Finite Group Databasebeta

← C2×#21459545 #30588354

Subgroups — C2×#21459545 #30588354

Order 15616.

8006 conjugacy classes of subgroups.

The subgroup lattice has 2060 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459545C2132yesmaximal, direct product factor
2C2×#16840475C211yesmaximal, characteristic, complemented
3C2×#16840474C211yesmaximal, characteristic, complemented
4C2×#16840463C211yesmaximal, characteristic, complemented
5C2×#16840463C211yesmaximal, characteristic, complemented
6C2×#16840461C211yesmaximal, characteristic, complemented
7C2×#16840457C211yesmaximal, characteristic, complemented
8C2×#16840438C211yesmaximal, characteristic, complemented
9C2×#16840436C211yesmaximal, characteristic, complemented
10C2×#16840435C211yesmaximal, characteristic, complemented
11C2×#16840414C211yesmaximal, characteristic, complemented
12C2×#16840410C211yesmaximal, characteristic, complemented
13C2×#16840408C211yesmaximal, characteristic, complemented
14C2×#16840403C211yesmaximal, characteristic, complemented
15C2×#16840402C211yesmaximal, characteristic, complemented
16C2×#16840399C211yesmaximal, characteristic, complemented
17C2×#16840391C211yesmaximal, characteristic, complemented
18C2×#16840382C211yesmaximal, characteristic, complemented
19C2×#16840378C211yesmaximal, characteristic, complemented
20C2×#16840364C211yesmaximal, characteristic, complemented
21C2×#16840364C211yesmaximal, characteristic, complemented
22C2×#16840327C211yesmaximal, characteristic, complemented
23C2×#16840311C211yesmaximal, characteristic, complemented
24C2×#16840309C211yesmaximal, characteristic, complemented
25C2×#16840295C211yesmaximal, characteristic, complemented
26C2×#16840290C211yesmaximal, characteristic, complemented
27C2×#16840270C211yesmaximal, characteristic, complemented
28C22×#14519750C211yesmaximal, characteristic, complemented
29C2×#16840241C211yesmaximal, characteristic, complemented
30C2×#16840235C211yesmaximal, characteristic, complemented
31C2×#117×D61C211yesmaximal, characteristic, complemented
32C2×C61×#551C211yesmaximal, characteristic, complemented
33C22×#11758226C2211yescharacteristic, complemented
34C22×#11758222C2211yescharacteristic, complemented
35C22×#11758222C2211yescharacteristic, complemented
36C22×#11758224C2211yescharacteristic
37C22×#11758224C2211yescharacteristic, complemented
38C23×D244C2211yescharacteristic
39C23×C22⋊D61C2211yescharacteristic
40C23×C22⋊D61C2211yescharacteristic
41C23×C4×D61C2211yescharacteristic
42#16840475C22116yescomplemented
43#16840474C22116yescomplemented
44#16840463C22116yescomplemented
45#16840463C22116yescomplemented
46#16840461C22116yescomplemented
47#16840457C22116yescomplemented
48#16840438C22116yescomplemented
49#16840436C22116yescomplemented
50#16840435C22116yescomplemented
51#16840414C22116yescomplemented
52#16840410C22116yescomplemented
53#16840408C22116yescomplemented
54#16840403C22116yescomplemented
55#16840402C22116yescomplemented
56#16840399C22116yescomplemented
57#16840391C22116yescomplemented
58#16840382C22116yescomplemented
59#16840378C22116yescomplemented
60#16840364C22116yescomplemented
61#16840364C22116yescomplemented
62#16840327C22116yescomplemented
63#16840311C22116yescomplemented
64#16840309C22116yescomplemented
65C2×#14519776C2211yescharacteristic, complemented
66C2×#14519776C2211yescharacteristic, complemented
67C2×#14519775C2211yescharacteristic, complemented
68C2×#14519775C2211yescharacteristic, complemented
69C2×#14519773C2211yescharacteristic, complemented
70C2×#14519773C2211yescharacteristic, complemented
71#16840295C22116yescomplemented
72#16840290C22116yescomplemented
73C2×#14519772C2211yescharacteristic, complemented
74C2×#14519772C2211yescharacteristic, complemented
75C2×#14519772C2211yescharacteristic, complemented
76C2×#14519771C2211yescharacteristic, complemented
77C2×#14519770C2211yescharacteristic, complemented
78C2×#14519770C2211yescharacteristic, complemented
79C2×#14519767C2211yescharacteristic, complemented
80C2×#14519767C2211yescharacteristic, complemented
81C2×#14519767C2211yescharacteristic, complemented
82C2×#14519767C2211yescharacteristic, complemented
83C2×#14519766C2211yescharacteristic, complemented
84C2×#14519765C2211yescharacteristic, complemented
85C2×#14519765C2211yescharacteristic, complemented
86C2×#14519763C2211yescharacteristic, complemented
87C2×#14519763C2211yescharacteristic, complemented
88C2×#14519763C2211yescharacteristic, complemented
89C2×#14519763C2211yescharacteristic, complemented
90C2×#14519763C2211yescharacteristic, complemented
91C2×#14519763C2211yescharacteristic, complemented
92#16840270C22116yescomplemented
93C2×#14519762C2211yescharacteristic, complemented
94C2×#14519762C2211yescharacteristic, complemented
95C2×#14519762C2211yescharacteristic, complemented
96C2×#14519762C2211yescharacteristic, complemented
97C2×#14519762C2211yescharacteristic, complemented
98C2×#14519762C2211yescharacteristic, complemented
99C2×#14519761C2211yescharacteristic, complemented
100C2×#14519761C2211yescharacteristic, complemented
101C2×#14519761C2211yescharacteristic, complemented
102C2×#14519760C2211yescharacteristic
103C2×#14519760C2211yescharacteristic, complemented
104C2×#14519759C2211yescharacteristic, complemented
105C2×#14519759C2211yescharacteristic, complemented
106C2×#14519759C2211yescharacteristic, complemented
107C2×#14519759C2211yescharacteristic, complemented
108C2×#14519757C2211yescharacteristic, complemented
109C2×#14519756C2211yescharacteristic
110C2×#14519755C2211yescharacteristic, complemented
111C2×#14519755C2211yescharacteristic, complemented
112C2×#14519755C2211yescharacteristic, complemented
113C2×#14519754C2211yescharacteristic
114C2×#14519754C2211yescharacteristic
115C2×#14519754C2211yescharacteristic, complemented
116C2×#14519752C2211yescharacteristic, complemented
117C2×#14519752C2211yescharacteristic, complemented
118C2×#14519752C2211yescharacteristic, complemented
119C2×#14519751C2211yescharacteristic, complemented
120C2×#14519751C2211yescharacteristic, complemented
121C2×#14519750C2211yescharacteristic
122C2×#14519750C2211yescharacteristic
123C2×#14519750C2211yescharacteristic
124C2×#14519750C2211yescharacteristic
125C2×#14519750C2211yescharacteristic
126C2×#14519750C2211yescharacteristic
127C2×#14519750C2211yescharacteristic
128C2×#14519750C2211yescharacteristic
129C2×#14519750C22116yescomplemented
130C2×#14519750C2211yescharacteristic, complemented
131C2×#14519750C2211yescharacteristic, complemented
132C2×#14519750C2211yescharacteristic, complemented
133C2×#14519750C2211yescharacteristic, complemented
134C2×#14519750C2211yescharacteristic, complemented
135C2×#14519750C2211yescharacteristic, complemented
136C2×#14519750C2211yescharacteristic, complemented
137C2×#14519750C2211yescharacteristic, complemented
138C2×#14519749C2211yescharacteristic, complemented
139C2×#14519749C2211yescharacteristic, complemented
140C2×#14519749C2211yescharacteristic, complemented
141C2×#14519749C2211yescharacteristic, complemented
142C2×#14519748C2211yescharacteristic, complemented
143C2×#14519747C2211yescharacteristic
144C2×#14519747C2211yescharacteristic
145C2×#14519746C2211yescharacteristic
146C2×#14519745C2211yescharacteristic
147C2×#14519745C2211yescharacteristic
148#16840241C22116yescomplemented
149#16840235C22116yescomplemented
150C2×C4×Dic122C2211yescharacteristic, complemented
151C2×#14519742C2211yescharacteristic, complemented
152C2×C4×D244C2211yescharacteristic, complemented
153C2×C4×D244C2211yescharacteristic, complemented
154C2×D4×Dic61C2211yescharacteristic
155C2×#14519739C2211yescharacteristic, complemented
156C2×#14519739C2211yescharacteristic, complemented
157C2×#14519739C2211yescharacteristic, complemented
158C2×C4×C22⋊D61C2211yescharacteristic
159C2×C4×C22⋊D61C2211yescharacteristic, complemented
160C2×C4×C22⋊D61C2211yescharacteristic, complemented
161C2×C4×C22⋊D61C2211yescharacteristic, complemented
162C2×C4×C22⋊D61C2211yescharacteristic, complemented
163C2×C4×C22⋊D61C2211yescharacteristic, complemented
164C2×C4×C22⋊D61C2211yescharacteristic, complemented
165C2×#14519737C2211yescharacteristic
166C2×#14519737C2211yescharacteristic, complemented
167C2×#14519737C2211yescharacteristic, complemented
168C2×#14519737C2211yescharacteristic, complemented
169C2×#14519737C2211yescharacteristic, complemented
170C2×#14519737C2211yescharacteristic, complemented
171C2×#14519737C2211yescharacteristic, complemented
172C2×#14519737C2211yescharacteristic, complemented
173C2×#14519737C2211yescharacteristic, complemented
174C2×#14519737C2211yescharacteristic, complemented
175C2×#14519737C2211yescharacteristic, complemented
176C2×#14519736C2211yescharacteristic
177C2×#14519735C2211yescharacteristic, complemented
178C2×#14519735C2211yescharacteristic, complemented
179C2×#14519735C2211yescharacteristic, complemented
180C2×#14519734C2211yescharacteristic, complemented
181C2×#14519734C2211yescharacteristic, complemented
182C2×#14519734C2211yescharacteristic, complemented
183C2×#14519734C2211yescharacteristic, complemented
184C2×#14519733C2211yescharacteristic
185C2×#14519733C2211yescharacteristic
186C2×#14519733C2211yescharacteristic
187C2×#14519733C2211yescharacteristic, complemented
188C2×#14519733C2211yescharacteristic, complemented
189#117×D61C22116yescomplemented
190C22×#11758196C2211yescharacteristic
191C22×#11758196C2211yescharacteristic, complemented
192C2×C4⋊C4×D61C2211yescharacteristic, complemented
193C2×C4⋊C4×D61C2211yescharacteristic, complemented
194C2×C4⋊C4×D61C2211yescharacteristic, complemented
195C22×C22⋊Dic61C2211yescharacteristic
196C22×#11758198C2211yescharacteristic
197C2×C22⋊C4×D61C2211yescharacteristic
198C2×C22⋊C4×D61C2211yescharacteristic
199C2×C22⋊C4×D61C2211yescharacteristic
200C2×C22⋊C4×D61C2211yescharacteristic
201C2×C42×D61C2211yescharacteristic, complemented
202C2×C42×D61C2211yescharacteristic, complemented
203C61×#551C22116yescomplemented
204C2×#126×C61C2211yescharacteristic, complemented
205C2×#126×C61C2211yescharacteristic, complemented
206C2×#124×C61C2211yescharacteristic, complemented
207C2×#123×C61C2211yescharacteristic
208C2×#123×C61C2211yescharacteristic, complemented
209C2×#123×C61C2211yescharacteristic, complemented
210C2×C22⋊Q8×C61C2211yescharacteristic
211C2×C22⋊Q8×C61C2211yescharacteristic, complemented
212C2×#120×C61C2211yescharacteristic
213C2×C4×D4×C61C2211yescharacteristic
214C2×C4×D4×C61C2211yescharacteristic, complemented
215C2×#117×C61C2211yescharacteristic
216C2×#117×C61C2211yescharacteristic, complemented
217C22×C22⋊C4×C61C2211yescharacteristic
218C22×C22⋊C4×C61C2211yescharacteristic
219C24×D61C2311yescharacteristic
220C24×D61C2311yescharacteristic
221C2×#11758226—44no—
222C2×#11758226C2318yescomplemented
223C2×#11758222—44no—
224C2×#11758222—44no—
225C2×#11758222C2318yescomplemented
226C2×#11758222C2318yescomplemented
227C2×#11758224—28no—
228C2×#11758224—44no—
229C2×#11758224C2318yes—
230C2×#11758224C2318yescomplemented
231C22×Dic122C2311yescharacteristic
232C22×Dic122C2311yescharacteristic
233C22×Dic122C2311yescharacteristic
234C22×Dic122C2311yescharacteristic
235C22×D244—44no—
236C22×D244C2311yescharacteristic
237C22×D244C2311yescharacteristic
238C22×D244C2311yescharacteristic
239C22×D244C2311yescharacteristic
240C22×D244C2311yescharacteristic
241C22×D244C2311yescharacteristic
242C22×D244C2311yescharacteristic
243C22×D244C2311yescharacteristic
244C22×D244C2318yes—
245C22×C22⋊D61—28no—
246C22×C22⋊D61—44no—
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⋊D61C2318yes—
257C22×C22⋊D61C2311yescharacteristic
258C22×C22⋊D61C2311yescharacteristic
259C22×C22⋊D61C2311yescharacteristic
260C22×C22⋊D61C2311yescharacteristic
261C22×C22⋊D61C2311yescharacteristic
262C22×C22⋊D61C2311yescharacteristic
263C22×C22⋊D61C2311yescharacteristic
264C22×C22⋊D61C2318yes—
265C23×Dic61C2311yescharacteristic
266C23×Dic61C2311yescharacteristic
267C23×Dic61C2311yescharacteristic
268C23×Dic61C2311yescharacteristic
269C23×Dic61C2311yescharacteristic
270C23×Dic61C2311yescharacteristic
271C22×C4×D61—28no—
272C22×C4×D61C2311yescharacteristic
273C22×C4×D61C2311yescharacteristic
274C22×C4×D61C2311yescharacteristic
275C22×C4×D61C2311yescharacteristic
276C22×C4×D61C2311yescharacteristic
277C22×C4×D61C2318yes—
278C22×C4×D61C2311yescharacteristic
279C22×C4×D61C2311yescharacteristic
280C22×C4×D61C2311yescharacteristic
281C22×C4×D61C2311yescharacteristic
282C22×C4×D61C2311yescharacteristic
283C22×C4×D61C2311yescharacteristic
284C22×C4×D61C2311yescharacteristic
285C22×C4×D61C2311yescharacteristic
286C22×C4×D61C2311yescharacteristic
287C22×C4×D61C2311yescharacteristic
288#14519776C2318yescomplemented
289#14519776C2318yescomplemented
290#14519775C2318yescomplemented
291#14519775C2318yescomplemented
292#14519773C2318yescomplemented
293#14519773C2318yescomplemented
294#14519772C2318yescomplemented
295#14519772C2318yescomplemented
296#14519772C2318yescomplemented
297#14519771C2318yescomplemented
298#14519770C2318yescomplemented
299#14519770C2318yescomplemented
300#14519767C2318yescomplemented
301#14519767C2318yescomplemented
302#14519767C2318yescomplemented
303#14519767C2318yescomplemented
304#14519766C2318yescomplemented
305#14519765C2318yescomplemented
306#14519765C2318yescomplemented
307#14519763C2318yescomplemented
308#14519763C2318yescomplemented
309#14519763C2318yescomplemented
310#14519763C2318yescomplemented
311#14519763C2318yescomplemented
312#14519763C2318yescomplemented
313#14519762C2318yescomplemented
314#14519762C2318yescomplemented
315#14519762C2318yescomplemented
316#14519762C2318yescomplemented
317#14519762C2318yescomplemented
318#14519762C2318yescomplemented
319#14519761C2318yescomplemented
320#14519761C2318yescomplemented
321#14519761C2318yescomplemented
322#14519760C2318yes—
323#14519760C2318yescomplemented
324#14519759C2318yescomplemented
325#14519759C2318yescomplemented
326#14519759C2318yescomplemented
327#14519759C2318yescomplemented
328#14519757C2318yescomplemented
329#14519756C2318yes—
330#14519755C2318yescomplemented
331#14519755C2318yescomplemented
332#14519755C2318yescomplemented
333#14519754C2318yes—
334#14519754C2318yes—
335#14519754C2318yescomplemented
336#14519752C2318yescomplemented
337#14519752C2318yescomplemented
338#14519752C2318yescomplemented
339#14519751C2318yescomplemented
340#14519751C2318yescomplemented
341#14519750C2318yes—
342#14519750C2318yes—
343#14519750C2318yes—
344#14519750C2318yes—
345#14519750C2318yes—
346#14519750C2318yes—
347#14519750C2318yes—
348#14519750C2318yes—
349#14519750C2318yescomplemented
350#14519750C2318yescomplemented
351#14519750C2318yescomplemented
352#14519750C2318yescomplemented
353#14519750C2318yescomplemented
354#14519750C2318yescomplemented
355#14519750C2318yescomplemented
356#14519750C2318yescomplemented
357#14519749C2318yescomplemented
358#14519749C2318yescomplemented
359#14519749C2318yescomplemented
360#14519749C2318yescomplemented
361#14519748C2318yescomplemented
362#14519747C2318yes—
363#14519747C2318yes—
364#14519746C2318yes—
365#14519745C2318yes—
366#14519745C2318yes—
367C4×Dic122C2318yescomplemented
368#14519742C2318yescomplemented
369C4×D244C2318yescomplemented
370C4×D244C2318yescomplemented
371D4×Dic61C2318yes—
372#14519739C2318yescomplemented
373#14519739C2318yescomplemented
374#14519739C2318yescomplemented
375C4×C22⋊D61C2318yes—
376C4×C22⋊D61C2318yescomplemented
377C4×C22⋊D61C2318yescomplemented
378C4×C22⋊D61C2318yescomplemented
379C4×C22⋊D61C2318yescomplemented
380C4×C22⋊D61C2318yescomplemented
381C4×C22⋊D61C2318yescomplemented
382#14519737C2318yes—
383#14519737C2318yescomplemented
384#14519737C2318yescomplemented
385#14519737C2318yescomplemented
386#14519737C2318yescomplemented
387#14519737C2318yescomplemented
388#14519737C2318yescomplemented
389#14519737C2318yescomplemented
390#14519737C2318yescomplemented
391#14519737C2318yescomplemented
392#14519737C2318yescomplemented
393#14519736C2318yes—
394#14519735C2318yescomplemented
395#14519735C2318yescomplemented
396#14519735C2318yescomplemented
397#14519734C2318yescomplemented
398#14519734C2318yescomplemented
399#14519734C2318yescomplemented
400#14519734C2318yescomplemented
401#14519733C2318yes—
402#14519733C2318yes—
403#14519733C2318yes—
404#14519733C2318yescomplemented
405#14519733C2318yescomplemented
406C2×C4⋊Dic61C2311yescharacteristic
407C2×C4⋊Dic61C2311yescharacteristic
408C2×C4⋊Dic61C2311yescharacteristic
409C2×C4⋊Dic61C2311yescharacteristic
410C2×C4⋊Dic61C2311yescharacteristic
411C2×C4⋊Dic61C2311yescharacteristic
412C2×#11758196C2311yescharacteristic
413C2×#11758196C2311yescharacteristic
414C2×#11758196C2311yescharacteristic
415C2×#11758196C2311yescharacteristic
416C2×#11758196C2311yescharacteristic
417C2×#11758196C2311yescharacteristic
418C2×#11758196C2311yescharacteristic
419C2×#11758196C2311yescharacteristic
420C2×#11758196C2318yes—
421C2×#11758196C2311yescharacteristic
422C2×#11758196C2311yescharacteristic
423C2×#11758196C2311yescharacteristic
424C2×#11758196C2311yescharacteristic
425C2×#11758196C2311yescharacteristic
426C2×#11758196C2311yescharacteristic
427C2×#11758196C2311yescharacteristic
428C2×#11758196C2311yescharacteristic
429C2×#11758196C2311yescharacteristic
430C2×#11758196C2311yescharacteristic
431C2×#11758196C2311yescharacteristic
432C2×#11758196C2311yescharacteristic
433C2×#11758196C2318yescomplemented
434C4⋊C4×D61C2318yescomplemented
435C4⋊C4×D61C2318yescomplemented
436C4⋊C4×D61C2318yescomplemented
437C2×C22⋊Dic61C2311yescharacteristic
438C2×C22⋊Dic61C2311yescharacteristic
439C2×C22⋊Dic61C2311yescharacteristic
440C2×C22⋊Dic61C2311yescharacteristic
441C2×C22⋊Dic61C2311yescharacteristic
442C2×C22⋊Dic61C2318yes—
443C2×C22⋊Dic61C2311yescharacteristic
444C2×C22⋊Dic61C2311yescharacteristic
445C2×C22⋊Dic61C2311yescharacteristic
446C2×#11758198C2311yescharacteristic
447C2×#11758198C2311yescharacteristic
448C2×#11758198C2311yescharacteristic
449C2×#11758198C2311yescharacteristic
450C2×#11758198C2311yescharacteristic
451C2×#11758198C2311yescharacteristic
452C2×#11758198C2311yescharacteristic
453C2×#11758198C2311yescharacteristic
454C2×#11758198C2311yescharacteristic
455C2×#11758198C2311yescharacteristic
456C2×#11758198C2311yescharacteristic
457C2×#11758198C2311yescharacteristic
458C2×#11758198C2318yes—
459C2×#11758198C2311yescharacteristic
460C2×#11758198C2311yescharacteristic
461C2×#11758198C2311yescharacteristic
462C2×#11758198C2311yescharacteristic
463C2×#11758198C2311yescharacteristic
464C2×#11758198C2311yescharacteristic
465C2×#11758198C2311yescharacteristic
466C2×#11758198C2311yescharacteristic
467C2×#11758198C2311yescharacteristic
468C2×#11758198C2311yescharacteristic
469C2×#11758198C2311yescharacteristic
470C2×#11758198C2311yescharacteristic
471C22⋊C4×D61C2318yes—
472C22⋊C4×D61C2318yes—
473C22⋊C4×D61C2318yes—
474C22⋊C4×D61C2318yes—
475C2×C4×Dic61C2311yescharacteristic
476C2×C4×Dic61C2311yescharacteristic
477C2×C4×Dic61C2311yescharacteristic
478C2×C4×Dic61C2311yescharacteristic
479C2×C4×Dic61C2311yescharacteristic
480C2×C4×Dic61C2311yescharacteristic
481C2×C4×Dic61C2311yescharacteristic
482C2×C4×Dic61C2311yescharacteristic
483C2×C4×Dic61C2311yescharacteristic
484C2×C4×Dic61C2311yescharacteristic
485C2×C4×Dic61C2311yescharacteristic
486C42×D61C2318yescomplemented
487C42×D61C2318yescomplemented
488C25×C61C2311yescharacteristic
489C22×Q8×C61C2311yescharacteristic
490C22×D4×C61C2311yescharacteristic
491C22×D4×C61C2311yescharacteristic
492C22×D4×C61C2311yescharacteristic
493C23×C4×C61C2311yescharacteristic
494C23×C4×C61C2311yescharacteristic
495C23×C4×C61C2311yescharacteristic
496C23×C4×C61C2311yescharacteristic
497C23×C4×C61C2311yescharacteristic
498#126×C61C2318yescomplemented
499#126×C61C2318yescomplemented
500#124×C61C2318yescomplemented
501#123×C61C2318yes—
502#123×C61C2318yescomplemented
503#123×C61C2318yescomplemented
504C22⋊Q8×C61C2318yes—
505C22⋊Q8×C61C2318yescomplemented
506#120×C61C2318yes—
507C4×D4×C61C2318yes—
508C4×D4×C61C2318yescomplemented
509#117×C61C2318yes—
510#117×C61C2318yescomplemented
511C2×C4⋊C4×C61C2311yescharacteristic
512C2×C4⋊C4×C61C2311yescharacteristic
513C2×C4⋊C4×C61C2311yescharacteristic
514C2×C4⋊C4×C61C2311yescharacteristic
515C2×C4⋊C4×C61C2311yescharacteristic
516C2×C4⋊C4×C61C2311yescharacteristic
517C2×C4⋊C4×C61C2311yescharacteristic
518C2×C4⋊C4×C61C2311yescharacteristic
519C2×C22⋊C4×C61C2311yescharacteristic
520C2×C22⋊C4×C61C2311yescharacteristic
521C2×C22⋊C4×C61C2311yescharacteristic
522C2×C22⋊C4×C61C2318yes—
523C2×C22⋊C4×C61C2318yes—
524C2×C22⋊C4×C61C2311yescharacteristic
525C2×C22⋊C4×C61C2311yescharacteristic
526C2×C22⋊C4×C61C2311yescharacteristic
527C2×C22⋊C4×C61C2311yescharacteristic
528C2×C22⋊C4×C61C2311yescharacteristic
529C2×C22⋊C4×C61C2311yescharacteristic
530C2×C22⋊C4×C61C2311yescharacteristic
531C2×C22⋊C4×C61C2311yescharacteristic
532C2×C22⋊C4×C61C2311yescharacteristic
533C2×C22⋊C4×C61C2311yescharacteristic
534C2×C22⋊C4×C61C2311yescharacteristic
535C2×C42×C61C2311yescharacteristic
536C2×C42×C61C2311yescharacteristic
537C2×C42×C61C2311yescharacteristic
538C24×C61—24no—
539C24×C61—42no—
540C24×C61—42no—
541C24×C61C2411yescharacteristic
542C24×C61C2411yescharacteristic
543C24×C61C2411yescharacteristic
544C24×C61C2411yescharacteristic
545C24×C61C2414yes—
546C23×D61—24no—
547C23×D61—24no—
548C23×D61—24no—
549C23×D61—42no—
550C23×D61—42no—
551C23×D61—42no—
552C23×D61C2411yescharacteristic
553C23×D61C2411yescharacteristic
554C23×D61C2411yescharacteristic
555C23×D61C2411yescharacteristic
556C23×D61C2414yes—
557C23×D61C2411yescharacteristic
558C23×D61C2414yes—
559C2×Q8×C61—42no—
560C2×Q8×C61C2414yes—
561C2×D4×C61—24no—
562C2×D4×C61—42no—
563C2×D4×C61—42no—
564C2×D4×C61C2414yes—
565C2×D4×C61C2414yes—
566C2×D4×C61C2414yes—
567C22×C4×C61—24no—
568C22×C4×C61—42no—
569C22×C4×C61—42no—
570C22×C4×C61—42no—
571C22×C4×C61—42no—
572C22×C4×C61C2411yescharacteristic
573C22×C4×C61C2411yescharacteristic
574C22×C4×C61C2411yescharacteristic
575C22×C4×C61C2411yescharacteristic
576C22×C4×C61C2414yes—
577C22×C4×C61C2411yescharacteristic
578C22×C4×C61C2411yescharacteristic
579C22×C4×C61C2411yescharacteristic
580C22×C4×C61C2411yescharacteristic
581C22×C4×C61C2411yescharacteristic
582C22×C4×C61C2411yescharacteristic
583C22×C4×C61C2411yescharacteristic
584C22×C4×C61C2414yes—
585C22×C4×C61C2414yes—
586C22×C4×C61C2414yes—
587C22×C4×C61C2414yes—
588C2×C22⋊D61—24no—
589C2×C22⋊D61—24no—
590C2×C22⋊D61—24no—
591C2×C22⋊D61—24no—
592C2×C22⋊D61—24no—
593C2×C22⋊D61—24no—
594C2×C22⋊D61—24no—
595C2×C22⋊D61—24no—
596C2×C22⋊D61—24no—
597C2×C22⋊D61—232no—
598C2×C22⋊D61—42no—
599C2×C22⋊D61—42no—
600C2×C22⋊D61—42no—
601C2×C22⋊D61—42no—
602C2×C22⋊D61—42no—
603C2×C22⋊D61—42no—
604C2×C22⋊D61—42no—
605C2×C22⋊D61—416no—
606C2×C22⋊D61C2414yes—
607C2×C22⋊D61C2414yes—
608C2×C22⋊D61C2414yes—
609C2×C22⋊D61C2414yes—
610C2×C22⋊D61C2414yes—
611C2×C22⋊D61C2414yes—
612C2×C22⋊D61C2414yes—
613C2×C22⋊D61C2414yes—
614C2×C22⋊D61C2414yes—
615C2×C22⋊D61C2414yes—
616C2×C22⋊D61C2414yes—
617C2×C22⋊D61C2414yes—
618C2×C22⋊D61C2414yes—
619C2×C22⋊D61C2414yes—
620C2×C22⋊D61C2414yes—
621C2×C22⋊D61C2414yes—
622C22×Dic61—24no—
623C22×Dic61—42no—
624C22×Dic61—42no—
625C22×Dic61—42no—
626C22×Dic61—42no—
627C22×Dic61#4118yescomplemented
628C22×Dic61C2411yescharacteristic
629C22×Dic61C2411yescharacteristic
630C22×Dic61C2411yescharacteristic
631C22×Dic61C2411yescharacteristic
632C22×Dic61C2411yescharacteristic
633C22×Dic61C2411yescharacteristic
634C22×Dic61C2411yescharacteristic
635C22×Dic61C2411yescharacteristic
636C22×Dic61C2411yescharacteristic
637C22×Dic61C2414yes—
638C22×Dic61C2414yes—
639C22×Dic61C2414yes—
640C22×Dic61C2414yes—
641C22×Dic61C2414yes—
642C22×Dic61C2411yescharacteristic
643C22×Dic61C2411yescharacteristic
644C22×Dic61C2414yes—
645#11758226—416no—
646#11758224—232no—
647#11758224—416no—
648#11758222—416no—
649#11758222—416no—
650C2×D244—24no—
651C2×D244—24no—
652C2×D244—24no—
653C2×D244—416no—
654C2×D244—42no—
655C2×D244—42no—
656C2×D244—42no—
657C2×D244—42no—
658C2×D244—42no—
659C2×D244C2414yes—
660C2×D244C2414yes—
661C2×D244C2414yes—
662C2×D244C2414yes—
663C2×D244C2414yes—
664C2×D244C2414yes—
665C2×D244C2414yes—
666C2×D244C2414yes—
667C2×C4×D61—24no—
668C2×C4×D61—24no—
669C2×C4×D61—24no—
670C2×C4×D61—24no—
671C2×C4×D61—24no—
672C2×C4×D61—24no—
673C2×C4×D61—24no—
674C2×C4×D61—232no—
675C2×C4×D61—42no—
676C2×C4×D61—42no—
677C2×C4×D61—42no—
678C2×C4×D61—42no—
679C2×C4×D61—42no—
680C2×C4×D61—42no—
681C2×C4×D61—42no—
682C2×C4×D61—42no—
683C2×C4×D61C2414yes—
684C2×C4×D61C2414yes—
685C2×C4×D61C2414yes—
686C2×C4×D61C2414yes—
687C2×C4×D61C2414yes—
688C2×C4×D61C2414yes—
689C2×C4×D61C2414yes—
690C2×C4×D61C2414yes—
691C2×C4×D61C2414yes—
692C2×C4×D61C2414yes—
693C2×C4×D61C2414yes—
694C2×C4×D61C2414yes—
695C2×C4×D61C2414yes—
696C2×C4×D61C2414yes—
697C2×C4×D61C2414yes—
698C2×Dic122—24no—
699C2×Dic122—42no—
700C2×Dic122—42no—
701C2×Dic122—42no—
702C2×Dic122C2414yes—
703C2×Dic122C2414yes—
704C2×Dic122C2414yes—
705C2×Dic122C2414yes—
706C4⋊C4×C61C2414yes—
707C4⋊C4×C61C2414yes—
708C4⋊C4×C61C2414yes—
709C4⋊C4×C61C2414yes—
710C4⋊C4×C61C2414yes—
711C4⋊C4×C61C2414yes—
712C4⋊C4×C61C2414yes—
713C4⋊C4×C61C2414yes—
714C22⋊C4×C61C2414yes—
715C22⋊C4×C61C2414yes—
716C22⋊C4×C61C2414yes—
717C22⋊C4×C61C2414yes—
718C22⋊C4×C61C2414yes—
719C22⋊C4×C61C2414yes—
720C22⋊C4×C61C2414yes—
721C22⋊C4×C61C2414yes—
722C22⋊C4×C61C2414yes—
723C22⋊C4×C61C2414yes—
724C22⋊C4×C61C2414yes—
725C22⋊C4×C61C2414yes—
726C22⋊C4×C61C2414yes—
727C22⋊C4×C61C2414yes—
728C42×C61C2414yes—
729C42×C61C2414yes—
730C42×C61C2414yes—
731C22⋊Dic61C2414yes—
732C22⋊Dic61C2414yes—
733C22⋊Dic61C2414yes—
734C22⋊Dic61C2414yes—
735C22⋊Dic61C2414yes—
736C22⋊Dic61C2414yes—
737C22⋊Dic61C2414yes—
738C22⋊Dic61C2414yes—
739#11758198C2414yes—
740#11758198C2414yes—
741#11758198C2414yes—
742#11758198C2414yes—
743#11758198C2414yes—
744#11758198C2414yes—
745#11758198C2414yes—
746#11758198C2414yes—
747#11758198C2414yes—
748#11758198C2414yes—
749#11758198C2414yes—
750#11758198C2414yes—
751#11758198C2414yes—
752#11758198C2414yes—
753#11758198C2414yes—
754#11758198C2414yes—
755#11758198C2414yes—
756#11758198C2414yes—
757#11758198C2414yes—
758#11758198C2414yes—
759#11758198C2414yes—
760#11758198C2414yes—
761#11758198C2414yes—
762#11758198C2414yes—
763C4⋊Dic61C2414yes—
764C4⋊Dic61C2414yes—
765C4⋊Dic61C2414yes—
766C4⋊Dic61C2414yes—
767C4⋊Dic61C2414yes—
768C4⋊Dic61C2414yes—
769#11758196C2414yes—
770#11758196C2414yes—
771#11758196C2414yes—
772#11758196C2414yes—
773#11758196C2414yes—
774#11758196C2414yes—
775#11758196C2414yes—
776#11758196C2414yes—
777#11758196C2414yes—
778#11758196C2414yes—
779#11758196C2414yes—
780#11758196C2414yes—
781#11758196C2414yes—
782#11758196C2414yes—
783#11758196C2414yes—
784#11758196C2414yes—
785#11758196C2414yes—
786#11758196C2414yes—
787#11758196C2414yes—
788#11758196C2414yes—
789C4×Dic61C2414yes—
790C4×Dic61C2414yes—
791C4×Dic61C2414yes—
792C4×Dic61C2414yes—
793C4×Dic61C2414yes—
794C4×Dic61C2414yes—
795C4×Dic61C2414yes—
796C4×Dic61C2414yes—
797C4×Dic61C2414yes—
798C4×Dic61C2414yes—
799C4×Dic61C2414yes—
800C23×C61—22no—
801C23×C61—22no—
802C23×C61—22no—
803C23×C61—22no—
804C23×C61—22no—
805C23×C61—22no—
806C23×C61—22no—
807C23×C61—22no—
808C23×C61—22no—
809C23×C61—22no—
810C23×C61—22no—
811C23×C61—28no—
812C23×C61—44no—
813C23×C61—44no—
814C23×C61—88no—
815C23×C61C2×#4114yes—
816C23×C61C2512yes—
817C23×C61C2512yes—
818C23×C61C2512yes—
819C23×C61C2512yes—
820C23×C61C2511yescharacteristic
821C22×D61—22no—
822C22×D61—22no—
823C22×D61—28no—
824C22×D61—22no—
825C22×D61—22no—
826C22×D61—22no—
827C22×D61—22no—
828C22×D61—22no—
829C22×D61—22no—
830C22×D61—22no—
831C22×D61—22no—
832C22×D61—22no—
833C22×D61—22no—
834C22×D61—22no—
835C22×D61—22no—
836C22×D61—28no—
837C22×D61—28no—
838C22×D61—44no—
839C22×D61—44no—
840C22×D61—44no—
841C22×D61—416no—
842C22×D61—88no—
843C22×D61H(5,𝔽2)14yes—
844C22×D61C2512yes—
845C22×D61C2512yes—
846C22×D61C2512yes—
847C22×D61C2512yes—
848C22×D61C2512yes—
849Q8×C61—44no—
850D4×C61—28no—
851D4×C61—44no—
852D4×C61—44no—
853C2×C4×C61—22no—
854C2×C4×C61—28no—
855C2×C4×C61—22no—
856C2×C4×C61—22no—
857C2×C4×C61—22no—
858C2×C4×C61—22no—
859C2×C4×C61—22no—
860C2×C4×C61—22no—
861C2×C4×C61—22no—
862C2×C4×C61—22no—
863C2×C4×C61—22no—
864C2×C4×C61—22no—
865C2×C4×C61—44no—
866C2×C4×C61—44no—
867C2×C4×C61—44no—
868C2×C4×C61—44no—
869C2×C4×C61C2512yes—
870C2×C4×C61C2512yes—
871C2×C4×C61C2512yes—
872C2×C4×C61C2512yes—
873C2×C4×C61C2512yes—
874C2×C4×C61C2512yes—
875C2×C4×C61C2512yes—
876C2×C4×C61C2512yes—
877C2×C4×C61C2512yes—
878C2×C4×C61C2512yes—
879C2×C4×C61C2512yes—
880C22⋊D61—28no—
881C22⋊D61—28no—
882C22⋊D61—28no—
883C22⋊D61—28no—
884C22⋊D61—28no—
885C22⋊D61—28no—
886C22⋊D61—28no—
887C22⋊D61—28no—
888C22⋊D61—28no—
889C22⋊D61—44no—
890C22⋊D61—44no—
891C22⋊D61—44no—
892C22⋊D61—44no—
893C22⋊D61—44no—
894C22⋊D61—44no—
895C22⋊D61—44no—
896C2×Dic61—22no—
897C2×Dic61—22no—
898C2×Dic61—22no—
899C2×Dic61—22no—
900C2×Dic61—22no—
901C2×Dic61—22no—
902C2×Dic61—22no—
903C2×Dic61—22no—
904C2×Dic61—22no—
905C2×Dic61—28no—
906C2×Dic61—44no—
907C2×Dic61—44no—
908C2×Dic61—44no—
909C2×Dic61—44no—
910C2×Dic61C2×#4114yes—
911C2×Dic61C2×#4114yes—
912C2×Dic61C2×#41116yescomplemented
913C2×Dic61C2512yes—
914C2×Dic61C2512yes—
915C2×Dic61C2512yes—
916C2×Dic61C2512yes—
917C2×Dic61C2512yes—
918C2×Dic61C2512yes—
919C2×Dic61C2512yes—
920C2×Dic61C2512yes—
921C2×Dic61C2512yes—
922C2×Dic61C2512yes—
923C2×Dic61C2512yes—
924D244—28no—
925D244—28no—
926D244—28no—
927D244—44no—
928D244—44no—
929D244—44no—
930D244—44no—
931D244—44no—
932C4×D61—28no—
933C4×D61—28no—
934C4×D61—28no—
935C4×D61—28no—
936C4×D61—28no—
937C4×D61—28no—
938C4×D61—28no—
939C4×D61—44no—
940C4×D61—44no—
941C4×D61—44no—
942C4×D61—44no—
943C4×D61—44no—
944C4×D61—44no—
945C4×D61—44no—
946C4×D61—44no—
947Dic122—28no—
948Dic122—44no—
949Dic122—44no—
950Dic122—44no—
951C2×#3494—611nomaximal, Sylow
952C22×C61—22no—
953C22×C61—22no—
954C22×C61—28no—
955C22×C61—22no—
956C22×C61—22no—
957C22×C61—22no—
958C22×C61—22no—
959C22×C61—22no—
960C22×C61—22no—
961C22×C61—22no—
962C22×C61—22no—
963C22×C61—22no—
964C22×C61—44no—
965C22×C61—44no—
966C22×C61—44no—
967C22×C61—88no—
968C22×C61C22×#4114yes—
969C22×C61C22×#4112yes—
970C22×C61C2×H(5,𝔽2)12yes—
971C22×C61#58512yes—
972C22×C61C2611yescharacteristic
973C2×D61—22no—
974C2×D61—22no—
975C2×D61—28no—
976C2×D61—22no—
977C2×D61—22no—
978C2×D61—22no—
979C2×D61—22no—
980C2×D61—22no—
981C2×D61—22no—
982C2×D61—22no—
983C2×D61—22no—
984C2×D61—22no—
985C2×D61—22no—
986C2×D61—22no—
987C2×D61—22no—
988C2×D61—416no—
989C2×D61—44no—
990C2×D61—44no—
991C2×D61—44no—
992C2×D61—44no—
993C2×D61—88no—
994C2×D61C2×H(5,𝔽2)14yes—
995C4×C61—22no—
996C4×C61—22no—
997C4×C61—22no—
998C4×C61—22no—
999C4×C61—22no—
1000C4×C61—22no—
1001C4×C61—22no—
1002C4×C61—22no—
1003C4×C61—22no—
1004C4×C61—22no—
1005C4×C61—22no—
1006Dic61—22no—
1007Dic61—22no—
1008Dic61—22no—
1009Dic61—22no—
1010Dic61—22no—
1011Dic61—22no—
1012Dic61—22no—
1013Dic61—22no—
1014Dic61—22no—
1015Dic61C22×#4114yes—
1016Dic61C22×#4114yes—
1017#3494—6132no—
1018C2×#555—611no—
1019C2×#555—611no—
1020C2×#553—611no—
1021C2×#553—611no—
1022C2×#553—611no—
1023C2×#553—611no—
1024C2×#551—611no—
1025C2×#551—611no—
1026C2×#551—611no—
1027C2×#551D6111yescharacteristic, complemented
1028C2×#547—611no—
1029C2×#547—611no—
1030C2×#546—611no—
1031C2×#546—611no—
1032C2×#546—611no—
1033C2×#546—611no—
1034C2×#544—611no—
1035C2×#542—611no—
1036C2×#542—611no—
1037C2×#540—611no—
1038C2×#540—611no—
1039C2×#535—611no—
1040C2×#532—611no—
1041C2×#532—611no—
1042C2×#529—611no—
1043C2×#529—611no—
1044C2×#525—611no—
1045C22×#121—611no—
1046C2×#520—611no—
1047C2×#518—611no—
1048C22×#117—611no—
1049C2×C61—24no—
1050C2×C61—42no—
1051C2×C61—42no—
1052C2×C61—42no—
1053C2×C61#349414yescomplemented
1054C2×C61C23×#4111yescharacteristic
1055C2×C61C22×H(5,𝔽2)11yescharacteristic
1056C2×C61C2×#58511yescharacteristic
1057D61—24no—
1058D61—42no—
1059D61—42no—
1060D61—42no—
1061D61—42no—
1062C22×#41—611no—
1063C22×#41—611no—
1064C22×#41—611no—
1065C22×#41—611no—
1066C22×#41—611no—
1067C23×D4—611no—
1068C23×D4—611no—
1069C23×D4—611no—
1070C24×C4—611no—
1071#555—6116no—
1072#555—6116no—
1073#553—6116no—
1074#553—6116no—
1075#553—6116no—
1076#553—6116no—
1077#551—6116no—
1078#551—6116no—
1079#551—6116no—
1080#551C2×D61116yescomplemented
1081#547—6116no—
1082#547—6116no—
1083#546—6116no—
1084#546—6116no—
1085#546—6116no—
1086#546—6116no—
1087#544—6116no—
1088#542—6116no—
1089#542—6116no—
1090#540—6116no—
1091#540—6116no—
1092#535—6116no—
1093#532—6116no—
1094#532—6116no—
1095C2×C4⋊Q8—611no—
1096C2×C4⋊Q8—611no—
1097C2×C4⋊Q8—611no—
1098C2×C4⋊Q8—611no—
1099C2×#127—611no—
1100C2×#127—611no—
1101#529—6116no—
1102#529—6116no—
1103C2×#126—611no—
1104C2×#126—611no—
1105C2×#126—611no—
1106C2×#126—611no—
1107C2×#126—611no—
1108C2×#126—611no—
1109C2×#126C2×D6111yescharacteristic, complemented
1110C2×#126C2×D6111yescharacteristic, complemented
1111C2×#125—611no—
1112C2×#125—611no—
1113C2×#125—611no—
1114C2×#125—611no—
1115C2×#124—611no—
1116C2×#124—611no—
1117C2×#124—611no—
1118C2×#124—611no—
1119C2×#124—611no—
1120C2×#124—611no—
1121C2×#124—611no—
1122C2×#124—611no—
1123C2×#124—611no—
1124C2×#124C2×D6111yescharacteristic, complemented
1125#525—6116no—
1126C2×#123—611no—
1127C2×#123—611no—
1128C2×#123—611no—
1129C2×#123—611no—
1130C2×#123—611no—
1131C2×#123—611no—
1132C2×#123—611no—
1133C2×#123—611no—
1134C2×#123—611no—
1135C2×#123—611no—
1136C2×#123—611no—
1137C2×#123—611no—
1138C2×#123—611no—
1139C2×#123—611no—
1140C2×#123—611no—
1141C2×#123C2×D6111yescharacteristic
1142C2×#123C2×D6111yescharacteristic, complemented
1143C2×#123C2×D6111yescharacteristic, complemented
1144C2×C22⋊Q8—611no—
1145C2×C22⋊Q8—611no—
1146C2×C22⋊Q8—611no—
1147C2×C22⋊Q8—611no—
1148C2×C22⋊Q8—611no—
1149C2×C22⋊Q8—611no—
1150C2×C22⋊Q8—611no—
1151C2×C22⋊Q8—611no—
1152C2×C22⋊Q8C2×D6111yescharacteristic
1153C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1154C2×#121—611no—
1155C2×#121—611no—
1156C2×#121—611no—
1157C2×#121—611no—
1158C2×#121—611no—
1159C2×#121—611no—
1160C2×#121—611no—
1161C2×#121—611no—
1162C2×#121—611no—
1163C2×#121—611no—
1164C2×#121—611no—
1165C2×#121—611no—
1166C2×#121—611no—
1167C2×#121—611no—
1168C2×#121—611no—
1169C2×#121—611no—
1170C2×#121—611no—
1171C2×#121—611no—
1172C2×#121—6116no—
1173C2×#121—611no—
1174C2×#121—611no—
1175C2×#121—611no—
1176C2×#121—611no—
1177C2×#121—611no—
1178C2×#121—611no—
1179C2×#121—611no—
1180C2×#121—611no—
1181C2×#120—611no—
1182C2×#120—611no—
1183C2×#120—611no—
1184C2×#120—611no—
1185C2×#120—611no—
1186C2×#120C2×D6111yescharacteristic
1187#520—6116no—
1188#518—6116no—
1189C2×C4×Q8—611no—
1190C2×C4×Q8—611no—
1191C2×C4×D4—611no—
1192C2×C4×D4—611no—
1193C2×C4×D4—611no—
1194C2×C4×D4—611no—
1195C2×C4×D4—611no—
1196C2×C4×D4—611no—
1197C2×C4×D4—611no—
1198C2×C4×D4—611no—
1199C2×C4×D4—611no—
1200C2×C4×D4—611no—
1201C2×C4×D4—611no—
1202C2×C4×D4—611no—
1203C2×C4×D4—611no—
1204C2×C4×D4—611no—
1205C2×C4×D4—611no—
1206C2×C4×D4—611no—
1207C2×C4×D4—611no—
1208C2×C4×D4—611no—
1209C2×C4×D4—611no—
1210C2×C4×D4—611no—
1211C2×C4×D4—611no—
1212C2×C4×D4—611no—
1213C2×C4×D4—611no—
1214C2×C4×D4—611no—
1215C2×C4×D4C2×D6111yescharacteristic
1216C2×C4×D4C2×D6111yescharacteristic, complemented
1217C2×#117—611no—
1218C2×#117—6116no—
1219C2×#117—611no—
1220C2×#117—611no—
1221C2×#117—611no—
1222C2×#117—611no—
1223C2×#117—611no—
1224C2×#117—611no—
1225C2×#117—611no—
1226C2×#117—611no—
1227C2×#117—611no—
1228C2×#117—611no—
1229C2×#117—611no—
1230C2×#117—611no—
1231C2×#117C2×D6111yescharacteristic
1232C2×#117C2×D6111yescharacteristic, complemented
1233C22×C4⋊C4—611no—
1234C22×C4⋊C4—611no—
1235C22×C4⋊C4—611no—
1236C22×C4⋊C4—611no—
1237C22×C4⋊C4—611no—
1238C22×C22⋊C4—611no—
1239C22×C22⋊C4—611no—
1240C22×C22⋊C4—611no—
1241C22×C22⋊C4—611no—
1242C22×C22⋊C4—611no—
1243C22×C22⋊C4—611no—
1244C22×C22⋊C4C2×D6111yescharacteristic
1245C22×C22⋊C4C2×D6111yescharacteristic
1246C22×C42—611no—
1247C22×C42—611no—
1248C61C2×#349411yescharacteristic, complemented, Sylow
1249C25—611no—
1250C25—611no—
1251C25C22×D6111yescharacteristic
1252C2×#41—618no—
1253C2×#41—618no—
1254C2×#41—618no—
1255C2×#41—618no—
1256C2×#41—618no—
1257C2×#41—1228no—
1258C2×#41—2444no—
1259C2×#41—2444no—
1260C2×#41—2444no—
1261C2×#41—2444no—
1262C22×Q8—611no—
1263C22×Q8—611no—
1264C22×Q8—611no—
1265C22×Q8—611no—
1266C22×Q8C22×D6111yescharacteristic
1267C22×D4—611no—
1268C22×D4—611no—
1269C22×D4—611no—
1270C22×D4—611no—
1271C22×D4—611no—
1272C22×D4—611no—
1273C22×D4—611no—
1274C22×D4—611no—
1275C22×D4—611no—
1276C22×D4—618no—
1277C22×D4—611no—
1278C22×D4—611no—
1279C22×D4—611no—
1280C22×D4—611no—
1281C22×D4—611no—
1282C22×D4—611no—
1283C22×D4—611no—
1284C22×D4—618no—
1285C22×D4—611no—
1286C22×D4—611no—
1287C22×D4—611no—
1288C22×D4—611no—
1289C22×D4—611no—
1290C22×D4—611no—
1291C22×D4—611no—
1292C22×D4—611no—
1293C22×D4—618no—
1294C22×D4—1228no—
1295C22×D4—2444no—
1296C22×D4—2444no—
1297C22×D4C22×D6111yescharacteristic
1298C22×D4C22×D6111yescharacteristic
1299C22×D4C22×D6111yescharacteristic
1300C23×C4—611no—
1301C23×C4—611no—
1302C23×C4—611no—
1303C23×C4—611no—
1304C23×C4—611no—
1305C23×C4—611no—
1306C23×C4—611no—
1307C23×C4—611no—
1308C23×C4—611no—
1309C23×C4—611no—
1310C23×C4—611no—
1311C23×C4—611no—
1312C23×C4—618no—
1313C23×C4—611no—
1314C23×C4—611no—
1315C23×C4—611no—
1316C23×C4—611no—
1317C23×C4—611no—
1318C23×C4—611no—
1319C23×C4—611no—
1320C23×C4—611no—
1321C23×C4—611no—
1322C23×C4—1228no—
1323C23×C4C22×D6111yescharacteristic
1324C23×C4C22×D6111yescharacteristic
1325C23×C4C22×D6111yescharacteristic
1326C23×C4C22×D6111yescharacteristic
1327C23×C4C22×D6111yescharacteristic
1328C4⋊Q8—618no—
1329C4⋊Q8—618no—
1330C4⋊Q8—618no—
1331C4⋊Q8—618no—
1332#127—618no—
1333#127—618no—
1334#126—618no—
1335#126—618no—
1336#126—618no—
1337#126—618no—
1338#126—618no—
1339#126—618no—
1340#126C22×D6118yescomplemented
1341#126C22×D6118yescomplemented
1342#125—618no—
1343#125—618no—
1344#125—618no—
1345#125—618no—
1346#124—618no—
1347#124—618no—
1348#124—618no—
1349#124—618no—
1350#124—618no—
1351#124—618no—
1352#124—618no—
1353#124—618no—
1354#124—618no—
1355#124C22×D6118yescomplemented
1356#123—618no—
1357#123—618no—
1358#123—618no—
1359#123—618no—
1360#123—618no—
1361#123—618no—
1362#123—618no—
1363#123—618no—
1364#123—618no—
1365#123—618no—
1366#123—618no—
1367#123—618no—
1368#123—618no—
1369#123—618no—
1370#123—618no—
1371#123C22×D6118yes—
1372#123C22×D6118yescomplemented
1373#123C22×D6118yescomplemented
1374C22⋊Q8—618no—
1375C22⋊Q8—618no—
1376C22⋊Q8—618no—
1377C22⋊Q8—618no—
1378C22⋊Q8—618no—
1379C22⋊Q8—618no—
1380C22⋊Q8—618no—
1381C22⋊Q8—618no—
1382C22⋊Q8C22×D6118yes—
1383C22⋊Q8C22×D6118yescomplemented
1384#121—618no—
1385#121—618no—
1386#121—618no—
1387#121—618no—
1388#121—618no—
1389#121—618no—
1390#121—618no—
1391#121—618no—
1392#121—618no—
1393#121—618no—
1394#121—618no—
1395#121—618no—
1396#121—618no—
1397#121—618no—
1398#121—618no—
1399#121—618no—
1400#121—618no—
1401#121—618no—
1402#121—618no—
1403#121—618no—
1404#121—618no—
1405#121—618no—
1406#121—618no—
1407#121—618no—
1408#121—618no—
1409#121—618no—
1410#120—618no—
1411#120—618no—
1412#120—618no—
1413#120—618no—
1414#120—618no—
1415#120C22×D6118yes—
1416C4×Q8—618no—
1417C4×Q8—618no—
1418C4×D4—618no—
1419C4×D4—618no—
1420C4×D4—618no—
1421C4×D4—618no—
1422C4×D4—618no—
1423C4×D4—618no—
1424C4×D4—618no—
1425C4×D4—618no—
1426C4×D4—618no—
1427C4×D4—618no—
1428C4×D4—618no—
1429C4×D4—618no—
1430C4×D4—618no—
1431C4×D4—618no—
1432C4×D4—618no—
1433C4×D4—618no—
1434C4×D4—618no—
1435C4×D4—618no—
1436C4×D4—618no—
1437C4×D4—618no—
1438C4×D4—618no—
1439C4×D4—618no—
1440C4×D4—618no—
1441C4×D4—618no—
1442C4×D4C22×D6118yes—
1443C4×D4C22×D6118yescomplemented
1444#117—618no—
1445#117—618no—
1446#117—618no—
1447#117—618no—
1448#117—618no—
1449#117—618no—
1450#117—618no—
1451#117—618no—
1452#117—618no—
1453#117—618no—
1454#117—618no—
1455#117—618no—
1456#117—618no—
1457#117C22×D6118yes—
1458#117C22×D6118yescomplemented
1459C2×C4⋊C4—611no—
1460C2×C4⋊C4—611no—
1461C2×C4⋊C4—611no—
1462C2×C4⋊C4—611no—
1463C2×C4⋊C4—611no—
1464C2×C4⋊C4—611no—
1465C2×C4⋊C4—611no—
1466C2×C4⋊C4—611no—
1467C2×C4⋊C4—611no—
1468C2×C4⋊C4—611no—
1469C2×C4⋊C4—611no—
1470C2×C4⋊C4—611no—
1471C2×C4⋊C4—611no—
1472C2×C4⋊C4—618no—
1473C2×C4⋊C4—618no—
1474C2×C4⋊C4—611no—
1475C2×C4⋊C4—611no—
1476C2×C4⋊C4—611no—
1477C2×C4⋊C4—611no—
1478C2×C4⋊C4—611no—
1479C2×C4⋊C4—611no—
1480C2×C4⋊C4—611no—
1481C2×C4⋊C4—611no—
1482C2×C4⋊C4—611no—
1483C2×C4⋊C4—611no—
1484C2×C4⋊C4—611no—
1485C2×C4⋊C4—611no—
1486C2×C4⋊C4—611no—
1487C2×C4⋊C4—618no—
1488C2×C4⋊C4—618no—
1489C2×C4⋊C4—618no—
1490C2×C4⋊C4C22×D6111yescharacteristic
1491C2×C4⋊C4C22×D6111yescharacteristic
1492C2×C4⋊C4C22×D6111yescharacteristic
1493C2×C4⋊C4C22×D6111yescharacteristic
1494C2×C4⋊C4C22×D6111yescharacteristic
1495C2×C4⋊C4C22×D6111yescharacteristic
1496C2×C4⋊C4C22×D6111yescharacteristic
1497C2×C4⋊C4C22×D6111yescharacteristic
1498C2×C22⋊C4—611no—
1499C2×C22⋊C4—611no—
1500C2×C22⋊C4—611no—
1501C2×C22⋊C4—611no—
1502C2×C22⋊C4—611no—
1503C2×C22⋊C4—618no—
1504C2×C22⋊C4—611no—
1505C2×C22⋊C4—611no—
1506C2×C22⋊C4—611no—
1507C2×C22⋊C4—611no—
1508C2×C22⋊C4—611no—
1509C2×C22⋊C4—611no—
1510C2×C22⋊C4—611no—
1511C2×C22⋊C4—611no—
1512C2×C22⋊C4—611no—
1513C2×C22⋊C4—611no—
1514C2×C22⋊C4—611no—
1515C2×C22⋊C4—611no—
1516C2×C22⋊C4—611no—
1517C2×C22⋊C4—611no—
1518C2×C22⋊C4—611no—
1519C2×C22⋊C4—618no—
1520C2×C22⋊C4—611no—
1521C2×C22⋊C4—611no—
1522C2×C22⋊C4—611no—
1523C2×C22⋊C4—611no—
1524C2×C22⋊C4—611no—
1525C2×C22⋊C4—611no—
1526C2×C22⋊C4—611no—
1527C2×C22⋊C4—611no—
1528C2×C22⋊C4—611no—
1529C2×C22⋊C4—611no—
1530C2×C22⋊C4—611no—
1531C2×C22⋊C4—611no—
1532C2×C22⋊C4—618no—
1533C2×C22⋊C4—618no—
1534C2×C22⋊C4—618no—
1535C2×C22⋊C4—618no—
1536C2×C22⋊C4C22×D6111yescharacteristic
1537C2×C22⋊C4C22×D6111yescharacteristic
1538C2×C22⋊C4C22×D6111yescharacteristic
1539C2×C22⋊C4C22×D6111yescharacteristic
1540C2×C22⋊C4C22×D6111yescharacteristic
1541C2×C22⋊C4C22×D6111yescharacteristic
1542C2×C22⋊C4C22×D6111yescharacteristic
1543C2×C22⋊C4C22×D6118yes—
1544C2×C22⋊C4C22×D6111yescharacteristic
1545C2×C22⋊C4C22×D6111yescharacteristic
1546C2×C22⋊C4C22×D6118yes—
1547C2×C22⋊C4C22×D6111yescharacteristic
1548C2×C22⋊C4C22×D6111yescharacteristic
1549C2×C22⋊C4C22×D6111yescharacteristic
1550C2×C22⋊C4C22×D6111yescharacteristic
1551C2×C22⋊C4C22×D6111yescharacteristic
1552C2×C42—611no—
1553C2×C42—611no—
1554C2×C42—611no—
1555C2×C42—611no—
1556C2×C42—611no—
1557C2×C42—611no—
1558C2×C42—611no—
1559C2×C42—611no—
1560C2×C42—611no—
1561C2×C42—611no—
1562C2×C42—611no—
1563C2×C42—618no—
1564C2×C42—618no—
1565C2×C42C22×D6111yescharacteristic
1566C2×C42C22×D6111yescharacteristic
1567C2×C42C22×D6111yescharacteristic
1568C24—24no—
1569C24—42no—
1570C24—42no—
1571C24—611no—
1572C24—611no—
1573C24—611no—
1574C24—611no—
1575C24—611no—
1576C24—614no—
1577C24—614no—
1578C24—1224no—
1579C24—1224no—
1580C24—1224no—
1581C24—2442no—
1582C24—2442no—
1583C24—2442no—
1584C24C23×D6111yescharacteristic
1585C24C23×D6111yescharacteristic
1586C24C23×D6111yescharacteristic
1587C24C23×D6111yescharacteristic
1588C24C23×D6114yes—
1589#41—12232no—
1590#41—24416no—
1591#41—24416no—
1592#41—24416no—
1593#41—24416no—
1594C2×Q8—42no—
1595C2×Q8—614no—
1596C2×Q8—614no—
1597C2×Q8—614no—
1598C2×Q8—614no—
1599C2×Q8—1224no—
1600C2×Q8—2442no—
1601C2×Q8—2442no—
1602C2×Q8—2442no—
1603C2×Q8C23×D6114yes—
1604C2×D4—24no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—614no—
1608C2×D4—614no—
1609C2×D4—614no—
1610C2×D4—614no—
1611C2×D4—614no—
1612C2×D4—614no—
1613C2×D4—614no—
1614C2×D4—614no—
1615C2×D4—614no—
1616C2×D4—614no—
1617C2×D4—614no—
1618C2×D4—614no—
1619C2×D4—614no—
1620C2×D4—614no—
1621C2×D4—614no—
1622C2×D4—614no—
1623C2×D4—614no—
1624C2×D4—614no—
1625C2×D4—614no—
1626C2×D4—614no—
1627C2×D4—614no—
1628C2×D4—614no—
1629C2×D4—614no—
1630C2×D4—614no—
1631C2×D4—1224no—
1632C2×D4—1224no—
1633C2×D4—1224no—
1634C2×D4—1224no—
1635C2×D4—1224no—
1636C2×D4—1224no—
1637C2×D4—1224no—
1638C2×D4—12232no—
1639C2×D4—1224no—
1640C2×D4—1224no—
1641C2×D4—1224no—
1642C2×D4—1224no—
1643C2×D4—1224no—
1644C2×D4—2442no—
1645C2×D4—2442no—
1646C2×D4—2442no—
1647C2×D4—2442no—
1648C2×D4—2442no—
1649C2×D4—24416no—
1650C2×D4—2442no—
1651C2×D4—2442no—
1652C2×D4—2442no—
1653C2×D4—2442no—
1654C2×D4—2442no—
1655C2×D4—2442no—
1656C2×D4—2442no—
1657C2×D4—24416no—
1658C2×D4C23×D6114yes—
1659C2×D4C23×D6114yes—
1660C2×D4C23×D6114yes—
1661C22×C4—24no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—618no—
1667C22×C4—614no—
1668C22×C4—611no—
1669C22×C4—611no—
1670C22×C4—614no—
1671C22×C4—611no—
1672C22×C4—611no—
1673C22×C4—611no—
1674C22×C4—611no—
1675C22×C4—611no—
1676C22×C4—611no—
1677C22×C4—611no—
1678C22×C4—611no—
1679C22×C4—611no—
1680C22×C4—614no—
1681C22×C4—614no—
1682C22×C4—614no—
1683C22×C4—614no—
1684C22×C4—614no—
1685C22×C4—614no—
1686C22×C4—614no—
1687C22×C4—614no—
1688C22×C4—614no—
1689C22×C4—614no—
1690C22×C4—614no—
1691C22×C4—614no—
1692C22×C4—614no—
1693C22×C4—614no—
1694C22×C4—614no—
1695C22×C4—614no—
1696C22×C4—614no—
1697C22×C4—614no—
1698C22×C4—614no—
1699C22×C4—1224no—
1700C22×C4—1224no—
1701C22×C4—1224no—
1702C22×C4—1224no—
1703C22×C4—12232no—
1704C22×C4—1224no—
1705C22×C4—1224no—
1706C22×C4—1224no—
1707C22×C4—1224no—
1708C22×C4—2442no—
1709C22×C4—2442no—
1710C22×C4—2442no—
1711C22×C4—2442no—
1712C22×C4—2442no—
1713C22×C4—2442no—
1714C22×C4—2442no—
1715C22×C4—2442no—
1716C22×C4—2442no—
1717C22×C4—2442no—
1718C22×C4—2442no—
1719C22×C4—2442no—
1720C22×C4C23×D6114yes—
1721C22×C4C23×D6111yescharacteristic
1722C22×C4C23×D6111yescharacteristic
1723C22×C4C23×D6111yescharacteristic
1724C22×C4C23×D6111yescharacteristic
1725C22×C4C23×D6111yescharacteristic
1726C22×C4C23×D6111yescharacteristic
1727C22×C4C23×D6111yescharacteristic
1728C22×C4C23×D6111yescharacteristic
1729C22×C4C23×D6111yescharacteristic
1730C22×C4C23×D6111yescharacteristic
1731C22×C4C23×D6111yescharacteristic
1732C22×C4C23×D6114yes—
1733C22×C4C23×D6114yes—
1734C22×C4C23×D6114yes—
1735C22×C4C23×D6114yes—
1736C4⋊C4—614no—
1737C4⋊C4—614no—
1738C4⋊C4—614no—
1739C4⋊C4—614no—
1740C4⋊C4—614no—
1741C4⋊C4—614no—
1742C4⋊C4—614no—
1743C4⋊C4—614no—
1744C4⋊C4—614no—
1745C4⋊C4—614no—
1746C4⋊C4—614no—
1747C4⋊C4—614no—
1748C4⋊C4—614no—
1749C4⋊C4—614no—
1750C4⋊C4—614no—
1751C4⋊C4—614no—
1752C4⋊C4—614no—
1753C4⋊C4—614no—
1754C4⋊C4—614no—
1755C4⋊C4—614no—
1756C4⋊C4—614no—
1757C4⋊C4—614no—
1758C4⋊C4—614no—
1759C4⋊C4—614no—
1760C4⋊C4—614no—
1761C4⋊C4—614no—
1762C4⋊C4C23×D6114yes—
1763C4⋊C4C23×D6114yes—
1764C4⋊C4C23×D6114yes—
1765C4⋊C4C23×D6114yes—
1766C4⋊C4C23×D6114yes—
1767C4⋊C4C23×D6114yes—
1768C4⋊C4C23×D6114yes—
1769C4⋊C4C23×D6114yes—
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—614no—
1786C22⋊C4—614no—
1787C22⋊C4—614no—
1788C22⋊C4—614no—
1789C22⋊C4—614no—
1790C22⋊C4—614no—
1791C22⋊C4—614no—
1792C22⋊C4—614no—
1793C22⋊C4—614no—
1794C22⋊C4—614no—
1795C22⋊C4—614no—
1796C22⋊C4—614no—
1797C22⋊C4—614no—
1798C22⋊C4—614no—
1799C22⋊C4—614no—
1800C22⋊C4—614no—
1801C22⋊C4—614no—
1802C22⋊C4C23×D6114yes—
1803C22⋊C4C23×D6114yes—
1804C22⋊C4C23×D6114yes—
1805C22⋊C4C23×D6114yes—
1806C22⋊C4C23×D6114yes—
1807C22⋊C4C23×D6114yes—
1808C22⋊C4C23×D6114yes—
1809C22⋊C4C23×D6114yes—
1810C22⋊C4C23×D6114yes—
1811C22⋊C4C23×D6114yes—
1812C22⋊C4C23×D6114yes—
1813C22⋊C4C23×D6114yes—
1814C22⋊C4C23×D6114yes—
1815C22⋊C4C23×D6114yes—
1816C42—614no—
1817C42—614no—
1818C42—614no—
1819C42—614no—
1820C42—614no—
1821C42—614no—
1822C42—614no—
1823C42—614no—
1824C42—614no—
1825C42—614no—
1826C42—614no—
1827C42C23×D6114yes—
1828C42C23×D6114yes—
1829C42C23×D6114yes—
1830C23—22no—
1831C23—22no—
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—22no—
1837C23—22no—
1838C23—22no—
1839C23—22no—
1840C23—22no—
1841C23—28no—
1842C23—44no—
1843C23—44no—
1844C23—88no—
1845C23—614no—
1846C23—612no—
1847C23—612no—
1848C23—612no—
1849C23—612no—
1850C23—612no—
1851C23—1228no—
1852C23—1222no—
1853C23—1222no—
1854C23—1228no—
1855C23—1228no—
1856C23—1222no—
1857C23—1222no—
1858C23—1222no—
1859C23—1222no—
1860C23—1222no—
1861C23—1222no—
1862C23—1222no—
1863C23—1222no—
1864C23—1222no—
1865C23—1222no—
1866C23—1222no—
1867C23—1222no—
1868C23—4888no—
1869C23—2444no—
1870C23—2444no—
1871C23—2444no—
1872C23—24416no—
1873C23#41×D6114yes—
1874C23C24×D6112yes—
1875C23C24×D6112yes—
1876C23C24×D6112yes—
1877C23C24×D6112yes—
1878C23C24×D6111yescharacteristic
1879Q8—44no—
1880Q8—1228no—
1881Q8—2444no—
1882Q8—2444no—
1883Q8—2444no—
1884D4—28no—
1885D4—44no—
1886D4—44no—
1887D4—1228no—
1888D4—1228no—
1889D4—1228no—
1890D4—1228no—
1891D4—1228no—
1892D4—1228no—
1893D4—1228no—
1894D4—1228no—
1895D4—1228no—
1896D4—1228no—
1897D4—1228no—
1898D4—1228no—
1899D4—2444no—
1900D4—2444no—
1901D4—2444no—
1902D4—2444no—
1903D4—2444no—
1904D4—2444no—
1905D4—2444no—
1906D4—2444no—
1907D4—2444no—
1908D4—2444no—
1909D4—2444no—
1910D4—2444no—
1911C2×C4—28no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—44no—
1924C2×C4—44no—
1925C2×C4—44no—
1926C2×C4—44no—
1927C2×C4—614no—
1928C2×C4—614no—
1929C2×C4—6116no—
1930C2×C4—612no—
1931C2×C4—612no—
1932C2×C4—612no—
1933C2×C4—612no—
1934C2×C4—612no—
1935C2×C4—612no—
1936C2×C4—612no—
1937C2×C4—612no—
1938C2×C4—612no—
1939C2×C4—612no—
1940C2×C4—612no—
1941C2×C4—1228no—
1942C2×C4—1228no—
1943C2×C4—1228no—
1944C2×C4—1228no—
1945C2×C4—1228no—
1946C2×C4—1228no—
1947C2×C4—1228no—
1948C2×C4—1228no—
1949C2×C4—1222no—
1950C2×C4—1222no—
1951C2×C4—1222no—
1952C2×C4—1222no—
1953C2×C4—1222no—
1954C2×C4—1222no—
1955C2×C4—1222no—
1956C2×C4—1222no—
1957C2×C4—1222no—
1958C2×C4—2444no—
1959C2×C4—2444no—
1960C2×C4—2444no—
1961C2×C4—2444no—
1962C2×C4—2444no—
1963C2×C4—2444no—
1964C2×C4—2444no—
1965C2×C4—2444no—
1966C2×C4—2444no—
1967C2×C4—2444no—
1968C2×C4—2444no—
1969C2×C4—2444no—
1970C2×C4C24×D6112yes—
1971C2×C4C24×D6112yes—
1972C2×C4C24×D6112yes—
1973C2×C4C24×D6112yes—
1974C2×C4C24×D6112yes—
1975C2×C4C24×D6112yes—
1976C2×C4C24×D6112yes—
1977C2×C4C24×D6112yes—
1978C2×C4C24×D6112yes—
1979C2×C4C24×D6112yes—
1980C2×C4C24×D6112yes—
1981C22—28no—
1982C22—22no—
1983C22—22no—
1984C22—22no—
1985C22—22no—
1986C22—22no—
1987C22—22no—
1988C22—22no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—44no—
1994C22—44no—
1995C22—44no—
1996C22—88no—
1997C22—614no—
1998C22—1228no—
1999C22—1222no—
2000C22—1222no—
2001C22—1222no—
2002C22—1222no—
2003C22—1222no—
2004C22—1222no—
2005C22—1222no—
2006C22—1222no—
2007C22—1222no—
2008C22—1222no—
2009C22—1222no—
2010C22—1222no—
2011C22—1222no—
2012C22—1222no—
2013C22—4888no—
2014C22—24416no—
2015C22—2444no—
2016C22—2444no—
2017C22—2444no—
2018C22—2444no—
2019C22C2×#41×D6114yes—
2020C22C2×#41×D6112yes—
2021C22H(5,𝔽2)×D6112yes—
2022C22#1684059812yes—
2023C22C25×D6111yescharacteristic
2024C4—22no—
2025C4—22no—
2026C4—22no—
2027C4—22no—
2028C4—22no—
2029C4—22no—
2030C4—22no—
2031C4—22no—
2032C4—22no—
2033C4—22no—
2034C4—22no—
2035C4—614no—
2036C4—614no—
2037C4—1222no—
2038C4—1222no—
2039C4—1222no—
2040C4—1222no—
2041C4—1222no—
2042C4—1222no—
2043C4—1222no—
2044C4—1222no—
2045C4—1222no—
2046C2—24no—
2047C2—42no—
2048C2—42no—
2049C2—42no—
2050C2—1224no—
2051C2—2442no—
2052C2—2442no—
2053C2—2442no—
2054C2—2442no—
2055C2#2145954514yesdirect product factor
2056C2C22×#41×D6111yescharacteristic
2057C2C2×H(5,𝔽2)×D6111yescharacteristic
2058C2C2×#1684059811yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#551C2
socleC23×C61C25
hypercenterC2×#551D61
hypocenterC61C2×#3494
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #21459545C2direct (N × H)
2. C2×#16840475C2semidirect
3. C2×#16840474C2semidirect
4. C2×#16840463C2semidirect
5. C2×#16840463C2semidirect
6. C2×#16840461C2semidirect
7. C2×#16840457C2semidirect
8. C2×#16840438C2semidirect
9. C2×#16840436C2semidirect
10. C2×#16840435C2semidirect
11. C2×#16840414C2semidirect
12. C2×#16840410C2semidirect
13. C2×#16840408C2semidirect
14. C2×#16840403C2semidirect
15. C2×#16840402C2semidirect
16. C2×#16840399C2semidirect
17. C2×#16840391C2semidirect
18. C2×#16840382C2semidirect
19. C2×#16840378C2semidirect
20. C2×#16840364C2semidirect
21. C2×#16840364C2semidirect
22. C2×#16840327C2semidirect
23. C2×#16840311C2semidirect
24. C2×#16840309C2semidirect
25. C2×#16840295C2semidirect
26. C2×#16840290C2semidirect
27. C2×#16840270C2semidirect
28. C22×#14519750C2semidirect
29. C2×#16840241C2semidirect
30. C2×#16840235C2semidirect
31. C2×#117×D61C2semidirect
32. C2×C61×#551C2semidirect
33. C22×#11758226C22semidirect
34. C22×#11758222C22semidirect
35. C22×#11758222C22semidirect
37. C22×#11758224C22semidirect
42. #16840475C22semidirect
43. #16840474C22semidirect
44. #16840463C22semidirect
45. #16840463C22semidirect
46. #16840461C22semidirect
47. #16840457C22semidirect
48. #16840438C22semidirect
49. #16840436C22semidirect
50. #16840435C22semidirect
51. #16840414C22semidirect
52. #16840410C22semidirect
53. #16840408C22semidirect
54. #16840403C22semidirect
55. #16840402C22semidirect
56. #16840399C22semidirect
57. #16840391C22semidirect
58. #16840382C22semidirect
59. #16840378C22semidirect
60. #16840364C22semidirect
61. #16840364C22semidirect
62. #16840327C22semidirect
63. #16840311C22semidirect
64. #16840309C22semidirect
65. C2×#14519776C22semidirect
66. C2×#14519776C22semidirect
67. C2×#14519775C22semidirect
68. C2×#14519775C22semidirect
69. C2×#14519773C22semidirect
70. C2×#14519773C22semidirect
71. #16840295C22semidirect
72. #16840290C22semidirect
73. C2×#14519772C22semidirect
74. C2×#14519772C22semidirect
75. C2×#14519772C22semidirect
76. C2×#14519771C22semidirect
77. C2×#14519770C22semidirect
78. C2×#14519770C22semidirect
79. C2×#14519767C22semidirect
80. C2×#14519767C22semidirect
81. C2×#14519767C22semidirect
82. C2×#14519767C22semidirect
83. C2×#14519766C22semidirect
84. C2×#14519765C22semidirect
85. C2×#14519765C22semidirect
86. C2×#14519763C22semidirect
87. C2×#14519763C22semidirect
88. C2×#14519763C22semidirect
89. C2×#14519763C22semidirect
90. C2×#14519763C22semidirect
91. C2×#14519763C22semidirect
92. #16840270C22semidirect
93. C2×#14519762C22semidirect
94. C2×#14519762C22semidirect
95. C2×#14519762C22semidirect
96. C2×#14519762C22semidirect
97. C2×#14519762C22semidirect
98. C2×#14519762C22semidirect
99. C2×#14519761C22semidirect
100. C2×#14519761C22semidirect
101. C2×#14519761C22semidirect
103. C2×#14519760C22semidirect
104. C2×#14519759C22semidirect
105. C2×#14519759C22semidirect
106. C2×#14519759C22semidirect
107. C2×#14519759C22semidirect
108. C2×#14519757C22semidirect
110. C2×#14519755C22semidirect
111. C2×#14519755C22semidirect
112. C2×#14519755C22semidirect
115. C2×#14519754C22semidirect
116. C2×#14519752C22semidirect
117. C2×#14519752C22semidirect
118. C2×#14519752C22semidirect
119. C2×#14519751C22semidirect
120. C2×#14519751C22semidirect
129. C2×#14519750C22semidirect
130. C2×#14519750C22semidirect
131. C2×#14519750C22semidirect
132. C2×#14519750C22semidirect
133. C2×#14519750C22semidirect
134. C2×#14519750C22semidirect
135. C2×#14519750C22semidirect
136. C2×#14519750C22semidirect
137. C2×#14519750C22semidirect
138. C2×#14519749C22semidirect
139. C2×#14519749C22semidirect
140. C2×#14519749C22semidirect
141. C2×#14519749C22semidirect
142. C2×#14519748C22semidirect
148. #16840241C22semidirect
149. #16840235C22semidirect
150. C2×C4×Dic122C22semidirect
151. C2×#14519742C22semidirect
152. C2×C4×D244C22semidirect
153. C2×C4×D244C22semidirect
155. C2×#14519739C22semidirect
156. C2×#14519739C22semidirect
157. C2×#14519739C22semidirect
159. C2×C4×C22⋊D61C22semidirect
160. C2×C4×C22⋊D61C22semidirect
161. C2×C4×C22⋊D61C22semidirect
162. C2×C4×C22⋊D61C22semidirect
163. C2×C4×C22⋊D61C22semidirect
164. C2×C4×C22⋊D61C22semidirect
166. C2×#14519737C22semidirect
167. C2×#14519737C22semidirect
168. C2×#14519737C22semidirect
169. C2×#14519737C22semidirect
170. C2×#14519737C22semidirect
171. C2×#14519737C22semidirect
172. C2×#14519737C22semidirect
173. C2×#14519737C22semidirect
174. C2×#14519737C22semidirect
175. C2×#14519737C22semidirect
177. C2×#14519735C22semidirect
178. C2×#14519735C22semidirect
179. C2×#14519735C22semidirect
180. C2×#14519734C22semidirect
181. C2×#14519734C22semidirect
182. C2×#14519734C22semidirect
183. C2×#14519734C22semidirect
187. C2×#14519733C22semidirect
188. C2×#14519733C22semidirect
189. #117×D61C22semidirect
191. C22×#11758196C22semidirect
192. C2×C4⋊C4×D61C22semidirect
193. C2×C4⋊C4×D61C22semidirect
194. C2×C4⋊C4×D61C22semidirect
201. C2×C42×D61C22semidirect
202. C2×C42×D61C22semidirect
203. C61×#551C22semidirect
204. C2×#126×C61C22semidirect
205. C2×#126×C61C22semidirect
206. C2×#124×C61C22semidirect
208. C2×#123×C61C22semidirect
209. C2×#123×C61C22semidirect
211. C2×C22⋊Q8×C61C22semidirect
214. C2×C4×D4×C61C22semidirect
216. C2×#117×C61C22semidirect
222. C2×#11758226C23semidirect
225. C2×#11758222C23semidirect
226. C2×#11758222C23semidirect
230. C2×#11758224C23semidirect
288. #14519776C23semidirect
289. #14519776C23semidirect
290. #14519775C23semidirect
291. #14519775C23semidirect
292. #14519773C23semidirect
293. #14519773C23semidirect
294. #14519772C23semidirect
295. #14519772C23semidirect
296. #14519772C23semidirect
297. #14519771C23semidirect
298. #14519770C23semidirect
299. #14519770C23semidirect
300. #14519767C23semidirect
301. #14519767C23semidirect
302. #14519767C23semidirect
303. #14519767C23semidirect
304. #14519766C23semidirect
305. #14519765C23semidirect
306. #14519765C23semidirect
307. #14519763C23semidirect
308. #14519763C23semidirect
309. #14519763C23semidirect
310. #14519763C23semidirect
311. #14519763C23semidirect
312. #14519763C23semidirect
313. #14519762C23semidirect
314. #14519762C23semidirect
315. #14519762C23semidirect
316. #14519762C23semidirect
317. #14519762C23semidirect
318. #14519762C23semidirect
319. #14519761C23semidirect
320. #14519761C23semidirect
321. #14519761C23semidirect
323. #14519760C23semidirect
324. #14519759C23semidirect
325. #14519759C23semidirect
326. #14519759C23semidirect
327. #14519759C23semidirect
328. #14519757C23semidirect
330. #14519755C23semidirect
331. #14519755C23semidirect
332. #14519755C23semidirect
335. #14519754C23semidirect
336. #14519752C23semidirect
337. #14519752C23semidirect
338. #14519752C23semidirect
339. #14519751C23semidirect
340. #14519751C23semidirect
349. #14519750C23semidirect
350. #14519750C23semidirect
351. #14519750C23semidirect
352. #14519750C23semidirect
353. #14519750C23semidirect
354. #14519750C23semidirect
355. #14519750C23semidirect
356. #14519750C23semidirect
357. #14519749C23semidirect
358. #14519749C23semidirect
359. #14519749C23semidirect
360. #14519749C23semidirect
361. #14519748C23semidirect
367. C4×Dic122C23semidirect
368. #14519742C23semidirect
369. C4×D244C23semidirect
370. C4×D244C23semidirect
372. #14519739C23semidirect
373. #14519739C23semidirect
374. #14519739C23semidirect
376. C4×C22⋊D61C23semidirect
377. C4×C22⋊D61C23semidirect
378. C4×C22⋊D61C23semidirect
379. C4×C22⋊D61C23semidirect
380. C4×C22⋊D61C23semidirect
381. C4×C22⋊D61C23semidirect
383. #14519737C23semidirect
384. #14519737C23semidirect
385. #14519737C23semidirect
386. #14519737C23semidirect
387. #14519737C23semidirect
388. #14519737C23semidirect
389. #14519737C23semidirect
390. #14519737C23semidirect
391. #14519737C23semidirect
392. #14519737C23semidirect
394. #14519735C23semidirect
395. #14519735C23semidirect
396. #14519735C23semidirect
397. #14519734C23semidirect
398. #14519734C23semidirect
399. #14519734C23semidirect
400. #14519734C23semidirect
404. #14519733C23semidirect
405. #14519733C23semidirect
433. C2×#11758196C23semidirect
434. C4⋊C4×D61C23semidirect
435. C4⋊C4×D61C23semidirect
436. C4⋊C4×D61C23semidirect
486. C42×D61C23semidirect
487. C42×D61C23semidirect
498. #126×C61C23semidirect
499. #126×C61C23semidirect
500. #124×C61C23semidirect
502. #123×C61C23semidirect
503. #123×C61C23semidirect
505. C22⋊Q8×C61C23semidirect
508. C4×D4×C61C23semidirect
510. #117×C61C23semidirect
627. C22×Dic61#41semidirect
912. C2×Dic61C2×#41semidirect
1027. C2×#551D61semidirect
1053. C2×C61#3494semidirect
1080. #551C2×D61semidirect
1109. C2×#126C2×D61semidirect
1110. C2×#126C2×D61semidirect
1124. C2×#124C2×D61semidirect
1142. C2×#123C2×D61semidirect
1143. C2×#123C2×D61semidirect
1153. C2×C22⋊Q8C2×D61semidirect
1216. C2×C4×D4C2×D61semidirect
1232. C2×#117C2×D61semidirect
1248. C61C2×#3494semidirect
1340. #126C22×D61semidirect
1341. #126C22×D61semidirect
1355. #124C22×D61semidirect
1372. #123C22×D61semidirect
1373. #123C22×D61semidirect
1383. C22⋊Q8C22×D61semidirect
1443. C4×D4C22×D61semidirect
1458. #117C22×D61semidirect
2055. C2#21459545direct (N × H)

Maximal subgroups

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

subgroupindex
#214595452
C2×#168404752
C2×#168404742
C2×#168404632
C2×#168404612
C2×#168404572
C2×#168404382
C2×#168404362
C2×#168404352
C2×#168404142
C2×#168404102
C2×#168404082
C2×#168404032
C2×#168404022
C2×#168403992
C2×#168403912
C2×#168403822
C2×#168403782
C2×#168403642
C2×#168403272
C2×#168403112
C2×#168403092
C2×#168402952
C2×#168402902
C2×#168402702
C22×#145197502
C2×#168402412
C2×#168402352
C2×#117×D612
C2×C61×#5512
C2×#349461