Finite Group Databasebeta

← C2×#21437724 #29496565

Subgroups — C2×#21437724 #29496565

Order 15104.

14438 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14273772C211yesmaximal, characteristic, complemented
2C23×D4×D59C211yesmaximal, characteristic, complemented
3#21437724C2132yesmaximal, direct product factor
4C2×#16838049C211yesmaximal, characteristic, complemented
5C2×#16838048C211yesmaximal, characteristic, complemented
6C2×#16838047C211yesmaximal, characteristic, complemented
7C2×#16838046C211yesmaximal, characteristic, complemented
8C2×#16838041C212yesmaximal, complemented
9C2×#16838039C212yesmaximal, complemented
10C2×#16838037C211yesmaximal, characteristic, complemented
11C2×#16838036C211yesmaximal, characteristic, complemented
12C2×D4×C22⋊D59C212yesmaximal, complemented
13C2×D4×C22⋊D59C211yesmaximal, characteristic, complemented
14C2×#16838034C212yesmaximal, complemented
15C2×#16837968C211yesmaximal, characteristic, complemented
16C2×#16837965C211yesmaximal, characteristic, complemented
17C2×#16837962C212yesmaximal, complemented
18C2×#16837960C212yesmaximal, complemented
19C2×#16837912C211yesmaximal, characteristic, complemented
20C2×#16837911C211yesmaximal, characteristic, complemented
21C22×#14273695C212yesmaximal, complemented
22C2×#120×D59C212yesmaximal, complemented
23C2×#16837874C211yesmaximal, characteristic, complemented
24C2×D42×C59C211yesmaximal, characteristic, complemented
25C25×D59C2212yescomplemented
26C2×#14273772—216no—
27C2×#14273772C22116yescomplemented
28C22×#11745685C2211yescharacteristic, complemented
29C22×#11745685C2211yescharacteristic, complemented
30C22×#11745687C2211yescharacteristic, complemented
31C22×#11745687C2211yescharacteristic, complemented
32C22×#11745687C2212yescomplemented
33C23×D236C2211yescharacteristic, complemented
34C23×C22⋊D59C2212yescomplemented
35C23×C22⋊D59C2212yescomplemented
36C23×C22⋊D59C2212yescomplemented
37C23×C22⋊D59C2212yescomplemented
38C22×D4×D59—216no—
39C22×D4×D59C2211yescharacteristic
40C22×D4×D59C2212yescomplemented
41C22×D4×D59C2211yescharacteristic, complemented
42C22×D4×D59C2211yescharacteristic, complemented
43C22×D4×D59C2212yescomplemented
44C22×D4×D59C2211yescharacteristic, complemented
45C22×D4×D59C2212yescomplemented
46C22×D4×D59C22116yescomplemented
47C22×D4×D59C2212yescomplemented
48C22×D4×D59C2211yescharacteristic, complemented
49C22×D4×D59C2212yescomplemented
50C23×C4×D59C2211yescharacteristic, complemented
51#16838049C22116yescomplemented
52#16838048C22116yescomplemented
53#16838047C22116yescomplemented
54#16838046C22116yescomplemented
55#16838041C22132yescomplemented
56#16838039C22132yescomplemented
57#16838037C22116yescomplemented
58#16838036C22116yescomplemented
59D4×C22⋊D59C22116yescomplemented
60D4×C22⋊D59C22132yescomplemented
61#16838034C22132yescomplemented
62#16837968C22116yescomplemented
63#16837965C22116yescomplemented
64#16837962C22132yescomplemented
65#16837960C22132yescomplemented
66C2×#14273723C2212yescomplemented
67C2×#14273723C2211yescharacteristic, complemented
68C2×#14273715C2211yescharacteristic, complemented
69C2×#14273714C2211yescharacteristic, complemented
70C2×#14273713C2212yescomplemented
71#16837912C22116yescomplemented
72#16837911C22116yescomplemented
73C2×#14273712C2211yescharacteristic, complemented
74C2×#14273712C2212yescomplemented
75C2×#14273711C2212yescomplemented
76C2×#14273709C2211yescharacteristic, complemented
77C2×#14273709C2212yescomplemented
78C2×#14273709C2212yescomplemented
79C2×#14273708C2212yescomplemented
80C2×#14273707C2211yescharacteristic, complemented
81C2×#14273706C2211yescharacteristic, complemented
82C2×#14273705C2211yescharacteristic, complemented
83C2×#14273704C2211yescharacteristic, complemented
84C2×#14273702C2211yescharacteristic, complemented
85C2×#14273701C2212yescomplemented
86C2×#14273701C2211yescharacteristic, complemented
87C2×#14273700C2211yescharacteristic, complemented
88C2×#14273700C2212yescomplemented
89C2×#14273700C2212yescomplemented
90C2×#14273699C2211yescharacteristic, complemented
91C2×#14273699C2212yescomplemented
92C2×#14273699C2212yescomplemented
93C2×#14273699C2212yescomplemented
94C2×#14273699C2212yescomplemented
95C2×#14273698C2211yescharacteristic, complemented
96C2×#14273698C2211yescharacteristic, complemented
97C2×#14273698C2212yescomplemented
98C2×#14273698C2212yescomplemented
99C2×#14273697C2211yescharacteristic, complemented
100C2×#14273697C2212yescomplemented
101C2×#14273697C2212yescomplemented
102C2×#14273697C2212yescomplemented
103C2×#14273696C2212yescomplemented
104C2×#14273696C2212yescomplemented
105C2×#14273695C2212yescomplemented
106C2×#14273695C2211yescharacteristic, complemented
107C2×#14273695C2212yescomplemented
108C2×#14273695C2212yescomplemented
109C2×#14273695C2212yescomplemented
110C2×#14273695C2212yescomplemented
111C2×#14273695C2212yescomplemented
112C2×#14273695C2212yescomplemented
113C2×#14273695C2212yescomplemented
114C2×#14273695C2212yescomplemented
115C2×#14273695C2212yescomplemented
116C2×#14273695C22132yescomplemented
117#120×D59C22132yescomplemented
118#16837874C22116yescomplemented
119C2×C4×D236C2211yescharacteristic, complemented
120C2×C4×D236C2211yescharacteristic, complemented
121C2×D4×Dic59C2212yescomplemented
122C2×D4×Dic59C2211yescharacteristic, complemented
123C2×#14273689C2211yescharacteristic, complemented
124C2×C4×C22⋊D59C2211yescharacteristic, complemented
125C2×C4×C22⋊D59C2211yescharacteristic, complemented
126C2×C4×C22⋊D59C2212yescomplemented
127C2×(C22⋊D59)⋊C4C2212yescomplemented
128C2×(C22⋊D59)⋊C4C2212yescomplemented
129C2×#14273685C2211yescharacteristic, complemented
130C2×#14273684C2211yescharacteristic, complemented
131C22×C22⋊Dic59C2212yescomplemented
132C22×(C2×D59)⋊C4C2212yescomplemented
133C22×(C2×D59)⋊C4C2212yescomplemented
134C2×C22⋊C4×D59C2212yescomplemented
135C2×C22⋊C4×D59C2212yescomplemented
136C2×C22⋊C4×D59C2212yescomplemented
137C23×D4×C59C2211yescharacteristic, complemented
138C23×D4×C59C2211yescharacteristic, complemented
139C23×D4×C59C2212yescomplemented
140D42×C59C22116yescomplemented
141C2×#127×C59C2211yescharacteristic, complemented
142C2×#121×C59C2211yescharacteristic, complemented
143C2×#121×C59C2212yescomplemented
144C2×#121×C59C2211yescharacteristic, complemented
145C2×#120×C59C2212yescomplemented
146C2×#120×C59C2212yescomplemented
147C2×C4×D4×C59C2211yescharacteristic, complemented
148C2×C4×D4×C59C2211yescharacteristic, complemented
149C24×D59—216no—
150C24×D59—48no—
151C24×D59—48no—
152C24×D59C2311yescharacteristic
153C24×D59C2312yes—
154C24×D59C2312yes—
155C24×D59C2312yes—
156C24×D59C2312yes—
157C24×D59C2312yes—
158C24×D59C23116yescomplemented
159C24×D59C2312yescomplemented
160#14273772—2128no—
161C2×#11745685—28no—
162C2×#11745685—28no—
163C2×#11745685C2318yescomplemented
164C2×#11745685C2318yescomplemented
165C2×#11745687—28no—
166C2×#11745687—216no—
167C2×#11745687—28no—
168C2×#11745687C2318yescomplemented
169C2×#11745687C23116yescomplemented
170C2×#11745687C2318yescomplemented
171C22×Dic118C2311yescharacteristic, complemented
172C22×Dic118C2311yescharacteristic, complemented
173C22×D236—28no—
174C22×D236C2311yescharacteristic
175C22×D236C2311yescharacteristic
176C22×D236C2312yes—
177C22×D236C2311yescharacteristic
178C22×D236C2311yescharacteristic
179C22×D236C2318yescomplemented
180C22×D236C2312yescomplemented
181C22×C22⋊D59—216no—
182C22×C22⋊D59—216no—
183C22×C22⋊D59—216no—
184C22×C22⋊D59—48no—
185C22×C22⋊D59C2311yescharacteristic
186C22×C22⋊D59C2312yes—
187C22×C22⋊D59C2312yes—
188C22×C22⋊D59C2312yes—
189C22×C22⋊D59C2312yes—
190C22×C22⋊D59C2311yescharacteristic
191C22×C22⋊D59C2312yes—
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2312yes—
194C22×C22⋊D59C23116yescomplemented
195C22×C22⋊D59C2312yescomplemented
196C22×C22⋊D59C2312yescomplemented
197C22×C22⋊D59C2312yescomplemented
198C22×C22⋊D59C2311yescharacteristic, complemented
199C22×C22⋊D59C2312yescomplemented
200C22×C22⋊D59C2312yescomplemented
201C22×C22⋊D59C2312yescomplemented
202C22×C22⋊D59C2312yescomplemented
203C22×C22⋊D59C23116yescomplemented
204C22×C22⋊D59C23116yescomplemented
205C22×C22⋊D59C23116yescomplemented
206C2×D4×D59—216no—
207C2×D4×D59—216no—
208C2×D4×D59—28no—
209C2×D4×D59—216no—
210C2×D4×D59—2128no—
211C2×D4×D59—28no—
212C2×D4×D59—28no—
213C2×D4×D59—28no—
214C2×D4×D59—48no—
215C2×D4×D59—48no—
216C2×D4×D59D4116yescomplemented
217C2×D4×D59C2318yes—
218C2×D4×D59C23116yescomplemented
219C2×D4×D59C2318yescomplemented
220C2×D4×D59C23116yescomplemented
221C2×D4×D59C2318yescomplemented
222C2×D4×D59C2318yescomplemented
223C2×D4×D59C23116yescomplemented
224C2×D4×D59C2318yescomplemented
225C2×D4×D59C23116yescomplemented
226C2×D4×D59C23116yescomplemented
227C23×Dic59C2311yescharacteristic
228C23×Dic59C2312yescomplemented
229C23×Dic59C2312yescomplemented
230C23×Dic59C2312yescomplemented
231C22×C4×D59—28no—
232C22×C4×D59C2311yescharacteristic
233C22×C4×D59C2311yescharacteristic
234C22×C4×D59C2311yescharacteristic
235C22×C4×D59C2311yescharacteristic
236C22×C4×D59C2318yescomplemented
237C22×C4×D59C2311yescharacteristic, complemented
238C22×C4×D59C2312yescomplemented
239C22×C4×D59C2312yescomplemented
240C22×C4×D59C2312yescomplemented
241#14273723C2318yescomplemented
242#14273723C23116yescomplemented
243#14273715C2318yescomplemented
244#14273714C2318yescomplemented
245#14273713C23116yescomplemented
246#14273712C2318yescomplemented
247#14273712C23116yescomplemented
248#14273711C23116yescomplemented
249#14273709C2318yescomplemented
250#14273709C23116yescomplemented
251#14273709C23116yescomplemented
252#14273708C23116yescomplemented
253#14273707C2318yescomplemented
254#14273706C2318yescomplemented
255#14273705C2318yescomplemented
256#14273704C2318yescomplemented
257#14273702C2318yescomplemented
258#14273701C2318yescomplemented
259#14273701C23116yescomplemented
260#14273700C2318yescomplemented
261#14273700C23116yescomplemented
262#14273700C23116yescomplemented
263#14273699C2318yescomplemented
264#14273699C23116yescomplemented
265#14273699C23116yescomplemented
266#14273699C23116yescomplemented
267#14273699C23116yescomplemented
268#14273698C2318yescomplemented
269#14273698C23116yescomplemented
270#14273698C23116yescomplemented
271#14273698C2318yescomplemented
272#14273697C2318yescomplemented
273#14273697C23116yescomplemented
274#14273697C23116yescomplemented
275#14273697C23116yescomplemented
276#14273696C23116yescomplemented
277#14273696C23116yescomplemented
278#14273695C2318yescomplemented
279#14273695C23116yescomplemented
280#14273695C23116yescomplemented
281#14273695C23116yescomplemented
282#14273695C23116yescomplemented
283#14273695C23116yescomplemented
284#14273695C23116yescomplemented
285#14273695C23116yescomplemented
286#14273695C23116yescomplemented
287#14273695C23116yescomplemented
288#14273695C23116yescomplemented
289C4×D236C2318yescomplemented
290C4×D236C2318yescomplemented
291D4×Dic59C23116yescomplemented
292D4×Dic59C2318yescomplemented
293#14273689C2318yescomplemented
294C4×C22⋊D59C2318yescomplemented
295C4×C22⋊D59C2318yescomplemented
296C4×C22⋊D59C23116yescomplemented
297(C22⋊D59)⋊C4C23116yescomplemented
298(C22⋊D59)⋊C4C23116yescomplemented
299#14273685C2318yescomplemented
300#14273684C2318yescomplemented
301C2×C4⋊Dic59C2311yescharacteristic, complemented
302C2×C4⋊Dic59C2311yescharacteristic, complemented
303C2×C4⋊Dic59C2312yescomplemented
304C2×Dic59⋊C4C2311yescharacteristic, complemented
305C2×Dic59⋊C4C2311yescharacteristic, complemented
306C2×Dic59⋊C4C2311yescharacteristic, complemented
307C2×Dic59⋊C4C2312yescomplemented
308C2×Dic59⋊C4C2311yescharacteristic, complemented
309C2×C22⋊Dic59C2312yes—
310C2×C22⋊Dic59C2311yescharacteristic
311C2×C22⋊Dic59C23116yescomplemented
312C2×C22⋊Dic59C2311yescharacteristic, complemented
313C2×C22⋊Dic59C2312yescomplemented
314C2×C22⋊Dic59C2312yescomplemented
315C2×C22⋊Dic59C2312yescomplemented
316C2×C22⋊Dic59C2312yescomplemented
317C2×C22⋊Dic59C2312yescomplemented
318C2×(C2×D59)⋊C4C2311yescharacteristic
319C2×(C2×D59)⋊C4C2312yes—
320C2×(C2×D59)⋊C4C2311yescharacteristic
321C2×(C2×D59)⋊C4C2312yes—
322C2×(C2×D59)⋊C4C2311yescharacteristic
323C2×(C2×D59)⋊C4C2311yescharacteristic
324C2×(C2×D59)⋊C4C23116yescomplemented
325C2×(C2×D59)⋊C4C23116yescomplemented
326C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
327C2×(C2×D59)⋊C4C2312yescomplemented
328C2×(C2×D59)⋊C4C2312yescomplemented
329C2×(C2×D59)⋊C4C2312yescomplemented
330C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
331C2×(C2×D59)⋊C4C2312yescomplemented
332C2×(C2×D59)⋊C4C2312yescomplemented
333C2×(C2×D59)⋊C4C2312yescomplemented
334C22⋊C4×D59C23116yescomplemented
335C22⋊C4×D59C23116yescomplemented
336C22⋊C4×D59C23116yescomplemented
337C2×C4×Dic59C2312yescomplemented
338C2×C4×Dic59C2311yescharacteristic, complemented
339C25×C59C2312yes—
340C25×C59C2312yescomplemented
341C22×D4×C59—28no—
342C22×D4×C59—28no—
343C22×D4×C59—48no—
344C22×D4×C59C2311yescharacteristic
345C22×D4×C59C2312yes—
346C22×D4×C59C2311yescharacteristic
347C22×D4×C59C2312yes—
348C22×D4×C59C2311yescharacteristic
349C22×D4×C59C2318yescomplemented
350C22×D4×C59C2311yescharacteristic, complemented
351C22×D4×C59C2312yescomplemented
352C22×D4×C59C2312yescomplemented
353C22×D4×C59C2312yescomplemented
354C22×D4×C59C2312yescomplemented
355C22×D4×C59C2318yescomplemented
356C22×D4×C59C23116yescomplemented
357C23×C4×C59C2311yescharacteristic
358C23×C4×C59C2311yescharacteristic, complemented
359C23×C4×C59C2312yescomplemented
360#127×C59C2318yescomplemented
361#121×C59C2318yescomplemented
362#121×C59C23116yescomplemented
363#121×C59C2318yescomplemented
364#120×C59C23116yescomplemented
365#120×C59C23116yescomplemented
366C4×D4×C59C2318yescomplemented
367C4×D4×C59C2318yescomplemented
368C2×C4⋊C4×C59C2311yescharacteristic, complemented
369C2×C4⋊C4×C59C2311yescharacteristic, complemented
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2312yescomplemented
372C2×C22⋊C4×C59C2312yescomplemented
373C2×C22⋊C4×C59C2312yescomplemented
374C2×C22⋊C4×C59C2311yescharacteristic, complemented
375C2×C42×C59C2311yescharacteristic, complemented
376C24×C59—28no—
377C24×C59—28no—
378C24×C59—28no—
379C24×C59—44no—
380C24×C59—44no—
381C24×C59—44no—
382C24×C59C2411yescharacteristic
383C24×C59C2412yes—
384C24×C59C2412yes—
385C24×C59C2418yes—
386C24×C59C2412yes—
387C24×C59C2411yescharacteristic
388C24×C59C2418yescomplemented
389C23×D59—24no—
390C23×D59—24no—
391C23×D59—24no—
392C23×D59—28no—
393C23×D59—28no—
394C23×D59—28no—
395C23×D59—28no—
396C23×D59—28no—
397C23×D59—264no—
398C23×D59—28no—
399C23×D59—28no—
400C23×D59—28no—
401C23×D59—432no—
402C23×D59—44no—
403C23×D59—44no—
404C23×D59—44no—
405C23×D59—44no—
406C23×D59—44no—
407C23×D59—44no—
408C23×D59—44no—
409C23×D59—432no—
410C23×D59—44no—
411C23×D59—44no—
412C23×D59—4128no—
413C23×D59C2×D4116yescomplemented
414C23×D59C2412yes—
415C23×D59C2411yescharacteristic
416C23×D59C2414yes—
417C23×D59C2418yes—
418C23×D59C2418yes—
419C23×D59C2418yes—
420C23×D59C2411yescharacteristic
421C23×D59C2412yes—
422C23×D59C2411yescharacteristic
423C23×D59C2418yes—
424C23×D59C2418yes—
425C23×D59C2418yescomplemented
426C2×D4×C59—28no—
427C2×D4×C59—28no—
428C2×D4×C59—24no—
429C2×D4×C59—28no—
430C2×D4×C59—232no—
431C2×D4×C59—232no—
432C2×D4×C59—24no—
433C2×D4×C59—24no—
434C2×D4×C59—44no—
435C2×D4×C59—44no—
436C2×D4×C59—44no—
437C2×D4×C59—432no—
438C2×D4×C59C2×D418yescomplemented
439C2×D4×C59C2414yes—
440C2×D4×C59C2418yes—
441C2×D4×C59C2418yes—
442C2×D4×C59C2414yes—
443C2×D4×C59C2414yes—
444C2×D4×C59C2418yescomplemented
445C2×D4×C59C2414yescomplemented
446C2×D4×C59C2418yescomplemented
447C2×D4×C59C2418yescomplemented
448C2×D4×C59C2418yescomplemented
449C22×C4×C59—24no—
450C22×C4×C59—24no—
451C22×C4×C59—44no—
452C22×C4×C59C2411yescharacteristic
453C22×C4×C59C2411yescharacteristic
454C22×C4×C59C2411yescharacteristic
455C22×C4×C59C2411yescharacteristic
456C22×C4×C59C2412yes—
457C22×C4×C59C2414yes—
458C22×C4×C59C2411yescharacteristic
459C22×C4×C59C2414yescomplemented
460C22×C4×C59C2418yescomplemented
461C2×C22⋊D59—28no—
462C2×C22⋊D59—28no—
463C2×C22⋊D59—24no—
464C2×C22⋊D59—28no—
465C2×C22⋊D59—28no—
466C2×C22⋊D59—28no—
467C2×C22⋊D59—24no—
468C2×C22⋊D59—28no—
469C2×C22⋊D59—264no—
470C2×C22⋊D59—28no—
471C2×C22⋊D59—24no—
472C2×C22⋊D59—264no—
473C2×C22⋊D59—264no—
474C2×C22⋊D59—28no—
475C2×C22⋊D59—24no—
476C2×C22⋊D59—44no—
477C2×C22⋊D59—44no—
478C2×C22⋊D59—44no—
479C2×C22⋊D59—44no—
480C2×C22⋊D59—432no—
481C2×C22⋊D59C2×D4116yescomplemented
482C2×C22⋊D59C2418yes—
483C2×C22⋊D59C2414yes—
484C2×C22⋊D59C2414yes—
485C2×C22⋊D59C2418yes—
486C2×C22⋊D59C2414yes—
487C2×C22⋊D59C2418yes—
488C2×C22⋊D59C2418yes—
489C2×C22⋊D59C2418yes—
490C2×C22⋊D59C2418yes—
491C2×C22⋊D59C2418yescomplemented
492C2×C22⋊D59C2418yescomplemented
493C2×C22⋊D59C2418yescomplemented
494C2×C22⋊D59C2414yescomplemented
495C2×C22⋊D59C2418yescomplemented
496C2×C22⋊D59C2418yescomplemented
497C2×C22⋊D59C2418yescomplemented
498C2×C22⋊D59C2418yescomplemented
499C22×Dic59—28no—
500C22×Dic59—24no—
501C22×Dic59—28no—
502C22×Dic59—44no—
503C22×Dic59C2411yescharacteristic
504C22×Dic59C2411yescharacteristic
505C22×Dic59C2412yes—
506C22×Dic59C2412yes—
507C22×Dic59C2411yescharacteristic
508C22×Dic59C2411yescharacteristic
509C22×Dic59C2414yes—
510C22×Dic59C2411yescharacteristic
511C22×Dic59C2418yescomplemented
512C22×Dic59C2418yescomplemented
513C22×Dic59C2418yescomplemented
514#11745687—232no—
515#11745687—264no—
516#11745687—232no—
517D4×D59—264no—
518D4×D59—264no—
519D4×D59—232no—
520D4×D59—264no—
521D4×D59—232no—
522D4×D59—232no—
523D4×D59—232no—
524D4×D59—432no—
525D4×D59—432no—
526D4×D59C2×D4164yescomplemented
527#11745685—232no—
528#11745685—232no—
529C2×D236—28no—
530C2×D236—24no—
531C2×D236—24no—
532C2×D236—24no—
533C2×D236—232no—
534C2×D236—44no—
535C2×D236C2×D418yescomplemented
536C2×D236C2414yes—
537C2×D236C2414yes—
538C2×D236C2418yes—
539C2×D236C2414yes—
540C2×D236C2414yes—
541C2×D236C2418yescomplemented
542C2×C4×D59—24no—
543C2×C4×D59—28no—
544C2×C4×D59—24no—
545C2×C4×D59—24no—
546C2×C4×D59—24no—
547C2×C4×D59—232no—
548C2×C4×D59—44no—
549C2×C4×D59—44no—
550C2×C4×D59C2×D418yescomplemented
551C2×C4×D59C2414yes—
552C2×C4×D59C2414yes—
553C2×C4×D59C2414yes—
554C2×C4×D59C2414yes—
555C2×C4×D59C2418yescomplemented
556C2×C4×D59C2414yescomplemented
557C2×C4×D59C2418yescomplemented
558C2×C4×D59C2418yescomplemented
559C2×Dic118—24no—
560C2×Dic118—24no—
561C2×Dic118C2414yescomplemented
562C2×Dic118C2414yescomplemented
563C4⋊C4×C59C2414yescomplemented
564C4⋊C4×C59C2414yescomplemented
565C22⋊C4×C59C2414yes—
566C22⋊C4×C59C2418yescomplemented
567C22⋊C4×C59C2414yescomplemented
568C22⋊C4×C59C2418yescomplemented
569C22⋊C4×C59C2418yescomplemented
570C42×C59C2414yescomplemented
571C22⋊Dic59C2418yes—
572C22⋊Dic59C2414yes—
573C22⋊Dic59C2418yescomplemented
574C22⋊Dic59C2418yescomplemented
575C22⋊Dic59C2418yescomplemented
576C22⋊Dic59C2418yescomplemented
577C22⋊Dic59C2414yescomplemented
578C22⋊Dic59C2418yescomplemented
579(C2×D59)⋊C4C2414yes—
580(C2×D59)⋊C4C2414yes—
581(C2×D59)⋊C4C2418yes—
582(C2×D59)⋊C4C2418yes—
583(C2×D59)⋊C4C2414yes—
584(C2×D59)⋊C4C2414yes—
585(C2×D59)⋊C4C2418yescomplemented
586(C2×D59)⋊C4C2418yescomplemented
587(C2×D59)⋊C4C2418yescomplemented
588(C2×D59)⋊C4C2418yescomplemented
589(C2×D59)⋊C4C2418yescomplemented
590(C2×D59)⋊C4C2418yescomplemented
591(C2×D59)⋊C4C2414yescomplemented
592(C2×D59)⋊C4C2414yescomplemented
593C4⋊Dic59C2414yescomplemented
594C4⋊Dic59C2418yescomplemented
595C4⋊Dic59C2414yescomplemented
596Dic59⋊C4C2414yescomplemented
597Dic59⋊C4C2414yescomplemented
598Dic59⋊C4C2418yescomplemented
599Dic59⋊C4C2414yescomplemented
600Dic59⋊C4C2414yescomplemented
601C4×Dic59C2414yescomplemented
602C4×Dic59C2418yescomplemented
603C23×C59—22no—
604C23×C59—24no—
605C23×C59—24no—
606C23×C59—22no—
607C23×C59—24no—
608C23×C59—22no—
609C23×C59—216no—
610C23×C59—24no—
611C23×C59—22no—
612C23×C59—24no—
613C23×C59—24no—
614C23×C59—24no—
615C23×C59—22no—
616C23×C59—24no—
617C23×C59—216no—
618C23×C59—216no—
619C23×C59—48no—
620C23×C59—48no—
621C23×C59—48no—
622C23×C59—432no—
623C23×C59—816no—
624C23×C59C22×D418yes—
625C23×C59H(5,𝔽2)14yescomplemented
626C23×C59C2514yes—
627C23×C59C2514yes—
628C23×C59C2512yes—
629C23×C59C2514yes—
630C23×C59C2512yes—
631C23×C59C2511yescharacteristic
632C22×D59—232no—
633C22×D59—22no—
634C22×D59—24no—
635C22×D59—24no—
636C22×D59—22no—
637C22×D59—22no—
638C22×D59—22no—
639C22×D59—28no—
640C22×D59—28no—
641C22×D59—28no—
642C22×D59—22no—
643C22×D59—24no—
644C22×D59—216no—
645C22×D59—22no—
646C22×D59—22no—
647C22×D59—24no—
648C22×D59—24no—
649C22×D59—216no—
650C22×D59—216no—
651C22×D59—216no—
652C22×D59—216no—
653C22×D59—216no—
654C22×D59—216no—
655C22×D59—216no—
656C22×D59—432no—
657C22×D59—48no—
658C22×D59—48no—
659C22×D59—48no—
660C22×D59—48no—
661C22×D59—48no—
662C22×D59—48no—
663C22×D59—48no—
664C22×D59—432no—
665C22×D59—48no—
666C22×D59—48no—
667C22×D59—432no—
668C22×D59—432no—
669C22×D59—4256no—
670C22×D59—432no—
671C22×D59—816no—
672C22×D59C22×D414yes—
673C22×D59C22×D418yes—
674C22×D59C22×D4132yescomplemented
675C22×D59H(5,𝔽2)14yescomplemented
676C22×D59C2514yes—
677C22×D59C2512yes—
678C22×D59C2512yes—
679C22×D59C2514yes—
680C22×D59C2512yes—
681D4×C59—216no—
682D4×C59—216no—
683D4×C59—216no—
684D4×C59—28no—
685D4×C59—28no—
686D4×C59—28no—
687D4×C59—48no—
688D4×C59—48no—
689D4×C59—48no—
690D4×C59C22×D4116yescomplemented
691C2×C4×C59—22no—
692C2×C4×C59—22no—
693C2×C4×C59—22no—
694C2×C4×C59—24no—
695C2×C4×C59—22no—
696C2×C4×C59—28no—
697C2×C4×C59—28no—
698C2×C4×C59—48no—
699C2×C4×C59C22×D414yes—
700C2×C4×C59C2514yes—
701C2×C4×C59C2512yes—
702C2×C4×C59C2512yes—
703C2×C4×C59C2512yes—
704C2×C4×C59C2512yes—
705C2×C4×C59C2512yes—
706C22⋊D59—216no—
707C22⋊D59—216no—
708C22⋊D59—28no—
709C22⋊D59—28no—
710C22⋊D59—216no—
711C22⋊D59—216no—
712C22⋊D59—216no—
713C22⋊D59—216no—
714C22⋊D59—216no—
715C22⋊D59—28no—
716C22⋊D59—28no—
717C22⋊D59—216no—
718C22⋊D59—48no—
719C22⋊D59—48no—
720C22⋊D59—48no—
721C22⋊D59—48no—
722C22⋊D59C22×D4132yescomplemented
723C2×Dic59—24no—
724C2×Dic59—22no—
725C2×Dic59—22no—
726C2×Dic59—216no—
727C2×Dic59—22no—
728C2×Dic59—24no—
729C2×Dic59—22no—
730C2×Dic59—28no—
731C2×Dic59—216no—
732C2×Dic59—48no—
733C2×Dic59C22×D414yes—
734C2×Dic59C2512yes—
735C2×Dic59C2512yes—
736C2×Dic59C2514yes—
737C2×Dic59C2512yes—
738C2×Dic59C2514yes—
739C2×Dic59C2512yes—
740C2×Dic59C2512yes—
741D236—216no—
742D236—28no—
743D236—28no—
744D236—28no—
745D236—48no—
746D236C22×D4116yescomplemented
747C4×D59—28no—
748C4×D59—216no—
749C4×D59—28no—
750C4×D59—28no—
751C4×D59—28no—
752C4×D59—48no—
753C4×D59—48no—
754C4×D59C22×D4116yescomplemented
755Dic118—28no—
756Dic118—28no—
757C2×#3484—591nomaximal, Sylow
758C22×C59—22no—
759C22×C59—24no—
760C22×C59—24no—
761C22×C59—22no—
762C22×C59—28no—
763C22×C59—216no—
764C22×C59—24no—
765C22×C59—22no—
766C22×C59—24no—
767C22×C59—22no—
768C22×C59—24no—
769C22×C59—24no—
770C22×C59—24no—
771C22×C59—22no—
772C22×C59—24no—
773C22×C59—432no—
774C22×C59—48no—
775C22×C59—48no—
776C22×C59—44no—
777C22×C59—816no—
778C22×C59C23×D418yes—
779C22×C59C23×D412yes—
780C22×C59C2×H(5,𝔽2)12yes—
781C22×C59C2×H(5,𝔽2)12yes—
782C22×C59C2×H(5,𝔽2)14yescomplemented
783C22×C59C2611yescharacteristic
784C2×D59—232no—
785C2×D59—22no—
786C2×D59—24no—
787C2×D59—24no—
788C2×D59—22no—
789C2×D59—22no—
790C2×D59—22no—
791C2×D59—28no—
792C2×D59—28no—
793C2×D59—216no—
794C2×D59—22no—
795C2×D59—24no—
796C2×D59—22no—
797C2×D59—22no—
798C2×D59—24no—
799C2×D59—24no—
800C2×D59—432no—
801C2×D59—432no—
802C2×D59—432no—
803C2×D59—432no—
804C2×D59—432no—
805C2×D59—48no—
806C2×D59—44no—
807C2×D59—816no—
808C2×D59C23×D414yes—
809C2×D59C23×D418yes—
810C2×D59C2×H(5,𝔽2)14yescomplemented
811C4×C59—22no—
812C4×C59—22no—
813C4×C59—22no—
814C4×C59—24no—
815C4×C59—22no—
816C4×C59C23×D414yes—
817Dic59—24no—
818Dic59—22no—
819Dic59—22no—
820Dic59—22no—
821Dic59—24no—
822Dic59—22no—
823Dic59C23×D414yes—
824C22×H(5,𝔽2)—591no—
825C24×D4—591no—
826#3484—5932no—
827C2×#546—591no—
828C2×#546—592no—
829C2×#546—591no—
830C2×#546—592no—
831C2×#546—591no—
832C2×#546—591no—
833C2×D42—591no—
834C2×D42—592no—
835C2×D42—591no—
836C2×D42—591no—
837C2×D42—592no—
838C2×D42D5911yescharacteristic, complemented
839C2×#535—591no—
840C2×#535—591no—
841C2×#534—592no—
842C2×#534—592no—
843C2×#525—591no—
844C2×#525—591no—
845C22×#120—592no—
846C22×#120—592no—
847C2×#518—591no—
848C2×C59—24no—
849C2×C59—28no—
850C2×C59—44no—
851C2×C59—44no—
852C2×C59—42no—
853C2×C59#348414yescomplemented
854C2×C59C24×D411yescharacteristic
855C2×C59C22×H(5,𝔽2)11yescharacteristic
856C2×C59C22×H(5,𝔽2)11yescharacteristic
857D59—24no—
858D59—24no—
859D59—28no—
860D59—44no—
861D59—42no—
862C26—592no—
863C2×H(5,𝔽2)—5916no—
864C2×H(5,𝔽2)—11816no—
865C22×#41—591no—
866C22×#41—591no—
867C22×#41—592no—
868C22×#41—591no—
869C22×#41—591no—
870C23×D4—591no—
871C23×D4—592no—
872C23×D4—592no—
873C23×D4—592no—
874C23×D4—592no—
875C23×D4—592no—
876C23×D4—591no—
877C23×D4—592no—
878C23×D4—591no—
879C23×D4—591no—
880C23×D4—5916no—
881C23×D4—592no—
882C23×D4—591no—
883C23×D4—592no—
884C23×D4—592no—
885C23×D4—591no—
886C23×D4—11816no—
887C23×D4C2×D5911yescharacteristic, complemented
888C23×D4C2×D5911yescharacteristic, complemented
889C23×D4C2×D5912yescomplemented
890C24×C4—591no—
891#546—5916no—
892#546—5932no—
893#546—5916no—
894#546—5932no—
895#546—5916no—
896#546—5916no—
897D42—5916no—
898D42—5932no—
899D42—5916no—
900D42—5916no—
901D42—5932no—
902D42C2×D59116yescomplemented
903#535—5916no—
904#535—5916no—
905#534—5932no—
906#534—5932no—
907C2×#127—592no—
908C2×#127—591no—
909C2×#127C2×D5911yescharacteristic, complemented
910C2×#124—591no—
911C2×#124—592no—
912C2×#124—591no—
913#525—5916no—
914#525—5916no—
915C2×#123—592no—
916C2×#123—591no—
917C2×#123—592no—
918C2×#123—592no—
919C2×#123—591no—
920C2×#123—592no—
921C2×#123—592no—
922C2×C22⋊Q8—591no—
923C2×C22⋊Q8—591no—
924C2×C22⋊Q8—591no—
925C2×C22⋊Q8—591no—
926C2×#121—591no—
927C2×#121—591no—
928C2×#121—592no—
929C2×#121—591no—
930C2×#121—592no—
931C2×#121—592no—
932C2×#121—592no—
933C2×#121—592no—
934C2×#121—592no—
935C2×#121—592no—
936C2×#121—591no—
937C2×#121—591no—
938C2×#121—591no—
939C2×#121—592no—
940C2×#121—592no—
941C2×#121C2×D5911yescharacteristic, complemented
942C2×#121C2×D5912yescomplemented
943C2×#121C2×D5911yescharacteristic, complemented
944C2×#120—592no—
945C2×#120—592no—
946C2×#120—592no—
947C2×#120—591no—
948C2×#120—592no—
949C2×#120—592no—
950C2×#120—592no—
951C2×#120—592no—
952C2×#120—592no—
953C2×#120—592no—
954C2×#120—592no—
955C2×#120—592no—
956C2×#120—5932no—
957C2×#120—592no—
958C2×#120—5932no—
959C2×#120—591no—
960C2×#120—592no—
961C2×#120—592no—
962C2×#120—592no—
963C2×#120C2×D5912yescomplemented
964C2×#120C2×D5912yescomplemented
965#518—5916no—
966C2×C4×D4—591no—
967C2×C4×D4—592no—
968C2×C4×D4—591no—
969C2×C4×D4—592no—
970C2×C4×D4—591no—
971C2×C4×D4—591no—
972C2×C4×D4—592no—
973C2×C4×D4—592no—
974C2×C4×D4—591no—
975C2×C4×D4—591no—
976C2×C4×D4C2×D5911yescharacteristic, complemented
977C2×C4×D4C2×D5911yescharacteristic, complemented
978C2×#117—591no—
979C2×#117—591no—
980C22×C22⋊C4—592no—
981C22×C22⋊C4—592no—
982C22×C22⋊C4—592no—
983C22×C22⋊C4—592no—
984C22×C22⋊C4—592no—
985C22×C22⋊C4—592no—
986C59C2×#348411yescharacteristic, complemented, Sylow
987C25—592no—
988C25—591no—
989C25—592no—
990C25—592no—
991C25—592no—
992C25—592no—
993C25—5916no—
994C25—592no—
995C25—11816no—
996C25—2368no—
997C25—2368no—
998C25C22×D5912yes—
999C25C22×D5912yescomplemented
1000H(5,𝔽2)—118128no—
1001C2×#41—598no—
1002C2×#41—598no—
1003C2×#41—5916no—
1004C2×#41—598no—
1005C2×#41—598no—
1006C2×#41—1188no—
1007C2×#41—1188no—
1008C2×#41—1188no—
1009C2×#41—11816no—
1010C2×#41—1188no—
1011C22×Q8—591no—
1012C22×Q8—591no—
1013C22×D4—28no—
1014C22×D4—28no—
1015C22×D4—48no—
1016C22×D4—592no—
1017C22×D4—5916no—
1018C22×D4—598no—
1019C22×D4—592no—
1020C22×D4—591no—
1021C22×D4—591no—
1022C22×D4—592no—
1023C22×D4—591no—
1024C22×D4—592no—
1025C22×D4—592no—
1026C22×D4—592no—
1027C22×D4—592no—
1028C22×D4—592no—
1029C22×D4—592no—
1030C22×D4—591no—
1031C22×D4—5916no—
1032C22×D4—5916no—
1033C22×D4—5916no—
1034C22×D4—592no—
1035C22×D4—592no—
1036C22×D4—592no—
1037C22×D4—592no—
1038C22×D4—5916no—
1039C22×D4—5916no—
1040C22×D4—598no—
1041C22×D4—5916no—
1042C22×D4—598no—
1043C22×D4—598no—
1044C22×D4—5916no—
1045C22×D4—598no—
1046C22×D4—5916no—
1047C22×D4—5916no—
1048C22×D4—591no—
1049C22×D4—591no—
1050C22×D4—591no—
1051C22×D4—592no—
1052C22×D4—591no—
1053C22×D4—598no—
1054C22×D4—592no—
1055C22×D4—1188no—
1056C22×D4—1188no—
1057C22×D4—11816no—
1058C22×D4—118128no—
1059C22×D4—1188no—
1060C22×D4—1188no—
1061C22×D4—11816no—
1062C22×D4—11816no—
1063C22×D4—11816no—
1064C22×D4—11816no—
1065C22×D4—11816no—
1066C22×D4—1188no—
1067C22×D4—2368no—
1068C22×D4—2368no—
1069C22×D4—2368no—
1070C22×D4C22×D5912yes—
1071C22×D4C22×D5911yescharacteristic
1072C22×D4C22×D5912yes—
1073C22×D4C22×D5911yescharacteristic
1074C22×D4C22×D5911yescharacteristic
1075C22×D4C22×D5918yescomplemented
1076C22×D4C22×D5912yescomplemented
1077C22×D4C22×D5911yescharacteristic, complemented
1078C22×D4C22×D5912yescomplemented
1079C22×D4C22×D5912yescomplemented
1080C22×D4C22×D5912yescomplemented
1081C22×D4C22×D5918yescomplemented
1082C22×D4C22×D59116yescomplemented
1083C23×C4—591no—
1084C23×C4—592no—
1085C23×C4—592no—
1086C23×C4—591no—
1087C23×C4—592no—
1088C23×C4—592no—
1089C23×C4—591no—
1090C23×C4—591no—
1091C23×C4—591no—
1092C23×C4—591no—
1093C23×C4—598no—
1094C23×C4—592no—
1095C23×C4—592no—
1096C23×C4—1188no—
1097C23×C4C22×D5911yescharacteristic
1098C23×C4C22×D5911yescharacteristic, complemented
1099C23×C4C22×D5912yescomplemented
1100#127—5916no—
1101#127—598no—
1102#127C22×D5918yescomplemented
1103#124—598no—
1104#124—5916no—
1105#124—598no—
1106#123—5916no—
1107#123—598no—
1108#123—5916no—
1109#123—5916no—
1110#123—598no—
1111#123—5916no—
1112#123—5916no—
1113C22⋊Q8—598no—
1114C22⋊Q8—598no—
1115C22⋊Q8—598no—
1116C22⋊Q8—598no—
1117#121—598no—
1118#121—5916no—
1119#121—598no—
1120#121—598no—
1121#121—5916no—
1122#121—5916no—
1123#121—5916no—
1124#121—5916no—
1125#121—5916no—
1126#121—5916no—
1127#121—598no—
1128#121—598no—
1129#121—598no—
1130#121—5916no—
1131#121—5916no—
1132#121C22×D5918yescomplemented
1133#121C22×D59116yescomplemented
1134#121C22×D5918yescomplemented
1135#120—5916no—
1136#120—5916no—
1137#120—5916no—
1138#120—598no—
1139#120—5916no—
1140#120—5916no—
1141#120—5916no—
1142#120—5916no—
1143#120—5916no—
1144#120—5916no—
1145#120—5916no—
1146#120—5916no—
1147#120—5916no—
1148#120—598no—
1149#120—5916no—
1150#120—5916no—
1151#120—5916no—
1152#120C22×D59116yescomplemented
1153#120C22×D59116yescomplemented
1154C4×D4—598no—
1155C4×D4—5916no—
1156C4×D4—598no—
1157C4×D4—5916no—
1158C4×D4—598no—
1159C4×D4—598no—
1160C4×D4—5916no—
1161C4×D4—5916no—
1162C4×D4—598no—
1163C4×D4—598no—
1164C4×D4C22×D5918yescomplemented
1165C4×D4C22×D5918yescomplemented
1166#117—598no—
1167#117—598no—
1168C2×C4⋊C4—591no—
1169C2×C4⋊C4—591no—
1170C2×C4⋊C4—591no—
1171C2×C4⋊C4—591no—
1172C2×C4⋊C4—592no—
1173C2×C4⋊C4—591no—
1174C2×C4⋊C4—592no—
1175C2×C4⋊C4—591no—
1176C2×C4⋊C4C22×D5911yescharacteristic, complemented
1177C2×C4⋊C4C22×D5911yescharacteristic, complemented
1178C2×C22⋊C4—591no—
1179C2×C22⋊C4—592no—
1180C2×C22⋊C4—592no—
1181C2×C22⋊C4—592no—
1182C2×C22⋊C4—592no—
1183C2×C22⋊C4—592no—
1184C2×C22⋊C4—5916no—
1185C2×C22⋊C4—592no—
1186C2×C22⋊C4—591no—
1187C2×C22⋊C4—592no—
1188C2×C22⋊C4—591no—
1189C2×C22⋊C4—591no—
1190C2×C22⋊C4—591no—
1191C2×C22⋊C4—592no—
1192C2×C22⋊C4—591no—
1193C2×C22⋊C4—592no—
1194C2×C22⋊C4—592no—
1195C2×C22⋊C4—592no—
1196C2×C22⋊C4—592no—
1197C2×C22⋊C4—592no—
1198C2×C22⋊C4—592no—
1199C2×C22⋊C4—591no—
1200C2×C22⋊C4—591no—
1201C2×C22⋊C4—5916no—
1202C2×C22⋊C4—5916no—
1203C2×C22⋊C4—5916no—
1204C2×C22⋊C4—5916no—
1205C2×C22⋊C4—5916no—
1206C2×C22⋊C4C22×D5911yescharacteristic
1207C2×C22⋊C4C22×D5912yescomplemented
1208C2×C22⋊C4C22×D5912yescomplemented
1209C2×C22⋊C4C22×D5912yescomplemented
1210C2×C22⋊C4C22×D5911yescharacteristic, complemented
1211C2×C42—592no—
1212C2×C42—591no—
1213C2×C42C22×D5911yescharacteristic, complemented
1214C24—28no—
1215C24—28no—
1216C24—28no—
1217C24—44no—
1218C24—44no—
1219C24—44no—
1220C24—591no—
1221C24—591no—
1222C24—592no—
1223C24—5916no—
1224C24—598no—
1225C24—594no—
1226C24—592no—
1227C24—591no—
1228C24—598no—
1229C24—598no—
1230C24—598no—
1231C24—598no—
1232C24—598no—
1233C24—1184no—
1234C24—1184no—
1235C24—1188no—
1236C24—1188no—
1237C24—1188no—
1238C24—1188no—
1239C24—11864no—
1240C24—1188no—
1241C24—1188no—
1242C24—1184no—
1243C24—1188no—
1244C24—1188no—
1245C24—2364no—
1246C24—2364no—
1247C24—2364no—
1248C24—2364no—
1249C24—2364no—
1250C24—2364no—
1251C24—2364no—
1252C24—2364no—
1253C24—2364no—
1254C24—23632no—
1255C24—23632no—
1256C24—236128no—
1257C24C23×D5912yes—
1258C24C23×D5912yes—
1259C24C23×D5911yescharacteristic
1260C24C23×D5918yes—
1261C24C23×D5912yes—
1262C24C23×D5911yescharacteristic
1263C24C23×D5918yescomplemented
1264#41—11832no—
1265#41—11832no—
1266#41—11832no—
1267#41—11864no—
1268#41—11832no—
1269C2×Q8—594no—
1270C2×Q8—594no—
1271C2×Q8—1184no—
1272C2×Q8—1184no—
1273C2×D4—28no—
1274C2×D4—28no—
1275C2×D4—24no—
1276C2×D4—28no—
1277C2×D4—232no—
1278C2×D4—232no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—432no—
1285C2×D4—5916no—
1286C2×D4—598no—
1287C2×D4—5964no—
1288C2×D4—598no—
1289C2×D4—594no—
1290C2×D4—594no—
1291C2×D4—598no—
1292C2×D4—594no—
1293C2×D4—598no—
1294C2×D4—598no—
1295C2×D4—598no—
1296C2×D4—598no—
1297C2×D4—598no—
1298C2×D4—598no—
1299C2×D4—594no—
1300C2×D4—598no—
1301C2×D4—598no—
1302C2×D4—598no—
1303C2×D4—598no—
1304C2×D4—598no—
1305C2×D4—594no—
1306C2×D4—594no—
1307C2×D4—594no—
1308C2×D4—598no—
1309C2×D4—594no—
1310C2×D4—598no—
1311C2×D4—11832no—
1312C2×D4—1188no—
1313C2×D4—1184no—
1314C2×D4—1184no—
1315C2×D4—11832no—
1316C2×D4—1188no—
1317C2×D4—1184no—
1318C2×D4—11864no—
1319C2×D4—11832no—
1320C2×D4—11832no—
1321C2×D4—11864no—
1322C2×D4—11864no—
1323C2×D4—11864no—
1324C2×D4—11864no—
1325C2×D4—1188no—
1326C2×D4—1184no—
1327C2×D4—1188no—
1328C2×D4—1188no—
1329C2×D4—1188no—
1330C2×D4—11864no—
1331C2×D4—1188no—
1332C2×D4—1184no—
1333C2×D4—1188no—
1334C2×D4—1188no—
1335C2×D4—1184no—
1336C2×D4—11832no—
1337C2×D4—1184no—
1338C2×D4—2364no—
1339C2×D4—2364no—
1340C2×D4—2364no—
1341C2×D4—2364no—
1342C2×D4—2364no—
1343C2×D4—23632no—
1344C2×D4—23632no—
1345C2×D4—23632no—
1346C2×D4D4×D5918yescomplemented
1347C2×D4C23×D5918yes—
1348C2×D4C23×D5914yes—
1349C2×D4C23×D5918yes—
1350C2×D4C23×D5914yes—
1351C2×D4C23×D5914yes—
1352C2×D4C23×D5918yescomplemented
1353C2×D4C23×D5914yescomplemented
1354C2×D4C23×D5918yescomplemented
1355C2×D4C23×D5918yescomplemented
1356C2×D4C23×D5918yescomplemented
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—44no—
1360C22×C4—591no—
1361C22×C4—598no—
1362C22×C4—594no—
1363C22×C4—598no—
1364C22×C4—598no—
1365C22×C4—594no—
1366C22×C4—592no—
1367C22×C4—591no—
1368C22×C4—591no—
1369C22×C4—591no—
1370C22×C4—592no—
1371C22×C4—591no—
1372C22×C4—598no—
1373C22×C4—598no—
1374C22×C4—594no—
1375C22×C4—594no—
1376C22×C4—594no—
1377C22×C4—594no—
1378C22×C4—598no—
1379C22×C4—598no—
1380C22×C4—1184no—
1381C22×C4—11832no—
1382C22×C4—1184no—
1383C22×C4—1188no—
1384C22×C4—1184no—
1385C22×C4—1188no—
1386C22×C4—1188no—
1387C22×C4—1184no—
1388C22×C4—1184no—
1389C22×C4—2364no—
1390C22×C4—2364no—
1391C22×C4—2364no—
1392C22×C4C23×D5914yes—
1393C22×C4C23×D5912yes—
1394C22×C4C23×D5911yescharacteristic
1395C22×C4C23×D5911yescharacteristic
1396C22×C4C23×D5911yescharacteristic
1397C22×C4C23×D5911yescharacteristic
1398C22×C4C23×D5911yescharacteristic
1399C22×C4C23×D5914yescomplemented
1400C22×C4C23×D5918yescomplemented
1401C4⋊C4—594no—
1402C4⋊C4—594no—
1403C4⋊C4—594no—
1404C4⋊C4—594no—
1405C4⋊C4—598no—
1406C4⋊C4—594no—
1407C4⋊C4—598no—
1408C4⋊C4—594no—
1409C4⋊C4C23×D5914yescomplemented
1410C4⋊C4C23×D5914yescomplemented
1411C22⋊C4—594no—
1412C22⋊C4—598no—
1413C22⋊C4—598no—
1414C22⋊C4—598no—
1415C22⋊C4—598no—
1416C22⋊C4—598no—
1417C22⋊C4—598no—
1418C22⋊C4—594no—
1419C22⋊C4—598no—
1420C22⋊C4—594no—
1421C22⋊C4—594no—
1422C22⋊C4—594no—
1423C22⋊C4—598no—
1424C22⋊C4—594no—
1425C22⋊C4—598no—
1426C22⋊C4—598no—
1427C22⋊C4—598no—
1428C22⋊C4—598no—
1429C22⋊C4—598no—
1430C22⋊C4—598no—
1431C22⋊C4—594no—
1432C22⋊C4—594no—
1433C22⋊C4C23×D5914yes—
1434C22⋊C4C23×D5918yescomplemented
1435C22⋊C4C23×D5918yescomplemented
1436C22⋊C4C23×D5918yescomplemented
1437C22⋊C4C23×D5914yescomplemented
1438C42—598no—
1439C42—594no—
1440C42C23×D5914yescomplemented
1441C23—22no—
1442C23—24no—
1443C23—22no—
1444C23—24no—
1445C23—22no—
1446C23—24no—
1447C23—216no—
1448C23—24no—
1449C23—24no—
1450C23—24no—
1451C23—22no—
1452C23—22no—
1453C23—24no—
1454C23—24no—
1455C23—216no—
1456C23—216no—
1457C23—48no—
1458C23—48no—
1459C23—48no—
1460C23—432no—
1461C23—816no—
1462C23—594no—
1463C23—598no—
1464C23—594no—
1465C23—592no—
1466C23—592no—
1467C23—594no—
1468C23—5932no—
1469C23—594no—
1470C23—592no—
1471C23—1188no—
1472C23—1188no—
1473C23—11816no—
1474C23—11816no—
1475C23—11816no—
1476C23—11816no—
1477C23—11816no—
1478C23—11816no—
1479C23—11832no—
1480C23—1182no—
1481C23—1184no—
1482C23—1182no—
1483C23—1184no—
1484C23—1182no—
1485C23—1182no—
1486C23—1188no—
1487C23—1182no—
1488C23—11816no—
1489C23—1184no—
1490C23—1182no—
1491C23—1184no—
1492C23—1182no—
1493C23—1184no—
1494C23—11816no—
1495C23—47216no—
1496C23—2368no—
1497C23—2368no—
1498C23—23632no—
1499C23—2368no—
1500C23—2368no—
1501C23—2368no—
1502C23—2368no—
1503C23—2368no—
1504C23—2368no—
1505C23—2368no—
1506C23—23632no—
1507C23—23632no—
1508C23—23632no—
1509C23—236256no—
1510C23—23632no—
1511C23C2×D4×D5918yes—
1512C23#1427377214yescomplemented
1513C23C24×D5914yes—
1514C23C24×D5914yes—
1515C23C24×D5912yes—
1516C23C24×D5914yes—
1517C23C24×D5912yes—
1518C23C24×D5911yescharacteristic
1519Q8—1188no—
1520Q8—1188no—
1521D4—216no—
1522D4—216no—
1523D4—28no—
1524D4—216no—
1525D4—28no—
1526D4—28no—
1527D4—48no—
1528D4—48no—
1529D4—48no—
1530D4—5932no—
1531D4—5916no—
1532D4—11816no—
1533D4—1188no—
1534D4—1188no—
1535D4—11816no—
1536D4—1188no—
1537D4—11816no—
1538D4—1188no—
1539D4—11816no—
1540D4—11816no—
1541D4—11816no—
1542D4—11816no—
1543D4—1188no—
1544D4—11816no—
1545D4—11816no—
1546D4—1188no—
1547D4—1188no—
1548D4—2368no—
1549D4—2368no—
1550D4—2368no—
1551D4—2368no—
1552D4—2368no—
1553D4C2×D4×D59116yescomplemented
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—28no—
1560C2×C4—28no—
1561C2×C4—48no—
1562C2×C4—594no—
1563C2×C4—592no—
1564C2×C4—5916no—
1565C2×C4—592no—
1566C2×C4—594no—
1567C2×C4—592no—
1568C2×C4—592no—
1569C2×C4—594no—
1570C2×C4—592no—
1571C2×C4—1188no—
1572C2×C4—1188no—
1573C2×C4—11816no—
1574C2×C4—1188no—
1575C2×C4—11816no—
1576C2×C4—1182no—
1577C2×C4—1184no—
1578C2×C4—1182no—
1579C2×C4—11816no—
1580C2×C4—1184no—
1581C2×C4—1182no—
1582C2×C4—1182no—
1583C2×C4—1188no—
1584C2×C4—1188no—
1585C2×C4—2368no—
1586C2×C4—2368no—
1587C2×C4—2368no—
1588C2×C4C2×D4×D5914yes—
1589C2×C4C24×D5914yes—
1590C2×C4C24×D5912yes—
1591C2×C4C24×D5912yes—
1592C2×C4C24×D5912yes—
1593C2×C4C24×D5912yes—
1594C2×C4C24×D5912yes—
1595C22—28no—
1596C22—216no—
1597C22—22no—
1598C22—24no—
1599C22—22no—
1600C22—24no—
1601C22—22no—
1602C22—24no—
1603C22—24no—
1604C22—24no—
1605C22—24no—
1606C22—22no—
1607C22—22no—
1608C22—24no—
1609C22—24no—
1610C22—432no—
1611C22—48no—
1612C22—44no—
1613C22—48no—
1614C22—816no—
1615C22—594no—
1616C22—598no—
1617C22—594no—
1618C22—11832no—
1619C22—1188no—
1620C22—1188no—
1621C22—11816no—
1622C22—1182no—
1623C22—1184no—
1624C22—1182no—
1625C22—1184no—
1626C22—1182no—
1627C22—1182no—
1628C22—1182no—
1629C22—1184no—
1630C22—1182no—
1631C22—1184no—
1632C22—1182no—
1633C22—1184no—
1634C22—47216no—
1635C22—23632no—
1636C22—23632no—
1637C22—23632no—
1638C22—23632no—
1639C22—23632no—
1640C22—2364no—
1641C22—2368no—
1642C22C22×D4×D5918yes—
1643C22C22×D4×D5912yes—
1644C22H(5,𝔽2)×D5912yes—
1645C22C2×#1427377212yes—
1646C22C2×#1427377214yescomplemented
1647C22C25×D5911yescharacteristic
1648C4—22no—
1649C4—22no—
1650C4—22no—
1651C4—22no—
1652C4—24no—
1653C4—594no—
1654C4—1182no—
1655C4—1184no—
1656C4—1182no—
1657C4—1184no—
1658C4—1182no—
1659C4—1182no—
1660C4C22×D4×D5914yes—
1661C2—24no—
1662C2—28no—
1663C2—44no—
1664C2—42no—
1665C2—44no—
1666C2—1184no—
1667C2—1184no—
1668C2—1188no—
1669C2—2362no—
1670C2—2364no—
1671C2#2143772414yesdirect product factor
1672C2C23×D4×D5911yescharacteristic
1673C2C2×H(5,𝔽2)×D5911yescharacteristic
1674C2C22×#1427377211yescharacteristic
subgroupG/H
centerC23C24×D59
commutator, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×D42×C59C2
socleC23×C59C25
hypercenterC2×D42D59
hypocenterC59C2×#3484
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×D42

Complements

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

NH ≅ G/Ntype
1. C22×#14273772C2semidirect
2. C23×D4×D59C2semidirect
3. #21437724C2direct (N × H)
4. C2×#16838049C2semidirect
5. C2×#16838048C2semidirect
6. C2×#16838047C2semidirect
7. C2×#16838046C2semidirect
8. C2×#16838041C2semidirect
9. C2×#16838039C2semidirect
10. C2×#16838037C2semidirect
11. C2×#16838036C2semidirect
12. C2×D4×C22⋊D59C2semidirect
13. C2×D4×C22⋊D59C2semidirect
14. C2×#16838034C2semidirect
15. C2×#16837968C2semidirect
16. C2×#16837965C2semidirect
17. C2×#16837962C2semidirect
18. C2×#16837960C2semidirect
19. C2×#16837912C2semidirect
20. C2×#16837911C2semidirect
21. C22×#14273695C2semidirect
22. C2×#120×D59C2semidirect
23. C2×#16837874C2semidirect
24. C2×D42×C59C2semidirect
25. C25×D59C22semidirect
27. C2×#14273772C22semidirect
28. C22×#11745685C22semidirect
29. C22×#11745685C22semidirect
30. C22×#11745687C22semidirect
31. C22×#11745687C22semidirect
32. C22×#11745687C22semidirect
33. C23×D236C22semidirect
34. C23×C22⋊D59C22semidirect
35. C23×C22⋊D59C22semidirect
36. C23×C22⋊D59C22semidirect
37. C23×C22⋊D59C22semidirect
40. C22×D4×D59C22semidirect
41. C22×D4×D59C22semidirect
42. C22×D4×D59C22semidirect
43. C22×D4×D59C22semidirect
44. C22×D4×D59C22semidirect
45. C22×D4×D59C22semidirect
46. C22×D4×D59C22semidirect
47. C22×D4×D59C22semidirect
48. C22×D4×D59C22semidirect
49. C22×D4×D59C22semidirect
50. C23×C4×D59C22semidirect
51. #16838049C22semidirect
52. #16838048C22semidirect
53. #16838047C22semidirect
54. #16838046C22semidirect
55. #16838041C22semidirect
56. #16838039C22semidirect
57. #16838037C22semidirect
58. #16838036C22semidirect
59. D4×C22⋊D59C22semidirect
60. D4×C22⋊D59C22semidirect
61. #16838034C22semidirect
62. #16837968C22semidirect
63. #16837965C22semidirect
64. #16837962C22semidirect
65. #16837960C22semidirect
66. C2×#14273723C22semidirect
67. C2×#14273723C22semidirect
68. C2×#14273715C22semidirect
69. C2×#14273714C22semidirect
70. C2×#14273713C22semidirect
71. #16837912C22semidirect
72. #16837911C22semidirect
73. C2×#14273712C22semidirect
74. C2×#14273712C22semidirect
75. C2×#14273711C22semidirect
76. C2×#14273709C22semidirect
77. C2×#14273709C22semidirect
78. C2×#14273709C22semidirect
79. C2×#14273708C22semidirect
80. C2×#14273707C22semidirect
81. C2×#14273706C22semidirect
82. C2×#14273705C22semidirect
83. C2×#14273704C22semidirect
84. C2×#14273702C22semidirect
85. C2×#14273701C22semidirect
86. C2×#14273701C22semidirect
87. C2×#14273700C22semidirect
88. C2×#14273700C22semidirect
89. C2×#14273700C22semidirect
90. C2×#14273699C22semidirect
91. C2×#14273699C22semidirect
92. C2×#14273699C22semidirect
93. C2×#14273699C22semidirect
94. C2×#14273699C22semidirect
95. C2×#14273698C22semidirect
96. C2×#14273698C22semidirect
97. C2×#14273698C22semidirect
98. C2×#14273698C22semidirect
99. C2×#14273697C22semidirect
100. C2×#14273697C22semidirect
101. C2×#14273697C22semidirect
102. C2×#14273697C22semidirect
103. C2×#14273696C22semidirect
104. C2×#14273696C22semidirect
105. C2×#14273695C22semidirect
106. C2×#14273695C22semidirect
107. C2×#14273695C22semidirect
108. C2×#14273695C22semidirect
109. C2×#14273695C22semidirect
110. C2×#14273695C22semidirect
111. C2×#14273695C22semidirect
112. C2×#14273695C22semidirect
113. C2×#14273695C22semidirect
114. C2×#14273695C22semidirect
115. C2×#14273695C22semidirect
116. C2×#14273695C22semidirect
117. #120×D59C22semidirect
118. #16837874C22semidirect
119. C2×C4×D236C22semidirect
120. C2×C4×D236C22semidirect
121. C2×D4×Dic59C22semidirect
122. C2×D4×Dic59C22semidirect
123. C2×#14273689C22semidirect
124. C2×C4×C22⋊D59C22semidirect
125. C2×C4×C22⋊D59C22semidirect
126. C2×C4×C22⋊D59C22semidirect
127. C2×(C22⋊D59)⋊C4C22semidirect
128. C2×(C22⋊D59)⋊C4C22semidirect
129. C2×#14273685C22semidirect
130. C2×#14273684C22semidirect
131. C22×C22⋊Dic59C22semidirect
132. C22×(C2×D59)⋊C4C22semidirect
133. C22×(C2×D59)⋊C4C22semidirect
134. C2×C22⋊C4×D59C22semidirect
135. C2×C22⋊C4×D59C22semidirect
136. C2×C22⋊C4×D59C22semidirect
137. C23×D4×C59C22semidirect
138. C23×D4×C59C22semidirect
139. C23×D4×C59C22semidirect
140. D42×C59C22semidirect
141. C2×#127×C59C22semidirect
142. C2×#121×C59C22semidirect
143. C2×#121×C59C22semidirect
144. C2×#121×C59C22semidirect
145. C2×#120×C59C22semidirect
146. C2×#120×C59C22semidirect
147. C2×C4×D4×C59C22semidirect
148. C2×C4×D4×C59C22semidirect
158. C24×D59C23semidirect
159. C24×D59C23semidirect
163. C2×#11745685C23semidirect
164. C2×#11745685C23semidirect
168. C2×#11745687C23semidirect
169. C2×#11745687C23semidirect
170. C2×#11745687C23semidirect
171. C22×Dic118C23semidirect
172. C22×Dic118C23semidirect
179. C22×D236C23semidirect
180. C22×D236C23semidirect
194. C22×C22⋊D59C23semidirect
195. C22×C22⋊D59C23semidirect
196. C22×C22⋊D59C23semidirect
197. C22×C22⋊D59C23semidirect
198. C22×C22⋊D59C23semidirect
199. C22×C22⋊D59C23semidirect
200. C22×C22⋊D59C23semidirect
201. C22×C22⋊D59C23semidirect
202. C22×C22⋊D59C23semidirect
203. C22×C22⋊D59C23semidirect
204. C22×C22⋊D59C23semidirect
205. C22×C22⋊D59C23semidirect
216. C2×D4×D59D4semidirect
218. C2×D4×D59C23semidirect
219. C2×D4×D59C23semidirect
220. C2×D4×D59C23semidirect
221. C2×D4×D59C23semidirect
222. C2×D4×D59C23semidirect
223. C2×D4×D59C23semidirect
224. C2×D4×D59C23semidirect
225. C2×D4×D59C23semidirect
226. C2×D4×D59C23semidirect
228. C23×Dic59C23semidirect
229. C23×Dic59C23semidirect
230. C23×Dic59C23semidirect
236. C22×C4×D59C23semidirect
237. C22×C4×D59C23semidirect
238. C22×C4×D59C23semidirect
239. C22×C4×D59C23semidirect
240. C22×C4×D59C23semidirect
241. #14273723C23semidirect
242. #14273723C23semidirect
243. #14273715C23semidirect
244. #14273714C23semidirect
245. #14273713C23semidirect
246. #14273712C23semidirect
247. #14273712C23semidirect
248. #14273711C23semidirect
249. #14273709C23semidirect
250. #14273709C23semidirect
251. #14273709C23semidirect
252. #14273708C23semidirect
253. #14273707C23semidirect
254. #14273706C23semidirect
255. #14273705C23semidirect
256. #14273704C23semidirect
257. #14273702C23semidirect
258. #14273701C23semidirect
259. #14273701C23semidirect
260. #14273700C23semidirect
261. #14273700C23semidirect
262. #14273700C23semidirect
263. #14273699C23semidirect
264. #14273699C23semidirect
265. #14273699C23semidirect
266. #14273699C23semidirect
267. #14273699C23semidirect
268. #14273698C23semidirect
269. #14273698C23semidirect
270. #14273698C23semidirect
271. #14273698C23semidirect
272. #14273697C23semidirect
273. #14273697C23semidirect
274. #14273697C23semidirect
275. #14273697C23semidirect
276. #14273696C23semidirect
277. #14273696C23semidirect
278. #14273695C23semidirect
279. #14273695C23semidirect
280. #14273695C23semidirect
281. #14273695C23semidirect
282. #14273695C23semidirect
283. #14273695C23semidirect
284. #14273695C23semidirect
285. #14273695C23semidirect
286. #14273695C23semidirect
287. #14273695C23semidirect
288. #14273695C23semidirect
289. C4×D236C23semidirect
290. C4×D236C23semidirect
291. D4×Dic59C23semidirect
292. D4×Dic59C23semidirect
293. #14273689C23semidirect
294. C4×C22⋊D59C23semidirect
295. C4×C22⋊D59C23semidirect
296. C4×C22⋊D59C23semidirect
297. (C22⋊D59)⋊C4C23semidirect
298. (C22⋊D59)⋊C4C23semidirect
299. #14273685C23semidirect
300. #14273684C23semidirect
301. C2×C4⋊Dic59C23semidirect
302. C2×C4⋊Dic59C23semidirect
303. C2×C4⋊Dic59C23semidirect
304. C2×Dic59⋊C4C23semidirect
305. C2×Dic59⋊C4C23semidirect
306. C2×Dic59⋊C4C23semidirect
307. C2×Dic59⋊C4C23semidirect
308. C2×Dic59⋊C4C23semidirect
311. C2×C22⋊Dic59C23semidirect
312. C2×C22⋊Dic59C23semidirect
313. C2×C22⋊Dic59C23semidirect
314. C2×C22⋊Dic59C23semidirect
315. C2×C22⋊Dic59C23semidirect
316. C2×C22⋊Dic59C23semidirect
317. C2×C22⋊Dic59C23semidirect
324. C2×(C2×D59)⋊C4C23semidirect
325. C2×(C2×D59)⋊C4C23semidirect
326. C2×(C2×D59)⋊C4C23semidirect
327. C2×(C2×D59)⋊C4C23semidirect
328. C2×(C2×D59)⋊C4C23semidirect
329. C2×(C2×D59)⋊C4C23semidirect
330. C2×(C2×D59)⋊C4C23semidirect
331. C2×(C2×D59)⋊C4C23semidirect
332. C2×(C2×D59)⋊C4C23semidirect
333. C2×(C2×D59)⋊C4C23semidirect
334. C22⋊C4×D59C23semidirect
335. C22⋊C4×D59C23semidirect
336. C22⋊C4×D59C23semidirect
337. C2×C4×Dic59C23semidirect
338. C2×C4×Dic59C23semidirect
340. C25×C59C23semidirect
349. C22×D4×C59C23semidirect
350. C22×D4×C59C23semidirect
351. C22×D4×C59C23semidirect
352. C22×D4×C59C23semidirect
353. C22×D4×C59C23semidirect
354. C22×D4×C59C23semidirect
355. C22×D4×C59C23semidirect
356. C22×D4×C59C23semidirect
358. C23×C4×C59C23semidirect
359. C23×C4×C59C23semidirect
360. #127×C59C23semidirect
361. #121×C59C23semidirect
362. #121×C59C23semidirect
363. #121×C59C23semidirect
364. #120×C59C23semidirect
365. #120×C59C23semidirect
366. C4×D4×C59C23semidirect
367. C4×D4×C59C23semidirect
368. C2×C4⋊C4×C59C23semidirect
369. C2×C4⋊C4×C59C23semidirect
371. C2×C22⋊C4×C59C23semidirect
372. C2×C22⋊C4×C59C23semidirect
373. C2×C22⋊C4×C59C23semidirect
374. C2×C22⋊C4×C59C23semidirect
375. C2×C42×C59C23semidirect
388. C24×C59C24semidirect
413. C23×D59C2×D4semidirect
425. C23×D59C24semidirect
438. C2×D4×C59C2×D4semidirect
444. C2×D4×C59C24semidirect
445. C2×D4×C59C24semidirect
446. C2×D4×C59C24semidirect
447. C2×D4×C59C24semidirect
448. C2×D4×C59C24semidirect
459. C22×C4×C59C24semidirect
460. C22×C4×C59C24semidirect
481. C2×C22⋊D59C2×D4semidirect
491. C2×C22⋊D59C24semidirect
492. C2×C22⋊D59C24semidirect
493. C2×C22⋊D59C24semidirect
494. C2×C22⋊D59C24semidirect
495. C2×C22⋊D59C24semidirect
496. C2×C22⋊D59C24semidirect
497. C2×C22⋊D59C24semidirect
498. C2×C22⋊D59C24semidirect
511. C22×Dic59C24semidirect
512. C22×Dic59C24semidirect
513. C22×Dic59C24semidirect
526. D4×D59C2×D4semidirect
535. C2×D236C2×D4semidirect
541. C2×D236C24semidirect
550. C2×C4×D59C2×D4semidirect
555. C2×C4×D59C24semidirect
556. C2×C4×D59C24semidirect
557. C2×C4×D59C24semidirect
558. C2×C4×D59C24semidirect
561. C2×Dic118C24semidirect
562. C2×Dic118C24semidirect
563. C4⋊C4×C59C24semidirect
564. C4⋊C4×C59C24semidirect
566. C22⋊C4×C59C24semidirect
567. C22⋊C4×C59C24semidirect
568. C22⋊C4×C59C24semidirect
569. C22⋊C4×C59C24semidirect
570. C42×C59C24semidirect
573. C22⋊Dic59C24semidirect
574. C22⋊Dic59C24semidirect
575. C22⋊Dic59C24semidirect
576. C22⋊Dic59C24semidirect
577. C22⋊Dic59C24semidirect
578. C22⋊Dic59C24semidirect
585. (C2×D59)⋊C4C24semidirect
586. (C2×D59)⋊C4C24semidirect
587. (C2×D59)⋊C4C24semidirect
588. (C2×D59)⋊C4C24semidirect
589. (C2×D59)⋊C4C24semidirect
590. (C2×D59)⋊C4C24semidirect
591. (C2×D59)⋊C4C24semidirect
592. (C2×D59)⋊C4C24semidirect
593. C4⋊Dic59C24semidirect
594. C4⋊Dic59C24semidirect
595. C4⋊Dic59C24semidirect
596. Dic59⋊C4C24semidirect
597. Dic59⋊C4C24semidirect
598. Dic59⋊C4C24semidirect
599. Dic59⋊C4C24semidirect
600. Dic59⋊C4C24semidirect
601. C4×Dic59C24semidirect
602. C4×Dic59C24semidirect
625. C23×C59H(5,𝔽2)semidirect
674. C22×D59C22×D4semidirect
675. C22×D59H(5,𝔽2)semidirect
690. D4×C59C22×D4semidirect
722. C22⋊D59C22×D4semidirect
746. D236C22×D4semidirect
754. C4×D59C22×D4semidirect
782. C22×C59C2×H(5,𝔽2)semidirect
810. C2×D59C2×H(5,𝔽2)semidirect
838. C2×D42D59semidirect
853. C2×C59#3484semidirect
887. C23×D4C2×D59semidirect
888. C23×D4C2×D59semidirect
889. C23×D4C2×D59semidirect
902. D42C2×D59semidirect
909. C2×#127C2×D59semidirect
941. C2×#121C2×D59semidirect
942. C2×#121C2×D59semidirect
943. C2×#121C2×D59semidirect
963. C2×#120C2×D59semidirect
964. C2×#120C2×D59semidirect
976. C2×C4×D4C2×D59semidirect
977. C2×C4×D4C2×D59semidirect
986. C59C2×#3484semidirect
999. C25C22×D59semidirect
1075. C22×D4C22×D59semidirect
1076. C22×D4C22×D59semidirect
1077. C22×D4C22×D59semidirect
1078. C22×D4C22×D59semidirect
1079. C22×D4C22×D59semidirect
1080. C22×D4C22×D59semidirect
1081. C22×D4C22×D59semidirect
1082. C22×D4C22×D59semidirect
1098. C23×C4C22×D59semidirect
1099. C23×C4C22×D59semidirect
1102. #127C22×D59semidirect
1132. #121C22×D59semidirect
1133. #121C22×D59semidirect
1134. #121C22×D59semidirect
1152. #120C22×D59semidirect
1153. #120C22×D59semidirect
1164. C4×D4C22×D59semidirect
1165. C4×D4C22×D59semidirect
1176. C2×C4⋊C4C22×D59semidirect
1177. C2×C4⋊C4C22×D59semidirect
1207. C2×C22⋊C4C22×D59semidirect
1208. C2×C22⋊C4C22×D59semidirect
1209. C2×C22⋊C4C22×D59semidirect
1210. C2×C22⋊C4C22×D59semidirect
1213. C2×C42C22×D59semidirect
1263. C24C23×D59semidirect
1346. C2×D4D4×D59semidirect
1352. C2×D4C23×D59semidirect
1353. C2×D4C23×D59semidirect
1354. C2×D4C23×D59semidirect
1355. C2×D4C23×D59semidirect
1356. C2×D4C23×D59semidirect
1399. C22×C4C23×D59semidirect
1400. C22×C4C23×D59semidirect
1409. C4⋊C4C23×D59semidirect
1410. C4⋊C4C23×D59semidirect
1434. C22⋊C4C23×D59semidirect
1435. C22⋊C4C23×D59semidirect
1436. C22⋊C4C23×D59semidirect
1437. C22⋊C4C23×D59semidirect
1440. C42C23×D59semidirect
1512. C23#14273772semidirect
1553. D4C2×D4×D59semidirect
1646. C22C2×#14273772semidirect
1671. C2#21437724direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#142737722
C23×D4×D592
#214377242
C2×#168380492
C2×#168380482
C2×#168380472
C2×#168380462
C2×#168380412
C2×#168380392
C2×#168380372
C2×#168380362
C2×D4×C22⋊D592
C2×#168380342
C2×#168379682
C2×#168379652
C2×#168379622
C2×#168379602
C2×#168379122
C2×#168379112
C22×#142736952
C2×#120×D592
C2×#168378742
C2×D42×C592
C2×#348459