Finite Group Databasebeta

← C2×#13129149 #16770059

Subgroups — C2×#13129149 #16770059

Order 3328.

8122 conjugacy classes of subgroups.

The subgroup lattice has 2160 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129149C2132yesmaximal, direct product factor
2C2×#11719352C211yesmaximal, characteristic, complemented
3C2×#11719371C211yesmaximal, characteristic, complemented
4C2×#11719325C211yesmaximal, characteristic, complemented
5C2×#11719375C211yesmaximal, characteristic, complemented
6C2×#11719366C211yesmaximal, characteristic, complemented
7C2×#11719398C211yesmaximal, characteristic, complemented
8C2×#11719384C211yesmaximal, characteristic, complemented
9C2×#11719342C211yesmaximal, characteristic, complemented
10C2×#11719304C211yesmaximal, characteristic, complemented
11C2×#11719336C211yesmaximal, characteristic, complemented
12C2×#11719359C211yesmaximal, characteristic, complemented
13C2×#11719359C211yesmaximal, characteristic, complemented
14C2×#11719335C211yesmaximal, characteristic, complemented
15C2×#11719315C211yesmaximal, characteristic, complemented
16C2×#11719314C211yesmaximal, characteristic, complemented
17C2×#11719345C211yesmaximal, characteristic, complemented
18C2×#11719403C211yesmaximal, characteristic, complemented
19C2×#11719368C211yesmaximal, characteristic, complemented
20C2×#11719320C211yesmaximal, characteristic, complemented
21C2×#11719349C211yesmaximal, characteristic, complemented
22C2×#11719362C211yesmaximal, characteristic, complemented
23C2×#11719334C211yesmaximal, characteristic, complemented
24C2×#11719379C211yesmaximal, characteristic, complemented
25C2×#11719379C211yesmaximal, characteristic, complemented
26C2×#11719312C211yesmaximal, characteristic, complemented
27C2×#11719358C211yesmaximal, characteristic, complemented
28C2×#11719310C211yesmaximal, characteristic, complemented
29C2×#11719332C211yesmaximal, characteristic, complemented
30C2×#11719361C211yesmaximal, characteristic, complemented
31C2×D13×#121C211yesmaximal, characteristic, complemented
32C2×C13×#562C211yesmaximal, characteristic, complemented
33C22×#6131C2211yescharacteristic, complemented
34C22×#6131C2211yescharacteristic, complemented
35C22×#6129C2211yescharacteristic, complemented
36C22×D4×D13C2211yescharacteristic
37C22×D4×D13C2211yescharacteristic
38C22×D4×D13C2211yescharacteristic, complemented
39C22×D4×D13C2211yescharacteristic, complemented
40C22×D4×D13C2211yescharacteristic, complemented
41C22×#6127C2211yescharacteristic, complemented
42C22×#6127C2211yescharacteristic, complemented
43C23×D52C2211yescharacteristic
44C23×C4×D13C2211yescharacteristic, complemented
45C13×#562C22116yescomplemented
46C2×C13×#125C2211yescharacteristic, complemented
47C2×C13×#124C2211yescharacteristic, complemented
48C2×C13×#124C2211yescharacteristic, complemented
49C2×C13×#123C2211yescharacteristic, complemented
50C2×C13×#123C2211yescharacteristic, complemented
51C2×C13×#123C2211yescharacteristic, complemented
52C2×C13×#123C2211yescharacteristic, complemented
53C2×C13×C22⋊Q8C2211yescharacteristic, complemented
54C2×C13×C22⋊Q8C2211yescharacteristic, complemented
55C2×C13×C22⋊Q8C2211yescharacteristic, complemented
56C2×C13×C22⋊Q8C2211yescharacteristic, complemented
57C2×C13×#121C2211yescharacteristic, complemented
58C2×C13×#121C2211yescharacteristic, complemented
59C2×C13×#121C2211yescharacteristic, complemented
60C2×C13×#121C2211yescharacteristic, complemented
61C2×#88201C2211yescharacteristic, complemented
62C2×#88201C2211yescharacteristic, complemented
63C2×#88201C2211yescharacteristic, complemented
64C2×#88200C2211yescharacteristic, complemented
65C2×#88200C2211yescharacteristic, complemented
66C2×#88198C2211yescharacteristic, complemented
67C2×#88194C2211yescharacteristic, complemented
68C2×#88194C2211yescharacteristic, complemented
69C2×#88194C2211yescharacteristic, complemented
70C2×#88194C2211yescharacteristic, complemented
71C2×#88193C2211yescharacteristic
72C2×#88193C2211yescharacteristic, complemented
73C2×#88193C2211yescharacteristic, complemented
74C2×#88193C2211yescharacteristic, complemented
75C2×#88193C2211yescharacteristic, complemented
76C2×#88193C2211yescharacteristic, complemented
77C2×#88192C2211yescharacteristic, complemented
78C2×#88192C2211yescharacteristic, complemented
79C2×#88191C2211yescharacteristic
80C2×#88191C2211yescharacteristic, complemented
81C2×#88191C2211yescharacteristic, complemented
82C2×#88191C2211yescharacteristic, complemented
83C2×#88191C2211yescharacteristic, complemented
84C2×#88189C2211yescharacteristic, complemented
85C2×#88184C2211yescharacteristic, complemented
86C2×#88184C2211yescharacteristic, complemented
87C2×#88184C2211yescharacteristic, complemented
88C2×#88184C2211yescharacteristic, complemented
89C2×#88183C2211yescharacteristic, complemented
90C2×#88183C2211yescharacteristic, complemented
91C2×C4×C22⋊D13C2211yescharacteristic, complemented
92C2×C4×C22⋊D13C2211yescharacteristic, complemented
93C2×C4×C22⋊D13C2211yescharacteristic, complemented
94C2×C4×C22⋊D13C2211yescharacteristic, complemented
95C22×#6103C2211yescharacteristic, complemented
96C22×#6103C2211yescharacteristic, complemented
97#11719403C22116yescomplemented
98#11719398C22116yescomplemented
99#11719384C22116yescomplemented
100#11719379C22116yescomplemented
101#11719379C22116yescomplemented
102#11719375C22116yescomplemented
103#11719371C22116yescomplemented
104#11719368C22116yescomplemented
105#11719366C22116yescomplemented
106#11719362C22116yescomplemented
107#11719361C22116yescomplemented
108#11719359C22116yescomplemented
109#11719359C22116yescomplemented
110#11719358C22116yescomplemented
111#11719352C22116yescomplemented
112#11719349C22116yescomplemented
113#11719345C22116yescomplemented
114#11719342C22116yescomplemented
115#11719336C22116yescomplemented
116#11719335C22116yescomplemented
117#11719334C22116yescomplemented
118#11719332C22116yescomplemented
119#11719325C22116yescomplemented
120#11719320C22116yescomplemented
121#11719315C22116yescomplemented
122#11719314C22116yescomplemented
123#11719312C22116yescomplemented
124#11719310C22116yescomplemented
125D13×#121C22116yescomplemented
126#11719304C22116yescomplemented
127C2×#88152C2211yescharacteristic, complemented
128C2×#88152C2211yescharacteristic, complemented
129C2×#88152C2211yescharacteristic, complemented
130C2×#88152C2211yescharacteristic, complemented
131C2×#88151C2211yescharacteristic, complemented
132C2×#88150C2211yescharacteristic, complemented
133C2×#88150C2211yescharacteristic, complemented
134C2×#88150C2211yescharacteristic, complemented
135C2×#88150C2211yescharacteristic, complemented
136C2×#88149C2211yescharacteristic
137C2×#88149C2211yescharacteristic, complemented
138C2×#88149C2211yescharacteristic, complemented
139C2×#88149C2211yescharacteristic, complemented
140C2×#88149C2211yescharacteristic, complemented
141C2×#88149C2211yescharacteristic, complemented
142C2×#88149C2211yescharacteristic, complemented
143C2×#88149C2211yescharacteristic, complemented
144C2×#88149C2211yescharacteristic, complemented
145C2×#88148C2211yescharacteristic
146C2×#88148C2211yescharacteristic
147C2×#88148C2211yescharacteristic, complemented
148C2×#88148C2211yescharacteristic, complemented
149C2×#88148C2211yescharacteristic, complemented
150C2×#88148C2211yescharacteristic, complemented
151C2×#88148C2211yescharacteristic, complemented
152C2×#88148C2211yescharacteristic, complemented
153C2×#88148C2211yescharacteristic, complemented
154C2×#88148C2211yescharacteristic, complemented
155C2×#88147C2211yescharacteristic
156C2×#88147C2211yescharacteristic, complemented
157C2×#88147C2211yescharacteristic, complemented
158C2×#88147C2211yescharacteristic, complemented
159C2×#88147C2211yescharacteristic, complemented
160C2×#88146C2211yescharacteristic, complemented
161C2×#88146C2211yescharacteristic, complemented
162C2×C4⋊C4×D13C2211yescharacteristic, complemented
163C2×C4⋊C4×D13C2211yescharacteristic, complemented
164C2×#88143C2211yescharacteristic, complemented
165C2×#88143C2211yescharacteristic, complemented
166C2×#88141C2211yescharacteristic, complemented
167C2×#88140C2211yescharacteristic, complemented
168C2×#88139C2211yescharacteristic, complemented
169C2×#88139C2211yescharacteristic, complemented
170C2×#88139C2211yescharacteristic, complemented
171C2×#88139C2211yescharacteristic, complemented
172C2×#88138C2211yescharacteristic
173C2×#88138C2211yescharacteristic
174C2×#88138C2211yescharacteristic, complemented
175C2×#88138C2211yescharacteristic, complemented
176C2×#88138C2211yescharacteristic, complemented
177C2×#88138C2211yescharacteristic, complemented
178C2×#88138C2211yescharacteristic, complemented
179C2×#88138C2211yescharacteristic, complemented
180C2×#88138C2211yescharacteristic, complemented
181C2×#88138C2211yescharacteristic, complemented
182C2×#88138C2211yescharacteristic, complemented
183C2×#88138C2211yescharacteristic, complemented
184C2×#88138C2211yescharacteristic, complemented
185C2×#88138C2211yescharacteristic, complemented
186C2×#88137C2211yescharacteristic, complemented
187C2×#88137C2211yescharacteristic, complemented
188C2×#88137C2211yescharacteristic, complemented
189C2×#88137C2211yescharacteristic, complemented
190C2×#88136C2211yescharacteristic
191C2×#88136C2211yescharacteristic
192C2×#88136C2211yescharacteristic, complemented
193C2×#88136C2211yescharacteristic, complemented
194C2×#88136C2211yescharacteristic, complemented
195C2×#88136C2211yescharacteristic, complemented
196C2×#88136C2211yescharacteristic, complemented
197C2×#88136C2211yescharacteristic, complemented
198C2×#88136C2211yescharacteristic, complemented
199C2×#88136C2211yescharacteristic, complemented
200C2×#88136C2211yescharacteristic, complemented
201C2×#88135C2211yescharacteristic, complemented
202C2×#88135C2211yescharacteristic, complemented
203C2×#88135C2211yescharacteristic, complemented
204C2×#88135C2211yescharacteristic, complemented
205C2×#88135C2211yescharacteristic, complemented
206C2×#88135C2211yescharacteristic, complemented
207C2×C22⋊C4×D13C2211yescharacteristic, complemented
208C2×C22⋊C4×D13C2211yescharacteristic, complemented
209C2×C22⋊C4×D13C2211yescharacteristic, complemented
210C2×C22⋊C4×D13C2211yescharacteristic, complemented
211C2×#88133C2211yescharacteristic, complemented
212C2×#88133C2211yescharacteristic, complemented
213C2×#88131C2211yescharacteristic, complemented
214C2×#88131C2211yescharacteristic, complemented
215C2×#88128C2211yescharacteristic, complemented
216C2×#88126C2211yescharacteristic, complemented
217C2×#88126C2211yescharacteristic, complemented
218C2×#88126C2211yescharacteristic, complemented
219C24×D13C2311yescharacteristic
220C24×D13C2311yescharacteristic
221C24×D13C2311yescharacteristic
222C24×D13C2311yescharacteristic
223C24×D13C2311yescharacteristic
224C22×Q8×C13C2311yescharacteristic
225C22×Q8×C13C2311yescharacteristic
226C22×D4×C13C2311yescharacteristic
227C22×D4×C13C2311yescharacteristic
228C22×D4×C13C2311yescharacteristic
229C22×D4×C13C2311yescharacteristic
230C22×D4×C13C2311yescharacteristic
231C22×D4×C13C2311yescharacteristic
232C23×C4×C13C2311yescharacteristic
233C23×C4×C13C2311yescharacteristic
234C23×C4×C13C2311yescharacteristic
235C23×C4×C13C2311yescharacteristic
236C22×C22⋊D13C2311yescharacteristic
237C22×C22⋊D13C2311yescharacteristic
238C22×C22⋊D13C2311yescharacteristic
239C22×C22⋊D13C2311yescharacteristic
240C22×C22⋊D13C2311yescharacteristic
241C22×C22⋊D13C2311yescharacteristic
242C22×C22⋊D13C2311yescharacteristic
243C22×C22⋊D13C2311yescharacteristic
244C22×C22⋊D13C2311yescharacteristic
245C22×C22⋊D13C2311yescharacteristic
246C22×C22⋊D13C2311yescharacteristic
247C22×C22⋊D13C2311yescharacteristic
248C22×C22⋊D13C2311yescharacteristic
249C22×C22⋊D13C2311yescharacteristic
250C22×C22⋊D13C2311yescharacteristic
251C22×C22⋊D13C2311yescharacteristic
252C22×C22⋊D13C2311yescharacteristic
253C22×C22⋊D13C2311yescharacteristic
254C23×Dic13C2311yescharacteristic
255C23×Dic13C2311yescharacteristic
256C23×Dic13C2311yescharacteristic
257C2×#6131—44no—
258C2×#6131—44no—
259C2×#6131C2318yescomplemented
260C2×#6131C2318yescomplemented
261C2×#6129—44no—
262C2×#6129C2318yescomplemented
263C2×D4×D13—44no—
264C2×D4×D13—44no—
265C2×D4×D13—44no—
266C2×D4×D13—44no—
267C2×D4×D13—44no—
268C2×D4×D13C2318yes—
269C2×D4×D13C2318yes—
270C2×D4×D13C2318yescomplemented
271C2×D4×D13C2318yescomplemented
272C2×D4×D13C2318yescomplemented
273C2×#6127—44no—
274C2×#6127—44no—
275C2×#6127C2318yescomplemented
276C2×#6127C2318yescomplemented
277C22×D52—44no—
278C22×D52C2311yescharacteristic
279C22×D52C2311yescharacteristic
280C22×D52C2311yescharacteristic
281C22×D52C2311yescharacteristic
282C22×D52C2311yescharacteristic
283C22×D52C2311yescharacteristic
284C22×D52C2311yescharacteristic
285C22×D52C2311yescharacteristic
286C22×D52C2311yescharacteristic
287C22×D52C2311yescharacteristic
288C22×D52C2311yescharacteristic
289C22×D52C2311yescharacteristic
290C22×D52C2311yescharacteristic
291C22×D52C2311yescharacteristic
292C22×D52C2311yescharacteristic
293C22×D52C2311yescharacteristic
294C22×D52C2318yes—
295C22×C4×D13—44no—
296C22×C4×D13C2311yescharacteristic
297C22×C4×D13C2311yescharacteristic
298C22×C4×D13C2311yescharacteristic
299C22×C4×D13C2311yescharacteristic
300C22×C4×D13C2311yescharacteristic
301C22×C4×D13C2311yescharacteristic
302C22×C4×D13C2311yescharacteristic
303C22×C4×D13C2311yescharacteristic
304C22×C4×D13C2311yescharacteristic
305C22×C4×D13C2311yescharacteristic
306C22×C4×D13C2311yescharacteristic
307C22×C4×D13C2311yescharacteristic
308C22×C4×D13C2311yescharacteristic
309C22×C4×D13C2311yescharacteristic
310C22×C4×D13C2311yescharacteristic
311C22×C4×D13C2318yescomplemented
312C22×Dic26C2311yescharacteristic
313C22×Dic26C2311yescharacteristic
314C13×#125C2318yescomplemented
315C13×#124C2318yescomplemented
316C13×#124C2318yescomplemented
317C13×#123C2318yescomplemented
318C13×#123C2318yescomplemented
319C13×#123C2318yescomplemented
320C13×#123C2318yescomplemented
321C13×C22⋊Q8C2318yescomplemented
322C13×C22⋊Q8C2318yescomplemented
323C13×C22⋊Q8C2318yescomplemented
324C13×C22⋊Q8C2318yescomplemented
325C13×#121C2318yescomplemented
326C13×#121C2318yescomplemented
327C13×#121C2318yescomplemented
328C13×#121C2318yescomplemented
329C2×C13×C4⋊C4C2311yescharacteristic
330C2×C13×C4⋊C4C2311yescharacteristic
331C2×C13×C4⋊C4C2311yescharacteristic
332C2×C13×C4⋊C4C2311yescharacteristic
333C2×C13×C4⋊C4C2311yescharacteristic
334C2×C13×C4⋊C4C2311yescharacteristic
335C2×C13×C4⋊C4C2311yescharacteristic
336C2×C13×C4⋊C4C2311yescharacteristic
337C2×C13×C4⋊C4C2311yescharacteristic
338C2×C13×C4⋊C4C2311yescharacteristic
339C2×C13×C22⋊C4C2311yescharacteristic
340C2×C13×C22⋊C4C2311yescharacteristic
341C2×C13×C22⋊C4C2311yescharacteristic
342C2×C13×C22⋊C4C2311yescharacteristic
343C2×C13×C22⋊C4C2311yescharacteristic
344C2×C13×C22⋊C4C2311yescharacteristic
345C2×C13×C22⋊C4C2311yescharacteristic
346C2×C13×C22⋊C4C2311yescharacteristic
347C2×C13×C22⋊C4C2311yescharacteristic
348C2×C13×C22⋊C4C2311yescharacteristic
349C2×C13×C22⋊C4C2311yescharacteristic
350C2×C13×C22⋊C4C2311yescharacteristic
351C2×C42×C13C2311yescharacteristic
352C2×C22⋊Dic13C2311yescharacteristic
353C2×C22⋊Dic13C2311yescharacteristic
354C2×C22⋊Dic13C2311yescharacteristic
355C2×C22⋊Dic13C2311yescharacteristic
356C2×C22⋊Dic13C2311yescharacteristic
357C2×C22⋊Dic13C2311yescharacteristic
358#88201C2318yescomplemented
359#88201C2318yescomplemented
360#88201C2318yescomplemented
361#88200C2318yescomplemented
362#88200C2318yescomplemented
363#88198C2318yescomplemented
364#88194C2318yescomplemented
365#88194C2318yescomplemented
366#88194C2318yescomplemented
367#88194C2318yescomplemented
368#88193C2318yes—
369#88193C2318yescomplemented
370#88193C2318yescomplemented
371#88193C2318yescomplemented
372#88193C2318yescomplemented
373#88193C2318yescomplemented
374#88192C2318yescomplemented
375#88192C2318yescomplemented
376#88191C2318yes—
377#88191C2318yescomplemented
378#88191C2318yescomplemented
379#88191C2318yescomplemented
380#88191C2318yescomplemented
381#88189C2318yescomplemented
382#88184C2318yescomplemented
383#88184C2318yescomplemented
384#88184C2318yescomplemented
385#88184C2318yescomplemented
386#88183C2318yescomplemented
387#88183C2318yescomplemented
388C4×C22⋊D13C2318yescomplemented
389C4×C22⋊D13C2318yescomplemented
390C4×C22⋊D13C2318yescomplemented
391C4×C22⋊D13C2318yescomplemented
392C2×#6103C2311yescharacteristic
393C2×#6103C2311yescharacteristic
394C2×#6103C2311yescharacteristic
395C2×#6103C2311yescharacteristic
396C2×#6103C2311yescharacteristic
397C2×#6103C2311yescharacteristic
398C2×#6103C2311yescharacteristic
399C2×#6103C2311yescharacteristic
400C2×#6103C2311yescharacteristic
401C2×#6103C2311yescharacteristic
402C2×#6103C2311yescharacteristic
403C2×#6103C2311yescharacteristic
404C2×#6103C2311yescharacteristic
405C2×#6103C2311yescharacteristic
406C2×#6103C2311yescharacteristic
407C2×#6103C2311yescharacteristic
408C2×#6103C2311yescharacteristic
409C2×#6103C2311yescharacteristic
410C2×#6103C2311yescharacteristic
411C2×#6103C2311yescharacteristic
412C2×#6103C2311yescharacteristic
413C2×#6103C2311yescharacteristic
414C2×#6103C2311yescharacteristic
415C2×#6103C2311yescharacteristic
416C2×#6103C2311yescharacteristic
417C2×#6103C2311yescharacteristic
418C2×#6103C2311yescharacteristic
419C2×#6103C2311yescharacteristic
420C2×#6103C2311yescharacteristic
421C2×#6103C2311yescharacteristic
422C2×#6103C2318yescomplemented
423C2×#6103C2318yescomplemented
424C2×C4⋊Dic13C2311yescharacteristic
425C2×C4⋊Dic13C2311yescharacteristic
426C2×C4⋊Dic13C2311yescharacteristic
427C2×C4⋊Dic13C2311yescharacteristic
428C2×#6101C2311yescharacteristic
429C2×#6101C2311yescharacteristic
430C2×#6101C2311yescharacteristic
431C2×#6101C2311yescharacteristic
432C2×#6101C2311yescharacteristic
433C2×#6101C2311yescharacteristic
434C2×#6101C2311yescharacteristic
435C2×#6101C2311yescharacteristic
436C2×#6101C2311yescharacteristic
437C2×#6101C2311yescharacteristic
438C2×#6101C2311yescharacteristic
439C2×#6101C2311yescharacteristic
440C2×#6101C2311yescharacteristic
441C2×#6101C2311yescharacteristic
442C2×C4×Dic13C2311yescharacteristic
443C2×C4×Dic13C2311yescharacteristic
444C2×C4×Dic13C2311yescharacteristic
445C2×C4×Dic13C2311yescharacteristic
446C2×C4×Dic13C2311yescharacteristic
447C2×C4×Dic13C2311yescharacteristic
448C2×C4×Dic13C2311yescharacteristic
449#88152C2318yescomplemented
450#88152C2318yescomplemented
451#88152C2318yescomplemented
452#88152C2318yescomplemented
453#88151C2318yescomplemented
454#88150C2318yescomplemented
455#88150C2318yescomplemented
456#88150C2318yescomplemented
457#88150C2318yescomplemented
458#88149C2318yes—
459#88149C2318yescomplemented
460#88149C2318yescomplemented
461#88149C2318yescomplemented
462#88149C2318yescomplemented
463#88149C2318yescomplemented
464#88149C2318yescomplemented
465#88149C2318yescomplemented
466#88149C2318yescomplemented
467#88148C2318yes—
468#88148C2318yes—
469#88148C2318yescomplemented
470#88148C2318yescomplemented
471#88148C2318yescomplemented
472#88148C2318yescomplemented
473#88148C2318yescomplemented
474#88148C2318yescomplemented
475#88148C2318yescomplemented
476#88148C2318yescomplemented
477#88147C2318yes—
478#88147C2318yescomplemented
479#88147C2318yescomplemented
480#88147C2318yescomplemented
481#88147C2318yescomplemented
482#88146C2318yescomplemented
483#88146C2318yescomplemented
484C4⋊C4×D13C2318yescomplemented
485C4⋊C4×D13C2318yescomplemented
486#88143C2318yescomplemented
487#88143C2318yescomplemented
488#88141C2318yescomplemented
489#88140C2318yescomplemented
490#88139C2318yescomplemented
491#88139C2318yescomplemented
492#88139C2318yescomplemented
493#88139C2318yescomplemented
494#88138C2318yes—
495#88138C2318yes—
496#88138C2318yescomplemented
497#88138C2318yescomplemented
498#88138C2318yescomplemented
499#88138C2318yescomplemented
500#88138C2318yescomplemented
501#88138C2318yescomplemented
502#88138C2318yescomplemented
503#88138C2318yescomplemented
504#88138C2318yescomplemented
505#88138C2318yescomplemented
506#88138C2318yescomplemented
507#88138C2318yescomplemented
508#88137C2318yescomplemented
509#88137C2318yescomplemented
510#88137C2318yescomplemented
511#88137C2318yescomplemented
512#88136C2318yes—
513#88136C2318yes—
514#88136C2318yescomplemented
515#88136C2318yescomplemented
516#88136C2318yescomplemented
517#88136C2318yescomplemented
518#88136C2318yescomplemented
519#88136C2318yescomplemented
520#88136C2318yescomplemented
521#88136C2318yescomplemented
522#88136C2318yescomplemented
523#88135C2318yescomplemented
524#88135C2318yescomplemented
525#88135C2318yescomplemented
526#88135C2318yescomplemented
527#88135C2318yescomplemented
528#88135C2318yescomplemented
529C22⋊C4×D13C2318yescomplemented
530C22⋊C4×D13C2318yescomplemented
531C22⋊C4×D13C2318yescomplemented
532C22⋊C4×D13C2318yescomplemented
533#88133C2318yescomplemented
534#88133C2318yescomplemented
535#88131C2318yescomplemented
536#88131C2318yescomplemented
537#88128C2318yescomplemented
538#88126C2318yescomplemented
539#88126C2318yescomplemented
540#88126C2318yescomplemented
541C2×#3542—131nomaximal, Sylow
542C24×C13C2411yescharacteristic
543C24×C13C2411yescharacteristic
544C24×C13C2411yescharacteristic
545C24×C13C2411yescharacteristic
546C23×D13—24no—
547C23×D13—24no—
548C23×D13—24no—
549C23×D13—42no—
550C23×D13—42no—
551C23×D13—42no—
552C23×D13—42no—
553C23×D13—42no—
554C23×D13—42no—
555C23×D13—42no—
556C23×D13—42no—
557C23×D13—42no—
558C23×D13—42no—
559C23×D13—42no—
560C23×D13—42no—
561C23×D13C2411yescharacteristic
562C23×D13C2411yescharacteristic
563C23×D13C2411yescharacteristic
564C23×D13C2411yescharacteristic
565C23×D13C2411yescharacteristic
566C23×D13C2411yescharacteristic
567C23×D13C2411yescharacteristic
568C23×D13C2414yes—
569C23×D13C2414yes—
570C23×D13C2414yes—
571C23×D13C2414yes—
572C23×D13C2414yes—
573C2×Q8×C13—42no—
574C2×Q8×C13—42no—
575C2×Q8×C13C2414yes—
576C2×Q8×C13C2414yes—
577C2×D4×C13—42no—
578C2×D4×C13—42no—
579C2×D4×C13—42no—
580C2×D4×C13—42no—
581C2×D4×C13—42no—
582C2×D4×C13—42no—
583C2×D4×C13C2414yes—
584C2×D4×C13C2414yes—
585C2×D4×C13C2414yes—
586C2×D4×C13C2414yes—
587C2×D4×C13C2414yes—
588C2×D4×C13C2414yes—
589C22×C4×C13—42no—
590C22×C4×C13—42no—
591C22×C4×C13—42no—
592C22×C4×C13—42no—
593C22×C4×C13C2411yescharacteristic
594C22×C4×C13C2411yescharacteristic
595C22×C4×C13C2411yescharacteristic
596C22×C4×C13C2411yescharacteristic
597C22×C4×C13C2411yescharacteristic
598C22×C4×C13C2411yescharacteristic
599C22×C4×C13C2411yescharacteristic
600C22×C4×C13C2411yescharacteristic
601C22×C4×C13C2411yescharacteristic
602C22×C4×C13C2411yescharacteristic
603C22×C4×C13C2411yescharacteristic
604C22×C4×C13C2414yes—
605C22×C4×C13C2414yes—
606C22×C4×C13C2414yes—
607C22×C4×C13C2414yes—
608C2×C22⋊D13—24no—
609C2×C22⋊D13—24no—
610C2×C22⋊D13—24no—
611C2×C22⋊D13—24no—
612C2×C22⋊D13—42no—
613C2×C22⋊D13—42no—
614C2×C22⋊D13—42no—
615C2×C22⋊D13—42no—
616C2×C22⋊D13—42no—
617C2×C22⋊D13—42no—
618C2×C22⋊D13—42no—
619C2×C22⋊D13—42no—
620C2×C22⋊D13—42no—
621C2×C22⋊D13—42no—
622C2×C22⋊D13—42no—
623C2×C22⋊D13—42no—
624C2×C22⋊D13—42no—
625C2×C22⋊D13—42no—
626C2×C22⋊D13C2414yes—
627C2×C22⋊D13C2414yes—
628C2×C22⋊D13C2414yes—
629C2×C22⋊D13C2414yes—
630C2×C22⋊D13C2414yes—
631C2×C22⋊D13C2414yes—
632C2×C22⋊D13C2414yes—
633C2×C22⋊D13C2414yes—
634C2×C22⋊D13C2414yes—
635C2×C22⋊D13C2414yes—
636C2×C22⋊D13C2414yes—
637C2×C22⋊D13C2414yes—
638C2×C22⋊D13C2414yes—
639C2×C22⋊D13C2414yes—
640C2×C22⋊D13C2414yes—
641C2×C22⋊D13C2414yes—
642C2×C22⋊D13C2414yes—
643C2×C22⋊D13C2414yes—
644C22×Dic13—24no—
645C22×Dic13—42no—
646C22×Dic13—42no—
647C22×Dic13C2414yes—
648C22×Dic13C2411yescharacteristic
649C22×Dic13C2411yescharacteristic
650C22×Dic13C2411yescharacteristic
651C22×Dic13C2411yescharacteristic
652C22×Dic13C2411yescharacteristic
653C22×Dic13C2411yescharacteristic
654C22×Dic13C2411yescharacteristic
655C22×Dic13C2411yescharacteristic
656C22×Dic13C2414yes—
657C22×Dic13C2414yes—
658C22×Dic13C2411yescharacteristic
659#6131—416no—
660#6131—416no—
661#6129—416no—
662D4×D13—416no—
663D4×D13—416no—
664D4×D13—416no—
665D4×D13—416no—
666D4×D13—416no—
667#6127—416no—
668#6127—416no—
669C2×D52—24no—
670C2×D52—24no—
671C2×D52—24no—
672C2×D52—416no—
673C2×D52—42no—
674C2×D52—42no—
675C2×D52—42no—
676C2×D52—42no—
677C2×D52—42no—
678C2×D52—42no—
679C2×D52—42no—
680C2×D52—42no—
681C2×D52—42no—
682C2×D52—42no—
683C2×D52—42no—
684C2×D52—42no—
685C2×D52—42no—
686C2×D52C2414yes—
687C2×D52C2414yes—
688C2×D52C2414yes—
689C2×D52C2414yes—
690C2×D52C2414yes—
691C2×D52C2414yes—
692C2×D52C2414yes—
693C2×D52C2414yes—
694C2×D52C2414yes—
695C2×D52C2414yes—
696C2×D52C2414yes—
697C2×D52C2414yes—
698C2×D52C2414yes—
699C2×D52C2414yes—
700C2×D52C2414yes—
701C2×D52C2414yes—
702C2×C4×D13—24no—
703C2×C4×D13—24no—
704C2×C4×D13—24no—
705C2×C4×D13—24no—
706C2×C4×D13—24no—
707C2×C4×D13—24no—
708C2×C4×D13—416no—
709C2×C4×D13—42no—
710C2×C4×D13—42no—
711C2×C4×D13—42no—
712C2×C4×D13—42no—
713C2×C4×D13—42no—
714C2×C4×D13—42no—
715C2×C4×D13—42no—
716C2×C4×D13—42no—
717C2×C4×D13—42no—
718C2×C4×D13C2414yes—
719C2×C4×D13C2414yes—
720C2×C4×D13C2414yes—
721C2×C4×D13C2414yes—
722C2×C4×D13C2414yes—
723C2×C4×D13C2414yes—
724C2×C4×D13C2414yes—
725C2×C4×D13C2414yes—
726C2×C4×D13C2414yes—
727C2×C4×D13C2414yes—
728C2×C4×D13C2414yes—
729C2×C4×D13C2414yes—
730C2×C4×D13C2414yes—
731C2×C4×D13C2414yes—
732C2×C4×D13C2414yes—
733C2×Dic26—24no—
734C2×Dic26—42no—
735C2×Dic26C2414yes—
736C2×Dic26C2414yes—
737C13×C4⋊C4C2414yes—
738C13×C4⋊C4C2414yes—
739C13×C4⋊C4C2414yes—
740C13×C4⋊C4C2414yes—
741C13×C4⋊C4C2414yes—
742C13×C4⋊C4C2414yes—
743C13×C4⋊C4C2414yes—
744C13×C4⋊C4C2414yes—
745C13×C4⋊C4C2414yes—
746C13×C4⋊C4C2414yes—
747C13×C22⋊C4C2414yes—
748C13×C22⋊C4C2414yes—
749C13×C22⋊C4C2414yes—
750C13×C22⋊C4C2414yes—
751C13×C22⋊C4C2414yes—
752C13×C22⋊C4C2414yes—
753C13×C22⋊C4C2414yes—
754C13×C22⋊C4C2414yes—
755C13×C22⋊C4C2414yes—
756C13×C22⋊C4C2414yes—
757C13×C22⋊C4C2414yes—
758C13×C22⋊C4C2414yes—
759C42×C13C2414yes—
760C22⋊Dic13C2414yes—
761C22⋊Dic13C2414yes—
762C22⋊Dic13C2414yes—
763C22⋊Dic13C2414yes—
764C22⋊Dic13C2414yes—
765C22⋊Dic13C2414yes—
766#6103C2414yes—
767#6103C2414yes—
768#6103C2414yes—
769#6103C2414yes—
770#6103C2414yes—
771#6103C2414yes—
772#6103C2414yes—
773#6103C2414yes—
774#6103C2414yes—
775#6103C2414yes—
776#6103C2414yes—
777#6103C2414yes—
778#6103C2414yes—
779#6103C2414yes—
780#6103C2414yes—
781#6103C2414yes—
782#6103C2414yes—
783#6103C2414yes—
784#6103C2414yes—
785#6103C2414yes—
786#6103C2414yes—
787#6103C2414yes—
788#6103C2414yes—
789#6103C2414yes—
790#6103C2414yes—
791#6103C2414yes—
792#6103C2414yes—
793#6103C2414yes—
794#6103C2414yes—
795#6103C2414yes—
796C4⋊Dic13C2414yes—
797C4⋊Dic13C2414yes—
798C4⋊Dic13C2414yes—
799C4⋊Dic13C2414yes—
800#6101C2414yes—
801#6101C2414yes—
802#6101C2414yes—
803#6101C2414yes—
804#6101C2414yes—
805#6101C2414yes—
806#6101C2414yes—
807#6101C2414yes—
808#6101C2414yes—
809#6101C2414yes—
810#6101C2414yes—
811#6101C2414yes—
812#6101C2414yes—
813#6101C2414yes—
814C4×Dic13C2414yes—
815C4×Dic13C2414yes—
816C4×Dic13C2414yes—
817C4×Dic13C2414yes—
818C4×Dic13C2414yes—
819C4×Dic13C2414yes—
820C4×Dic13C2414yes—
821#3542—1332no—
822C2×#562—131no—
823C2×#562D1311yescharacteristic, complemented
824C2×#560—131no—
825C2×#560—131no—
826C2×#555—131no—
827C2×#553—131no—
828C2×#552—131no—
829C2×#551—131no—
830C2×#551—131no—
831C2×#550—131no—
832C2×#547—131no—
833C2×#546—131no—
834C2×#546—131no—
835C2×#546—131no—
836C2×#546—131no—
837C2×D42—131no—
838C2×#542—131no—
839C2×#540—131no—
840C2×#540—131no—
841C2×#540—131no—
842C2×#538—131no—
843C2×#538—131no—
844C2×#537—131no—
845C2×#535—131no—
846C2×#535—131no—
847C2×#535—131no—
848C2×#534—131no—
849C2×#534—131no—
850C2×#525—131no—
851C2×#525—131no—
852C22×#121—131no—
853C23×C13—22no—
854C23×C13—22no—
855C23×C13—22no—
856C23×C13—22no—
857C23×C13—22no—
858C23×C13—22no—
859C23×C13—22no—
860C23×C13—22no—
861C23×C13—22no—
862C23×C13—22no—
863C23×C13—22no—
864C23×C13—22no—
865C23×C13C2512yes—
866C23×C13C2512yes—
867C23×C13C2512yes—
868C23×C13C2512yes—
869C23×C13C2511yescharacteristic
870C22×D13—22no—
871C22×D13—22no—
872C22×D13—22no—
873C22×D13—22no—
874C22×D13—22no—
875C22×D13—22no—
876C22×D13—22no—
877C22×D13—22no—
878C22×D13—22no—
879C22×D13—22no—
880C22×D13—22no—
881C22×D13—22no—
882C22×D13—22no—
883C22×D13—22no—
884C22×D13—22no—
885C22×D13—22no—
886C22×D13—22no—
887C22×D13—22no—
888C22×D13—22no—
889C22×D13—22no—
890C22×D13—28no—
891C22×D13—28no—
892C22×D13—28no—
893C22×D13—44no—
894C22×D13—44no—
895C22×D13—44no—
896C22×D13—44no—
897C22×D13—44no—
898C22×D13—44no—
899C22×D13—44no—
900C22×D13—44no—
901C22×D13—44no—
902C22×D13—44no—
903C22×D13—44no—
904C22×D13—44no—
905C22×D13—416no—
906C22×D13—88no—
907C22×D13—88no—
908C22×D13—88no—
909C22×D13—88no—
910C22×D13H(5,𝔽2)14yes—
911C22×D13C2512yes—
912C22×D13C2512yes—
913C22×D13C2512yes—
914C22×D13C2512yes—
915C22×D13C2512yes—
916C22×D13C2512yes—
917C22×D13C2512yes—
918Q8×C13—44no—
919Q8×C13—44no—
920D4×C13—44no—
921D4×C13—44no—
922D4×C13—44no—
923D4×C13—44no—
924D4×C13—44no—
925D4×C13—44no—
926C2×C4×C13—22no—
927C2×C4×C13—22no—
928C2×C4×C13—22no—
929C2×C4×C13—22no—
930C2×C4×C13—22no—
931C2×C4×C13—22no—
932C2×C4×C13—22no—
933C2×C4×C13—22no—
934C2×C4×C13—22no—
935C2×C4×C13—22no—
936C2×C4×C13—22no—
937C2×C4×C13—44no—
938C2×C4×C13—44no—
939C2×C4×C13—44no—
940C2×C4×C13—44no—
941C2×C4×C13C2512yes—
942C2×C4×C13C2512yes—
943C2×C4×C13C2512yes—
944C2×C4×C13C2512yes—
945C2×C4×C13C2512yes—
946C2×C4×C13C2512yes—
947C2×C4×C13C2512yes—
948C2×C4×C13C2512yes—
949C2×C4×C13C2512yes—
950C2×C4×C13C2512yes—
951C2×C4×C13C2512yes—
952C22⋊D13—28no—
953C22⋊D13—28no—
954C22⋊D13—28no—
955C22⋊D13—28no—
956C22⋊D13—44no—
957C22⋊D13—44no—
958C22⋊D13—44no—
959C22⋊D13—44no—
960C22⋊D13—44no—
961C22⋊D13—44no—
962C22⋊D13—44no—
963C22⋊D13—44no—
964C22⋊D13—44no—
965C22⋊D13—44no—
966C22⋊D13—44no—
967C22⋊D13—44no—
968C22⋊D13—44no—
969C22⋊D13—44no—
970C2×Dic13—22no—
971C2×Dic13—22no—
972C2×Dic13—22no—
973C2×Dic13—22no—
974C2×Dic13—22no—
975C2×Dic13—22no—
976C2×Dic13—22no—
977C2×Dic13—22no—
978C2×Dic13—28no—
979C2×Dic13—44no—
980C2×Dic13—44no—
981C2×Dic13H(5,𝔽2)14yes—
982C2×Dic13C2512yes—
983C2×Dic13C2512yes—
984C2×Dic13C2512yes—
985C2×Dic13C2512yes—
986C2×Dic13C2512yes—
987C2×Dic13C2512yes—
988C2×Dic13C2512yes—
989C2×Dic13C2512yes—
990C2×Dic13C2512yes—
991D52—28no—
992D52—28no—
993D52—28no—
994D52—44no—
995D52—44no—
996D52—44no—
997D52—44no—
998D52—44no—
999D52—44no—
1000D52—44no—
1001D52—44no—
1002D52—44no—
1003D52—44no—
1004D52—44no—
1005D52—44no—
1006D52—44no—
1007C4×D13—28no—
1008C4×D13—28no—
1009C4×D13—28no—
1010C4×D13—28no—
1011C4×D13—28no—
1012C4×D13—28no—
1013C4×D13—44no—
1014C4×D13—44no—
1015C4×D13—44no—
1016C4×D13—44no—
1017C4×D13—44no—
1018C4×D13—44no—
1019C4×D13—44no—
1020C4×D13—44no—
1021C4×D13—44no—
1022Dic26—28no—
1023Dic26—44no—
1024C22×#41—131no—
1025C22×#41—131no—
1026C22×#41—131no—
1027C22×#41—131no—
1028C22×#41—131no—
1029C23×D4—131no—
1030C23×D4—131no—
1031C23×D4—131no—
1032C23×D4—131no—
1033C23×D4—131no—
1034C23×D4—131no—
1035C24×C4—131no—
1036#562—1316no—
1037#562C2×D13116yescomplemented
1038#560—1316no—
1039#560—1316no—
1040#555—1316no—
1041#553—1316no—
1042#552—1316no—
1043#551—1316no—
1044#551—1316no—
1045#550—1316no—
1046#547—1316no—
1047#546—1316no—
1048#546—1316no—
1049#546—1316no—
1050#546—1316no—
1051D42—1316no—
1052#542—1316no—
1053#540—1316no—
1054#540—1316no—
1055#540—1316no—
1056#538—1316no—
1057#538—1316no—
1058#537—1316no—
1059#535—1316no—
1060#535—1316no—
1061#535—1316no—
1062#534—1316no—
1063#534—1316no—
1064C2×C4⋊Q8—131no—
1065C2×#127—131no—
1066C2×#127—131no—
1067C2×#127—131no—
1068C2×#127—131no—
1069C2×#127—131no—
1070C2×#126—131no—
1071C2×#126—131no—
1072C2×#126—131no—
1073C2×#126—131no—
1074C2×#126—131no—
1075C2×#126—131no—
1076C2×#125—131no—
1077C2×#125—131no—
1078C2×#125C2×D1311yescharacteristic, complemented
1079C2×#124—131no—
1080C2×#124—131no—
1081C2×#124—131no—
1082C2×#124—131no—
1083C2×#124—131no—
1084C2×#124—131no—
1085C2×#124—131no—
1086C2×#124C2×D1311yescharacteristic, complemented
1087C2×#124C2×D1311yescharacteristic, complemented
1088#525—1316no—
1089#525—1316no—
1090C2×#123—131no—
1091C2×#123—131no—
1092C2×#123—131no—
1093C2×#123—131no—
1094C2×#123—131no—
1095C2×#123—131no—
1096C2×#123—131no—
1097C2×#123—131no—
1098C2×#123—131no—
1099C2×#123—131no—
1100C2×#123—131no—
1101C2×#123—131no—
1102C2×#123—131no—
1103C2×#123—131no—
1104C2×#123—131no—
1105C2×#123—131no—
1106C2×#123—131no—
1107C2×#123—131no—
1108C2×#123C2×D1311yescharacteristic, complemented
1109C2×#123C2×D1311yescharacteristic, complemented
1110C2×#123C2×D1311yescharacteristic, complemented
1111C2×#123C2×D1311yescharacteristic, complemented
1112C2×C22⋊Q8—131no—
1113C2×C22⋊Q8—131no—
1114C2×C22⋊Q8—131no—
1115C2×C22⋊Q8—131no—
1116C2×C22⋊Q8—131no—
1117C2×C22⋊Q8—131no—
1118C2×C22⋊Q8—131no—
1119C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1120C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1121C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1122C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1123C2×#121—131no—
1124C2×#121—131no—
1125C2×#121—131no—
1126C2×#121—131no—
1127C2×#121—131no—
1128C2×#121—131no—
1129C2×#121—131no—
1130C2×#121—131no—
1131C2×#121—131no—
1132C2×#121—131no—
1133C2×#121—131no—
1134C2×#121—131no—
1135C2×#121—1316no—
1136C2×#121—131no—
1137C2×#121—131no—
1138C2×#121—131no—
1139C2×#121—131no—
1140C2×#121—131no—
1141C2×#121—131no—
1142C2×#121—131no—
1143C2×#121—131no—
1144C2×#121—131no—
1145C2×#121—131no—
1146C2×#121—131no—
1147C2×#121—131no—
1148C2×#121—131no—
1149C2×#121—131no—
1150C2×#121—131no—
1151C2×#121—131no—
1152C2×#121—131no—
1153C2×#121—131no—
1154C2×#121—131no—
1155C2×#121—131no—
1156C2×#121—131no—
1157C2×#121—131no—
1158C2×#121—131no—
1159C2×#121C2×D1311yescharacteristic, complemented
1160C2×#121C2×D1311yescharacteristic, complemented
1161C2×#121C2×D1311yescharacteristic, complemented
1162C2×#121C2×D1311yescharacteristic, complemented
1163C2×#120—131no—
1164C2×#120—131no—
1165C2×#120—131no—
1166C2×#120—131no—
1167C2×#120—131no—
1168C2×#120—131no—
1169C2×#120—131no—
1170C2×#120—131no—
1171C2×#120—131no—
1172C2×#120—131no—
1173C2×#120—131no—
1174C2×#120—131no—
1175C2×#120—131no—
1176C2×#120—131no—
1177C2×#120—131no—
1178C2×#120—131no—
1179C2×C4×Q8—131no—
1180C2×C4×D4—131no—
1181C2×C4×D4—131no—
1182C2×C4×D4—131no—
1183C2×C4×D4—131no—
1184C2×C4×D4—131no—
1185C2×C4×D4—131no—
1186C2×C4×D4—131no—
1187C2×C4×D4—131no—
1188C2×C4×D4—131no—
1189C2×C4×D4—131no—
1190C2×C4×D4—131no—
1191C2×C4×D4—131no—
1192C2×C4×D4—131no—
1193C2×C4×D4—131no—
1194C2×C4×D4—131no—
1195C2×#117—131no—
1196C2×#117—131no—
1197C2×#117—131no—
1198C2×#117—131no—
1199C2×#117—131no—
1200C2×#117—131no—
1201C2×#117—131no—
1202C22×C4⋊C4—131no—
1203C22×C4⋊C4—131no—
1204C22×C22⋊C4—131no—
1205C22×C22⋊C4—131no—
1206C22×C22⋊C4—131no—
1207C22×C22⋊C4—131no—
1208C22×C22⋊C4—131no—
1209C22×C22⋊C4—131no—
1210C22×C13—22no—
1211C22×C13—22no—
1212C22×C13—22no—
1213C22×C13—22no—
1214C22×C13—22no—
1215C22×C13—22no—
1216C22×C13—22no—
1217C22×C13—22no—
1218C22×C13—22no—
1219C22×C13—22no—
1220C22×C13—22no—
1221C22×C13—22no—
1222C22×C13—44no—
1223C22×C13—44no—
1224C22×C13—44no—
1225C22×C13—44no—
1226C22×C13C2×H(5,𝔽2)12yes—
1227C22×C13C2×H(5,𝔽2)12yes—
1228C22×C13#58512yes—
1229C22×C13C2611yescharacteristic
1230C2×D13—22no—
1231C2×D13—22no—
1232C2×D13—28no—
1233C2×D13—22no—
1234C2×D13—22no—
1235C2×D13—22no—
1236C2×D13—22no—
1237C2×D13—22no—
1238C2×D13—22no—
1239C2×D13—22no—
1240C2×D13—22no—
1241C2×D13—22no—
1242C2×D13—22no—
1243C2×D13—22no—
1244C2×D13—22no—
1245C2×D13—22no—
1246C2×D13—22no—
1247C2×D13—22no—
1248C2×D13—22no—
1249C2×D13—22no—
1250C2×D13—22no—
1251C2×D13—416no—
1252C2×D13—44no—
1253C2×D13—44no—
1254C2×D13—44no—
1255C2×D13—44no—
1256C2×D13—44no—
1257C2×D13—44no—
1258C2×D13—88no—
1259C2×D13—88no—
1260C2×D13—88no—
1261C2×D13—88no—
1262C2×D13C2×H(5,𝔽2)14yes—
1263C4×C13—22no—
1264C4×C13—22no—
1265C4×C13—22no—
1266C4×C13—22no—
1267C4×C13—22no—
1268C4×C13—22no—
1269C4×C13—22no—
1270C4×C13—22no—
1271C4×C13—22no—
1272C4×C13—22no—
1273C4×C13—22no—
1274Dic13—22no—
1275Dic13—22no—
1276Dic13—22no—
1277Dic13—22no—
1278Dic13—22no—
1279Dic13—22no—
1280Dic13—22no—
1281Dic13—22no—
1282Dic13C2×H(5,𝔽2)14yes—
1283C25—131no—
1284C25—131no—
1285C25—131no—
1286C25—131no—
1287C25—131no—
1288C2×#41—138no—
1289C2×#41—138no—
1290C2×#41—138no—
1291C2×#41—138no—
1292C2×#41—138no—
1293C2×#41—524no—
1294C2×#41—524no—
1295C2×#41—524no—
1296C2×#41—524no—
1297C2×#41—524no—
1298C22×Q8—131no—
1299C22×Q8—131no—
1300C22×Q8C22×D1311yescharacteristic
1301C22×Q8C22×D1311yescharacteristic
1302C22×D4—131no—
1303C22×D4—131no—
1304C22×D4—131no—
1305C22×D4—131no—
1306C22×D4—131no—
1307C22×D4—131no—
1308C22×D4—131no—
1309C22×D4—131no—
1310C22×D4—131no—
1311C22×D4—131no—
1312C22×D4—131no—
1313C22×D4—131no—
1314C22×D4—131no—
1315C22×D4—131no—
1316C22×D4—131no—
1317C22×D4—131no—
1318C22×D4—131no—
1319C22×D4—131no—
1320C22×D4—138no—
1321C22×D4—138no—
1322C22×D4—138no—
1323C22×D4—138no—
1324C22×D4—138no—
1325C22×D4—131no—
1326C22×D4—131no—
1327C22×D4—131no—
1328C22×D4—131no—
1329C22×D4—131no—
1330C22×D4—131no—
1331C22×D4—131no—
1332C22×D4—131no—
1333C22×D4—131no—
1334C22×D4—131no—
1335C22×D4—131no—
1336C22×D4—131no—
1337C22×D4—131no—
1338C22×D4—131no—
1339C22×D4—131no—
1340C22×D4—131no—
1341C22×D4—138no—
1342C22×D4—524no—
1343C22×D4—524no—
1344C22×D4—524no—
1345C22×D4—524no—
1346C22×D4—524no—
1347C22×D4—524no—
1348C22×D4C22×D1311yescharacteristic
1349C22×D4C22×D1311yescharacteristic
1350C22×D4C22×D1311yescharacteristic
1351C22×D4C22×D1311yescharacteristic
1352C22×D4C22×D1311yescharacteristic
1353C22×D4C22×D1311yescharacteristic
1354C23×C4—131no—
1355C23×C4—131no—
1356C23×C4—131no—
1357C23×C4—131no—
1358C23×C4—131no—
1359C23×C4—131no—
1360C23×C4—131no—
1361C23×C4—131no—
1362C23×C4—131no—
1363C23×C4—131no—
1364C23×C4—131no—
1365C23×C4—131no—
1366C23×C4—131no—
1367C23×C4—131no—
1368C23×C4—131no—
1369C23×C4—131no—
1370C23×C4—131no—
1371C23×C4—131no—
1372C23×C4—138no—
1373C23×C4—524no—
1374C23×C4C22×D1311yescharacteristic
1375C23×C4C22×D1311yescharacteristic
1376C23×C4C22×D1311yescharacteristic
1377C23×C4C22×D1311yescharacteristic
1378C4⋊Q8—138no—
1379#127—138no—
1380#127—138no—
1381#127—138no—
1382#127—138no—
1383#127—138no—
1384#126—138no—
1385#126—138no—
1386#126—138no—
1387#126—138no—
1388#126—138no—
1389#126—138no—
1390#125—138no—
1391#125—138no—
1392#125C22×D1318yescomplemented
1393#124—138no—
1394#124—138no—
1395#124—138no—
1396#124—138no—
1397#124—138no—
1398#124—138no—
1399#124—138no—
1400#124C22×D1318yescomplemented
1401#124C22×D1318yescomplemented
1402#123—138no—
1403#123—138no—
1404#123—138no—
1405#123—138no—
1406#123—138no—
1407#123—138no—
1408#123—138no—
1409#123—138no—
1410#123—138no—
1411#123—138no—
1412#123—138no—
1413#123—138no—
1414#123—138no—
1415#123—138no—
1416#123—138no—
1417#123—138no—
1418#123—138no—
1419#123—138no—
1420#123C22×D1318yescomplemented
1421#123C22×D1318yescomplemented
1422#123C22×D1318yescomplemented
1423#123C22×D1318yescomplemented
1424C22⋊Q8—138no—
1425C22⋊Q8—138no—
1426C22⋊Q8—138no—
1427C22⋊Q8—138no—
1428C22⋊Q8—138no—
1429C22⋊Q8—138no—
1430C22⋊Q8—138no—
1431C22⋊Q8C22×D1318yescomplemented
1432C22⋊Q8C22×D1318yescomplemented
1433C22⋊Q8C22×D1318yescomplemented
1434C22⋊Q8C22×D1318yescomplemented
1435#121—138no—
1436#121—138no—
1437#121—138no—
1438#121—138no—
1439#121—138no—
1440#121—138no—
1441#121—138no—
1442#121—138no—
1443#121—138no—
1444#121—138no—
1445#121—138no—
1446#121—138no—
1447#121—138no—
1448#121—138no—
1449#121—138no—
1450#121—138no—
1451#121—138no—
1452#121—138no—
1453#121—138no—
1454#121—138no—
1455#121—138no—
1456#121—138no—
1457#121—138no—
1458#121—138no—
1459#121—138no—
1460#121—138no—
1461#121—138no—
1462#121—138no—
1463#121—138no—
1464#121—138no—
1465#121—138no—
1466#121—138no—
1467#121—138no—
1468#121—138no—
1469#121—138no—
1470#121C22×D1318yescomplemented
1471#121C22×D1318yescomplemented
1472#121C22×D1318yescomplemented
1473#121C22×D1318yescomplemented
1474#120—138no—
1475#120—138no—
1476#120—138no—
1477#120—138no—
1478#120—138no—
1479#120—138no—
1480#120—138no—
1481#120—138no—
1482#120—138no—
1483#120—138no—
1484#120—138no—
1485#120—138no—
1486#120—138no—
1487#120—138no—
1488#120—138no—
1489#120—138no—
1490C4×Q8—138no—
1491C4×D4—138no—
1492C4×D4—138no—
1493C4×D4—138no—
1494C4×D4—138no—
1495C4×D4—138no—
1496C4×D4—138no—
1497C4×D4—138no—
1498C4×D4—138no—
1499C4×D4—138no—
1500C4×D4—138no—
1501C4×D4—138no—
1502C4×D4—138no—
1503C4×D4—138no—
1504C4×D4—138no—
1505C4×D4—138no—
1506#117—138no—
1507#117—138no—
1508#117—138no—
1509#117—138no—
1510#117—138no—
1511#117—138no—
1512#117—138no—
1513C2×C4⋊C4—131no—
1514C2×C4⋊C4—131no—
1515C2×C4⋊C4—131no—
1516C2×C4⋊C4—131no—
1517C2×C4⋊C4—131no—
1518C2×C4⋊C4—131no—
1519C2×C4⋊C4—131no—
1520C2×C4⋊C4—131no—
1521C2×C4⋊C4—131no—
1522C2×C4⋊C4—131no—
1523C2×C4⋊C4—131no—
1524C2×C4⋊C4—131no—
1525C2×C4⋊C4—131no—
1526C2×C4⋊C4—131no—
1527C2×C4⋊C4—131no—
1528C2×C4⋊C4—131no—
1529C2×C4⋊C4—131no—
1530C2×C4⋊C4—131no—
1531C2×C4⋊C4—138no—
1532C2×C4⋊C4—138no—
1533C2×C4⋊C4C22×D1311yescharacteristic
1534C2×C4⋊C4C22×D1311yescharacteristic
1535C2×C4⋊C4C22×D1311yescharacteristic
1536C2×C4⋊C4C22×D1311yescharacteristic
1537C2×C4⋊C4C22×D1311yescharacteristic
1538C2×C4⋊C4C22×D1311yescharacteristic
1539C2×C4⋊C4C22×D1311yescharacteristic
1540C2×C4⋊C4C22×D1311yescharacteristic
1541C2×C4⋊C4C22×D1311yescharacteristic
1542C2×C4⋊C4C22×D1311yescharacteristic
1543C2×C22⋊C4—131no—
1544C2×C22⋊C4—131no—
1545C2×C22⋊C4—131no—
1546C2×C22⋊C4—131no—
1547C2×C22⋊C4—131no—
1548C2×C22⋊C4—131no—
1549C2×C22⋊C4—131no—
1550C2×C22⋊C4—131no—
1551C2×C22⋊C4—131no—
1552C2×C22⋊C4—131no—
1553C2×C22⋊C4—131no—
1554C2×C22⋊C4—131no—
1555C2×C22⋊C4—131no—
1556C2×C22⋊C4—131no—
1557C2×C22⋊C4—131no—
1558C2×C22⋊C4—131no—
1559C2×C22⋊C4—131no—
1560C2×C22⋊C4—131no—
1561C2×C22⋊C4—131no—
1562C2×C22⋊C4—138no—
1563C2×C22⋊C4—138no—
1564C2×C22⋊C4—131no—
1565C2×C22⋊C4—131no—
1566C2×C22⋊C4—131no—
1567C2×C22⋊C4—131no—
1568C2×C22⋊C4—131no—
1569C2×C22⋊C4—131no—
1570C2×C22⋊C4—131no—
1571C2×C22⋊C4—131no—
1572C2×C22⋊C4—131no—
1573C2×C22⋊C4—131no—
1574C2×C22⋊C4—131no—
1575C2×C22⋊C4—131no—
1576C2×C22⋊C4—131no—
1577C2×C22⋊C4—131no—
1578C2×C22⋊C4—131no—
1579C2×C22⋊C4—131no—
1580C2×C22⋊C4—131no—
1581C2×C22⋊C4—138no—
1582C2×C22⋊C4—138no—
1583C2×C22⋊C4—138no—
1584C2×C22⋊C4—138no—
1585C2×C22⋊C4C22×D1311yescharacteristic
1586C2×C22⋊C4C22×D1311yescharacteristic
1587C2×C22⋊C4C22×D1311yescharacteristic
1588C2×C22⋊C4C22×D1311yescharacteristic
1589C2×C22⋊C4C22×D1311yescharacteristic
1590C2×C22⋊C4C22×D1311yescharacteristic
1591C2×C22⋊C4C22×D1311yescharacteristic
1592C2×C22⋊C4C22×D1311yescharacteristic
1593C2×C22⋊C4C22×D1311yescharacteristic
1594C2×C22⋊C4C22×D1311yescharacteristic
1595C2×C22⋊C4C22×D1311yescharacteristic
1596C2×C22⋊C4C22×D1311yescharacteristic
1597C2×C42—131no—
1598C2×C42—131no—
1599C2×C42—131no—
1600C2×C42—131no—
1601C2×C42—131no—
1602C2×C42—131no—
1603C2×C42—131no—
1604C2×C42C22×D1311yescharacteristic
1605C2×C13—42no—
1606C2×C13—42no—
1607C2×C13—42no—
1608C2×C13—42no—
1609C2×C13#354214yescomplemented
1610C2×C13C22×H(5,𝔽2)11yescharacteristic
1611C2×C13C22×H(5,𝔽2)11yescharacteristic
1612C2×C13C2×#58511yescharacteristic
1613D13—24no—
1614D13—42no—
1615D13—42no—
1616D13—42no—
1617D13—42no—
1618D13—42no—
1619D13—42no—
1620C24—131no—
1621C24—131no—
1622C24—131no—
1623C24—131no—
1624C24—131no—
1625C24—131no—
1626C24—131no—
1627C24—134no—
1628C24—134no—
1629C24—134no—
1630C24—134no—
1631C24—134no—
1632C24—264no—
1633C24—264no—
1634C24—264no—
1635C24—522no—
1636C24—522no—
1637C24—522no—
1638C24—522no—
1639C24—522no—
1640C24—522no—
1641C24—522no—
1642C24—522no—
1643C24—522no—
1644C24—522no—
1645C24—522no—
1646C24—522no—
1647C24C23×D1311yescharacteristic
1648C24C23×D1311yescharacteristic
1649C24C23×D1311yescharacteristic
1650C24C23×D1311yescharacteristic
1651#41—5216no—
1652#41—5216no—
1653#41—5216no—
1654#41—5216no—
1655#41—5216no—
1656C2×Q8—42no—
1657C2×Q8—42no—
1658C2×Q8—134no—
1659C2×Q8—134no—
1660C2×Q8—264no—
1661C2×Q8—522no—
1662C2×Q8C23×D1314yes—
1663C2×Q8C23×D1314yes—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—134no—
1671C2×D4—134no—
1672C2×D4—134no—
1673C2×D4—134no—
1674C2×D4—134no—
1675C2×D4—134no—
1676C2×D4—134no—
1677C2×D4—134no—
1678C2×D4—134no—
1679C2×D4—134no—
1680C2×D4—134no—
1681C2×D4—134no—
1682C2×D4—134no—
1683C2×D4—134no—
1684C2×D4—134no—
1685C2×D4—134no—
1686C2×D4—134no—
1687C2×D4—134no—
1688C2×D4—134no—
1689C2×D4—134no—
1690C2×D4—134no—
1691C2×D4—134no—
1692C2×D4—134no—
1693C2×D4—134no—
1694C2×D4—134no—
1695C2×D4—134no—
1696C2×D4—134no—
1697C2×D4—134no—
1698C2×D4—134no—
1699C2×D4—134no—
1700C2×D4—134no—
1701C2×D4—134no—
1702C2×D4—134no—
1703C2×D4—134no—
1704C2×D4—264no—
1705C2×D4—264no—
1706C2×D4—264no—
1707C2×D4—264no—
1708C2×D4—264no—
1709C2×D4—264no—
1710C2×D4—264no—
1711C2×D4—522no—
1712C2×D4—522no—
1713C2×D4—522no—
1714C2×D4—522no—
1715C2×D4—522no—
1716C2×D4—522no—
1717C2×D4—522no—
1718C2×D4—522no—
1719C2×D4—522no—
1720C2×D4—522no—
1721C2×D4—522no—
1722C2×D4—522no—
1723C2×D4—522no—
1724C2×D4—5216no—
1725C2×D4—5216no—
1726C2×D4—5216no—
1727C2×D4—5216no—
1728C2×D4—5216no—
1729C2×D4—522no—
1730C2×D4—522no—
1731C2×D4—522no—
1732C2×D4—522no—
1733C2×D4—522no—
1734C2×D4—522no—
1735C2×D4—522no—
1736C2×D4—522no—
1737C2×D4—522no—
1738C2×D4—522no—
1739C2×D4—522no—
1740C2×D4—522no—
1741C2×D4—522no—
1742C2×D4—522no—
1743C2×D4—5216no—
1744C2×D4C23×D1314yes—
1745C2×D4C23×D1314yes—
1746C2×D4C23×D1314yes—
1747C2×D4C23×D1314yes—
1748C2×D4C23×D1314yes—
1749C2×D4C23×D1314yes—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—131no—
1755C22×C4—134no—
1756C22×C4—131no—
1757C22×C4—131no—
1758C22×C4—131no—
1759C22×C4—131no—
1760C22×C4—131no—
1761C22×C4—131no—
1762C22×C4—131no—
1763C22×C4—131no—
1764C22×C4—134no—
1765C22×C4—134no—
1766C22×C4—134no—
1767C22×C4—134no—
1768C22×C4—134no—
1769C22×C4—134no—
1770C22×C4—134no—
1771C22×C4—134no—
1772C22×C4—134no—
1773C22×C4—134no—
1774C22×C4—134no—
1775C22×C4—134no—
1776C22×C4—134no—
1777C22×C4—134no—
1778C22×C4—134no—
1779C22×C4—134no—
1780C22×C4—134no—
1781C22×C4—264no—
1782C22×C4—264no—
1783C22×C4—264no—
1784C22×C4—264no—
1785C22×C4—264no—
1786C22×C4—264no—
1787C22×C4—264no—
1788C22×C4—522no—
1789C22×C4—522no—
1790C22×C4—522no—
1791C22×C4—522no—
1792C22×C4—522no—
1793C22×C4—522no—
1794C22×C4—522no—
1795C22×C4—522no—
1796C22×C4—522no—
1797C22×C4—5216no—
1798C22×C4—522no—
1799C22×C4—522no—
1800C22×C4C23×D1311yescharacteristic
1801C22×C4C23×D1311yescharacteristic
1802C22×C4C23×D1311yescharacteristic
1803C22×C4C23×D1311yescharacteristic
1804C22×C4C23×D1311yescharacteristic
1805C22×C4C23×D1311yescharacteristic
1806C22×C4C23×D1311yescharacteristic
1807C22×C4C23×D1311yescharacteristic
1808C22×C4C23×D1311yescharacteristic
1809C22×C4C23×D1311yescharacteristic
1810C22×C4C23×D1311yescharacteristic
1811C22×C4C23×D1314yes—
1812C22×C4C23×D1314yes—
1813C22×C4C23×D1314yes—
1814C22×C4C23×D1314yes—
1815C4⋊C4—134no—
1816C4⋊C4—134no—
1817C4⋊C4—134no—
1818C4⋊C4—134no—
1819C4⋊C4—134no—
1820C4⋊C4—134no—
1821C4⋊C4—134no—
1822C4⋊C4—134no—
1823C4⋊C4—134no—
1824C4⋊C4—134no—
1825C4⋊C4—134no—
1826C4⋊C4—134no—
1827C4⋊C4—134no—
1828C4⋊C4—134no—
1829C4⋊C4—134no—
1830C4⋊C4—134no—
1831C4⋊C4—134no—
1832C4⋊C4—134no—
1833C4⋊C4C23×D1314yes—
1834C4⋊C4C23×D1314yes—
1835C4⋊C4C23×D1314yes—
1836C4⋊C4C23×D1314yes—
1837C4⋊C4C23×D1314yes—
1838C4⋊C4C23×D1314yes—
1839C4⋊C4C23×D1314yes—
1840C4⋊C4C23×D1314yes—
1841C4⋊C4C23×D1314yes—
1842C4⋊C4C23×D1314yes—
1843C22⋊C4—134no—
1844C22⋊C4—134no—
1845C22⋊C4—134no—
1846C22⋊C4—134no—
1847C22⋊C4—134no—
1848C22⋊C4—134no—
1849C22⋊C4—134no—
1850C22⋊C4—134no—
1851C22⋊C4—134no—
1852C22⋊C4—134no—
1853C22⋊C4—134no—
1854C22⋊C4—134no—
1855C22⋊C4—134no—
1856C22⋊C4—134no—
1857C22⋊C4—134no—
1858C22⋊C4—134no—
1859C22⋊C4—134no—
1860C22⋊C4—134no—
1861C22⋊C4—134no—
1862C22⋊C4—134no—
1863C22⋊C4—134no—
1864C22⋊C4—134no—
1865C22⋊C4—134no—
1866C22⋊C4—134no—
1867C22⋊C4—134no—
1868C22⋊C4—134no—
1869C22⋊C4—134no—
1870C22⋊C4—134no—
1871C22⋊C4—134no—
1872C22⋊C4—134no—
1873C22⋊C4—134no—
1874C22⋊C4—134no—
1875C22⋊C4—134no—
1876C22⋊C4—134no—
1877C22⋊C4—134no—
1878C22⋊C4—134no—
1879C22⋊C4C23×D1314yes—
1880C22⋊C4C23×D1314yes—
1881C22⋊C4C23×D1314yes—
1882C22⋊C4C23×D1314yes—
1883C22⋊C4C23×D1314yes—
1884C22⋊C4C23×D1314yes—
1885C22⋊C4C23×D1314yes—
1886C22⋊C4C23×D1314yes—
1887C22⋊C4C23×D1314yes—
1888C22⋊C4C23×D1314yes—
1889C22⋊C4C23×D1314yes—
1890C22⋊C4C23×D1314yes—
1891C42—134no—
1892C42—134no—
1893C42—134no—
1894C42—134no—
1895C42—134no—
1896C42—134no—
1897C42—134no—
1898C42C23×D1314yes—
1899C13C2×#354211yescharacteristic, complemented, Sylow
1900C23—22no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—134no—
1913C23—132no—
1914C23—132no—
1915C23—132no—
1916C23—132no—
1917C23—132no—
1918C23—132no—
1919C23—132no—
1920C23—268no—
1921C23—268no—
1922C23—268no—
1923C23—262no—
1924C23—262no—
1925C23—262no—
1926C23—262no—
1927C23—262no—
1928C23—262no—
1929C23—262no—
1930C23—262no—
1931C23—262no—
1932C23—262no—
1933C23—262no—
1934C23—262no—
1935C23—262no—
1936C23—262no—
1937C23—262no—
1938C23—262no—
1939C23—262no—
1940C23—262no—
1941C23—262no—
1942C23—262no—
1943C23—524no—
1944C23—524no—
1945C23—524no—
1946C23—524no—
1947C23—524no—
1948C23—524no—
1949C23—524no—
1950C23—524no—
1951C23—524no—
1952C23—524no—
1953C23—524no—
1954C23—524no—
1955C23—5216no—
1956C23—1048no—
1957C23—1048no—
1958C23—1048no—
1959C23—1048no—
1960C23C24×D1312yes—
1961C23C24×D1312yes—
1962C23C24×D1312yes—
1963C23C24×D1312yes—
1964C23C24×D1311yescharacteristic
1965Q8—44no—
1966Q8—44no—
1967Q8—268no—
1968Q8—524no—
1969D4—44no—
1970D4—44no—
1971D4—44no—
1972D4—44no—
1973D4—44no—
1974D4—44no—
1975D4—268no—
1976D4—268no—
1977D4—268no—
1978D4—268no—
1979D4—268no—
1980D4—268no—
1981D4—268no—
1982D4—524no—
1983D4—524no—
1984D4—524no—
1985D4—524no—
1986D4—524no—
1987D4—524no—
1988D4—524no—
1989D4—524no—
1990D4—524no—
1991D4—524no—
1992D4—524no—
1993D4—524no—
1994D4—524no—
1995D4—524no—
1996D4—524no—
1997D4—524no—
1998D4—524no—
1999D4—524no—
2000D4—524no—
2001D4—524no—
2002D4—524no—
2003D4—524no—
2004D4—524no—
2005D4—524no—
2006D4—524no—
2007D4—524no—
2008D4—524no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—44no—
2021C2×C4—44no—
2022C2×C4—44no—
2023C2×C4—44no—
2024C2×C4—134no—
2025C2×C4—132no—
2026C2×C4—132no—
2027C2×C4—132no—
2028C2×C4—132no—
2029C2×C4—132no—
2030C2×C4—132no—
2031C2×C4—132no—
2032C2×C4—132no—
2033C2×C4—132no—
2034C2×C4—268no—
2035C2×C4—268no—
2036C2×C4—268no—
2037C2×C4—268no—
2038C2×C4—268no—
2039C2×C4—268no—
2040C2×C4—268no—
2041C2×C4—262no—
2042C2×C4—262no—
2043C2×C4—262no—
2044C2×C4—262no—
2045C2×C4—262no—
2046C2×C4—262no—
2047C2×C4—262no—
2048C2×C4—262no—
2049C2×C4—524no—
2050C2×C4—524no—
2051C2×C4—524no—
2052C2×C4—524no—
2053C2×C4—524no—
2054C2×C4—524no—
2055C2×C4—524no—
2056C2×C4—524no—
2057C2×C4—524no—
2058C2×C4—524no—
2059C2×C4—524no—
2060C2×C4C24×D1312yes—
2061C2×C4C24×D1312yes—
2062C2×C4C24×D1312yes—
2063C2×C4C24×D1312yes—
2064C2×C4C24×D1312yes—
2065C2×C4C24×D1312yes—
2066C2×C4C24×D1312yes—
2067C2×C4C24×D1312yes—
2068C2×C4C24×D1312yes—
2069C2×C4C24×D1312yes—
2070C2×C4C24×D1312yes—
2071C22—22no—
2072C22—22no—
2073C22—22no—
2074C22—22no—
2075C22—22no—
2076C22—22no—
2077C22—22no—
2078C22—22no—
2079C22—22no—
2080C22—22no—
2081C22—22no—
2082C22—22no—
2083C22—44no—
2084C22—44no—
2085C22—44no—
2086C22—44no—
2087C22—134no—
2088C22—262no—
2089C22—262no—
2090C22—268no—
2091C22—262no—
2092C22—262no—
2093C22—262no—
2094C22—262no—
2095C22—262no—
2096C22—262no—
2097C22—262no—
2098C22—262no—
2099C22—262no—
2100C22—262no—
2101C22—262no—
2102C22—262no—
2103C22—262no—
2104C22—262no—
2105C22—262no—
2106C22—262no—
2107C22—262no—
2108C22—262no—
2109C22—5216no—
2110C22—524no—
2111C22—524no—
2112C22—524no—
2113C22—524no—
2114C22—524no—
2115C22—524no—
2116C22—1048no—
2117C22—1048no—
2118C22—1048no—
2119C22—1048no—
2120C22D13×H(5,𝔽2)12yes—
2121C22D13×H(5,𝔽2)12yes—
2122C22#1171965212yes—
2123C22C25×D1311yescharacteristic
2124C4—22no—
2125C4—22no—
2126C4—22no—
2127C4—22no—
2128C4—22no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—22no—
2133C4—22no—
2134C4—22no—
2135C4—134no—
2136C4—262no—
2137C4—262no—
2138C4—262no—
2139C4—262no—
2140C4—262no—
2141C4—262no—
2142C4—262no—
2143C4—262no—
2144C2—42no—
2145C2—42no—
2146C2—42no—
2147C2—42no—
2148C2—264no—
2149C2—522no—
2150C2—522no—
2151C2—522no—
2152C2—522no—
2153C2—522no—
2154C2—522no—
2155C2#1312914914yesdirect product factor
2156C2C2×D13×H(5,𝔽2)11yescharacteristic
2157C2C2×D13×H(5,𝔽2)11yescharacteristic
2158C2C2×#1171965211yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#562C2
socleC23×C13C25
hypercenterC2×#562D13
hypocenterC13C2×#3542
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#562

Complements

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

NH ≅ G/Ntype
1. #13129149C2direct (N × H)
2. C2×#11719352C2semidirect
3. C2×#11719371C2semidirect
4. C2×#11719325C2semidirect
5. C2×#11719375C2semidirect
6. C2×#11719366C2semidirect
7. C2×#11719398C2semidirect
8. C2×#11719384C2semidirect
9. C2×#11719342C2semidirect
10. C2×#11719304C2semidirect
11. C2×#11719336C2semidirect
12. C2×#11719359C2semidirect
13. C2×#11719359C2semidirect
14. C2×#11719335C2semidirect
15. C2×#11719315C2semidirect
16. C2×#11719314C2semidirect
17. C2×#11719345C2semidirect
18. C2×#11719403C2semidirect
19. C2×#11719368C2semidirect
20. C2×#11719320C2semidirect
21. C2×#11719349C2semidirect
22. C2×#11719362C2semidirect
23. C2×#11719334C2semidirect
24. C2×#11719379C2semidirect
25. C2×#11719379C2semidirect
26. C2×#11719312C2semidirect
27. C2×#11719358C2semidirect
28. C2×#11719310C2semidirect
29. C2×#11719332C2semidirect
30. C2×#11719361C2semidirect
31. C2×D13×#121C2semidirect
32. C2×C13×#562C2semidirect
33. C22×#6131C22semidirect
34. C22×#6131C22semidirect
35. C22×#6129C22semidirect
38. C22×D4×D13C22semidirect
39. C22×D4×D13C22semidirect
40. C22×D4×D13C22semidirect
41. C22×#6127C22semidirect
42. C22×#6127C22semidirect
44. C23×C4×D13C22semidirect
45. C13×#562C22semidirect
46. C2×C13×#125C22semidirect
47. C2×C13×#124C22semidirect
48. C2×C13×#124C22semidirect
49. C2×C13×#123C22semidirect
50. C2×C13×#123C22semidirect
51. C2×C13×#123C22semidirect
52. C2×C13×#123C22semidirect
53. C2×C13×C22⋊Q8C22semidirect
54. C2×C13×C22⋊Q8C22semidirect
55. C2×C13×C22⋊Q8C22semidirect
56. C2×C13×C22⋊Q8C22semidirect
57. C2×C13×#121C22semidirect
58. C2×C13×#121C22semidirect
59. C2×C13×#121C22semidirect
60. C2×C13×#121C22semidirect
61. C2×#88201C22semidirect
62. C2×#88201C22semidirect
63. C2×#88201C22semidirect
64. C2×#88200C22semidirect
65. C2×#88200C22semidirect
66. C2×#88198C22semidirect
67. C2×#88194C22semidirect
68. C2×#88194C22semidirect
69. C2×#88194C22semidirect
70. C2×#88194C22semidirect
72. C2×#88193C22semidirect
73. C2×#88193C22semidirect
74. C2×#88193C22semidirect
75. C2×#88193C22semidirect
76. C2×#88193C22semidirect
77. C2×#88192C22semidirect
78. C2×#88192C22semidirect
80. C2×#88191C22semidirect
81. C2×#88191C22semidirect
82. C2×#88191C22semidirect
83. C2×#88191C22semidirect
84. C2×#88189C22semidirect
85. C2×#88184C22semidirect
86. C2×#88184C22semidirect
87. C2×#88184C22semidirect
88. C2×#88184C22semidirect
89. C2×#88183C22semidirect
90. C2×#88183C22semidirect
91. C2×C4×C22⋊D13C22semidirect
92. C2×C4×C22⋊D13C22semidirect
93. C2×C4×C22⋊D13C22semidirect
94. C2×C4×C22⋊D13C22semidirect
95. C22×#6103C22semidirect
96. C22×#6103C22semidirect
97. #11719403C22semidirect
98. #11719398C22semidirect
99. #11719384C22semidirect
100. #11719379C22semidirect
101. #11719379C22semidirect
102. #11719375C22semidirect
103. #11719371C22semidirect
104. #11719368C22semidirect
105. #11719366C22semidirect
106. #11719362C22semidirect
107. #11719361C22semidirect
108. #11719359C22semidirect
109. #11719359C22semidirect
110. #11719358C22semidirect
111. #11719352C22semidirect
112. #11719349C22semidirect
113. #11719345C22semidirect
114. #11719342C22semidirect
115. #11719336C22semidirect
116. #11719335C22semidirect
117. #11719334C22semidirect
118. #11719332C22semidirect
119. #11719325C22semidirect
120. #11719320C22semidirect
121. #11719315C22semidirect
122. #11719314C22semidirect
123. #11719312C22semidirect
124. #11719310C22semidirect
125. D13×#121C22semidirect
126. #11719304C22semidirect
127. C2×#88152C22semidirect
128. C2×#88152C22semidirect
129. C2×#88152C22semidirect
130. C2×#88152C22semidirect
131. C2×#88151C22semidirect
132. C2×#88150C22semidirect
133. C2×#88150C22semidirect
134. C2×#88150C22semidirect
135. C2×#88150C22semidirect
137. C2×#88149C22semidirect
138. C2×#88149C22semidirect
139. C2×#88149C22semidirect
140. C2×#88149C22semidirect
141. C2×#88149C22semidirect
142. C2×#88149C22semidirect
143. C2×#88149C22semidirect
144. C2×#88149C22semidirect
147. C2×#88148C22semidirect
148. C2×#88148C22semidirect
149. C2×#88148C22semidirect
150. C2×#88148C22semidirect
151. C2×#88148C22semidirect
152. C2×#88148C22semidirect
153. C2×#88148C22semidirect
154. C2×#88148C22semidirect
156. C2×#88147C22semidirect
157. C2×#88147C22semidirect
158. C2×#88147C22semidirect
159. C2×#88147C22semidirect
160. C2×#88146C22semidirect
161. C2×#88146C22semidirect
162. C2×C4⋊C4×D13C22semidirect
163. C2×C4⋊C4×D13C22semidirect
164. C2×#88143C22semidirect
165. C2×#88143C22semidirect
166. C2×#88141C22semidirect
167. C2×#88140C22semidirect
168. C2×#88139C22semidirect
169. C2×#88139C22semidirect
170. C2×#88139C22semidirect
171. C2×#88139C22semidirect
174. C2×#88138C22semidirect
175. C2×#88138C22semidirect
176. C2×#88138C22semidirect
177. C2×#88138C22semidirect
178. C2×#88138C22semidirect
179. C2×#88138C22semidirect
180. C2×#88138C22semidirect
181. C2×#88138C22semidirect
182. C2×#88138C22semidirect
183. C2×#88138C22semidirect
184. C2×#88138C22semidirect
185. C2×#88138C22semidirect
186. C2×#88137C22semidirect
187. C2×#88137C22semidirect
188. C2×#88137C22semidirect
189. C2×#88137C22semidirect
192. C2×#88136C22semidirect
193. C2×#88136C22semidirect
194. C2×#88136C22semidirect
195. C2×#88136C22semidirect
196. C2×#88136C22semidirect
197. C2×#88136C22semidirect
198. C2×#88136C22semidirect
199. C2×#88136C22semidirect
200. C2×#88136C22semidirect
201. C2×#88135C22semidirect
202. C2×#88135C22semidirect
203. C2×#88135C22semidirect
204. C2×#88135C22semidirect
205. C2×#88135C22semidirect
206. C2×#88135C22semidirect
207. C2×C22⋊C4×D13C22semidirect
208. C2×C22⋊C4×D13C22semidirect
209. C2×C22⋊C4×D13C22semidirect
210. C2×C22⋊C4×D13C22semidirect
211. C2×#88133C22semidirect
212. C2×#88133C22semidirect
213. C2×#88131C22semidirect
214. C2×#88131C22semidirect
215. C2×#88128C22semidirect
216. C2×#88126C22semidirect
217. C2×#88126C22semidirect
218. C2×#88126C22semidirect
259. C2×#6131C23semidirect
260. C2×#6131C23semidirect
262. C2×#6129C23semidirect
270. C2×D4×D13C23semidirect
271. C2×D4×D13C23semidirect
272. C2×D4×D13C23semidirect
275. C2×#6127C23semidirect
276. C2×#6127C23semidirect
311. C22×C4×D13C23semidirect
314. C13×#125C23semidirect
315. C13×#124C23semidirect
316. C13×#124C23semidirect
317. C13×#123C23semidirect
318. C13×#123C23semidirect
319. C13×#123C23semidirect
320. C13×#123C23semidirect
321. C13×C22⋊Q8C23semidirect
322. C13×C22⋊Q8C23semidirect
323. C13×C22⋊Q8C23semidirect
324. C13×C22⋊Q8C23semidirect
325. C13×#121C23semidirect
326. C13×#121C23semidirect
327. C13×#121C23semidirect
328. C13×#121C23semidirect
358. #88201C23semidirect
359. #88201C23semidirect
360. #88201C23semidirect
361. #88200C23semidirect
362. #88200C23semidirect
363. #88198C23semidirect
364. #88194C23semidirect
365. #88194C23semidirect
366. #88194C23semidirect
367. #88194C23semidirect
369. #88193C23semidirect
370. #88193C23semidirect
371. #88193C23semidirect
372. #88193C23semidirect
373. #88193C23semidirect
374. #88192C23semidirect
375. #88192C23semidirect
377. #88191C23semidirect
378. #88191C23semidirect
379. #88191C23semidirect
380. #88191C23semidirect
381. #88189C23semidirect
382. #88184C23semidirect
383. #88184C23semidirect
384. #88184C23semidirect
385. #88184C23semidirect
386. #88183C23semidirect
387. #88183C23semidirect
388. C4×C22⋊D13C23semidirect
389. C4×C22⋊D13C23semidirect
390. C4×C22⋊D13C23semidirect
391. C4×C22⋊D13C23semidirect
422. C2×#6103C23semidirect
423. C2×#6103C23semidirect
449. #88152C23semidirect
450. #88152C23semidirect
451. #88152C23semidirect
452. #88152C23semidirect
453. #88151C23semidirect
454. #88150C23semidirect
455. #88150C23semidirect
456. #88150C23semidirect
457. #88150C23semidirect
459. #88149C23semidirect
460. #88149C23semidirect
461. #88149C23semidirect
462. #88149C23semidirect
463. #88149C23semidirect
464. #88149C23semidirect
465. #88149C23semidirect
466. #88149C23semidirect
469. #88148C23semidirect
470. #88148C23semidirect
471. #88148C23semidirect
472. #88148C23semidirect
473. #88148C23semidirect
474. #88148C23semidirect
475. #88148C23semidirect
476. #88148C23semidirect
478. #88147C23semidirect
479. #88147C23semidirect
480. #88147C23semidirect
481. #88147C23semidirect
482. #88146C23semidirect
483. #88146C23semidirect
484. C4⋊C4×D13C23semidirect
485. C4⋊C4×D13C23semidirect
486. #88143C23semidirect
487. #88143C23semidirect
488. #88141C23semidirect
489. #88140C23semidirect
490. #88139C23semidirect
491. #88139C23semidirect
492. #88139C23semidirect
493. #88139C23semidirect
496. #88138C23semidirect
497. #88138C23semidirect
498. #88138C23semidirect
499. #88138C23semidirect
500. #88138C23semidirect
501. #88138C23semidirect
502. #88138C23semidirect
503. #88138C23semidirect
504. #88138C23semidirect
505. #88138C23semidirect
506. #88138C23semidirect
507. #88138C23semidirect
508. #88137C23semidirect
509. #88137C23semidirect
510. #88137C23semidirect
511. #88137C23semidirect
514. #88136C23semidirect
515. #88136C23semidirect
516. #88136C23semidirect
517. #88136C23semidirect
518. #88136C23semidirect
519. #88136C23semidirect
520. #88136C23semidirect
521. #88136C23semidirect
522. #88136C23semidirect
523. #88135C23semidirect
524. #88135C23semidirect
525. #88135C23semidirect
526. #88135C23semidirect
527. #88135C23semidirect
528. #88135C23semidirect
529. C22⋊C4×D13C23semidirect
530. C22⋊C4×D13C23semidirect
531. C22⋊C4×D13C23semidirect
532. C22⋊C4×D13C23semidirect
533. #88133C23semidirect
534. #88133C23semidirect
535. #88131C23semidirect
536. #88131C23semidirect
537. #88128C23semidirect
538. #88126C23semidirect
539. #88126C23semidirect
540. #88126C23semidirect
823. C2×#562D13semidirect
1037. #562C2×D13semidirect
1078. C2×#125C2×D13semidirect
1086. C2×#124C2×D13semidirect
1087. C2×#124C2×D13semidirect
1108. C2×#123C2×D13semidirect
1109. C2×#123C2×D13semidirect
1110. C2×#123C2×D13semidirect
1111. C2×#123C2×D13semidirect
1119. C2×C22⋊Q8C2×D13semidirect
1120. C2×C22⋊Q8C2×D13semidirect
1121. C2×C22⋊Q8C2×D13semidirect
1122. C2×C22⋊Q8C2×D13semidirect
1159. C2×#121C2×D13semidirect
1160. C2×#121C2×D13semidirect
1161. C2×#121C2×D13semidirect
1162. C2×#121C2×D13semidirect
1392. #125C22×D13semidirect
1400. #124C22×D13semidirect
1401. #124C22×D13semidirect
1420. #123C22×D13semidirect
1421. #123C22×D13semidirect
1422. #123C22×D13semidirect
1423. #123C22×D13semidirect
1431. C22⋊Q8C22×D13semidirect
1432. C22⋊Q8C22×D13semidirect
1433. C22⋊Q8C22×D13semidirect
1434. C22⋊Q8C22×D13semidirect
1470. #121C22×D13semidirect
1471. #121C22×D13semidirect
1472. #121C22×D13semidirect
1473. #121C22×D13semidirect
1609. C2×C13#3542semidirect
1899. C13C2×#3542semidirect
2155. C2#13129149direct (N × H)

Maximal subgroups

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

subgroupindex
#131291492
C2×#117193522
C2×#117193712
C2×#117193252
C2×#117193752
C2×#117193662
C2×#117193982
C2×#117193842
C2×#117193422
C2×#117193042
C2×#117193362
C2×#117193592
C2×#117193352
C2×#117193152
C2×#117193142
C2×#117193452
C2×#117194032
C2×#117193682
C2×#117193202
C2×#117193492
C2×#117193622
C2×#117193342
C2×#117193792
C2×#117193122
C2×#117193582
C2×#117193102
C2×#117193322
C2×#117193612
C2×D13×#1212
C2×C13×#5622
C2×#354213