Finite Group Databasebeta

← C2×D13×#546 #16769837

Subgroups — C2×D13×#546 #16769837

Order 3328.

14462 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#41×D13C211yesmaximal, characteristic, complemented
2C23×D4×D13C211yesmaximal, characteristic, complemented
3C2×#11719317C211yesmaximal, characteristic, complemented
4C2×#11719255C211yesmaximal, characteristic, complemented
5C2×#11719259C211yesmaximal, characteristic, complemented
6C2×#11719511C211yesmaximal, characteristic, complemented
7C2×#11719381C211yesmaximal, characteristic, complemented
8C2×#11719359C212yesmaximal, complemented
9C2×#11719335C211yesmaximal, characteristic, complemented
10C2×#11719195C212yesmaximal, complemented
11C2×#11719315C212yesmaximal, complemented
12C2×#11719534C211yesmaximal, characteristic, complemented
13C2×#11719296C212yesmaximal, complemented
14D13×#546C2132yesmaximal, direct product factor
15C2×D13×#124C211yesmaximal, characteristic, complemented
16C2×D13×#123C212yesmaximal, complemented
17C2×D13×C22⋊Q8C211yesmaximal, characteristic, complemented
18C2×D13×#121C211yesmaximal, characteristic, complemented
19C2×D13×#121C212yesmaximal, complemented
20C2×D13×#120C212yesmaximal, complemented
21C2×C4×D4×D13C211yesmaximal, characteristic, complemented
22C2×C4×D4×D13C211yesmaximal, characteristic, complemented
23C22×C22⋊C4×D13C212yesmaximal, complemented
24C2×C13×#546C211yesmaximal, characteristic, complemented
25C25×D13C2212yes—
26C22×C13×#41C2211yescharacteristic, complemented
27C23×D4×C13C2211yescharacteristic, complemented
28C23×C22⋊D13C2212yescomplemented
29C2×#41×D13—216no—
30C2×#41×D13C22116yescomplemented
31C22×#6131C2211yescharacteristic, complemented
32C22×Q8×D13C2211yescharacteristic, complemented
33C22×#6129C2212yescomplemented
34C22×#6129C2211yescharacteristic, complemented
35C22×D4×D13—216no—
36C22×D4×D13C2211yescharacteristic
37C22×D4×D13C2212yes—
38C22×D4×D13C2211yescharacteristic
39C22×D4×D13C2211yescharacteristic
40C22×D4×D13C2211yescharacteristic, complemented
41C22×D4×D13C2212yescomplemented
42C22×D4×D13C2211yescharacteristic, complemented
43C22×D4×D13C22116yescomplemented
44C22×D4×D13C2212yescomplemented
45C22×D4×D13C2212yescomplemented
46C22×#6127C2211yescharacteristic, complemented
47C22×#6127C2212yescomplemented
48C23×D52C2211yescharacteristic, complemented
49C23×C4×D13C2211yescharacteristic
50C23×C4×D13C2212yescomplemented
51C23×C4×D13C2211yescharacteristic, complemented
52C23×C4×D13C2212yescomplemented
53C13×#546C22116yescomplemented
54C2×C13×#124C2211yescharacteristic, complemented
55C2×C13×#123C2212yescomplemented
56C2×C13×C22⋊Q8C2211yescharacteristic, complemented
57C2×C13×#121C2212yescomplemented
58C2×C13×#121C2211yescharacteristic, complemented
59C2×C13×#120C2212yescomplemented
60C2×C4×D4×C13C2211yescharacteristic, complemented
61C2×C4×D4×C13C2211yescharacteristic, complemented
62C22×C13×C22⋊C4C2212yescomplemented
63C2×#88207C2212yescomplemented
64C22×C22⋊Dic13C2212yescomplemented
65#11719534C22116yescomplemented
66C2×#88201C2211yescharacteristic, complemented
67C2×#88200C2211yescharacteristic, complemented
68#11719511C22116yescomplemented
69C2×#88193C2212yescomplemented
70C2×#88193C2212yescomplemented
71C2×#88193C2212yescomplemented
72C2×#88192C2212yescomplemented
73C2×#88192C2211yescharacteristic, complemented
74C2×#88191C2212yescomplemented
75C2×#88191C2212yescomplemented
76C2×#88191C2212yescomplemented
77C2×#88190C2211yescharacteristic, complemented
78C2×#88189C2212yescomplemented
79C2×D4×Dic13C2211yescharacteristic, complemented
80C2×D4×Dic13C2211yescharacteristic, complemented
81C2×#88184C2211yescharacteristic, complemented
82C2×#88184C2212yescomplemented
83C2×#88183C2212yescomplemented
84C2×C4×C22⋊D13C2211yescharacteristic, complemented
85C2×C4×C22⋊D13C2211yescharacteristic, complemented
86C2×C4×C22⋊D13C2212yescomplemented
87C22×#6103C2212yescomplemented
88C22×#6103C2212yescomplemented
89C2×#88178C2211yescharacteristic, complemented
90#11719381C22116yescomplemented
91D13×#124C22116yescomplemented
92#11719359C22132yescomplemented
93D13×#123C22132yescomplemented
94#11719335C22116yescomplemented
95D13×C22⋊Q8C22116yescomplemented
96#11719317C22116yescomplemented
97#11719315C22132yescomplemented
98D13×#121C22116yescomplemented
99D13×#121C22132yescomplemented
100#11719296C22132yescomplemented
101D13×#120C22132yescomplemented
102#11719259C22116yescomplemented
103#11719255C22116yescomplemented
104C4×D4×D13C22116yescomplemented
105C4×D4×D13C22116yescomplemented
106C2×#88151C2211yescharacteristic, complemented
107C2×#88150C2212yescomplemented
108C2×#88149C2212yescomplemented
109C2×#88149C2211yescharacteristic, complemented
110C2×#88148C2212yescomplemented
111C2×#88148C2212yescomplemented
112C2×#88147C2211yescharacteristic, complemented
113C2×#88147C2211yescharacteristic, complemented
114C2×C4⋊C4×D13C2211yescharacteristic, complemented
115C2×C4⋊C4×D13C2211yescharacteristic, complemented
116C2×C4⋊C4×D13C2212yescomplemented
117C2×#88140C2212yescomplemented
118C2×#88139C2212yescomplemented
119C2×#88139C2212yescomplemented
120#11719195C22132yescomplemented
121C2×#88138C2212yescomplemented
122C2×#88138C2212yescomplemented
123C2×#88138C2212yescomplemented
124C2×#88137C2212yescomplemented
125C2×#88137C2212yescomplemented
126C2×#88136C2212yescomplemented
127C2×#88136C2212yescomplemented
128C2×#88136C2212yescomplemented
129C2×#88135C2211yescharacteristic, complemented
130C2×#88135C2211yescharacteristic, complemented
131C2×#88135C2212yescomplemented
132C2×C22⋊C4×D13C2211yescharacteristic
133C2×C22⋊C4×D13C2212yes—
134C2×C22⋊C4×D13C22132yescomplemented
135C2×C22⋊C4×D13C2212yescomplemented
136C2×C22⋊C4×D13C2212yescomplemented
137C2×C22⋊C4×D13C2212yescomplemented
138C2×C22⋊C4×D13C2212yescomplemented
139C2×C22⋊C4×D13C2212yescomplemented
140C2×C22⋊C4×D13C2212yescomplemented
141C2×C22⋊C4×D13C2212yescomplemented
142C2×C22⋊C4×D13C2211yescharacteristic, complemented
143C2×C22⋊C4×D13C2212yescomplemented
144C2×#88132C2212yescomplemented
145C2×#88129C2211yescharacteristic, complemented
146C2×C4×D52C2211yescharacteristic, complemented
147C2×C4×D52C2211yescharacteristic, complemented
148C2×C42×D13C2211yescharacteristic, complemented
149C25×C13C2312yes—
150C24×D13—216no—
151C24×D13—216no—
152C24×D13—48no—
153C24×D13C2312yes—
154C24×D13C2311yescharacteristic
155C24×D13C2312yes—
156C24×D13C2312yes—
157C24×D13C23116yes—
158C24×D13C2312yes—
159C24×D13C2312yes—
160C24×D13C2311yescharacteristic
161C2×C13×#41—28no—
162C2×C13×#41C2318yescomplemented
163C22×Q8×C13C2311yescharacteristic, complemented
164C22×D4×C13—28no—
165C22×D4×C13C2311yescharacteristic
166C22×D4×C13C2312yes—
167C22×D4×C13C2311yescharacteristic
168C22×D4×C13C2311yescharacteristic
169C22×D4×C13C2318yescomplemented
170C22×D4×C13C2312yescomplemented
171C22×D4×C13C2312yescomplemented
172C23×C4×C13C2311yescharacteristic
173C23×C4×C13C2312yescomplemented
174C23×C4×C13C2311yescharacteristic, complemented
175C23×C4×C13C2312yescomplemented
176C22×C22⋊D13—216no—
177C22×C22⋊D13C2311yescharacteristic
178C22×C22⋊D13C2311yescharacteristic
179C22×C22⋊D13C2312yes—
180C22×C22⋊D13C2312yes—
181C22×C22⋊D13C2312yes—
182C22×C22⋊D13C2312yes—
183C22×C22⋊D13C23116yescomplemented
184C22×C22⋊D13C2312yescomplemented
185C22×C22⋊D13C2312yescomplemented
186C22×C22⋊D13C2312yescomplemented
187C22×C22⋊D13C2312yescomplemented
188C23×Dic13C2311yescharacteristic
189C23×Dic13C2311yescharacteristic, complemented
190C23×Dic13C2312yescomplemented
191C23×Dic13C2312yescomplemented
192#41×D13—2128no—
193C2×#6131—28no—
194C2×#6131C2318yescomplemented
195C2×Q8×D13—28no—
196C2×Q8×D13C2318yescomplemented
197C2×#6129—28no—
198C2×#6129—216no—
199C2×#6129C23116yescomplemented
200C2×#6129C2318yescomplemented
201C2×D4×D13—216no—
202C2×D4×D13—216no—
203C2×D4×D13—28no—
204C2×D4×D13—28no—
205C2×D4×D13—216no—
206C2×D4×D13—2128no—
207C2×D4×D13—28no—
208C2×D4×D13—28no—
209C2×D4×D13—48no—
210C2×D4×D13D4116yescomplemented
211C2×D4×D13C2318yes—
212C2×D4×D13C23116yes—
213C2×D4×D13C2318yes—
214C2×D4×D13C2318yes—
215C2×D4×D13C2318yescomplemented
216C2×D4×D13C23116yescomplemented
217C2×D4×D13C2318yescomplemented
218C2×D4×D13C23116yescomplemented
219C2×D4×D13C23116yescomplemented
220C2×#6127—216no—
221C2×#6127—28no—
222C2×#6127C2318yescomplemented
223C2×#6127C23116yescomplemented
224C22×D52—28no—
225C22×D52C2311yescharacteristic
226C22×D52C2311yescharacteristic
227C22×D52C2312yes—
228C22×D52C2311yescharacteristic
229C22×D52C2318yescomplemented
230C22×D52C2312yescomplemented
231C22×D52C2312yescomplemented
232C22×C4×D13—216no—
233C22×C4×D13—28no—
234C22×C4×D13—28no—
235C22×C4×D13—48no—
236C22×C4×D13C2311yescharacteristic
237C22×C4×D13C2311yescharacteristic
238C22×C4×D13C2311yescharacteristic
239C22×C4×D13C2312yes—
240C22×C4×D13C2311yescharacteristic
241C22×C4×D13C2312yes—
242C22×C4×D13C2311yescharacteristic
243C22×C4×D13C2311yescharacteristic
244C22×C4×D13C2318yes—
245C22×C4×D13C2311yescharacteristic
246C22×C4×D13C23116yescomplemented
247C22×C4×D13C2318yescomplemented
248C22×C4×D13C2311yescharacteristic, complemented
249C22×C4×D13C2312yescomplemented
250C22×C4×D13C2312yescomplemented
251C22×C4×D13C2311yescharacteristic, complemented
252C22×C4×D13C23116yescomplemented
253C22×C4×D13C2312yescomplemented
254C22×C4×D13C2312yescomplemented
255C22×Dic26C2311yescharacteristic, complemented
256C22×Dic26C2312yescomplemented
257C13×#124C2318yescomplemented
258C13×#123C23116yescomplemented
259C13×C22⋊Q8C2318yescomplemented
260C13×#121C23116yescomplemented
261C13×#121C2318yescomplemented
262C13×#120C23116yescomplemented
263C4×D4×C13C2318yescomplemented
264C4×D4×C13C2318yescomplemented
265C2×C13×C4⋊C4C2311yescharacteristic, complemented
266C2×C13×C4⋊C4C2311yescharacteristic, complemented
267C2×C13×C4⋊C4C2312yescomplemented
268C2×C13×C22⋊C4C2312yes—
269C2×C13×C22⋊C4C2311yescharacteristic
270C2×C13×C22⋊C4C23116yescomplemented
271C2×C13×C22⋊C4C2312yescomplemented
272C2×C13×C22⋊C4C2312yescomplemented
273C2×C13×C22⋊C4C2312yescomplemented
274C2×C13×C22⋊C4C2311yescharacteristic, complemented
275C2×C13×C22⋊C4C2312yescomplemented
276C2×C42×C13C2311yescharacteristic, complemented
277#88207C23116yescomplemented
278C2×C22⋊Dic13C2312yes—
279C2×C22⋊Dic13C2311yescharacteristic
280C2×C22⋊Dic13C23116yescomplemented
281C2×C22⋊Dic13C2312yescomplemented
282C2×C22⋊Dic13C2312yescomplemented
283C2×C22⋊Dic13C2312yescomplemented
284C2×C22⋊Dic13C2312yescomplemented
285C2×C22⋊Dic13C2311yescharacteristic, complemented
286#88201C2318yescomplemented
287#88200C2318yescomplemented
288#88193C23116yescomplemented
289#88193C23116yescomplemented
290#88193C23116yescomplemented
291#88192C23116yescomplemented
292#88192C2318yescomplemented
293#88191C23116yescomplemented
294#88191C23116yescomplemented
295#88191C23116yescomplemented
296#88190C2318yescomplemented
297#88189C23116yescomplemented
298D4×Dic13C2318yescomplemented
299D4×Dic13C2318yescomplemented
300#88184C2318yescomplemented
301#88184C23116yescomplemented
302#88183C23116yescomplemented
303C4×C22⋊D13C2318yescomplemented
304C4×C22⋊D13C2318yescomplemented
305C4×C22⋊D13C23116yescomplemented
306C2×#6103C2311yescharacteristic
307C2×#6103C2311yescharacteristic
308C2×#6103C2312yes—
309C2×#6103C2312yes—
310C2×#6103C23116yescomplemented
311C2×#6103C23116yescomplemented
312C2×#6103C2312yescomplemented
313C2×#6103C2311yescharacteristic, complemented
314C2×#6103C2312yescomplemented
315C2×#6103C2312yescomplemented
316C2×#6103C2312yescomplemented
317C2×#6103C2312yescomplemented
318C2×#6103C2312yescomplemented
319C2×#6103C2312yescomplemented
320C2×#6103C2312yescomplemented
321C2×#6103C2311yescharacteristic, complemented
322C2×C4⋊Dic13C2311yescharacteristic, complemented
323C2×C4⋊Dic13C2311yescharacteristic, complemented
324C2×C4⋊Dic13C2312yescomplemented
325#88178C2318yescomplemented
326C2×#6101C2312yescomplemented
327C2×#6101C2312yescomplemented
328C2×#6101C2311yescharacteristic, complemented
329C2×#6101C2311yescharacteristic, complemented
330C2×#6101C2312yescomplemented
331C2×C4×Dic13C2311yescharacteristic, complemented
332C2×C4×Dic13C2311yescharacteristic, complemented
333C2×C4×Dic13C2311yescharacteristic, complemented
334#88151C2318yescomplemented
335#88150C23116yescomplemented
336#88149C2318yescomplemented
337#88149C23116yescomplemented
338#88148C23116yescomplemented
339#88148C23116yescomplemented
340#88147C2318yescomplemented
341#88147C2318yescomplemented
342C4⋊C4×D13C2318yescomplemented
343C4⋊C4×D13C2318yescomplemented
344C4⋊C4×D13C23116yescomplemented
345#88140C23116yescomplemented
346#88139C23116yescomplemented
347#88139C23116yescomplemented
348#88138C23116yescomplemented
349#88138C23116yescomplemented
350#88138C23116yescomplemented
351#88137C23116yescomplemented
352#88137C23116yescomplemented
353#88136C23116yescomplemented
354#88136C23116yescomplemented
355#88136C23116yescomplemented
356#88135C2318yescomplemented
357#88135C2318yescomplemented
358#88135C23116yescomplemented
359C22⋊C4×D13C2318yes—
360C22⋊C4×D13C23116yes—
361C22⋊C4×D13C23116yescomplemented
362C22⋊C4×D13C23116yescomplemented
363C22⋊C4×D13C23116yescomplemented
364C22⋊C4×D13C23116yescomplemented
365C22⋊C4×D13C23116yescomplemented
366C22⋊C4×D13C23116yescomplemented
367C22⋊C4×D13C23116yescomplemented
368C22⋊C4×D13C2318yescomplemented
369C22⋊C4×D13C23116yescomplemented
370#88132C23116yescomplemented
371#88129C2318yescomplemented
372C4×D52C2318yescomplemented
373C4×D52C2318yescomplemented
374C42×D13C2318yescomplemented
375C22×#546—131nomaximal, Sylow
376C24×C13—28no—
377C24×C13—28no—
378C24×C13—44no—
379C24×C13C2412yes—
380C24×C13C2411yescharacteristic
381C24×C13C2418yes—
382C24×C13C2412yes—
383C24×C13C2411yescharacteristic
384C23×D13—24no—
385C23×D13—28no—
386C23×D13—28no—
387C23×D13—24no—
388C23×D13—28no—
389C23×D13—28no—
390C23×D13—24no—
391C23×D13—28no—
392C23×D13—28no—
393C23×D13—264no—
394C23×D13—28no—
395C23×D13—24no—
396C23×D13—28no—
397C23×D13—28no—
398C23×D13—264no—
399C23×D13—28no—
400C23×D13—24no—
401C23×D13—28no—
402C23×D13—432no—
403C23×D13—44no—
404C23×D13—44no—
405C23×D13—44no—
406C23×D13—4128no—
407C23×D13C2×D4116yes—
408C23×D13#4118yescomplemented
409C23×D13C2418yes—
410C23×D13C2414yes—
411C23×D13C2412yes—
412C23×D13C2411yescharacteristic
413C23×D13C2418yes—
414C23×D13C2418yes—
415C23×D13C2418yes—
416C23×D13C2418yes—
417C23×D13C2412yes—
418C23×D13C2414yes—
419C23×D13C2411yescharacteristic
420C23×D13C2411yescharacteristic
421C13×#41—232no—
422C2×Q8×C13—24no—
423C2×Q8×C13C2414yescomplemented
424C2×D4×C13—28no—
425C2×D4×C13—28no—
426C2×D4×C13—24no—
427C2×D4×C13—232no—
428C2×D4×C13—24no—
429C2×D4×C13—44no—
430C2×D4×C13C2×D418yescomplemented
431C2×D4×C13C2414yes—
432C2×D4×C13C2418yes—
433C2×D4×C13C2414yes—
434C2×D4×C13C2414yes—
435C2×D4×C13C2418yescomplemented
436C2×D4×C13C2418yescomplemented
437C22×C4×C13—28no—
438C22×C4×C13—24no—
439C22×C4×C13—24no—
440C22×C4×C13—44no—
441C22×C4×C13C2411yescharacteristic
442C22×C4×C13C2411yescharacteristic
443C22×C4×C13C2411yescharacteristic
444C22×C4×C13C2412yes—
445C22×C4×C13C2412yes—
446C22×C4×C13C2411yescharacteristic
447C22×C4×C13C2414yes—
448C22×C4×C13C2411yescharacteristic
449C22×C4×C13C2418yescomplemented
450C22×C4×C13C2414yescomplemented
451C22×C4×C13C2418yescomplemented
452C2×C22⋊D13—28no—
453C2×C22⋊D13—28no—
454C2×C22⋊D13—24no—
455C2×C22⋊D13—28no—
456C2×C22⋊D13—28no—
457C2×C22⋊D13—24no—
458C2×C22⋊D13—264no—
459C2×C22⋊D13—28no—
460C2×C22⋊D13—44no—
461C2×C22⋊D13—44no—
462C2×C22⋊D13C2×D4116yescomplemented
463C2×C22⋊D13C2414yes—
464C2×C22⋊D13C2414yes—
465C2×C22⋊D13C2418yes—
466C2×C22⋊D13C2418yes—
467C2×C22⋊D13C2418yes—
468C2×C22⋊D13C2418yes—
469C2×C22⋊D13C2418yescomplemented
470C2×C22⋊D13C2418yescomplemented
471C2×C22⋊D13C2418yescomplemented
472C2×C22⋊D13C2418yescomplemented
473C22×Dic13—28no—
474C22×Dic13—24no—
475C22×Dic13—24no—
476C22×Dic13—44no—
477C22×Dic13C2414yes—
478C22×Dic13C2411yescharacteristic
479C22×Dic13C2411yescharacteristic
480C22×Dic13C2411yescharacteristic
481C22×Dic13C2412yes—
482C22×Dic13C2412yes—
483C22×Dic13C2411yescharacteristic
484C22×Dic13C2411yescharacteristic
485C22×Dic13C2414yescomplemented
486C22×Dic13C2418yescomplemented
487C22×Dic13C2418yescomplemented
488#6131—232no—
489Q8×D13—232no—
490#6129—232no—
491#6129—264no—
492D4×D13—264no—
493D4×D13—264no—
494D4×D13—232no—
495D4×D13—232no—
496D4×D13—264no—
497D4×D13—232no—
498D4×D13—232no—
499D4×D13—432no—
500D4×D13C2×D4164yescomplemented
501#6127—264no—
502#6127—232no—
503C2×D52—28no—
504C2×D52—28no—
505C2×D52—24no—
506C2×D52—24no—
507C2×D52—232no—
508C2×D52—44no—
509C2×D52C2×D418yescomplemented
510C2×D52C2414yes—
511C2×D52C2414yes—
512C2×D52C2418yes—
513C2×D52C2414yes—
514C2×D52C2418yescomplemented
515C2×D52C2418yescomplemented
516C2×C4×D13—24no—
517C2×C4×D13—24no—
518C2×C4×D13—28no—
519C2×C4×D13—28no—
520C2×C4×D13—28no—
521C2×C4×D13—264no—
522C2×C4×D13—24no—
523C2×C4×D13—24no—
524C2×C4×D13—28no—
525C2×C4×D13—24no—
526C2×C4×D13—24no—
527C2×C4×D13—24no—
528C2×C4×D13—24no—
529C2×C4×D13—232no—
530C2×C4×D13—232no—
531C2×C4×D13—432no—
532C2×C4×D13—44no—
533C2×C4×D13—44no—
534C2×C4×D13C2×D418yes—
535C2×C4×D13C2414yes—
536C2×C4×D13C2414yes—
537C2×C4×D13C2414yes—
538C2×C4×D13C2418yes—
539C2×C4×D13C2414yes—
540C2×C4×D13C2418yes—
541C2×C4×D13C2414yes—
542C2×C4×D13C2414yes—
543C2×C4×D13C2414yes—
544C2×C4×D13C2414yescomplemented
545C2×C4×D13C2418yescomplemented
546C2×C4×D13C2418yescomplemented
547C2×C4×D13C2414yescomplemented
548C2×C4×D13C2418yescomplemented
549C2×C4×D13C2418yescomplemented
550C2×Dic26—24no—
551C2×Dic26—28no—
552C2×Dic26C2414yescomplemented
553C2×Dic26C2418yescomplemented
554C13×C4⋊C4C2414yescomplemented
555C13×C4⋊C4C2414yescomplemented
556C13×C4⋊C4C2418yescomplemented
557C13×C22⋊C4C2418yes—
558C13×C22⋊C4C2414yes—
559C13×C22⋊C4C2418yescomplemented
560C13×C22⋊C4C2418yescomplemented
561C13×C22⋊C4C2418yescomplemented
562C13×C22⋊C4C2414yescomplemented
563C13×C22⋊C4C2418yescomplemented
564C42×C13C2414yescomplemented
565C22⋊Dic13C2418yes—
566C22⋊Dic13C2414yes—
567C22⋊Dic13C2418yescomplemented
568C22⋊Dic13C2418yescomplemented
569C22⋊Dic13C2418yescomplemented
570C22⋊Dic13C2418yescomplemented
571C22⋊Dic13C2414yescomplemented
572#6103C2414yes—
573#6103C2414yes—
574#6103C2418yes—
575#6103C2418yes—
576#6103C2418yescomplemented
577#6103C2414yescomplemented
578#6103C2418yescomplemented
579#6103C2418yescomplemented
580#6103C2418yescomplemented
581#6103C2418yescomplemented
582#6103C2418yescomplemented
583#6103C2418yescomplemented
584#6103C2418yescomplemented
585#6103C2414yescomplemented
586C4⋊Dic13C2414yescomplemented
587C4⋊Dic13C2414yescomplemented
588C4⋊Dic13C2418yescomplemented
589#6101C2418yescomplemented
590#6101C2418yescomplemented
591#6101C2414yescomplemented
592#6101C2414yescomplemented
593#6101C2418yescomplemented
594C4×Dic13C2414yescomplemented
595C4×Dic13C2414yescomplemented
596C4×Dic13C2414yescomplemented
597C23×#41—131no—
598C24×D4—131no—
599C2×#546—131no—
600C2×#546—131no—
601C2×#546—1332no—
602C2×#546—131no—
603C2×#546—132no—
604C2×#546—131no—
605C2×#546—132no—
606C2×#546—131no—
607C2×#546—132no—
608C2×#546—131no—
609C2×#546—131no—
610C2×#546—132no—
611C2×#546D1311yescharacteristic, direct product factor
612C22×#124—131no—
613C22×#123—132no—
614C22×C22⋊Q8—131no—
615C22×#121—131no—
616C22×#121—132no—
617C22×#120—132no—
618C22×C4×D4—131no—
619C22×C4×D4—131no—
620C23×C22⋊C4—132no—
621C23×C13—22no—
622C23×C13—24no—
623C23×C13—24no—
624C23×C13—22no—
625C23×C13—22no—
626C23×C13—216no—
627C23×C13—24no—
628C23×C13—22no—
629C23×C13—24no—
630C23×C13—216no—
631C23×C13—22no—
632C23×C13—24no—
633C23×C13—48no—
634C23×C13—432no—
635C23×C13C22×D418yes—
636C23×C13C2×#4114yescomplemented
637C23×C13C2514yes—
638C23×C13C2512yes—
639C23×C13C2514yes—
640C23×C13C2512yes—
641C23×C13C2511yescharacteristic
642C22×D13—22no—
643C22×D13—24no—
644C22×D13—24no—
645C22×D13—22no—
646C22×D13—232no—
647C22×D13—264no—
648C22×D13—28no—
649C22×D13—216no—
650C22×D13—216no—
651C22×D13—28no—
652C22×D13—22no—
653C22×D13—24no—
654C22×D13—216no—
655C22×D13—22no—
656C22×D13—24no—
657C22×D13—216no—
658C22×D13—22no—
659C22×D13—24no—
660C22×D13—28no—
661C22×D13—216no—
662C22×D13—216no—
663C22×D13—216no—
664C22×D13—28no—
665C22×D13—216no—
666C22×D13—216no—
667C22×D13—216no—
668C22×D13—28no—
669C22×D13—216no—
670C22×D13—48no—
671C22×D13—48no—
672C22×D13—48no—
673C22×D13—432no—
674C22×D13—4256no—
675C22×D13—432no—
676C22×D13—432no—
677C22×D13—416no—
678C22×D13—432no—
679C22×D13C22×D418yes—
680C22×D13C22×D4132yes—
681C22×D13C22×D414yes—
682C22×D13C2×#4114yes—
683C22×D13C2×#41116yescomplemented
684C22×D13C2×#4114yescomplemented
685C22×D13H(5,𝔽2)14yes—
686C22×D13C2514yes—
687C22×D13C2512yes—
688C22×D13C2514yes—
689C22×D13C2512yes—
690C22×D13C2512yes—
691Q8×C13—28no—
692D4×C13—216no—
693D4×C13—216no—
694D4×C13—28no—
695D4×C13—28no—
696D4×C13—48no—
697D4×C13C22×D4116yescomplemented
698C2×C4×C13—24no—
699C2×C4×C13—22no—
700C2×C4×C13—22no—
701C2×C4×C13—216no—
702C2×C4×C13—22no—
703C2×C4×C13—22no—
704C2×C4×C13—24no—
705C2×C4×C13—28no—
706C2×C4×C13—28no—
707C2×C4×C13—48no—
708C2×C4×C13C22×D414yes—
709C2×C4×C13C2512yes—
710C2×C4×C13C2512yes—
711C2×C4×C13C2512yes—
712C2×C4×C13C2514yes—
713C2×C4×C13C2514yes—
714C2×C4×C13C2512yes—
715C2×C4×C13C2512yes—
716C22⋊D13—216no—
717C22⋊D13—216no—
718C22⋊D13—28no—
719C22⋊D13—216no—
720C22⋊D13—216no—
721C22⋊D13—28no—
722C22⋊D13—216no—
723C22⋊D13—48no—
724C22⋊D13—48no—
725C22⋊D13C22×D4132yescomplemented
726C2×Dic13—24no—
727C2×Dic13—22no—
728C2×Dic13—216no—
729C2×Dic13—22no—
730C2×Dic13—22no—
731C2×Dic13—22no—
732C2×Dic13—24no—
733C2×Dic13—28no—
734C2×Dic13—28no—
735C2×Dic13—48no—
736C2×Dic13C22×D414yes—
737C2×Dic13C2512yes—
738C2×Dic13C2512yes—
739C2×Dic13C2512yes—
740C2×Dic13C2514yes—
741C2×Dic13C2514yes—
742C2×Dic13C2512yes—
743C2×Dic13C2512yes—
744D52—216no—
745D52—216no—
746D52—28no—
747D52—28no—
748D52—48no—
749D52C22×D4116yescomplemented
750C4×D13—28no—
751C4×D13—28no—
752C4×D13—216no—
753C4×D13—216no—
754C4×D13—216no—
755C4×D13—28no—
756C4×D13—28no—
757C4×D13—216no—
758C4×D13—28no—
759C4×D13—28no—
760C4×D13—28no—
761C4×D13—28no—
762C4×D13—48no—
763C4×D13—48no—
764C4×D13C22×D4116yes—
765Dic26—28no—
766Dic26—216no—
767C26—132no—
768C22×#41—1316no—
769C22×#41—131no—
770C22×#41—131no—
771C22×#41—132no—
772C22×#41—131no—
773C22×#41—132no—
774C22×#41—2616no—
775C22×#41C2×D1311yescharacteristic, complemented
776C23×Q8—131no—
777C23×D4—131no—
778C23×D4—132no—
779C23×D4—132no—
780C23×D4—131no—
781C23×D4—132no—
782C23×D4—131no—
783C23×D4—131no—
784C23×D4—131no—
785C23×D4—1316no—
786C23×D4—132no—
787C23×D4—132no—
788C23×D4—131no—
789C23×D4—2616no—
790C23×D4C2×D1311yescharacteristic, complemented
791C24×C4—131no—
792C24×C4—132no—
793C24×C4—131no—
794C24×C4—132no—
795#546—1316no—
796#546—1316no—
797#546—1316no—
798#546—1332no—
799#546—1316no—
800#546—1332no—
801#546—1316no—
802#546—1332no—
803#546—1316no—
804#546—1316no—
805#546—1332no—
806#546C2×D13116yesdirect product factor
807C2×#124—131no—
808C2×#124—131no—
809C2×#124—1316no—
810C2×#124—132no—
811C2×#124—132no—
812C2×#124—131no—
813C2×#124C2×D1311yescharacteristic, complemented
814C2×#123—132no—
815C2×#123—132no—
816C2×#123—1332no—
817C2×#123—132no—
818C2×#123—132no—
819C2×#123—132no—
820C2×#123—132no—
821C2×#123—132no—
822C2×#123C2×D1312yescomplemented
823C2×C22⋊Q8—131no—
824C2×C22⋊Q8—131no—
825C2×C22⋊Q8—1316no—
826C2×C22⋊Q8—132no—
827C2×C22⋊Q8—131no—
828C2×C22⋊Q8—132no—
829C2×C22⋊Q8C2×D1311yescharacteristic, complemented
830C2×#121—131no—
831C2×#121—132no—
832C2×#121—132no—
833C2×#121—132no—
834C2×#121—132no—
835C2×#121—131no—
836C2×#121—132no—
837C2×#121—1316no—
838C2×#121—1332no—
839C2×#121—131no—
840C2×#121—132no—
841C2×#121—132no—
842C2×#121—132no—
843C2×#121—132no—
844C2×#121C2×D1311yescharacteristic, complemented
845C2×#121C2×D1312yescomplemented
846C2×#120—132no—
847C2×#120—132no—
848C2×#120—132no—
849C2×#120—132no—
850C2×#120—1332no—
851C2×#120—132no—
852C2×#120—132no—
853C2×#120—132no—
854C2×#120C2×D1312yescomplemented
855C2×C4×D4—131no—
856C2×C4×D4—131no—
857C2×C4×D4—131no—
858C2×C4×D4—132no—
859C2×C4×D4—131no—
860C2×C4×D4—1316no—
861C2×C4×D4—1316no—
862C2×C4×D4—131no—
863C2×C4×D4—131no—
864C2×C4×D4—131no—
865C2×C4×D4—131no—
866C2×C4×D4—132no—
867C2×C4×D4—131no—
868C2×C4×D4—131no—
869C2×C4×D4C2×D1311yescharacteristic, complemented
870C2×C4×D4C2×D1311yescharacteristic, complemented
871C22×C4⋊C4—131no—
872C22×C4⋊C4—131no—
873C22×C4⋊C4—132no—
874C22×C22⋊C4—132no—
875C22×C22⋊C4—132no—
876C22×C22⋊C4—132no—
877C22×C22⋊C4—131no—
878C22×C22⋊C4—132no—
879C22×C22⋊C4—132no—
880C22×C22⋊C4—132no—
881C22×C22⋊C4—132no—
882C22×C22⋊C4—132no—
883C22×C22⋊C4—132no—
884C22×C22⋊C4—132no—
885C22×C22⋊C4—1332no—
886C22×C22⋊C4—132no—
887C22×C22⋊C4—131no—
888C22×C22⋊C4—132no—
889C22×C22⋊C4C2×D1312yescomplemented
890C22×C42—131no—
891C22×C13—22no—
892C22×C13—24no—
893C22×C13—24no—
894C22×C13—22no—
895C22×C13—28no—
896C22×C13—216no—
897C22×C13—22no—
898C22×C13—24no—
899C22×C13—22no—
900C22×C13—24no—
901C22×C13—22no—
902C22×C13—24no—
903C22×C13—432no—
904C22×C13—48no—
905C22×C13—44no—
906C22×C13C23×D418yes—
907C22×C13C23×D412yes—
908C22×C13C22×#4112yes—
909C22×C13C22×#4114yescomplemented
910C22×C13C2×H(5,𝔽2)12yes—
911C22×C13C2611yescharacteristic
912C2×D13—22no—
913C2×D13—24no—
914C2×D13—24no—
915C2×D13—22no—
916C2×D13—28no—
917C2×D13—216no—
918C2×D13—232no—
919C2×D13—264no—
920C2×D13—22no—
921C2×D13—24no—
922C2×D13—22no—
923C2×D13—24no—
924C2×D13—22no—
925C2×D13—24no—
926C2×D13—432no—
927C2×D13—432no—
928C2×D13—432no—
929C2×D13—44no—
930C2×D13—48no—
931C2×D13—416no—
932C2×D13—432no—
933C2×D13#546116yesdirect product factor
934C2×D13C23×D418yes—
935C2×D13C23×D414yes—
936C2×D13C22×#4114yes—
937C2×D13C22×#4114yescomplemented
938C2×D13C2×H(5,𝔽2)14yes—
939C4×C13—24no—
940C4×C13—22no—
941C4×C13—22no—
942C4×C13—22no—
943C4×C13—22no—
944C4×C13—24no—
945C4×C13C23×D414yes—
946Dic13—24no—
947Dic13—22no—
948Dic13—22no—
949Dic13—22no—
950Dic13—22no—
951Dic13—24no—
952Dic13C23×D414yes—
953C25—131no—
954C25—132no—
955C25—132no—
956C25—131no—
957C25—1316no—
958C25—132no—
959C25—132no—
960C25—132no—
961C25—2616no—
962C25—2616no—
963C25—528no—
964C25C22×D1312yes—
965C2×#41—28no—
966C2×#41—138no—
967C2×#41—138no—
968C2×#41—1316no—
969C2×#41—138no—
970C2×#41—1316no—
971C2×#41—2616no—
972C2×#41—268no—
973C2×#41—2616no—
974C2×#41—268no—
975C2×#41—26128no—
976C2×#41—268no—
977C2×#41C22×D1318yescomplemented
978C22×Q8—138no—
979C22×Q8—132no—
980C22×Q8—131no—
981C22×Q8—268no—
982C22×Q8C22×D1311yescharacteristic, complemented
983C22×D4—28no—
984C22×D4—132no—
985C22×D4—1316no—
986C22×D4—138no—
987C22×D4—131no—
988C22×D4—131no—
989C22×D4—132no—
990C22×D4—132no—
991C22×D4—132no—
992C22×D4—132no—
993C22×D4—132no—
994C22×D4—1316no—
995C22×D4—132no—
996C22×D4—132no—
997C22×D4—138no—
998C22×D4—1316no—
999C22×D4—138no—
1000C22×D4—1316no—
1001C22×D4—138no—
1002C22×D4—138no—
1003C22×D4—1316no—
1004C22×D4—1316no—
1005C22×D4—131no—
1006C22×D4—131no—
1007C22×D4—132no—
1008C22×D4—132no—
1009C22×D4—131no—
1010C22×D4—138no—
1011C22×D4—132no—
1012C22×D4—268no—
1013C22×D4—268no—
1014C22×D4—2616no—
1015C22×D4—26128no—
1016C22×D4—268no—
1017C22×D4—2616no—
1018C22×D4—2616no—
1019C22×D4—268no—
1020C22×D4—2616no—
1021C22×D4—268no—
1022C22×D4—528no—
1023C22×D4C22×D1311yescharacteristic
1024C22×D4C22×D1312yes—
1025C22×D4C22×D1311yescharacteristic
1026C22×D4C22×D1311yescharacteristic
1027C22×D4C22×D1318yescomplemented
1028C22×D4C22×D1312yescomplemented
1029C22×D4C22×D1312yescomplemented
1030C23×C4—131no—
1031C23×C4—132no—
1032C23×C4—131no—
1033C23×C4—131no—
1034C23×C4—132no—
1035C23×C4—131no—
1036C23×C4—131no—
1037C23×C4—132no—
1038C23×C4—131no—
1039C23×C4—132no—
1040C23×C4—132no—
1041C23×C4—132no—
1042C23×C4—131no—
1043C23×C4—131no—
1044C23×C4—131no—
1045C23×C4—131no—
1046C23×C4—138no—
1047C23×C4—131no—
1048C23×C4—1316no—
1049C23×C4—138no—
1050C23×C4—132no—
1051C23×C4—132no—
1052C23×C4—1316no—
1053C23×C4—268no—
1054C23×C4—268no—
1055C23×C4—2616no—
1056C23×C4—528no—
1057C23×C4C22×D1311yescharacteristic
1058C23×C4C22×D1312yescomplemented
1059C23×C4C22×D1311yescharacteristic, complemented
1060C23×C4C22×D1312yescomplemented
1061#124—138no—
1062#124—138no—
1063#124—1316no—
1064#124—1316no—
1065#124—138no—
1066#124C22×D1318yescomplemented
1067#123—1316no—
1068#123—1316no—
1069#123—1316no—
1070#123—1316no—
1071#123—1316no—
1072#123—1316no—
1073#123—1316no—
1074#123C22×D13116yescomplemented
1075C22⋊Q8—138no—
1076C22⋊Q8—138no—
1077C22⋊Q8—1316no—
1078C22⋊Q8—138no—
1079C22⋊Q8—1316no—
1080C22⋊Q8C22×D1318yescomplemented
1081#121—138no—
1082#121—1316no—
1083#121—1316no—
1084#121—1316no—
1085#121—1316no—
1086#121—138no—
1087#121—1316no—
1088#121—138no—
1089#121—1316no—
1090#121—1316no—
1091#121—1316no—
1092#121—1316no—
1093#121C22×D1318yescomplemented
1094#121C22×D13116yescomplemented
1095#120—1316no—
1096#120—1316no—
1097#120—1316no—
1098#120—1316no—
1099#120—1316no—
1100#120—1316no—
1101#120—1316no—
1102#120C22×D13116yescomplemented
1103C4×D4—138no—
1104C4×D4—138no—
1105C4×D4—138no—
1106C4×D4—1316no—
1107C4×D4—138no—
1108C4×D4—138no—
1109C4×D4—138no—
1110C4×D4—138no—
1111C4×D4—138no—
1112C4×D4—1316no—
1113C4×D4—138no—
1114C4×D4—138no—
1115C4×D4C22×D1318yescomplemented
1116C4×D4C22×D1318yescomplemented
1117C2×C4⋊C4—132no—
1118C2×C4⋊C4—131no—
1119C2×C4⋊C4—131no—
1120C2×C4⋊C4—131no—
1121C2×C4⋊C4—131no—
1122C2×C4⋊C4—132no—
1123C2×C4⋊C4—132no—
1124C2×C4⋊C4—132no—
1125C2×C4⋊C4—138no—
1126C2×C4⋊C4—138no—
1127C2×C4⋊C4—1316no—
1128C2×C4⋊C4C22×D1311yescharacteristic, complemented
1129C2×C4⋊C4C22×D1311yescharacteristic, complemented
1130C2×C4⋊C4C22×D1312yescomplemented
1131C2×C22⋊C4—131no—
1132C2×C22⋊C4—132no—
1133C2×C22⋊C4—132no—
1134C2×C22⋊C4—132no—
1135C2×C22⋊C4—1316no—
1136C2×C22⋊C4—132no—
1137C2×C22⋊C4—131no—
1138C2×C22⋊C4—132no—
1139C2×C22⋊C4—131no—
1140C2×C22⋊C4—131no—
1141C2×C22⋊C4—132no—
1142C2×C22⋊C4—132no—
1143C2×C22⋊C4—132no—
1144C2×C22⋊C4—132no—
1145C2×C22⋊C4—132no—
1146C2×C22⋊C4—132no—
1147C2×C22⋊C4—132no—
1148C2×C22⋊C4—132no—
1149C2×C22⋊C4—131no—
1150C2×C22⋊C4—131no—
1151C2×C22⋊C4—132no—
1152C2×C22⋊C4—132no—
1153C2×C22⋊C4—1316no—
1154C2×C22⋊C4—1316no—
1155C2×C22⋊C4—138no—
1156C2×C22⋊C4—1316no—
1157C2×C22⋊C4—1316no—
1158C2×C22⋊C4—1316no—
1159C2×C22⋊C4—1316no—
1160C2×C22⋊C4—1316no—
1161C2×C22⋊C4—1316no—
1162C2×C22⋊C4—1316no—
1163C2×C22⋊C4—1316no—
1164C2×C22⋊C4—138no—
1165C2×C22⋊C4—1316no—
1166C2×C22⋊C4C22×D1311yescharacteristic
1167C2×C22⋊C4C22×D1312yes—
1168C2×C22⋊C4C22×D13116yescomplemented
1169C2×C22⋊C4C22×D1312yescomplemented
1170C2×C22⋊C4C22×D1312yescomplemented
1171C2×C22⋊C4C22×D1312yescomplemented
1172C2×C22⋊C4C22×D1311yescharacteristic, complemented
1173C2×C22⋊C4C22×D1312yescomplemented
1174C2×C42—131no—
1175C2×C42—131no—
1176C2×C42—131no—
1177C2×C42—138no—
1178C2×C42C22×D1311yescharacteristic, complemented
1179C2×C13—24no—
1180C2×C13—28no—
1181C2×C13—44no—
1182C2×C13—42no—
1183C2×C13C2×#54614yescomplemented
1184C2×C13C24×D411yescharacteristic
1185C2×C13C23×#4111yescharacteristic
1186C2×C13C22×H(5,𝔽2)11yescharacteristic
1187D13—24no—
1188D13—28no—
1189D13—42no—
1190D13—44no—
1191D13C2×#54618yesdirect product factor
1192C24—28no—
1193C24—28no—
1194C24—44no—
1195C24—131no—
1196C24—1316no—
1197C24—138no—
1198C24—134no—
1199C24—138no—
1200C24—131no—
1201C24—132no—
1202C24—138no—
1203C24—134no—
1204C24—132no—
1205C24—131no—
1206C24—138no—
1207C24—138no—
1208C24—138no—
1209C24—264no—
1210C24—268no—
1211C24—268no—
1212C24—264no—
1213C24—264no—
1214C24—268no—
1215C24—268no—
1216C24—2664no—
1217C24—268no—
1218C24—264no—
1219C24—264no—
1220C24—268no—
1221C24—268no—
1222C24—268no—
1223C24—268no—
1224C24—2664no—
1225C24—268no—
1226C24—268no—
1227C24—524no—
1228C24—524no—
1229C24—524no—
1230C24—5232no—
1231C24—52128no—
1232C24C23×D1312yes—
1233C24C23×D1311yescharacteristic
1234C24C23×D1318yes—
1235C24C23×D1312yes—
1236C24C23×D1311yescharacteristic
1237#41—232no—
1238#41—2664no—
1239#41—2632no—
1240#41—2664no—
1241#41—2632no—
1242#41—2632no—
1243C2×Q8—24no—
1244C2×Q8—138no—
1245C2×Q8—134no—
1246C2×Q8—268no—
1247C2×Q8—2632no—
1248C2×Q8—264no—
1249C2×Q8C23×D1314yescomplemented
1250C2×D4—28no—
1251C2×D4—28no—
1252C2×D4—24no—
1253C2×D4—232no—
1254C2×D4—24no—
1255C2×D4—44no—
1256C2×D4—1316no—
1257C2×D4—138no—
1258C2×D4—1364no—
1259C2×D4—134no—
1260C2×D4—134no—
1261C2×D4—138no—
1262C2×D4—138no—
1263C2×D4—138no—
1264C2×D4—138no—
1265C2×D4—138no—
1266C2×D4—138no—
1267C2×D4—138no—
1268C2×D4—138no—
1269C2×D4—134no—
1270C2×D4—134no—
1271C2×D4—138no—
1272C2×D4—138no—
1273C2×D4—134no—
1274C2×D4—138no—
1275C2×D4—2632no—
1276C2×D4—268no—
1277C2×D4—268no—
1278C2×D4—264no—
1279C2×D4—2632no—
1280C2×D4—268no—
1281C2×D4—2664no—
1282C2×D4—2632no—
1283C2×D4—2664no—
1284C2×D4—2664no—
1285C2×D4—2632no—
1286C2×D4—2664no—
1287C2×D4—268no—
1288C2×D4—268no—
1289C2×D4—264no—
1290C2×D4—268no—
1291C2×D4—268no—
1292C2×D4—264no—
1293C2×D4—2632no—
1294C2×D4—264no—
1295C2×D4—524no—
1296C2×D4—5232no—
1297C2×D4—524no—
1298C2×D4—524no—
1299C2×D4D4×D1318yescomplemented
1300C2×D4C23×D1314yes—
1301C2×D4C23×D1318yes—
1302C2×D4C23×D1314yes—
1303C2×D4C23×D1314yes—
1304C2×D4C23×D1318yescomplemented
1305C2×D4C23×D1318yescomplemented
1306C22×C4—28no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—44no—
1310C22×C4—131no—
1311C22×C4—138no—
1312C22×C4—134no—
1313C22×C4—138no—
1314C22×C4—134no—
1315C22×C4—134no—
1316C22×C4—131no—
1317C22×C4—131no—
1318C22×C4—132no—
1319C22×C4—131no—
1320C22×C4—132no—
1321C22×C4—131no—
1322C22×C4—138no—
1323C22×C4—134no—
1324C22×C4—134no—
1325C22×C4—138no—
1326C22×C4—134no—
1327C22×C4—138no—
1328C22×C4—138no—
1329C22×C4—138no—
1330C22×C4—134no—
1331C22×C4—134no—
1332C22×C4—134no—
1333C22×C4—134no—
1334C22×C4—134no—
1335C22×C4—138no—
1336C22×C4—138no—
1337C22×C4—264no—
1338C22×C4—2632no—
1339C22×C4—264no—
1340C22×C4—2632no—
1341C22×C4—264no—
1342C22×C4—264no—
1343C22×C4—268no—
1344C22×C4—268no—
1345C22×C4—268no—
1346C22×C4—2664no—
1347C22×C4—264no—
1348C22×C4—268no—
1349C22×C4—264no—
1350C22×C4—264no—
1351C22×C4—264no—
1352C22×C4—268no—
1353C22×C4—264no—
1354C22×C4—264no—
1355C22×C4—524no—
1356C22×C4—524no—
1357C22×C4—5232no—
1358C22×C4—524no—
1359C22×C4C23×D1314yes—
1360C22×C4C23×D1311yescharacteristic
1361C22×C4C23×D1311yescharacteristic
1362C22×C4C23×D1312yes—
1363C22×C4C23×D1311yescharacteristic
1364C22×C4C23×D1312yes—
1365C22×C4C23×D1311yescharacteristic
1366C22×C4C23×D1311yescharacteristic
1367C22×C4C23×D1318yescomplemented
1368C22×C4C23×D1314yescomplemented
1369C22×C4C23×D1318yescomplemented
1370C4⋊C4—138no—
1371C4⋊C4—134no—
1372C4⋊C4—134no—
1373C4⋊C4—134no—
1374C4⋊C4—134no—
1375C4⋊C4—138no—
1376C4⋊C4—138no—
1377C4⋊C4—138no—
1378C4⋊C4C23×D1314yescomplemented
1379C4⋊C4C23×D1314yescomplemented
1380C4⋊C4C23×D1318yescomplemented
1381C22⋊C4—134no—
1382C22⋊C4—138no—
1383C22⋊C4—138no—
1384C22⋊C4—138no—
1385C22⋊C4—138no—
1386C22⋊C4—134no—
1387C22⋊C4—138no—
1388C22⋊C4—134no—
1389C22⋊C4—134no—
1390C22⋊C4—138no—
1391C22⋊C4—138no—
1392C22⋊C4—138no—
1393C22⋊C4—138no—
1394C22⋊C4—138no—
1395C22⋊C4—138no—
1396C22⋊C4—138no—
1397C22⋊C4—138no—
1398C22⋊C4—134no—
1399C22⋊C4—134no—
1400C22⋊C4—138no—
1401C22⋊C4—138no—
1402C22⋊C4C23×D1314yes—
1403C22⋊C4C23×D1318yes—
1404C22⋊C4C23×D1318yescomplemented
1405C22⋊C4C23×D1318yescomplemented
1406C22⋊C4C23×D1318yescomplemented
1407C22⋊C4C23×D1314yescomplemented
1408C22⋊C4C23×D1318yescomplemented
1409C42—134no—
1410C42—134no—
1411C42—134no—
1412C42C23×D1314yescomplemented
1413C13C22×#54611yescharacteristic, complemented, Sylow
1414C23—22no—
1415C23—24no—
1416C23—24no—
1417C23—22no—
1418C23—22no—
1419C23—216no—
1420C23—24no—
1421C23—22no—
1422C23—24no—
1423C23—216no—
1424C23—22no—
1425C23—24no—
1426C23—48no—
1427C23—432no—
1428C23—134no—
1429C23—134no—
1430C23—134no—
1431C23—132no—
1432C23—1332no—
1433C23—138no—
1434C23—134no—
1435C23—1316no—
1436C23—132no—
1437C23—134no—
1438C23—134no—
1439C23—132no—
1440C23—268no—
1441C23—2616no—
1442C23—2616no—
1443C23—2632no—
1444C23—268no—
1445C23—2664no—
1446C23—268no—
1447C23—2616no—
1448C23—2616no—
1449C23—2616no—
1450C23—268no—
1451C23—268no—
1452C23—2616no—
1453C23—2616no—
1454C23—2616no—
1455C23—2616no—
1456C23—262no—
1457C23—264no—
1458C23—264no—
1459C23—262no—
1460C23—262no—
1461C23—2616no—
1462C23—264no—
1463C23—262no—
1464C23—264no—
1465C23—2616no—
1466C23—262no—
1467C23—264no—
1468C23—528no—
1469C23—528no—
1470C23—528no—
1471C23—5232no—
1472C23—5232no—
1473C23—5232no—
1474C23—5216no—
1475C23—52256no—
1476C23—5232no—
1477C23C2×D4×D1318yes—
1478C23#41×D1314yescomplemented
1479C23C24×D1314yes—
1480C23C24×D1312yes—
1481C23C24×D1314yes—
1482C23C24×D1312yes—
1483C23C24×D1311yescharacteristic
1484Q8—28no—
1485Q8—2616no—
1486Q8—268no—
1487D4—216no—
1488D4—216no—
1489D4—28no—
1490D4—28no—
1491D4—48no—
1492D4—1332no—
1493D4—1316no—
1494D4—268no—
1495D4—2616no—
1496D4—2616no—
1497D4—2616no—
1498D4—268no—
1499D4—2616no—
1500D4—2616no—
1501D4—2616no—
1502D4—2616no—
1503D4—268no—
1504D4—268no—
1505D4—528no—
1506D4—528no—
1507D4—528no—
1508D4C2×D4×D13116yescomplemented
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—216no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—28no—
1517C2×C4—28no—
1518C2×C4—48no—
1519C2×C4—134no—
1520C2×C4—132no—
1521C2×C4—1316no—
1522C2×C4—132no—
1523C2×C4—132no—
1524C2×C4—134no—
1525C2×C4—132no—
1526C2×C4—134no—
1527C2×C4—132no—
1528C2×C4—268no—
1529C2×C4—268no—
1530C2×C4—268no—
1531C2×C4—268no—
1532C2×C4—2616no—
1533C2×C4—2616no—
1534C2×C4—2616no—
1535C2×C4—268no—
1536C2×C4—2616no—
1537C2×C4—268no—
1538C2×C4—268no—
1539C2×C4—268no—
1540C2×C4—262no—
1541C2×C4—262no—
1542C2×C4—264no—
1543C2×C4—2616no—
1544C2×C4—262no—
1545C2×C4—262no—
1546C2×C4—264no—
1547C2×C4—268no—
1548C2×C4—268no—
1549C2×C4—528no—
1550C2×C4—528no—
1551C2×C4—528no—
1552C2×C4C2×D4×D1314yes—
1553C2×C4C24×D1312yes—
1554C2×C4C24×D1312yes—
1555C2×C4C24×D1314yes—
1556C2×C4C24×D1312yes—
1557C2×C4C24×D1314yes—
1558C2×C4C24×D1312yes—
1559C2×C4C24×D1312yes—
1560C22—28no—
1561C22—216no—
1562C22—22no—
1563C22—24no—
1564C22—24no—
1565C22—22no—
1566C22—22no—
1567C22—24no—
1568C22—22no—
1569C22—24no—
1570C22—22no—
1571C22—24no—
1572C22—432no—
1573C22—48no—
1574C22—44no—
1575C22—1316no—
1576C22—134no—
1577C22—134no—
1578C22—134no—
1579C22—138no—
1580C22—134no—
1581C22—2664no—
1582C22—2632no—
1583C22—2616no—
1584C22—268no—
1585C22—262no—
1586C22—264no—
1587C22—264no—
1588C22—262no—
1589C22—262no—
1590C22—264no—
1591C22—262no—
1592C22—264no—
1593C22—262no—
1594C22—264no—
1595C22—5232no—
1596C22—5232no—
1597C22—5216no—
1598C22—5232no—
1599C22—5232no—
1600C22—524no—
1601C22—528no—
1602C22C22×D4×D1318yes—
1603C22C22×D4×D1312yes—
1604C22C2×#41×D1312yes—
1605C22C2×#41×D1314yescomplemented
1606C22D13×H(5,𝔽2)12yes—
1607C22C25×D1311yescharacteristic
1608C4—22no—
1609C4—22no—
1610C4—24no—
1611C4—22no—
1612C4—22no—
1613C4—24no—
1614C4—134no—
1615C4—262no—
1616C4—262no—
1617C4—264no—
1618C4—262no—
1619C4—262no—
1620C4—264no—
1621C4C22×D4×D1314yes—
1622C2—24no—
1623C2—28no—
1624C2—44no—
1625C2—42no—
1626C2—138no—
1627C2—264no—
1628C2—268no—
1629C2—524no—
1630C2—522no—
1631C2D13×#54614yesdirect product factor
1632C2C23×D4×D1311yescharacteristic
1633C2C22×#41×D1311yescharacteristic
1634C2C2×D13×H(5,𝔽2)11yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#546C2
socleC23×C13C25
hypercenterC2×#546D13
hypocenterC13C22×#546
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. C22×#41×D13C2semidirect
2. C23×D4×D13C2semidirect
3. C2×#11719317C2semidirect
4. C2×#11719255C2semidirect
5. C2×#11719259C2semidirect
6. C2×#11719511C2semidirect
7. C2×#11719381C2semidirect
8. C2×#11719359C2semidirect
9. C2×#11719335C2semidirect
10. C2×#11719195C2semidirect
11. C2×#11719315C2semidirect
12. C2×#11719534C2semidirect
13. C2×#11719296C2semidirect
14. D13×#546C2direct (N × H)
15. C2×D13×#124C2semidirect
16. C2×D13×#123C2semidirect
17. C2×D13×C22⋊Q8C2semidirect
18. C2×D13×#121C2semidirect
19. C2×D13×#121C2semidirect
20. C2×D13×#120C2semidirect
21. C2×C4×D4×D13C2semidirect
22. C2×C4×D4×D13C2semidirect
23. C22×C22⋊C4×D13C2semidirect
24. C2×C13×#546C2semidirect
26. C22×C13×#41C22semidirect
27. C23×D4×C13C22semidirect
28. C23×C22⋊D13C22semidirect
30. C2×#41×D13C22semidirect
31. C22×#6131C22semidirect
32. C22×Q8×D13C22semidirect
33. C22×#6129C22semidirect
34. C22×#6129C22semidirect
40. C22×D4×D13C22semidirect
41. C22×D4×D13C22semidirect
42. C22×D4×D13C22semidirect
43. C22×D4×D13C22semidirect
44. C22×D4×D13C22semidirect
45. C22×D4×D13C22semidirect
46. C22×#6127C22semidirect
47. C22×#6127C22semidirect
48. C23×D52C22semidirect
50. C23×C4×D13C22semidirect
51. C23×C4×D13C22semidirect
52. C23×C4×D13C22semidirect
53. C13×#546C22semidirect
54. C2×C13×#124C22semidirect
55. C2×C13×#123C22semidirect
56. C2×C13×C22⋊Q8C22semidirect
57. C2×C13×#121C22semidirect
58. C2×C13×#121C22semidirect
59. C2×C13×#120C22semidirect
60. C2×C4×D4×C13C22semidirect
61. C2×C4×D4×C13C22semidirect
62. C22×C13×C22⋊C4C22semidirect
63. C2×#88207C22semidirect
64. C22×C22⋊Dic13C22semidirect
65. #11719534C22semidirect
66. C2×#88201C22semidirect
67. C2×#88200C22semidirect
68. #11719511C22semidirect
69. C2×#88193C22semidirect
70. C2×#88193C22semidirect
71. C2×#88193C22semidirect
72. C2×#88192C22semidirect
73. C2×#88192C22semidirect
74. C2×#88191C22semidirect
75. C2×#88191C22semidirect
76. C2×#88191C22semidirect
77. C2×#88190C22semidirect
78. C2×#88189C22semidirect
79. C2×D4×Dic13C22semidirect
80. C2×D4×Dic13C22semidirect
81. C2×#88184C22semidirect
82. C2×#88184C22semidirect
83. C2×#88183C22semidirect
84. C2×C4×C22⋊D13C22semidirect
85. C2×C4×C22⋊D13C22semidirect
86. C2×C4×C22⋊D13C22semidirect
87. C22×#6103C22semidirect
88. C22×#6103C22semidirect
89. C2×#88178C22semidirect
90. #11719381C22semidirect
91. D13×#124C22semidirect
92. #11719359C22semidirect
93. D13×#123C22semidirect
94. #11719335C22semidirect
95. D13×C22⋊Q8C22semidirect
96. #11719317C22semidirect
97. #11719315C22semidirect
98. D13×#121C22semidirect
99. D13×#121C22semidirect
100. #11719296C22semidirect
101. D13×#120C22semidirect
102. #11719259C22semidirect
103. #11719255C22semidirect
104. C4×D4×D13C22semidirect
105. C4×D4×D13C22semidirect
106. C2×#88151C22semidirect
107. C2×#88150C22semidirect
108. C2×#88149C22semidirect
109. C2×#88149C22semidirect
110. C2×#88148C22semidirect
111. C2×#88148C22semidirect
112. C2×#88147C22semidirect
113. C2×#88147C22semidirect
114. C2×C4⋊C4×D13C22semidirect
115. C2×C4⋊C4×D13C22semidirect
116. C2×C4⋊C4×D13C22semidirect
117. C2×#88140C22semidirect
118. C2×#88139C22semidirect
119. C2×#88139C22semidirect
120. #11719195C22semidirect
121. C2×#88138C22semidirect
122. C2×#88138C22semidirect
123. C2×#88138C22semidirect
124. C2×#88137C22semidirect
125. C2×#88137C22semidirect
126. C2×#88136C22semidirect
127. C2×#88136C22semidirect
128. C2×#88136C22semidirect
129. C2×#88135C22semidirect
130. C2×#88135C22semidirect
131. C2×#88135C22semidirect
134. C2×C22⋊C4×D13C22semidirect
135. C2×C22⋊C4×D13C22semidirect
136. C2×C22⋊C4×D13C22semidirect
137. C2×C22⋊C4×D13C22semidirect
138. C2×C22⋊C4×D13C22semidirect
139. C2×C22⋊C4×D13C22semidirect
140. C2×C22⋊C4×D13C22semidirect
141. C2×C22⋊C4×D13C22semidirect
142. C2×C22⋊C4×D13C22semidirect
143. C2×C22⋊C4×D13C22semidirect
144. C2×#88132C22semidirect
145. C2×#88129C22semidirect
146. C2×C4×D52C22semidirect
147. C2×C4×D52C22semidirect
148. C2×C42×D13C22semidirect
162. C2×C13×#41C23semidirect
163. C22×Q8×C13C23semidirect
169. C22×D4×C13C23semidirect
170. C22×D4×C13C23semidirect
171. C22×D4×C13C23semidirect
173. C23×C4×C13C23semidirect
174. C23×C4×C13C23semidirect
175. C23×C4×C13C23semidirect
183. C22×C22⋊D13C23semidirect
184. C22×C22⋊D13C23semidirect
185. C22×C22⋊D13C23semidirect
186. C22×C22⋊D13C23semidirect
187. C22×C22⋊D13C23semidirect
189. C23×Dic13C23semidirect
190. C23×Dic13C23semidirect
191. C23×Dic13C23semidirect
194. C2×#6131C23semidirect
196. C2×Q8×D13C23semidirect
199. C2×#6129C23semidirect
200. C2×#6129C23semidirect
210. C2×D4×D13D4semidirect
215. C2×D4×D13C23semidirect
216. C2×D4×D13C23semidirect
217. C2×D4×D13C23semidirect
218. C2×D4×D13C23semidirect
219. C2×D4×D13C23semidirect
222. C2×#6127C23semidirect
223. C2×#6127C23semidirect
229. C22×D52C23semidirect
230. C22×D52C23semidirect
231. C22×D52C23semidirect
246. C22×C4×D13C23semidirect
247. C22×C4×D13C23semidirect
248. C22×C4×D13C23semidirect
249. C22×C4×D13C23semidirect
250. C22×C4×D13C23semidirect
251. C22×C4×D13C23semidirect
252. C22×C4×D13C23semidirect
253. C22×C4×D13C23semidirect
254. C22×C4×D13C23semidirect
255. C22×Dic26C23semidirect
256. C22×Dic26C23semidirect
257. C13×#124C23semidirect
258. C13×#123C23semidirect
259. C13×C22⋊Q8C23semidirect
260. C13×#121C23semidirect
261. C13×#121C23semidirect
262. C13×#120C23semidirect
263. C4×D4×C13C23semidirect
264. C4×D4×C13C23semidirect
265. C2×C13×C4⋊C4C23semidirect
266. C2×C13×C4⋊C4C23semidirect
267. C2×C13×C4⋊C4C23semidirect
270. C2×C13×C22⋊C4C23semidirect
271. C2×C13×C22⋊C4C23semidirect
272. C2×C13×C22⋊C4C23semidirect
273. C2×C13×C22⋊C4C23semidirect
274. C2×C13×C22⋊C4C23semidirect
275. C2×C13×C22⋊C4C23semidirect
276. C2×C42×C13C23semidirect
277. #88207C23semidirect
280. C2×C22⋊Dic13C23semidirect
281. C2×C22⋊Dic13C23semidirect
282. C2×C22⋊Dic13C23semidirect
283. C2×C22⋊Dic13C23semidirect
284. C2×C22⋊Dic13C23semidirect
285. C2×C22⋊Dic13C23semidirect
286. #88201C23semidirect
287. #88200C23semidirect
288. #88193C23semidirect
289. #88193C23semidirect
290. #88193C23semidirect
291. #88192C23semidirect
292. #88192C23semidirect
293. #88191C23semidirect
294. #88191C23semidirect
295. #88191C23semidirect
296. #88190C23semidirect
297. #88189C23semidirect
298. D4×Dic13C23semidirect
299. D4×Dic13C23semidirect
300. #88184C23semidirect
301. #88184C23semidirect
302. #88183C23semidirect
303. C4×C22⋊D13C23semidirect
304. C4×C22⋊D13C23semidirect
305. C4×C22⋊D13C23semidirect
310. C2×#6103C23semidirect
311. C2×#6103C23semidirect
312. C2×#6103C23semidirect
313. C2×#6103C23semidirect
314. C2×#6103C23semidirect
315. C2×#6103C23semidirect
316. C2×#6103C23semidirect
317. C2×#6103C23semidirect
318. C2×#6103C23semidirect
319. C2×#6103C23semidirect
320. C2×#6103C23semidirect
321. C2×#6103C23semidirect
322. C2×C4⋊Dic13C23semidirect
323. C2×C4⋊Dic13C23semidirect
324. C2×C4⋊Dic13C23semidirect
325. #88178C23semidirect
326. C2×#6101C23semidirect
327. C2×#6101C23semidirect
328. C2×#6101C23semidirect
329. C2×#6101C23semidirect
330. C2×#6101C23semidirect
331. C2×C4×Dic13C23semidirect
332. C2×C4×Dic13C23semidirect
333. C2×C4×Dic13C23semidirect
334. #88151C23semidirect
335. #88150C23semidirect
336. #88149C23semidirect
337. #88149C23semidirect
338. #88148C23semidirect
339. #88148C23semidirect
340. #88147C23semidirect
341. #88147C23semidirect
342. C4⋊C4×D13C23semidirect
343. C4⋊C4×D13C23semidirect
344. C4⋊C4×D13C23semidirect
345. #88140C23semidirect
346. #88139C23semidirect
347. #88139C23semidirect
348. #88138C23semidirect
349. #88138C23semidirect
350. #88138C23semidirect
351. #88137C23semidirect
352. #88137C23semidirect
353. #88136C23semidirect
354. #88136C23semidirect
355. #88136C23semidirect
356. #88135C23semidirect
357. #88135C23semidirect
358. #88135C23semidirect
361. C22⋊C4×D13C23semidirect
362. C22⋊C4×D13C23semidirect
363. C22⋊C4×D13C23semidirect
364. C22⋊C4×D13C23semidirect
365. C22⋊C4×D13C23semidirect
366. C22⋊C4×D13C23semidirect
367. C22⋊C4×D13C23semidirect
368. C22⋊C4×D13C23semidirect
369. C22⋊C4×D13C23semidirect
370. #88132C23semidirect
371. #88129C23semidirect
372. C4×D52C23semidirect
373. C4×D52C23semidirect
374. C42×D13C23semidirect
408. C23×D13#41semidirect
423. C2×Q8×C13C24semidirect
430. C2×D4×C13C2×D4semidirect
435. C2×D4×C13C24semidirect
436. C2×D4×C13C24semidirect
449. C22×C4×C13C24semidirect
450. C22×C4×C13C24semidirect
451. C22×C4×C13C24semidirect
462. C2×C22⋊D13C2×D4semidirect
469. C2×C22⋊D13C24semidirect
470. C2×C22⋊D13C24semidirect
471. C2×C22⋊D13C24semidirect
472. C2×C22⋊D13C24semidirect
485. C22×Dic13C24semidirect
486. C22×Dic13C24semidirect
487. C22×Dic13C24semidirect
500. D4×D13C2×D4semidirect
509. C2×D52C2×D4semidirect
514. C2×D52C24semidirect
515. C2×D52C24semidirect
544. C2×C4×D13C24semidirect
545. C2×C4×D13C24semidirect
546. C2×C4×D13C24semidirect
547. C2×C4×D13C24semidirect
548. C2×C4×D13C24semidirect
549. C2×C4×D13C24semidirect
552. C2×Dic26C24semidirect
553. C2×Dic26C24semidirect
554. C13×C4⋊C4C24semidirect
555. C13×C4⋊C4C24semidirect
556. C13×C4⋊C4C24semidirect
559. C13×C22⋊C4C24semidirect
560. C13×C22⋊C4C24semidirect
561. C13×C22⋊C4C24semidirect
562. C13×C22⋊C4C24semidirect
563. C13×C22⋊C4C24semidirect
564. C42×C13C24semidirect
567. C22⋊Dic13C24semidirect
568. C22⋊Dic13C24semidirect
569. C22⋊Dic13C24semidirect
570. C22⋊Dic13C24semidirect
571. C22⋊Dic13C24semidirect
576. #6103C24semidirect
577. #6103C24semidirect
578. #6103C24semidirect
579. #6103C24semidirect
580. #6103C24semidirect
581. #6103C24semidirect
582. #6103C24semidirect
583. #6103C24semidirect
584. #6103C24semidirect
585. #6103C24semidirect
586. C4⋊Dic13C24semidirect
587. C4⋊Dic13C24semidirect
588. C4⋊Dic13C24semidirect
589. #6101C24semidirect
590. #6101C24semidirect
591. #6101C24semidirect
592. #6101C24semidirect
593. #6101C24semidirect
594. C4×Dic13C24semidirect
595. C4×Dic13C24semidirect
596. C4×Dic13C24semidirect
611. C2×#546D13direct (N × H)
636. C23×C13C2×#41semidirect
683. C22×D13C2×#41semidirect
684. C22×D13C2×#41semidirect
697. D4×C13C22×D4semidirect
725. C22⋊D13C22×D4semidirect
749. D52C22×D4semidirect
775. C22×#41C2×D13semidirect
790. C23×D4C2×D13semidirect
806. #546C2×D13direct (N × H)
813. C2×#124C2×D13semidirect
822. C2×#123C2×D13semidirect
829. C2×C22⋊Q8C2×D13semidirect
844. C2×#121C2×D13semidirect
845. C2×#121C2×D13semidirect
854. C2×#120C2×D13semidirect
869. C2×C4×D4C2×D13semidirect
870. C2×C4×D4C2×D13semidirect
889. C22×C22⋊C4C2×D13semidirect
909. C22×C13C22×#41semidirect
933. C2×D13#546direct (N × H)
937. C2×D13C22×#41semidirect
977. C2×#41C22×D13semidirect
982. C22×Q8C22×D13semidirect
1027. C22×D4C22×D13semidirect
1028. C22×D4C22×D13semidirect
1029. C22×D4C22×D13semidirect
1058. C23×C4C22×D13semidirect
1059. C23×C4C22×D13semidirect
1060. C23×C4C22×D13semidirect
1066. #124C22×D13semidirect
1074. #123C22×D13semidirect
1080. C22⋊Q8C22×D13semidirect
1093. #121C22×D13semidirect
1094. #121C22×D13semidirect
1102. #120C22×D13semidirect
1115. C4×D4C22×D13semidirect
1116. C4×D4C22×D13semidirect
1128. C2×C4⋊C4C22×D13semidirect
1129. C2×C4⋊C4C22×D13semidirect
1130. C2×C4⋊C4C22×D13semidirect
1168. C2×C22⋊C4C22×D13semidirect
1169. C2×C22⋊C4C22×D13semidirect
1170. C2×C22⋊C4C22×D13semidirect
1171. C2×C22⋊C4C22×D13semidirect
1172. C2×C22⋊C4C22×D13semidirect
1173. C2×C22⋊C4C22×D13semidirect
1178. C2×C42C22×D13semidirect
1183. C2×C13C2×#546semidirect
1191. D13C2×#546direct (N × H)
1249. C2×Q8C23×D13semidirect
1299. C2×D4D4×D13semidirect
1304. C2×D4C23×D13semidirect
1305. C2×D4C23×D13semidirect
1367. C22×C4C23×D13semidirect
1368. C22×C4C23×D13semidirect
1369. C22×C4C23×D13semidirect
1378. C4⋊C4C23×D13semidirect
1379. C4⋊C4C23×D13semidirect
1380. C4⋊C4C23×D13semidirect
1404. C22⋊C4C23×D13semidirect
1405. C22⋊C4C23×D13semidirect
1406. C22⋊C4C23×D13semidirect
1407. C22⋊C4C23×D13semidirect
1408. C22⋊C4C23×D13semidirect
1412. C42C23×D13semidirect
1413. C13C22×#546semidirect
1478. C23#41×D13semidirect
1508. D4C2×D4×D13semidirect
1605. C22C2×#41×D13semidirect
1631. C2D13×#546direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#41×D132
C23×D4×D132
C2×#117193172
C2×#117192552
C2×#117192592
C2×#117195112
C2×#117193812
C2×#117193592
C2×#117193352
C2×#117191952
C2×#117193152
C2×#117195342
C2×#117192962
D13×#5462
C2×D13×#1242
C2×D13×#1232
C2×D13×C22⋊Q82
C2×D13×#1212
C2×D13×#1202
C2×C4×D4×D132
C22×C22⋊C4×D132
C2×C13×#5462
C22×#54613