Finite Group Databasebeta

← C2×#21459877 #30588141

Subgroups — C2×#21459877 #30588141

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#21459877C2132yesmaximal, direct product factor
2C2×#16840483C211yesmaximal, characteristic, complemented
3C2×#16840479C211yesmaximal, characteristic, complemented
4C2×#16840470C211yesmaximal, characteristic, complemented
5C2×#16840464C211yesmaximal, characteristic, complemented
6C2×#16840463C211yesmaximal, characteristic, complemented
7C2×#16840457C211yesmaximal, characteristic, complemented
8C2×#16840450C211yesmaximal, characteristic, complemented
9C2×#16840449C211yesmaximal, characteristic, complemented
10C2×#16840444C211yesmaximal, characteristic, complemented
11C2×#16840439C211yesmaximal, characteristic, complemented
12C2×#16840439C211yesmaximal, characteristic, complemented
13C2×#16840435C211yesmaximal, characteristic, complemented
14C2×#16840435C211yesmaximal, characteristic, complemented
15C2×#16840410C211yesmaximal, characteristic, complemented
16C2×#16840404C211yesmaximal, characteristic, complemented
17C2×#16840401C211yesmaximal, characteristic, complemented
18C2×#16840378C211yesmaximal, characteristic, complemented
19C2×#16840371C211yesmaximal, characteristic, complemented
20C2×#16840358C211yesmaximal, characteristic, complemented
21C2×#16840348C211yesmaximal, characteristic, complemented
22C2×#16840345C211yesmaximal, characteristic, complemented
23C2×#16840298C211yesmaximal, characteristic, complemented
24C2×#16840297C211yesmaximal, characteristic, complemented
25C2×#16840292C211yesmaximal, characteristic, complemented
26C2×#16840289C211yesmaximal, characteristic, complemented
27C22×#14519772C211yesmaximal, characteristic, complemented
28C2×#126×D61C211yesmaximal, characteristic, complemented
29C2×#16840243C211yesmaximal, characteristic, complemented
30C2×#16840234C211yesmaximal, characteristic, complemented
31C2×C4×#11758224C211yesmaximal, characteristic, complemented
32C2×C61×#539C211yesmaximal, characteristic, complemented
33C22×#11758222C2211yescharacteristic
34C22×#11758224C2211yescharacteristic
35C22×D4×D61C2211yescharacteristic
36#16840483C22116yescomplemented
37#16840479C22116yescomplemented
38#16840470C22116yescomplemented
39#16840464C22116yescomplemented
40#16840463C22116yescomplemented
41#16840457C22116yescomplemented
42#16840450C22116yescomplemented
43#16840449C22116yescomplemented
44#16840444C22116yescomplemented
45#16840439C22116yescomplemented
46#16840439C22116yescomplemented
47#16840435C22116yescomplemented
48#16840435C22116yescomplemented
49#16840410C22116yescomplemented
50#16840404C22116yescomplemented
51#16840401C22116yescomplemented
52#16840378C22116yescomplemented
53#16840371C22116yescomplemented
54#16840358C22116yescomplemented
55#16840348C22116yescomplemented
56#16840345C22116yescomplemented
57C2×#14519776C2211yescharacteristic, complemented
58C2×#14519776C2211yescharacteristic, complemented
59#16840298C22116yescomplemented
60#16840297C22116yescomplemented
61#16840292C22116yescomplemented
62#16840289C22116yescomplemented
63C2×#14519772C2211yescharacteristic
64C2×#14519772C2211yescharacteristic
65C2×#14519772C2211yescharacteristic
66C2×#14519772C2211yescharacteristic
67C2×#14519772C2211yescharacteristic
68C2×#14519772C2211yescharacteristic
69C2×#14519772C2211yescharacteristic
70C2×#14519772C2211yescharacteristic
71C2×#14519772C2211yescharacteristic, complemented
72C2×#14519772C2211yescharacteristic, complemented
73C2×#14519772C2211yescharacteristic, complemented
74C2×#14519772C2211yescharacteristic, complemented
75C2×#14519772C2211yescharacteristic, complemented
76C2×#14519772C2211yescharacteristic, complemented
77C2×#14519772C22116yescomplemented
78C2×#14519771C2211yescharacteristic
79C2×#14519770C2211yescharacteristic, complemented
80C2×#14519770C2211yescharacteristic, complemented
81C2×#14519770C2211yescharacteristic, complemented
82C2×#14519770C2211yescharacteristic, complemented
83C2×#14519770C2211yescharacteristic, complemented
84#126×D61C22116yescomplemented
85C2×#14519768C2211yescharacteristic, complemented
86C2×#14519768C2211yescharacteristic, complemented
87C2×#14519767C2211yescharacteristic, complemented
88C2×#14519767C2211yescharacteristic, complemented
89C2×#14519767C2211yescharacteristic, complemented
90C2×#14519767C2211yescharacteristic, complemented
91C2×#14519767C2211yescharacteristic, complemented
92C2×#14519766C2211yescharacteristic
93C2×#14519765C2211yescharacteristic, complemented
94C2×#14519763C2211yescharacteristic
95C2×#14519763C2211yescharacteristic
96C2×#14519763C2211yescharacteristic
97C2×#14519763C2211yescharacteristic
98C2×#14519763C2211yescharacteristic, complemented
99C2×#14519762C2211yescharacteristic
100C2×#14519762C2211yescharacteristic
101C2×#14519762C2211yescharacteristic
102C2×#14519762C2211yescharacteristic
103C2×#14519762C2211yescharacteristic, complemented
104C2×#14519762C2211yescharacteristic, complemented
105C2×#14519761C2211yescharacteristic
106C2×#14519761C2211yescharacteristic, complemented
107C2×#14519761C2211yescharacteristic, complemented
108C2×#14519761C2211yescharacteristic, complemented
109C2×#14519760C2211yescharacteristic, complemented
110C2×#14519759C2211yescharacteristic, complemented
111C2×#14519759C2211yescharacteristic, complemented
112C2×#14519758C2211yescharacteristic
113C2×#14519757C2211yescharacteristic, complemented
114C2×#14519757C2211yescharacteristic, complemented
115C2×#14519757C2211yescharacteristic, complemented
116C2×#14519755C2211yescharacteristic
117C2×#14519755C2211yescharacteristic
118C2×#14519755C2211yescharacteristic, complemented
119C2×#14519754C2211yescharacteristic, complemented
120C2×#14519754C2211yescharacteristic, complemented
121C2×#14519754C2211yescharacteristic, complemented
122C2×#14519754C2211yescharacteristic, complemented
123C2×#14519753C2211yescharacteristic, complemented
124C2×#14519753C2211yescharacteristic, complemented
125C2×#14519752C2211yescharacteristic
126C2×#14519751C2211yescharacteristic
127C2×#14519750C2211yescharacteristic
128C2×#14519750C2211yescharacteristic
129C2×#14519750C2211yescharacteristic, complemented
130C2×#14519750C2211yescharacteristic, complemented
131C2×#14519749C2211yescharacteristic
132C2×#14519749C2211yescharacteristic
133C2×#14519749C2211yescharacteristic, complemented
134C2×#14519748C2211yescharacteristic, complemented
135C2×#14519747C2211yescharacteristic
136C2×#14519747C2211yescharacteristic
137C2×#14519745C2211yescharacteristic
138C2×#14519745C2211yescharacteristic
139#16840243C22116yescomplemented
140#16840234C22116yescomplemented
141C4×#11758224C22116yescomplemented
142C2×Q8×Dic61C2211yescharacteristic, complemented
143C2×C4×Dic122C2211yescharacteristic, complemented
144C2×C4×Dic122C2211yescharacteristic, complemented
145C2×#14519742C2211yescharacteristic, complemented
146C2×#14519742C2211yescharacteristic, complemented
147C2×#14519742C2211yescharacteristic, complemented
148C2×#14519742C2211yescharacteristic, complemented
149C2×C4×D244C2211yescharacteristic
150C2×D4×Dic61C2211yescharacteristic
151C2×D4×Dic61C2211yescharacteristic, complemented
152C2×D4×Dic61C2211yescharacteristic, complemented
153C2×#14519739C2211yescharacteristic
154C2×#14519739C2211yescharacteristic
155C2×#14519739C2211yescharacteristic, complemented
156C2×#14519739C2211yescharacteristic, complemented
157C2×#14519739C2211yescharacteristic, complemented
158C2×C4×C22⋊D61C2211yescharacteristic
159C2×C4×C22⋊D61C2211yescharacteristic
160C2×C4×C22⋊D61C2211yescharacteristic
161C2×C4×C22⋊D61C2211yescharacteristic, complemented
162C2×C4×C22⋊D61C2211yescharacteristic, complemented
163C2×C4×C22⋊D61C2211yescharacteristic, complemented
164C2×C4×C22⋊D61C2211yescharacteristic, complemented
165C2×#14519737C2211yescharacteristic
166C2×#14519737C2211yescharacteristic
167C2×#14519737C2211yescharacteristic
168C2×#14519737C2211yescharacteristic
169C2×#14519737C2211yescharacteristic, complemented
170C2×#14519737C2211yescharacteristic, complemented
171C2×#14519737C2211yescharacteristic, complemented
172C2×#14519736C2211yescharacteristic, complemented
173C2×#14519736C2211yescharacteristic, complemented
174C2×#14519735C2211yescharacteristic
175C2×#14519735C2211yescharacteristic, complemented
176C2×#14519735C2211yescharacteristic, complemented
177C2×#14519735C2211yescharacteristic, complemented
178C2×#14519735C2211yescharacteristic, complemented
179C2×#14519735C2211yescharacteristic, complemented
180C2×#14519735C2211yescharacteristic, complemented
181C2×#14519734C2211yescharacteristic
182C2×#14519734C2211yescharacteristic, complemented
183C2×#14519733C2211yescharacteristic, complemented
184C2×#14519733C2211yescharacteristic, complemented
185C2×#14519733C2211yescharacteristic, complemented
186C22×C4⋊Dic61C2211yescharacteristic, complemented
187C22×#11758196C2211yescharacteristic, complemented
188C2×C4⋊C4×D61C2211yescharacteristic, 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×#539C22116yescomplemented
204C2×#126×C61C2211yescharacteristic, complemented
205C2×#126×C61C2211yescharacteristic, complemented
206C2×#125×C61C2211yescharacteristic, complemented
207C2×#125×C61C2211yescharacteristic, complemented
208C2×#123×C61C2211yescharacteristic
209C2×#123×C61C2211yescharacteristic, complemented
210C2×#123×C61C2211yescharacteristic, complemented
211C2×#123×C61C2211yescharacteristic, complemented
212C2×C22⋊Q8×C61C2211yescharacteristic, complemented
213C2×C22⋊Q8×C61C2211yescharacteristic, complemented
214C2×C22⋊Q8×C61C2211yescharacteristic, complemented
215C2×#121×C61C2211yescharacteristic
216C2×C4×D4×C61C2211yescharacteristic
217C2×C4×D4×C61C2211yescharacteristic, complemented
218C22×C4⋊C4×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C24×D61C2311yescharacteristic
221C2×#11758222—28no—
222C2×#11758222C2318yes—
223C2×#11758224—28no—
224C2×#11758224C2318yes—
225C22×Dic122C2311yescharacteristic
226C22×Dic122C2311yescharacteristic
227C22×Dic122C2311yescharacteristic
228C22×Dic122C2311yescharacteristic
229C22×D244C2311yescharacteristic
230C22×D244C2311yescharacteristic
231C22×D244C2311yescharacteristic
232C22×D244C2311yescharacteristic
233C22×C22⋊D61C2311yescharacteristic
234C22×C22⋊D61C2311yescharacteristic
235C22×C22⋊D61C2311yescharacteristic
236C22×C22⋊D61C2311yescharacteristic
237C22×C22⋊D61C2311yescharacteristic
238C22×C22⋊D61C2311yescharacteristic
239C22×C22⋊D61C2311yescharacteristic
240C22×C22⋊D61C2311yescharacteristic
241C2×D4×D61—28no—
242C2×D4×D61C2318yes—
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
258C22×C4×D61C2311yescharacteristic
259C22×C4×D61C2311yescharacteristic
260C22×C4×D61C2311yescharacteristic
261#14519776C2318yescomplemented
262#14519776C2318yescomplemented
263#14519772C2318yes—
264#14519772C2318yes—
265#14519772C2318yes—
266#14519772C2318yes—
267#14519772C2318yes—
268#14519772C2318yes—
269#14519772C2318yes—
270#14519772C2318yes—
271#14519772C2318yescomplemented
272#14519772C2318yescomplemented
273#14519772C2318yescomplemented
274#14519772C2318yescomplemented
275#14519772C2318yescomplemented
276#14519772C2318yescomplemented
277#14519771C2318yes—
278#14519770C2318yescomplemented
279#14519770C2318yescomplemented
280#14519770C2318yescomplemented
281#14519770C2318yescomplemented
282#14519770C2318yescomplemented
283#14519768C2318yescomplemented
284#14519768C2318yescomplemented
285#14519767C2318yescomplemented
286#14519767C2318yescomplemented
287#14519767C2318yescomplemented
288#14519767C2318yescomplemented
289#14519767C2318yescomplemented
290#14519766C2318yes—
291#14519765C2318yescomplemented
292#14519763C2318yes—
293#14519763C2318yes—
294#14519763C2318yes—
295#14519763C2318yes—
296#14519763C2318yescomplemented
297#14519762C2318yes—
298#14519762C2318yes—
299#14519762C2318yes—
300#14519762C2318yes—
301#14519762C2318yescomplemented
302#14519762C2318yescomplemented
303#14519761C2318yes—
304#14519761C2318yescomplemented
305#14519761C2318yescomplemented
306#14519761C2318yescomplemented
307#14519760C2318yescomplemented
308#14519759C2318yescomplemented
309#14519759C2318yescomplemented
310#14519758C2318yes—
311#14519757C2318yescomplemented
312#14519757C2318yescomplemented
313#14519757C2318yescomplemented
314#14519755C2318yes—
315#14519755C2318yes—
316#14519755C2318yescomplemented
317#14519754C2318yescomplemented
318#14519754C2318yescomplemented
319#14519754C2318yescomplemented
320#14519754C2318yescomplemented
321#14519753C2318yescomplemented
322#14519753C2318yescomplemented
323#14519752C2318yes—
324#14519751C2318yes—
325#14519750C2318yes—
326#14519750C2318yes—
327#14519750C2318yescomplemented
328#14519750C2318yescomplemented
329#14519749C2318yes—
330#14519749C2318yes—
331#14519749C2318yescomplemented
332#14519748C2318yescomplemented
333#14519747C2318yes—
334#14519747C2318yes—
335#14519745C2318yes—
336#14519745C2318yes—
337Q8×Dic61C2318yescomplemented
338C4×Dic122C2318yescomplemented
339C4×Dic122C2318yescomplemented
340#14519742C2318yescomplemented
341#14519742C2318yescomplemented
342#14519742C2318yescomplemented
343#14519742C2318yescomplemented
344C4×D244C2318yes—
345D4×Dic61C2318yes—
346D4×Dic61C2318yescomplemented
347D4×Dic61C2318yescomplemented
348#14519739C2318yes—
349#14519739C2318yes—
350#14519739C2318yescomplemented
351#14519739C2318yescomplemented
352#14519739C2318yescomplemented
353C4×C22⋊D61C2318yes—
354C4×C22⋊D61C2318yes—
355C4×C22⋊D61C2318yes—
356C4×C22⋊D61C2318yescomplemented
357C4×C22⋊D61C2318yescomplemented
358C4×C22⋊D61C2318yescomplemented
359C4×C22⋊D61C2318yescomplemented
360#14519737C2318yes—
361#14519737C2318yes—
362#14519737C2318yes—
363#14519737C2318yes—
364#14519737C2318yescomplemented
365#14519737C2318yescomplemented
366#14519737C2318yescomplemented
367#14519736C2318yescomplemented
368#14519736C2318yescomplemented
369#14519735C2318yes—
370#14519735C2318yescomplemented
371#14519735C2318yescomplemented
372#14519735C2318yescomplemented
373#14519735C2318yescomplemented
374#14519735C2318yescomplemented
375#14519735C2318yescomplemented
376#14519734C2318yes—
377#14519734C2318yescomplemented
378#14519733C2318yescomplemented
379#14519733C2318yescomplemented
380#14519733C2318yescomplemented
381C2×C4⋊Dic61C2311yescharacteristic
382C2×C4⋊Dic61C2311yescharacteristic
383C2×C4⋊Dic61C2311yescharacteristic
384C2×C4⋊Dic61C2311yescharacteristic
385C2×C4⋊Dic61C2311yescharacteristic
386C2×C4⋊Dic61C2311yescharacteristic
387C2×C4⋊Dic61C2311yescharacteristic
388C2×C4⋊Dic61C2311yescharacteristic
389C2×C4⋊Dic61C2311yescharacteristic
390C2×C4⋊Dic61C2311yescharacteristic
391C2×C4⋊Dic61C2311yescharacteristic
392C2×C4⋊Dic61C2311yescharacteristic
393C2×C4⋊Dic61C2318yescomplemented
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×#11758196C2318yescomplemented
415C4⋊C4×D61C2318yescomplemented
416C4⋊C4×D61C2318yescomplemented
417C4⋊C4×D61C2318yescomplemented
418C4⋊C4×D61C2318yescomplemented
419C2×C22⋊Dic61C2311yescharacteristic
420C2×C22⋊Dic61C2311yescharacteristic
421C2×C22⋊Dic61C2311yescharacteristic
422C2×C22⋊Dic61C2311yescharacteristic
423C2×C22⋊Dic61C2311yescharacteristic
424C2×C22⋊Dic61C2311yescharacteristic
425C2×C22⋊Dic61C2311yescharacteristic
426C2×C22⋊Dic61C2311yescharacteristic
427C2×#11758198C2311yescharacteristic
428C2×#11758198C2311yescharacteristic
429C2×#11758198C2311yescharacteristic
430C2×#11758198C2311yescharacteristic
431C2×#11758198C2311yescharacteristic
432C2×#11758198C2311yescharacteristic
433C2×#11758198C2311yescharacteristic
434C2×#11758198C2311yescharacteristic
435C2×#11758198C2311yescharacteristic
436C2×#11758198C2311yescharacteristic
437C2×#11758198C2311yescharacteristic
438C2×#11758198C2311yescharacteristic
439C2×#11758198C2311yescharacteristic
440C2×#11758198C2311yescharacteristic
441C2×#11758198C2318yes—
442C2×#11758198C2318yes—
443C2×#11758198C2311yescharacteristic
444C2×#11758198C2311yescharacteristic
445C2×#11758198C2311yescharacteristic
446C2×#11758198C2311yescharacteristic
447C2×#11758198C2318yes—
448C2×#11758198C2318yes—
449C2×#11758198C2311yescharacteristic
450C2×#11758198C2311yescharacteristic
451C2×#11758198C2311yescharacteristic
452C2×#11758198C2311yescharacteristic
453C2×#11758198C2311yescharacteristic
454C2×#11758198C2311yescharacteristic
455C2×#11758198C2311yescharacteristic
456C2×#11758198C2311yescharacteristic
457C2×#11758198C2311yescharacteristic
458C2×#11758198C2311yescharacteristic
459C22⋊C4×D61C2318yes—
460C22⋊C4×D61C2318yes—
461C22⋊C4×D61C2318yes—
462C22⋊C4×D61C2318yes—
463C2×C4×Dic61C2311yescharacteristic
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×Q8×C61C2311yescharacteristic
483C22×D4×C61C2311yescharacteristic
484C22×D4×C61C2311yescharacteristic
485C22×D4×C61C2311yescharacteristic
486C23×C4×C61C2311yescharacteristic
487C23×C4×C61C2311yescharacteristic
488C23×C4×C61C2311yescharacteristic
489C23×C4×C61C2311yescharacteristic
490C23×C4×C61C2311yescharacteristic
491#126×C61C2318yescomplemented
492#126×C61C2318yescomplemented
493#125×C61C2318yescomplemented
494#125×C61C2318yescomplemented
495#123×C61C2318yes—
496#123×C61C2318yescomplemented
497#123×C61C2318yescomplemented
498#123×C61C2318yescomplemented
499C22⋊Q8×C61C2318yescomplemented
500C22⋊Q8×C61C2318yescomplemented
501C22⋊Q8×C61C2318yescomplemented
502#121×C61C2318yes—
503C4×D4×C61C2318yes—
504C4×D4×C61C2318yescomplemented
505C2×C4⋊C4×C61C2311yescharacteristic
506C2×C4⋊C4×C61C2311yescharacteristic
507C2×C4⋊C4×C61C2311yescharacteristic
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×C61C2311yescharacteristic
519C2×C4⋊C4×C61C2318yescomplemented
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×C22⋊C4×C61C2311yescharacteristic
530C2×C42×C61C2311yescharacteristic
531C2×C42×C61C2311yescharacteristic
532C24×C61C2411yescharacteristic
533C24×C61C2411yescharacteristic
534C24×C61C2411yescharacteristic
535C23×D61—24no—
536C23×D61—24no—
537C23×D61—42no—
538C23×D61—42no—
539C23×D61—42no—
540C23×D61—42no—
541C23×D61C2411yescharacteristic
542C23×D61C2411yescharacteristic
543C23×D61C2411yescharacteristic
544C23×D61C2411yescharacteristic
545C23×D61C2414yes—
546C23×D61C2414yes—
547C2×Q8×C61—42no—
548C2×Q8×C61C2414yes—
549C2×D4×C61—24no—
550C2×D4×C61—24no—
551C2×D4×C61—42no—
552C2×D4×C61C2414yes—
553C2×D4×C61C2414yes—
554C2×D4×C61C2414yes—
555C22×C4×C61—24no—
556C22×C4×C61—42no—
557C22×C4×C61—42no—
558C22×C4×C61—42no—
559C22×C4×C61—42no—
560C22×C4×C61C2411yescharacteristic
561C22×C4×C61C2411yescharacteristic
562C22×C4×C61C2411yescharacteristic
563C22×C4×C61C2411yescharacteristic
564C22×C4×C61C2411yescharacteristic
565C22×C4×C61C2411yescharacteristic
566C22×C4×C61C2411yescharacteristic
567C22×C4×C61C2411yescharacteristic
568C22×C4×C61C2411yescharacteristic
569C22×C4×C61C2411yescharacteristic
570C22×C4×C61C2411yescharacteristic
571C22×C4×C61C2411yescharacteristic
572C22×C4×C61C2414yes—
573C22×C4×C61C2414yes—
574C22×C4×C61C2414yes—
575C22×C4×C61C2414yes—
576C22×C4×C61C2414yes—
577C2×C22⋊D61—24no—
578C2×C22⋊D61—24no—
579C2×C22⋊D61—24no—
580C2×C22⋊D61—42no—
581C2×C22⋊D61—42no—
582C2×C22⋊D61—42no—
583C2×C22⋊D61—42no—
584C2×C22⋊D61#4118yes—
585C2×C22⋊D61C2414yes—
586C2×C22⋊D61C2414yes—
587C2×C22⋊D61C2414yes—
588C2×C22⋊D61C2414yes—
589C2×C22⋊D61C2414yes—
590C2×C22⋊D61C2414yes—
591C2×C22⋊D61C2414yes—
592C2×C22⋊D61C2414yes—
593C22×Dic61—24no—
594C22×Dic61—24no—
595C22×Dic61—42no—
596C22×Dic61—42no—
597C22×Dic61—42no—
598C22×Dic61—42no—
599C22×Dic61C2411yescharacteristic
600C22×Dic61C2411yescharacteristic
601C22×Dic61C2411yescharacteristic
602C22×Dic61C2411yescharacteristic
603C22×Dic61C2411yescharacteristic
604C22×Dic61C2411yescharacteristic
605C22×Dic61C2411yescharacteristic
606C22×Dic61C2411yescharacteristic
607C22×Dic61C2411yescharacteristic
608C22×Dic61C2411yescharacteristic
609C22×Dic61C2414yes—
610C22×Dic61C2414yes—
611C22×Dic61C2411yescharacteristic
612C22×Dic61C2414yes—
613C22×Dic61C2414yes—
614C22×Dic61C2414yes—
615C22×Dic61C2414yes—
616C22×Dic61C2411yescharacteristic
617#11758224—232no—
618D4×D61—232no—
619#11758222—232no—
620C2×D244—24no—
621C2×D244—24no—
622C2×D244—42no—
623C2×D244—42no—
624C2×D244C2414yes—
625C2×D244C2414yes—
626C2×D244C2414yes—
627C2×D244C2414yes—
628C2×C4×D61—24no—
629C2×C4×D61—24no—
630C2×C4×D61—24no—
631C2×C4×D61—24no—
632C2×C4×D61—42no—
633C2×C4×D61—42no—
634C2×C4×D61—42no—
635C2×C4×D61—42no—
636C2×C4×D61—42no—
637C2×C4×D61—42no—
638C2×C4×D61—42no—
639C2×C4×D61—42no—
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×C4×D61C2414yes—
651C2×C4×D61C2414yes—
652C2×Dic122—24no—
653C2×Dic122—24no—
654C2×Dic122—42no—
655C2×Dic122—42no—
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—
672C4⋊C4×C61C2414yes—
673C4⋊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—
686C22⋊Dic61C2414yes—
687C22⋊Dic61C2414yes—
688C22⋊Dic61C2414yes—
689C22⋊Dic61C2414yes—
690C22⋊Dic61C2414yes—
691C22⋊Dic61C2414yes—
692C22⋊Dic61C2414yes—
693C22⋊Dic61C2414yes—
694#11758198C2414yes—
695#11758198C2414yes—
696#11758198C2414yes—
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—
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—
732C4⋊Dic61C2414yes—
733C4⋊Dic61C2414yes—
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—
754C4×Dic61C2414yes—
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×C61C2×#4114yes—
779C23×C61C2512yes—
780C23×C61C2512yes—
781C23×C61C2512yes—
782C23×C61C2511yescharacteristic
783C22×D61—22no—
784C22×D61—22no—
785C22×D61—22no—
786C22×D61—22no—
787C22×D61—22no—
788C22×D61—22no—
789C22×D61—22no—
790C22×D61—22no—
791C22×D61—22no—
792C22×D61—22no—
793C22×D61—22no—
794C22×D61—28no—
795C22×D61—28no—
796C22×D61—44no—
797C22×D61—44no—
798C22×D61—44no—
799C22×D61—44no—
800C22×D61—88no—
801C22×D61—88no—
802C22×D61C2×#4114yes—
803C22×D61C2512yes—
804C22×D61C2512yes—
805C22×D61C2512yes—
806C22×D61C2512yes—
807Q8×C61—44no—
808D4×C61—28no—
809D4×C61—28no—
810D4×C61—44no—
811C2×C4×C61—22no—
812C2×C4×C61—22no—
813C2×C4×C61—22no—
814C2×C4×C61—22no—
815C2×C4×C61—28no—
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×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—
837C2×C4×C61C2512yes—
838C2×C4×C61C2512yes—
839C2×C4×C61C2512yes—
840C22⋊D61—28no—
841C22⋊D61—28no—
842C22⋊D61—28no—
843C22⋊D61—44no—
844C22⋊D61—44no—
845C22⋊D61—44no—
846C22⋊D61—44no—
847C22⋊D61C2×#41116yes—
848C2×Dic61—22no—
849C2×Dic61—22no—
850C2×Dic61—22no—
851C2×Dic61—28no—
852C2×Dic61—22no—
853C2×Dic61—22no—
854C2×Dic61—22no—
855C2×Dic61—22no—
856C2×Dic61—22no—
857C2×Dic61—22no—
858C2×Dic61—22no—
859C2×Dic61—22no—
860C2×Dic61—28no—
861C2×Dic61—44no—
862C2×Dic61—44no—
863C2×Dic61—44no—
864C2×Dic61—44no—
865C2×Dic61C2×#4114yes—
866C2×Dic61C2512yes—
867C2×Dic61C2512yes—
868C2×Dic61C2512yes—
869C2×Dic61C2512yes—
870C2×Dic61C2512yes—
871C2×Dic61C2512yes—
872C2×Dic61C2512yes—
873C2×Dic61C2512yes—
874C2×Dic61C2512yes—
875C2×Dic61C2512yes—
876C2×Dic61C2512yes—
877C2×Dic61C2512yes—
878D244—28no—
879D244—28no—
880D244—44no—
881D244—44no—
882C4×D61—28no—
883C4×D61—28no—
884C4×D61—28no—
885C4×D61—28no—
886C4×D61—44no—
887C4×D61—44no—
888C4×D61—44no—
889C4×D61—44no—
890C4×D61—44no—
891C4×D61—44no—
892C4×D61—44no—
893C4×D61—44no—
894Dic122—28no—
895Dic122—28no—
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×C61C22×#4114yes—
911C22×C61C22×#4112yes—
912C22×C61#58512yes—
913C22×C61#58512yes—
914C22×C61C2611yescharacteristic
915C2×D61—22no—
916C2×D61—22no—
917C2×D61—28no—
918C2×D61—22no—
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—44no—
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—
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×#539D6111yescharacteristic, complemented
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#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#539C2×D61116yescomplemented
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×#126—6116no—
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×#125C2×D6111yescharacteristic, complemented
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×#123C2×D6111yescharacteristic
1086C2×#123C2×D6111yescharacteristic, complemented
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⋊Q8C2×D6111yescharacteristic, complemented
1102C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1103C2×C22⋊Q8C2×D6111yescharacteristic, complemented
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×#121C2×D6111yescharacteristic
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×D4C2×D6111yescharacteristic
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×#117—611no—
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×Q8C22×D6111yescharacteristic
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—611no—
1209C22×D4—611no—
1210C22×D4—611no—
1211C22×D4—1228no—
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×C4—611no—
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#125C22×D6118yescomplemented
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#123C22×D6118yes—
1293#123C22×D6118yescomplemented
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⋊Q8C22×D6118yescomplemented
1309C22⋊Q8C22×D6118yescomplemented
1310C22⋊Q8C22×D6118yescomplemented
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#121C22×D6118yes—
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×D4C22×D6118yes—
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#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—618no—
1390C2×C4⋊C4—618no—
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×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—618no—
1446C2×C22⋊C4—618no—
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—618no—
1454C2×C22⋊C4—618no—
1455C2×C22⋊C4—611no—
1456C2×C22⋊C4—611no—
1457C2×C22⋊C4—611no—
1458C2×C22⋊C4—611no—
1459C2×C22⋊C4—611no—
1460C2×C22⋊C4—611no—
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—611no—
1494C2×C42—618no—
1495C2×C42—618no—
1496C2×C42—611no—
1497C2×C42—618no—
1498C2×C42C22×D6111yescharacteristic
1499C2×C42C22×D6111yescharacteristic
1500C24—611no—
1501C24—611no—
1502C24—611no—
1503C24—611no—
1504C24—614no—
1505C24—614no—
1506C24—1224no—
1507C24—1224no—
1508C24—2442no—
1509C24—2442no—
1510C24—2442no—
1511C24—2442no—
1512C24C23×D6111yescharacteristic
1513C24C23×D6111yescharacteristic
1514C24C23×D6111yescharacteristic
1515#41—12232no—
1516#41—12232no—
1517C2×Q8—42no—
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×Q8C23×D6114yes—
1527C2×D4—24no—
1528C2×D4—24no—
1529C2×D4—42no—
1530C2×D4—618no—
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—2442no—
1550C2×D4—2442no—
1551C2×D4—2442no—
1552C2×D4—2442no—
1553C2×D4—2442no—
1554C2×D4—2442no—
1555C2×D4C23×D6114yes—
1556C2×D4C23×D6114yes—
1557C2×D4C23×D6114yes—
1558C22×C4—24no—
1559C22×C4—42no—
1560C22×C4—42no—
1561C22×C4—42no—
1562C22×C4—42no—
1563C22×C4—611no—
1564C22×C4—614no—
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—1224no—
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×C4—2442no—
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⋊C4C23×D6114yes—
1661C4⋊C4C23×D6114yes—
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⋊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—
1735C42—614no—
1736C42C23×D6114yes—
1737C42C23×D6114yes—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—614no—
1747C23—612no—
1748C23—612no—
1749C23—612no—
1750C23—612no—
1751C23—1228no—
1752C23—1222no—
1753C23—1222no—
1754C23—1228no—
1755C23—1222no—
1756C23—1222no—
1757C23—1222no—
1758C23—1222no—
1759C23—1222no—
1760C23—1222no—
1761C23—1222no—
1762C23—1222no—
1763C23—1222no—
1764C23—4888no—
1765C23—4888no—
1766C23—2444no—
1767C23—2444no—
1768C23—2444no—
1769C23—2444no—
1770C23#41×D6114yes—
1771C23C24×D6112yes—
1772C23C24×D6112yes—
1773C23C24×D6112yes—
1774C23C24×D6111yescharacteristic
1775Q8—44no—
1776Q8—1228no—
1777Q8—1228no—
1778Q8—2444no—
1779Q8—2444no—
1780D4—28no—
1781D4—28no—
1782D4—44no—
1783D4—6116no—
1784D4—1228no—
1785D4—1228no—
1786D4—1228no—
1787D4—1228no—
1788D4—1228no—
1789D4—2444no—
1790D4—2444no—
1791D4—2444no—
1792D4—2444no—
1793D4—2444no—
1794D4—2444no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—28no—
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—22no—
1807C2×C4—22no—
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—1228no—
1826C2×C4—1228no—
1827C2×C4—1228no—
1828C2×C4—1228no—
1829C2×C4—1228no—
1830C2×C4—1222no—
1831C2×C4—1222no—
1832C2×C4—1222no—
1833C2×C4—1228no—
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—614no—
1878C22—1222no—
1879C22—1222no—
1880C22—1228no—
1881C22—1222no—
1882C22—1222no—
1883C22—1222no—
1884C22—1222no—
1885C22—1222no—
1886C22—1222no—
1887C22—1222no—
1888C22—1222no—
1889C22—1222no—
1890C22—4888no—
1891C22—4888no—
1892C22—2444no—
1893C22—2444no—
1894C22—2444no—
1895C22C2×#41×D6114yes—
1896C22C2×#41×D6112yes—
1897C22#1684059712yes—
1898C22#1684059912yes—
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#2145987714yesdirect product factor
1932C2C22×#41×D6111yescharacteristic
1933C2C2×#1684059711yescharacteristic
1934C2C2×#1684059911yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#539C2
socleC23×C61C25
hypercenterC2×#539D61
hypocenterC61C2×#3521
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #21459877C2direct (N × H)
2. C2×#16840483C2semidirect
3. C2×#16840479C2semidirect
4. C2×#16840470C2semidirect
5. C2×#16840464C2semidirect
6. C2×#16840463C2semidirect
7. C2×#16840457C2semidirect
8. C2×#16840450C2semidirect
9. C2×#16840449C2semidirect
10. C2×#16840444C2semidirect
11. C2×#16840439C2semidirect
12. C2×#16840439C2semidirect
13. C2×#16840435C2semidirect
14. C2×#16840435C2semidirect
15. C2×#16840410C2semidirect
16. C2×#16840404C2semidirect
17. C2×#16840401C2semidirect
18. C2×#16840378C2semidirect
19. C2×#16840371C2semidirect
20. C2×#16840358C2semidirect
21. C2×#16840348C2semidirect
22. C2×#16840345C2semidirect
23. C2×#16840298C2semidirect
24. C2×#16840297C2semidirect
25. C2×#16840292C2semidirect
26. C2×#16840289C2semidirect
27. C22×#14519772C2semidirect
28. C2×#126×D61C2semidirect
29. C2×#16840243C2semidirect
30. C2×#16840234C2semidirect
31. C2×C4×#11758224C2semidirect
32. C2×C61×#539C2semidirect
36. #16840483C22semidirect
37. #16840479C22semidirect
38. #16840470C22semidirect
39. #16840464C22semidirect
40. #16840463C22semidirect
41. #16840457C22semidirect
42. #16840450C22semidirect
43. #16840449C22semidirect
44. #16840444C22semidirect
45. #16840439C22semidirect
46. #16840439C22semidirect
47. #16840435C22semidirect
48. #16840435C22semidirect
49. #16840410C22semidirect
50. #16840404C22semidirect
51. #16840401C22semidirect
52. #16840378C22semidirect
53. #16840371C22semidirect
54. #16840358C22semidirect
55. #16840348C22semidirect
56. #16840345C22semidirect
57. C2×#14519776C22semidirect
58. C2×#14519776C22semidirect
59. #16840298C22semidirect
60. #16840297C22semidirect
61. #16840292C22semidirect
62. #16840289C22semidirect
71. C2×#14519772C22semidirect
72. C2×#14519772C22semidirect
73. C2×#14519772C22semidirect
74. C2×#14519772C22semidirect
75. C2×#14519772C22semidirect
76. C2×#14519772C22semidirect
77. C2×#14519772C22semidirect
79. C2×#14519770C22semidirect
80. C2×#14519770C22semidirect
81. C2×#14519770C22semidirect
82. C2×#14519770C22semidirect
83. C2×#14519770C22semidirect
84. #126×D61C22semidirect
85. C2×#14519768C22semidirect
86. C2×#14519768C22semidirect
87. C2×#14519767C22semidirect
88. C2×#14519767C22semidirect
89. C2×#14519767C22semidirect
90. C2×#14519767C22semidirect
91. C2×#14519767C22semidirect
93. C2×#14519765C22semidirect
98. C2×#14519763C22semidirect
103. C2×#14519762C22semidirect
104. C2×#14519762C22semidirect
106. C2×#14519761C22semidirect
107. C2×#14519761C22semidirect
108. C2×#14519761C22semidirect
109. C2×#14519760C22semidirect
110. C2×#14519759C22semidirect
111. C2×#14519759C22semidirect
113. C2×#14519757C22semidirect
114. C2×#14519757C22semidirect
115. C2×#14519757C22semidirect
118. C2×#14519755C22semidirect
119. C2×#14519754C22semidirect
120. C2×#14519754C22semidirect
121. C2×#14519754C22semidirect
122. C2×#14519754C22semidirect
123. C2×#14519753C22semidirect
124. C2×#14519753C22semidirect
129. C2×#14519750C22semidirect
130. C2×#14519750C22semidirect
133. C2×#14519749C22semidirect
134. C2×#14519748C22semidirect
139. #16840243C22semidirect
140. #16840234C22semidirect
141. C4×#11758224C22semidirect
142. C2×Q8×Dic61C22semidirect
143. C2×C4×Dic122C22semidirect
144. C2×C4×Dic122C22semidirect
145. C2×#14519742C22semidirect
146. C2×#14519742C22semidirect
147. C2×#14519742C22semidirect
148. C2×#14519742C22semidirect
151. C2×D4×Dic61C22semidirect
152. C2×D4×Dic61C22semidirect
155. C2×#14519739C22semidirect
156. C2×#14519739C22semidirect
157. C2×#14519739C22semidirect
161. C2×C4×C22⋊D61C22semidirect
162. C2×C4×C22⋊D61C22semidirect
163. C2×C4×C22⋊D61C22semidirect
164. C2×C4×C22⋊D61C22semidirect
169. C2×#14519737C22semidirect
170. C2×#14519737C22semidirect
171. C2×#14519737C22semidirect
172. C2×#14519736C22semidirect
173. C2×#14519736C22semidirect
175. C2×#14519735C22semidirect
176. C2×#14519735C22semidirect
177. C2×#14519735C22semidirect
178. C2×#14519735C22semidirect
179. C2×#14519735C22semidirect
180. C2×#14519735C22semidirect
182. C2×#14519734C22semidirect
183. C2×#14519733C22semidirect
184. C2×#14519733C22semidirect
185. C2×#14519733C22semidirect
186. C22×C4⋊Dic61C22semidirect
187. C22×#11758196C22semidirect
188. C2×C4⋊C4×D61C22semidirect
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×#539C22semidirect
204. C2×#126×C61C22semidirect
205. C2×#126×C61C22semidirect
206. C2×#125×C61C22semidirect
207. C2×#125×C61C22semidirect
209. C2×#123×C61C22semidirect
210. C2×#123×C61C22semidirect
211. C2×#123×C61C22semidirect
212. C2×C22⋊Q8×C61C22semidirect
213. C2×C22⋊Q8×C61C22semidirect
214. C2×C22⋊Q8×C61C22semidirect
217. C2×C4×D4×C61C22semidirect
218. C22×C4⋊C4×C61C22semidirect
261. #14519776C23semidirect
262. #14519776C23semidirect
271. #14519772C23semidirect
272. #14519772C23semidirect
273. #14519772C23semidirect
274. #14519772C23semidirect
275. #14519772C23semidirect
276. #14519772C23semidirect
278. #14519770C23semidirect
279. #14519770C23semidirect
280. #14519770C23semidirect
281. #14519770C23semidirect
282. #14519770C23semidirect
283. #14519768C23semidirect
284. #14519768C23semidirect
285. #14519767C23semidirect
286. #14519767C23semidirect
287. #14519767C23semidirect
288. #14519767C23semidirect
289. #14519767C23semidirect
291. #14519765C23semidirect
296. #14519763C23semidirect
301. #14519762C23semidirect
302. #14519762C23semidirect
304. #14519761C23semidirect
305. #14519761C23semidirect
306. #14519761C23semidirect
307. #14519760C23semidirect
308. #14519759C23semidirect
309. #14519759C23semidirect
311. #14519757C23semidirect
312. #14519757C23semidirect
313. #14519757C23semidirect
316. #14519755C23semidirect
317. #14519754C23semidirect
318. #14519754C23semidirect
319. #14519754C23semidirect
320. #14519754C23semidirect
321. #14519753C23semidirect
322. #14519753C23semidirect
327. #14519750C23semidirect
328. #14519750C23semidirect
331. #14519749C23semidirect
332. #14519748C23semidirect
337. Q8×Dic61C23semidirect
338. C4×Dic122C23semidirect
339. C4×Dic122C23semidirect
340. #14519742C23semidirect
341. #14519742C23semidirect
342. #14519742C23semidirect
343. #14519742C23semidirect
346. D4×Dic61C23semidirect
347. D4×Dic61C23semidirect
350. #14519739C23semidirect
351. #14519739C23semidirect
352. #14519739C23semidirect
356. C4×C22⋊D61C23semidirect
357. C4×C22⋊D61C23semidirect
358. C4×C22⋊D61C23semidirect
359. C4×C22⋊D61C23semidirect
364. #14519737C23semidirect
365. #14519737C23semidirect
366. #14519737C23semidirect
367. #14519736C23semidirect
368. #14519736C23semidirect
370. #14519735C23semidirect
371. #14519735C23semidirect
372. #14519735C23semidirect
373. #14519735C23semidirect
374. #14519735C23semidirect
375. #14519735C23semidirect
377. #14519734C23semidirect
378. #14519733C23semidirect
379. #14519733C23semidirect
380. #14519733C23semidirect
393. C2×C4⋊Dic61C23semidirect
414. C2×#11758196C23semidirect
415. C4⋊C4×D61C23semidirect
416. C4⋊C4×D61C23semidirect
417. C4⋊C4×D61C23semidirect
418. C4⋊C4×D61C23semidirect
479. C2×C4×Dic61C23semidirect
480. C2×C4×Dic61C23semidirect
481. C42×D61C23semidirect
491. #126×C61C23semidirect
492. #126×C61C23semidirect
493. #125×C61C23semidirect
494. #125×C61C23semidirect
496. #123×C61C23semidirect
497. #123×C61C23semidirect
498. #123×C61C23semidirect
499. C22⋊Q8×C61C23semidirect
500. C22⋊Q8×C61C23semidirect
501. C22⋊Q8×C61C23semidirect
504. C4×D4×C61C23semidirect
519. C2×C4⋊C4×C61C23semidirect
977. C2×#539D61semidirect
992. C2×C61#3521semidirect
1022. #539C2×D61semidirect
1053. C2×#126C2×D61semidirect
1054. C2×#126C2×D61semidirect
1062. C2×#125C2×D61semidirect
1063. C2×#125C2×D61semidirect
1086. C2×#123C2×D61semidirect
1087. C2×#123C2×D61semidirect
1088. C2×#123C2×D61semidirect
1101. C2×C22⋊Q8C2×D61semidirect
1102. C2×C22⋊Q8C2×D61semidirect
1103. C2×C22⋊Q8C2×D61semidirect
1153. C2×C4×D4C2×D61semidirect
1174. C22×C4⋊C4C2×D61semidirect
1186. C61C2×#3521semidirect
1260. #126C22×D61semidirect
1261. #126C22×D61semidirect
1269. #125C22×D61semidirect
1270. #125C22×D61semidirect
1293. #123C22×D61semidirect
1294. #123C22×D61semidirect
1295. #123C22×D61semidirect
1308. C22⋊Q8C22×D61semidirect
1309. C22⋊Q8C22×D61semidirect
1310. C22⋊Q8C22×D61semidirect
1357. C4×D4C22×D61semidirect
1424. C2×C4⋊C4C22×D61semidirect
1931. C2#21459877direct (N × H)

Maximal subgroups

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

subgroupindex
#214598772
C2×#168404832
C2×#168404792
C2×#168404702
C2×#168404642
C2×#168404632
C2×#168404572
C2×#168404502
C2×#168404492
C2×#168404442
C2×#168404392
C2×#168404352
C2×#168404102
C2×#168404042
C2×#168404012
C2×#168403782
C2×#168403712
C2×#168403582
C2×#168403482
C2×#168403452
C2×#168402982
C2×#168402972
C2×#168402922
C2×#168402892
C22×#145197722
C2×#126×D612
C2×#168402432
C2×#168402342
C2×C4×#117582242
C2×C61×#5392
C2×#352161