Finite Group Databasebeta

← C2×#13129029 #16770105

Subgroups — C2×#13129029 #16770105

Order 3328.

8166 conjugacy classes of subgroups.

The subgroup lattice has 2164 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129029C2132yesmaximal, direct product factor
2C2×#11719372C211yesmaximal, characteristic, complemented
3C2×#11719352C211yesmaximal, characteristic, complemented
4C2×#11719416C211yesmaximal, characteristic, complemented
5C2×#11719371C211yesmaximal, characteristic, complemented
6C2×#11719414C211yesmaximal, characteristic, complemented
7C2×#11719235C211yesmaximal, characteristic, complemented
8C2×#11719232C211yesmaximal, characteristic, complemented
9C2×#11719255C211yesmaximal, characteristic, complemented
10C2×#11719381C211yesmaximal, characteristic, complemented
11C2×#11719359C211yesmaximal, characteristic, complemented
12C2×#11719335C211yesmaximal, characteristic, complemented
13C2×#11719195C211yesmaximal, characteristic, complemented
14C2×#11719195C211yesmaximal, characteristic, complemented
15C2×D4×D52C211yesmaximal, characteristic, complemented
16C2×#11719295C211yesmaximal, characteristic, complemented
17C2×#11719240C211yesmaximal, characteristic, complemented
18C2×#11719267C211yesmaximal, characteristic, complemented
19C2×#11719350C211yesmaximal, characteristic, complemented
20C2×#11719269C211yesmaximal, characteristic, complemented
21C2×#11719412C211yesmaximal, characteristic, complemented
22C2×#11719409C211yesmaximal, characteristic, complemented
23C2×#11719362C211yesmaximal, characteristic, complemented
24C2×#11719383C211yesmaximal, characteristic, complemented
25C2×#11719334C211yesmaximal, characteristic, complemented
26C2×#11719198C211yesmaximal, characteristic, complemented
27C2×#11719358C211yesmaximal, characteristic, complemented
28C2×#11719294C211yesmaximal, characteristic, complemented
29C2×#11719229C211yesmaximal, characteristic, complemented
30C2×D13×#123C211yesmaximal, characteristic, complemented
31C22×#88138C211yesmaximal, characteristic, complemented
32C2×C13×#551C211yesmaximal, characteristic, complemented
33C23×C22⋊D13C2211yescharacteristic, complemented
34C23×C22⋊D13C2211yescharacteristic, complemented
35C23×C22⋊D13C2211yescharacteristic, complemented
36C22×#6131C2211yescharacteristic, complemented
37C22×D4×D13C2211yescharacteristic
38C22×D4×D13C2211yescharacteristic, complemented
39C22×D4×D13C2211yescharacteristic, complemented
40C22×#6127C2211yescharacteristic, complemented
41C22×#6127C2211yescharacteristic, complemented
42C23×D52C2211yescharacteristic, complemented
43C23×D52C2211yescharacteristic, complemented
44C23×C4×D13C2211yescharacteristic, complemented
45C13×#551C22116yescomplemented
46C2×C13×#126C2211yescharacteristic, complemented
47C2×C13×#126C2211yescharacteristic, complemented
48C2×C13×#124C2211yescharacteristic, complemented
49C2×C13×#123C2211yescharacteristic, complemented
50C2×C13×#123C2211yescharacteristic, complemented
51C2×C13×#123C2211yescharacteristic, complemented
52C2×C13×C22⋊Q8C2211yescharacteristic, complemented
53C2×C13×C22⋊Q8C2211yescharacteristic, complemented
54C2×C13×#120C2211yescharacteristic
55C2×C4×D4×C13C2211yescharacteristic, complemented
56C2×C4×D4×C13C2211yescharacteristic, complemented
57C2×C13×#117C2211yescharacteristic, complemented
58C2×C13×#117C2211yescharacteristic, complemented
59C22×C13×C22⋊C4C2211yescharacteristic, complemented
60C22×C13×C22⋊C4C2211yescharacteristic, complemented
61C2×#88207C2211yescharacteristic, complemented
62C2×#88201C2211yescharacteristic, complemented
63C2×#88200C2211yescharacteristic, complemented
64C2×#88200C2211yescharacteristic, complemented
65C2×#88194C2211yescharacteristic, complemented
66C2×#88193C2211yescharacteristic
67C2×#88193C2211yescharacteristic, complemented
68C2×#88192C2211yescharacteristic, complemented
69C2×#88192C2211yescharacteristic, complemented
70C2×#88191C2211yescharacteristic, complemented
71C2×#88191C2211yescharacteristic, complemented
72C2×#88191C2211yescharacteristic, complemented
73C2×#88189C2211yescharacteristic, complemented
74C2×#88184C2211yescharacteristic
75C2×#88184C2211yescharacteristic, complemented
76C2×#88184C2211yescharacteristic, complemented
77C2×#88184C2211yescharacteristic, complemented
78C2×#88184C2211yescharacteristic, complemented
79C2×#88184C2211yescharacteristic, complemented
80C2×#88184C2211yescharacteristic, complemented
81C2×#88183C2211yescharacteristic, complemented
82C2×#88183C2211yescharacteristic, complemented
83C2×#88183C2211yescharacteristic, complemented
84C2×C4×C22⋊D13C2211yescharacteristic, complemented
85C2×C4×C22⋊D13C2211yescharacteristic, complemented
86C22×#6103C2211yescharacteristic, complemented
87C2×#88178C2211yescharacteristic, complemented
88C22×#6101C2211yescharacteristic, complemented
89#11719416C22116yescomplemented
90#11719414C22116yescomplemented
91#11719412C22116yescomplemented
92#11719409C22116yescomplemented
93#11719383C22116yescomplemented
94#11719381C22116yescomplemented
95#11719372C22116yescomplemented
96#11719371C22116yescomplemented
97#11719362C22116yescomplemented
98#11719359C22116yescomplemented
99#11719358C22116yescomplemented
100D13×#123C22116yescomplemented
101#11719352C22116yescomplemented
102#11719350C22116yescomplemented
103#11719335C22116yescomplemented
104#11719334C22116yescomplemented
105#11719295C22116yescomplemented
106#11719294C22116yescomplemented
107#11719269C22116yescomplemented
108#11719267C22116yescomplemented
109#11719255C22116yescomplemented
110D4×D52C22116yescomplemented
111#11719240C22116yescomplemented
112#11719235C22116yescomplemented
113#11719232C22116yescomplemented
114#11719229C22116yescomplemented
115C2×#88152C2211yescharacteristic, complemented
116C2×#88152C2211yescharacteristic, complemented
117C2×#88152C2211yescharacteristic, complemented
118C2×#88151C2211yescharacteristic, complemented
119C2×#88151C2211yescharacteristic, complemented
120C2×#88150C2211yescharacteristic, complemented
121C2×#88150C2211yescharacteristic, complemented
122C2×#88150C2211yescharacteristic, complemented
123C2×#88149C2211yescharacteristic, complemented
124C2×#88149C2211yescharacteristic, complemented
125C2×#88149C2211yescharacteristic, complemented
126C2×#88149C2211yescharacteristic, complemented
127C2×#88149C2211yescharacteristic, complemented
128C2×#88149C2211yescharacteristic, complemented
129C2×#88149C2211yescharacteristic, complemented
130C2×#88149C2211yescharacteristic, complemented
131C2×#88148C2211yescharacteristic, complemented
132C2×#88148C2211yescharacteristic, complemented
133C2×#88148C2211yescharacteristic, complemented
134C2×#88148C2211yescharacteristic, complemented
135C2×#88148C2211yescharacteristic, complemented
136C2×#88148C2211yescharacteristic, complemented
137C2×#88148C2211yescharacteristic, complemented
138C2×#88148C2211yescharacteristic, complemented
139C2×#88148C2211yescharacteristic, complemented
140C2×#88147C2211yescharacteristic, complemented
141C2×#88147C2211yescharacteristic, complemented
142C2×C4⋊C4×D13C2211yescharacteristic, complemented
143C2×C4⋊C4×D13C2211yescharacteristic, complemented
144C2×#88144C2211yescharacteristic, complemented
145C2×#88144C2211yescharacteristic, complemented
146C2×#88143C2211yescharacteristic, complemented
147#11719198C22116yescomplemented
148C2×#88140C2211yescharacteristic, complemented
149C2×#88140C2211yescharacteristic, complemented
150C2×#88140C2211yescharacteristic, complemented
151C2×#88140C2211yescharacteristic, complemented
152C2×#88140C2211yescharacteristic, complemented
153C2×#88139C2211yescharacteristic, complemented
154C2×#88139C2211yescharacteristic, complemented
155C2×#88139C2211yescharacteristic, complemented
156#11719195C22116yescomplemented
157#11719195C22116yescomplemented
158C2×#88138C2211yescharacteristic
159C2×#88138C22116yescomplemented
160C2×#88138C2211yescharacteristic, complemented
161C2×#88138C2211yescharacteristic, complemented
162C2×#88138C2211yescharacteristic, complemented
163C2×#88138C2211yescharacteristic, complemented
164C2×#88138C2211yescharacteristic, complemented
165C2×#88138C2211yescharacteristic, complemented
166C2×#88138C2211yescharacteristic, complemented
167C2×#88138C2211yescharacteristic, complemented
168C2×#88138C2211yescharacteristic, complemented
169C2×#88138C2211yescharacteristic, complemented
170C2×#88138C2211yescharacteristic, complemented
171C2×#88138C2211yescharacteristic, complemented
172C2×#88138C2211yescharacteristic, complemented
173C2×#88138C2211yescharacteristic, complemented
174C2×#88138C2211yescharacteristic, complemented
175C2×#88138C2211yescharacteristic, complemented
176C2×#88137C2211yescharacteristic, complemented
177C2×#88137C2211yescharacteristic, complemented
178C2×#88137C2211yescharacteristic, complemented
179C2×#88137C2211yescharacteristic, complemented
180C2×#88137C2211yescharacteristic, complemented
181C2×#88137C2211yescharacteristic, complemented
182C2×#88137C2211yescharacteristic, complemented
183C2×#88136C2211yescharacteristic
184C2×#88136C2211yescharacteristic, complemented
185C2×#88136C2211yescharacteristic, complemented
186C2×#88136C2211yescharacteristic, complemented
187C2×#88136C2211yescharacteristic, complemented
188C2×#88136C2211yescharacteristic, complemented
189C2×#88136C2211yescharacteristic, complemented
190C2×#88136C2211yescharacteristic, complemented
191C2×#88136C2211yescharacteristic, complemented
192C2×#88136C2211yescharacteristic, complemented
193C2×#88136C2211yescharacteristic, complemented
194C2×#88135C2211yescharacteristic, complemented
195C2×#88135C2211yescharacteristic, complemented
196C2×#88135C2211yescharacteristic, complemented
197C2×#88135C2211yescharacteristic, complemented
198C2×C22⋊C4×D13C2211yescharacteristic, complemented
199C2×C22⋊C4×D13C2211yescharacteristic, complemented
200C2×C22⋊C4×D13C2211yescharacteristic, complemented
201C2×C22⋊C4×D13C2211yescharacteristic, complemented
202C2×C22⋊C4×D13C2211yescharacteristic, complemented
203C2×C22⋊C4×D13C2211yescharacteristic, complemented
204C2×#88133C2211yescharacteristic, complemented
205C2×#88132C2211yescharacteristic, complemented
206C2×#88132C2211yescharacteristic, complemented
207C2×#88130C2211yescharacteristic, complemented
208C2×#88130C2211yescharacteristic, complemented
209C2×#88129C2211yescharacteristic, complemented
210C2×#88128C2211yescharacteristic, complemented
211C2×C4×D52C2211yescharacteristic, complemented
212C2×C4×D52C2211yescharacteristic, complemented
213C2×C4×D52C2211yescharacteristic, complemented
214C2×C4×D52C2211yescharacteristic, complemented
215C2×C4×D52C2211yescharacteristic, complemented
216C2×C4×D52C2211yescharacteristic, complemented
217C2×#88126C2211yescharacteristic, complemented
218C2×#88124C2211yescharacteristic, complemented
219C25×C13C2311yescharacteristic
220C24×D13C2311yescharacteristic
221C24×D13C2311yescharacteristic
222C24×D13C2311yescharacteristic
223C24×D13C2311yescharacteristic
224C24×D13C2311yescharacteristic
225C22×Q8×C13C2311yescharacteristic
226C22×D4×C13C2311yescharacteristic
227C22×D4×C13C2311yescharacteristic
228C22×D4×C13C2311yescharacteristic
229C23×C4×C13C2311yescharacteristic
230C23×C4×C13C2311yescharacteristic
231C23×C4×C13C2311yescharacteristic
232C23×C4×C13C2311yescharacteristic
233C23×C4×C13C2311yescharacteristic
234C22×C22⋊D13—44no—
235C22×C22⋊D13—44no—
236C22×C22⋊D13—44no—
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
254C22×C22⋊D13C2311yescharacteristic
255C22×C22⋊D13C2318yescomplemented
256C22×C22⋊D13C2318yescomplemented
257C22×C22⋊D13C2318yescomplemented
258C23×Dic13C2311yescharacteristic
259C23×Dic13C2311yescharacteristic
260C23×Dic13C2311yescharacteristic
261C2×#6131—44no—
262C2×#6131C2318yescomplemented
263C2×D4×D13—44no—
264C2×D4×D13—44no—
265C2×D4×D13—44no—
266C2×D4×D13C2318yes—
267C2×D4×D13C2318yescomplemented
268C2×D4×D13C2318yescomplemented
269C2×#6127—44no—
270C2×#6127—44no—
271C2×#6127C2318yescomplemented
272C2×#6127C2318yescomplemented
273C22×D52—44no—
274C22×D52—44no—
275C22×D52C2311yescharacteristic
276C22×D52C2311yescharacteristic
277C22×D52C2311yescharacteristic
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×D52C2318yescomplemented
292C22×D52C2318yescomplemented
293C22×C4×D13—44no—
294C22×C4×D13C2311yescharacteristic
295C22×C4×D13C2311yescharacteristic
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×D13C2318yescomplemented
310C22×Dic26C2311yescharacteristic
311C22×Dic26C2311yescharacteristic
312C13×#126C2318yescomplemented
313C13×#126C2318yescomplemented
314C13×#124C2318yescomplemented
315C13×#123C2318yescomplemented
316C13×#123C2318yescomplemented
317C13×#123C2318yescomplemented
318C13×C22⋊Q8C2318yescomplemented
319C13×C22⋊Q8C2318yescomplemented
320C13×#120C2318yes—
321C4×D4×C13C2318yescomplemented
322C4×D4×C13C2318yescomplemented
323C13×#117C2318yescomplemented
324C13×#117C2318yescomplemented
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×C13×C22⋊C4C2311yescharacteristic
346C2×C13×C22⋊C4C2311yescharacteristic
347C2×C13×C22⋊C4C2318yescomplemented
348C2×C13×C22⋊C4C2318yescomplemented
349C2×C42×C13C2311yescharacteristic
350C2×C42×C13C2311yescharacteristic
351C2×C42×C13C2311yescharacteristic
352#88207C2318yescomplemented
353C2×C22⋊Dic13C2311yescharacteristic
354C2×C22⋊Dic13C2311yescharacteristic
355C2×C22⋊Dic13C2311yescharacteristic
356C2×C22⋊Dic13C2311yescharacteristic
357C2×C22⋊Dic13C2311yescharacteristic
358C2×C22⋊Dic13C2311yescharacteristic
359#88201C2318yescomplemented
360#88200C2318yescomplemented
361#88200C2318yescomplemented
362#88194C2318yescomplemented
363#88193C2318yes—
364#88193C2318yescomplemented
365#88192C2318yescomplemented
366#88192C2318yescomplemented
367#88191C2318yescomplemented
368#88191C2318yescomplemented
369#88191C2318yescomplemented
370#88189C2318yescomplemented
371#88184C2318yes—
372#88184C2318yescomplemented
373#88184C2318yescomplemented
374#88184C2318yescomplemented
375#88184C2318yescomplemented
376#88184C2318yescomplemented
377#88184C2318yescomplemented
378#88183C2318yescomplemented
379#88183C2318yescomplemented
380#88183C2318yescomplemented
381C4×C22⋊D13C2318yescomplemented
382C4×C22⋊D13C2318yescomplemented
383C2×#6103C2311yescharacteristic
384C2×#6103C2311yescharacteristic
385C2×#6103C2311yescharacteristic
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×#6103C2311yescharacteristic
411C2×#6103C2311yescharacteristic
412C2×#6103C2311yescharacteristic
413C2×#6103C2318yescomplemented
414C2×C4⋊Dic13C2311yescharacteristic
415C2×C4⋊Dic13C2311yescharacteristic
416C2×C4⋊Dic13C2311yescharacteristic
417C2×C4⋊Dic13C2311yescharacteristic
418C2×C4⋊Dic13C2311yescharacteristic
419C2×C4⋊Dic13C2311yescharacteristic
420C2×C4⋊Dic13C2311yescharacteristic
421C2×C4⋊Dic13C2311yescharacteristic
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×#6101C2318yescomplemented
438C2×C4×Dic13C2311yescharacteristic
439C2×C4×Dic13C2311yescharacteristic
440C2×C4×Dic13C2311yescharacteristic
441#88152C2318yescomplemented
442#88152C2318yescomplemented
443#88152C2318yescomplemented
444#88151C2318yescomplemented
445#88151C2318yescomplemented
446#88150C2318yescomplemented
447#88150C2318yescomplemented
448#88150C2318yescomplemented
449#88149C2318yescomplemented
450#88149C2318yescomplemented
451#88149C2318yescomplemented
452#88149C2318yescomplemented
453#88149C2318yescomplemented
454#88149C2318yescomplemented
455#88149C2318yescomplemented
456#88149C2318yescomplemented
457#88148C2318yescomplemented
458#88148C2318yescomplemented
459#88148C2318yescomplemented
460#88148C2318yescomplemented
461#88148C2318yescomplemented
462#88148C2318yescomplemented
463#88148C2318yescomplemented
464#88148C2318yescomplemented
465#88148C2318yescomplemented
466#88147C2318yescomplemented
467#88147C2318yescomplemented
468C4⋊C4×D13C2318yescomplemented
469C4⋊C4×D13C2318yescomplemented
470#88144C2318yescomplemented
471#88144C2318yescomplemented
472#88143C2318yescomplemented
473#88140C2318yescomplemented
474#88140C2318yescomplemented
475#88140C2318yescomplemented
476#88140C2318yescomplemented
477#88140C2318yescomplemented
478#88139C2318yescomplemented
479#88139C2318yescomplemented
480#88139C2318yescomplemented
481#88138C2318yes—
482#88138C2318yescomplemented
483#88138C2318yescomplemented
484#88138C2318yescomplemented
485#88138C2318yescomplemented
486#88138C2318yescomplemented
487#88138C2318yescomplemented
488#88138C2318yescomplemented
489#88138C2318yescomplemented
490#88138C2318yescomplemented
491#88138C2318yescomplemented
492#88138C2318yescomplemented
493#88138C2318yescomplemented
494#88138C2318yescomplemented
495#88138C2318yescomplemented
496#88138C2318yescomplemented
497#88138C2318yescomplemented
498#88137C2318yescomplemented
499#88137C2318yescomplemented
500#88137C2318yescomplemented
501#88137C2318yescomplemented
502#88137C2318yescomplemented
503#88137C2318yescomplemented
504#88137C2318yescomplemented
505#88136C2318yes—
506#88136C2318yescomplemented
507#88136C2318yescomplemented
508#88136C2318yescomplemented
509#88136C2318yescomplemented
510#88136C2318yescomplemented
511#88136C2318yescomplemented
512#88136C2318yescomplemented
513#88136C2318yescomplemented
514#88136C2318yescomplemented
515#88136C2318yescomplemented
516#88135C2318yescomplemented
517#88135C2318yescomplemented
518#88135C2318yescomplemented
519#88135C2318yescomplemented
520C22⋊C4×D13C2318yescomplemented
521C22⋊C4×D13C2318yescomplemented
522C22⋊C4×D13C2318yescomplemented
523C22⋊C4×D13C2318yescomplemented
524C22⋊C4×D13C2318yescomplemented
525C22⋊C4×D13C2318yescomplemented
526#88133C2318yescomplemented
527#88132C2318yescomplemented
528#88132C2318yescomplemented
529#88130C2318yescomplemented
530#88130C2318yescomplemented
531#88129C2318yescomplemented
532#88128C2318yescomplemented
533C4×D52C2318yescomplemented
534C4×D52C2318yescomplemented
535C4×D52C2318yescomplemented
536C4×D52C2318yescomplemented
537C4×D52C2318yescomplemented
538C4×D52C2318yescomplemented
539#88126C2318yescomplemented
540#88124C2318yescomplemented
541C2×#3534—131nomaximal, Sylow
542C24×C13—24no—
543C24×C13—42no—
544C24×C13—42no—
545C24×C13C2411yescharacteristic
546C24×C13C2411yescharacteristic
547C24×C13C2411yescharacteristic
548C24×C13C2411yescharacteristic
549C24×C13C2414yes—
550C23×D13—24no—
551C23×D13—24no—
552C23×D13—24no—
553C23×D13—24no—
554C23×D13—42no—
555C23×D13—42no—
556C23×D13—42no—
557C23×D13—42no—
558C23×D13—42no—
559C23×D13—42no—
560C23×D13—42no—
561C23×D13—42no—
562C23×D13—42no—
563C23×D13—42no—
564C23×D13—42no—
565C23×D13C2411yescharacteristic
566C23×D13C2411yescharacteristic
567C23×D13C2411yescharacteristic
568C23×D13C2411yescharacteristic
569C23×D13C2411yescharacteristic
570C23×D13C2411yescharacteristic
571C23×D13C2414yes—
572C23×D13C2411yescharacteristic
573C23×D13C2414yes—
574C23×D13C2414yes—
575C23×D13C2414yes—
576C23×D13C2414yes—
577C2×Q8×C13—42no—
578C2×Q8×C13C2414yes—
579C2×D4×C13—24no—
580C2×D4×C13—42no—
581C2×D4×C13—42no—
582C2×D4×C13C2414yes—
583C2×D4×C13C2414yes—
584C2×D4×C13C2414yes—
585C22×C4×C13—24no—
586C22×C4×C13—42no—
587C22×C4×C13—42no—
588C22×C4×C13—42no—
589C22×C4×C13—42no—
590C22×C4×C13C2411yescharacteristic
591C22×C4×C13C2411yescharacteristic
592C22×C4×C13C2411yescharacteristic
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×C13C2414yes—
602C22×C4×C13C2414yes—
603C22×C4×C13C2414yes—
604C22×C4×C13C2414yes—
605C22×C4×C13C2414yes—
606C2×C22⋊D13—24no—
607C2×C22⋊D13—24no—
608C2×C22⋊D13—24no—
609C2×C22⋊D13—24no—
610C2×C22⋊D13—24no—
611C2×C22⋊D13—42no—
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—416no—
624C2×C22⋊D13—42no—
625C2×C22⋊D13—416no—
626C2×C22⋊D13—416no—
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—
644C2×C22⋊D13C2414yes—
645C22×Dic13—24no—
646C22×Dic13—42no—
647C22×Dic13—42no—
648C22×Dic13C2414yes—
649C22×Dic13C2411yescharacteristic
650C22×Dic13C2411yescharacteristic
651C22×Dic13C2411yescharacteristic
652C22×Dic13C2411yescharacteristic
653C22×Dic13C2411yescharacteristic
654C22×Dic13C2411yescharacteristic
655C22×Dic13C2411yescharacteristic
656C22×Dic13C2411yescharacteristic
657C22×Dic13C2411yescharacteristic
658C22×Dic13C2414yes—
659C22×Dic13C2414yes—
660#6131—416no—
661D4×D13—416no—
662D4×D13—416no—
663D4×D13—416no—
664#6127—416no—
665#6127—416no—
666C2×D52—24no—
667C2×D52—24no—
668C2×D52—24no—
669C2×D52—24no—
670C2×D52—416no—
671C2×D52—416no—
672C2×D52—42no—
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×D52C2414yes—
685C2×D52C2414yes—
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×C4×D13—24no—
701C2×C4×D13—42no—
702C2×C4×D13—42no—
703C2×C4×D13—42no—
704C2×C4×D13—42no—
705C2×C4×D13—416no—
706C2×C4×D13—42no—
707C2×C4×D13—42no—
708C2×C4×D13—42no—
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×D13C2414yes—
717C2×C4×D13C2414yes—
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×Dic26—42no—
732C2×Dic26—42no—
733C2×Dic26C2414yes—
734C2×Dic26C2414yes—
735C13×C4⋊C4C2414yes—
736C13×C4⋊C4C2414yes—
737C13×C4⋊C4C2414yes—
738C13×C4⋊C4C2414yes—
739C13×C4⋊C4C2414yes—
740C13×C4⋊C4C2414yes—
741C13×C4⋊C4C2414yes—
742C13×C4⋊C4C2414yes—
743C13×C22⋊C4C2414yes—
744C13×C22⋊C4C2414yes—
745C13×C22⋊C4C2414yes—
746C13×C22⋊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—
757C42×C13C2414yes—
758C42×C13C2414yes—
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—
800C4⋊Dic13C2414yes—
801C4⋊Dic13C2414yes—
802C4⋊Dic13C2414yes—
803C4⋊Dic13C2414yes—
804#6101C2414yes—
805#6101C2414yes—
806#6101C2414yes—
807#6101C2414yes—
808#6101C2414yes—
809#6101C2414yes—
810#6101C2414yes—
811#6101C2414yes—
812#6101C2414yes—
813#6101C2414yes—
814#6101C2414yes—
815#6101C2414yes—
816#6101C2414yes—
817#6101C2414yes—
818C4×Dic13C2414yes—
819C4×Dic13C2414yes—
820C4×Dic13C2414yes—
821#3534—1332no—
822C2×#562—131no—
823C2×#562—131no—
824C2×#560—131no—
825C2×#560—131no—
826C2×#553—131no—
827C2×#553—131no—
828C2×#551—131no—
829C2×#551D1311yescharacteristic, complemented
830C2×#546—131no—
831C2×#546—131no—
832C2×#546—131no—
833C2×#546—131no—
834C2×#546—131no—
835C2×#546—131no—
836C2×D42—131no—
837C2×D42—131no—
838C2×#540—131no—
839C2×#540—131no—
840C2×#539—131no—
841C2×#539—131no—
842C2×#539—131no—
843C2×#538—131no—
844C2×#538—131no—
845C2×#538—131no—
846C2×#537—131no—
847C2×#534—131no—
848C2×#534—131no—
849C2×#534—131no—
850C2×#525—131no—
851C22×#123—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—28no—
865C23×C13—44no—
866C23×C13—44no—
867C23×C13—88no—
868C23×C13H(5,𝔽2)14yes—
869C23×C13C2512yes—
870C23×C13C2512yes—
871C23×C13C2512yes—
872C23×C13C2512yes—
873C23×C13C2511yescharacteristic
874C22×D13—22no—
875C22×D13—22no—
876C22×D13—22no—
877C22×D13—28no—
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—22no—
891C22×D13—22no—
892C22×D13—22no—
893C22×D13—22no—
894C22×D13—22no—
895C22×D13—28no—
896C22×D13—28no—
897C22×D13—28no—
898C22×D13—44no—
899C22×D13—44no—
900C22×D13—44no—
901C22×D13—44no—
902C22×D13—44no—
903C22×D13—44no—
904C22×D13—44no—
905C22×D13—44no—
906C22×D13—44no—
907C22×D13—44no—
908C22×D13—44no—
909C22×D13—416no—
910C22×D13—88no—
911C22×D13—88no—
912C22×D13—88no—
913C22×D13—88no—
914C22×D13H(5,𝔽2)14yes—
915C22×D13C2512yes—
916C22×D13C2512yes—
917C22×D13C2512yes—
918C22×D13C2512yes—
919C22×D13C2512yes—
920C22×D13C2512yes—
921C22×D13C2512yes—
922Q8×C13—44no—
923D4×C13—28no—
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—28no—
933C2×C4×C13—22no—
934C2×C4×C13—22no—
935C2×C4×C13—22no—
936C2×C4×C13—22no—
937C2×C4×C13—22no—
938C2×C4×C13—44no—
939C2×C4×C13—44no—
940C2×C4×C13—44no—
941C2×C4×C13—44no—
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—
952C2×C4×C13C2512yes—
953C22⋊D13—28no—
954C22⋊D13—28no—
955C22⋊D13—28no—
956C22⋊D13—28no—
957C22⋊D13—28no—
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—
970C22⋊D13—44no—
971C2×Dic13—22no—
972C2×Dic13—22no—
973C2×Dic13—22no—
974C2×Dic13—22no—
975C2×Dic13—28no—
976C2×Dic13—22no—
977C2×Dic13—22no—
978C2×Dic13—22no—
979C2×Dic13—22no—
980C2×Dic13—22no—
981C2×Dic13—44no—
982C2×Dic13—44no—
983C2×Dic13C2512yes—
984C2×Dic13C2512yes—
985C2×Dic13C2512yes—
986C2×Dic13C2512yes—
987C2×Dic13C2512yes—
988C2×Dic13C2512yes—
989C2×Dic13C2512yes—
990C2×Dic13C2512yes—
991C2×Dic13C2512yes—
992D52—28no—
993D52—28no—
994D52—28no—
995D52—28no—
996D52—44no—
997D52—44no—
998D52—44no—
999D52—44no—
1000D52—44no—
1001D52—44no—
1002D52—44no—
1003D52—44no—
1004D52—44no—
1005D52—44no—
1006D52—44no—
1007D52—44no—
1008C4×D13—28no—
1009C4×D13—44no—
1010C4×D13—44no—
1011C4×D13—44no—
1012C4×D13—44no—
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—
1022C4×D13—44no—
1023Dic26—44no—
1024Dic26—44no—
1025C22×#41—131no—
1026C22×#41—131no—
1027C22×#41—131no—
1028C23×D4—131no—
1029C23×D4—131no—
1030C23×D4—131no—
1031C23×D4—131no—
1032C23×D4—131no—
1033C23×D4—131no—
1034C23×D4—131no—
1035C23×D4—131no—
1036C24×C4—131no—
1037#562—1316no—
1038#562—1316no—
1039#560—1316no—
1040#560—1316no—
1041#553—1316no—
1042#553—1316no—
1043#551—1316no—
1044#551C2×D13116yescomplemented
1045#546—1316no—
1046#546—1316no—
1047#546—1316no—
1048#546—1316no—
1049#546—1316no—
1050#546—1316no—
1051D42—1316no—
1052D42—1316no—
1053#540—1316no—
1054#540—1316no—
1055#539—1316no—
1056#539—1316no—
1057#539—1316no—
1058#538—1316no—
1059#538—1316no—
1060#538—1316no—
1061#537—1316no—
1062#534—1316no—
1063#534—1316no—
1064#534—1316no—
1065C2×#127—131no—
1066C2×#127—131no—
1067C2×#126—131no—
1068C2×#126—131no—
1069C2×#126—131no—
1070C2×#126—131no—
1071C2×#126—131no—
1072C2×#126—131no—
1073C2×#126C2×D1311yescharacteristic, complemented
1074C2×#126C2×D1311yescharacteristic, complemented
1075C2×#125—131no—
1076C2×#125—131no—
1077C2×#125—131no—
1078C2×#125—131no—
1079C2×#124—131no—
1080C2×#124—131no—
1081C2×#124—131no—
1082C2×#124—131no—
1083C2×#124—131no—
1084C2×#124C2×D1311yescharacteristic, complemented
1085#525—1316no—
1086C2×#123—131no—
1087C2×#123—131no—
1088C2×#123—131no—
1089C2×#123—131no—
1090C2×#123—1316no—
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×#123—131no—
1109C2×#123—131no—
1110C2×#123—131no—
1111C2×#123—131no—
1112C2×#123C2×D1311yescharacteristic, complemented
1113C2×#123C2×D1311yescharacteristic, complemented
1114C2×#123C2×D1311yescharacteristic, complemented
1115C2×C22⋊Q8—131no—
1116C2×C22⋊Q8—131no—
1117C2×C22⋊Q8—131no—
1118C2×C22⋊Q8—131no—
1119C2×C22⋊Q8—131no—
1120C2×C22⋊Q8—131no—
1121C2×C22⋊Q8—131no—
1122C2×C22⋊Q8—131no—
1123C2×C22⋊Q8—131no—
1124C2×C22⋊Q8—131no—
1125C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1126C2×C22⋊Q8C2×D1311yescharacteristic, complemented
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—131no—
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×#121—131no—
1160C2×#121—131no—
1161C2×#121—131no—
1162C2×#121—131no—
1163C2×#121—1316no—
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×#120C2×D1311yescharacteristic
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×D4C2×D1311yescharacteristic, complemented
1195C2×C4×D4C2×D1311yescharacteristic, complemented
1196C2×#117—131no—
1197C2×#117C2×D1311yescharacteristic, complemented
1198C2×#117C2×D1311yescharacteristic, complemented
1199C22×C4⋊C4—131no—
1200C22×C4⋊C4—131no—
1201C22×C4⋊C4—131no—
1202C22×C22⋊C4—131no—
1203C22×C22⋊C4—131no—
1204C22×C22⋊C4—131no—
1205C22×C22⋊C4—131no—
1206C22×C22⋊C4—131no—
1207C22×C22⋊C4—131no—
1208C22×C22⋊C4—131no—
1209C22×C22⋊C4C2×D1311yescharacteristic, complemented
1210C22×C22⋊C4C2×D1311yescharacteristic, complemented
1211C22×C13—22no—
1212C22×C13—22no—
1213C22×C13—28no—
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—22no—
1223C22×C13—44no—
1224C22×C13—44no—
1225C22×C13—44no—
1226C22×C13—88no—
1227C22×C13C2×H(5,𝔽2)14yes—
1228C22×C13C2×H(5,𝔽2)12yes—
1229C22×C13C2×H(5,𝔽2)12yes—
1230C22×C13#58512yes—
1231C22×C13C2611yescharacteristic
1232C2×D13—22no—
1233C2×D13—22no—
1234C2×D13—28no—
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—22no—
1252C2×D13—22no—
1253C2×D13—416no—
1254C2×D13—44no—
1255C2×D13—44no—
1256C2×D13—44no—
1257C2×D13—44no—
1258C2×D13—44no—
1259C2×D13—44no—
1260C2×D13—88no—
1261C2×D13—88no—
1262C2×D13—88no—
1263C2×D13—88no—
1264C2×D13C2×H(5,𝔽2)14yes—
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—
1274C4×C13—22no—
1275C4×C13—22no—
1276Dic13—22no—
1277Dic13—22no—
1278Dic13—22no—
1279Dic13—22no—
1280Dic13—22no—
1281Dic13—22no—
1282Dic13—22no—
1283Dic13—22no—
1284Dic13—22no—
1285C25—131no—
1286C25—131no—
1287C25—131no—
1288C25—131no—
1289C25—131no—
1290C25C22×D1311yescharacteristic
1291C2×#41—138no—
1292C2×#41—138no—
1293C2×#41—138no—
1294C2×#41—524no—
1295C2×#41—524no—
1296C2×#41—524no—
1297C22×Q8—131no—
1298C22×Q8—131no—
1299C22×Q8C22×D1311yescharacteristic
1300C22×D4—131no—
1301C22×D4—131no—
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—138no—
1319C22×D4—138no—
1320C22×D4—138no—
1321C22×D4—138no—
1322C22×D4—138no—
1323C22×D4—138no—
1324C22×D4—131no—
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—138no—
1341C22×D4—138no—
1342C22×D4—524no—
1343C22×D4—524no—
1344C22×D4—524no—
1345C22×D4—524no—
1346C22×D4—524no—
1347C22×D4—524no—
1348C22×D4—524no—
1349C22×D4—524no—
1350C22×D4C22×D1311yescharacteristic
1351C22×D4C22×D1311yescharacteristic
1352C22×D4C22×D1311yescharacteristic
1353C23×C4—131no—
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—138no—
1372C23×C4—524no—
1373C23×C4C22×D1311yescharacteristic
1374C23×C4C22×D1311yescharacteristic
1375C23×C4C22×D1311yescharacteristic
1376C23×C4C22×D1311yescharacteristic
1377C23×C4C22×D1311yescharacteristic
1378#127—138no—
1379#127—138no—
1380#126—138no—
1381#126—138no—
1382#126—138no—
1383#126—138no—
1384#126—138no—
1385#126—138no—
1386#126C22×D1318yescomplemented
1387#126C22×D1318yescomplemented
1388#125—138no—
1389#125—138no—
1390#125—138no—
1391#125—138no—
1392#124—138no—
1393#124—138no—
1394#124—138no—
1395#124—138no—
1396#124—138no—
1397#124C22×D1318yescomplemented
1398#123—138no—
1399#123—138no—
1400#123—138no—
1401#123—138no—
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#123—138no—
1421#123—138no—
1422#123—138no—
1423#123C22×D1318yescomplemented
1424#123C22×D1318yescomplemented
1425#123C22×D1318yescomplemented
1426C22⋊Q8—138no—
1427C22⋊Q8—138no—
1428C22⋊Q8—138no—
1429C22⋊Q8—138no—
1430C22⋊Q8—138no—
1431C22⋊Q8—138no—
1432C22⋊Q8—138no—
1433C22⋊Q8—138no—
1434C22⋊Q8—138no—
1435C22⋊Q8—138no—
1436C22⋊Q8C22×D1318yescomplemented
1437C22⋊Q8C22×D1318yescomplemented
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#121—138no—
1471#121—138no—
1472#121—138no—
1473#121—138no—
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#120C22×D1318yes—
1490C4×D4—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×D4C22×D1318yescomplemented
1505C4×D4C22×D1318yescomplemented
1506#117—138no—
1507#117C22×D1318yescomplemented
1508#117C22×D1318yescomplemented
1509C2×C4⋊C4—131no—
1510C2×C4⋊C4—131no—
1511C2×C4⋊C4—131no—
1512C2×C4⋊C4—131no—
1513C2×C4⋊C4—131no—
1514C2×C4⋊C4—138no—
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—131no—
1532C2×C4⋊C4—138no—
1533C2×C4⋊C4—138no—
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×C22⋊C4—131no—
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—131no—
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—138no—
1580C2×C22⋊C4—138no—
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×C22⋊C4C22×D1311yescharacteristic
1598C2×C22⋊C4C22×D1311yescharacteristic
1599C2×C22⋊C4C22×D1318yescomplemented
1600C2×C22⋊C4C22×D1318yescomplemented
1601C2×C42—131no—
1602C2×C42—131no—
1603C2×C42—131no—
1604C2×C42C22×D1311yescharacteristic
1605C2×C42C22×D1311yescharacteristic
1606C2×C42C22×D1311yescharacteristic
1607C2×C13—24no—
1608C2×C13—42no—
1609C2×C13—42no—
1610C2×C13—42no—
1611C2×C13#353414yescomplemented
1612C2×C13C22×H(5,𝔽2)11yescharacteristic
1613C2×C13C22×H(5,𝔽2)11yescharacteristic
1614C2×C13C2×#58511yescharacteristic
1615D13—24no—
1616D13—42no—
1617D13—42no—
1618D13—42no—
1619D13—42no—
1620D13—42no—
1621D13—42no—
1622C24—24no—
1623C24—42no—
1624C24—42no—
1625C24—131no—
1626C24—131no—
1627C24—131no—
1628C24—131no—
1629C24—131no—
1630C24—131no—
1631C24—131no—
1632C24—134no—
1633C24—134no—
1634C24—134no—
1635C24—134no—
1636C24—134no—
1637C24—264no—
1638C24—264no—
1639C24—264no—
1640C24—264no—
1641C24—522no—
1642C24—522no—
1643C24—522no—
1644C24—522no—
1645C24—522no—
1646C24—522no—
1647C24—522no—
1648C24—522no—
1649C24—522no—
1650C24—522no—
1651C24—522no—
1652C24C23×D1311yescharacteristic
1653C24C23×D1311yescharacteristic
1654C24C23×D1311yescharacteristic
1655C24C23×D1311yescharacteristic
1656C24C23×D1314yes—
1657#41—5216no—
1658#41—5216no—
1659#41—5216no—
1660C2×Q8—42no—
1661C2×Q8—134no—
1662C2×Q8—134no—
1663C2×Q8—522no—
1664C2×Q8—522no—
1665C2×Q8C23×D1314yes—
1666C2×D4—24no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—134no—
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—264no—
1704C2×D4—264no—
1705C2×D4—264no—
1706C2×D4—264no—
1707C2×D4—264no—
1708C2×D4—264no—
1709C2×D4—264no—
1710C2×D4—264no—
1711C2×D4—264no—
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—522no—
1727C2×D4—522no—
1728C2×D4—522no—
1729C2×D4—522no—
1730C2×D4—5216no—
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—5216no—
1741C2×D4—5216no—
1742C2×D4—5216no—
1743C2×D4—5216no—
1744C2×D4—5216no—
1745C2×D4C23×D1314yes—
1746C2×D4C23×D1314yes—
1747C2×D4C23×D1314yes—
1748C22×C4—24no—
1749C22×C4—42no—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—134no—
1754C22×C4—131no—
1755C22×C4—131no—
1756C22×C4—131no—
1757C22×C4—131no—
1758C22×C4—131no—
1759C22×C4—131no—
1760C22×C4—131no—
1761C22×C4—131no—
1762C22×C4—131no—
1763C22×C4—134no—
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—264no—
1781C22×C4—264no—
1782C22×C4—522no—
1783C22×C4—522no—
1784C22×C4—522no—
1785C22×C4—522no—
1786C22×C4—5216no—
1787C22×C4—522no—
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—522no—
1798C22×C4—522no—
1799C22×C4C23×D1314yes—
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⋊C4—134no—
1834C4⋊C4—134no—
1835C4⋊C4—134no—
1836C4⋊C4—134no—
1837C4⋊C4C23×D1314yes—
1838C4⋊C4C23×D1314yes—
1839C4⋊C4C23×D1314yes—
1840C4⋊C4C23×D1314yes—
1841C4⋊C4C23×D1314yes—
1842C4⋊C4C23×D1314yes—
1843C4⋊C4C23×D1314yes—
1844C4⋊C4C23×D1314yes—
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⋊C4—134no—
1880C22⋊C4—134no—
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—
1891C22⋊C4C23×D1314yes—
1892C22⋊C4C23×D1314yes—
1893C22⋊C4C23×D1314yes—
1894C22⋊C4C23×D1314yes—
1895C42—134no—
1896C42—134no—
1897C42—134no—
1898C42C23×D1314yes—
1899C42C23×D1314yes—
1900C42C23×D1314yes—
1901C13C2×#353411yescharacteristic, complemented, Sylow
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—28no—
1914C23—44no—
1915C23—44no—
1916C23—88no—
1917C23—134no—
1918C23—132no—
1919C23—132no—
1920C23—132no—
1921C23—132no—
1922C23—132no—
1923C23—132no—
1924C23—132no—
1925C23—268no—
1926C23—268no—
1927C23—262no—
1928C23—262no—
1929C23—268no—
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—262no—
1944C23—262no—
1945C23—262no—
1946C23—262no—
1947C23—262no—
1948C23—268no—
1949C23—524no—
1950C23—524no—
1951C23—524no—
1952C23—524no—
1953C23—524no—
1954C23—524no—
1955C23—524no—
1956C23—524no—
1957C23—524no—
1958C23—524no—
1959C23—524no—
1960C23—5216no—
1961C23—1048no—
1962C23—1048no—
1963C23—1048no—
1964C23—1048no—
1965C23#8825614yes—
1966C23C24×D1312yes—
1967C23C24×D1312yes—
1968C23C24×D1312yes—
1969C23C24×D1312yes—
1970C23C24×D1311yescharacteristic
1971Q8—44no—
1972Q8—524no—
1973Q8—524no—
1974D4—28no—
1975D4—44no—
1976D4—44no—
1977D4—268no—
1978D4—268no—
1979D4—268no—
1980D4—268no—
1981D4—268no—
1982D4—268no—
1983D4—268no—
1984D4—268no—
1985D4—268no—
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—
2009D4—524no—
2010D4—524no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—28no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—44no—
2024C2×C4—44no—
2025C2×C4—44no—
2026C2×C4—44no—
2027C2×C4—132no—
2028C2×C4—132no—
2029C2×C4—132no—
2030C2×C4—132no—
2031C2×C4—132no—
2032C2×C4—132no—
2033C2×C4—132no—
2034C2×C4—132no—
2035C2×C4—132no—
2036C2×C4—268no—
2037C2×C4—268no—
2038C2×C4—262no—
2039C2×C4—262no—
2040C2×C4—262no—
2041C2×C4—262no—
2042C2×C4—262no—
2043C2×C4—262no—
2044C2×C4—262no—
2045C2×C4—262no—
2046C2×C4—262no—
2047C2×C4—524no—
2048C2×C4—524no—
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×C4—524no—
2061C2×C4—524no—
2062C2×C4—524no—
2063C2×C4C24×D1312yes—
2064C2×C4C24×D1312yes—
2065C2×C4C24×D1312yes—
2066C2×C4C24×D1312yes—
2067C2×C4C24×D1312yes—
2068C2×C4C24×D1312yes—
2069C2×C4C24×D1312yes—
2070C2×C4C24×D1312yes—
2071C2×C4C24×D1312yes—
2072C2×C4C24×D1312yes—
2073C2×C4C24×D1312yes—
2074C22—28no—
2075C22—22no—
2076C22—22no—
2077C22—22no—
2078C22—22no—
2079C22—22no—
2080C22—22no—
2081C22—22no—
2082C22—22no—
2083C22—22no—
2084C22—22no—
2085C22—22no—
2086C22—44no—
2087C22—44no—
2088C22—44no—
2089C22—88no—
2090C22—134no—
2091C22—268no—
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—262no—
2110C22—262no—
2111C22—262no—
2112C22—5216no—
2113C22—524no—
2114C22—524no—
2115C22—524no—
2116C22—524no—
2117C22—524no—
2118C22—524no—
2119C22—1048no—
2120C22—1048no—
2121C22—1048no—
2122C22—1048no—
2123C22C2×#8825614yes—
2124C22C2×#8825612yes—
2125C22#1171964812yes—
2126C22D13×H(5,𝔽2)12yes—
2127C22C25×D1311yescharacteristic
2128C4—22no—
2129C4—22no—
2130C4—22no—
2131C4—22no—
2132C4—22no—
2133C4—22no—
2134C4—22no—
2135C4—22no—
2136C4—22no—
2137C4—22no—
2138C4—22no—
2139C4—262no—
2140C4—262no—
2141C4—262no—
2142C4—262no—
2143C4—262no—
2144C4—262no—
2145C4—262no—
2146C4—262no—
2147C4—262no—
2148C2—24no—
2149C2—42no—
2150C2—42no—
2151C2—42no—
2152C2—264no—
2153C2—522no—
2154C2—522no—
2155C2—522no—
2156C2—522no—
2157C2—522no—
2158C2—522no—
2159C2#1312902914yesdirect product factor
2160C2C2×D13×H(5,𝔽2)11yescharacteristic
2161C2C22×#8825611yescharacteristic
2162C2C2×#1171964811yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#551C2
socleC23×C13C25
hypercenterC2×#551D13
hypocenterC13C2×#3534
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#551

Complements

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

NH ≅ G/Ntype
1. #13129029C2direct (N × H)
2. C2×#11719372C2semidirect
3. C2×#11719352C2semidirect
4. C2×#11719416C2semidirect
5. C2×#11719371C2semidirect
6. C2×#11719414C2semidirect
7. C2×#11719235C2semidirect
8. C2×#11719232C2semidirect
9. C2×#11719255C2semidirect
10. C2×#11719381C2semidirect
11. C2×#11719359C2semidirect
12. C2×#11719335C2semidirect
13. C2×#11719195C2semidirect
14. C2×#11719195C2semidirect
15. C2×D4×D52C2semidirect
16. C2×#11719295C2semidirect
17. C2×#11719240C2semidirect
18. C2×#11719267C2semidirect
19. C2×#11719350C2semidirect
20. C2×#11719269C2semidirect
21. C2×#11719412C2semidirect
22. C2×#11719409C2semidirect
23. C2×#11719362C2semidirect
24. C2×#11719383C2semidirect
25. C2×#11719334C2semidirect
26. C2×#11719198C2semidirect
27. C2×#11719358C2semidirect
28. C2×#11719294C2semidirect
29. C2×#11719229C2semidirect
30. C2×D13×#123C2semidirect
31. C22×#88138C2semidirect
32. C2×C13×#551C2semidirect
33. C23×C22⋊D13C22semidirect
34. C23×C22⋊D13C22semidirect
35. C23×C22⋊D13C22semidirect
36. C22×#6131C22semidirect
38. C22×D4×D13C22semidirect
39. C22×D4×D13C22semidirect
40. C22×#6127C22semidirect
41. C22×#6127C22semidirect
42. C23×D52C22semidirect
43. C23×D52C22semidirect
44. C23×C4×D13C22semidirect
45. C13×#551C22semidirect
46. C2×C13×#126C22semidirect
47. C2×C13×#126C22semidirect
48. C2×C13×#124C22semidirect
49. C2×C13×#123C22semidirect
50. C2×C13×#123C22semidirect
51. C2×C13×#123C22semidirect
52. C2×C13×C22⋊Q8C22semidirect
53. C2×C13×C22⋊Q8C22semidirect
55. C2×C4×D4×C13C22semidirect
56. C2×C4×D4×C13C22semidirect
57. C2×C13×#117C22semidirect
58. C2×C13×#117C22semidirect
59. C22×C13×C22⋊C4C22semidirect
60. C22×C13×C22⋊C4C22semidirect
61. C2×#88207C22semidirect
62. C2×#88201C22semidirect
63. C2×#88200C22semidirect
64. C2×#88200C22semidirect
65. C2×#88194C22semidirect
67. C2×#88193C22semidirect
68. C2×#88192C22semidirect
69. C2×#88192C22semidirect
70. C2×#88191C22semidirect
71. C2×#88191C22semidirect
72. C2×#88191C22semidirect
73. C2×#88189C22semidirect
75. C2×#88184C22semidirect
76. C2×#88184C22semidirect
77. C2×#88184C22semidirect
78. C2×#88184C22semidirect
79. C2×#88184C22semidirect
80. C2×#88184C22semidirect
81. C2×#88183C22semidirect
82. C2×#88183C22semidirect
83. C2×#88183C22semidirect
84. C2×C4×C22⋊D13C22semidirect
85. C2×C4×C22⋊D13C22semidirect
86. C22×#6103C22semidirect
87. C2×#88178C22semidirect
88. C22×#6101C22semidirect
89. #11719416C22semidirect
90. #11719414C22semidirect
91. #11719412C22semidirect
92. #11719409C22semidirect
93. #11719383C22semidirect
94. #11719381C22semidirect
95. #11719372C22semidirect
96. #11719371C22semidirect
97. #11719362C22semidirect
98. #11719359C22semidirect
99. #11719358C22semidirect
100. D13×#123C22semidirect
101. #11719352C22semidirect
102. #11719350C22semidirect
103. #11719335C22semidirect
104. #11719334C22semidirect
105. #11719295C22semidirect
106. #11719294C22semidirect
107. #11719269C22semidirect
108. #11719267C22semidirect
109. #11719255C22semidirect
110. D4×D52C22semidirect
111. #11719240C22semidirect
112. #11719235C22semidirect
113. #11719232C22semidirect
114. #11719229C22semidirect
115. C2×#88152C22semidirect
116. C2×#88152C22semidirect
117. C2×#88152C22semidirect
118. C2×#88151C22semidirect
119. C2×#88151C22semidirect
120. C2×#88150C22semidirect
121. C2×#88150C22semidirect
122. C2×#88150C22semidirect
123. C2×#88149C22semidirect
124. C2×#88149C22semidirect
125. C2×#88149C22semidirect
126. C2×#88149C22semidirect
127. C2×#88149C22semidirect
128. C2×#88149C22semidirect
129. C2×#88149C22semidirect
130. C2×#88149C22semidirect
131. C2×#88148C22semidirect
132. C2×#88148C22semidirect
133. C2×#88148C22semidirect
134. C2×#88148C22semidirect
135. C2×#88148C22semidirect
136. C2×#88148C22semidirect
137. C2×#88148C22semidirect
138. C2×#88148C22semidirect
139. C2×#88148C22semidirect
140. C2×#88147C22semidirect
141. C2×#88147C22semidirect
142. C2×C4⋊C4×D13C22semidirect
143. C2×C4⋊C4×D13C22semidirect
144. C2×#88144C22semidirect
145. C2×#88144C22semidirect
146. C2×#88143C22semidirect
147. #11719198C22semidirect
148. C2×#88140C22semidirect
149. C2×#88140C22semidirect
150. C2×#88140C22semidirect
151. C2×#88140C22semidirect
152. C2×#88140C22semidirect
153. C2×#88139C22semidirect
154. C2×#88139C22semidirect
155. C2×#88139C22semidirect
156. #11719195C22semidirect
157. #11719195C22semidirect
159. C2×#88138C22semidirect
160. C2×#88138C22semidirect
161. C2×#88138C22semidirect
162. C2×#88138C22semidirect
163. C2×#88138C22semidirect
164. C2×#88138C22semidirect
165. C2×#88138C22semidirect
166. C2×#88138C22semidirect
167. C2×#88138C22semidirect
168. C2×#88138C22semidirect
169. C2×#88138C22semidirect
170. C2×#88138C22semidirect
171. C2×#88138C22semidirect
172. C2×#88138C22semidirect
173. C2×#88138C22semidirect
174. C2×#88138C22semidirect
175. C2×#88138C22semidirect
176. C2×#88137C22semidirect
177. C2×#88137C22semidirect
178. C2×#88137C22semidirect
179. C2×#88137C22semidirect
180. C2×#88137C22semidirect
181. C2×#88137C22semidirect
182. C2×#88137C22semidirect
184. C2×#88136C22semidirect
185. C2×#88136C22semidirect
186. C2×#88136C22semidirect
187. C2×#88136C22semidirect
188. C2×#88136C22semidirect
189. C2×#88136C22semidirect
190. C2×#88136C22semidirect
191. C2×#88136C22semidirect
192. C2×#88136C22semidirect
193. C2×#88136C22semidirect
194. C2×#88135C22semidirect
195. C2×#88135C22semidirect
196. C2×#88135C22semidirect
197. C2×#88135C22semidirect
198. C2×C22⋊C4×D13C22semidirect
199. C2×C22⋊C4×D13C22semidirect
200. C2×C22⋊C4×D13C22semidirect
201. C2×C22⋊C4×D13C22semidirect
202. C2×C22⋊C4×D13C22semidirect
203. C2×C22⋊C4×D13C22semidirect
204. C2×#88133C22semidirect
205. C2×#88132C22semidirect
206. C2×#88132C22semidirect
207. C2×#88130C22semidirect
208. C2×#88130C22semidirect
209. C2×#88129C22semidirect
210. C2×#88128C22semidirect
211. C2×C4×D52C22semidirect
212. C2×C4×D52C22semidirect
213. C2×C4×D52C22semidirect
214. C2×C4×D52C22semidirect
215. C2×C4×D52C22semidirect
216. C2×C4×D52C22semidirect
217. C2×#88126C22semidirect
218. C2×#88124C22semidirect
255. C22×C22⋊D13C23semidirect
256. C22×C22⋊D13C23semidirect
257. C22×C22⋊D13C23semidirect
262. C2×#6131C23semidirect
267. C2×D4×D13C23semidirect
268. C2×D4×D13C23semidirect
271. C2×#6127C23semidirect
272. C2×#6127C23semidirect
291. C22×D52C23semidirect
292. C22×D52C23semidirect
309. C22×C4×D13C23semidirect
312. C13×#126C23semidirect
313. C13×#126C23semidirect
314. C13×#124C23semidirect
315. C13×#123C23semidirect
316. C13×#123C23semidirect
317. C13×#123C23semidirect
318. C13×C22⋊Q8C23semidirect
319. C13×C22⋊Q8C23semidirect
321. C4×D4×C13C23semidirect
322. C4×D4×C13C23semidirect
323. C13×#117C23semidirect
324. C13×#117C23semidirect
347. C2×C13×C22⋊C4C23semidirect
348. C2×C13×C22⋊C4C23semidirect
352. #88207C23semidirect
359. #88201C23semidirect
360. #88200C23semidirect
361. #88200C23semidirect
362. #88194C23semidirect
364. #88193C23semidirect
365. #88192C23semidirect
366. #88192C23semidirect
367. #88191C23semidirect
368. #88191C23semidirect
369. #88191C23semidirect
370. #88189C23semidirect
372. #88184C23semidirect
373. #88184C23semidirect
374. #88184C23semidirect
375. #88184C23semidirect
376. #88184C23semidirect
377. #88184C23semidirect
378. #88183C23semidirect
379. #88183C23semidirect
380. #88183C23semidirect
381. C4×C22⋊D13C23semidirect
382. C4×C22⋊D13C23semidirect
413. C2×#6103C23semidirect
422. #88178C23semidirect
437. C2×#6101C23semidirect
441. #88152C23semidirect
442. #88152C23semidirect
443. #88152C23semidirect
444. #88151C23semidirect
445. #88151C23semidirect
446. #88150C23semidirect
447. #88150C23semidirect
448. #88150C23semidirect
449. #88149C23semidirect
450. #88149C23semidirect
451. #88149C23semidirect
452. #88149C23semidirect
453. #88149C23semidirect
454. #88149C23semidirect
455. #88149C23semidirect
456. #88149C23semidirect
457. #88148C23semidirect
458. #88148C23semidirect
459. #88148C23semidirect
460. #88148C23semidirect
461. #88148C23semidirect
462. #88148C23semidirect
463. #88148C23semidirect
464. #88148C23semidirect
465. #88148C23semidirect
466. #88147C23semidirect
467. #88147C23semidirect
468. C4⋊C4×D13C23semidirect
469. C4⋊C4×D13C23semidirect
470. #88144C23semidirect
471. #88144C23semidirect
472. #88143C23semidirect
473. #88140C23semidirect
474. #88140C23semidirect
475. #88140C23semidirect
476. #88140C23semidirect
477. #88140C23semidirect
478. #88139C23semidirect
479. #88139C23semidirect
480. #88139C23semidirect
482. #88138C23semidirect
483. #88138C23semidirect
484. #88138C23semidirect
485. #88138C23semidirect
486. #88138C23semidirect
487. #88138C23semidirect
488. #88138C23semidirect
489. #88138C23semidirect
490. #88138C23semidirect
491. #88138C23semidirect
492. #88138C23semidirect
493. #88138C23semidirect
494. #88138C23semidirect
495. #88138C23semidirect
496. #88138C23semidirect
497. #88138C23semidirect
498. #88137C23semidirect
499. #88137C23semidirect
500. #88137C23semidirect
501. #88137C23semidirect
502. #88137C23semidirect
503. #88137C23semidirect
504. #88137C23semidirect
506. #88136C23semidirect
507. #88136C23semidirect
508. #88136C23semidirect
509. #88136C23semidirect
510. #88136C23semidirect
511. #88136C23semidirect
512. #88136C23semidirect
513. #88136C23semidirect
514. #88136C23semidirect
515. #88136C23semidirect
516. #88135C23semidirect
517. #88135C23semidirect
518. #88135C23semidirect
519. #88135C23semidirect
520. C22⋊C4×D13C23semidirect
521. C22⋊C4×D13C23semidirect
522. C22⋊C4×D13C23semidirect
523. C22⋊C4×D13C23semidirect
524. C22⋊C4×D13C23semidirect
525. C22⋊C4×D13C23semidirect
526. #88133C23semidirect
527. #88132C23semidirect
528. #88132C23semidirect
529. #88130C23semidirect
530. #88130C23semidirect
531. #88129C23semidirect
532. #88128C23semidirect
533. C4×D52C23semidirect
534. C4×D52C23semidirect
535. C4×D52C23semidirect
536. C4×D52C23semidirect
537. C4×D52C23semidirect
538. C4×D52C23semidirect
539. #88126C23semidirect
540. #88124C23semidirect
829. C2×#551D13semidirect
1044. #551C2×D13semidirect
1073. C2×#126C2×D13semidirect
1074. C2×#126C2×D13semidirect
1084. C2×#124C2×D13semidirect
1112. C2×#123C2×D13semidirect
1113. C2×#123C2×D13semidirect
1114. C2×#123C2×D13semidirect
1125. C2×C22⋊Q8C2×D13semidirect
1126. C2×C22⋊Q8C2×D13semidirect
1194. C2×C4×D4C2×D13semidirect
1195. C2×C4×D4C2×D13semidirect
1197. C2×#117C2×D13semidirect
1198. C2×#117C2×D13semidirect
1209. C22×C22⋊C4C2×D13semidirect
1210. C22×C22⋊C4C2×D13semidirect
1386. #126C22×D13semidirect
1387. #126C22×D13semidirect
1397. #124C22×D13semidirect
1423. #123C22×D13semidirect
1424. #123C22×D13semidirect
1425. #123C22×D13semidirect
1436. C22⋊Q8C22×D13semidirect
1437. C22⋊Q8C22×D13semidirect
1504. C4×D4C22×D13semidirect
1505. C4×D4C22×D13semidirect
1507. #117C22×D13semidirect
1508. #117C22×D13semidirect
1599. C2×C22⋊C4C22×D13semidirect
1600. C2×C22⋊C4C22×D13semidirect
1611. C2×C13#3534semidirect
1901. C13C2×#3534semidirect
2159. C2#13129029direct (N × H)

Maximal subgroups

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

subgroupindex
#131290292
C2×#117193722
C2×#117193522
C2×#117194162
C2×#117193712
C2×#117194142
C2×#117192352
C2×#117192322
C2×#117192552
C2×#117193812
C2×#117193592
C2×#117193352
C2×#117191952
C2×D4×D522
C2×#117192952
C2×#117192402
C2×#117192672
C2×#117193502
C2×#117192692
C2×#117194122
C2×#117194092
C2×#117193622
C2×#117193832
C2×#117193342
C2×#117191982
C2×#117193582
C2×#117192942
C2×#117192292
C2×D13×#1232
C22×#881382
C2×C13×#5512
C2×#353413