Finite Group Databasebeta

← C2×#21459986 #30587275

Subgroups — C2×#21459986 #30587275

Order 15616.

7430 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#21459986C2132yesmaximal, direct product factor
2C2×#16840514C211yesmaximal, characteristic, complemented
3C2×#16840509C211yesmaximal, characteristic, complemented
4C2×#16840508C211yesmaximal, characteristic, complemented
5C2×#16840501C211yesmaximal, characteristic, complemented
6C2×#16840494C211yesmaximal, characteristic, complemented
7C2×#16840463C211yesmaximal, characteristic, complemented
8C2×#16840461C211yesmaximal, characteristic, complemented
9C2×#16840448C211yesmaximal, characteristic, complemented
10C2×#16840446C211yesmaximal, characteristic, complemented
11C2×#16840442C211yesmaximal, characteristic, complemented
12C2×#16840438C211yesmaximal, characteristic, complemented
13C2×#16840437C211yesmaximal, characteristic, complemented
14C2×#16840417C211yesmaximal, characteristic, complemented
15C2×#16840410C211yesmaximal, characteristic, complemented
16C2×#16840402C211yesmaximal, characteristic, complemented
17C2×#16840399C211yesmaximal, characteristic, complemented
18C2×#16840381C211yesmaximal, characteristic, complemented
19C2×#16840377C211yesmaximal, characteristic, complemented
20C2×#16840365C211yesmaximal, characteristic, complemented
21C2×#16840362C211yesmaximal, characteristic, complemented
22C2×#16840357C211yesmaximal, characteristic, complemented
23C2×#16840355C211yesmaximal, characteristic, complemented
24C2×#16840347C211yesmaximal, characteristic, complemented
25C2×#16840346C211yesmaximal, characteristic, complemented
26C2×#16840344C211yesmaximal, characteristic, complemented
27C2×#16840328C211yesmaximal, characteristic, complemented
28C2×#16840322C211yesmaximal, characteristic, complemented
29C2×#16840272C211yesmaximal, characteristic, complemented
30C2×#16840271C211yesmaximal, characteristic, complemented
31C2×#123×D61C211yesmaximal, characteristic, complemented
32C2×C61×#538C211yesmaximal, characteristic, complemented
33C22×#11758222C2211yescharacteristic
34C22×#11758222C2211yescharacteristic, complemented
35C22×#11758224C2211yescharacteristic
36C23×C22⋊D61C2211yescharacteristic
37C22×D4×D61C2211yescharacteristic
38C23×C4×D61C2211yescharacteristic, complemented
39#16840514C22116yescomplemented
40#16840509C22116yescomplemented
41#16840508C22116yescomplemented
42#16840501C22116yescomplemented
43#16840494C22116yescomplemented
44#16840463C22116yescomplemented
45#16840461C22116yescomplemented
46#16840448C22116yescomplemented
47#16840446C22116yescomplemented
48#16840442C22116yescomplemented
49#16840438C22116yescomplemented
50#16840437C22116yescomplemented
51#16840417C22116yescomplemented
52#16840410C22116yescomplemented
53#16840402C22116yescomplemented
54#16840399C22116yescomplemented
55#16840381C22116yescomplemented
56#16840377C22116yescomplemented
57#16840365C22116yescomplemented
58#16840362C22116yescomplemented
59#16840357C22116yescomplemented
60#16840355C22116yescomplemented
61#16840347C22116yescomplemented
62#16840346C22116yescomplemented
63#16840344C22116yescomplemented
64#16840328C22116yescomplemented
65#16840322C22116yescomplemented
66C2×#14519777C2211yescharacteristic, complemented
67C2×#14519776C2211yescharacteristic, complemented
68C2×#14519773C2211yescharacteristic
69C2×#14519773C2211yescharacteristic, complemented
70C2×#14519772C2211yescharacteristic, complemented
71C2×#14519771C2211yescharacteristic, complemented
72C2×#14519770C2211yescharacteristic, complemented
73C2×#14519770C2211yescharacteristic, complemented
74C2×#14519770C2211yescharacteristic, complemented
75C2×#14519770C2211yescharacteristic, complemented
76C2×#14519770C2211yescharacteristic, complemented
77C2×#14519770C2211yescharacteristic, complemented
78C2×#14519770C2211yescharacteristic, complemented
79C2×#14519770C2211yescharacteristic, complemented
80C2×#14519768C2211yescharacteristic, complemented
81C2×#14519768C2211yescharacteristic, complemented
82C2×#14519767C2211yescharacteristic, complemented
83C2×#14519767C2211yescharacteristic, complemented
84C2×#14519767C2211yescharacteristic, complemented
85C2×#14519767C2211yescharacteristic, complemented
86C2×#14519766C2211yescharacteristic, complemented
87C2×#14519764C2211yescharacteristic, complemented
88C2×#14519763C2211yescharacteristic
89C2×#14519763C2211yescharacteristic, complemented
90C2×#14519763C2211yescharacteristic, complemented
91C2×#14519763C2211yescharacteristic, complemented
92C2×#14519763C2211yescharacteristic, complemented
93C2×#14519763C2211yescharacteristic, complemented
94#16840272C22116yescomplemented
95#16840271C22116yescomplemented
96C2×#14519762C2211yescharacteristic, complemented
97C2×#14519762C2211yescharacteristic, complemented
98C2×#14519762C2211yescharacteristic, complemented
99C2×#14519762C2211yescharacteristic, complemented
100C2×#14519761C2211yescharacteristic
101C2×#14519761C2211yescharacteristic, complemented
102C2×#14519761C2211yescharacteristic, complemented
103C2×#14519761C2211yescharacteristic, complemented
104C2×#14519761C2211yescharacteristic, complemented
105C2×#14519760C2211yescharacteristic, complemented
106C2×#14519760C2211yescharacteristic, complemented
107C2×#14519760C2211yescharacteristic, complemented
108C2×#14519759C2211yescharacteristic
109C2×#14519759C2211yescharacteristic
110C2×#14519759C2211yescharacteristic
111C2×#14519759C2211yescharacteristic
112C2×#14519759C2211yescharacteristic
113C2×#14519759C2211yescharacteristic
114C2×#14519759C2211yescharacteristic, complemented
115C2×#14519759C2211yescharacteristic, complemented
116C2×#14519759C2211yescharacteristic, complemented
117C2×#14519759C2211yescharacteristic, complemented
118C2×#14519759C2211yescharacteristic, complemented
119C2×#14519759C2211yescharacteristic, complemented
120C2×#14519758C2211yescharacteristic
121C2×#14519758C2211yescharacteristic
122C2×#14519758C2211yescharacteristic, complemented
123C2×#14519758C2211yescharacteristic, complemented
124#123×D61C22116yescomplemented
125C2×#14519757C2211yescharacteristic, complemented
126C2×#14519757C2211yescharacteristic, complemented
127C2×#14519756C2211yescharacteristic, complemented
128C2×#14519756C2211yescharacteristic, complemented
129C2×#14519756C2211yescharacteristic, complemented
130C2×#14519755C2211yescharacteristic, complemented
131C2×#14519755C2211yescharacteristic, complemented
132C2×#14519755C2211yescharacteristic, complemented
133C2×#14519754C2211yescharacteristic, complemented
134C2×#14519754C2211yescharacteristic, complemented
135C2×#14519754C2211yescharacteristic, complemented
136C2×#14519754C2211yescharacteristic, complemented
137C2×#14519754C2211yescharacteristic, complemented
138C2×#14519753C2211yescharacteristic, complemented
139C2×#14519753C2211yescharacteristic, complemented
140C2×#14519752C2211yescharacteristic, complemented
141C2×#14519751C2211yescharacteristic, complemented
142C2×#14519751C2211yescharacteristic, complemented
143C2×#14519750C2211yescharacteristic
144C2×#14519750C2211yescharacteristic
145C2×#14519750C2211yescharacteristic
146C2×#14519750C2211yescharacteristic, complemented
147C2×#14519750C2211yescharacteristic, complemented
148C2×#14519750C2211yescharacteristic, complemented
149C2×#14519749C2211yescharacteristic, complemented
150C2×#14519749C2211yescharacteristic, complemented
151C2×#14519749C2211yescharacteristic, complemented
152C2×#14519749C2211yescharacteristic, complemented
153C2×#14519749C2211yescharacteristic, complemented
154C2×#14519749C2211yescharacteristic, complemented
155C2×#14519748C2211yescharacteristic
156C2×#14519748C2211yescharacteristic
157C2×#14519748C2211yescharacteristic
158C2×#14519748C2211yescharacteristic
159C2×#14519748C2211yescharacteristic, complemented
160C2×#14519748C2211yescharacteristic, complemented
161C2×#14519747C2211yescharacteristic
162C2×#14519747C2211yescharacteristic, complemented
163C2×#14519746C2211yescharacteristic
164C2×#14519746C2211yescharacteristic, complemented
165C2×#14519745C2211yescharacteristic
166C2×#14519745C2211yescharacteristic
167C2×#14519745C2211yescharacteristic
168C2×#14519745C2211yescharacteristic, complemented
169C2×Q8×Dic61C2211yescharacteristic, complemented
170C2×C4×Dic122C2211yescharacteristic, complemented
171C2×C4×D244C2211yescharacteristic, complemented
172C2×C4×D244C2211yescharacteristic, complemented
173C2×D4×Dic61C2211yescharacteristic, complemented
174C2×D4×Dic61C2211yescharacteristic, complemented
175C2×D4×Dic61C2211yescharacteristic, complemented
176C2×#14519739C2211yescharacteristic, complemented
177C2×C4×C22⋊D61C2211yescharacteristic
178C2×C4×C22⋊D61C2211yescharacteristic, complemented
179C2×C4×C22⋊D61C2211yescharacteristic, complemented
180C2×#14519737C2211yescharacteristic
181C2×#14519737C2211yescharacteristic, complemented
182C2×#14519737C2211yescharacteristic, complemented
183C2×#14519737C2211yescharacteristic, complemented
184C2×#14519737C2211yescharacteristic, complemented
185C2×#14519737C2211yescharacteristic, complemented
186C2×#14519737C2211yescharacteristic, complemented
187C2×#14519736C2211yescharacteristic, complemented
188C2×#14519735C2211yescharacteristic, complemented
189C2×#14519735C2211yescharacteristic, complemented
190C2×#14519734C2211yescharacteristic, complemented
191C2×#14519734C2211yescharacteristic, complemented
192C2×#14519734C2211yescharacteristic, complemented
193C2×#14519733C2211yescharacteristic, complemented
194C22×#11758196C2211yescharacteristic, complemented
195C2×C4⋊C4×D61C2211yescharacteristic, complemented
196C2×C4⋊C4×D61C2211yescharacteristic, complemented
197C2×C4⋊C4×D61C2211yescharacteristic, complemented
198C22×C22⋊Dic61C2211yescharacteristic, complemented
199C2×C22⋊C4×D61C2211yescharacteristic
200C2×C22⋊C4×D61C2211yescharacteristic
201C2×C22⋊C4×D61C2211yescharacteristic
202C2×C22⋊C4×D61C2211yescharacteristic, complemented
203C61×#538C22116yescomplemented
204C2×#126×C61C2211yescharacteristic, complemented
205C2×#126×C61C2211yescharacteristic, complemented
206C2×#124×C61C2211yescharacteristic, complemented
207C2×#124×C61C2211yescharacteristic, complemented
208C2×#123×C61C2211yescharacteristic
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×#11758222—44no—
223C2×#11758222C2318yes—
224C2×#11758222C2318yescomplemented
225C2×#11758224—44no—
226C2×#11758224C2318yes—
227C22×Dic122C2311yescharacteristic
228C22×Dic122C2311yescharacteristic
229C22×Dic122C2311yescharacteristic
230C22×Dic122C2311yescharacteristic
231C22×D244C2311yescharacteristic
232C22×D244C2311yescharacteristic
233C22×D244C2311yescharacteristic
234C22×D244C2311yescharacteristic
235C22×C22⋊D61—44no—
236C22×C22⋊D61C2311yescharacteristic
237C22×C22⋊D61C2311yescharacteristic
238C22×C22⋊D61C2311yescharacteristic
239C22×C22⋊D61C2311yescharacteristic
240C22×C22⋊D61C2311yescharacteristic
241C22×C22⋊D61C2311yescharacteristic
242C22×C22⋊D61C2311yescharacteristic
243C22×C22⋊D61C2311yescharacteristic
244C22×C22⋊D61C2311yescharacteristic
245C22×C22⋊D61C2311yescharacteristic
246C22×C22⋊D61C2311yescharacteristic
247C22×C22⋊D61C2311yescharacteristic
248C22×C22⋊D61C2311yescharacteristic
249C22×C22⋊D61C2311yescharacteristic
250C22×C22⋊D61C2311yescharacteristic
251C22×C22⋊D61C2311yescharacteristic
252C22×C22⋊D61C2318yes—
253C2×D4×D61—44no—
254C2×D4×D61C2318yes—
255C23×Dic61C2311yescharacteristic
256C23×Dic61C2311yescharacteristic
257C23×Dic61C2311yescharacteristic
258C23×Dic61C2311yescharacteristic
259C23×Dic61C2311yescharacteristic
260C23×Dic61C2311yescharacteristic
261C22×C4×D61—44no—
262C22×C4×D61C2311yescharacteristic
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×D61C2318yescomplemented
275#14519777C2318yescomplemented
276#14519776C2318yescomplemented
277#14519773C2318yes—
278#14519773C2318yescomplemented
279#14519772C2318yescomplemented
280#14519771C2318yescomplemented
281#14519770C2318yescomplemented
282#14519770C2318yescomplemented
283#14519770C2318yescomplemented
284#14519770C2318yescomplemented
285#14519770C2318yescomplemented
286#14519770C2318yescomplemented
287#14519770C2318yescomplemented
288#14519770C2318yescomplemented
289#14519768C2318yescomplemented
290#14519768C2318yescomplemented
291#14519767C2318yescomplemented
292#14519767C2318yescomplemented
293#14519767C2318yescomplemented
294#14519767C2318yescomplemented
295#14519766C2318yescomplemented
296#14519764C2318yescomplemented
297#14519763C2318yes—
298#14519763C2318yescomplemented
299#14519763C2318yescomplemented
300#14519763C2318yescomplemented
301#14519763C2318yescomplemented
302#14519763C2318yescomplemented
303#14519762C2318yescomplemented
304#14519762C2318yescomplemented
305#14519762C2318yescomplemented
306#14519762C2318yescomplemented
307#14519761C2318yes—
308#14519761C2318yescomplemented
309#14519761C2318yescomplemented
310#14519761C2318yescomplemented
311#14519761C2318yescomplemented
312#14519760C2318yescomplemented
313#14519760C2318yescomplemented
314#14519760C2318yescomplemented
315#14519759C2318yes—
316#14519759C2318yes—
317#14519759C2318yes—
318#14519759C2318yes—
319#14519759C2318yes—
320#14519759C2318yes—
321#14519759C2318yescomplemented
322#14519759C2318yescomplemented
323#14519759C2318yescomplemented
324#14519759C2318yescomplemented
325#14519759C2318yescomplemented
326#14519759C2318yescomplemented
327#14519758C2318yes—
328#14519758C2318yes—
329#14519758C2318yescomplemented
330#14519758C2318yescomplemented
331#14519757C2318yescomplemented
332#14519757C2318yescomplemented
333#14519756C2318yescomplemented
334#14519756C2318yescomplemented
335#14519756C2318yescomplemented
336#14519755C2318yescomplemented
337#14519755C2318yescomplemented
338#14519755C2318yescomplemented
339#14519754C2318yescomplemented
340#14519754C2318yescomplemented
341#14519754C2318yescomplemented
342#14519754C2318yescomplemented
343#14519754C2318yescomplemented
344#14519753C2318yescomplemented
345#14519753C2318yescomplemented
346#14519752C2318yescomplemented
347#14519751C2318yescomplemented
348#14519751C2318yescomplemented
349#14519750C2318yes—
350#14519750C2318yes—
351#14519750C2318yes—
352#14519750C2318yescomplemented
353#14519750C2318yescomplemented
354#14519750C2318yescomplemented
355#14519749C2318yescomplemented
356#14519749C2318yescomplemented
357#14519749C2318yescomplemented
358#14519749C2318yescomplemented
359#14519749C2318yescomplemented
360#14519749C2318yescomplemented
361#14519748C2318yes—
362#14519748C2318yes—
363#14519748C2318yes—
364#14519748C2318yes—
365#14519748C2318yescomplemented
366#14519748C2318yescomplemented
367#14519747C2318yes—
368#14519747C2318yescomplemented
369#14519746C2318yes—
370#14519746C2318yescomplemented
371#14519745C2318yes—
372#14519745C2318yes—
373#14519745C2318yes—
374#14519745C2318yescomplemented
375Q8×Dic61C2318yescomplemented
376C4×Dic122C2318yescomplemented
377C4×D244C2318yescomplemented
378C4×D244C2318yescomplemented
379D4×Dic61C2318yescomplemented
380D4×Dic61C2318yescomplemented
381D4×Dic61C2318yescomplemented
382#14519739C2318yescomplemented
383C4×C22⋊D61C2318yes—
384C4×C22⋊D61C2318yescomplemented
385C4×C22⋊D61C2318yescomplemented
386#14519737C2318yes—
387#14519737C2318yescomplemented
388#14519737C2318yescomplemented
389#14519737C2318yescomplemented
390#14519737C2318yescomplemented
391#14519737C2318yescomplemented
392#14519737C2318yescomplemented
393#14519736C2318yescomplemented
394#14519735C2318yescomplemented
395#14519735C2318yescomplemented
396#14519734C2318yescomplemented
397#14519734C2318yescomplemented
398#14519734C2318yescomplemented
399#14519733C2318yescomplemented
400C2×C4⋊Dic61C2311yescharacteristic
401C2×C4⋊Dic61C2311yescharacteristic
402C2×C4⋊Dic61C2311yescharacteristic
403C2×C4⋊Dic61C2311yescharacteristic
404C2×C4⋊Dic61C2311yescharacteristic
405C2×C4⋊Dic61C2311yescharacteristic
406C2×C4⋊Dic61C2311yescharacteristic
407C2×C4⋊Dic61C2311yescharacteristic
408C2×C4⋊Dic61C2311yescharacteristic
409C2×C4⋊Dic61C2311yescharacteristic
410C2×C4⋊Dic61C2311yescharacteristic
411C2×C4⋊Dic61C2311yescharacteristic
412C2×#11758196C2311yescharacteristic
413C2×#11758196C2311yescharacteristic
414C2×#11758196C2311yescharacteristic
415C2×#11758196C2311yescharacteristic
416C2×#11758196C2311yescharacteristic
417C2×#11758196C2311yescharacteristic
418C2×#11758196C2311yescharacteristic
419C2×#11758196C2311yescharacteristic
420C2×#11758196C2311yescharacteristic
421C2×#11758196C2311yescharacteristic
422C2×#11758196C2311yescharacteristic
423C2×#11758196C2311yescharacteristic
424C2×#11758196C2311yescharacteristic
425C2×#11758196C2311yescharacteristic
426C2×#11758196C2311yescharacteristic
427C2×#11758196C2311yescharacteristic
428C2×#11758196C2311yescharacteristic
429C2×#11758196C2311yescharacteristic
430C2×#11758196C2311yescharacteristic
431C2×#11758196C2311yescharacteristic
432C2×#11758196C2318yescomplemented
433C4⋊C4×D61C2318yescomplemented
434C4⋊C4×D61C2318yescomplemented
435C4⋊C4×D61C2318yescomplemented
436C2×C22⋊Dic61C2311yescharacteristic
437C2×C22⋊Dic61C2311yescharacteristic
438C2×C22⋊Dic61C2311yescharacteristic
439C2×C22⋊Dic61C2311yescharacteristic
440C2×C22⋊Dic61C2311yescharacteristic
441C2×C22⋊Dic61C2311yescharacteristic
442C2×C22⋊Dic61C2311yescharacteristic
443C2×C22⋊Dic61C2311yescharacteristic
444C2×C22⋊Dic61C2311yescharacteristic
445C2×C22⋊Dic61C2311yescharacteristic
446C2×C22⋊Dic61C2311yescharacteristic
447C2×C22⋊Dic61C2311yescharacteristic
448C2×C22⋊Dic61C2311yescharacteristic
449C2×C22⋊Dic61C2311yescharacteristic
450C2×C22⋊Dic61C2311yescharacteristic
451C2×C22⋊Dic61C2311yescharacteristic
452C2×C22⋊Dic61C2318yescomplemented
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
471C2×#11758198C2311yescharacteristic
472C2×#11758198C2311yescharacteristic
473C22⋊C4×D61C2318yes—
474C22⋊C4×D61C2318yes—
475C22⋊C4×D61C2318yes—
476C22⋊C4×D61C2318yescomplemented
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×C61C2318yescomplemented
501#124×C61C2318yescomplemented
502#123×C61C2318yes—
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—24no—
545C23×D61—24no—
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—24no—
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—416no—
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—42no—
624C22×Dic61—42no—
625C22×Dic61—42no—
626C22×Dic61—42no—
627C22×Dic61—42no—
628C22×Dic61—42no—
629C22×Dic61C2411yescharacteristic
630C22×Dic61C2411yescharacteristic
631C22×Dic61C2411yescharacteristic
632C22×Dic61C2411yescharacteristic
633C22×Dic61C2411yescharacteristic
634C22×Dic61C2411yescharacteristic
635C22×Dic61C2411yescharacteristic
636C22×Dic61C2411yescharacteristic
637C22×Dic61C2411yescharacteristic
638C22×Dic61C2411yescharacteristic
639C22×Dic61C2411yescharacteristic
640C22×Dic61C2411yescharacteristic
641C22×Dic61C2414yes—
642C22×Dic61C2414yes—
643C22×Dic61C2414yes—
644C22×Dic61C2414yes—
645C22×Dic61C2414yes—
646C22×Dic61C2414yes—
647#11758224—416no—
648D4×D61—416no—
649#11758222—416no—
650#11758222—416no—
651C2×D244—24no—
652C2×D244—42no—
653C2×D244—42no—
654C2×D244—42no—
655C2×D244C2414yes—
656C2×D244C2414yes—
657C2×D244C2414yes—
658C2×D244C2414yes—
659C2×C4×D61—24no—
660C2×C4×D61—24no—
661C2×C4×D61—24no—
662C2×C4×D61—416no—
663C2×C4×D61—42no—
664C2×C4×D61—42no—
665C2×C4×D61—42no—
666C2×C4×D61—42no—
667C2×C4×D61—42no—
668C2×C4×D61—42no—
669C2×C4×D61—42no—
670C2×C4×D61—42no—
671C2×C4×D61—42no—
672C2×C4×D61C2414yes—
673C2×C4×D61C2414yes—
674C2×C4×D61C2414yes—
675C2×C4×D61C2414yes—
676C2×C4×D61C2414yes—
677C2×C4×D61C2414yes—
678C2×C4×D61C2414yes—
679C2×C4×D61C2414yes—
680C2×C4×D61C2414yes—
681C2×C4×D61C2414yes—
682C2×C4×D61C2414yes—
683C2×C4×D61C2414yes—
684C2×Dic122—42no—
685C2×Dic122—42no—
686C2×Dic122—42no—
687C2×Dic122—42no—
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—
750C4⋊Dic61C2414yes—
751C4⋊Dic61C2414yes—
752C4⋊Dic61C2414yes—
753C4⋊Dic61C2414yes—
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—
778#11758196C2414yes—
779#11758196C2414yes—
780#11758196C2414yes—
781#11758196C2414yes—
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—28no—
827C22×D61—28no—
828C22×D61—44no—
829C22×D61—44no—
830C22×D61—44no—
831C22×D61—44no—
832C22×D61—416no—
833C22×D61—88no—
834C22×D61H(5,𝔽2)14yes—
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—28no—
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—22no—
899C2×Dic61—44no—
900C2×Dic61—44no—
901C2×Dic61—44no—
902C2×Dic61—44no—
903C2×Dic61—44no—
904C2×Dic61—44no—
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—28no—
918D244—44no—
919D244—44no—
920D244—44no—
921C4×D61—28no—
922C4×D61—28no—
923C4×D61—28no—
924C4×D61—44no—
925C4×D61—44no—
926C4×D61—44no—
927C4×D61—44no—
928C4×D61—44no—
929C4×D61—44no—
930C4×D61—44no—
931C4×D61—44no—
932C4×D61—44no—
933Dic122—44no—
934Dic122—44no—
935Dic122—44no—
936Dic122—44no—
937C2×#3533—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—28no—
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—88no—
980C2×D61C2×H(5,𝔽2)14yes—
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—
1002Dic61—22no—
1003#3533—6132no—
1004C2×#563—611no—
1005C2×#562—611no—
1006C2×#562—611no—
1007C2×#560—611no—
1008C2×#559—611no—
1009C2×#553—611no—
1010C2×#553—611no—
1011C2×#552—611no—
1012C2×#552—611no—
1013C2×#551—611no—
1014C2×#551—611no—
1015C2×#551—611no—
1016C2×#547—611no—
1017C2×#547—611no—
1018C2×#546—611no—
1019C2×#546—611no—
1020C2×#542—611no—
1021C2×#542—611no—
1022C2×#540—611no—
1023C2×#540—611no—
1024C2×#539—611no—
1025C2×#539—611no—
1026C2×#538—611no—
1027C2×#538—611no—
1028C2×#538—611no—
1029C2×#538D6111yescharacteristic, complemented
1030C2×#535—611no—
1031C2×#534—611no—
1032C2×#525—611no—
1033C2×#525—611no—
1034C22×#123—611no—
1035C2×C61—42no—
1036C2×C61—42no—
1037C2×C61—42no—
1038C2×C61—42no—
1039C2×C61—42no—
1040C2×C61#353314yescomplemented
1041C2×C61C22×H(5,𝔽2)11yescharacteristic
1042C2×C61C2×#58511yescharacteristic
1043C2×C61C2×#58511yescharacteristic
1044D61—24no—
1045D61—42no—
1046D61—42no—
1047D61—42no—
1048C22×#41—611no—
1049C22×#41—611no—
1050C22×#41—611no—
1051C23×D4—611no—
1052C23×D4—611no—
1053C24×C4—611no—
1054#563—6116no—
1055#562—6116no—
1056#562—6116no—
1057#560—6116no—
1058#559—6116no—
1059#553—6116no—
1060#553—6116no—
1061#552—6116no—
1062#552—6116no—
1063#551—6116no—
1064#551—6116no—
1065#551—6116no—
1066#547—6116no—
1067#547—6116no—
1068#546—6116no—
1069#546—6116no—
1070#542—6116no—
1071#542—6116no—
1072#540—6116no—
1073#540—6116no—
1074#539—6116no—
1075#539—6116no—
1076#538—6116no—
1077#538—6116no—
1078#538—6116no—
1079#538C2×D61116yescomplemented
1080#535—6116no—
1081#534—6116no—
1082C2×C4⋊Q8—611no—
1083C2×C4⋊Q8—611no—
1084C2×#127—611no—
1085C2×#127—611no—
1086C2×#126—611no—
1087C2×#126—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×#126C2×D6111yescharacteristic, complemented
1097C2×#126C2×D6111yescharacteristic, complemented
1098C2×#125—611no—
1099C2×#125—611no—
1100C2×#125—611no—
1101C2×#125—611no—
1102C2×#125—611no—
1103C2×#125—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×#124C2×D6111yescharacteristic, complemented
1113C2×#124C2×D6111yescharacteristic, complemented
1114#525—6116no—
1115#525—6116no—
1116C2×#123—611no—
1117C2×#123—611no—
1118C2×#123—611no—
1119C2×#123—611no—
1120C2×#123—611no—
1121C2×#123—611no—
1122C2×#123—611no—
1123C2×#123—6116no—
1124C2×#123—611no—
1125C2×#123—611no—
1126C2×#123—611no—
1127C2×#123—611no—
1128C2×#123—611no—
1129C2×#123—611no—
1130C2×#123—611no—
1131C2×#123—611no—
1132C2×#123—611no—
1133C2×#123—611no—
1134C2×#123—611no—
1135C2×#123—611no—
1136C2×#123—611no—
1137C2×#123—611no—
1138C2×#123—611no—
1139C2×#123—611no—
1140C2×#123—611no—
1141C2×#123—611no—
1142C2×#123—611no—
1143C2×#123—611no—
1144C2×#123—611no—
1145C2×#123C2×D6111yescharacteristic
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×#121—611no—
1181C2×#121—611no—
1182C2×#121—611no—
1183C2×#121—611no—
1184C2×#121C2×D6111yescharacteristic
1185C2×#121C2×D6111yescharacteristic, complemented
1186C2×#121C2×D6111yescharacteristic, complemented
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×D4—611no—
1200C2×C4×D4—611no—
1201C2×C4×D4—611no—
1202C2×C4×D4—611no—
1203C2×C4×D4—611no—
1204C2×C4×D4—611no—
1205C2×C4×D4—611no—
1206C2×C4×D4—611no—
1207C2×C4×D4—611no—
1208C2×C4×D4—611no—
1209C2×C4×D4—611no—
1210C2×C4×D4—611no—
1211C2×C4×D4—611no—
1212C2×C4×D4—611no—
1213C2×C4×D4—611no—
1214C2×C4×D4—611no—
1215C2×C4×D4C2×D6111yescharacteristic, complemented
1216C2×C4×D4C2×D6111yescharacteristic, complemented
1217C2×#117—611no—
1218C2×#117—611no—
1219C2×#117—611no—
1220C2×#117—611no—
1221C2×#117—611no—
1222C2×#117—611no—
1223C2×#117—611no—
1224C22×C4⋊C4—611no—
1225C22×C4⋊C4—611no—
1226C22×C4⋊C4—611no—
1227C22×C4⋊C4—611no—
1228C22×C22⋊C4—611no—
1229C22×C22⋊C4—611no—
1230C22×C22⋊C4—611no—
1231C22×C22⋊C4—611no—
1232C22×C22⋊C4—611no—
1233C22×C22⋊C4C2×D6111yescharacteristic, complemented
1234C61C2×#353311yescharacteristic, 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×Q8C22×D6111yescharacteristic
1249C22×D4—611no—
1250C22×D4—611no—
1251C22×D4—611no—
1252C22×D4—611no—
1253C22×D4—611no—
1254C22×D4—611no—
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—618no—
1266C22×D4—618no—
1267C22×D4—611no—
1268C22×D4—611no—
1269C22×D4—611no—
1270C22×D4—611no—
1271C22×D4—2444no—
1272C22×D4—2444no—
1273C22×D4C22×D6111yescharacteristic
1274C22×D4C22×D6111yescharacteristic
1275C22×D4C22×D6111yescharacteristic
1276C22×D4C22×D6111yescharacteristic
1277C22×D4C22×D6111yescharacteristic
1278C22×D4C22×D6111yescharacteristic
1279C22×D4C22×D6111yescharacteristic
1280C23×C4—611no—
1281C23×C4—611no—
1282C23×C4—611no—
1283C23×C4—611no—
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—
1306#127—618no—
1307#127—618no—
1308#126—618no—
1309#126—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#126C22×D6118yescomplemented
1319#126C22×D6118yescomplemented
1320#125—618no—
1321#125—618no—
1322#125—618no—
1323#125—618no—
1324#125—618no—
1325#125—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#124C22×D6118yescomplemented
1335#124C22×D6118yescomplemented
1336#123—618no—
1337#123—618no—
1338#123—618no—
1339#123—618no—
1340#123—618no—
1341#123—618no—
1342#123—618no—
1343#123—618no—
1344#123—618no—
1345#123—618no—
1346#123—618no—
1347#123—618no—
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×D6118yes—
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#121—618no—
1400#121—618no—
1401#121—618no—
1402#121—618no—
1403#121C22×D6118yes—
1404#121C22×D6118yescomplemented
1405#121C22×D6118yescomplemented
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×D4—618no—
1419C4×D4—618no—
1420C4×D4—618no—
1421C4×D4—618no—
1422C4×D4—618no—
1423C4×D4—618no—
1424C4×D4—618no—
1425C4×D4—618no—
1426C4×D4—618no—
1427C4×D4—618no—
1428C4×D4—618no—
1429C4×D4—618no—
1430C4×D4—618no—
1431C4×D4—618no—
1432C4×D4—618no—
1433C4×D4—618no—
1434C4×D4C22×D6118yescomplemented
1435C4×D4C22×D6118yescomplemented
1436#117—618no—
1437#117—618no—
1438#117—618no—
1439#117—618no—
1440#117—618no—
1441#117—618no—
1442#117—618no—
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—611no—
1452C2×C4⋊C4—611no—
1453C2×C4⋊C4—611no—
1454C2×C4⋊C4—611no—
1455C2×C4⋊C4—618no—
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⋊C4—611no—
1474C2×C4⋊C4—611no—
1475C2×C4⋊C4—611no—
1476C2×C4⋊C4—618no—
1477C2×C4⋊C4—618no—
1478C2×C4⋊C4—618no—
1479C2×C4⋊C4C22×D6111yescharacteristic
1480C2×C4⋊C4C22×D6111yescharacteristic
1481C2×C4⋊C4C22×D6111yescharacteristic
1482C2×C4⋊C4C22×D6111yescharacteristic
1483C2×C4⋊C4C22×D6111yescharacteristic
1484C2×C4⋊C4C22×D6111yescharacteristic
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—618no—
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—611no—
1521C2×C22⋊C4—611no—
1522C2×C22⋊C4—618no—
1523C2×C22⋊C4—618no—
1524C2×C22⋊C4—618no—
1525C2×C22⋊C4—618no—
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×D6111yescharacteristic
1537C2×C22⋊C4C22×D6111yescharacteristic
1538C2×C22⋊C4C22×D6111yescharacteristic
1539C2×C22⋊C4C22×D6111yescharacteristic
1540C2×C22⋊C4C22×D6118yescomplemented
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—1224no—
1561C24—1224no—
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—2442no—
1581C2×Q8—2442no—
1582C2×Q8—2442no—
1583C2×Q8—2442no—
1584C2×Q8C23×D6114yes—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—614no—
1593C2×D4—614no—
1594C2×D4—614no—
1595C2×D4—614no—
1596C2×D4—614no—
1597C2×D4—614no—
1598C2×D4—614no—
1599C2×D4—614no—
1600C2×D4—614no—
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—1224no—
1613C2×D4—1224no—
1614C2×D4—1224no—
1615C2×D4—1224no—
1616C2×D4—2442no—
1617C2×D4—2442no—
1618C2×D4—2442no—
1619C2×D4—24416no—
1620C2×D4—2442no—
1621C2×D4—2442no—
1622C2×D4—2442no—
1623C2×D4—2442no—
1624C2×D4—2442no—
1625C2×D4—2442no—
1626C2×D4—2442no—
1627C2×D4—2442no—
1628C2×D4—2442no—
1629C2×D4—2442no—
1630C2×D4—2442no—
1631C2×D4—2442no—
1632C2×D4—2442no—
1633C2×D4—24416no—
1634C2×D4C23×D6114yes—
1635C2×D4C23×D6114yes—
1636C2×D4C23×D6114yes—
1637C2×D4C23×D6114yes—
1638C2×D4C23×D6114yes—
1639C2×D4C23×D6114yes—
1640C2×D4C23×D6114yes—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—611no—
1646C22×C4—611no—
1647C22×C4—611no—
1648C22×C4—611no—
1649C22×C4—611no—
1650C22×C4—611no—
1651C22×C4—611no—
1652C22×C4—611no—
1653C22×C4—611no—
1654C22×C4—611no—
1655C22×C4—611no—
1656C22×C4—611no—
1657C22×C4—614no—
1658C22×C4—614no—
1659C22×C4—614no—
1660C22×C4—614no—
1661C22×C4—614no—
1662C22×C4—614no—
1663C22×C4—614no—
1664C22×C4—614no—
1665C22×C4—614no—
1666C22×C4—614no—
1667C22×C4—614no—
1668C22×C4—614no—
1669C22×C4—614no—
1670C22×C4—614no—
1671C22×C4—614no—
1672C22×C4—614no—
1673C22×C4—614no—
1674C22×C4—614no—
1675C22×C4—1224no—
1676C22×C4—1224no—
1677C22×C4—1224no—
1678C22×C4—2442no—
1679C22×C4—2442no—
1680C22×C4—2442no—
1681C22×C4—2442no—
1682C22×C4—2442no—
1683C22×C4—2442no—
1684C22×C4—2442no—
1685C22×C4—2442no—
1686C22×C4—2442no—
1687C22×C4—24416no—
1688C22×C4—2442no—
1689C22×C4—2442no—
1690C22×C4—2442no—
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⋊C4—614no—
1733C4⋊C4—614no—
1734C4⋊C4—614no—
1735C4⋊C4—614no—
1736C4⋊C4—614no—
1737C4⋊C4—614no—
1738C4⋊C4—614no—
1739C4⋊C4—614no—
1740C4⋊C4C23×D6114yes—
1741C4⋊C4C23×D6114yes—
1742C4⋊C4C23×D6114yes—
1743C4⋊C4C23×D6114yes—
1744C4⋊C4C23×D6114yes—
1745C4⋊C4C23×D6114yes—
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⋊C4—614no—
1779C22⋊C4—614no—
1780C22⋊C4—614no—
1781C22⋊C4—614no—
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—
1792C22⋊C4C23×D6114yes—
1793C22⋊C4C23×D6114yes—
1794C22⋊C4C23×D6114yes—
1795C22⋊C4C23×D6114yes—
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—614no—
1826C23—612no—
1827C23—612no—
1828C23—612no—
1829C23—612no—
1830C23—1228no—
1831C23—1228no—
1832C23—1222no—
1833C23—1222no—
1834C23—1222no—
1835C23—1222no—
1836C23—1222no—
1837C23—1222no—
1838C23—1222no—
1839C23—1222no—
1840C23—1222no—
1841C23—1222no—
1842C23—1222no—
1843C23—4888no—
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—2444no—
1857Q8—2444no—
1858Q8—2444no—
1859Q8—2444no—
1860D4—44no—
1861D4—44no—
1862D4—44no—
1863D4—44no—
1864D4—44no—
1865D4—44no—
1866D4—44no—
1867D4—1228no—
1868D4—1228no—
1869D4—1228no—
1870D4—1228no—
1871D4—2444no—
1872D4—2444no—
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—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—44no—
1898C2×C4—44no—
1899C2×C4—44no—
1900C2×C4—44no—
1901C2×C4—612no—
1902C2×C4—612no—
1903C2×C4—612no—
1904C2×C4—612no—
1905C2×C4—612no—
1906C2×C4—612no—
1907C2×C4—612no—
1908C2×C4—612no—
1909C2×C4—612no—
1910C2×C4—612no—
1911C2×C4—612no—
1912C2×C4—612no—
1913C2×C4—1228no—
1914C2×C4—1228no—
1915C2×C4—1228no—
1916C2×C4—1222no—
1917C2×C4—1222no—
1918C2×C4—1222no—
1919C2×C4—1222no—
1920C2×C4—1222no—
1921C2×C4—1222no—
1922C2×C4—1222no—
1923C2×C4—1222no—
1924C2×C4—1222no—
1925C2×C4—1222no—
1926C2×C4—1222no—
1927C2×C4—1222no—
1928C2×C4—2444no—
1929C2×C4—2444no—
1930C2×C4—2444no—
1931C2×C4—2444no—
1932C2×C4—2444no—
1933C2×C4—2444no—
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—614no—
1975C22—1228no—
1976C22—1222no—
1977C22—1222no—
1978C22—1222no—
1979C22—1222no—
1980C22—1222no—
1981C22—1222no—
1982C22—1222no—
1983C22—1222no—
1984C22—1222no—
1985C22—1222no—
1986C22—1222no—
1987C22—4888no—
1988C22—24416no—
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—1222no—
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—1224no—
2024C2—2442no—
2025C2—2442no—
2026C2—2442no—
2027C2#2145998614yesdirect 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×#3533
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#538

Complements

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

NH ≅ G/Ntype
1. #21459986C2direct (N × H)
2. C2×#16840514C2semidirect
3. C2×#16840509C2semidirect
4. C2×#16840508C2semidirect
5. C2×#16840501C2semidirect
6. C2×#16840494C2semidirect
7. C2×#16840463C2semidirect
8. C2×#16840461C2semidirect
9. C2×#16840448C2semidirect
10. C2×#16840446C2semidirect
11. C2×#16840442C2semidirect
12. C2×#16840438C2semidirect
13. C2×#16840437C2semidirect
14. C2×#16840417C2semidirect
15. C2×#16840410C2semidirect
16. C2×#16840402C2semidirect
17. C2×#16840399C2semidirect
18. C2×#16840381C2semidirect
19. C2×#16840377C2semidirect
20. C2×#16840365C2semidirect
21. C2×#16840362C2semidirect
22. C2×#16840357C2semidirect
23. C2×#16840355C2semidirect
24. C2×#16840347C2semidirect
25. C2×#16840346C2semidirect
26. C2×#16840344C2semidirect
27. C2×#16840328C2semidirect
28. C2×#16840322C2semidirect
29. C2×#16840272C2semidirect
30. C2×#16840271C2semidirect
31. C2×#123×D61C2semidirect
32. C2×C61×#538C2semidirect
34. C22×#11758222C22semidirect
38. C23×C4×D61C22semidirect
39. #16840514C22semidirect
40. #16840509C22semidirect
41. #16840508C22semidirect
42. #16840501C22semidirect
43. #16840494C22semidirect
44. #16840463C22semidirect
45. #16840461C22semidirect
46. #16840448C22semidirect
47. #16840446C22semidirect
48. #16840442C22semidirect
49. #16840438C22semidirect
50. #16840437C22semidirect
51. #16840417C22semidirect
52. #16840410C22semidirect
53. #16840402C22semidirect
54. #16840399C22semidirect
55. #16840381C22semidirect
56. #16840377C22semidirect
57. #16840365C22semidirect
58. #16840362C22semidirect
59. #16840357C22semidirect
60. #16840355C22semidirect
61. #16840347C22semidirect
62. #16840346C22semidirect
63. #16840344C22semidirect
64. #16840328C22semidirect
65. #16840322C22semidirect
66. C2×#14519777C22semidirect
67. C2×#14519776C22semidirect
69. C2×#14519773C22semidirect
70. C2×#14519772C22semidirect
71. C2×#14519771C22semidirect
72. C2×#14519770C22semidirect
73. C2×#14519770C22semidirect
74. C2×#14519770C22semidirect
75. C2×#14519770C22semidirect
76. C2×#14519770C22semidirect
77. C2×#14519770C22semidirect
78. C2×#14519770C22semidirect
79. C2×#14519770C22semidirect
80. C2×#14519768C22semidirect
81. C2×#14519768C22semidirect
82. C2×#14519767C22semidirect
83. C2×#14519767C22semidirect
84. C2×#14519767C22semidirect
85. C2×#14519767C22semidirect
86. C2×#14519766C22semidirect
87. C2×#14519764C22semidirect
89. C2×#14519763C22semidirect
90. C2×#14519763C22semidirect
91. C2×#14519763C22semidirect
92. C2×#14519763C22semidirect
93. C2×#14519763C22semidirect
94. #16840272C22semidirect
95. #16840271C22semidirect
96. C2×#14519762C22semidirect
97. C2×#14519762C22semidirect
98. C2×#14519762C22semidirect
99. C2×#14519762C22semidirect
101. C2×#14519761C22semidirect
102. C2×#14519761C22semidirect
103. C2×#14519761C22semidirect
104. C2×#14519761C22semidirect
105. C2×#14519760C22semidirect
106. C2×#14519760C22semidirect
107. C2×#14519760C22semidirect
114. C2×#14519759C22semidirect
115. C2×#14519759C22semidirect
116. C2×#14519759C22semidirect
117. C2×#14519759C22semidirect
118. C2×#14519759C22semidirect
119. C2×#14519759C22semidirect
122. C2×#14519758C22semidirect
123. C2×#14519758C22semidirect
124. #123×D61C22semidirect
125. C2×#14519757C22semidirect
126. C2×#14519757C22semidirect
127. C2×#14519756C22semidirect
128. C2×#14519756C22semidirect
129. C2×#14519756C22semidirect
130. C2×#14519755C22semidirect
131. C2×#14519755C22semidirect
132. C2×#14519755C22semidirect
133. C2×#14519754C22semidirect
134. C2×#14519754C22semidirect
135. C2×#14519754C22semidirect
136. C2×#14519754C22semidirect
137. C2×#14519754C22semidirect
138. C2×#14519753C22semidirect
139. C2×#14519753C22semidirect
140. C2×#14519752C22semidirect
141. C2×#14519751C22semidirect
142. C2×#14519751C22semidirect
146. C2×#14519750C22semidirect
147. C2×#14519750C22semidirect
148. C2×#14519750C22semidirect
149. C2×#14519749C22semidirect
150. C2×#14519749C22semidirect
151. C2×#14519749C22semidirect
152. C2×#14519749C22semidirect
153. C2×#14519749C22semidirect
154. C2×#14519749C22semidirect
159. C2×#14519748C22semidirect
160. C2×#14519748C22semidirect
162. C2×#14519747C22semidirect
164. C2×#14519746C22semidirect
168. C2×#14519745C22semidirect
169. C2×Q8×Dic61C22semidirect
170. C2×C4×Dic122C22semidirect
171. C2×C4×D244C22semidirect
172. C2×C4×D244C22semidirect
173. C2×D4×Dic61C22semidirect
174. C2×D4×Dic61C22semidirect
175. C2×D4×Dic61C22semidirect
176. C2×#14519739C22semidirect
178. C2×C4×C22⋊D61C22semidirect
179. C2×C4×C22⋊D61C22semidirect
181. C2×#14519737C22semidirect
182. C2×#14519737C22semidirect
183. C2×#14519737C22semidirect
184. C2×#14519737C22semidirect
185. C2×#14519737C22semidirect
186. C2×#14519737C22semidirect
187. C2×#14519736C22semidirect
188. C2×#14519735C22semidirect
189. C2×#14519735C22semidirect
190. C2×#14519734C22semidirect
191. C2×#14519734C22semidirect
192. C2×#14519734C22semidirect
193. C2×#14519733C22semidirect
194. C22×#11758196C22semidirect
195. C2×C4⋊C4×D61C22semidirect
196. C2×C4⋊C4×D61C22semidirect
197. C2×C4⋊C4×D61C22semidirect
198. C22×C22⋊Dic61C22semidirect
202. C2×C22⋊C4×D61C22semidirect
203. C61×#538C22semidirect
204. C2×#126×C61C22semidirect
205. C2×#126×C61C22semidirect
206. C2×#124×C61C22semidirect
207. C2×#124×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
224. C2×#11758222C23semidirect
274. C22×C4×D61C23semidirect
275. #14519777C23semidirect
276. #14519776C23semidirect
278. #14519773C23semidirect
279. #14519772C23semidirect
280. #14519771C23semidirect
281. #14519770C23semidirect
282. #14519770C23semidirect
283. #14519770C23semidirect
284. #14519770C23semidirect
285. #14519770C23semidirect
286. #14519770C23semidirect
287. #14519770C23semidirect
288. #14519770C23semidirect
289. #14519768C23semidirect
290. #14519768C23semidirect
291. #14519767C23semidirect
292. #14519767C23semidirect
293. #14519767C23semidirect
294. #14519767C23semidirect
295. #14519766C23semidirect
296. #14519764C23semidirect
298. #14519763C23semidirect
299. #14519763C23semidirect
300. #14519763C23semidirect
301. #14519763C23semidirect
302. #14519763C23semidirect
303. #14519762C23semidirect
304. #14519762C23semidirect
305. #14519762C23semidirect
306. #14519762C23semidirect
308. #14519761C23semidirect
309. #14519761C23semidirect
310. #14519761C23semidirect
311. #14519761C23semidirect
312. #14519760C23semidirect
313. #14519760C23semidirect
314. #14519760C23semidirect
321. #14519759C23semidirect
322. #14519759C23semidirect
323. #14519759C23semidirect
324. #14519759C23semidirect
325. #14519759C23semidirect
326. #14519759C23semidirect
329. #14519758C23semidirect
330. #14519758C23semidirect
331. #14519757C23semidirect
332. #14519757C23semidirect
333. #14519756C23semidirect
334. #14519756C23semidirect
335. #14519756C23semidirect
336. #14519755C23semidirect
337. #14519755C23semidirect
338. #14519755C23semidirect
339. #14519754C23semidirect
340. #14519754C23semidirect
341. #14519754C23semidirect
342. #14519754C23semidirect
343. #14519754C23semidirect
344. #14519753C23semidirect
345. #14519753C23semidirect
346. #14519752C23semidirect
347. #14519751C23semidirect
348. #14519751C23semidirect
352. #14519750C23semidirect
353. #14519750C23semidirect
354. #14519750C23semidirect
355. #14519749C23semidirect
356. #14519749C23semidirect
357. #14519749C23semidirect
358. #14519749C23semidirect
359. #14519749C23semidirect
360. #14519749C23semidirect
365. #14519748C23semidirect
366. #14519748C23semidirect
368. #14519747C23semidirect
370. #14519746C23semidirect
374. #14519745C23semidirect
375. Q8×Dic61C23semidirect
376. C4×Dic122C23semidirect
377. C4×D244C23semidirect
378. C4×D244C23semidirect
379. D4×Dic61C23semidirect
380. D4×Dic61C23semidirect
381. D4×Dic61C23semidirect
382. #14519739C23semidirect
384. C4×C22⋊D61C23semidirect
385. C4×C22⋊D61C23semidirect
387. #14519737C23semidirect
388. #14519737C23semidirect
389. #14519737C23semidirect
390. #14519737C23semidirect
391. #14519737C23semidirect
392. #14519737C23semidirect
393. #14519736C23semidirect
394. #14519735C23semidirect
395. #14519735C23semidirect
396. #14519734C23semidirect
397. #14519734C23semidirect
398. #14519734C23semidirect
399. #14519733C23semidirect
432. C2×#11758196C23semidirect
433. C4⋊C4×D61C23semidirect
434. C4⋊C4×D61C23semidirect
435. C4⋊C4×D61C23semidirect
452. C2×C22⋊Dic61C23semidirect
476. C22⋊C4×D61C23semidirect
498. #126×C61C23semidirect
499. #126×C61C23semidirect
500. #124×C61C23semidirect
501. #124×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#3533semidirect
1079. #538C2×D61semidirect
1096. C2×#126C2×D61semidirect
1097. C2×#126C2×D61semidirect
1112. C2×#124C2×D61semidirect
1113. C2×#124C2×D61semidirect
1146. C2×#123C2×D61semidirect
1162. C2×C22⋊Q8C2×D61semidirect
1185. C2×#121C2×D61semidirect
1186. C2×#121C2×D61semidirect
1196. C2×#120C2×D61semidirect
1215. C2×C4×D4C2×D61semidirect
1216. C2×C4×D4C2×D61semidirect
1233. C22×C22⋊C4C2×D61semidirect
1234. C61C2×#3533semidirect
1318. #126C22×D61semidirect
1319. #126C22×D61semidirect
1334. #124C22×D61semidirect
1335. #124C22×D61semidirect
1365. #123C22×D61semidirect
1381. C22⋊Q8C22×D61semidirect
1404. #121C22×D61semidirect
1405. #121C22×D61semidirect
1415. #120C22×D61semidirect
1434. C4×D4C22×D61semidirect
1435. C4×D4C22×D61semidirect
1540. C2×C22⋊C4C22×D61semidirect
2027. C2#21459986direct (N × H)

Maximal subgroups

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

subgroupindex
#214599862
C2×#168405142
C2×#168405092
C2×#168405082
C2×#168405012
C2×#168404942
C2×#168404632
C2×#168404612
C2×#168404482
C2×#168404462
C2×#168404422
C2×#168404382
C2×#168404372
C2×#168404172
C2×#168404102
C2×#168404022
C2×#168403992
C2×#168403812
C2×#168403772
C2×#168403652
C2×#168403622
C2×#168403572
C2×#168403552
C2×#168403472
C2×#168403462
C2×#168403442
C2×#168403282
C2×#168403222
C2×#168402722
C2×#168402712
C2×#123×D612
C2×C61×#5382
C2×#353361