Finite Group Databasebeta

← #28798277

Subgroups — #28798277

Order 15104.

2056 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432398C211yesmaximal, characteristic, complemented
2#21432394C211yesmaximal, characteristic, complemented
3#21431382C211yesmaximal, characteristic, complemented
4#21431100C211yesmaximal, characteristic, complemented
5#21431097C211yesmaximal, characteristic, complemented
6#21430867C211yesmaximal, characteristic, complemented
7#21430866C211yesmaximal, characteristic, complemented
8#21430786C211yesmaximal, characteristic, complemented
9#21430781C211yesmaximal, characteristic, complemented
10#21430644C211yesmaximal, characteristic, complemented
11#21430639C211yesmaximal, characteristic, complemented
12#21430365C211yesmaximal, characteristic, complemented
13#21430363C211yesmaximal, characteristic, complemented
14#21430320C211yesmaximal, characteristic, complemented
15#21430320C211yesmaximal, characteristic, complemented
16#21430306C211yesmaximal, characteristic, complemented
17#21430306C211yesmaximal, characteristic, complemented
18#21430089C211yesmaximal, characteristic, complemented
19#21430083C211yesmaximal, characteristic, complemented
20#21429760C211yesmaximal, characteristic, complemented
21#21429201C211yesmaximal, characteristic, complemented
22#21429198C211yesmaximal, characteristic, complemented
23#21429023C211yesmaximal, characteristic, complemented
24#21428288C211yesmaximal, characteristic, complemented
25#21428285C211yesmaximal, characteristic, complemented
26#21427717C211yesmaximal, characteristic, complemented
27#21427416C211yesmaximal, characteristic, complemented
28#21426860C211yesmaximal, characteristic, complemented
29#21426690C211yesmaximal, characteristic, complemented
30#21426585C211yesmaximal, characteristic, complemented
31C59×#2754C211yesmaximal, characteristic, complemented
32C22×#11745689C2211yescharacteristic
33C2×#14273724C2211yescharacteristic, complemented
34C2×#14273716C2211yescharacteristic, complemented
35C2×#14273715C2211yescharacteristic
36C2×#14273715C2211yescharacteristic
37C2×#14273713C2211yescharacteristic
38C2×#14273713C2211yescharacteristic
39C2×#14273712C2211yescharacteristic
40C2×#14273712C2211yescharacteristic
41C2×#14273712C2211yescharacteristic, complemented
42C2×#14273712C2211yescharacteristic, complemented
43C2×#14273707C2211yescharacteristic, complemented
44C2×#14273705C2211yescharacteristic, complemented
45C2×#14273702C2211yescharacteristic
46C2×#14273702C2211yescharacteristic
47C2×#14273702C2211yescharacteristic
48C2×#14273700C2211yescharacteristic
49C2×#14273700C2211yescharacteristic
50C2×#14273697C2211yescharacteristic
51C2×#14273697C2211yescharacteristic
52C2×#14273697C2211yescharacteristic
53C2×#14273697C2211yescharacteristic
54C2×#14273685C2211yescharacteristic, complemented
55C2×C22⋊C4×D59C2211yescharacteristic
56C2×C42×D59C2211yescharacteristic, complemented
57#16837342C2211yescharacteristic, complemented
58#16837337C2211yescharacteristic
59#16837337C2211yescharacteristic
60#16837337C2211yescharacteristic
61#16837336C2211yescharacteristic, complemented
62#16837331C2211yescharacteristic
63#16837331C2211yescharacteristic
64#16837331C2211yescharacteristic, complemented
65#16837331C2211yescharacteristic, complemented
66#16837329C2211yescharacteristic, complemented
67#16837328C2211yescharacteristic, complemented
68#16837326C2211yescharacteristic, complemented
69#16837324C2211yescharacteristic, complemented
70#16837320C2211yescharacteristic
71#16837320C2211yescharacteristic
72#16837320C2211yescharacteristic, complemented
73#16837320C2211yescharacteristic, complemented
74#16837319C2211yescharacteristic
75#16837319C2211yescharacteristic
76#16837319C2211yescharacteristic, complemented
77#16837319C2211yescharacteristic, complemented
78#16837318C2211yescharacteristic
79#16837318C2211yescharacteristic
80#16837317C2211yescharacteristic
81#16837317C2211yescharacteristic
82#16837315C2211yescharacteristic
83#16837315C2211yescharacteristic
84#16837315C2211yescharacteristic, complemented
85#16837315C2211yescharacteristic, complemented
86#16837313C2211yescharacteristic
87#16837312C2211yescharacteristic
88#16837312C2211yescharacteristic
89#16837312C2211yescharacteristic
90#16837312C2211yescharacteristic
91#16837312C2211yescharacteristic
92#16837312C2211yescharacteristic
93#16837312C2211yescharacteristic
94#16837312C2211yescharacteristic
95#16837311C2211yescharacteristic
96#16837311C2211yescharacteristic
97#16837311C2211yescharacteristic
98#16837311C2211yescharacteristic
99#16837309C2211yescharacteristic, complemented
100#16837307C2211yescharacteristic, complemented
101#16837306C2211yescharacteristic, complemented
102#16837306C2211yescharacteristic, complemented
103#16837306C2211yescharacteristic, complemented
104#16837304C2211yescharacteristic
105#16837304C2211yescharacteristic
106#16837303C2211yescharacteristic
107#16837303C2211yescharacteristic
108#16837303C2211yescharacteristic
109#16837303C2211yescharacteristic
110#16837303C2211yescharacteristic, complemented
111#16837302C2211yescharacteristic
112#16837302C2211yescharacteristic
113#16837296C2211yescharacteristic
114#16837295C2211yescharacteristic
115#16837294C2211yescharacteristic
116#16837294C2211yescharacteristic
117#16837294C2211yescharacteristic
118#16837294C2211yescharacteristic, complemented
119#16837294C2211yescharacteristic, complemented
120#16837293C2211yescharacteristic
121#16837293C2211yescharacteristic, complemented
122#16837293C2211yescharacteristic, complemented
123#16837292C2211yescharacteristic
124#16837292C2211yescharacteristic, complemented
125#16837292C2211yescharacteristic, complemented
126#16837291C2211yescharacteristic
127#16837290C2211yescharacteristic
128#16837288C2211yescharacteristic, complemented
129#16837286C2211yescharacteristic, complemented
130#16837284C2211yescharacteristic, complemented
131#16837284C2211yescharacteristic, complemented
132#16837283C2211yescharacteristic, complemented
133#16837280C2211yescharacteristic
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic
136#16837280C2211yescharacteristic
137#16837280C2211yescharacteristic
138#16837280C2211yescharacteristic
139#16837280C2211yescharacteristic
140#16837280C2211yescharacteristic
141#16837280C2211yescharacteristic
142#16837280C2211yescharacteristic
143#16837280C2211yescharacteristic, complemented
144#16837280C2211yescharacteristic, complemented
145#16837280C2211yescharacteristic, complemented
146#16837280C2211yescharacteristic, complemented
147#16837280C2211yescharacteristic, complemented
148#16837280C2211yescharacteristic, complemented
149#16837280C2211yescharacteristic, complemented
150#16837280C2211yescharacteristic, complemented
151#16837280C2211yescharacteristic, complemented
152#16837280C2211yescharacteristic, complemented
153#16837278C2211yescharacteristic
154#16837278C2211yescharacteristic
155#16837278C2211yescharacteristic
156#16837278C2211yescharacteristic
157#16837276C2211yescharacteristic, complemented
158#16837273C2211yescharacteristic, complemented
159#16837266C2211yescharacteristic, complemented
160#16837264C2211yescharacteristic
161#16837261C2211yescharacteristic
162#16837259C2211yescharacteristic
163#16837257C2211yescharacteristic
164#16837257C2211yescharacteristic
165C4×(C2×D59)⋊C4C2211yescharacteristic
166C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
167#16837249C2211yescharacteristic
168#16837249C2211yescharacteristic
169#16837249C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#16837249C2211yescharacteristic, complemented
172C59×#400C2211yescharacteristic, complemented
173C59×#399C2211yescharacteristic
174C59×#398C2211yescharacteristic, complemented
175C59×#397C2211yescharacteristic
176C59×#397C2211yescharacteristic
177C59×#393C2211yescharacteristic
178C59×#391C2211yescharacteristic, complemented
179C59×#391C2211yescharacteristic, complemented
180C59×#388C2211yescharacteristic
181C59×#388C2211yescharacteristic
182C59×#388C2211yescharacteristic
183C59×#387C2211yescharacteristic, complemented
184C59×#387C2211yescharacteristic, complemented
185C59×#387C2211yescharacteristic, complemented
186C59×#382C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C2×#11745689—24no—
189C2×#11745689—42no—
190C2×#11745689—42no—
191C22×Dic118C2311yescharacteristic
192C22×Dic118C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×D236C2311yescharacteristic
201C22×D236C2311yescharacteristic
202C22×D236C2311yescharacteristic
203C22×D236C2311yescharacteristic
204C22×D236C2311yescharacteristic
205C22×D236C2311yescharacteristic
206C22×D236C2311yescharacteristic
207C22×C22⋊D59C2311yescharacteristic
208C22×C22⋊D59C2311yescharacteristic
209C22×C22⋊D59C2311yescharacteristic
210C22×C22⋊D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219#14273724—42no—
220#14273716—42no—
221#14273715—42no—
222#14273715—42no—
223#14273713—42no—
224#14273713—42no—
225#14273712—42no—
226#14273712—42no—
227#14273712—42no—
228#14273712—42no—
229#14273707—42no—
230#14273705—42no—
231#14273702—24no—
232#14273702—42no—
233#14273702—42no—
234#14273700—42no—
235#14273700—42no—
236#14273697—42no—
237#14273697—42no—
238#14273697—42no—
239#14273697—42no—
240#14273685—42no—
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
243C2×C4⋊Dic59C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×(C2×D59)⋊C4C2311yescharacteristic
256C2×(C2×D59)⋊C4C2311yescharacteristic
257C2×(C2×D59)⋊C4C2311yescharacteristic
258C2×(C2×D59)⋊C4C2311yescharacteristic
259C2×(C2×D59)⋊C4C2311yescharacteristic
260C2×(C2×D59)⋊C4C2311yescharacteristic
261C2×(C2×D59)⋊C4C2311yescharacteristic
262C2×(C2×D59)⋊C4C2311yescharacteristic
263C2×(C2×D59)⋊C4C2311yescharacteristic
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C22⋊C4×D59—24no—
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
310C2×C4×Dic59C2311yescharacteristic
311C42×D59—42no—
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C22×Q8×C59C2311yescharacteristic
335C2×C4⋊C4×C59C2311yescharacteristic
336C2×C4⋊C4×C59C2311yescharacteristic
337C2×C4⋊C4×C59C2311yescharacteristic
338C2×C4⋊C4×C59C2311yescharacteristic
339C2×C4⋊C4×C59C2311yescharacteristic
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C4⋊C4×C59C2311yescharacteristic
342C2×C4⋊C4×C59C2311yescharacteristic
343C2×C22⋊C4×C59C2311yescharacteristic
344C2×C22⋊C4×C59C2311yescharacteristic
345C2×C22⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59C2311yescharacteristic
347C2×C22⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C42×C59C2311yescharacteristic
351C2×C42×C59C2311yescharacteristic
352C2×C42×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369C24×C59C2411yescharacteristic
370C23×D59—22no—
371C23×D59—41no—
372C23×D59—41no—
373C23×D59—41no—
374C23×D59—41no—
375C23×D59—41no—
376C23×D59—41no—
377C23×D59C2411yescharacteristic
378C23×D59C2411yescharacteristic
379C23×D59C2411yescharacteristic
380C23×D59C2411yescharacteristic
381C23×D59C2411yescharacteristic
382C23×D59C2411yescharacteristic
383C2×Q8×C59—22no—
384C2×Q8×C59—22no—
385C2×Q8×C59—41no—
386C22×C4×C59C2411yescharacteristic
387C22×C4×C59C2411yescharacteristic
388C22×C4×C59C2411yescharacteristic
389C22×C4×C59C2411yescharacteristic
390C22×C4×C59C2411yescharacteristic
391C22×C4×C59C2411yescharacteristic
392C22×C4×C59C2411yescharacteristic
393C22×C4×C59C2411yescharacteristic
394C22×C4×C59C2411yescharacteristic
395C22×C4×C59C2411yescharacteristic
396C22×C4×C59C2411yescharacteristic
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C2×C22⋊D59—22no—
401C2×C22⋊D59—22no—
402C2×C22⋊D59—41no—
403C2×C22⋊D59—41no—
404C2×C22⋊D59—41no—
405C2×C22⋊D59—41no—
406C2×C22⋊D59—41no—
407C2×C22⋊D59—41no—
408C2×C22⋊D59—41no—
409C2×C22⋊D59—41no—
410C2×C22⋊D59—41no—
411C2×C22⋊D59—41no—
412C22×Dic59C2411yescharacteristic
413C22×Dic59C2411yescharacteristic
414C22×Dic59C2411yescharacteristic
415C22×Dic59C2411yescharacteristic
416C22×Dic59C2411yescharacteristic
417C22×Dic59C2411yescharacteristic
418C22×Dic59C2411yescharacteristic
419C22×Dic59C2411yescharacteristic
420C22×Dic59C2411yescharacteristic
421C22×Dic59C2411yescharacteristic
422#11745689—416no—
423C2×D236—22no—
424C2×D236—22no—
425C2×D236—22no—
426C2×D236—22no—
427C2×D236—22no—
428C2×D236—22no—
429C2×D236—22no—
430C2×D236—22no—
431C2×D236—22no—
432C2×D236—22no—
433C2×D236—22no—
434C2×D236—22no—
435C2×D236—22no—
436C2×D236—41no—
437C2×D236—41no—
438C2×D236—41no—
439C2×D236—41no—
440C2×D236—41no—
441C2×D236—41no—
442C2×D236—41no—
443C2×D236—41no—
444C2×D236—41no—
445C2×D236—41no—
446C2×D236—41no—
447C2×D236—41no—
448C2×D236—41no—
449C2×D236—41no—
450C2×D236—41no—
451C2×D236—41no—
452C2×D236—41no—
453C2×D236—41no—
454C2×D236—41no—
455C2×D236—41no—
456C2×D236—41no—
457C2×D236—41no—
458C2×D236—41no—
459C2×D236—41no—
460C2×D236—41no—
461C2×D236—41no—
462C2×D236—41no—
463C2×D236—41no—
464C2×D236—41no—
465C2×C4×D59—22no—
466C2×C4×D59—22no—
467C2×C4×D59—22no—
468C2×C4×D59—22no—
469C2×C4×D59—22no—
470C2×C4×D59—22no—
471C2×C4×D59—22no—
472C2×C4×D59—41no—
473C2×C4×D59—41no—
474C2×C4×D59—41no—
475C2×C4×D59—41no—
476C2×C4×D59—41no—
477C2×C4×D59—41no—
478C2×C4×D59—41no—
479C2×C4×D59—41no—
480C2×C4×D59—41no—
481C2×C4×D59—41no—
482C2×C4×D59—41no—
483C2×C4×D59—41no—
484C2×C4×D59—41no—
485C2×C4×D59—41no—
486C2×C4×D59—41no—
487C2×C4×D59—41no—
488C2×C4×D59#4114yes—
489C2×Dic118—22no—
490C2×Dic118—22no—
491C2×Dic118—41no—
492C2×Dic118—41no—
493C2×Dic118—41no—
494C2×Dic118—41no—
495C4⋊C4×C59—22no—
496C4⋊C4×C59—22no—
497C4⋊C4×C59—22no—
498C4⋊C4×C59—41no—
499C4⋊C4×C59—41no—
500C4⋊C4×C59—41no—
501C4⋊C4×C59—41no—
502C4⋊C4×C59—41no—
503C22⋊C4×C59—22no—
504C22⋊C4×C59—22no—
505C22⋊C4×C59—22no—
506C22⋊C4×C59—41no—
507C22⋊C4×C59—41no—
508C22⋊C4×C59—41no—
509C22⋊C4×C59—41no—
510C42×C59—22no—
511C42×C59—41no—
512C42×C59—41no—
513C22⋊Dic59—22no—
514C22⋊Dic59—41no—
515C22⋊Dic59—41no—
516(C2×D59)⋊C4—22no—
517(C2×D59)⋊C4—22no—
518(C2×D59)⋊C4—22no—
519(C2×D59)⋊C4—22no—
520(C2×D59)⋊C4—22no—
521(C2×D59)⋊C4—22no—
522(C2×D59)⋊C4—22no—
523(C2×D59)⋊C4—22no—
524(C2×D59)⋊C4—22no—
525(C2×D59)⋊C4—22no—
526(C2×D59)⋊C4—22no—
527(C2×D59)⋊C4—22no—
528(C2×D59)⋊C4—22no—
529(C2×D59)⋊C4—22no—
530(C2×D59)⋊C4—22no—
531(C2×D59)⋊C4—22no—
532(C2×D59)⋊C4—41no—
533(C2×D59)⋊C4—41no—
534(C2×D59)⋊C4—41no—
535(C2×D59)⋊C4—41no—
536(C2×D59)⋊C4—41no—
537(C2×D59)⋊C4—41no—
538(C2×D59)⋊C4—41no—
539(C2×D59)⋊C4—41no—
540(C2×D59)⋊C4—41no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4—41no—
544(C2×D59)⋊C4—41no—
545(C2×D59)⋊C4—41no—
546(C2×D59)⋊C4—41no—
547(C2×D59)⋊C4—41no—
548(C2×D59)⋊C4—41no—
549(C2×D59)⋊C4—41no—
550(C2×D59)⋊C4—41no—
551(C2×D59)⋊C4—41no—
552(C2×D59)⋊C4—41no—
553(C2×D59)⋊C4—41no—
554(C2×D59)⋊C4—41no—
555(C2×D59)⋊C4—41no—
556(C2×D59)⋊C4—41no—
557(C2×D59)⋊C4—41no—
558(C2×D59)⋊C4—41no—
559(C2×D59)⋊C4—41no—
560(C2×D59)⋊C4—41no—
561(C2×D59)⋊C4—41no—
562(C2×D59)⋊C4—41no—
563(C2×D59)⋊C4—41no—
564C4⋊Dic59—41no—
565C4⋊Dic59—41no—
566C4⋊Dic59—41no—
567Dic59⋊C4—22no—
568Dic59⋊C4—22no—
569Dic59⋊C4—41no—
570Dic59⋊C4—41no—
571Dic59⋊C4—41no—
572Dic59⋊C4—41no—
573Dic59⋊C4—41no—
574Dic59⋊C4—41no—
575C4×Dic59—22no—
576C4×Dic59—41no—
577C4×Dic59—41no—
578C4×Dic59—41no—
579C4×Dic59—41no—
580C4×Dic59—41no—
581C4×Dic59—41no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59—21no—
586C23×C59—21no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59C2511yescharacteristic
590C22×D59—21no—
591C22×D59—21no—
592C22×D59—21no—
593C22×D59—21no—
594C22×D59—21no—
595C22×D59—21no—
596C22×D59—21no—
597C22×D59—21no—
598C22×D59—21no—
599C22×D59—21no—
600C22×D59—21no—
601C22×D59—21no—
602C22×D59—21no—
603C22×D59—21no—
604C22×D59—21no—
605C22×D59—21no—
606C22×D59—21no—
607C22×D59—21no—
608C22×D59—21no—
609C22×D59—21no—
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—21no—
614C22×D59—21no—
615C22×D59—21no—
616C22×D59—21no—
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—44no—
631C22×D59—82no—
632C22×D59—82no—
633C22×D59—82no—
634C22×D59—82no—
635C22×D59—82no—
636C22×D59—82no—
637C22×D59C2×#4112yes—
638C22×D59H(5,𝔽2)12yes—
639Q8×C59—44no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59C2×#4112yes—
680C2×C4×C59H(5,𝔽2)12yes—
681C2×C4×C59H(5,𝔽2)12yes—
682C22⋊D59—82no—
683C22⋊D59—82no—
684C22⋊D59—82no—
685C22⋊D59—82no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59C2×#4112yes—
715C2×Dic59H(5,𝔽2)12yes—
716D236—44no—
717D236—44no—
718D236—44no—
719D236—82no—
720D236—82no—
721D236—82no—
722D236—82no—
723D236—82no—
724D236—82no—
725D236—82no—
726D236—82no—
727D236—82no—
728D236—82no—
729D236—82no—
730C4×D59—28no—
731C4×D59—44no—
732C4×D59—44no—
733C4×D59—44no—
734C4×D59—44no—
735C4×D59—82no—
736C4×D59—82no—
737C4×D59—82no—
738Dic118—82no—
739Dic118—82no—
740#36818—591nomaximal, Sylow
741C22×C59—41no—
742C22×C59—41no—
743C22×C59—41no—
744C22×C59—41no—
745C22×C59—41no—
746C22×C59—41no—
747C22×C59—41no—
748C22×C59C22×#4111yescharacteristic
749C22×C59C2×H(5,𝔽2)11yescharacteristic
750C22×C59C2×H(5,𝔽2)11yescharacteristic
751C22×C59C2×H(5,𝔽2)11yescharacteristic
752C22×C59C2×H(5,𝔽2)11yescharacteristic
753C22×C59#58511yescharacteristic
754C22×C59#58511yescharacteristic
755C2×D59—22no—
756C2×D59—22no—
757C2×D59—22no—
758C2×D59—22no—
759C2×D59—22no—
760C2×D59—22no—
761C2×D59—41no—
762C2×D59—41no—
763C2×D59—41no—
764C2×D59—41no—
765C2×D59—41no—
766C2×D59—41no—
767C2×D59—41no—
768C2×D59—41no—
769C2×D59—41no—
770C2×D59—41no—
771C2×D59—41no—
772C2×D59—41no—
773C2×D59—41no—
774C2×D59—41no—
775C2×D59—41no—
776C2×D59—41no—
777C2×D59—41no—
778C2×D59—41no—
779C2×D59—41no—
780C2×D59—41no—
781C2×D59—41no—
782C2×D59—41no—
783C2×D59—41no—
784C2×D59—41no—
785C2×D59—41no—
786C2×D59—41no—
787C2×D59—41no—
788C2×D59—41no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—41no—
796C2×D59—41no—
797C2×D59—88no—
798C4×C59—22no—
799C4×C59—22no—
800C4×C59—22no—
801C4×C59—41no—
802C4×C59—41no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809C4×C59—41no—
810C4×C59—41no—
811C4×C59—41no—
812Dic59—22no—
813Dic59—22no—
814Dic59—41no—
815Dic59—41no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822#2850—591no—
823#2850—591no—
824#2754—591no—
825#2754D5911yescharacteristic, complemented
826#2730—591no—
827#2730—591no—
828#2712—591no—
829#2712—591no—
830#2706—591no—
831#2706—591no—
832#2696—591no—
833#2696—591no—
834#2673—591no—
835#2673—591no—
836#2670—591no—
837#2670—591no—
838#2668—591no—
839#2668—591no—
840#2648—591no—
841#2648—591no—
842#2607—591no—
843#2557—591no—
844#2557—591no—
845#2539—591no—
846#2476—591no—
847#2476—591no—
848#2431—591no—
849#2404—591no—
850#2333—591no—
851#2312—591no—
852#2297—591no—
853C2×C59—81no—
854C2×C59#345511yescharacteristic
855C2×C59#349011yescharacteristic
856C2×C59#350811yescharacteristic
857C2×C59#354211yescharacteristic
858C2×C59#354211yescharacteristic
859C2×C59#355811yescharacteristic
860C2×C59#355811yescharacteristic
861D59—42no—
862D59—42no—
863D59—81no—
864D59—81no—
865D59—81no—
866D59—81no—
867C22×#41—591no—
868C2×#127—591no—
869C2×#124—591no—
870C2×#124—591no—
871C2×#124—591no—
872C2×#124—591no—
873C2×#124—591no—
874C2×#123—591no—
875C2×#123—591no—
876C2×#123—591no—
877C2×#123—591no—
878C2×C22⋊Q8—591no—
879C2×C22⋊Q8—591no—
880C2×#121—591no—
881C2×#121—591no—
882C2×#121—591no—
883C2×#121—591no—
884C2×#121—591no—
885C2×#120—591no—
886C2×#120—591no—
887C2×#120—591no—
888C2×#120—591no—
889C2×#117—591no—
890C22×C22⋊C4—591no—
891C22×C42—591no—
892#400—591no—
893#400C2×D5911yescharacteristic, complemented
894#399—591no—
895#399—591no—
896#399—591no—
897#399C2×D5911yescharacteristic
898#398—591no—
899#398C2×D5911yescharacteristic, complemented
900#397—591no—
901#397—591no—
902#397—591no—
903#397—591no—
904#397—591no—
905#397—591no—
906#397C2×D5911yescharacteristic
907#397C2×D5911yescharacteristic
908#396—591no—
909#396—591no—
910#394—591no—
911#394—591no—
912#394—591no—
913#394—591no—
914#394—591no—
915#394—591no—
916#394—591no—
917#394—591no—
918#394—591no—
919#394—591no—
920#394—591no—
921#394—591no—
922#393—591no—
923#393—591no—
924#393—591no—
925#393—591no—
926#393—591no—
927#393C2×D5911yescharacteristic
928#392—591no—
929#392—591no—
930#392—591no—
931#392—591no—
932#392—591no—
933#392—591no—
934#392—591no—
935#392—591no—
936#392—591no—
937#392—591no—
938#392—591no—
939#392—591no—
940#391—591no—
941#391—591no—
942#391—591no—
943#391—591no—
944#391—591no—
945#391C2×D5911yescharacteristic, complemented
946#391C2×D5911yescharacteristic, complemented
947#390—591no—
948#390—591no—
949#390—591no—
950#390—591no—
951#390—591no—
952#390—591no—
953#390—591no—
954#390—591no—
955#390—591no—
956#388—591no—
957#388—591no—
958#388—591no—
959#388—591no—
960#388—591no—
961#388—591no—
962#388—591no—
963#388—591no—
964#388—591no—
965#388—591no—
966#388—591no—
967#388—591no—
968#388—591no—
969#388—591no—
970#388—591no—
971#388C2×D5911yescharacteristic
972#388C2×D5911yescharacteristic
973#388C2×D5911yescharacteristic
974#387—591no—
975#387—591no—
976#387—591no—
977#387—591no—
978#387—591no—
979#387C2×D5911yescharacteristic, complemented
980#387C2×D5911yescharacteristic, complemented
981#387C2×D5911yescharacteristic, complemented
982#386—591no—
983#386—591no—
984#386—591no—
985#386—591no—
986#386—591no—
987#386—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386—591no—
998#386—591no—
999#386—591no—
1000#386—591no—
1001#386—591no—
1002#386—591no—
1003#386—591no—
1004#386—591no—
1005#386—591no—
1006#385—591no—
1007#385—591no—
1008#382—591no—
1009#382C2×D5911yescharacteristic, complemented
1010#381—591no—
1011#380—591no—
1012#380—591no—
1013#379—591no—
1014#379—591no—
1015C4×C22⋊C4—591no—
1016C4×C22⋊C4—591no—
1017C4×C22⋊C4—591no—
1018C4×C22⋊C4—591no—
1019C4×C22⋊C4—591no—
1020C4×C22⋊C4—591no—
1021C4×C22⋊C4—591no—
1022C59#3681811yescharacteristic, complemented, Sylow
1023C25—591no—
1024C2×#41—1184no—
1025C2×#41—2362no—
1026C2×#41—2362no—
1027C22×Q8—591no—
1028C22×Q8—591no—
1029C22×Q8C22×D5911yescharacteristic
1030C22×D4—591no—
1031C22×D4—591no—
1032C22×D4—591no—
1033C22×D4—591no—
1034C22×D4—591no—
1035C22×D4—591no—
1036C22×D4—591no—
1037C22×D4—591no—
1038C22×D4—591no—
1039C22×D4—591no—
1040C22×D4—591no—
1041C22×D4—591no—
1042C22×D4—591no—
1043C22×D4—591no—
1044C22×D4—591no—
1045C22×D4—591no—
1046C22×D4—591no—
1047C22×D4—591no—
1048C23×C4—591no—
1049C23×C4—591no—
1050C23×C4—591no—
1051C23×C4—591no—
1052C23×C4—591no—
1053C23×C4—591no—
1054C23×C4—591no—
1055C23×C4—591no—
1056#127—2362no—
1057#124—2362no—
1058#124—2362no—
1059#124—2362no—
1060#124—2362no—
1061#124—2362no—
1062#123—2362no—
1063#123—2362no—
1064#123—2362no—
1065#123—2362no—
1066C22⋊Q8—2362no—
1067C22⋊Q8—2362no—
1068#121—1184no—
1069#121—2362no—
1070#121—2362no—
1071#121—2362no—
1072#121—2362no—
1073#120—2362no—
1074#120—2362no—
1075#120—2362no—
1076#120—2362no—
1077#117—2362no—
1078C2×C4⋊C4—591no—
1079C2×C4⋊C4—591no—
1080C2×C4⋊C4—591no—
1081C2×C4⋊C4—591no—
1082C2×C4⋊C4—591no—
1083C2×C4⋊C4—591no—
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4—591no—
1087C2×C4⋊C4—591no—
1088C2×C4⋊C4—591no—
1089C2×C4⋊C4C22×D5911yescharacteristic
1090C2×C4⋊C4C22×D5911yescharacteristic
1091C2×C4⋊C4C22×D5911yescharacteristic
1092C2×C4⋊C4C22×D5911yescharacteristic
1093C2×C4⋊C4C22×D5911yescharacteristic
1094C2×C4⋊C4C22×D5911yescharacteristic
1095C2×C4⋊C4C22×D5911yescharacteristic
1096C2×C4⋊C4C22×D5911yescharacteristic
1097C2×C22⋊C4—591no—
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4—591no—
1100C2×C22⋊C4—591no—
1101C2×C22⋊C4—591no—
1102C2×C22⋊C4—591no—
1103C2×C22⋊C4—591no—
1104C2×C22⋊C4—591no—
1105C2×C22⋊C4—591no—
1106C2×C22⋊C4—591no—
1107C2×C22⋊C4—591no—
1108C2×C22⋊C4—591no—
1109C2×C22⋊C4—591no—
1110C2×C22⋊C4—591no—
1111C2×C22⋊C4—591no—
1112C2×C22⋊C4—591no—
1113C2×C22⋊C4—591no—
1114C2×C22⋊C4—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—1184no—
1149C2×C22⋊C4C22×D5911yescharacteristic
1150C2×C22⋊C4C22×D5911yescharacteristic
1151C2×C22⋊C4C22×D5911yescharacteristic
1152C2×C22⋊C4C22×D5911yescharacteristic
1153C2×C22⋊C4C22×D5911yescharacteristic
1154C2×C22⋊C4C22×D5911yescharacteristic
1155C2×C22⋊C4C22×D5911yescharacteristic
1156C2×C42—591no—
1157C2×C42—591no—
1158C2×C42—591no—
1159C2×C42—591no—
1160C2×C42—591no—
1161C2×C42—591no—
1162C2×C42—591no—
1163C2×C42—2362no—
1164C2×C42C22×D5911yescharacteristic
1165C2×C42C22×D5911yescharacteristic
1166C2×C42C22×D5911yescharacteristic
1167#95—591no—
1168#95—591no—
1169#95—591no—
1170#95—591no—
1171#95—591no—
1172#95—591no—
1173#95—591no—
1174#95—591no—
1175#95—591no—
1176#95—591no—
1177#95—591no—
1178#95—591no—
1179#95—591no—
1180#95—591no—
1181#95—591no—
1182#95—591no—
1183#95—591no—
1184#95—591no—
1185#95—591no—
1186#95—591no—
1187#95—591no—
1188#95—591no—
1189#95C22×D5911yescharacteristic
1190#95C22×D5911yescharacteristic
1191#95C22×D5911yescharacteristic
1192#95C22×D5911yescharacteristic
1193#95C22×D5911yescharacteristic
1194#95C22×D5911yescharacteristic
1195#95C22×D5911yescharacteristic
1196#95C22×D5911yescharacteristic
1197#95C22×D5911yescharacteristic
1198#95C22×D5911yescharacteristic
1199#95C22×D5911yescharacteristic
1200#95C22×D5911yescharacteristic
1201#95C22×D5911yescharacteristic
1202#95C22×D5911yescharacteristic
1203#95C22×D5911yescharacteristic
1204#95C22×D5911yescharacteristic
1205C24—591no—
1206C24—591no—
1207C24—591no—
1208C24—591no—
1209C24—591no—
1210C24—591no—
1211C24—1182no—
1212C24—2361no—
1213C24—2361no—
1214C24—2361no—
1215C24—2361no—
1216C24—2361no—
1217C24—2361no—
1218C24C23×D5911yescharacteristic
1219#41—23616no—
1220C2×Q8—22no—
1221C2×Q8—22no—
1222C2×Q8—41no—
1223C2×Q8—1182no—
1224C2×Q8—1182no—
1225C2×Q8—2361no—
1226C2×Q8—2361no—
1227C2×Q8—2361no—
1228C2×Q8—2361no—
1229C2×D4—1182no—
1230C2×D4—1182no—
1231C2×D4—1182no—
1232C2×D4—1182no—
1233C2×D4—1182no—
1234C2×D4—1182no—
1235C2×D4—1182no—
1236C2×D4—1182no—
1237C2×D4—1182no—
1238C2×D4—1182no—
1239C2×D4—1182no—
1240C2×D4—1182no—
1241C2×D4—1182no—
1242C2×D4—1182no—
1243C2×D4—1182no—
1244C2×D4—2361no—
1245C2×D4—2361no—
1246C2×D4—2361no—
1247C2×D4—2361no—
1248C2×D4—2361no—
1249C2×D4—2361no—
1250C2×D4—2361no—
1251C2×D4—2361no—
1252C2×D4—2361no—
1253C2×D4—2361no—
1254C2×D4—2361no—
1255C2×D4—2361no—
1256C2×D4—2361no—
1257C2×D4—2361no—
1258C2×D4—2361no—
1259C2×D4—2361no—
1260C2×D4—2361no—
1261C2×D4—2361no—
1262C2×D4—2361no—
1263C2×D4—2361no—
1264C2×D4—2361no—
1265C2×D4—2361no—
1266C2×D4—2361no—
1267C2×D4—2361no—
1268C2×D4—2361no—
1269C2×D4—2361no—
1270C2×D4—2361no—
1271C2×D4—2361no—
1272C2×D4—2361no—
1273C2×D4—2361no—
1274C2×D4—2361no—
1275C2×D4—2361no—
1276C2×D4—2361no—
1277C2×D4—2361no—
1278C2×D4—2361no—
1279C2×D4—2361no—
1280C2×D4—2361no—
1281C2×D4—2361no—
1282C2×D4—2361no—
1283C22×C4—591no—
1284C22×C4—591no—
1285C22×C4—594no—
1286C22×C4—591no—
1287C22×C4—591no—
1288C22×C4—591no—
1289C22×C4—591no—
1290C22×C4—591no—
1291C22×C4—591no—
1292C22×C4—591no—
1293C22×C4—591no—
1294C22×C4—1182no—
1295C22×C4—1182no—
1296C22×C4—1182no—
1297C22×C4—1182no—
1298C22×C4—1182no—
1299C22×C4—1182no—
1300C22×C4—1182no—
1301C22×C4—2361no—
1302C22×C4—2361no—
1303C22×C4—2361no—
1304C22×C4—2361no—
1305C22×C4—2361no—
1306C22×C4—2361no—
1307C22×C4—2361no—
1308C22×C4—2361no—
1309C22×C4—2361no—
1310C22×C4—2361no—
1311C22×C4—2361no—
1312C22×C4—2361no—
1313C22×C4—2361no—
1314C22×C4—2361no—
1315C22×C4—2361no—
1316C22×C4—2361no—
1317C22×C4C23×D5911yescharacteristic
1318C22×C4C23×D5911yescharacteristic
1319C22×C4C23×D5911yescharacteristic
1320C22×C4C23×D5911yescharacteristic
1321C22×C4C23×D5911yescharacteristic
1322C22×C4C23×D5911yescharacteristic
1323C22×C4C23×D5911yescharacteristic
1324C22×C4C23×D5911yescharacteristic
1325C22×C4C23×D5911yescharacteristic
1326C22×C4C23×D5911yescharacteristic
1327C22×C4C23×D5911yescharacteristic
1328C22×C4C23×D5911yescharacteristic
1329C22×C4C23×D5911yescharacteristic
1330C22×C4C23×D5911yescharacteristic
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—1182no—
1340C4⋊C4—1182no—
1341C4⋊C4—2361no—
1342C4⋊C4—2361no—
1343C4⋊C4—2361no—
1344C4⋊C4—2361no—
1345C4⋊C4—2361no—
1346C4⋊C4—2361no—
1347C4⋊C4—2361no—
1348C4⋊C4—2361no—
1349C4⋊C4—2361no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—1182no—
1358C22⋊C4—1182no—
1359C22⋊C4—1182no—
1360C22⋊C4—1182no—
1361C22⋊C4—1182no—
1362C22⋊C4—1182no—
1363C22⋊C4—1182no—
1364C22⋊C4—1182no—
1365C22⋊C4—1182no—
1366C22⋊C4—1182no—
1367C22⋊C4—1182no—
1368C22⋊C4—1182no—
1369C22⋊C4—1182no—
1370C22⋊C4—1182no—
1371C22⋊C4—1182no—
1372C22⋊C4—1182no—
1373C22⋊C4—1182no—
1374C22⋊C4—2361no—
1375C22⋊C4—2361no—
1376C22⋊C4—2361no—
1377C22⋊C4—2361no—
1378C22⋊C4—2361no—
1379C22⋊C4—2361no—
1380C22⋊C4—2361no—
1381C22⋊C4—2361no—
1382C22⋊C4—2361no—
1383C22⋊C4—2361no—
1384C22⋊C4—2361no—
1385C22⋊C4—2361no—
1386C22⋊C4—2361no—
1387C22⋊C4—2361no—
1388C22⋊C4—2361no—
1389C22⋊C4—2361no—
1390C22⋊C4—2361no—
1391C22⋊C4—2361no—
1392C22⋊C4—2361no—
1393C22⋊C4—2361no—
1394C22⋊C4—2361no—
1395C22⋊C4—2361no—
1396C22⋊C4—2361no—
1397C22⋊C4—2361no—
1398C22⋊C4—2361no—
1399C22⋊C4—2361no—
1400C22⋊C4—2361no—
1401C22⋊C4—2361no—
1402C22⋊C4—2361no—
1403C22⋊C4—2361no—
1404C22⋊C4—2361no—
1405C22⋊C4—2361no—
1406C22⋊C4—2361no—
1407C22⋊C4—2361no—
1408C42—22no—
1409C42—41no—
1410C42—41no—
1411C42—1182no—
1412C42—2361no—
1413C42—2361no—
1414C42—2361no—
1415C42—2361no—
1416C42—2361no—
1417C42—2361no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—592no—
1426C23—592no—
1427C23—1181no—
1428C23—1181no—
1429C23—1181no—
1430C23—1181no—
1431C23—1181no—
1432C23—1181no—
1433C23—1181no—
1434C23—1181no—
1435C23—1181no—
1436C23—1181no—
1437C23—1181no—
1438C23—1181no—
1439C23—1181no—
1440C23—1181no—
1441C23—1181no—
1442C23—1181no—
1443C23—1181no—
1444C23—1181no—
1445C23—1181no—
1446C23—1181no—
1447C23—1181no—
1448C23—1181no—
1449C23—1181no—
1450C23—1181no—
1451C23—1181no—
1452C23—1181no—
1453C23—1181no—
1454C23—1181no—
1455C23—1181no—
1456C23—1181no—
1457C23—1181no—
1458C23—1181no—
1459C23—1181no—
1460C23—1181no—
1461C23—1181no—
1462C23—1181no—
1463C23—1181no—
1464C23—1181no—
1465C23—1181no—
1466C23—1181no—
1467C23—4722no—
1468C23—4722no—
1469C23—4722no—
1470C23—4722no—
1471C23—4722no—
1472C23—4722no—
1473C23—2364no—
1474C23C24×D5911yescharacteristic
1475Q8—44no—
1476Q8—4722no—
1477Q8—4722no—
1478D4—4722no—
1479D4—4722no—
1480D4—4722no—
1481D4—4722no—
1482D4—4722no—
1483D4—4722no—
1484D4—4722no—
1485D4—4722no—
1486D4—4722no—
1487D4—4722no—
1488D4—4722no—
1489D4—4722no—
1490D4—4722no—
1491D4—4722no—
1492D4—4722no—
1493D4—2364no—
1494D4—2364no—
1495D4—2364no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—592no—
1536C2×C4—592no—
1537C2×C4—1188no—
1538C2×C4—1181no—
1539C2×C4—1181no—
1540C2×C4—1181no—
1541C2×C4—1181no—
1542C2×C4—1181no—
1543C2×C4—1181no—
1544C2×C4—1181no—
1545C2×C4—1181no—
1546C2×C4—1181no—
1547C2×C4—1181no—
1548C2×C4—1181no—
1549C2×C4—1181no—
1550C2×C4—1181no—
1551C2×C4—1181no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—1181no—
1556C2×C4—1181no—
1557C2×C4—1181no—
1558C2×C4—1181no—
1559C2×C4—1181no—
1560C2×C4—1181no—
1561C2×C4—1181no—
1562C2×C4—1181no—
1563C2×C4—1181no—
1564C2×C4—1181no—
1565C2×C4—1181no—
1566C2×C4—4722no—
1567C2×C4—4722no—
1568C2×C4—4722no—
1569C2×C4—2364no—
1570C2×C4—2364no—
1571C2×C4—2364no—
1572C2×C4—2364no—
1573C2×C4#41×D5912yes—
1574C2×C4#1427377312yes—
1575C2×C4#1427377312yes—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—1182no—
1584C22—1182no—
1585C22—1182no—
1586C22—1182no—
1587C22—1182no—
1588C22—1182no—
1589C22—4728no—
1590C22—2361no—
1591C22—2361no—
1592C22—2361no—
1593C22—2361no—
1594C22—2361no—
1595C22—2361no—
1596C22—2361no—
1597C22—2361no—
1598C22—2361no—
1599C22—2361no—
1600C22—2361no—
1601C22—2361no—
1602C22—2361no—
1603C22—2361no—
1604C22—2361no—
1605C22—2361no—
1606C22—2361no—
1607C22—2361no—
1608C22—2361no—
1609C22—2361no—
1610C22—2361no—
1611C22—2361no—
1612C22—2361no—
1613C22—2361no—
1614C22—2361no—
1615C22—2361no—
1616C22—2361no—
1617C22—2361no—
1618C22—2361no—
1619C22—2361no—
1620C22—2361no—
1621C22—2361no—
1622C22—2361no—
1623C22—2361no—
1624C22—2361no—
1625C22—2361no—
1626C22C2×#41×D5911yescharacteristic
1627C22H(5,𝔽2)×D5911yescharacteristic
1628C22H(5,𝔽2)×D5911yescharacteristic
1629C22C2×#1427377311yescharacteristic
1630C22C2×#1427377311yescharacteristic
1631C22#1683823911yescharacteristic
1632C22#1683823911yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—1182no—
1648C4—1182no—
1649C4—2361no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C4—2361no—
1655C4—2361no—
1656C4—2361no—
1657C2—81no—
1658C2—4721no—
1659C2—4721no—
1660C2—4721no—
1661C2—4721no—
1662C2—2362no—
1663C2—2362no—
1664C2#2143748711yescharacteristic
1665C2#2143778011yescharacteristic
1666C2#2143796911yescharacteristic
1667C2#2143840611yescharacteristic
1668C2#2143840811yescharacteristic
1669C2#2143861111yescharacteristic
1670C2#2143861811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2754C2
hypercenter#2754D59
hypocenterC59#36818
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2754

Complements

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

NH ≅ G/Ntype
1. #21432398C2semidirect
2. #21432394C2semidirect
3. #21431382C2semidirect
4. #21431100C2semidirect
5. #21431097C2semidirect
6. #21430867C2semidirect
7. #21430866C2semidirect
8. #21430786C2semidirect
9. #21430781C2semidirect
10. #21430644C2semidirect
11. #21430639C2semidirect
12. #21430365C2semidirect
13. #21430363C2semidirect
14. #21430320C2semidirect
15. #21430320C2semidirect
16. #21430306C2semidirect
17. #21430306C2semidirect
18. #21430089C2semidirect
19. #21430083C2semidirect
20. #21429760C2semidirect
21. #21429201C2semidirect
22. #21429198C2semidirect
23. #21429023C2semidirect
24. #21428288C2semidirect
25. #21428285C2semidirect
26. #21427717C2semidirect
27. #21427416C2semidirect
28. #21426860C2semidirect
29. #21426690C2semidirect
30. #21426585C2semidirect
31. C59×#2754C2semidirect
33. C2×#14273724C22semidirect
34. C2×#14273716C22semidirect
41. C2×#14273712C22semidirect
42. C2×#14273712C22semidirect
43. C2×#14273707C22semidirect
44. C2×#14273705C22semidirect
54. C2×#14273685C22semidirect
56. C2×C42×D59C22semidirect
57. #16837342C22semidirect
61. #16837336C22semidirect
64. #16837331C22semidirect
65. #16837331C22semidirect
66. #16837329C22semidirect
67. #16837328C22semidirect
68. #16837326C22semidirect
69. #16837324C22semidirect
72. #16837320C22semidirect
73. #16837320C22semidirect
76. #16837319C22semidirect
77. #16837319C22semidirect
84. #16837315C22semidirect
85. #16837315C22semidirect
99. #16837309C22semidirect
100. #16837307C22semidirect
101. #16837306C22semidirect
102. #16837306C22semidirect
103. #16837306C22semidirect
110. #16837303C22semidirect
118. #16837294C22semidirect
119. #16837294C22semidirect
121. #16837293C22semidirect
122. #16837293C22semidirect
124. #16837292C22semidirect
125. #16837292C22semidirect
128. #16837288C22semidirect
129. #16837286C22semidirect
130. #16837284C22semidirect
131. #16837284C22semidirect
132. #16837283C22semidirect
143. #16837280C22semidirect
144. #16837280C22semidirect
145. #16837280C22semidirect
146. #16837280C22semidirect
147. #16837280C22semidirect
148. #16837280C22semidirect
149. #16837280C22semidirect
150. #16837280C22semidirect
151. #16837280C22semidirect
152. #16837280C22semidirect
157. #16837276C22semidirect
158. #16837273C22semidirect
159. #16837266C22semidirect
166. C4×(C2×D59)⋊C4C22semidirect
169. #16837249C22semidirect
170. #16837249C22semidirect
171. #16837249C22semidirect
172. C59×#400C22semidirect
174. C59×#398C22semidirect
178. C59×#391C22semidirect
179. C59×#391C22semidirect
183. C59×#387C22semidirect
184. C59×#387C22semidirect
185. C59×#387C22semidirect
186. C59×#382C22semidirect
825. #2754D59semidirect
893. #400C2×D59semidirect
899. #398C2×D59semidirect
945. #391C2×D59semidirect
946. #391C2×D59semidirect
979. #387C2×D59semidirect
980. #387C2×D59semidirect
981. #387C2×D59semidirect
1009. #382C2×D59semidirect
1022. C59#36818semidirect

Maximal subgroups

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

subgroupindex
#214323982
#214323942
#214313822
#214311002
#214310972
#214308672
#214308662
#214307862
#214307812
#214306442
#214306392
#214303652
#214303632
#214303202
#214303062
#214300892
#214300832
#214297602
#214292012
#214291982
#214290232
#214282882
#214282852
#214277172
#214274162
#214268602
#214266902
#214265852
C59×#27542
#3681859