Finite Group Databasebeta

← C2×#21460090 #30587308

Subgroups — C2×#21460090 #30587308

Order 15616.

7418 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460090C2132yesmaximal, direct product factor
2C2×#16840505C211yesmaximal, characteristic, complemented
3C2×#16840504C211yesmaximal, characteristic, complemented
4C2×#16840500C211yesmaximal, characteristic, complemented
5C2×#16840500C211yesmaximal, characteristic, complemented
6C2×#16840495C211yesmaximal, characteristic, complemented
7C2×#16840494C211yesmaximal, characteristic, complemented
8C2×#16840481C211yesmaximal, characteristic, complemented
9C2×#16840479C211yesmaximal, characteristic, complemented
10C2×#16840476C211yesmaximal, characteristic, complemented
11C2×#16840474C211yesmaximal, characteristic, complemented
12C2×#16840438C211yesmaximal, characteristic, complemented
13C2×#16840437C211yesmaximal, characteristic, complemented
14C2×#16840421C211yesmaximal, characteristic, complemented
15C2×#16840418C211yesmaximal, characteristic, complemented
16C2×#16840402C211yesmaximal, characteristic, complemented
17C2×#16840399C211yesmaximal, characteristic, complemented
18C2×#16840385C211yesmaximal, characteristic, complemented
19C2×#16840382C211yesmaximal, characteristic, complemented
20C2×#16840380C211yesmaximal, characteristic, complemented
21C2×#16840378C211yesmaximal, characteristic, complemented
22C2×#16840378C211yesmaximal, characteristic, complemented
23C2×#16840377C211yesmaximal, characteristic, complemented
24C2×#16840348C211yesmaximal, characteristic, complemented
25C2×#16840347C211yesmaximal, characteristic, complemented
26C2×#16840344C211yesmaximal, characteristic, complemented
27C2×#16840334C211yesmaximal, characteristic, complemented
28C2×#16840327C211yesmaximal, characteristic, complemented
29C2×#16840272C211yesmaximal, characteristic, complemented
30C2×#16840271C211yesmaximal, characteristic, complemented
31C2×#16840270C211yesmaximal, characteristic, complemented
32C2×C61×#538C211yesmaximal, characteristic, complemented
33C22×#11758222C2211yescharacteristic
34C22×#11758224C2211yescharacteristic
35C22×#11758224C2211yescharacteristic
36C23×Dic122C2211yescharacteristic, complemented
37C23×C22⋊D61C2211yescharacteristic, complemented
38C23×C4×D61C2211yescharacteristic, complemented
39#16840505C22116yescomplemented
40#16840504C22116yescomplemented
41#16840500C22116yescomplemented
42#16840500C22116yescomplemented
43#16840495C22116yescomplemented
44#16840494C22116yescomplemented
45#16840481C22116yescomplemented
46#16840479C22116yescomplemented
47#16840476C22116yescomplemented
48#16840474C22116yescomplemented
49#16840438C22116yescomplemented
50#16840437C22116yescomplemented
51#16840421C22116yescomplemented
52#16840418C22116yescomplemented
53#16840402C22116yescomplemented
54#16840399C22116yescomplemented
55#16840385C22116yescomplemented
56#16840382C22116yescomplemented
57#16840380C22116yescomplemented
58#16840378C22116yescomplemented
59#16840378C22116yescomplemented
60#16840377C22116yescomplemented
61#16840348C22116yescomplemented
62#16840347C22116yescomplemented
63#16840344C22116yescomplemented
64#16840334C22116yescomplemented
65#16840327C22116yescomplemented
66C2×#14519776C2211yescharacteristic, complemented
67C2×#14519776C2211yescharacteristic, complemented
68C2×#14519776C2211yescharacteristic, complemented
69C2×#14519775C2211yescharacteristic, complemented
70C2×#14519773C2211yescharacteristic
71C2×#14519773C2211yescharacteristic
72C2×#14519772C2211yescharacteristic, complemented
73C2×#14519772C2211yescharacteristic, complemented
74C2×#14519772C2211yescharacteristic, complemented
75C2×#14519772C2211yescharacteristic, complemented
76C2×#14519770C2211yescharacteristic, complemented
77C2×#14519770C2211yescharacteristic, complemented
78C2×#14519770C2211yescharacteristic, complemented
79C2×#14519770C2211yescharacteristic, complemented
80C2×#14519770C2211yescharacteristic, complemented
81C2×#14519770C2211yescharacteristic, complemented
82C2×#14519766C2211yescharacteristic, complemented
83C2×#14519766C2211yescharacteristic, complemented
84C2×#14519765C2211yescharacteristic, complemented
85C2×#14519765C2211yescharacteristic, complemented
86C2×#14519764C2211yescharacteristic
87C2×#14519764C2211yescharacteristic, complemented
88C2×#14519764C2211yescharacteristic, complemented
89C2×#14519764C2211yescharacteristic, complemented
90C2×#14519763C2211yescharacteristic
91C2×#14519763C2211yescharacteristic
92C2×#14519763C2211yescharacteristic
93C2×#14519763C2211yescharacteristic
94C2×#14519763C2211yescharacteristic, complemented
95C2×#14519763C2211yescharacteristic, complemented
96C2×#14519763C2211yescharacteristic, complemented
97C2×#14519763C2211yescharacteristic, complemented
98C2×#14519763C2211yescharacteristic, complemented
99C2×#14519763C2211yescharacteristic, complemented
100C2×#14519763C2211yescharacteristic, complemented
101C2×#14519763C2211yescharacteristic, complemented
102C2×#14519763C2211yescharacteristic, complemented
103C2×#14519763C2211yescharacteristic, complemented
104C2×#14519763C2211yescharacteristic, complemented
105C2×#14519763C2211yescharacteristic, complemented
106#16840272C22116yescomplemented
107#16840271C22116yescomplemented
108#16840270C22116yescomplemented
109C2×#14519762C2211yescharacteristic, complemented
110C2×#14519762C2211yescharacteristic, complemented
111C2×#14519762C2211yescharacteristic, complemented
112C2×#14519761C2211yescharacteristic, complemented
113C2×#14519761C2211yescharacteristic, complemented
114C2×#14519761C2211yescharacteristic, complemented
115C2×#14519760C2211yescharacteristic, complemented
116C2×#14519760C2211yescharacteristic, complemented
117C2×#14519760C2211yescharacteristic, complemented
118C2×#14519760C2211yescharacteristic, complemented
119C2×#14519759C2211yescharacteristic
120C2×#14519759C2211yescharacteristic, complemented
121C2×#14519759C2211yescharacteristic, complemented
122C2×#14519759C2211yescharacteristic, complemented
123C2×#14519759C2211yescharacteristic, complemented
124C2×#14519758C2211yescharacteristic, complemented
125C2×#14519757C2211yescharacteristic, complemented
126C2×#14519757C2211yescharacteristic, complemented
127C2×#14519757C2211yescharacteristic, complemented
128C2×#14519756C2211yescharacteristic, complemented
129C2×#14519756C2211yescharacteristic, complemented
130C2×#14519755C2211yescharacteristic, complemented
131C2×#14519755C2211yescharacteristic, complemented
132C2×#14519755C2211yescharacteristic, complemented
133C2×#14519755C2211yescharacteristic, complemented
134C2×#14519755C2211yescharacteristic, complemented
135C2×#14519754C2211yescharacteristic, complemented
136C2×#14519754C2211yescharacteristic, complemented
137C2×#14519754C2211yescharacteristic, complemented
138C2×#14519754C2211yescharacteristic, complemented
139C2×#14519754C2211yescharacteristic, complemented
140C2×#14519751C2211yescharacteristic
141C2×#14519751C2211yescharacteristic, complemented
142C2×#14519750C2211yescharacteristic
143C2×#14519750C2211yescharacteristic
144C2×#14519750C2211yescharacteristic
145C2×#14519750C2211yescharacteristic
146C2×#14519750C2211yescharacteristic, complemented
147C2×#14519749C2211yescharacteristic
148C2×#14519749C2211yescharacteristic
149C2×#14519749C2211yescharacteristic, complemented
150C2×#14519749C2211yescharacteristic, complemented
151C2×#14519749C2211yescharacteristic, complemented
152C2×#14519749C2211yescharacteristic, complemented
153C2×#14519749C2211yescharacteristic, complemented
154C2×#14519748C2211yescharacteristic
155C2×#14519748C2211yescharacteristic
156C2×#14519748C2211yescharacteristic, complemented
157C2×#14519747C2211yescharacteristic
158C2×#14519747C2211yescharacteristic
159C2×#14519747C2211yescharacteristic, complemented
160C2×#14519747C2211yescharacteristic, complemented
161C2×#14519746C2211yescharacteristic
162C2×#14519746C2211yescharacteristic
163C2×#14519745C2211yescharacteristic
164C2×#14519745C2211yescharacteristic
165C2×#14519745C2211yescharacteristic, complemented
166C2×#14519745C2211yescharacteristic, complemented
167C2×#14519745C2211yescharacteristic, complemented
168C2×#14519745C2211yescharacteristic, complemented
169C2×Q8×Dic61C2211yescharacteristic, complemented
170C2×C4×Dic122C2211yescharacteristic, complemented
171C2×C4×Dic122C2211yescharacteristic, complemented
172C2×C4×Dic122C2211yescharacteristic, complemented
173C2×#14519742C2211yescharacteristic, complemented
174C2×#14519742C2211yescharacteristic, complemented
175C2×C4×D244C2211yescharacteristic, complemented
176C2×D4×Dic61C2211yescharacteristic
177C2×D4×Dic61C2211yescharacteristic, complemented
178C2×D4×Dic61C2211yescharacteristic, complemented
179C2×#14519739C2211yescharacteristic, complemented
180C2×#14519739C2211yescharacteristic, complemented
181C2×C4×C22⋊D61C2211yescharacteristic, complemented
182C2×C4×C22⋊D61C2211yescharacteristic, complemented
183C2×C4×C22⋊D61C2211yescharacteristic, complemented
184C2×C4×C22⋊D61C2211yescharacteristic, complemented
185C2×#14519737C2211yescharacteristic
186C2×#14519737C2211yescharacteristic, complemented
187C2×#14519737C2211yescharacteristic, complemented
188C2×#14519737C2211yescharacteristic, complemented
189C2×#14519737C2211yescharacteristic, complemented
190C2×#14519737C2211yescharacteristic, complemented
191C2×#14519736C2211yescharacteristic, complemented
192C2×#14519735C2211yescharacteristic, complemented
193C2×#14519735C2211yescharacteristic, complemented
194C2×#14519734C2211yescharacteristic, complemented
195C2×#14519734C2211yescharacteristic, complemented
196C2×#14519733C2211yescharacteristic, complemented
197C2×#14519733C2211yescharacteristic, complemented
198C2×#14519733C2211yescharacteristic, complemented
199C2×#14519733C2211yescharacteristic, complemented
200C22×C22⋊Dic61C2211yescharacteristic, complemented
201C2×C22⋊C4×D61C2211yescharacteristic, complemented
202C2×C22⋊C4×D61C2211yescharacteristic, complemented
203C61×#538C22116yescomplemented
204C2×#126×C61C2211yescharacteristic, complemented
205C2×#126×C61C2211yescharacteristic, complemented
206C2×#124×C61C2211yescharacteristic
207C2×#124×C61C2211yescharacteristic, complemented
208C2×#123×C61C2211yescharacteristic, complemented
209C2×#123×C61C2211yescharacteristic, complemented
210C2×C22⋊Q8×C61C2211yescharacteristic, complemented
211C2×#121×C61C2211yescharacteristic
212C2×#121×C61C2211yescharacteristic, complemented
213C2×#121×C61C2211yescharacteristic, complemented
214C2×#120×C61C2211yescharacteristic
215C2×#120×C61C2211yescharacteristic, complemented
216C2×C4×D4×C61C2211yescharacteristic, complemented
217C2×C4×D4×C61C2211yescharacteristic, complemented
218C22×C22⋊C4×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C24×D61C2311yescharacteristic
221C2×#11758222—44no—
222C2×#11758222C2318yes—
223C2×#11758224—44no—
224C2×#11758224—44no—
225C2×#11758224C2318yes—
226C2×#11758224C2318yes—
227C22×Dic122—44no—
228C22×Dic122C2311yescharacteristic
229C22×Dic122C2311yescharacteristic
230C22×Dic122C2311yescharacteristic
231C22×Dic122C2311yescharacteristic
232C22×Dic122C2311yescharacteristic
233C22×Dic122C2311yescharacteristic
234C22×Dic122C2311yescharacteristic
235C22×Dic122C2311yescharacteristic
236C22×Dic122C2318yescomplemented
237C22×D244C2311yescharacteristic
238C22×D244C2311yescharacteristic
239C22×D244C2311yescharacteristic
240C22×D244C2311yescharacteristic
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⋊D61C2318yescomplemented
259C23×Dic61C2311yescharacteristic
260C23×Dic61C2311yescharacteristic
261C23×Dic61C2311yescharacteristic
262C23×Dic61C2311yescharacteristic
263C23×Dic61C2311yescharacteristic
264C23×Dic61C2311yescharacteristic
265C22×C4×D61—44no—
266C22×C4×D61C2311yescharacteristic
267C22×C4×D61C2311yescharacteristic
268C22×C4×D61C2311yescharacteristic
269C22×C4×D61C2311yescharacteristic
270C22×C4×D61C2311yescharacteristic
271C22×C4×D61C2311yescharacteristic
272C22×C4×D61C2311yescharacteristic
273C22×C4×D61C2311yescharacteristic
274C22×C4×D61C2318yescomplemented
275#14519776C2318yescomplemented
276#14519776C2318yescomplemented
277#14519776C2318yescomplemented
278#14519775C2318yescomplemented
279#14519773C2318yes—
280#14519773C2318yes—
281#14519772C2318yescomplemented
282#14519772C2318yescomplemented
283#14519772C2318yescomplemented
284#14519772C2318yescomplemented
285#14519770C2318yescomplemented
286#14519770C2318yescomplemented
287#14519770C2318yescomplemented
288#14519770C2318yescomplemented
289#14519770C2318yescomplemented
290#14519770C2318yescomplemented
291#14519766C2318yescomplemented
292#14519766C2318yescomplemented
293#14519765C2318yescomplemented
294#14519765C2318yescomplemented
295#14519764C2318yes—
296#14519764C2318yescomplemented
297#14519764C2318yescomplemented
298#14519764C2318yescomplemented
299#14519763C2318yes—
300#14519763C2318yes—
301#14519763C2318yes—
302#14519763C2318yes—
303#14519763C2318yescomplemented
304#14519763C2318yescomplemented
305#14519763C2318yescomplemented
306#14519763C2318yescomplemented
307#14519763C2318yescomplemented
308#14519763C2318yescomplemented
309#14519763C2318yescomplemented
310#14519763C2318yescomplemented
311#14519763C2318yescomplemented
312#14519763C2318yescomplemented
313#14519763C2318yescomplemented
314#14519763C2318yescomplemented
315#14519762C2318yescomplemented
316#14519762C2318yescomplemented
317#14519762C2318yescomplemented
318#14519761C2318yescomplemented
319#14519761C2318yescomplemented
320#14519761C2318yescomplemented
321#14519760C2318yescomplemented
322#14519760C2318yescomplemented
323#14519760C2318yescomplemented
324#14519760C2318yescomplemented
325#14519759C2318yes—
326#14519759C2318yescomplemented
327#14519759C2318yescomplemented
328#14519759C2318yescomplemented
329#14519759C2318yescomplemented
330#14519758C2318yescomplemented
331#14519757C2318yescomplemented
332#14519757C2318yescomplemented
333#14519757C2318yescomplemented
334#14519756C2318yescomplemented
335#14519756C2318yescomplemented
336#14519755C2318yescomplemented
337#14519755C2318yescomplemented
338#14519755C2318yescomplemented
339#14519755C2318yescomplemented
340#14519755C2318yescomplemented
341#14519754C2318yescomplemented
342#14519754C2318yescomplemented
343#14519754C2318yescomplemented
344#14519754C2318yescomplemented
345#14519754C2318yescomplemented
346#14519751C2318yes—
347#14519751C2318yescomplemented
348#14519750C2318yes—
349#14519750C2318yes—
350#14519750C2318yes—
351#14519750C2318yes—
352#14519750C2318yescomplemented
353#14519749C2318yes—
354#14519749C2318yes—
355#14519749C2318yescomplemented
356#14519749C2318yescomplemented
357#14519749C2318yescomplemented
358#14519749C2318yescomplemented
359#14519749C2318yescomplemented
360#14519748C2318yes—
361#14519748C2318yes—
362#14519748C2318yescomplemented
363#14519747C2318yes—
364#14519747C2318yes—
365#14519747C2318yescomplemented
366#14519747C2318yescomplemented
367#14519746C2318yes—
368#14519746C2318yes—
369#14519745C2318yes—
370#14519745C2318yes—
371#14519745C2318yescomplemented
372#14519745C2318yescomplemented
373#14519745C2318yescomplemented
374#14519745C2318yescomplemented
375Q8×Dic61C2318yescomplemented
376C4×Dic122C2318yescomplemented
377C4×Dic122C2318yescomplemented
378C4×Dic122C2318yescomplemented
379#14519742C2318yescomplemented
380#14519742C2318yescomplemented
381C4×D244C2318yescomplemented
382D4×Dic61C2318yes—
383D4×Dic61C2318yescomplemented
384D4×Dic61C2318yescomplemented
385#14519739C2318yescomplemented
386#14519739C2318yescomplemented
387C4×C22⋊D61C2318yescomplemented
388C4×C22⋊D61C2318yescomplemented
389C4×C22⋊D61C2318yescomplemented
390C4×C22⋊D61C2318yescomplemented
391#14519737C2318yes—
392#14519737C2318yescomplemented
393#14519737C2318yescomplemented
394#14519737C2318yescomplemented
395#14519737C2318yescomplemented
396#14519737C2318yescomplemented
397#14519736C2318yescomplemented
398#14519735C2318yescomplemented
399#14519735C2318yescomplemented
400#14519734C2318yescomplemented
401#14519734C2318yescomplemented
402#14519733C2318yescomplemented
403#14519733C2318yescomplemented
404#14519733C2318yescomplemented
405#14519733C2318yescomplemented
406C2×C4⋊Dic61C2311yescharacteristic
407C2×C4⋊Dic61C2311yescharacteristic
408C2×C4⋊Dic61C2311yescharacteristic
409C2×C4⋊Dic61C2311yescharacteristic
410C2×C4⋊Dic61C2311yescharacteristic
411C2×C4⋊Dic61C2311yescharacteristic
412C2×C4⋊Dic61C2311yescharacteristic
413C2×C4⋊Dic61C2311yescharacteristic
414C2×#11758196C2311yescharacteristic
415C2×#11758196C2311yescharacteristic
416C2×#11758196C2311yescharacteristic
417C2×#11758196C2311yescharacteristic
418C2×#11758196C2311yescharacteristic
419C2×#11758196C2311yescharacteristic
420C2×#11758196C2311yescharacteristic
421C2×#11758196C2311yescharacteristic
422C2×#11758196C2311yescharacteristic
423C2×#11758196C2311yescharacteristic
424C2×#11758196C2311yescharacteristic
425C2×#11758196C2311yescharacteristic
426C2×#11758196C2311yescharacteristic
427C2×#11758196C2311yescharacteristic
428C2×#11758196C2311yescharacteristic
429C2×#11758196C2311yescharacteristic
430C2×C22⋊Dic61C2311yescharacteristic
431C2×C22⋊Dic61C2311yescharacteristic
432C2×C22⋊Dic61C2311yescharacteristic
433C2×C22⋊Dic61C2311yescharacteristic
434C2×C22⋊Dic61C2311yescharacteristic
435C2×C22⋊Dic61C2311yescharacteristic
436C2×C22⋊Dic61C2311yescharacteristic
437C2×C22⋊Dic61C2311yescharacteristic
438C2×C22⋊Dic61C2311yescharacteristic
439C2×C22⋊Dic61C2311yescharacteristic
440C2×C22⋊Dic61C2311yescharacteristic
441C2×C22⋊Dic61C2311yescharacteristic
442C2×C22⋊Dic61C2311yescharacteristic
443C2×C22⋊Dic61C2311yescharacteristic
444C2×C22⋊Dic61C2311yescharacteristic
445C2×C22⋊Dic61C2311yescharacteristic
446C2×C22⋊Dic61C2318yescomplemented
447C2×#11758198C2311yescharacteristic
448C2×#11758198C2311yescharacteristic
449C2×#11758198C2311yescharacteristic
450C2×#11758198C2311yescharacteristic
451C2×#11758198C2311yescharacteristic
452C2×#11758198C2311yescharacteristic
453C2×#11758198C2311yescharacteristic
454C2×#11758198C2311yescharacteristic
455C2×#11758198C2311yescharacteristic
456C2×#11758198C2311yescharacteristic
457C2×#11758198C2311yescharacteristic
458C2×#11758198C2311yescharacteristic
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×D61C2318yescomplemented
472C22⋊C4×D61C2318yescomplemented
473C2×C4×Dic61C2311yescharacteristic
474C2×C4×Dic61C2311yescharacteristic
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
485C25×C61C2311yescharacteristic
486C22×Q8×C61C2311yescharacteristic
487C22×D4×C61C2311yescharacteristic
488C22×D4×C61C2311yescharacteristic
489C22×D4×C61C2311yescharacteristic
490C22×D4×C61C2311yescharacteristic
491C22×D4×C61C2311yescharacteristic
492C22×D4×C61C2311yescharacteristic
493C22×D4×C61C2311yescharacteristic
494C23×C4×C61C2311yescharacteristic
495C23×C4×C61C2311yescharacteristic
496C23×C4×C61C2311yescharacteristic
497C23×C4×C61C2311yescharacteristic
498#126×C61C2318yescomplemented
499#126×C61C2318yescomplemented
500#124×C61C2318yes—
501#124×C61C2318yescomplemented
502#123×C61C2318yescomplemented
503#123×C61C2318yescomplemented
504C22⋊Q8×C61C2318yescomplemented
505#121×C61C2318yes—
506#121×C61C2318yescomplemented
507#121×C61C2318yescomplemented
508#120×C61C2318yes—
509#120×C61C2318yescomplemented
510C4×D4×C61C2318yescomplemented
511C4×D4×C61C2318yescomplemented
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×C22⋊C4×C61C2311yescharacteristic
519C2×C22⋊C4×C61C2311yescharacteristic
520C2×C22⋊C4×C61C2311yescharacteristic
521C2×C22⋊C4×C61C2311yescharacteristic
522C2×C22⋊C4×C61C2311yescharacteristic
523C2×C22⋊C4×C61C2311yescharacteristic
524C2×C22⋊C4×C61C2311yescharacteristic
525C2×C22⋊C4×C61C2311yescharacteristic
526C2×C22⋊C4×C61C2311yescharacteristic
527C2×C22⋊C4×C61C2311yescharacteristic
528C2×C22⋊C4×C61C2311yescharacteristic
529C2×C22⋊C4×C61C2311yescharacteristic
530C2×C22⋊C4×C61C2311yescharacteristic
531C2×C22⋊C4×C61C2311yescharacteristic
532C2×C22⋊C4×C61C2318yescomplemented
533C2×C42×C61C2311yescharacteristic
534C2×C42×C61C2311yescharacteristic
535C24×C61—42no—
536C24×C61—42no—
537C24×C61—42no—
538C24×C61C2411yescharacteristic
539C24×C61C2411yescharacteristic
540C24×C61C2411yescharacteristic
541C24×C61C2411yescharacteristic
542C24×C61C2411yescharacteristic
543C24×C61C2414yes—
544C23×D61—42no—
545C23×D61—42no—
546C23×D61—42no—
547C23×D61—42no—
548C23×D61—42no—
549C23×D61—42no—
550C23×D61C2411yescharacteristic
551C23×D61C2411yescharacteristic
552C23×D61C2411yescharacteristic
553C23×D61C2411yescharacteristic
554C23×D61C2414yes—
555C23×D61C2414yes—
556C2×Q8×C61—42no—
557C2×Q8×C61C2414yes—
558C2×D4×C61—42no—
559C2×D4×C61—42no—
560C2×D4×C61—42no—
561C2×D4×C61—42no—
562C2×D4×C61—42no—
563C2×D4×C61—42no—
564C2×D4×C61—42no—
565C2×D4×C61C2414yes—
566C2×D4×C61C2414yes—
567C2×D4×C61C2414yes—
568C2×D4×C61C2414yes—
569C2×D4×C61C2414yes—
570C2×D4×C61C2414yes—
571C2×D4×C61C2414yes—
572C22×C4×C61—42no—
573C22×C4×C61—42no—
574C22×C4×C61—42no—
575C22×C4×C61—42no—
576C22×C4×C61C2411yescharacteristic
577C22×C4×C61C2411yescharacteristic
578C22×C4×C61C2411yescharacteristic
579C22×C4×C61C2411yescharacteristic
580C22×C4×C61C2411yescharacteristic
581C22×C4×C61C2411yescharacteristic
582C22×C4×C61C2411yescharacteristic
583C22×C4×C61C2411yescharacteristic
584C22×C4×C61C2411yescharacteristic
585C22×C4×C61C2411yescharacteristic
586C22×C4×C61C2414yes—
587C22×C4×C61C2414yes—
588C22×C4×C61C2414yes—
589C22×C4×C61C2414yes—
590C2×C22⋊D61—24no—
591C2×C22⋊D61—24no—
592C2×C22⋊D61—416no—
593C2×C22⋊D61—42no—
594C2×C22⋊D61—42no—
595C2×C22⋊D61—42no—
596C2×C22⋊D61—42no—
597C2×C22⋊D61—42no—
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—42no—
606C2×C22⋊D61—42no—
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—
622C2×C22⋊D61C2414yes—
623C22×Dic61—24no—
624C22×Dic61—24no—
625C22×Dic61—24no—
626C22×Dic61—42no—
627C22×Dic61—42no—
628C22×Dic61—42no—
629C22×Dic61C2411yescharacteristic
630C22×Dic61C2411yescharacteristic
631C22×Dic61C2411yescharacteristic
632C22×Dic61C2411yescharacteristic
633C22×Dic61C2414yes—
634C22×Dic61C2411yescharacteristic
635C22×Dic61C2411yescharacteristic
636C22×Dic61C2411yescharacteristic
637C22×Dic61C2411yescharacteristic
638C22×Dic61C2414yes—
639C22×Dic61C2414yes—
640C22×Dic61C2411yescharacteristic
641C22×Dic61C2411yescharacteristic
642C22×Dic61C2411yescharacteristic
643C22×Dic61C2414yes—
644C22×Dic61C2414yes—
645C22×Dic61C2414yes—
646C22×Dic61C2411yescharacteristic
647#11758224—416no—
648#11758224—416no—
649#11758222—416no—
650C2×D244—42no—
651C2×D244—42no—
652C2×D244—42no—
653C2×D244—42no—
654C2×D244C2414yes—
655C2×D244C2414yes—
656C2×D244C2414yes—
657C2×D244C2414yes—
658C2×C4×D61—24no—
659C2×C4×D61—24no—
660C2×C4×D61—416no—
661C2×C4×D61—42no—
662C2×C4×D61—42no—
663C2×C4×D61—42no—
664C2×C4×D61—42no—
665C2×C4×D61—42no—
666C2×C4×D61—42no—
667C2×C4×D61C2414yes—
668C2×C4×D61C2414yes—
669C2×C4×D61C2414yes—
670C2×C4×D61C2414yes—
671C2×C4×D61C2414yes—
672C2×C4×D61C2414yes—
673C2×C4×D61C2414yes—
674C2×C4×D61C2414yes—
675C2×Dic122—24no—
676C2×Dic122—24no—
677C2×Dic122—416no—
678C2×Dic122—42no—
679C2×Dic122—42no—
680C2×Dic122—42no—
681C2×Dic122—42no—
682C2×Dic122—42no—
683C2×Dic122—42no—
684C2×Dic122C2414yes—
685C2×Dic122C2414yes—
686C2×Dic122C2414yes—
687C2×Dic122C2414yes—
688C2×Dic122C2414yes—
689C2×Dic122C2414yes—
690C2×Dic122C2414yes—
691C2×Dic122C2414yes—
692C4⋊C4×C61C2414yes—
693C4⋊C4×C61C2414yes—
694C4⋊C4×C61C2414yes—
695C4⋊C4×C61C2414yes—
696C4⋊C4×C61C2414yes—
697C4⋊C4×C61C2414yes—
698C22⋊C4×C61C2414yes—
699C22⋊C4×C61C2414yes—
700C22⋊C4×C61C2414yes—
701C22⋊C4×C61C2414yes—
702C22⋊C4×C61C2414yes—
703C22⋊C4×C61C2414yes—
704C22⋊C4×C61C2414yes—
705C22⋊C4×C61C2414yes—
706C22⋊C4×C61C2414yes—
707C22⋊C4×C61C2414yes—
708C22⋊C4×C61C2414yes—
709C22⋊C4×C61C2414yes—
710C22⋊C4×C61C2414yes—
711C22⋊C4×C61C2414yes—
712C42×C61C2414yes—
713C42×C61C2414yes—
714C22⋊Dic61C2414yes—
715C22⋊Dic61C2414yes—
716C22⋊Dic61C2414yes—
717C22⋊Dic61C2414yes—
718C22⋊Dic61C2414yes—
719C22⋊Dic61C2414yes—
720C22⋊Dic61C2414yes—
721C22⋊Dic61C2414yes—
722C22⋊Dic61C2414yes—
723C22⋊Dic61C2414yes—
724C22⋊Dic61C2414yes—
725C22⋊Dic61C2414yes—
726C22⋊Dic61C2414yes—
727C22⋊Dic61C2414yes—
728C22⋊Dic61C2414yes—
729C22⋊Dic61C2414yes—
730#11758198C2414yes—
731#11758198C2414yes—
732#11758198C2414yes—
733#11758198C2414yes—
734#11758198C2414yes—
735#11758198C2414yes—
736#11758198C2414yes—
737#11758198C2414yes—
738#11758198C2414yes—
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—
754C4⋊Dic61C2414yes—
755C4⋊Dic61C2414yes—
756C4⋊Dic61C2414yes—
757C4⋊Dic61C2414yes—
758C4⋊Dic61C2414yes—
759C4⋊Dic61C2414yes—
760C4⋊Dic61C2414yes—
761C4⋊Dic61C2414yes—
762#11758196C2414yes—
763#11758196C2414yes—
764#11758196C2414yes—
765#11758196C2414yes—
766#11758196C2414yes—
767#11758196C2414yes—
768#11758196C2414yes—
769#11758196C2414yes—
770#11758196C2414yes—
771#11758196C2414yes—
772#11758196C2414yes—
773#11758196C2414yes—
774#11758196C2414yes—
775#11758196C2414yes—
776#11758196C2414yes—
777#11758196C2414yes—
778C4×Dic61C2414yes—
779C4×Dic61C2414yes—
780C4×Dic61C2414yes—
781C4×Dic61C2414yes—
782C4×Dic61C2414yes—
783C4×Dic61C2414yes—
784C4×Dic61C2414yes—
785C4×Dic61C2414yes—
786C4×Dic61C2414yes—
787C4×Dic61C2414yes—
788C4×Dic61C2414yes—
789C4×Dic61C2414yes—
790C23×C61—22no—
791C23×C61—22no—
792C23×C61—22no—
793C23×C61—22no—
794C23×C61—22no—
795C23×C61—22no—
796C23×C61—22no—
797C23×C61—22no—
798C23×C61—22no—
799C23×C61—22no—
800C23×C61—22no—
801C23×C61—22no—
802C23×C61—22no—
803C23×C61—22no—
804C23×C61—22no—
805C23×C61—44no—
806C23×C61—44no—
807C23×C61—44no—
808C23×C61—88no—
809C23×C61C2512yes—
810C23×C61C2512yes—
811C23×C61C2512yes—
812C23×C61C2512yes—
813C23×C61C2512yes—
814C23×C61C2511yescharacteristic
815C22×D61—22no—
816C22×D61—22no—
817C22×D61—22no—
818C22×D61—22no—
819C22×D61—22no—
820C22×D61—22no—
821C22×D61—22no—
822C22×D61—22no—
823C22×D61—22no—
824C22×D61—22no—
825C22×D61—22no—
826C22×D61—22no—
827C22×D61—44no—
828C22×D61—44no—
829C22×D61—44no—
830C22×D61—44no—
831C22×D61—44no—
832C22×D61—44no—
833C22×D61—416no—
834C22×D61—88no—
835C22×D61C2512yes—
836C22×D61C2512yes—
837C22×D61C2512yes—
838C22×D61C2512yes—
839Q8×C61—44no—
840D4×C61—44no—
841D4×C61—44no—
842D4×C61—44no—
843D4×C61—44no—
844D4×C61—44no—
845D4×C61—44no—
846D4×C61—44no—
847C2×C4×C61—22no—
848C2×C4×C61—22no—
849C2×C4×C61—22no—
850C2×C4×C61—22no—
851C2×C4×C61—22no—
852C2×C4×C61—22no—
853C2×C4×C61—22no—
854C2×C4×C61—22no—
855C2×C4×C61—22no—
856C2×C4×C61—22no—
857C2×C4×C61—44no—
858C2×C4×C61—44no—
859C2×C4×C61—44no—
860C2×C4×C61—44no—
861C2×C4×C61C2512yes—
862C2×C4×C61C2512yes—
863C2×C4×C61C2512yes—
864C2×C4×C61C2512yes—
865C2×C4×C61C2512yes—
866C2×C4×C61C2512yes—
867C2×C4×C61C2512yes—
868C2×C4×C61C2512yes—
869C2×C4×C61C2512yes—
870C2×C4×C61C2512yes—
871C22⋊D61—28no—
872C22⋊D61—28no—
873C22⋊D61—44no—
874C22⋊D61—44no—
875C22⋊D61—44no—
876C22⋊D61—44no—
877C22⋊D61—44no—
878C22⋊D61—44no—
879C22⋊D61—44no—
880C22⋊D61—44no—
881C22⋊D61—44no—
882C22⋊D61—44no—
883C22⋊D61—44no—
884C22⋊D61—44no—
885C22⋊D61—44no—
886C22⋊D61—44no—
887C2×Dic61—22no—
888C2×Dic61—22no—
889C2×Dic61—22no—
890C2×Dic61—22no—
891C2×Dic61—22no—
892C2×Dic61—22no—
893C2×Dic61—22no—
894C2×Dic61—22no—
895C2×Dic61—22no—
896C2×Dic61—22no—
897C2×Dic61—22no—
898C2×Dic61—28no—
899C2×Dic61—28no—
900C2×Dic61—28no—
901C2×Dic61—44no—
902C2×Dic61—44no—
903C2×Dic61—44no—
904C2×Dic61H(5,𝔽2)14yes—
905C2×Dic61C2512yes—
906C2×Dic61C2512yes—
907C2×Dic61C2512yes—
908C2×Dic61C2512yes—
909C2×Dic61C2512yes—
910C2×Dic61C2512yes—
911C2×Dic61C2512yes—
912C2×Dic61C2512yes—
913C2×Dic61C2512yes—
914C2×Dic61C2512yes—
915C2×Dic61C2512yes—
916C2×Dic61C2512yes—
917D244—44no—
918D244—44no—
919D244—44no—
920D244—44no—
921C4×D61—28no—
922C4×D61—28no—
923C4×D61—44no—
924C4×D61—44no—
925C4×D61—44no—
926C4×D61—44no—
927C4×D61—44no—
928C4×D61—44no—
929Dic122—28no—
930Dic122—28no—
931Dic122—44no—
932Dic122—44no—
933Dic122—44no—
934Dic122—44no—
935Dic122—44no—
936Dic122—44no—
937C2×#3540—611nomaximal, Sylow
938C22×C61—22no—
939C22×C61—22no—
940C22×C61—22no—
941C22×C61—22no—
942C22×C61—22no—
943C22×C61—22no—
944C22×C61—22no—
945C22×C61—22no—
946C22×C61—22no—
947C22×C61—22no—
948C22×C61—22no—
949C22×C61—22no—
950C22×C61—22no—
951C22×C61—22no—
952C22×C61—22no—
953C22×C61—44no—
954C22×C61—44no—
955C22×C61—44no—
956C22×C61—44no—
957C22×C61—44no—
958C22×C61—88no—
959C22×C61C2×H(5,𝔽2)12yes—
960C22×C61#58512yes—
961C22×C61#58512yes—
962C22×C61C2611yescharacteristic
963C2×D61—22no—
964C2×D61—22no—
965C2×D61—22no—
966C2×D61—22no—
967C2×D61—22no—
968C2×D61—22no—
969C2×D61—22no—
970C2×D61—22no—
971C2×D61—22no—
972C2×D61—22no—
973C2×D61—22no—
974C2×D61—22no—
975C2×D61—416no—
976C2×D61—44no—
977C2×D61—44no—
978C2×D61—44no—
979C2×D61—44no—
980C2×D61—88no—
981C4×C61—22no—
982C4×C61—22no—
983C4×C61—22no—
984C4×C61—22no—
985C4×C61—22no—
986C4×C61—22no—
987C4×C61—22no—
988C4×C61—22no—
989C4×C61—22no—
990C4×C61—22no—
991Dic61—22no—
992Dic61—22no—
993Dic61—22no—
994Dic61—22no—
995Dic61—22no—
996Dic61—22no—
997Dic61—22no—
998Dic61—22no—
999Dic61—22no—
1000Dic61—22no—
1001Dic61—22no—
1002Dic61C2×H(5,𝔽2)14yes—
1003#3540—6132no—
1004C2×H(3,𝔽4)—611no—
1005C2×H(3,𝔽4)—611no—
1006C2×#560—611no—
1007C2×#560—611no—
1008C2×#559—611no—
1009C2×#559—611no—
1010C2×#556—611no—
1011C2×#556—611no—
1012C2×#555—611no—
1013C2×#555—611no—
1014C2×#551—611no—
1015C2×#551—611no—
1016C2×#548—611no—
1017C2×#548—611no—
1018C2×#546—611no—
1019C2×#546—611no—
1020C2×#542—611no—
1021C2×#542—611no—
1022C2×#542—611no—
1023C2×#542—611no—
1024C2×#542—611no—
1025C2×#542—611no—
1026C2×#538—611no—
1027C2×#538—611no—
1028C2×#538—611no—
1029C2×#538D6111yescharacteristic, complemented
1030C2×#536—611no—
1031C2×#535—611no—
1032C2×#525—611no—
1033C2×#525—611no—
1034C2×#525—611no—
1035C2×C61—42no—
1036C2×C61—42no—
1037C2×C61—42no—
1038C2×C61—42no—
1039C2×C61—42no—
1040C2×C61#354014yescomplemented
1041C2×C61C22×H(5,𝔽2)11yescharacteristic
1042C2×C61C2×#58511yescharacteristic
1043C2×C61C2×#58511yescharacteristic
1044D61—42no—
1045D61—42no—
1046D61—42no—
1047D61—42no—
1048C22×#41—611no—
1049C22×#41—611no—
1050C22×#41—611no—
1051C23×Q8—611no—
1052C23×D4—611no—
1053C24×C4—611no—
1054H(3,𝔽4)—6116no—
1055H(3,𝔽4)—6116no—
1056#560—6116no—
1057#560—6116no—
1058#559—6116no—
1059#559—6116no—
1060#556—6116no—
1061#556—6116no—
1062#555—6116no—
1063#555—6116no—
1064#551—6116no—
1065#551—6116no—
1066#548—6116no—
1067#548—6116no—
1068#546—6116no—
1069#546—6116no—
1070#542—6116no—
1071#542—6116no—
1072#542—6116no—
1073#542—6116no—
1074#542—6116no—
1075#542—6116no—
1076#538—6116no—
1077#538—6116no—
1078#538—6116no—
1079#538C2×D61116yescomplemented
1080#536—6116no—
1081#535—6116no—
1082C2×C4⋊Q8—611no—
1083C2×C4⋊Q8—611no—
1084C2×C4⋊Q8—611no—
1085C2×C4⋊Q8—611no—
1086C2×#127—611no—
1087C2×#127—611no—
1088C2×#126—611no—
1089C2×#126—611no—
1090C2×#126—611no—
1091C2×#126—611no—
1092C2×#126—611no—
1093C2×#126—611no—
1094C2×#126—611no—
1095C2×#126—611no—
1096C2×#126—611no—
1097C2×#126—611no—
1098C2×#126C2×D6111yescharacteristic, complemented
1099C2×#126C2×D6111yescharacteristic, complemented
1100C2×#124—611no—
1101C2×#124—611no—
1102C2×#124—611no—
1103C2×#124—611no—
1104C2×#124—611no—
1105C2×#124—611no—
1106C2×#124—611no—
1107C2×#124—611no—
1108C2×#124—611no—
1109C2×#124—611no—
1110C2×#124—611no—
1111C2×#124—611no—
1112C2×#124—611no—
1113C2×#124—611no—
1114C2×#124—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
1125C2×#124C2×D6111yescharacteristic, complemented
1126#525—6116no—
1127#525—6116no—
1128#525—6116no—
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×#123—611no—
1142C2×#123—611no—
1143C2×#123—611no—
1144C2×#123—611no—
1145C2×#123C2×D6111yescharacteristic, complemented
1146C2×#123C2×D6111yescharacteristic, complemented
1147C2×C22⋊Q8—611no—
1148C2×C22⋊Q8—611no—
1149C2×C22⋊Q8—611no—
1150C2×C22⋊Q8—611no—
1151C2×C22⋊Q8—611no—
1152C2×C22⋊Q8—611no—
1153C2×C22⋊Q8—611no—
1154C2×C22⋊Q8—611no—
1155C2×C22⋊Q8—611no—
1156C2×C22⋊Q8—611no—
1157C2×C22⋊Q8—611no—
1158C2×C22⋊Q8—611no—
1159C2×C22⋊Q8—611no—
1160C2×C22⋊Q8—611no—
1161C2×C22⋊Q8—611no—
1162C2×C22⋊Q8C2×D6111yescharacteristic, complemented
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—611no—
1173C2×#121—611no—
1174C2×#121—611no—
1175C2×#121—611no—
1176C2×#121—611no—
1177C2×#121—611no—
1178C2×#121—611no—
1179C2×#121—611no—
1180C2×#121C2×D6111yescharacteristic
1181C2×#121C2×D6111yescharacteristic, complemented
1182C2×#121C2×D6111yescharacteristic, complemented
1183C2×#120—611no—
1184C2×#120—611no—
1185C2×#120—611no—
1186C2×#120—611no—
1187C2×#120—611no—
1188C2×#120—611no—
1189C2×#120—611no—
1190C2×#120—611no—
1191C2×#120—611no—
1192C2×#120—611no—
1193C2×#120—611no—
1194C2×#120—611no—
1195C2×#120C2×D6111yescharacteristic
1196C2×#120C2×D6111yescharacteristic, complemented
1197C2×C4×Q8—611no—
1198C2×C4×Q8—611no—
1199C2×C4×Q8—611no—
1200C2×C4×Q8—611no—
1201C2×C4×Q8—611no—
1202C2×C4×Q8—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×D4—611no—
1216C2×C4×D4—611no—
1217C2×C4×D4—611no—
1218C2×C4×D4—611no—
1219C2×C4×D4C2×D6111yescharacteristic, complemented
1220C2×C4×D4C2×D6111yescharacteristic, complemented
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—
1230C22×C22⋊C4—611no—
1231C22×C22⋊C4—611no—
1232C22×C22⋊C4—611no—
1233C22×C22⋊C4C2×D6111yescharacteristic, complemented
1234C61C2×#354011yescharacteristic, complemented, Sylow
1235C25—611no—
1236C25—611no—
1237C25C22×D6111yescharacteristic
1238C2×#41—618no—
1239C2×#41—618no—
1240C2×#41—618no—
1241C2×#41—2444no—
1242C2×#41—2444no—
1243C2×#41—2444no—
1244C22×Q8—611no—
1245C22×Q8—611no—
1246C22×Q8—611no—
1247C22×Q8—611no—
1248C22×Q8—611no—
1249C22×Q8—611no—
1250C22×Q8—611no—
1251C22×Q8—611no—
1252C22×Q8—618no—
1253C22×Q8—2444no—
1254C22×Q8C22×D6111yescharacteristic
1255C22×D4—611no—
1256C22×D4—611no—
1257C22×D4—611no—
1258C22×D4—611no—
1259C22×D4—611no—
1260C22×D4—611no—
1261C22×D4—611no—
1262C22×D4—611no—
1263C22×D4—611no—
1264C22×D4—611no—
1265C22×D4—611no—
1266C22×D4—611no—
1267C22×D4—611no—
1268C22×D4—611no—
1269C22×D4—611no—
1270C22×D4—611no—
1271C22×D4—618no—
1272C22×D4—611no—
1273C22×D4—611no—
1274C22×D4—611no—
1275C22×D4—611no—
1276C22×D4—2444no—
1277C22×D4C22×D6111yescharacteristic
1278C22×D4C22×D6111yescharacteristic
1279C22×D4C22×D6111yescharacteristic
1280C22×D4C22×D6111yescharacteristic
1281C22×D4C22×D6111yescharacteristic
1282C22×D4C22×D6111yescharacteristic
1283C22×D4C22×D6111yescharacteristic
1284C23×C4—611no—
1285C23×C4—611no—
1286C23×C4—611no—
1287C23×C4—611no—
1288C23×C4—611no—
1289C23×C4—611no—
1290C23×C4—611no—
1291C23×C4—611no—
1292C23×C4—611no—
1293C23×C4—611no—
1294C23×C4—611no—
1295C23×C4—611no—
1296C23×C4—611no—
1297C23×C4—611no—
1298C23×C4—618no—
1299C23×C4—2444no—
1300C23×C4C22×D6111yescharacteristic
1301C23×C4C22×D6111yescharacteristic
1302C23×C4C22×D6111yescharacteristic
1303C23×C4C22×D6111yescharacteristic
1304C4⋊Q8—618no—
1305C4⋊Q8—618no—
1306C4⋊Q8—618no—
1307C4⋊Q8—618no—
1308#127—618no—
1309#127—618no—
1310#126—618no—
1311#126—618no—
1312#126—618no—
1313#126—618no—
1314#126—618no—
1315#126—618no—
1316#126—618no—
1317#126—618no—
1318#126—618no—
1319#126—618no—
1320#126C22×D6118yescomplemented
1321#126C22×D6118yescomplemented
1322#124—618no—
1323#124—618no—
1324#124—618no—
1325#124—618no—
1326#124—618no—
1327#124—618no—
1328#124—618no—
1329#124—618no—
1330#124—618no—
1331#124—618no—
1332#124—618no—
1333#124—618no—
1334#124—618no—
1335#124—618no—
1336#124—618no—
1337#124—618no—
1338#124—618no—
1339#124—618no—
1340#124—618no—
1341#124—618no—
1342#124—618no—
1343#124—618no—
1344#124—618no—
1345#124—618no—
1346#124C22×D6118yes—
1347#124C22×D6118yescomplemented
1348#123—618no—
1349#123—618no—
1350#123—618no—
1351#123—618no—
1352#123—618no—
1353#123—618no—
1354#123—618no—
1355#123—618no—
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#123C22×D6118yescomplemented
1365#123C22×D6118yescomplemented
1366C22⋊Q8—618no—
1367C22⋊Q8—618no—
1368C22⋊Q8—618no—
1369C22⋊Q8—618no—
1370C22⋊Q8—618no—
1371C22⋊Q8—618no—
1372C22⋊Q8—618no—
1373C22⋊Q8—618no—
1374C22⋊Q8—618no—
1375C22⋊Q8—618no—
1376C22⋊Q8—618no—
1377C22⋊Q8—618no—
1378C22⋊Q8—618no—
1379C22⋊Q8—618no—
1380C22⋊Q8—618no—
1381C22⋊Q8C22×D6118yescomplemented
1382#121—618no—
1383#121—618no—
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#121C22×D6118yes—
1400#121C22×D6118yescomplemented
1401#121C22×D6118yescomplemented
1402#120—618no—
1403#120—618no—
1404#120—618no—
1405#120—618no—
1406#120—618no—
1407#120—618no—
1408#120—618no—
1409#120—618no—
1410#120—618no—
1411#120—618no—
1412#120—618no—
1413#120—618no—
1414#120C22×D6118yes—
1415#120C22×D6118yescomplemented
1416C4×Q8—618no—
1417C4×Q8—618no—
1418C4×Q8—618no—
1419C4×Q8—618no—
1420C4×Q8—618no—
1421C4×Q8—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×D4C22×D6118yescomplemented
1439C4×D4C22×D6118yescomplemented
1440#117—618no—
1441#117—618no—
1442#117—618no—
1443#117—618no—
1444#117—618no—
1445#117—618no—
1446#117—618no—
1447#117—618no—
1448#117—618no—
1449C2×C4⋊C4—611no—
1450C2×C4⋊C4—611no—
1451C2×C4⋊C4—611no—
1452C2×C4⋊C4—611no—
1453C2×C4⋊C4—611no—
1454C2×C4⋊C4—611no—
1455C2×C4⋊C4—611no—
1456C2×C4⋊C4—611no—
1457C2×C4⋊C4—611no—
1458C2×C4⋊C4—611no—
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—611no—
1473C2×C4⋊C4C22×D6111yescharacteristic
1474C2×C4⋊C4C22×D6111yescharacteristic
1475C2×C4⋊C4C22×D6111yescharacteristic
1476C2×C4⋊C4C22×D6111yescharacteristic
1477C2×C4⋊C4C22×D6111yescharacteristic
1478C2×C4⋊C4C22×D6111yescharacteristic
1479C2×C22⋊C4—611no—
1480C2×C22⋊C4—611no—
1481C2×C22⋊C4—611no—
1482C2×C22⋊C4—611no—
1483C2×C22⋊C4—611no—
1484C2×C22⋊C4—618no—
1485C2×C22⋊C4—611no—
1486C2×C22⋊C4—611no—
1487C2×C22⋊C4—611no—
1488C2×C22⋊C4—611no—
1489C2×C22⋊C4—611no—
1490C2×C22⋊C4—611no—
1491C2×C22⋊C4—611no—
1492C2×C22⋊C4—611no—
1493C2×C22⋊C4—611no—
1494C2×C22⋊C4—611no—
1495C2×C22⋊C4—611no—
1496C2×C22⋊C4—611no—
1497C2×C22⋊C4—611no—
1498C2×C22⋊C4—611no—
1499C2×C22⋊C4—611no—
1500C2×C22⋊C4—611no—
1501C2×C22⋊C4—611no—
1502C2×C22⋊C4—611no—
1503C2×C22⋊C4—611no—
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—611no—
1520C2×C22⋊C4—618no—
1521C2×C22⋊C4—618no—
1522C2×C22⋊C4C22×D6111yescharacteristic
1523C2×C22⋊C4C22×D6111yescharacteristic
1524C2×C22⋊C4C22×D6111yescharacteristic
1525C2×C22⋊C4C22×D6111yescharacteristic
1526C2×C22⋊C4C22×D6111yescharacteristic
1527C2×C22⋊C4C22×D6111yescharacteristic
1528C2×C22⋊C4C22×D6111yescharacteristic
1529C2×C22⋊C4C22×D6111yescharacteristic
1530C2×C22⋊C4C22×D6111yescharacteristic
1531C2×C22⋊C4C22×D6111yescharacteristic
1532C2×C22⋊C4C22×D6111yescharacteristic
1533C2×C22⋊C4C22×D6111yescharacteristic
1534C2×C22⋊C4C22×D6111yescharacteristic
1535C2×C22⋊C4C22×D6111yescharacteristic
1536C2×C22⋊C4C22×D6118yescomplemented
1537C2×C42—611no—
1538C2×C42—611no—
1539C2×C42—611no—
1540C2×C42—611no—
1541C2×C42—611no—
1542C2×C42—611no—
1543C2×C42—611no—
1544C2×C42—611no—
1545C2×C42—611no—
1546C2×C42—611no—
1547C2×C42—611no—
1548C2×C42—611no—
1549C2×C42C22×D6111yescharacteristic
1550C2×C42C22×D6111yescharacteristic
1551C24—42no—
1552C24—42no—
1553C24—42no—
1554C24—611no—
1555C24—611no—
1556C24—611no—
1557C24—611no—
1558C24—614no—
1559C24—614no—
1560C24—2442no—
1561C24—2442no—
1562C24—2442no—
1563C24—2442no—
1564C24—2442no—
1565C24—2442no—
1566C24C23×D6111yescharacteristic
1567C24C23×D6111yescharacteristic
1568C24C23×D6111yescharacteristic
1569C24C23×D6111yescharacteristic
1570C24C23×D6111yescharacteristic
1571C24C23×D6114yes—
1572#41—24416no—
1573#41—24416no—
1574#41—24416no—
1575C2×Q8—42no—
1576C2×Q8—614no—
1577C2×Q8—614no—
1578C2×Q8—614no—
1579C2×Q8—614no—
1580C2×Q8—614no—
1581C2×Q8—614no—
1582C2×Q8—614no—
1583C2×Q8—614no—
1584C2×Q8—1224no—
1585C2×Q8—1224no—
1586C2×Q8—2442no—
1587C2×Q8—2442no—
1588C2×Q8—2442no—
1589C2×Q8—2442no—
1590C2×Q8—2442no—
1591C2×Q8—2442no—
1592C2×Q8—24416no—
1593C2×Q8C23×D6114yes—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—614no—
1602C2×D4—614no—
1603C2×D4—614no—
1604C2×D4—614no—
1605C2×D4—614no—
1606C2×D4—614no—
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—1224no—
1622C2×D4—1224no—
1623C2×D4—2442no—
1624C2×D4—2442no—
1625C2×D4—2442no—
1626C2×D4—2442no—
1627C2×D4—24416no—
1628C2×D4—2442no—
1629C2×D4—2442no—
1630C2×D4—2442no—
1631C2×D4—2442no—
1632C2×D4—2442no—
1633C2×D4—2442no—
1634C2×D4—2442no—
1635C2×D4—2442no—
1636C2×D4—2442no—
1637C2×D4—2442no—
1638C2×D4—2442no—
1639C2×D4—2442no—
1640C2×D4—2442no—
1641C2×D4—2442no—
1642C2×D4C23×D6114yes—
1643C2×D4C23×D6114yes—
1644C2×D4C23×D6114yes—
1645C2×D4C23×D6114yes—
1646C2×D4C23×D6114yes—
1647C2×D4C23×D6114yes—
1648C2×D4C23×D6114yes—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—611no—
1654C22×C4—614no—
1655C22×C4—614no—
1656C22×C4—614no—
1657C22×C4—611no—
1658C22×C4—611no—
1659C22×C4—611no—
1660C22×C4—611no—
1661C22×C4—611no—
1662C22×C4—611no—
1663C22×C4—611no—
1664C22×C4—611no—
1665C22×C4—611no—
1666C22×C4—611no—
1667C22×C4—611no—
1668C22×C4—614no—
1669C22×C4—614no—
1670C22×C4—614no—
1671C22×C4—614no—
1672C22×C4—614no—
1673C22×C4—614no—
1674C22×C4—614no—
1675C22×C4—614no—
1676C22×C4—614no—
1677C22×C4—614no—
1678C22×C4—614no—
1679C22×C4—1224no—
1680C22×C4—1224no—
1681C22×C4—1224no—
1682C22×C4—1224no—
1683C22×C4—1224no—
1684C22×C4—2442no—
1685C22×C4—2442no—
1686C22×C4—2442no—
1687C22×C4—2442no—
1688C22×C4—2442no—
1689C22×C4—2442no—
1690C22×C4—24416no—
1691C22×C4—2442no—
1692C22×C4—2442no—
1693C22×C4—2442no—
1694C22×C4C23×D6111yescharacteristic
1695C22×C4C23×D6111yescharacteristic
1696C22×C4C23×D6111yescharacteristic
1697C22×C4C23×D6111yescharacteristic
1698C22×C4C23×D6111yescharacteristic
1699C22×C4C23×D6111yescharacteristic
1700C22×C4C23×D6111yescharacteristic
1701C22×C4C23×D6111yescharacteristic
1702C22×C4C23×D6111yescharacteristic
1703C22×C4C23×D6111yescharacteristic
1704C22×C4C23×D6114yes—
1705C22×C4C23×D6114yes—
1706C22×C4C23×D6114yes—
1707C22×C4C23×D6114yes—
1708C4⋊C4—614no—
1709C4⋊C4—614no—
1710C4⋊C4—614no—
1711C4⋊C4—614no—
1712C4⋊C4—614no—
1713C4⋊C4—614no—
1714C4⋊C4—614no—
1715C4⋊C4—614no—
1716C4⋊C4—614no—
1717C4⋊C4—614no—
1718C4⋊C4—614no—
1719C4⋊C4—614no—
1720C4⋊C4—614no—
1721C4⋊C4—614no—
1722C4⋊C4—614no—
1723C4⋊C4—614no—
1724C4⋊C4—614no—
1725C4⋊C4—614no—
1726C4⋊C4—614no—
1727C4⋊C4—614no—
1728C4⋊C4—614no—
1729C4⋊C4—614no—
1730C4⋊C4—614no—
1731C4⋊C4—614no—
1732C4⋊C4C23×D6114yes—
1733C4⋊C4C23×D6114yes—
1734C4⋊C4C23×D6114yes—
1735C4⋊C4C23×D6114yes—
1736C4⋊C4C23×D6114yes—
1737C4⋊C4C23×D6114yes—
1738C22⋊C4—614no—
1739C22⋊C4—614no—
1740C22⋊C4—614no—
1741C22⋊C4—614no—
1742C22⋊C4—614no—
1743C22⋊C4—614no—
1744C22⋊C4—614no—
1745C22⋊C4—614no—
1746C22⋊C4—614no—
1747C22⋊C4—614no—
1748C22⋊C4—614no—
1749C22⋊C4—614no—
1750C22⋊C4—614no—
1751C22⋊C4—614no—
1752C22⋊C4—614no—
1753C22⋊C4—614no—
1754C22⋊C4—614no—
1755C22⋊C4—614no—
1756C22⋊C4—614no—
1757C22⋊C4—614no—
1758C22⋊C4—614no—
1759C22⋊C4—614no—
1760C22⋊C4—614no—
1761C22⋊C4—614no—
1762C22⋊C4—614no—
1763C22⋊C4—614no—
1764C22⋊C4—614no—
1765C22⋊C4—614no—
1766C22⋊C4—614no—
1767C22⋊C4—614no—
1768C22⋊C4—614no—
1769C22⋊C4—614no—
1770C22⋊C4—614no—
1771C22⋊C4—614no—
1772C22⋊C4—614no—
1773C22⋊C4—614no—
1774C22⋊C4—614no—
1775C22⋊C4—614no—
1776C22⋊C4—614no—
1777C22⋊C4—614no—
1778C22⋊C4C23×D6114yes—
1779C22⋊C4C23×D6114yes—
1780C22⋊C4C23×D6114yes—
1781C22⋊C4C23×D6114yes—
1782C22⋊C4C23×D6114yes—
1783C22⋊C4C23×D6114yes—
1784C22⋊C4C23×D6114yes—
1785C22⋊C4C23×D6114yes—
1786C22⋊C4C23×D6114yes—
1787C22⋊C4C23×D6114yes—
1788C22⋊C4C23×D6114yes—
1789C22⋊C4C23×D6114yes—
1790C22⋊C4C23×D6114yes—
1791C22⋊C4C23×D6114yes—
1792C42—614no—
1793C42—614no—
1794C42—614no—
1795C42—614no—
1796C42—614no—
1797C42—614no—
1798C42—614no—
1799C42—614no—
1800C42—614no—
1801C42—614no—
1802C42—614no—
1803C42—614no—
1804C42C23×D6114yes—
1805C42C23×D6114yes—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—44no—
1822C23—44no—
1823C23—44no—
1824C23—88no—
1825C23—612no—
1826C23—612no—
1827C23—612no—
1828C23—612no—
1829C23—1222no—
1830C23—1222no—
1831C23—1222no—
1832C23—1222no—
1833C23—1222no—
1834C23—1222no—
1835C23—1222no—
1836C23—1222no—
1837C23—1222no—
1838C23—1222no—
1839C23—1222no—
1840C23—1222no—
1841C23—4888no—
1842C23—2444no—
1843C23—2444no—
1844C23—2444no—
1845C23—2444no—
1846C23—2444no—
1847C23—2444no—
1848C23—24416no—
1849C23C24×D6112yes—
1850C23C24×D6112yes—
1851C23C24×D6112yes—
1852C23C24×D6112yes—
1853C23C24×D6112yes—
1854C23C24×D6111yescharacteristic
1855Q8—44no—
1856Q8—1228no—
1857Q8—1228no—
1858Q8—2444no—
1859Q8—2444no—
1860Q8—2444no—
1861Q8—2444no—
1862Q8—2444no—
1863Q8—2444no—
1864D4—44no—
1865D4—44no—
1866D4—44no—
1867D4—44no—
1868D4—44no—
1869D4—44no—
1870D4—44no—
1871D4—1228no—
1872D4—1228no—
1873D4—2444no—
1874D4—2444no—
1875D4—2444no—
1876D4—2444no—
1877D4—2444no—
1878D4—2444no—
1879D4—2444no—
1880D4—2444no—
1881D4—2444no—
1882D4—2444no—
1883D4—2444no—
1884D4—2444no—
1885D4—2444no—
1886D4—2444no—
1887D4—2444no—
1888D4—2444no—
1889D4—2444no—
1890D4—2444no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—44no—
1902C2×C4—44no—
1903C2×C4—44no—
1904C2×C4—44no—
1905C2×C4—614no—
1906C2×C4—612no—
1907C2×C4—612no—
1908C2×C4—612no—
1909C2×C4—612no—
1910C2×C4—612no—
1911C2×C4—612no—
1912C2×C4—612no—
1913C2×C4—612no—
1914C2×C4—612no—
1915C2×C4—612no—
1916C2×C4—612no—
1917C2×C4—612no—
1918C2×C4—1228no—
1919C2×C4—1228no—
1920C2×C4—1228no—
1921C2×C4—1228no—
1922C2×C4—1228no—
1923C2×C4—1222no—
1924C2×C4—1222no—
1925C2×C4—1222no—
1926C2×C4—1222no—
1927C2×C4—1222no—
1928C2×C4—1222no—
1929C2×C4—1222no—
1930C2×C4—1222no—
1931C2×C4—1222no—
1932C2×C4—1222no—
1933C2×C4—1222no—
1934C2×C4—2444no—
1935C2×C4—2444no—
1936C2×C4—2444no—
1937C2×C4—2444no—
1938C2×C4—2444no—
1939C2×C4—2444no—
1940C2×C4—2444no—
1941C2×C4—2444no—
1942C2×C4—2444no—
1943C2×C4C24×D6112yes—
1944C2×C4C24×D6112yes—
1945C2×C4C24×D6112yes—
1946C2×C4C24×D6112yes—
1947C2×C4C24×D6112yes—
1948C2×C4C24×D6112yes—
1949C2×C4C24×D6112yes—
1950C2×C4C24×D6112yes—
1951C2×C4C24×D6112yes—
1952C2×C4C24×D6112yes—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—22no—
1963C22—22no—
1964C22—22no—
1965C22—22no—
1966C22—22no—
1967C22—22no—
1968C22—44no—
1969C22—44no—
1970C22—44no—
1971C22—44no—
1972C22—44no—
1973C22—88no—
1974C22—1222no—
1975C22—1222no—
1976C22—1222no—
1977C22—1222no—
1978C22—1222no—
1979C22—1222no—
1980C22—1222no—
1981C22—1222no—
1982C22—1222no—
1983C22—1222no—
1984C22—1222no—
1985C22—1222no—
1986C22—4888no—
1987C22—24416no—
1988C22—2444no—
1989C22—2444no—
1990C22—2444no—
1991C22—2444no—
1992C22H(5,𝔽2)×D6112yes—
1993C22#1684059712yes—
1994C22#1684059812yes—
1995C22C25×D6111yescharacteristic
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—614no—
2007C4—1222no—
2008C4—1222no—
2009C4—1222no—
2010C4—1222no—
2011C4—1222no—
2012C4—1222no—
2013C4—1222no—
2014C4—1222no—
2015C4—1222no—
2016C4—1222no—
2017C4—1222no—
2018C2—42no—
2019C2—42no—
2020C2—42no—
2021C2—42no—
2022C2—42no—
2023C2—2442no—
2024C2—2442no—
2025C2—2442no—
2026C2—2442no—
2027C2#2146009014yesdirect product factor
2028C2C2×H(5,𝔽2)×D6111yescharacteristic
2029C2C2×#1684059711yescharacteristic
2030C2C2×#1684059811yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#538C2
socleC23×C61C25
hypercenterC2×#538D61
hypocenterC61C2×#3540
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. #21460090C2direct (N × H)
2. C2×#16840505C2semidirect
3. C2×#16840504C2semidirect
4. C2×#16840500C2semidirect
5. C2×#16840500C2semidirect
6. C2×#16840495C2semidirect
7. C2×#16840494C2semidirect
8. C2×#16840481C2semidirect
9. C2×#16840479C2semidirect
10. C2×#16840476C2semidirect
11. C2×#16840474C2semidirect
12. C2×#16840438C2semidirect
13. C2×#16840437C2semidirect
14. C2×#16840421C2semidirect
15. C2×#16840418C2semidirect
16. C2×#16840402C2semidirect
17. C2×#16840399C2semidirect
18. C2×#16840385C2semidirect
19. C2×#16840382C2semidirect
20. C2×#16840380C2semidirect
21. C2×#16840378C2semidirect
22. C2×#16840378C2semidirect
23. C2×#16840377C2semidirect
24. C2×#16840348C2semidirect
25. C2×#16840347C2semidirect
26. C2×#16840344C2semidirect
27. C2×#16840334C2semidirect
28. C2×#16840327C2semidirect
29. C2×#16840272C2semidirect
30. C2×#16840271C2semidirect
31. C2×#16840270C2semidirect
32. C2×C61×#538C2semidirect
36. C23×Dic122C22semidirect
37. C23×C22⋊D61C22semidirect
38. C23×C4×D61C22semidirect
39. #16840505C22semidirect
40. #16840504C22semidirect
41. #16840500C22semidirect
42. #16840500C22semidirect
43. #16840495C22semidirect
44. #16840494C22semidirect
45. #16840481C22semidirect
46. #16840479C22semidirect
47. #16840476C22semidirect
48. #16840474C22semidirect
49. #16840438C22semidirect
50. #16840437C22semidirect
51. #16840421C22semidirect
52. #16840418C22semidirect
53. #16840402C22semidirect
54. #16840399C22semidirect
55. #16840385C22semidirect
56. #16840382C22semidirect
57. #16840380C22semidirect
58. #16840378C22semidirect
59. #16840378C22semidirect
60. #16840377C22semidirect
61. #16840348C22semidirect
62. #16840347C22semidirect
63. #16840344C22semidirect
64. #16840334C22semidirect
65. #16840327C22semidirect
66. C2×#14519776C22semidirect
67. C2×#14519776C22semidirect
68. C2×#14519776C22semidirect
69. C2×#14519775C22semidirect
72. C2×#14519772C22semidirect
73. C2×#14519772C22semidirect
74. C2×#14519772C22semidirect
75. C2×#14519772C22semidirect
76. C2×#14519770C22semidirect
77. C2×#14519770C22semidirect
78. C2×#14519770C22semidirect
79. C2×#14519770C22semidirect
80. C2×#14519770C22semidirect
81. C2×#14519770C22semidirect
82. C2×#14519766C22semidirect
83. C2×#14519766C22semidirect
84. C2×#14519765C22semidirect
85. C2×#14519765C22semidirect
87. C2×#14519764C22semidirect
88. C2×#14519764C22semidirect
89. C2×#14519764C22semidirect
94. C2×#14519763C22semidirect
95. C2×#14519763C22semidirect
96. C2×#14519763C22semidirect
97. C2×#14519763C22semidirect
98. C2×#14519763C22semidirect
99. C2×#14519763C22semidirect
100. C2×#14519763C22semidirect
101. C2×#14519763C22semidirect
102. C2×#14519763C22semidirect
103. C2×#14519763C22semidirect
104. C2×#14519763C22semidirect
105. C2×#14519763C22semidirect
106. #16840272C22semidirect
107. #16840271C22semidirect
108. #16840270C22semidirect
109. C2×#14519762C22semidirect
110. C2×#14519762C22semidirect
111. C2×#14519762C22semidirect
112. C2×#14519761C22semidirect
113. C2×#14519761C22semidirect
114. C2×#14519761C22semidirect
115. C2×#14519760C22semidirect
116. C2×#14519760C22semidirect
117. C2×#14519760C22semidirect
118. C2×#14519760C22semidirect
120. C2×#14519759C22semidirect
121. C2×#14519759C22semidirect
122. C2×#14519759C22semidirect
123. C2×#14519759C22semidirect
124. C2×#14519758C22semidirect
125. C2×#14519757C22semidirect
126. C2×#14519757C22semidirect
127. C2×#14519757C22semidirect
128. C2×#14519756C22semidirect
129. C2×#14519756C22semidirect
130. C2×#14519755C22semidirect
131. C2×#14519755C22semidirect
132. C2×#14519755C22semidirect
133. C2×#14519755C22semidirect
134. C2×#14519755C22semidirect
135. C2×#14519754C22semidirect
136. C2×#14519754C22semidirect
137. C2×#14519754C22semidirect
138. C2×#14519754C22semidirect
139. C2×#14519754C22semidirect
141. C2×#14519751C22semidirect
146. C2×#14519750C22semidirect
149. C2×#14519749C22semidirect
150. C2×#14519749C22semidirect
151. C2×#14519749C22semidirect
152. C2×#14519749C22semidirect
153. C2×#14519749C22semidirect
156. C2×#14519748C22semidirect
159. C2×#14519747C22semidirect
160. C2×#14519747C22semidirect
165. C2×#14519745C22semidirect
166. C2×#14519745C22semidirect
167. C2×#14519745C22semidirect
168. C2×#14519745C22semidirect
169. C2×Q8×Dic61C22semidirect
170. C2×C4×Dic122C22semidirect
171. C2×C4×Dic122C22semidirect
172. C2×C4×Dic122C22semidirect
173. C2×#14519742C22semidirect
174. C2×#14519742C22semidirect
175. C2×C4×D244C22semidirect
177. C2×D4×Dic61C22semidirect
178. C2×D4×Dic61C22semidirect
179. C2×#14519739C22semidirect
180. C2×#14519739C22semidirect
181. C2×C4×C22⋊D61C22semidirect
182. C2×C4×C22⋊D61C22semidirect
183. C2×C4×C22⋊D61C22semidirect
184. C2×C4×C22⋊D61C22semidirect
186. C2×#14519737C22semidirect
187. C2×#14519737C22semidirect
188. C2×#14519737C22semidirect
189. C2×#14519737C22semidirect
190. C2×#14519737C22semidirect
191. C2×#14519736C22semidirect
192. C2×#14519735C22semidirect
193. C2×#14519735C22semidirect
194. C2×#14519734C22semidirect
195. C2×#14519734C22semidirect
196. C2×#14519733C22semidirect
197. C2×#14519733C22semidirect
198. C2×#14519733C22semidirect
199. C2×#14519733C22semidirect
200. C22×C22⋊Dic61C22semidirect
201. C2×C22⋊C4×D61C22semidirect
202. C2×C22⋊C4×D61C22semidirect
203. C61×#538C22semidirect
204. C2×#126×C61C22semidirect
205. C2×#126×C61C22semidirect
207. C2×#124×C61C22semidirect
208. C2×#123×C61C22semidirect
209. C2×#123×C61C22semidirect
210. C2×C22⋊Q8×C61C22semidirect
212. C2×#121×C61C22semidirect
213. C2×#121×C61C22semidirect
215. C2×#120×C61C22semidirect
216. C2×C4×D4×C61C22semidirect
217. C2×C4×D4×C61C22semidirect
218. C22×C22⋊C4×C61C22semidirect
236. C22×Dic122C23semidirect
258. C22×C22⋊D61C23semidirect
274. C22×C4×D61C23semidirect
275. #14519776C23semidirect
276. #14519776C23semidirect
277. #14519776C23semidirect
278. #14519775C23semidirect
281. #14519772C23semidirect
282. #14519772C23semidirect
283. #14519772C23semidirect
284. #14519772C23semidirect
285. #14519770C23semidirect
286. #14519770C23semidirect
287. #14519770C23semidirect
288. #14519770C23semidirect
289. #14519770C23semidirect
290. #14519770C23semidirect
291. #14519766C23semidirect
292. #14519766C23semidirect
293. #14519765C23semidirect
294. #14519765C23semidirect
296. #14519764C23semidirect
297. #14519764C23semidirect
298. #14519764C23semidirect
303. #14519763C23semidirect
304. #14519763C23semidirect
305. #14519763C23semidirect
306. #14519763C23semidirect
307. #14519763C23semidirect
308. #14519763C23semidirect
309. #14519763C23semidirect
310. #14519763C23semidirect
311. #14519763C23semidirect
312. #14519763C23semidirect
313. #14519763C23semidirect
314. #14519763C23semidirect
315. #14519762C23semidirect
316. #14519762C23semidirect
317. #14519762C23semidirect
318. #14519761C23semidirect
319. #14519761C23semidirect
320. #14519761C23semidirect
321. #14519760C23semidirect
322. #14519760C23semidirect
323. #14519760C23semidirect
324. #14519760C23semidirect
326. #14519759C23semidirect
327. #14519759C23semidirect
328. #14519759C23semidirect
329. #14519759C23semidirect
330. #14519758C23semidirect
331. #14519757C23semidirect
332. #14519757C23semidirect
333. #14519757C23semidirect
334. #14519756C23semidirect
335. #14519756C23semidirect
336. #14519755C23semidirect
337. #14519755C23semidirect
338. #14519755C23semidirect
339. #14519755C23semidirect
340. #14519755C23semidirect
341. #14519754C23semidirect
342. #14519754C23semidirect
343. #14519754C23semidirect
344. #14519754C23semidirect
345. #14519754C23semidirect
347. #14519751C23semidirect
352. #14519750C23semidirect
355. #14519749C23semidirect
356. #14519749C23semidirect
357. #14519749C23semidirect
358. #14519749C23semidirect
359. #14519749C23semidirect
362. #14519748C23semidirect
365. #14519747C23semidirect
366. #14519747C23semidirect
371. #14519745C23semidirect
372. #14519745C23semidirect
373. #14519745C23semidirect
374. #14519745C23semidirect
375. Q8×Dic61C23semidirect
376. C4×Dic122C23semidirect
377. C4×Dic122C23semidirect
378. C4×Dic122C23semidirect
379. #14519742C23semidirect
380. #14519742C23semidirect
381. C4×D244C23semidirect
383. D4×Dic61C23semidirect
384. D4×Dic61C23semidirect
385. #14519739C23semidirect
386. #14519739C23semidirect
387. C4×C22⋊D61C23semidirect
388. C4×C22⋊D61C23semidirect
389. C4×C22⋊D61C23semidirect
390. C4×C22⋊D61C23semidirect
392. #14519737C23semidirect
393. #14519737C23semidirect
394. #14519737C23semidirect
395. #14519737C23semidirect
396. #14519737C23semidirect
397. #14519736C23semidirect
398. #14519735C23semidirect
399. #14519735C23semidirect
400. #14519734C23semidirect
401. #14519734C23semidirect
402. #14519733C23semidirect
403. #14519733C23semidirect
404. #14519733C23semidirect
405. #14519733C23semidirect
446. C2×C22⋊Dic61C23semidirect
471. C22⋊C4×D61C23semidirect
472. C22⋊C4×D61C23semidirect
498. #126×C61C23semidirect
499. #126×C61C23semidirect
501. #124×C61C23semidirect
502. #123×C61C23semidirect
503. #123×C61C23semidirect
504. C22⋊Q8×C61C23semidirect
506. #121×C61C23semidirect
507. #121×C61C23semidirect
509. #120×C61C23semidirect
510. C4×D4×C61C23semidirect
511. C4×D4×C61C23semidirect
532. C2×C22⋊C4×C61C23semidirect
1029. C2×#538D61semidirect
1040. C2×C61#3540semidirect
1079. #538C2×D61semidirect
1098. C2×#126C2×D61semidirect
1099. C2×#126C2×D61semidirect
1125. C2×#124C2×D61semidirect
1145. C2×#123C2×D61semidirect
1146. C2×#123C2×D61semidirect
1162. C2×C22⋊Q8C2×D61semidirect
1181. C2×#121C2×D61semidirect
1182. C2×#121C2×D61semidirect
1196. C2×#120C2×D61semidirect
1219. C2×C4×D4C2×D61semidirect
1220. C2×C4×D4C2×D61semidirect
1233. C22×C22⋊C4C2×D61semidirect
1234. C61C2×#3540semidirect
1320. #126C22×D61semidirect
1321. #126C22×D61semidirect
1347. #124C22×D61semidirect
1364. #123C22×D61semidirect
1365. #123C22×D61semidirect
1381. C22⋊Q8C22×D61semidirect
1400. #121C22×D61semidirect
1401. #121C22×D61semidirect
1415. #120C22×D61semidirect
1438. C4×D4C22×D61semidirect
1439. C4×D4C22×D61semidirect
1536. C2×C22⋊C4C22×D61semidirect
2027. C2#21460090direct (N × H)

Maximal subgroups

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

subgroupindex
#214600902
C2×#168405052
C2×#168405042
C2×#168405002
C2×#168404952
C2×#168404942
C2×#168404812
C2×#168404792
C2×#168404762
C2×#168404742
C2×#168404382
C2×#168404372
C2×#168404212
C2×#168404182
C2×#168404022
C2×#168403992
C2×#168403852
C2×#168403822
C2×#168403802
C2×#168403782
C2×#168403772
C2×#168403482
C2×#168403472
C2×#168403442
C2×#168403342
C2×#168403272
C2×#168402722
C2×#168402712
C2×#168402702
C2×C61×#5382
C2×#354061