Finite Group Databasebeta

← C2×#21459878 #30588134

Subgroups — C2×#21459878 #30588134

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#21459878C2132yesmaximal, direct product factor
2C2×#16840479C211yesmaximal, characteristic, complemented
3C2×#16840479C211yesmaximal, characteristic, complemented
4C2×#16840467C211yesmaximal, characteristic, complemented
5C2×#16840457C211yesmaximal, characteristic, complemented
6C2×#16840455C211yesmaximal, characteristic, complemented
7C2×#16840452C211yesmaximal, characteristic, complemented
8C2×#16840445C211yesmaximal, characteristic, complemented
9C2×#16840444C211yesmaximal, characteristic, complemented
10C2×#16840441C211yesmaximal, characteristic, complemented
11C2×#16840441C211yesmaximal, characteristic, complemented
12C2×#16840441C211yesmaximal, characteristic, complemented
13C2×#16840435C211yesmaximal, characteristic, complemented
14C2×#16840412C211yesmaximal, characteristic, complemented
15C2×#16840401C211yesmaximal, characteristic, complemented
16C2×#16840401C211yesmaximal, characteristic, complemented
17C2×#16840380C211yesmaximal, characteristic, complemented
18C2×#16840371C211yesmaximal, characteristic, complemented
19C2×#16840357C211yesmaximal, characteristic, complemented
20C2×#16840353C211yesmaximal, characteristic, complemented
21C2×#16840349C211yesmaximal, characteristic, complemented
22C2×#16840344C211yesmaximal, characteristic, complemented
23C2×#16840293C211yesmaximal, characteristic, complemented
24C2×#16840292C211yesmaximal, characteristic, complemented
25C2×#16840290C211yesmaximal, characteristic, complemented
26C2×#16840289C211yesmaximal, characteristic, complemented
27C22×#14519772C211yesmaximal, characteristic, complemented
28C2×#126×D61C211yesmaximal, characteristic, complemented
29C2×#16840241C211yesmaximal, characteristic, complemented
30C2×#16840234C211yesmaximal, characteristic, complemented
31C2×C4×#11758224C211yesmaximal, characteristic, complemented
32C2×C61×#553C211yesmaximal, characteristic, complemented
33C22×#11758224C2211yescharacteristic
34C22×#11758224C2211yescharacteristic
35C22×D4×D61C2211yescharacteristic
36#16840479C22116yescomplemented
37#16840479C22116yescomplemented
38#16840467C22116yescomplemented
39#16840457C22116yescomplemented
40#16840455C22116yescomplemented
41#16840452C22116yescomplemented
42#16840445C22116yescomplemented
43#16840444C22116yescomplemented
44#16840441C22116yescomplemented
45#16840441C22116yescomplemented
46#16840441C22116yescomplemented
47#16840435C22116yescomplemented
48#16840412C22116yescomplemented
49#16840401C22116yescomplemented
50#16840401C22116yescomplemented
51#16840380C22116yescomplemented
52#16840371C22116yescomplemented
53#16840357C22116yescomplemented
54#16840353C22116yescomplemented
55#16840349C22116yescomplemented
56#16840344C22116yescomplemented
57C2×#14519776C2211yescharacteristic, complemented
58C2×#14519776C2211yescharacteristic, complemented
59#16840293C22116yescomplemented
60#16840292C22116yescomplemented
61#16840290C22116yescomplemented
62#16840289C22116yescomplemented
63C2×#14519772C2211yescharacteristic
64C2×#14519772C2211yescharacteristic
65C2×#14519772C2211yescharacteristic
66C2×#14519772C2211yescharacteristic
67C2×#14519772C2211yescharacteristic
68C2×#14519772C2211yescharacteristic
69C2×#14519772C2211yescharacteristic
70C2×#14519772C2211yescharacteristic, complemented
71C2×#14519772C2211yescharacteristic, complemented
72C2×#14519772C2211yescharacteristic, complemented
73C2×#14519772C2211yescharacteristic, complemented
74C2×#14519772C2211yescharacteristic, complemented
75C2×#14519772C22116yescomplemented
76C2×#14519771C2211yescharacteristic
77C2×#14519771C2211yescharacteristic
78C2×#14519770C2211yescharacteristic, complemented
79C2×#14519770C2211yescharacteristic, complemented
80C2×#14519770C2211yescharacteristic, complemented
81C2×#14519770C2211yescharacteristic, complemented
82C2×#14519770C2211yescharacteristic, complemented
83C2×#14519770C2211yescharacteristic, complemented
84#126×D61C22116yescomplemented
85C2×#14519769C2211yescharacteristic, complemented
86C2×#14519768C2211yescharacteristic, complemented
87C2×#14519767C2211yescharacteristic, complemented
88C2×#14519767C2211yescharacteristic, complemented
89C2×#14519767C2211yescharacteristic, complemented
90C2×#14519767C2211yescharacteristic, complemented
91C2×#14519767C2211yescharacteristic, complemented
92C2×#14519767C2211yescharacteristic, complemented
93C2×#14519764C2211yescharacteristic, complemented
94C2×#14519763C2211yescharacteristic
95C2×#14519763C2211yescharacteristic
96C2×#14519763C2211yescharacteristic
97C2×#14519763C2211yescharacteristic
98C2×#14519763C2211yescharacteristic
99C2×#14519763C2211yescharacteristic, complemented
100C2×#14519762C2211yescharacteristic
101C2×#14519762C2211yescharacteristic
102C2×#14519761C2211yescharacteristic
103C2×#14519761C2211yescharacteristic, complemented
104C2×#14519760C2211yescharacteristic
105C2×#14519760C2211yescharacteristic
106C2×#14519759C2211yescharacteristic, complemented
107C2×#14519759C2211yescharacteristic, complemented
108C2×#14519759C2211yescharacteristic, complemented
109C2×#14519759C2211yescharacteristic, complemented
110C2×#14519758C2211yescharacteristic
111C2×#14519758C2211yescharacteristic
112C2×#14519758C2211yescharacteristic, complemented
113C2×#14519758C2211yescharacteristic, complemented
114C2×#14519758C2211yescharacteristic, complemented
115C2×#14519758C2211yescharacteristic, complemented
116C2×#14519757C2211yescharacteristic, complemented
117C2×#14519756C2211yescharacteristic, complemented
118C2×#14519756C2211yescharacteristic, complemented
119C2×#14519756C2211yescharacteristic, complemented
120C2×#14519756C2211yescharacteristic, complemented
121C2×#14519755C2211yescharacteristic
122C2×#14519755C2211yescharacteristic
123C2×#14519755C2211yescharacteristic, complemented
124C2×#14519755C2211yescharacteristic, complemented
125C2×#14519755C2211yescharacteristic, complemented
126C2×#14519755C2211yescharacteristic, complemented
127C2×#14519754C2211yescharacteristic, complemented
128C2×#14519754C2211yescharacteristic, complemented
129C2×#14519754C2211yescharacteristic, complemented
130C2×#14519754C2211yescharacteristic, complemented
131C2×#14519750C2211yescharacteristic
132C2×#14519750C2211yescharacteristic
133C2×#14519749C2211yescharacteristic
134C2×#14519749C2211yescharacteristic
135C2×#14519749C2211yescharacteristic
136C2×#14519749C2211yescharacteristic, complemented
137C2×#14519748C2211yescharacteristic, complemented
138C2×#14519745C2211yescharacteristic
139C2×#14519745C2211yescharacteristic
140C2×#14519745C2211yescharacteristic
141C2×#14519745C2211yescharacteristic
142#16840241C22116yescomplemented
143#16840234C22116yescomplemented
144C4×#11758224C22116yescomplemented
145C2×C4×Dic122C2211yescharacteristic, complemented
146C2×C4×Dic122C2211yescharacteristic, complemented
147C2×C4×Dic122C2211yescharacteristic, complemented
148C2×#14519742C2211yescharacteristic, complemented
149C2×#14519742C2211yescharacteristic, complemented
150C2×#14519742C2211yescharacteristic, complemented
151C2×#14519742C2211yescharacteristic, complemented
152C2×C4×D244C2211yescharacteristic
153C2×D4×Dic61C2211yescharacteristic
154C2×D4×Dic61C2211yescharacteristic, complemented
155C2×D4×Dic61C2211yescharacteristic, complemented
156C2×D4×Dic61C2211yescharacteristic, complemented
157C2×D4×Dic61C2211yescharacteristic, complemented
158C2×#14519739C2211yescharacteristic
159C2×C4×C22⋊D61C2211yescharacteristic
160C2×C4×C22⋊D61C2211yescharacteristic
161C2×C4×C22⋊D61C2211yescharacteristic
162C2×C4×C22⋊D61C2211yescharacteristic
163C2×C4×C22⋊D61C2211yescharacteristic, complemented
164C2×C4×C22⋊D61C2211yescharacteristic, complemented
165C2×C4×C22⋊D61C2211yescharacteristic, complemented
166C2×C4×C22⋊D61C2211yescharacteristic, complemented
167C2×#14519737C2211yescharacteristic
168C2×#14519737C2211yescharacteristic
169C2×#14519737C2211yescharacteristic
170C2×#14519737C2211yescharacteristic
171C2×#14519737C2211yescharacteristic, complemented
172C2×#14519737C2211yescharacteristic, complemented
173C2×#14519736C2211yescharacteristic, complemented
174C2×#14519735C2211yescharacteristic
175C2×#14519735C2211yescharacteristic, complemented
176C2×#14519734C2211yescharacteristic
177C2×#14519734C2211yescharacteristic, complemented
178C2×#14519734C2211yescharacteristic, complemented
179C2×#14519734C2211yescharacteristic, complemented
180C2×#14519733C2211yescharacteristic, complemented
181C2×#14519733C2211yescharacteristic, complemented
182C2×#14519733C2211yescharacteristic, complemented
183C2×#14519733C2211yescharacteristic, complemented
184C2×#14519733C2211yescharacteristic, complemented
185C2×#14519733C2211yescharacteristic, complemented
186C22×C4⋊Dic61C2211yescharacteristic, complemented
187C22×#11758196C2211yescharacteristic, complemented
188C22×#11758196C2211yescharacteristic, complemented
189C2×C4⋊C4×D61C2211yescharacteristic, complemented
190C2×C4⋊C4×D61C2211yescharacteristic, complemented
191C2×C4⋊C4×D61C2211yescharacteristic, complemented
192C22×#11758198C2211yescharacteristic
193C22×#11758198C2211yescharacteristic
194C22×#11758198C2211yescharacteristic
195C22×#11758198C2211yescharacteristic
196C2×C22⋊C4×D61C2211yescharacteristic
197C2×C22⋊C4×D61C2211yescharacteristic
198C2×C22⋊C4×D61C2211yescharacteristic
199C2×C22⋊C4×D61C2211yescharacteristic
200C22×C4×Dic61C2211yescharacteristic, complemented
201C22×C4×Dic61C2211yescharacteristic, complemented
202C2×C42×D61C2211yescharacteristic, complemented
203C61×#553C22116yescomplemented
204C2×#126×C61C2211yescharacteristic, complemented
205C2×#126×C61C2211yescharacteristic, complemented
206C2×#125×C61C2211yescharacteristic, complemented
207C2×#123×C61C2211yescharacteristic, complemented
208C2×#123×C61C2211yescharacteristic, complemented
209C2×#121×C61C2211yescharacteristic
210C2×#121×C61C2211yescharacteristic
211C2×#121×C61C2211yescharacteristic, complemented
212C2×#121×C61C2211yescharacteristic, complemented
213C2×C4×D4×C61C2211yescharacteristic
214C2×C4×D4×C61C2211yescharacteristic, complemented
215C2×C4×D4×C61C2211yescharacteristic, complemented
216C2×C4×D4×C61C2211yescharacteristic, complemented
217C2×#117×C61C2211yescharacteristic, complemented
218C22×C4⋊C4×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C24×D61C2311yescharacteristic
221C2×#11758224—28no—
222C2×#11758224—28no—
223C2×#11758224C2318yes—
224C2×#11758224C2318yes—
225C22×Dic122C2311yescharacteristic
226C22×Dic122C2311yescharacteristic
227C22×Dic122C2311yescharacteristic
228C22×Dic122C2311yescharacteristic
229C22×Dic122C2311yescharacteristic
230C22×D244C2311yescharacteristic
231C22×C22⋊D61C2311yescharacteristic
232C22×C22⋊D61C2311yescharacteristic
233C22×C22⋊D61C2311yescharacteristic
234C22×C22⋊D61C2311yescharacteristic
235C22×C22⋊D61C2311yescharacteristic
236C22×C22⋊D61C2311yescharacteristic
237C22×C22⋊D61C2311yescharacteristic
238C22×C22⋊D61C2311yescharacteristic
239C2×D4×D61—28no—
240C2×D4×D61C2318yes—
241C23×Dic61C2311yescharacteristic
242C23×Dic61C2311yescharacteristic
243C23×Dic61C2311yescharacteristic
244C23×Dic61C2311yescharacteristic
245C23×Dic61C2311yescharacteristic
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
258#14519776C2318yescomplemented
259#14519776C2318yescomplemented
260#14519772C2318yes—
261#14519772C2318yes—
262#14519772C2318yes—
263#14519772C2318yes—
264#14519772C2318yes—
265#14519772C2318yes—
266#14519772C2318yes—
267#14519772C2318yescomplemented
268#14519772C2318yescomplemented
269#14519772C2318yescomplemented
270#14519772C2318yescomplemented
271#14519772C2318yescomplemented
272#14519771C2318yes—
273#14519771C2318yes—
274#14519770C2318yescomplemented
275#14519770C2318yescomplemented
276#14519770C2318yescomplemented
277#14519770C2318yescomplemented
278#14519770C2318yescomplemented
279#14519770C2318yescomplemented
280#14519769C2318yescomplemented
281#14519768C2318yescomplemented
282#14519767C2318yescomplemented
283#14519767C2318yescomplemented
284#14519767C2318yescomplemented
285#14519767C2318yescomplemented
286#14519767C2318yescomplemented
287#14519767C2318yescomplemented
288#14519764C2318yescomplemented
289#14519763C2318yes—
290#14519763C2318yes—
291#14519763C2318yes—
292#14519763C2318yes—
293#14519763C2318yes—
294#14519763C2318yescomplemented
295#14519762C2318yes—
296#14519762C2318yes—
297#14519761C2318yes—
298#14519761C2318yescomplemented
299#14519760C2318yes—
300#14519760C2318yes—
301#14519759C2318yescomplemented
302#14519759C2318yescomplemented
303#14519759C2318yescomplemented
304#14519759C2318yescomplemented
305#14519758C2318yes—
306#14519758C2318yes—
307#14519758C2318yescomplemented
308#14519758C2318yescomplemented
309#14519758C2318yescomplemented
310#14519758C2318yescomplemented
311#14519757C2318yescomplemented
312#14519756C2318yescomplemented
313#14519756C2318yescomplemented
314#14519756C2318yescomplemented
315#14519756C2318yescomplemented
316#14519755C2318yes—
317#14519755C2318yes—
318#14519755C2318yescomplemented
319#14519755C2318yescomplemented
320#14519755C2318yescomplemented
321#14519755C2318yescomplemented
322#14519754C2318yescomplemented
323#14519754C2318yescomplemented
324#14519754C2318yescomplemented
325#14519754C2318yescomplemented
326#14519750C2318yes—
327#14519750C2318yes—
328#14519749C2318yes—
329#14519749C2318yes—
330#14519749C2318yes—
331#14519749C2318yescomplemented
332#14519748C2318yescomplemented
333#14519745C2318yes—
334#14519745C2318yes—
335#14519745C2318yes—
336#14519745C2318yes—
337C4×Dic122C2318yescomplemented
338C4×Dic122C2318yescomplemented
339C4×Dic122C2318yescomplemented
340#14519742C2318yescomplemented
341#14519742C2318yescomplemented
342#14519742C2318yescomplemented
343#14519742C2318yescomplemented
344C4×D244C2318yes—
345D4×Dic61C2318yes—
346D4×Dic61C2318yescomplemented
347D4×Dic61C2318yescomplemented
348D4×Dic61C2318yescomplemented
349D4×Dic61C2318yescomplemented
350#14519739C2318yes—
351C4×C22⋊D61C2318yes—
352C4×C22⋊D61C2318yes—
353C4×C22⋊D61C2318yes—
354C4×C22⋊D61C2318yes—
355C4×C22⋊D61C2318yescomplemented
356C4×C22⋊D61C2318yescomplemented
357C4×C22⋊D61C2318yescomplemented
358C4×C22⋊D61C2318yescomplemented
359#14519737C2318yes—
360#14519737C2318yes—
361#14519737C2318yes—
362#14519737C2318yes—
363#14519737C2318yescomplemented
364#14519737C2318yescomplemented
365#14519736C2318yescomplemented
366#14519735C2318yes—
367#14519735C2318yescomplemented
368#14519734C2318yes—
369#14519734C2318yescomplemented
370#14519734C2318yescomplemented
371#14519734C2318yescomplemented
372#14519733C2318yescomplemented
373#14519733C2318yescomplemented
374#14519733C2318yescomplemented
375#14519733C2318yescomplemented
376#14519733C2318yescomplemented
377#14519733C2318yescomplemented
378C2×C4⋊Dic61C2311yescharacteristic
379C2×C4⋊Dic61C2311yescharacteristic
380C2×C4⋊Dic61C2311yescharacteristic
381C2×C4⋊Dic61C2311yescharacteristic
382C2×C4⋊Dic61C2311yescharacteristic
383C2×C4⋊Dic61C2311yescharacteristic
384C2×C4⋊Dic61C2311yescharacteristic
385C2×C4⋊Dic61C2311yescharacteristic
386C2×C4⋊Dic61C2311yescharacteristic
387C2×C4⋊Dic61C2311yescharacteristic
388C2×C4⋊Dic61C2318yescomplemented
389C2×#11758196C2311yescharacteristic
390C2×#11758196C2311yescharacteristic
391C2×#11758196C2311yescharacteristic
392C2×#11758196C2311yescharacteristic
393C2×#11758196C2311yescharacteristic
394C2×#11758196C2311yescharacteristic
395C2×#11758196C2311yescharacteristic
396C2×#11758196C2311yescharacteristic
397C2×#11758196C2311yescharacteristic
398C2×#11758196C2311yescharacteristic
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×#11758196C2318yescomplemented
416C2×#11758196C2318yescomplemented
417C4⋊C4×D61C2318yescomplemented
418C4⋊C4×D61C2318yescomplemented
419C4⋊C4×D61C2318yescomplemented
420C2×C22⋊Dic61C2311yescharacteristic
421C2×C22⋊Dic61C2311yescharacteristic
422C2×C22⋊Dic61C2311yescharacteristic
423C2×C22⋊Dic61C2311yescharacteristic
424C2×C22⋊Dic61C2311yescharacteristic
425C2×C22⋊Dic61C2311yescharacteristic
426C2×C22⋊Dic61C2311yescharacteristic
427C2×C22⋊Dic61C2311yescharacteristic
428C2×C22⋊Dic61C2311yescharacteristic
429C2×C22⋊Dic61C2311yescharacteristic
430C2×C22⋊Dic61C2311yescharacteristic
431C2×C22⋊Dic61C2311yescharacteristic
432C2×C22⋊Dic61C2311yescharacteristic
433C2×C22⋊Dic61C2311yescharacteristic
434C2×#11758198C2311yescharacteristic
435C2×#11758198C2311yescharacteristic
436C2×#11758198C2311yescharacteristic
437C2×#11758198C2311yescharacteristic
438C2×#11758198C2311yescharacteristic
439C2×#11758198C2311yescharacteristic
440C2×#11758198C2311yescharacteristic
441C2×#11758198C2311yescharacteristic
442C2×#11758198C2311yescharacteristic
443C2×#11758198C2311yescharacteristic
444C2×#11758198C2311yescharacteristic
445C2×#11758198C2311yescharacteristic
446C2×#11758198C2311yescharacteristic
447C2×#11758198C2311yescharacteristic
448C2×#11758198C2318yes—
449C2×#11758198C2318yes—
450C2×#11758198C2311yescharacteristic
451C2×#11758198C2311yescharacteristic
452C2×#11758198C2311yescharacteristic
453C2×#11758198C2311yescharacteristic
454C2×#11758198C2318yes—
455C2×#11758198C2318yes—
456C2×#11758198C2311yescharacteristic
457C2×#11758198C2311yescharacteristic
458C2×#11758198C2311yescharacteristic
459C2×#11758198C2311yescharacteristic
460C22⋊C4×D61C2318yes—
461C22⋊C4×D61C2318yes—
462C22⋊C4×D61C2318yes—
463C22⋊C4×D61C2318yes—
464C2×C4×Dic61C2311yescharacteristic
465C2×C4×Dic61C2311yescharacteristic
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×Dic61C2318yescomplemented
480C2×C4×Dic61C2318yescomplemented
481C42×D61C2318yescomplemented
482C22×D4×C61C2311yescharacteristic
483C22×D4×C61C2311yescharacteristic
484C22×D4×C61C2311yescharacteristic
485C22×D4×C61C2311yescharacteristic
486C22×D4×C61C2311yescharacteristic
487C22×D4×C61C2311yescharacteristic
488C23×C4×C61C2311yescharacteristic
489C23×C4×C61C2311yescharacteristic
490C23×C4×C61C2311yescharacteristic
491C23×C4×C61C2311yescharacteristic
492C23×C4×C61C2311yescharacteristic
493C23×C4×C61C2311yescharacteristic
494#126×C61C2318yescomplemented
495#126×C61C2318yescomplemented
496#125×C61C2318yescomplemented
497#123×C61C2318yescomplemented
498#123×C61C2318yescomplemented
499#121×C61C2318yes—
500#121×C61C2318yes—
501#121×C61C2318yescomplemented
502#121×C61C2318yescomplemented
503C4×D4×C61C2318yes—
504C4×D4×C61C2318yescomplemented
505C4×D4×C61C2318yescomplemented
506C4×D4×C61C2318yescomplemented
507#117×C61C2318yescomplemented
508C2×C4⋊C4×C61C2311yescharacteristic
509C2×C4⋊C4×C61C2311yescharacteristic
510C2×C4⋊C4×C61C2311yescharacteristic
511C2×C4⋊C4×C61C2311yescharacteristic
512C2×C4⋊C4×C61C2311yescharacteristic
513C2×C4⋊C4×C61C2311yescharacteristic
514C2×C4⋊C4×C61C2311yescharacteristic
515C2×C4⋊C4×C61C2311yescharacteristic
516C2×C4⋊C4×C61C2311yescharacteristic
517C2×C4⋊C4×C61C2311yescharacteristic
518C2×C4⋊C4×C61C2318yescomplemented
519C2×C22⋊C4×C61C2311yescharacteristic
520C2×C22⋊C4×C61C2311yescharacteristic
521C2×C22⋊C4×C61C2311yescharacteristic
522C2×C22⋊C4×C61C2311yescharacteristic
523C2×C22⋊C4×C61C2311yescharacteristic
524C2×C22⋊C4×C61C2311yescharacteristic
525C2×C22⋊C4×C61C2311yescharacteristic
526C2×C22⋊C4×C61C2311yescharacteristic
527C2×C22⋊C4×C61C2311yescharacteristic
528C2×C22⋊C4×C61C2311yescharacteristic
529C2×C42×C61C2311yescharacteristic
530C2×C42×C61C2311yescharacteristic
531C2×C42×C61C2311yescharacteristic
532C24×C61C2411yescharacteristic
533C24×C61C2411yescharacteristic
534C24×C61C2411yescharacteristic
535C24×C61C2411yescharacteristic
536C23×D61—24no—
537C23×D61—24no—
538C23×D61—42no—
539C23×D61—42no—
540C23×D61—42no—
541C23×D61—42no—
542C23×D61C2411yescharacteristic
543C23×D61C2411yescharacteristic
544C23×D61C2411yescharacteristic
545C23×D61C2414yes—
546C23×D61C2414yes—
547C2×D4×C61—24no—
548C2×D4×C61—24no—
549C2×D4×C61—24no—
550C2×D4×C61—42no—
551C2×D4×C61—42no—
552C2×D4×C61—42no—
553C2×D4×C61C2414yes—
554C2×D4×C61C2414yes—
555C2×D4×C61C2414yes—
556C2×D4×C61C2414yes—
557C2×D4×C61C2414yes—
558C2×D4×C61C2414yes—
559C22×C4×C61—42no—
560C22×C4×C61—42no—
561C22×C4×C61—42no—
562C22×C4×C61—42no—
563C22×C4×C61—42no—
564C22×C4×C61—42no—
565C22×C4×C61C2411yescharacteristic
566C22×C4×C61C2411yescharacteristic
567C22×C4×C61C2411yescharacteristic
568C22×C4×C61C2411yescharacteristic
569C22×C4×C61C2411yescharacteristic
570C22×C4×C61C2411yescharacteristic
571C22×C4×C61C2411yescharacteristic
572C22×C4×C61C2411yescharacteristic
573C22×C4×C61C2411yescharacteristic
574C22×C4×C61C2411yescharacteristic
575C22×C4×C61C2411yescharacteristic
576C22×C4×C61C2414yes—
577C22×C4×C61C2414yes—
578C22×C4×C61C2414yes—
579C22×C4×C61C2414yes—
580C22×C4×C61C2414yes—
581C22×C4×C61C2414yes—
582C2×C22⋊D61—24no—
583C2×C22⋊D61—24no—
584C2×C22⋊D61—24no—
585C2×C22⋊D61—42no—
586C2×C22⋊D61—42no—
587C2×C22⋊D61—42no—
588C2×C22⋊D61—42no—
589C2×C22⋊D61#4118yes—
590C2×C22⋊D61C2414yes—
591C2×C22⋊D61C2414yes—
592C2×C22⋊D61C2414yes—
593C2×C22⋊D61C2414yes—
594C2×C22⋊D61C2414yes—
595C2×C22⋊D61C2414yes—
596C2×C22⋊D61C2414yes—
597C2×C22⋊D61C2414yes—
598C22×Dic61—24no—
599C22×Dic61—24no—
600C22×Dic61—24no—
601C22×Dic61—24no—
602C22×Dic61—42no—
603C22×Dic61—42no—
604C22×Dic61—42no—
605C22×Dic61—42no—
606C22×Dic61C2411yescharacteristic
607C22×Dic61C2411yescharacteristic
608C22×Dic61C2411yescharacteristic
609C22×Dic61C2411yescharacteristic
610C22×Dic61C2411yescharacteristic
611C22×Dic61C2411yescharacteristic
612C22×Dic61C2411yescharacteristic
613C22×Dic61C2411yescharacteristic
614C22×Dic61C2411yescharacteristic
615C22×Dic61C2411yescharacteristic
616C22×Dic61C2411yescharacteristic
617C22×Dic61C2414yes—
618C22×Dic61C2414yes—
619C22×Dic61C2414yes—
620C22×Dic61C2414yes—
621C22×Dic61C2411yescharacteristic
622C22×Dic61C2414yes—
623C22×Dic61C2414yes—
624C22×Dic61C2414yes—
625C22×Dic61C2414yes—
626C22×Dic61C2411yescharacteristic
627#11758224—232no—
628#11758224—232no—
629D4×D61—232no—
630C2×D244—24no—
631C2×D244C2414yes—
632C2×C4×D61—24no—
633C2×C4×D61—24no—
634C2×C4×D61—24no—
635C2×C4×D61—42no—
636C2×C4×D61—42no—
637C2×C4×D61—42no—
638C2×C4×D61—42no—
639C2×C4×D61—42no—
640C2×C4×D61—42no—
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—
670C22⋊C4×C61C2414yes—
671C22⋊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—
680C42×C61C2414yes—
681C42×C61C2414yes—
682C42×C61C2414yes—
683C22⋊Dic61C2414yes—
684C22⋊Dic61C2414yes—
685C22⋊Dic61C2414yes—
686C22⋊Dic61C2414yes—
687C22⋊Dic61C2414yes—
688C22⋊Dic61C2414yes—
689C22⋊Dic61C2414yes—
690C22⋊Dic61C2414yes—
691C22⋊Dic61C2414yes—
692C22⋊Dic61C2414yes—
693C22⋊Dic61C2414yes—
694C22⋊Dic61C2414yes—
695C22⋊Dic61C2414yes—
696C22⋊Dic61C2414yes—
697#11758198C2414yes—
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—
719C4⋊Dic61C2414yes—
720C4⋊Dic61C2414yes—
721C4⋊Dic61C2414yes—
722C4⋊Dic61C2414yes—
723C4⋊Dic61C2414yes—
724C4⋊Dic61C2414yes—
725C4⋊Dic61C2414yes—
726C4⋊Dic61C2414yes—
727C4⋊Dic61C2414yes—
728C4⋊Dic61C2414yes—
729#11758196C2414yes—
730#11758196C2414yes—
731#11758196C2414yes—
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—
755C4×Dic61C2414yes—
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—22no—
779C23×C61—22no—
780C23×C61—22no—
781C23×C61C2×#4114yes—
782C23×C61C2512yes—
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—28no—
796C22×D61—28no—
797C22×D61—44no—
798C22×D61—44no—
799C22×D61—44no—
800C22×D61—44no—
801C22×D61—88no—
802C22×D61—88no—
803C22×D61C2×#4114yes—
804C22×D61C2512yes—
805C22×D61C2512yes—
806C22×D61C2512yes—
807D4×C61—28no—
808D4×C61—28no—
809D4×C61—28no—
810D4×C61—44no—
811D4×C61—44no—
812D4×C61—44no—
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—22no—
822C2×C4×C61—22no—
823C2×C4×C61—22no—
824C2×C4×C61—44no—
825C2×C4×C61—44no—
826C2×C4×C61—44no—
827C2×C4×C61—44no—
828C2×C4×C61—44no—
829C2×C4×C61—44no—
830C2×C4×C61C2512yes—
831C2×C4×C61C2512yes—
832C2×C4×C61C2512yes—
833C2×C4×C61C2512yes—
834C2×C4×C61C2512yes—
835C2×C4×C61C2512yes—
836C2×C4×C61C2512yes—
837C2×C4×C61C2512yes—
838C2×C4×C61C2512yes—
839C2×C4×C61C2512yes—
840C2×C4×C61C2512yes—
841C22⋊D61—28no—
842C22⋊D61—28no—
843C22⋊D61—28no—
844C22⋊D61—44no—
845C22⋊D61—44no—
846C22⋊D61—44no—
847C22⋊D61—44no—
848C22⋊D61C2×#41116yes—
849C2×Dic61—22no—
850C2×Dic61—22no—
851C2×Dic61—22no—
852C2×Dic61—22no—
853C2×Dic61—28no—
854C2×Dic61—28no—
855C2×Dic61—22no—
856C2×Dic61—22no—
857C2×Dic61—22no—
858C2×Dic61—22no—
859C2×Dic61—22no—
860C2×Dic61—22no—
861C2×Dic61—22no—
862C2×Dic61—22no—
863C2×Dic61—28no—
864C2×Dic61—28no—
865C2×Dic61—44no—
866C2×Dic61—44no—
867C2×Dic61—44no—
868C2×Dic61—44no—
869C2×Dic61C2×#4114yes—
870C2×Dic61C2512yes—
871C2×Dic61C2512yes—
872C2×Dic61C2512yes—
873C2×Dic61C2512yes—
874C2×Dic61C2512yes—
875C2×Dic61C2512yes—
876C2×Dic61C2512yes—
877C2×Dic61C2512yes—
878C2×Dic61C2512yes—
879C2×Dic61C2512yes—
880C2×Dic61C2512yes—
881C2×Dic61C2512yes—
882C2×Dic61C2512yes—
883D244—28no—
884C4×D61—28no—
885C4×D61—28no—
886C4×D61—28no—
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—22no—
909C22×C61—22no—
910C22×C61—22no—
911C22×C61—44no—
912C22×C61—44no—
913C22×C61—44no—
914C22×C61C22×#4114yes—
915C22×C61C22×#4112yes—
916C22×C61#58512yes—
917C22×C61#58512yes—
918C22×C61C2611yescharacteristic
919C2×D61—22no—
920C2×D61—22no—
921C2×D61—28no—
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—88no—
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—
944Dic61—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×#553D6111yescharacteristic, complemented
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×#126—611no—
986C2×#520—611no—
987C2×#518—611no—
988C2×C4×#41—611no—
989C2×C61—24no—
990C2×C61—42no—
991C2×C61—42no—
992C2×C61—42no—
993C2×C61#352114yescomplemented
994C2×C61C23×#4111yescharacteristic
995C2×C61C2×#58511yescharacteristic
996C2×C61C2×#58511yescharacteristic
997D61—24no—
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#553C2×D61116yescomplemented
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—6116no—
1045C2×#126—611no—
1046C2×#126—611no—
1047C2×#126—611no—
1048C2×#126—611no—
1049C2×#126—611no—
1050C2×#126—611no—
1051C2×#126—611no—
1052C2×#126—611no—
1053C2×#126C2×D6111yescharacteristic, complemented
1054C2×#126C2×D6111yescharacteristic, complemented
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×#125C2×D6111yescharacteristic, complemented
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×#123C2×D6111yescharacteristic, complemented
1088C2×#123C2×D6111yescharacteristic, complemented
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×#121C2×D6111yescharacteristic
1112C2×#121C2×D6111yescharacteristic
1113C2×#121C2×D6111yescharacteristic, complemented
1114C2×#121C2×D6111yescharacteristic, complemented
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×D4C2×D6111yescharacteristic
1151C2×C4×D4C2×D6111yescharacteristic, complemented
1152C2×C4×D4C2×D6111yescharacteristic, complemented
1153C2×C4×D4C2×D6111yescharacteristic, complemented
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×#117C2×D6111yescharacteristic, complemented
1168C22×C4⋊C4—611no—
1169C22×C4⋊C4—611no—
1170C22×C4⋊C4—611no—
1171C22×C4⋊C4—611no—
1172C22×C4⋊C4—611no—
1173C22×C4⋊C4—611no—
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⋊C4—611no—
1181C22×C22⋊C4—611no—
1182C22×C22⋊C4—611no—
1183C22×C42—611no—
1184C22×C42—611no—
1185C22×C42—611no—
1186C61C2×#352111yescharacteristic, complemented, Sylow
1187C25—611no—
1188C25—611no—
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—611no—
1205C22×D4—611no—
1206C22×D4—618no—
1207C22×D4—611no—
1208C22×D4—1228no—
1209C22×D4C22×D6111yescharacteristic
1210C22×D4C22×D6111yescharacteristic
1211C22×D4C22×D6111yescharacteristic
1212C22×D4C22×D6111yescharacteristic
1213C22×D4C22×D6111yescharacteristic
1214C22×D4C22×D6111yescharacteristic
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#126—618no—
1255#126—618no—
1256#126—618no—
1257#126—618no—
1258#126—618no—
1259#126—618no—
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#125C22×D6118yescomplemented
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#123C22×D6118yescomplemented
1295#123C22×D6118yescomplemented
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#121C22×D6118yes—
1319#121C22×D6118yes—
1320#121C22×D6118yescomplemented
1321#121C22×D6118yescomplemented
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×D4C22×D6118yes—
1355C4×D4C22×D6118yescomplemented
1356C4×D4C22×D6118yescomplemented
1357C4×D4C22×D6118yescomplemented
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#117C22×D6118yescomplemented
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—618no—
1385C2×C4⋊C4—618no—
1386C2×C4⋊C4—611no—
1387C2×C4⋊C4—611no—
1388C2×C4⋊C4—611no—
1389C2×C4⋊C4—611no—
1390C2×C4⋊C4—611no—
1391C2×C4⋊C4—618no—
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—611no—
1407C2×C4⋊C4—611no—
1408C2×C4⋊C4—611no—
1409C2×C4⋊C4—611no—
1410C2×C4⋊C4—611no—
1411C2×C4⋊C4—618no—
1412C2×C4⋊C4—618no—
1413C2×C4⋊C4—618no—
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×D6111yescharacteristic
1423C2×C4⋊C4C22×D6111yescharacteristic
1424C2×C4⋊C4C22×D6118yescomplemented
1425C2×C22⋊C4—611no—
1426C2×C22⋊C4—611no—
1427C2×C22⋊C4—611no—
1428C2×C22⋊C4—611no—
1429C2×C22⋊C4—611no—
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—618no—
1452C2×C22⋊C4—618no—
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—618no—
1460C2×C22⋊C4—618no—
1461C2×C22⋊C4—611no—
1462C2×C22⋊C4—611no—
1463C2×C22⋊C4—611no—
1464C2×C22⋊C4—611no—
1465C2×C22⋊C4—618no—
1466C2×C22⋊C4—618no—
1467C2×C22⋊C4—618no—
1468C2×C22⋊C4—618no—
1469C2×C22⋊C4C22×D6111yescharacteristic
1470C2×C22⋊C4C22×D6111yescharacteristic
1471C2×C22⋊C4C22×D6111yescharacteristic
1472C2×C22⋊C4C22×D6111yescharacteristic
1473C2×C22⋊C4C22×D6111yescharacteristic
1474C2×C22⋊C4C22×D6111yescharacteristic
1475C2×C22⋊C4C22×D6111yescharacteristic
1476C2×C22⋊C4C22×D6111yescharacteristic
1477C2×C22⋊C4C22×D6111yescharacteristic
1478C2×C22⋊C4C22×D6111yescharacteristic
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×C42—611no—
1496C2×C42—618no—
1497C2×C42C22×D6111yescharacteristic
1498C2×C42C22×D6111yescharacteristic
1499C2×C42C22×D6111yescharacteristic
1500C24—611no—
1501C24—611no—
1502C24—611no—
1503C24—614no—
1504C24—614no—
1505C24—1224no—
1506C24—1224no—
1507C24—2442no—
1508C24—2442no—
1509C24—2442no—
1510C24—2442no—
1511C24C23×D6111yescharacteristic
1512C24C23×D6111yescharacteristic
1513C24C23×D6111yescharacteristic
1514C24C23×D6111yescharacteristic
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—24no—
1528C2×D4—24no—
1529C2×D4—24no—
1530C2×D4—42no—
1531C2×D4—42no—
1532C2×D4—42no—
1533C2×D4—618no—
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—12232no—
1546C2×D4—1224no—
1547C2×D4—1224no—
1548C2×D4—2442no—
1549C2×D4—2442no—
1550C2×D4—2442no—
1551C2×D4—2442no—
1552C2×D4C23×D6114yes—
1553C2×D4C23×D6114yes—
1554C2×D4C23×D6114yes—
1555C2×D4C23×D6114yes—
1556C2×D4C23×D6114yes—
1557C2×D4C23×D6114yes—
1558C22×C4—42no—
1559C22×C4—42no—
1560C22×C4—42no—
1561C22×C4—42no—
1562C22×C4—42no—
1563C22×C4—42no—
1564C22×C4—611no—
1565C22×C4—614no—
1566C22×C4—614no—
1567C22×C4—614no—
1568C22×C4—614no—
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—611no—
1578C22×C4—611no—
1579C22×C4—611no—
1580C22×C4—611no—
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—614no—
1594C22×C4—1224no—
1595C22×C4—1224no—
1596C22×C4—1224no—
1597C22×C4—1224no—
1598C22×C4—1224no—
1599C22×C4—1224no—
1600C22×C4—1224no—
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×C4—2442no—
1611C22×C4C23×D6111yescharacteristic
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×D6114yes—
1623C22×C4C23×D6114yes—
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⋊C4—614no—
1663C4⋊C4—614no—
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⋊C4—614no—
1709C22⋊C4—614no—
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—
1734C42—614no—
1735C42C23×D6114yes—
1736C42C23×D6114yes—
1737C42C23×D6114yes—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—22no—
1747C23—22no—
1748C23—22no—
1749C23—614no—
1750C23—612no—
1751C23—612no—
1752C23—612no—
1753C23—1228no—
1754C23—1222no—
1755C23—1222no—
1756C23—1228no—
1757C23—1222no—
1758C23—1222no—
1759C23—1222no—
1760C23—1222no—
1761C23—1222no—
1762C23—1222no—
1763C23—4888no—
1764C23—4888no—
1765C23—2444no—
1766C23—2444no—
1767C23—2444no—
1768C23—2444no—
1769C23#41×D6114yes—
1770C23C24×D6112yes—
1771C23C24×D6112yes—
1772C23C24×D6112yes—
1773C23C24×D6112yes—
1774C23C24×D6111yescharacteristic
1775Q8—1228no—
1776Q8—1228no—
1777Q8—2444no—
1778Q8—2444no—
1779Q8—2444no—
1780D4—28no—
1781D4—28no—
1782D4—28no—
1783D4—44no—
1784D4—44no—
1785D4—44no—
1786D4—6116no—
1787D4—1228no—
1788D4—1228no—
1789D4—1228no—
1790D4—1228no—
1791D4—2444no—
1792D4—2444no—
1793D4—2444no—
1794D4—2444no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—44no—
1807C2×C4—44no—
1808C2×C4—44no—
1809C2×C4—44no—
1810C2×C4—44no—
1811C2×C4—44no—
1812C2×C4—614no—
1813C2×C4—612no—
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—1228no—
1836C2×C4—1228no—
1837C2×C4—1222no—
1838C2×C4—1222no—
1839C2×C4—1222no—
1840C2×C4—1222no—
1841C2×C4—1222no—
1842C2×C4—1222no—
1843C2×C4—1222no—
1844C2×C4—1222no—
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×C4—2444no—
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—22no—
1876C22—22no—
1877C22—22no—
1878C22—44no—
1879C22—44no—
1880C22—44no—
1881C22—614no—
1882C22—1222no—
1883C22—1222no—
1884C22—1228no—
1885C22—1222no—
1886C22—1222no—
1887C22—1222no—
1888C22—1222no—
1889C22—1222no—
1890C22—1222no—
1891C22—4888no—
1892C22—4888no—
1893C22—2444no—
1894C22—2444no—
1895C22C2×#41×D6114yes—
1896C22C2×#41×D6112yes—
1897C22#1684059712yes—
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—614no—
1912C4—1222no—
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—42no—
1928C2—1224no—
1929C2—2442no—
1930C2—2442no—
1931C2#2145987814yesdirect product factor
1932C2C22×#41×D6111yescharacteristic
1933C2C2×#1684059711yescharacteristic
1934C2C2×#1684059811yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#553C2
socleC23×C61C25
hypercenterC2×#553D61
hypocenterC61C2×#3521
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
1. #21459878C2direct (N × H)
2. C2×#16840479C2semidirect
3. C2×#16840479C2semidirect
4. C2×#16840467C2semidirect
5. C2×#16840457C2semidirect
6. C2×#16840455C2semidirect
7. C2×#16840452C2semidirect
8. C2×#16840445C2semidirect
9. C2×#16840444C2semidirect
10. C2×#16840441C2semidirect
11. C2×#16840441C2semidirect
12. C2×#16840441C2semidirect
13. C2×#16840435C2semidirect
14. C2×#16840412C2semidirect
15. C2×#16840401C2semidirect
16. C2×#16840401C2semidirect
17. C2×#16840380C2semidirect
18. C2×#16840371C2semidirect
19. C2×#16840357C2semidirect
20. C2×#16840353C2semidirect
21. C2×#16840349C2semidirect
22. C2×#16840344C2semidirect
23. C2×#16840293C2semidirect
24. C2×#16840292C2semidirect
25. C2×#16840290C2semidirect
26. C2×#16840289C2semidirect
27. C22×#14519772C2semidirect
28. C2×#126×D61C2semidirect
29. C2×#16840241C2semidirect
30. C2×#16840234C2semidirect
31. C2×C4×#11758224C2semidirect
32. C2×C61×#553C2semidirect
36. #16840479C22semidirect
37. #16840479C22semidirect
38. #16840467C22semidirect
39. #16840457C22semidirect
40. #16840455C22semidirect
41. #16840452C22semidirect
42. #16840445C22semidirect
43. #16840444C22semidirect
44. #16840441C22semidirect
45. #16840441C22semidirect
46. #16840441C22semidirect
47. #16840435C22semidirect
48. #16840412C22semidirect
49. #16840401C22semidirect
50. #16840401C22semidirect
51. #16840380C22semidirect
52. #16840371C22semidirect
53. #16840357C22semidirect
54. #16840353C22semidirect
55. #16840349C22semidirect
56. #16840344C22semidirect
57. C2×#14519776C22semidirect
58. C2×#14519776C22semidirect
59. #16840293C22semidirect
60. #16840292C22semidirect
61. #16840290C22semidirect
62. #16840289C22semidirect
70. C2×#14519772C22semidirect
71. C2×#14519772C22semidirect
72. C2×#14519772C22semidirect
73. C2×#14519772C22semidirect
74. C2×#14519772C22semidirect
75. C2×#14519772C22semidirect
78. C2×#14519770C22semidirect
79. C2×#14519770C22semidirect
80. C2×#14519770C22semidirect
81. C2×#14519770C22semidirect
82. C2×#14519770C22semidirect
83. C2×#14519770C22semidirect
84. #126×D61C22semidirect
85. C2×#14519769C22semidirect
86. C2×#14519768C22semidirect
87. C2×#14519767C22semidirect
88. C2×#14519767C22semidirect
89. C2×#14519767C22semidirect
90. C2×#14519767C22semidirect
91. C2×#14519767C22semidirect
92. C2×#14519767C22semidirect
93. C2×#14519764C22semidirect
99. C2×#14519763C22semidirect
103. C2×#14519761C22semidirect
106. C2×#14519759C22semidirect
107. C2×#14519759C22semidirect
108. C2×#14519759C22semidirect
109. C2×#14519759C22semidirect
112. C2×#14519758C22semidirect
113. C2×#14519758C22semidirect
114. C2×#14519758C22semidirect
115. C2×#14519758C22semidirect
116. C2×#14519757C22semidirect
117. C2×#14519756C22semidirect
118. C2×#14519756C22semidirect
119. C2×#14519756C22semidirect
120. C2×#14519756C22semidirect
123. C2×#14519755C22semidirect
124. C2×#14519755C22semidirect
125. C2×#14519755C22semidirect
126. C2×#14519755C22semidirect
127. C2×#14519754C22semidirect
128. C2×#14519754C22semidirect
129. C2×#14519754C22semidirect
130. C2×#14519754C22semidirect
136. C2×#14519749C22semidirect
137. C2×#14519748C22semidirect
142. #16840241C22semidirect
143. #16840234C22semidirect
144. C4×#11758224C22semidirect
145. C2×C4×Dic122C22semidirect
146. C2×C4×Dic122C22semidirect
147. C2×C4×Dic122C22semidirect
148. C2×#14519742C22semidirect
149. C2×#14519742C22semidirect
150. C2×#14519742C22semidirect
151. C2×#14519742C22semidirect
154. C2×D4×Dic61C22semidirect
155. C2×D4×Dic61C22semidirect
156. C2×D4×Dic61C22semidirect
157. C2×D4×Dic61C22semidirect
163. C2×C4×C22⋊D61C22semidirect
164. C2×C4×C22⋊D61C22semidirect
165. C2×C4×C22⋊D61C22semidirect
166. C2×C4×C22⋊D61C22semidirect
171. C2×#14519737C22semidirect
172. C2×#14519737C22semidirect
173. C2×#14519736C22semidirect
175. C2×#14519735C22semidirect
177. C2×#14519734C22semidirect
178. C2×#14519734C22semidirect
179. C2×#14519734C22semidirect
180. C2×#14519733C22semidirect
181. C2×#14519733C22semidirect
182. C2×#14519733C22semidirect
183. C2×#14519733C22semidirect
184. C2×#14519733C22semidirect
185. C2×#14519733C22semidirect
186. C22×C4⋊Dic61C22semidirect
187. C22×#11758196C22semidirect
188. C22×#11758196C22semidirect
189. C2×C4⋊C4×D61C22semidirect
190. C2×C4⋊C4×D61C22semidirect
191. C2×C4⋊C4×D61C22semidirect
200. C22×C4×Dic61C22semidirect
201. C22×C4×Dic61C22semidirect
202. C2×C42×D61C22semidirect
203. C61×#553C22semidirect
204. C2×#126×C61C22semidirect
205. C2×#126×C61C22semidirect
206. C2×#125×C61C22semidirect
207. C2×#123×C61C22semidirect
208. C2×#123×C61C22semidirect
211. C2×#121×C61C22semidirect
212. C2×#121×C61C22semidirect
214. C2×C4×D4×C61C22semidirect
215. C2×C4×D4×C61C22semidirect
216. C2×C4×D4×C61C22semidirect
217. C2×#117×C61C22semidirect
218. C22×C4⋊C4×C61C22semidirect
258. #14519776C23semidirect
259. #14519776C23semidirect
267. #14519772C23semidirect
268. #14519772C23semidirect
269. #14519772C23semidirect
270. #14519772C23semidirect
271. #14519772C23semidirect
274. #14519770C23semidirect
275. #14519770C23semidirect
276. #14519770C23semidirect
277. #14519770C23semidirect
278. #14519770C23semidirect
279. #14519770C23semidirect
280. #14519769C23semidirect
281. #14519768C23semidirect
282. #14519767C23semidirect
283. #14519767C23semidirect
284. #14519767C23semidirect
285. #14519767C23semidirect
286. #14519767C23semidirect
287. #14519767C23semidirect
288. #14519764C23semidirect
294. #14519763C23semidirect
298. #14519761C23semidirect
301. #14519759C23semidirect
302. #14519759C23semidirect
303. #14519759C23semidirect
304. #14519759C23semidirect
307. #14519758C23semidirect
308. #14519758C23semidirect
309. #14519758C23semidirect
310. #14519758C23semidirect
311. #14519757C23semidirect
312. #14519756C23semidirect
313. #14519756C23semidirect
314. #14519756C23semidirect
315. #14519756C23semidirect
318. #14519755C23semidirect
319. #14519755C23semidirect
320. #14519755C23semidirect
321. #14519755C23semidirect
322. #14519754C23semidirect
323. #14519754C23semidirect
324. #14519754C23semidirect
325. #14519754C23semidirect
331. #14519749C23semidirect
332. #14519748C23semidirect
337. C4×Dic122C23semidirect
338. C4×Dic122C23semidirect
339. C4×Dic122C23semidirect
340. #14519742C23semidirect
341. #14519742C23semidirect
342. #14519742C23semidirect
343. #14519742C23semidirect
346. D4×Dic61C23semidirect
347. D4×Dic61C23semidirect
348. D4×Dic61C23semidirect
349. D4×Dic61C23semidirect
355. C4×C22⋊D61C23semidirect
356. C4×C22⋊D61C23semidirect
357. C4×C22⋊D61C23semidirect
358. C4×C22⋊D61C23semidirect
363. #14519737C23semidirect
364. #14519737C23semidirect
365. #14519736C23semidirect
367. #14519735C23semidirect
369. #14519734C23semidirect
370. #14519734C23semidirect
371. #14519734C23semidirect
372. #14519733C23semidirect
373. #14519733C23semidirect
374. #14519733C23semidirect
375. #14519733C23semidirect
376. #14519733C23semidirect
377. #14519733C23semidirect
388. C2×C4⋊Dic61C23semidirect
415. C2×#11758196C23semidirect
416. C2×#11758196C23semidirect
417. C4⋊C4×D61C23semidirect
418. C4⋊C4×D61C23semidirect
419. C4⋊C4×D61C23semidirect
479. C2×C4×Dic61C23semidirect
480. C2×C4×Dic61C23semidirect
481. C42×D61C23semidirect
494. #126×C61C23semidirect
495. #126×C61C23semidirect
496. #125×C61C23semidirect
497. #123×C61C23semidirect
498. #123×C61C23semidirect
501. #121×C61C23semidirect
502. #121×C61C23semidirect
504. C4×D4×C61C23semidirect
505. C4×D4×C61C23semidirect
506. C4×D4×C61C23semidirect
507. #117×C61C23semidirect
518. C2×C4⋊C4×C61C23semidirect
963. C2×#553D61semidirect
993. C2×C61#3521semidirect
1008. #553C2×D61semidirect
1053. C2×#126C2×D61semidirect
1054. C2×#126C2×D61semidirect
1063. C2×#125C2×D61semidirect
1087. C2×#123C2×D61semidirect
1088. C2×#123C2×D61semidirect
1113. C2×#121C2×D61semidirect
1114. C2×#121C2×D61semidirect
1151. C2×C4×D4C2×D61semidirect
1152. C2×C4×D4C2×D61semidirect
1153. C2×C4×D4C2×D61semidirect
1167. C2×#117C2×D61semidirect
1174. C22×C4⋊C4C2×D61semidirect
1186. C61C2×#3521semidirect
1260. #126C22×D61semidirect
1261. #126C22×D61semidirect
1270. #125C22×D61semidirect
1294. #123C22×D61semidirect
1295. #123C22×D61semidirect
1320. #121C22×D61semidirect
1321. #121C22×D61semidirect
1355. C4×D4C22×D61semidirect
1356. C4×D4C22×D61semidirect
1357. C4×D4C22×D61semidirect
1371. #117C22×D61semidirect
1424. C2×C4⋊C4C22×D61semidirect
1931. C2#21459878direct (N × H)

Maximal subgroups

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

subgroupindex
#214598782
C2×#168404792
C2×#168404672
C2×#168404572
C2×#168404552
C2×#168404522
C2×#168404452
C2×#168404442
C2×#168404412
C2×#168404352
C2×#168404122
C2×#168404012
C2×#168403802
C2×#168403712
C2×#168403572
C2×#168403532
C2×#168403492
C2×#168403442
C2×#168402932
C2×#168402922
C2×#168402902
C2×#168402892
C22×#145197722
C2×#126×D612
C2×#168402412
C2×#168402342
C2×C4×#117582242
C2×C61×#5532
C2×#352161