Finite Group Databasebeta

← C2×#21459977 #30587270

Subgroups — C2×#21459977 #30587270

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#21459977C2132yesmaximal, direct product factor
2C2×#16840514C211yesmaximal, characteristic, complemented
3C2×#16840507C211yesmaximal, characteristic, complemented
4C2×#16840507C211yesmaximal, characteristic, complemented
5C2×#16840500C211yesmaximal, characteristic, complemented
6C2×#16840495C211yesmaximal, characteristic, complemented
7C2×#16840457C211yesmaximal, characteristic, complemented
8C2×#16840448C211yesmaximal, characteristic, complemented
9C2×#16840444C211yesmaximal, characteristic, complemented
10C2×#16840441C211yesmaximal, characteristic, complemented
11C2×#16840441C211yesmaximal, characteristic, complemented
12C2×#16840436C211yesmaximal, characteristic, complemented
13C2×#16840417C211yesmaximal, characteristic, complemented
14C2×#16840413C211yesmaximal, characteristic, complemented
15C2×#16840409C211yesmaximal, characteristic, complemented
16C2×#16840404C211yesmaximal, characteristic, complemented
17C2×#16840383C211yesmaximal, characteristic, complemented
18C2×#16840380C211yesmaximal, characteristic, complemented
19C2×#16840363C211yesmaximal, characteristic, complemented
20C2×#16840362C211yesmaximal, characteristic, complemented
21C2×#16840360C211yesmaximal, characteristic, complemented
22C2×#16840359C211yesmaximal, characteristic, complemented
23C2×#16840351C211yesmaximal, characteristic, complemented
24C2×#16840351C211yesmaximal, characteristic, complemented
25C2×#16840345C211yesmaximal, characteristic, complemented
26C2×#16840344C211yesmaximal, characteristic, complemented
27C2×#16840328C211yesmaximal, characteristic, complemented
28C2×#16840320C211yesmaximal, characteristic, complemented
29C2×#16840271C211yesmaximal, characteristic, complemented
30C2×#16840271C211yesmaximal, characteristic, complemented
31C2×#123×D61C211yesmaximal, characteristic, complemented
32C2×C61×#553C211yesmaximal, characteristic, complemented
33C22×#11758222C2211yescharacteristic
34C22×#11758222C2211yescharacteristic
35C22×#11758222C2211yescharacteristic, complemented
36C22×D4×D61C2211yescharacteristic
37C22×D4×D61C2211yescharacteristic
38C23×C4×D61C2211yescharacteristic, complemented
39#16840514C22116yescomplemented
40#16840507C22116yescomplemented
41#16840507C22116yescomplemented
42#16840500C22116yescomplemented
43#16840495C22116yescomplemented
44#16840457C22116yescomplemented
45#16840448C22116yescomplemented
46#16840444C22116yescomplemented
47#16840441C22116yescomplemented
48#16840441C22116yescomplemented
49#16840436C22116yescomplemented
50#16840417C22116yescomplemented
51#16840413C22116yescomplemented
52#16840409C22116yescomplemented
53#16840404C22116yescomplemented
54#16840383C22116yescomplemented
55#16840380C22116yescomplemented
56#16840363C22116yescomplemented
57#16840362C22116yescomplemented
58#16840360C22116yescomplemented
59#16840359C22116yescomplemented
60#16840351C22116yescomplemented
61#16840351C22116yescomplemented
62#16840345C22116yescomplemented
63#16840344C22116yescomplemented
64#16840328C22116yescomplemented
65#16840320C22116yescomplemented
66C2×#14519777C2211yescharacteristic, complemented
67C2×#14519776C2211yescharacteristic, 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×#14519771C2211yescharacteristic, complemented
77C2×#14519771C2211yescharacteristic, complemented
78C2×#14519770C2211yescharacteristic, complemented
79C2×#14519770C2211yescharacteristic, complemented
80C2×#14519768C2211yescharacteristic, complemented
81C2×#14519767C2211yescharacteristic, complemented
82C2×#14519767C2211yescharacteristic, complemented
83C2×#14519767C2211yescharacteristic, complemented
84C2×#14519767C2211yescharacteristic, complemented
85C2×#14519765C2211yescharacteristic, complemented
86C2×#14519765C2211yescharacteristic, complemented
87C2×#14519764C2211yescharacteristic, complemented
88C2×#14519764C2211yescharacteristic, complemented
89C2×#14519763C2211yescharacteristic
90C2×#14519763C2211yescharacteristic, complemented
91C2×#14519763C2211yescharacteristic, complemented
92C2×#14519763C2211yescharacteristic, complemented
93C2×#14519763C2211yescharacteristic, complemented
94C2×#14519763C2211yescharacteristic, complemented
95#16840271C22116yescomplemented
96#16840271C22116yescomplemented
97C2×#14519762C2211yescharacteristic
98C2×#14519762C2211yescharacteristic
99C2×#14519762C2211yescharacteristic
100C2×#14519762C2211yescharacteristic
101C2×#14519762C2211yescharacteristic
102C2×#14519762C2211yescharacteristic, complemented
103C2×#14519762C2211yescharacteristic, complemented
104C2×#14519762C2211yescharacteristic, complemented
105C2×#14519761C2211yescharacteristic
106C2×#14519760C2211yescharacteristic
107C2×#14519760C2211yescharacteristic, complemented
108C2×#14519760C2211yescharacteristic, complemented
109C2×#14519760C2211yescharacteristic, complemented
110C2×#14519760C2211yescharacteristic, complemented
111C2×#14519760C2211yescharacteristic, complemented
112C2×#14519759C2211yescharacteristic
113C2×#14519759C2211yescharacteristic
114C2×#14519759C2211yescharacteristic
115C2×#14519759C2211yescharacteristic, complemented
116C2×#14519759C2211yescharacteristic, complemented
117C2×#14519759C2211yescharacteristic, complemented
118C2×#14519759C2211yescharacteristic, complemented
119C2×#14519759C2211yescharacteristic, complemented
120C2×#14519759C2211yescharacteristic, complemented
121C2×#14519759C2211yescharacteristic, complemented
122C2×#14519758C2211yescharacteristic, complemented
123C2×#14519758C2211yescharacteristic, complemented
124C2×#14519758C2211yescharacteristic, complemented
125#123×D61C22116yescomplemented
126C2×#14519757C2211yescharacteristic, complemented
127C2×#14519756C2211yescharacteristic, complemented
128C2×#14519756C2211yescharacteristic, complemented
129C2×#14519756C2211yescharacteristic, complemented
130C2×#14519755C2211yescharacteristic, complemented
131C2×#14519755C2211yescharacteristic, complemented
132C2×#14519755C2211yescharacteristic, complemented
133C2×#14519755C2211yescharacteristic, complemented
134C2×#14519755C2211yescharacteristic, complemented
135C2×#14519755C2211yescharacteristic, complemented
136C2×#14519755C2211yescharacteristic, complemented
137C2×#14519755C2211yescharacteristic, complemented
138C2×#14519754C2211yescharacteristic, complemented
139C2×#14519754C2211yescharacteristic, complemented
140C2×#14519754C2211yescharacteristic, complemented
141C2×#14519754C2211yescharacteristic, complemented
142C2×#14519752C2211yescharacteristic
143C2×#14519752C2211yescharacteristic
144C2×#14519752C2211yescharacteristic, complemented
145C2×#14519751C2211yescharacteristic
146C2×#14519751C2211yescharacteristic
147C2×#14519751C2211yescharacteristic, complemented
148C2×#14519750C2211yescharacteristic, complemented
149C2×#14519750C2211yescharacteristic, complemented
150C2×#14519750C2211yescharacteristic, complemented
151C2×#14519750C2211yescharacteristic, complemented
152C2×#14519749C2211yescharacteristic
153C2×#14519749C2211yescharacteristic
154C2×#14519749C2211yescharacteristic, complemented
155C2×#14519749C2211yescharacteristic, complemented
156C2×#14519749C2211yescharacteristic, complemented
157C2×#14519749C2211yescharacteristic, complemented
158C2×#14519748C2211yescharacteristic
159C2×#14519748C2211yescharacteristic, complemented
160C2×#14519748C2211yescharacteristic, complemented
161C2×#14519748C2211yescharacteristic, complemented
162C2×#14519747C2211yescharacteristic
163C2×#14519747C2211yescharacteristic
164C2×#14519747C2211yescharacteristic
165C2×#14519747C2211yescharacteristic, complemented
166C2×#14519747C2211yescharacteristic, complemented
167C2×#14519745C2211yescharacteristic
168C2×#14519745C2211yescharacteristic
169C2×#14519745C2211yescharacteristic
170C2×#14519745C2211yescharacteristic, complemented
171C2×#14519745C2211yescharacteristic, complemented
172C2×C4×Dic122C2211yescharacteristic, complemented
173C2×#14519742C2211yescharacteristic, complemented
174C2×C4×D244C2211yescharacteristic, complemented
175C2×C4×D244C2211yescharacteristic, complemented
176C2×C4×D244C2211yescharacteristic, complemented
177C2×#14519739C2211yescharacteristic
178C2×#14519739C2211yescharacteristic, complemented
179C2×#14519739C2211yescharacteristic, 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×C4×C22⋊D61C2211yescharacteristic, complemented
186C2×#14519737C2211yescharacteristic
187C2×#14519737C2211yescharacteristic, complemented
188C2×#14519735C2211yescharacteristic, complemented
189C2×#14519734C2211yescharacteristic, complemented
190C2×#14519734C2211yescharacteristic, complemented
191C2×#14519734C2211yescharacteristic, complemented
192C2×#14519733C2211yescharacteristic, complemented
193C2×#14519733C2211yescharacteristic, complemented
194C2×C4⋊C4×D61C2211yescharacteristic, complemented
195C2×C4⋊C4×D61C2211yescharacteristic, complemented
196C2×C4⋊C4×D61C2211yescharacteristic, complemented
197C22×#11758198C2211yescharacteristic
198C22×#11758198C2211yescharacteristic, complemented
199C2×C22⋊C4×D61C2211yescharacteristic
200C2×C22⋊C4×D61C2211yescharacteristic
201C2×C22⋊C4×D61C2211yescharacteristic, complemented
202C2×C22⋊C4×D61C2211yescharacteristic, complemented
203C61×#553C22116yescomplemented
204C2×#126×C61C2211yescharacteristic, complemented
205C2×#126×C61C2211yescharacteristic, complemented
206C2×#125×C61C2211yescharacteristic, complemented
207C2×#123×C61C2211yescharacteristic, complemented
208C2×#123×C61C2211yescharacteristic, complemented
209C2×#121×C61C2211yescharacteristic
210C2×#121×C61C2211yescharacteristic, complemented
211C2×#121×C61C2211yescharacteristic, complemented
212C2×#121×C61C2211yescharacteristic, complemented
213C2×C4×D4×C61C2211yescharacteristic, complemented
214C2×C4×D4×C61C2211yescharacteristic, complemented
215C2×C4×D4×C61C2211yescharacteristic, complemented
216C2×C4×D4×C61C2211yescharacteristic, complemented
217C2×#117×C61C2211yescharacteristic, complemented
218C22×C4⋊C4×C61C2211yescharacteristic, complemented
219C24×D61C2311yescharacteristic
220C24×D61C2311yescharacteristic
221C24×D61C2311yescharacteristic
222C2×#11758222—44no—
223C2×#11758222—44no—
224C2×#11758222—44no—
225C2×#11758222C2318yes—
226C2×#11758222C2318yes—
227C2×#11758222C2318yescomplemented
228C22×Dic122C2311yescharacteristic
229C22×Dic122C2311yescharacteristic
230C22×Dic122C2311yescharacteristic
231C22×Dic122C2311yescharacteristic
232C22×Dic122C2311yescharacteristic
233C22×D244C2311yescharacteristic
234C22×D244C2311yescharacteristic
235C22×D244C2311yescharacteristic
236C22×D244C2311yescharacteristic
237C22×D244C2311yescharacteristic
238C22×D244C2311yescharacteristic
239C22×D244C2311yescharacteristic
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⋊D61C2311yescharacteristic
253C22×C22⋊D61C2311yescharacteristic
254C2×D4×D61—44no—
255C2×D4×D61—44no—
256C2×D4×D61C2318yes—
257C2×D4×D61C2318yes—
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×D61C2311yescharacteristic
275C22×C4×D61C2318yescomplemented
276#14519777C2318yescomplemented
277#14519776C2318yescomplemented
278#14519773C2318yes—
279#14519773C2318yescomplemented
280#14519772C2318yescomplemented
281#14519772C2318yescomplemented
282#14519772C2318yescomplemented
283#14519772C2318yescomplemented
284#14519772C2318yescomplemented
285#14519772C2318yescomplemented
286#14519771C2318yescomplemented
287#14519771C2318yescomplemented
288#14519770C2318yescomplemented
289#14519770C2318yescomplemented
290#14519768C2318yescomplemented
291#14519767C2318yescomplemented
292#14519767C2318yescomplemented
293#14519767C2318yescomplemented
294#14519767C2318yescomplemented
295#14519765C2318yescomplemented
296#14519765C2318yescomplemented
297#14519764C2318yescomplemented
298#14519764C2318yescomplemented
299#14519763C2318yes—
300#14519763C2318yescomplemented
301#14519763C2318yescomplemented
302#14519763C2318yescomplemented
303#14519763C2318yescomplemented
304#14519763C2318yescomplemented
305#14519762C2318yes—
306#14519762C2318yes—
307#14519762C2318yes—
308#14519762C2318yes—
309#14519762C2318yes—
310#14519762C2318yescomplemented
311#14519762C2318yescomplemented
312#14519762C2318yescomplemented
313#14519761C2318yes—
314#14519760C2318yes—
315#14519760C2318yescomplemented
316#14519760C2318yescomplemented
317#14519760C2318yescomplemented
318#14519760C2318yescomplemented
319#14519760C2318yescomplemented
320#14519759C2318yes—
321#14519759C2318yes—
322#14519759C2318yes—
323#14519759C2318yescomplemented
324#14519759C2318yescomplemented
325#14519759C2318yescomplemented
326#14519759C2318yescomplemented
327#14519759C2318yescomplemented
328#14519759C2318yescomplemented
329#14519759C2318yescomplemented
330#14519758C2318yescomplemented
331#14519758C2318yescomplemented
332#14519758C2318yescomplemented
333#14519757C2318yescomplemented
334#14519756C2318yescomplemented
335#14519756C2318yescomplemented
336#14519756C2318yescomplemented
337#14519755C2318yescomplemented
338#14519755C2318yescomplemented
339#14519755C2318yescomplemented
340#14519755C2318yescomplemented
341#14519755C2318yescomplemented
342#14519755C2318yescomplemented
343#14519755C2318yescomplemented
344#14519755C2318yescomplemented
345#14519754C2318yescomplemented
346#14519754C2318yescomplemented
347#14519754C2318yescomplemented
348#14519754C2318yescomplemented
349#14519752C2318yes—
350#14519752C2318yes—
351#14519752C2318yescomplemented
352#14519751C2318yes—
353#14519751C2318yes—
354#14519751C2318yescomplemented
355#14519750C2318yescomplemented
356#14519750C2318yescomplemented
357#14519750C2318yescomplemented
358#14519750C2318yescomplemented
359#14519749C2318yes—
360#14519749C2318yes—
361#14519749C2318yescomplemented
362#14519749C2318yescomplemented
363#14519749C2318yescomplemented
364#14519749C2318yescomplemented
365#14519748C2318yes—
366#14519748C2318yescomplemented
367#14519748C2318yescomplemented
368#14519748C2318yescomplemented
369#14519747C2318yes—
370#14519747C2318yes—
371#14519747C2318yes—
372#14519747C2318yescomplemented
373#14519747C2318yescomplemented
374#14519745C2318yes—
375#14519745C2318yes—
376#14519745C2318yes—
377#14519745C2318yescomplemented
378#14519745C2318yescomplemented
379C4×Dic122C2318yescomplemented
380#14519742C2318yescomplemented
381C4×D244C2318yescomplemented
382C4×D244C2318yescomplemented
383C4×D244C2318yescomplemented
384#14519739C2318yes—
385#14519739C2318yescomplemented
386#14519739C2318yescomplemented
387C4×C22⋊D61C2318yescomplemented
388C4×C22⋊D61C2318yescomplemented
389C4×C22⋊D61C2318yescomplemented
390C4×C22⋊D61C2318yescomplemented
391C4×C22⋊D61C2318yescomplemented
392C4×C22⋊D61C2318yescomplemented
393#14519737C2318yes—
394#14519737C2318yescomplemented
395#14519735C2318yescomplemented
396#14519734C2318yescomplemented
397#14519734C2318yescomplemented
398#14519734C2318yescomplemented
399#14519733C2318yescomplemented
400#14519733C2318yescomplemented
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×#11758196C2311yescharacteristic
410C2×#11758196C2311yescharacteristic
411C2×#11758196C2311yescharacteristic
412C2×#11758196C2311yescharacteristic
413C2×#11758196C2311yescharacteristic
414C2×#11758196C2311yescharacteristic
415C2×#11758196C2311yescharacteristic
416C2×#11758196C2311yescharacteristic
417C2×#11758196C2311yescharacteristic
418C2×#11758196C2311yescharacteristic
419C2×#11758196C2311yescharacteristic
420C2×#11758196C2311yescharacteristic
421C2×#11758196C2311yescharacteristic
422C2×#11758196C2311yescharacteristic
423C2×#11758196C2311yescharacteristic
424C2×#11758196C2311yescharacteristic
425C2×#11758196C2311yescharacteristic
426C2×#11758196C2311yescharacteristic
427C2×#11758196C2311yescharacteristic
428C2×#11758196C2311yescharacteristic
429C4⋊C4×D61C2318yescomplemented
430C4⋊C4×D61C2318yescomplemented
431C4⋊C4×D61C2318yescomplemented
432C2×C22⋊Dic61C2311yescharacteristic
433C2×C22⋊Dic61C2311yescharacteristic
434C2×C22⋊Dic61C2311yescharacteristic
435C2×C22⋊Dic61C2311yescharacteristic
436C2×C22⋊Dic61C2311yescharacteristic
437C2×C22⋊Dic61C2311yescharacteristic
438C2×C22⋊Dic61C2311yescharacteristic
439C2×C22⋊Dic61C2311yescharacteristic
440C2×C22⋊Dic61C2311yescharacteristic
441C2×C22⋊Dic61C2311yescharacteristic
442C2×C22⋊Dic61C2311yescharacteristic
443C2×C22⋊Dic61C2311yescharacteristic
444C2×#11758198C2311yescharacteristic
445C2×#11758198C2311yescharacteristic
446C2×#11758198C2311yescharacteristic
447C2×#11758198C2311yescharacteristic
448C2×#11758198C2311yescharacteristic
449C2×#11758198C2311yescharacteristic
450C2×#11758198C2311yescharacteristic
451C2×#11758198C2311yescharacteristic
452C2×#11758198C2311yescharacteristic
453C2×#11758198C2311yescharacteristic
454C2×#11758198C2311yescharacteristic
455C2×#11758198C2318yes—
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
473C2×#11758198C2318yescomplemented
474C22⋊C4×D61C2318yes—
475C22⋊C4×D61C2318yes—
476C22⋊C4×D61C2318yescomplemented
477C22⋊C4×D61C2318yescomplemented
478C2×C4×Dic61C2311yescharacteristic
479C2×C4×Dic61C2311yescharacteristic
480C2×C4×Dic61C2311yescharacteristic
481C2×C4×Dic61C2311yescharacteristic
482C2×C4×Dic61C2311yescharacteristic
483C2×C4×Dic61C2311yescharacteristic
484C2×C4×Dic61C2311yescharacteristic
485C22×D4×C61C2311yescharacteristic
486C22×D4×C61C2311yescharacteristic
487C22×D4×C61C2311yescharacteristic
488C22×D4×C61C2311yescharacteristic
489C22×D4×C61C2311yescharacteristic
490C22×D4×C61C2311yescharacteristic
491C23×C4×C61C2311yescharacteristic
492C23×C4×C61C2311yescharacteristic
493C23×C4×C61C2311yescharacteristic
494C23×C4×C61C2311yescharacteristic
495C23×C4×C61C2311yescharacteristic
496C23×C4×C61C2311yescharacteristic
497#126×C61C2318yescomplemented
498#126×C61C2318yescomplemented
499#125×C61C2318yescomplemented
500#123×C61C2318yescomplemented
501#123×C61C2318yescomplemented
502#121×C61C2318yes—
503#121×C61C2318yescomplemented
504#121×C61C2318yescomplemented
505#121×C61C2318yescomplemented
506C4×D4×C61C2318yescomplemented
507C4×D4×C61C2318yescomplemented
508C4×D4×C61C2318yescomplemented
509C4×D4×C61C2318yescomplemented
510#117×C61C2318yescomplemented
511C2×C4⋊C4×C61C2311yescharacteristic
512C2×C4⋊C4×C61C2311yescharacteristic
513C2×C4⋊C4×C61C2311yescharacteristic
514C2×C4⋊C4×C61C2311yescharacteristic
515C2×C4⋊C4×C61C2311yescharacteristic
516C2×C4⋊C4×C61C2311yescharacteristic
517C2×C4⋊C4×C61C2311yescharacteristic
518C2×C4⋊C4×C61C2311yescharacteristic
519C2×C4⋊C4×C61C2311yescharacteristic
520C2×C4⋊C4×C61C2311yescharacteristic
521C2×C4⋊C4×C61C2318yescomplemented
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×C42×C61C2311yescharacteristic
533C2×C42×C61C2311yescharacteristic
534C2×C42×C61C2311yescharacteristic
535C24×C61C2411yescharacteristic
536C24×C61C2411yescharacteristic
537C24×C61C2411yescharacteristic
538C24×C61C2411yescharacteristic
539C23×D61—24no—
540C23×D61—24no—
541C23×D61—42no—
542C23×D61—42no—
543C23×D61—42no—
544C23×D61—42no—
545C23×D61—42no—
546C23×D61—42no—
547C23×D61—42no—
548C23×D61C2411yescharacteristic
549C23×D61C2411yescharacteristic
550C23×D61C2411yescharacteristic
551C23×D61C2411yescharacteristic
552C23×D61C2411yescharacteristic
553C23×D61C2414yes—
554C23×D61C2414yes—
555C23×D61C2414yes—
556C2×D4×C61—42no—
557C2×D4×C61—42no—
558C2×D4×C61—42no—
559C2×D4×C61—42no—
560C2×D4×C61—42no—
561C2×D4×C61—42no—
562C2×D4×C61C2414yes—
563C2×D4×C61C2414yes—
564C2×D4×C61C2414yes—
565C2×D4×C61C2414yes—
566C2×D4×C61C2414yes—
567C2×D4×C61C2414yes—
568C22×C4×C61—42no—
569C22×C4×C61—42no—
570C22×C4×C61—42no—
571C22×C4×C61—42no—
572C22×C4×C61—42no—
573C22×C4×C61—42no—
574C22×C4×C61C2411yescharacteristic
575C22×C4×C61C2411yescharacteristic
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×C61C2414yes—
586C22×C4×C61C2414yes—
587C22×C4×C61C2414yes—
588C22×C4×C61C2414yes—
589C22×C4×C61C2414yes—
590C22×C4×C61C2414yes—
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⋊D61C2414yes—
606C2×C22⋊D61C2414yes—
607C2×C22⋊D61C2414yes—
608C2×C22⋊D61C2414yes—
609C2×C22⋊D61C2414yes—
610C2×C22⋊D61C2414yes—
611C2×C22⋊D61C2414yes—
612C2×C22⋊D61C2414yes—
613C2×C22⋊D61C2414yes—
614C2×C22⋊D61C2414yes—
615C2×C22⋊D61C2414yes—
616C2×C22⋊D61C2414yes—
617C2×C22⋊D61C2414yes—
618C2×C22⋊D61C2414yes—
619C22×Dic61—42no—
620C22×Dic61—42no—
621C22×Dic61—42no—
622C22×Dic61C2411yescharacteristic
623C22×Dic61C2411yescharacteristic
624C22×Dic61C2411yescharacteristic
625C22×Dic61C2411yescharacteristic
626C22×Dic61C2411yescharacteristic
627C22×Dic61C2411yescharacteristic
628C22×Dic61C2411yescharacteristic
629C22×Dic61C2411yescharacteristic
630C22×Dic61C2411yescharacteristic
631C22×Dic61C2411yescharacteristic
632C22×Dic61C2411yescharacteristic
633C22×Dic61C2414yes—
634C22×Dic61C2414yes—
635C22×Dic61C2414yes—
636D4×D61—416no—
637D4×D61—416no—
638#11758222—416no—
639#11758222—416no—
640#11758222—416no—
641C2×D244—24no—
642C2×D244—24no—
643C2×D244—42no—
644C2×D244—42no—
645C2×D244—42no—
646C2×D244—42no—
647C2×D244—42no—
648C2×D244C2414yes—
649C2×D244C2414yes—
650C2×D244C2414yes—
651C2×D244C2414yes—
652C2×D244C2414yes—
653C2×D244C2414yes—
654C2×D244C2414yes—
655C2×C4×D61—24no—
656C2×C4×D61—24no—
657C2×C4×D61—24no—
658C2×C4×D61—416no—
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×D61—42no—
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×Dic122—42no—
683C2×Dic122—42no—
684C2×Dic122—42no—
685C2×Dic122—42no—
686C2×Dic122—42no—
687C2×Dic122C2414yes—
688C2×Dic122C2414yes—
689C2×Dic122C2414yes—
690C2×Dic122C2414yes—
691C2×Dic122C2414yes—
692C4⋊C4×C61C2414yes—
693C4⋊C4×C61C2414yes—
694C4⋊C4×C61C2414yes—
695C4⋊C4×C61C2414yes—
696C4⋊C4×C61C2414yes—
697C4⋊C4×C61C2414yes—
698C4⋊C4×C61C2414yes—
699C4⋊C4×C61C2414yes—
700C4⋊C4×C61C2414yes—
701C4⋊C4×C61C2414yes—
702C22⋊C4×C61C2414yes—
703C22⋊C4×C61C2414yes—
704C22⋊C4×C61C2414yes—
705C22⋊C4×C61C2414yes—
706C22⋊C4×C61C2414yes—
707C22⋊C4×C61C2414yes—
708C22⋊C4×C61C2414yes—
709C22⋊C4×C61C2414yes—
710C22⋊C4×C61C2414yes—
711C22⋊C4×C61C2414yes—
712C42×C61C2414yes—
713C42×C61C2414yes—
714C42×C61C2414yes—
715C22⋊Dic61C2414yes—
716C22⋊Dic61C2414yes—
717C22⋊Dic61C2414yes—
718C22⋊Dic61C2414yes—
719C22⋊Dic61C2414yes—
720C22⋊Dic61C2414yes—
721C22⋊Dic61C2414yes—
722C22⋊Dic61C2414yes—
723C22⋊Dic61C2414yes—
724C22⋊Dic61C2414yes—
725C22⋊Dic61C2414yes—
726C22⋊Dic61C2414yes—
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—
755C4⋊Dic61C2414yes—
756C4⋊Dic61C2414yes—
757C4⋊Dic61C2414yes—
758C4⋊Dic61C2414yes—
759C4⋊Dic61C2414yes—
760C4⋊Dic61C2414yes—
761C4⋊Dic61C2414yes—
762C4⋊Dic61C2414yes—
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—
782#11758196C2414yes—
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×C61C2512yes—
803C23×C61C2512yes—
804C23×C61C2512yes—
805C23×C61C2512yes—
806C23×C61C2511yescharacteristic
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—22no—
821C22×D61—28no—
822C22×D61—28no—
823C22×D61—44no—
824C22×D61—44no—
825C22×D61—44no—
826C22×D61—44no—
827C22×D61—44no—
828C22×D61—44no—
829C22×D61—44no—
830C22×D61—416no—
831C22×D61—88no—
832C22×D61—88no—
833C22×D61H(5,𝔽2)14yes—
834C22×D61C2512yes—
835C22×D61C2512yes—
836C22×D61C2512yes—
837C22×D61C2512yes—
838C22×D61C2512yes—
839D4×C61—44no—
840D4×C61—44no—
841D4×C61—44no—
842D4×C61—44no—
843D4×C61—44no—
844D4×C61—44no—
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—22no—
856C2×C4×C61—44no—
857C2×C4×C61—44no—
858C2×C4×C61—44no—
859C2×C4×C61—44no—
860C2×C4×C61—44no—
861C2×C4×C61—44no—
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—
872C2×C4×C61C2512yes—
873C22⋊D61—28no—
874C22⋊D61—28no—
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—44no—
899C2×Dic61—44no—
900C2×Dic61—44no—
901C2×Dic61C2512yes—
902C2×Dic61C2512yes—
903C2×Dic61C2512yes—
904C2×Dic61C2512yes—
905C2×Dic61C2512yes—
906C2×Dic61C2512yes—
907C2×Dic61C2512yes—
908C2×Dic61C2512yes—
909C2×Dic61C2512yes—
910C2×Dic61C2512yes—
911C2×Dic61C2512yes—
912D244—28no—
913D244—28no—
914D244—44no—
915D244—44no—
916D244—44no—
917D244—44no—
918D244—44no—
919C4×D61—28no—
920C4×D61—28no—
921C4×D61—28no—
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—
932Dic122—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—44no—
951C22×C61—44no—
952C22×C61—44no—
953C22×C61—44no—
954C22×C61C2×H(5,𝔽2)12yes—
955C22×C61#58512yes—
956C22×C61#58512yes—
957C22×C61C2611yescharacteristic
958C2×D61—22no—
959C2×D61—22no—
960C2×D61—28no—
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—22no—
973C2×D61—416no—
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—
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×#553D6111yescharacteristic, complemented
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×#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—42no—
1039C2×C61#353314yescomplemented
1040C2×C61C22×H(5,𝔽2)11yescharacteristic
1041C2×C61C2×#58511yescharacteristic
1042C2×C61C2×#58511yescharacteristic
1043D61—24no—
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#553C2×D61116yescomplemented
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#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×#125—611no—
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—611no—
1122C2×#123—611no—
1123C2×#123—611no—
1124C2×#123—611no—
1125C2×#123—6116no—
1126C2×#123—611no—
1127C2×#123—611no—
1128C2×#123—611no—
1129C2×#123—611no—
1130C2×#123—611no—
1131C2×#123—611no—
1132C2×#123—611no—
1133C2×#123—611no—
1134C2×#123—611no—
1135C2×#123—611no—
1136C2×#123—611no—
1137C2×#123—611no—
1138C2×#123—611no—
1139C2×#123—611no—
1140C2×#123—611no—
1141C2×#123—611no—
1142C2×#123—611no—
1143C2×#123—611no—
1144C2×#123—611no—
1145C2×#123C2×D6111yescharacteristic, complemented
1146C2×#123C2×D6111yescharacteristic, complemented
1147C2×C22⋊Q8—611no—
1148C2×C22⋊Q8—611no—
1149C2×C22⋊Q8—611no—
1150C2×C22⋊Q8—611no—
1151C2×C22⋊Q8—611no—
1152C2×C22⋊Q8—611no—
1153C2×C22⋊Q8—611no—
1154C2×C22⋊Q8—611no—
1155C2×C22⋊Q8—611no—
1156C2×C22⋊Q8—611no—
1157C2×C22⋊Q8—611no—
1158C2×C22⋊Q8—611no—
1159C2×C22⋊Q8—611no—
1160C2×C22⋊Q8—611no—
1161C2×C22⋊Q8—611no—
1162C2×C22⋊Q8—611no—
1163C2×#121—611no—
1164C2×#121—611no—
1165C2×#121—611no—
1166C2×#121—611no—
1167C2×#121—611no—
1168C2×#121—611no—
1169C2×#121—611no—
1170C2×#121—611no—
1171C2×#121—611no—
1172C2×#121—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×#121C2×D6111yescharacteristic
1184C2×#121C2×D6111yescharacteristic, complemented
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×#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×D4C2×D6111yescharacteristic, complemented
1214C2×C4×D4C2×D6111yescharacteristic, complemented
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×#117C2×D6111yescharacteristic, complemented
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×Q8—611no—
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—618no—
1264C22×D4—618no—
1265C22×D4—611no—
1266C22×D4—611no—
1267C22×D4—611no—
1268C22×D4—611no—
1269C22×D4—611no—
1270C22×D4—611no—
1271C22×D4—611no—
1272C22×D4—2444no—
1273C22×D4—2444no—
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—618no—
1297C23×C4—2444no—
1298C23×C4C22×D6111yescharacteristic
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#125—618no—
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#123—618no—
1363#123—618no—
1364#123C22×D6118yescomplemented
1365#123C22×D6118yescomplemented
1366C22⋊Q8—618no—
1367C22⋊Q8—618no—
1368C22⋊Q8—618no—
1369C22⋊Q8—618no—
1370C22⋊Q8—618no—
1371C22⋊Q8—618no—
1372C22⋊Q8—618no—
1373C22⋊Q8—618no—
1374C22⋊Q8—618no—
1375C22⋊Q8—618no—
1376C22⋊Q8—618no—
1377C22⋊Q8—618no—
1378C22⋊Q8—618no—
1379C22⋊Q8—618no—
1380C22⋊Q8—618no—
1381C22⋊Q8—618no—
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#121C22×D6118yes—
1403#121C22×D6118yescomplemented
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#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×D4C22×D6118yescomplemented
1433C4×D4C22×D6118yescomplemented
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#117C22×D6118yescomplemented
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—611no—
1468C2×C4⋊C4—611no—
1469C2×C4⋊C4—611no—
1470C2×C4⋊C4—611no—
1471C2×C4⋊C4—618no—
1472C2×C4⋊C4—618no—
1473C2×C4⋊C4—618no—
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—618no—
1512C2×C22⋊C4—618no—
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—611no—
1526C2×C22⋊C4—611no—
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×C42C22×D6111yescharacteristic
1549C2×C42C22×D6111yescharacteristic
1550C2×C42C22×D6111yescharacteristic
1551C24—611no—
1552C24—611no—
1553C24—611no—
1554C24—611no—
1555C24—611no—
1556C24—614no—
1557C24—614no—
1558C24—614no—
1559C24—1224no—
1560C24—1224no—
1561C24—2442no—
1562C24—2442no—
1563C24—2442no—
1564C24—2442no—
1565C24—2442no—
1566C24—2442no—
1567C24—2442no—
1568C24C23×D6111yescharacteristic
1569C24C23×D6111yescharacteristic
1570C24C23×D6111yescharacteristic
1571C24C23×D6111yescharacteristic
1572#41—24416no—
1573#41—24416no—
1574#41—24416no—
1575C2×Q8—614no—
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×Q8—2442no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
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—24416no—
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—2442no—
1634C2×D4—24416no—
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—42no—
1646C22×C4—42no—
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—611no—
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—1224no—
1675C22×C4—1224no—
1676C22×C4—1224no—
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—24416no—
1688C22×C4—2442no—
1689C22×C4—2442no—
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×D6114yes—
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⋊C4—614no—
1733C4⋊C4—614no—
1734C4⋊C4—614no—
1735C4⋊C4—614no—
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—
1803C42C23×D6114yes—
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—614no—
1819C23—612no—
1820C23—612no—
1821C23—612no—
1822C23—612no—
1823C23—612no—
1824C23—1228no—
1825C23—1228no—
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—4888no—
1841C23—4888no—
1842C23—2444no—
1843C23—2444no—
1844C23—2444no—
1845C23—2444no—
1846C23—2444no—
1847C23—2444no—
1848C23—2444no—
1849C23—24416no—
1850C23C24×D6112yes—
1851C23C24×D6112yes—
1852C23C24×D6112yes—
1853C23C24×D6112yes—
1854C23C24×D6111yescharacteristic
1855Q8—2444no—
1856Q8—2444no—
1857Q8—2444no—
1858Q8—2444no—
1859Q8—2444no—
1860D4—44no—
1861D4—44no—
1862D4—44no—
1863D4—44no—
1864D4—44no—
1865D4—44no—
1866D4—1228no—
1867D4—1228no—
1868D4—1228no—
1869D4—1228no—
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—44no—
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—612no—
1915C2×C4—1228no—
1916C2×C4—1228no—
1917C2×C4—1228no—
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—1222no—
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×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—22no—
1963C22—22no—
1964C22—22no—
1965C22—44no—
1966C22—44no—
1967C22—44no—
1968C22—44no—
1969C22—614no—
1970C22—1228no—
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—1222no—
1985C22—4888no—
1986C22—4888no—
1987C22—24416no—
1988C22—2444no—
1989C22—2444no—
1990C22—2444no—
1991C22—2444no—
1992C22H(5,𝔽2)×D6112yes—
1993C22#1684059812yes—
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—22no—
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—1224no—
2023C2—2442no—
2024C2—2442no—
2025C2—2442no—
2026C2—2442no—
2027C2#2145997714yesdirect product factor
2028C2C2×H(5,𝔽2)×D6111yescharacteristic
2029C2C2×#1684059811yescharacteristic
2030C2C2×#1684059811yescharacteristic
subgroupG/H
centerC23C24×D61
commutator, cosocleC22×C61C26
FrattiniC22C25×D61
FittingC2×C61×#553C2
socleC23×C61C25
hypercenterC2×#553D61
hypocenterC61C2×#3533
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#553

Complements

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

NH ≅ G/Ntype
1. #21459977C2direct (N × H)
2. C2×#16840514C2semidirect
3. C2×#16840507C2semidirect
4. C2×#16840507C2semidirect
5. C2×#16840500C2semidirect
6. C2×#16840495C2semidirect
7. C2×#16840457C2semidirect
8. C2×#16840448C2semidirect
9. C2×#16840444C2semidirect
10. C2×#16840441C2semidirect
11. C2×#16840441C2semidirect
12. C2×#16840436C2semidirect
13. C2×#16840417C2semidirect
14. C2×#16840413C2semidirect
15. C2×#16840409C2semidirect
16. C2×#16840404C2semidirect
17. C2×#16840383C2semidirect
18. C2×#16840380C2semidirect
19. C2×#16840363C2semidirect
20. C2×#16840362C2semidirect
21. C2×#16840360C2semidirect
22. C2×#16840359C2semidirect
23. C2×#16840351C2semidirect
24. C2×#16840351C2semidirect
25. C2×#16840345C2semidirect
26. C2×#16840344C2semidirect
27. C2×#16840328C2semidirect
28. C2×#16840320C2semidirect
29. C2×#16840271C2semidirect
30. C2×#16840271C2semidirect
31. C2×#123×D61C2semidirect
32. C2×C61×#553C2semidirect
35. C22×#11758222C22semidirect
38. C23×C4×D61C22semidirect
39. #16840514C22semidirect
40. #16840507C22semidirect
41. #16840507C22semidirect
42. #16840500C22semidirect
43. #16840495C22semidirect
44. #16840457C22semidirect
45. #16840448C22semidirect
46. #16840444C22semidirect
47. #16840441C22semidirect
48. #16840441C22semidirect
49. #16840436C22semidirect
50. #16840417C22semidirect
51. #16840413C22semidirect
52. #16840409C22semidirect
53. #16840404C22semidirect
54. #16840383C22semidirect
55. #16840380C22semidirect
56. #16840363C22semidirect
57. #16840362C22semidirect
58. #16840360C22semidirect
59. #16840359C22semidirect
60. #16840351C22semidirect
61. #16840351C22semidirect
62. #16840345C22semidirect
63. #16840344C22semidirect
64. #16840328C22semidirect
65. #16840320C22semidirect
66. C2×#14519777C22semidirect
67. C2×#14519776C22semidirect
69. C2×#14519773C22semidirect
70. C2×#14519772C22semidirect
71. C2×#14519772C22semidirect
72. C2×#14519772C22semidirect
73. C2×#14519772C22semidirect
74. C2×#14519772C22semidirect
75. C2×#14519772C22semidirect
76. C2×#14519771C22semidirect
77. C2×#14519771C22semidirect
78. C2×#14519770C22semidirect
79. C2×#14519770C22semidirect
80. C2×#14519768C22semidirect
81. C2×#14519767C22semidirect
82. C2×#14519767C22semidirect
83. C2×#14519767C22semidirect
84. C2×#14519767C22semidirect
85. C2×#14519765C22semidirect
86. C2×#14519765C22semidirect
87. C2×#14519764C22semidirect
88. C2×#14519764C22semidirect
90. C2×#14519763C22semidirect
91. C2×#14519763C22semidirect
92. C2×#14519763C22semidirect
93. C2×#14519763C22semidirect
94. C2×#14519763C22semidirect
95. #16840271C22semidirect
96. #16840271C22semidirect
102. C2×#14519762C22semidirect
103. C2×#14519762C22semidirect
104. C2×#14519762C22semidirect
107. C2×#14519760C22semidirect
108. C2×#14519760C22semidirect
109. C2×#14519760C22semidirect
110. C2×#14519760C22semidirect
111. C2×#14519760C22semidirect
115. C2×#14519759C22semidirect
116. C2×#14519759C22semidirect
117. C2×#14519759C22semidirect
118. C2×#14519759C22semidirect
119. C2×#14519759C22semidirect
120. C2×#14519759C22semidirect
121. C2×#14519759C22semidirect
122. C2×#14519758C22semidirect
123. C2×#14519758C22semidirect
124. C2×#14519758C22semidirect
125. #123×D61C22semidirect
126. C2×#14519757C22semidirect
127. C2×#14519756C22semidirect
128. C2×#14519756C22semidirect
129. C2×#14519756C22semidirect
130. C2×#14519755C22semidirect
131. C2×#14519755C22semidirect
132. C2×#14519755C22semidirect
133. C2×#14519755C22semidirect
134. C2×#14519755C22semidirect
135. C2×#14519755C22semidirect
136. C2×#14519755C22semidirect
137. C2×#14519755C22semidirect
138. C2×#14519754C22semidirect
139. C2×#14519754C22semidirect
140. C2×#14519754C22semidirect
141. C2×#14519754C22semidirect
144. C2×#14519752C22semidirect
147. C2×#14519751C22semidirect
148. C2×#14519750C22semidirect
149. C2×#14519750C22semidirect
150. C2×#14519750C22semidirect
151. C2×#14519750C22semidirect
154. C2×#14519749C22semidirect
155. C2×#14519749C22semidirect
156. C2×#14519749C22semidirect
157. C2×#14519749C22semidirect
159. C2×#14519748C22semidirect
160. C2×#14519748C22semidirect
161. C2×#14519748C22semidirect
165. C2×#14519747C22semidirect
166. C2×#14519747C22semidirect
170. C2×#14519745C22semidirect
171. C2×#14519745C22semidirect
172. C2×C4×Dic122C22semidirect
173. C2×#14519742C22semidirect
174. C2×C4×D244C22semidirect
175. C2×C4×D244C22semidirect
176. C2×C4×D244C22semidirect
178. C2×#14519739C22semidirect
179. C2×#14519739C22semidirect
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×C4×C22⋊D61C22semidirect
187. C2×#14519737C22semidirect
188. C2×#14519735C22semidirect
189. C2×#14519734C22semidirect
190. C2×#14519734C22semidirect
191. C2×#14519734C22semidirect
192. C2×#14519733C22semidirect
193. C2×#14519733C22semidirect
194. C2×C4⋊C4×D61C22semidirect
195. C2×C4⋊C4×D61C22semidirect
196. C2×C4⋊C4×D61C22semidirect
198. C22×#11758198C22semidirect
201. C2×C22⋊C4×D61C22semidirect
202. C2×C22⋊C4×D61C22semidirect
203. C61×#553C22semidirect
204. C2×#126×C61C22semidirect
205. C2×#126×C61C22semidirect
206. C2×#125×C61C22semidirect
207. C2×#123×C61C22semidirect
208. C2×#123×C61C22semidirect
210. C2×#121×C61C22semidirect
211. C2×#121×C61C22semidirect
212. C2×#121×C61C22semidirect
213. C2×C4×D4×C61C22semidirect
214. C2×C4×D4×C61C22semidirect
215. C2×C4×D4×C61C22semidirect
216. C2×C4×D4×C61C22semidirect
217. C2×#117×C61C22semidirect
218. C22×C4⋊C4×C61C22semidirect
227. C2×#11758222C23semidirect
275. C22×C4×D61C23semidirect
276. #14519777C23semidirect
277. #14519776C23semidirect
279. #14519773C23semidirect
280. #14519772C23semidirect
281. #14519772C23semidirect
282. #14519772C23semidirect
283. #14519772C23semidirect
284. #14519772C23semidirect
285. #14519772C23semidirect
286. #14519771C23semidirect
287. #14519771C23semidirect
288. #14519770C23semidirect
289. #14519770C23semidirect
290. #14519768C23semidirect
291. #14519767C23semidirect
292. #14519767C23semidirect
293. #14519767C23semidirect
294. #14519767C23semidirect
295. #14519765C23semidirect
296. #14519765C23semidirect
297. #14519764C23semidirect
298. #14519764C23semidirect
300. #14519763C23semidirect
301. #14519763C23semidirect
302. #14519763C23semidirect
303. #14519763C23semidirect
304. #14519763C23semidirect
310. #14519762C23semidirect
311. #14519762C23semidirect
312. #14519762C23semidirect
315. #14519760C23semidirect
316. #14519760C23semidirect
317. #14519760C23semidirect
318. #14519760C23semidirect
319. #14519760C23semidirect
323. #14519759C23semidirect
324. #14519759C23semidirect
325. #14519759C23semidirect
326. #14519759C23semidirect
327. #14519759C23semidirect
328. #14519759C23semidirect
329. #14519759C23semidirect
330. #14519758C23semidirect
331. #14519758C23semidirect
332. #14519758C23semidirect
333. #14519757C23semidirect
334. #14519756C23semidirect
335. #14519756C23semidirect
336. #14519756C23semidirect
337. #14519755C23semidirect
338. #14519755C23semidirect
339. #14519755C23semidirect
340. #14519755C23semidirect
341. #14519755C23semidirect
342. #14519755C23semidirect
343. #14519755C23semidirect
344. #14519755C23semidirect
345. #14519754C23semidirect
346. #14519754C23semidirect
347. #14519754C23semidirect
348. #14519754C23semidirect
351. #14519752C23semidirect
354. #14519751C23semidirect
355. #14519750C23semidirect
356. #14519750C23semidirect
357. #14519750C23semidirect
358. #14519750C23semidirect
361. #14519749C23semidirect
362. #14519749C23semidirect
363. #14519749C23semidirect
364. #14519749C23semidirect
366. #14519748C23semidirect
367. #14519748C23semidirect
368. #14519748C23semidirect
372. #14519747C23semidirect
373. #14519747C23semidirect
377. #14519745C23semidirect
378. #14519745C23semidirect
379. C4×Dic122C23semidirect
380. #14519742C23semidirect
381. C4×D244C23semidirect
382. C4×D244C23semidirect
383. C4×D244C23semidirect
385. #14519739C23semidirect
386. #14519739C23semidirect
387. C4×C22⋊D61C23semidirect
388. C4×C22⋊D61C23semidirect
389. C4×C22⋊D61C23semidirect
390. C4×C22⋊D61C23semidirect
391. C4×C22⋊D61C23semidirect
392. C4×C22⋊D61C23semidirect
394. #14519737C23semidirect
395. #14519735C23semidirect
396. #14519734C23semidirect
397. #14519734C23semidirect
398. #14519734C23semidirect
399. #14519733C23semidirect
400. #14519733C23semidirect
429. C4⋊C4×D61C23semidirect
430. C4⋊C4×D61C23semidirect
431. C4⋊C4×D61C23semidirect
473. C2×#11758198C23semidirect
476. C22⋊C4×D61C23semidirect
477. C22⋊C4×D61C23semidirect
497. #126×C61C23semidirect
498. #126×C61C23semidirect
499. #125×C61C23semidirect
500. #123×C61C23semidirect
501. #123×C61C23semidirect
503. #121×C61C23semidirect
504. #121×C61C23semidirect
505. #121×C61C23semidirect
506. C4×D4×C61C23semidirect
507. C4×D4×C61C23semidirect
508. C4×D4×C61C23semidirect
509. C4×D4×C61C23semidirect
510. #117×C61C23semidirect
521. C2×C4⋊C4×C61C23semidirect
1010. C2×#553D61semidirect
1039. C2×C61#3533semidirect
1060. #553C2×D61semidirect
1096. C2×#126C2×D61semidirect
1097. C2×#126C2×D61semidirect
1103. C2×#125C2×D61semidirect
1145. C2×#123C2×D61semidirect
1146. C2×#123C2×D61semidirect
1184. C2×#121C2×D61semidirect
1185. C2×#121C2×D61semidirect
1186. C2×#121C2×D61semidirect
1213. C2×C4×D4C2×D61semidirect
1214. C2×C4×D4C2×D61semidirect
1215. C2×C4×D4C2×D61semidirect
1216. C2×C4×D4C2×D61semidirect
1223. C2×#117C2×D61semidirect
1227. C22×C4⋊C4C2×D61semidirect
1234. C61C2×#3533semidirect
1318. #126C22×D61semidirect
1319. #126C22×D61semidirect
1325. #125C22×D61semidirect
1364. #123C22×D61semidirect
1365. #123C22×D61semidirect
1403. #121C22×D61semidirect
1404. #121C22×D61semidirect
1405. #121C22×D61semidirect
1432. C4×D4C22×D61semidirect
1433. C4×D4C22×D61semidirect
1434. C4×D4C22×D61semidirect
1435. C4×D4C22×D61semidirect
1442. #117C22×D61semidirect
1484. C2×C4⋊C4C22×D61semidirect
2027. C2#21459977direct (N × H)

Maximal subgroups

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

subgroupindex
#214599772
C2×#168405142
C2×#168405072
C2×#168405002
C2×#168404952
C2×#168404572
C2×#168404482
C2×#168404442
C2×#168404412
C2×#168404362
C2×#168404172
C2×#168404132
C2×#168404092
C2×#168404042
C2×#168403832
C2×#168403802
C2×#168403632
C2×#168403622
C2×#168403602
C2×#168403592
C2×#168403512
C2×#168403452
C2×#168403442
C2×#168403282
C2×#168403202
C2×#168402712
C2×#123×D612
C2×C61×#5532
C2×#353361