Finite Group Databasebeta

← C2×#21459997 #30587188

Subgroups — C2×#21459997 #30587188

Order 15616.

8166 conjugacy classes of subgroups.

The subgroup lattice has 2164 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459997C2132yesmaximal, direct product factor
2C2×#16840507C211yesmaximal, characteristic, complemented
3C2×#16840507C211yesmaximal, characteristic, complemented
4C2×#16840501C211yesmaximal, characteristic, complemented
5C2×#16840499C211yesmaximal, characteristic, complemented
6C2×#16840461C211yesmaximal, characteristic, complemented
7C2×#16840455C211yesmaximal, characteristic, complemented
8C2×#16840443C211yesmaximal, characteristic, complemented
9C2×#16840441C211yesmaximal, characteristic, complemented
10C2×#16840406C211yesmaximal, characteristic, complemented
11C2×#16840406C211yesmaximal, characteristic, complemented
12C2×#16840406C211yesmaximal, characteristic, complemented
13C2×#16840401C211yesmaximal, characteristic, complemented
14C2×#16840399C211yesmaximal, characteristic, complemented
15C2×#16840399C211yesmaximal, characteristic, complemented
16C2×D4×C22⋊D61C211yesmaximal, characteristic, complemented
17C2×#16840366C211yesmaximal, characteristic, complemented
18C2×#16840362C211yesmaximal, characteristic, complemented
19C2×#16840357C211yesmaximal, characteristic, complemented
20C2×#16840354C211yesmaximal, characteristic, complemented
21C2×#16840354C211yesmaximal, characteristic, complemented
22C2×#16840347C211yesmaximal, characteristic, complemented
23C2×#16840347C211yesmaximal, characteristic, complemented
24C2×#16840344C211yesmaximal, characteristic, complemented
25C2×#16840339C211yesmaximal, characteristic, complemented
26C2×#16840322C211yesmaximal, characteristic, complemented
27C2×#16840321C211yesmaximal, characteristic, complemented
28C2×#16840321C211yesmaximal, characteristic, complemented
29C2×#16840268C211yesmaximal, characteristic, complemented
30C22×#14519758C211yesmaximal, characteristic, complemented
31C22×#14519749C211yesmaximal, characteristic, complemented
32C2×D42×C61C211yesmaximal, characteristic, complemented
33C22×#11758224C2211yescharacteristic, complemented
34C22×#11758224C2211yescharacteristic, complemented
35C22×#11758224C2211yescharacteristic, complemented
36C23×C22⋊D61C2211yescharacteristic, complemented
37C23×C22⋊D61C2211yescharacteristic, complemented
38C23×C22⋊D61C2211yescharacteristic, complemented
39C22×D4×D61C2211yescharacteristic, complemented
40C24×Dic61C2211yescharacteristic, complemented
41#16840507C22116yescomplemented
42#16840507C22116yescomplemented
43#16840501C22116yescomplemented
44#16840499C22116yescomplemented
45#16840461C22116yescomplemented
46#16840455C22116yescomplemented
47#16840443C22116yescomplemented
48#16840441C22116yescomplemented
49#16840406C22116yescomplemented
50#16840406C22116yescomplemented
51#16840406C22116yescomplemented
52#16840401C22116yescomplemented
53#16840399C22116yescomplemented
54#16840399C22116yescomplemented
55D4×C22⋊D61C22116yescomplemented
56#16840366C22116yescomplemented
57#16840362C22116yescomplemented
58#16840357C22116yescomplemented
59#16840354C22116yescomplemented
60#16840354C22116yescomplemented
61#16840347C22116yescomplemented
62#16840347C22116yescomplemented
63#16840344C22116yescomplemented
64#16840339C22116yescomplemented
65#16840322C22116yescomplemented
66#16840321C22116yescomplemented
67#16840321C22116yescomplemented
68C2×#14519773C2211yescharacteristic, complemented
69C2×#14519772C2211yescharacteristic, complemented
70C2×#14519771C2211yescharacteristic, complemented
71C2×#14519771C2211yescharacteristic, complemented
72C2×#14519770C2211yescharacteristic, complemented
73C2×#14519770C2211yescharacteristic, complemented
74C2×#14519770C2211yescharacteristic, complemented
75C2×#14519770C2211yescharacteristic, complemented
76C2×#14519770C2211yescharacteristic, complemented
77C2×#14519769C2211yescharacteristic, complemented
78C2×#14519767C2211yescharacteristic, complemented
79C2×#14519767C2211yescharacteristic, complemented
80C2×#14519767C2211yescharacteristic, complemented
81C2×#14519764C2211yescharacteristic, complemented
82C2×#14519764C2211yescharacteristic, complemented
83C2×#14519764C2211yescharacteristic, complemented
84C2×#14519763C2211yescharacteristic, complemented
85C2×#14519763C2211yescharacteristic, complemented
86C2×#14519763C2211yescharacteristic, complemented
87#16840268C22116yescomplemented
88C2×#14519762C2211yescharacteristic, complemented
89C2×#14519761C2211yescharacteristic, complemented
90C2×#14519761C2211yescharacteristic, complemented
91C2×#14519760C2211yescharacteristic, complemented
92C2×#14519760C2211yescharacteristic, complemented
93C2×#14519760C2211yescharacteristic, complemented
94C2×#14519760C2211yescharacteristic, complemented
95C2×#14519759C2211yescharacteristic, complemented
96C2×#14519759C2211yescharacteristic, complemented
97C2×#14519759C2211yescharacteristic, complemented
98C2×#14519759C2211yescharacteristic, complemented
99C2×#14519759C2211yescharacteristic, complemented
100C2×#14519758C2211yescharacteristic, complemented
101C2×#14519758C2211yescharacteristic, complemented
102C2×#14519758C2211yescharacteristic, complemented
103C2×#14519758C2211yescharacteristic, complemented
104C2×#14519758C2211yescharacteristic, complemented
105C2×#14519758C2211yescharacteristic, complemented
106C2×#14519758C2211yescharacteristic, complemented
107C2×#14519758C2211yescharacteristic, complemented
108C2×#14519758C2211yescharacteristic, complemented
109C2×#14519758C2211yescharacteristic, complemented
110C2×#14519758C2211yescharacteristic, complemented
111C2×#14519758C2211yescharacteristic, complemented
112C2×#14519758C2211yescharacteristic, complemented
113C2×#14519758C2211yescharacteristic, complemented
114C2×#14519758C2211yescharacteristic, complemented
115C2×#14519758C2211yescharacteristic, complemented
116C2×#14519758C22116yescomplemented
117C2×#14519756C2211yescharacteristic, complemented
118C2×#14519756C2211yescharacteristic, complemented
119C2×#14519756C2211yescharacteristic, complemented
120C2×#14519755C2211yescharacteristic, complemented
121C2×#14519755C2211yescharacteristic, complemented
122C2×#14519755C2211yescharacteristic, complemented
123C2×#14519754C2211yescharacteristic, complemented
124C2×#14519754C2211yescharacteristic, complemented
125C2×#14519754C2211yescharacteristic, complemented
126C2×#14519754C2211yescharacteristic, complemented
127C2×#14519754C2211yescharacteristic, complemented
128C2×#14519754C2211yescharacteristic, complemented
129C2×#14519751C2211yescharacteristic, complemented
130C2×#14519750C2211yescharacteristic, complemented
131C2×#14519750C2211yescharacteristic, complemented
132C2×#14519750C2211yescharacteristic, complemented
133C2×#14519749C2211yescharacteristic
134C2×#14519749C2211yescharacteristic
135C2×#14519749C2211yescharacteristic, complemented
136C2×#14519749C2211yescharacteristic, complemented
137C2×#14519749C2211yescharacteristic, complemented
138C2×#14519749C2211yescharacteristic, complemented
139C2×#14519749C2211yescharacteristic, complemented
140C2×#14519749C2211yescharacteristic, complemented
141C2×#14519749C2211yescharacteristic, complemented
142C2×#14519749C2211yescharacteristic, complemented
143C2×#14519749C2211yescharacteristic, complemented
144C2×#14519749C2211yescharacteristic, complemented
145C2×#14519749C2211yescharacteristic, complemented
146C2×#14519749C2211yescharacteristic, complemented
147C2×#14519749C2211yescharacteristic, complemented
148C2×#14519749C2211yescharacteristic, complemented
149C2×#14519749C2211yescharacteristic, complemented
150C2×#14519749C2211yescharacteristic, complemented
151C2×#14519749C2211yescharacteristic, complemented
152C2×#14519749C2211yescharacteristic, complemented
153C2×#14519749C2211yescharacteristic, complemented
154C2×#14519749C2211yescharacteristic, complemented
155C2×#14519749C22116yescomplemented
156C2×#14519748C2211yescharacteristic, complemented
157C2×#14519748C2211yescharacteristic, complemented
158C2×#14519748C2211yescharacteristic, complemented
159C2×#14519748C2211yescharacteristic, complemented
160C2×#14519748C2211yescharacteristic, complemented
161C2×#14519748C2211yescharacteristic, complemented
162C2×#14519746C2211yescharacteristic, complemented
163C2×#14519746C2211yescharacteristic, complemented
164C2×#14519746C2211yescharacteristic, complemented
165C2×#14519746C2211yescharacteristic, complemented
166C2×#14519746C2211yescharacteristic, complemented
167C2×#14519746C2211yescharacteristic, complemented
168C2×#14519745C2211yescharacteristic
169C2×#14519745C2211yescharacteristic, complemented
170C2×#14519745C2211yescharacteristic, complemented
171C2×#14519745C2211yescharacteristic, complemented
172C2×#14519745C2211yescharacteristic, complemented
173C2×#14519745C2211yescharacteristic, complemented
174C2×D4×Dic61C2211yescharacteristic, complemented
175C2×D4×Dic61C2211yescharacteristic, complemented
176C2×D4×Dic61C2211yescharacteristic, complemented
177C2×D4×Dic61C2211yescharacteristic, complemented
178C2×D4×Dic61C2211yescharacteristic, complemented
179C2×D4×Dic61C2211yescharacteristic, complemented
180C2×C4×C22⋊D61C2211yescharacteristic, complemented
181C2×C4×C22⋊D61C2211yescharacteristic, complemented
182C2×C4×C22⋊D61C2211yescharacteristic, complemented
183C2×C4×C22⋊D61C2211yescharacteristic, complemented
184C2×#14519737C2211yescharacteristic, complemented
185C2×#14519737C2211yescharacteristic, complemented
186C2×#14519737C2211yescharacteristic, complemented
187C2×#14519737C2211yescharacteristic, complemented
188C2×#14519734C2211yescharacteristic, complemented
189C2×#14519733C2211yescharacteristic, complemented
190C2×#14519733C2211yescharacteristic, complemented
191C22×#11758196C2211yescharacteristic, complemented
192C22×#11758196C2211yescharacteristic, complemented
193C22×#11758196C2211yescharacteristic, complemented
194C22×C22⋊Dic61C2211yescharacteristic, complemented
195C22×C22⋊Dic61C2211yescharacteristic, complemented
196C22×C22⋊Dic61C2211yescharacteristic, complemented
197C22×C22⋊Dic61C2211yescharacteristic, complemented
198C22×C22⋊Dic61C2211yescharacteristic, complemented
199C22×C22⋊Dic61C2211yescharacteristic, complemented
200C22×#11758198C2211yescharacteristic, complemented
201C2×C22⋊C4×D61C2211yescharacteristic, complemented
202C2×C22⋊C4×D61C2211yescharacteristic, complemented
203C23×D4×C61C2211yescharacteristic
204C23×D4×C61C2211yescharacteristic, complemented
205C23×D4×C61C2211yescharacteristic, complemented
206C23×D4×C61C2211yescharacteristic, complemented
207D42×C61C22116yescomplemented
208C2×#127×C61C2211yescharacteristic, complemented
209C2×#121×C61C2211yescharacteristic
210C2×#121×C61C2211yescharacteristic, complemented
211C2×#121×C61C2211yescharacteristic, complemented
212C2×#121×C61C2211yescharacteristic, complemented
213C2×#120×C61C2211yescharacteristic
214C2×#120×C61C2211yescharacteristic, complemented
215C2×#120×C61C2211yescharacteristic, complemented
216C2×#120×C61C2211yescharacteristic, complemented
217C2×C4×D4×C61C2211yescharacteristic, complemented
218C2×C4×D4×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C24×D61C2311yescharacteristic
221C2×#11758224—44no—
222C2×#11758224—44no—
223C2×#11758224—44no—
224C2×#11758224C2318yescomplemented
225C2×#11758224C2318yescomplemented
226C2×#11758224C2318yescomplemented
227C22×Dic122C2311yescharacteristic
228C22×Dic122C2311yescharacteristic
229C22×Dic122C2311yescharacteristic
230C22×D244C2311yescharacteristic
231C22×C22⋊D61—44no—
232C22×C22⋊D61—44no—
233C22×C22⋊D61—44no—
234C22×C22⋊D61C2311yescharacteristic
235C22×C22⋊D61C2311yescharacteristic
236C22×C22⋊D61C2311yescharacteristic
237C22×C22⋊D61C2311yescharacteristic
238C22×C22⋊D61C2311yescharacteristic
239C22×C22⋊D61C2311yescharacteristic
240C22×C22⋊D61C2311yescharacteristic
241C22×C22⋊D61C2311yescharacteristic
242C22×C22⋊D61C2311yescharacteristic
243C22×C22⋊D61C2311yescharacteristic
244C22×C22⋊D61C2311yescharacteristic
245C22×C22⋊D61C2311yescharacteristic
246C22×C22⋊D61C2311yescharacteristic
247C22×C22⋊D61C2311yescharacteristic
248C22×C22⋊D61C2311yescharacteristic
249C22×C22⋊D61C2311yescharacteristic
250C22×C22⋊D61C2311yescharacteristic
251C22×C22⋊D61C2311yescharacteristic
252C22×C22⋊D61C2311yescharacteristic
253C22×C22⋊D61C2311yescharacteristic
254C22×C22⋊D61C2318yescomplemented
255C22×C22⋊D61C2318yescomplemented
256C22×C22⋊D61C2318yescomplemented
257C2×D4×D61—44no—
258C2×D4×D61C2318yescomplemented
259C23×Dic61—44no—
260C23×Dic61C2311yescharacteristic
261C23×Dic61C2311yescharacteristic
262C23×Dic61C2311yescharacteristic
263C23×Dic61C2311yescharacteristic
264C23×Dic61C2311yescharacteristic
265C23×Dic61C2311yescharacteristic
266C23×Dic61C2311yescharacteristic
267C23×Dic61C2311yescharacteristic
268C23×Dic61C2311yescharacteristic
269C23×Dic61C2311yescharacteristic
270C23×Dic61C2311yescharacteristic
271C23×Dic61C2311yescharacteristic
272C23×Dic61C2311yescharacteristic
273C23×Dic61C2311yescharacteristic
274C23×Dic61C2318yescomplemented
275C22×C4×D61C2311yescharacteristic
276C22×C4×D61C2311yescharacteristic
277C22×C4×D61C2311yescharacteristic
278C22×C4×D61C2311yescharacteristic
279C22×C4×D61C2311yescharacteristic
280#14519773C2318yescomplemented
281#14519772C2318yescomplemented
282#14519771C2318yescomplemented
283#14519771C2318yescomplemented
284#14519770C2318yescomplemented
285#14519770C2318yescomplemented
286#14519770C2318yescomplemented
287#14519770C2318yescomplemented
288#14519770C2318yescomplemented
289#14519769C2318yescomplemented
290#14519767C2318yescomplemented
291#14519767C2318yescomplemented
292#14519767C2318yescomplemented
293#14519764C2318yescomplemented
294#14519764C2318yescomplemented
295#14519764C2318yescomplemented
296#14519763C2318yescomplemented
297#14519763C2318yescomplemented
298#14519763C2318yescomplemented
299#14519762C2318yescomplemented
300#14519761C2318yescomplemented
301#14519761C2318yescomplemented
302#14519760C2318yescomplemented
303#14519760C2318yescomplemented
304#14519760C2318yescomplemented
305#14519760C2318yescomplemented
306#14519759C2318yescomplemented
307#14519759C2318yescomplemented
308#14519759C2318yescomplemented
309#14519759C2318yescomplemented
310#14519759C2318yescomplemented
311#14519758C2318yescomplemented
312#14519758C2318yescomplemented
313#14519758C2318yescomplemented
314#14519758C2318yescomplemented
315#14519758C2318yescomplemented
316#14519758C2318yescomplemented
317#14519758C2318yescomplemented
318#14519758C2318yescomplemented
319#14519758C2318yescomplemented
320#14519758C2318yescomplemented
321#14519758C2318yescomplemented
322#14519758C2318yescomplemented
323#14519758C2318yescomplemented
324#14519758C2318yescomplemented
325#14519758C2318yescomplemented
326#14519758C2318yescomplemented
327#14519756C2318yescomplemented
328#14519756C2318yescomplemented
329#14519756C2318yescomplemented
330#14519755C2318yescomplemented
331#14519755C2318yescomplemented
332#14519755C2318yescomplemented
333#14519754C2318yescomplemented
334#14519754C2318yescomplemented
335#14519754C2318yescomplemented
336#14519754C2318yescomplemented
337#14519754C2318yescomplemented
338#14519754C2318yescomplemented
339#14519751C2318yescomplemented
340#14519750C2318yescomplemented
341#14519750C2318yescomplemented
342#14519750C2318yescomplemented
343#14519749C2318yes—
344#14519749C2318yes—
345#14519749C2318yescomplemented
346#14519749C2318yescomplemented
347#14519749C2318yescomplemented
348#14519749C2318yescomplemented
349#14519749C2318yescomplemented
350#14519749C2318yescomplemented
351#14519749C2318yescomplemented
352#14519749C2318yescomplemented
353#14519749C2318yescomplemented
354#14519749C2318yescomplemented
355#14519749C2318yescomplemented
356#14519749C2318yescomplemented
357#14519749C2318yescomplemented
358#14519749C2318yescomplemented
359#14519749C2318yescomplemented
360#14519749C2318yescomplemented
361#14519749C2318yescomplemented
362#14519749C2318yescomplemented
363#14519749C2318yescomplemented
364#14519749C2318yescomplemented
365#14519748C2318yescomplemented
366#14519748C2318yescomplemented
367#14519748C2318yescomplemented
368#14519748C2318yescomplemented
369#14519748C2318yescomplemented
370#14519748C2318yescomplemented
371#14519746C2318yescomplemented
372#14519746C2318yescomplemented
373#14519746C2318yescomplemented
374#14519746C2318yescomplemented
375#14519746C2318yescomplemented
376#14519746C2318yescomplemented
377#14519745C2318yes—
378#14519745C2318yescomplemented
379#14519745C2318yescomplemented
380#14519745C2318yescomplemented
381#14519745C2318yescomplemented
382#14519745C2318yescomplemented
383D4×Dic61C2318yescomplemented
384D4×Dic61C2318yescomplemented
385D4×Dic61C2318yescomplemented
386D4×Dic61C2318yescomplemented
387D4×Dic61C2318yescomplemented
388D4×Dic61C2318yescomplemented
389C4×C22⋊D61C2318yescomplemented
390C4×C22⋊D61C2318yescomplemented
391C4×C22⋊D61C2318yescomplemented
392C4×C22⋊D61C2318yescomplemented
393#14519737C2318yescomplemented
394#14519737C2318yescomplemented
395#14519737C2318yescomplemented
396#14519737C2318yescomplemented
397#14519734C2318yescomplemented
398#14519733C2318yescomplemented
399#14519733C2318yescomplemented
400C2×C4⋊Dic61C2311yescharacteristic
401C2×C4⋊Dic61C2311yescharacteristic
402C2×C4⋊Dic61C2311yescharacteristic
403C2×C4⋊Dic61C2311yescharacteristic
404C2×C4⋊Dic61C2311yescharacteristic
405C2×C4⋊Dic61C2311yescharacteristic
406C2×#11758196C2311yescharacteristic
407C2×#11758196C2311yescharacteristic
408C2×#11758196C2311yescharacteristic
409C2×#11758196C2311yescharacteristic
410C2×#11758196C2311yescharacteristic
411C2×#11758196C2311yescharacteristic
412C2×#11758196C2311yescharacteristic
413C2×#11758196C2311yescharacteristic
414C2×#11758196C2311yescharacteristic
415C2×#11758196C2311yescharacteristic
416C2×#11758196C2311yescharacteristic
417C2×#11758196C2311yescharacteristic
418C2×#11758196C2311yescharacteristic
419C2×#11758196C2311yescharacteristic
420C2×#11758196C2311yescharacteristic
421C2×#11758196C2311yescharacteristic
422C2×#11758196C2311yescharacteristic
423C2×#11758196C2311yescharacteristic
424C2×#11758196C2311yescharacteristic
425C2×#11758196C2311yescharacteristic
426C2×#11758196C2311yescharacteristic
427C2×#11758196C2311yescharacteristic
428C2×#11758196C2318yescomplemented
429C2×#11758196C2318yescomplemented
430C2×#11758196C2318yescomplemented
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⋊Dic61C2311yescharacteristic
440C2×C22⋊Dic61C2311yescharacteristic
441C2×C22⋊Dic61C2311yescharacteristic
442C2×C22⋊Dic61C2311yescharacteristic
443C2×C22⋊Dic61C2311yescharacteristic
444C2×C22⋊Dic61C2311yescharacteristic
445C2×C22⋊Dic61C2311yescharacteristic
446C2×C22⋊Dic61C2311yescharacteristic
447C2×C22⋊Dic61C2311yescharacteristic
448C2×C22⋊Dic61C2311yescharacteristic
449C2×C22⋊Dic61C2311yescharacteristic
450C2×C22⋊Dic61C2311yescharacteristic
451C2×C22⋊Dic61C2311yescharacteristic
452C2×C22⋊Dic61C2311yescharacteristic
453C2×C22⋊Dic61C2311yescharacteristic
454C2×C22⋊Dic61C2311yescharacteristic
455C2×C22⋊Dic61C2311yescharacteristic
456C2×C22⋊Dic61C2311yescharacteristic
457C2×C22⋊Dic61C2311yescharacteristic
458C2×C22⋊Dic61C2311yescharacteristic
459C2×C22⋊Dic61C2318yescomplemented
460C2×C22⋊Dic61C2318yescomplemented
461C2×C22⋊Dic61C2318yescomplemented
462C2×C22⋊Dic61C2318yescomplemented
463C2×C22⋊Dic61C2318yescomplemented
464C2×C22⋊Dic61C2318yescomplemented
465C2×#11758198C2311yescharacteristic
466C2×#11758198C2311yescharacteristic
467C2×#11758198C2311yescharacteristic
468C2×#11758198C2311yescharacteristic
469C2×#11758198C2311yescharacteristic
470C2×#11758198C2311yescharacteristic
471C2×#11758198C2311yescharacteristic
472C2×#11758198C2311yescharacteristic
473C2×#11758198C2311yescharacteristic
474C2×#11758198C2311yescharacteristic
475C2×#11758198C2311yescharacteristic
476C2×#11758198C2311yescharacteristic
477C2×#11758198C2311yescharacteristic
478C2×#11758198C2311yescharacteristic
479C2×#11758198C2318yescomplemented
480C22⋊C4×D61C2318yescomplemented
481C22⋊C4×D61C2318yescomplemented
482C2×C4×Dic61C2311yescharacteristic
483C2×C4×Dic61C2311yescharacteristic
484C2×C4×Dic61C2311yescharacteristic
485C2×C4×Dic61C2311yescharacteristic
486C2×C4×Dic61C2311yescharacteristic
487C25×C61C2311yescharacteristic
488C25×C61C2311yescharacteristic
489C25×C61C2311yescharacteristic
490C25×C61C2311yescharacteristic
491C22×D4×C61—44no—
492C22×D4×C61—44no—
493C22×D4×C61—44no—
494C22×D4×C61—44no—
495C22×D4×C61C2311yescharacteristic
496C22×D4×C61C2311yescharacteristic
497C22×D4×C61C2311yescharacteristic
498C22×D4×C61C2311yescharacteristic
499C22×D4×C61C2311yescharacteristic
500C22×D4×C61C2311yescharacteristic
501C22×D4×C61C2311yescharacteristic
502C22×D4×C61C2311yescharacteristic
503C22×D4×C61C2311yescharacteristic
504C22×D4×C61C2311yescharacteristic
505C22×D4×C61C2311yescharacteristic
506C22×D4×C61C2311yescharacteristic
507C22×D4×C61C2318yes—
508C22×D4×C61C2311yescharacteristic
509C22×D4×C61C2311yescharacteristic
510C22×D4×C61C2311yescharacteristic
511C22×D4×C61C2311yescharacteristic
512C22×D4×C61C2318yescomplemented
513C22×D4×C61C2318yescomplemented
514C22×D4×C61C2318yescomplemented
515C23×C4×C61C2311yescharacteristic
516C23×C4×C61C2311yescharacteristic
517C23×C4×C61C2311yescharacteristic
518C23×C4×C61C2311yescharacteristic
519#127×C61C2318yescomplemented
520#121×C61C2318yes—
521#121×C61C2318yescomplemented
522#121×C61C2318yescomplemented
523#121×C61C2318yescomplemented
524#120×C61C2318yes—
525#120×C61C2318yescomplemented
526#120×C61C2318yescomplemented
527#120×C61C2318yescomplemented
528C4×D4×C61C2318yescomplemented
529C4×D4×C61C2318yescomplemented
530C2×C4⋊C4×C61C2311yescharacteristic
531C2×C4⋊C4×C61C2311yescharacteristic
532C2×C22⋊C4×C61C2311yescharacteristic
533C2×C22⋊C4×C61C2311yescharacteristic
534C2×C22⋊C4×C61C2311yescharacteristic
535C2×C22⋊C4×C61C2311yescharacteristic
536C2×C22⋊C4×C61C2311yescharacteristic
537C2×C22⋊C4×C61C2311yescharacteristic
538C2×C22⋊C4×C61C2311yescharacteristic
539C2×C22⋊C4×C61C2311yescharacteristic
540C2×C42×C61C2311yescharacteristic
541C24×C61—24no—
542C24×C61—24no—
543C24×C61—24no—
544C24×C61—24no—
545C24×C61—42no—
546C24×C61—42no—
547C24×C61—42no—
548C24×C61—42no—
549C24×C61—42no—
550C24×C61—42no—
551C24×C61—42no—
552C24×C61—42no—
553C24×C61C2411yescharacteristic
554C24×C61C2411yescharacteristic
555C24×C61C2411yescharacteristic
556C24×C61C2411yescharacteristic
557C24×C61C2411yescharacteristic
558C24×C61C2411yescharacteristic
559C24×C61C2414yes—
560C24×C61C2411yescharacteristic
561C24×C61C2411yescharacteristic
562C24×C61C2414yes—
563C24×C61C2414yes—
564C24×C61C2414yes—
565C23×D61—24no—
566C23×D61—42no—
567C23×D61—42no—
568C23×D61—42no—
569C23×D61—42no—
570C23×D61—42no—
571C23×D61C2411yescharacteristic
572C23×D61C2411yescharacteristic
573C23×D61C2411yescharacteristic
574C23×D61C2414yes—
575C23×D61C2414yes—
576C2×D4×C61—24no—
577C2×D4×C61—24no—
578C2×D4×C61—24no—
579C2×D4×C61—24no—
580C2×D4×C61—24no—
581C2×D4×C61—24no—
582C2×D4×C61—42no—
583C2×D4×C61—42no—
584C2×D4×C61—42no—
585C2×D4×C61—42no—
586C2×D4×C61—42no—
587C2×D4×C61—42no—
588C2×D4×C61—42no—
589C2×D4×C61—42no—
590C2×D4×C61—42no—
591C2×D4×C61—42no—
592C2×D4×C61—416no—
593C2×D4×C61—416no—
594C2×D4×C61—416no—
595C2×D4×C61—416no—
596C2×D4×C61C2414yes—
597C2×D4×C61C2414yes—
598C2×D4×C61C2414yes—
599C2×D4×C61C2414yes—
600C2×D4×C61C2414yes—
601C2×D4×C61C2414yes—
602C2×D4×C61C2414yes—
603C2×D4×C61C2414yes—
604C2×D4×C61C2414yes—
605C2×D4×C61C2414yes—
606C2×D4×C61C2414yes—
607C2×D4×C61C2414yes—
608C2×D4×C61C2414yes—
609C2×D4×C61C2414yes—
610C2×D4×C61C2414yes—
611C2×D4×C61C2414yes—
612C22×C4×C61—42no—
613C22×C4×C61—42no—
614C22×C4×C61—42no—
615C22×C4×C61—42no—
616C22×C4×C61C2411yescharacteristic
617C22×C4×C61C2411yescharacteristic
618C22×C4×C61C2411yescharacteristic
619C22×C4×C61C2411yescharacteristic
620C22×C4×C61C2411yescharacteristic
621C22×C4×C61C2411yescharacteristic
622C22×C4×C61C2411yescharacteristic
623C22×C4×C61C2414yes—
624C22×C4×C61C2414yes—
625C22×C4×C61C2414yes—
626C22×C4×C61C2414yes—
627C2×C22⋊D61—24no—
628C2×C22⋊D61—24no—
629C2×C22⋊D61—24no—
630C2×C22⋊D61—24no—
631C2×C22⋊D61—42no—
632C2×C22⋊D61—42no—
633C2×C22⋊D61—42no—
634C2×C22⋊D61—42no—
635C2×C22⋊D61—42no—
636C2×C22⋊D61—42no—
637C2×C22⋊D61—42no—
638C2×C22⋊D61—42no—
639C2×C22⋊D61—42no—
640C2×C22⋊D61—416no—
641C2×C22⋊D61—42no—
642C2×C22⋊D61—42no—
643C2×C22⋊D61—42no—
644C2×C22⋊D61—42no—
645C2×C22⋊D61—42no—
646C2×C22⋊D61—42no—
647C2×C22⋊D61—42no—
648C2×C22⋊D61—416no—
649C2×C22⋊D61—416no—
650C2×C22⋊D61C2414yes—
651C2×C22⋊D61C2414yes—
652C2×C22⋊D61C2414yes—
653C2×C22⋊D61C2414yes—
654C2×C22⋊D61C2414yes—
655C2×C22⋊D61C2414yes—
656C2×C22⋊D61C2414yes—
657C2×C22⋊D61C2414yes—
658C2×C22⋊D61C2414yes—
659C2×C22⋊D61C2414yes—
660C2×C22⋊D61C2414yes—
661C2×C22⋊D61C2414yes—
662C2×C22⋊D61C2414yes—
663C2×C22⋊D61C2414yes—
664C2×C22⋊D61C2414yes—
665C2×C22⋊D61C2414yes—
666C2×C22⋊D61C2414yes—
667C2×C22⋊D61C2414yes—
668C2×C22⋊D61C2414yes—
669C2×C22⋊D61C2414yes—
670C22×Dic61—24no—
671C22×Dic61—24no—
672C22×Dic61—24no—
673C22×Dic61—42no—
674C22×Dic61—42no—
675C22×Dic61—42no—
676C22×Dic61—42no—
677C22×Dic61—416no—
678C22×Dic61—42no—
679C22×Dic61—42no—
680C22×Dic61—42no—
681C22×Dic61—42no—
682C22×Dic61—42no—
683C22×Dic61—42no—
684C22×Dic61—42no—
685C22×Dic61C2411yescharacteristic
686C22×Dic61C2411yescharacteristic
687C22×Dic61C2411yescharacteristic
688C22×Dic61C2411yescharacteristic
689C22×Dic61C2411yescharacteristic
690C22×Dic61C2411yescharacteristic
691C22×Dic61C2411yescharacteristic
692C22×Dic61C2411yescharacteristic
693C22×Dic61C2411yescharacteristic
694C22×Dic61C2411yescharacteristic
695C22×Dic61C2411yescharacteristic
696C22×Dic61C2411yescharacteristic
697C22×Dic61C2414yes—
698C22×Dic61C2414yes—
699C22×Dic61C2411yescharacteristic
700C22×Dic61C2414yes—
701C22×Dic61C2414yes—
702C22×Dic61C2414yes—
703C22×Dic61C2414yes—
704C22×Dic61C2414yes—
705C22×Dic61C2414yes—
706C22×Dic61C2414yes—
707C22×Dic61C2414yes—
708C22×Dic61C2414yes—
709C22×Dic61C2414yes—
710C22×Dic61C2414yes—
711C22×Dic61C2414yes—
712#11758224—416no—
713#11758224—416no—
714#11758224—416no—
715D4×D61—416no—
716C2×D244—42no—
717C2×D244C2414yes—
718C2×C4×D61—42no—
719C2×C4×D61—42no—
720C2×C4×D61—42no—
721C2×C4×D61—42no—
722C2×C4×D61—42no—
723C2×C4×D61C2414yes—
724C2×C4×D61C2414yes—
725C2×C4×D61C2414yes—
726C2×C4×D61C2414yes—
727C2×C4×D61C2414yes—
728C2×Dic122—42no—
729C2×Dic122—42no—
730C2×Dic122—42no—
731C2×Dic122C2414yes—
732C2×Dic122C2414yes—
733C2×Dic122C2414yes—
734C4⋊C4×C61C2414yes—
735C4⋊C4×C61C2414yes—
736C22⋊C4×C61C2414yes—
737C22⋊C4×C61C2414yes—
738C22⋊C4×C61C2414yes—
739C22⋊C4×C61C2414yes—
740C22⋊C4×C61C2414yes—
741C22⋊C4×C61C2414yes—
742C22⋊C4×C61C2414yes—
743C22⋊C4×C61C2414yes—
744C42×C61C2414yes—
745C22⋊Dic61C2414yes—
746C22⋊Dic61C2414yes—
747C22⋊Dic61C2414yes—
748C22⋊Dic61C2414yes—
749C22⋊Dic61C2414yes—
750C22⋊Dic61C2414yes—
751C22⋊Dic61C2414yes—
752C22⋊Dic61C2414yes—
753C22⋊Dic61C2414yes—
754C22⋊Dic61C2414yes—
755C22⋊Dic61C2414yes—
756C22⋊Dic61C2414yes—
757C22⋊Dic61C2414yes—
758C22⋊Dic61C2414yes—
759C22⋊Dic61C2414yes—
760C22⋊Dic61C2414yes—
761C22⋊Dic61C2414yes—
762C22⋊Dic61C2414yes—
763C22⋊Dic61C2414yes—
764C22⋊Dic61C2414yes—
765C22⋊Dic61C2414yes—
766C22⋊Dic61C2414yes—
767C22⋊Dic61C2414yes—
768C22⋊Dic61C2414yes—
769C22⋊Dic61C2414yes—
770C22⋊Dic61C2414yes—
771C22⋊Dic61C2414yes—
772C22⋊Dic61C2414yes—
773#11758198C2414yes—
774#11758198C2414yes—
775#11758198C2414yes—
776#11758198C2414yes—
777#11758198C2414yes—
778#11758198C2414yes—
779#11758198C2414yes—
780#11758198C2414yes—
781#11758198C2414yes—
782#11758198C2414yes—
783#11758198C2414yes—
784#11758198C2414yes—
785#11758198C2414yes—
786#11758198C2414yes—
787C4⋊Dic61C2414yes—
788C4⋊Dic61C2414yes—
789C4⋊Dic61C2414yes—
790C4⋊Dic61C2414yes—
791C4⋊Dic61C2414yes—
792C4⋊Dic61C2414yes—
793#11758196C2414yes—
794#11758196C2414yes—
795#11758196C2414yes—
796#11758196C2414yes—
797#11758196C2414yes—
798#11758196C2414yes—
799#11758196C2414yes—
800#11758196C2414yes—
801#11758196C2414yes—
802#11758196C2414yes—
803#11758196C2414yes—
804#11758196C2414yes—
805#11758196C2414yes—
806#11758196C2414yes—
807#11758196C2414yes—
808#11758196C2414yes—
809#11758196C2414yes—
810#11758196C2414yes—
811#11758196C2414yes—
812#11758196C2414yes—
813#11758196C2414yes—
814#11758196C2414yes—
815C4×Dic61C2414yes—
816C4×Dic61C2414yes—
817C4×Dic61C2414yes—
818C4×Dic61C2414yes—
819C4×Dic61C2414yes—
820C23×C61—22no—
821C23×C61—22no—
822C23×C61—22no—
823C23×C61—22no—
824C23×C61—28no—
825C23×C61—22no—
826C23×C61—22no—
827C23×C61—22no—
828C23×C61—22no—
829C23×C61—22no—
830C23×C61—22no—
831C23×C61—22no—
832C23×C61—28no—
833C23×C61—22no—
834C23×C61—22no—
835C23×C61—22no—
836C23×C61—22no—
837C23×C61—22no—
838C23×C61—22no—
839C23×C61—22no—
840C23×C61—22no—
841C23×C61—22no—
842C23×C61—22no—
843C23×C61—22no—
844C23×C61—28no—
845C23×C61—28no—
846C23×C61—44no—
847C23×C61—44no—
848C23×C61—44no—
849C23×C61—44no—
850C23×C61—44no—
851C23×C61—44no—
852C23×C61—44no—
853C23×C61—44no—
854C23×C61—416no—
855C23×C61—88no—
856C23×C61—88no—
857C23×C61—88no—
858C23×C61H(5,𝔽2)14yes—
859C23×C61H(5,𝔽2)14yes—
860C23×C61C2512yes—
861C23×C61C2512yes—
862C23×C61C2512yes—
863C23×C61C2512yes—
864C23×C61C2512yes—
865C23×C61C2512yes—
866C23×C61C2512yes—
867C23×C61C2512yes—
868C23×C61C2511yescharacteristic
869C22×D61—22no—
870C22×D61—22no—
871C22×D61—22no—
872C22×D61—22no—
873C22×D61—22no—
874C22×D61—22no—
875C22×D61—22no—
876C22×D61—22no—
877C22×D61—22no—
878C22×D61—28no—
879C22×D61—44no—
880C22×D61—44no—
881C22×D61—44no—
882C22×D61—44no—
883C22×D61—44no—
884C22×D61—88no—
885C22×D61—88no—
886C22×D61C2512yes—
887C22×D61C2512yes—
888C22×D61C2512yes—
889D4×C61—28no—
890D4×C61—28no—
891D4×C61—28no—
892D4×C61—28no—
893D4×C61—28no—
894D4×C61—28no—
895D4×C61—44no—
896D4×C61—44no—
897D4×C61—44no—
898D4×C61—44no—
899D4×C61—44no—
900D4×C61—44no—
901D4×C61—44no—
902D4×C61—44no—
903D4×C61—44no—
904D4×C61—44no—
905C2×C4×C61—22no—
906C2×C4×C61—22no—
907C2×C4×C61—22no—
908C2×C4×C61—22no—
909C2×C4×C61—22no—
910C2×C4×C61—22no—
911C2×C4×C61—22no—
912C2×C4×C61—44no—
913C2×C4×C61—44no—
914C2×C4×C61—44no—
915C2×C4×C61—44no—
916C2×C4×C61C2512yes—
917C2×C4×C61C2512yes—
918C2×C4×C61C2512yes—
919C2×C4×C61C2512yes—
920C2×C4×C61C2512yes—
921C2×C4×C61C2512yes—
922C2×C4×C61C2512yes—
923C22⋊D61—28no—
924C22⋊D61—28no—
925C22⋊D61—28no—
926C22⋊D61—28no—
927C22⋊D61—44no—
928C22⋊D61—44no—
929C22⋊D61—44no—
930C22⋊D61—44no—
931C22⋊D61—44no—
932C22⋊D61—44no—
933C22⋊D61—44no—
934C22⋊D61—44no—
935C22⋊D61—44no—
936C22⋊D61—44no—
937C22⋊D61—44no—
938C22⋊D61—44no—
939C22⋊D61—44no—
940C22⋊D61—44no—
941C22⋊D61—44no—
942C22⋊D61—44no—
943C2×Dic61—22no—
944C2×Dic61—22no—
945C2×Dic61—22no—
946C2×Dic61—22no—
947C2×Dic61—22no—
948C2×Dic61—22no—
949C2×Dic61—22no—
950C2×Dic61—28no—
951C2×Dic61—28no—
952C2×Dic61—28no—
953C2×Dic61—22no—
954C2×Dic61—22no—
955C2×Dic61—22no—
956C2×Dic61—22no—
957C2×Dic61—22no—
958C2×Dic61—22no—
959C2×Dic61—44no—
960C2×Dic61—44no—
961C2×Dic61—44no—
962C2×Dic61—44no—
963C2×Dic61—44no—
964C2×Dic61—44no—
965C2×Dic61—44no—
966C2×Dic61—44no—
967C2×Dic61—44no—
968C2×Dic61—44no—
969C2×Dic61—44no—
970C2×Dic61C2512yes—
971C2×Dic61C2512yes—
972C2×Dic61C2512yes—
973C2×Dic61C2512yes—
974C2×Dic61C2512yes—
975C2×Dic61C2512yes—
976C2×Dic61C2512yes—
977C2×Dic61C2512yes—
978C2×Dic61C2512yes—
979C2×Dic61C2512yes—
980C2×Dic61C2512yes—
981C2×Dic61C2512yes—
982C2×Dic61C2512yes—
983D244—44no—
984C4×D61—44no—
985C4×D61—44no—
986C4×D61—44no—
987C4×D61—44no—
988C4×D61—44no—
989Dic122—44no—
990Dic122—44no—
991Dic122—44no—
992C2×#3534—611nomaximal, Sylow
993C22×C61—22no—
994C22×C61—22no—
995C22×C61—22no—
996C22×C61—22no—
997C22×C61—28no—
998C22×C61—28no—
999C22×C61—22no—
1000C22×C61—22no—
1001C22×C61—22no—
1002C22×C61—22no—
1003C22×C61—22no—
1004C22×C61—22no—
1005C22×C61—22no—
1006C22×C61—22no—
1007C22×C61—22no—
1008C22×C61—22no—
1009C22×C61—22no—
1010C22×C61—22no—
1011C22×C61—22no—
1012C22×C61—22no—
1013C22×C61—22no—
1014C22×C61—22no—
1015C22×C61—22no—
1016C22×C61—22no—
1017C22×C61—416no—
1018C22×C61—44no—
1019C22×C61—44no—
1020C22×C61—44no—
1021C22×C61—44no—
1022C22×C61—44no—
1023C22×C61—44no—
1024C22×C61—88no—
1025C22×C61—88no—
1026C22×C61—88no—
1027C22×C61C2×H(5,𝔽2)14yes—
1028C22×C61C2×H(5,𝔽2)14yes—
1029C22×C61C2×H(5,𝔽2)12yes—
1030C22×C61C2×H(5,𝔽2)12yes—
1031C22×C61#58512yes—
1032C22×C61C2611yescharacteristic
1033C2×D61—22no—
1034C2×D61—22no—
1035C2×D61—22no—
1036C2×D61—22no—
1037C2×D61—22no—
1038C2×D61—22no—
1039C2×D61—22no—
1040C2×D61—22no—
1041C2×D61—22no—
1042C2×D61—44no—
1043C2×D61—44no—
1044C2×D61—44no—
1045C2×D61—88no—
1046C2×D61—88no—
1047C4×C61—22no—
1048C4×C61—22no—
1049C4×C61—22no—
1050C4×C61—22no—
1051C4×C61—22no—
1052C4×C61—22no—
1053C4×C61—22no—
1054Dic61—22no—
1055Dic61—22no—
1056Dic61—22no—
1057Dic61—22no—
1058Dic61—22no—
1059Dic61—22no—
1060Dic61—22no—
1061Dic61—22no—
1062Dic61—22no—
1063Dic61—22no—
1064Dic61—22no—
1065Dic61—22no—
1066Dic61—22no—
1067#3534—6132no—
1068C2×#562—611no—
1069C2×#562—611no—
1070C2×#560—611no—
1071C2×#560—611no—
1072C2×#553—611no—
1073C2×#553—611no—
1074C2×#551—611no—
1075C2×#551—611no—
1076C2×#546—611no—
1077C2×#546—611no—
1078C2×#546—611no—
1079C2×#546—611no—
1080C2×#546—611no—
1081C2×#546—611no—
1082C2×D42—611no—
1083C2×D42D6111yescharacteristic, complemented
1084C2×#540—611no—
1085C2×#540—611no—
1086C2×#539—611no—
1087C2×#539—611no—
1088C2×#539—611no—
1089C2×#538—611no—
1090C2×#538—611no—
1091C2×#538—611no—
1092C2×#537—611no—
1093C2×#534—611no—
1094C2×#534—611no—
1095C2×#534—611no—
1096C2×#525—611no—
1097C22×#123—611no—
1098C22×#121—611no—
1099C2×C61—24no—
1100C2×C61—24no—
1101C2×C61—42no—
1102C2×C61—42no—
1103C2×C61—42no—
1104C2×C61—42no—
1105C2×C61—42no—
1106C2×C61—42no—
1107C2×C61#353414yescomplemented
1108C2×C61C22×H(5,𝔽2)11yescharacteristic
1109C2×C61C22×H(5,𝔽2)11yescharacteristic
1110C2×C61C2×#58511yescharacteristic
1111D61—42no—
1112D61—42no—
1113D61—42no—
1114C22×#41—611no—
1115C22×#41—611no—
1116C22×#41—611no—
1117C23×D4—611no—
1118C23×D4—611no—
1119C23×D4—611no—
1120C23×D4—611no—
1121C23×D4C2×D6111yescharacteristic
1122C23×D4C2×D6111yescharacteristic, complemented
1123C23×D4C2×D6111yescharacteristic, complemented
1124C23×D4C2×D6111yescharacteristic, complemented
1125C24×C4—611no—
1126#562—6116no—
1127#562—6116no—
1128#560—6116no—
1129#560—6116no—
1130#553—6116no—
1131#553—6116no—
1132#551—6116no—
1133#551—6116no—
1134#546—6116no—
1135#546—6116no—
1136#546—6116no—
1137#546—6116no—
1138#546—6116no—
1139#546—6116no—
1140D42—6116no—
1141D42C2×D61116yescomplemented
1142#540—6116no—
1143#540—6116no—
1144#539—6116no—
1145#539—6116no—
1146#539—6116no—
1147#538—6116no—
1148#538—6116no—
1149#538—6116no—
1150#537—6116no—
1151#534—6116no—
1152#534—6116no—
1153#534—6116no—
1154C2×#127—611no—
1155C2×#127C2×D6111yescharacteristic, complemented
1156C2×#126—611no—
1157C2×#126—611no—
1158C2×#126—611no—
1159C2×#126—611no—
1160C2×#126—611no—
1161C2×#126—611no—
1162C2×#126—611no—
1163C2×#126—611no—
1164C2×#125—611no—
1165C2×#125—611no—
1166C2×#125—611no—
1167C2×#125—611no—
1168C2×#124—611no—
1169C2×#124—611no—
1170C2×#124—611no—
1171C2×#124—611no—
1172C2×#124—611no—
1173C2×#124—611no—
1174#525—6116no—
1175C2×#123—611no—
1176C2×#123—611no—
1177C2×#123—611no—
1178C2×#123—611no—
1179C2×#123—611no—
1180C2×#123—611no—
1181C2×#123—611no—
1182C2×#123—611no—
1183C2×#123—6116no—
1184C2×#123—611no—
1185C2×#123—611no—
1186C2×#123—611no—
1187C2×#123—611no—
1188C2×#123—611no—
1189C2×#123—611no—
1190C2×#123—611no—
1191C2×#123—611no—
1192C2×#123—611no—
1193C2×#123—611no—
1194C2×#123—611no—
1195C2×#123—611no—
1196C2×#123—611no—
1197C2×#123—611no—
1198C2×#123—611no—
1199C2×#123—611no—
1200C2×#123—611no—
1201C2×#123—611no—
1202C2×#123—611no—
1203C2×#123—611no—
1204C2×C22⋊Q8—611no—
1205C2×C22⋊Q8—611no—
1206C2×C22⋊Q8—611no—
1207C2×C22⋊Q8—611no—
1208C2×C22⋊Q8—611no—
1209C2×C22⋊Q8—611no—
1210C2×C22⋊Q8—611no—
1211C2×C22⋊Q8—611no—
1212C2×C22⋊Q8—611no—
1213C2×C22⋊Q8—611no—
1214C2×C22⋊Q8—611no—
1215C2×C22⋊Q8—611no—
1216C2×#121—611no—
1217C2×#121—611no—
1218C2×#121—611no—
1219C2×#121—611no—
1220C2×#121—611no—
1221C2×#121—611no—
1222C2×#121—611no—
1223C2×#121—611no—
1224C2×#121—611no—
1225C2×#121—611no—
1226C2×#121—611no—
1227C2×#121—611no—
1228C2×#121—611no—
1229C2×#121—611no—
1230C2×#121—611no—
1231C2×#121—611no—
1232C2×#121—611no—
1233C2×#121—611no—
1234C2×#121—611no—
1235C2×#121—611no—
1236C2×#121—611no—
1237C2×#121—611no—
1238C2×#121—611no—
1239C2×#121—611no—
1240C2×#121—611no—
1241C2×#121—611no—
1242C2×#121—611no—
1243C2×#121—611no—
1244C2×#121—6116no—
1245C2×#121—611no—
1246C2×#121—611no—
1247C2×#121—611no—
1248C2×#121—611no—
1249C2×#121C2×D6111yescharacteristic
1250C2×#121C2×D6111yescharacteristic, complemented
1251C2×#121C2×D6111yescharacteristic, complemented
1252C2×#121C2×D6111yescharacteristic, complemented
1253C2×#120—611no—
1254C2×#120—611no—
1255C2×#120—611no—
1256C2×#120—611no—
1257C2×#120—611no—
1258C2×#120—611no—
1259C2×#120—611no—
1260C2×#120—611no—
1261C2×#120—611no—
1262C2×#120—611no—
1263C2×#120—611no—
1264C2×#120—611no—
1265C2×#120C2×D6111yescharacteristic
1266C2×#120C2×D6111yescharacteristic, complemented
1267C2×#120C2×D6111yescharacteristic, complemented
1268C2×#120C2×D6111yescharacteristic, complemented
1269C2×C4×D4—611no—
1270C2×C4×D4—611no—
1271C2×C4×D4—611no—
1272C2×C4×D4—611no—
1273C2×C4×D4—611no—
1274C2×C4×D4—611no—
1275C2×C4×D4—611no—
1276C2×C4×D4—611no—
1277C2×C4×D4—611no—
1278C2×C4×D4—611no—
1279C2×C4×D4—611no—
1280C2×C4×D4—611no—
1281C2×C4×D4—611no—
1282C2×C4×D4—611no—
1283C2×C4×D4C2×D6111yescharacteristic, complemented
1284C2×C4×D4C2×D6111yescharacteristic, complemented
1285C2×#117—611no—
1286C2×#117—611no—
1287C2×#117—611no—
1288C22×C4⋊C4—611no—
1289C22×C4⋊C4—611no—
1290C22×C4⋊C4—611no—
1291C22×C22⋊C4—611no—
1292C22×C22⋊C4—611no—
1293C22×C22⋊C4—611no—
1294C22×C22⋊C4—611no—
1295C22×C22⋊C4—611no—
1296C22×C22⋊C4—611no—
1297C22×C22⋊C4—611no—
1298C22×C22⋊C4—611no—
1299C22×C22⋊C4—611no—
1300C61C2×#353411yescharacteristic, complemented, Sylow
1301C25—611no—
1302C25—611no—
1303C25C22×D6111yescharacteristic
1304C25C22×D6111yescharacteristic
1305C25C22×D6111yescharacteristic
1306C25C22×D6111yescharacteristic
1307C2×#41—618no—
1308C2×#41—618no—
1309C2×#41—618no—
1310C2×#41—2444no—
1311C2×#41—2444no—
1312C2×#41—2444no—
1313C22×Q8—611no—
1314C22×Q8—611no—
1315C22×Q8—611no—
1316C22×D4—44no—
1317C22×D4—44no—
1318C22×D4—44no—
1319C22×D4—44no—
1320C22×D4—611no—
1321C22×D4—611no—
1322C22×D4—611no—
1323C22×D4—611no—
1324C22×D4—611no—
1325C22×D4—611no—
1326C22×D4—611no—
1327C22×D4—611no—
1328C22×D4—611no—
1329C22×D4—611no—
1330C22×D4—611no—
1331C22×D4—611no—
1332C22×D4—611no—
1333C22×D4—611no—
1334C22×D4—611no—
1335C22×D4—611no—
1336C22×D4—611no—
1337C22×D4—611no—
1338C22×D4—611no—
1339C22×D4—611no—
1340C22×D4—618no—
1341C22×D4—618no—
1342C22×D4—618no—
1343C22×D4—618no—
1344C22×D4—611no—
1345C22×D4—2444no—
1346C22×D4—2444no—
1347C22×D4—2444no—
1348C22×D4—2444no—
1349C22×D4C22×D6111yescharacteristic
1350C22×D4C22×D6111yescharacteristic
1351C22×D4C22×D6111yescharacteristic
1352C22×D4C22×D6111yescharacteristic
1353C22×D4C22×D6111yescharacteristic
1354C22×D4C22×D6111yescharacteristic
1355C22×D4C22×D6111yescharacteristic
1356C22×D4C22×D6111yescharacteristic
1357C22×D4C22×D6111yescharacteristic
1358C22×D4C22×D6111yescharacteristic
1359C22×D4C22×D6111yescharacteristic
1360C22×D4C22×D6111yescharacteristic
1361C22×D4C22×D6111yescharacteristic
1362C22×D4C22×D6111yescharacteristic
1363C22×D4C22×D6111yescharacteristic
1364C22×D4C22×D6111yescharacteristic
1365C22×D4C22×D6118yes—
1366C22×D4C22×D6118yescomplemented
1367C22×D4C22×D6118yescomplemented
1368C22×D4C22×D6118yescomplemented
1369C23×C4—611no—
1370C23×C4—611no—
1371C23×C4—611no—
1372C23×C4—611no—
1373C23×C4—611no—
1374C23×C4—611no—
1375C23×C4—611no—
1376C23×C4—611no—
1377C23×C4—611no—
1378C23×C4—611no—
1379C23×C4—611no—
1380C23×C4—611no—
1381C23×C4—611no—
1382C23×C4—611no—
1383C23×C4—618no—
1384C23×C4—611no—
1385C23×C4—611no—
1386C23×C4—611no—
1387C23×C4—611no—
1388C23×C4—611no—
1389C23×C4—2444no—
1390C23×C4C22×D6111yescharacteristic
1391C23×C4C22×D6111yescharacteristic
1392C23×C4C22×D6111yescharacteristic
1393C23×C4C22×D6111yescharacteristic
1394#127—618no—
1395#127C22×D6118yescomplemented
1396#126—618no—
1397#126—618no—
1398#126—618no—
1399#126—618no—
1400#126—618no—
1401#126—618no—
1402#126—618no—
1403#126—618no—
1404#125—618no—
1405#125—618no—
1406#125—618no—
1407#125—618no—
1408#124—618no—
1409#124—618no—
1410#124—618no—
1411#124—618no—
1412#124—618no—
1413#124—618no—
1414#123—618no—
1415#123—618no—
1416#123—618no—
1417#123—618no—
1418#123—618no—
1419#123—618no—
1420#123—618no—
1421#123—618no—
1422#123—618no—
1423#123—618no—
1424#123—618no—
1425#123—618no—
1426#123—618no—
1427#123—618no—
1428#123—618no—
1429#123—618no—
1430#123—618no—
1431#123—618no—
1432#123—618no—
1433#123—618no—
1434#123—618no—
1435#123—618no—
1436#123—618no—
1437#123—618no—
1438#123—618no—
1439#123—618no—
1440#123—618no—
1441#123—618no—
1442C22⋊Q8—618no—
1443C22⋊Q8—618no—
1444C22⋊Q8—618no—
1445C22⋊Q8—618no—
1446C22⋊Q8—618no—
1447C22⋊Q8—618no—
1448C22⋊Q8—618no—
1449C22⋊Q8—618no—
1450C22⋊Q8—618no—
1451C22⋊Q8—618no—
1452C22⋊Q8—618no—
1453C22⋊Q8—618no—
1454#121—618no—
1455#121—618no—
1456#121—618no—
1457#121—618no—
1458#121—618no—
1459#121—618no—
1460#121—618no—
1461#121—618no—
1462#121—618no—
1463#121—618no—
1464#121—618no—
1465#121—618no—
1466#121—618no—
1467#121—618no—
1468#121—618no—
1469#121—618no—
1470#121—618no—
1471#121—618no—
1472#121—618no—
1473#121—618no—
1474#121—618no—
1475#121—618no—
1476#121—618no—
1477#121—618no—
1478#121—618no—
1479#121—618no—
1480#121—618no—
1481#121—618no—
1482#121—618no—
1483#121—618no—
1484#121—618no—
1485#121—618no—
1486#121C22×D6118yes—
1487#121C22×D6118yescomplemented
1488#121C22×D6118yescomplemented
1489#121C22×D6118yescomplemented
1490#120—618no—
1491#120—618no—
1492#120—618no—
1493#120—618no—
1494#120—618no—
1495#120—618no—
1496#120—618no—
1497#120—618no—
1498#120—618no—
1499#120—618no—
1500#120—618no—
1501#120—618no—
1502#120C22×D6118yes—
1503#120C22×D6118yescomplemented
1504#120C22×D6118yescomplemented
1505#120C22×D6118yescomplemented
1506C4×D4—618no—
1507C4×D4—618no—
1508C4×D4—618no—
1509C4×D4—618no—
1510C4×D4—618no—
1511C4×D4—618no—
1512C4×D4—618no—
1513C4×D4—618no—
1514C4×D4—618no—
1515C4×D4—618no—
1516C4×D4—618no—
1517C4×D4—618no—
1518C4×D4—618no—
1519C4×D4—618no—
1520C4×D4C22×D6118yescomplemented
1521C4×D4C22×D6118yescomplemented
1522#117—618no—
1523#117—618no—
1524#117—618no—
1525C2×C4⋊C4—611no—
1526C2×C4⋊C4—611no—
1527C2×C4⋊C4—611no—
1528C2×C4⋊C4—611no—
1529C2×C4⋊C4—611no—
1530C2×C4⋊C4—611no—
1531C2×C4⋊C4—618no—
1532C2×C4⋊C4—611no—
1533C2×C4⋊C4—611no—
1534C2×C4⋊C4—611no—
1535C2×C4⋊C4—611no—
1536C2×C4⋊C4—611no—
1537C2×C4⋊C4—611no—
1538C2×C4⋊C4—618no—
1539C2×C4⋊C4—618no—
1540C2×C4⋊C4—611no—
1541C2×C4⋊C4—611no—
1542C2×C4⋊C4—611no—
1543C2×C4⋊C4—611no—
1544C2×C4⋊C4—611no—
1545C2×C4⋊C4—611no—
1546C2×C4⋊C4—611no—
1547C2×C4⋊C4—611no—
1548C2×C4⋊C4—611no—
1549C2×C4⋊C4—611no—
1550C2×C4⋊C4—611no—
1551C2×C4⋊C4—611no—
1552C2×C4⋊C4—611no—
1553C2×C4⋊C4—611no—
1554C2×C4⋊C4—611no—
1555C2×C4⋊C4—611no—
1556C2×C4⋊C4C22×D6111yescharacteristic
1557C2×C4⋊C4C22×D6111yescharacteristic
1558C2×C22⋊C4—611no—
1559C2×C22⋊C4—611no—
1560C2×C22⋊C4—611no—
1561C2×C22⋊C4—611no—
1562C2×C22⋊C4—611no—
1563C2×C22⋊C4—611no—
1564C2×C22⋊C4—611no—
1565C2×C22⋊C4—611no—
1566C2×C22⋊C4—611no—
1567C2×C22⋊C4—611no—
1568C2×C22⋊C4—611no—
1569C2×C22⋊C4—611no—
1570C2×C22⋊C4—611no—
1571C2×C22⋊C4—611no—
1572C2×C22⋊C4—611no—
1573C2×C22⋊C4—611no—
1574C2×C22⋊C4—611no—
1575C2×C22⋊C4—611no—
1576C2×C22⋊C4—611no—
1577C2×C22⋊C4—611no—
1578C2×C22⋊C4—611no—
1579C2×C22⋊C4—618no—
1580C2×C22⋊C4—618no—
1581C2×C22⋊C4—618no—
1582C2×C22⋊C4—618no—
1583C2×C22⋊C4—618no—
1584C2×C22⋊C4—618no—
1585C2×C22⋊C4—611no—
1586C2×C22⋊C4—611no—
1587C2×C22⋊C4—611no—
1588C2×C22⋊C4—611no—
1589C2×C22⋊C4—611no—
1590C2×C22⋊C4—611no—
1591C2×C22⋊C4—611no—
1592C2×C22⋊C4—611no—
1593C2×C22⋊C4—611no—
1594C2×C22⋊C4—611no—
1595C2×C22⋊C4—611no—
1596C2×C22⋊C4—611no—
1597C2×C22⋊C4—611no—
1598C2×C22⋊C4—611no—
1599C2×C22⋊C4—618no—
1600C2×C22⋊C4—611no—
1601C2×C22⋊C4—611no—
1602C2×C22⋊C4—611no—
1603C2×C22⋊C4—611no—
1604C2×C22⋊C4—611no—
1605C2×C22⋊C4—611no—
1606C2×C22⋊C4—611no—
1607C2×C22⋊C4—618no—
1608C2×C22⋊C4—618no—
1609C2×C22⋊C4C22×D6111yescharacteristic
1610C2×C22⋊C4C22×D6111yescharacteristic
1611C2×C22⋊C4C22×D6111yescharacteristic
1612C2×C22⋊C4C22×D6111yescharacteristic
1613C2×C22⋊C4C22×D6111yescharacteristic
1614C2×C22⋊C4C22×D6111yescharacteristic
1615C2×C22⋊C4C22×D6111yescharacteristic
1616C2×C22⋊C4C22×D6111yescharacteristic
1617C2×C42—611no—
1618C2×C42—611no—
1619C2×C42—611no—
1620C2×C42—611no—
1621C2×C42—611no—
1622C2×C42C22×D6111yescharacteristic
1623C24—24no—
1624C24—24no—
1625C24—24no—
1626C24—24no—
1627C24—42no—
1628C24—42no—
1629C24—42no—
1630C24—42no—
1631C24—42no—
1632C24—42no—
1633C24—42no—
1634C24—42no—
1635C24—611no—
1636C24—611no—
1637C24—611no—
1638C24—614no—
1639C24—614no—
1640C24—1224no—
1641C24—2442no—
1642C24—2442no—
1643C24—2442no—
1644C24—2442no—
1645C24—2442no—
1646C24C23×D6111yescharacteristic
1647C24C23×D6111yescharacteristic
1648C24C23×D6111yescharacteristic
1649C24C23×D6111yescharacteristic
1650C24C23×D6111yescharacteristic
1651C24C23×D6111yescharacteristic
1652C24C23×D6114yes—
1653C24C23×D6111yescharacteristic
1654C24C23×D6111yescharacteristic
1655C24C23×D6114yes—
1656C24C23×D6114yes—
1657C24C23×D6114yes—
1658#41—24416no—
1659#41—24416no—
1660#41—24416no—
1661C2×Q8—614no—
1662C2×Q8—614no—
1663C2×Q8—614no—
1664C2×Q8—2442no—
1665C2×Q8—2442no—
1666C2×Q8—2442no—
1667C2×D4—24no—
1668C2×D4—24no—
1669C2×D4—24no—
1670C2×D4—24no—
1671C2×D4—24no—
1672C2×D4—24no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—42no—
1679C2×D4—42no—
1680C2×D4—42no—
1681C2×D4—42no—
1682C2×D4—42no—
1683C2×D4—416no—
1684C2×D4—416no—
1685C2×D4—416no—
1686C2×D4—416no—
1687C2×D4—614no—
1688C2×D4—614no—
1689C2×D4—614no—
1690C2×D4—614no—
1691C2×D4—614no—
1692C2×D4—614no—
1693C2×D4—614no—
1694C2×D4—614no—
1695C2×D4—614no—
1696C2×D4—614no—
1697C2×D4—614no—
1698C2×D4—614no—
1699C2×D4—614no—
1700C2×D4—614no—
1701C2×D4—614no—
1702C2×D4—614no—
1703C2×D4—614no—
1704C2×D4—614no—
1705C2×D4—614no—
1706C2×D4—614no—
1707C2×D4—614no—
1708C2×D4—1224no—
1709C2×D4—1224no—
1710C2×D4—1224no—
1711C2×D4—1224no—
1712C2×D4—2442no—
1713C2×D4—2442no—
1714C2×D4—2442no—
1715C2×D4—2442no—
1716C2×D4—2442no—
1717C2×D4—24416no—
1718C2×D4—2442no—
1719C2×D4—2442no—
1720C2×D4—2442no—
1721C2×D4—2442no—
1722C2×D4—2442no—
1723C2×D4—2442no—
1724C2×D4—2442no—
1725C2×D4—2442no—
1726C2×D4—2442no—
1727C2×D4—2442no—
1728C2×D4—2442no—
1729C2×D4—2442no—
1730C2×D4—24416no—
1731C2×D4—24416no—
1732C2×D4—24416no—
1733C2×D4C23×D6114yes—
1734C2×D4C23×D6114yes—
1735C2×D4C23×D6114yes—
1736C2×D4C23×D6114yes—
1737C2×D4C23×D6114yes—
1738C2×D4C23×D6114yes—
1739C2×D4C23×D6114yes—
1740C2×D4C23×D6114yes—
1741C2×D4C23×D6114yes—
1742C2×D4C23×D6114yes—
1743C2×D4C23×D6114yes—
1744C2×D4C23×D6114yes—
1745C2×D4C23×D6114yes—
1746C2×D4C23×D6114yes—
1747C2×D4C23×D6114yes—
1748C2×D4C23×D6114yes—
1749C22×C4—42no—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—614no—
1754C22×C4—614no—
1755C22×C4—614no—
1756C22×C4—611no—
1757C22×C4—611no—
1758C22×C4—611no—
1759C22×C4—611no—
1760C22×C4—611no—
1761C22×C4—611no—
1762C22×C4—611no—
1763C22×C4—611no—
1764C22×C4—611no—
1765C22×C4—611no—
1766C22×C4—611no—
1767C22×C4—611no—
1768C22×C4—611no—
1769C22×C4—614no—
1770C22×C4—614no—
1771C22×C4—614no—
1772C22×C4—614no—
1773C22×C4—614no—
1774C22×C4—614no—
1775C22×C4—614no—
1776C22×C4—614no—
1777C22×C4—614no—
1778C22×C4—614no—
1779C22×C4—614no—
1780C22×C4—614no—
1781C22×C4—614no—
1782C22×C4—614no—
1783C22×C4—614no—
1784C22×C4—614no—
1785C22×C4—1224no—
1786C22×C4—1224no—
1787C22×C4—1224no—
1788C22×C4—2442no—
1789C22×C4—2442no—
1790C22×C4—2442no—
1791C22×C4—2442no—
1792C22×C4—2442no—
1793C22×C4—2442no—
1794C22×C4—2442no—
1795C22×C4—2442no—
1796C22×C4—2442no—
1797C22×C4—24416no—
1798C22×C4—2442no—
1799C22×C4—2442no—
1800C22×C4—2442no—
1801C22×C4—2442no—
1802C22×C4—2442no—
1803C22×C4—2442no—
1804C22×C4—2442no—
1805C22×C4C23×D6111yescharacteristic
1806C22×C4C23×D6111yescharacteristic
1807C22×C4C23×D6111yescharacteristic
1808C22×C4C23×D6111yescharacteristic
1809C22×C4C23×D6111yescharacteristic
1810C22×C4C23×D6111yescharacteristic
1811C22×C4C23×D6111yescharacteristic
1812C22×C4C23×D6114yes—
1813C22×C4C23×D6114yes—
1814C22×C4C23×D6114yes—
1815C22×C4C23×D6114yes—
1816C4⋊C4—614no—
1817C4⋊C4—614no—
1818C4⋊C4—614no—
1819C4⋊C4—614no—
1820C4⋊C4—614no—
1821C4⋊C4—614no—
1822C4⋊C4—614no—
1823C4⋊C4—614no—
1824C4⋊C4—614no—
1825C4⋊C4—614no—
1826C4⋊C4—614no—
1827C4⋊C4—614no—
1828C4⋊C4—614no—
1829C4⋊C4—614no—
1830C4⋊C4—614no—
1831C4⋊C4—614no—
1832C4⋊C4—614no—
1833C4⋊C4—614no—
1834C4⋊C4—614no—
1835C4⋊C4—614no—
1836C4⋊C4—614no—
1837C4⋊C4—614no—
1838C4⋊C4—614no—
1839C4⋊C4—614no—
1840C4⋊C4—614no—
1841C4⋊C4—614no—
1842C4⋊C4—614no—
1843C4⋊C4—614no—
1844C4⋊C4C23×D6114yes—
1845C4⋊C4C23×D6114yes—
1846C22⋊C4—614no—
1847C22⋊C4—614no—
1848C22⋊C4—614no—
1849C22⋊C4—614no—
1850C22⋊C4—614no—
1851C22⋊C4—614no—
1852C22⋊C4—614no—
1853C22⋊C4—614no—
1854C22⋊C4—614no—
1855C22⋊C4—614no—
1856C22⋊C4—614no—
1857C22⋊C4—614no—
1858C22⋊C4—614no—
1859C22⋊C4—614no—
1860C22⋊C4—614no—
1861C22⋊C4—614no—
1862C22⋊C4—614no—
1863C22⋊C4—614no—
1864C22⋊C4—614no—
1865C22⋊C4—614no—
1866C22⋊C4—614no—
1867C22⋊C4—614no—
1868C22⋊C4—614no—
1869C22⋊C4—614no—
1870C22⋊C4—614no—
1871C22⋊C4—614no—
1872C22⋊C4—614no—
1873C22⋊C4—614no—
1874C22⋊C4—614no—
1875C22⋊C4—614no—
1876C22⋊C4—614no—
1877C22⋊C4—614no—
1878C22⋊C4—614no—
1879C22⋊C4—614no—
1880C22⋊C4—614no—
1881C22⋊C4—614no—
1882C22⋊C4—614no—
1883C22⋊C4—614no—
1884C22⋊C4—614no—
1885C22⋊C4—614no—
1886C22⋊C4—614no—
1887C22⋊C4—614no—
1888C22⋊C4C23×D6114yes—
1889C22⋊C4C23×D6114yes—
1890C22⋊C4C23×D6114yes—
1891C22⋊C4C23×D6114yes—
1892C22⋊C4C23×D6114yes—
1893C22⋊C4C23×D6114yes—
1894C22⋊C4C23×D6114yes—
1895C22⋊C4C23×D6114yes—
1896C42—614no—
1897C42—614no—
1898C42—614no—
1899C42—614no—
1900C42—614no—
1901C42C23×D6114yes—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—28no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—22no—
1916C23—22no—
1917C23—28no—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23—22no—
1922C23—22no—
1923C23—22no—
1924C23—22no—
1925C23—22no—
1926C23—28no—
1927C23—28no—
1928C23—44no—
1929C23—44no—
1930C23—44no—
1931C23—44no—
1932C23—44no—
1933C23—44no—
1934C23—44no—
1935C23—44no—
1936C23—416no—
1937C23—88no—
1938C23—88no—
1939C23—88no—
1940C23—612no—
1941C23—612no—
1942C23—612no—
1943C23—1228no—
1944C23—1222no—
1945C23—1222no—
1946C23—1222no—
1947C23—1222no—
1948C23—1222no—
1949C23—1222no—
1950C23—1222no—
1951C23—1222no—
1952C23—1222no—
1953C23—4888no—
1954C23—4888no—
1955C23—2444no—
1956C23—2444no—
1957C23—2444no—
1958C23—2444no—
1959C23—2444no—
1960C23#1451982214yes—
1961C23#1451982214yes—
1962C23C24×D6112yes—
1963C23C24×D6112yes—
1964C23C24×D6112yes—
1965C23C24×D6112yes—
1966C23C24×D6112yes—
1967C23C24×D6112yes—
1968C23C24×D6112yes—
1969C23C24×D6112yes—
1970C23C24×D6111yescharacteristic
1971Q8—2444no—
1972Q8—2444no—
1973Q8—2444no—
1974D4—28no—
1975D4—28no—
1976D4—28no—
1977D4—28no—
1978D4—28no—
1979D4—28no—
1980D4—44no—
1981D4—44no—
1982D4—44no—
1983D4—44no—
1984D4—44no—
1985D4—44no—
1986D4—44no—
1987D4—44no—
1988D4—44no—
1989D4—44no—
1990D4—1228no—
1991D4—1228no—
1992D4—1228no—
1993D4—1228no—
1994D4—2444no—
1995D4—2444no—
1996D4—2444no—
1997D4—2444no—
1998D4—2444no—
1999D4—2444no—
2000D4—2444no—
2001D4—2444no—
2002D4—2444no—
2003D4—2444no—
2004D4—2444no—
2005D4—2444no—
2006D4—2444no—
2007D4—2444no—
2008D4—2444no—
2009D4—2444no—
2010D4—2444no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—44no—
2019C2×C4—44no—
2020C2×C4—44no—
2021C2×C4—44no—
2022C2×C4—612no—
2023C2×C4—612no—
2024C2×C4—612no—
2025C2×C4—612no—
2026C2×C4—612no—
2027C2×C4—612no—
2028C2×C4—612no—
2029C2×C4—612no—
2030C2×C4—612no—
2031C2×C4—612no—
2032C2×C4—612no—
2033C2×C4—612no—
2034C2×C4—612no—
2035C2×C4—1222no—
2036C2×C4—1228no—
2037C2×C4—1222no—
2038C2×C4—1222no—
2039C2×C4—1222no—
2040C2×C4—1222no—
2041C2×C4—1222no—
2042C2×C4—1228no—
2043C2×C4—1228no—
2044C2×C4—1222no—
2045C2×C4—1222no—
2046C2×C4—1222no—
2047C2×C4—1222no—
2048C2×C4—1222no—
2049C2×C4—1222no—
2050C2×C4—1222no—
2051C2×C4—2444no—
2052C2×C4—2444no—
2053C2×C4—2444no—
2054C2×C4—2444no—
2055C2×C4—2444no—
2056C2×C4—2444no—
2057C2×C4—2444no—
2058C2×C4—2444no—
2059C2×C4—2444no—
2060C2×C4—2444no—
2061C2×C4—2444no—
2062C2×C4—2444no—
2063C2×C4—2444no—
2064C2×C4—2444no—
2065C2×C4—2444no—
2066C2×C4—2444no—
2067C2×C4C24×D6112yes—
2068C2×C4C24×D6112yes—
2069C2×C4C24×D6112yes—
2070C2×C4C24×D6112yes—
2071C2×C4C24×D6112yes—
2072C2×C4C24×D6112yes—
2073C2×C4C24×D6112yes—
2074C22—28no—
2075C22—28no—
2076C22—22no—
2077C22—22no—
2078C22—22no—
2079C22—22no—
2080C22—22no—
2081C22—22no—
2082C22—22no—
2083C22—22no—
2084C22—22no—
2085C22—22no—
2086C22—22no—
2087C22—22no—
2088C22—22no—
2089C22—22no—
2090C22—22no—
2091C22—22no—
2092C22—22no—
2093C22—22no—
2094C22—22no—
2095C22—22no—
2096C22—22no—
2097C22—22no—
2098C22—416no—
2099C22—44no—
2100C22—44no—
2101C22—44no—
2102C22—44no—
2103C22—44no—
2104C22—44no—
2105C22—88no—
2106C22—88no—
2107C22—88no—
2108C22—1222no—
2109C22—1222no—
2110C22—1222no—
2111C22—1222no—
2112C22—1222no—
2113C22—1222no—
2114C22—1222no—
2115C22—1222no—
2116C22—1222no—
2117C22—4888no—
2118C22—4888no—
2119C22—2444no—
2120C22—2444no—
2121C22—2444no—
2122C22C2×#1451982214yes—
2123C22C2×#1451982214yes—
2124C22C2×#1451982212yes—
2125C22C2×#1451982212yes—
2126C22#1684059712yes—
2127C22C25×D6111yescharacteristic
2128C4—22no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—22no—
2133C4—22no—
2134C4—22no—
2135C4—1222no—
2136C4—1222no—
2137C4—1222no—
2138C4—1222no—
2139C4—1222no—
2140C4—1222no—
2141C4—1222no—
2142C4—1222no—
2143C4—1222no—
2144C4—1222no—
2145C4—1222no—
2146C4—1222no—
2147C4—1222no—
2148C2—24no—
2149C2—24no—
2150C2—42no—
2151C2—42no—
2152C2—42no—
2153C2—42no—
2154C2—42no—
2155C2—42no—
2156C2—2442no—
2157C2—2442no—
2158C2—2442no—
2159C2#2145999714yesdirect product factor
2160C2C22×#1451982211yescharacteristic
2161C2C22×#1451982211yescharacteristic
2162C2C2×#1684059711yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×D42×C61C2
socleC23×C61C25
hypercenterC2×D42D61
hypocenterC61C2×#3534
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×D42

Complements

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

NH ≅ G/Ntype
1. #21459997C2direct (N × H)
2. C2×#16840507C2semidirect
3. C2×#16840507C2semidirect
4. C2×#16840501C2semidirect
5. C2×#16840499C2semidirect
6. C2×#16840461C2semidirect
7. C2×#16840455C2semidirect
8. C2×#16840443C2semidirect
9. C2×#16840441C2semidirect
10. C2×#16840406C2semidirect
11. C2×#16840406C2semidirect
12. C2×#16840406C2semidirect
13. C2×#16840401C2semidirect
14. C2×#16840399C2semidirect
15. C2×#16840399C2semidirect
16. C2×D4×C22⋊D61C2semidirect
17. C2×#16840366C2semidirect
18. C2×#16840362C2semidirect
19. C2×#16840357C2semidirect
20. C2×#16840354C2semidirect
21. C2×#16840354C2semidirect
22. C2×#16840347C2semidirect
23. C2×#16840347C2semidirect
24. C2×#16840344C2semidirect
25. C2×#16840339C2semidirect
26. C2×#16840322C2semidirect
27. C2×#16840321C2semidirect
28. C2×#16840321C2semidirect
29. C2×#16840268C2semidirect
30. C22×#14519758C2semidirect
31. C22×#14519749C2semidirect
32. C2×D42×C61C2semidirect
33. C22×#11758224C22semidirect
34. C22×#11758224C22semidirect
35. C22×#11758224C22semidirect
36. C23×C22⋊D61C22semidirect
37. C23×C22⋊D61C22semidirect
38. C23×C22⋊D61C22semidirect
39. C22×D4×D61C22semidirect
40. C24×Dic61C22semidirect
41. #16840507C22semidirect
42. #16840507C22semidirect
43. #16840501C22semidirect
44. #16840499C22semidirect
45. #16840461C22semidirect
46. #16840455C22semidirect
47. #16840443C22semidirect
48. #16840441C22semidirect
49. #16840406C22semidirect
50. #16840406C22semidirect
51. #16840406C22semidirect
52. #16840401C22semidirect
53. #16840399C22semidirect
54. #16840399C22semidirect
55. D4×C22⋊D61C22semidirect
56. #16840366C22semidirect
57. #16840362C22semidirect
58. #16840357C22semidirect
59. #16840354C22semidirect
60. #16840354C22semidirect
61. #16840347C22semidirect
62. #16840347C22semidirect
63. #16840344C22semidirect
64. #16840339C22semidirect
65. #16840322C22semidirect
66. #16840321C22semidirect
67. #16840321C22semidirect
68. C2×#14519773C22semidirect
69. C2×#14519772C22semidirect
70. C2×#14519771C22semidirect
71. C2×#14519771C22semidirect
72. C2×#14519770C22semidirect
73. C2×#14519770C22semidirect
74. C2×#14519770C22semidirect
75. C2×#14519770C22semidirect
76. C2×#14519770C22semidirect
77. C2×#14519769C22semidirect
78. C2×#14519767C22semidirect
79. C2×#14519767C22semidirect
80. C2×#14519767C22semidirect
81. C2×#14519764C22semidirect
82. C2×#14519764C22semidirect
83. C2×#14519764C22semidirect
84. C2×#14519763C22semidirect
85. C2×#14519763C22semidirect
86. C2×#14519763C22semidirect
87. #16840268C22semidirect
88. C2×#14519762C22semidirect
89. C2×#14519761C22semidirect
90. C2×#14519761C22semidirect
91. C2×#14519760C22semidirect
92. C2×#14519760C22semidirect
93. C2×#14519760C22semidirect
94. C2×#14519760C22semidirect
95. C2×#14519759C22semidirect
96. C2×#14519759C22semidirect
97. C2×#14519759C22semidirect
98. C2×#14519759C22semidirect
99. C2×#14519759C22semidirect
100. C2×#14519758C22semidirect
101. C2×#14519758C22semidirect
102. C2×#14519758C22semidirect
103. C2×#14519758C22semidirect
104. C2×#14519758C22semidirect
105. C2×#14519758C22semidirect
106. C2×#14519758C22semidirect
107. C2×#14519758C22semidirect
108. C2×#14519758C22semidirect
109. C2×#14519758C22semidirect
110. C2×#14519758C22semidirect
111. C2×#14519758C22semidirect
112. C2×#14519758C22semidirect
113. C2×#14519758C22semidirect
114. C2×#14519758C22semidirect
115. C2×#14519758C22semidirect
116. C2×#14519758C22semidirect
117. C2×#14519756C22semidirect
118. C2×#14519756C22semidirect
119. C2×#14519756C22semidirect
120. C2×#14519755C22semidirect
121. C2×#14519755C22semidirect
122. C2×#14519755C22semidirect
123. C2×#14519754C22semidirect
124. C2×#14519754C22semidirect
125. C2×#14519754C22semidirect
126. C2×#14519754C22semidirect
127. C2×#14519754C22semidirect
128. C2×#14519754C22semidirect
129. C2×#14519751C22semidirect
130. C2×#14519750C22semidirect
131. C2×#14519750C22semidirect
132. C2×#14519750C22semidirect
135. C2×#14519749C22semidirect
136. C2×#14519749C22semidirect
137. C2×#14519749C22semidirect
138. C2×#14519749C22semidirect
139. C2×#14519749C22semidirect
140. C2×#14519749C22semidirect
141. C2×#14519749C22semidirect
142. C2×#14519749C22semidirect
143. C2×#14519749C22semidirect
144. C2×#14519749C22semidirect
145. C2×#14519749C22semidirect
146. C2×#14519749C22semidirect
147. C2×#14519749C22semidirect
148. C2×#14519749C22semidirect
149. C2×#14519749C22semidirect
150. C2×#14519749C22semidirect
151. C2×#14519749C22semidirect
152. C2×#14519749C22semidirect
153. C2×#14519749C22semidirect
154. C2×#14519749C22semidirect
155. C2×#14519749C22semidirect
156. C2×#14519748C22semidirect
157. C2×#14519748C22semidirect
158. C2×#14519748C22semidirect
159. C2×#14519748C22semidirect
160. C2×#14519748C22semidirect
161. C2×#14519748C22semidirect
162. C2×#14519746C22semidirect
163. C2×#14519746C22semidirect
164. C2×#14519746C22semidirect
165. C2×#14519746C22semidirect
166. C2×#14519746C22semidirect
167. C2×#14519746C22semidirect
169. C2×#14519745C22semidirect
170. C2×#14519745C22semidirect
171. C2×#14519745C22semidirect
172. C2×#14519745C22semidirect
173. C2×#14519745C22semidirect
174. C2×D4×Dic61C22semidirect
175. C2×D4×Dic61C22semidirect
176. C2×D4×Dic61C22semidirect
177. C2×D4×Dic61C22semidirect
178. C2×D4×Dic61C22semidirect
179. C2×D4×Dic61C22semidirect
180. C2×C4×C22⋊D61C22semidirect
181. C2×C4×C22⋊D61C22semidirect
182. C2×C4×C22⋊D61C22semidirect
183. C2×C4×C22⋊D61C22semidirect
184. C2×#14519737C22semidirect
185. C2×#14519737C22semidirect
186. C2×#14519737C22semidirect
187. C2×#14519737C22semidirect
188. C2×#14519734C22semidirect
189. C2×#14519733C22semidirect
190. C2×#14519733C22semidirect
191. C22×#11758196C22semidirect
192. C22×#11758196C22semidirect
193. C22×#11758196C22semidirect
194. C22×C22⋊Dic61C22semidirect
195. C22×C22⋊Dic61C22semidirect
196. C22×C22⋊Dic61C22semidirect
197. C22×C22⋊Dic61C22semidirect
198. C22×C22⋊Dic61C22semidirect
199. C22×C22⋊Dic61C22semidirect
200. C22×#11758198C22semidirect
201. C2×C22⋊C4×D61C22semidirect
202. C2×C22⋊C4×D61C22semidirect
204. C23×D4×C61C22semidirect
205. C23×D4×C61C22semidirect
206. C23×D4×C61C22semidirect
207. D42×C61C22semidirect
208. C2×#127×C61C22semidirect
210. C2×#121×C61C22semidirect
211. C2×#121×C61C22semidirect
212. C2×#121×C61C22semidirect
214. C2×#120×C61C22semidirect
215. C2×#120×C61C22semidirect
216. C2×#120×C61C22semidirect
217. C2×C4×D4×C61C22semidirect
218. C2×C4×D4×C61C22semidirect
224. C2×#11758224C23semidirect
225. C2×#11758224C23semidirect
226. C2×#11758224C23semidirect
254. C22×C22⋊D61C23semidirect
255. C22×C22⋊D61C23semidirect
256. C22×C22⋊D61C23semidirect
258. C2×D4×D61C23semidirect
274. C23×Dic61C23semidirect
280. #14519773C23semidirect
281. #14519772C23semidirect
282. #14519771C23semidirect
283. #14519771C23semidirect
284. #14519770C23semidirect
285. #14519770C23semidirect
286. #14519770C23semidirect
287. #14519770C23semidirect
288. #14519770C23semidirect
289. #14519769C23semidirect
290. #14519767C23semidirect
291. #14519767C23semidirect
292. #14519767C23semidirect
293. #14519764C23semidirect
294. #14519764C23semidirect
295. #14519764C23semidirect
296. #14519763C23semidirect
297. #14519763C23semidirect
298. #14519763C23semidirect
299. #14519762C23semidirect
300. #14519761C23semidirect
301. #14519761C23semidirect
302. #14519760C23semidirect
303. #14519760C23semidirect
304. #14519760C23semidirect
305. #14519760C23semidirect
306. #14519759C23semidirect
307. #14519759C23semidirect
308. #14519759C23semidirect
309. #14519759C23semidirect
310. #14519759C23semidirect
311. #14519758C23semidirect
312. #14519758C23semidirect
313. #14519758C23semidirect
314. #14519758C23semidirect
315. #14519758C23semidirect
316. #14519758C23semidirect
317. #14519758C23semidirect
318. #14519758C23semidirect
319. #14519758C23semidirect
320. #14519758C23semidirect
321. #14519758C23semidirect
322. #14519758C23semidirect
323. #14519758C23semidirect
324. #14519758C23semidirect
325. #14519758C23semidirect
326. #14519758C23semidirect
327. #14519756C23semidirect
328. #14519756C23semidirect
329. #14519756C23semidirect
330. #14519755C23semidirect
331. #14519755C23semidirect
332. #14519755C23semidirect
333. #14519754C23semidirect
334. #14519754C23semidirect
335. #14519754C23semidirect
336. #14519754C23semidirect
337. #14519754C23semidirect
338. #14519754C23semidirect
339. #14519751C23semidirect
340. #14519750C23semidirect
341. #14519750C23semidirect
342. #14519750C23semidirect
345. #14519749C23semidirect
346. #14519749C23semidirect
347. #14519749C23semidirect
348. #14519749C23semidirect
349. #14519749C23semidirect
350. #14519749C23semidirect
351. #14519749C23semidirect
352. #14519749C23semidirect
353. #14519749C23semidirect
354. #14519749C23semidirect
355. #14519749C23semidirect
356. #14519749C23semidirect
357. #14519749C23semidirect
358. #14519749C23semidirect
359. #14519749C23semidirect
360. #14519749C23semidirect
361. #14519749C23semidirect
362. #14519749C23semidirect
363. #14519749C23semidirect
364. #14519749C23semidirect
365. #14519748C23semidirect
366. #14519748C23semidirect
367. #14519748C23semidirect
368. #14519748C23semidirect
369. #14519748C23semidirect
370. #14519748C23semidirect
371. #14519746C23semidirect
372. #14519746C23semidirect
373. #14519746C23semidirect
374. #14519746C23semidirect
375. #14519746C23semidirect
376. #14519746C23semidirect
378. #14519745C23semidirect
379. #14519745C23semidirect
380. #14519745C23semidirect
381. #14519745C23semidirect
382. #14519745C23semidirect
383. D4×Dic61C23semidirect
384. D4×Dic61C23semidirect
385. D4×Dic61C23semidirect
386. D4×Dic61C23semidirect
387. D4×Dic61C23semidirect
388. D4×Dic61C23semidirect
389. C4×C22⋊D61C23semidirect
390. C4×C22⋊D61C23semidirect
391. C4×C22⋊D61C23semidirect
392. C4×C22⋊D61C23semidirect
393. #14519737C23semidirect
394. #14519737C23semidirect
395. #14519737C23semidirect
396. #14519737C23semidirect
397. #14519734C23semidirect
398. #14519733C23semidirect
399. #14519733C23semidirect
428. C2×#11758196C23semidirect
429. C2×#11758196C23semidirect
430. C2×#11758196C23semidirect
459. C2×C22⋊Dic61C23semidirect
460. C2×C22⋊Dic61C23semidirect
461. C2×C22⋊Dic61C23semidirect
462. C2×C22⋊Dic61C23semidirect
463. C2×C22⋊Dic61C23semidirect
464. C2×C22⋊Dic61C23semidirect
479. C2×#11758198C23semidirect
480. C22⋊C4×D61C23semidirect
481. C22⋊C4×D61C23semidirect
512. C22×D4×C61C23semidirect
513. C22×D4×C61C23semidirect
514. C22×D4×C61C23semidirect
519. #127×C61C23semidirect
521. #121×C61C23semidirect
522. #121×C61C23semidirect
523. #121×C61C23semidirect
525. #120×C61C23semidirect
526. #120×C61C23semidirect
527. #120×C61C23semidirect
528. C4×D4×C61C23semidirect
529. C4×D4×C61C23semidirect
1083. C2×D42D61semidirect
1107. C2×C61#3534semidirect
1122. C23×D4C2×D61semidirect
1123. C23×D4C2×D61semidirect
1124. C23×D4C2×D61semidirect
1141. D42C2×D61semidirect
1155. C2×#127C2×D61semidirect
1250. C2×#121C2×D61semidirect
1251. C2×#121C2×D61semidirect
1252. C2×#121C2×D61semidirect
1266. C2×#120C2×D61semidirect
1267. C2×#120C2×D61semidirect
1268. C2×#120C2×D61semidirect
1283. C2×C4×D4C2×D61semidirect
1284. C2×C4×D4C2×D61semidirect
1300. C61C2×#3534semidirect
1366. C22×D4C22×D61semidirect
1367. C22×D4C22×D61semidirect
1368. C22×D4C22×D61semidirect
1395. #127C22×D61semidirect
1487. #121C22×D61semidirect
1488. #121C22×D61semidirect
1489. #121C22×D61semidirect
1503. #120C22×D61semidirect
1504. #120C22×D61semidirect
1505. #120C22×D61semidirect
1520. C4×D4C22×D61semidirect
1521. C4×D4C22×D61semidirect
2159. C2#21459997direct (N × H)

Maximal subgroups

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

subgroupindex
#214599972
C2×#168405072
C2×#168405012
C2×#168404992
C2×#168404612
C2×#168404552
C2×#168404432
C2×#168404412
C2×#168404062
C2×#168404012
C2×#168403992
C2×D4×C22⋊D612
C2×#168403662
C2×#168403622
C2×#168403572
C2×#168403542
C2×#168403472
C2×#168403442
C2×#168403392
C2×#168403222
C2×#168403212
C2×#168402682
C22×#145197582
C22×#145197492
C2×D42×C612
C2×#353461