Finite Group Databasebeta

← C2×#21459860 #30588022

Subgroups — C2×#21459860 #30588022

Order 15616.

7910 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459860C2132yesmaximal, direct product factor
2C2×#16840479C211yesmaximal, characteristic, complemented
3C2×#16840468C211yesmaximal, characteristic, complemented
4C2×#16840466C211yesmaximal, characteristic, complemented
5C2×#16840449C211yesmaximal, characteristic, complemented
6C2×#16840444C211yesmaximal, characteristic, complemented
7C2×#16840440C211yesmaximal, characteristic, complemented
8C2×#16840439C211yesmaximal, characteristic, complemented
9C2×#16840437C211yesmaximal, characteristic, complemented
10C2×#16840435C211yesmaximal, characteristic, complemented
11C2×#16840425C211yesmaximal, characteristic, complemented
12C2×#16840422C211yesmaximal, characteristic, complemented
13C2×#16840418C211yesmaximal, characteristic, complemented
14C2×#16840410C211yesmaximal, characteristic, complemented
15C2×#16840410C211yesmaximal, characteristic, complemented
16C2×#16840404C211yesmaximal, characteristic, complemented
17C2×#16840401C211yesmaximal, characteristic, complemented
18C2×#16840382C211yesmaximal, characteristic, complemented
19C2×#16840380C211yesmaximal, characteristic, complemented
20C2×#16840360C211yesmaximal, characteristic, complemented
21C2×#16840354C211yesmaximal, characteristic, complemented
22C2×#16840353C211yesmaximal, characteristic, complemented
23C2×#16840318C211yesmaximal, characteristic, complemented
24C2×#16840295C211yesmaximal, characteristic, complemented
25C2×#16840271C211yesmaximal, characteristic, complemented
26C2×#16840270C211yesmaximal, characteristic, complemented
27C22×#14519755C211yesmaximal, characteristic, complemented
28C2×C22⋊Q8×D61C211yesmaximal, characteristic, complemented
29C2×#16840243C211yesmaximal, characteristic, complemented
30C2×#16840241C211yesmaximal, characteristic, complemented
31C2×C4×D4×D61C211yesmaximal, characteristic, complemented
32C2×C61×#539C211yesmaximal, characteristic, complemented
33C22×#11758222C2211yescharacteristic
34C22×#11758222C2211yescharacteristic, complemented
35C22×#11758224C2211yescharacteristic
36C22×#11758224C2211yescharacteristic, complemented
37C23×Dic122C2211yescharacteristic, complemented
38C22×Q8×D61C2211yescharacteristic, complemented
39C22×D4×D61C2211yescharacteristic
40C23×C4×D61C2211yescharacteristic
41C23×C4×D61C2211yescharacteristic
42#16840479C22116yescomplemented
43#16840468C22116yescomplemented
44#16840466C22116yescomplemented
45#16840449C22116yescomplemented
46#16840444C22116yescomplemented
47#16840440C22116yescomplemented
48#16840439C22116yescomplemented
49#16840437C22116yescomplemented
50#16840435C22116yescomplemented
51#16840425C22116yescomplemented
52#16840422C22116yescomplemented
53#16840418C22116yescomplemented
54#16840410C22116yescomplemented
55#16840410C22116yescomplemented
56#16840404C22116yescomplemented
57#16840401C22116yescomplemented
58#16840382C22116yescomplemented
59#16840380C22116yescomplemented
60#16840360C22116yescomplemented
61#16840354C22116yescomplemented
62#16840353C22116yescomplemented
63#16840318C22116yescomplemented
64C2×#14519776C2211yescharacteristic, complemented
65C2×#14519776C2211yescharacteristic, complemented
66C2×#14519776C2211yescharacteristic, complemented
67C2×#14519775C2211yescharacteristic, complemented
68#16840295C22116yescomplemented
69C2×#14519772C2211yescharacteristic, complemented
70C2×#14519772C2211yescharacteristic, complemented
71C2×#14519772C2211yescharacteristic, complemented
72C2×#14519772C2211yescharacteristic, complemented
73C2×#14519771C2211yescharacteristic, complemented
74C2×#14519770C2211yescharacteristic, complemented
75C2×#14519770C2211yescharacteristic, complemented
76C2×#14519770C2211yescharacteristic, complemented
77C2×#14519769C2211yescharacteristic, complemented
78C2×#14519768C2211yescharacteristic, complemented
79C2×#14519767C2211yescharacteristic, complemented
80C2×#14519767C2211yescharacteristic, complemented
81C2×#14519767C2211yescharacteristic, complemented
82C2×#14519766C2211yescharacteristic, complemented
83C2×#14519764C2211yescharacteristic, complemented
84C2×#14519763C2211yescharacteristic
85C2×#14519763C2211yescharacteristic
86C2×#14519763C2211yescharacteristic, complemented
87C2×#14519763C2211yescharacteristic, complemented
88C2×#14519763C2211yescharacteristic, complemented
89#16840271C22116yescomplemented
90#16840270C22116yescomplemented
91C2×#14519762C2211yescharacteristic
92C2×#14519762C2211yescharacteristic
93C2×#14519762C2211yescharacteristic
94C2×#14519762C2211yescharacteristic, complemented
95C2×#14519762C2211yescharacteristic, complemented
96C2×#14519762C2211yescharacteristic, complemented
97C2×#14519761C2211yescharacteristic, complemented
98C2×#14519761C2211yescharacteristic, complemented
99C2×#14519760C2211yescharacteristic, complemented
100C2×#14519759C2211yescharacteristic
101C2×#14519759C2211yescharacteristic, complemented
102C2×#14519759C2211yescharacteristic, complemented
103C2×#14519759C2211yescharacteristic, complemented
104C2×#14519758C2211yescharacteristic
105C2×#14519757C2211yescharacteristic
106C2×#14519757C2211yescharacteristic, complemented
107C2×#14519757C2211yescharacteristic, complemented
108C2×#14519756C2211yescharacteristic, complemented
109C2×#14519755C2211yescharacteristic
110C2×#14519755C2211yescharacteristic
111C2×#14519755C2211yescharacteristic
112C2×#14519755C2211yescharacteristic
113C2×#14519755C2211yescharacteristic
114C2×#14519755C2211yescharacteristic
115C2×#14519755C2211yescharacteristic
116C2×#14519755C2211yescharacteristic, complemented
117C2×#14519755C2211yescharacteristic, complemented
118C2×#14519755C2211yescharacteristic, complemented
119C2×#14519755C2211yescharacteristic, complemented
120C2×#14519755C2211yescharacteristic, complemented
121C2×#14519755C2211yescharacteristic, complemented
122C2×#14519755C2211yescharacteristic, complemented
123C2×#14519755C2211yescharacteristic, complemented
124C2×#14519755C22116yescomplemented
125C2×#14519754C2211yescharacteristic, complemented
126C2×#14519754C2211yescharacteristic, complemented
127C2×#14519754C2211yescharacteristic, complemented
128C2×#14519754C2211yescharacteristic, complemented
129C2×#14519754C2211yescharacteristic, complemented
130C2×#14519754C2211yescharacteristic, complemented
131C2×#14519753C2211yescharacteristic
132C22⋊Q8×D61C22116yescomplemented
133C2×#14519752C2211yescharacteristic
134C2×#14519750C2211yescharacteristic
135C2×#14519750C2211yescharacteristic
136C2×#14519750C2211yescharacteristic
137C2×#14519750C2211yescharacteristic, complemented
138C2×#14519749C2211yescharacteristic
139C2×#14519749C2211yescharacteristic
140C2×#14519749C2211yescharacteristic, complemented
141C2×#14519747C2211yescharacteristic
142C2×#14519747C2211yescharacteristic
143C2×#14519745C2211yescharacteristic
144C2×#14519745C2211yescharacteristic
145#16840243C22116yescomplemented
146#16840241C22116yescomplemented
147C2×C4×Dic122C2211yescharacteristic, complemented
148C2×#14519742C2211yescharacteristic, complemented
149C2×#14519742C2211yescharacteristic, complemented
150C2×#14519742C2211yescharacteristic, complemented
151C2×#14519742C2211yescharacteristic, complemented
152C2×#14519742C2211yescharacteristic, complemented
153C2×#14519742C2211yescharacteristic, complemented
154C2×C4×D244C2211yescharacteristic
155C2×C4×D244C2211yescharacteristic
156C2×D4×Dic61C2211yescharacteristic
157C2×D4×Dic61C2211yescharacteristic, complemented
158C2×#14519739C2211yescharacteristic
159C2×#14519739C2211yescharacteristic
160C2×#14519739C2211yescharacteristic
161C2×#14519739C2211yescharacteristic, complemented
162C2×#14519739C2211yescharacteristic, complemented
163C2×C4×C22⋊D61C2211yescharacteristic
164C2×C4×C22⋊D61C2211yescharacteristic
165C2×C4×C22⋊D61C2211yescharacteristic
166C2×C4×C22⋊D61C2211yescharacteristic
167C2×C4×C22⋊D61C2211yescharacteristic, complemented
168C2×C4×C22⋊D61C2211yescharacteristic, complemented
169C2×C4×C22⋊D61C2211yescharacteristic, complemented
170C2×#14519737C2211yescharacteristic
171C2×#14519737C2211yescharacteristic
172C2×#14519737C2211yescharacteristic
173C2×#14519737C2211yescharacteristic
174C2×#14519737C2211yescharacteristic
175C2×#14519737C2211yescharacteristic, complemented
176C2×#14519737C2211yescharacteristic, complemented
177C4×D4×D61C22116yescomplemented
178C2×#14519736C2211yescharacteristic, complemented
179C2×#14519735C2211yescharacteristic
180C2×#14519735C2211yescharacteristic
181C2×#14519735C2211yescharacteristic, complemented
182C2×#14519735C2211yescharacteristic, complemented
183C2×#14519734C2211yescharacteristic, complemented
184C2×#14519734C2211yescharacteristic, complemented
185C2×#14519733C2211yescharacteristic, complemented
186C2×#14519733C2211yescharacteristic, complemented
187C2×#14519733C2211yescharacteristic, complemented
188C22×#11758196C2211yescharacteristic, complemented
189C22×#11758196C2211yescharacteristic, complemented
190C22×#11758196C2211yescharacteristic, complemented
191C2×C4⋊C4×D61C2211yescharacteristic
192C2×C4⋊C4×D61C2211yescharacteristic, complemented
193C2×C4⋊C4×D61C2211yescharacteristic, complemented
194C2×C4⋊C4×D61C2211yescharacteristic, complemented
195C2×C4⋊C4×D61C2211yescharacteristic, complemented
196C22×#11758198C2211yescharacteristic
197C22×#11758198C2211yescharacteristic
198C2×C22⋊C4×D61C2211yescharacteristic
199C2×C22⋊C4×D61C2211yescharacteristic
200C2×C22⋊C4×D61C2211yescharacteristic
201C2×C22⋊C4×D61C2211yescharacteristic
202C2×C42×D61C2211yescharacteristic
203C61×#539C22116yescomplemented
204C2×#126×C61C2211yescharacteristic, complemented
205C2×#126×C61C2211yescharacteristic, complemented
206C2×#125×C61C2211yescharacteristic, complemented
207C2×#125×C61C2211yescharacteristic, complemented
208C2×#123×C61C2211yescharacteristic
209C2×#123×C61C2211yescharacteristic, complemented
210C2×#123×C61C2211yescharacteristic, complemented
211C2×#123×C61C2211yescharacteristic, complemented
212C2×C22⋊Q8×C61C2211yescharacteristic, complemented
213C2×C22⋊Q8×C61C2211yescharacteristic, complemented
214C2×C22⋊Q8×C61C2211yescharacteristic, complemented
215C2×#121×C61C2211yescharacteristic
216C2×C4×D4×C61C2211yescharacteristic
217C2×C4×D4×C61C2211yescharacteristic, complemented
218C22×C4⋊C4×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C24×D61C2311yescharacteristic
221C2×#11758222—28no—
222C2×#11758222—44no—
223C2×#11758222C2318yes—
224C2×#11758222C2318yescomplemented
225C2×#11758224—28no—
226C2×#11758224—44no—
227C2×#11758224C2318yes—
228C2×#11758224C2318yescomplemented
229C22×Dic122—44no—
230C22×Dic122C2311yescharacteristic
231C22×Dic122C2311yescharacteristic
232C22×Dic122C2311yescharacteristic
233C22×Dic122C2311yescharacteristic
234C22×Dic122C2311yescharacteristic
235C22×Dic122C2311yescharacteristic
236C22×Dic122C2311yescharacteristic
237C22×Dic122C2311yescharacteristic
238C22×Dic122C2318yescomplemented
239C2×Q8×D61—44no—
240C2×Q8×D61C2318yescomplemented
241C22×D244C2311yescharacteristic
242C22×D244C2311yescharacteristic
243C22×D244C2311yescharacteristic
244C22×D244C2311yescharacteristic
245C22×C22⋊D61C2311yescharacteristic
246C22×C22⋊D61C2311yescharacteristic
247C22×C22⋊D61C2311yescharacteristic
248C22×C22⋊D61C2311yescharacteristic
249C22×C22⋊D61C2311yescharacteristic
250C22×C22⋊D61C2311yescharacteristic
251C22×C22⋊D61C2311yescharacteristic
252C22×C22⋊D61C2311yescharacteristic
253C2×D4×D61—28no—
254C2×D4×D61C2318yes—
255C23×Dic61C2311yescharacteristic
256C23×Dic61C2311yescharacteristic
257C23×Dic61C2311yescharacteristic
258C23×Dic61C2311yescharacteristic
259C23×Dic61C2311yescharacteristic
260C23×Dic61C2311yescharacteristic
261C22×C4×D61—44no—
262C22×C4×D61—44no—
263C22×C4×D61C2311yescharacteristic
264C22×C4×D61C2311yescharacteristic
265C22×C4×D61C2311yescharacteristic
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×D61C2311yescharacteristic
275C22×C4×D61C2311yescharacteristic
276C22×C4×D61C2311yescharacteristic
277C22×C4×D61C2311yescharacteristic
278C22×C4×D61C2318yes—
279C22×C4×D61C2318yes—
280C22×C4×D61C2311yescharacteristic
281#14519776C2318yescomplemented
282#14519776C2318yescomplemented
283#14519776C2318yescomplemented
284#14519775C2318yescomplemented
285#14519772C2318yescomplemented
286#14519772C2318yescomplemented
287#14519772C2318yescomplemented
288#14519772C2318yescomplemented
289#14519771C2318yescomplemented
290#14519770C2318yescomplemented
291#14519770C2318yescomplemented
292#14519770C2318yescomplemented
293#14519769C2318yescomplemented
294#14519768C2318yescomplemented
295#14519767C2318yescomplemented
296#14519767C2318yescomplemented
297#14519767C2318yescomplemented
298#14519766C2318yescomplemented
299#14519764C2318yescomplemented
300#14519763C2318yes—
301#14519763C2318yes—
302#14519763C2318yescomplemented
303#14519763C2318yescomplemented
304#14519763C2318yescomplemented
305#14519762C2318yes—
306#14519762C2318yes—
307#14519762C2318yes—
308#14519762C2318yescomplemented
309#14519762C2318yescomplemented
310#14519762C2318yescomplemented
311#14519761C2318yescomplemented
312#14519761C2318yescomplemented
313#14519760C2318yescomplemented
314#14519759C2318yes—
315#14519759C2318yescomplemented
316#14519759C2318yescomplemented
317#14519759C2318yescomplemented
318#14519758C2318yes—
319#14519757C2318yes—
320#14519757C2318yescomplemented
321#14519757C2318yescomplemented
322#14519756C2318yescomplemented
323#14519755C2318yes—
324#14519755C2318yes—
325#14519755C2318yes—
326#14519755C2318yes—
327#14519755C2318yes—
328#14519755C2318yes—
329#14519755C2318yes—
330#14519755C2318yescomplemented
331#14519755C2318yescomplemented
332#14519755C2318yescomplemented
333#14519755C2318yescomplemented
334#14519755C2318yescomplemented
335#14519755C2318yescomplemented
336#14519755C2318yescomplemented
337#14519755C2318yescomplemented
338#14519754C2318yescomplemented
339#14519754C2318yescomplemented
340#14519754C2318yescomplemented
341#14519754C2318yescomplemented
342#14519754C2318yescomplemented
343#14519754C2318yescomplemented
344#14519753C2318yes—
345#14519752C2318yes—
346#14519750C2318yes—
347#14519750C2318yes—
348#14519750C2318yes—
349#14519750C2318yescomplemented
350#14519749C2318yes—
351#14519749C2318yes—
352#14519749C2318yescomplemented
353#14519747C2318yes—
354#14519747C2318yes—
355#14519745C2318yes—
356#14519745C2318yes—
357C4×Dic122C2318yescomplemented
358#14519742C2318yescomplemented
359#14519742C2318yescomplemented
360#14519742C2318yescomplemented
361#14519742C2318yescomplemented
362#14519742C2318yescomplemented
363#14519742C2318yescomplemented
364C4×D244C2318yes—
365C4×D244C2318yes—
366D4×Dic61C2318yes—
367D4×Dic61C2318yescomplemented
368#14519739C2318yes—
369#14519739C2318yes—
370#14519739C2318yes—
371#14519739C2318yescomplemented
372#14519739C2318yescomplemented
373C4×C22⋊D61C2318yes—
374C4×C22⋊D61C2318yes—
375C4×C22⋊D61C2318yes—
376C4×C22⋊D61C2318yes—
377C4×C22⋊D61C2318yescomplemented
378C4×C22⋊D61C2318yescomplemented
379C4×C22⋊D61C2318yescomplemented
380#14519737C2318yes—
381#14519737C2318yes—
382#14519737C2318yes—
383#14519737C2318yes—
384#14519737C2318yes—
385#14519737C2318yescomplemented
386#14519737C2318yescomplemented
387#14519736C2318yescomplemented
388#14519735C2318yes—
389#14519735C2318yes—
390#14519735C2318yescomplemented
391#14519735C2318yescomplemented
392#14519734C2318yescomplemented
393#14519734C2318yescomplemented
394#14519733C2318yescomplemented
395#14519733C2318yescomplemented
396#14519733C2318yescomplemented
397C2×C4⋊Dic61C2311yescharacteristic
398C2×C4⋊Dic61C2311yescharacteristic
399C2×C4⋊Dic61C2311yescharacteristic
400C2×C4⋊Dic61C2311yescharacteristic
401C2×C4⋊Dic61C2311yescharacteristic
402C2×C4⋊Dic61C2311yescharacteristic
403C2×C4⋊Dic61C2311yescharacteristic
404C2×C4⋊Dic61C2311yescharacteristic
405C2×#11758196C2311yescharacteristic
406C2×#11758196C2311yescharacteristic
407C2×#11758196C2311yescharacteristic
408C2×#11758196C2311yescharacteristic
409C2×#11758196C2311yescharacteristic
410C2×#11758196C2311yescharacteristic
411C2×#11758196C2311yescharacteristic
412C2×#11758196C2311yescharacteristic
413C2×#11758196C2311yescharacteristic
414C2×#11758196C2311yescharacteristic
415C2×#11758196C2311yescharacteristic
416C2×#11758196C2311yescharacteristic
417C2×#11758196C2311yescharacteristic
418C2×#11758196C2311yescharacteristic
419C2×#11758196C2311yescharacteristic
420C2×#11758196C2311yescharacteristic
421C2×#11758196C2311yescharacteristic
422C2×#11758196C2311yescharacteristic
423C2×#11758196C2311yescharacteristic
424C2×#11758196C2311yescharacteristic
425C2×#11758196C2311yescharacteristic
426C2×#11758196C2311yescharacteristic
427C2×#11758196C2311yescharacteristic
428C2×#11758196C2311yescharacteristic
429C2×#11758196C2318yescomplemented
430C2×#11758196C2318yescomplemented
431C2×#11758196C2318yescomplemented
432C4⋊C4×D61C2318yes—
433C4⋊C4×D61C2318yescomplemented
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⋊Dic61C2311yescharacteristic
443C2×C22⋊Dic61C2311yescharacteristic
444C2×C22⋊Dic61C2311yescharacteristic
445C2×#11758198C2311yescharacteristic
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×#11758198C2311yescharacteristic
459C2×#11758198C2318yes—
460C2×#11758198C2318yes—
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
486C2×C4×Dic61C2311yescharacteristic
487C42×D61C2318yes—
488C22×Q8×C61C2311yescharacteristic
489C22×D4×C61C2311yescharacteristic
490C22×D4×C61C2311yescharacteristic
491C22×D4×C61C2311yescharacteristic
492C23×C4×C61C2311yescharacteristic
493C23×C4×C61C2311yescharacteristic
494C23×C4×C61C2311yescharacteristic
495C23×C4×C61C2311yescharacteristic
496C23×C4×C61C2311yescharacteristic
497#126×C61C2318yescomplemented
498#126×C61C2318yescomplemented
499#125×C61C2318yescomplemented
500#125×C61C2318yescomplemented
501#123×C61C2318yes—
502#123×C61C2318yescomplemented
503#123×C61C2318yescomplemented
504#123×C61C2318yescomplemented
505C22⋊Q8×C61C2318yescomplemented
506C22⋊Q8×C61C2318yescomplemented
507C22⋊Q8×C61C2318yescomplemented
508#121×C61C2318yes—
509C4×D4×C61C2318yes—
510C4×D4×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×C4⋊C4×C61C2311yescharacteristic
520C2×C4⋊C4×C61C2311yescharacteristic
521C2×C4⋊C4×C61C2311yescharacteristic
522C2×C4⋊C4×C61C2311yescharacteristic
523C2×C4⋊C4×C61C2311yescharacteristic
524C2×C4⋊C4×C61C2311yescharacteristic
525C2×C4⋊C4×C61C2318yescomplemented
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×C22⋊C4×C61C2311yescharacteristic
536C2×C42×C61C2311yescharacteristic
537C2×C42×C61C2311yescharacteristic
538C24×C61C2411yescharacteristic
539C24×C61C2411yescharacteristic
540C24×C61C2411yescharacteristic
541C23×D61—24no—
542C23×D61—24no—
543C23×D61—24no—
544C23×D61—24no—
545C23×D61—42no—
546C23×D61—42no—
547C23×D61C2411yescharacteristic
548C23×D61C2411yescharacteristic
549C23×D61C2414yes—
550C23×D61C2414yes—
551C23×D61C2411yescharacteristic
552C23×D61C2411yescharacteristic
553C2×Q8×C61—42no—
554C2×Q8×C61C2414yes—
555C2×D4×C61—24no—
556C2×D4×C61—24no—
557C2×D4×C61—42no—
558C2×D4×C61C2414yes—
559C2×D4×C61C2414yes—
560C2×D4×C61C2414yes—
561C22×C4×C61—24no—
562C22×C4×C61—42no—
563C22×C4×C61—42no—
564C22×C4×C61—42no—
565C22×C4×C61—42no—
566C22×C4×C61C2411yescharacteristic
567C22×C4×C61C2411yescharacteristic
568C22×C4×C61C2411yescharacteristic
569C22×C4×C61C2411yescharacteristic
570C22×C4×C61C2411yescharacteristic
571C22×C4×C61C2411yescharacteristic
572C22×C4×C61C2411yescharacteristic
573C22×C4×C61C2411yescharacteristic
574C22×C4×C61C2411yescharacteristic
575C22×C4×C61C2411yescharacteristic
576C22×C4×C61C2411yescharacteristic
577C22×C4×C61C2411yescharacteristic
578C22×C4×C61C2414yes—
579C22×C4×C61C2414yes—
580C22×C4×C61C2414yes—
581C22×C4×C61C2414yes—
582C22×C4×C61C2414yes—
583C2×C22⋊D61—24no—
584C2×C22⋊D61—24no—
585C2×C22⋊D61—24no—
586C2×C22⋊D61—24no—
587C2×C22⋊D61—24no—
588C2×C22⋊D61—42no—
589C2×C22⋊D61—42no—
590C2×C22⋊D61#4118yescomplemented
591C2×C22⋊D61C2414yes—
592C2×C22⋊D61C2414yes—
593C2×C22⋊D61C2414yes—
594C2×C22⋊D61C2414yes—
595C2×C22⋊D61C2414yes—
596C2×C22⋊D61C2414yes—
597C2×C22⋊D61C2414yes—
598C2×C22⋊D61C2414yes—
599C22×Dic61—24no—
600C22×Dic61—24no—
601C22×Dic61—24no—
602C22×Dic61—24no—
603C22×Dic61—42no—
604C22×Dic61—42no—
605C22×Dic61C2411yescharacteristic
606C22×Dic61C2411yescharacteristic
607C22×Dic61C2414yes—
608C22×Dic61C2414yes—
609C22×Dic61C2411yescharacteristic
610C22×Dic61C2411yescharacteristic
611C22×Dic61C2411yescharacteristic
612C22×Dic61C2411yescharacteristic
613C22×Dic61C2411yescharacteristic
614C22×Dic61C2411yescharacteristic
615C22×Dic61C2411yescharacteristic
616C22×Dic61C2414yes—
617C22×Dic61C2414yes—
618C22×Dic61C2411yescharacteristic
619C22×Dic61C2414yes—
620C22×Dic61C2414yes—
621C22×Dic61C2411yescharacteristic
622C22×Dic61C2411yescharacteristic
623Q8×D61—416no—
624#11758224—232no—
625#11758224—416no—
626D4×D61—232no—
627#11758222—232no—
628#11758222—416no—
629C2×D244—24no—
630C2×D244—24no—
631C2×D244—24no—
632C2×D244—42no—
633C2×D244C2414yes—
634C2×D244C2414yes—
635C2×D244C2414yes—
636C2×D244C2414yes—
637C2×C4×D61—24no—
638C2×C4×D61—24no—
639C2×C4×D61—24no—
640C2×C4×D61—24no—
641C2×C4×D61—24no—
642C2×C4×D61—24no—
643C2×C4×D61—24no—
644C2×C4×D61—24no—
645C2×C4×D61—416no—
646C2×C4×D61—416no—
647C2×C4×D61—42no—
648C2×C4×D61—42no—
649C2×C4×D61—42no—
650C2×C4×D61—42no—
651C2×C4×D61—42no—
652C2×C4×D61—42no—
653C2×C4×D61—42no—
654C2×C4×D61—42no—
655C2×C4×D61C2414yes—
656C2×C4×D61C2414yes—
657C2×C4×D61C2414yes—
658C2×C4×D61C2414yes—
659C2×C4×D61C2414yes—
660C2×C4×D61C2414yes—
661C2×C4×D61C2414yes—
662C2×C4×D61C2414yes—
663C2×C4×D61C2414yes—
664C2×C4×D61C2414yes—
665C2×C4×D61C2414yes—
666C2×C4×D61C2414yes—
667C2×C4×D61C2414yes—
668C2×C4×D61C2414yes—
669C2×C4×D61C2414yes—
670C2×C4×D61C2414yes—
671C2×Dic122—24no—
672C2×Dic122—24no—
673C2×Dic122—24no—
674C2×Dic122—24no—
675C2×Dic122—24no—
676C2×Dic122—416no—
677C2×Dic122—42no—
678C2×Dic122—42no—
679C2×Dic122—42no—
680C2×Dic122C2414yes—
681C2×Dic122C2414yes—
682C2×Dic122C2414yes—
683C2×Dic122C2414yes—
684C2×Dic122C2414yes—
685C2×Dic122C2414yes—
686C2×Dic122C2414yes—
687C2×Dic122C2414yes—
688C4⋊C4×C61C2414yes—
689C4⋊C4×C61C2414yes—
690C4⋊C4×C61C2414yes—
691C4⋊C4×C61C2414yes—
692C4⋊C4×C61C2414yes—
693C4⋊C4×C61C2414yes—
694C4⋊C4×C61C2414yes—
695C4⋊C4×C61C2414yes—
696C4⋊C4×C61C2414yes—
697C4⋊C4×C61C2414yes—
698C4⋊C4×C61C2414yes—
699C4⋊C4×C61C2414yes—
700C4⋊C4×C61C2414yes—
701C4⋊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—
722#11758198C2414yes—
723#11758198C2414yes—
724#11758198C2414yes—
725#11758198C2414yes—
726#11758198C2414yes—
727#11758198C2414yes—
728#11758198C2414yes—
729#11758198C2414yes—
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—
746C4⋊Dic61C2414yes—
747C4⋊Dic61C2414yes—
748C4⋊Dic61C2414yes—
749C4⋊Dic61C2414yes—
750C4⋊Dic61C2414yes—
751C4⋊Dic61C2414yes—
752C4⋊Dic61C2414yes—
753C4⋊Dic61C2414yes—
754#11758196C2414yes—
755#11758196C2414yes—
756#11758196C2414yes—
757#11758196C2414yes—
758#11758196C2414yes—
759#11758196C2414yes—
760#11758196C2414yes—
761#11758196C2414yes—
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×C61C2×#4114yes—
799C23×C61C2512yes—
800C23×C61C2512yes—
801C23×C61C2512yes—
802C23×C61C2511yescharacteristic
803C22×D61—22no—
804C22×D61—22no—
805C22×D61—22no—
806C22×D61—22no—
807C22×D61—22no—
808C22×D61—22no—
809C22×D61—28no—
810C22×D61—22no—
811C22×D61—22no—
812C22×D61—22no—
813C22×D61—22no—
814C22×D61—28no—
815C22×D61—28no—
816C22×D61—28no—
817C22×D61—44no—
818C22×D61—44no—
819C22×D61—416no—
820C22×D61—416no—
821C22×D61C2×#4114yes—
822C22×D612−1+414yes—
823C22×D61C2512yes—
824C22×D61C2512yes—
825C22×D61C2512yes—
826C22×D61C2512yes—
827Q8×C61—44no—
828D4×C61—28no—
829D4×C61—28no—
830D4×C61—44no—
831C2×C4×C61—22no—
832C2×C4×C61—22no—
833C2×C4×C61—22no—
834C2×C4×C61—22no—
835C2×C4×C61—28no—
836C2×C4×C61—22no—
837C2×C4×C61—22no—
838C2×C4×C61—22no—
839C2×C4×C61—22no—
840C2×C4×C61—22no—
841C2×C4×C61—22no—
842C2×C4×C61—22no—
843C2×C4×C61—22no—
844C2×C4×C61—44no—
845C2×C4×C61—44no—
846C2×C4×C61—44no—
847C2×C4×C61—44no—
848C2×C4×C61C2512yes—
849C2×C4×C61C2512yes—
850C2×C4×C61C2512yes—
851C2×C4×C61C2512yes—
852C2×C4×C61C2512yes—
853C2×C4×C61C2512yes—
854C2×C4×C61C2512yes—
855C2×C4×C61C2512yes—
856C2×C4×C61C2512yes—
857C2×C4×C61C2512yes—
858C2×C4×C61C2512yes—
859C2×C4×C61C2512yes—
860C22⋊D61—28no—
861C22⋊D61—28no—
862C22⋊D61—28no—
863C22⋊D61—28no—
864C22⋊D61—28no—
865C22⋊D61—44no—
866C22⋊D61—44no—
867C22⋊D61C2×#41116yescomplemented
868C2×Dic61—22no—
869C2×Dic61—22no—
870C2×Dic61—22no—
871C2×Dic61—28no—
872C2×Dic61—22no—
873C2×Dic61—22no—
874C2×Dic61—22no—
875C2×Dic61—22no—
876C2×Dic61—22no—
877C2×Dic61—22no—
878C2×Dic61—22no—
879C2×Dic61—28no—
880C2×Dic61—28no—
881C2×Dic61—28no—
882C2×Dic61—44no—
883C2×Dic61—44no—
884C2×Dic61C2×#4114yes—
885C2×Dic61H(5,𝔽2)14yes—
886C2×Dic61C2512yes—
887C2×Dic61C2512yes—
888C2×Dic61C2512yes—
889C2×Dic61C2512yes—
890C2×Dic61C2512yes—
891C2×Dic61C2512yes—
892C2×Dic61C2512yes—
893C2×Dic61C2512yes—
894C2×Dic61C2512yes—
895C2×Dic61C2512yes—
896C2×Dic61C2512yes—
897C2×Dic61C2512yes—
898D244—28no—
899D244—28no—
900D244—28no—
901D244—44no—
902C4×D61—28no—
903C4×D61—28no—
904C4×D61—28no—
905C4×D61—28no—
906C4×D61—28no—
907C4×D61—28no—
908C4×D61—28no—
909C4×D61—28no—
910C4×D61—44no—
911C4×D61—44no—
912C4×D61—44no—
913C4×D61—44no—
914C4×D61—44no—
915C4×D61—44no—
916C4×D61—44no—
917C4×D61—44no—
918Dic122—28no—
919Dic122—28no—
920Dic122—28no—
921Dic122—28no—
922Dic122—28no—
923Dic122—44no—
924Dic122—44no—
925Dic122—44no—
926C2×#3520—611nomaximal, Sylow
927C22×C61—22no—
928C22×C61—22no—
929C22×C61—28no—
930C22×C61—22no—
931C22×C61—22no—
932C22×C61—22no—
933C22×C61—22no—
934C22×C61—22no—
935C22×C61—22no—
936C22×C61—44no—
937C22×C61—44no—
938C22×C61C22×#4114yes—
939C22×C61C22×#4112yes—
940C22×C61C2×H(5,𝔽2)12yes—
941C22×C61C2×2−1+412yes—
942C22×C61C2611yescharacteristic
943C2×D61—22no—
944C2×D61—22no—
945C2×D61—22no—
946C2×D61—22no—
947C2×D61—28no—
948C2×D61—28no—
949C2×D61—22no—
950C2×D61—22no—
951C2×D61—22no—
952C2×D61—22no—
953C2×D61—22no—
954C2×D61—22no—
955C2×D61—416no—
956C2×D61—416no—
957C2×D61—44no—
958C2×D61—44no—
959C2×D61C22×#4114yes—
960C2×D61C2×2−1+414yes—
961C4×C61—22no—
962C4×C61—22no—
963C4×C61—22no—
964C4×C61—22no—
965C4×C61—22no—
966C4×C61—22no—
967C4×C61—22no—
968C4×C61—22no—
969C4×C61—22no—
970C4×C61—22no—
971C4×C61—22no—
972C4×C61—22no—
973Dic61—22no—
974Dic61—22no—
975Dic61—22no—
976Dic61—22no—
977Dic61—22no—
978Dic61—22no—
979Dic61—22no—
980Dic61—22no—
981Dic61—22no—
982Dic61—22no—
983Dic61C22×#4114yes—
984Dic61C2×H(5,𝔽2)14yes—
985#3520—6132no—
986C2×#556—611no—
987C2×#554—611no—
988C2×#554—611no—
989C2×#552—611no—
990C2×#552—611no—
991C2×#551—611no—
992C2×#551—611no—
993C2×#551—611no—
994C2×#551—611no—
995C2×D4×Q8—611no—
996C2×#548—611no—
997C2×#548—611no—
998C2×#547—611no—
999C2×#547—611no—
1000C2×#546—611no—
1001C2×#546—611no—
1002C2×#542—611no—
1003C2×#542—611no—
1004C2×#539—611no—
1005C2×#539—611no—
1006C2×#539—611no—
1007C2×#539D6111yescharacteristic, complemented
1008C2×#533—611no—
1009C2×#529—611no—
1010C2×#525—611no—
1011C2×#525—611no—
1012C22×C22⋊Q8—611no—
1013C22×C22⋊Q8—611no—
1014C2×#520—611no—
1015C2×#520—611no—
1016C22×C4×D4—611no—
1017C2×C61—24no—
1018C2×C61—42no—
1019C2×C61—42no—
1020C2×C61#352014yescomplemented
1021C2×C61C23×#4111yescharacteristic
1022C2×C61C22×H(5,𝔽2)11yescharacteristic
1023C2×C61C22×2−1+411yescharacteristic
1024D61—24no—
1025D61—24no—
1026D61—42no—
1027D61—42no—
1028C22×#41—611no—
1029C22×#41—611no—
1030C22×#41—611no—
1031C22×#41—611no—
1032C23×Q8—611no—
1033C23×Q8—611no—
1034C23×D4—611no—
1035C24×C4—611no—
1036C24×C4—611no—
1037#556—6116no—
1038#554—6116no—
1039#554—6116no—
1040#552—6116no—
1041#552—6116no—
1042#551—6116no—
1043#551—6116no—
1044#551—6116no—
1045#551—6116no—
1046D4×Q8—6116no—
1047#548—6116no—
1048#548—6116no—
1049#547—6116no—
1050#547—6116no—
1051#546—6116no—
1052#546—6116no—
1053#542—6116no—
1054#542—6116no—
1055#539—6116no—
1056#539—6116no—
1057#539—6116no—
1058#539C2×D61116yescomplemented
1059#533—6116no—
1060C2×C4⋊Q8—611no—
1061C2×C4⋊Q8—611no—
1062C2×C4⋊Q8—611no—
1063C2×C4⋊Q8—611no—
1064#529—6116no—
1065C2×#126—611no—
1066C2×#126—611no—
1067C2×#126—611no—
1068C2×#126—611no—
1069C2×#126—611no—
1070C2×#126—611no—
1071C2×#126—611no—
1072C2×#126—611no—
1073C2×#126C2×D6111yescharacteristic, complemented
1074C2×#126C2×D6111yescharacteristic, complemented
1075C2×#125—611no—
1076C2×#125—611no—
1077C2×#125—611no—
1078C2×#125—611no—
1079C2×#125—611no—
1080C2×#125C2×D6111yescharacteristic, complemented
1081C2×#125C2×D6111yescharacteristic, complemented
1082C2×#124—611no—
1083C2×#124—611no—
1084C2×#124—611no—
1085C2×#124—611no—
1086C2×#124—611no—
1087C2×#124—611no—
1088C2×#124—611no—
1089#525—6116no—
1090#525—6116no—
1091C2×#123—611no—
1092C2×#123—611no—
1093C2×#123—611no—
1094C2×#123—611no—
1095C2×#123—611no—
1096C2×#123—611no—
1097C2×#123—611no—
1098C2×#123—611no—
1099C2×#123—611no—
1100C2×#123—611no—
1101C2×#123—611no—
1102C2×#123—611no—
1103C2×#123—611no—
1104C2×#123—611no—
1105C2×#123C2×D6111yescharacteristic
1106C2×#123C2×D6111yescharacteristic, complemented
1107C2×#123C2×D6111yescharacteristic, complemented
1108C2×#123C2×D6111yescharacteristic, complemented
1109C2×C22⋊Q8—611no—
1110C2×C22⋊Q8—611no—
1111C2×C22⋊Q8—6116no—
1112C2×C22⋊Q8—611no—
1113C2×C22⋊Q8—611no—
1114C2×C22⋊Q8—611no—
1115C2×C22⋊Q8—611no—
1116C2×C22⋊Q8—611no—
1117C2×C22⋊Q8—611no—
1118C2×C22⋊Q8—611no—
1119C2×C22⋊Q8—611no—
1120C2×C22⋊Q8—611no—
1121C2×C22⋊Q8—611no—
1122C2×C22⋊Q8—611no—
1123C2×C22⋊Q8—611no—
1124C2×C22⋊Q8—611no—
1125C2×C22⋊Q8—611no—
1126C2×C22⋊Q8—611no—
1127C2×C22⋊Q8—611no—
1128C2×C22⋊Q8—611no—
1129C2×C22⋊Q8—611no—
1130C2×C22⋊Q8—6116no—
1131C2×C22⋊Q8—611no—
1132C2×C22⋊Q8—611no—
1133C2×C22⋊Q8—611no—
1134C2×C22⋊Q8—611no—
1135C2×C22⋊Q8—611no—
1136C2×C22⋊Q8—611no—
1137C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1138C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1139C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1140C2×#121—611no—
1141C2×#121—611no—
1142C2×#121—611no—
1143C2×#121—611no—
1144C2×#121—611no—
1145C2×#121—611no—
1146C2×#121—611no—
1147C2×#121—611no—
1148C2×#121C2×D6111yescharacteristic
1149C2×#120—611no—
1150C2×#120—611no—
1151C2×#120—611no—
1152C2×#120—611no—
1153#520—6116no—
1154#520—6116no—
1155C2×C4×Q8—611no—
1156C2×C4×Q8—611no—
1157C2×C4×Q8—611no—
1158C2×C4×Q8—611no—
1159C2×C4×Q8—611no—
1160C2×C4×Q8—611no—
1161C2×C4×Q8—611no—
1162C2×C4×D4—611no—
1163C2×C4×D4—611no—
1164C2×C4×D4—611no—
1165C2×C4×D4—611no—
1166C2×C4×D4—611no—
1167C2×C4×D4—611no—
1168C2×C4×D4—611no—
1169C2×C4×D4—611no—
1170C2×C4×D4—611no—
1171C2×C4×D4—6116no—
1172C2×C4×D4—611no—
1173C2×C4×D4—611no—
1174C2×C4×D4—611no—
1175C2×C4×D4—611no—
1176C2×C4×D4—611no—
1177C2×C4×D4—611no—
1178C2×C4×D4—611no—
1179C2×C4×D4—611no—
1180C2×C4×D4—611no—
1181C2×C4×D4—611no—
1182C2×C4×D4—611no—
1183C2×C4×D4—611no—
1184C2×C4×D4—611no—
1185C2×C4×D4—611no—
1186C2×C4×D4C2×D6111yescharacteristic
1187C2×C4×D4C2×D6111yescharacteristic, complemented
1188C2×#117—611no—
1189C2×#117—611no—
1190C2×#117—611no—
1191C2×#117—611no—
1192C2×#117—611no—
1193C2×#117—611no—
1194C2×#117—611no—
1195C2×#117—611no—
1196C2×#117—611no—
1197C2×#117—611no—
1198C22×C4⋊C4—611no—
1199C22×C4⋊C4—611no—
1200C22×C4⋊C4—611no—
1201C22×C4⋊C4—611no—
1202C22×C4⋊C4—611no—
1203C22×C4⋊C4—611no—
1204C22×C4⋊C4—611no—
1205C22×C4⋊C4—611no—
1206C22×C4⋊C4C2×D6111yescharacteristic, complemented
1207C22×C22⋊C4—611no—
1208C22×C22⋊C4—611no—
1209C22×C22⋊C4—611no—
1210C22×C22⋊C4—611no—
1211C22×C22⋊C4—611no—
1212C22×C22⋊C4—611no—
1213C22×C42—611no—
1214C61C2×#352011yescharacteristic, complemented, Sylow
1215C25—611no—
1216C25—611no—
1217C2×#41—618no—
1218C2×#41—618no—
1219C2×#41—618no—
1220C2×#41—618no—
1221C2×#41—1228no—
1222C2×#41—1228no—
1223C2×#41—2444no—
1224C2×#41—2444no—
1225C22×Q8—618no—
1226C22×Q8—611no—
1227C22×Q8—611no—
1228C22×Q8—611no—
1229C22×Q8—611no—
1230C22×Q8—611no—
1231C22×Q8—611no—
1232C22×Q8—611no—
1233C22×Q8—611no—
1234C22×Q8—618no—
1235C22×Q8—2444no—
1236C22×Q8—2444no—
1237C22×Q8C22×D6111yescharacteristic
1238C22×D4—611no—
1239C22×D4—611no—
1240C22×D4—611no—
1241C22×D4—611no—
1242C22×D4—611no—
1243C22×D4—611no—
1244C22×D4—611no—
1245C22×D4—611no—
1246C22×D4—618no—
1247C22×D4—611no—
1248C22×D4—611no—
1249C22×D4—611no—
1250C22×D4—611no—
1251C22×D4—1228no—
1252C22×D4C22×D6111yescharacteristic
1253C22×D4C22×D6111yescharacteristic
1254C22×D4C22×D6111yescharacteristic
1255C23×C4—611no—
1256C23×C4—611no—
1257C23×C4—611no—
1258C23×C4—611no—
1259C23×C4—611no—
1260C23×C4—611no—
1261C23×C4—611no—
1262C23×C4—611no—
1263C23×C4—611no—
1264C23×C4—611no—
1265C23×C4—611no—
1266C23×C4—611no—
1267C23×C4—611no—
1268C23×C4—611no—
1269C23×C4—611no—
1270C23×C4—611no—
1271C23×C4—611no—
1272C23×C4—611no—
1273C23×C4—611no—
1274C23×C4—611no—
1275C23×C4—611no—
1276C23×C4—611no—
1277C23×C4—618no—
1278C23×C4—618no—
1279C23×C4—2444no—
1280C23×C4—2444no—
1281C23×C4C22×D6111yescharacteristic
1282C23×C4C22×D6111yescharacteristic
1283C23×C4C22×D6111yescharacteristic
1284C23×C4C22×D6111yescharacteristic
1285C23×C4C22×D6111yescharacteristic
1286C4⋊Q8—618no—
1287C4⋊Q8—618no—
1288C4⋊Q8—618no—
1289C4⋊Q8—618no—
1290#126—618no—
1291#126—618no—
1292#126—618no—
1293#126—618no—
1294#126—618no—
1295#126—618no—
1296#126—618no—
1297#126—618no—
1298#126C22×D6118yescomplemented
1299#126C22×D6118yescomplemented
1300#125—618no—
1301#125—618no—
1302#125—618no—
1303#125—618no—
1304#125—618no—
1305#125C22×D6118yescomplemented
1306#125C22×D6118yescomplemented
1307#124—618no—
1308#124—618no—
1309#124—618no—
1310#124—618no—
1311#124—618no—
1312#124—618no—
1313#124—618no—
1314#123—618no—
1315#123—618no—
1316#123—618no—
1317#123—618no—
1318#123—618no—
1319#123—618no—
1320#123—618no—
1321#123—618no—
1322#123—618no—
1323#123—618no—
1324#123—618no—
1325#123—618no—
1326#123—618no—
1327#123—618no—
1328#123C22×D6118yes—
1329#123C22×D6118yescomplemented
1330#123C22×D6118yescomplemented
1331#123C22×D6118yescomplemented
1332C22⋊Q8—618no—
1333C22⋊Q8—618no—
1334C22⋊Q8—618no—
1335C22⋊Q8—618no—
1336C22⋊Q8—618no—
1337C22⋊Q8—618no—
1338C22⋊Q8—618no—
1339C22⋊Q8—618no—
1340C22⋊Q8—618no—
1341C22⋊Q8—618no—
1342C22⋊Q8—618no—
1343C22⋊Q8—618no—
1344C22⋊Q8—618no—
1345C22⋊Q8—618no—
1346C22⋊Q8—618no—
1347C22⋊Q8—618no—
1348C22⋊Q8—618no—
1349C22⋊Q8—618no—
1350C22⋊Q8—618no—
1351C22⋊Q8—618no—
1352C22⋊Q8—618no—
1353C22⋊Q8—618no—
1354C22⋊Q8—618no—
1355C22⋊Q8—618no—
1356C22⋊Q8—618no—
1357C22⋊Q8—618no—
1358C22⋊Q8C22×D6118yescomplemented
1359C22⋊Q8C22×D6118yescomplemented
1360C22⋊Q8C22×D6118yescomplemented
1361#121—618no—
1362#121—618no—
1363#121—618no—
1364#121—618no—
1365#121—618no—
1366#121—618no—
1367#121—618no—
1368#121—618no—
1369#121C22×D6118yes—
1370#120—618no—
1371#120—618no—
1372#120—618no—
1373#120—618no—
1374C4×Q8—618no—
1375C4×Q8—618no—
1376C4×Q8—618no—
1377C4×Q8—618no—
1378C4×Q8—618no—
1379C4×Q8—618no—
1380C4×Q8—618no—
1381C4×D4—618no—
1382C4×D4—618no—
1383C4×D4—618no—
1384C4×D4—618no—
1385C4×D4—618no—
1386C4×D4—618no—
1387C4×D4—618no—
1388C4×D4—618no—
1389C4×D4—618no—
1390C4×D4—618no—
1391C4×D4—618no—
1392C4×D4—618no—
1393C4×D4—618no—
1394C4×D4—618no—
1395C4×D4—618no—
1396C4×D4—618no—
1397C4×D4—618no—
1398C4×D4—618no—
1399C4×D4—618no—
1400C4×D4—618no—
1401C4×D4—618no—
1402C4×D4—618no—
1403C4×D4—618no—
1404C4×D4C22×D6118yes—
1405C4×D4C22×D6118yescomplemented
1406#117—618no—
1407#117—618no—
1408#117—618no—
1409#117—618no—
1410#117—618no—
1411#117—618no—
1412#117—618no—
1413#117—618no—
1414#117—618no—
1415#117—618no—
1416C2×C4⋊C4—611no—
1417C2×C4⋊C4—611no—
1418C2×C4⋊C4—611no—
1419C2×C4⋊C4—611no—
1420C2×C4⋊C4—611no—
1421C2×C4⋊C4—611no—
1422C2×C4⋊C4—611no—
1423C2×C4⋊C4—611no—
1424C2×C4⋊C4—611no—
1425C2×C4⋊C4—611no—
1426C2×C4⋊C4—611no—
1427C2×C4⋊C4—611no—
1428C2×C4⋊C4—611no—
1429C2×C4⋊C4—611no—
1430C2×C4⋊C4—611no—
1431C2×C4⋊C4—611no—
1432C2×C4⋊C4—611no—
1433C2×C4⋊C4—618no—
1434C2×C4⋊C4—618no—
1435C2×C4⋊C4—611no—
1436C2×C4⋊C4—611no—
1437C2×C4⋊C4—611no—
1438C2×C4⋊C4—618no—
1439C2×C4⋊C4—611no—
1440C2×C4⋊C4—611no—
1441C2×C4⋊C4—611no—
1442C2×C4⋊C4—611no—
1443C2×C4⋊C4—611no—
1444C2×C4⋊C4—611no—
1445C2×C4⋊C4—611no—
1446C2×C4⋊C4—611no—
1447C2×C4⋊C4—611no—
1448C2×C4⋊C4—611no—
1449C2×C4⋊C4—611no—
1450C2×C4⋊C4—611no—
1451C2×C4⋊C4—618no—
1452C2×C4⋊C4—618no—
1453C2×C4⋊C4—618no—
1454C2×C4⋊C4—618no—
1455C2×C4⋊C4—618no—
1456C2×C4⋊C4C22×D6111yescharacteristic
1457C2×C4⋊C4C22×D6111yescharacteristic
1458C2×C4⋊C4C22×D6111yescharacteristic
1459C2×C4⋊C4C22×D6111yescharacteristic
1460C2×C4⋊C4C22×D6111yescharacteristic
1461C2×C4⋊C4C22×D6111yescharacteristic
1462C2×C4⋊C4C22×D6111yescharacteristic
1463C2×C4⋊C4C22×D6111yescharacteristic
1464C2×C4⋊C4C22×D6111yescharacteristic
1465C2×C4⋊C4C22×D6111yescharacteristic
1466C2×C4⋊C4C22×D6111yescharacteristic
1467C2×C4⋊C4C22×D6111yescharacteristic
1468C2×C4⋊C4C22×D6111yescharacteristic
1469C2×C4⋊C4C22×D6111yescharacteristic
1470C2×C4⋊C4C22×D6118yescomplemented
1471C2×C22⋊C4—611no—
1472C2×C22⋊C4—611no—
1473C2×C22⋊C4—611no—
1474C2×C22⋊C4—611no—
1475C2×C22⋊C4—611no—
1476C2×C22⋊C4—611no—
1477C2×C22⋊C4—611no—
1478C2×C22⋊C4—611no—
1479C2×C22⋊C4—611no—
1480C2×C22⋊C4—611no—
1481C2×C22⋊C4—611no—
1482C2×C22⋊C4—611no—
1483C2×C22⋊C4—611no—
1484C2×C22⋊C4—611no—
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—618no—
1494C2×C22⋊C4—618no—
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—618no—
1506C2×C22⋊C4—618no—
1507C2×C22⋊C4—618no—
1508C2×C22⋊C4—618no—
1509C2×C22⋊C4C22×D6111yescharacteristic
1510C2×C22⋊C4C22×D6111yescharacteristic
1511C2×C22⋊C4C22×D6111yescharacteristic
1512C2×C22⋊C4C22×D6111yescharacteristic
1513C2×C22⋊C4C22×D6111yescharacteristic
1514C2×C22⋊C4C22×D6111yescharacteristic
1515C2×C22⋊C4C22×D6111yescharacteristic
1516C2×C22⋊C4C22×D6111yescharacteristic
1517C2×C22⋊C4C22×D6111yescharacteristic
1518C2×C22⋊C4C22×D6111yescharacteristic
1519C2×C42—611no—
1520C2×C42—611no—
1521C2×C42—611no—
1522C2×C42—611no—
1523C2×C42—611no—
1524C2×C42—611no—
1525C2×C42—611no—
1526C2×C42—611no—
1527C2×C42—611no—
1528C2×C42—611no—
1529C2×C42—611no—
1530C2×C42—611no—
1531C2×C42—618no—
1532C2×C42C22×D6111yescharacteristic
1533C2×C42C22×D6111yescharacteristic
1534C24—611no—
1535C24—611no—
1536C24—611no—
1537C24—611no—
1538C24—614no—
1539C24—614no—
1540C24—1224no—
1541C24—1224no—
1542C24—1224no—
1543C24—1224no—
1544C24—2442no—
1545C24—2442no—
1546C24C23×D6111yescharacteristic
1547C24C23×D6111yescharacteristic
1548C24C23×D6111yescharacteristic
1549#41—12232no—
1550#41—12232no—
1551#41—24416no—
1552#41—24416no—
1553C2×Q8—42no—
1554C2×Q8—614no—
1555C2×Q8—614no—
1556C2×Q8—614no—
1557C2×Q8—614no—
1558C2×Q8—614no—
1559C2×Q8—614no—
1560C2×Q8—614no—
1561C2×Q8—614no—
1562C2×Q8—1224no—
1563C2×Q8—1224no—
1564C2×Q8—1224no—
1565C2×Q8—1224no—
1566C2×Q8—1224no—
1567C2×Q8—2442no—
1568C2×Q8—2442no—
1569C2×Q8—2442no—
1570C2×Q8—24416no—
1571C2×Q8—24416no—
1572C2×Q8C23×D6114yes—
1573C2×D4—24no—
1574C2×D4—24no—
1575C2×D4—42no—
1576C2×D4—618no—
1577C2×D4—614no—
1578C2×D4—614no—
1579C2×D4—614no—
1580C2×D4—614no—
1581C2×D4—614no—
1582C2×D4—614no—
1583C2×D4—614no—
1584C2×D4—614no—
1585C2×D4—614no—
1586C2×D4—614no—
1587C2×D4—614no—
1588C2×D4—614no—
1589C2×D4—1224no—
1590C2×D4—1224no—
1591C2×D4—1224no—
1592C2×D4—1224no—
1593C2×D4—1224no—
1594C2×D4—12232no—
1595C2×D4—1224no—
1596C2×D4—1224no—
1597C2×D4—1224no—
1598C2×D4—2442no—
1599C2×D4—2442no—
1600C2×D4—2442no—
1601C2×D4C23×D6114yes—
1602C2×D4C23×D6114yes—
1603C2×D4C23×D6114yes—
1604C22×C4—24no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—611no—
1610C22×C4—611no—
1611C22×C4—614no—
1612C22×C4—614no—
1613C22×C4—614no—
1614C22×C4—614no—
1615C22×C4—611no—
1616C22×C4—611no—
1617C22×C4—611no—
1618C22×C4—611no—
1619C22×C4—611no—
1620C22×C4—611no—
1621C22×C4—611no—
1622C22×C4—611no—
1623C22×C4—611no—
1624C22×C4—611no—
1625C22×C4—614no—
1626C22×C4—614no—
1627C22×C4—614no—
1628C22×C4—614no—
1629C22×C4—614no—
1630C22×C4—614no—
1631C22×C4—614no—
1632C22×C4—614no—
1633C22×C4—614no—
1634C22×C4—614no—
1635C22×C4—614no—
1636C22×C4—614no—
1637C22×C4—614no—
1638C22×C4—614no—
1639C22×C4—614no—
1640C22×C4—614no—
1641C22×C4—614no—
1642C22×C4—614no—
1643C22×C4—1224no—
1644C22×C4—1224no—
1645C22×C4—1224no—
1646C22×C4—1224no—
1647C22×C4—1224no—
1648C22×C4—1224no—
1649C22×C4—1224no—
1650C22×C4—1224no—
1651C22×C4—1224no—
1652C22×C4—1224no—
1653C22×C4—1224no—
1654C22×C4—1224no—
1655C22×C4—2442no—
1656C22×C4—2442no—
1657C22×C4—2442no—
1658C22×C4—2442no—
1659C22×C4—2442no—
1660C22×C4—2442no—
1661C22×C4—2442no—
1662C22×C4—2442no—
1663C22×C4—24416no—
1664C22×C4—24416no—
1665C22×C4—2442no—
1666C22×C4—2442no—
1667C22×C4C23×D6114yes—
1668C22×C4C23×D6111yescharacteristic
1669C22×C4C23×D6111yescharacteristic
1670C22×C4C23×D6111yescharacteristic
1671C22×C4C23×D6111yescharacteristic
1672C22×C4C23×D6111yescharacteristic
1673C22×C4C23×D6111yescharacteristic
1674C22×C4C23×D6111yescharacteristic
1675C22×C4C23×D6111yescharacteristic
1676C22×C4C23×D6111yescharacteristic
1677C22×C4C23×D6111yescharacteristic
1678C22×C4C23×D6111yescharacteristic
1679C22×C4C23×D6111yescharacteristic
1680C22×C4C23×D6114yes—
1681C22×C4C23×D6114yes—
1682C22×C4C23×D6114yes—
1683C22×C4C23×D6114yes—
1684C4⋊C4—614no—
1685C4⋊C4—614no—
1686C4⋊C4—614no—
1687C4⋊C4—614no—
1688C4⋊C4—614no—
1689C4⋊C4—614no—
1690C4⋊C4—614no—
1691C4⋊C4—614no—
1692C4⋊C4—614no—
1693C4⋊C4—614no—
1694C4⋊C4—614no—
1695C4⋊C4—614no—
1696C4⋊C4—614no—
1697C4⋊C4—614no—
1698C4⋊C4—614no—
1699C4⋊C4—614no—
1700C4⋊C4—614no—
1701C4⋊C4—614no—
1702C4⋊C4—614no—
1703C4⋊C4—614no—
1704C4⋊C4—614no—
1705C4⋊C4—614no—
1706C4⋊C4—614no—
1707C4⋊C4—614no—
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⋊C4C23×D6114yes—
1717C4⋊C4C23×D6114yes—
1718C4⋊C4C23×D6114yes—
1719C4⋊C4C23×D6114yes—
1720C4⋊C4C23×D6114yes—
1721C4⋊C4C23×D6114yes—
1722C4⋊C4C23×D6114yes—
1723C4⋊C4C23×D6114yes—
1724C4⋊C4C23×D6114yes—
1725C4⋊C4C23×D6114yes—
1726C4⋊C4C23×D6114yes—
1727C4⋊C4C23×D6114yes—
1728C4⋊C4C23×D6114yes—
1729C4⋊C4C23×D6114yes—
1730C22⋊C4—614no—
1731C22⋊C4—614no—
1732C22⋊C4—614no—
1733C22⋊C4—614no—
1734C22⋊C4—614no—
1735C22⋊C4—614no—
1736C22⋊C4—614no—
1737C22⋊C4—614no—
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⋊C4C23×D6114yes—
1763C22⋊C4C23×D6114yes—
1764C22⋊C4C23×D6114yes—
1765C22⋊C4C23×D6114yes—
1766C22⋊C4C23×D6114yes—
1767C22⋊C4C23×D6114yes—
1768C22⋊C4C23×D6114yes—
1769C22⋊C4C23×D6114yes—
1770C22⋊C4C23×D6114yes—
1771C22⋊C4C23×D6114yes—
1772C42—614no—
1773C42—614no—
1774C42—614no—
1775C42—614no—
1776C42—614no—
1777C42—614no—
1778C42—614no—
1779C42—614no—
1780C42—614no—
1781C42—614no—
1782C42—614no—
1783C42—614no—
1784C42C23×D6114yes—
1785C42C23×D6114yes—
1786C23—22no—
1787C23—22no—
1788C23—22no—
1789C23—22no—
1790C23—22no—
1791C23—22no—
1792C23—22no—
1793C23—22no—
1794C23—614no—
1795C23—614no—
1796C23—612no—
1797C23—612no—
1798C23—612no—
1799C23—612no—
1800C23—1228no—
1801C23—1228no—
1802C23—1228no—
1803C23—1222no—
1804C23—1222no—
1805C23—1222no—
1806C23—1222no—
1807C23—1222no—
1808C23—1228no—
1809C23—1222no—
1810C23—1222no—
1811C23—1222no—
1812C23—1222no—
1813C23—1222no—
1814C23—2444no—
1815C23—2444no—
1816C23—24416no—
1817C23—24416no—
1818C23#41×D6114yes—
1819C23C24×D6112yes—
1820C23C24×D6112yes—
1821C23C24×D6112yes—
1822C23C24×D6111yescharacteristic
1823Q8—44no—
1824Q8—1228no—
1825Q8—1228no—
1826Q8—1228no—
1827Q8—1228no—
1828Q8—1228no—
1829Q8—2444no—
1830Q8—2444no—
1831Q8—2444no—
1832D4—28no—
1833D4—28no—
1834D4—44no—
1835D4—6116no—
1836D4—1228no—
1837D4—1228no—
1838D4—1228no—
1839D4—1228no—
1840D4—1228no—
1841D4—1228no—
1842D4—1228no—
1843D4—1228no—
1844D4—2444no—
1845D4—2444no—
1846D4—2444no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—28no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—44no—
1861C2×C4—44no—
1862C2×C4—44no—
1863C2×C4—44no—
1864C2×C4—614no—
1865C2×C4—614no—
1866C2×C4—612no—
1867C2×C4—612no—
1868C2×C4—612no—
1869C2×C4—612no—
1870C2×C4—612no—
1871C2×C4—612no—
1872C2×C4—612no—
1873C2×C4—612no—
1874C2×C4—612no—
1875C2×C4—612no—
1876C2×C4—612no—
1877C2×C4—612no—
1878C2×C4—1228no—
1879C2×C4—1228no—
1880C2×C4—1228no—
1881C2×C4—1228no—
1882C2×C4—1228no—
1883C2×C4—1228no—
1884C2×C4—1228no—
1885C2×C4—1228no—
1886C2×C4—1228no—
1887C2×C4—1228no—
1888C2×C4—1228no—
1889C2×C4—1222no—
1890C2×C4—1222no—
1891C2×C4—1222no—
1892C2×C4—1228no—
1893C2×C4—1222no—
1894C2×C4—1222no—
1895C2×C4—1222no—
1896C2×C4—1222no—
1897C2×C4—1222no—
1898C2×C4—1222no—
1899C2×C4—1222no—
1900C2×C4—2444no—
1901C2×C4—2444no—
1902C2×C4—2444no—
1903C2×C4—2444no—
1904C2×C4—2444no—
1905C2×C4—2444no—
1906C2×C4—2444no—
1907C2×C4—2444no—
1908C2×C4—2444no—
1909C2×C4—2444no—
1910C2×C4C24×D6112yes—
1911C2×C4C24×D6112yes—
1912C2×C4C24×D6112yes—
1913C2×C4C24×D6112yes—
1914C2×C4C24×D6112yes—
1915C2×C4C24×D6112yes—
1916C2×C4C24×D6112yes—
1917C2×C4C24×D6112yes—
1918C2×C4C24×D6112yes—
1919C2×C4C24×D6112yes—
1920C2×C4C24×D6112yes—
1921C2×C4C24×D6112yes—
1922C22—22no—
1923C22—22no—
1924C22—28no—
1925C22—22no—
1926C22—22no—
1927C22—22no—
1928C22—22no—
1929C22—22no—
1930C22—22no—
1931C22—44no—
1932C22—44no—
1933C22—614no—
1934C22—614no—
1935C22—1222no—
1936C22—1222no—
1937C22—1222no—
1938C22—1222no—
1939C22—1228no—
1940C22—1228no—
1941C22—1222no—
1942C22—1222no—
1943C22—1222no—
1944C22—1222no—
1945C22—1222no—
1946C22—1222no—
1947C22—24416no—
1948C22—24416no—
1949C22—2444no—
1950C22—2444no—
1951C22C2×#41×D6114yes—
1952C22C2×#41×D6112yes—
1953C22H(5,𝔽2)×D6112yes—
1954C222−1+4×D6112yes—
1955C22C25×D6111yescharacteristic
1956C4—22no—
1957C4—22no—
1958C4—22no—
1959C4—22no—
1960C4—22no—
1961C4—22no—
1962C4—22no—
1963C4—22no—
1964C4—22no—
1965C4—22no—
1966C4—22no—
1967C4—22no—
1968C4—614no—
1969C4—614no—
1970C4—1222no—
1971C4—1222no—
1972C4—1222no—
1973C4—1222no—
1974C4—1222no—
1975C4—1222no—
1976C4—1222no—
1977C4—1222no—
1978C4—1222no—
1979C4—1222no—
1980C2—24no—
1981C2—42no—
1982C2—42no—
1983C2—1224no—
1984C2—1224no—
1985C2—2442no—
1986C2—2442no—
1987C2#2145986014yesdirect product factor
1988C2C22×#41×D6111yescharacteristic
1989C2C2×H(5,𝔽2)×D6111yescharacteristic
1990C2C2×2−1+4×D6111yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#539C2
socleC23×C61C25
hypercenterC2×#539D61
hypocenterC61C2×#3520
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #21459860C2direct (N × H)
2. C2×#16840479C2semidirect
3. C2×#16840468C2semidirect
4. C2×#16840466C2semidirect
5. C2×#16840449C2semidirect
6. C2×#16840444C2semidirect
7. C2×#16840440C2semidirect
8. C2×#16840439C2semidirect
9. C2×#16840437C2semidirect
10. C2×#16840435C2semidirect
11. C2×#16840425C2semidirect
12. C2×#16840422C2semidirect
13. C2×#16840418C2semidirect
14. C2×#16840410C2semidirect
15. C2×#16840410C2semidirect
16. C2×#16840404C2semidirect
17. C2×#16840401C2semidirect
18. C2×#16840382C2semidirect
19. C2×#16840380C2semidirect
20. C2×#16840360C2semidirect
21. C2×#16840354C2semidirect
22. C2×#16840353C2semidirect
23. C2×#16840318C2semidirect
24. C2×#16840295C2semidirect
25. C2×#16840271C2semidirect
26. C2×#16840270C2semidirect
27. C22×#14519755C2semidirect
28. C2×C22⋊Q8×D61C2semidirect
29. C2×#16840243C2semidirect
30. C2×#16840241C2semidirect
31. C2×C4×D4×D61C2semidirect
32. C2×C61×#539C2semidirect
34. C22×#11758222C22semidirect
36. C22×#11758224C22semidirect
37. C23×Dic122C22semidirect
38. C22×Q8×D61C22semidirect
42. #16840479C22semidirect
43. #16840468C22semidirect
44. #16840466C22semidirect
45. #16840449C22semidirect
46. #16840444C22semidirect
47. #16840440C22semidirect
48. #16840439C22semidirect
49. #16840437C22semidirect
50. #16840435C22semidirect
51. #16840425C22semidirect
52. #16840422C22semidirect
53. #16840418C22semidirect
54. #16840410C22semidirect
55. #16840410C22semidirect
56. #16840404C22semidirect
57. #16840401C22semidirect
58. #16840382C22semidirect
59. #16840380C22semidirect
60. #16840360C22semidirect
61. #16840354C22semidirect
62. #16840353C22semidirect
63. #16840318C22semidirect
64. C2×#14519776C22semidirect
65. C2×#14519776C22semidirect
66. C2×#14519776C22semidirect
67. C2×#14519775C22semidirect
68. #16840295C22semidirect
69. C2×#14519772C22semidirect
70. C2×#14519772C22semidirect
71. C2×#14519772C22semidirect
72. C2×#14519772C22semidirect
73. C2×#14519771C22semidirect
74. C2×#14519770C22semidirect
75. C2×#14519770C22semidirect
76. C2×#14519770C22semidirect
77. C2×#14519769C22semidirect
78. C2×#14519768C22semidirect
79. C2×#14519767C22semidirect
80. C2×#14519767C22semidirect
81. C2×#14519767C22semidirect
82. C2×#14519766C22semidirect
83. C2×#14519764C22semidirect
86. C2×#14519763C22semidirect
87. C2×#14519763C22semidirect
88. C2×#14519763C22semidirect
89. #16840271C22semidirect
90. #16840270C22semidirect
94. C2×#14519762C22semidirect
95. C2×#14519762C22semidirect
96. C2×#14519762C22semidirect
97. C2×#14519761C22semidirect
98. C2×#14519761C22semidirect
99. C2×#14519760C22semidirect
101. C2×#14519759C22semidirect
102. C2×#14519759C22semidirect
103. C2×#14519759C22semidirect
106. C2×#14519757C22semidirect
107. C2×#14519757C22semidirect
108. C2×#14519756C22semidirect
116. C2×#14519755C22semidirect
117. C2×#14519755C22semidirect
118. C2×#14519755C22semidirect
119. C2×#14519755C22semidirect
120. C2×#14519755C22semidirect
121. C2×#14519755C22semidirect
122. C2×#14519755C22semidirect
123. C2×#14519755C22semidirect
124. C2×#14519755C22semidirect
125. C2×#14519754C22semidirect
126. C2×#14519754C22semidirect
127. C2×#14519754C22semidirect
128. C2×#14519754C22semidirect
129. C2×#14519754C22semidirect
130. C2×#14519754C22semidirect
132. C22⋊Q8×D61C22semidirect
137. C2×#14519750C22semidirect
140. C2×#14519749C22semidirect
145. #16840243C22semidirect
146. #16840241C22semidirect
147. C2×C4×Dic122C22semidirect
148. C2×#14519742C22semidirect
149. C2×#14519742C22semidirect
150. C2×#14519742C22semidirect
151. C2×#14519742C22semidirect
152. C2×#14519742C22semidirect
153. C2×#14519742C22semidirect
157. C2×D4×Dic61C22semidirect
161. C2×#14519739C22semidirect
162. C2×#14519739C22semidirect
167. C2×C4×C22⋊D61C22semidirect
168. C2×C4×C22⋊D61C22semidirect
169. C2×C4×C22⋊D61C22semidirect
175. C2×#14519737C22semidirect
176. C2×#14519737C22semidirect
177. C4×D4×D61C22semidirect
178. C2×#14519736C22semidirect
181. C2×#14519735C22semidirect
182. C2×#14519735C22semidirect
183. C2×#14519734C22semidirect
184. C2×#14519734C22semidirect
185. C2×#14519733C22semidirect
186. C2×#14519733C22semidirect
187. C2×#14519733C22semidirect
188. C22×#11758196C22semidirect
189. C22×#11758196C22semidirect
190. C22×#11758196C22semidirect
192. C2×C4⋊C4×D61C22semidirect
193. C2×C4⋊C4×D61C22semidirect
194. C2×C4⋊C4×D61C22semidirect
195. C2×C4⋊C4×D61C22semidirect
203. C61×#539C22semidirect
204. C2×#126×C61C22semidirect
205. C2×#126×C61C22semidirect
206. C2×#125×C61C22semidirect
207. C2×#125×C61C22semidirect
209. C2×#123×C61C22semidirect
210. C2×#123×C61C22semidirect
211. C2×#123×C61C22semidirect
212. C2×C22⋊Q8×C61C22semidirect
213. C2×C22⋊Q8×C61C22semidirect
214. C2×C22⋊Q8×C61C22semidirect
217. C2×C4×D4×C61C22semidirect
218. C22×C4⋊C4×C61C22semidirect
224. C2×#11758222C23semidirect
228. C2×#11758224C23semidirect
238. C22×Dic122C23semidirect
240. C2×Q8×D61C23semidirect
281. #14519776C23semidirect
282. #14519776C23semidirect
283. #14519776C23semidirect
284. #14519775C23semidirect
285. #14519772C23semidirect
286. #14519772C23semidirect
287. #14519772C23semidirect
288. #14519772C23semidirect
289. #14519771C23semidirect
290. #14519770C23semidirect
291. #14519770C23semidirect
292. #14519770C23semidirect
293. #14519769C23semidirect
294. #14519768C23semidirect
295. #14519767C23semidirect
296. #14519767C23semidirect
297. #14519767C23semidirect
298. #14519766C23semidirect
299. #14519764C23semidirect
302. #14519763C23semidirect
303. #14519763C23semidirect
304. #14519763C23semidirect
308. #14519762C23semidirect
309. #14519762C23semidirect
310. #14519762C23semidirect
311. #14519761C23semidirect
312. #14519761C23semidirect
313. #14519760C23semidirect
315. #14519759C23semidirect
316. #14519759C23semidirect
317. #14519759C23semidirect
320. #14519757C23semidirect
321. #14519757C23semidirect
322. #14519756C23semidirect
330. #14519755C23semidirect
331. #14519755C23semidirect
332. #14519755C23semidirect
333. #14519755C23semidirect
334. #14519755C23semidirect
335. #14519755C23semidirect
336. #14519755C23semidirect
337. #14519755C23semidirect
338. #14519754C23semidirect
339. #14519754C23semidirect
340. #14519754C23semidirect
341. #14519754C23semidirect
342. #14519754C23semidirect
343. #14519754C23semidirect
349. #14519750C23semidirect
352. #14519749C23semidirect
357. C4×Dic122C23semidirect
358. #14519742C23semidirect
359. #14519742C23semidirect
360. #14519742C23semidirect
361. #14519742C23semidirect
362. #14519742C23semidirect
363. #14519742C23semidirect
367. D4×Dic61C23semidirect
371. #14519739C23semidirect
372. #14519739C23semidirect
377. C4×C22⋊D61C23semidirect
378. C4×C22⋊D61C23semidirect
379. C4×C22⋊D61C23semidirect
385. #14519737C23semidirect
386. #14519737C23semidirect
387. #14519736C23semidirect
390. #14519735C23semidirect
391. #14519735C23semidirect
392. #14519734C23semidirect
393. #14519734C23semidirect
394. #14519733C23semidirect
395. #14519733C23semidirect
396. #14519733C23semidirect
429. C2×#11758196C23semidirect
430. C2×#11758196C23semidirect
431. C2×#11758196C23semidirect
433. C4⋊C4×D61C23semidirect
434. C4⋊C4×D61C23semidirect
435. C4⋊C4×D61C23semidirect
436. C4⋊C4×D61C23semidirect
497. #126×C61C23semidirect
498. #126×C61C23semidirect
499. #125×C61C23semidirect
500. #125×C61C23semidirect
502. #123×C61C23semidirect
503. #123×C61C23semidirect
504. #123×C61C23semidirect
505. C22⋊Q8×C61C23semidirect
506. C22⋊Q8×C61C23semidirect
507. C22⋊Q8×C61C23semidirect
510. C4×D4×C61C23semidirect
525. C2×C4⋊C4×C61C23semidirect
590. C2×C22⋊D61#41semidirect
867. C22⋊D61C2×#41semidirect
1007. C2×#539D61semidirect
1020. C2×C61#3520semidirect
1058. #539C2×D61semidirect
1073. C2×#126C2×D61semidirect
1074. C2×#126C2×D61semidirect
1080. C2×#125C2×D61semidirect
1081. C2×#125C2×D61semidirect
1106. C2×#123C2×D61semidirect
1107. C2×#123C2×D61semidirect
1108. C2×#123C2×D61semidirect
1137. C2×C22⋊Q8C2×D61semidirect
1138. C2×C22⋊Q8C2×D61semidirect
1139. C2×C22⋊Q8C2×D61semidirect
1187. C2×C4×D4C2×D61semidirect
1206. C22×C4⋊C4C2×D61semidirect
1214. C61C2×#3520semidirect
1298. #126C22×D61semidirect
1299. #126C22×D61semidirect
1305. #125C22×D61semidirect
1306. #125C22×D61semidirect
1329. #123C22×D61semidirect
1330. #123C22×D61semidirect
1331. #123C22×D61semidirect
1358. C22⋊Q8C22×D61semidirect
1359. C22⋊Q8C22×D61semidirect
1360. C22⋊Q8C22×D61semidirect
1405. C4×D4C22×D61semidirect
1470. C2×C4⋊C4C22×D61semidirect
1987. C2#21459860direct (N × H)

Maximal subgroups

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

subgroupindex
#214598602
C2×#168404792
C2×#168404682
C2×#168404662
C2×#168404492
C2×#168404442
C2×#168404402
C2×#168404392
C2×#168404372
C2×#168404352
C2×#168404252
C2×#168404222
C2×#168404182
C2×#168404102
C2×#168404042
C2×#168404012
C2×#168403822
C2×#168403802
C2×#168403602
C2×#168403542
C2×#168403532
C2×#168403182
C2×#168402952
C2×#168402712
C2×#168402702
C22×#145197552
C2×C22⋊Q8×D612
C2×#168402432
C2×#168402412
C2×C4×D4×D612
C2×C61×#5392
C2×#352061