Finite Group Databasebeta

← C2×#21459510 #30588060

Subgroups — C2×#21459510 #30588060

Order 15616.

7390 conjugacy classes of subgroups.

The subgroup lattice has 1940 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459510C2132yesmaximal, direct product factor
2C2×#16840454C211yesmaximal, characteristic, complemented
3C2×#16840452C211yesmaximal, characteristic, complemented
4C2×#16840451C211yesmaximal, characteristic, complemented
5C2×#16840449C211yesmaximal, characteristic, complemented
6C2×#16840448C211yesmaximal, characteristic, complemented
7C2×#16840448C211yesmaximal, characteristic, complemented
8C2×#16840446C211yesmaximal, characteristic, complemented
9C2×#16840445C211yesmaximal, characteristic, complemented
10C2×#16840443C211yesmaximal, characteristic, complemented
11C2×#16840442C211yesmaximal, characteristic, complemented
12C2×#16840441C211yesmaximal, characteristic, complemented
13C2×#16840440C211yesmaximal, characteristic, complemented
14C2×#16840438C211yesmaximal, characteristic, complemented
15C2×#16840438C211yesmaximal, characteristic, complemented
16C2×#16840435C211yesmaximal, characteristic, complemented
17C2×#16840387C211yesmaximal, characteristic, complemented
18C2×#16840358C211yesmaximal, characteristic, complemented
19C2×#16840355C211yesmaximal, characteristic, complemented
20C2×#16840355C211yesmaximal, characteristic, complemented
21C2×#16840353C211yesmaximal, characteristic, complemented
22C2×#16840322C211yesmaximal, characteristic
23C2×#16840295C211yesmaximal, characteristic, complemented
24C2×#16840294C211yesmaximal, characteristic, complemented
25C2×#16840291C211yesmaximal, characteristic, complemented
26C2×#16840290C211yesmaximal, characteristic, complemented
27C22×#14519759C211yesmaximal, characteristic, complemented
28C2×#123×D61C211yesmaximal, characteristic, complemented
29C2×#16840235C211yesmaximal, characteristic, complemented
30C2×#16840234C211yesmaximal, characteristic, complemented
31C2×#117×D61C211yesmaximal, characteristic, complemented
32C2×C61×#551C211yesmaximal, characteristic, complemented
33C23×C22⋊D61C2211yescharacteristic
34C22×D4×D61C2211yescharacteristic
35C23×C4×D61C2211yescharacteristic
36#16840454C22116yescomplemented
37#16840452C22116yescomplemented
38#16840451C22116yescomplemented
39#16840449C22116yescomplemented
40#16840448C22116yescomplemented
41#16840448C22116yescomplemented
42#16840446C22116yescomplemented
43#16840445C22116yescomplemented
44#16840443C22116yescomplemented
45#16840442C22116yescomplemented
46#16840441C22116yescomplemented
47#16840440C22116yescomplemented
48#16840438C22116yescomplemented
49#16840438C22116yescomplemented
50#16840435C22116yescomplemented
51#16840387C22116yescomplemented
52#16840358C22116yescomplemented
53#16840355C22116yescomplemented
54#16840355C22116yescomplemented
55#16840353C22116yescomplemented
56#16840322C22116yes—
57#16840295C22116yescomplemented
58#16840294C22116yescomplemented
59#16840291C22116yescomplemented
60#16840290C22116yescomplemented
61C2×#14519772C2211yescharacteristic, complemented
62C2×#14519772C2211yescharacteristic, complemented
63C2×#14519772C2211yescharacteristic, complemented
64C2×#14519771C2211yescharacteristic, complemented
65C2×#14519770C2211yescharacteristic, complemented
66C2×#14519770C2211yescharacteristic, complemented
67C2×#14519770C2211yescharacteristic, complemented
68C2×#14519770C2211yescharacteristic, complemented
69C2×#14519770C2211yescharacteristic, complemented
70C2×#14519770C2211yescharacteristic, complemented
71C2×#14519770C2211yescharacteristic, complemented
72C2×#14519770C2211yescharacteristic, complemented
73C2×#14519770C2211yescharacteristic, complemented
74C2×#14519770C2211yescharacteristic, complemented
75C2×#14519769C2211yescharacteristic, complemented
76C2×#14519769C2211yescharacteristic, complemented
77C2×#14519768C2211yescharacteristic, complemented
78C2×#14519768C2211yescharacteristic, complemented
79C2×#14519768C2211yescharacteristic, complemented
80C2×#14519768C2211yescharacteristic, complemented
81C2×#14519767C2211yescharacteristic, complemented
82C2×#14519767C2211yescharacteristic, complemented
83C2×#14519767C2211yescharacteristic, complemented
84C2×#14519767C2211yescharacteristic, complemented
85C2×#14519767C2211yescharacteristic, complemented
86C2×#14519767C2211yescharacteristic, complemented
87C2×#14519764C2211yescharacteristic, complemented
88C2×#14519763C2211yescharacteristic, complemented
89C2×#14519763C2211yescharacteristic, complemented
90C2×#14519762C2211yescharacteristic, complemented
91C2×#14519762C2211yescharacteristic, complemented
92C2×#14519761C2211yescharacteristic
93C2×#14519761C2211yescharacteristic
94C2×#14519761C2211yescharacteristic, complemented
95C2×#14519760C2211yescharacteristic
96C2×#14519760C2211yescharacteristic, complemented
97C2×#14519759C2211yescharacteristic
98C2×#14519759C2211yescharacteristic
99C2×#14519759C2211yescharacteristic
100C2×#14519759C2211yescharacteristic
101C2×#14519759C2211yescharacteristic
102C2×#14519759C2211yescharacteristic
103C2×#14519759C2211yescharacteristic, complemented
104C2×#14519759C2211yescharacteristic, complemented
105C2×#14519759C2211yescharacteristic, complemented
106C2×#14519759C2211yescharacteristic, complemented
107C2×#14519759C2211yescharacteristic, complemented
108C2×#14519759C2211yescharacteristic, complemented
109C2×#14519759C2211yescharacteristic, complemented
110C2×#14519759C2211yescharacteristic, complemented
111C2×#14519759C22116yescomplemented
112C2×#14519758C2211yescharacteristic
113C2×#14519758C2211yescharacteristic
114C2×#14519758C2211yescharacteristic, complemented
115C2×#14519758C2211yescharacteristic, complemented
116#123×D61C22116yescomplemented
117C2×#14519757C2211yescharacteristic, complemented
118C2×#14519757C2211yescharacteristic, complemented
119C2×#14519756C2211yescharacteristic, complemented
120C2×#14519756C2211yescharacteristic, complemented
121C2×#14519756C2211yescharacteristic, complemented
122C2×#14519755C2211yescharacteristic, complemented
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×#14519754C2211yescharacteristic, complemented
132C2×#14519753C2211yescharacteristic, complemented
133C2×#14519753C2211yescharacteristic, complemented
134C2×#14519753C2211yescharacteristic, complemented
135C2×#14519750C2211yescharacteristic
136C2×#14519750C2211yescharacteristic
137C2×#14519748C2211yescharacteristic
138C2×#14519748C2211yescharacteristic
139C2×#14519746C2211yescharacteristic
140C2×#14519745C2211yescharacteristic
141C2×#14519745C2211yescharacteristic
142#16840235C22116yescomplemented
143#16840234C22116yescomplemented
144C2×Q8×Dic61C2211yescharacteristic, complemented
145C2×C4×Dic122C2211yescharacteristic, complemented
146C2×C4×Dic122C2211yescharacteristic, complemented
147C2×#14519742C2211yescharacteristic, complemented
148C2×C4×D244C2211yescharacteristic, complemented
149C2×D4×Dic61C2211yescharacteristic
150C2×D4×Dic61C2211yescharacteristic, complemented
151C2×#14519739C2211yescharacteristic, complemented
152C2×C4×C22⋊D61C2211yescharacteristic
153C2×C4×C22⋊D61C2211yescharacteristic
154C2×C4×C22⋊D61C2211yescharacteristic
155C2×C4×C22⋊D61C2211yescharacteristic, complemented
156C2×C4×C22⋊D61C2211yescharacteristic, complemented
157C2×C4×C22⋊D61C2211yescharacteristic, complemented
158C2×C4×C22⋊D61C2211yescharacteristic, complemented
159C2×#14519737C2211yescharacteristic
160C2×#14519737C2211yescharacteristic
161C2×#14519737C2211yescharacteristic
162C2×#14519737C2211yescharacteristic, complemented
163C2×#14519737C2211yescharacteristic, complemented
164C2×#14519737C2211yescharacteristic, complemented
165C2×#14519737C2211yescharacteristic, complemented
166C2×#14519736C2211yescharacteristic, complemented
167C2×#14519736C2211yescharacteristic, complemented
168C2×#14519736C2211yescharacteristic, complemented
169C2×#14519735C2211yescharacteristic, complemented
170C2×#14519735C2211yescharacteristic, complemented
171C2×#14519735C2211yescharacteristic, complemented
172C2×#14519735C2211yescharacteristic, complemented
173C2×#14519734C2211yescharacteristic, complemented
174C2×#14519734C2211yescharacteristic, complemented
175C2×#14519734C2211yescharacteristic, complemented
176C2×#14519734C2211yescharacteristic, complemented
177C2×#14519733C2211yescharacteristic, complemented
178C2×#14519733C2211yescharacteristic, complemented
179C2×#14519733C2211yescharacteristic, complemented
180C2×#14519733C2211yescharacteristic, complemented
181C2×#14519733C2211yescharacteristic, complemented
182C2×#14519733C2211yescharacteristic, complemented
183C2×#14519733C2211yescharacteristic, complemented
184#117×D61C22116yescomplemented
185C22×C4⋊Dic61C2211yescharacteristic, complemented
186C22×#11758196C2211yescharacteristic, complemented
187C2×C4⋊C4×D61C2211yescharacteristic, complemented
188C2×C4⋊C4×D61C2211yescharacteristic, complemented
189C2×C4⋊C4×D61C2211yescharacteristic, complemented
190C2×C4⋊C4×D61C2211yescharacteristic, complemented
191C22×C22⋊Dic61C2211yescharacteristic, complemented
192C22×C22⋊Dic61C2211yescharacteristic, complemented
193C22×#11758198C2211yescharacteristic
194C22×#11758198C2211yescharacteristic, complemented
195C2×C22⋊C4×D61C2211yescharacteristic
196C2×C22⋊C4×D61C2211yescharacteristic
197C2×C22⋊C4×D61C2211yescharacteristic
198C2×C22⋊C4×D61C2211yescharacteristic, complemented
199C2×C22⋊C4×D61C2211yescharacteristic, complemented
200C2×C22⋊C4×D61C2211yescharacteristic, complemented
201C2×C42×D61C2211yescharacteristic, complemented
202C2×C42×D61C2211yescharacteristic, complemented
203C61×#551C22116yescomplemented
204C2×#126×C61C2211yescharacteristic, complemented
205C2×#126×C61C2211yescharacteristic, complemented
206C2×#124×C61C2211yescharacteristic, complemented
207C2×#123×C61C2211yescharacteristic
208C2×#123×C61C2211yescharacteristic, complemented
209C2×#123×C61C2211yescharacteristic, complemented
210C2×C22⋊Q8×C61C2211yescharacteristic, complemented
211C2×C22⋊Q8×C61C2211yescharacteristic, complemented
212C2×#120×C61C2211yescharacteristic
213C2×C4×D4×C61C2211yescharacteristic
214C2×C4×D4×C61C2211yescharacteristic, complemented
215C2×#117×C61C2211yescharacteristic, complemented
216C2×#117×C61C2211yescharacteristic, complemented
217C22×C22⋊C4×C61C2211yescharacteristic, complemented
218C22×C22⋊C4×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C24×D61C2311yescharacteristic
221C22×Dic122C2311yescharacteristic
222C22×Dic122C2311yescharacteristic
223C22×Dic122C2311yescharacteristic
224C22×D244C2311yescharacteristic
225C22×C22⋊D61—28no—
226C22×C22⋊D61C2311yescharacteristic
227C22×C22⋊D61C2311yescharacteristic
228C22×C22⋊D61C2311yescharacteristic
229C22×C22⋊D61C2311yescharacteristic
230C22×C22⋊D61C2311yescharacteristic
231C22×C22⋊D61C2311yescharacteristic
232C22×C22⋊D61C2318yes—
233C22×C22⋊D61C2311yescharacteristic
234C22×C22⋊D61C2311yescharacteristic
235C2×D4×D61—28no—
236C2×D4×D61C2318yes—
237C23×Dic61C2311yescharacteristic
238C23×Dic61C2311yescharacteristic
239C23×Dic61C2311yescharacteristic
240C23×Dic61C2311yescharacteristic
241C23×Dic61C2311yescharacteristic
242C23×Dic61C2311yescharacteristic
243C22×C4×D61—28no—
244C22×C4×D61C2311yescharacteristic
245C22×C4×D61C2311yescharacteristic
246C22×C4×D61C2311yescharacteristic
247C22×C4×D61C2311yescharacteristic
248C22×C4×D61C2311yescharacteristic
249C22×C4×D61C2318yes—
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#14519772C2318yescomplemented
259#14519772C2318yescomplemented
260#14519772C2318yescomplemented
261#14519771C2318yescomplemented
262#14519770C2318yescomplemented
263#14519770C2318yescomplemented
264#14519770C2318yescomplemented
265#14519770C2318yescomplemented
266#14519770C2318yescomplemented
267#14519770C2318yescomplemented
268#14519770C2318yescomplemented
269#14519770C2318yescomplemented
270#14519770C2318yescomplemented
271#14519770C2318yescomplemented
272#14519769C2318yescomplemented
273#14519769C2318yescomplemented
274#14519768C2318yescomplemented
275#14519768C2318yescomplemented
276#14519768C2318yescomplemented
277#14519768C2318yescomplemented
278#14519767C2318yescomplemented
279#14519767C2318yescomplemented
280#14519767C2318yescomplemented
281#14519767C2318yescomplemented
282#14519767C2318yescomplemented
283#14519767C2318yescomplemented
284#14519764C2318yescomplemented
285#14519763C2318yescomplemented
286#14519763C2318yescomplemented
287#14519762C2318yescomplemented
288#14519762C2318yescomplemented
289#14519761C2318yes—
290#14519761C2318yes—
291#14519761C2318yescomplemented
292#14519760C2318yes—
293#14519760C2318yescomplemented
294#14519759C2318yes—
295#14519759C2318yes—
296#14519759C2318yes—
297#14519759C2318yes—
298#14519759C2318yes—
299#14519759C2318yes—
300#14519759C2318yescomplemented
301#14519759C2318yescomplemented
302#14519759C2318yescomplemented
303#14519759C2318yescomplemented
304#14519759C2318yescomplemented
305#14519759C2318yescomplemented
306#14519759C2318yescomplemented
307#14519759C2318yescomplemented
308#14519758C2318yes—
309#14519758C2318yes—
310#14519758C2318yescomplemented
311#14519758C2318yescomplemented
312#14519757C2318yescomplemented
313#14519757C2318yescomplemented
314#14519756C2318yescomplemented
315#14519756C2318yescomplemented
316#14519756C2318yescomplemented
317#14519755C2318yescomplemented
318#14519755C2318yescomplemented
319#14519755C2318yescomplemented
320#14519755C2318yescomplemented
321#14519755C2318yescomplemented
322#14519754C2318yescomplemented
323#14519754C2318yescomplemented
324#14519754C2318yescomplemented
325#14519754C2318yescomplemented
326#14519754C2318yescomplemented
327#14519753C2318yescomplemented
328#14519753C2318yescomplemented
329#14519753C2318yescomplemented
330#14519750C2318yes—
331#14519750C2318yes—
332#14519748C2318yes—
333#14519748C2318yes—
334#14519746C2318yes—
335#14519745C2318yes—
336#14519745C2318yes—
337Q8×Dic61C2318yescomplemented
338C4×Dic122C2318yescomplemented
339C4×Dic122C2318yescomplemented
340#14519742C2318yescomplemented
341C4×D244C2318yescomplemented
342D4×Dic61C2318yes—
343D4×Dic61C2318yescomplemented
344#14519739C2318yescomplemented
345C4×C22⋊D61C2318yes—
346C4×C22⋊D61C2318yes—
347C4×C22⋊D61C2318yes—
348C4×C22⋊D61C2318yescomplemented
349C4×C22⋊D61C2318yescomplemented
350C4×C22⋊D61C2318yescomplemented
351C4×C22⋊D61C2318yescomplemented
352#14519737C2318yes—
353#14519737C2318yes—
354#14519737C2318yes—
355#14519737C2318yescomplemented
356#14519737C2318yescomplemented
357#14519737C2318yescomplemented
358#14519737C2318yescomplemented
359#14519736C2318yescomplemented
360#14519736C2318yescomplemented
361#14519736C2318yescomplemented
362#14519735C2318yescomplemented
363#14519735C2318yescomplemented
364#14519735C2318yescomplemented
365#14519735C2318yescomplemented
366#14519734C2318yescomplemented
367#14519734C2318yescomplemented
368#14519734C2318yescomplemented
369#14519734C2318yescomplemented
370#14519733C2318yescomplemented
371#14519733C2318yescomplemented
372#14519733C2318yescomplemented
373#14519733C2318yescomplemented
374#14519733C2318yescomplemented
375#14519733C2318yescomplemented
376#14519733C2318yescomplemented
377C2×C4⋊Dic61C2311yescharacteristic
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⋊Dic61C2311yescharacteristic
389C2×C4⋊Dic61C2311yescharacteristic
390C2×C4⋊Dic61C2311yescharacteristic
391C2×C4⋊Dic61C2318yescomplemented
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×#11758196C2311yescharacteristic
416C2×#11758196C2311yescharacteristic
417C2×#11758196C2311yescharacteristic
418C2×#11758196C2318yescomplemented
419C4⋊C4×D61C2318yescomplemented
420C4⋊C4×D61C2318yescomplemented
421C4⋊C4×D61C2318yescomplemented
422C4⋊C4×D61C2318yescomplemented
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×C22⋊Dic61C2311yescharacteristic
435C2×C22⋊Dic61C2311yescharacteristic
436C2×C22⋊Dic61C2311yescharacteristic
437C2×C22⋊Dic61C2311yescharacteristic
438C2×C22⋊Dic61C2311yescharacteristic
439C2×C22⋊Dic61C2318yescomplemented
440C2×C22⋊Dic61C2318yescomplemented
441C2×#11758198C2311yescharacteristic
442C2×#11758198C2311yescharacteristic
443C2×#11758198C2311yescharacteristic
444C2×#11758198C2311yescharacteristic
445C2×#11758198C2311yescharacteristic
446C2×#11758198C2311yescharacteristic
447C2×#11758198C2311yescharacteristic
448C2×#11758198C2311yescharacteristic
449C2×#11758198C2311yescharacteristic
450C2×#11758198C2311yescharacteristic
451C2×#11758198C2311yescharacteristic
452C2×#11758198C2311yescharacteristic
453C2×#11758198C2311yescharacteristic
454C2×#11758198C2311yescharacteristic
455C2×#11758198C2318yes—
456C2×#11758198C2311yescharacteristic
457C2×#11758198C2311yescharacteristic
458C2×#11758198C2311yescharacteristic
459C2×#11758198C2311yescharacteristic
460C2×#11758198C2318yescomplemented
461C22⋊C4×D61C2318yes—
462C22⋊C4×D61C2318yes—
463C22⋊C4×D61C2318yes—
464C22⋊C4×D61C2318yescomplemented
465C22⋊C4×D61C2318yescomplemented
466C22⋊C4×D61C2318yescomplemented
467C2×C4×Dic61C2311yescharacteristic
468C2×C4×Dic61C2311yescharacteristic
469C2×C4×Dic61C2311yescharacteristic
470C2×C4×Dic61C2311yescharacteristic
471C2×C4×Dic61C2311yescharacteristic
472C2×C4×Dic61C2311yescharacteristic
473C2×C4×Dic61C2311yescharacteristic
474C2×C4×Dic61C2311yescharacteristic
475C2×C4×Dic61C2311yescharacteristic
476C2×C4×Dic61C2311yescharacteristic
477C2×C4×Dic61C2311yescharacteristic
478C2×C4×Dic61C2311yescharacteristic
479C2×C4×Dic61C2311yescharacteristic
480C42×D61C2318yescomplemented
481C42×D61C2318yescomplemented
482C25×C61C2311yescharacteristic
483C22×Q8×C61C2311yescharacteristic
484C22×D4×C61C2311yescharacteristic
485C22×D4×C61C2311yescharacteristic
486C22×D4×C61C2311yescharacteristic
487C23×C4×C61C2311yescharacteristic
488C23×C4×C61C2311yescharacteristic
489C23×C4×C61C2311yescharacteristic
490C23×C4×C61C2311yescharacteristic
491C23×C4×C61C2311yescharacteristic
492#126×C61C2318yescomplemented
493#126×C61C2318yescomplemented
494#124×C61C2318yescomplemented
495#123×C61C2318yes—
496#123×C61C2318yescomplemented
497#123×C61C2318yescomplemented
498C22⋊Q8×C61C2318yescomplemented
499C22⋊Q8×C61C2318yescomplemented
500#120×C61C2318yes—
501C4×D4×C61C2318yes—
502C4×D4×C61C2318yescomplemented
503#117×C61C2318yescomplemented
504#117×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×C22⋊C4×C61C2311yescharacteristic
514C2×C22⋊C4×C61C2311yescharacteristic
515C2×C22⋊C4×C61C2311yescharacteristic
516C2×C22⋊C4×C61C2311yescharacteristic
517C2×C22⋊C4×C61C2311yescharacteristic
518C2×C22⋊C4×C61C2311yescharacteristic
519C2×C22⋊C4×C61C2311yescharacteristic
520C2×C22⋊C4×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×C61C2318yescomplemented
528C2×C22⋊C4×C61C2318yescomplemented
529C2×C42×C61C2311yescharacteristic
530C2×C42×C61C2311yescharacteristic
531C2×C42×C61C2311yescharacteristic
532C24×C61—24no—
533C24×C61—42no—
534C24×C61—42no—
535C24×C61C2411yescharacteristic
536C24×C61C2411yescharacteristic
537C24×C61C2411yescharacteristic
538C24×C61C2411yescharacteristic
539C24×C61C2414yes—
540C23×D61—24no—
541C23×D61—42no—
542C23×D61—42no—
543C23×D61—42no—
544C23×D61—42no—
545C23×D61#4118yes—
546C23×D61C2411yescharacteristic
547C23×D61C2411yescharacteristic
548C23×D61C2411yescharacteristic
549C23×D61C2414yes—
550C23×D61C2414yes—
551C2×Q8×C61—42no—
552C2×Q8×C61C2414yes—
553C2×D4×C61—24no—
554C2×D4×C61—42no—
555C2×D4×C61—42no—
556C2×D4×C61C2414yes—
557C2×D4×C61C2414yes—
558C2×D4×C61C2414yes—
559C22×C4×C61—24no—
560C22×C4×C61—42no—
561C22×C4×C61—42no—
562C22×C4×C61—42no—
563C22×C4×C61—42no—
564C22×C4×C61C2411yescharacteristic
565C22×C4×C61C2411yescharacteristic
566C22×C4×C61C2411yescharacteristic
567C22×C4×C61C2414yes—
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—
580C2×C22⋊D61—24no—
581C2×C22⋊D61—24no—
582C2×C22⋊D61—24no—
583C2×C22⋊D61—24no—
584C2×C22⋊D61—24no—
585C2×C22⋊D61—24no—
586C2×C22⋊D61—232no—
587C2×C22⋊D61—42no—
588C2×C22⋊D61—42no—
589C2×C22⋊D61C2414yes—
590C2×C22⋊D61C2414yes—
591C2×C22⋊D61C2414yes—
592C2×C22⋊D61C2414yes—
593C2×C22⋊D61C2414yes—
594C2×C22⋊D61C2414yes—
595C2×C22⋊D61C2414yes—
596C2×C22⋊D61C2414yes—
597C22×Dic61—24no—
598C22×Dic61—24no—
599C22×Dic61—42no—
600C22×Dic61—42no—
601C22×Dic61—42no—
602C22×Dic61—42no—
603C22×Dic61C2411yescharacteristic
604C22×Dic61C2411yescharacteristic
605C22×Dic61C2411yescharacteristic
606C22×Dic61C2414yes—
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×Dic61C2414yes—
622D4×D61—232no—
623C2×D244—24no—
624C2×D244C2414yes—
625C2×C4×D61—24no—
626C2×C4×D61—24no—
627C2×C4×D61—24no—
628C2×C4×D61—24no—
629C2×C4×D61—232no—
630C2×C4×D61—24no—
631C2×C4×D61—42no—
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×D61C2414yes—
640C2×C4×D61C2414yes—
641C2×C4×D61C2414yes—
642C2×C4×D61C2414yes—
643C2×C4×D61C2414yes—
644C2×C4×D61C2414yes—
645C2×C4×D61C2414yes—
646C2×C4×D61C2414yes—
647C2×C4×D61C2414yes—
648C2×C4×D61C2414yes—
649C2×C4×D61C2414yes—
650C2×C4×D61C2414yes—
651C2×C4×D61C2414yes—
652C2×Dic122—42no—
653C2×Dic122—42no—
654C2×Dic122—42no—
655C2×Dic122C2414yes—
656C2×Dic122C2414yes—
657C2×Dic122C2414yes—
658C4⋊C4×C61C2414yes—
659C4⋊C4×C61C2414yes—
660C4⋊C4×C61C2414yes—
661C4⋊C4×C61C2414yes—
662C4⋊C4×C61C2414yes—
663C4⋊C4×C61C2414yes—
664C4⋊C4×C61C2414yes—
665C4⋊C4×C61C2414yes—
666C22⋊C4×C61C2414yes—
667C22⋊C4×C61C2414yes—
668C22⋊C4×C61C2414yes—
669C22⋊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—
697C22⋊Dic61C2414yes—
698C22⋊Dic61C2414yes—
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—
717C4⋊Dic61C2414yes—
718C4⋊Dic61C2414yes—
719C4⋊Dic61C2414yes—
720C4⋊Dic61C2414yes—
721C4⋊Dic61C2414yes—
722C4⋊Dic61C2414yes—
723C4⋊Dic61C2414yes—
724C4⋊Dic61C2414yes—
725C4⋊Dic61C2414yes—
726C4⋊Dic61C2414yes—
727C4⋊Dic61C2414yes—
728C4⋊Dic61C2414yes—
729C4⋊Dic61C2414yes—
730C4⋊Dic61C2414yes—
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—
755#11758196C2414yes—
756#11758196C2414yes—
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×C61—28no—
782C23×C61—44no—
783C23×C61—44no—
784C23×C61—88no—
785C23×C61C2×#4114yes—
786C23×C61C2512yes—
787C23×C61C2512yes—
788C23×C61C2512yes—
789C23×C61C2512yes—
790C23×C61C2511yescharacteristic
791C22×D61—22no—
792C22×D61—22no—
793C22×D61—22no—
794C22×D61—22no—
795C22×D61—22no—
796C22×D61—22no—
797C22×D61—22no—
798C22×D61—28no—
799C22×D61—416no—
800C22×D61—44no—
801C22×D61—44no—
802C22×D61—44no—
803C22×D61—44no—
804C22×D61—88no—
805C22×D61C2×#4114yes—
806C22×D61C2×#4114yes—
807C22×D61C2×#41116yes—
808C22×D61C2512yes—
809C22×D61C2512yes—
810C22×D61C2512yes—
811Q8×C61—44no—
812D4×C61—28no—
813D4×C61—44no—
814D4×C61—44no—
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—22no—
825C2×C4×C61—22no—
826C2×C4×C61—22no—
827C2×C4×C61—44no—
828C2×C4×C61—44no—
829C2×C4×C61—44no—
830C2×C4×C61—44no—
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—
841C2×C4×C61C2512yes—
842C22⋊D61—28no—
843C22⋊D61—28no—
844C22⋊D61—28no—
845C22⋊D61—28no—
846C22⋊D61—28no—
847C22⋊D61—28no—
848C22⋊D61—44no—
849C22⋊D61—44no—
850C2×Dic61—28no—
851C2×Dic61—22no—
852C2×Dic61—22no—
853C2×Dic61—22no—
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—22no—
864C2×Dic61—22no—
865C2×Dic61—44no—
866C2×Dic61—44no—
867C2×Dic61—44no—
868C2×Dic61—44no—
869C2×Dic61C2512yes—
870C2×Dic61C2512yes—
871C2×Dic61C2512yes—
872C2×Dic61C2512yes—
873C2×Dic61C2512yes—
874C2×Dic61C2512yes—
875C2×Dic61C2512yes—
876C2×Dic61C2512yes—
877C2×Dic61C2512yes—
878C2×Dic61C2512yes—
879C2×Dic61C2512yes—
880C2×Dic61C2512yes—
881C2×Dic61C2512yes—
882D244—28no—
883C4×D61—28no—
884C4×D61—28no—
885C4×D61—28no—
886C4×D61—28no—
887C4×D61—28no—
888C4×D61—44no—
889C4×D61—44no—
890C4×D61—44no—
891C4×D61—44no—
892C4×D61—44no—
893C4×D61—44no—
894C4×D61—44no—
895C4×D61—44no—
896Dic122—44no—
897Dic122—44no—
898Dic122—44no—
899C2×#3491—611nomaximal, Sylow
900C22×C61—22no—
901C22×C61—22no—
902C22×C61—28no—
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—22no—
912C22×C61—44no—
913C22×C61—44no—
914C22×C61—44no—
915C22×C61—88no—
916C22×C61C22×#4114yes—
917C22×C61C22×#4112yes—
918C22×C61#58512yes—
919C22×C61#58512yes—
920C22×C61C2611yescharacteristic
921C2×D61—22no—
922C2×D61—22no—
923C2×D61—22no—
924C2×D61—22no—
925C2×D61—28no—
926C2×D61—28no—
927C2×D61—22no—
928C2×D61—22no—
929C2×D61—22no—
930C2×D61—416no—
931C2×D61—44no—
932C2×D61—88no—
933C2×D61C22×#4114yes—
934C2×D61C22×#4114yes—
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—
945C4×C61—22no—
946Dic61—22no—
947Dic61—22no—
948Dic61—22no—
949Dic61—22no—
950Dic61—22no—
951Dic61—22no—
952Dic61—22no—
953Dic61—22no—
954Dic61—22no—
955Dic61—22no—
956Dic61—22no—
957Dic61—22no—
958Dic61—22no—
959#3491—6132no—
960C2×#552—611no—
961C2×#552—611no—
962C2×#552—611no—
963C2×#552—611no—
964C2×#552—611no—
965C2×#552—611no—
966C2×#552—611no—
967C2×#552—611no—
968C2×#551—611no—
969C2×#551—611no—
970C2×#551—611no—
971C2×#551—611no—
972C2×#551—611no—
973C2×#551—611no—
974C2×#551—611no—
975C2×#551D6111yescharacteristic, complemented
976C2×#543—611no—
977C2×#539—611no—
978C2×#539—611no—
979C2×#539—611no—
980C2×#539—611no—
981C2×#534—611no—
982C2×#529—611no—
983C2×#529—611no—
984C2×#529—611no—
985C2×#529—611no—
986C22×#123—611no—
987C22×#123—611no—
988C2×#518—611no—
989C2×#518—611no—
990C22×#117—611no—
991C2×C61—24no—
992C2×C61—42no—
993C2×C61—42no—
994C2×C61—42no—
995C2×C61#349114yescomplemented
996C2×C61C23×#4111yescharacteristic
997C2×C61C2×#58511yescharacteristic
998C2×C61C2×#58511yescharacteristic
999D61—24no—
1000D61—24no—
1001D61—42no—
1002C23×D4—611no—
1003C23×D4—611no—
1004C24×C4—611no—
1005#552—6116no—
1006#552—6116no—
1007#552—6116no—
1008#552—6116no—
1009#552—6116no—
1010#552—6116no—
1011#552—6116no—
1012#552—6116no—
1013#551—6116no—
1014#551—6116no—
1015#551—6116no—
1016#551—6116no—
1017#551—6116no—
1018#551—6116no—
1019#551—6116no—
1020#551C2×D61116yescomplemented
1021#543—6116no—
1022#539—6116no—
1023#539—6116no—
1024#539—6116no—
1025#539—6116no—
1026#534—6116no—
1027#529—6116no—
1028#529—6116no—
1029#529—6116no—
1030#529—6116no—
1031C2×#126—611no—
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×#126C2×D6111yescharacteristic, complemented
1046C2×#126C2×D6111yescharacteristic, complemented
1047C2×#125—611no—
1048C2×#125—611no—
1049C2×#125—611no—
1050C2×#125—611no—
1051C2×#125—611no—
1052C2×#125—611no—
1053C2×#125—611no—
1054C2×#125—611no—
1055C2×#125—611no—
1056C2×#125—611no—
1057C2×#125—611no—
1058C2×#125—611no—
1059C2×#124—611no—
1060C2×#124—611no—
1061C2×#124—611no—
1062C2×#124C2×D6111yescharacteristic, complemented
1063C2×#123—611no—
1064C2×#123—611no—
1065C2×#123—611no—
1066C2×#123—611no—
1067C2×#123—611no—
1068C2×#123—611no—
1069C2×#123—6116no—
1070C2×#123—611no—
1071C2×#123—611no—
1072C2×#123—611no—
1073C2×#123—611no—
1074C2×#123—611no—
1075C2×#123—611no—
1076C2×#123—611no—
1077C2×#123—611no—
1078C2×#123—611no—
1079C2×#123—611no—
1080C2×#123—611no—
1081C2×#123—611no—
1082C2×#123—611no—
1083C2×#123—611no—
1084C2×#123—611no—
1085C2×#123—611no—
1086C2×#123—611no—
1087C2×#123—611no—
1088C2×#123—611no—
1089C2×#123—6116no—
1090C2×#123C2×D6111yescharacteristic
1091C2×#123C2×D6111yescharacteristic, complemented
1092C2×#123C2×D6111yescharacteristic, complemented
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×C22⋊Q8—611no—
1105C2×C22⋊Q8—611no—
1106C2×C22⋊Q8—611no—
1107C2×C22⋊Q8—611no—
1108C2×C22⋊Q8—611no—
1109C2×C22⋊Q8—611no—
1110C2×C22⋊Q8—611no—
1111C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1112C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1113C2×#121—611no—
1114C2×#121—611no—
1115C2×#121—611no—
1116C2×#121—611no—
1117C2×#120—611no—
1118C2×#120—611no—
1119C2×#120—611no—
1120C2×#120C2×D6111yescharacteristic
1121#518—6116no—
1122#518—6116no—
1123C2×C4×Q8—611no—
1124C2×C4×Q8—611no—
1125C2×C4×Q8—611no—
1126C2×C4×Q8—611no—
1127C2×C4×D4—611no—
1128C2×C4×D4—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×D4C2×D6111yescharacteristic
1146C2×C4×D4C2×D6111yescharacteristic, complemented
1147C2×#117—611no—
1148C2×#117—611no—
1149C2×#117—611no—
1150C2×#117—6116no—
1151C2×#117—611no—
1152C2×#117—611no—
1153C2×#117—611no—
1154C2×#117—611no—
1155C2×#117—611no—
1156C2×#117—611no—
1157C2×#117—611no—
1158C2×#117—611no—
1159C2×#117—611no—
1160C2×#117—611no—
1161C2×#117—611no—
1162C2×#117—611no—
1163C2×#117—611no—
1164C2×#117—611no—
1165C2×#117—611no—
1166C2×#117C2×D6111yescharacteristic, complemented
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×C22⋊C4—611no—
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×C22⋊C4—611no—
1184C22×C22⋊C4C2×D6111yescharacteristic, complemented
1185C22×C22⋊C4C2×D6111yescharacteristic, complemented
1186C22×C42—611no—
1187C22×C42—611no—
1188C61C2×#349111yescharacteristic, complemented, Sylow
1189C25—611no—
1190C25—611no—
1191C25C22×D6111yescharacteristic
1192C22×Q8—611no—
1193C22×Q8—611no—
1194C22×Q8—611no—
1195C22×Q8C22×D6111yescharacteristic
1196C22×D4—611no—
1197C22×D4—611no—
1198C22×D4—611no—
1199C22×D4—611no—
1200C22×D4—611no—
1201C22×D4—611no—
1202C22×D4—618no—
1203C22×D4—611no—
1204C22×D4—611no—
1205C22×D4—618no—
1206C22×D4—611no—
1207C22×D4—1228no—
1208C22×D4—1228no—
1209C22×D4C22×D6111yescharacteristic
1210C22×D4C22×D6111yescharacteristic
1211C22×D4C22×D6111yescharacteristic
1212C23×C4—611no—
1213C23×C4—611no—
1214C23×C4—611no—
1215C23×C4—611no—
1216C23×C4—611no—
1217C23×C4—611no—
1218C23×C4—611no—
1219C23×C4—611no—
1220C23×C4—611no—
1221C23×C4—611no—
1222C23×C4—618no—
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—1228no—
1233C23×C4C22×D6111yescharacteristic
1234C23×C4C22×D6111yescharacteristic
1235C23×C4C22×D6111yescharacteristic
1236C23×C4C22×D6111yescharacteristic
1237C23×C4C22×D6111yescharacteristic
1238#126—618no—
1239#126—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#126C22×D6118yescomplemented
1253#126C22×D6118yescomplemented
1254#125—618no—
1255#125—618no—
1256#125—618no—
1257#125—618no—
1258#125—618no—
1259#125—618no—
1260#125—618no—
1261#125—618no—
1262#125—618no—
1263#125—618no—
1264#125—618no—
1265#125—618no—
1266#124—618no—
1267#124—618no—
1268#124—618no—
1269#124C22×D6118yescomplemented
1270#123—618no—
1271#123—618no—
1272#123—618no—
1273#123—618no—
1274#123—618no—
1275#123—618no—
1276#123—618no—
1277#123—618no—
1278#123—618no—
1279#123—618no—
1280#123—618no—
1281#123—618no—
1282#123—618no—
1283#123—618no—
1284#123—618no—
1285#123—618no—
1286#123—618no—
1287#123—618no—
1288#123—618no—
1289#123—618no—
1290#123—618no—
1291#123—618no—
1292#123—618no—
1293#123—618no—
1294#123—618no—
1295#123C22×D6118yes—
1296#123C22×D6118yescomplemented
1297#123C22×D6118yescomplemented
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—
1311C22⋊Q8—618no—
1312C22⋊Q8—618no—
1313C22⋊Q8—618no—
1314C22⋊Q8—618no—
1315C22⋊Q8—618no—
1316C22⋊Q8C22×D6118yescomplemented
1317C22⋊Q8C22×D6118yescomplemented
1318#121—618no—
1319#121—618no—
1320#121—618no—
1321#121—618no—
1322#120—618no—
1323#120—618no—
1324#120—618no—
1325#120C22×D6118yes—
1326C4×Q8—618no—
1327C4×Q8—618no—
1328C4×Q8—618no—
1329C4×Q8—618no—
1330C4×D4—618no—
1331C4×D4—618no—
1332C4×D4—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×D4C22×D6118yes—
1349C4×D4C22×D6118yescomplemented
1350#117—618no—
1351#117—618no—
1352#117—618no—
1353#117—618no—
1354#117—618no—
1355#117—618no—
1356#117—618no—
1357#117—618no—
1358#117—618no—
1359#117—618no—
1360#117—618no—
1361#117—618no—
1362#117—618no—
1363#117—618no—
1364#117—618no—
1365#117—618no—
1366#117—618no—
1367#117—618no—
1368#117C22×D6118yescomplemented
1369#117C22×D6118yescomplemented
1370C2×C4⋊C4—611no—
1371C2×C4⋊C4—611no—
1372C2×C4⋊C4—611no—
1373C2×C4⋊C4—611no—
1374C2×C4⋊C4—611no—
1375C2×C4⋊C4—611no—
1376C2×C4⋊C4—611no—
1377C2×C4⋊C4—611no—
1378C2×C4⋊C4—611no—
1379C2×C4⋊C4—611no—
1380C2×C4⋊C4—611no—
1381C2×C4⋊C4—611no—
1382C2×C4⋊C4—611no—
1383C2×C4⋊C4—611no—
1384C2×C4⋊C4—611no—
1385C2×C4⋊C4—611no—
1386C2×C4⋊C4—611no—
1387C2×C4⋊C4—611no—
1388C2×C4⋊C4—611no—
1389C2×C4⋊C4—611no—
1390C2×C4⋊C4—618no—
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—611no—
1412C2×C4⋊C4—618no—
1413C2×C4⋊C4—618no—
1414C2×C4⋊C4—618no—
1415C2×C4⋊C4—618no—
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×C22⋊C4—611no—
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—618no—
1434C2×C22⋊C4—611no—
1435C2×C22⋊C4—611no—
1436C2×C22⋊C4—611no—
1437C2×C22⋊C4—618no—
1438C2×C22⋊C4—611no—
1439C2×C22⋊C4—611no—
1440C2×C22⋊C4—611no—
1441C2×C22⋊C4—611no—
1442C2×C22⋊C4—611no—
1443C2×C22⋊C4—611no—
1444C2×C22⋊C4—611no—
1445C2×C22⋊C4—611no—
1446C2×C22⋊C4—611no—
1447C2×C22⋊C4—611no—
1448C2×C22⋊C4—611no—
1449C2×C22⋊C4—611no—
1450C2×C22⋊C4—611no—
1451C2×C22⋊C4—611no—
1452C2×C22⋊C4—611no—
1453C2×C22⋊C4—611no—
1454C2×C22⋊C4—611no—
1455C2×C22⋊C4—611no—
1456C2×C22⋊C4—618no—
1457C2×C22⋊C4—618no—
1458C2×C22⋊C4—611no—
1459C2×C22⋊C4—611no—
1460C2×C22⋊C4—611no—
1461C2×C22⋊C4—611no—
1462C2×C22⋊C4—618no—
1463C2×C22⋊C4—618no—
1464C2×C22⋊C4—618no—
1465C2×C22⋊C4—618no—
1466C2×C22⋊C4—618no—
1467C2×C22⋊C4—618no—
1468C2×C22⋊C4C22×D6111yescharacteristic
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×C22⋊C4C22×D6111yescharacteristic
1480C2×C22⋊C4C22×D6111yescharacteristic
1481C2×C22⋊C4C22×D6111yescharacteristic
1482C2×C22⋊C4C22×D6118yescomplemented
1483C2×C22⋊C4C22×D6118yescomplemented
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—611no—
1495C2×C42—611no—
1496C2×C42—611no—
1497C2×C42—618no—
1498C2×C42—618no—
1499C2×C42C22×D6111yescharacteristic
1500C2×C42C22×D6111yescharacteristic
1501C2×C42C22×D6111yescharacteristic
1502C24—24no—
1503C24—42no—
1504C24—42no—
1505C24—611no—
1506C24—611no—
1507C24—618no—
1508C24—614no—
1509C24—611no—
1510C24—614no—
1511C24—1224no—
1512C24—2442no—
1513C24—2442no—
1514C24—2442no—
1515C24—2442no—
1516C24C23×D6111yescharacteristic
1517C24C23×D6111yescharacteristic
1518C24C23×D6111yescharacteristic
1519C24C23×D6111yescharacteristic
1520C24C23×D6114yes—
1521C2×Q8—42no—
1522C2×Q8—614no—
1523C2×Q8—614no—
1524C2×Q8—614no—
1525C2×Q8—2442no—
1526C2×Q8—2442no—
1527C2×Q8—2442no—
1528C2×Q8C23×D6114yes—
1529C2×D4—24no—
1530C2×D4—42no—
1531C2×D4—42no—
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—1224no—
1542C2×D4—12232no—
1543C2×D4—1224no—
1544C2×D4—1224no—
1545C2×D4—1224no—
1546C2×D4—1224no—
1547C2×D4—1224no—
1548C2×D4—12232no—
1549C2×D4—1224no—
1550C2×D4—2442no—
1551C2×D4—2442no—
1552C2×D4C23×D6114yes—
1553C2×D4C23×D6114yes—
1554C2×D4C23×D6114yes—
1555C22×C4—24no—
1556C22×C4—42no—
1557C22×C4—42no—
1558C22×C4—42no—
1559C22×C4—42no—
1560C22×C4—614no—
1561C22×C4—614no—
1562C22×C4—611no—
1563C22×C4—611no—
1564C22×C4—611no—
1565C22×C4—611no—
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—614no—
1576C22×C4—614no—
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—1224no—
1593C22×C4—1224no—
1594C22×C4—1224no—
1595C22×C4—1224no—
1596C22×C4—12232no—
1597C22×C4—1224no—
1598C22×C4—1224no—
1599C22×C4—1224no—
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×C4—2442no—
1612C22×C4C23×D6114yes—
1613C22×C4C23×D6111yescharacteristic
1614C22×C4C23×D6111yescharacteristic
1615C22×C4C23×D6111yescharacteristic
1616C22×C4C23×D6111yescharacteristic
1617C22×C4C23×D6111yescharacteristic
1618C22×C4C23×D6111yescharacteristic
1619C22×C4C23×D6111yescharacteristic
1620C22×C4C23×D6111yescharacteristic
1621C22×C4C23×D6111yescharacteristic
1622C22×C4C23×D6111yescharacteristic
1623C22×C4C23×D6111yescharacteristic
1624C22×C4C23×D6114yes—
1625C22×C4C23×D6114yes—
1626C22×C4C23×D6114yes—
1627C22×C4C23×D6114yes—
1628C4⋊C4—614no—
1629C4⋊C4—614no—
1630C4⋊C4—614no—
1631C4⋊C4—614no—
1632C4⋊C4—614no—
1633C4⋊C4—614no—
1634C4⋊C4—614no—
1635C4⋊C4—614no—
1636C4⋊C4—614no—
1637C4⋊C4—614no—
1638C4⋊C4—614no—
1639C4⋊C4—614no—
1640C4⋊C4—614no—
1641C4⋊C4—614no—
1642C4⋊C4—614no—
1643C4⋊C4—614no—
1644C4⋊C4—614no—
1645C4⋊C4—614no—
1646C4⋊C4—614no—
1647C4⋊C4—614no—
1648C4⋊C4—614no—
1649C4⋊C4—614no—
1650C4⋊C4—614no—
1651C4⋊C4—614no—
1652C4⋊C4—614no—
1653C4⋊C4—614no—
1654C4⋊C4—614no—
1655C4⋊C4—614no—
1656C4⋊C4—614no—
1657C4⋊C4—614no—
1658C4⋊C4—614no—
1659C4⋊C4—614no—
1660C4⋊C4—614no—
1661C4⋊C4—614no—
1662C4⋊C4—614no—
1663C4⋊C4—614no—
1664C4⋊C4—614no—
1665C4⋊C4—614no—
1666C4⋊C4—614no—
1667C4⋊C4—614no—
1668C4⋊C4C23×D6114yes—
1669C4⋊C4C23×D6114yes—
1670C4⋊C4C23×D6114yes—
1671C4⋊C4C23×D6114yes—
1672C4⋊C4C23×D6114yes—
1673C4⋊C4C23×D6114yes—
1674C4⋊C4C23×D6114yes—
1675C4⋊C4C23×D6114yes—
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—
1720C22⋊C4C23×D6114yes—
1721C22⋊C4C23×D6114yes—
1722C22⋊C4C23×D6114yes—
1723C22⋊C4C23×D6114yes—
1724C42—614no—
1725C42—614no—
1726C42—614no—
1727C42—614no—
1728C42—614no—
1729C42—614no—
1730C42—614no—
1731C42—614no—
1732C42—614no—
1733C42—614no—
1734C42—614no—
1735C42—614no—
1736C42—614no—
1737C42C23×D6114yes—
1738C42C23×D6114yes—
1739C42C23×D6114yes—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—22no—
1747C23—22no—
1748C23—22no—
1749C23—22no—
1750C23—22no—
1751C23—28no—
1752C23—44no—
1753C23—44no—
1754C23—88no—
1755C23—614no—
1756C23—614no—
1757C23—612no—
1758C23—612no—
1759C23—6116no—
1760C23—612no—
1761C23—1228no—
1762C23—1222no—
1763C23—1222no—
1764C23—1222no—
1765C23—1222no—
1766C23—1222no—
1767C23—1222no—
1768C23—1222no—
1769C23—4888no—
1770C23—2444no—
1771C23—2444no—
1772C23—24416no—
1773C23—2444no—
1774C23—2444no—
1775C23#41×D6114yes—
1776C23C24×D6112yes—
1777C23C24×D6112yes—
1778C23C24×D6112yes—
1779C23C24×D6112yes—
1780C23C24×D6111yescharacteristic
1781Q8—44no—
1782Q8—2444no—
1783Q8—2444no—
1784Q8—2444no—
1785D4—28no—
1786D4—44no—
1787D4—44no—
1788D4—1228no—
1789D4—1228no—
1790D4—1228no—
1791D4—1228no—
1792D4—1228no—
1793D4—1228no—
1794D4—1228no—
1795D4—2444no—
1796D4—2444no—
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—22no—
1809C2×C4—44no—
1810C2×C4—44no—
1811C2×C4—44no—
1812C2×C4—44no—
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—1228no—
1832C2×C4—1222no—
1833C2×C4—1222no—
1834C2×C4—1228no—
1835C2×C4—1222no—
1836C2×C4—1222no—
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—1222no—
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×C4—2444no—
1856C2×C4—2444no—
1857C2×C4—2444no—
1858C2×C4C24×D6112yes—
1859C2×C4C24×D6112yes—
1860C2×C4C24×D6112yes—
1861C2×C4C24×D6112yes—
1862C2×C4C24×D6112yes—
1863C2×C4C24×D6112yes—
1864C2×C4C24×D6112yes—
1865C2×C4C24×D6112yes—
1866C2×C4C24×D6112yes—
1867C2×C4C24×D6112yes—
1868C2×C4C24×D6112yes—
1869C22—28no—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—22no—
1876C22—22no—
1877C22—22no—
1878C22—22no—
1879C22—22no—
1880C22—22no—
1881C22—44no—
1882C22—44no—
1883C22—44no—
1884C22—88no—
1885C22—614no—
1886C22—614no—
1887C22—1228no—
1888C22—1228no—
1889C22—1222no—
1890C22—1222no—
1891C22—1222no—
1892C22—1222no—
1893C22—1222no—
1894C22—1222no—
1895C22—1222no—
1896C22—4888no—
1897C22—24416no—
1898C22—2444no—
1899C22C2×#41×D6114yes—
1900C22C2×#41×D6112yes—
1901C22#1684059712yes—
1902C22#1684059812yes—
1903C22C25×D6111yescharacteristic
1904C4—22no—
1905C4—22no—
1906C4—22no—
1907C4—22no—
1908C4—22no—
1909C4—22no—
1910C4—22no—
1911C4—22no—
1912C4—22no—
1913C4—22no—
1914C4—22no—
1915C4—1222no—
1916C4—1222no—
1917C4—1222no—
1918C4—1222no—
1919C4—1222no—
1920C4—1222no—
1921C4—1222no—
1922C4—1222no—
1923C4—1222no—
1924C4—1222no—
1925C4—1222no—
1926C4—1222no—
1927C4—1222no—
1928C2—24no—
1929C2—42no—
1930C2—42no—
1931C2—42no—
1932C2—1224no—
1933C2—1224no—
1934C2—2442no—
1935C2#2145951014yesdirect product factor
1936C2C22×#41×D6111yescharacteristic
1937C2C2×#1684059711yescharacteristic
1938C2C2×#1684059811yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#551C2
socleC23×C61C25
prime radicalC2×#16840322C2
hypercenterC2×#551D61
hypocenterC61C2×#3491
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #21459510C2direct (N × H)
2. C2×#16840454C2semidirect
3. C2×#16840452C2semidirect
4. C2×#16840451C2semidirect
5. C2×#16840449C2semidirect
6. C2×#16840448C2semidirect
7. C2×#16840448C2semidirect
8. C2×#16840446C2semidirect
9. C2×#16840445C2semidirect
10. C2×#16840443C2semidirect
11. C2×#16840442C2semidirect
12. C2×#16840441C2semidirect
13. C2×#16840440C2semidirect
14. C2×#16840438C2semidirect
15. C2×#16840438C2semidirect
16. C2×#16840435C2semidirect
17. C2×#16840387C2semidirect
18. C2×#16840358C2semidirect
19. C2×#16840355C2semidirect
20. C2×#16840355C2semidirect
21. C2×#16840353C2semidirect
23. C2×#16840295C2semidirect
24. C2×#16840294C2semidirect
25. C2×#16840291C2semidirect
26. C2×#16840290C2semidirect
27. C22×#14519759C2semidirect
28. C2×#123×D61C2semidirect
29. C2×#16840235C2semidirect
30. C2×#16840234C2semidirect
31. C2×#117×D61C2semidirect
32. C2×C61×#551C2semidirect
36. #16840454C22semidirect
37. #16840452C22semidirect
38. #16840451C22semidirect
39. #16840449C22semidirect
40. #16840448C22semidirect
41. #16840448C22semidirect
42. #16840446C22semidirect
43. #16840445C22semidirect
44. #16840443C22semidirect
45. #16840442C22semidirect
46. #16840441C22semidirect
47. #16840440C22semidirect
48. #16840438C22semidirect
49. #16840438C22semidirect
50. #16840435C22semidirect
51. #16840387C22semidirect
52. #16840358C22semidirect
53. #16840355C22semidirect
54. #16840355C22semidirect
55. #16840353C22semidirect
57. #16840295C22semidirect
58. #16840294C22semidirect
59. #16840291C22semidirect
60. #16840290C22semidirect
61. C2×#14519772C22semidirect
62. C2×#14519772C22semidirect
63. C2×#14519772C22semidirect
64. C2×#14519771C22semidirect
65. C2×#14519770C22semidirect
66. C2×#14519770C22semidirect
67. C2×#14519770C22semidirect
68. C2×#14519770C22semidirect
69. C2×#14519770C22semidirect
70. C2×#14519770C22semidirect
71. C2×#14519770C22semidirect
72. C2×#14519770C22semidirect
73. C2×#14519770C22semidirect
74. C2×#14519770C22semidirect
75. C2×#14519769C22semidirect
76. C2×#14519769C22semidirect
77. C2×#14519768C22semidirect
78. C2×#14519768C22semidirect
79. C2×#14519768C22semidirect
80. C2×#14519768C22semidirect
81. C2×#14519767C22semidirect
82. C2×#14519767C22semidirect
83. C2×#14519767C22semidirect
84. C2×#14519767C22semidirect
85. C2×#14519767C22semidirect
86. C2×#14519767C22semidirect
87. C2×#14519764C22semidirect
88. C2×#14519763C22semidirect
89. C2×#14519763C22semidirect
90. C2×#14519762C22semidirect
91. C2×#14519762C22semidirect
94. C2×#14519761C22semidirect
96. C2×#14519760C22semidirect
103. C2×#14519759C22semidirect
104. C2×#14519759C22semidirect
105. C2×#14519759C22semidirect
106. C2×#14519759C22semidirect
107. C2×#14519759C22semidirect
108. C2×#14519759C22semidirect
109. C2×#14519759C22semidirect
110. C2×#14519759C22semidirect
111. C2×#14519759C22semidirect
114. C2×#14519758C22semidirect
115. C2×#14519758C22semidirect
116. #123×D61C22semidirect
117. C2×#14519757C22semidirect
118. C2×#14519757C22semidirect
119. C2×#14519756C22semidirect
120. C2×#14519756C22semidirect
121. C2×#14519756C22semidirect
122. C2×#14519755C22semidirect
123. C2×#14519755C22semidirect
124. C2×#14519755C22semidirect
125. C2×#14519755C22semidirect
126. C2×#14519755C22semidirect
127. C2×#14519754C22semidirect
128. C2×#14519754C22semidirect
129. C2×#14519754C22semidirect
130. C2×#14519754C22semidirect
131. C2×#14519754C22semidirect
132. C2×#14519753C22semidirect
133. C2×#14519753C22semidirect
134. C2×#14519753C22semidirect
142. #16840235C22semidirect
143. #16840234C22semidirect
144. C2×Q8×Dic61C22semidirect
145. C2×C4×Dic122C22semidirect
146. C2×C4×Dic122C22semidirect
147. C2×#14519742C22semidirect
148. C2×C4×D244C22semidirect
150. C2×D4×Dic61C22semidirect
151. C2×#14519739C22semidirect
155. C2×C4×C22⋊D61C22semidirect
156. C2×C4×C22⋊D61C22semidirect
157. C2×C4×C22⋊D61C22semidirect
158. C2×C4×C22⋊D61C22semidirect
162. C2×#14519737C22semidirect
163. C2×#14519737C22semidirect
164. C2×#14519737C22semidirect
165. C2×#14519737C22semidirect
166. C2×#14519736C22semidirect
167. C2×#14519736C22semidirect
168. C2×#14519736C22semidirect
169. C2×#14519735C22semidirect
170. C2×#14519735C22semidirect
171. C2×#14519735C22semidirect
172. C2×#14519735C22semidirect
173. C2×#14519734C22semidirect
174. C2×#14519734C22semidirect
175. C2×#14519734C22semidirect
176. C2×#14519734C22semidirect
177. C2×#14519733C22semidirect
178. C2×#14519733C22semidirect
179. C2×#14519733C22semidirect
180. C2×#14519733C22semidirect
181. C2×#14519733C22semidirect
182. C2×#14519733C22semidirect
183. C2×#14519733C22semidirect
184. #117×D61C22semidirect
185. C22×C4⋊Dic61C22semidirect
186. C22×#11758196C22semidirect
187. C2×C4⋊C4×D61C22semidirect
188. C2×C4⋊C4×D61C22semidirect
189. C2×C4⋊C4×D61C22semidirect
190. C2×C4⋊C4×D61C22semidirect
191. C22×C22⋊Dic61C22semidirect
192. C22×C22⋊Dic61C22semidirect
194. C22×#11758198C22semidirect
198. C2×C22⋊C4×D61C22semidirect
199. C2×C22⋊C4×D61C22semidirect
200. C2×C22⋊C4×D61C22semidirect
201. C2×C42×D61C22semidirect
202. C2×C42×D61C22semidirect
203. C61×#551C22semidirect
204. C2×#126×C61C22semidirect
205. C2×#126×C61C22semidirect
206. C2×#124×C61C22semidirect
208. C2×#123×C61C22semidirect
209. C2×#123×C61C22semidirect
210. C2×C22⋊Q8×C61C22semidirect
211. C2×C22⋊Q8×C61C22semidirect
214. C2×C4×D4×C61C22semidirect
215. C2×#117×C61C22semidirect
216. C2×#117×C61C22semidirect
217. C22×C22⋊C4×C61C22semidirect
218. C22×C22⋊C4×C61C22semidirect
258. #14519772C23semidirect
259. #14519772C23semidirect
260. #14519772C23semidirect
261. #14519771C23semidirect
262. #14519770C23semidirect
263. #14519770C23semidirect
264. #14519770C23semidirect
265. #14519770C23semidirect
266. #14519770C23semidirect
267. #14519770C23semidirect
268. #14519770C23semidirect
269. #14519770C23semidirect
270. #14519770C23semidirect
271. #14519770C23semidirect
272. #14519769C23semidirect
273. #14519769C23semidirect
274. #14519768C23semidirect
275. #14519768C23semidirect
276. #14519768C23semidirect
277. #14519768C23semidirect
278. #14519767C23semidirect
279. #14519767C23semidirect
280. #14519767C23semidirect
281. #14519767C23semidirect
282. #14519767C23semidirect
283. #14519767C23semidirect
284. #14519764C23semidirect
285. #14519763C23semidirect
286. #14519763C23semidirect
287. #14519762C23semidirect
288. #14519762C23semidirect
291. #14519761C23semidirect
293. #14519760C23semidirect
300. #14519759C23semidirect
301. #14519759C23semidirect
302. #14519759C23semidirect
303. #14519759C23semidirect
304. #14519759C23semidirect
305. #14519759C23semidirect
306. #14519759C23semidirect
307. #14519759C23semidirect
310. #14519758C23semidirect
311. #14519758C23semidirect
312. #14519757C23semidirect
313. #14519757C23semidirect
314. #14519756C23semidirect
315. #14519756C23semidirect
316. #14519756C23semidirect
317. #14519755C23semidirect
318. #14519755C23semidirect
319. #14519755C23semidirect
320. #14519755C23semidirect
321. #14519755C23semidirect
322. #14519754C23semidirect
323. #14519754C23semidirect
324. #14519754C23semidirect
325. #14519754C23semidirect
326. #14519754C23semidirect
327. #14519753C23semidirect
328. #14519753C23semidirect
329. #14519753C23semidirect
337. Q8×Dic61C23semidirect
338. C4×Dic122C23semidirect
339. C4×Dic122C23semidirect
340. #14519742C23semidirect
341. C4×D244C23semidirect
343. D4×Dic61C23semidirect
344. #14519739C23semidirect
348. C4×C22⋊D61C23semidirect
349. C4×C22⋊D61C23semidirect
350. C4×C22⋊D61C23semidirect
351. C4×C22⋊D61C23semidirect
355. #14519737C23semidirect
356. #14519737C23semidirect
357. #14519737C23semidirect
358. #14519737C23semidirect
359. #14519736C23semidirect
360. #14519736C23semidirect
361. #14519736C23semidirect
362. #14519735C23semidirect
363. #14519735C23semidirect
364. #14519735C23semidirect
365. #14519735C23semidirect
366. #14519734C23semidirect
367. #14519734C23semidirect
368. #14519734C23semidirect
369. #14519734C23semidirect
370. #14519733C23semidirect
371. #14519733C23semidirect
372. #14519733C23semidirect
373. #14519733C23semidirect
374. #14519733C23semidirect
375. #14519733C23semidirect
376. #14519733C23semidirect
391. C2×C4⋊Dic61C23semidirect
418. C2×#11758196C23semidirect
419. C4⋊C4×D61C23semidirect
420. C4⋊C4×D61C23semidirect
421. C4⋊C4×D61C23semidirect
422. C4⋊C4×D61C23semidirect
439. C2×C22⋊Dic61C23semidirect
440. C2×C22⋊Dic61C23semidirect
460. C2×#11758198C23semidirect
464. C22⋊C4×D61C23semidirect
465. C22⋊C4×D61C23semidirect
466. C22⋊C4×D61C23semidirect
480. C42×D61C23semidirect
481. C42×D61C23semidirect
492. #126×C61C23semidirect
493. #126×C61C23semidirect
494. #124×C61C23semidirect
496. #123×C61C23semidirect
497. #123×C61C23semidirect
498. C22⋊Q8×C61C23semidirect
499. C22⋊Q8×C61C23semidirect
502. C4×D4×C61C23semidirect
503. #117×C61C23semidirect
504. #117×C61C23semidirect
527. C2×C22⋊C4×C61C23semidirect
528. C2×C22⋊C4×C61C23semidirect
975. C2×#551D61semidirect
995. C2×C61#3491semidirect
1020. #551C2×D61semidirect
1045. C2×#126C2×D61semidirect
1046. C2×#126C2×D61semidirect
1062. C2×#124C2×D61semidirect
1091. C2×#123C2×D61semidirect
1092. C2×#123C2×D61semidirect
1111. C2×C22⋊Q8C2×D61semidirect
1112. C2×C22⋊Q8C2×D61semidirect
1146. C2×C4×D4C2×D61semidirect
1166. C2×#117C2×D61semidirect
1167. C2×#117C2×D61semidirect
1184. C22×C22⋊C4C2×D61semidirect
1185. C22×C22⋊C4C2×D61semidirect
1188. C61C2×#3491semidirect
1252. #126C22×D61semidirect
1253. #126C22×D61semidirect
1269. #124C22×D61semidirect
1296. #123C22×D61semidirect
1297. #123C22×D61semidirect
1316. C22⋊Q8C22×D61semidirect
1317. C22⋊Q8C22×D61semidirect
1349. C4×D4C22×D61semidirect
1368. #117C22×D61semidirect
1369. #117C22×D61semidirect
1482. C2×C22⋊C4C22×D61semidirect
1483. C2×C22⋊C4C22×D61semidirect
1935. C2#21459510direct (N × H)

Maximal subgroups

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

subgroupindex
#214595102
C2×#168404542
C2×#168404522
C2×#168404512
C2×#168404492
C2×#168404482
C2×#168404462
C2×#168404452
C2×#168404432
C2×#168404422
C2×#168404412
C2×#168404402
C2×#168404382
C2×#168404352
C2×#168403872
C2×#168403582
C2×#168403552
C2×#168403532
C2×#168403222
C2×#168402952
C2×#168402942
C2×#168402912
C2×#168402902
C22×#145197592
C2×#123×D612
C2×#168402352
C2×#168402342
C2×#117×D612
C2×C61×#5512
C2×#349161