Finite Group Databasebeta

← C2×#21437726 #29496567

Subgroups — C2×#21437726 #29496567

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×#14273773C211yesmaximal, characteristic, complemented
2C23×D4×D59C211yesmaximal, characteristic, complemented
3#21437726C2132yesmaximal, direct product factor
4C2×#16838045C211yesmaximal, characteristic, complemented
5C2×#16838044C212yesmaximal, complemented
6C2×#16838043C211yesmaximal, characteristic, complemented
7C2×#16838042C212yesmaximal, complemented
8C2×#16838040C211yesmaximal, characteristic, complemented
9C2×D4×D236C211yesmaximal, characteristic, complemented
10C2×D4×D236C211yesmaximal, characteristic, complemented
11C2×#16838036C211yesmaximal, characteristic, complemented
12C2×#16838036C212yesmaximal, complemented
13C2×D4×C22⋊D59C211yesmaximal, characteristic, complemented
14C2×#16838034C212yesmaximal, complemented
15C2×#16837970C211yesmaximal, characteristic, complemented
16C2×#16837968C211yesmaximal, characteristic, complemented
17C2×#16837963C212yesmaximal, complemented
18C2×#16837960C212yesmaximal, complemented
19C2×#16837915C211yesmaximal, characteristic, complemented
20C2×#16837911C211yesmaximal, characteristic, complemented
21C22×#14273697C212yesmaximal, complemented
22C2×#120×D59C212yesmaximal, complemented
23C2×#16837874C211yesmaximal, characteristic, complemented
24C2×C59×#546C211yesmaximal, characteristic, complemented
25C25×D59C2212yescomplemented
26C2×#14273773—216no—
27C2×#14273773C22116yescomplemented
28C22×#11745689C2211yescharacteristic, complemented
29C22×#11745689C2211yescharacteristic, complemented
30C22×#11745685C2211yescharacteristic, complemented
31C22×#11745685C2212yescomplemented
32C23×D236C2211yescharacteristic, complemented
33C23×D236C2212yescomplemented
34C23×D236C2211yescharacteristic, complemented
35C23×D236C2212yescomplemented
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×D59C2211yescharacteristic, complemented
46C22×D4×D59C2212yescomplemented
47C22×D4×D59C22116yescomplemented
48C22×D4×D59C2212yescomplemented
49C22×D4×D59C2212yescomplemented
50C22×D4×D59C2212yescomplemented
51C23×C4×D59C2211yescharacteristic, complemented
52#16838045C22116yescomplemented
53#16838044C22132yescomplemented
54#16838043C22116yescomplemented
55#16838042C22132yescomplemented
56#16838040C22116yescomplemented
57D4×D236C22116yescomplemented
58D4×D236C22116yescomplemented
59#16838036C22132yescomplemented
60#16838036C22116yescomplemented
61D4×C22⋊D59C22116yescomplemented
62#16838034C22132yescomplemented
63#16837970C22116yescomplemented
64#16837968C22116yescomplemented
65#16837963C22132yescomplemented
66#16837960C22132yescomplemented
67C2×#14273724C2211yescharacteristic, complemented
68C2×#14273723C2211yescharacteristic, complemented
69C2×#14273723C2212yescomplemented
70C2×#14273716C2211yescharacteristic, complemented
71C2×#14273713C2212yescomplemented
72#16837915C22116yescomplemented
73#16837911C22116yescomplemented
74C2×#14273712C2211yescharacteristic, complemented
75C2×#14273712C2212yescomplemented
76C2×#14273712C2212yescomplemented
77C2×#14273710C2212yescomplemented
78C2×#14273709C2211yescharacteristic, complemented
79C2×#14273709C2212yescomplemented
80C2×#14273705C2211yescharacteristic, complemented
81C2×#14273704C2211yescharacteristic, complemented
82C2×#14273703C2211yescharacteristic, complemented
83C2×#14273702C2211yescharacteristic, complemented
84C2×#14273702C2212yescomplemented
85C2×#14273702C2211yescharacteristic, complemented
86C2×#14273702C2212yescomplemented
87C2×#14273701C2211yescharacteristic, complemented
88C2×#14273701C2212yescomplemented
89C2×#14273701C2211yescharacteristic, complemented
90C2×#14273700C2211yescharacteristic, complemented
91C2×#14273700C2212yescomplemented
92C2×#14273700C2212yescomplemented
93C2×#14273700C2212yescomplemented
94C2×#14273700C2212yescomplemented
95C2×#14273699C2211yescharacteristic, complemented
96C2×#14273699C2212yescomplemented
97C2×#14273699C2212yescomplemented
98C2×#14273698C2211yescharacteristic, complemented
99C2×#14273697C2212yescomplemented
100C2×#14273697C2211yescharacteristic, complemented
101C2×#14273697C2212yescomplemented
102C2×#14273697C2212yescomplemented
103C2×#14273697C2212yescomplemented
104C2×#14273697C2212yescomplemented
105C2×#14273697C2212yescomplemented
106C2×#14273697C2212yescomplemented
107C2×#14273697C2212yescomplemented
108C2×#14273697C2212yescomplemented
109C2×#14273697C2212yescomplemented
110C2×#14273697C2212yescomplemented
111C2×#14273697C22132yescomplemented
112C2×#14273696C2212yescomplemented
113C2×#14273695C2211yescharacteristic, complemented
114C2×#14273695C2212yescomplemented
115C2×#14273695C2212yescomplemented
116C2×#14273695C2212yescomplemented
117C2×#14273695C2212yescomplemented
118#120×D59C22132yescomplemented
119#16837874C22116yescomplemented
120C2×C4×D236C2211yescharacteristic, complemented
121C2×C4×D236C2211yescharacteristic, complemented
122C2×D4×Dic59C2211yescharacteristic, complemented
123C2×#14273689C2212yescomplemented
124C2×#14273689C2211yescharacteristic, complemented
125C2×C4×C22⋊D59C2211yescharacteristic, complemented
126C2×C4×C22⋊D59C2211yescharacteristic, complemented
127C2×C4×C22⋊D59C2212yescomplemented
128C2×(C22⋊D59)⋊C4C2212yescomplemented
129C2×(C22⋊D59)⋊C4C2212yescomplemented
130C2×#14273685C2211yescharacteristic, complemented
131C2×#14273684C2211yescharacteristic, complemented
132C22×(C2×D59)⋊C4C2212yescomplemented
133C22×(C2×D59)⋊C4C2212yescomplemented
134C2×C22⋊C4×D59C2212yescomplemented
135C2×C22⋊C4×D59C2212yescomplemented
136C2×C22⋊C4×D59C2212yescomplemented
137C22×#41×C59C2211yescharacteristic, complemented
138C23×D4×C59C2211yescharacteristic, complemented
139C59×#546C22116yescomplemented
140C2×#124×C59C2211yescharacteristic, complemented
141C2×#123×C59C2212yescomplemented
142C2×C22⋊Q8×C59C2211yescharacteristic, complemented
143C2×#121×C59C2212yescomplemented
144C2×#121×C59C2211yescharacteristic, complemented
145C2×#120×C59C2212yescomplemented
146C2×C4×D4×C59C2211yescharacteristic, complemented
147C2×C4×D4×C59C2211yescharacteristic, complemented
148C22×C22⋊C4×C59C2212yescomplemented
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
160C24×D59C2312yescomplemented
161#14273773—2128no—
162C2×#11745689—28no—
163C2×#11745689—28no—
164C2×#11745689C2318yescomplemented
165C2×#11745689C2318yescomplemented
166C2×#11745685—216no—
167C2×#11745685—28no—
168C2×#11745685C2318yescomplemented
169C2×#11745685C23116yescomplemented
170C22×Dic118C2311yescharacteristic, complemented
171C22×D236—216no—
172C22×D236—28no—
173C22×D236—28no—
174C22×D236—48no—
175C22×D236C2311yescharacteristic
176C22×D236C2312yes—
177C22×D236C2312yes—
178C22×D236C2311yescharacteristic
179C22×D236C2312yes—
180C22×D236C2311yescharacteristic
181C22×D236C2311yescharacteristic
182C22×D236C2318yescomplemented
183C22×D236C23116yescomplemented
184C22×D236C2318yescomplemented
185C22×D236C2312yescomplemented
186C22×D236C2312yescomplemented
187C22×D236C2311yescharacteristic, complemented
188C22×D236C23116yescomplemented
189C22×D236C2312yescomplemented
190C22×D236C2312yescomplemented
191C22×D236C2312yescomplemented
192C22×C22⋊D59—216no—
193C22×C22⋊D59—48no—
194C22×C22⋊D59C2312yes—
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2312yes—
197C22×C22⋊D59C2312yes—
198C22×C22⋊D59C2312yes—
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2312yes—
202C22×C22⋊D59C23116yescomplemented
203C22×C22⋊D59C2312yescomplemented
204C22×C22⋊D59C2311yescharacteristic, complemented
205C22×C22⋊D59C2312yescomplemented
206C22×C22⋊D59C2312yescomplemented
207C22×C22⋊D59C2312yescomplemented
208C22×C22⋊D59C2312yescomplemented
209C22×C22⋊D59C23116yescomplemented
210C2×D4×D59—216no—
211C2×D4×D59—216no—
212C2×D4×D59—28no—
213C2×D4×D59—28no—
214C2×D4×D59—216no—
215C2×D4×D59—216no—
216C2×D4×D59—2128no—
217C2×D4×D59—28no—
218C2×D4×D59—28no—
219C2×D4×D59—48no—
220C2×D4×D59—48no—
221C2×D4×D59D4116yescomplemented
222C2×D4×D59C2318yes—
223C2×D4×D59C23116yescomplemented
224C2×D4×D59C2318yescomplemented
225C2×D4×D59C23116yescomplemented
226C2×D4×D59C2318yescomplemented
227C2×D4×D59C2318yescomplemented
228C2×D4×D59C23116yescomplemented
229C2×D4×D59C23116yescomplemented
230C2×D4×D59C23116yescomplemented
231C2×D4×D59C2318yescomplemented
232C2×D4×D59C23116yescomplemented
233C23×Dic59C2311yescharacteristic
234C23×Dic59C2312yescomplemented
235C22×C4×D59—28no—
236C22×C4×D59C2311yescharacteristic
237C22×C4×D59C2311yescharacteristic
238C22×C4×D59C2311yescharacteristic
239C22×C4×D59C2311yescharacteristic
240C22×C4×D59C2318yescomplemented
241C22×C4×D59C2311yescharacteristic, complemented
242C22×C4×D59C2312yescomplemented
243C22×C4×D59C2312yescomplemented
244C22×C4×D59C2312yescomplemented
245C22×C4×D59C2312yescomplemented
246#14273724C2318yescomplemented
247#14273723C23116yescomplemented
248#14273723C2318yescomplemented
249#14273716C2318yescomplemented
250#14273713C23116yescomplemented
251#14273712C2318yescomplemented
252#14273712C23116yescomplemented
253#14273712C23116yescomplemented
254#14273710C23116yescomplemented
255#14273709C2318yescomplemented
256#14273709C23116yescomplemented
257#14273705C2318yescomplemented
258#14273704C2318yescomplemented
259#14273703C2318yescomplemented
260#14273702C2318yescomplemented
261#14273702C23116yescomplemented
262#14273702C23116yescomplemented
263#14273702C2318yescomplemented
264#14273701C2318yescomplemented
265#14273701C2318yescomplemented
266#14273701C23116yescomplemented
267#14273700C2318yescomplemented
268#14273700C23116yescomplemented
269#14273700C23116yescomplemented
270#14273700C23116yescomplemented
271#14273700C23116yescomplemented
272#14273699C2318yescomplemented
273#14273699C23116yescomplemented
274#14273699C23116yescomplemented
275#14273698C2318yescomplemented
276#14273697C2318yescomplemented
277#14273697C23116yescomplemented
278#14273697C23116yescomplemented
279#14273697C23116yescomplemented
280#14273697C23116yescomplemented
281#14273697C23116yescomplemented
282#14273697C23116yescomplemented
283#14273697C23116yescomplemented
284#14273697C23116yescomplemented
285#14273697C23116yescomplemented
286#14273697C23116yescomplemented
287#14273697C23116yescomplemented
288#14273696C23116yescomplemented
289#14273695C2318yescomplemented
290#14273695C23116yescomplemented
291#14273695C23116yescomplemented
292#14273695C23116yescomplemented
293#14273695C23116yescomplemented
294C4×D236C2318yescomplemented
295C4×D236C2318yescomplemented
296D4×Dic59C2318yescomplemented
297#14273689C23116yescomplemented
298#14273689C2318yescomplemented
299C4×C22⋊D59C2318yescomplemented
300C4×C22⋊D59C2318yescomplemented
301C4×C22⋊D59C23116yescomplemented
302(C22⋊D59)⋊C4C23116yescomplemented
303(C22⋊D59)⋊C4C23116yescomplemented
304#14273685C2318yescomplemented
305#14273684C2318yescomplemented
306C2×C4⋊Dic59C2311yescharacteristic, complemented
307C2×C4⋊Dic59C2311yescharacteristic, complemented
308C2×Dic59⋊C4C2311yescharacteristic, complemented
309C2×Dic59⋊C4C2311yescharacteristic, complemented
310C2×Dic59⋊C4C2312yescomplemented
311C2×Dic59⋊C4C2311yescharacteristic, complemented
312C2×Dic59⋊C4C2311yescharacteristic, complemented
313C2×C22⋊Dic59C2311yescharacteristic
314C2×C22⋊Dic59C2312yescomplemented
315C2×C22⋊Dic59C2312yescomplemented
316C2×C22⋊Dic59C2311yescharacteristic, complemented
317C2×(C2×D59)⋊C4C2311yescharacteristic
318C2×(C2×D59)⋊C4C2311yescharacteristic
319C2×(C2×D59)⋊C4C2312yes—
320C2×(C2×D59)⋊C4C2311yescharacteristic
321C2×(C2×D59)⋊C4C2311yescharacteristic
322C2×(C2×D59)⋊C4C2312yes—
323C2×(C2×D59)⋊C4C23116yescomplemented
324C2×(C2×D59)⋊C4C23116yescomplemented
325C2×(C2×D59)⋊C4C2312yescomplemented
326C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
327C2×(C2×D59)⋊C4C2312yescomplemented
328C2×(C2×D59)⋊C4C2312yescomplemented
329C2×(C2×D59)⋊C4C2312yescomplemented
330C2×(C2×D59)⋊C4C2312yescomplemented
331C2×(C2×D59)⋊C4C2312yescomplemented
332C2×(C2×D59)⋊C4C2312yescomplemented
333C2×(C2×D59)⋊C4C2312yescomplemented
334C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
335C22⋊C4×D59C23116yescomplemented
336C22⋊C4×D59C23116yescomplemented
337C22⋊C4×D59C23116yescomplemented
338C2×C4×Dic59C2312yescomplemented
339C2×C4×Dic59C2311yescharacteristic, complemented
340C25×C59C2312yes—
341C2×#41×C59—28no—
342C2×#41×C59C2318yescomplemented
343C22×Q8×C59C2311yescharacteristic, complemented
344C22×D4×C59—28no—
345C22×D4×C59C2311yescharacteristic
346C22×D4×C59C2311yescharacteristic
347C22×D4×C59C2312yes—
348C22×D4×C59C2311yescharacteristic
349C22×D4×C59C2318yescomplemented
350C22×D4×C59C2312yescomplemented
351C22×D4×C59C2312yescomplemented
352C23×C4×C59C2311yescharacteristic
353C23×C4×C59C2311yescharacteristic, complemented
354C23×C4×C59C2312yescomplemented
355C23×C4×C59C2312yescomplemented
356#124×C59C2318yescomplemented
357#123×C59C23116yescomplemented
358C22⋊Q8×C59C2318yescomplemented
359#121×C59C23116yescomplemented
360#121×C59C2318yescomplemented
361#120×C59C23116yescomplemented
362C4×D4×C59C2318yescomplemented
363C4×D4×C59C2318yescomplemented
364C2×C4⋊C4×C59C2311yescharacteristic, complemented
365C2×C4⋊C4×C59C2311yescharacteristic, complemented
366C2×C4⋊C4×C59C2312yescomplemented
367C2×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2312yes—
369C2×C22⋊C4×C59C23116yescomplemented
370C2×C22⋊C4×C59C2312yescomplemented
371C2×C22⋊C4×C59C2311yescharacteristic, complemented
372C2×C22⋊C4×C59C2312yescomplemented
373C2×C22⋊C4×C59C2312yescomplemented
374C2×C22⋊C4×C59C2312yescomplemented
375C2×C42×C59C2311yescharacteristic, complemented
376C24×C59—28no—
377C24×C59—28no—
378C24×C59—44no—
379C24×C59C2412yes—
380C24×C59C2411yescharacteristic
381C24×C59C2418yes—
382C24×C59C2412yes—
383C24×C59C2411yescharacteristic
384C23×D59—24no—
385C23×D59—24no—
386C23×D59—24no—
387C23×D59—28no—
388C23×D59—28no—
389C23×D59—28no—
390C23×D59—28no—
391C23×D59—28no—
392C23×D59—28no—
393C23×D59—264no—
394C23×D59—28no—
395C23×D59—28no—
396C23×D59—28no—
397C23×D59—432no—
398C23×D59—44no—
399C23×D59—44no—
400C23×D59—44no—
401C23×D59—44no—
402C23×D59—44no—
403C23×D59—44no—
404C23×D59—44no—
405C23×D59—432no—
406C23×D59—44no—
407C23×D59—44no—
408C23×D59—44no—
409C23×D59—44no—
410C23×D59—4128no—
411C23×D59C2×D4116yescomplemented
412C23×D59C2412yes—
413C23×D59C2411yescharacteristic
414C23×D59C2412yes—
415C23×D59C2414yes—
416C23×D59C2418yes—
417C23×D59C2418yes—
418C23×D59C2418yes—
419C23×D59C2411yescharacteristic
420C23×D59C2412yes—
421C23×D59C2411yescharacteristic
422C23×D59C2418yes—
423C23×D59C2418yes—
424C23×D59C2418yescomplemented
425C23×D59C2418yescomplemented
426#41×C59—232no—
427C2×Q8×C59—24no—
428C2×Q8×C59C2414yescomplemented
429C2×D4×C59—28no—
430C2×D4×C59—28no—
431C2×D4×C59—24no—
432C2×D4×C59—232no—
433C2×D4×C59—24no—
434C2×D4×C59—44no—
435C2×D4×C59C2×D418yescomplemented
436C2×D4×C59C2414yes—
437C2×D4×C59C2418yes—
438C2×D4×C59C2414yes—
439C2×D4×C59C2414yes—
440C2×D4×C59C2418yescomplemented
441C2×D4×C59C2418yescomplemented
442C22×C4×C59—28no—
443C22×C4×C59—24no—
444C22×C4×C59—24no—
445C22×C4×C59—44no—
446C22×C4×C59C2411yescharacteristic
447C22×C4×C59C2411yescharacteristic
448C22×C4×C59C2412yes—
449C22×C4×C59C2411yescharacteristic
450C22×C4×C59C2412yes—
451C22×C4×C59C2411yescharacteristic
452C22×C4×C59C2414yes—
453C22×C4×C59C2411yescharacteristic
454C22×C4×C59C2418yescomplemented
455C22×C4×C59C2414yescomplemented
456C22×C4×C59C2418yescomplemented
457C2×C22⋊D59—28no—
458C2×C22⋊D59—28no—
459C2×C22⋊D59—28no—
460C2×C22⋊D59—24no—
461C2×C22⋊D59—28no—
462C2×C22⋊D59—24no—
463C2×C22⋊D59—24no—
464C2×C22⋊D59—264no—
465C2×C22⋊D59—28no—
466C2×C22⋊D59—24no—
467C2×C22⋊D59—44no—
468C2×C22⋊D59—44no—
469C2×C22⋊D59—44no—
470C2×C22⋊D59—44no—
471C2×C22⋊D59—432no—
472C2×C22⋊D59C2×D4116yescomplemented
473C2×C22⋊D59C2418yes—
474C2×C22⋊D59C2414yes—
475C2×C22⋊D59C2414yes—
476C2×C22⋊D59C2414yes—
477C2×C22⋊D59C2418yes—
478C2×C22⋊D59C2418yes—
479C2×C22⋊D59C2418yes—
480C2×C22⋊D59C2418yes—
481C2×C22⋊D59C2418yescomplemented
482C2×C22⋊D59C2414yescomplemented
483C2×C22⋊D59C2418yescomplemented
484C2×C22⋊D59C2418yescomplemented
485C2×C22⋊D59C2418yescomplemented
486C2×C22⋊D59C2418yescomplemented
487C22×Dic59—24no—
488C22×Dic59—44no—
489C22×Dic59C2411yescharacteristic
490C22×Dic59C2412yes—
491C22×Dic59C2411yescharacteristic
492C22×Dic59C2411yescharacteristic
493C22×Dic59C2411yescharacteristic
494C22×Dic59C2414yes—
495C22×Dic59C2411yescharacteristic
496C22×Dic59C2418yescomplemented
497#11745689—232no—
498#11745689—232no—
499D4×D59—264no—
500D4×D59—264no—
501D4×D59—232no—
502D4×D59—232no—
503D4×D59—264no—
504D4×D59—264no—
505D4×D59—232no—
506D4×D59—232no—
507D4×D59—432no—
508D4×D59—432no—
509D4×D59C2×D4164yescomplemented
510#11745685—264no—
511#11745685—232no—
512C2×D236—28no—
513C2×D236—28no—
514C2×D236—28no—
515C2×D236—24no—
516C2×D236—28no—
517C2×D236—264no—
518C2×D236—28no—
519C2×D236—24no—
520C2×D236—24no—
521C2×D236—24no—
522C2×D236—232no—
523C2×D236—232no—
524C2×D236—432no—
525C2×D236—44no—
526C2×D236—44no—
527C2×D236—44no—
528C2×D236C2×D418yescomplemented
529C2×D236C2418yes—
530C2×D236C2414yes—
531C2×D236C2418yes—
532C2×D236C2414yes—
533C2×D236C2418yes—
534C2×D236C2414yes—
535C2×D236C2414yes—
536C2×D236C2418yescomplemented
537C2×D236C2418yescomplemented
538C2×D236C2414yescomplemented
539C2×D236C2418yescomplemented
540C2×D236C2418yescomplemented
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—28no—
548C2×C4×D59—232no—
549C2×C4×D59—44no—
550C2×C4×D59—44no—
551C2×C4×D59C2×D418yescomplemented
552C2×C4×D59C2414yes—
553C2×C4×D59C2414yes—
554C2×C4×D59C2414yes—
555C2×C4×D59C2414yes—
556C2×C4×D59C2418yescomplemented
557C2×C4×D59C2418yescomplemented
558C2×C4×D59C2414yescomplemented
559C2×C4×D59C2418yescomplemented
560C2×C4×D59C2418yescomplemented
561C2×Dic118—24no—
562C2×Dic118C2414yescomplemented
563C4⋊C4×C59C2414yescomplemented
564C4⋊C4×C59C2414yescomplemented
565C4⋊C4×C59C2418yescomplemented
566C22⋊C4×C59C2414yes—
567C22⋊C4×C59C2418yes—
568C22⋊C4×C59C2418yescomplemented
569C22⋊C4×C59C2418yescomplemented
570C22⋊C4×C59C2418yescomplemented
571C22⋊C4×C59C2414yescomplemented
572C22⋊C4×C59C2418yescomplemented
573C42×C59C2414yescomplemented
574C22⋊Dic59C2414yes—
575C22⋊Dic59C2418yescomplemented
576C22⋊Dic59C2418yescomplemented
577C22⋊Dic59C2414yescomplemented
578(C2×D59)⋊C4C2414yes—
579(C2×D59)⋊C4C2414yes—
580(C2×D59)⋊C4C2418yes—
581(C2×D59)⋊C4C2418yes—
582(C2×D59)⋊C4C2414yes—
583(C2×D59)⋊C4C2414yes—
584(C2×D59)⋊C4C2418yescomplemented
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)⋊C4C2418yescomplemented
593(C2×D59)⋊C4C2414yescomplemented
594C4⋊Dic59C2414yescomplemented
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—22no—
608C23×C59—216no—
609C23×C59—24no—
610C23×C59—22no—
611C23×C59—22no—
612C23×C59—24no—
613C23×C59—24no—
614C23×C59—216no—
615C23×C59—48no—
616C23×C59—432no—
617C23×C59C22×D418yes—
618C23×C59H(5,𝔽2)14yescomplemented
619C23×C59C2514yes—
620C23×C59C2512yes—
621C23×C59C2514yes—
622C23×C59C2512yes—
623C23×C59C2511yescharacteristic
624C22×D59—232no—
625C22×D59—22no—
626C22×D59—24no—
627C22×D59—24no—
628C22×D59—22no—
629C22×D59—22no—
630C22×D59—22no—
631C22×D59—28no—
632C22×D59—28no—
633C22×D59—28no—
634C22×D59—22no—
635C22×D59—24no—
636C22×D59—24no—
637C22×D59—216no—
638C22×D59—22no—
639C22×D59—24no—
640C22×D59—24no—
641C22×D59—24no—
642C22×D59—24no—
643C22×D59—22no—
644C22×D59—216no—
645C22×D59—216no—
646C22×D59—216no—
647C22×D59—216no—
648C22×D59—216no—
649C22×D59—216no—
650C22×D59—216no—
651C22×D59—216no—
652C22×D59—432no—
653C22×D59—48no—
654C22×D59—48no—
655C22×D59—48no—
656C22×D59—48no—
657C22×D59—48no—
658C22×D59—48no—
659C22×D59—48no—
660C22×D59—432no—
661C22×D59—48no—
662C22×D59—48no—
663C22×D59—48no—
664C22×D59—48no—
665C22×D59—432no—
666C22×D59—432no—
667C22×D59—4256no—
668C22×D59—432no—
669C22×D59—816no—
670C22×D59—816no—
671C22×D59C22×D414yes—
672C22×D59C22×D418yes—
673C22×D59C22×D4132yescomplemented
674C22×D59H(5,𝔽2)14yescomplemented
675C22×D59C2514yes—
676C22×D59C2512yes—
677C22×D59C2514yes—
678C22×D59C2512yes—
679C22×D59C2514yes—
680C22×D59C2512yes—
681Q8×C59—28no—
682D4×C59—216no—
683D4×C59—216no—
684D4×C59—28no—
685D4×C59—28no—
686D4×C59—48no—
687D4×C59C22×D4116yescomplemented
688C2×C4×C59—22no—
689C2×C4×C59—22no—
690C2×C4×C59—24no—
691C2×C4×C59—216no—
692C2×C4×C59—22no—
693C2×C4×C59—24no—
694C2×C4×C59—22no—
695C2×C4×C59—28no—
696C2×C4×C59—28no—
697C2×C4×C59—48no—
698C2×C4×C59C22×D414yes—
699C2×C4×C59C2514yes—
700C2×C4×C59C2512yes—
701C2×C4×C59C2512yes—
702C2×C4×C59C2512yes—
703C2×C4×C59C2514yes—
704C2×C4×C59C2512yes—
705C2×C4×C59C2512yes—
706C22⋊D59—216no—
707C22⋊D59—216no—
708C22⋊D59—216no—
709C22⋊D59—28no—
710C22⋊D59—28no—
711C22⋊D59—216no—
712C22⋊D59—28no—
713C22⋊D59—28no—
714C22⋊D59—216no—
715C22⋊D59—48no—
716C22⋊D59—48no—
717C22⋊D59—48no—
718C22⋊D59—48no—
719C22⋊D59C22×D4132yescomplemented
720C2×Dic59—22no—
721C2×Dic59—22no—
722C2×Dic59—22no—
723C2×Dic59—24no—
724C2×Dic59—22no—
725C2×Dic59—28no—
726C2×Dic59—48no—
727C2×Dic59C22×D414yes—
728C2×Dic59C2512yes—
729C2×Dic59C2512yes—
730C2×Dic59C2514yes—
731C2×Dic59C2512yes—
732C2×Dic59C2512yes—
733C2×Dic59C2512yes—
734D236—28no—
735D236—216no—
736D236—216no—
737D236—216no—
738D236—216no—
739D236—28no—
740D236—216no—
741D236—28no—
742D236—28no—
743D236—48no—
744D236—48no—
745D236—48no—
746D236C22×D4116yescomplemented
747C4×D59—28no—
748C4×D59—216no—
749C4×D59—28no—
750C4×D59—28no—
751C4×D59—28no—
752C4×D59—216no—
753C4×D59—48no—
754C4×D59—48no—
755C4×D59C22×D4116yescomplemented
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—22no—
765C22×C59—24no—
766C22×C59—22no—
767C22×C59—22no—
768C22×C59—24no—
769C22×C59—24no—
770C22×C59—432no—
771C22×C59—48no—
772C22×C59—44no—
773C22×C59C23×D418yes—
774C22×C59C23×D412yes—
775C22×C59C2×H(5,𝔽2)12yes—
776C22×C59C2×H(5,𝔽2)12yes—
777C22×C59C2×H(5,𝔽2)14yescomplemented
778C22×C59C2611yescharacteristic
779C2×D59—232no—
780C2×D59—22no—
781C2×D59—24no—
782C2×D59—24no—
783C2×D59—22no—
784C2×D59—22no—
785C2×D59—22no—
786C2×D59—28no—
787C2×D59—28no—
788C2×D59—216no—
789C2×D59—22no—
790C2×D59—24no—
791C2×D59—24no—
792C2×D59—22no—
793C2×D59—24no—
794C2×D59—24no—
795C2×D59—24no—
796C2×D59—24no—
797C2×D59—22no—
798C2×D59—432no—
799C2×D59—432no—
800C2×D59—432no—
801C2×D59—432no—
802C2×D59—432no—
803C2×D59—48no—
804C2×D59—44no—
805C2×D59—48no—
806C2×D59—816no—
807C2×D59—816no—
808C2×D59C23×D414yes—
809C2×D59C23×D418yes—
810C2×D59C2×H(5,𝔽2)14yescomplemented
811C4×C59—22no—
812C4×C59—22no—
813C4×C59—24no—
814C4×C59—22no—
815C4×C59—24no—
816C4×C59—22no—
817C4×C59C23×D414yes—
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—591no—
829C2×#546—592no—
830C2×#546—591no—
831C2×#546—592no—
832C2×#546D5911yescharacteristic, complemented
833C2×D42—591no—
834C2×D42—592no—
835C2×D42—591no—
836C2×D42—592no—
837C2×D42—591no—
838C2×D42—591no—
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—42no—
852C2×C59#348414yescomplemented
853C2×C59C24×D411yescharacteristic
854C2×C59C22×H(5,𝔽2)11yescharacteristic
855C2×C59C22×H(5,𝔽2)11yescharacteristic
856D59—24no—
857D59—24no—
858D59—28no—
859D59—44no—
860D59—42no—
861D59—44no—
862C26—592no—
863C2×H(5,𝔽2)—5916no—
864C2×H(5,𝔽2)—11816no—
865C22×#41—591no—
866C22×#41—591no—
867C22×#41—591no—
868C22×#41—592no—
869C22×#41C2×D5911yescharacteristic, complemented
870C23×D4—591no—
871C23×D4—592no—
872C23×D4—592no—
873C23×D4—592no—
874C23×D4—591no—
875C23×D4—592no—
876C23×D4—591no—
877C23×D4—591no—
878C23×D4—591no—
879C23×D4—5916no—
880C23×D4—592no—
881C23×D4—592no—
882C23×D4—592no—
883C23×D4—592no—
884C23×D4—591no—
885C23×D4—592no—
886C23×D4—591no—
887C23×D4—592no—
888C23×D4—11816no—
889C23×D4C2×D5911yescharacteristic, complemented
890C24×C4—591no—
891#546—5916no—
892#546—5916no—
893#546—5932no—
894#546—5916no—
895#546—5932no—
896#546C2×D59116yescomplemented
897D42—5916no—
898D42—5932no—
899D42—5916no—
900D42—5932no—
901D42—5916no—
902D42—5916no—
903#535—5916no—
904#535—5916no—
905#534—5932no—
906#534—5932no—
907C2×#127—591no—
908C2×#127—592no—
909C2×#127—591no—
910C2×#124—591no—
911C2×#124—592no—
912C2×#124C2×D5911yescharacteristic, complemented
913#525—5916no—
914#525—5916no—
915C2×#123—592no—
916C2×#123—592no—
917C2×#123—591no—
918C2×#123—592no—
919C2×#123—591no—
920C2×#123—592no—
921C2×#123C2×D5912yescomplemented
922C2×C22⋊Q8—591no—
923C2×C22⋊Q8—591no—
924C2×C22⋊Q8—591no—
925C2×C22⋊Q8C2×D5911yescharacteristic, complemented
926C2×#121—591no—
927C2×#121—591no—
928C2×#121—592no—
929C2×#121—592no—
930C2×#121—591no—
931C2×#121—592no—
932C2×#121—591no—
933C2×#121—591no—
934C2×#121—592no—
935C2×#121—592no—
936C2×#121—591no—
937C2×#121—591no—
938C2×#121—592no—
939C2×#121—592no—
940C2×#121—592no—
941C2×#121—592no—
942C2×#121C2×D5912yescomplemented
943C2×#121C2×D5911yescharacteristic, complemented
944C2×#120—592no—
945C2×#120—591no—
946C2×#120—592no—
947C2×#120—592no—
948C2×#120—592no—
949C2×#120—592no—
950C2×#120—5932no—
951C2×#120—592no—
952C2×#120—591no—
953C2×#120—592no—
954C2×#120—592no—
955C2×#120—592no—
956C2×#120—592no—
957C2×#120—592no—
958C2×#120—592no—
959C2×#120—592no—
960C2×#120—592no—
961C2×#120—5932no—
962C2×#120—592no—
963C2×#120—592no—
964C2×#120C2×D5912yescomplemented
965#518—5916no—
966C2×C4×D4—591no—
967C2×C4×D4—591no—
968C2×C4×D4—592no—
969C2×C4×D4—591no—
970C2×C4×D4—591no—
971C2×C4×D4—592no—
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⋊C4C2×D5912yescomplemented
986C59C2×#348411yescharacteristic, complemented, Sylow
987C25—592no—
988C25—591no—
989C25—592no—
990C25—592no—
991C25—592no—
992C25—592no—
993C25—5916no—
994C25—592no—
995C25—592no—
996C25—11816no—
997C25—2368no—
998C25—2368no—
999C25C22×D5912yes—
1000H(5,𝔽2)—118128no—
1001C2×#41—28no—
1002C2×#41—598no—
1003C2×#41—598no—
1004C2×#41—598no—
1005C2×#41—5916no—
1006C2×#41—1188no—
1007C2×#41—11816no—
1008C2×#41—1188no—
1009C2×#41—1188no—
1010C2×#41C22×D5918yescomplemented
1011C22×Q8—591no—
1012C22×Q8C22×D5911yescharacteristic, complemented
1013C22×D4—28no—
1014C22×D4—592no—
1015C22×D4—5916no—
1016C22×D4—598no—
1017C22×D4—591no—
1018C22×D4—591no—
1019C22×D4—592no—
1020C22×D4—591no—
1021C22×D4—592no—
1022C22×D4—592no—
1023C22×D4—592no—
1024C22×D4—592no—
1025C22×D4—591no—
1026C22×D4—5916no—
1027C22×D4—592no—
1028C22×D4—592no—
1029C22×D4—592no—
1030C22×D4—592no—
1031C22×D4—5916no—
1032C22×D4—5916no—
1033C22×D4—598no—
1034C22×D4—598no—
1035C22×D4—5916no—
1036C22×D4—598no—
1037C22×D4—598no—
1038C22×D4—5916no—
1039C22×D4—5916no—
1040C22×D4—5916no—
1041C22×D4—5916no—
1042C22×D4—591no—
1043C22×D4—592no—
1044C22×D4—591no—
1045C22×D4—592no—
1046C22×D4—591no—
1047C22×D4—592no—
1048C22×D4—592no—
1049C22×D4—592no—
1050C22×D4—591no—
1051C22×D4—591no—
1052C22×D4—598no—
1053C22×D4—592no—
1054C22×D4—592no—
1055C22×D4—592no—
1056C22×D4—5916no—
1057C22×D4—598no—
1058C22×D4—5916no—
1059C22×D4—1188no—
1060C22×D4—1188no—
1061C22×D4—11816no—
1062C22×D4—1188no—
1063C22×D4—11816no—
1064C22×D4—118128no—
1065C22×D4—1188no—
1066C22×D4—11816no—
1067C22×D4—11816no—
1068C22×D4—11816no—
1069C22×D4—11816no—
1070C22×D4—1188no—
1071C22×D4—1188no—
1072C22×D4—2368no—
1073C22×D4—2368no—
1074C22×D4—2368no—
1075C22×D4—2368no—
1076C22×D4C22×D5911yescharacteristic
1077C22×D4C22×D5912yes—
1078C22×D4C22×D5911yescharacteristic
1079C22×D4C22×D5911yescharacteristic
1080C22×D4C22×D5918yescomplemented
1081C22×D4C22×D5912yescomplemented
1082C22×D4C22×D5912yescomplemented
1083C23×C4—591no—
1084C23×C4—591no—
1085C23×C4—592no—
1086C23×C4—592no—
1087C23×C4—592no—
1088C23×C4—591no—
1089C23×C4—591no—
1090C23×C4—591no—
1091C23×C4—591no—
1092C23×C4—598no—
1093C23×C4—592no—
1094C23×C4—592no—
1095C23×C4—1188no—
1096C23×C4C22×D5911yescharacteristic
1097C23×C4C22×D5912yescomplemented
1098C23×C4C22×D5911yescharacteristic, complemented
1099C23×C4C22×D5912yescomplemented
1100#127—598no—
1101#127—5916no—
1102#127—598no—
1103#124—598no—
1104#124—5916no—
1105#124C22×D5918yescomplemented
1106#123—5916no—
1107#123—5916no—
1108#123—598no—
1109#123—5916no—
1110#123—598no—
1111#123—5916no—
1112#123C22×D59116yescomplemented
1113C22⋊Q8—598no—
1114C22⋊Q8—598no—
1115C22⋊Q8—598no—
1116C22⋊Q8C22×D5918yescomplemented
1117#121—598no—
1118#121—5916no—
1119#121—598no—
1120#121—5916no—
1121#121—598no—
1122#121—5916no—
1123#121—598no—
1124#121—598no—
1125#121—5916no—
1126#121—5916no—
1127#121—598no—
1128#121—598no—
1129#121—5916no—
1130#121—5916no—
1131#121—5916no—
1132#121—5916no—
1133#121C22×D59116yescomplemented
1134#121C22×D5918yescomplemented
1135#120—5916no—
1136#120—598no—
1137#120—5916no—
1138#120—5916no—
1139#120—5916no—
1140#120—5916no—
1141#120—5916no—
1142#120—598no—
1143#120—5916no—
1144#120—5916no—
1145#120—5916no—
1146#120—5916no—
1147#120—5916no—
1148#120—5916no—
1149#120—5916no—
1150#120—5916no—
1151#120—5916no—
1152#120—5916no—
1153#120C22×D59116yescomplemented
1154C4×D4—598no—
1155C4×D4—598no—
1156C4×D4—5916no—
1157C4×D4—598no—
1158C4×D4—598no—
1159C4×D4—5916no—
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—591no—
1175C2×C4⋊C4C22×D5911yescharacteristic, complemented
1176C2×C4⋊C4C22×D5912yescomplemented
1177C2×C4⋊C4C22×D5911yescharacteristic, complemented
1178C2×C22⋊C4—591no—
1179C2×C22⋊C4—592no—
1180C2×C22⋊C4—592no—
1181C2×C22⋊C4—591no—
1182C2×C22⋊C4—592no—
1183C2×C22⋊C4—591no—
1184C2×C22⋊C4—591no—
1185C2×C22⋊C4—592no—
1186C2×C22⋊C4—591no—
1187C2×C22⋊C4—591no—
1188C2×C22⋊C4—592no—
1189C2×C22⋊C4—592no—
1190C2×C22⋊C4—592no—
1191C2×C22⋊C4—592no—
1192C2×C22⋊C4—592no—
1193C2×C22⋊C4—592no—
1194C2×C22⋊C4—591no—
1195C2×C22⋊C4—592no—
1196C2×C22⋊C4—592no—
1197C2×C22⋊C4—591no—
1198C2×C22⋊C4—5916no—
1199C2×C22⋊C4—5916no—
1200C2×C22⋊C4—5916no—
1201C2×C22⋊C4—5916no—
1202C2×C22⋊C4—5916no—
1203C2×C22⋊C4C22×D5912yes—
1204C2×C22⋊C4C22×D5911yescharacteristic
1205C2×C22⋊C4C22×D59116yescomplemented
1206C2×C22⋊C4C22×D5912yescomplemented
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—44no—
1217C24—591no—
1218C24—591no—
1219C24—592no—
1220C24—5916no—
1221C24—598no—
1222C24—594no—
1223C24—592no—
1224C24—592no—
1225C24—591no—
1226C24—598no—
1227C24—598no—
1228C24—598no—
1229C24—598no—
1230C24—598no—
1231C24—598no—
1232C24—1184no—
1233C24—1184no—
1234C24—1188no—
1235C24—1188no—
1236C24—1188no—
1237C24—1188no—
1238C24—11864no—
1239C24—1188no—
1240C24—1188no—
1241C24—1184no—
1242C24—1188no—
1243C24—1188no—
1244C24—1188no—
1245C24—2364no—
1246C24—2364no—
1247C24—2364no—
1248C24—2364no—
1249C24—2364no—
1250C24—2364no—
1251C24—2364no—
1252C24—2364no—
1253C24—2364no—
1254C24—2364no—
1255C24—2364no—
1256C24—23632no—
1257C24—23632no—
1258C24—236128no—
1259C24C23×D5912yes—
1260C24C23×D5911yescharacteristic
1261C24C23×D5918yes—
1262C24C23×D5912yes—
1263C24C23×D5911yescharacteristic
1264#41—232no—
1265#41—11832no—
1266#41—11864no—
1267#41—11832no—
1268#41—11832no—
1269C2×Q8—24no—
1270C2×Q8—594no—
1271C2×Q8—1184no—
1272C2×Q8C23×D5914yescomplemented
1273C2×D4—28no—
1274C2×D4—28no—
1275C2×D4—24no—
1276C2×D4—232no—
1277C2×D4—24no—
1278C2×D4—44no—
1279C2×D4—5916no—
1280C2×D4—598no—
1281C2×D4—5964no—
1282C2×D4—594no—
1283C2×D4—594no—
1284C2×D4—598no—
1285C2×D4—594no—
1286C2×D4—598no—
1287C2×D4—598no—
1288C2×D4—598no—
1289C2×D4—598no—
1290C2×D4—594no—
1291C2×D4—598no—
1292C2×D4—598no—
1293C2×D4—598no—
1294C2×D4—598no—
1295C2×D4—598no—
1296C2×D4—594no—
1297C2×D4—598no—
1298C2×D4—594no—
1299C2×D4—598no—
1300C2×D4—594no—
1301C2×D4—598no—
1302C2×D4—598no—
1303C2×D4—598no—
1304C2×D4—594no—
1305C2×D4—594no—
1306C2×D4—598no—
1307C2×D4—598no—
1308C2×D4—598no—
1309C2×D4—11832no—
1310C2×D4—11832no—
1311C2×D4—1188no—
1312C2×D4—1184no—
1313C2×D4—1188no—
1314C2×D4—1188no—
1315C2×D4—1188no—
1316C2×D4—11864no—
1317C2×D4—1184no—
1318C2×D4—1188no—
1319C2×D4—11832no—
1320C2×D4—1188no—
1321C2×D4—1184no—
1322C2×D4—11864no—
1323C2×D4—11832no—
1324C2×D4—11864no—
1325C2×D4—11864no—
1326C2×D4—11864no—
1327C2×D4—11864no—
1328C2×D4—1188no—
1329C2×D4—1184no—
1330C2×D4—1184no—
1331C2×D4—1188no—
1332C2×D4—1188no—
1333C2×D4—1188no—
1334C2×D4—1184no—
1335C2×D4—11832no—
1336C2×D4—11832no—
1337C2×D4—1184no—
1338C2×D4—1184no—
1339C2×D4—2364no—
1340C2×D4—2364no—
1341C2×D4—2364no—
1342C2×D4—23632no—
1343C2×D4—2364no—
1344C2×D4—2364no—
1345C2×D4—2364no—
1346C2×D4—2364no—
1347C2×D4—23632no—
1348C2×D4—23632no—
1349C2×D4—23632no—
1350C2×D4D4×D5918yescomplemented
1351C2×D4C23×D5914yes—
1352C2×D4C23×D5918yes—
1353C2×D4C23×D5914yes—
1354C2×D4C23×D5914yes—
1355C2×D4C23×D5918yescomplemented
1356C2×D4C23×D5918yescomplemented
1357C22×C4—28no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—44no—
1361C22×C4—591no—
1362C22×C4—598no—
1363C22×C4—594no—
1364C22×C4—594no—
1365C22×C4—591no—
1366C22×C4—592no—
1367C22×C4—591no—
1368C22×C4—591no—
1369C22×C4—591no—
1370C22×C4—598no—
1371C22×C4—598no—
1372C22×C4—598no—
1373C22×C4—594no—
1374C22×C4—594no—
1375C22×C4—594no—
1376C22×C4—594no—
1377C22×C4—598no—
1378C22×C4—598no—
1379C22×C4—1184no—
1380C22×C4—11832no—
1381C22×C4—1188no—
1382C22×C4—1184no—
1383C22×C4—1188no—
1384C22×C4—1184no—
1385C22×C4—1184no—
1386C22×C4—1184no—
1387C22×C4—2364no—
1388C22×C4—2364no—
1389C22×C4—2364no—
1390C22×C4C23×D5914yes—
1391C22×C4C23×D5912yes—
1392C22×C4C23×D5911yescharacteristic
1393C22×C4C23×D5911yescharacteristic
1394C22×C4C23×D5912yes—
1395C22×C4C23×D5911yescharacteristic
1396C22×C4C23×D5911yescharacteristic
1397C22×C4C23×D5911yescharacteristic
1398C22×C4C23×D5918yescomplemented
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—594no—
1408C4⋊C4C23×D5914yescomplemented
1409C4⋊C4C23×D5918yescomplemented
1410C4⋊C4C23×D5914yescomplemented
1411C22⋊C4—594no—
1412C22⋊C4—598no—
1413C22⋊C4—598no—
1414C22⋊C4—594no—
1415C22⋊C4—598no—
1416C22⋊C4—594no—
1417C22⋊C4—594no—
1418C22⋊C4—598no—
1419C22⋊C4—594no—
1420C22⋊C4—594no—
1421C22⋊C4—598no—
1422C22⋊C4—598no—
1423C22⋊C4—598no—
1424C22⋊C4—598no—
1425C22⋊C4—598no—
1426C22⋊C4—598no—
1427C22⋊C4—594no—
1428C22⋊C4—598no—
1429C22⋊C4—598no—
1430C22⋊C4—594no—
1431C22⋊C4C23×D5918yes—
1432C22⋊C4C23×D5914yes—
1433C22⋊C4C23×D5918yescomplemented
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—216no—
1447C23—24no—
1448C23—22no—
1449C23—24no—
1450C23—22no—
1451C23—24no—
1452C23—216no—
1453C23—48no—
1454C23—432no—
1455C23—594no—
1456C23—598no—
1457C23—594no—
1458C23—592no—
1459C23—592no—
1460C23—594no—
1461C23—5932no—
1462C23—594no—
1463C23—594no—
1464C23—592no—
1465C23—1188no—
1466C23—1188no—
1467C23—11816no—
1468C23—11816no—
1469C23—11816no—
1470C23—11816no—
1471C23—11816no—
1472C23—11816no—
1473C23—11832no—
1474C23—1182no—
1475C23—1184no—
1476C23—1182no—
1477C23—1184no—
1478C23—1182no—
1479C23—1182no—
1480C23—1188no—
1481C23—11816no—
1482C23—1184no—
1483C23—1182no—
1484C23—11816no—
1485C23—1184no—
1486C23—1182no—
1487C23—1184no—
1488C23—1184no—
1489C23—1184no—
1490C23—1182no—
1491C23—1184no—
1492C23—11816no—
1493C23—47216no—
1494C23—47216no—
1495C23—2368no—
1496C23—2368no—
1497C23—2368no—
1498C23—2368no—
1499C23—23632no—
1500C23—2368no—
1501C23—2368no—
1502C23—2368no—
1503C23—2368no—
1504C23—2368no—
1505C23—2368no—
1506C23—2368no—
1507C23—23632no—
1508C23—23632no—
1509C23—23632no—
1510C23—236256no—
1511C23—23632no—
1512C23C2×D4×D5918yes—
1513C23#1427377314yescomplemented
1514C23C24×D5914yes—
1515C23C24×D5912yes—
1516C23C24×D5914yes—
1517C23C24×D5912yes—
1518C23C24×D5911yescharacteristic
1519Q8—28no—
1520Q8—1188no—
1521D4—216no—
1522D4—216no—
1523D4—28no—
1524D4—28no—
1525D4—48no—
1526D4—5932no—
1527D4—5916no—
1528D4—11816no—
1529D4—1188no—
1530D4—11816no—
1531D4—11816no—
1532D4—11816no—
1533D4—1188no—
1534D4—11816no—
1535D4—11816no—
1536D4—1188no—
1537D4—11816no—
1538D4—1188no—
1539D4—1188no—
1540D4—11816no—
1541D4—11816no—
1542D4—11816no—
1543D4—1188no—
1544D4—1188no—
1545D4—1188no—
1546D4—2368no—
1547D4—2368no—
1548D4—2368no—
1549D4—2368no—
1550D4—2368no—
1551D4—2368no—
1552D4—2368no—
1553D4C2×D4×D59116yescomplemented
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—216no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—28no—
1562C2×C4—28no—
1563C2×C4—48no—
1564C2×C4—594no—
1565C2×C4—592no—
1566C2×C4—5916no—
1567C2×C4—592no—
1568C2×C4—592no—
1569C2×C4—594no—
1570C2×C4—592no—
1571C2×C4—592no—
1572C2×C4—1188no—
1573C2×C4—11816no—
1574C2×C4—1188no—
1575C2×C4—11816no—
1576C2×C4—1188no—
1577C2×C4—1182no—
1578C2×C4—1182no—
1579C2×C4—1182no—
1580C2×C4—1184no—
1581C2×C4—1182no—
1582C2×C4—1188no—
1583C2×C4—1188no—
1584C2×C4—2368no—
1585C2×C4—2368no—
1586C2×C4—2368no—
1587C2×C4C2×D4×D5914yes—
1588C2×C4C24×D5914yes—
1589C2×C4C24×D5912yes—
1590C2×C4C24×D5912yes—
1591C2×C4C24×D5914yes—
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—22no—
1604C22—24no—
1605C22—22no—
1606C22—24no—
1607C22—432no—
1608C22—48no—
1609C22—44no—
1610C22—594no—
1611C22—598no—
1612C22—594no—
1613C22—11832no—
1614C22—1188no—
1615C22—1188no—
1616C22—11816no—
1617C22—1182no—
1618C22—1184no—
1619C22—1182no—
1620C22—1184no—
1621C22—1182no—
1622C22—1182no—
1623C22—1184no—
1624C22—1182no—
1625C22—1184no—
1626C22—1182no—
1627C22—1184no—
1628C22—1184no—
1629C22—1184no—
1630C22—1182no—
1631C22—1184no—
1632C22—47216no—
1633C22—47216no—
1634C22—23632no—
1635C22—23632no—
1636C22—23632no—
1637C22—23632no—
1638C22—23632no—
1639C22—2364no—
1640C22—2368no—
1641C22—2368no—
1642C22C22×D4×D5918yes—
1643C22C22×D4×D5912yes—
1644C22H(5,𝔽2)×D5912yes—
1645C22C2×#1427377312yes—
1646C22C2×#1427377314yescomplemented
1647C22C25×D5911yescharacteristic
1648C4—22no—
1649C4—22no—
1650C4—24no—
1651C4—22no—
1652C4—24no—
1653C4—22no—
1654C4—594no—
1655C4—1182no—
1656C4—1182no—
1657C4—1182no—
1658C4—1184no—
1659C4—1182no—
1660C4C22×D4×D5914yes—
1661C2—24no—
1662C2—28no—
1663C2—44no—
1664C2—42no—
1665C2—1184no—
1666C2—1184no—
1667C2—1188no—
1668C2—2362no—
1669C2—2364no—
1670C2—2364no—
1671C2#2143772614yesdirect product factor
1672C2C23×D4×D5911yescharacteristic
1673C2C2×H(5,𝔽2)×D5911yescharacteristic
1674C2C22×#1427377311yescharacteristic
subgroupG/H
centerC23C24×D59
commutator, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×C59×#546C2
socleC23×C59C25
hypercenterC2×#546D59
hypocenterC59C2×#3484
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. C22×#14273773C2semidirect
2. C23×D4×D59C2semidirect
3. #21437726C2direct (N × H)
4. C2×#16838045C2semidirect
5. C2×#16838044C2semidirect
6. C2×#16838043C2semidirect
7. C2×#16838042C2semidirect
8. C2×#16838040C2semidirect
9. C2×D4×D236C2semidirect
10. C2×D4×D236C2semidirect
11. C2×#16838036C2semidirect
12. C2×#16838036C2semidirect
13. C2×D4×C22⋊D59C2semidirect
14. C2×#16838034C2semidirect
15. C2×#16837970C2semidirect
16. C2×#16837968C2semidirect
17. C2×#16837963C2semidirect
18. C2×#16837960C2semidirect
19. C2×#16837915C2semidirect
20. C2×#16837911C2semidirect
21. C22×#14273697C2semidirect
22. C2×#120×D59C2semidirect
23. C2×#16837874C2semidirect
24. C2×C59×#546C2semidirect
25. C25×D59C22semidirect
27. C2×#14273773C22semidirect
28. C22×#11745689C22semidirect
29. C22×#11745689C22semidirect
30. C22×#11745685C22semidirect
31. C22×#11745685C22semidirect
32. C23×D236C22semidirect
33. C23×D236C22semidirect
34. C23×D236C22semidirect
35. C23×D236C22semidirect
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. C22×D4×D59C22semidirect
51. C23×C4×D59C22semidirect
52. #16838045C22semidirect
53. #16838044C22semidirect
54. #16838043C22semidirect
55. #16838042C22semidirect
56. #16838040C22semidirect
57. D4×D236C22semidirect
58. D4×D236C22semidirect
59. #16838036C22semidirect
60. #16838036C22semidirect
61. D4×C22⋊D59C22semidirect
62. #16838034C22semidirect
63. #16837970C22semidirect
64. #16837968C22semidirect
65. #16837963C22semidirect
66. #16837960C22semidirect
67. C2×#14273724C22semidirect
68. C2×#14273723C22semidirect
69. C2×#14273723C22semidirect
70. C2×#14273716C22semidirect
71. C2×#14273713C22semidirect
72. #16837915C22semidirect
73. #16837911C22semidirect
74. C2×#14273712C22semidirect
75. C2×#14273712C22semidirect
76. C2×#14273712C22semidirect
77. C2×#14273710C22semidirect
78. C2×#14273709C22semidirect
79. C2×#14273709C22semidirect
80. C2×#14273705C22semidirect
81. C2×#14273704C22semidirect
82. C2×#14273703C22semidirect
83. C2×#14273702C22semidirect
84. C2×#14273702C22semidirect
85. C2×#14273702C22semidirect
86. C2×#14273702C22semidirect
87. C2×#14273701C22semidirect
88. C2×#14273701C22semidirect
89. C2×#14273701C22semidirect
90. C2×#14273700C22semidirect
91. C2×#14273700C22semidirect
92. C2×#14273700C22semidirect
93. C2×#14273700C22semidirect
94. C2×#14273700C22semidirect
95. C2×#14273699C22semidirect
96. C2×#14273699C22semidirect
97. C2×#14273699C22semidirect
98. C2×#14273698C22semidirect
99. C2×#14273697C22semidirect
100. C2×#14273697C22semidirect
101. C2×#14273697C22semidirect
102. C2×#14273697C22semidirect
103. C2×#14273697C22semidirect
104. C2×#14273697C22semidirect
105. C2×#14273697C22semidirect
106. C2×#14273697C22semidirect
107. C2×#14273697C22semidirect
108. C2×#14273697C22semidirect
109. C2×#14273697C22semidirect
110. C2×#14273697C22semidirect
111. C2×#14273697C22semidirect
112. C2×#14273696C22semidirect
113. C2×#14273695C22semidirect
114. C2×#14273695C22semidirect
115. C2×#14273695C22semidirect
116. C2×#14273695C22semidirect
117. C2×#14273695C22semidirect
118. #120×D59C22semidirect
119. #16837874C22semidirect
120. C2×C4×D236C22semidirect
121. C2×C4×D236C22semidirect
122. C2×D4×Dic59C22semidirect
123. C2×#14273689C22semidirect
124. C2×#14273689C22semidirect
125. C2×C4×C22⋊D59C22semidirect
126. C2×C4×C22⋊D59C22semidirect
127. C2×C4×C22⋊D59C22semidirect
128. C2×(C22⋊D59)⋊C4C22semidirect
129. C2×(C22⋊D59)⋊C4C22semidirect
130. C2×#14273685C22semidirect
131. C2×#14273684C22semidirect
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. C22×#41×C59C22semidirect
138. C23×D4×C59C22semidirect
139. C59×#546C22semidirect
140. C2×#124×C59C22semidirect
141. C2×#123×C59C22semidirect
142. C2×C22⋊Q8×C59C22semidirect
143. C2×#121×C59C22semidirect
144. C2×#121×C59C22semidirect
145. C2×#120×C59C22semidirect
146. C2×C4×D4×C59C22semidirect
147. C2×C4×D4×C59C22semidirect
148. C22×C22⋊C4×C59C22semidirect
158. C24×D59C23semidirect
159. C24×D59C23semidirect
160. C24×D59C23semidirect
164. C2×#11745689C23semidirect
165. C2×#11745689C23semidirect
168. C2×#11745685C23semidirect
169. C2×#11745685C23semidirect
170. C22×Dic118C23semidirect
182. C22×D236C23semidirect
183. C22×D236C23semidirect
184. C22×D236C23semidirect
185. C22×D236C23semidirect
186. C22×D236C23semidirect
187. C22×D236C23semidirect
188. C22×D236C23semidirect
189. C22×D236C23semidirect
190. C22×D236C23semidirect
191. C22×D236C23semidirect
202. C22×C22⋊D59C23semidirect
203. C22×C22⋊D59C23semidirect
204. C22×C22⋊D59C23semidirect
205. C22×C22⋊D59C23semidirect
206. C22×C22⋊D59C23semidirect
207. C22×C22⋊D59C23semidirect
208. C22×C22⋊D59C23semidirect
209. C22×C22⋊D59C23semidirect
221. C2×D4×D59D4semidirect
223. C2×D4×D59C23semidirect
224. C2×D4×D59C23semidirect
225. C2×D4×D59C23semidirect
226. C2×D4×D59C23semidirect
227. C2×D4×D59C23semidirect
228. C2×D4×D59C23semidirect
229. C2×D4×D59C23semidirect
230. C2×D4×D59C23semidirect
231. C2×D4×D59C23semidirect
232. C2×D4×D59C23semidirect
234. C23×Dic59C23semidirect
240. C22×C4×D59C23semidirect
241. C22×C4×D59C23semidirect
242. C22×C4×D59C23semidirect
243. C22×C4×D59C23semidirect
244. C22×C4×D59C23semidirect
245. C22×C4×D59C23semidirect
246. #14273724C23semidirect
247. #14273723C23semidirect
248. #14273723C23semidirect
249. #14273716C23semidirect
250. #14273713C23semidirect
251. #14273712C23semidirect
252. #14273712C23semidirect
253. #14273712C23semidirect
254. #14273710C23semidirect
255. #14273709C23semidirect
256. #14273709C23semidirect
257. #14273705C23semidirect
258. #14273704C23semidirect
259. #14273703C23semidirect
260. #14273702C23semidirect
261. #14273702C23semidirect
262. #14273702C23semidirect
263. #14273702C23semidirect
264. #14273701C23semidirect
265. #14273701C23semidirect
266. #14273701C23semidirect
267. #14273700C23semidirect
268. #14273700C23semidirect
269. #14273700C23semidirect
270. #14273700C23semidirect
271. #14273700C23semidirect
272. #14273699C23semidirect
273. #14273699C23semidirect
274. #14273699C23semidirect
275. #14273698C23semidirect
276. #14273697C23semidirect
277. #14273697C23semidirect
278. #14273697C23semidirect
279. #14273697C23semidirect
280. #14273697C23semidirect
281. #14273697C23semidirect
282. #14273697C23semidirect
283. #14273697C23semidirect
284. #14273697C23semidirect
285. #14273697C23semidirect
286. #14273697C23semidirect
287. #14273697C23semidirect
288. #14273696C23semidirect
289. #14273695C23semidirect
290. #14273695C23semidirect
291. #14273695C23semidirect
292. #14273695C23semidirect
293. #14273695C23semidirect
294. C4×D236C23semidirect
295. C4×D236C23semidirect
296. D4×Dic59C23semidirect
297. #14273689C23semidirect
298. #14273689C23semidirect
299. C4×C22⋊D59C23semidirect
300. C4×C22⋊D59C23semidirect
301. C4×C22⋊D59C23semidirect
302. (C22⋊D59)⋊C4C23semidirect
303. (C22⋊D59)⋊C4C23semidirect
304. #14273685C23semidirect
305. #14273684C23semidirect
306. C2×C4⋊Dic59C23semidirect
307. C2×C4⋊Dic59C23semidirect
308. C2×Dic59⋊C4C23semidirect
309. C2×Dic59⋊C4C23semidirect
310. C2×Dic59⋊C4C23semidirect
311. C2×Dic59⋊C4C23semidirect
312. C2×Dic59⋊C4C23semidirect
314. C2×C22⋊Dic59C23semidirect
315. C2×C22⋊Dic59C23semidirect
316. C2×C22⋊Dic59C23semidirect
323. C2×(C2×D59)⋊C4C23semidirect
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. C2×(C2×D59)⋊C4C23semidirect
335. C22⋊C4×D59C23semidirect
336. C22⋊C4×D59C23semidirect
337. C22⋊C4×D59C23semidirect
338. C2×C4×Dic59C23semidirect
339. C2×C4×Dic59C23semidirect
342. C2×#41×C59C23semidirect
343. C22×Q8×C59C23semidirect
349. C22×D4×C59C23semidirect
350. C22×D4×C59C23semidirect
351. C22×D4×C59C23semidirect
353. C23×C4×C59C23semidirect
354. C23×C4×C59C23semidirect
355. C23×C4×C59C23semidirect
356. #124×C59C23semidirect
357. #123×C59C23semidirect
358. C22⋊Q8×C59C23semidirect
359. #121×C59C23semidirect
360. #121×C59C23semidirect
361. #120×C59C23semidirect
362. C4×D4×C59C23semidirect
363. C4×D4×C59C23semidirect
364. C2×C4⋊C4×C59C23semidirect
365. C2×C4⋊C4×C59C23semidirect
366. C2×C4⋊C4×C59C23semidirect
369. C2×C22⋊C4×C59C23semidirect
370. C2×C22⋊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
411. C23×D59C2×D4semidirect
424. C23×D59C24semidirect
425. C23×D59C24semidirect
428. C2×Q8×C59C24semidirect
435. C2×D4×C59C2×D4semidirect
440. C2×D4×C59C24semidirect
441. C2×D4×C59C24semidirect
454. C22×C4×C59C24semidirect
455. C22×C4×C59C24semidirect
456. C22×C4×C59C24semidirect
472. C2×C22⋊D59C2×D4semidirect
481. C2×C22⋊D59C24semidirect
482. C2×C22⋊D59C24semidirect
483. C2×C22⋊D59C24semidirect
484. C2×C22⋊D59C24semidirect
485. C2×C22⋊D59C24semidirect
486. C2×C22⋊D59C24semidirect
496. C22×Dic59C24semidirect
509. D4×D59C2×D4semidirect
528. C2×D236C2×D4semidirect
536. C2×D236C24semidirect
537. C2×D236C24semidirect
538. C2×D236C24semidirect
539. C2×D236C24semidirect
540. C2×D236C24semidirect
541. C2×D236C24semidirect
551. C2×C4×D59C2×D4semidirect
556. C2×C4×D59C24semidirect
557. C2×C4×D59C24semidirect
558. C2×C4×D59C24semidirect
559. C2×C4×D59C24semidirect
560. C2×C4×D59C24semidirect
562. C2×Dic118C24semidirect
563. C4⋊C4×C59C24semidirect
564. C4⋊C4×C59C24semidirect
565. C4⋊C4×C59C24semidirect
568. C22⋊C4×C59C24semidirect
569. C22⋊C4×C59C24semidirect
570. C22⋊C4×C59C24semidirect
571. C22⋊C4×C59C24semidirect
572. C22⋊C4×C59C24semidirect
573. C42×C59C24semidirect
575. C22⋊Dic59C24semidirect
576. C22⋊Dic59C24semidirect
577. C22⋊Dic59C24semidirect
584. (C2×D59)⋊C4C24semidirect
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. (C2×D59)⋊C4C24semidirect
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
618. C23×C59H(5,𝔽2)semidirect
673. C22×D59C22×D4semidirect
674. C22×D59H(5,𝔽2)semidirect
687. D4×C59C22×D4semidirect
719. C22⋊D59C22×D4semidirect
746. D236C22×D4semidirect
755. C4×D59C22×D4semidirect
777. C22×C59C2×H(5,𝔽2)semidirect
810. C2×D59C2×H(5,𝔽2)semidirect
832. C2×#546D59semidirect
852. C2×C59#3484semidirect
869. C22×#41C2×D59semidirect
889. C23×D4C2×D59semidirect
896. #546C2×D59semidirect
912. C2×#124C2×D59semidirect
921. C2×#123C2×D59semidirect
925. C2×C22⋊Q8C2×D59semidirect
942. C2×#121C2×D59semidirect
943. C2×#121C2×D59semidirect
964. C2×#120C2×D59semidirect
976. C2×C4×D4C2×D59semidirect
977. C2×C4×D4C2×D59semidirect
985. C22×C22⋊C4C2×D59semidirect
986. C59C2×#3484semidirect
1010. C2×#41C22×D59semidirect
1012. C22×Q8C22×D59semidirect
1080. C22×D4C22×D59semidirect
1081. C22×D4C22×D59semidirect
1082. C22×D4C22×D59semidirect
1097. C23×C4C22×D59semidirect
1098. C23×C4C22×D59semidirect
1099. C23×C4C22×D59semidirect
1105. #124C22×D59semidirect
1112. #123C22×D59semidirect
1116. C22⋊Q8C22×D59semidirect
1133. #121C22×D59semidirect
1134. #121C22×D59semidirect
1153. #120C22×D59semidirect
1164. C4×D4C22×D59semidirect
1165. C4×D4C22×D59semidirect
1175. C2×C4⋊C4C22×D59semidirect
1176. C2×C4⋊C4C22×D59semidirect
1177. C2×C4⋊C4C22×D59semidirect
1205. C2×C22⋊C4C22×D59semidirect
1206. C2×C22⋊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
1272. C2×Q8C23×D59semidirect
1350. C2×D4D4×D59semidirect
1355. C2×D4C23×D59semidirect
1356. C2×D4C23×D59semidirect
1398. C22×C4C23×D59semidirect
1399. C22×C4C23×D59semidirect
1400. C22×C4C23×D59semidirect
1408. C4⋊C4C23×D59semidirect
1409. C4⋊C4C23×D59semidirect
1410. C4⋊C4C23×D59semidirect
1433. C22⋊C4C23×D59semidirect
1434. C22⋊C4C23×D59semidirect
1435. C22⋊C4C23×D59semidirect
1436. C22⋊C4C23×D59semidirect
1437. C22⋊C4C23×D59semidirect
1440. C42C23×D59semidirect
1513. C23#14273773semidirect
1553. D4C2×D4×D59semidirect
1646. C22C2×#14273773semidirect
1671. C2#21437726direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#142737732
C23×D4×D592
#214377262
C2×#168380452
C2×#168380442
C2×#168380432
C2×#168380422
C2×#168380402
C2×D4×D2362
C2×#168380362
C2×D4×C22⋊D592
C2×#168380342
C2×#168379702
C2×#168379682
C2×#168379632
C2×#168379602
C2×#168379152
C2×#168379112
C22×#142736972
C2×#120×D592
C2×#168378742
C2×C59×#5462
C2×#348459