Finite Group Databasebeta

← C2×#13129055 #16770135

Subgroups — C2×#13129055 #16770135

Order 3328.

7962 conjugacy classes of subgroups.

The subgroup lattice has 2088 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129055C2132yesmaximal, direct product factor
2C2×#11719372C211yesmaximal, characteristic, complemented
3C2×#11719352C211yesmaximal, characteristic, complemented
4C2×#11719326C211yesmaximal, characteristic, complemented
5C2×#11719395C211yesmaximal, characteristic, complemented
6C2×#11719341C211yesmaximal, characteristic, complemented
7C2×#11719338C211yesmaximal, characteristic, complemented
8C2×#11719382C211yesmaximal, characteristic, complemented
9C2×#11719336C211yesmaximal, characteristic, complemented
10C2×#11719360C211yesmaximal, characteristic, complemented
11C2×#11719317C211yesmaximal, characteristic, complemented
12C2×#11719381C211yesmaximal, characteristic, complemented
13C2×#11719359C211yesmaximal, characteristic, complemented
14C2×#11719359C211yesmaximal, characteristic, complemented
15C2×#11719315C211yesmaximal, characteristic, complemented
16C2×#11719315C211yesmaximal, characteristic, complemented
17C2×#11719339C211yesmaximal, characteristic, complemented
18C2×#11719339C211yesmaximal, characteristic, complemented
19C2×#11719367C211yesmaximal, characteristic, complemented
20C2×#11719374C211yesmaximal, characteristic, complemented
21C2×#11719397C211yesmaximal, characteristic, complemented
22C2×#11719365C211yesmaximal, characteristic, complemented
23C2×#11719362C211yesmaximal, characteristic, complemented
24C2×#11719383C211yesmaximal, characteristic, complemented
25C2×#11719334C211yesmaximal, characteristic, complemented
26C2×#11719313C211yesmaximal, characteristic, complemented
27C2×#11719313C211yesmaximal, characteristic, complemented
28C2×#11719302C211yesmaximal, characteristic, complemented
29C2×#11719361C211yesmaximal, characteristic, complemented
30C2×D13×C22⋊Q8C211yesmaximal, characteristic, complemented
31C2×D13×#121C211yesmaximal, characteristic, complemented
32C2×C13×#562C211yesmaximal, characteristic, complemented
33C22×#6131C2211yescharacteristic, complemented
34C22×Q8×D13C2211yescharacteristic, complemented
35C22×#6129C2211yescharacteristic, complemented
36C22×#6129C2211yescharacteristic, complemented
37C22×#6129C2211yescharacteristic, complemented
38C22×D4×D13C2211yescharacteristic
39C22×D4×D13C2211yescharacteristic
40C22×D4×D13C2211yescharacteristic
41C22×#6127C2211yescharacteristic, complemented
42C22×#6127C2211yescharacteristic, complemented
43C22×#6127C2211yescharacteristic, complemented
44C23×C4×D13C2211yescharacteristic
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
58C2×C13×#121C2211yescharacteristic, complemented
59C2×C13×#121C2211yescharacteristic, complemented
60C2×C13×#121C2211yescharacteristic, complemented
61C2×#88201C2211yescharacteristic, complemented
62C2×#88200C2211yescharacteristic
63C2×#88200C2211yescharacteristic
64C2×#88200C2211yescharacteristic, complemented
65C2×#88200C2211yescharacteristic, complemented
66C2×#88198C2211yescharacteristic, complemented
67C2×#88193C2211yescharacteristic
68C2×#88193C2211yescharacteristic
69C2×#88193C2211yescharacteristic, complemented
70C2×#88193C2211yescharacteristic, complemented
71C2×#88193C2211yescharacteristic, complemented
72C2×#88193C2211yescharacteristic, complemented
73C2×#88193C2211yescharacteristic, complemented
74C2×#88192C2211yescharacteristic
75C2×#88192C2211yescharacteristic, complemented
76C2×#88192C2211yescharacteristic, complemented
77C2×#88192C2211yescharacteristic, complemented
78C2×#88192C2211yescharacteristic, complemented
79C2×#88191C2211yescharacteristic
80C2×#88191C2211yescharacteristic
81C2×#88191C2211yescharacteristic
82C2×#88190C2211yescharacteristic, complemented
83C2×#88189C2211yescharacteristic, complemented
84C2×#88189C2211yescharacteristic, complemented
85C2×#88184C2211yescharacteristic
86C2×#88184C2211yescharacteristic, complemented
87C2×#88183C2211yescharacteristic, complemented
88C2×C4×C22⋊D13C2211yescharacteristic
89C2×C4×C22⋊D13C2211yescharacteristic, complemented
90C2×C4×C22⋊D13C2211yescharacteristic, complemented
91C22×#6103C2211yescharacteristic
92C22×#6103C2211yescharacteristic
93C2×#88178C2211yescharacteristic, complemented
94C2×#88178C2211yescharacteristic, complemented
95C2×#88178C2211yescharacteristic, complemented
96C22×#6101C2211yescharacteristic, complemented
97#11719397C22116yescomplemented
98#11719395C22116yescomplemented
99#11719383C22116yescomplemented
100#11719382C22116yescomplemented
101#11719381C22116yescomplemented
102#11719374C22116yescomplemented
103#11719372C22116yescomplemented
104#11719367C22116yescomplemented
105#11719365C22116yescomplemented
106#11719362C22116yescomplemented
107#11719361C22116yescomplemented
108#11719360C22116yescomplemented
109#11719359C22116yescomplemented
110#11719359C22116yescomplemented
111#11719352C22116yescomplemented
112#11719341C22116yescomplemented
113#11719339C22116yescomplemented
114#11719339C22116yescomplemented
115#11719338C22116yescomplemented
116#11719336C22116yescomplemented
117#11719334C22116yescomplemented
118D13×C22⋊Q8C22116yescomplemented
119#11719326C22116yescomplemented
120#11719317C22116yescomplemented
121#11719315C22116yescomplemented
122#11719315C22116yescomplemented
123#11719313C22116yescomplemented
124#11719313C22116yescomplemented
125D13×#121C22116yescomplemented
126#11719302C22116yescomplemented
127C2×#88152C2211yescharacteristic, complemented
128C2×#88151C2211yescharacteristic
129C2×#88151C2211yescharacteristic
130C2×#88151C2211yescharacteristic, complemented
131C2×#88151C2211yescharacteristic, complemented
132C2×#88151C2211yescharacteristic, complemented
133C2×#88150C2211yescharacteristic
134C2×#88150C2211yescharacteristic
135C2×#88150C2211yescharacteristic
136C2×#88150C2211yescharacteristic
137C2×#88150C2211yescharacteristic
138C2×#88150C2211yescharacteristic, complemented
139C2×#88150C2211yescharacteristic, complemented
140C2×#88150C2211yescharacteristic, complemented
141C2×#88150C2211yescharacteristic, complemented
142C2×#88150C2211yescharacteristic, complemented
143C2×#88150C2211yescharacteristic, complemented
144C2×#88150C2211yescharacteristic, complemented
145C2×#88149C2211yescharacteristic
146C2×#88149C2211yescharacteristic, complemented
147C2×#88149C2211yescharacteristic, complemented
148C2×#88148C2211yescharacteristic, complemented
149C2×#88148C2211yescharacteristic, complemented
150C2×#88148C2211yescharacteristic, complemented
151C2×#88148C2211yescharacteristic, complemented
152C2×#88148C2211yescharacteristic, complemented
153C2×#88147C2211yescharacteristic
154C2×#88147C2211yescharacteristic
155C2×#88147C2211yescharacteristic, complemented
156C2×#88147C2211yescharacteristic, complemented
157C2×C4⋊C4×D13C2211yescharacteristic
158C2×C4⋊C4×D13C2211yescharacteristic, complemented
159C2×C4⋊C4×D13C2211yescharacteristic, complemented
160C2×C4⋊C4×D13C2211yescharacteristic, complemented
161C2×C4⋊C4×D13C2211yescharacteristic, complemented
162C2×#88144C2211yescharacteristic, complemented
163C2×#88143C2211yescharacteristic, complemented
164C2×#88143C2211yescharacteristic, complemented
165C2×#88142C2211yescharacteristic, complemented
166C2×#88141C2211yescharacteristic, complemented
167C2×#88140C2211yescharacteristic, complemented
168C2×#88139C2211yescharacteristic, complemented
169C2×#88139C2211yescharacteristic, complemented
170C2×#88139C2211yescharacteristic, complemented
171C2×#88139C2211yescharacteristic, complemented
172C2×#88139C2211yescharacteristic, complemented
173C2×#88139C2211yescharacteristic, complemented
174C2×#88138C2211yescharacteristic
175C2×#88138C2211yescharacteristic
176C2×#88138C2211yescharacteristic
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×#88137C2211yescharacteristic, complemented
186C2×#88137C2211yescharacteristic, complemented
187C2×#88137C2211yescharacteristic, complemented
188C2×#88137C2211yescharacteristic, complemented
189C2×#88137C2211yescharacteristic, complemented
190C2×#88136C2211yescharacteristic
191C2×#88136C2211yescharacteristic
192C2×#88136C2211yescharacteristic
193C2×#88135C2211yescharacteristic
194C2×#88135C2211yescharacteristic
195C2×#88135C2211yescharacteristic, complemented
196C2×#88135C2211yescharacteristic, complemented
197C2×#88135C2211yescharacteristic, complemented
198C2×C22⋊C4×D13C2211yescharacteristic
199C2×C22⋊C4×D13C2211yescharacteristic
200C2×C22⋊C4×D13C2211yescharacteristic
201C2×C22⋊C4×D13C2211yescharacteristic
202C2×C22⋊C4×D13C2211yescharacteristic
203C2×C22⋊C4×D13C2211yescharacteristic
204C2×#88133C2211yescharacteristic, complemented
205C2×#88133C2211yescharacteristic, complemented
206C2×#88132C2211yescharacteristic, complemented
207C2×#88132C2211yescharacteristic, complemented
208C2×#88132C2211yescharacteristic, complemented
209C2×#88132C2211yescharacteristic, complemented
210C2×#88132C2211yescharacteristic, complemented
211C2×#88132C2211yescharacteristic, complemented
212C2×#88132C2211yescharacteristic, complemented
213C2×#88132C2211yescharacteristic, complemented
214C2×#88131C2211yescharacteristic, complemented
215C2×#88130C2211yescharacteristic, complemented
216C2×C4×D52C2211yescharacteristic
217C2×C4×D52C2211yescharacteristic, complemented
218C2×C4×Dic26C2211yescharacteristic, complemented
219C24×D13C2311yescharacteristic
220C24×D13C2311yescharacteristic
221C24×D13C2311yescharacteristic
222C22×Q8×C13C2311yescharacteristic
223C22×Q8×C13C2311yescharacteristic
224C22×D4×C13C2311yescharacteristic
225C22×D4×C13C2311yescharacteristic
226C22×D4×C13C2311yescharacteristic
227C22×D4×C13C2311yescharacteristic
228C22×D4×C13C2311yescharacteristic
229C22×D4×C13C2311yescharacteristic
230C23×C4×C13C2311yescharacteristic
231C23×C4×C13C2311yescharacteristic
232C23×C4×C13C2311yescharacteristic
233C23×C4×C13C2311yescharacteristic
234C22×C22⋊D13C2311yescharacteristic
235C22×C22⋊D13C2311yescharacteristic
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
248C23×Dic13C2311yescharacteristic
249C23×Dic13C2311yescharacteristic
250C23×Dic13C2311yescharacteristic
251C23×Dic13C2311yescharacteristic
252C23×Dic13C2311yescharacteristic
253C2×#6131—44no—
254C2×#6131C2318yescomplemented
255C2×Q8×D13—44no—
256C2×Q8×D13C2318yescomplemented
257C2×#6129—44no—
258C2×#6129—44no—
259C2×#6129—44no—
260C2×#6129C2318yescomplemented
261C2×#6129C2318yescomplemented
262C2×#6129C2318yescomplemented
263C2×D4×D13—44no—
264C2×D4×D13—44no—
265C2×D4×D13—44no—
266C2×D4×D13C2318yes—
267C2×D4×D13C2318yes—
268C2×D4×D13C2318yes—
269C2×#6127—44no—
270C2×#6127—44no—
271C2×#6127—44no—
272C2×#6127C2318yescomplemented
273C2×#6127C2318yescomplemented
274C2×#6127C2318yescomplemented
275C22×D52C2311yescharacteristic
276C22×D52C2311yescharacteristic
277C22×D52C2311yescharacteristic
278C22×D52C2311yescharacteristic
279C22×D52C2311yescharacteristic
280C22×D52C2311yescharacteristic
281C22×D52C2311yescharacteristic
282C22×C4×D13—44no—
283C22×C4×D13C2311yescharacteristic
284C22×C4×D13C2311yescharacteristic
285C22×C4×D13C2311yescharacteristic
286C22×C4×D13C2311yescharacteristic
287C22×C4×D13C2311yescharacteristic
288C22×C4×D13C2311yescharacteristic
289C22×C4×D13C2311yescharacteristic
290C22×C4×D13C2311yescharacteristic
291C22×C4×D13C2311yescharacteristic
292C22×C4×D13C2311yescharacteristic
293C22×C4×D13C2311yescharacteristic
294C22×C4×D13C2311yescharacteristic
295C22×C4×D13C2311yescharacteristic
296C22×C4×D13C2311yescharacteristic
297C22×C4×D13C2311yescharacteristic
298C22×C4×D13C2311yescharacteristic
299C22×C4×D13C2311yescharacteristic
300C22×C4×D13C2318yes—
301C22×Dic26C2311yescharacteristic
302C22×Dic26C2311yescharacteristic
303C22×Dic26C2311yescharacteristic
304C22×Dic26C2311yescharacteristic
305C22×Dic26C2311yescharacteristic
306C22×Dic26C2311yescharacteristic
307C22×Dic26C2311yescharacteristic
308C13×#125C2318yescomplemented
309C13×#124C2318yescomplemented
310C13×#124C2318yescomplemented
311C13×#123C2318yescomplemented
312C13×#123C2318yescomplemented
313C13×#123C2318yescomplemented
314C13×#123C2318yescomplemented
315C13×C22⋊Q8C2318yescomplemented
316C13×C22⋊Q8C2318yescomplemented
317C13×C22⋊Q8C2318yescomplemented
318C13×C22⋊Q8C2318yescomplemented
319C13×#121C2318yes—
320C13×#121C2318yescomplemented
321C13×#121C2318yescomplemented
322C13×#121C2318yescomplemented
323C2×C13×C4⋊C4C2311yescharacteristic
324C2×C13×C4⋊C4C2311yescharacteristic
325C2×C13×C4⋊C4C2311yescharacteristic
326C2×C13×C4⋊C4C2311yescharacteristic
327C2×C13×C4⋊C4C2311yescharacteristic
328C2×C13×C4⋊C4C2311yescharacteristic
329C2×C13×C4⋊C4C2311yescharacteristic
330C2×C13×C4⋊C4C2311yescharacteristic
331C2×C13×C4⋊C4C2311yescharacteristic
332C2×C13×C4⋊C4C2311yescharacteristic
333C2×C13×C22⋊C4C2311yescharacteristic
334C2×C13×C22⋊C4C2311yescharacteristic
335C2×C13×C22⋊C4C2311yescharacteristic
336C2×C13×C22⋊C4C2311yescharacteristic
337C2×C13×C22⋊C4C2311yescharacteristic
338C2×C13×C22⋊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×C42×C13C2311yescharacteristic
346C2×C22⋊Dic13C2311yescharacteristic
347C2×C22⋊Dic13C2311yescharacteristic
348C2×C22⋊Dic13C2311yescharacteristic
349C2×C22⋊Dic13C2311yescharacteristic
350C2×C22⋊Dic13C2311yescharacteristic
351C2×C22⋊Dic13C2311yescharacteristic
352C2×C22⋊Dic13C2311yescharacteristic
353C2×C22⋊Dic13C2311yescharacteristic
354C2×C22⋊Dic13C2311yescharacteristic
355C2×C22⋊Dic13C2311yescharacteristic
356#88201C2318yescomplemented
357#88200C2318yes—
358#88200C2318yes—
359#88200C2318yescomplemented
360#88200C2318yescomplemented
361#88198C2318yescomplemented
362#88193C2318yes—
363#88193C2318yes—
364#88193C2318yescomplemented
365#88193C2318yescomplemented
366#88193C2318yescomplemented
367#88193C2318yescomplemented
368#88193C2318yescomplemented
369#88192C2318yes—
370#88192C2318yescomplemented
371#88192C2318yescomplemented
372#88192C2318yescomplemented
373#88192C2318yescomplemented
374#88191C2318yes—
375#88191C2318yes—
376#88191C2318yes—
377#88190C2318yescomplemented
378#88189C2318yescomplemented
379#88189C2318yescomplemented
380#88184C2318yes—
381#88184C2318yescomplemented
382#88183C2318yescomplemented
383C4×C22⋊D13C2318yes—
384C4×C22⋊D13C2318yescomplemented
385C4×C22⋊D13C2318yescomplemented
386C2×#6103C2311yescharacteristic
387C2×#6103C2311yescharacteristic
388C2×#6103C2311yescharacteristic
389C2×#6103C2311yescharacteristic
390C2×#6103C2311yescharacteristic
391C2×#6103C2311yescharacteristic
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×#6103C2318yes—
411C2×#6103C2318yes—
412C2×C4⋊Dic13C2311yescharacteristic
413C2×C4⋊Dic13C2311yescharacteristic
414C2×C4⋊Dic13C2311yescharacteristic
415C2×C4⋊Dic13C2311yescharacteristic
416C2×C4⋊Dic13C2311yescharacteristic
417C2×C4⋊Dic13C2311yescharacteristic
418C2×C4⋊Dic13C2311yescharacteristic
419C2×C4⋊Dic13C2311yescharacteristic
420#88178C2318yescomplemented
421#88178C2318yescomplemented
422#88178C2318yescomplemented
423C2×#6101C2311yescharacteristic
424C2×#6101C2311yescharacteristic
425C2×#6101C2311yescharacteristic
426C2×#6101C2311yescharacteristic
427C2×#6101C2311yescharacteristic
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×#6101C2311yescharacteristic
443C2×#6101C2318yescomplemented
444C2×C4×Dic13C2311yescharacteristic
445C2×C4×Dic13C2311yescharacteristic
446C2×C4×Dic13C2311yescharacteristic
447C2×C4×Dic13C2311yescharacteristic
448C2×C4×Dic13C2311yescharacteristic
449#88152C2318yescomplemented
450#88151C2318yes—
451#88151C2318yes—
452#88151C2318yescomplemented
453#88151C2318yescomplemented
454#88151C2318yescomplemented
455#88150C2318yes—
456#88150C2318yes—
457#88150C2318yes—
458#88150C2318yes—
459#88150C2318yes—
460#88150C2318yescomplemented
461#88150C2318yescomplemented
462#88150C2318yescomplemented
463#88150C2318yescomplemented
464#88150C2318yescomplemented
465#88150C2318yescomplemented
466#88150C2318yescomplemented
467#88149C2318yes—
468#88149C2318yescomplemented
469#88149C2318yescomplemented
470#88148C2318yescomplemented
471#88148C2318yescomplemented
472#88148C2318yescomplemented
473#88148C2318yescomplemented
474#88148C2318yescomplemented
475#88147C2318yes—
476#88147C2318yes—
477#88147C2318yescomplemented
478#88147C2318yescomplemented
479C4⋊C4×D13C2318yes—
480C4⋊C4×D13C2318yescomplemented
481C4⋊C4×D13C2318yescomplemented
482C4⋊C4×D13C2318yescomplemented
483C4⋊C4×D13C2318yescomplemented
484#88144C2318yescomplemented
485#88143C2318yescomplemented
486#88143C2318yescomplemented
487#88142C2318yescomplemented
488#88141C2318yescomplemented
489#88140C2318yescomplemented
490#88139C2318yescomplemented
491#88139C2318yescomplemented
492#88139C2318yescomplemented
493#88139C2318yescomplemented
494#88139C2318yescomplemented
495#88139C2318yescomplemented
496#88138C2318yes—
497#88138C2318yes—
498#88138C2318yes—
499#88138C2318yescomplemented
500#88138C2318yescomplemented
501#88138C2318yescomplemented
502#88138C2318yescomplemented
503#88138C2318yescomplemented
504#88138C2318yescomplemented
505#88138C2318yescomplemented
506#88138C2318yescomplemented
507#88137C2318yescomplemented
508#88137C2318yescomplemented
509#88137C2318yescomplemented
510#88137C2318yescomplemented
511#88137C2318yescomplemented
512#88136C2318yes—
513#88136C2318yes—
514#88136C2318yes—
515#88135C2318yes—
516#88135C2318yes—
517#88135C2318yescomplemented
518#88135C2318yescomplemented
519#88135C2318yescomplemented
520C22⋊C4×D13C2318yes—
521C22⋊C4×D13C2318yes—
522C22⋊C4×D13C2318yes—
523C22⋊C4×D13C2318yes—
524C22⋊C4×D13C2318yes—
525C22⋊C4×D13C2318yes—
526#88133C2318yescomplemented
527#88133C2318yescomplemented
528#88132C2318yescomplemented
529#88132C2318yescomplemented
530#88132C2318yescomplemented
531#88132C2318yescomplemented
532#88132C2318yescomplemented
533#88132C2318yescomplemented
534#88132C2318yescomplemented
535#88132C2318yescomplemented
536#88131C2318yescomplemented
537#88130C2318yescomplemented
538C4×D52C2318yes—
539C4×D52C2318yescomplemented
540C4×Dic26C2318yescomplemented
541C2×#3536—131nomaximal, Sylow
542C24×C13C2411yescharacteristic
543C24×C13C2411yescharacteristic
544C24×C13C2411yescharacteristic
545C24×C13C2411yescharacteristic
546C23×D13—24no—
547C23×D13—24no—
548C23×D13—24no—
549C23×D13—24no—
550C23×D13—42no—
551C23×D13—42no—
552C23×D13—42no—
553C23×D13—42no—
554C23×D13—42no—
555C23×D13C2411yescharacteristic
556C23×D13C2411yescharacteristic
557C23×D13C2411yescharacteristic
558C23×D13C2414yes—
559C23×D13C2411yescharacteristic
560C23×D13C2411yescharacteristic
561C23×D13C2414yes—
562C23×D13C2414yes—
563C2×Q8×C13—42no—
564C2×Q8×C13—42no—
565C2×Q8×C13C2414yes—
566C2×Q8×C13C2414yes—
567C2×D4×C13—42no—
568C2×D4×C13—42no—
569C2×D4×C13—42no—
570C2×D4×C13—42no—
571C2×D4×C13—42no—
572C2×D4×C13—42no—
573C2×D4×C13C2414yes—
574C2×D4×C13C2414yes—
575C2×D4×C13C2414yes—
576C2×D4×C13C2414yes—
577C2×D4×C13C2414yes—
578C2×D4×C13C2414yes—
579C22×C4×C13—42no—
580C22×C4×C13—42no—
581C22×C4×C13—42no—
582C22×C4×C13—42no—
583C22×C4×C13C2411yescharacteristic
584C22×C4×C13C2411yescharacteristic
585C22×C4×C13C2411yescharacteristic
586C22×C4×C13C2411yescharacteristic
587C22×C4×C13C2411yescharacteristic
588C22×C4×C13C2411yescharacteristic
589C22×C4×C13C2411yescharacteristic
590C22×C4×C13C2411yescharacteristic
591C22×C4×C13C2411yescharacteristic
592C22×C4×C13C2411yescharacteristic
593C22×C4×C13C2411yescharacteristic
594C22×C4×C13C2414yes—
595C22×C4×C13C2414yes—
596C22×C4×C13C2414yes—
597C22×C4×C13C2414yes—
598C2×C22⋊D13—24no—
599C2×C22⋊D13—24no—
600C2×C22⋊D13—24no—
601C2×C22⋊D13—24no—
602C2×C22⋊D13—24no—
603C2×C22⋊D13—24no—
604C2×C22⋊D13—42no—
605C2×C22⋊D13—42no—
606C2×C22⋊D13—42no—
607C2×C22⋊D13—42no—
608C2×C22⋊D13—42no—
609C2×C22⋊D13—42no—
610C2×C22⋊D13—42no—
611C2×C22⋊D13—42no—
612C2×C22⋊D13C2414yes—
613C2×C22⋊D13C2414yes—
614C2×C22⋊D13C2414yes—
615C2×C22⋊D13C2414yes—
616C2×C22⋊D13C2414yes—
617C2×C22⋊D13C2414yes—
618C2×C22⋊D13C2414yes—
619C2×C22⋊D13C2414yes—
620C2×C22⋊D13C2414yes—
621C2×C22⋊D13C2414yes—
622C2×C22⋊D13C2414yes—
623C2×C22⋊D13C2414yes—
624C2×C22⋊D13C2414yes—
625C2×C22⋊D13C2414yes—
626C22×Dic13—24no—
627C22×Dic13—24no—
628C22×Dic13—42no—
629C22×Dic13—42no—
630C22×Dic13—42no—
631C22×Dic13C2414yes—
632C22×Dic13C2414yes—
633C22×Dic13C2411yescharacteristic
634C22×Dic13C2411yescharacteristic
635C22×Dic13C2411yescharacteristic
636C22×Dic13C2411yescharacteristic
637C22×Dic13C2411yescharacteristic
638C22×Dic13C2411yescharacteristic
639C22×Dic13C2411yescharacteristic
640C22×Dic13C2411yescharacteristic
641C22×Dic13C2411yescharacteristic
642C22×Dic13C2411yescharacteristic
643C22×Dic13C2414yes—
644C22×Dic13C2414yes—
645C22×Dic13C2414yes—
646C22×Dic13C2411yescharacteristic
647#6131—416no—
648Q8×D13—416no—
649#6129—416no—
650#6129—416no—
651#6129—416no—
652D4×D13—416no—
653D4×D13—416no—
654D4×D13—416no—
655#6127—416no—
656#6127—416no—
657#6127—416no—
658C2×D52—24no—
659C2×D52—24no—
660C2×D52—24no—
661C2×D52—24no—
662C2×D52—42no—
663C2×D52—42no—
664C2×D52—42no—
665C2×D52C2414yes—
666C2×D52C2414yes—
667C2×D52C2414yes—
668C2×D52C2414yes—
669C2×D52C2414yes—
670C2×D52C2414yes—
671C2×D52C2414yes—
672C2×C4×D13—24no—
673C2×C4×D13—24no—
674C2×C4×D13—24no—
675C2×C4×D13—24no—
676C2×C4×D13—24no—
677C2×C4×D13—416no—
678C2×C4×D13—42no—
679C2×C4×D13—42no—
680C2×C4×D13—42no—
681C2×C4×D13—42no—
682C2×C4×D13—42no—
683C2×C4×D13—42no—
684C2×C4×D13—42no—
685C2×C4×D13—42no—
686C2×C4×D13—42no—
687C2×C4×D13—42no—
688C2×C4×D13—42no—
689C2×C4×D13—42no—
690C2×C4×D13C2414yes—
691C2×C4×D13C2414yes—
692C2×C4×D13C2414yes—
693C2×C4×D13C2414yes—
694C2×C4×D13C2414yes—
695C2×C4×D13C2414yes—
696C2×C4×D13C2414yes—
697C2×C4×D13C2414yes—
698C2×C4×D13C2414yes—
699C2×C4×D13C2414yes—
700C2×C4×D13C2414yes—
701C2×C4×D13C2414yes—
702C2×C4×D13C2414yes—
703C2×C4×D13C2414yes—
704C2×C4×D13C2414yes—
705C2×C4×D13C2414yes—
706C2×C4×D13C2414yes—
707C2×Dic26—24no—
708C2×Dic26—24no—
709C2×Dic26—42no—
710C2×Dic26—42no—
711C2×Dic26—42no—
712C2×Dic26—42no—
713C2×Dic26—42no—
714C2×Dic26C2414yes—
715C2×Dic26C2414yes—
716C2×Dic26C2414yes—
717C2×Dic26C2414yes—
718C2×Dic26C2414yes—
719C2×Dic26C2414yes—
720C2×Dic26C2414yes—
721C13×C4⋊C4C2414yes—
722C13×C4⋊C4C2414yes—
723C13×C4⋊C4C2414yes—
724C13×C4⋊C4C2414yes—
725C13×C4⋊C4C2414yes—
726C13×C4⋊C4C2414yes—
727C13×C4⋊C4C2414yes—
728C13×C4⋊C4C2414yes—
729C13×C4⋊C4C2414yes—
730C13×C4⋊C4C2414yes—
731C13×C22⋊C4C2414yes—
732C13×C22⋊C4C2414yes—
733C13×C22⋊C4C2414yes—
734C13×C22⋊C4C2414yes—
735C13×C22⋊C4C2414yes—
736C13×C22⋊C4C2414yes—
737C13×C22⋊C4C2414yes—
738C13×C22⋊C4C2414yes—
739C13×C22⋊C4C2414yes—
740C13×C22⋊C4C2414yes—
741C13×C22⋊C4C2414yes—
742C13×C22⋊C4C2414yes—
743C42×C13C2414yes—
744C22⋊Dic13C2414yes—
745C22⋊Dic13C2414yes—
746C22⋊Dic13C2414yes—
747C22⋊Dic13C2414yes—
748C22⋊Dic13C2414yes—
749C22⋊Dic13C2414yes—
750C22⋊Dic13C2414yes—
751C22⋊Dic13C2414yes—
752C22⋊Dic13C2414yes—
753C22⋊Dic13C2414yes—
754#6103C2414yes—
755#6103C2414yes—
756#6103C2414yes—
757#6103C2414yes—
758#6103C2414yes—
759#6103C2414yes—
760#6103C2414yes—
761#6103C2414yes—
762#6103C2414yes—
763#6103C2414yes—
764#6103C2414yes—
765#6103C2414yes—
766#6103C2414yes—
767#6103C2414yes—
768#6103C2414yes—
769#6103C2414yes—
770#6103C2414yes—
771#6103C2414yes—
772#6103C2414yes—
773#6103C2414yes—
774#6103C2414yes—
775#6103C2414yes—
776#6103C2414yes—
777#6103C2414yes—
778C4⋊Dic13C2414yes—
779C4⋊Dic13C2414yes—
780C4⋊Dic13C2414yes—
781C4⋊Dic13C2414yes—
782C4⋊Dic13C2414yes—
783C4⋊Dic13C2414yes—
784C4⋊Dic13C2414yes—
785C4⋊Dic13C2414yes—
786#6101C2414yes—
787#6101C2414yes—
788#6101C2414yes—
789#6101C2414yes—
790#6101C2414yes—
791#6101C2414yes—
792#6101C2414yes—
793#6101C2414yes—
794#6101C2414yes—
795#6101C2414yes—
796#6101C2414yes—
797#6101C2414yes—
798#6101C2414yes—
799#6101C2414yes—
800#6101C2414yes—
801#6101C2414yes—
802#6101C2414yes—
803#6101C2414yes—
804#6101C2414yes—
805#6101C2414yes—
806C4×Dic13C2414yes—
807C4×Dic13C2414yes—
808C4×Dic13C2414yes—
809C4×Dic13C2414yes—
810C4×Dic13C2414yes—
811#3536—1332no—
812C2×#562—131no—
813C2×#562—131no—
814C2×#562—131no—
815C2×#562D1311yescharacteristic, complemented
816C2×#554—131no—
817C2×#554—131no—
818C2×#548—131no—
819C2×#548—131no—
820C2×#547—131no—
821C2×#547—131no—
822C2×#546—131no—
823C2×#546—131no—
824C2×#546—131no—
825C2×#546—131no—
826C2×#546—131no—
827C2×#546—131no—
828C2×#543—131no—
829C2×#543—131no—
830C2×#542—131no—
831C2×#542—131no—
832C2×#539—131no—
833C2×#539—131no—
834C2×#538—131no—
835C2×#538—131no—
836C2×#537—131no—
837C2×#537—131no—
838C2×#537—131no—
839C2×#537—131no—
840C2×#525—131no—
841C22×C22⋊Q8—131no—
842C22×#121—131no—
843C23×C13—22no—
844C23×C13—22no—
845C23×C13—22no—
846C23×C13—22no—
847C23×C13—22no—
848C23×C13—22no—
849C23×C13—22no—
850C23×C13—22no—
851C23×C13—22no—
852C23×C13—22no—
853C23×C13—22no—
854C23×C13—22no—
855C23×C13C2512yes—
856C23×C13C2512yes—
857C23×C13C2512yes—
858C23×C13C2512yes—
859C23×C13C2511yescharacteristic
860C22×D13—22no—
861C22×D13—22no—
862C22×D13—22no—
863C22×D13—22no—
864C22×D13—22no—
865C22×D13—22no—
866C22×D13—22no—
867C22×D13—22no—
868C22×D13—22no—
869C22×D13—22no—
870C22×D13—22no—
871C22×D13—22no—
872C22×D13—22no—
873C22×D13—28no—
874C22×D13—28no—
875C22×D13—28no—
876C22×D13—28no—
877C22×D13—44no—
878C22×D13—416no—
879C22×D13—44no—
880C22×D13—44no—
881C22×D13—44no—
882C22×D13—44no—
883C22×D13—88no—
884C22×D13—88no—
885C22×D13H(5,𝔽2)14yes—
886C22×D132−1+414yes—
887C22×D13C2512yes—
888C22×D13C2512yes—
889C22×D13C2512yes—
890C22×D13C2512yes—
891C22×D13C2512yes—
892Q8×C13—44no—
893Q8×C13—44no—
894D4×C13—44no—
895D4×C13—44no—
896D4×C13—44no—
897D4×C13—44no—
898D4×C13—44no—
899D4×C13—44no—
900C2×C4×C13—22no—
901C2×C4×C13—22no—
902C2×C4×C13—22no—
903C2×C4×C13—22no—
904C2×C4×C13—22no—
905C2×C4×C13—22no—
906C2×C4×C13—22no—
907C2×C4×C13—22no—
908C2×C4×C13—22no—
909C2×C4×C13—22no—
910C2×C4×C13—22no—
911C2×C4×C13—44no—
912C2×C4×C13—44no—
913C2×C4×C13—44no—
914C2×C4×C13—44no—
915C2×C4×C13C2512yes—
916C2×C4×C13C2512yes—
917C2×C4×C13C2512yes—
918C2×C4×C13C2512yes—
919C2×C4×C13C2512yes—
920C2×C4×C13C2512yes—
921C2×C4×C13C2512yes—
922C2×C4×C13C2512yes—
923C2×C4×C13C2512yes—
924C2×C4×C13C2512yes—
925C2×C4×C13C2512yes—
926C22⋊D13—28no—
927C22⋊D13—28no—
928C22⋊D13—28no—
929C22⋊D13—28no—
930C22⋊D13—28no—
931C22⋊D13—28no—
932C22⋊D13—44no—
933C22⋊D13—44no—
934C22⋊D13—44no—
935C22⋊D13—44no—
936C22⋊D13—44no—
937C22⋊D13—44no—
938C22⋊D13—44no—
939C22⋊D13—44no—
940C2×Dic13—22no—
941C2×Dic13—22no—
942C2×Dic13—22no—
943C2×Dic13—22no—
944C2×Dic13—22no—
945C2×Dic13—22no—
946C2×Dic13—22no—
947C2×Dic13—22no—
948C2×Dic13—22no—
949C2×Dic13—22no—
950C2×Dic13—28no—
951C2×Dic13—28no—
952C2×Dic13—44no—
953C2×Dic13—44no—
954C2×Dic13—44no—
955C2×Dic13H(5,𝔽2)14yes—
956C2×Dic13C2512yes—
957C2×Dic13C2512yes—
958C2×Dic13C2512yes—
959C2×Dic13C2512yes—
960C2×Dic13C2512yes—
961C2×Dic13C2512yes—
962C2×Dic13C2512yes—
963C2×Dic13C2512yes—
964C2×Dic13C2512yes—
965C2×Dic13C2512yes—
966C2×Dic13C2512yes—
967D52—28no—
968D52—28no—
969D52—28no—
970D52—28no—
971D52—44no—
972D52—44no—
973D52—44no—
974C4×D13—28no—
975C4×D13—28no—
976C4×D13—28no—
977C4×D13—28no—
978C4×D13—28no—
979C4×D13—44no—
980C4×D13—44no—
981C4×D13—44no—
982C4×D13—44no—
983C4×D13—44no—
984C4×D13—44no—
985C4×D13—44no—
986C4×D13—44no—
987C4×D13—44no—
988C4×D13—44no—
989C4×D13—44no—
990C4×D13—44no—
991Dic26—28no—
992Dic26—28no—
993Dic26—44no—
994Dic26—44no—
995Dic26—44no—
996Dic26—44no—
997Dic26—44no—
998C22×#41—131no—
999C22×#41—131no—
1000C22×#41—131no—
1001C22×#41—131no—
1002C22×#41—131no—
1003C22×#41—131no—
1004C22×#41—131no—
1005C23×Q8—131no—
1006C23×D4—131no—
1007C23×D4—131no—
1008C23×D4—131no—
1009C24×C4—131no—
1010#562—1316no—
1011#562—1316no—
1012#562—1316no—
1013#562C2×D13116yescomplemented
1014#554—1316no—
1015#554—1316no—
1016#548—1316no—
1017#548—1316no—
1018#547—1316no—
1019#547—1316no—
1020#546—1316no—
1021#546—1316no—
1022#546—1316no—
1023#546—1316no—
1024#546—1316no—
1025#546—1316no—
1026#543—1316no—
1027#543—1316no—
1028#542—1316no—
1029#542—1316no—
1030#539—1316no—
1031#539—1316no—
1032#538—1316no—
1033#538—1316no—
1034#537—1316no—
1035#537—1316no—
1036#537—1316no—
1037#537—1316no—
1038C2×C4⋊Q8—131no—
1039C2×C4⋊Q8—131no—
1040C2×#126—131no—
1041C2×#126—131no—
1042C2×#126—131no—
1043C2×#126—131no—
1044C2×#125—131no—
1045C2×#125—131no—
1046C2×#125—131no—
1047C2×#125C2×D1311yescharacteristic, complemented
1048C2×#124—131no—
1049C2×#124—131no—
1050C2×#124—131no—
1051C2×#124—131no—
1052C2×#124—131no—
1053C2×#124—131no—
1054C2×#124—131no—
1055C2×#124—131no—
1056C2×#124C2×D1311yescharacteristic, complemented
1057C2×#124C2×D1311yescharacteristic, complemented
1058#525—1316no—
1059C2×#123—131no—
1060C2×#123—131no—
1061C2×#123—131no—
1062C2×#123—131no—
1063C2×#123—131no—
1064C2×#123—131no—
1065C2×#123—131no—
1066C2×#123—131no—
1067C2×#123—131no—
1068C2×#123—131no—
1069C2×#123—131no—
1070C2×#123—131no—
1071C2×#123—131no—
1072C2×#123—131no—
1073C2×#123C2×D1311yescharacteristic, complemented
1074C2×#123C2×D1311yescharacteristic, complemented
1075C2×#123C2×D1311yescharacteristic, complemented
1076C2×#123C2×D1311yescharacteristic, complemented
1077C2×C22⋊Q8—131no—
1078C2×C22⋊Q8—131no—
1079C2×C22⋊Q8—131no—
1080C2×C22⋊Q8—131no—
1081C2×C22⋊Q8—131no—
1082C2×C22⋊Q8—131no—
1083C2×C22⋊Q8—131no—
1084C2×C22⋊Q8—1316no—
1085C2×C22⋊Q8—131no—
1086C2×C22⋊Q8—131no—
1087C2×C22⋊Q8—131no—
1088C2×C22⋊Q8—131no—
1089C2×C22⋊Q8—131no—
1090C2×C22⋊Q8—131no—
1091C2×C22⋊Q8—131no—
1092C2×C22⋊Q8—131no—
1093C2×C22⋊Q8—131no—
1094C2×C22⋊Q8—131no—
1095C2×C22⋊Q8—131no—
1096C2×C22⋊Q8—131no—
1097C2×C22⋊Q8—131no—
1098C2×C22⋊Q8—131no—
1099C2×C22⋊Q8—131no—
1100C2×C22⋊Q8—131no—
1101C2×C22⋊Q8—131no—
1102C2×C22⋊Q8—131no—
1103C2×C22⋊Q8—131no—
1104C2×C22⋊Q8—131no—
1105C2×C22⋊Q8—131no—
1106C2×C22⋊Q8—131no—
1107C2×C22⋊Q8—131no—
1108C2×C22⋊Q8—131no—
1109C2×C22⋊Q8—131no—
1110C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1111C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1112C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1113C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1114C2×#121—131no—
1115C2×#121—131no—
1116C2×#121—131no—
1117C2×#121—131no—
1118C2×#121—131no—
1119C2×#121—131no—
1120C2×#121—131no—
1121C2×#121—131no—
1122C2×#121—131no—
1123C2×#121—131no—
1124C2×#121—131no—
1125C2×#121—131no—
1126C2×#121—131no—
1127C2×#121—131no—
1128C2×#121—1316no—
1129C2×#121—131no—
1130C2×#121—131no—
1131C2×#121—131no—
1132C2×#121—131no—
1133C2×#121—131no—
1134C2×#121—131no—
1135C2×#121—131no—
1136C2×#121—131no—
1137C2×#121—131no—
1138C2×#121—131no—
1139C2×#121—131no—
1140C2×#121—131no—
1141C2×#121—131no—
1142C2×#121—131no—
1143C2×#121C2×D1311yescharacteristic
1144C2×#121C2×D1311yescharacteristic, complemented
1145C2×#121C2×D1311yescharacteristic, complemented
1146C2×#121C2×D1311yescharacteristic, complemented
1147C2×#120—131no—
1148C2×#120—131no—
1149C2×#120—131no—
1150C2×#120—131no—
1151C2×#120—131no—
1152C2×#120—131no—
1153C2×C4×Q8—131no—
1154C2×C4×Q8—131no—
1155C2×C4×D4—131no—
1156C2×C4×D4—131no—
1157C2×C4×D4—131no—
1158C2×C4×D4—131no—
1159C2×C4×D4—131no—
1160C2×C4×D4—131no—
1161C2×C4×D4—131no—
1162C2×C4×D4—131no—
1163C2×C4×D4—131no—
1164C2×C4×D4—131no—
1165C2×C4×D4—131no—
1166C2×C4×D4—131no—
1167C2×C4×D4—131no—
1168C2×C4×D4—131no—
1169C2×#117—131no—
1170C22×C4⋊C4—131no—
1171C22×C4⋊C4—131no—
1172C22×C4⋊C4—131no—
1173C22×C4⋊C4—131no—
1174C22×C4⋊C4—131no—
1175C22×C4⋊C4—131no—
1176C22×C22⋊C4—131no—
1177C22×C22⋊C4—131no—
1178C22×C22⋊C4—131no—
1179C22×C22⋊C4—131no—
1180C22×C22⋊C4—131no—
1181C22×C22⋊C4—131no—
1182C22×C22⋊C4—131no—
1183C22×C22⋊C4—131no—
1184C22×C13—22no—
1185C22×C13—22no—
1186C22×C13—22no—
1187C22×C13—22no—
1188C22×C13—22no—
1189C22×C13—22no—
1190C22×C13—22no—
1191C22×C13—22no—
1192C22×C13—22no—
1193C22×C13—22no—
1194C22×C13—22no—
1195C22×C13—22no—
1196C22×C13—44no—
1197C22×C13—44no—
1198C22×C13—44no—
1199C22×C13—44no—
1200C22×C13C2×H(5,𝔽2)12yes—
1201C22×C13C2×H(5,𝔽2)12yes—
1202C22×C13C2×2−1+412yes—
1203C22×C13C2611yescharacteristic
1204C2×D13—22no—
1205C2×D13—22no—
1206C2×D13—22no—
1207C2×D13—22no—
1208C2×D13—28no—
1209C2×D13—28no—
1210C2×D13—22no—
1211C2×D13—22no—
1212C2×D13—22no—
1213C2×D13—22no—
1214C2×D13—22no—
1215C2×D13—22no—
1216C2×D13—22no—
1217C2×D13—22no—
1218C2×D13—22no—
1219C2×D13—416no—
1220C2×D13—44no—
1221C2×D13—44no—
1222C2×D13—44no—
1223C2×D13—88no—
1224C2×D13—88no—
1225C2×D13C2×H(5,𝔽2)14yes—
1226C2×D13C2×2−1+414yes—
1227C4×C13—22no—
1228C4×C13—22no—
1229C4×C13—22no—
1230C4×C13—22no—
1231C4×C13—22no—
1232C4×C13—22no—
1233C4×C13—22no—
1234C4×C13—22no—
1235C4×C13—22no—
1236C4×C13—22no—
1237C4×C13—22no—
1238Dic13—22no—
1239Dic13—22no—
1240Dic13—22no—
1241Dic13—22no—
1242Dic13—22no—
1243Dic13—22no—
1244Dic13—22no—
1245Dic13—22no—
1246Dic13—22no—
1247Dic13—22no—
1248Dic13C2×H(5,𝔽2)14yes—
1249C25—131no—
1250C25—131no—
1251C25—131no—
1252C2×#41—138no—
1253C2×#41—138no—
1254C2×#41—138no—
1255C2×#41—138no—
1256C2×#41—138no—
1257C2×#41—138no—
1258C2×#41—138no—
1259C2×#41—524no—
1260C2×#41—524no—
1261C2×#41—524no—
1262C2×#41—524no—
1263C2×#41—524no—
1264C2×#41—524no—
1265C2×#41—524no—
1266C22×Q8—138no—
1267C22×Q8—131no—
1268C22×Q8—131no—
1269C22×Q8—131no—
1270C22×Q8—131no—
1271C22×Q8—131no—
1272C22×Q8—131no—
1273C22×Q8—131no—
1274C22×Q8—524no—
1275C22×Q8C22×D1311yescharacteristic
1276C22×Q8C22×D1311yescharacteristic
1277C22×D4—131no—
1278C22×D4—131no—
1279C22×D4—131no—
1280C22×D4—131no—
1281C22×D4—131no—
1282C22×D4—131no—
1283C22×D4—131no—
1284C22×D4—131no—
1285C22×D4—131no—
1286C22×D4—131no—
1287C22×D4—131no—
1288C22×D4—131no—
1289C22×D4—131no—
1290C22×D4—131no—
1291C22×D4—138no—
1292C22×D4—138no—
1293C22×D4—138no—
1294C22×D4—131no—
1295C22×D4—131no—
1296C22×D4—131no—
1297C22×D4—131no—
1298C22×D4—131no—
1299C22×D4—131no—
1300C22×D4—131no—
1301C22×D4—524no—
1302C22×D4—524no—
1303C22×D4—524no—
1304C22×D4C22×D1311yescharacteristic
1305C22×D4C22×D1311yescharacteristic
1306C22×D4C22×D1311yescharacteristic
1307C22×D4C22×D1311yescharacteristic
1308C22×D4C22×D1311yescharacteristic
1309C22×D4C22×D1311yescharacteristic
1310C23×C4—131no—
1311C23×C4—131no—
1312C23×C4—131no—
1313C23×C4—131no—
1314C23×C4—131no—
1315C23×C4—131no—
1316C23×C4—131no—
1317C23×C4—131no—
1318C23×C4—131no—
1319C23×C4—131no—
1320C23×C4—131no—
1321C23×C4—131no—
1322C23×C4—131no—
1323C23×C4—131no—
1324C23×C4—131no—
1325C23×C4—131no—
1326C23×C4—131no—
1327C23×C4—131no—
1328C23×C4—131no—
1329C23×C4—131no—
1330C23×C4—131no—
1331C23×C4—131no—
1332C23×C4—138no—
1333C23×C4—524no—
1334C23×C4C22×D1311yescharacteristic
1335C23×C4C22×D1311yescharacteristic
1336C23×C4C22×D1311yescharacteristic
1337C23×C4C22×D1311yescharacteristic
1338C4⋊Q8—138no—
1339C4⋊Q8—138no—
1340#126—138no—
1341#126—138no—
1342#126—138no—
1343#126—138no—
1344#125—138no—
1345#125—138no—
1346#125—138no—
1347#125C22×D1318yescomplemented
1348#124—138no—
1349#124—138no—
1350#124—138no—
1351#124—138no—
1352#124—138no—
1353#124—138no—
1354#124—138no—
1355#124—138no—
1356#124C22×D1318yescomplemented
1357#124C22×D1318yescomplemented
1358#123—138no—
1359#123—138no—
1360#123—138no—
1361#123—138no—
1362#123—138no—
1363#123—138no—
1364#123—138no—
1365#123—138no—
1366#123—138no—
1367#123—138no—
1368#123—138no—
1369#123—138no—
1370#123—138no—
1371#123—138no—
1372#123C22×D1318yescomplemented
1373#123C22×D1318yescomplemented
1374#123C22×D1318yescomplemented
1375#123C22×D1318yescomplemented
1376C22⋊Q8—138no—
1377C22⋊Q8—138no—
1378C22⋊Q8—138no—
1379C22⋊Q8—138no—
1380C22⋊Q8—138no—
1381C22⋊Q8—138no—
1382C22⋊Q8—138no—
1383C22⋊Q8—138no—
1384C22⋊Q8—138no—
1385C22⋊Q8—138no—
1386C22⋊Q8—138no—
1387C22⋊Q8—138no—
1388C22⋊Q8—138no—
1389C22⋊Q8—138no—
1390C22⋊Q8—138no—
1391C22⋊Q8—138no—
1392C22⋊Q8—138no—
1393C22⋊Q8—138no—
1394C22⋊Q8—138no—
1395C22⋊Q8—138no—
1396C22⋊Q8—138no—
1397C22⋊Q8—138no—
1398C22⋊Q8—138no—
1399C22⋊Q8—138no—
1400C22⋊Q8—138no—
1401C22⋊Q8—138no—
1402C22⋊Q8—138no—
1403C22⋊Q8—138no—
1404C22⋊Q8—138no—
1405C22⋊Q8—138no—
1406C22⋊Q8—138no—
1407C22⋊Q8—138no—
1408C22⋊Q8C22×D1318yescomplemented
1409C22⋊Q8C22×D1318yescomplemented
1410C22⋊Q8C22×D1318yescomplemented
1411C22⋊Q8C22×D1318yescomplemented
1412#121—138no—
1413#121—138no—
1414#121—138no—
1415#121—138no—
1416#121—138no—
1417#121—138no—
1418#121—138no—
1419#121—138no—
1420#121—138no—
1421#121—138no—
1422#121—138no—
1423#121—138no—
1424#121—138no—
1425#121—138no—
1426#121—138no—
1427#121—138no—
1428#121—138no—
1429#121—138no—
1430#121—138no—
1431#121—138no—
1432#121—138no—
1433#121—138no—
1434#121—138no—
1435#121—138no—
1436#121—138no—
1437#121—138no—
1438#121—138no—
1439#121—138no—
1440#121C22×D1318yes—
1441#121C22×D1318yescomplemented
1442#121C22×D1318yescomplemented
1443#121C22×D1318yescomplemented
1444#120—138no—
1445#120—138no—
1446#120—138no—
1447#120—138no—
1448#120—138no—
1449#120—138no—
1450C4×Q8—138no—
1451C4×Q8—138no—
1452C4×D4—138no—
1453C4×D4—138no—
1454C4×D4—138no—
1455C4×D4—138no—
1456C4×D4—138no—
1457C4×D4—138no—
1458C4×D4—138no—
1459C4×D4—138no—
1460C4×D4—138no—
1461C4×D4—138no—
1462C4×D4—138no—
1463C4×D4—138no—
1464C4×D4—138no—
1465C4×D4—138no—
1466#117—138no—
1467C2×C4⋊C4—131no—
1468C2×C4⋊C4—131no—
1469C2×C4⋊C4—131no—
1470C2×C4⋊C4—131no—
1471C2×C4⋊C4—131no—
1472C2×C4⋊C4—131no—
1473C2×C4⋊C4—131no—
1474C2×C4⋊C4—131no—
1475C2×C4⋊C4—131no—
1476C2×C4⋊C4—131no—
1477C2×C4⋊C4—131no—
1478C2×C4⋊C4—131no—
1479C2×C4⋊C4—131no—
1480C2×C4⋊C4—131no—
1481C2×C4⋊C4—131no—
1482C2×C4⋊C4—138no—
1483C2×C4⋊C4—131no—
1484C2×C4⋊C4—131no—
1485C2×C4⋊C4—131no—
1486C2×C4⋊C4—131no—
1487C2×C4⋊C4—131no—
1488C2×C4⋊C4—131no—
1489C2×C4⋊C4—131no—
1490C2×C4⋊C4—131no—
1491C2×C4⋊C4—131no—
1492C2×C4⋊C4—131no—
1493C2×C4⋊C4—131no—
1494C2×C4⋊C4—131no—
1495C2×C4⋊C4—131no—
1496C2×C4⋊C4—138no—
1497C2×C4⋊C4—138no—
1498C2×C4⋊C4—138no—
1499C2×C4⋊C4—138no—
1500C2×C4⋊C4—138no—
1501C2×C4⋊C4C22×D1311yescharacteristic
1502C2×C4⋊C4C22×D1311yescharacteristic
1503C2×C4⋊C4C22×D1311yescharacteristic
1504C2×C4⋊C4C22×D1311yescharacteristic
1505C2×C4⋊C4C22×D1311yescharacteristic
1506C2×C4⋊C4C22×D1311yescharacteristic
1507C2×C4⋊C4C22×D1311yescharacteristic
1508C2×C4⋊C4C22×D1311yescharacteristic
1509C2×C4⋊C4C22×D1311yescharacteristic
1510C2×C4⋊C4C22×D1311yescharacteristic
1511C2×C22⋊C4—131no—
1512C2×C22⋊C4—131no—
1513C2×C22⋊C4—131no—
1514C2×C22⋊C4—131no—
1515C2×C22⋊C4—131no—
1516C2×C22⋊C4—131no—
1517C2×C22⋊C4—131no—
1518C2×C22⋊C4—131no—
1519C2×C22⋊C4—131no—
1520C2×C22⋊C4—131no—
1521C2×C22⋊C4—131no—
1522C2×C22⋊C4—131no—
1523C2×C22⋊C4—131no—
1524C2×C22⋊C4—131no—
1525C2×C22⋊C4—131no—
1526C2×C22⋊C4—131no—
1527C2×C22⋊C4—131no—
1528C2×C22⋊C4—131no—
1529C2×C22⋊C4—131no—
1530C2×C22⋊C4—131no—
1531C2×C22⋊C4—131no—
1532C2×C22⋊C4—131no—
1533C2×C22⋊C4—131no—
1534C2×C22⋊C4—131no—
1535C2×C22⋊C4—138no—
1536C2×C22⋊C4—138no—
1537C2×C22⋊C4—131no—
1538C2×C22⋊C4—131no—
1539C2×C22⋊C4—131no—
1540C2×C22⋊C4—131no—
1541C2×C22⋊C4—131no—
1542C2×C22⋊C4—131no—
1543C2×C22⋊C4—131no—
1544C2×C22⋊C4—131no—
1545C2×C22⋊C4—131no—
1546C2×C22⋊C4—131no—
1547C2×C22⋊C4—138no—
1548C2×C22⋊C4—138no—
1549C2×C22⋊C4—138no—
1550C2×C22⋊C4—138no—
1551C2×C22⋊C4—138no—
1552C2×C22⋊C4—138no—
1553C2×C22⋊C4C22×D1311yescharacteristic
1554C2×C22⋊C4C22×D1311yescharacteristic
1555C2×C22⋊C4C22×D1311yescharacteristic
1556C2×C22⋊C4C22×D1311yescharacteristic
1557C2×C22⋊C4C22×D1311yescharacteristic
1558C2×C22⋊C4C22×D1311yescharacteristic
1559C2×C22⋊C4C22×D1311yescharacteristic
1560C2×C22⋊C4C22×D1311yescharacteristic
1561C2×C22⋊C4C22×D1311yescharacteristic
1562C2×C22⋊C4C22×D1311yescharacteristic
1563C2×C22⋊C4C22×D1311yescharacteristic
1564C2×C22⋊C4C22×D1311yescharacteristic
1565C2×C42—131no—
1566C2×C42—131no—
1567C2×C42—131no—
1568C2×C42—131no—
1569C2×C42—131no—
1570C2×C42C22×D1311yescharacteristic
1571C2×C13—42no—
1572C2×C13—42no—
1573C2×C13—42no—
1574C2×C13—42no—
1575C2×C13#353614yescomplemented
1576C2×C13C22×H(5,𝔽2)11yescharacteristic
1577C2×C13C22×H(5,𝔽2)11yescharacteristic
1578C2×C13C22×2−1+411yescharacteristic
1579D13—24no—
1580D13—24no—
1581D13—42no—
1582D13—42no—
1583D13—42no—
1584C24—131no—
1585C24—131no—
1586C24—131no—
1587C24—131no—
1588C24—131no—
1589C24—134no—
1590C24—134no—
1591C24—134no—
1592C24—264no—
1593C24—264no—
1594C24—264no—
1595C24—264no—
1596C24—522no—
1597C24—522no—
1598C24—522no—
1599C24—522no—
1600C24—522no—
1601C24C23×D1311yescharacteristic
1602C24C23×D1311yescharacteristic
1603C24C23×D1311yescharacteristic
1604C24C23×D1311yescharacteristic
1605#41—5216no—
1606#41—5216no—
1607#41—5216no—
1608#41—5216no—
1609#41—5216no—
1610#41—5216no—
1611#41—5216no—
1612C2×Q8—42no—
1613C2×Q8—42no—
1614C2×Q8—134no—
1615C2×Q8—134no—
1616C2×Q8—134no—
1617C2×Q8—134no—
1618C2×Q8—134no—
1619C2×Q8—134no—
1620C2×Q8—134no—
1621C2×Q8—264no—
1622C2×Q8—264no—
1623C2×Q8—522no—
1624C2×Q8—522no—
1625C2×Q8—522no—
1626C2×Q8—522no—
1627C2×Q8—522no—
1628C2×Q8—5216no—
1629C2×Q8C23×D1314yes—
1630C2×Q8C23×D1314yes—
1631C2×D4—42no—
1632C2×D4—42no—
1633C2×D4—42no—
1634C2×D4—42no—
1635C2×D4—42no—
1636C2×D4—42no—
1637C2×D4—134no—
1638C2×D4—134no—
1639C2×D4—134no—
1640C2×D4—134no—
1641C2×D4—134no—
1642C2×D4—134no—
1643C2×D4—134no—
1644C2×D4—134no—
1645C2×D4—134no—
1646C2×D4—134no—
1647C2×D4—134no—
1648C2×D4—134no—
1649C2×D4—134no—
1650C2×D4—134no—
1651C2×D4—134no—
1652C2×D4—134no—
1653C2×D4—134no—
1654C2×D4—134no—
1655C2×D4—134no—
1656C2×D4—134no—
1657C2×D4—134no—
1658C2×D4—264no—
1659C2×D4—264no—
1660C2×D4—264no—
1661C2×D4—264no—
1662C2×D4—264no—
1663C2×D4—264no—
1664C2×D4—264no—
1665C2×D4—264no—
1666C2×D4—264no—
1667C2×D4—264no—
1668C2×D4—522no—
1669C2×D4—522no—
1670C2×D4—522no—
1671C2×D4—5216no—
1672C2×D4—522no—
1673C2×D4—522no—
1674C2×D4—522no—
1675C2×D4—522no—
1676C2×D4—522no—
1677C2×D4—522no—
1678C2×D4—522no—
1679C2×D4—522no—
1680C2×D4—5216no—
1681C2×D4—5216no—
1682C2×D4C23×D1314yes—
1683C2×D4C23×D1314yes—
1684C2×D4C23×D1314yes—
1685C2×D4C23×D1314yes—
1686C2×D4C23×D1314yes—
1687C2×D4C23×D1314yes—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—131no—
1693C22×C4—134no—
1694C22×C4—134no—
1695C22×C4—131no—
1696C22×C4—131no—
1697C22×C4—131no—
1698C22×C4—131no—
1699C22×C4—131no—
1700C22×C4—131no—
1701C22×C4—131no—
1702C22×C4—131no—
1703C22×C4—131no—
1704C22×C4—131no—
1705C22×C4—134no—
1706C22×C4—134no—
1707C22×C4—134no—
1708C22×C4—134no—
1709C22×C4—134no—
1710C22×C4—134no—
1711C22×C4—134no—
1712C22×C4—134no—
1713C22×C4—134no—
1714C22×C4—134no—
1715C22×C4—134no—
1716C22×C4—134no—
1717C22×C4—134no—
1718C22×C4—134no—
1719C22×C4—134no—
1720C22×C4—134no—
1721C22×C4—134no—
1722C22×C4—134no—
1723C22×C4—134no—
1724C22×C4—134no—
1725C22×C4—264no—
1726C22×C4—264no—
1727C22×C4—264no—
1728C22×C4—264no—
1729C22×C4—264no—
1730C22×C4—264no—
1731C22×C4—264no—
1732C22×C4—522no—
1733C22×C4—522no—
1734C22×C4—522no—
1735C22×C4—522no—
1736C22×C4—522no—
1737C22×C4—522no—
1738C22×C4—522no—
1739C22×C4—522no—
1740C22×C4—522no—
1741C22×C4—522no—
1742C22×C4—522no—
1743C22×C4—522no—
1744C22×C4—5216no—
1745C22×C4—522no—
1746C22×C4—522no—
1747C22×C4—522no—
1748C22×C4C23×D1311yescharacteristic
1749C22×C4C23×D1311yescharacteristic
1750C22×C4C23×D1311yescharacteristic
1751C22×C4C23×D1311yescharacteristic
1752C22×C4C23×D1311yescharacteristic
1753C22×C4C23×D1311yescharacteristic
1754C22×C4C23×D1311yescharacteristic
1755C22×C4C23×D1311yescharacteristic
1756C22×C4C23×D1311yescharacteristic
1757C22×C4C23×D1311yescharacteristic
1758C22×C4C23×D1311yescharacteristic
1759C22×C4C23×D1314yes—
1760C22×C4C23×D1314yes—
1761C22×C4C23×D1314yes—
1762C22×C4C23×D1314yes—
1763C4⋊C4—134no—
1764C4⋊C4—134no—
1765C4⋊C4—134no—
1766C4⋊C4—134no—
1767C4⋊C4—134no—
1768C4⋊C4—134no—
1769C4⋊C4—134no—
1770C4⋊C4—134no—
1771C4⋊C4—134no—
1772C4⋊C4—134no—
1773C4⋊C4—134no—
1774C4⋊C4—134no—
1775C4⋊C4—134no—
1776C4⋊C4—134no—
1777C4⋊C4—134no—
1778C4⋊C4—134no—
1779C4⋊C4—134no—
1780C4⋊C4—134no—
1781C4⋊C4—134no—
1782C4⋊C4—134no—
1783C4⋊C4—134no—
1784C4⋊C4—134no—
1785C4⋊C4—134no—
1786C4⋊C4—134no—
1787C4⋊C4—134no—
1788C4⋊C4—134no—
1789C4⋊C4—134no—
1790C4⋊C4—134no—
1791C4⋊C4C23×D1314yes—
1792C4⋊C4C23×D1314yes—
1793C4⋊C4C23×D1314yes—
1794C4⋊C4C23×D1314yes—
1795C4⋊C4C23×D1314yes—
1796C4⋊C4C23×D1314yes—
1797C4⋊C4C23×D1314yes—
1798C4⋊C4C23×D1314yes—
1799C4⋊C4C23×D1314yes—
1800C4⋊C4C23×D1314yes—
1801C22⋊C4—134no—
1802C22⋊C4—134no—
1803C22⋊C4—134no—
1804C22⋊C4—134no—
1805C22⋊C4—134no—
1806C22⋊C4—134no—
1807C22⋊C4—134no—
1808C22⋊C4—134no—
1809C22⋊C4—134no—
1810C22⋊C4—134no—
1811C22⋊C4—134no—
1812C22⋊C4—134no—
1813C22⋊C4—134no—
1814C22⋊C4—134no—
1815C22⋊C4—134no—
1816C22⋊C4—134no—
1817C22⋊C4—134no—
1818C22⋊C4—134no—
1819C22⋊C4—134no—
1820C22⋊C4—134no—
1821C22⋊C4—134no—
1822C22⋊C4—134no—
1823C22⋊C4—134no—
1824C22⋊C4—134no—
1825C22⋊C4—134no—
1826C22⋊C4—134no—
1827C22⋊C4—134no—
1828C22⋊C4—134no—
1829C22⋊C4—134no—
1830C22⋊C4—134no—
1831C22⋊C4—134no—
1832C22⋊C4—134no—
1833C22⋊C4—134no—
1834C22⋊C4—134no—
1835C22⋊C4C23×D1314yes—
1836C22⋊C4C23×D1314yes—
1837C22⋊C4C23×D1314yes—
1838C22⋊C4C23×D1314yes—
1839C22⋊C4C23×D1314yes—
1840C22⋊C4C23×D1314yes—
1841C22⋊C4C23×D1314yes—
1842C22⋊C4C23×D1314yes—
1843C22⋊C4C23×D1314yes—
1844C22⋊C4C23×D1314yes—
1845C22⋊C4C23×D1314yes—
1846C22⋊C4C23×D1314yes—
1847C42—134no—
1848C42—134no—
1849C42—134no—
1850C42—134no—
1851C42—134no—
1852C42C23×D1314yes—
1853C13C2×#353611yescharacteristic, complemented, Sylow
1854C23—22no—
1855C23—22no—
1856C23—22no—
1857C23—22no—
1858C23—22no—
1859C23—22no—
1860C23—22no—
1861C23—22no—
1862C23—22no—
1863C23—22no—
1864C23—22no—
1865C23—22no—
1866C23—134no—
1867C23—134no—
1868C23—132no—
1869C23—132no—
1870C23—132no—
1871C23—132no—
1872C23—132no—
1873C23—268no—
1874C23—268no—
1875C23—268no—
1876C23—268no—
1877C23—262no—
1878C23—262no—
1879C23—262no—
1880C23—262no—
1881C23—262no—
1882C23—262no—
1883C23—262no—
1884C23—262no—
1885C23—262no—
1886C23—262no—
1887C23—262no—
1888C23—262no—
1889C23—262no—
1890C23—524no—
1891C23—524no—
1892C23—524no—
1893C23—524no—
1894C23—524no—
1895C23—5216no—
1896C23—1048no—
1897C23—1048no—
1898C23C24×D1312yes—
1899C23C24×D1312yes—
1900C23C24×D1312yes—
1901C23C24×D1312yes—
1902C23C24×D1311yescharacteristic
1903Q8—44no—
1904Q8—44no—
1905Q8—268no—
1906Q8—268no—
1907Q8—524no—
1908Q8—524no—
1909Q8—524no—
1910Q8—524no—
1911Q8—524no—
1912D4—44no—
1913D4—44no—
1914D4—44no—
1915D4—44no—
1916D4—44no—
1917D4—44no—
1918D4—268no—
1919D4—268no—
1920D4—268no—
1921D4—268no—
1922D4—268no—
1923D4—268no—
1924D4—268no—
1925D4—268no—
1926D4—268no—
1927D4—268no—
1928D4—524no—
1929D4—524no—
1930D4—524no—
1931D4—524no—
1932D4—524no—
1933D4—524no—
1934D4—524no—
1935D4—524no—
1936D4—524no—
1937D4—524no—
1938D4—524no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—44no—
1951C2×C4—44no—
1952C2×C4—44no—
1953C2×C4—44no—
1954C2×C4—134no—
1955C2×C4—132no—
1956C2×C4—132no—
1957C2×C4—132no—
1958C2×C4—132no—
1959C2×C4—132no—
1960C2×C4—132no—
1961C2×C4—132no—
1962C2×C4—132no—
1963C2×C4—132no—
1964C2×C4—132no—
1965C2×C4—132no—
1966C2×C4—268no—
1967C2×C4—268no—
1968C2×C4—268no—
1969C2×C4—268no—
1970C2×C4—268no—
1971C2×C4—268no—
1972C2×C4—268no—
1973C2×C4—262no—
1974C2×C4—262no—
1975C2×C4—262no—
1976C2×C4—262no—
1977C2×C4—262no—
1978C2×C4—262no—
1979C2×C4—262no—
1980C2×C4—262no—
1981C2×C4—262no—
1982C2×C4—262no—
1983C2×C4—524no—
1984C2×C4—524no—
1985C2×C4—524no—
1986C2×C4—524no—
1987C2×C4—524no—
1988C2×C4—524no—
1989C2×C4—524no—
1990C2×C4—524no—
1991C2×C4—524no—
1992C2×C4—524no—
1993C2×C4—524no—
1994C2×C4—524no—
1995C2×C4—524no—
1996C2×C4—524no—
1997C2×C4—524no—
1998C2×C4C24×D1312yes—
1999C2×C4C24×D1312yes—
2000C2×C4C24×D1312yes—
2001C2×C4C24×D1312yes—
2002C2×C4C24×D1312yes—
2003C2×C4C24×D1312yes—
2004C2×C4C24×D1312yes—
2005C2×C4C24×D1312yes—
2006C2×C4C24×D1312yes—
2007C2×C4C24×D1312yes—
2008C2×C4C24×D1312yes—
2009C22—22no—
2010C22—22no—
2011C22—22no—
2012C22—22no—
2013C22—22no—
2014C22—22no—
2015C22—22no—
2016C22—22no—
2017C22—22no—
2018C22—22no—
2019C22—22no—
2020C22—22no—
2021C22—44no—
2022C22—44no—
2023C22—44no—
2024C22—44no—
2025C22—134no—
2026C22—134no—
2027C22—268no—
2028C22—268no—
2029C22—262no—
2030C22—262no—
2031C22—262no—
2032C22—262no—
2033C22—262no—
2034C22—262no—
2035C22—262no—
2036C22—262no—
2037C22—262no—
2038C22—262no—
2039C22—262no—
2040C22—262no—
2041C22—262no—
2042C22—5216no—
2043C22—524no—
2044C22—524no—
2045C22—524no—
2046C22—1048no—
2047C22—1048no—
2048C22D13×H(5,𝔽2)12yes—
2049C22D13×H(5,𝔽2)12yes—
2050C22D13×2−1+412yes—
2051C22C25×D1311yescharacteristic
2052C4—22no—
2053C4—22no—
2054C4—22no—
2055C4—22no—
2056C4—22no—
2057C4—22no—
2058C4—22no—
2059C4—22no—
2060C4—22no—
2061C4—22no—
2062C4—22no—
2063C4—134no—
2064C4—262no—
2065C4—262no—
2066C4—262no—
2067C4—262no—
2068C4—262no—
2069C4—262no—
2070C4—262no—
2071C4—262no—
2072C4—262no—
2073C4—262no—
2074C2—42no—
2075C2—42no—
2076C2—42no—
2077C2—42no—
2078C2—264no—
2079C2—264no—
2080C2—522no—
2081C2—522no—
2082C2—522no—
2083C2#1312905514yesdirect product factor
2084C2C2×D13×H(5,𝔽2)11yescharacteristic
2085C2C2×D13×H(5,𝔽2)11yescharacteristic
2086C2C2×D13×2−1+411yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#562C2
socleC23×C13C25
hypercenterC2×#562D13
hypocenterC13C2×#3536
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#562

Complements

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

NH ≅ G/Ntype
1. #13129055C2direct (N × H)
2. C2×#11719372C2semidirect
3. C2×#11719352C2semidirect
4. C2×#11719326C2semidirect
5. C2×#11719395C2semidirect
6. C2×#11719341C2semidirect
7. C2×#11719338C2semidirect
8. C2×#11719382C2semidirect
9. C2×#11719336C2semidirect
10. C2×#11719360C2semidirect
11. C2×#11719317C2semidirect
12. C2×#11719381C2semidirect
13. C2×#11719359C2semidirect
14. C2×#11719359C2semidirect
15. C2×#11719315C2semidirect
16. C2×#11719315C2semidirect
17. C2×#11719339C2semidirect
18. C2×#11719339C2semidirect
19. C2×#11719367C2semidirect
20. C2×#11719374C2semidirect
21. C2×#11719397C2semidirect
22. C2×#11719365C2semidirect
23. C2×#11719362C2semidirect
24. C2×#11719383C2semidirect
25. C2×#11719334C2semidirect
26. C2×#11719313C2semidirect
27. C2×#11719313C2semidirect
28. C2×#11719302C2semidirect
29. C2×#11719361C2semidirect
30. C2×D13×C22⋊Q8C2semidirect
31. C2×D13×#121C2semidirect
32. C2×C13×#562C2semidirect
33. C22×#6131C22semidirect
34. C22×Q8×D13C22semidirect
35. C22×#6129C22semidirect
36. C22×#6129C22semidirect
37. C22×#6129C22semidirect
41. C22×#6127C22semidirect
42. C22×#6127C22semidirect
43. C22×#6127C22semidirect
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
58. C2×C13×#121C22semidirect
59. C2×C13×#121C22semidirect
60. C2×C13×#121C22semidirect
61. C2×#88201C22semidirect
64. C2×#88200C22semidirect
65. C2×#88200C22semidirect
66. C2×#88198C22semidirect
69. C2×#88193C22semidirect
70. C2×#88193C22semidirect
71. C2×#88193C22semidirect
72. C2×#88193C22semidirect
73. C2×#88193C22semidirect
75. C2×#88192C22semidirect
76. C2×#88192C22semidirect
77. C2×#88192C22semidirect
78. C2×#88192C22semidirect
82. C2×#88190C22semidirect
83. C2×#88189C22semidirect
84. C2×#88189C22semidirect
86. C2×#88184C22semidirect
87. C2×#88183C22semidirect
89. C2×C4×C22⋊D13C22semidirect
90. C2×C4×C22⋊D13C22semidirect
93. C2×#88178C22semidirect
94. C2×#88178C22semidirect
95. C2×#88178C22semidirect
96. C22×#6101C22semidirect
97. #11719397C22semidirect
98. #11719395C22semidirect
99. #11719383C22semidirect
100. #11719382C22semidirect
101. #11719381C22semidirect
102. #11719374C22semidirect
103. #11719372C22semidirect
104. #11719367C22semidirect
105. #11719365C22semidirect
106. #11719362C22semidirect
107. #11719361C22semidirect
108. #11719360C22semidirect
109. #11719359C22semidirect
110. #11719359C22semidirect
111. #11719352C22semidirect
112. #11719341C22semidirect
113. #11719339C22semidirect
114. #11719339C22semidirect
115. #11719338C22semidirect
116. #11719336C22semidirect
117. #11719334C22semidirect
118. D13×C22⋊Q8C22semidirect
119. #11719326C22semidirect
120. #11719317C22semidirect
121. #11719315C22semidirect
122. #11719315C22semidirect
123. #11719313C22semidirect
124. #11719313C22semidirect
125. D13×#121C22semidirect
126. #11719302C22semidirect
127. C2×#88152C22semidirect
130. C2×#88151C22semidirect
131. C2×#88151C22semidirect
132. C2×#88151C22semidirect
138. C2×#88150C22semidirect
139. C2×#88150C22semidirect
140. C2×#88150C22semidirect
141. C2×#88150C22semidirect
142. C2×#88150C22semidirect
143. C2×#88150C22semidirect
144. C2×#88150C22semidirect
146. C2×#88149C22semidirect
147. C2×#88149C22semidirect
148. C2×#88148C22semidirect
149. C2×#88148C22semidirect
150. C2×#88148C22semidirect
151. C2×#88148C22semidirect
152. C2×#88148C22semidirect
155. C2×#88147C22semidirect
156. C2×#88147C22semidirect
158. C2×C4⋊C4×D13C22semidirect
159. C2×C4⋊C4×D13C22semidirect
160. C2×C4⋊C4×D13C22semidirect
161. C2×C4⋊C4×D13C22semidirect
162. C2×#88144C22semidirect
163. C2×#88143C22semidirect
164. C2×#88143C22semidirect
165. C2×#88142C22semidirect
166. C2×#88141C22semidirect
167. C2×#88140C22semidirect
168. C2×#88139C22semidirect
169. C2×#88139C22semidirect
170. C2×#88139C22semidirect
171. C2×#88139C22semidirect
172. C2×#88139C22semidirect
173. C2×#88139C22semidirect
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×#88137C22semidirect
186. C2×#88137C22semidirect
187. C2×#88137C22semidirect
188. C2×#88137C22semidirect
189. C2×#88137C22semidirect
195. C2×#88135C22semidirect
196. C2×#88135C22semidirect
197. C2×#88135C22semidirect
204. C2×#88133C22semidirect
205. C2×#88133C22semidirect
206. C2×#88132C22semidirect
207. C2×#88132C22semidirect
208. C2×#88132C22semidirect
209. C2×#88132C22semidirect
210. C2×#88132C22semidirect
211. C2×#88132C22semidirect
212. C2×#88132C22semidirect
213. C2×#88132C22semidirect
214. C2×#88131C22semidirect
215. C2×#88130C22semidirect
217. C2×C4×D52C22semidirect
218. C2×C4×Dic26C22semidirect
254. C2×#6131C23semidirect
256. C2×Q8×D13C23semidirect
260. C2×#6129C23semidirect
261. C2×#6129C23semidirect
262. C2×#6129C23semidirect
272. C2×#6127C23semidirect
273. C2×#6127C23semidirect
274. C2×#6127C23semidirect
308. C13×#125C23semidirect
309. C13×#124C23semidirect
310. C13×#124C23semidirect
311. C13×#123C23semidirect
312. C13×#123C23semidirect
313. C13×#123C23semidirect
314. C13×#123C23semidirect
315. C13×C22⋊Q8C23semidirect
316. C13×C22⋊Q8C23semidirect
317. C13×C22⋊Q8C23semidirect
318. C13×C22⋊Q8C23semidirect
320. C13×#121C23semidirect
321. C13×#121C23semidirect
322. C13×#121C23semidirect
356. #88201C23semidirect
359. #88200C23semidirect
360. #88200C23semidirect
361. #88198C23semidirect
364. #88193C23semidirect
365. #88193C23semidirect
366. #88193C23semidirect
367. #88193C23semidirect
368. #88193C23semidirect
370. #88192C23semidirect
371. #88192C23semidirect
372. #88192C23semidirect
373. #88192C23semidirect
377. #88190C23semidirect
378. #88189C23semidirect
379. #88189C23semidirect
381. #88184C23semidirect
382. #88183C23semidirect
384. C4×C22⋊D13C23semidirect
385. C4×C22⋊D13C23semidirect
420. #88178C23semidirect
421. #88178C23semidirect
422. #88178C23semidirect
443. C2×#6101C23semidirect
449. #88152C23semidirect
452. #88151C23semidirect
453. #88151C23semidirect
454. #88151C23semidirect
460. #88150C23semidirect
461. #88150C23semidirect
462. #88150C23semidirect
463. #88150C23semidirect
464. #88150C23semidirect
465. #88150C23semidirect
466. #88150C23semidirect
468. #88149C23semidirect
469. #88149C23semidirect
470. #88148C23semidirect
471. #88148C23semidirect
472. #88148C23semidirect
473. #88148C23semidirect
474. #88148C23semidirect
477. #88147C23semidirect
478. #88147C23semidirect
480. C4⋊C4×D13C23semidirect
481. C4⋊C4×D13C23semidirect
482. C4⋊C4×D13C23semidirect
483. C4⋊C4×D13C23semidirect
484. #88144C23semidirect
485. #88143C23semidirect
486. #88143C23semidirect
487. #88142C23semidirect
488. #88141C23semidirect
489. #88140C23semidirect
490. #88139C23semidirect
491. #88139C23semidirect
492. #88139C23semidirect
493. #88139C23semidirect
494. #88139C23semidirect
495. #88139C23semidirect
499. #88138C23semidirect
500. #88138C23semidirect
501. #88138C23semidirect
502. #88138C23semidirect
503. #88138C23semidirect
504. #88138C23semidirect
505. #88138C23semidirect
506. #88138C23semidirect
507. #88137C23semidirect
508. #88137C23semidirect
509. #88137C23semidirect
510. #88137C23semidirect
511. #88137C23semidirect
517. #88135C23semidirect
518. #88135C23semidirect
519. #88135C23semidirect
526. #88133C23semidirect
527. #88133C23semidirect
528. #88132C23semidirect
529. #88132C23semidirect
530. #88132C23semidirect
531. #88132C23semidirect
532. #88132C23semidirect
533. #88132C23semidirect
534. #88132C23semidirect
535. #88132C23semidirect
536. #88131C23semidirect
537. #88130C23semidirect
539. C4×D52C23semidirect
540. C4×Dic26C23semidirect
815. C2×#562D13semidirect
1013. #562C2×D13semidirect
1047. C2×#125C2×D13semidirect
1056. C2×#124C2×D13semidirect
1057. C2×#124C2×D13semidirect
1073. C2×#123C2×D13semidirect
1074. C2×#123C2×D13semidirect
1075. C2×#123C2×D13semidirect
1076. C2×#123C2×D13semidirect
1110. C2×C22⋊Q8C2×D13semidirect
1111. C2×C22⋊Q8C2×D13semidirect
1112. C2×C22⋊Q8C2×D13semidirect
1113. C2×C22⋊Q8C2×D13semidirect
1144. C2×#121C2×D13semidirect
1145. C2×#121C2×D13semidirect
1146. C2×#121C2×D13semidirect
1347. #125C22×D13semidirect
1356. #124C22×D13semidirect
1357. #124C22×D13semidirect
1372. #123C22×D13semidirect
1373. #123C22×D13semidirect
1374. #123C22×D13semidirect
1375. #123C22×D13semidirect
1408. C22⋊Q8C22×D13semidirect
1409. C22⋊Q8C22×D13semidirect
1410. C22⋊Q8C22×D13semidirect
1411. C22⋊Q8C22×D13semidirect
1441. #121C22×D13semidirect
1442. #121C22×D13semidirect
1443. #121C22×D13semidirect
1575. C2×C13#3536semidirect
1853. C13C2×#3536semidirect
2083. C2#13129055direct (N × H)

Maximal subgroups

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

subgroupindex
#131290552
C2×#117193722
C2×#117193522
C2×#117193262
C2×#117193952
C2×#117193412
C2×#117193382
C2×#117193822
C2×#117193362
C2×#117193602
C2×#117193172
C2×#117193812
C2×#117193592
C2×#117193152
C2×#117193392
C2×#117193672
C2×#117193742
C2×#117193972
C2×#117193652
C2×#117193622
C2×#117193832
C2×#117193342
C2×#117193132
C2×#117193022
C2×#117193612
C2×D13×C22⋊Q82
C2×D13×#1212
C2×C13×#5622
C2×#353613