Finite Group Databasebeta

← C2×#21438422 #29496273

Subgroups — C2×#21438422 #29496273

Order 15104.

8814 conjugacy classes of subgroups.

The subgroup lattice has 1480 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438422C2132yesmaximal, direct product factor
2C2×#16838141C212yesmaximal, complemented
3C2×#16838140C212yesmaximal, complemented
4C2×#16838134C211yesmaximal, characteristic, complemented
5C2×#16838072C211yesmaximal, characteristic, complemented
6C2×#16838071C211yesmaximal, characteristic, complemented
7C2×#16838045C211yesmaximal, characteristic, complemented
8C2×#16838041C212yesmaximal, complemented
9C2×#16838040C211yesmaximal, characteristic, complemented
10C2×#16838037C211yesmaximal, characteristic, complemented
11C2×D4×C22⋊D59C211yesmaximal, characteristic, complemented
12C2×D4×C22⋊D59C211yesmaximal, characteristic, complemented
13C2×#16838034C212yesmaximal, complemented
14C2×#16838007C211yesmaximal, characteristic, complemented
15C2×#16838006C211yesmaximal, characteristic, complemented
16C2×#16838002C212yesmaximal, complemented
17C2×#16837970C211yesmaximal, characteristic, complemented
18C2×#16837967C212yesmaximal, complemented
19C2×#16837962C212yesmaximal, complemented
20C2×#16837960C212yesmaximal, complemented
21C2×#127×D59C211yesmaximal, characteristic, complemented
22C2×#16837931C211yesmaximal, characteristic, complemented
23C2×#16837930C211yesmaximal, characteristic, complemented
24C2×C59×#535C211yesmaximal, characteristic, complemented
25C22×#11745689C2211yescharacteristic, complemented
26C22×#11745687C2212yescomplemented
27C23×C22⋊D59C2212yescomplemented
28C23×C22⋊D59C2212yescomplemented
29C22×D4×D59C2212yescomplemented
30C22×D4×D59C2212yescomplemented
31C22×D4×D59C2211yescharacteristic, complemented
32C22×D4×D59C2211yescharacteristic, complemented
33C22×D4×D59C2211yescharacteristic, complemented
34C22×D4×D59C2212yescomplemented
35#16838141C22132yescomplemented
36#16838140C22132yescomplemented
37#16838134C22116yescomplemented
38#16838072C22116yescomplemented
39#16838071C22116yescomplemented
40#16838045C22116yescomplemented
41#16838041C22132yescomplemented
42#16838040C22116yescomplemented
43#16838037C22116yescomplemented
44D4×C22⋊D59C22116yescomplemented
45D4×C22⋊D59C22116yescomplemented
46#16838034C22132yescomplemented
47#16838007C22116yescomplemented
48#16838006C22116yescomplemented
49#16838002C22132yescomplemented
50#16837970C22116yescomplemented
51#16837967C22132yescomplemented
52#16837962C22132yescomplemented
53#16837960C22132yescomplemented
54C2×#14273724C2211yescharacteristic, complemented
55C2×#14273723C2211yescharacteristic
56C2×#14273723C2212yescomplemented
57C2×#14273723C2212yescomplemented
58C2×#14273723C2212yescomplemented
59C2×#14273723C2211yescharacteristic, complemented
60C2×#14273723C2211yescharacteristic, complemented
61#127×D59C22116yescomplemented
62#16837931C22116yescomplemented
63#16837930C22116yescomplemented
64C2×#14273722C2211yescharacteristic, complemented
65C2×#14273720C2212yescomplemented
66C2×#14273720C2211yescharacteristic, complemented
67C2×#14273719C2211yescharacteristic, complemented
68C2×#14273717C2211yescharacteristic, complemented
69C2×#14273716C2211yescharacteristic, complemented
70C2×#14273713C2212yescomplemented
71C2×#14273713C2211yescharacteristic, complemented
72C2×#14273712C2212yescomplemented
73C2×#14273712C2212yescomplemented
74C2×#14273712C2211yescharacteristic, complemented
75C2×#14273711C2212yescomplemented
76C2×#14273710C2212yescomplemented
77C2×#14273709C2212yescomplemented
78C2×#14273709C2212yescomplemented
79C2×#14273709C2211yescharacteristic, complemented
80C2×#14273709C2212yescomplemented
81C2×#14273708C2212yescomplemented
82C2×#14273708C2212yescomplemented
83C2×#14273705C2211yescharacteristic, complemented
84C2×#14273703C2211yescharacteristic, complemented
85C2×#14273701C2212yescomplemented
86C2×#14273701C2211yescharacteristic, complemented
87C2×#14273701C2211yescharacteristic, complemented
88C2×#14273700C2211yescharacteristic
89C2×#14273700C2212yescomplemented
90C2×#14273700C2212yescomplemented
91C2×#14273700C2212yescomplemented
92C2×#14273700C2212yescomplemented
93C2×#14273700C2212yescomplemented
94C2×#14273699C2212yescomplemented
95C2×#14273699C2212yescomplemented
96C2×#14273699C2212yescomplemented
97C2×#14273699C2212yescomplemented
98C2×#14273699C2212yescomplemented
99C2×#14273699C2212yescomplemented
100C2×#14273699C2212yescomplemented
101C2×#14273698C2211yescharacteristic
102C2×#14273698C2212yescomplemented
103C2×#14273698C2212yescomplemented
104C2×#14273698C2212yescomplemented
105C2×#14273698C2211yescharacteristic, complemented
106C2×#14273698C2211yescharacteristic, complemented
107C2×#14273697C2212yescomplemented
108C2×#14273697C2212yescomplemented
109C2×#14273697C2212yescomplemented
110C2×#14273696C2212yescomplemented
111C2×#14273696C2212yescomplemented
112C2×#14273695C2212yescomplemented
113C2×#14273695C2212yescomplemented
114C2×#14273695C2212yescomplemented
115C2×#14273695C2212yescomplemented
116C2×#14273695C2212yescomplemented
117C2×Q8×Dic59C2211yescharacteristic, complemented
118C2×C4×Dic118C2211yescharacteristic, complemented
119C2×C4×D236C2211yescharacteristic, complemented
120C2×C4×D236C2211yescharacteristic, complemented
121C2×C4×D236C2211yescharacteristic, complemented
122C2×D4×Dic59C2211yescharacteristic, complemented
123C2×D4×Dic59C2211yescharacteristic, complemented
124C2×D4×Dic59C2211yescharacteristic, complemented
125C2×C4×C22⋊D59C2212yescomplemented
126C2×C4×C22⋊D59C2211yescharacteristic, complemented
127C2×C4×C22⋊D59C2211yescharacteristic, complemented
128C2×(C22⋊D59)⋊C4C2212yescomplemented
129C2×(C22⋊D59)⋊C4C2212yescomplemented
130C2×#14273684C2211yescharacteristic, complemented
131C2×#14273683C2212yescomplemented
132C22×(C2×D59)⋊C4C2212yescomplemented
133C2×C22⋊C4×D59C2212yescomplemented
134C2×C42×D59C2211yescharacteristic, complemented
135C22×#41×C59C2211yescharacteristic, complemented
136C23×D4×C59C2211yescharacteristic, complemented
137C59×#535C22116yescomplemented
138C2×#127×C59C2211yescharacteristic, complemented
139C2×#127×C59C2211yescharacteristic, complemented
140C2×#124×C59C2211yescharacteristic, complemented
141C2×#124×C59C2211yescharacteristic, complemented
142C2×#121×C59C2212yescomplemented
143C2×#121×C59C2212yescomplemented
144C2×#120×C59C2212yescomplemented
145C2×#120×C59C2212yescomplemented
146C2×#117×C59C2211yescharacteristic, complemented
147C24×D59C2312yes—
148C24×D59C2312yes—
149C24×D59C2312yes—
150C2×#11745689—44no—
151C2×#11745689C2318yescomplemented
152C2×#11745687—48no—
153C2×#11745687C23116yescomplemented
154C22×Dic118C2311yescharacteristic
155C22×D236C2311yescharacteristic
156C22×D236C2311yescharacteristic
157C22×D236C2311yescharacteristic
158C22×D236C2312yes—
159C22×D236C2312yes—
160C22×D236C2312yes—
161C22×C22⋊D59—48no—
162C22×C22⋊D59—48no—
163C22×C22⋊D59C2312yes—
164C22×C22⋊D59C2312yes—
165C22×C22⋊D59C2312yes—
166C22×C22⋊D59C2311yescharacteristic
167C22×C22⋊D59C2311yescharacteristic
168C22×C22⋊D59C2312yes—
169C22×C22⋊D59C2312yes—
170C22×C22⋊D59C2312yes—
171C22×C22⋊D59C2312yes—
172C22×C22⋊D59C2312yes—
173C22×C22⋊D59C2312yes—
174C22×C22⋊D59C2312yes—
175C22×C22⋊D59C2312yes—
176C22×C22⋊D59C2312yes—
177C22×C22⋊D59C2312yes—
178C22×C22⋊D59C2312yes—
179C22×C22⋊D59C23116yescomplemented
180C22×C22⋊D59C23116yescomplemented
181C2×D4×D59—44no—
182C2×D4×D59—44no—
183C2×D4×D59—44no—
184C2×D4×D59—48no—
185C2×D4×D59—48no—
186C2×D4×D59—48no—
187C2×D4×D59C23116yescomplemented
188C2×D4×D59C23116yescomplemented
189C2×D4×D59C2318yescomplemented
190C2×D4×D59C2318yescomplemented
191C2×D4×D59C23116yescomplemented
192C2×D4×D59C2318yescomplemented
193C23×Dic59C2312yes—
194C23×Dic59C2312yes—
195C23×Dic59C2312yes—
196C22×C4×D59C2311yescharacteristic
197C22×C4×D59C2311yescharacteristic
198C22×C4×D59C2311yescharacteristic
199C22×C4×D59C2311yescharacteristic
200C22×C4×D59C2312yes—
201C22×C4×D59C2312yes—
202C22×C4×D59C2312yes—
203#14273724C2318yescomplemented
204#14273723C2318yes—
205#14273723C23116yescomplemented
206#14273723C2318yescomplemented
207#14273723C23116yescomplemented
208#14273723C23116yescomplemented
209#14273723C2318yescomplemented
210#14273722C2318yescomplemented
211#14273720C2318yescomplemented
212#14273720C23116yescomplemented
213#14273719C2318yescomplemented
214#14273717C2318yescomplemented
215#14273716C2318yescomplemented
216#14273713C2318yescomplemented
217#14273713C23116yescomplemented
218#14273712C2318yescomplemented
219#14273712C23116yescomplemented
220#14273712C23116yescomplemented
221#14273711C23116yescomplemented
222#14273710C23116yescomplemented
223#14273709C2318yescomplemented
224#14273709C23116yescomplemented
225#14273709C23116yescomplemented
226#14273709C23116yescomplemented
227#14273708C23116yescomplemented
228#14273708C23116yescomplemented
229#14273705C2318yescomplemented
230#14273703C2318yescomplemented
231#14273701C23116yescomplemented
232#14273701C2318yescomplemented
233#14273701C2318yescomplemented
234#14273700C2318yes—
235#14273700C23116yescomplemented
236#14273700C23116yescomplemented
237#14273700C23116yescomplemented
238#14273700C23116yescomplemented
239#14273700C23116yescomplemented
240#14273699C23116yescomplemented
241#14273699C23116yescomplemented
242#14273699C23116yescomplemented
243#14273699C23116yescomplemented
244#14273699C23116yescomplemented
245#14273699C23116yescomplemented
246#14273699C23116yescomplemented
247#14273698C2318yes—
248#14273698C23116yescomplemented
249#14273698C23116yescomplemented
250#14273698C23116yescomplemented
251#14273698C2318yescomplemented
252#14273698C2318yescomplemented
253#14273697C23116yescomplemented
254#14273697C23116yescomplemented
255#14273697C23116yescomplemented
256#14273696C23116yescomplemented
257#14273696C23116yescomplemented
258#14273695C23116yescomplemented
259#14273695C23116yescomplemented
260#14273695C23116yescomplemented
261#14273695C23116yescomplemented
262#14273695C23116yescomplemented
263Q8×Dic59C2318yescomplemented
264C4×Dic118C2318yescomplemented
265C4×D236C2318yescomplemented
266C4×D236C2318yescomplemented
267C4×D236C2318yescomplemented
268D4×Dic59C2318yescomplemented
269D4×Dic59C2318yescomplemented
270D4×Dic59C2318yescomplemented
271C4×C22⋊D59C2318yescomplemented
272C4×C22⋊D59C2318yescomplemented
273C4×C22⋊D59C23116yescomplemented
274(C22⋊D59)⋊C4C23116yescomplemented
275(C22⋊D59)⋊C4C23116yescomplemented
276#14273684C2318yescomplemented
277#14273683C23116yescomplemented
278C2×C4⋊Dic59C2311yescharacteristic
279C2×C4⋊Dic59C2311yescharacteristic
280C2×C4⋊Dic59C2311yescharacteristic
281C2×C4⋊Dic59C2311yescharacteristic
282C2×C4⋊Dic59C2312yes—
283C2×Dic59⋊C4C2311yescharacteristic
284C2×Dic59⋊C4C2311yescharacteristic
285C2×Dic59⋊C4C2311yescharacteristic
286C2×Dic59⋊C4C2311yescharacteristic
287C2×Dic59⋊C4C2312yes—
288C2×Dic59⋊C4C2312yes—
289C2×Dic59⋊C4C2312yes—
290C2×Dic59⋊C4C2311yescharacteristic
291C2×Dic59⋊C4C2311yescharacteristic
292C2×C22⋊Dic59C2311yescharacteristic
293C2×C22⋊Dic59C2311yescharacteristic
294C2×C22⋊Dic59C2312yes—
295C2×C22⋊Dic59C2312yes—
296C2×C22⋊Dic59C2312yes—
297C2×C22⋊Dic59C2312yes—
298C2×C22⋊Dic59C2312yes—
299C2×C22⋊Dic59C2312yes—
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2312yes—
303C2×(C2×D59)⋊C4C2312yes—
304C2×(C2×D59)⋊C4C2312yes—
305C2×(C2×D59)⋊C4C2312yes—
306C2×(C2×D59)⋊C4C2312yes—
307C2×(C2×D59)⋊C4C2312yes—
308C2×(C2×D59)⋊C4C2311yescharacteristic
309C2×(C2×D59)⋊C4C2312yes—
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C2×(C2×D59)⋊C4C2311yescharacteristic
313C2×(C2×D59)⋊C4C23116yescomplemented
314C22⋊C4×D59C23116yescomplemented
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2312yes—
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C42×D59C2318yescomplemented
321C25×C59C2312yes—
322C2×#41×C59—44no—
323C2×#41×C59C2318yescomplemented
324C22×Q8×C59C2311yescharacteristic
325C22×D4×C59—44no—
326C22×D4×C59C2311yescharacteristic
327C22×D4×C59C2311yescharacteristic
328C22×D4×C59C2311yescharacteristic
329C22×D4×C59C2312yes—
330C22×D4×C59C2312yes—
331C22×D4×C59C2312yes—
332C22×D4×C59C2312yes—
333C22×D4×C59C2312yes—
334C22×D4×C59C2312yes—
335C22×D4×C59C2318yescomplemented
336C23×C4×C59C2311yescharacteristic
337C23×C4×C59C2312yes—
338#127×C59C2318yescomplemented
339#127×C59C2318yescomplemented
340#124×C59C2318yescomplemented
341#124×C59C2318yescomplemented
342#121×C59C23116yescomplemented
343#121×C59C23116yescomplemented
344#120×C59C23116yescomplemented
345#120×C59C23116yescomplemented
346#117×C59C2318yescomplemented
347C2×C4⋊C4×C59C2311yescharacteristic
348C2×C4⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2312yes—
350C2×C22⋊C4×C59C2312yes—
351C2×C22⋊C4×C59C2312yes—
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2312yes—
355C2×C42×C59C2311yescharacteristic
356C2×C42×C59C2311yescharacteristic
357C24×C59—44no—
358C24×C59—44no—
359C24×C59—44no—
360C24×C59C2411yescharacteristic
361C24×C59C2412yes—
362C24×C59C2412yes—
363C24×C59C2412yes—
364C24×C59C2418yes—
365C23×D59—28no—
366C23×D59—28no—
367C23×D59—44no—
368C23×D59—44no—
369C23×D59—44no—
370C23×D59—44no—
371C23×D59—44no—
372C23×D59—44no—
373C23×D59—44no—
374C23×D59C2411yescharacteristic
375C23×D59C2412yes—
376C23×D59C2412yes—
377C23×D59C2411yescharacteristic
378C23×D59C2418yes—
379C23×D59C2418yes—
380C23×D59C2418yes—
381#41×C59—416no—
382C2×Q8×C59—24no—
383C2×Q8×C59C2414yes—
384C2×D4×C59—24no—
385C2×D4×C59—24no—
386C2×D4×C59—24no—
387C2×D4×C59—416no—
388C2×D4×C59—44no—
389C2×D4×C59—44no—
390C2×D4×C59—44no—
391C2×D4×C59—44no—
392C2×D4×C59—44no—
393C2×D4×C59—44no—
394C2×D4×C59C2414yes—
395C2×D4×C59C2414yes—
396C2×D4×C59C2414yes—
397C2×D4×C59C2418yes—
398C2×D4×C59C2418yes—
399C2×D4×C59C2418yes—
400C2×D4×C59C2418yes—
401C2×D4×C59C2418yes—
402C2×D4×C59C2418yes—
403C22×C4×C59—24no—
404C22×C4×C59—44no—
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2412yes—
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2414yes—
412C22×C4×C59C2418yes—
413C22×C4×C59C2411yescharacteristic
414C2×C22⋊D59—28no—
415C2×C22⋊D59—24no—
416C2×C22⋊D59—28no—
417C2×C22⋊D59—28no—
418C2×C22⋊D59—24no—
419C2×C22⋊D59—432no—
420C2×C22⋊D59—44no—
421C2×C22⋊D59—44no—
422C2×C22⋊D59—44no—
423C2×C22⋊D59—44no—
424C2×C22⋊D59—44no—
425C2×C22⋊D59—44no—
426C2×C22⋊D59—44no—
427C2×C22⋊D59—44no—
428C2×C22⋊D59—44no—
429C2×C22⋊D59—44no—
430C2×C22⋊D59—44no—
431C2×C22⋊D59—432no—
432C2×C22⋊D59C2418yes—
433C2×C22⋊D59C2418yes—
434C2×C22⋊D59C2414yes—
435C2×C22⋊D59C2418yes—
436C2×C22⋊D59C2414yes—
437C2×C22⋊D59C2418yes—
438C2×C22⋊D59C2418yes—
439C2×C22⋊D59C2418yes—
440C2×C22⋊D59C2418yes—
441C2×C22⋊D59C2418yes—
442C2×C22⋊D59C2418yes—
443C2×C22⋊D59C2418yes—
444C2×C22⋊D59C2418yes—
445C2×C22⋊D59C2418yes—
446C2×C22⋊D59C2418yes—
447C2×C22⋊D59C2418yes—
448C22×Dic59—28no—
449C22×Dic59—44no—
450C22×Dic59—44no—
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2412yes—
456C22×Dic59C2412yes—
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2418yes—
459C22×Dic59C2418yes—
460C22×Dic59C2418yes—
461C22×Dic59C2411yescharacteristic
462#11745689—416no—
463#11745687—432no—
464D4×D59—416no—
465D4×D59—416no—
466D4×D59—416no—
467D4×D59—432no—
468D4×D59—432no—
469D4×D59—432no—
470C2×D236—24no—
471C2×D236—24no—
472C2×D236—24no—
473C2×D236—44no—
474C2×D236—44no—
475C2×D236—44no—
476C2×D236C2414yes—
477C2×D236C2414yes—
478C2×D236C2414yes—
479C2×D236C2418yes—
480C2×D236C2418yes—
481C2×D236C2418yes—
482C2×C4×D59—24no—
483C2×C4×D59—24no—
484C2×C4×D59—24no—
485C2×C4×D59—24no—
486C2×C4×D59—44no—
487C2×C4×D59—44no—
488C2×C4×D59—44no—
489C2×C4×D59C2414yes—
490C2×C4×D59C2414yes—
491C2×C4×D59C2414yes—
492C2×C4×D59C2414yes—
493C2×C4×D59C2418yes—
494C2×C4×D59C2418yes—
495C2×C4×D59C2418yes—
496C2×Dic118—24no—
497C2×Dic118C2414yes—
498C4⋊C4×C59C2414yes—
499C4⋊C4×C59C2414yes—
500C22⋊C4×C59C2414yes—
501C22⋊C4×C59C2414yes—
502C22⋊C4×C59C2418yes—
503C22⋊C4×C59C2418yes—
504C22⋊C4×C59C2418yes—
505C22⋊C4×C59C2418yes—
506C42×C59C2414yes—
507C42×C59C2414yes—
508C22⋊Dic59C2418yes—
509C22⋊Dic59C2418yes—
510C22⋊Dic59C2418yes—
511C22⋊Dic59C2414yes—
512C22⋊Dic59C2414yes—
513C22⋊Dic59C2418yes—
514C22⋊Dic59C2418yes—
515C22⋊Dic59C2418yes—
516(C2×D59)⋊C4C2414yes—
517(C2×D59)⋊C4C2418yes—
518(C2×D59)⋊C4C2414yes—
519(C2×D59)⋊C4C2418yes—
520(C2×D59)⋊C4C2418yes—
521(C2×D59)⋊C4C2414yes—
522(C2×D59)⋊C4C2414yes—
523(C2×D59)⋊C4C2418yes—
524(C2×D59)⋊C4C2414yes—
525(C2×D59)⋊C4C2418yes—
526(C2×D59)⋊C4C2414yes—
527(C2×D59)⋊C4C2418yes—
528(C2×D59)⋊C4C2418yes—
529C4⋊Dic59C2414yes—
530C4⋊Dic59C2414yes—
531C4⋊Dic59C2414yes—
532C4⋊Dic59C2414yes—
533C4⋊Dic59C2418yes—
534Dic59⋊C4C2418yes—
535Dic59⋊C4C2418yes—
536Dic59⋊C4C2414yes—
537Dic59⋊C4C2414yes—
538Dic59⋊C4C2414yes—
539Dic59⋊C4C2418yes—
540Dic59⋊C4C2414yes—
541Dic59⋊C4C2414yes—
542Dic59⋊C4C2414yes—
543C4×Dic59C2414yes—
544C4×Dic59C2414yes—
545C4×Dic59C2414yes—
546C4×Dic59C2418yes—
547C4×Dic59C2414yes—
548C23×C59—24no—
549C23×C59—24no—
550C23×C59—24no—
551C23×C59—22no—
552C23×C59—22no—
553C23×C59—24no—
554C23×C59—24no—
555C23×C59—24no—
556C23×C59—24no—
557C23×C59—24no—
558C23×C59—24no—
559C23×C59—22no—
560C23×C59—48no—
561C23×C59—48no—
562C23×C59—48no—
563C23×C59—816no—
564C23×C59C2514yes—
565C23×C59C2514yes—
566C23×C59C2512yes—
567C23×C59C2514yes—
568C23×C59C2511yescharacteristic
569C22×D59—22no—
570C22×D59—22no—
571C22×D59—22no—
572C22×D59—24no—
573C22×D59—24no—
574C22×D59—24no—
575C22×D59—22no—
576C22×D59—24no—
577C22×D59—24no—
578C22×D59—24no—
579C22×D59—22no—
580C22×D59—216no—
581C22×D59—216no—
582C22×D59—48no—
583C22×D59—48no—
584C22×D59—48no—
585C22×D59—48no—
586C22×D59—48no—
587C22×D59—48no—
588C22×D59—48no—
589C22×D59—816no—
590C22×D59—816no—
591C22×D59—816no—
592C22×D59H(5,𝔽2)14yes—
593C22×D59C2512yes—
594C22×D59C2514yes—
595C22×D59C2514yes—
596C22×D59C2512yes—
597Q8×C59—28no—
598D4×C59—28no—
599D4×C59—28no—
600D4×C59—28no—
601D4×C59—48no—
602D4×C59—48no—
603D4×C59—48no—
604D4×C59—48no—
605D4×C59—48no—
606D4×C59—48no—
607C2×C4×C59—22no—
608C2×C4×C59—22no—
609C2×C4×C59—22no—
610C2×C4×C59—22no—
611C2×C4×C59—24no—
612C2×C4×C59—22no—
613C2×C4×C59—28no—
614C2×C4×C59—48no—
615C2×C4×C59H(5,𝔽2)14yes—
616C2×C4×C59C2512yes—
617C2×C4×C59C2512yes—
618C2×C4×C59C2514yes—
619C2×C4×C59C2512yes—
620C2×C4×C59C2512yes—
621C2×C4×C59C2512yes—
622C2×C4×C59C2512yes—
623C22⋊D59—216no—
624C22⋊D59—28no—
625C22⋊D59—216no—
626C22⋊D59—216no—
627C22⋊D59—28no—
628C22⋊D59—48no—
629C22⋊D59—48no—
630C22⋊D59—48no—
631C22⋊D59—48no—
632C22⋊D59—48no—
633C22⋊D59—48no—
634C22⋊D59—48no—
635C22⋊D59—48no—
636C22⋊D59—48no—
637C22⋊D59—48no—
638C22⋊D59—48no—
639C2×Dic59—22no—
640C2×Dic59—22no—
641C2×Dic59—22no—
642C2×Dic59—22no—
643C2×Dic59—24no—
644C2×Dic59—24no—
645C2×Dic59—22no—
646C2×Dic59—216no—
647C2×Dic59—48no—
648C2×Dic59—48no—
649C2×Dic59H(5,𝔽2)14yes—
650C2×Dic59C2512yes—
651C2×Dic59C2512yes—
652C2×Dic59C2512yes—
653C2×Dic59C2514yes—
654C2×Dic59C2512yes—
655C2×Dic59C2514yes—
656C2×Dic59C2512yes—
657C2×Dic59C2512yes—
658D236—28no—
659D236—28no—
660D236—28no—
661D236—48no—
662D236—48no—
663D236—48no—
664C4×D59—28no—
665C4×D59—28no—
666C4×D59—28no—
667C4×D59—28no—
668C4×D59—48no—
669C4×D59—48no—
670C4×D59—48no—
671Dic118—28no—
672C2×#3543—591nomaximal, Sylow
673C22×C59—24no—
674C22×C59—24no—
675C22×C59—24no—
676C22×C59—22no—
677C22×C59—22no—
678C22×C59—24no—
679C22×C59—24no—
680C22×C59—24no—
681C22×C59—24no—
682C22×C59—24no—
683C22×C59—24no—
684C22×C59—22no—
685C22×C59—48no—
686C22×C59—48no—
687C22×C59—48no—
688C22×C59—44no—
689C22×C59—816no—
690C22×C59C2×H(5,𝔽2)12yes—
691C22×C59C2×H(5,𝔽2)12yes—
692C22×C59C2×H(5,𝔽2)12yes—
693C22×C59C2611yescharacteristic
694C2×D59—22no—
695C2×D59—22no—
696C2×D59—28no—
697C2×D59—22no—
698C2×D59—24no—
699C2×D59—24no—
700C2×D59—24no—
701C2×D59—22no—
702C2×D59—24no—
703C2×D59—24no—
704C2×D59—24no—
705C2×D59—22no—
706C2×D59—48no—
707C2×D59—44no—
708C2×D59—48no—
709C2×D59—816no—
710C2×D59—816no—
711C2×D59—816no—
712C2×D59C2×H(5,𝔽2)14yes—
713C4×C59—22no—
714C4×C59—22no—
715C4×C59—22no—
716C4×C59—22no—
717C4×C59—24no—
718C4×C59—22no—
719C4×C59C2×H(5,𝔽2)14yes—
720Dic59—22no—
721Dic59—22no—
722Dic59—22no—
723Dic59—22no—
724Dic59—24no—
725Dic59—24no—
726Dic59—22no—
727Dic59C2×H(5,𝔽2)14yes—
728#3543—5932no—
729C2×#560—592no—
730C2×#560—592no—
731C2×#559—591no—
732C2×#550—591no—
733C2×#550—591no—
734C2×#546—591no—
735C2×#546—591no—
736C2×#546—592no—
737C2×D42—591no—
738C2×D42—591no—
739C2×D42—591no—
740C2×D42—592no—
741C2×#540—591no—
742C2×#540—592no—
743C2×#540—591no—
744C2×#535—591no—
745C2×#535—592no—
746C2×#535D5911yescharacteristic, complemented
747C2×#534—592no—
748C2×#534—592no—
749C22×#127—591no—
750C2×#529—591no—
751C2×#529—591no—
752C2×C59—44no—
753C2×C59—44no—
754C2×C59—44no—
755C2×C59—42no—
756C2×C59#354314yescomplemented
757C2×C59C22×H(5,𝔽2)11yescharacteristic
758C2×C59C22×H(5,𝔽2)11yescharacteristic
759C2×C59C22×H(5,𝔽2)11yescharacteristic
760D59—24no—
761D59—44no—
762D59—42no—
763D59—44no—
764C22×#41—591no—
765C22×#41—592no—
766C22×#41C2×D5911yescharacteristic, complemented
767C23×D4—592no—
768C23×D4—592no—
769C23×D4—592no—
770C23×D4—592no—
771C23×D4—591no—
772C23×D4—591no—
773C23×D4—592no—
774C23×D4—591no—
775C23×D4C2×D5911yescharacteristic, complemented
776#560—5932no—
777#560—5932no—
778#559—5916no—
779#550—5916no—
780#550—5916no—
781#546—5916no—
782#546—5916no—
783#546—5932no—
784D42—5916no—
785D42—5916no—
786D42—5916no—
787D42—5932no—
788#540—5916no—
789#540—5932no—
790#540—5916no—
791#535—5916no—
792#535—5932no—
793#535C2×D59116yescomplemented
794#534—5932no—
795#534—5932no—
796C2×#127—591no—
797C2×#127—592no—
798C2×#127—591no—
799C2×#127—592no—
800C2×#127—592no—
801C2×#127—591no—
802C2×#127—5916no—
803C2×#127—591no—
804C2×#127C2×D5911yescharacteristic, complemented
805C2×#127C2×D5911yescharacteristic, complemented
806#529—5916no—
807#529—5916no—
808C2×#126—591no—
809C2×#126—592no—
810C2×#126—591no—
811C2×#125—591no—
812C2×#125—591no—
813C2×#124—591no—
814C2×#124—591no—
815C2×#124—592no—
816C2×#124C2×D5911yescharacteristic, complemented
817C2×#124C2×D5911yescharacteristic, complemented
818C2×#123—592no—
819C2×#123—592no—
820C2×#123—592no—
821C2×#123—591no—
822C2×#123—592no—
823C2×#123—592no—
824C2×#123—592no—
825C2×#123—591no—
826C2×#123—592no—
827C2×#123—592no—
828C2×#123—592no—
829C2×C22⋊Q8—591no—
830C2×C22⋊Q8—591no—
831C2×#121—591no—
832C2×#121—592no—
833C2×#121—592no—
834C2×#121—591no—
835C2×#121—591no—
836C2×#121—592no—
837C2×#121—592no—
838C2×#121—592no—
839C2×#121—592no—
840C2×#121—592no—
841C2×#121—592no—
842C2×#121—592no—
843C2×#121—592no—
844C2×#121—592no—
845C2×#121—591no—
846C2×#121—591no—
847C2×#121—591no—
848C2×#121—592no—
849C2×#121—592no—
850C2×#121—592no—
851C2×#121—592no—
852C2×#121—592no—
853C2×#121C2×D5912yescomplemented
854C2×#121C2×D5912yescomplemented
855C2×#120—592no—
856C2×#120—592no—
857C2×#120—592no—
858C2×#120—592no—
859C2×#120—592no—
860C2×#120—592no—
861C2×#120—592no—
862C2×#120—592no—
863C2×#120—592no—
864C2×#120—592no—
865C2×#120C2×D5912yescomplemented
866C2×#120C2×D5912yescomplemented
867C2×C4×Q8—591no—
868C2×C4×Q8—591no—
869C2×C4×D4—591no—
870C2×C4×D4—591no—
871C2×C4×D4—591no—
872C2×C4×D4—591no—
873C2×C4×D4—591no—
874C2×C4×D4—592no—
875C2×C4×D4—592no—
876C2×C4×D4—592no—
877C2×C4×D4—591no—
878C2×C4×D4—591no—
879C2×C4×D4—591no—
880C2×#117—592no—
881C2×#117—591no—
882C2×#117C2×D5911yescharacteristic, complemented
883C22×C22⋊C4—592no—
884C22×C22⋊C4—592no—
885C22×C42—591no—
886C59C2×#354311yescharacteristic, complemented, Sylow
887C25—592no—
888C25—592no—
889C25—592no—
890C25C22×D5912yes—
891C2×#41—44no—
892C2×#41—598no—
893C2×#41—5916no—
894C2×#41—2368no—
895C2×#41—2364no—
896C2×#41C22×D5918yescomplemented
897C22×Q8—591no—
898C22×Q8C22×D5911yescharacteristic
899C22×D4—44no—
900C22×D4—592no—
901C22×D4—591no—
902C22×D4—592no—
903C22×D4—591no—
904C22×D4—592no—
905C22×D4—592no—
906C22×D4—592no—
907C22×D4—592no—
908C22×D4—592no—
909C22×D4—592no—
910C22×D4—592no—
911C22×D4—592no—
912C22×D4—592no—
913C22×D4—592no—
914C22×D4—592no—
915C22×D4—592no—
916C22×D4—5916no—
917C22×D4—5916no—
918C22×D4—5916no—
919C22×D4—5916no—
920C22×D4—598no—
921C22×D4—598no—
922C22×D4—5916no—
923C22×D4—598no—
924C22×D4—591no—
925C22×D4—591no—
926C22×D4—591no—
927C22×D4—592no—
928C22×D4—592no—
929C22×D4—592no—
930C22×D4—2364no—
931C22×D4—2364no—
932C22×D4—2364no—
933C22×D4—2368no—
934C22×D4—2368no—
935C22×D4—2368no—
936C22×D4—2368no—
937C22×D4—2368no—
938C22×D4C22×D5911yescharacteristic
939C22×D4C22×D5911yescharacteristic
940C22×D4C22×D5911yescharacteristic
941C22×D4C22×D5912yes—
942C22×D4C22×D5912yes—
943C22×D4C22×D5912yes—
944C22×D4C22×D5912yes—
945C22×D4C22×D5912yes—
946C22×D4C22×D5912yes—
947C22×D4C22×D5918yescomplemented
948C23×C4—592no—
949C23×C4—592no—
950C23×C4—592no—
951C23×C4—591no—
952C23×C4—591no—
953C23×C4—591no—
954C23×C4—591no—
955C23×C4—592no—
956C23×C4—592no—
957C23×C4—592no—
958C23×C4C22×D5911yescharacteristic
959C23×C4C22×D5912yes—
960#127—5916no—
961#127—598no—
962#127—598no—
963#127—5916no—
964#127—5916no—
965#127—598no—
966#127—598no—
967#127C22×D5918yescomplemented
968#127C22×D5918yescomplemented
969#126—598no—
970#126—5916no—
971#126—598no—
972#125—598no—
973#125—598no—
974#124—598no—
975#124—598no—
976#124—5916no—
977#124C22×D5918yescomplemented
978#124C22×D5918yescomplemented
979#123—5916no—
980#123—5916no—
981#123—5916no—
982#123—598no—
983#123—5916no—
984#123—5916no—
985#123—5916no—
986#123—598no—
987#123—5916no—
988#123—5916no—
989#123—5916no—
990C22⋊Q8—598no—
991C22⋊Q8—598no—
992#121—598no—
993#121—5916no—
994#121—5916no—
995#121—5916no—
996#121—5916no—
997#121—5916no—
998#121—598no—
999#121—5916no—
1000#121—598no—
1001#121—5916no—
1002#121—5916no—
1003#121—5916no—
1004#121—5916no—
1005#121—5916no—
1006#121—598no—
1007#121—598no—
1008#121—598no—
1009#121—5916no—
1010#121—5916no—
1011#121—5916no—
1012#121—5916no—
1013#121—5916no—
1014#121C22×D59116yescomplemented
1015#121C22×D59116yescomplemented
1016#120—5916no—
1017#120—5916no—
1018#120—5916no—
1019#120—5916no—
1020#120—5916no—
1021#120—5916no—
1022#120—5916no—
1023#120—5916no—
1024#120—5916no—
1025#120—5916no—
1026#120C22×D59116yescomplemented
1027#120C22×D59116yescomplemented
1028C4×Q8—598no—
1029C4×Q8—598no—
1030C4×D4—598no—
1031C4×D4—598no—
1032C4×D4—598no—
1033C4×D4—598no—
1034C4×D4—598no—
1035C4×D4—5916no—
1036C4×D4—5916no—
1037C4×D4—5916no—
1038C4×D4—598no—
1039C4×D4—598no—
1040C4×D4—598no—
1041#117—5916no—
1042#117—598no—
1043#117C22×D5918yescomplemented
1044C2×C4⋊C4—592no—
1045C2×C4⋊C4—591no—
1046C2×C4⋊C4—592no—
1047C2×C4⋊C4—591no—
1048C2×C4⋊C4—591no—
1049C2×C4⋊C4—591no—
1050C2×C4⋊C4—591no—
1051C2×C4⋊C4—591no—
1052C2×C4⋊C4—591no—
1053C2×C4⋊C4—592no—
1054C2×C4⋊C4—591no—
1055C2×C4⋊C4—591no—
1056C2×C4⋊C4—592no—
1057C2×C4⋊C4—591no—
1058C2×C4⋊C4C22×D5911yescharacteristic
1059C2×C4⋊C4C22×D5911yescharacteristic
1060C2×C22⋊C4—592no—
1061C2×C22⋊C4—592no—
1062C2×C22⋊C4—592no—
1063C2×C22⋊C4—591no—
1064C2×C22⋊C4—591no—
1065C2×C22⋊C4—592no—
1066C2×C22⋊C4—592no—
1067C2×C22⋊C4—592no—
1068C2×C22⋊C4—591no—
1069C2×C22⋊C4—592no—
1070C2×C22⋊C4—591no—
1071C2×C22⋊C4—592no—
1072C2×C22⋊C4—592no—
1073C2×C22⋊C4—5916no—
1074C2×C22⋊C4—591no—
1075C2×C22⋊C4—591no—
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—592no—
1079C2×C22⋊C4—592no—
1080C2×C22⋊C4—592no—
1081C2×C22⋊C4—592no—
1082C2×C22⋊C4—5916no—
1083C2×C22⋊C4C22×D5912yes—
1084C2×C22⋊C4C22×D5912yes—
1085C2×C22⋊C4C22×D5911yescharacteristic
1086C2×C22⋊C4C22×D5911yescharacteristic
1087C2×C22⋊C4C22×D5912yes—
1088C2×C22⋊C4C22×D5912yes—
1089C2×C42—591no—
1090C2×C42—592no—
1091C2×C42—591no—
1092C2×C42—591no—
1093C2×C42—591no—
1094C2×C42—598no—
1095C2×C42C22×D5911yescharacteristic
1096C2×C42C22×D5911yescharacteristic
1097C24—44no—
1098C24—44no—
1099C24—44no—
1100C24—591no—
1101C24—592no—
1102C24—591no—
1103C24—592no—
1104C24—598no—
1105C24—598no—
1106C24—598no—
1107C24—1188no—
1108C24—1188no—
1109C24—2364no—
1110C24—2364no—
1111C24—2364no—
1112C24—2364no—
1113C24—2364no—
1114C24—2364no—
1115C24—2364no—
1116C24C23×D5912yes—
1117C24C23×D5912yes—
1118C24C23×D5911yescharacteristic
1119C24C23×D5912yes—
1120C24C23×D5918yes—
1121#41—416no—
1122#41—23632no—
1123#41—23616no—
1124C2×Q8—24no—
1125C2×Q8—594no—
1126C2×Q8—1184no—
1127C2×Q8C23×D5914yes—
1128C2×D4—24no—
1129C2×D4—24no—
1130C2×D4—24no—
1131C2×D4—416no—
1132C2×D4—44no—
1133C2×D4—44no—
1134C2×D4—44no—
1135C2×D4—44no—
1136C2×D4—44no—
1137C2×D4—44no—
1138C2×D4—598no—
1139C2×D4—594no—
1140C2×D4—598no—
1141C2×D4—594no—
1142C2×D4—598no—
1143C2×D4—598no—
1144C2×D4—598no—
1145C2×D4—598no—
1146C2×D4—598no—
1147C2×D4—598no—
1148C2×D4—598no—
1149C2×D4—598no—
1150C2×D4—598no—
1151C2×D4—598no—
1152C2×D4—598no—
1153C2×D4—598no—
1154C2×D4—594no—
1155C2×D4—594no—
1156C2×D4—594no—
1157C2×D4—598no—
1158C2×D4—598no—
1159C2×D4—598no—
1160C2×D4—1184no—
1161C2×D4—1188no—
1162C2×D4—1184no—
1163C2×D4—1188no—
1164C2×D4—1188no—
1165C2×D4—1184no—
1166C2×D4—1184no—
1167C2×D4—1184no—
1168C2×D4—2364no—
1169C2×D4—2364no—
1170C2×D4—2364no—
1171C2×D4—23616no—
1172C2×D4—23616no—
1173C2×D4—23616no—
1174C2×D4—23632no—
1175C2×D4—23632no—
1176C2×D4—23632no—
1177C2×D4—2364no—
1178C2×D4—2364no—
1179C2×D4—2364no—
1180C2×D4—2364no—
1181C2×D4—2364no—
1182C2×D4—2364no—
1183C2×D4—2364no—
1184C2×D4—2364no—
1185C2×D4—2364no—
1186C2×D4—2364no—
1187C2×D4—2364no—
1188C2×D4—23632no—
1189C2×D4—23632no—
1190C2×D4C23×D5914yes—
1191C2×D4C23×D5914yes—
1192C2×D4C23×D5914yes—
1193C2×D4C23×D5918yes—
1194C2×D4C23×D5918yes—
1195C2×D4C23×D5918yes—
1196C2×D4C23×D5918yes—
1197C2×D4C23×D5918yes—
1198C2×D4C23×D5918yes—
1199C22×C4—24no—
1200C22×C4—44no—
1201C22×C4—591no—
1202C22×C4—598no—
1203C22×C4—591no—
1204C22×C4—591no—
1205C22×C4—591no—
1206C22×C4—592no—
1207C22×C4—591no—
1208C22×C4—592no—
1209C22×C4—591no—
1210C22×C4—598no—
1211C22×C4—598no—
1212C22×C4—594no—
1213C22×C4—594no—
1214C22×C4—594no—
1215C22×C4—594no—
1216C22×C4—598no—
1217C22×C4—598no—
1218C22×C4—598no—
1219C22×C4—1184no—
1220C22×C4—1184no—
1221C22×C4—1188no—
1222C22×C4—1184no—
1223C22×C4—1184no—
1224C22×C4—2364no—
1225C22×C4—2364no—
1226C22×C4—2364no—
1227C22×C4—2364no—
1228C22×C4—2364no—
1229C22×C4C23×D5914yes—
1230C22×C4C23×D5911yescharacteristic
1231C22×C4C23×D5911yescharacteristic
1232C22×C4C23×D5912yes—
1233C22×C4C23×D5911yescharacteristic
1234C22×C4C23×D5911yescharacteristic
1235C22×C4C23×D5911yescharacteristic
1236C22×C4C23×D5918yes—
1237C22×C4C23×D5911yescharacteristic
1238C4⋊C4—598no—
1239C4⋊C4—594no—
1240C4⋊C4—598no—
1241C4⋊C4—594no—
1242C4⋊C4—594no—
1243C4⋊C4—594no—
1244C4⋊C4—594no—
1245C4⋊C4—594no—
1246C4⋊C4—594no—
1247C4⋊C4—598no—
1248C4⋊C4—594no—
1249C4⋊C4—594no—
1250C4⋊C4—598no—
1251C4⋊C4—594no—
1252C4⋊C4C23×D5914yes—
1253C4⋊C4C23×D5914yes—
1254C22⋊C4—598no—
1255C22⋊C4—598no—
1256C22⋊C4—598no—
1257C22⋊C4—594no—
1258C22⋊C4—594no—
1259C22⋊C4—598no—
1260C22⋊C4—598no—
1261C22⋊C4—598no—
1262C22⋊C4—594no—
1263C22⋊C4—598no—
1264C22⋊C4—594no—
1265C22⋊C4—598no—
1266C22⋊C4—598no—
1267C22⋊C4—594no—
1268C22⋊C4—594no—
1269C22⋊C4—594no—
1270C22⋊C4—594no—
1271C22⋊C4—598no—
1272C22⋊C4—598no—
1273C22⋊C4—598no—
1274C22⋊C4—598no—
1275C22⋊C4C23×D5918yes—
1276C22⋊C4C23×D5918yes—
1277C22⋊C4C23×D5914yes—
1278C22⋊C4C23×D5914yes—
1279C22⋊C4C23×D5918yes—
1280C22⋊C4C23×D5918yes—
1281C42—594no—
1282C42—594no—
1283C42—594no—
1284C42—598no—
1285C42—594no—
1286C42C23×D5914yes—
1287C42C23×D5914yes—
1288C23—24no—
1289C23—24no—
1290C23—24no—
1291C23—24no—
1292C23—24no—
1293C23—24no—
1294C23—22no—
1295C23—22no—
1296C23—22no—
1297C23—24no—
1298C23—24no—
1299C23—24no—
1300C23—48no—
1301C23—48no—
1302C23—48no—
1303C23—816no—
1304C23—594no—
1305C23—592no—
1306C23—594no—
1307C23—592no—
1308C23—594no—
1309C23—11816no—
1310C23—11816no—
1311C23—1182no—
1312C23—1182no—
1313C23—1184no—
1314C23—1184no—
1315C23—1184no—
1316C23—1182no—
1317C23—1182no—
1318C23—1184no—
1319C23—1182no—
1320C23—1184no—
1321C23—1184no—
1322C23—47216no—
1323C23—47216no—
1324C23—47216no—
1325C23—2368no—
1326C23—2368no—
1327C23—2368no—
1328C23—2368no—
1329C23—2368no—
1330C23—2368no—
1331C23—2368no—
1332C23C24×D5914yes—
1333C23C24×D5914yes—
1334C23C24×D5912yes—
1335C23C24×D5914yes—
1336C23C24×D5911yescharacteristic
1337Q8—28no—
1338Q8—1188no—
1339D4—28no—
1340D4—28no—
1341D4—28no—
1342D4—48no—
1343D4—48no—
1344D4—48no—
1345D4—48no—
1346D4—48no—
1347D4—48no—
1348D4—1188no—
1349D4—11816no—
1350D4—1188no—
1351D4—11816no—
1352D4—11816no—
1353D4—1188no—
1354D4—1188no—
1355D4—1188no—
1356D4—2368no—
1357D4—2368no—
1358D4—2368no—
1359D4—2368no—
1360D4—2368no—
1361D4—2368no—
1362D4—2368no—
1363D4—2368no—
1364D4—2368no—
1365D4—2368no—
1366D4—2368no—
1367D4—2368no—
1368D4—2368no—
1369D4—2368no—
1370C2×C4—22no—
1371C2×C4—22no—
1372C2×C4—22no—
1373C2×C4—22no—
1374C2×C4—22no—
1375C2×C4—24no—
1376C2×C4—28no—
1377C2×C4—48no—
1378C2×C4—594no—
1379C2×C4—592no—
1380C2×C4—592no—
1381C2×C4—592no—
1382C2×C4—592no—
1383C2×C4—592no—
1384C2×C4—594no—
1385C2×C4—594no—
1386C2×C4—592no—
1387C2×C4—1188no—
1388C2×C4—1188no—
1389C2×C4—11816no—
1390C2×C4—1184no—
1391C2×C4—1182no—
1392C2×C4—1184no—
1393C2×C4—1182no—
1394C2×C4—1182no—
1395C2×C4—1182no—
1396C2×C4—1182no—
1397C2×C4—1188no—
1398C2×C4—1188no—
1399C2×C4—2368no—
1400C2×C4—2368no—
1401C2×C4—2368no—
1402C2×C4—2368no—
1403C2×C4—2368no—
1404C2×C4#1427377214yes—
1405C2×C4C24×D5912yes—
1406C2×C4C24×D5912yes—
1407C2×C4C24×D5914yes—
1408C2×C4C24×D5912yes—
1409C2×C4C24×D5912yes—
1410C2×C4C24×D5912yes—
1411C2×C4C24×D5912yes—
1412C22—24no—
1413C22—24no—
1414C22—24no—
1415C22—24no—
1416C22—24no—
1417C22—24no—
1418C22—22no—
1419C22—22no—
1420C22—22no—
1421C22—24no—
1422C22—24no—
1423C22—24no—
1424C22—44no—
1425C22—48no—
1426C22—48no—
1427C22—48no—
1428C22—816no—
1429C22—594no—
1430C22—1182no—
1431C22—1182no—
1432C22—1188no—
1433C22—1184no—
1434C22—1184no—
1435C22—1184no—
1436C22—1182no—
1437C22—1182no—
1438C22—1184no—
1439C22—1182no—
1440C22—1184no—
1441C22—1184no—
1442C22—47216no—
1443C22—47216no—
1444C22—47216no—
1445C22—2368no—
1446C22—2364no—
1447C22—2368no—
1448C22H(5,𝔽2)×D5912yes—
1449C22H(5,𝔽2)×D5912yes—
1450C22C2×#1427377212yes—
1451C22C25×D5911yescharacteristic
1452C4—22no—
1453C4—22no—
1454C4—22no—
1455C4—22no—
1456C4—22no—
1457C4—24no—
1458C4—594no—
1459C4—1184no—
1460C4—1182no—
1461C4—1184no—
1462C4—1182no—
1463C4—1182no—
1464C4—1182no—
1465C4—1182no—
1466C4C2×#1427377214yes—
1467C2—42no—
1468C2—44no—
1469C2—44no—
1470C2—44no—
1471C2—1184no—
1472C2—2364no—
1473C2—2362no—
1474C2—2364no—
1475C2#2143842214yesdirect product factor
1476C2C2×H(5,𝔽2)×D5911yescharacteristic
1477C2C2×H(5,𝔽2)×D5911yescharacteristic
1478C2C22×#1427377211yescharacteristic
subgroupG/H
centerC23C24×D59
commutator, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×C59×#535C2
socleC23×C59C25
hypercenterC2×#535D59
hypocenterC59C2×#3543
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×#535

Complements

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

NH ≅ G/Ntype
1. #21438422C2direct (N × H)
2. C2×#16838141C2semidirect
3. C2×#16838140C2semidirect
4. C2×#16838134C2semidirect
5. C2×#16838072C2semidirect
6. C2×#16838071C2semidirect
7. C2×#16838045C2semidirect
8. C2×#16838041C2semidirect
9. C2×#16838040C2semidirect
10. C2×#16838037C2semidirect
11. C2×D4×C22⋊D59C2semidirect
12. C2×D4×C22⋊D59C2semidirect
13. C2×#16838034C2semidirect
14. C2×#16838007C2semidirect
15. C2×#16838006C2semidirect
16. C2×#16838002C2semidirect
17. C2×#16837970C2semidirect
18. C2×#16837967C2semidirect
19. C2×#16837962C2semidirect
20. C2×#16837960C2semidirect
21. C2×#127×D59C2semidirect
22. C2×#16837931C2semidirect
23. C2×#16837930C2semidirect
24. C2×C59×#535C2semidirect
25. C22×#11745689C22semidirect
26. C22×#11745687C22semidirect
27. C23×C22⋊D59C22semidirect
28. C23×C22⋊D59C22semidirect
29. C22×D4×D59C22semidirect
30. C22×D4×D59C22semidirect
31. C22×D4×D59C22semidirect
32. C22×D4×D59C22semidirect
33. C22×D4×D59C22semidirect
34. C22×D4×D59C22semidirect
35. #16838141C22semidirect
36. #16838140C22semidirect
37. #16838134C22semidirect
38. #16838072C22semidirect
39. #16838071C22semidirect
40. #16838045C22semidirect
41. #16838041C22semidirect
42. #16838040C22semidirect
43. #16838037C22semidirect
44. D4×C22⋊D59C22semidirect
45. D4×C22⋊D59C22semidirect
46. #16838034C22semidirect
47. #16838007C22semidirect
48. #16838006C22semidirect
49. #16838002C22semidirect
50. #16837970C22semidirect
51. #16837967C22semidirect
52. #16837962C22semidirect
53. #16837960C22semidirect
54. C2×#14273724C22semidirect
56. C2×#14273723C22semidirect
57. C2×#14273723C22semidirect
58. C2×#14273723C22semidirect
59. C2×#14273723C22semidirect
60. C2×#14273723C22semidirect
61. #127×D59C22semidirect
62. #16837931C22semidirect
63. #16837930C22semidirect
64. C2×#14273722C22semidirect
65. C2×#14273720C22semidirect
66. C2×#14273720C22semidirect
67. C2×#14273719C22semidirect
68. C2×#14273717C22semidirect
69. C2×#14273716C22semidirect
70. C2×#14273713C22semidirect
71. C2×#14273713C22semidirect
72. C2×#14273712C22semidirect
73. C2×#14273712C22semidirect
74. C2×#14273712C22semidirect
75. C2×#14273711C22semidirect
76. C2×#14273710C22semidirect
77. C2×#14273709C22semidirect
78. C2×#14273709C22semidirect
79. C2×#14273709C22semidirect
80. C2×#14273709C22semidirect
81. C2×#14273708C22semidirect
82. C2×#14273708C22semidirect
83. C2×#14273705C22semidirect
84. C2×#14273703C22semidirect
85. C2×#14273701C22semidirect
86. C2×#14273701C22semidirect
87. C2×#14273701C22semidirect
89. C2×#14273700C22semidirect
90. C2×#14273700C22semidirect
91. C2×#14273700C22semidirect
92. C2×#14273700C22semidirect
93. C2×#14273700C22semidirect
94. C2×#14273699C22semidirect
95. C2×#14273699C22semidirect
96. C2×#14273699C22semidirect
97. C2×#14273699C22semidirect
98. C2×#14273699C22semidirect
99. C2×#14273699C22semidirect
100. C2×#14273699C22semidirect
102. C2×#14273698C22semidirect
103. C2×#14273698C22semidirect
104. C2×#14273698C22semidirect
105. C2×#14273698C22semidirect
106. C2×#14273698C22semidirect
107. C2×#14273697C22semidirect
108. C2×#14273697C22semidirect
109. C2×#14273697C22semidirect
110. C2×#14273696C22semidirect
111. C2×#14273696C22semidirect
112. C2×#14273695C22semidirect
113. C2×#14273695C22semidirect
114. C2×#14273695C22semidirect
115. C2×#14273695C22semidirect
116. C2×#14273695C22semidirect
117. C2×Q8×Dic59C22semidirect
118. C2×C4×Dic118C22semidirect
119. C2×C4×D236C22semidirect
120. C2×C4×D236C22semidirect
121. C2×C4×D236C22semidirect
122. C2×D4×Dic59C22semidirect
123. C2×D4×Dic59C22semidirect
124. C2×D4×Dic59C22semidirect
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×#14273684C22semidirect
131. C2×#14273683C22semidirect
132. C22×(C2×D59)⋊C4C22semidirect
133. C2×C22⋊C4×D59C22semidirect
134. C2×C42×D59C22semidirect
135. C22×#41×C59C22semidirect
136. C23×D4×C59C22semidirect
137. C59×#535C22semidirect
138. C2×#127×C59C22semidirect
139. C2×#127×C59C22semidirect
140. C2×#124×C59C22semidirect
141. C2×#124×C59C22semidirect
142. C2×#121×C59C22semidirect
143. C2×#121×C59C22semidirect
144. C2×#120×C59C22semidirect
145. C2×#120×C59C22semidirect
146. C2×#117×C59C22semidirect
151. C2×#11745689C23semidirect
153. C2×#11745687C23semidirect
179. C22×C22⋊D59C23semidirect
180. C22×C22⋊D59C23semidirect
187. C2×D4×D59C23semidirect
188. C2×D4×D59C23semidirect
189. C2×D4×D59C23semidirect
190. C2×D4×D59C23semidirect
191. C2×D4×D59C23semidirect
192. C2×D4×D59C23semidirect
203. #14273724C23semidirect
205. #14273723C23semidirect
206. #14273723C23semidirect
207. #14273723C23semidirect
208. #14273723C23semidirect
209. #14273723C23semidirect
210. #14273722C23semidirect
211. #14273720C23semidirect
212. #14273720C23semidirect
213. #14273719C23semidirect
214. #14273717C23semidirect
215. #14273716C23semidirect
216. #14273713C23semidirect
217. #14273713C23semidirect
218. #14273712C23semidirect
219. #14273712C23semidirect
220. #14273712C23semidirect
221. #14273711C23semidirect
222. #14273710C23semidirect
223. #14273709C23semidirect
224. #14273709C23semidirect
225. #14273709C23semidirect
226. #14273709C23semidirect
227. #14273708C23semidirect
228. #14273708C23semidirect
229. #14273705C23semidirect
230. #14273703C23semidirect
231. #14273701C23semidirect
232. #14273701C23semidirect
233. #14273701C23semidirect
235. #14273700C23semidirect
236. #14273700C23semidirect
237. #14273700C23semidirect
238. #14273700C23semidirect
239. #14273700C23semidirect
240. #14273699C23semidirect
241. #14273699C23semidirect
242. #14273699C23semidirect
243. #14273699C23semidirect
244. #14273699C23semidirect
245. #14273699C23semidirect
246. #14273699C23semidirect
248. #14273698C23semidirect
249. #14273698C23semidirect
250. #14273698C23semidirect
251. #14273698C23semidirect
252. #14273698C23semidirect
253. #14273697C23semidirect
254. #14273697C23semidirect
255. #14273697C23semidirect
256. #14273696C23semidirect
257. #14273696C23semidirect
258. #14273695C23semidirect
259. #14273695C23semidirect
260. #14273695C23semidirect
261. #14273695C23semidirect
262. #14273695C23semidirect
263. Q8×Dic59C23semidirect
264. C4×Dic118C23semidirect
265. C4×D236C23semidirect
266. C4×D236C23semidirect
267. C4×D236C23semidirect
268. D4×Dic59C23semidirect
269. D4×Dic59C23semidirect
270. D4×Dic59C23semidirect
271. C4×C22⋊D59C23semidirect
272. C4×C22⋊D59C23semidirect
273. C4×C22⋊D59C23semidirect
274. (C22⋊D59)⋊C4C23semidirect
275. (C22⋊D59)⋊C4C23semidirect
276. #14273684C23semidirect
277. #14273683C23semidirect
313. C2×(C2×D59)⋊C4C23semidirect
314. C22⋊C4×D59C23semidirect
320. C42×D59C23semidirect
323. C2×#41×C59C23semidirect
335. C22×D4×C59C23semidirect
338. #127×C59C23semidirect
339. #127×C59C23semidirect
340. #124×C59C23semidirect
341. #124×C59C23semidirect
342. #121×C59C23semidirect
343. #121×C59C23semidirect
344. #120×C59C23semidirect
345. #120×C59C23semidirect
346. #117×C59C23semidirect
746. C2×#535D59semidirect
756. C2×C59#3543semidirect
766. C22×#41C2×D59semidirect
775. C23×D4C2×D59semidirect
793. #535C2×D59semidirect
804. C2×#127C2×D59semidirect
805. C2×#127C2×D59semidirect
816. C2×#124C2×D59semidirect
817. C2×#124C2×D59semidirect
853. C2×#121C2×D59semidirect
854. C2×#121C2×D59semidirect
865. C2×#120C2×D59semidirect
866. C2×#120C2×D59semidirect
882. C2×#117C2×D59semidirect
886. C59C2×#3543semidirect
896. C2×#41C22×D59semidirect
947. C22×D4C22×D59semidirect
967. #127C22×D59semidirect
968. #127C22×D59semidirect
977. #124C22×D59semidirect
978. #124C22×D59semidirect
1014. #121C22×D59semidirect
1015. #121C22×D59semidirect
1026. #120C22×D59semidirect
1027. #120C22×D59semidirect
1043. #117C22×D59semidirect
1475. C2#21438422direct (N × H)

Maximal subgroups

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

subgroupindex
#214384222
C2×#168381412
C2×#168381402
C2×#168381342
C2×#168380722
C2×#168380712
C2×#168380452
C2×#168380412
C2×#168380402
C2×#168380372
C2×D4×C22⋊D592
C2×#168380342
C2×#168380072
C2×#168380062
C2×#168380022
C2×#168379702
C2×#168379672
C2×#168379622
C2×#168379602
C2×#127×D592
C2×#168379312
C2×#168379302
C2×C59×#5352
C2×#354359