2×D4—2442no—
1557C2×D4—2442no—
1558C22×C4—24no—
1559C22×C4—24no—
1560C22×C4—42no—
1561C22×C4—42no—
1562C22×C4—42no—
1563C22×C4—42no—
1564C22×C4—611no—
1565C22×C4—614no—
1566C22×C4—611no—
1567C22×C4—611no—
1568C22×C4—611no—
1569C22×C4—611no—
1570C22×C4—611no—
1571C22×C4—611no—
1572C22×C4—611no—
1573C22×C4—611no—
1574C22×C4—611no—
1575C22×C4—611no—
1576C22×C4—611no—
1577C22×C4—614no—
1578C22×C4—614no—
1579C22×C4—614no—
1580C22×C4—614no—
1581C22×C4—614no—
1582C22×C4—614no—
1583C22×C4—614no—
1584C22×C4—614no—
1585C22×C4—614no—
1586C22×C4—614no—
1587C22×C4—614no—
1588C22×C4—614no—
1589C22×C4—614no—
1590C22×C4—614no—
1591C22×C4—614no—
1592C22×C4—614no—
1593C22×C4—1224no—
1594C22×C4—1224no—
1595C22×C4—1224no—
1596C22×C4—1224no—
1597C22×C4—1224no—
1598C22×C4—2442no—
1599C22×C4—2442no—
1600C22×C4—2442no—
1601C22×C4—2442no—
1602C22×C4—2442no—
1603C22×C4—2442no—
1604C22×C4—2442no—
1605C22×C4—2442no—
1606C22×C4—2442no—
1607C22×C4—2442no—
1608C22×C4—2442no—
1609C22×C4—2442no—
1610C22×C4C23×D6114yes—
1611C22×C4C23×D6114yes—
1612C22×C4C23×D6111yescharacteristic
1613C22×C4C23×D6111yescharacteristic
1614C22×C4C23×D6111yescharacteristic
1615C22×C4C23×D6111yescharacteristic
1616C22×C4C23×D6111yescharacteristic
1617C22×C4C23×D6111yescharacteristic
1618C22×C4C23×D6111yescharacteristic
1619C22×C4C23×D6111yescharacteristic
1620C22×C4C23×D6111yescharacteristic
1621C22×C4C23×D6111yescharacteristic
1622C22×C4C23×D6111yescharacteristic
1623C22×C4C23×D6111yescharacteristic
1624C22×C4C23×D6114yes—
1625C22×C4C23×D6114yes—
1626C22×C4C23×D6114yes—
1627C22×C4C23×D6114yes—
1628C4⋊C4—614no—
1629C4⋊C4—614no—
1630C4⋊C4—614no—
1631C4⋊C4—614no—
1632C4⋊C4—614no—
1633C4⋊C4—614no—
1634C4⋊C4—614no—
1635C4⋊C4—614no—
1636C4⋊C4—614no—
1637C4⋊C4—614no—
1638C4⋊C4—614no—
1639C4⋊C4—614no—
1640C4⋊C4—614no—
1641C4⋊C4—614no—
1642C4⋊C4—614no—
1643C4⋊C4—614no—
1644C4⋊C4—614no—
1645C4⋊C4—614no—
1646C4⋊C4—614no—
1647C4⋊C4—614no—
1648C4⋊C4—614no—
1649C4⋊C4—614no—
1650C4⋊C4—614no—
1651C4⋊C4—614no—
1652C4⋊C4—614no—
1653C4⋊C4—614no—
1654C4⋊C4—614no—
1655C4⋊C4—614no—
1656C4⋊C4—614no—
1657C4⋊C4—614no—
1658C4⋊C4—614no—
1659C4⋊C4—614no—
1660C4⋊C4—614no—
1661C4⋊C4—614no—
1662C4⋊C4C23×D6114yes—
1663C4⋊C4C23×D6114yes—
1664C4⋊C4C23×D6114yes—
1665C4⋊C4C23×D6114yes—
1666C4⋊C4C23×D6114yes—
1667C4⋊C4C23×D6114yes—
1668C4⋊C4C23×D6114yes—
1669C4⋊C4C23×D6114yes—
1670C4⋊C4C23×D6114yes—
1671C4⋊C4C23×D6114yes—
1672C4⋊C4C23×D6114yes—
1673C4⋊C4C23×D6114yes—
1674C22⋊C4—614no—
1675C22⋊C4—614no—
1676C22⋊C4—614no—
1677C22⋊C4—614no—
1678C22⋊C4—614no—
1679C22⋊C4—614no—
1680C22⋊C4—614no—
1681C22⋊C4—614no—
1682C22⋊C4—614no—
1683C22⋊C4—614no—
1684C22⋊C4—614no—
1685C22⋊C4—614no—
1686C22⋊C4—614no—
1687C22⋊C4—614no—
1688C22⋊C4—614no—
1689C22⋊C4—614no—
1690C22⋊C4—614no—
1691C22⋊C4—614no—
1692C22⋊C4—614no—
1693C22⋊C4—614no—
1694C22⋊C4—614no—
1695C22⋊C4—614no—
1696C22⋊C4—614no—
1697C22⋊C4—614no—
1698C22⋊C4—614no—
1699C22⋊C4—614no—
1700C22⋊C4—614no—
1701C22⋊C4—614no—
1702C22⋊C4—614no—
1703C22⋊C4—614no—
1704C22⋊C4—614no—
1705C22⋊C4—614no—
1706C22⋊C4—614no—
1707C22⋊C4—614no—
1708C22⋊C4C23×D6114yes—
1709C22⋊C4C23×D6114yes—
1710C22⋊C4C23×D6114yes—
1711C22⋊C4C23×D6114yes—
1712C22⋊C4C23×D6114yes—
1713C22⋊C4C23×D6114yes—
1714C22⋊C4C23×D6114yes—
1715C22⋊C4C23×D6114yes—
1716C22⋊C4C23×D6114yes—
1717C22⋊C4C23×D6114yes—
1718C22⋊C4C23×D6114yes—
1719C22⋊C4C23×D6114yes—
1720C42—614no—
1721C42—614no—
1722C42—614no—
1723C42—614no—
1724C42—614no—
1725C42—614no—
1726C42—614no—
1727C42—614no—
1728C42—614no—
1729C42—614no—
1730C42—614no—
1731C42—614no—
1732C42—614no—
1733C42—614no—
1734C42C23×D6114yes—
1735C42C23×D6114yes—
1736C42C23×D6114yes—
1737C42C23×D6114yes—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—28no—
1747C23—44no—
1748C23—44no—
1749C23—88no—
1750C23—614no—
1751C23—612no—
1752C23—612no—
1753C23—612no—
1754C23—612no—
1755C23—1228no—
1756C23—1222no—
1757C23—1222no—
1758C23—1222no—
1759C23—1222no—
1760C23—1222no—
1761C23—1222no—
1762C23—1222no—
1763C23—1222no—
1764C23—1222no—
1765C23—1222no—
1766C23—1222no—
1767C23—4888no—
1768C23—2444no—
1769C23—2444no—
1770C23#41×D6114yes—
1771C23C24×D6112yes—
1772C23C24×D6112yes—
1773C23C24×D6112yes—
1774C23C24×D6111yescharacteristic
1775Q8—1228no—
1776Q8—1228no—
1777Q8—2444no—
1778Q8—2444no—
1779Q8—2444no—
1780D4—6116no—
1781D4—1228no—
1782D4—1228no—
1783D4—1228no—
1784D4—1228no—
1785D4—1228no—
1786D4—1228no—
1787D4—1228no—
1788D4—2444no—
1789D4—2444no—
1790D4—2444no—
1791D4—2444no—
1792D4—2444no—
1793D4—2444no—
1794D4—2444no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—28no—
1800C2×C4—28no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—44no—
1810C2×C4—44no—
1811C2×C4—44no—
1812C2×C4—44no—
1813C2×C4—614no—
1814C2×C4—612no—
1815C2×C4—612no—
1816C2×C4—612no—
1817C2×C4—612no—
1818C2×C4—612no—
1819C2×C4—612no—
1820C2×C4—612no—
1821C2×C4—612no—
1822C2×C4—612no—
1823C2×C4—612no—
1824C2×C4—612no—
1825C2×C4—612no—
1826C2×C4—1228no—
1827C2×C4—1228no—
1828C2×C4—1228no—
1829C2×C4—1228no—
1830C2×C4—1228no—
1831C2×C4—1222no—
1832C2×C4—1222no—
1833C2×C4—1222no—
1834C2×C4—1222no—
1835C2×C4—1222no—
1836C2×C4—1222no—
1837C2×C4—1222no—
1838C2×C4—1222no—
1839C2×C4—1222no—
1840C2×C4—1222no—
1841C2×C4—1222no—
1842C2×C4—2444no—
1843C2×C4—2444no—
1844C2×C4—2444no—
1845C2×C4—2444no—
1846C2×C4—2444no—
1847C2×C4—2444no—
1848C2×C4—2444no—
1849C2×C4—2444no—
1850C2×C4—2444no—
1851C2×C4—2444no—
1852C2×C4—2444no—
1853C2×C4—2444no—
1854C2×C4C24×D6112yes—
1855C2×C4C24×D6112yes—
1856C2×C4C24×D6112yes—
1857C2×C4C24×D6112yes—
1858C2×C4C24×D6112yes—
1859C2×C4C24×D6112yes—
1860C2×C4C24×D6112yes—
1861C2×C4C24×D6112yes—
1862C2×C4C24×D6112yes—
1863C2×C4C24×D6112yes—
1864C2×C4C24×D6112yes—
1865C2×C4C24×D6112yes—
1866C22—22no—
1867C22—22no—
1868C22—28no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—44no—
1876C22—44no—
1877C22—88no—
1878C22—614no—
1879C22—1222no—
1880C22—1222no—
1881C22—1228no—
1882C22—1222no—
1883C22—1222no—
1884C22—1222no—
1885C22—1222no—
1886C22—1222no—
1887C22—1222no—
1888C22—1222no—
1889C22—1222no—
1890C22—1222no—
1891C22—4888no—
1892C22—2444no—
1893C22—2444no—
1894C22—2444no—
1895C22C2×#41×D6114yes—
1896C22C2×#41×D6112yes—
1897C22#1684059812yes—
1898C22#1684059812yes—
1899C22C25×D6111yescharacteristic
1900C4—22no—
1901C4—22no—
1902C4—22no—
1903C4—22no—
1904C4—22no—
1905C4—22no—
1906C4—22no—
1907C4—22no—
1908C4—22no—
1909C4—22no—
1910C4—22no—
1911C4—22no—
1912C4—614no—
1913C4—1222no—
1914C4—1222no—
1915C4—1222no—
1916C4—1222no—
1917C4—1222no—
1918C4—1222no—
1919C4—1222no—
1920C4—1222no—
1921C4—1222no—
1922C4—1222no—
1923C4—1222no—
1924C2—24no—
1925C2—42no—
1926C2—42no—
1927C2—1224no—
1928C2—2442no—
1929C2—2442no—
1930C2—2442no—
1931C2#2145987914yesdirect product factor
1932C2C22×#41×D6111yescharacteristic
1933C2C2×#1684059811yescharacteristic
1934C2C2×#1684059811yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC22×#126×C61C2
socleC23×C61C25
hypercenterC22×#126D61
hypocenterC61C2×#3521
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C22×#126

Complements

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

NH ≅ G/Ntype
1. #21459879C2direct (N × H)
2. C2×#16840479C2semidirect
3. C2×#16840479C2semidirect
4. C2×#16840467C2semidirect
5. C2×#16840463C2semidirect
6. C2×#16840463C2semidirect
7. C2×#16840460C2semidirect
8. C2×#16840448C2semidirect
9. C2×#16840448C2semidirect
10. C2×#16840447C2semidirect
11. C2×#16840438C2semidirect
12. C2×#16840438C2semidirect
13. C2×#16840437C2semidirect
14. C2×#16840437C2semidirect
15. C2×#16840413C2semidirect
16. C2×#16840402C2semidirect
17. C2×#16840402C2semidirect
18. C2×#16840378C2semidirect
19. C2×#16840369C2semidirect
20. C2×#16840359C2semidirect
21. C2×#16840353C2semidirect
22. C2×#16840351C2semidirect
23. C2×#16840350C2semidirect
24. C2×#16840296C2semidirect
25. C2×#16840295C2semidirect
26. C2×#16840295C2semidirect
27. C2×#16840295C2semidirect
28. C2×#126×D61C2semidirect
29. C2×#16840243C2semidirect
30. C2×#16840235C2semidirect
31. C2×C4×#11758222C2semidirect
32. C22×#126×C61C2semidirect
36. #16840479C22semidirect
37. #16840479C22semidirect
38. #16840467C22semidirect
39. #16840463C22semidirect
40. #16840463C22semidirect
41. #16840460C22semidirect
42. #16840448C22semidirect
43. #16840448C22semidirect
44. #16840447C22semidirect
45. #16840438C22semidirect
46. #16840438C22semidirect
47. #16840437C22semidirect
48. #16840437C22semidirect
49. #16840413C22semidirect
50. #16840402C22semidirect
51. #16840402C22semidirect
52. #16840378C22semidirect
53. #16840369C22semidirect
54. #16840359C22semidirect
55. #16840353C22semidirect
56. #16840351C22semidirect
57. #16840350C22semidirect
58. C2×#14519776C22semidirect
59. C2×#14519776C22semidirect
60. #16840296C22semidirect
61. #16840295C22semidirect
62. #16840295C22semidirect
63. #16840295C22semidirect
64. C2×#14519772C22semidirect
65. C2×#14519772C22semidirect
66. C2×#14519772C22semidirect
67. C2×#14519772C22semidirect
68. C2×#14519772C22semidirect
69. C2×#14519772C22semidirect
70. C2×#14519771C22semidirect
71. C2×#14519771C22semidirect
77. C2×#14519770C22semidirect
78. #126×D61C22semidirect
79. C2×#14519769C22semidirect
80. C2×#14519768C22semidirect
81. C2×#14519768C22semidirect
82. C2×#14519767C22semidirect
83. C2×#14519767C22semidirect
84. C2×#14519767C22semidirect
85. C2×#14519767C22semidirect
86. C2×#14519767C22semidirect
87. C2×#14519767C22semidirect
88. C2×#14519765C22semidirect
94. C2×#14519763C22semidirect
95. C2×#14519762C22semidirect
96. C2×#14519762C22semidirect
97. C2×#14519762C22semidirect
98. C2×#14519762C22semidirect
99. C2×#14519762C22semidirect
100. C2×#14519762C22semidirect
101. C2×#14519761C22semidirect
102. C2×#14519761C22semidirect
105. C2×#14519760C22semidirect
106. C2×#14519760C22semidirect
112. C2×#14519759C22semidirect
113. C2×#14519757C22semidirect
114. C2×#14519757C22semidirect
115. C2×#14519756C22semidirect
116. C2×#14519756C22semidirect
117. C2×#14519756C22semidirect
118. C2×#14519755C22semidirect
119. C2×#14519755C22semidirect
120. C2×#14519755C22semidirect
121. C2×#14519755C22semidirect
122. C2×#14519755C22semidirect
123. C2×#14519755C22semidirect
126. C2×#14519754C22semidirect
127. C2×#14519754C22semidirect
128. C2×#14519752C22semidirect
129. C2×#14519752C22semidirect
132. C2×#14519751C22semidirect
138. C2×#14519750C22semidirect
143. #16840243C22semidirect
144. #16840235C22semidirect
145. C4×#11758222C22semidirect
146. C2×C4×Dic122C22semidirect
147. C2×C4×Dic122C22semidirect
148. C2×C4×Dic122C22semidirect
149. C2×#14519742C22semidirect
150. C2×#14519742C22semidirect
151. C2×#14519742C22semidirect
152. C2×#14519742C22semidirect
153. C2×C4×D244C22semidirect
154. C2×C4×D244C22semidirect
155. C2×C4×D244C22semidirect
156. C2×#14519739C22semidirect
157. C2×#14519739C22semidirect
158. C2×#14519739C22semidirect
159. C2×#14519739C22semidirect
166. C2×C4×C22⋊D61C22semidirect
167. C2×C4×C22⋊D61C22semidirect
168. C2×C4×C22⋊D61C22semidirect
169. C2×C4×C22⋊D61C22semidirect
176. C2×#14519737C22semidirect
177. C2×#14519737C22semidirect
178. C2×#14519736C22semidirect
179. C2×#14519736C22semidirect
180. C2×#14519735C22semidirect
181. C2×#14519735C22semidirect
182. C2×#14519735C22semidirect
183. C2×#14519735C22semidirect
184. C2×#14519734C22semidirect
185. C2×#14519734C22semidirect
186. C2×#14519734C22semidirect
187. C2×#14519734C22semidirect
190. C2×#14519733C22semidirect
191. C2×#14519733C22semidirect
192. C2×C4⋊C4×D61C22semidirect
193. C2×C4⋊C4×D61C22semidirect
194. C2×C4⋊C4×D61C22semidirect
195. C2×C4⋊C4×D61C22semidirect
201. C2×C42×D61C22semidirect
202. C2×C42×D61C22semidirect
207. C2×#126×C61C22semidirect
208. C2×#126×C61C22semidirect
209. C2×#126×C61C22semidirect
210. C2×#126×C61C22semidirect
211. C2×#126×C61C22semidirect
212. C22×C4⋊C4×C61C22semidirect
213. C22×C4⋊C4×C61C22semidirect
214. C22×C4⋊C4×C61C22semidirect
218. C22×C42×C61C22semidirect
263. #14519776C23semidirect
264. #14519776C23semidirect
265. #14519772C23semidirect
266. #14519772C23semidirect
267. #14519772C23semidirect
268. #14519772C23semidirect
269. #14519772C23semidirect
270. #14519772C23semidirect
271. #14519771C23semidirect
272. #14519771C23semidirect
278. #14519770C23semidirect
279. #14519769C23semidirect
280. #14519768C23semidirect
281. #14519768C23semidirect
282. #14519767C23semidirect
283. #14519767C23semidirect
284. #14519767C23semidirect
285. #14519767C23semidirect
286. #14519767C23semidirect
287. #14519767C23semidirect
288. #14519765C23semidirect
294. #14519763C23semidirect
295. #14519762C23semidirect
296. #14519762C23semidirect
297. #14519762C23semidirect
298. #14519762C23semidirect
299. #14519762C23semidirect
300. #14519762C23semidirect
301. #14519761C23semidirect
302. #14519761C23semidirect
305. #14519760C23semidirect
306. #14519760C23semidirect
312. #14519759C23semidirect
313. #14519757C23semidirect
314. #14519757C23semidirect
315. #14519756C23semidirect
316. #14519756C23semidirect
317. #14519756C23semidirect
318. #14519755C23semidirect
319. #14519755C23semidirect
320. #14519755C23semidirect
321. #14519755C23semidirect
322. #14519755C23semidirect
323. #14519755C23semidirect
326. #14519754C23semidirect
327. #14519754C23semidirect
328. #14519752C23semidirect
329. #14519752C23semidirect
332. #14519751C23semidirect
338. #14519750C23semidirect
343. C4×Dic122C23semidirect
344. C4×Dic122C23semidirect
345. C4×Dic122C23semidirect
346. #14519742C23semidirect
347. #14519742C23semidirect
348. #14519742C23semidirect
349. #14519742C23semidirect
350. C4×D244C23semidirect
351. C4×D244C23semidirect
352. C4×D244C23semidirect
353. #14519739C23semidirect
354. #14519739C23semidirect
355. #14519739C23semidirect
356. #14519739C23semidirect
363. C4×C22⋊D61C23semidirect
364. C4×C22⋊D61C23semidirect
365. C4×C22⋊D61C23semidirect
366. C4×C22⋊D61C23semidirect
373. #14519737C23semidirect
374. #14519737C23semidirect
375. #14519736C23semidirect
376. #14519736C23semidirect
377. #14519735C23semidirect
378. #14519735C23semidirect
379. #14519735C23semidirect
380. #14519735C23semidirect
381. #14519734C23semidirect
382. #14519734C23semidirect
383. #14519734C23semidirect
384. #14519734C23semidirect
387. #14519733C23semidirect
388. #14519733C23semidirect
423. C4⋊C4×D61C23semidirect
424. C4⋊C4×D61C23semidirect
425. C4⋊C4×D61C23semidirect
426. C4⋊C4×D61C23semidirect
480. C42×D61C23semidirect
481. C42×D61C23semidirect
493. #126×C61C23semidirect
494. #126×C61C23semidirect
495. #126×C61C23semidirect
496. #126×C61C23semidirect
509. C2×C4⋊C4×C61C23semidirect
510. C2×C4⋊C4×C61C23semidirect
511. C2×C4⋊C4×C61C23semidirect
531. C2×C42×C61C23semidirect
985. C22×#126D61semidirect
992. C2×C61#3521semidirect
1050. C2×#126C2×D61semidirect
1051. C2×#126C2×D61semidirect
1052. C2×#126C2×D61semidirect
1053. C2×#126C2×D61semidirect
1054. C2×#126C2×D61semidirect
1172. C22×C4⋊C4C2×D61semidirect
1173. C22×C4⋊C4C2×D61semidirect
1174. C22×C4⋊C4C2×D61semidirect
1185. C22×C42C2×D61semidirect
1186. C61C2×#3521semidirect
1258. #126C22×D61semidirect
1259. #126C22×D61semidirect
1260. #126C22×D61semidirect
1261. #126C22×D61semidirect
1422. C2×C4⋊C4C22×D61semidirect
1423. C2×C4⋊C4C22×D61semidirect
1424. C2×C4⋊C4C22×D61semidirect
1499. C2×C42C22×D61semidirect
1931. C2#21459879direct (N × H)

Maximal subgroups

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

subgroupindex
#214598792
C2×#168404792
C2×#168404672
C2×#168404632
C2×#168404602
C2×#168404482
C2×#168404472
C2×#168404382
C2×#168404372
C2×#168404132
C2×#168404022
C2×#168403782
C2×#168403692
C2×#168403592
C2×#168403532
C2×#168403512
C2×#168403502
C2×#168402962
C2×#168402952
C2×#126×D612
C2×#168402432
C2×#168402352
C2×C4×#117582222
C22×#126×C612
C2×#352161