Finite Group Databasebeta

← C2×#21459994 #30587281

Subgroups — C2×#21459994 #30587281

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#21459994C2132yesmaximal, direct product factor
2C2×#16840513C211yesmaximal, characteristic, complemented
3C2×#16840510C211yesmaximal, characteristic, complemented
4C2×#16840508C211yesmaximal, characteristic, complemented
5C2×#16840502C211yesmaximal, characteristic, complemented
6C2×#16840495C211yesmaximal, characteristic, complemented
7C2×#16840465C211yesmaximal, characteristic, complemented
8C2×#16840460C211yesmaximal, characteristic, complemented
9C2×#16840450C211yesmaximal, characteristic, complemented
10C2×#16840444C211yesmaximal, characteristic, complemented
11C2×#16840440C211yesmaximal, characteristic, complemented
12C2×#16840437C211yesmaximal, characteristic, complemented
13C2×#16840437C211yesmaximal, characteristic, complemented
14C2×#16840414C211yesmaximal, characteristic, complemented
15C2×#16840413C211yesmaximal, characteristic, complemented
16C2×#16840408C211yesmaximal, characteristic, complemented
17C2×#16840403C211yesmaximal, characteristic, complemented
18C2×#16840382C211yesmaximal, characteristic, complemented
19C2×#16840378C211yesmaximal, characteristic, complemented
20C2×#16840364C211yesmaximal, characteristic, complemented
21C2×#16840363C211yesmaximal, characteristic, complemented
22C2×#16840355C211yesmaximal, characteristic, complemented
23C2×#16840351C211yesmaximal, characteristic, complemented
24C2×#16840348C211yesmaximal, characteristic, complemented
25C2×#16840348C211yesmaximal, characteristic, complemented
26C2×#16840344C211yesmaximal, characteristic, complemented
27C2×#16840328C211yesmaximal, characteristic, complemented
28C2×#16840323C211yesmaximal, characteristic, complemented
29C2×#16840275C211yesmaximal, characteristic, complemented
30C2×#16840271C211yesmaximal, characteristic, complemented
31C2×#123×D61C211yesmaximal, characteristic, complemented
32C2×C61×#539C211yesmaximal, characteristic, complemented
33C22×#11758226C2211yescharacteristic
34C22×#11758222C2211yescharacteristic
35C22×#11758222C2211yescharacteristic, complemented
36C23×D244C2211yescharacteristic
37C22×D4×D61C2211yescharacteristic
38C23×C4×D61C2211yescharacteristic, complemented
39#16840513C22116yescomplemented
40#16840510C22116yescomplemented
41#16840508C22116yescomplemented
42#16840502C22116yescomplemented
43#16840495C22116yescomplemented
44#16840465C22116yescomplemented
45#16840460C22116yescomplemented
46#16840450C22116yescomplemented
47#16840444C22116yescomplemented
48#16840440C22116yescomplemented
49#16840437C22116yescomplemented
50#16840437C22116yescomplemented
51#16840414C22116yescomplemented
52#16840413C22116yescomplemented
53#16840408C22116yescomplemented
54#16840403C22116yescomplemented
55#16840382C22116yescomplemented
56#16840378C22116yescomplemented
57#16840364C22116yescomplemented
58#16840363C22116yescomplemented
59#16840355C22116yescomplemented
60#16840351C22116yescomplemented
61#16840348C22116yescomplemented
62#16840348C22116yescomplemented
63#16840344C22116yescomplemented
64#16840328C22116yescomplemented
65#16840323C22116yescomplemented
66C2×#14519776C2211yescharacteristic, complemented
67C2×#14519775C2211yescharacteristic, complemented
68C2×#14519773C2211yescharacteristic
69C2×#14519773C2211yescharacteristic, complemented
70C2×#14519772C2211yescharacteristic, complemented
71C2×#14519772C2211yescharacteristic, complemented
72C2×#14519772C2211yescharacteristic, complemented
73C2×#14519772C2211yescharacteristic, complemented
74C2×#14519772C2211yescharacteristic, complemented
75C2×#14519772C2211yescharacteristic, complemented
76C2×#14519770C2211yescharacteristic, complemented
77C2×#14519770C2211yescharacteristic, complemented
78C2×#14519770C2211yescharacteristic, complemented
79C2×#14519770C2211yescharacteristic, complemented
80C2×#14519768C2211yescharacteristic, complemented
81C2×#14519768C2211yescharacteristic, complemented
82C2×#14519767C2211yescharacteristic, complemented
83C2×#14519767C2211yescharacteristic, complemented
84C2×#14519766C2211yescharacteristic, complemented
85C2×#14519765C2211yescharacteristic, complemented
86C2×#14519765C2211yescharacteristic, complemented
87C2×#14519764C2211yescharacteristic, complemented
88C2×#14519763C2211yescharacteristic
89C2×#14519763C2211yescharacteristic, complemented
90C2×#14519763C2211yescharacteristic, complemented
91C2×#14519763C2211yescharacteristic, complemented
92C2×#14519763C2211yescharacteristic, complemented
93C2×#14519763C2211yescharacteristic, complemented
94#16840275C22116yescomplemented
95#16840271C22116yescomplemented
96C2×#14519762C2211yescharacteristic
97C2×#14519762C2211yescharacteristic
98C2×#14519762C2211yescharacteristic
99C2×#14519762C2211yescharacteristic
100C2×#14519762C2211yescharacteristic, complemented
101C2×#14519762C2211yescharacteristic, complemented
102C2×#14519762C2211yescharacteristic, complemented
103C2×#14519762C2211yescharacteristic, complemented
104C2×#14519762C2211yescharacteristic, complemented
105C2×#14519762C2211yescharacteristic, complemented
106C2×#14519762C2211yescharacteristic, complemented
107C2×#14519762C2211yescharacteristic, complemented
108C2×#14519762C2211yescharacteristic, complemented
109C2×#14519761C2211yescharacteristic, complemented
110C2×#14519760C2211yescharacteristic
111C2×#14519760C2211yescharacteristic, complemented
112C2×#14519760C2211yescharacteristic, complemented
113C2×#14519760C2211yescharacteristic, complemented
114C2×#14519759C2211yescharacteristic
115C2×#14519759C2211yescharacteristic
116C2×#14519759C2211yescharacteristic, complemented
117C2×#14519759C2211yescharacteristic, complemented
118C2×#14519759C2211yescharacteristic, complemented
119C2×#14519759C2211yescharacteristic, complemented
120C2×#14519759C2211yescharacteristic, complemented
121C2×#14519758C2211yescharacteristic
122#123×D61C22116yescomplemented
123C2×#14519757C2211yescharacteristic, complemented
124C2×#14519757C2211yescharacteristic, complemented
125C2×#14519757C2211yescharacteristic, complemented
126C2×#14519756C2211yescharacteristic, complemented
127C2×#14519755C2211yescharacteristic, complemented
128C2×#14519755C2211yescharacteristic, complemented
129C2×#14519755C2211yescharacteristic, complemented
130C2×#14519755C2211yescharacteristic, complemented
131C2×#14519755C2211yescharacteristic, complemented
132C2×#14519755C2211yescharacteristic, complemented
133C2×#14519755C2211yescharacteristic, complemented
134C2×#14519754C2211yescharacteristic, complemented
135C2×#14519753C2211yescharacteristic, complemented
136C2×#14519752C2211yescharacteristic
137C2×#14519752C2211yescharacteristic
138C2×#14519752C2211yescharacteristic
139C2×#14519752C2211yescharacteristic, complemented
140C2×#14519752C2211yescharacteristic, complemented
141C2×#14519752C2211yescharacteristic, complemented
142C2×#14519752C2211yescharacteristic, complemented
143C2×#14519752C2211yescharacteristic, complemented
144C2×#14519751C2211yescharacteristic, complemented
145C2×#14519751C2211yescharacteristic, complemented
146C2×#14519751C2211yescharacteristic, complemented
147C2×#14519751C2211yescharacteristic, complemented
148C2×#14519751C2211yescharacteristic, complemented
149C2×#14519750C2211yescharacteristic
150C2×#14519750C2211yescharacteristic
151C2×#14519750C2211yescharacteristic
152C2×#14519750C2211yescharacteristic, complemented
153C2×#14519750C2211yescharacteristic, complemented
154C2×#14519750C2211yescharacteristic, complemented
155C2×#14519750C2211yescharacteristic, complemented
156C2×#14519749C2211yescharacteristic, complemented
157C2×#14519748C2211yescharacteristic
158C2×#14519748C2211yescharacteristic, complemented
159C2×#14519747C2211yescharacteristic
160C2×#14519747C2211yescharacteristic
161C2×#14519747C2211yescharacteristic
162C2×#14519747C2211yescharacteristic
163C2×#14519747C2211yescharacteristic, complemented
164C2×#14519747C2211yescharacteristic, complemented
165C2×#14519745C2211yescharacteristic
166C2×#14519745C2211yescharacteristic
167C2×#14519745C2211yescharacteristic, complemented
168C2×#14519745C2211yescharacteristic, complemented
169C2×C4×Dic122C2211yescharacteristic, complemented
170C2×#14519742C2211yescharacteristic, complemented
171C2×C4×D244C2211yescharacteristic
172C2×C4×D244C2211yescharacteristic, complemented
173C2×C4×D244C2211yescharacteristic, complemented
174C2×#14519739C2211yescharacteristic
175C2×#14519739C2211yescharacteristic, complemented
176C2×#14519739C2211yescharacteristic, complemented
177C2×#14519739C2211yescharacteristic, complemented
178C2×#14519739C2211yescharacteristic, complemented
179C2×C4×C22⋊D61C2211yescharacteristic, complemented
180C2×C4×C22⋊D61C2211yescharacteristic, complemented
181C2×C4×C22⋊D61C2211yescharacteristic, complemented
182C2×C4×C22⋊D61C2211yescharacteristic, complemented
183C2×C4×C22⋊D61C2211yescharacteristic, complemented
184C2×C4×C22⋊D61C2211yescharacteristic, complemented
185C2×#14519737C2211yescharacteristic, complemented
186C2×#14519737C2211yescharacteristic, complemented
187C2×#14519735C2211yescharacteristic, complemented
188C2×#14519735C2211yescharacteristic, complemented
189C2×#14519735C2211yescharacteristic, complemented
190C2×#14519735C2211yescharacteristic, complemented
191C2×#14519735C2211yescharacteristic, complemented
192C2×#14519734C2211yescharacteristic, complemented
193C2×#14519734C2211yescharacteristic, complemented
194C2×C4⋊C4×D61C2211yescharacteristic, complemented
195C2×C4⋊C4×D61C2211yescharacteristic, complemented
196C2×C4⋊C4×D61C2211yescharacteristic, complemented
197C2×C22⋊C4×D61C2211yescharacteristic
198C2×C22⋊C4×D61C2211yescharacteristic
199C2×C22⋊C4×D61C2211yescharacteristic
200C2×C22⋊C4×D61C2211yescharacteristic, complemented
201C2×C22⋊C4×D61C2211yescharacteristic, complemented
202C2×C22⋊C4×D61C2211yescharacteristic, complemented
203C61×#539C22116yescomplemented
204C2×#126×C61C2211yescharacteristic, complemented
205C2×#126×C61C2211yescharacteristic, complemented
206C2×#125×C61C2211yescharacteristic, complemented
207C2×#125×C61C2211yescharacteristic, complemented
208C2×#123×C61C2211yescharacteristic
209C2×#123×C61C2211yescharacteristic
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, complemented
217C2×C4×D4×C61C2211yescharacteristic, complemented
218C22×C4⋊C4×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C24×D61C2311yescharacteristic
221C24×D61C2311yescharacteristic
222C2×#11758226—44no—
223C2×#11758226C2318yes—
224C2×#11758222—44no—
225C2×#11758222—44no—
226C2×#11758222C2318yes—
227C2×#11758222C2318yescomplemented
228C22×Dic122C2311yescharacteristic
229C22×Dic122C2311yescharacteristic
230C22×Dic122C2311yescharacteristic
231C22×Dic122C2311yescharacteristic
232C22×D244—44no—
233C22×D244C2311yescharacteristic
234C22×D244C2311yescharacteristic
235C22×D244C2311yescharacteristic
236C22×D244C2311yescharacteristic
237C22×D244C2311yescharacteristic
238C22×D244C2311yescharacteristic
239C22×D244C2311yescharacteristic
240C22×D244C2311yescharacteristic
241C22×D244C2311yescharacteristic
242C22×D244C2311yescharacteristic
243C22×D244C2311yescharacteristic
244C22×D244C2311yescharacteristic
245C22×D244C2318yes—
246C22×C22⋊D61C2311yescharacteristic
247C22×C22⋊D61C2311yescharacteristic
248C22×C22⋊D61C2311yescharacteristic
249C22×C22⋊D61C2311yescharacteristic
250C22×C22⋊D61C2311yescharacteristic
251C22×C22⋊D61C2311yescharacteristic
252C22×C22⋊D61C2311yescharacteristic
253C22×C22⋊D61C2311yescharacteristic
254C22×C22⋊D61C2311yescharacteristic
255C22×C22⋊D61C2311yescharacteristic
256C22×C22⋊D61C2311yescharacteristic
257C22×C22⋊D61C2311yescharacteristic
258C2×D4×D61—44no—
259C2×D4×D61C2318yes—
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×D61C2311yescharacteristic
275C22×C4×D61C2311yescharacteristic
276C22×C4×D61C2311yescharacteristic
277C22×C4×D61C2311yescharacteristic
278C22×C4×D61C2318yescomplemented
279#14519776C2318yescomplemented
280#14519775C2318yescomplemented
281#14519773C2318yes—
282#14519773C2318yescomplemented
283#14519772C2318yescomplemented
284#14519772C2318yescomplemented
285#14519772C2318yescomplemented
286#14519772C2318yescomplemented
287#14519772C2318yescomplemented
288#14519772C2318yescomplemented
289#14519770C2318yescomplemented
290#14519770C2318yescomplemented
291#14519770C2318yescomplemented
292#14519770C2318yescomplemented
293#14519768C2318yescomplemented
294#14519768C2318yescomplemented
295#14519767C2318yescomplemented
296#14519767C2318yescomplemented
297#14519766C2318yescomplemented
298#14519765C2318yescomplemented
299#14519765C2318yescomplemented
300#14519764C2318yescomplemented
301#14519763C2318yes—
302#14519763C2318yescomplemented
303#14519763C2318yescomplemented
304#14519763C2318yescomplemented
305#14519763C2318yescomplemented
306#14519763C2318yescomplemented
307#14519762C2318yes—
308#14519762C2318yes—
309#14519762C2318yes—
310#14519762C2318yes—
311#14519762C2318yescomplemented
312#14519762C2318yescomplemented
313#14519762C2318yescomplemented
314#14519762C2318yescomplemented
315#14519762C2318yescomplemented
316#14519762C2318yescomplemented
317#14519762C2318yescomplemented
318#14519762C2318yescomplemented
319#14519762C2318yescomplemented
320#14519761C2318yescomplemented
321#14519760C2318yes—
322#14519760C2318yescomplemented
323#14519760C2318yescomplemented
324#14519760C2318yescomplemented
325#14519759C2318yes—
326#14519759C2318yes—
327#14519759C2318yescomplemented
328#14519759C2318yescomplemented
329#14519759C2318yescomplemented
330#14519759C2318yescomplemented
331#14519759C2318yescomplemented
332#14519758C2318yes—
333#14519757C2318yescomplemented
334#14519757C2318yescomplemented
335#14519757C2318yescomplemented
336#14519756C2318yescomplemented
337#14519755C2318yescomplemented
338#14519755C2318yescomplemented
339#14519755C2318yescomplemented
340#14519755C2318yescomplemented
341#14519755C2318yescomplemented
342#14519755C2318yescomplemented
343#14519755C2318yescomplemented
344#14519754C2318yescomplemented
345#14519753C2318yescomplemented
346#14519752C2318yes—
347#14519752C2318yes—
348#14519752C2318yes—
349#14519752C2318yescomplemented
350#14519752C2318yescomplemented
351#14519752C2318yescomplemented
352#14519752C2318yescomplemented
353#14519752C2318yescomplemented
354#14519751C2318yescomplemented
355#14519751C2318yescomplemented
356#14519751C2318yescomplemented
357#14519751C2318yescomplemented
358#14519751C2318yescomplemented
359#14519750C2318yes—
360#14519750C2318yes—
361#14519750C2318yes—
362#14519750C2318yescomplemented
363#14519750C2318yescomplemented
364#14519750C2318yescomplemented
365#14519750C2318yescomplemented
366#14519749C2318yescomplemented
367#14519748C2318yes—
368#14519748C2318yescomplemented
369#14519747C2318yes—
370#14519747C2318yes—
371#14519747C2318yes—
372#14519747C2318yes—
373#14519747C2318yescomplemented
374#14519747C2318yescomplemented
375#14519745C2318yes—
376#14519745C2318yes—
377#14519745C2318yescomplemented
378#14519745C2318yescomplemented
379C4×Dic122C2318yescomplemented
380#14519742C2318yescomplemented
381C4×D244C2318yes—
382C4×D244C2318yescomplemented
383C4×D244C2318yescomplemented
384#14519739C2318yes—
385#14519739C2318yescomplemented
386#14519739C2318yescomplemented
387#14519739C2318yescomplemented
388#14519739C2318yescomplemented
389C4×C22⋊D61C2318yescomplemented
390C4×C22⋊D61C2318yescomplemented
391C4×C22⋊D61C2318yescomplemented
392C4×C22⋊D61C2318yescomplemented
393C4×C22⋊D61C2318yescomplemented
394C4×C22⋊D61C2318yescomplemented
395#14519737C2318yescomplemented
396#14519737C2318yescomplemented
397#14519735C2318yescomplemented
398#14519735C2318yescomplemented
399#14519735C2318yescomplemented
400#14519735C2318yescomplemented
401#14519735C2318yescomplemented
402#14519734C2318yescomplemented
403#14519734C2318yescomplemented
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
428C4⋊C4×D61C2318yescomplemented
429C4⋊C4×D61C2318yescomplemented
430C4⋊C4×D61C2318yescomplemented
431C2×C22⋊Dic61C2311yescharacteristic
432C2×C22⋊Dic61C2311yescharacteristic
433C2×C22⋊Dic61C2311yescharacteristic
434C2×C22⋊Dic61C2311yescharacteristic
435C2×C22⋊Dic61C2311yescharacteristic
436C2×C22⋊Dic61C2311yescharacteristic
437C2×C22⋊Dic61C2311yescharacteristic
438C2×C22⋊Dic61C2311yescharacteristic
439C2×#11758198C2311yescharacteristic
440C2×#11758198C2311yescharacteristic
441C2×#11758198C2311yescharacteristic
442C2×#11758198C2311yescharacteristic
443C2×#11758198C2311yescharacteristic
444C2×#11758198C2311yescharacteristic
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×#11758198C2311yescharacteristic
460C2×#11758198C2311yescharacteristic
461C2×#11758198C2311yescharacteristic
462C2×#11758198C2311yescharacteristic
463C2×#11758198C2311yescharacteristic
464C2×#11758198C2311yescharacteristic
465C2×#11758198C2311yescharacteristic
466C2×#11758198C2311yescharacteristic
467C2×#11758198C2311yescharacteristic
468C2×#11758198C2311yescharacteristic
469C2×#11758198C2311yescharacteristic
470C2×#11758198C2311yescharacteristic
471C22⋊C4×D61C2318yes—
472C22⋊C4×D61C2318yes—
473C22⋊C4×D61C2318yes—
474C22⋊C4×D61C2318yescomplemented
475C22⋊C4×D61C2318yescomplemented
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
485C22×Q8×C61C2311yescharacteristic
486C22×D4×C61C2311yescharacteristic
487C22×D4×C61C2311yescharacteristic
488C22×D4×C61C2311yescharacteristic
489C23×C4×C61C2311yescharacteristic
490C23×C4×C61C2311yescharacteristic
491C23×C4×C61C2311yescharacteristic
492C23×C4×C61C2311yescharacteristic
493C23×C4×C61C2311yescharacteristic
494#126×C61C2318yescomplemented
495#126×C61C2318yescomplemented
496#125×C61C2318yescomplemented
497#125×C61C2318yescomplemented
498#123×C61C2318yes—
499#123×C61C2318yes—
500#123×C61C2318yescomplemented
501#123×C61C2318yescomplemented
502C22⋊Q8×C61C2318yescomplemented
503C22⋊Q8×C61C2318yescomplemented
504C22⋊Q8×C61C2318yescomplemented
505#121×C61C2318yes—
506C4×D4×C61C2318yescomplemented
507C4×D4×C61C2318yescomplemented
508C2×C4⋊C4×C61C2311yescharacteristic
509C2×C4⋊C4×C61C2311yescharacteristic
510C2×C4⋊C4×C61C2311yescharacteristic
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×C61C2318yescomplemented
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×C61C2311yescharacteristic
533C2×C42×C61C2311yescharacteristic
534C2×C42×C61C2311yescharacteristic
535C24×C61C2411yescharacteristic
536C24×C61C2411yescharacteristic
537C24×C61C2411yescharacteristic
538C23×D61—24no—
539C23×D61—24no—
540C23×D61—42no—
541C23×D61—42no—
542C23×D61—42no—
543C23×D61—42no—
544C23×D61—42no—
545C23×D61—42no—
546C23×D61—42no—
547C23×D61C2411yescharacteristic
548C23×D61C2411yescharacteristic
549C23×D61C2411yescharacteristic
550C23×D61C2411yescharacteristic
551C23×D61C2411yescharacteristic
552C23×D61C2411yescharacteristic
553C23×D61C2414yes—
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×C61C2414yes—
562C2×D4×C61C2414yes—
563C2×D4×C61C2414yes—
564C22×C4×C61—42no—
565C22×C4×C61—42no—
566C22×C4×C61—42no—
567C22×C4×C61—42no—
568C22×C4×C61—42no—
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×C61C2411yescharacteristic
579C22×C4×C61C2411yescharacteristic
580C22×C4×C61C2411yescharacteristic
581C22×C4×C61C2414yes—
582C22×C4×C61C2414yes—
583C22×C4×C61C2414yes—
584C22×C4×C61C2414yes—
585C22×C4×C61C2414yes—
586C2×C22⋊D61—24no—
587C2×C22⋊D61—42no—
588C2×C22⋊D61—42no—
589C2×C22⋊D61—42no—
590C2×C22⋊D61—42no—
591C2×C22⋊D61—42no—
592C2×C22⋊D61—42no—
593C2×C22⋊D61—42no—
594C2×C22⋊D61—42no—
595C2×C22⋊D61—42no—
596C2×C22⋊D61—42no—
597C2×C22⋊D61—42no—
598C2×C22⋊D61C2414yes—
599C2×C22⋊D61C2414yes—
600C2×C22⋊D61C2414yes—
601C2×C22⋊D61C2414yes—
602C2×C22⋊D61C2414yes—
603C2×C22⋊D61C2414yes—
604C2×C22⋊D61C2414yes—
605C2×C22⋊D61C2414yes—
606C2×C22⋊D61C2414yes—
607C2×C22⋊D61C2414yes—
608C2×C22⋊D61C2414yes—
609C2×C22⋊D61C2414yes—
610C22×Dic61—42no—
611C22×Dic61C2411yescharacteristic
612C22×Dic61C2411yescharacteristic
613C22×Dic61C2411yescharacteristic
614C22×Dic61C2411yescharacteristic
615C22×Dic61C2411yescharacteristic
616C22×Dic61C2411yescharacteristic
617C22×Dic61C2411yescharacteristic
618C22×Dic61C2411yescharacteristic
619C22×Dic61C2411yescharacteristic
620C22×Dic61C2411yescharacteristic
621C22×Dic61C2414yes—
622#11758226—416no—
623D4×D61—416no—
624#11758222—416no—
625#11758222—416no—
626C2×D244—24no—
627C2×D244—24no—
628C2×D244—24no—
629C2×D244—416no—
630C2×D244—42no—
631C2×D244—42no—
632C2×D244—42no—
633C2×D244—42no—
634C2×D244—42no—
635C2×D244—42no—
636C2×D244—42no—
637C2×D244—42no—
638C2×D244—42no—
639C2×D244C2414yes—
640C2×D244C2414yes—
641C2×D244C2414yes—
642C2×D244C2414yes—
643C2×D244C2414yes—
644C2×D244C2414yes—
645C2×D244C2414yes—
646C2×D244C2414yes—
647C2×D244C2414yes—
648C2×D244C2414yes—
649C2×D244C2414yes—
650C2×D244C2414yes—
651C2×C4×D61—24no—
652C2×C4×D61—24no—
653C2×C4×D61—24no—
654C2×C4×D61—416no—
655C2×C4×D61—42no—
656C2×C4×D61—42no—
657C2×C4×D61—42no—
658C2×C4×D61—42no—
659C2×C4×D61—42no—
660C2×C4×D61—42no—
661C2×C4×D61—42no—
662C2×C4×D61—42no—
663C2×C4×D61—42no—
664C2×C4×D61—42no—
665C2×C4×D61—42no—
666C2×C4×D61—42no—
667C2×C4×D61—42no—
668C2×C4×D61C2414yes—
669C2×C4×D61C2414yes—
670C2×C4×D61C2414yes—
671C2×C4×D61C2414yes—
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—
698C4⋊C4×C61C2414yes—
699C4⋊C4×C61C2414yes—
700C4⋊C4×C61C2414yes—
701C4⋊C4×C61C2414yes—
702C4⋊C4×C61C2414yes—
703C4⋊C4×C61C2414yes—
704C4⋊C4×C61C2414yes—
705C4⋊C4×C61C2414yes—
706C22⋊C4×C61C2414yes—
707C22⋊C4×C61C2414yes—
708C22⋊C4×C61C2414yes—
709C22⋊C4×C61C2414yes—
710C22⋊C4×C61C2414yes—
711C22⋊C4×C61C2414yes—
712C22⋊C4×C61C2414yes—
713C22⋊C4×C61C2414yes—
714C22⋊C4×C61C2414yes—
715C22⋊C4×C61C2414yes—
716C42×C61C2414yes—
717C42×C61C2414yes—
718C22⋊Dic61C2414yes—
719C22⋊Dic61C2414yes—
720C22⋊Dic61C2414yes—
721C22⋊Dic61C2414yes—
722C22⋊Dic61C2414yes—
723C22⋊Dic61C2414yes—
724C22⋊Dic61C2414yes—
725C22⋊Dic61C2414yes—
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—
746#11758198C2414yes—
747#11758198C2414yes—
748#11758198C2414yes—
749#11758198C2414yes—
750#11758198C2414yes—
751#11758198C2414yes—
752#11758198C2414yes—
753#11758198C2414yes—
754#11758198C2414yes—
755#11758198C2414yes—
756#11758198C2414yes—
757#11758198C2414yes—
758C4⋊Dic61C2414yes—
759C4⋊Dic61C2414yes—
760C4⋊Dic61C2414yes—
761C4⋊Dic61C2414yes—
762C4⋊Dic61C2414yes—
763C4⋊Dic61C2414yes—
764C4⋊Dic61C2414yes—
765C4⋊Dic61C2414yes—
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×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—22no—
810C22×D61—22no—
811C22×D61—22no—
812C22×D61—22no—
813C22×D61—22no—
814C22×D61—22no—
815C22×D61—22no—
816C22×D61—22no—
817C22×D61—22no—
818C22×D61—22no—
819C22×D61—22no—
820C22×D61—28no—
821C22×D61—28no—
822C22×D61—44no—
823C22×D61—44no—
824C22×D61—44no—
825C22×D61—44no—
826C22×D61—44no—
827C22×D61—44no—
828C22×D61—44no—
829C22×D61—416no—
830C22×D61—88no—
831C22×D61—88no—
832C22×D61H(5,𝔽2)14yes—
833C22×D61C2512yes—
834C22×D61C2512yes—
835C22×D61C2512yes—
836C22×D61C2512yes—
837C22×D61C2512yes—
838C22×D61C2512yes—
839Q8×C61—44no—
840D4×C61—44no—
841D4×C61—44no—
842D4×C61—44no—
843C2×C4×C61—22no—
844C2×C4×C61—22no—
845C2×C4×C61—22no—
846C2×C4×C61—22no—
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—44no—
856C2×C4×C61—44no—
857C2×C4×C61—44no—
858C2×C4×C61—44no—
859C2×C4×C61—44no—
860C2×C4×C61C2512yes—
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—
871C2×C4×C61C2512yes—
872C22⋊D61—28no—
873C22⋊D61—44no—
874C22⋊D61—44no—
875C22⋊D61—44no—
876C22⋊D61—44no—
877C22⋊D61—44no—
878C22⋊D61—44no—
879C22⋊D61—44no—
880C22⋊D61—44no—
881C22⋊D61—44no—
882C22⋊D61—44no—
883C22⋊D61—44no—
884C2×Dic61—22no—
885C2×Dic61—22no—
886C2×Dic61—22no—
887C2×Dic61—22no—
888C2×Dic61—22no—
889C2×Dic61—22no—
890C2×Dic61—22no—
891C2×Dic61—22no—
892C2×Dic61—22no—
893C2×Dic61—22no—
894C2×Dic61—44no—
895C2×Dic61C2512yes—
896C2×Dic61C2512yes—
897C2×Dic61C2512yes—
898C2×Dic61C2512yes—
899C2×Dic61C2512yes—
900C2×Dic61C2512yes—
901C2×Dic61C2512yes—
902C2×Dic61C2512yes—
903C2×Dic61C2512yes—
904C2×Dic61C2512yes—
905D244—28no—
906D244—28no—
907D244—28no—
908D244—44no—
909D244—44no—
910D244—44no—
911D244—44no—
912D244—44no—
913D244—44no—
914D244—44no—
915D244—44no—
916D244—44no—
917C4×D61—28no—
918C4×D61—28no—
919C4×D61—28no—
920C4×D61—44no—
921C4×D61—44no—
922C4×D61—44no—
923C4×D61—44no—
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—44no—
948C22×C61—44no—
949C22×C61—44no—
950C22×C61C2×H(5,𝔽2)12yes—
951C22×C61#58512yes—
952C22×C61#58512yes—
953C22×C61C2611yescharacteristic
954C2×D61—22no—
955C2×D61—22no—
956C2×D61—28no—
957C2×D61—22no—
958C2×D61—22no—
959C2×D61—22no—
960C2×D61—22no—
961C2×D61—22no—
962C2×D61—22no—
963C2×D61—22no—
964C2×D61—22no—
965C2×D61—22no—
966C2×D61—22no—
967C2×D61—22no—
968C2×D61—22no—
969C2×D61—22no—
970C2×D61—22no—
971C2×D61—22no—
972C2×D61—416no—
973C2×D61—44no—
974C2×D61—44no—
975C2×D61—44no—
976C2×D61—44no—
977C2×D61—44no—
978C2×D61—88no—
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—
991C4×C61—22no—
992C4×C61—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×#539D6111yescharacteristic, complemented
1026C2×#538—611no—
1027C2×#538—611no—
1028C2×#538—611no—
1029C2×#538—611no—
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#353314yescomplemented
1039C2×C61C22×H(5,𝔽2)11yescharacteristic
1040C2×C61C2×#58511yescharacteristic
1041C2×C61C2×#58511yescharacteristic
1042D61—24no—
1043D61—42no—
1044D61—42no—
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#539C2×D61116yescomplemented
1076#538—6116no—
1077#538—6116no—
1078#538—6116no—
1079#538—6116no—
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×#125C2×D6111yescharacteristic, complemented
1103C2×#125C2×D6111yescharacteristic, complemented
1104C2×#124—611no—
1105C2×#124—611no—
1106C2×#124—611no—
1107C2×#124—611no—
1108C2×#124—611no—
1109C2×#124—611no—
1110C2×#124—611no—
1111C2×#124—611no—
1112C2×#124—611no—
1113C2×#124—611no—
1114#525—6116no—
1115#525—6116no—
1116C2×#123—611no—
1117C2×#123—611no—
1118C2×#123—611no—
1119C2×#123—611no—
1120C2×#123—611no—
1121C2×#123—6116no—
1122C2×#123—611no—
1123C2×#123—611no—
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×#123C2×D6111yescharacteristic
1144C2×#123C2×D6111yescharacteristic
1145C2×#123C2×D6111yescharacteristic, complemented
1146C2×#123C2×D6111yescharacteristic, complemented
1147C2×C22⋊Q8—611no—
1148C2×C22⋊Q8—611no—
1149C2×C22⋊Q8—611no—
1150C2×C22⋊Q8—611no—
1151C2×C22⋊Q8—611no—
1152C2×C22⋊Q8—611no—
1153C2×C22⋊Q8—611no—
1154C2×C22⋊Q8—611no—
1155C2×C22⋊Q8—611no—
1156C2×C22⋊Q8—611no—
1157C2×C22⋊Q8—611no—
1158C2×C22⋊Q8—611no—
1159C2×C22⋊Q8—611no—
1160C2×C22⋊Q8C2×D6111yescharacteristic, complemented
1161C2×C22⋊Q8C2×D6111yescharacteristic, complemented
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×#121—611no—
1185C2×#121—611no—
1186C2×#121C2×D6111yescharacteristic
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×#120—611no—
1196C2×#120—611no—
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⋊C4C2×D6111yescharacteristic, complemented
1228C22×C22⋊C4—611no—
1229C22×C22⋊C4—611no—
1230C22×C22⋊C4—611no—
1231C22×C22⋊C4—611no—
1232C22×C22⋊C4—611no—
1233C22×C22⋊C4—611no—
1234C61C2×#353311yescharacteristic, complemented, Sylow
1235C25—611no—
1236C25—611no—
1237C25—611no—
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—618no—
1262C22×D4—611no—
1263C22×D4—611no—
1264C22×D4—611no—
1265C22×D4—611no—
1266C22×D4—611no—
1267C22×D4—611no—
1268C22×D4—611no—
1269C22×D4—611no—
1270C22×D4—611no—
1271C22×D4—611no—
1272C22×D4—611no—
1273C22×D4—611no—
1274C22×D4—618no—
1275C22×D4—2444no—
1276C22×D4—2444no—
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—618no—
1298C23×C4—2444no—
1299C23×C4C22×D6111yescharacteristic
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#125C22×D6118yescomplemented
1325#125C22×D6118yescomplemented
1326#124—618no—
1327#124—618no—
1328#124—618no—
1329#124—618no—
1330#124—618no—
1331#124—618no—
1332#124—618no—
1333#124—618no—
1334#124—618no—
1335#124—618no—
1336#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#123C22×D6118yes—
1363#123C22×D6118yes—
1364#123C22×D6118yescomplemented
1365#123C22×D6118yescomplemented
1366C22⋊Q8—618no—
1367C22⋊Q8—618no—
1368C22⋊Q8—618no—
1369C22⋊Q8—618no—
1370C22⋊Q8—618no—
1371C22⋊Q8—618no—
1372C22⋊Q8—618no—
1373C22⋊Q8—618no—
1374C22⋊Q8—618no—
1375C22⋊Q8—618no—
1376C22⋊Q8—618no—
1377C22⋊Q8—618no—
1378C22⋊Q8—618no—
1379C22⋊Q8C22×D6118yescomplemented
1380C22⋊Q8C22×D6118yescomplemented
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#121—618no—
1404#121—618no—
1405#121C22×D6118yes—
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#120—618no—
1415#120—618no—
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—611no—
1456C2×C4⋊C4—611no—
1457C2×C4⋊C4—611no—
1458C2×C4⋊C4—611no—
1459C2×C4⋊C4—611no—
1460C2×C4⋊C4—611no—
1461C2×C4⋊C4—611no—
1462C2×C4⋊C4—611no—
1463C2×C4⋊C4—611no—
1464C2×C4⋊C4—611no—
1465C2×C4⋊C4—611no—
1466C2×C4⋊C4—611no—
1467C2×C4⋊C4—618no—
1468C2×C4⋊C4—618no—
1469C2×C4⋊C4—618no—
1470C2×C4⋊C4C22×D6111yescharacteristic
1471C2×C4⋊C4C22×D6111yescharacteristic
1472C2×C4⋊C4C22×D6111yescharacteristic
1473C2×C4⋊C4C22×D6111yescharacteristic
1474C2×C4⋊C4C22×D6111yescharacteristic
1475C2×C4⋊C4C22×D6111yescharacteristic
1476C2×C4⋊C4C22×D6111yescharacteristic
1477C2×C4⋊C4C22×D6111yescharacteristic
1478C2×C4⋊C4C22×D6111yescharacteristic
1479C2×C4⋊C4C22×D6111yescharacteristic
1480C2×C4⋊C4C22×D6111yescharacteristic
1481C2×C4⋊C4C22×D6111yescharacteristic
1482C2×C4⋊C4C22×D6111yescharacteristic
1483C2×C4⋊C4C22×D6111yescharacteristic
1484C2×C4⋊C4C22×D6118yescomplemented
1485C2×C22⋊C4—611no—
1486C2×C22⋊C4—611no—
1487C2×C22⋊C4—611no—
1488C2×C22⋊C4—611no—
1489C2×C22⋊C4—611no—
1490C2×C22⋊C4—611no—
1491C2×C22⋊C4—611no—
1492C2×C22⋊C4—611no—
1493C2×C22⋊C4—611no—
1494C2×C22⋊C4—611no—
1495C2×C22⋊C4—611no—
1496C2×C22⋊C4—611no—
1497C2×C22⋊C4—611no—
1498C2×C22⋊C4—611no—
1499C2×C22⋊C4—611no—
1500C2×C22⋊C4—611no—
1501C2×C22⋊C4—611no—
1502C2×C22⋊C4—611no—
1503C2×C22⋊C4—611no—
1504C2×C22⋊C4—611no—
1505C2×C22⋊C4—611no—
1506C2×C22⋊C4—611no—
1507C2×C22⋊C4—611no—
1508C2×C22⋊C4—611no—
1509C2×C22⋊C4—611no—
1510C2×C22⋊C4—611no—
1511C2×C22⋊C4—611no—
1512C2×C22⋊C4—611no—
1513C2×C22⋊C4—611no—
1514C2×C22⋊C4—611no—
1515C2×C22⋊C4—611no—
1516C2×C22⋊C4—611no—
1517C2×C22⋊C4—611no—
1518C2×C22⋊C4—611no—
1519C2×C22⋊C4—611no—
1520C2×C22⋊C4—611no—
1521C2×C22⋊C4—611no—
1522C2×C22⋊C4—611no—
1523C2×C22⋊C4—611no—
1524C2×C22⋊C4—611no—
1525C2×C22⋊C4—618no—
1526C2×C22⋊C4—618no—
1527C2×C22⋊C4—618no—
1528C2×C22⋊C4—618no—
1529C2×C22⋊C4—618no—
1530C2×C22⋊C4—618no—
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×D6111yescharacteristic
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—611no—
1552C24—611no—
1553C24—611no—
1554C24—611no—
1555C24—611no—
1556C24—611no—
1557C24—614no—
1558C24—614no—
1559C24—614no—
1560C24—1224no—
1561C24—1224no—
1562C24—2442no—
1563C24—2442no—
1564C24—2442no—
1565C24—2442no—
1566C24—2442no—
1567C24—2442no—
1568C24—2442no—
1569C24C23×D6111yescharacteristic
1570C24C23×D6111yescharacteristic
1571C24C23×D6111yescharacteristic
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—614no—
1589C2×D4—614no—
1590C2×D4—614no—
1591C2×D4—614no—
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—2442no—
1620C2×D4—2442no—
1621C2×D4—2442no—
1622C2×D4—2442no—
1623C2×D4—2442no—
1624C2×D4—2442no—
1625C2×D4—24416no—
1626C2×D4—24416no—
1627C2×D4—2442no—
1628C2×D4—2442no—
1629C2×D4—2442no—
1630C2×D4—2442no—
1631C2×D4—2442no—
1632C2×D4—2442no—
1633C2×D4—2442no—
1634C2×D4—2442no—
1635C2×D4—2442no—
1636C2×D4—2442no—
1637C2×D4—2442no—
1638C2×D4C23×D6114yes—
1639C2×D4C23×D6114yes—
1640C2×D4C23×D6114yes—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
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—614no—
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—1224no—
1674C22×C4—1224no—
1675C22×C4—1224no—
1676C22×C4—2442no—
1677C22×C4—2442no—
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—2442no—
1688C22×C4—2442no—
1689C22×C4—24416no—
1690C22×C4—2442no—
1691C22×C4C23×D6111yescharacteristic
1692C22×C4C23×D6111yescharacteristic
1693C22×C4C23×D6111yescharacteristic
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×D6114yes—
1704C22×C4C23×D6114yes—
1705C22×C4C23×D6114yes—
1706C22×C4C23×D6114yes—
1707C22×C4C23×D6114yes—
1708C4⋊C4—614no—
1709C4⋊C4—614no—
1710C4⋊C4—614no—
1711C4⋊C4—614no—
1712C4⋊C4—614no—
1713C4⋊C4—614no—
1714C4⋊C4—614no—
1715C4⋊C4—614no—
1716C4⋊C4—614no—
1717C4⋊C4—614no—
1718C4⋊C4—614no—
1719C4⋊C4—614no—
1720C4⋊C4—614no—
1721C4⋊C4—614no—
1722C4⋊C4—614no—
1723C4⋊C4—614no—
1724C4⋊C4—614no—
1725C4⋊C4—614no—
1726C4⋊C4—614no—
1727C4⋊C4—614no—
1728C4⋊C4—614no—
1729C4⋊C4—614no—
1730C4⋊C4—614no—
1731C4⋊C4—614no—
1732C4⋊C4C23×D6114yes—
1733C4⋊C4C23×D6114yes—
1734C4⋊C4C23×D6114yes—
1735C4⋊C4C23×D6114yes—
1736C4⋊C4C23×D6114yes—
1737C4⋊C4C23×D6114yes—
1738C4⋊C4C23×D6114yes—
1739C4⋊C4C23×D6114yes—
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⋊C4—614no—
1783C22⋊C4—614no—
1784C22⋊C4—614no—
1785C22⋊C4—614no—
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—614no—
1816C23—612no—
1817C23—612no—
1818C23—612no—
1819C23—612no—
1820C23—612no—
1821C23—612no—
1822C23—1228no—
1823C23—1228no—
1824C23—1222no—
1825C23—1222no—
1826C23—1222no—
1827C23—1222no—
1828C23—1222no—
1829C23—1222no—
1830C23—1222no—
1831C23—1222no—
1832C23—1222no—
1833C23—1222no—
1834C23—1222no—
1835C23—1222no—
1836C23—1222no—
1837C23—1222no—
1838C23—1222no—
1839C23—1222no—
1840C23—1222no—
1841C23—4888no—
1842C23—4888no—
1843C23—2444no—
1844C23—2444no—
1845C23—2444no—
1846C23—2444no—
1847C23—2444no—
1848C23—2444no—
1849C23—2444no—
1850C23—24416no—
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—1228no—
1864D4—1228no—
1865D4—1228no—
1866D4—1228no—
1867D4—2444no—
1868D4—2444no—
1869D4—2444no—
1870D4—2444no—
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—22no—
1898C2×C4—22no—
1899C2×C4—44no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—44no—
1903C2×C4—44no—
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—612no—
1914C2×C4—1228no—
1915C2×C4—1228no—
1916C2×C4—1228no—
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—2444no—
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×C4C24×D6112yes—
1942C2×C4C24×D6112yes—
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—44no—
1963C22—44no—
1964C22—44no—
1965C22—614no—
1966C22—1228no—
1967C22—1222no—
1968C22—1222no—
1969C22—1222no—
1970C22—1222no—
1971C22—1222no—
1972C22—1222no—
1973C22—1222no—
1974C22—1222no—
1975C22—1222no—
1976C22—1222no—
1977C22—1222no—
1978C22—1222no—
1979C22—1222no—
1980C22—1222no—
1981C22—1222no—
1982C22—1222no—
1983C22—1222no—
1984C22—4888no—
1985C22—4888no—
1986C22—24416no—
1987C22—2444no—
1988C22—2444no—
1989C22—2444no—
1990C22—2444no—
1991C22—2444no—
1992C22H(5,𝔽2)×D6112yes—
1993C22#1684059812yes—
1994C22#1684059912yes—
1995C22C25×D6111yescharacteristic
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—22no—
2007C4—22no—
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—1224no—
2022C2—2442no—
2023C2—2442no—
2024C2—2442no—
2025C2—2442no—
2026C2—2442no—
2027C2#2145999414yesdirect product factor
2028C2C2×H(5,𝔽2)×D6111yescharacteristic
2029C2C2×#1684059811yescharacteristic
2030C2C2×#1684059911yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#539C2
socleC23×C61C25
hypercenterC2×#539D61
hypocenterC61C2×#3533
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#539

Complements

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

NH ≅ G/Ntype
1. #21459994C2direct (N × H)
2. C2×#16840513C2semidirect
3. C2×#16840510C2semidirect
4. C2×#16840508C2semidirect
5. C2×#16840502C2semidirect
6. C2×#16840495C2semidirect
7. C2×#16840465C2semidirect
8. C2×#16840460C2semidirect
9. C2×#16840450C2semidirect
10. C2×#16840444C2semidirect
11. C2×#16840440C2semidirect
12. C2×#16840437C2semidirect
13. C2×#16840437C2semidirect
14. C2×#16840414C2semidirect
15. C2×#16840413C2semidirect
16. C2×#16840408C2semidirect
17. C2×#16840403C2semidirect
18. C2×#16840382C2semidirect
19. C2×#16840378C2semidirect
20. C2×#16840364C2semidirect
21. C2×#16840363C2semidirect
22. C2×#16840355C2semidirect
23. C2×#16840351C2semidirect
24. C2×#16840348C2semidirect
25. C2×#16840348C2semidirect
26. C2×#16840344C2semidirect
27. C2×#16840328C2semidirect
28. C2×#16840323C2semidirect
29. C2×#16840275C2semidirect
30. C2×#16840271C2semidirect
31. C2×#123×D61C2semidirect
32. C2×C61×#539C2semidirect
35. C22×#11758222C22semidirect
38. C23×C4×D61C22semidirect
39. #16840513C22semidirect
40. #16840510C22semidirect
41. #16840508C22semidirect
42. #16840502C22semidirect
43. #16840495C22semidirect
44. #16840465C22semidirect
45. #16840460C22semidirect
46. #16840450C22semidirect
47. #16840444C22semidirect
48. #16840440C22semidirect
49. #16840437C22semidirect
50. #16840437C22semidirect
51. #16840414C22semidirect
52. #16840413C22semidirect
53. #16840408C22semidirect
54. #16840403C22semidirect
55. #16840382C22semidirect
56. #16840378C22semidirect
57. #16840364C22semidirect
58. #16840363C22semidirect
59. #16840355C22semidirect
60. #16840351C22semidirect
61. #16840348C22semidirect
62. #16840348C22semidirect
63. #16840344C22semidirect
64. #16840328C22semidirect
65. #16840323C22semidirect
66. C2×#14519776C22semidirect
67. C2×#14519775C22semidirect
69. C2×#14519773C22semidirect
70. C2×#14519772C22semidirect
71. C2×#14519772C22semidirect
72. C2×#14519772C22semidirect
73. C2×#14519772C22semidirect
74. C2×#14519772C22semidirect
75. C2×#14519772C22semidirect
76. C2×#14519770C22semidirect
77. C2×#14519770C22semidirect
78. C2×#14519770C22semidirect
79. C2×#14519770C22semidirect
80. C2×#14519768C22semidirect
81. C2×#14519768C22semidirect
82. C2×#14519767C22semidirect
83. C2×#14519767C22semidirect
84. C2×#14519766C22semidirect
85. C2×#14519765C22semidirect
86. C2×#14519765C22semidirect
87. C2×#14519764C22semidirect
89. C2×#14519763C22semidirect
90. C2×#14519763C22semidirect
91. C2×#14519763C22semidirect
92. C2×#14519763C22semidirect
93. C2×#14519763C22semidirect
94. #16840275C22semidirect
95. #16840271C22semidirect
100. C2×#14519762C22semidirect
101. C2×#14519762C22semidirect
102. C2×#14519762C22semidirect
103. C2×#14519762C22semidirect
104. C2×#14519762C22semidirect
105. C2×#14519762C22semidirect
106. C2×#14519762C22semidirect
107. C2×#14519762C22semidirect
108. C2×#14519762C22semidirect
109. C2×#14519761C22semidirect
111. C2×#14519760C22semidirect
112. C2×#14519760C22semidirect
113. C2×#14519760C22semidirect
116. C2×#14519759C22semidirect
117. C2×#14519759C22semidirect
118. C2×#14519759C22semidirect
119. C2×#14519759C22semidirect
120. C2×#14519759C22semidirect
122. #123×D61C22semidirect
123. C2×#14519757C22semidirect
124. C2×#14519757C22semidirect
125. C2×#14519757C22semidirect
126. C2×#14519756C22semidirect
127. C2×#14519755C22semidirect
128. C2×#14519755C22semidirect
129. C2×#14519755C22semidirect
130. C2×#14519755C22semidirect
131. C2×#14519755C22semidirect
132. C2×#14519755C22semidirect
133. C2×#14519755C22semidirect
134. C2×#14519754C22semidirect
135. C2×#14519753C22semidirect
139. C2×#14519752C22semidirect
140. C2×#14519752C22semidirect
141. C2×#14519752C22semidirect
142. C2×#14519752C22semidirect
143. C2×#14519752C22semidirect
144. C2×#14519751C22semidirect
145. C2×#14519751C22semidirect
146. C2×#14519751C22semidirect
147. C2×#14519751C22semidirect
148. C2×#14519751C22semidirect
152. C2×#14519750C22semidirect
153. C2×#14519750C22semidirect
154. C2×#14519750C22semidirect
155. C2×#14519750C22semidirect
156. C2×#14519749C22semidirect
158. C2×#14519748C22semidirect
163. C2×#14519747C22semidirect
164. C2×#14519747C22semidirect
167. C2×#14519745C22semidirect
168. C2×#14519745C22semidirect
169. C2×C4×Dic122C22semidirect
170. C2×#14519742C22semidirect
172. C2×C4×D244C22semidirect
173. C2×C4×D244C22semidirect
175. C2×#14519739C22semidirect
176. C2×#14519739C22semidirect
177. C2×#14519739C22semidirect
178. C2×#14519739C22semidirect
179. C2×C4×C22⋊D61C22semidirect
180. C2×C4×C22⋊D61C22semidirect
181. C2×C4×C22⋊D61C22semidirect
182. C2×C4×C22⋊D61C22semidirect
183. C2×C4×C22⋊D61C22semidirect
184. C2×C4×C22⋊D61C22semidirect
185. C2×#14519737C22semidirect
186. C2×#14519737C22semidirect
187. C2×#14519735C22semidirect
188. C2×#14519735C22semidirect
189. C2×#14519735C22semidirect
190. C2×#14519735C22semidirect
191. C2×#14519735C22semidirect
192. C2×#14519734C22semidirect
193. C2×#14519734C22semidirect
194. C2×C4⋊C4×D61C22semidirect
195. C2×C4⋊C4×D61C22semidirect
196. C2×C4⋊C4×D61C22semidirect
200. C2×C22⋊C4×D61C22semidirect
201. C2×C22⋊C4×D61C22semidirect
202. C2×C22⋊C4×D61C22semidirect
203. C61×#539C22semidirect
204. C2×#126×C61C22semidirect
205. C2×#126×C61C22semidirect
206. C2×#125×C61C22semidirect
207. C2×#125×C61C22semidirect
210. C2×#123×C61C22semidirect
211. C2×#123×C61C22semidirect
212. C2×C22⋊Q8×C61C22semidirect
213. C2×C22⋊Q8×C61C22semidirect
214. C2×C22⋊Q8×C61C22semidirect
216. C2×C4×D4×C61C22semidirect
217. C2×C4×D4×C61C22semidirect
218. C22×C4⋊C4×C61C22semidirect
227. C2×#11758222C23semidirect
278. C22×C4×D61C23semidirect
279. #14519776C23semidirect
280. #14519775C23semidirect
282. #14519773C23semidirect
283. #14519772C23semidirect
284. #14519772C23semidirect
285. #14519772C23semidirect
286. #14519772C23semidirect
287. #14519772C23semidirect
288. #14519772C23semidirect
289. #14519770C23semidirect
290. #14519770C23semidirect
291. #14519770C23semidirect
292. #14519770C23semidirect
293. #14519768C23semidirect
294. #14519768C23semidirect
295. #14519767C23semidirect
296. #14519767C23semidirect
297. #14519766C23semidirect
298. #14519765C23semidirect
299. #14519765C23semidirect
300. #14519764C23semidirect
302. #14519763C23semidirect
303. #14519763C23semidirect
304. #14519763C23semidirect
305. #14519763C23semidirect
306. #14519763C23semidirect
311. #14519762C23semidirect
312. #14519762C23semidirect
313. #14519762C23semidirect
314. #14519762C23semidirect
315. #14519762C23semidirect
316. #14519762C23semidirect
317. #14519762C23semidirect
318. #14519762C23semidirect
319. #14519762C23semidirect
320. #14519761C23semidirect
322. #14519760C23semidirect
323. #14519760C23semidirect
324. #14519760C23semidirect
327. #14519759C23semidirect
328. #14519759C23semidirect
329. #14519759C23semidirect
330. #14519759C23semidirect
331. #14519759C23semidirect
333. #14519757C23semidirect
334. #14519757C23semidirect
335. #14519757C23semidirect
336. #14519756C23semidirect
337. #14519755C23semidirect
338. #14519755C23semidirect
339. #14519755C23semidirect
340. #14519755C23semidirect
341. #14519755C23semidirect
342. #14519755C23semidirect
343. #14519755C23semidirect
344. #14519754C23semidirect
345. #14519753C23semidirect
349. #14519752C23semidirect
350. #14519752C23semidirect
351. #14519752C23semidirect
352. #14519752C23semidirect
353. #14519752C23semidirect
354. #14519751C23semidirect
355. #14519751C23semidirect
356. #14519751C23semidirect
357. #14519751C23semidirect
358. #14519751C23semidirect
362. #14519750C23semidirect
363. #14519750C23semidirect
364. #14519750C23semidirect
365. #14519750C23semidirect
366. #14519749C23semidirect
368. #14519748C23semidirect
373. #14519747C23semidirect
374. #14519747C23semidirect
377. #14519745C23semidirect
378. #14519745C23semidirect
379. C4×Dic122C23semidirect
380. #14519742C23semidirect
382. C4×D244C23semidirect
383. C4×D244C23semidirect
385. #14519739C23semidirect
386. #14519739C23semidirect
387. #14519739C23semidirect
388. #14519739C23semidirect
389. C4×C22⋊D61C23semidirect
390. C4×C22⋊D61C23semidirect
391. C4×C22⋊D61C23semidirect
392. C4×C22⋊D61C23semidirect
393. C4×C22⋊D61C23semidirect
394. C4×C22⋊D61C23semidirect
395. #14519737C23semidirect
396. #14519737C23semidirect
397. #14519735C23semidirect
398. #14519735C23semidirect
399. #14519735C23semidirect
400. #14519735C23semidirect
401. #14519735C23semidirect
402. #14519734C23semidirect
403. #14519734C23semidirect
428. C4⋊C4×D61C23semidirect
429. C4⋊C4×D61C23semidirect
430. C4⋊C4×D61C23semidirect
474. C22⋊C4×D61C23semidirect
475. C22⋊C4×D61C23semidirect
476. C22⋊C4×D61C23semidirect
494. #126×C61C23semidirect
495. #126×C61C23semidirect
496. #125×C61C23semidirect
497. #125×C61C23semidirect
500. #123×C61C23semidirect
501. #123×C61C23semidirect
502. C22⋊Q8×C61C23semidirect
503. C22⋊Q8×C61C23semidirect
504. C22⋊Q8×C61C23semidirect
506. C4×D4×C61C23semidirect
507. C4×D4×C61C23semidirect
522. C2×C4⋊C4×C61C23semidirect
1025. C2×#539D61semidirect
1038. C2×C61#3533semidirect
1075. #539C2×D61semidirect
1096. C2×#126C2×D61semidirect
1097. C2×#126C2×D61semidirect
1102. C2×#125C2×D61semidirect
1103. C2×#125C2×D61semidirect
1145. C2×#123C2×D61semidirect
1146. C2×#123C2×D61semidirect
1160. C2×C22⋊Q8C2×D61semidirect
1161. C2×C22⋊Q8C2×D61semidirect
1162. C2×C22⋊Q8C2×D61semidirect
1215. C2×C4×D4C2×D61semidirect
1216. C2×C4×D4C2×D61semidirect
1227. C22×C4⋊C4C2×D61semidirect
1234. C61C2×#3533semidirect
1318. #126C22×D61semidirect
1319. #126C22×D61semidirect
1324. #125C22×D61semidirect
1325. #125C22×D61semidirect
1364. #123C22×D61semidirect
1365. #123C22×D61semidirect
1379. C22⋊Q8C22×D61semidirect
1380. C22⋊Q8C22×D61semidirect
1381. C22⋊Q8C22×D61semidirect
1434. C4×D4C22×D61semidirect
1435. C4×D4C22×D61semidirect
1484. C2×C4⋊C4C22×D61semidirect
2027. C2#21459994direct (N × H)

Maximal subgroups

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

subgroupindex
#214599942
C2×#168405132
C2×#168405102
C2×#168405082
C2×#168405022
C2×#168404952
C2×#168404652
C2×#168404602
C2×#168404502
C2×#168404442
C2×#168404402
C2×#168404372
C2×#168404142
C2×#168404132
C2×#168404082
C2×#168404032
C2×#168403822
C2×#168403782
C2×#168403642
C2×#168403632
C2×#168403552
C2×#168403512
C2×#168403482
C2×#168403442
C2×#168403282
C2×#168403232
C2×#168402752
C2×#168402712
C2×#123×D612
C2×C61×#5392
C2×#353361