Finite Group Databasebeta

← C2×#21460130 #30587154

Subgroups — C2×#21460130 #30587154

Order 15616.

8122 conjugacy classes of subgroups.

The subgroup lattice has 2160 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460130C2132yesmaximal, direct product factor
2C2×#16840509C211yesmaximal, characteristic, complemented
3C2×#16840507C211yesmaximal, characteristic, complemented
4C2×#16840501C211yesmaximal, characteristic, complemented
5C2×#16840500C211yesmaximal, characteristic, complemented
6C2×#16840476C211yesmaximal, characteristic, complemented
7C2×#16840457C211yesmaximal, characteristic, complemented
8C2×#16840449C211yesmaximal, characteristic, complemented
9C2×#16840438C211yesmaximal, characteristic, complemented
10C2×#16840435C211yesmaximal, characteristic, complemented
11C2×#16840430C211yesmaximal, characteristic, complemented
12C2×#16840410C211yesmaximal, characteristic, complemented
13C2×#16840406C211yesmaximal, characteristic, complemented
14C2×#16840404C211yesmaximal, characteristic, complemented
15C2×#16840402C211yesmaximal, characteristic, complemented
16C2×#16840399C211yesmaximal, characteristic, complemented
17C2×D4×C22⋊D61C211yesmaximal, characteristic, complemented
18C2×#16840380C211yesmaximal, characteristic, complemented
19C2×#16840365C211yesmaximal, characteristic, complemented
20C2×#16840364C211yesmaximal, characteristic, complemented
21C2×#16840362C211yesmaximal, characteristic, complemented
22C2×#16840347C211yesmaximal, characteristic, complemented
23C2×#16840344C211yesmaximal, characteristic, complemented
24C2×#16840341C211yesmaximal, characteristic, complemented
25C2×#16840329C211yesmaximal, characteristic, complemented
26C2×#16840327C211yesmaximal, characteristic, complemented
27C2×#16840327C211yesmaximal, characteristic, complemented
28C2×#16840322C211yesmaximal, characteristic, complemented
29C2×#16840268C211yesmaximal, characteristic, complemented
30C2×#16840268C211yesmaximal, characteristic, complemented
31C22×#14519749C211yesmaximal, characteristic, complemented
32C2×C61×#534C211yesmaximal, characteristic, complemented
33C22×#11758222C2211yescharacteristic, complemented
34C22×#11758222C2211yescharacteristic, complemented
35C22×#11758224C2211yescharacteristic, complemented
36C22×#11758224C2211yescharacteristic, complemented
37C22×#11758224C2211yescharacteristic, complemented
38C23×C22⋊D61C2211yescharacteristic
39C23×C22⋊D61C2211yescharacteristic, complemented
40C23×C22⋊D61C2211yescharacteristic, complemented
41C22×D4×D61C2211yescharacteristic
42C24×Dic61C2211yescharacteristic, complemented
43#16840509C22116yescomplemented
44#16840507C22116yescomplemented
45#16840501C22116yescomplemented
46#16840500C22116yescomplemented
47#16840476C22116yescomplemented
48#16840457C22116yescomplemented
49#16840449C22116yescomplemented
50#16840438C22116yescomplemented
51#16840435C22116yescomplemented
52#16840430C22116yescomplemented
53#16840410C22116yescomplemented
54#16840406C22116yescomplemented
55#16840404C22116yescomplemented
56#16840402C22116yescomplemented
57#16840399C22116yescomplemented
58D4×C22⋊D61C22116yescomplemented
59#16840380C22116yescomplemented
60#16840365C22116yescomplemented
61#16840364C22116yescomplemented
62#16840362C22116yescomplemented
63#16840347C22116yescomplemented
64#16840344C22116yescomplemented
65#16840341C22116yescomplemented
66#16840329C22116yescomplemented
67#16840327C22116yescomplemented
68#16840327C22116yescomplemented
69#16840322C22116yescomplemented
70C2×#14519776C2211yescharacteristic, complemented
71C2×#14519773C2211yescharacteristic, complemented
72C2×#14519773C2211yescharacteristic, complemented
73C2×#14519773C2211yescharacteristic, complemented
74C2×#14519773C2211yescharacteristic, complemented
75C2×#14519773C2211yescharacteristic, complemented
76C2×#14519772C2211yescharacteristic, complemented
77C2×#14519772C2211yescharacteristic, complemented
78C2×#14519770C2211yescharacteristic, complemented
79C2×#14519770C2211yescharacteristic, complemented
80C2×#14519770C2211yescharacteristic, complemented
81C2×#14519770C2211yescharacteristic, complemented
82C2×#14519768C2211yescharacteristic, complemented
83C2×#14519767C2211yescharacteristic, complemented
84C2×#14519767C2211yescharacteristic, complemented
85C2×#14519764C2211yescharacteristic, complemented
86C2×#14519764C2211yescharacteristic, complemented
87C2×#14519764C2211yescharacteristic, complemented
88C2×#14519763C2211yescharacteristic, complemented
89C2×#14519763C2211yescharacteristic, complemented
90C2×#14519763C2211yescharacteristic, complemented
91C2×#14519763C2211yescharacteristic, complemented
92C2×#14519763C2211yescharacteristic, complemented
93C2×#14519763C2211yescharacteristic, complemented
94#16840268C22116yescomplemented
95#16840268C22116yescomplemented
96C2×#14519762C2211yescharacteristic, complemented
97C2×#14519762C2211yescharacteristic, complemented
98C2×#14519761C2211yescharacteristic, complemented
99C2×#14519761C2211yescharacteristic, complemented
100C2×#14519761C2211yescharacteristic, complemented
101C2×#14519761C2211yescharacteristic, complemented
102C2×#14519760C2211yescharacteristic, complemented
103C2×#14519760C2211yescharacteristic, complemented
104C2×#14519759C2211yescharacteristic, complemented
105C2×#14519759C2211yescharacteristic, complemented
106C2×#14519759C2211yescharacteristic, complemented
107C2×#14519759C2211yescharacteristic, complemented
108C2×#14519759C2211yescharacteristic, complemented
109C2×#14519759C2211yescharacteristic, complemented
110C2×#14519758C2211yescharacteristic
111C2×#14519758C2211yescharacteristic, complemented
112C2×#14519758C2211yescharacteristic, complemented
113C2×#14519758C2211yescharacteristic, complemented
114C2×#14519757C2211yescharacteristic, complemented
115C2×#14519756C2211yescharacteristic, complemented
116C2×#14519756C2211yescharacteristic, complemented
117C2×#14519755C2211yescharacteristic, complemented
118C2×#14519755C2211yescharacteristic, complemented
119C2×#14519754C2211yescharacteristic, complemented
120C2×#14519754C2211yescharacteristic, complemented
121C2×#14519754C2211yescharacteristic, complemented
122C2×#14519754C2211yescharacteristic, complemented
123C2×#14519754C2211yescharacteristic, complemented
124C2×#14519754C2211yescharacteristic, complemented
125C2×#14519752C2211yescharacteristic, complemented
126C2×#14519751C2211yescharacteristic, complemented
127C2×#14519751C2211yescharacteristic, complemented
128C2×#14519750C2211yescharacteristic, complemented
129C2×#14519750C2211yescharacteristic, complemented
130C2×#14519750C2211yescharacteristic, complemented
131C2×#14519750C2211yescharacteristic, complemented
132C2×#14519750C2211yescharacteristic, complemented
133C2×#14519750C2211yescharacteristic, complemented
134C2×#14519750C2211yescharacteristic, complemented
135C2×#14519750C2211yescharacteristic, complemented
136C2×#14519749C2211yescharacteristic
137C2×#14519749C2211yescharacteristic
138C2×#14519749C2211yescharacteristic
139C2×#14519749C2211yescharacteristic
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×#14519749C22116yescomplemented
153C2×#14519748C2211yescharacteristic, complemented
154C2×#14519748C2211yescharacteristic, complemented
155C2×#14519748C2211yescharacteristic, complemented
156C2×#14519748C2211yescharacteristic, complemented
157C2×#14519748C2211yescharacteristic, complemented
158C2×#14519748C2211yescharacteristic, complemented
159C2×#14519748C2211yescharacteristic, complemented
160C2×#14519748C2211yescharacteristic, complemented
161C2×#14519747C2211yescharacteristic, complemented
162C2×#14519747C2211yescharacteristic, complemented
163C2×#14519746C2211yescharacteristic
164C2×#14519746C2211yescharacteristic, complemented
165C2×#14519746C2211yescharacteristic, complemented
166C2×#14519746C2211yescharacteristic, complemented
167C2×#14519746C2211yescharacteristic, complemented
168C2×#14519746C2211yescharacteristic, complemented
169C2×#14519745C2211yescharacteristic
170C2×#14519745C2211yescharacteristic, complemented
171C2×#14519745C2211yescharacteristic, complemented
172C2×#14519745C2211yescharacteristic, complemented
173C2×#14519742C2211yescharacteristic, complemented
174C2×D4×Dic61C2211yescharacteristic
175C2×D4×Dic61C2211yescharacteristic, complemented
176C2×D4×Dic61C2211yescharacteristic, complemented
177C2×D4×Dic61C2211yescharacteristic, complemented
178C2×#14519739C2211yescharacteristic, complemented
179C2×C4×C22⋊D61C2211yescharacteristic, complemented
180C2×C4×C22⋊D61C2211yescharacteristic, complemented
181C2×C4×C22⋊D61C2211yescharacteristic, complemented
182C2×C4×C22⋊D61C2211yescharacteristic, complemented
183C2×#14519737C2211yescharacteristic, complemented
184C2×#14519737C2211yescharacteristic, complemented
185C2×#14519737C2211yescharacteristic, complemented
186C2×#14519737C2211yescharacteristic, complemented
187C2×#14519737C2211yescharacteristic, complemented
188C2×#14519737C2211yescharacteristic, complemented
189C2×#14519736C2211yescharacteristic, complemented
190C2×#14519736C2211yescharacteristic, complemented
191C2×#14519735C2211yescharacteristic, complemented
192C2×#14519733C2211yescharacteristic, complemented
193C2×#14519733C2211yescharacteristic, complemented
194C2×#14519733C2211yescharacteristic, complemented
195C2×#14519733C2211yescharacteristic, complemented
196C22×#11758196C2211yescharacteristic, complemented
197C2×C4⋊C4×D61C2211yescharacteristic, 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
205C61×#534C22116yescomplemented
206C2×#123×C61C2211yescharacteristic
207C2×#123×C61C2211yescharacteristic, complemented
208C2×#123×C61C2211yescharacteristic, complemented
209C2×#123×C61C2211yescharacteristic, complemented
210C2×#121×C61C2211yescharacteristic, complemented
211C2×#121×C61C2211yescharacteristic, complemented
212C2×#121×C61C2211yescharacteristic, complemented
213C2×#121×C61C2211yescharacteristic, complemented
214C2×#120×C61C2211yescharacteristic
215C2×#120×C61C2211yescharacteristic, complemented
216C2×#120×C61C2211yescharacteristic, complemented
217C2×#120×C61C2211yescharacteristic, complemented
218C22×C22⋊C4×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C24×D61C2311yescharacteristic
221C2×#11758222—44no—
222C2×#11758222—44no—
223C2×#11758222C2318yescomplemented
224C2×#11758222C2318yescomplemented
225C2×#11758224—44no—
226C2×#11758224—44no—
227C2×#11758224—44no—
228C2×#11758224C2318yescomplemented
229C2×#11758224C2318yescomplemented
230C2×#11758224C2318yescomplemented
231C22×Dic122C2311yescharacteristic
232C22×Dic122C2311yescharacteristic
233C22×Dic122C2311yescharacteristic
234C22×Dic122C2311yescharacteristic
235C22×D244C2311yescharacteristic
236C22×D244C2311yescharacteristic
237C22×D244C2311yescharacteristic
238C22×D244C2311yescharacteristic
239C22×C22⋊D61—44no—
240C22×C22⋊D61—44no—
241C22×C22⋊D61—44no—
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⋊D61C2311yescharacteristic
255C22×C22⋊D61C2311yescharacteristic
256C22×C22⋊D61C2311yescharacteristic
257C22×C22⋊D61C2311yescharacteristic
258C22×C22⋊D61C2311yescharacteristic
259C22×C22⋊D61C2311yescharacteristic
260C22×C22⋊D61C2311yescharacteristic
261C22×C22⋊D61C2311yescharacteristic
262C22×C22⋊D61C2311yescharacteristic
263C22×C22⋊D61C2311yescharacteristic
264C22×C22⋊D61C2311yescharacteristic
265C22×C22⋊D61C2311yescharacteristic
266C22×C22⋊D61C2318yes—
267C22×C22⋊D61C2318yescomplemented
268C22×C22⋊D61C2318yescomplemented
269C2×D4×D61—44no—
270C2×D4×D61C2318yes—
271C23×Dic61—44no—
272C23×Dic61C2311yescharacteristic
273C23×Dic61C2311yescharacteristic
274C23×Dic61C2311yescharacteristic
275C23×Dic61C2311yescharacteristic
276C23×Dic61C2311yescharacteristic
277C23×Dic61C2311yescharacteristic
278C23×Dic61C2311yescharacteristic
279C23×Dic61C2311yescharacteristic
280C23×Dic61C2311yescharacteristic
281C23×Dic61C2311yescharacteristic
282C23×Dic61C2318yescomplemented
283C22×C4×D61C2311yescharacteristic
284C22×C4×D61C2311yescharacteristic
285C22×C4×D61C2311yescharacteristic
286C22×C4×D61C2311yescharacteristic
287C22×C4×D61C2311yescharacteristic
288C22×C4×D61C2311yescharacteristic
289C22×C4×D61C2311yescharacteristic
290C22×C4×D61C2311yescharacteristic
291#14519776C2318yescomplemented
292#14519773C2318yescomplemented
293#14519773C2318yescomplemented
294#14519773C2318yescomplemented
295#14519773C2318yescomplemented
296#14519773C2318yescomplemented
297#14519772C2318yescomplemented
298#14519772C2318yescomplemented
299#14519770C2318yescomplemented
300#14519770C2318yescomplemented
301#14519770C2318yescomplemented
302#14519770C2318yescomplemented
303#14519768C2318yescomplemented
304#14519767C2318yescomplemented
305#14519767C2318yescomplemented
306#14519764C2318yescomplemented
307#14519764C2318yescomplemented
308#14519764C2318yescomplemented
309#14519763C2318yescomplemented
310#14519763C2318yescomplemented
311#14519763C2318yescomplemented
312#14519763C2318yescomplemented
313#14519763C2318yescomplemented
314#14519763C2318yescomplemented
315#14519762C2318yescomplemented
316#14519762C2318yescomplemented
317#14519761C2318yescomplemented
318#14519761C2318yescomplemented
319#14519761C2318yescomplemented
320#14519761C2318yescomplemented
321#14519760C2318yescomplemented
322#14519760C2318yescomplemented
323#14519759C2318yescomplemented
324#14519759C2318yescomplemented
325#14519759C2318yescomplemented
326#14519759C2318yescomplemented
327#14519759C2318yescomplemented
328#14519759C2318yescomplemented
329#14519758C2318yes—
330#14519758C2318yescomplemented
331#14519758C2318yescomplemented
332#14519758C2318yescomplemented
333#14519757C2318yescomplemented
334#14519756C2318yescomplemented
335#14519756C2318yescomplemented
336#14519755C2318yescomplemented
337#14519755C2318yescomplemented
338#14519754C2318yescomplemented
339#14519754C2318yescomplemented
340#14519754C2318yescomplemented
341#14519754C2318yescomplemented
342#14519754C2318yescomplemented
343#14519754C2318yescomplemented
344#14519752C2318yescomplemented
345#14519751C2318yescomplemented
346#14519751C2318yescomplemented
347#14519750C2318yescomplemented
348#14519750C2318yescomplemented
349#14519750C2318yescomplemented
350#14519750C2318yescomplemented
351#14519750C2318yescomplemented
352#14519750C2318yescomplemented
353#14519750C2318yescomplemented
354#14519750C2318yescomplemented
355#14519749C2318yes—
356#14519749C2318yes—
357#14519749C2318yes—
358#14519749C2318yes—
359#14519749C2318yescomplemented
360#14519749C2318yescomplemented
361#14519749C2318yescomplemented
362#14519749C2318yescomplemented
363#14519749C2318yescomplemented
364#14519749C2318yescomplemented
365#14519749C2318yescomplemented
366#14519749C2318yescomplemented
367#14519749C2318yescomplemented
368#14519749C2318yescomplemented
369#14519749C2318yescomplemented
370#14519749C2318yescomplemented
371#14519748C2318yescomplemented
372#14519748C2318yescomplemented
373#14519748C2318yescomplemented
374#14519748C2318yescomplemented
375#14519748C2318yescomplemented
376#14519748C2318yescomplemented
377#14519748C2318yescomplemented
378#14519748C2318yescomplemented
379#14519747C2318yescomplemented
380#14519747C2318yescomplemented
381#14519746C2318yes—
382#14519746C2318yescomplemented
383#14519746C2318yescomplemented
384#14519746C2318yescomplemented
385#14519746C2318yescomplemented
386#14519746C2318yescomplemented
387#14519745C2318yes—
388#14519745C2318yescomplemented
389#14519745C2318yescomplemented
390#14519745C2318yescomplemented
391#14519742C2318yescomplemented
392D4×Dic61C2318yes—
393D4×Dic61C2318yescomplemented
394D4×Dic61C2318yescomplemented
395D4×Dic61C2318yescomplemented
396#14519739C2318yescomplemented
397C4×C22⋊D61C2318yescomplemented
398C4×C22⋊D61C2318yescomplemented
399C4×C22⋊D61C2318yescomplemented
400C4×C22⋊D61C2318yescomplemented
401#14519737C2318yescomplemented
402#14519737C2318yescomplemented
403#14519737C2318yescomplemented
404#14519737C2318yescomplemented
405#14519737C2318yescomplemented
406#14519737C2318yescomplemented
407#14519736C2318yescomplemented
408#14519736C2318yescomplemented
409#14519735C2318yescomplemented
410#14519733C2318yescomplemented
411#14519733C2318yescomplemented
412#14519733C2318yescomplemented
413#14519733C2318yescomplemented
414C2×C4⋊Dic61C2311yescharacteristic
415C2×C4⋊Dic61C2311yescharacteristic
416C2×C4⋊Dic61C2311yescharacteristic
417C2×C4⋊Dic61C2311yescharacteristic
418C2×C4⋊Dic61C2311yescharacteristic
419C2×C4⋊Dic61C2311yescharacteristic
420C2×C4⋊Dic61C2311yescharacteristic
421C2×C4⋊Dic61C2311yescharacteristic
422C2×#11758196C2311yescharacteristic
423C2×#11758196C2311yescharacteristic
424C2×#11758196C2311yescharacteristic
425C2×#11758196C2311yescharacteristic
426C2×#11758196C2311yescharacteristic
427C2×#11758196C2311yescharacteristic
428C2×#11758196C2311yescharacteristic
429C2×#11758196C2311yescharacteristic
430C2×#11758196C2311yescharacteristic
431C2×#11758196C2311yescharacteristic
432C2×#11758196C2311yescharacteristic
433C2×#11758196C2311yescharacteristic
434C2×#11758196C2311yescharacteristic
435C2×#11758196C2311yescharacteristic
436C2×#11758196C2311yescharacteristic
437C2×#11758196C2311yescharacteristic
438C2×#11758196C2318yescomplemented
439C4⋊C4×D61C2318yescomplemented
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⋊Dic61C2311yescharacteristic
460C2×C22⋊Dic61C2318yescomplemented
461C2×C22⋊Dic61C2318yescomplemented
462C2×#11758198C2311yescharacteristic
463C2×#11758198C2311yescharacteristic
464C2×#11758198C2311yescharacteristic
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×#11758198C2318yescomplemented
479C22⋊C4×D61C2318yescomplemented
480C22⋊C4×D61C2318yescomplemented
481C2×C4×Dic61C2311yescharacteristic
482C2×C4×Dic61C2311yescharacteristic
483C2×C4×Dic61C2311yescharacteristic
484C2×C4×Dic61C2311yescharacteristic
485C2×C4×Dic61C2311yescharacteristic
486C2×C4×Dic61C2311yescharacteristic
487C2×C4×Dic61C2311yescharacteristic
488C2×C4×Dic61C2311yescharacteristic
489C25×C61C2311yescharacteristic
490C25×C61C2311yescharacteristic
491C25×C61C2311yescharacteristic
492C22×D4×C61—44no—
493C22×D4×C61—44no—
494C22×D4×C61C2311yescharacteristic
495C22×D4×C61C2311yescharacteristic
496C22×D4×C61C2318yes—
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×C61C2318yescomplemented
508C23×C4×C61C2311yescharacteristic
509C23×C4×C61C2311yescharacteristic
510C23×C4×C61C2311yescharacteristic
511C23×C4×C61C2311yescharacteristic
512#123×C61C2318yes—
513#123×C61C2318yescomplemented
514#123×C61C2318yescomplemented
515#123×C61C2318yescomplemented
516#121×C61C2318yescomplemented
517#121×C61C2318yescomplemented
518#121×C61C2318yescomplemented
519#121×C61C2318yescomplemented
520#120×C61C2318yes—
521#120×C61C2318yescomplemented
522#120×C61C2318yescomplemented
523#120×C61C2318yescomplemented
524C2×C4⋊C4×C61C2311yescharacteristic
525C2×C4⋊C4×C61C2311yescharacteristic
526C2×C4⋊C4×C61C2311yescharacteristic
527C2×C4⋊C4×C61C2311yescharacteristic
528C2×C22⋊C4×C61C2311yescharacteristic
529C2×C22⋊C4×C61C2311yescharacteristic
530C2×C22⋊C4×C61C2311yescharacteristic
531C2×C22⋊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×C22⋊C4×C61C2318yescomplemented
541C24×C61—24no—
542C24×C61—24no—
543C24×C61—42no—
544C24×C61—42no—
545C24×C61—42no—
546C24×C61—42no—
547C24×C61—42no—
548C24×C61—42no—
549C24×C61—42no—
550C24×C61C2411yescharacteristic
551C24×C61C2411yescharacteristic
552C24×C61C2411yescharacteristic
553C24×C61C2411yescharacteristic
554C24×C61C2411yescharacteristic
555C24×C61C2411yescharacteristic
556C24×C61C2411yescharacteristic
557C24×C61C2414yes—
558C24×C61C2414yes—
559C24×C61C2414yes—
560C23×D61—24no—
561C23×D61—42no—
562C23×D61—42no—
563C23×D61—42no—
564C23×D61—42no—
565C23×D61—42no—
566C23×D61C2411yescharacteristic
567C23×D61C2411yescharacteristic
568C23×D61C2411yescharacteristic
569C23×D61C2411yescharacteristic
570C23×D61C2414yes—
571C23×D61C2414yes—
572C2×D4×C61—24no—
573C2×D4×C61—24no—
574C2×D4×C61—42no—
575C2×D4×C61—42no—
576C2×D4×C61—42no—
577C2×D4×C61—42no—
578C2×D4×C61—42no—
579C2×D4×C61—42no—
580C2×D4×C61—42no—
581C2×D4×C61—42no—
582C2×D4×C61—416no—
583C2×D4×C61—42no—
584C2×D4×C61—42no—
585C2×D4×C61—416no—
586C2×D4×C61C2414yes—
587C2×D4×C61C2414yes—
588C2×D4×C61C2414yes—
589C2×D4×C61C2414yes—
590C2×D4×C61C2414yes—
591C2×D4×C61C2414yes—
592C2×D4×C61C2414yes—
593C2×D4×C61C2414yes—
594C2×D4×C61C2414yes—
595C2×D4×C61C2414yes—
596C2×D4×C61C2414yes—
597C2×D4×C61C2414yes—
598C22×C4×C61—24no—
599C22×C4×C61—42no—
600C22×C4×C61—42no—
601C22×C4×C61—42no—
602C22×C4×C61C2411yescharacteristic
603C22×C4×C61C2411yescharacteristic
604C22×C4×C61C2411yescharacteristic
605C22×C4×C61C2411yescharacteristic
606C22×C4×C61C2411yescharacteristic
607C22×C4×C61C2411yescharacteristic
608C22×C4×C61C2411yescharacteristic
609C22×C4×C61C2411yescharacteristic
610C22×C4×C61C2414yes—
611C22×C4×C61C2414yes—
612C22×C4×C61C2414yes—
613C22×C4×C61C2414yes—
614C2×C22⋊D61—24no—
615C2×C22⋊D61—24no—
616C2×C22⋊D61—24no—
617C2×C22⋊D61—24no—
618C2×C22⋊D61—24no—
619C2×C22⋊D61—416no—
620C2×C22⋊D61—416no—
621C2×C22⋊D61—42no—
622C2×C22⋊D61—42no—
623C2×C22⋊D61—42no—
624C2×C22⋊D61—42no—
625C2×C22⋊D61—42no—
626C2×C22⋊D61—42no—
627C2×C22⋊D61—42no—
628C2×C22⋊D61—42no—
629C2×C22⋊D61—42no—
630C2×C22⋊D61—416no—
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—42no—
641C2×C22⋊D61C2414yes—
642C2×C22⋊D61C2414yes—
643C2×C22⋊D61C2414yes—
644C2×C22⋊D61C2414yes—
645C2×C22⋊D61C2414yes—
646C2×C22⋊D61C2414yes—
647C2×C22⋊D61C2414yes—
648C2×C22⋊D61C2414yes—
649C2×C22⋊D61C2414yes—
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—
665C22×Dic61—24no—
666C22×Dic61—24no—
667C22×Dic61—24no—
668C22×Dic61—24no—
669C22×Dic61—24no—
670C22×Dic61—416no—
671C22×Dic61—42no—
672C22×Dic61—42no—
673C22×Dic61—42no—
674C22×Dic61—42no—
675C22×Dic61—42no—
676C22×Dic61C2411yescharacteristic
677C22×Dic61C2411yescharacteristic
678C22×Dic61C2411yescharacteristic
679C22×Dic61C2411yescharacteristic
680C22×Dic61C2411yescharacteristic
681C22×Dic61C2411yescharacteristic
682C22×Dic61C2411yescharacteristic
683C22×Dic61C2411yescharacteristic
684C22×Dic61C2414yes—
685C22×Dic61C2414yes—
686C22×Dic61C2414yes—
687C22×Dic61C2411yescharacteristic
688C22×Dic61C2411yescharacteristic
689C22×Dic61C2414yes—
690C22×Dic61C2414yes—
691C22×Dic61C2411yescharacteristic
692C22×Dic61C2414yes—
693C22×Dic61C2414yes—
694C22×Dic61C2414yes—
695C22×Dic61C2414yes—
696C22×Dic61C2414yes—
697C22×Dic61C2411yescharacteristic
698#11758224—416no—
699#11758224—416no—
700#11758224—416no—
701D4×D61—416no—
702#11758222—416no—
703#11758222—416no—
704C2×D244—42no—
705C2×D244—42no—
706C2×D244—42no—
707C2×D244—42no—
708C2×D244C2414yes—
709C2×D244C2414yes—
710C2×D244C2414yes—
711C2×D244C2414yes—
712C2×C4×D61—24no—
713C2×C4×D61—42no—
714C2×C4×D61—42no—
715C2×C4×D61—42no—
716C2×C4×D61—42no—
717C2×C4×D61—42no—
718C2×C4×D61—42no—
719C2×C4×D61—42no—
720C2×C4×D61C2414yes—
721C2×C4×D61C2414yes—
722C2×C4×D61C2414yes—
723C2×C4×D61C2414yes—
724C2×C4×D61C2414yes—
725C2×C4×D61C2414yes—
726C2×C4×D61C2414yes—
727C2×C4×D61C2414yes—
728C2×Dic122—24no—
729C2×Dic122—42no—
730C2×Dic122—42no—
731C2×Dic122—42no—
732C2×Dic122C2414yes—
733C2×Dic122C2414yes—
734C2×Dic122C2414yes—
735C2×Dic122C2414yes—
736C4⋊C4×C61C2414yes—
737C4⋊C4×C61C2414yes—
738C4⋊C4×C61C2414yes—
739C4⋊C4×C61C2414yes—
740C22⋊C4×C61C2414yes—
741C22⋊C4×C61C2414yes—
742C22⋊C4×C61C2414yes—
743C22⋊C4×C61C2414yes—
744C22⋊C4×C61C2414yes—
745C22⋊C4×C61C2414yes—
746C22⋊C4×C61C2414yes—
747C22⋊C4×C61C2414yes—
748C22⋊C4×C61C2414yes—
749C22⋊C4×C61C2414yes—
750C22⋊C4×C61C2414yes—
751C22⋊C4×C61C2414yes—
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—
772#11758198C2414yes—
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—
787#11758198C2414yes—
788C4⋊Dic61C2414yes—
789C4⋊Dic61C2414yes—
790C4⋊Dic61C2414yes—
791C4⋊Dic61C2414yes—
792C4⋊Dic61C2414yes—
793C4⋊Dic61C2414yes—
794C4⋊Dic61C2414yes—
795C4⋊Dic61C2414yes—
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—
812C4×Dic61C2414yes—
813C4×Dic61C2414yes—
814C4×Dic61C2414yes—
815C4×Dic61C2414yes—
816C4×Dic61C2414yes—
817C4×Dic61C2414yes—
818C4×Dic61C2414yes—
819C4×Dic61C2414yes—
820C23×C61—22no—
821C23×C61—22no—
822C23×C61—22no—
823C23×C61—22no—
824C23×C61—22no—
825C23×C61—22no—
826C23×C61—22no—
827C23×C61—22no—
828C23×C61—22no—
829C23×C61—28no—
830C23×C61—22no—
831C23×C61—22no—
832C23×C61—22no—
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—28no—
842C23×C61—44no—
843C23×C61—44no—
844C23×C61—44no—
845C23×C61—44no—
846C23×C61—44no—
847C23×C61—44no—
848C23×C61—44no—
849C23×C61—416no—
850C23×C61—88no—
851C23×C61—88no—
852C23×C61H(5,𝔽2)14yes—
853C23×C61C2512yes—
854C23×C61C2512yes—
855C23×C61C2512yes—
856C23×C61C2512yes—
857C23×C61C2512yes—
858C23×C61C2512yes—
859C23×C61C2512yes—
860C23×C61C2511yescharacteristic
861C22×D61—22no—
862C22×D61—22no—
863C22×D61—22no—
864C22×D61—22no—
865C22×D61—22no—
866C22×D61—22no—
867C22×D61—22no—
868C22×D61—22no—
869C22×D61—22no—
870C22×D61—22no—
871C22×D61—22no—
872C22×D61—22no—
873C22×D61—28no—
874C22×D61—44no—
875C22×D61—44no—
876C22×D61—44no—
877C22×D61—44no—
878C22×D61—44no—
879C22×D61—88no—
880C22×D61—88no—
881C22×D61C2512yes—
882C22×D61C2512yes—
883C22×D61C2512yes—
884C22×D61C2512yes—
885D4×C61—28no—
886D4×C61—28no—
887D4×C61—44no—
888D4×C61—44no—
889D4×C61—44no—
890D4×C61—44no—
891D4×C61—44no—
892D4×C61—44no—
893D4×C61—44no—
894D4×C61—44no—
895D4×C61—44no—
896D4×C61—44no—
897C2×C4×C61—22no—
898C2×C4×C61—22no—
899C2×C4×C61—22no—
900C2×C4×C61—22no—
901C2×C4×C61—22no—
902C2×C4×C61—22no—
903C2×C4×C61—28no—
904C2×C4×C61—22no—
905C2×C4×C61—22no—
906C2×C4×C61—44no—
907C2×C4×C61—44no—
908C2×C4×C61—44no—
909C2×C4×C61C2512yes—
910C2×C4×C61C2512yes—
911C2×C4×C61C2512yes—
912C2×C4×C61C2512yes—
913C2×C4×C61C2512yes—
914C2×C4×C61C2512yes—
915C2×C4×C61C2512yes—
916C2×C4×C61C2512yes—
917C22⋊D61—28no—
918C22⋊D61—28no—
919C22⋊D61—28no—
920C22⋊D61—28no—
921C22⋊D61—28no—
922C22⋊D61—44no—
923C22⋊D61—44no—
924C22⋊D61—44no—
925C22⋊D61—44no—
926C22⋊D61—44no—
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—
941C2×Dic61—22no—
942C2×Dic61—22no—
943C2×Dic61—22no—
944C2×Dic61—22no—
945C2×Dic61—22no—
946C2×Dic61—22no—
947C2×Dic61—22no—
948C2×Dic61—22no—
949C2×Dic61—28no—
950C2×Dic61—22no—
951C2×Dic61—22no—
952C2×Dic61—22no—
953C2×Dic61—28no—
954C2×Dic61—28no—
955C2×Dic61—28no—
956C2×Dic61—28no—
957C2×Dic61—44no—
958C2×Dic61—44no—
959C2×Dic61—44no—
960C2×Dic61—44no—
961C2×Dic61—44no—
962C2×Dic61H(5,𝔽2)14yes—
963C2×Dic61C2512yes—
964C2×Dic61C2512yes—
965C2×Dic61C2512yes—
966C2×Dic61C2512yes—
967C2×Dic61C2512yes—
968C2×Dic61C2512yes—
969C2×Dic61C2512yes—
970C2×Dic61C2512yes—
971C2×Dic61C2512yes—
972C2×Dic61C2512yes—
973C2×Dic61C2512yes—
974C2×Dic61C2512yes—
975D244—44no—
976D244—44no—
977D244—44no—
978D244—44no—
979C4×D61—28no—
980C4×D61—44no—
981C4×D61—44no—
982C4×D61—44no—
983C4×D61—44no—
984C4×D61—44no—
985C4×D61—44no—
986C4×D61—44no—
987Dic122—28no—
988Dic122—44no—
989Dic122—44no—
990Dic122—44no—
991C2×#3542—611nomaximal, Sylow
992C22×C61—22no—
993C22×C61—22no—
994C22×C61—28no—
995C22×C61—22no—
996C22×C61—22no—
997C22×C61—22no—
998C22×C61—22no—
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—416no—
1014C22×C61—44no—
1015C22×C61—44no—
1016C22×C61—44no—
1017C22×C61—44no—
1018C22×C61—44no—
1019C22×C61—44no—
1020C22×C61—88no—
1021C22×C61—88no—
1022C22×C61C2×H(5,𝔽2)12yes—
1023C22×C61C2×H(5,𝔽2)14yes—
1024C22×C61C2×H(5,𝔽2)12yes—
1025C22×C61#58512yes—
1026C22×C61C2611yescharacteristic
1027C2×D61—22no—
1028C2×D61—22no—
1029C2×D61—22no—
1030C2×D61—22no—
1031C2×D61—22no—
1032C2×D61—22no—
1033C2×D61—22no—
1034C2×D61—22no—
1035C2×D61—22no—
1036C2×D61—22no—
1037C2×D61—22no—
1038C2×D61—22no—
1039C2×D61—44no—
1040C2×D61—44no—
1041C2×D61—44no—
1042C2×D61—44no—
1043C2×D61—88no—
1044C2×D61—88no—
1045C4×C61—22no—
1046C4×C61—22no—
1047C4×C61—22no—
1048C4×C61—22no—
1049C4×C61—22no—
1050C4×C61—22no—
1051C4×C61—22no—
1052C4×C61—22no—
1053Dic61—22no—
1054Dic61—22no—
1055Dic61—22no—
1056Dic61—22no—
1057Dic61—22no—
1058Dic61—22no—
1059Dic61—22no—
1060Dic61—22no—
1061Dic61—22no—
1062Dic61—22no—
1063Dic61—22no—
1064Dic61C2×H(5,𝔽2)14yes—
1065#3542—6132no—
1066C2×#562—611no—
1067C2×#562—611no—
1068C2×#560—611no—
1069C2×#560—611no—
1070C2×#555—611no—
1071C2×#553—611no—
1072C2×#552—611no—
1073C2×#551—611no—
1074C2×#551—611no—
1075C2×#550—611no—
1076C2×#547—611no—
1077C2×#546—611no—
1078C2×#546—611no—
1079C2×#546—611no—
1080C2×#546—611no—
1081C2×D42—611no—
1082C2×#542—611no—
1083C2×#540—611no—
1084C2×#540—611no—
1085C2×#540—611no—
1086C2×#538—611no—
1087C2×#538—611no—
1088C2×#537—611no—
1089C2×#535—611no—
1090C2×#535—611no—
1091C2×#535—611no—
1092C2×#534—611no—
1093C2×#534D6111yescharacteristic, complemented
1094C2×#525—611no—
1095C2×#525—611no—
1096C22×#121—611no—
1097C2×C61—24no—
1098C2×C61—42no—
1099C2×C61—42no—
1100C2×C61—42no—
1101C2×C61—42no—
1102C2×C61—42no—
1103C2×C61—42no—
1104C2×C61#354214yescomplemented
1105C2×C61C22×H(5,𝔽2)11yescharacteristic
1106C2×C61C22×H(5,𝔽2)11yescharacteristic
1107C2×C61C2×#58511yescharacteristic
1108D61—42no—
1109D61—42no—
1110D61—42no—
1111D61—42no—
1112C22×#41—611no—
1113C22×#41—611no—
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
1123C24×C4—611no—
1124#562—6116no—
1125#562—6116no—
1126#560—6116no—
1127#560—6116no—
1128#555—6116no—
1129#553—6116no—
1130#552—6116no—
1131#551—6116no—
1132#551—6116no—
1133#550—6116no—
1134#547—6116no—
1135#546—6116no—
1136#546—6116no—
1137#546—6116no—
1138#546—6116no—
1139D42—6116no—
1140#542—6116no—
1141#540—6116no—
1142#540—6116no—
1143#540—6116no—
1144#538—6116no—
1145#538—6116no—
1146#537—6116no—
1147#535—6116no—
1148#535—6116no—
1149#535—6116no—
1150#534—6116no—
1151#534C2×D61116yescomplemented
1152C2×C4⋊Q8—611no—
1153C2×#127—611no—
1154C2×#127—611no—
1155C2×#127—611no—
1156C2×#127—611no—
1157C2×#127—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×#124—611no—
1168C2×#124—611no—
1169C2×#124—611no—
1170C2×#124—611no—
1171C2×#124—611no—
1172C2×#124—611no—
1173C2×#124—611no—
1174C2×#124—611no—
1175C2×#124—611no—
1176#525—6116no—
1177#525—6116no—
1178C2×#123—611no—
1179C2×#123—611no—
1180C2×#123—611no—
1181C2×#123—611no—
1182C2×#123—611no—
1183C2×#123—611no—
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×#123C2×D6111yescharacteristic
1197C2×#123C2×D6111yescharacteristic, complemented
1198C2×#123C2×D6111yescharacteristic, complemented
1199C2×#123C2×D6111yescharacteristic, complemented
1200C2×C22⋊Q8—611no—
1201C2×C22⋊Q8—611no—
1202C2×C22⋊Q8—611no—
1203C2×C22⋊Q8—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×#121—611no—
1212C2×#121—611no—
1213C2×#121—611no—
1214C2×#121—611no—
1215C2×#121—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—6116no—
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—611no—
1245C2×#121—611no—
1246C2×#121—611no—
1247C2×#121C2×D6111yescharacteristic, complemented
1248C2×#121C2×D6111yescharacteristic, complemented
1249C2×#121C2×D6111yescharacteristic, complemented
1250C2×#121C2×D6111yescharacteristic, complemented
1251C2×#120—611no—
1252C2×#120—611no—
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×#120C2×D6111yescharacteristic
1264C2×#120C2×D6111yescharacteristic, complemented
1265C2×#120C2×D6111yescharacteristic, complemented
1266C2×#120C2×D6111yescharacteristic, complemented
1267C2×C4×Q8—611no—
1268C2×C4×D4—611no—
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×#117—611no—
1284C2×#117—611no—
1285C2×#117—611no—
1286C2×#117—611no—
1287C2×#117—611no—
1288C2×#117—611no—
1289C2×#117—611no—
1290C22×C4⋊C4—611no—
1291C22×C4⋊C4—611no—
1292C22×C22⋊C4—611no—
1293C22×C22⋊C4—611no—
1294C22×C22⋊C4—611no—
1295C22×C22⋊C4—611no—
1296C22×C22⋊C4—611no—
1297C22×C22⋊C4C2×D6111yescharacteristic, complemented
1298C61C2×#354211yescharacteristic, complemented, Sylow
1299C25—611no—
1300C25—611no—
1301C25C22×D6111yescharacteristic
1302C25C22×D6111yescharacteristic
1303C25C22×D6111yescharacteristic
1304C2×#41—618no—
1305C2×#41—618no—
1306C2×#41—618no—
1307C2×#41—618no—
1308C2×#41—618no—
1309C2×#41—2444no—
1310C2×#41—2444no—
1311C2×#41—2444no—
1312C2×#41—2444no—
1313C2×#41—2444no—
1314C22×Q8—611no—
1315C22×Q8—611no—
1316C22×Q8—611no—
1317C22×Q8—611no—
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—611no—
1341C22×D4—611no—
1342C22×D4—611no—
1343C22×D4—611no—
1344C22×D4—618no—
1345C22×D4—618no—
1346C22×D4—618no—
1347C22×D4—618no—
1348C22×D4—611no—
1349C22×D4—611no—
1350C22×D4—611no—
1351C22×D4—611no—
1352C22×D4—2444no—
1353C22×D4—2444no—
1354C22×D4—2444no—
1355C22×D4—2444no—
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×D6111yescharacteristic
1366C22×D4C22×D6111yescharacteristic
1367C22×D4C22×D6111yescharacteristic
1368C22×D4C22×D6118yes—
1369C22×D4C22×D6118yescomplemented
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—618no—
1381C23×C4—611no—
1382C23×C4—611no—
1383C23×C4—611no—
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
1394C4⋊Q8—618no—
1395#127—618no—
1396#127—618no—
1397#127—618no—
1398#127—618no—
1399#127—618no—
1400#126—618no—
1401#126—618no—
1402#126—618no—
1403#126—618no—
1404#126—618no—
1405#126—618no—
1406#125—618no—
1407#125—618no—
1408#125—618no—
1409#124—618no—
1410#124—618no—
1411#124—618no—
1412#124—618no—
1413#124—618no—
1414#124—618no—
1415#124—618no—
1416#124—618no—
1417#124—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#123C22×D6118yes—
1437#123C22×D6118yescomplemented
1438#123C22×D6118yescomplemented
1439#123C22×D6118yescomplemented
1440C22⋊Q8—618no—
1441C22⋊Q8—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—
1451#121—618no—
1452#121—618no—
1453#121—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×D6118yescomplemented
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×Q8—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×D4—618no—
1521C4×D4—618no—
1522#117—618no—
1523#117—618no—
1524#117—618no—
1525#117—618no—
1526#117—618no—
1527#117—618no—
1528#117—618no—
1529C2×C4⋊C4—611no—
1530C2×C4⋊C4—611no—
1531C2×C4⋊C4—611no—
1532C2×C4⋊C4—611no—
1533C2×C4⋊C4—611no—
1534C2×C4⋊C4—618no—
1535C2×C4⋊C4—611no—
1536C2×C4⋊C4—611no—
1537C2×C4⋊C4—611no—
1538C2×C4⋊C4—611no—
1539C2×C4⋊C4—611no—
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—618no—
1555C2×C4⋊C4C22×D6111yescharacteristic
1556C2×C4⋊C4C22×D6111yescharacteristic
1557C2×C4⋊C4C22×D6111yescharacteristic
1558C2×C4⋊C4C22×D6111yescharacteristic
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—618no—
1568C2×C22⋊C4—618no—
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—611no—
1580C2×C22⋊C4—611no—
1581C2×C22⋊C4—611no—
1582C2×C22⋊C4—611no—
1583C2×C22⋊C4—611no—
1584C2×C22⋊C4—611no—
1585C2×C22⋊C4—611no—
1586C2×C22⋊C4—611no—
1587C2×C22⋊C4—611no—
1588C2×C22⋊C4—618no—
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—618no—
1599C2×C22⋊C4—618no—
1600C2×C22⋊C4C22×D6111yescharacteristic
1601C2×C22⋊C4C22×D6111yescharacteristic
1602C2×C22⋊C4C22×D6111yescharacteristic
1603C2×C22⋊C4C22×D6111yescharacteristic
1604C2×C22⋊C4C22×D6111yescharacteristic
1605C2×C22⋊C4C22×D6111yescharacteristic
1606C2×C22⋊C4C22×D6111yescharacteristic
1607C2×C22⋊C4C22×D6111yescharacteristic
1608C2×C22⋊C4C22×D6111yescharacteristic
1609C2×C22⋊C4C22×D6111yescharacteristic
1610C2×C22⋊C4C22×D6111yescharacteristic
1611C2×C22⋊C4C22×D6111yescharacteristic
1612C2×C22⋊C4C22×D6118yescomplemented
1613C2×C42—611no—
1614C2×C42—611no—
1615C2×C42—611no—
1616C2×C42—611no—
1617C2×C42—611no—
1618C2×C42—611no—
1619C2×C42—611no—
1620C2×C42—611no—
1621C24—24no—
1622C24—24no—
1623C24—42no—
1624C24—42no—
1625C24—42no—
1626C24—42no—
1627C24—42no—
1628C24—42no—
1629C24—42no—
1630C24—611no—
1631C24—611no—
1632C24—611no—
1633C24—611no—
1634C24—614no—
1635C24—614no—
1636C24—1224no—
1637C24—2442no—
1638C24—2442no—
1639C24—2442no—
1640C24—2442no—
1641C24—2442no—
1642C24C23×D6111yescharacteristic
1643C24C23×D6111yescharacteristic
1644C24C23×D6111yescharacteristic
1645C24C23×D6111yescharacteristic
1646C24C23×D6111yescharacteristic
1647C24C23×D6111yescharacteristic
1648C24C23×D6111yescharacteristic
1649C24C23×D6114yes—
1650C24C23×D6114yes—
1651C24C23×D6114yes—
1652#41—24416no—
1653#41—24416no—
1654#41—24416no—
1655#41—24416no—
1656#41—24416no—
1657C2×Q8—614no—
1658C2×Q8—614no—
1659C2×Q8—614no—
1660C2×Q8—614no—
1661C2×Q8—1224no—
1662C2×Q8—2442no—
1663C2×Q8—2442no—
1664C2×Q8—2442no—
1665C2×D4—24no—
1666C2×D4—24no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—416no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—416no—
1679C2×D4—614no—
1680C2×D4—614no—
1681C2×D4—614no—
1682C2×D4—614no—
1683C2×D4—614no—
1684C2×D4—614no—
1685C2×D4—614no—
1686C2×D4—614no—
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—1224no—
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—24416no—
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—24416no—
1727C2×D4—2442no—
1728C2×D4—2442no—
1729C2×D4—2442no—
1730C2×D4—2442no—
1731C2×D4—2442no—
1732C2×D4—2442no—
1733C2×D4—2442no—
1734C2×D4—2442no—
1735C2×D4—2442no—
1736C2×D4—2442no—
1737C2×D4—2442no—
1738C2×D4—24416no—
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—
1749C2×D4C23×D6114yes—
1750C2×D4C23×D6114yes—
1751C22×C4—24no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—42no—
1755C22×C4—611no—
1756C22×C4—614no—
1757C22×C4—614no—
1758C22×C4—614no—
1759C22×C4—614no—
1760C22×C4—614no—
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—611no—
1770C22×C4—611no—
1771C22×C4—611no—
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—1224no—
1789C22×C4—1224no—
1790C22×C4—1224no—
1791C22×C4—2442no—
1792C22×C4—2442no—
1793C22×C4—2442no—
1794C22×C4—2442no—
1795C22×C4—2442no—
1796C22×C4—2442no—
1797C22×C4—2442no—
1798C22×C4—24416no—
1799C22×C4—2442no—
1800C22×C4—2442no—
1801C22×C4—2442no—
1802C22×C4—2442no—
1803C22×C4—2442no—
1804C22×C4C23×D6114yes—
1805C22×C4C23×D6111yescharacteristic
1806C22×C4C23×D6111yescharacteristic
1807C22×C4C23×D6111yescharacteristic
1808C22×C4C23×D6111yescharacteristic
1809C22×C4C23×D6111yescharacteristic
1810C22×C4C23×D6111yescharacteristic
1811C22×C4C23×D6111yescharacteristic
1812C22×C4C23×D6111yescharacteristic
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⋊C4C23×D6114yes—
1841C4⋊C4C23×D6114yes—
1842C4⋊C4C23×D6114yes—
1843C4⋊C4C23×D6114yes—
1844C22⋊C4—614no—
1845C22⋊C4—614no—
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⋊C4C23×D6114yes—
1881C22⋊C4C23×D6114yes—
1882C22⋊C4C23×D6114yes—
1883C22⋊C4C23×D6114yes—
1884C22⋊C4C23×D6114yes—
1885C22⋊C4C23×D6114yes—
1886C22⋊C4C23×D6114yes—
1887C22⋊C4C23×D6114yes—
1888C22⋊C4C23×D6114yes—
1889C22⋊C4C23×D6114yes—
1890C22⋊C4C23×D6114yes—
1891C22⋊C4C23×D6114yes—
1892C42—614no—
1893C42—614no—
1894C42—614no—
1895C42—614no—
1896C42—614no—
1897C42—614no—
1898C42—614no—
1899C42—614no—
1900C23—22no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—28no—
1913C23—22no—
1914C23—22no—
1915C23—22no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23—28no—
1922C23—44no—
1923C23—44no—
1924C23—44no—
1925C23—44no—
1926C23—44no—
1927C23—44no—
1928C23—44no—
1929C23—416no—
1930C23—88no—
1931C23—88no—
1932C23—612no—
1933C23—612no—
1934C23—612no—
1935C23—612no—
1936C23—1228no—
1937C23—1222no—
1938C23—1222no—
1939C23—1222no—
1940C23—1222no—
1941C23—1222no—
1942C23—1222no—
1943C23—1222no—
1944C23—1222no—
1945C23—1222no—
1946C23—1222no—
1947C23—1222no—
1948C23—1222no—
1949C23—4888no—
1950C23—4888no—
1951C23—2444no—
1952C23—2444no—
1953C23—2444no—
1954C23—2444no—
1955C23—2444no—
1956C23#1451982214yes—
1957C23C24×D6112yes—
1958C23C24×D6112yes—
1959C23C24×D6112yes—
1960C23C24×D6112yes—
1961C23C24×D6112yes—
1962C23C24×D6112yes—
1963C23C24×D6112yes—
1964C23C24×D6111yescharacteristic
1965Q8—1228no—
1966Q8—2444no—
1967Q8—2444no—
1968Q8—2444no—
1969D4—28no—
1970D4—28no—
1971D4—44no—
1972D4—44no—
1973D4—44no—
1974D4—44no—
1975D4—44no—
1976D4—44no—
1977D4—44no—
1978D4—44no—
1979D4—44no—
1980D4—44no—
1981D4—1228no—
1982D4—1228no—
1983D4—1228no—
1984D4—1228no—
1985D4—1228no—
1986D4—2444no—
1987D4—2444no—
1988D4—2444no—
1989D4—2444no—
1990D4—2444no—
1991D4—2444no—
1992D4—2444no—
1993D4—2444no—
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—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—28no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—44no—
2019C2×C4—44no—
2020C2×C4—44no—
2021C2×C4—614no—
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—1228no—
2035C2×C4—1228no—
2036C2×C4—1228no—
2037C2×C4—1228no—
2038C2×C4—1228no—
2039C2×C4—1222no—
2040C2×C4—1222no—
2041C2×C4—1222no—
2042C2×C4—1222no—
2043C2×C4—1222no—
2044C2×C4—1222no—
2045C2×C4—1222no—
2046C2×C4—1228no—
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×C4C24×D6112yes—
2064C2×C4C24×D6112yes—
2065C2×C4C24×D6112yes—
2066C2×C4C24×D6112yes—
2067C2×C4C24×D6112yes—
2068C2×C4C24×D6112yes—
2069C2×C4C24×D6112yes—
2070C2×C4C24×D6112yes—
2071C22—22no—
2072C22—22no—
2073C22—28no—
2074C22—22no—
2075C22—22no—
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—416no—
2093C22—44no—
2094C22—44no—
2095C22—44no—
2096C22—44no—
2097C22—44no—
2098C22—44no—
2099C22—88no—
2100C22—88no—
2101C22—1222no—
2102C22—1222no—
2103C22—1222no—
2104C22—1222no—
2105C22—1222no—
2106C22—1222no—
2107C22—1222no—
2108C22—1222no—
2109C22—1222no—
2110C22—1222no—
2111C22—1222no—
2112C22—1222no—
2113C22—4888no—
2114C22—4888no—
2115C22—2444no—
2116C22—2444no—
2117C22—2444no—
2118C22—2444no—
2119C22H(5,𝔽2)×D6112yes—
2120C22C2×#1451982214yes—
2121C22C2×#1451982212yes—
2122C22#1684059712yes—
2123C22C25×D6111yescharacteristic
2124C4—22no—
2125C4—22no—
2126C4—22no—
2127C4—22no—
2128C4—22no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—614no—
2133C4—1222no—
2134C4—1222no—
2135C4—1222no—
2136C4—1222no—
2137C4—1222no—
2138C4—1222no—
2139C4—1222no—
2140C4—1222no—
2141C4—1222no—
2142C4—1222no—
2143C4—1222no—
2144C2—24no—
2145C2—42no—
2146C2—42no—
2147C2—42no—
2148C2—42no—
2149C2—42no—
2150C2—42no—
2151C2—2442no—
2152C2—2442no—
2153C2—2442no—
2154C2—2442no—
2155C2#2146013014yesdirect product factor
2156C2C2×H(5,𝔽2)×D6111yescharacteristic
2157C2C22×#1451982211yescharacteristic
2158C2C2×#1684059711yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#534C2
socleC23×C61C25
hypercenterC2×#534D61
hypocenterC61C2×#3542
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#534

Complements

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

NH ≅ G/Ntype
1. #21460130C2direct (N × H)
2. C2×#16840509C2semidirect
3. C2×#16840507C2semidirect
4. C2×#16840501C2semidirect
5. C2×#16840500C2semidirect
6. C2×#16840476C2semidirect
7. C2×#16840457C2semidirect
8. C2×#16840449C2semidirect
9. C2×#16840438C2semidirect
10. C2×#16840435C2semidirect
11. C2×#16840430C2semidirect
12. C2×#16840410C2semidirect
13. C2×#16840406C2semidirect
14. C2×#16840404C2semidirect
15. C2×#16840402C2semidirect
16. C2×#16840399C2semidirect
17. C2×D4×C22⋊D61C2semidirect
18. C2×#16840380C2semidirect
19. C2×#16840365C2semidirect
20. C2×#16840364C2semidirect
21. C2×#16840362C2semidirect
22. C2×#16840347C2semidirect
23. C2×#16840344C2semidirect
24. C2×#16840341C2semidirect
25. C2×#16840329C2semidirect
26. C2×#16840327C2semidirect
27. C2×#16840327C2semidirect
28. C2×#16840322C2semidirect
29. C2×#16840268C2semidirect
30. C2×#16840268C2semidirect
31. C22×#14519749C2semidirect
32. C2×C61×#534C2semidirect
33. C22×#11758222C22semidirect
34. C22×#11758222C22semidirect
35. C22×#11758224C22semidirect
36. C22×#11758224C22semidirect
37. C22×#11758224C22semidirect
39. C23×C22⋊D61C22semidirect
40. C23×C22⋊D61C22semidirect
42. C24×Dic61C22semidirect
43. #16840509C22semidirect
44. #16840507C22semidirect
45. #16840501C22semidirect
46. #16840500C22semidirect
47. #16840476C22semidirect
48. #16840457C22semidirect
49. #16840449C22semidirect
50. #16840438C22semidirect
51. #16840435C22semidirect
52. #16840430C22semidirect
53. #16840410C22semidirect
54. #16840406C22semidirect
55. #16840404C22semidirect
56. #16840402C22semidirect
57. #16840399C22semidirect
58. D4×C22⋊D61C22semidirect
59. #16840380C22semidirect
60. #16840365C22semidirect
61. #16840364C22semidirect
62. #16840362C22semidirect
63. #16840347C22semidirect
64. #16840344C22semidirect
65. #16840341C22semidirect
66. #16840329C22semidirect
67. #16840327C22semidirect
68. #16840327C22semidirect
69. #16840322C22semidirect
70. C2×#14519776C22semidirect
71. C2×#14519773C22semidirect
72. C2×#14519773C22semidirect
73. C2×#14519773C22semidirect
74. C2×#14519773C22semidirect
75. C2×#14519773C22semidirect
76. C2×#14519772C22semidirect
77. C2×#14519772C22semidirect
78. C2×#14519770C22semidirect
79. C2×#14519770C22semidirect
80. C2×#14519770C22semidirect
81. C2×#14519770C22semidirect
82. C2×#14519768C22semidirect
83. C2×#14519767C22semidirect
84. C2×#14519767C22semidirect
85. C2×#14519764C22semidirect
86. C2×#14519764C22semidirect
87. C2×#14519764C22semidirect
88. C2×#14519763C22semidirect
89. C2×#14519763C22semidirect
90. C2×#14519763C22semidirect
91. C2×#14519763C22semidirect
92. C2×#14519763C22semidirect
93. C2×#14519763C22semidirect
94. #16840268C22semidirect
95. #16840268C22semidirect
96. C2×#14519762C22semidirect
97. C2×#14519762C22semidirect
98. C2×#14519761C22semidirect
99. C2×#14519761C22semidirect
100. C2×#14519761C22semidirect
101. C2×#14519761C22semidirect
102. C2×#14519760C22semidirect
103. C2×#14519760C22semidirect
104. C2×#14519759C22semidirect
105. C2×#14519759C22semidirect
106. C2×#14519759C22semidirect
107. C2×#14519759C22semidirect
108. C2×#14519759C22semidirect
109. C2×#14519759C22semidirect
111. C2×#14519758C22semidirect
112. C2×#14519758C22semidirect
113. C2×#14519758C22semidirect
114. C2×#14519757C22semidirect
115. C2×#14519756C22semidirect
116. C2×#14519756C22semidirect
117. C2×#14519755C22semidirect
118. C2×#14519755C22semidirect
119. C2×#14519754C22semidirect
120. C2×#14519754C22semidirect
121. C2×#14519754C22semidirect
122. C2×#14519754C22semidirect
123. C2×#14519754C22semidirect
124. C2×#14519754C22semidirect
125. C2×#14519752C22semidirect
126. C2×#14519751C22semidirect
127. C2×#14519751C22semidirect
128. C2×#14519750C22semidirect
129. C2×#14519750C22semidirect
130. C2×#14519750C22semidirect
131. C2×#14519750C22semidirect
132. C2×#14519750C22semidirect
133. C2×#14519750C22semidirect
134. C2×#14519750C22semidirect
135. C2×#14519750C22semidirect
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×#14519748C22semidirect
154. C2×#14519748C22semidirect
155. C2×#14519748C22semidirect
156. C2×#14519748C22semidirect
157. C2×#14519748C22semidirect
158. C2×#14519748C22semidirect
159. C2×#14519748C22semidirect
160. C2×#14519748C22semidirect
161. C2×#14519747C22semidirect
162. C2×#14519747C22semidirect
164. C2×#14519746C22semidirect
165. C2×#14519746C22semidirect
166. C2×#14519746C22semidirect
167. C2×#14519746C22semidirect
168. C2×#14519746C22semidirect
170. C2×#14519745C22semidirect
171. C2×#14519745C22semidirect
172. C2×#14519745C22semidirect
173. C2×#14519742C22semidirect
175. C2×D4×Dic61C22semidirect
176. C2×D4×Dic61C22semidirect
177. C2×D4×Dic61C22semidirect
178. C2×#14519739C22semidirect
179. C2×C4×C22⋊D61C22semidirect
180. C2×C4×C22⋊D61C22semidirect
181. C2×C4×C22⋊D61C22semidirect
182. C2×C4×C22⋊D61C22semidirect
183. C2×#14519737C22semidirect
184. C2×#14519737C22semidirect
185. C2×#14519737C22semidirect
186. C2×#14519737C22semidirect
187. C2×#14519737C22semidirect
188. C2×#14519737C22semidirect
189. C2×#14519736C22semidirect
190. C2×#14519736C22semidirect
191. C2×#14519735C22semidirect
192. C2×#14519733C22semidirect
193. C2×#14519733C22semidirect
194. C2×#14519733C22semidirect
195. C2×#14519733C22semidirect
196. C22×#11758196C22semidirect
197. C2×C4⋊C4×D61C22semidirect
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. C61×#534C22semidirect
207. C2×#123×C61C22semidirect
208. C2×#123×C61C22semidirect
209. C2×#123×C61C22semidirect
210. C2×#121×C61C22semidirect
211. C2×#121×C61C22semidirect
212. C2×#121×C61C22semidirect
213. C2×#121×C61C22semidirect
215. C2×#120×C61C22semidirect
216. C2×#120×C61C22semidirect
217. C2×#120×C61C22semidirect
218. C22×C22⋊C4×C61C22semidirect
223. C2×#11758222C23semidirect
224. C2×#11758222C23semidirect
228. C2×#11758224C23semidirect
229. C2×#11758224C23semidirect
230. C2×#11758224C23semidirect
267. C22×C22⋊D61C23semidirect
268. C22×C22⋊D61C23semidirect
282. C23×Dic61C23semidirect
291. #14519776C23semidirect
292. #14519773C23semidirect
293. #14519773C23semidirect
294. #14519773C23semidirect
295. #14519773C23semidirect
296. #14519773C23semidirect
297. #14519772C23semidirect
298. #14519772C23semidirect
299. #14519770C23semidirect
300. #14519770C23semidirect
301. #14519770C23semidirect
302. #14519770C23semidirect
303. #14519768C23semidirect
304. #14519767C23semidirect
305. #14519767C23semidirect
306. #14519764C23semidirect
307. #14519764C23semidirect
308. #14519764C23semidirect
309. #14519763C23semidirect
310. #14519763C23semidirect
311. #14519763C23semidirect
312. #14519763C23semidirect
313. #14519763C23semidirect
314. #14519763C23semidirect
315. #14519762C23semidirect
316. #14519762C23semidirect
317. #14519761C23semidirect
318. #14519761C23semidirect
319. #14519761C23semidirect
320. #14519761C23semidirect
321. #14519760C23semidirect
322. #14519760C23semidirect
323. #14519759C23semidirect
324. #14519759C23semidirect
325. #14519759C23semidirect
326. #14519759C23semidirect
327. #14519759C23semidirect
328. #14519759C23semidirect
330. #14519758C23semidirect
331. #14519758C23semidirect
332. #14519758C23semidirect
333. #14519757C23semidirect
334. #14519756C23semidirect
335. #14519756C23semidirect
336. #14519755C23semidirect
337. #14519755C23semidirect
338. #14519754C23semidirect
339. #14519754C23semidirect
340. #14519754C23semidirect
341. #14519754C23semidirect
342. #14519754C23semidirect
343. #14519754C23semidirect
344. #14519752C23semidirect
345. #14519751C23semidirect
346. #14519751C23semidirect
347. #14519750C23semidirect
348. #14519750C23semidirect
349. #14519750C23semidirect
350. #14519750C23semidirect
351. #14519750C23semidirect
352. #14519750C23semidirect
353. #14519750C23semidirect
354. #14519750C23semidirect
359. #14519749C23semidirect
360. #14519749C23semidirect
361. #14519749C23semidirect
362. #14519749C23semidirect
363. #14519749C23semidirect
364. #14519749C23semidirect
365. #14519749C23semidirect
366. #14519749C23semidirect
367. #14519749C23semidirect
368. #14519749C23semidirect
369. #14519749C23semidirect
370. #14519749C23semidirect
371. #14519748C23semidirect
372. #14519748C23semidirect
373. #14519748C23semidirect
374. #14519748C23semidirect
375. #14519748C23semidirect
376. #14519748C23semidirect
377. #14519748C23semidirect
378. #14519748C23semidirect
379. #14519747C23semidirect
380. #14519747C23semidirect
382. #14519746C23semidirect
383. #14519746C23semidirect
384. #14519746C23semidirect
385. #14519746C23semidirect
386. #14519746C23semidirect
388. #14519745C23semidirect
389. #14519745C23semidirect
390. #14519745C23semidirect
391. #14519742C23semidirect
393. D4×Dic61C23semidirect
394. D4×Dic61C23semidirect
395. D4×Dic61C23semidirect
396. #14519739C23semidirect
397. C4×C22⋊D61C23semidirect
398. C4×C22⋊D61C23semidirect
399. C4×C22⋊D61C23semidirect
400. C4×C22⋊D61C23semidirect
401. #14519737C23semidirect
402. #14519737C23semidirect
403. #14519737C23semidirect
404. #14519737C23semidirect
405. #14519737C23semidirect
406. #14519737C23semidirect
407. #14519736C23semidirect
408. #14519736C23semidirect
409. #14519735C23semidirect
410. #14519733C23semidirect
411. #14519733C23semidirect
412. #14519733C23semidirect
413. #14519733C23semidirect
438. C2×#11758196C23semidirect
439. C4⋊C4×D61C23semidirect
460. C2×C22⋊Dic61C23semidirect
461. C2×C22⋊Dic61C23semidirect
478. C2×#11758198C23semidirect
479. C22⋊C4×D61C23semidirect
480. C22⋊C4×D61C23semidirect
507. C22×D4×C61C23semidirect
513. #123×C61C23semidirect
514. #123×C61C23semidirect
515. #123×C61C23semidirect
516. #121×C61C23semidirect
517. #121×C61C23semidirect
518. #121×C61C23semidirect
519. #121×C61C23semidirect
521. #120×C61C23semidirect
522. #120×C61C23semidirect
523. #120×C61C23semidirect
540. C2×C22⋊C4×C61C23semidirect
1093. C2×#534D61semidirect
1104. C2×C61#3542semidirect
1122. C23×D4C2×D61semidirect
1151. #534C2×D61semidirect
1197. C2×#123C2×D61semidirect
1198. C2×#123C2×D61semidirect
1199. C2×#123C2×D61semidirect
1247. C2×#121C2×D61semidirect
1248. C2×#121C2×D61semidirect
1249. C2×#121C2×D61semidirect
1250. C2×#121C2×D61semidirect
1264. C2×#120C2×D61semidirect
1265. C2×#120C2×D61semidirect
1266. C2×#120C2×D61semidirect
1297. C22×C22⋊C4C2×D61semidirect
1298. C61C2×#3542semidirect
1369. C22×D4C22×D61semidirect
1437. #123C22×D61semidirect
1438. #123C22×D61semidirect
1439. #123C22×D61semidirect
1486. #121C22×D61semidirect
1487. #121C22×D61semidirect
1488. #121C22×D61semidirect
1489. #121C22×D61semidirect
1503. #120C22×D61semidirect
1504. #120C22×D61semidirect
1505. #120C22×D61semidirect
1612. C2×C22⋊C4C22×D61semidirect
2155. C2#21460130direct (N × H)

Maximal subgroups

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

subgroupindex
#214601302
C2×#168405092
C2×#168405072
C2×#168405012
C2×#168405002
C2×#168404762
C2×#168404572
C2×#168404492
C2×#168404382
C2×#168404352
C2×#168404302
C2×#168404102
C2×#168404062
C2×#168404042
C2×#168404022
C2×#168403992
C2×D4×C22⋊D612
C2×#168403802
C2×#168403652
C2×#168403642
C2×#168403622
C2×#168403472
C2×#168403442
C2×#168403412
C2×#168403292
C2×#168403272
C2×#168403222
C2×#168402682
C22×#145197492
C2×C61×#5342
C2×#354261