Finite Group Databasebeta

← #28795437

Subgroups — #28795437

Order 15104.

4062 conjugacy classes of subgroups.

The subgroup lattice has 2148 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837991C211yesmaximal, characteristic, complemented
2C2×#120×D59C211yesmaximal, characteristic, complemented
3#21432374C211yesmaximal, characteristic, complemented
4#21432374C211yesmaximal, characteristic, complemented
5#21430482C211yesmaximal, characteristic, complemented
6#21430481C211yesmaximal, characteristic, complemented
7#21430480C211yesmaximal, characteristic, complemented
8#21430428C211yesmaximal, characteristic, complemented
9#21430427C211yesmaximal, characteristic, complemented
10#21430426C211yesmaximal, characteristic, complemented
11#21430425C211yesmaximal, characteristic, complemented
12#21430324C211yesmaximal, characteristic, complemented
13#21430322C211yesmaximal, characteristic, complemented
14#21430320C211yesmaximal, characteristic, complemented
15#21430319C211yesmaximal, characteristic, complemented
16#21430312C211yesmaximal, characteristic, complemented
17#21430311C211yesmaximal, characteristic, complemented
18#21430311C211yesmaximal, characteristic, complemented
19#21430310C211yesmaximal, characteristic, complemented
20#21429809C211yesmaximal, characteristic, complemented
21#21429809C211yesmaximal, characteristic, complemented
22#21429252C211yesmaximal, characteristic, complemented
23#21429023C211yesmaximal, characteristic, complemented
24#21428990C211yesmaximal, characteristic, complemented
25#21428987C211yesmaximal, characteristic, complemented
26#21427742C211yesmaximal, characteristic, complemented
27#21427732C211yesmaximal, characteristic, complemented
28#21427450C211yesmaximal, characteristic, complemented
29#21427447C211yesmaximal, characteristic, complemented
30#21426690C211yesmaximal, characteristic, complemented
31C59×#2685C211yesmaximal, characteristic, complemented
32C25×D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C22×D4×D59C2211yescharacteristic
35C22×D4×D59C2211yescharacteristic
36#16837991—28no—
37C2×#14273724C2211yescharacteristic, complemented
38C2×#14273723C2211yescharacteristic, complemented
39C2×#14273722C2211yescharacteristic, complemented
40C2×#14273715C2211yescharacteristic, complemented
41C2×#14273713C2211yescharacteristic, complemented
42C2×#14273713C2211yescharacteristic, complemented
43C2×#14273713C2211yescharacteristic, complemented
44C2×#14273712C2211yescharacteristic, complemented
45C2×#14273712C2211yescharacteristic, complemented
46C2×#14273712C2211yescharacteristic, complemented
47C2×#14273709C2211yescharacteristic, complemented
48C2×#14273705C2211yescharacteristic, complemented
49C2×#14273702C2211yescharacteristic, complemented
50C2×#14273702C2211yescharacteristic, complemented
51C2×#14273702C2211yescharacteristic, complemented
52C2×#14273700C2211yescharacteristic, complemented
53C2×#14273700C2211yescharacteristic, complemented
54C2×#14273700C2211yescharacteristic, complemented
55C2×#14273698C2211yescharacteristic, complemented
56C2×#14273697C2211yescharacteristic
57C2×#14273697C2211yescharacteristic
58C2×#14273697C2211yescharacteristic
59C2×#14273697C2211yescharacteristic
60C2×#14273697C2211yescharacteristic
61C2×#14273697C2211yescharacteristic
62C2×#14273697C2211yescharacteristic
63C2×#14273697C2211yescharacteristic
64C2×#14273697C2211yescharacteristic
65C2×#14273697C2211yescharacteristic, complemented
66C2×#14273697C2211yescharacteristic, complemented
67C2×#14273697C2211yescharacteristic, complemented
68C2×#14273697C2211yescharacteristic, complemented
69C2×#14273697C2211yescharacteristic, complemented
70C2×#14273697C2211yescharacteristic, complemented
71C2×#14273697C2211yescharacteristic, complemented
72C2×#14273697C2211yescharacteristic, complemented
73C2×#14273696C2211yescharacteristic
74C2×#14273696C2211yescharacteristic, complemented
75C2×#14273696C2211yescharacteristic, complemented
76C2×#14273695C2211yescharacteristic
77C2×#14273695C2211yescharacteristic
78C2×#14273695C2211yescharacteristic
79#120×D59—28no—
80C2×C4×D236C2211yescharacteristic, complemented
81C2×#14273689C2211yescharacteristic, complemented
82C2×C22⋊C4×D59C2211yescharacteristic
83C2×C22⋊C4×D59C2211yescharacteristic
84C2×C22⋊C4×D59C2211yescharacteristic
85#16837337C2211yescharacteristic, complemented
86#16837331C2211yescharacteristic, complemented
87#16837330C2211yescharacteristic, complemented
88#16837325C2211yescharacteristic, complemented
89#16837324C2211yescharacteristic, complemented
90#16837324C2211yescharacteristic, complemented
91#16837320C2211yescharacteristic, complemented
92#16837320C2211yescharacteristic, complemented
93#16837319C2211yescharacteristic, complemented
94#16837319C2211yescharacteristic, complemented
95#16837319C2211yescharacteristic, complemented
96#16837319C2211yescharacteristic, complemented
97#16837319C2211yescharacteristic, complemented
98#16837318C2211yescharacteristic, complemented
99#16837318C2211yescharacteristic, complemented
100#16837318C2211yescharacteristic, complemented
101#16837317C2211yescharacteristic, complemented
102#16837317C2211yescharacteristic, complemented
103#16837317C2211yescharacteristic, complemented
104#16837317C2211yescharacteristic, complemented
105#16837317C2211yescharacteristic, complemented
106#16837316C2211yescharacteristic, complemented
107#16837315C2211yescharacteristic, complemented
108#16837314C2211yescharacteristic, complemented
109#16837312C2211yescharacteristic, complemented
110#16837312C2211yescharacteristic, complemented
111#16837312C2211yescharacteristic, complemented
112#16837312C2211yescharacteristic, complemented
113#16837311C2211yescharacteristic, complemented
114#16837311C2211yescharacteristic, complemented
115#16837311C2211yescharacteristic, complemented
116#16837311C2211yescharacteristic, complemented
117#16837311C2211yescharacteristic, complemented
118#16837311C2211yescharacteristic, complemented
119#16837311C2211yescharacteristic, complemented
120#16837311C2211yescharacteristic, complemented
121#16837311C2211yescharacteristic, complemented
122#16837311C2211yescharacteristic, complemented
123#16837311C2211yescharacteristic, complemented
124#16837310C2211yescharacteristic, complemented
125#16837310C2211yescharacteristic, complemented
126#16837310C2211yescharacteristic, complemented
127#16837304C2211yescharacteristic, complemented
128#16837303C2211yescharacteristic, complemented
129#16837303C2211yescharacteristic, complemented
130#16837303C2211yescharacteristic, complemented
131#16837302C2211yescharacteristic, complemented
132#16837302C2211yescharacteristic, complemented
133#16837302C2211yescharacteristic, complemented
134#16837302C2211yescharacteristic, complemented
135#16837302C2211yescharacteristic, complemented
136#16837302C2211yescharacteristic, complemented
137#16837296C2211yescharacteristic, complemented
138#16837296C2211yescharacteristic, complemented
139#16837296C2211yescharacteristic, complemented
140#16837295C2211yescharacteristic, complemented
141#16837294C2211yescharacteristic, complemented
142#16837293C2211yescharacteristic, complemented
143#16837293C2211yescharacteristic, complemented
144#16837293C2211yescharacteristic, complemented
145#16837292C2211yescharacteristic, complemented
146#16837292C2211yescharacteristic, complemented
147#16837292C2211yescharacteristic, complemented
148#16837291C2211yescharacteristic, complemented
149#16837290C2211yescharacteristic, complemented
150#16837280C2211yescharacteristic, complemented
151#16837280C2211yescharacteristic, complemented
152#16837278C2211yescharacteristic, complemented
153#16837278C2211yescharacteristic, complemented
154#16837264C2211yescharacteristic, complemented
155#16837264C2211yescharacteristic, complemented
156#16837261C2211yescharacteristic, complemented
157#16837259C2211yescharacteristic, complemented
158#16837257C2211yescharacteristic
159#16837257C2211yescharacteristic
160#16837257C2211yescharacteristic
161#16837257C2211yescharacteristic
162#16837257C2211yescharacteristic
163#16837257C2211yescharacteristic
164#16837257C2211yescharacteristic, complemented
165#16837257C2211yescharacteristic, complemented
166#16837257C2211yescharacteristic, complemented
167#16837257C2211yescharacteristic, complemented
168#16837257C2211yescharacteristic, complemented
169#16837257C2211yescharacteristic, complemented
170#16837257C2211yescharacteristic, complemented
171#16837257C2211yescharacteristic, complemented
172C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
173#16837249C2211yescharacteristic, complemented
174C2×#126×C59C2211yescharacteristic, complemented
175C2×#120×C59C2211yescharacteristic
176C59×#399C2211yescharacteristic, complemented
177C59×#396C2211yescharacteristic, complemented
178C59×#394C2211yescharacteristic, complemented
179C59×#394C2211yescharacteristic, complemented
180C59×#394C2211yescharacteristic, complemented
181C59×#394C2211yescharacteristic, complemented
182C59×#390C2211yescharacteristic, complemented
183C59×#390C2211yescharacteristic, complemented
184C59×#388C2211yescharacteristic, complemented
185C59×#388C2211yescharacteristic, complemented
186C59×#388C2211yescharacteristic, complemented
187C59×#379C2211yescharacteristic, complemented
188C59×#379C2211yescharacteristic, complemented
189C24×D59—24no—
190C24×D59—42no—
191C24×D59—42no—
192C24×D59—42no—
193C24×D59—42no—
194C24×D59—42no—
195C24×D59—42no—
196C24×D59C2311yescharacteristic
197C24×D59C2311yescharacteristic
198C24×D59C2311yescharacteristic
199C24×D59C2311yescharacteristic
200C24×D59C2311yescharacteristic
201C24×D59C2311yescharacteristic
202C24×D59C2311yescharacteristic
203C22×Dic118C2311yescharacteristic, complemented
204C22×D236C2311yescharacteristic
205C22×D236C2311yescharacteristic
206C22×D236C2311yescharacteristic
207C22×D236C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×D236C2311yescharacteristic
211C22×D236C2311yescharacteristic
212C22×D236C2311yescharacteristic
213C22×D236C2311yescharacteristic
214C22×D236C2311yescharacteristic
215C22×D236C2311yescharacteristic, complemented
216C22×D236C2311yescharacteristic, complemented
217C22×D236C2311yescharacteristic, complemented
218C22×C22⋊D59C2311yescharacteristic
219C22×C22⋊D59C2311yescharacteristic
220C22×C22⋊D59C2311yescharacteristic
221C22×C22⋊D59C2311yescharacteristic
222C22×C22⋊D59C2311yescharacteristic
223C22×C22⋊D59C2311yescharacteristic
224C22×C22⋊D59C2311yescharacteristic
225C22×C22⋊D59C2311yescharacteristic
226C22×C22⋊D59C2311yescharacteristic
227C22×C22⋊D59C2311yescharacteristic
228C22×C22⋊D59C2311yescharacteristic
229C22×C22⋊D59C2311yescharacteristic
230C22×C22⋊D59C2311yescharacteristic, complemented
231C22×C22⋊D59C2311yescharacteristic, complemented
232C2×D4×D59—24no—
233C2×D4×D59—24no—
234C2×D4×D59—24no—
235C2×D4×D59—42no—
236C2×D4×D59—42no—
237C2×D4×D59—42no—
238C2×D4×D59—42no—
239C2×D4×D59—42no—
240C2×D4×D59—42no—
241C22×C4×D59C2311yescharacteristic
242C22×C4×D59C2311yescharacteristic
243C22×C4×D59C2311yescharacteristic
244C22×C4×D59C2311yescharacteristic, complemented
245C22×C4×D59C2311yescharacteristic, complemented
246#14273724—42no—
247#14273723—42no—
248#14273722—24no—
249#14273715—24no—
250#14273713—24no—
251#14273713—42no—
252#14273713—42no—
253#14273712—24no—
254#14273712—42no—
255#14273712—42no—
256#14273709—24no—
257#14273705—24no—
258#14273702—24no—
259#14273702—24no—
260#14273702—42no—
261#14273700—24no—
262#14273700—42no—
263#14273700—42no—
264#14273698—42no—
265#14273697—24no—
266#14273697—24no—
267#14273697—24no—
268#14273697—24no—
269#14273697—24no—
270#14273697—42no—
271#14273697—42no—
272#14273697—42no—
273#14273697—42no—
274#14273697—42no—
275#14273697—42no—
276#14273697—42no—
277#14273697—42no—
278#14273697—42no—
279#14273697—42no—
280#14273697—42no—
281#14273697—42no—
282#14273696—24no—
283#14273696—42no—
284#14273696—42no—
285#14273695—24no—
286#14273695—24no—
287#14273695—24no—
288C4×D236—24no—
289#14273689—24no—
290C2×C4⋊Dic59C2311yescharacteristic, complemented
291C2×C4⋊Dic59C2311yescharacteristic, complemented
292C2×Dic59⋊C4C2311yescharacteristic, complemented
293C2×Dic59⋊C4C2311yescharacteristic, complemented
294C2×Dic59⋊C4C2311yescharacteristic, complemented
295C2×Dic59⋊C4C2311yescharacteristic, complemented
296C2×Dic59⋊C4C2311yescharacteristic, complemented
297C2×Dic59⋊C4C2311yescharacteristic, complemented
298C2×C22⋊Dic59C2311yescharacteristic
299C2×C22⋊Dic59C2311yescharacteristic
300C2×C22⋊Dic59C2311yescharacteristic
301C2×C22⋊Dic59C2311yescharacteristic
302C2×C22⋊Dic59C2311yescharacteristic
303C2×C22⋊Dic59C2311yescharacteristic
304C2×C22⋊Dic59C2311yescharacteristic
305C2×C22⋊Dic59C2311yescharacteristic
306C2×C22⋊Dic59C2311yescharacteristic
307C2×C22⋊Dic59C2311yescharacteristic, complemented
308C2×C22⋊Dic59C2311yescharacteristic, complemented
309C2×(C2×D59)⋊C4C2311yescharacteristic
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C2×(C2×D59)⋊C4C2311yescharacteristic
313C2×(C2×D59)⋊C4C2311yescharacteristic
314C2×(C2×D59)⋊C4C2311yescharacteristic
315C2×(C2×D59)⋊C4C2311yescharacteristic
316C2×(C2×D59)⋊C4C2311yescharacteristic
317C2×(C2×D59)⋊C4C2311yescharacteristic
318C2×(C2×D59)⋊C4C2311yescharacteristic
319C2×(C2×D59)⋊C4C2311yescharacteristic
320C2×(C2×D59)⋊C4C2311yescharacteristic
321C2×(C2×D59)⋊C4C2311yescharacteristic
322C2×(C2×D59)⋊C4C2311yescharacteristic
323C2×(C2×D59)⋊C4C2311yescharacteristic
324C2×(C2×D59)⋊C4C2311yescharacteristic
325C2×(C2×D59)⋊C4C2311yescharacteristic
326C2×(C2×D59)⋊C4C2311yescharacteristic
327C2×(C2×D59)⋊C4C2311yescharacteristic
328C2×(C2×D59)⋊C4C2311yescharacteristic
329C2×(C2×D59)⋊C4C2311yescharacteristic
330C2×(C2×D59)⋊C4C2311yescharacteristic
331C2×(C2×D59)⋊C4C2311yescharacteristic
332C2×(C2×D59)⋊C4C2311yescharacteristic
333C2×(C2×D59)⋊C4C2311yescharacteristic
334C2×(C2×D59)⋊C4C2311yescharacteristic
335C2×(C2×D59)⋊C4C2311yescharacteristic
336C2×(C2×D59)⋊C4C2311yescharacteristic
337C2×(C2×D59)⋊C4C2311yescharacteristic
338C2×(C2×D59)⋊C4C2311yescharacteristic
339C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
340C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
341C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
342C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
343C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
344C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
345C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
346C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
347C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
348C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
349C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
350C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
351C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
352C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
353C22⋊C4×D59—24no—
354C22⋊C4×D59—24no—
355C22⋊C4×D59D418yescomplemented
356C2×C4×Dic59C2311yescharacteristic, complemented
357C2×C4×Dic59C2311yescharacteristic, complemented
358C2×C4×Dic59C2311yescharacteristic, complemented
359C2×C4×Dic59C2311yescharacteristic, complemented
360C59⋊#95C2311yescharacteristic, complemented
361C59⋊#95C2311yescharacteristic, complemented
362C59⋊#95C2311yescharacteristic, complemented
363C59⋊#95C2311yescharacteristic, complemented
364C59⋊#95C2311yescharacteristic, complemented
365C59⋊#95C2311yescharacteristic, complemented
366C59⋊#95C2311yescharacteristic, complemented
367C59⋊#95C2311yescharacteristic, complemented
368C59⋊#95C2311yescharacteristic, complemented
369C59⋊#95C2311yescharacteristic, complemented
370C59⋊#95C2311yescharacteristic, complemented
371C59⋊#95C2311yescharacteristic, complemented
372C25×C59C2311yescharacteristic
373C22×D4×C59C2311yescharacteristic
374C22×D4×C59C2311yescharacteristic
375C22×D4×C59C2311yescharacteristic
376#126×C59—24no—
377#120×C59—24no—
378C2×C4⋊C4×C59C2311yescharacteristic, complemented
379C2×C4⋊C4×C59C2311yescharacteristic, complemented
380C2×C4⋊C4×C59C2311yescharacteristic, complemented
381C2×C4⋊C4×C59C2311yescharacteristic, complemented
382C2×C4⋊C4×C59C2311yescharacteristic, complemented
383C2×C4⋊C4×C59C2311yescharacteristic, complemented
384C2×C22⋊C4×C59C2311yescharacteristic
385C2×C22⋊C4×C59C2311yescharacteristic
386C2×C22⋊C4×C59C2311yescharacteristic
387C2×C22⋊C4×C59C2311yescharacteristic
388C2×C22⋊C4×C59C2311yescharacteristic
389C2×C22⋊C4×C59C2311yescharacteristic
390C2×C22⋊C4×C59C2311yescharacteristic
391C2×C22⋊C4×C59C2311yescharacteristic
392C2×C22⋊C4×C59C2311yescharacteristic
393C2×C22⋊C4×C59C2311yescharacteristic
394C2×C22⋊C4×C59C2311yescharacteristic
395C2×C22⋊C4×C59C2311yescharacteristic
396C2×C22⋊C4×C59C2311yescharacteristic
397C2×C22⋊C4×C59C2311yescharacteristic
398C2×C22⋊C4×C59C2311yescharacteristic
399C2×C22⋊C4×C59C2311yescharacteristic, complemented
400C2×C22⋊C4×C59C2311yescharacteristic, complemented
401C2×C22⋊C4×C59C2311yescharacteristic, complemented
402C2×C22⋊C4×C59C2311yescharacteristic, complemented
403C2×C42×C59C2311yescharacteristic, complemented
404C2×C42×C59C2311yescharacteristic, complemented
405#95×C59C2311yescharacteristic, complemented
406#95×C59C2311yescharacteristic, complemented
407#95×C59C2311yescharacteristic, complemented
408#95×C59C2311yescharacteristic, complemented
409C24×C59—22no—
410C24×C59—22no—
411C24×C59—22no—
412C24×C59—41no—
413C24×C59—41no—
414C24×C59—41no—
415C24×C59—41no—
416C24×C59C2411yescharacteristic
417C24×C59C2411yescharacteristic
418C24×C59C2411yescharacteristic
419C24×C59C2411yescharacteristic
420C23×D59—22no—
421C23×D59—22no—
422C23×D59—22no—
423C23×D59—22no—
424C23×D59—22no—
425C23×D59—22no—
426C23×D59—22no—
427C23×D59—22no—
428C23×D59—22no—
429C23×D59—22no—
430C23×D59—22no—
431C23×D59—22no—
432C23×D59—22no—
433C23×D59—22no—
434C23×D59—22no—
435C23×D59—22no—
436C23×D59—22no—
437C23×D59—22no—
438C23×D59—22no—
439C23×D59—22no—
440C23×D59—22no—
441C23×D59—22no—
442C23×D59—22no—
443C23×D59—22no—
444C23×D59—41no—
445C23×D59—41no—
446C23×D59—41no—
447C23×D59—41no—
448C23×D59—41no—
449C23×D59—41no—
450C23×D59—41no—
451C23×D59—41no—
452C23×D59—41no—
453C23×D59—41no—
454C23×D59—41no—
455C23×D59—41no—
456C23×D59—41no—
457C23×D59—41no—
458C23×D59—41no—
459C23×D59—41no—
460C23×D59—41no—
461C23×D59—41no—
462C23×D59—41no—
463C23×D59—41no—
464C23×D59—41no—
465C23×D59—41no—
466C23×D59—41no—
467C23×D59—41no—
468C23×D59—416no—
469C23×D59—416no—
470C23×D59—416no—
471C23×D59—416no—
472C23×D59—416no—
473C23×D59—416no—
474C23×D59—416no—
475C23×D59C2×D414yes—
476C23×D59C2411yescharacteristic
477C23×D59C2411yescharacteristic
478C23×D59C2411yescharacteristic
479C23×D59C2411yescharacteristic
480C23×D59C2411yescharacteristic
481C23×D59C2411yescharacteristic
482C23×D59C2411yescharacteristic
483C2×D4×C59—22no—
484C2×D4×C59—22no—
485C2×D4×C59—22no—
486C2×D4×C59—22no—
487C2×D4×C59—22no—
488C2×D4×C59—41no—
489C2×D4×C59—41no—
490C2×D4×C59—41no—
491C2×D4×C59—41no—
492C22×C4×C59C2411yescharacteristic
493C22×C4×C59C2411yescharacteristic
494C22×C4×C59C2411yescharacteristic
495C22×C4×C59C2411yescharacteristic
496C22×C4×C59C2411yescharacteristic
497C22×C4×C59C2411yescharacteristic
498C22×C4×C59C2411yescharacteristic
499C22×C4×C59C2411yescharacteristic
500C22×C4×C59C2411yescharacteristic
501C22×C4×C59C2411yescharacteristic
502C22×C4×C59C2411yescharacteristic
503C2×C22⋊D59—22no—
504C2×C22⋊D59—22no—
505C2×C22⋊D59—22no—
506C2×C22⋊D59—22no—
507C2×C22⋊D59—22no—
508C2×C22⋊D59—22no—
509C2×C22⋊D59—22no—
510C2×C22⋊D59—22no—
511C2×C22⋊D59—22no—
512C2×C22⋊D59—22no—
513C2×C22⋊D59—22no—
514C2×C22⋊D59—22no—
515C2×C22⋊D59—22no—
516C2×C22⋊D59—22no—
517C2×C22⋊D59—22no—
518C2×C22⋊D59—22no—
519C2×C22⋊D59—41no—
520C2×C22⋊D59—41no—
521C2×C22⋊D59—41no—
522C2×C22⋊D59—41no—
523C2×C22⋊D59—41no—
524C2×C22⋊D59—41no—
525C2×C22⋊D59—41no—
526C2×C22⋊D59—41no—
527C2×C22⋊D59—41no—
528C2×C22⋊D59—41no—
529C2×C22⋊D59—41no—
530C2×C22⋊D59—41no—
531C2×C22⋊D59—41no—
532C2×C22⋊D59—41no—
533C2×C22⋊D59—41no—
534C2×C22⋊D59—41no—
535C2×C22⋊D59—41no—
536C2×C22⋊D59—41no—
537C2×C22⋊D59—41no—
538C2×C22⋊D59—41no—
539C2×C22⋊D59—41no—
540C2×C22⋊D59—41no—
541C2×C22⋊D59—41no—
542C2×C22⋊D59—41no—
543C2×C22⋊D59—41no—
544C2×C22⋊D59—41no—
545C22×Dic59C2411yescharacteristic
546C22×Dic59C2411yescharacteristic
547C22×Dic59C2411yescharacteristic
548C22×Dic59C2411yescharacteristic
549C22×Dic59C2411yescharacteristic
550C22×Dic59C2411yescharacteristic
551C22×Dic59C2411yescharacteristic
552C22×Dic59C2411yescharacteristic
553C22×Dic59C2411yescharacteristic
554D4×D59—416no—
555D4×D59—416no—
556D4×D59—416no—
557C2×D236—22no—
558C2×D236—22no—
559C2×D236—22no—
560C2×D236—22no—
561C2×D236—22no—
562C2×D236—22no—
563C2×D236—22no—
564C2×D236—22no—
565C2×D236—22no—
566C2×D236—22no—
567C2×D236—22no—
568C2×D236—22no—
569C2×D236—22no—
570C2×D236—22no—
571C2×D236—22no—
572C2×D236—22no—
573C2×D236—22no—
574C2×D236—22no—
575C2×D236—41no—
576C2×D236—41no—
577C2×D236—41no—
578C2×D236—41no—
579C2×D236—41no—
580C2×D236—41no—
581C2×D236—41no—
582C2×D236—41no—
583C2×D236—41no—
584C2×D236—41no—
585C2×D236—41no—
586C2×D236—41no—
587C2×D236—41no—
588C2×D236—41no—
589C2×D236—41no—
590C2×D236—41no—
591C2×D236—41no—
592C2×D236—41no—
593C2×D236—41no—
594C2×D236—41no—
595C2×D236—41no—
596C2×D236—41no—
597C2×D236—41no—
598C2×D236—41no—
599C2×C4×D59—22no—
600C2×C4×D59—22no—
601C2×C4×D59—22no—
602C2×C4×D59—22no—
603C2×C4×D59—22no—
604C2×C4×D59—41no—
605C2×C4×D59—41no—
606C2×C4×D59—41no—
607C2×C4×D59—41no—
608C2×C4×D59—41no—
609C2×C4×D59—41no—
610C2×C4×D59—41no—
611C2×C4×D59—41no—
612C2×C4×D59C2×D414yes—
613C2×C4×D59C2×D414yes—
614C2×Dic118—22no—
615C2×Dic118—41no—
616C2×Dic118—41no—
617C4⋊C4×C59—22no—
618C4⋊C4×C59—22no—
619C4⋊C4×C59—22no—
620C4⋊C4×C59—41no—
621C4⋊C4×C59—41no—
622C4⋊C4×C59—41no—
623C22⋊C4×C59—22no—
624C22⋊C4×C59—22no—
625C22⋊C4×C59—22no—
626C22⋊C4×C59—22no—
627C22⋊C4×C59—22no—
628C22⋊C4×C59—22no—
629C22⋊C4×C59—41no—
630C22⋊C4×C59—41no—
631C22⋊C4×C59—41no—
632C22⋊C4×C59—41no—
633C22⋊C4×C59—41no—
634C22⋊C4×C59—41no—
635C22⋊C4×C59—41no—
636C22⋊C4×C59—41no—
637C22⋊C4×C59—41no—
638C22⋊C4×C59—41no—
639C22⋊C4×C59—41no—
640C22⋊C4×C59—41no—
641C22⋊C4×C59C2×D414yes—
642C42×C59—22no—
643C42×C59—41no—
644C22⋊Dic59—22no—
645C22⋊Dic59—22no—
646C22⋊Dic59—22no—
647C22⋊Dic59—22no—
648C22⋊Dic59—41no—
649C22⋊Dic59—41no—
650C22⋊Dic59—41no—
651C22⋊Dic59—41no—
652C22⋊Dic59—41no—
653C22⋊Dic59—41no—
654C22⋊Dic59C2×D414yes—
655(C2×D59)⋊C4—22no—
656(C2×D59)⋊C4—22no—
657(C2×D59)⋊C4—22no—
658(C2×D59)⋊C4—22no—
659(C2×D59)⋊C4—22no—
660(C2×D59)⋊C4—22no—
661(C2×D59)⋊C4—22no—
662(C2×D59)⋊C4—22no—
663(C2×D59)⋊C4—22no—
664(C2×D59)⋊C4—22no—
665(C2×D59)⋊C4—22no—
666(C2×D59)⋊C4—22no—
667(C2×D59)⋊C4—22no—
668(C2×D59)⋊C4—22no—
669(C2×D59)⋊C4—22no—
670(C2×D59)⋊C4—22no—
671(C2×D59)⋊C4—22no—
672(C2×D59)⋊C4—22no—
673(C2×D59)⋊C4—22no—
674(C2×D59)⋊C4—22no—
675(C2×D59)⋊C4—41no—
676(C2×D59)⋊C4—41no—
677(C2×D59)⋊C4—41no—
678(C2×D59)⋊C4—41no—
679(C2×D59)⋊C4—41no—
680(C2×D59)⋊C4—41no—
681(C2×D59)⋊C4—41no—
682(C2×D59)⋊C4—41no—
683(C2×D59)⋊C4—41no—
684(C2×D59)⋊C4—41no—
685(C2×D59)⋊C4—41no—
686(C2×D59)⋊C4—41no—
687(C2×D59)⋊C4—41no—
688(C2×D59)⋊C4—41no—
689(C2×D59)⋊C4—41no—
690(C2×D59)⋊C4—41no—
691(C2×D59)⋊C4—41no—
692(C2×D59)⋊C4—41no—
693(C2×D59)⋊C4—41no—
694(C2×D59)⋊C4—41no—
695(C2×D59)⋊C4—41no—
696(C2×D59)⋊C4—41no—
697(C2×D59)⋊C4C2×D414yes—
698(C2×D59)⋊C4C2×D414yes—
699C4⋊Dic59—22no—
700C4⋊Dic59—41no—
701Dic59⋊C4—22no—
702Dic59⋊C4—22no—
703Dic59⋊C4—41no—
704Dic59⋊C4—41no—
705Dic59⋊C4—41no—
706Dic59⋊C4—41no—
707C4×Dic59—22no—
708C4×Dic59—41no—
709C4×Dic59—41no—
710C4×Dic59—41no—
711C23×C59—21no—
712C23×C59—21no—
713C23×C59—21no—
714C23×C59—21no—
715C23×C59—21no—
716C23×C59—21no—
717C23×C59—21no—
718C23×C59—21no—
719C23×C59—21no—
720C23×C59—21no—
721C23×C59—21no—
722C23×C59—21no—
723C23×C59—21no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59—21no—
727C23×C59—21no—
728C23×C59—21no—
729C23×C59—21no—
730C23×C59—21no—
731C23×C59—21no—
732C23×C59—21no—
733C23×C59—21no—
734C23×C59—21no—
735C23×C59—21no—
736C23×C59—44no—
737C23×C59—44no—
738C23×C59—44no—
739C23×C59—44no—
740C23×C59—44no—
741C23×C59—44no—
742C23×C59—44no—
743C23×C59C22×D412yes—
744C23×C59H(5,𝔽2)12yes—
745C23×C59H(5,𝔽2)12yes—
746C23×C59C2511yescharacteristic
747C22×D59—21no—
748C22×D59—21no—
749C22×D59—21no—
750C22×D59—21no—
751C22×D59—28no—
752C22×D59—28no—
753C22×D59—21no—
754C22×D59—21no—
755C22×D59—21no—
756C22×D59—21no—
757C22×D59—21no—
758C22×D59—21no—
759C22×D59—21no—
760C22×D59—21no—
761C22×D59—21no—
762C22×D59—21no—
763C22×D59—21no—
764C22×D59—21no—
765C22×D59—21no—
766C22×D59—21no—
767C22×D59—21no—
768C22×D59—21no—
769C22×D59—21no—
770C22×D59—21no—
771C22×D59—28no—
772C22×D59—21no—
773C22×D59—21no—
774C22×D59—21no—
775C22×D59—21no—
776C22×D59—21no—
777C22×D59—21no—
778C22×D59—21no—
779C22×D59—21no—
780C22×D59—21no—
781C22×D59—21no—
782C22×D59—21no—
783C22×D59—21no—
784C22×D59—21no—
785C22×D59—21no—
786C22×D59—21no—
787C22×D59—21no—
788C22×D59—21no—
789C22×D59—21no—
790C22×D59—21no—
791C22×D59—21no—
792C22×D59—21no—
793C22×D59—44no—
794C22×D59—44no—
795C22×D59—44no—
796C22×D59—44no—
797C22×D59—44no—
798C22×D59—44no—
799C22×D59—44no—
800C22×D59—44no—
801C22×D59—44no—
802C22×D59—44no—
803C22×D59—44no—
804C22×D59—44no—
805C22×D59—44no—
806C22×D59—44no—
807C22×D59—44no—
808C22×D59—44no—
809C22×D59—44no—
810C22×D59—44no—
811C22×D59—44no—
812C22×D59—44no—
813C22×D59—44no—
814C22×D59—44no—
815C22×D59—44no—
816C22×D59—44no—
817C22×D59—44no—
818C22×D59—44no—
819C22×D59—44no—
820C22×D59—44no—
821C22×D59—44no—
822C22×D59—44no—
823C22×D59—44no—
824C22×D59—44no—
825C22×D59—44no—
826C22×D59—44no—
827C22×D59—44no—
828C22×D59—44no—
829C22×D59—4128no—
830C22×D59—44no—
831C22×D59—44no—
832C22×D59—44no—
833C22×D59—44no—
834C22×D59—44no—
835C22×D59—44no—
836C22×D59—82no—
837C22×D59—82no—
838C22×D59—82no—
839C22×D59—82no—
840C22×D59C22×D412yes—
841C22×D59C22×D412yes—
842C22×D59H(5,𝔽2)12yes—
843C22×D59H(5,𝔽2)12yes—
844C22×D59H(5,𝔽2)12yes—
845C22×D59H(5,𝔽2)12yes—
846D4×C59—44no—
847D4×C59—44no—
848D4×C59—44no—
849C2×C4×C59—21no—
850C2×C4×C59—21no—
851C2×C4×C59—21no—
852C2×C4×C59—21no—
853C2×C4×C59—21no—
854C2×C4×C59—21no—
855C2×C4×C59—21no—
856C2×C4×C59—21no—
857C2×C4×C59—21no—
858C2×C4×C59—21no—
859C2×C4×C59—21no—
860C2×C4×C59—21no—
861C2×C4×C59—21no—
862C2×C4×C59—21no—
863C2×C4×C59—21no—
864C2×C4×C59—21no—
865C2×C4×C59—21no—
866C2×C4×C59—21no—
867C2×C4×C59—21no—
868C2×C4×C59—21no—
869C2×C4×C59—21no—
870C2×C4×C59—21no—
871C2×C4×C59—21no—
872C2×C4×C59—21no—
873C2×C4×C59—21no—
874C2×C4×C59—21no—
875C2×C4×C59—21no—
876C2×C4×C59—21no—
877C2×C4×C59—21no—
878C2×C4×C59—21no—
879C2×C4×C59—21no—
880C2×C4×C59C22×D412yes—
881C2×C4×C59C22×D412yes—
882C22⋊D59—44no—
883C22⋊D59—44no—
884C22⋊D59—44no—
885C22⋊D59—44no—
886C22⋊D59—44no—
887C22⋊D59—44no—
888C22⋊D59—82no—
889C22⋊D59—82no—
890C22⋊D59—82no—
891C22⋊D59—82no—
892C22⋊D59—82no—
893C22⋊D59—82no—
894C22⋊D59—82no—
895C22⋊D59—82no—
896C2×Dic59—21no—
897C2×Dic59—21no—
898C2×Dic59—21no—
899C2×Dic59—21no—
900C2×Dic59—21no—
901C2×Dic59—21no—
902C2×Dic59—21no—
903C2×Dic59—21no—
904C2×Dic59—21no—
905C2×Dic59—21no—
906C2×Dic59—21no—
907C2×Dic59—21no—
908C2×Dic59—21no—
909C2×Dic59—21no—
910C2×Dic59—21no—
911C2×Dic59—21no—
912C2×Dic59—21no—
913C2×Dic59—21no—
914C2×Dic59—21no—
915C2×Dic59—21no—
916C2×Dic59—21no—
917C2×Dic59—21no—
918C2×Dic59—21no—
919C2×Dic59—21no—
920C2×Dic59—21no—
921C2×Dic59C22×D412yes—
922C2×Dic59C22×D412yes—
923D236—44no—
924D236—44no—
925D236—44no—
926D236—44no—
927D236—44no—
928D236—82no—
929D236—82no—
930D236—82no—
931D236—82no—
932D236—82no—
933D236—82no—
934D236—82no—
935D236—82no—
936D236—82no—
937C4×D59—44no—
938C4×D59—44no—
939C4×D59—44no—
940C4×D59—82no—
941C4×D59—82no—
942Dic118—82no—
943#36703—591nomaximal, Sylow
944C22×C59—22no—
945C22×C59—22no—
946C22×C59—22no—
947C22×C59—22no—
948C22×C59—22no—
949C22×C59—22no—
950C22×C59—22no—
951C22×C59—22no—
952C22×C59—22no—
953C22×C59—416no—
954C22×C59—41no—
955C22×C59—41no—
956C22×C59—41no—
957C22×C59—41no—
958C22×C59—41no—
959C22×C59—41no—
960C22×C59—41no—
961C22×C59—41no—
962C22×C59—41no—
963C22×C59—41no—
964C22×C59—41no—
965C22×C59—41no—
966C22×C59—41no—
967C22×C59—41no—
968C22×C59—41no—
969C22×C59—41no—
970C22×C59—41no—
971C22×C59—41no—
972C22×C59—41no—
973C22×C59C23×D411yescharacteristic
974C22×C59C2×H(5,𝔽2)11yescharacteristic
975C22×C59C2×H(5,𝔽2)11yescharacteristic
976C22×C59C2×H(5,𝔽2)11yescharacteristic
977C22×C59C2×H(5,𝔽2)11yescharacteristic
978C22×C59C2×H(5,𝔽2)11yescharacteristic
979C22×C59C2×H(5,𝔽2)11yescharacteristic
980C2×D59—22no—
981C2×D59—22no—
982C2×D59—22no—
983C2×D59—22no—
984C2×D59—22no—
985C2×D59—22no—
986C2×D59—22no—
987C2×D59—22no—
988C2×D59—22no—
989C2×D59—22no—
990C2×D59—22no—
991C2×D59—22no—
992C2×D59—22no—
993C2×D59—22no—
994C2×D59—22no—
995C2×D59—416no—
996C2×D59—416no—
997C2×D59—416no—
998C2×D59—416no—
999C2×D59—416no—
1000C2×D59—416no—
1001C2×D59—41no—
1002C2×D59—41no—
1003C2×D59—41no—
1004C2×D59—41no—
1005C2×D59—41no—
1006C2×D59—41no—
1007C2×D59—41no—
1008C2×D59—41no—
1009C2×D59—41no—
1010C2×D59—41no—
1011C2×D59—41no—
1012C2×D59—41no—
1013C2×D59—41no—
1014C2×D59—41no—
1015C2×D59—41no—
1016C2×D59—41no—
1017C2×D59—41no—
1018C2×D59—41no—
1019C2×D59—41no—
1020C2×D59—41no—
1021C2×D59—41no—
1022C2×D59—41no—
1023C2×D59—41no—
1024C2×D59—41no—
1025C2×D59—41no—
1026C2×D59—41no—
1027C2×D59—41no—
1028C2×D59—41no—
1029C2×D59—41no—
1030C2×D59—41no—
1031C2×D59—41no—
1032C2×D59—41no—
1033C2×D59—41no—
1034C2×D59—88no—
1035C2×D59#53514yes—
1036C4×C59—22no—
1037C4×C59—22no—
1038C4×C59—41no—
1039C4×C59—41no—
1040C4×C59—41no—
1041C4×C59—41no—
1042C4×C59—41no—
1043C4×C59—41no—
1044C4×C59—41no—
1045C4×C59—41no—
1046C4×C59—41no—
1047Dic59—22no—
1048Dic59—22no—
1049Dic59—41no—
1050Dic59—41no—
1051Dic59—41no—
1052Dic59—41no—
1053Dic59—41no—
1054Dic59—41no—
1055Dic59—41no—
1056C2×#538—591no—
1057C22×#120—591no—
1058#2846—591no—
1059#2846—591no—
1060#2685—591no—
1061#2685—591no—
1062#2685—591no—
1063#2685D5911yescharacteristic, complemented
1064#2678—591no—
1065#2678—591no—
1066#2678—591no—
1067#2678—591no—
1068#2670—591no—
1069#2670—591no—
1070#2670—591no—
1071#2670—591no—
1072#2669—591no—
1073#2669—591no—
1074#2669—591no—
1075#2669—591no—
1076#2613—591no—
1077#2613—591no—
1078#2561—591no—
1079#2539—591no—
1080#2534—591no—
1081#2534—591no—
1082#2435—591no—
1083#2433—591no—
1084#2408—591no—
1085#2408—591no—
1086#2312—591no—
1087C2×C59—42no—
1088C2×C59—42no—
1089C2×C59—42no—
1090C2×C59—81no—
1091C2×C59C2×#53511yescharacteristic
1092C2×C59#348411yescharacteristic
1093C2×C59#348411yescharacteristic
1094C2×C59#353211yescharacteristic
1095C2×C59#353211yescharacteristic
1096C2×C59#353211yescharacteristic
1097C2×C59#353211yescharacteristic
1098D59—24no—
1099D59—42no—
1100D59—42no—
1101D59—42no—
1102D59—81no—
1103D59—81no—
1104D59—81no—
1105C26—591no—
1106C23×D4—591no—
1107C23×D4—591no—
1108C23×D4—591no—
1109#538—1188no—
1110C2×#127—591no—
1111C2×#127—591no—
1112C2×#126—591no—
1113C2×#126C2×D5911yescharacteristic, complemented
1114C2×#124—591no—
1115C2×#124—591no—
1116C2×#124—591no—
1117C2×#124—591no—
1118C2×#123—591no—
1119C2×#123—591no—
1120C2×#123—591no—
1121C2×#123—591no—
1122C2×C22⋊Q8—591no—
1123C2×#121—591no—
1124C2×#121—591no—
1125C2×#121—591no—
1126C2×#121—591no—
1127C2×#121—591no—
1128C2×#121—591no—
1129C2×#121—591no—
1130C2×#120—591no—
1131C2×#120—591no—
1132C2×#120—591no—
1133C2×#120—591no—
1134C2×#120—591no—
1135C2×#120—591no—
1136C2×#120—591no—
1137C2×#120—591no—
1138C2×#120—591no—
1139C2×#120—591no—
1140C2×#120—591no—
1141C2×#120—591no—
1142C2×#120—591no—
1143C2×#120—591no—
1144C2×#120—591no—
1145C2×#120—591no—
1146C2×#120—591no—
1147C2×#120—591no—
1148C2×#120—591no—
1149C2×#120—591no—
1150C2×#120—591no—
1151C2×#120—591no—
1152C2×#120—591no—
1153C2×#120—1188no—
1154C2×#120C2×D5911yescharacteristic
1155C2×C4×D4—591no—
1156C2×C4×D4—591no—
1157C22×C22⋊C4—591no—
1158C22×C22⋊C4—591no—
1159C22×C22⋊C4—591no—
1160#399—591no—
1161#399C2×D5911yescharacteristic, complemented
1162#397—591no—
1163#397—591no—
1164#396—591no—
1165#396—591no—
1166#396—591no—
1167#396C2×D5911yescharacteristic, complemented
1168#394—591no—
1169#394—591no—
1170#394—591no—
1171#394—591no—
1172#394—591no—
1173#394—591no—
1174#394—591no—
1175#394—591no—
1176#394—591no—
1177#394—591no—
1178#394—591no—
1179#394—591no—
1180#394—591no—
1181#394—591no—
1182#394—591no—
1183#394—591no—
1184#394C2×D5911yescharacteristic, complemented
1185#394C2×D5911yescharacteristic, complemented
1186#394C2×D5911yescharacteristic, complemented
1187#394C2×D5911yescharacteristic, complemented
1188#393—591no—
1189#393—591no—
1190#392—591no—
1191#392—591no—
1192#392—591no—
1193#392—591no—
1194#392—591no—
1195#392—591no—
1196#392—591no—
1197#392—591no—
1198#392—591no—
1199#392—591no—
1200#392—591no—
1201#392—591no—
1202#392—591no—
1203#392—591no—
1204#392—591no—
1205#392—591no—
1206#392—591no—
1207#392—591no—
1208#390—591no—
1209#390—591no—
1210#390—591no—
1211#390—591no—
1212#390—591no—
1213#390—591no—
1214#390—591no—
1215#390—591no—
1216#390—591no—
1217#390—591no—
1218#390C2×D5911yescharacteristic, complemented
1219#390C2×D5911yescharacteristic, complemented
1220#388—591no—
1221#388—591no—
1222#388—591no—
1223#388—591no—
1224#388—591no—
1225#388—591no—
1226#388—591no—
1227#388—591no—
1228#388—591no—
1229#388—591no—
1230#388—591no—
1231#388—591no—
1232#388—591no—
1233#388C2×D5911yescharacteristic, complemented
1234#388C2×D5911yescharacteristic, complemented
1235#388C2×D5911yescharacteristic, complemented
1236#386—591no—
1237#386—591no—
1238#386—591no—
1239#386—591no—
1240#381—591no—
1241#381—591no—
1242#380—591no—
1243#380—591no—
1244#379—591no—
1245#379—591no—
1246#379—591no—
1247#379—591no—
1248#379—591no—
1249#379—591no—
1250#379—591no—
1251#379—591no—
1252#379—591no—
1253#379—591no—
1254#379—591no—
1255#379—591no—
1256#379—591no—
1257#379—591no—
1258#379C2×D5911yescharacteristic, complemented
1259#379C2×D5911yescharacteristic, complemented
1260C4×C22⋊C4—591no—
1261C4×C22⋊C4—591no—
1262C59#3670311yescharacteristic, complemented, Sylow
1263C25—591no—
1264C25—591no—
1265C25—591no—
1266C25—591no—
1267C25—591no—
1268C25—591no—
1269C25—591no—
1270C25—1184no—
1271C25—2362no—
1272C25—2362no—
1273C25—2362no—
1274C25—2362no—
1275C25—2362no—
1276C25—2362no—
1277C25C22×D5911yescharacteristic
1278C22×Q8—591no—
1279C22×D4—591no—
1280C22×D4—591no—
1281C22×D4—591no—
1282C22×D4—591no—
1283C22×D4—591no—
1284C22×D4—591no—
1285C22×D4—591no—
1286C22×D4—591no—
1287C22×D4—591no—
1288C22×D4—591no—
1289C22×D4—591no—
1290C22×D4—591no—
1291C22×D4—591no—
1292C22×D4—591no—
1293C22×D4—591no—
1294C22×D4—591no—
1295C22×D4—591no—
1296C22×D4—591no—
1297C22×D4—591no—
1298C22×D4—591no—
1299C22×D4—591no—
1300C22×D4—591no—
1301C22×D4—591no—
1302C22×D4—591no—
1303C22×D4—591no—
1304C22×D4—591no—
1305C22×D4—591no—
1306C22×D4—591no—
1307C22×D4—1184no—
1308C22×D4—1184no—
1309C22×D4—1184no—
1310C22×D4—2362no—
1311C22×D4—2362no—
1312C22×D4—2362no—
1313C22×D4—2362no—
1314C22×D4—2362no—
1315C22×D4—2362no—
1316C22×D4C22×D5911yescharacteristic
1317C22×D4C22×D5911yescharacteristic
1318C22×D4C22×D5911yescharacteristic
1319C23×C4—591no—
1320C23×C4—591no—
1321C23×C4—591no—
1322C23×C4—591no—
1323C23×C4—591no—
1324#127—2362no—
1325#127—2362no—
1326#126—24no—
1327#126—1184no—
1328#124—1184no—
1329#124—1184no—
1330#124—2362no—
1331#124—2362no—
1332#123—1184no—
1333#123—1184no—
1334#123—2362no—
1335#123—2362no—
1336C22⋊Q8—1184no—
1337#121—1184no—
1338#121—1184no—
1339#121—1184no—
1340#121—2362no—
1341#121—2362no—
1342#121—2362no—
1343#121—2362no—
1344#120—24no—
1345#120—1184no—
1346#120—1184no—
1347#120—1184no—
1348#120—1184no—
1349#120—1184no—
1350#120—1184no—
1351#120—1184no—
1352#120—1184no—
1353#120—1184no—
1354#120—2362no—
1355#120—2362no—
1356#120—2362no—
1357#120—2362no—
1358#120—2362no—
1359#120—2362no—
1360#120—2362no—
1361#120—2362no—
1362#120—2362no—
1363#120—2362no—
1364#120—2362no—
1365#120—2362no—
1366#120—2362no—
1367#120—2362no—
1368C4×D4—1184no—
1369C4×D4—1184no—
1370C2×C4⋊C4—591no—
1371C2×C4⋊C4—591no—
1372C2×C4⋊C4—591no—
1373C2×C4⋊C4—591no—
1374C2×C4⋊C4—591no—
1375C2×C4⋊C4—591no—
1376C2×C4⋊C4—591no—
1377C2×C4⋊C4—591no—
1378C2×C4⋊C4C22×D5911yescharacteristic, complemented
1379C2×C4⋊C4C22×D5911yescharacteristic, complemented
1380C2×C4⋊C4C22×D5911yescharacteristic, complemented
1381C2×C4⋊C4C22×D5911yescharacteristic, complemented
1382C2×C4⋊C4C22×D5911yescharacteristic, complemented
1383C2×C4⋊C4C22×D5911yescharacteristic, complemented
1384C2×C22⋊C4—591no—
1385C2×C22⋊C4—591no—
1386C2×C22⋊C4—591no—
1387C2×C22⋊C4—598no—
1388C2×C22⋊C4—591no—
1389C2×C22⋊C4—591no—
1390C2×C22⋊C4—591no—
1391C2×C22⋊C4—591no—
1392C2×C22⋊C4—591no—
1393C2×C22⋊C4—591no—
1394C2×C22⋊C4—591no—
1395C2×C22⋊C4—591no—
1396C2×C22⋊C4—591no—
1397C2×C22⋊C4—591no—
1398C2×C22⋊C4—591no—
1399C2×C22⋊C4—591no—
1400C2×C22⋊C4—591no—
1401C2×C22⋊C4—591no—
1402C2×C22⋊C4—591no—
1403C2×C22⋊C4—591no—
1404C2×C22⋊C4—591no—
1405C2×C22⋊C4—591no—
1406C2×C22⋊C4—591no—
1407C2×C22⋊C4—591no—
1408C2×C22⋊C4—591no—
1409C2×C22⋊C4—591no—
1410C2×C22⋊C4—591no—
1411C2×C22⋊C4—591no—
1412C2×C22⋊C4—591no—
1413C2×C22⋊C4—591no—
1414C2×C22⋊C4—591no—
1415C2×C22⋊C4—591no—
1416C2×C22⋊C4—591no—
1417C2×C22⋊C4—591no—
1418C2×C22⋊C4—591no—
1419C2×C22⋊C4—591no—
1420C2×C22⋊C4—591no—
1421C2×C22⋊C4—591no—
1422C2×C22⋊C4—591no—
1423C2×C22⋊C4—591no—
1424C2×C22⋊C4—591no—
1425C2×C22⋊C4—591no—
1426C2×C22⋊C4—591no—
1427C2×C22⋊C4—591no—
1428C2×C22⋊C4—591no—
1429C2×C22⋊C4—591no—
1430C2×C22⋊C4—591no—
1431C2×C22⋊C4—591no—
1432C2×C22⋊C4—591no—
1433C2×C22⋊C4—591no—
1434C2×C22⋊C4—591no—
1435C2×C22⋊C4—591no—
1436C2×C22⋊C4—591no—
1437C2×C22⋊C4—591no—
1438C2×C22⋊C4—591no—
1439C2×C22⋊C4—591no—
1440C2×C22⋊C4—1184no—
1441C2×C22⋊C4—1184no—
1442C2×C22⋊C4C22×D5911yescharacteristic
1443C2×C22⋊C4C22×D5911yescharacteristic
1444C2×C22⋊C4C22×D5911yescharacteristic
1445C2×C22⋊C4C22×D5911yescharacteristic
1446C2×C22⋊C4C22×D5911yescharacteristic
1447C2×C22⋊C4C22×D5911yescharacteristic
1448C2×C22⋊C4C22×D5911yescharacteristic
1449C2×C22⋊C4C22×D5911yescharacteristic
1450C2×C22⋊C4C22×D5911yescharacteristic
1451C2×C22⋊C4C22×D5911yescharacteristic
1452C2×C22⋊C4C22×D5911yescharacteristic
1453C2×C22⋊C4C22×D5911yescharacteristic
1454C2×C22⋊C4C22×D5911yescharacteristic
1455C2×C22⋊C4C22×D5911yescharacteristic
1456C2×C22⋊C4C22×D5911yescharacteristic
1457C2×C22⋊C4C22×D5911yescharacteristic, complemented
1458C2×C22⋊C4C22×D5911yescharacteristic, complemented
1459C2×C22⋊C4C22×D5911yescharacteristic, complemented
1460C2×C22⋊C4C22×D5911yescharacteristic, complemented
1461C2×C42—591no—
1462C2×C42—591no—
1463C2×C42—591no—
1464C2×C42—591no—
1465C2×C42C22×D5911yescharacteristic, complemented
1466C2×C42C22×D5911yescharacteristic, complemented
1467#95—591no—
1468#95—591no—
1469#95—591no—
1470#95—591no—
1471#95—591no—
1472#95—591no—
1473#95—591no—
1474#95—591no—
1475#95—591no—
1476#95—591no—
1477#95—591no—
1478#95—591no—
1479#95C22×D5911yescharacteristic, complemented
1480#95C22×D5911yescharacteristic, complemented
1481#95C22×D5911yescharacteristic, complemented
1482#95C22×D5911yescharacteristic, complemented
1483C24—22no—
1484C24—22no—
1485C24—22no—
1486C24—41no—
1487C24—41no—
1488C24—41no—
1489C24—41no—
1490C24—591no—
1491C24—591no—
1492C24—591no—
1493C24—591no—
1494C24—594no—
1495C24—591no—
1496C24—591no—
1497C24—591no—
1498C24—1182no—
1499C24—1182no—
1500C24—1182no—
1501C24—1182no—
1502C24—1182no—
1503C24—1182no—
1504C24—1182no—
1505C24—1182no—
1506C24—1182no—
1507C24—1182no—
1508C24—1182no—
1509C24—1182no—
1510C24—1182no—
1511C24—1182no—
1512C24—1182no—
1513C24—1182no—
1514C24—1182no—
1515C24—1182no—
1516C24—1182no—
1517C24—1182no—
1518C24—1182no—
1519C24—1182no—
1520C24—1182no—
1521C24—1182no—
1522C24—2361no—
1523C24—2361no—
1524C24—2361no—
1525C24—2361no—
1526C24—2361no—
1527C24—2361no—
1528C24—2361no—
1529C24—2361no—
1530C24—2361no—
1531C24—2361no—
1532C24—2361no—
1533C24—2361no—
1534C24—2361no—
1535C24—2361no—
1536C24—2361no—
1537C24—2361no—
1538C24—2361no—
1539C24—2361no—
1540C24—2361no—
1541C24—2361no—
1542C24—2361no—
1543C24—2361no—
1544C24—2361no—
1545C24—2361no—
1546C24—23616no—
1547C24—23616no—
1548C24—23616no—
1549C24—23616no—
1550C24—23616no—
1551C24—23616no—
1552C24—23616no—
1553C24C23×D5911yescharacteristic
1554C24C23×D5911yescharacteristic
1555C24C23×D5911yescharacteristic
1556C24C23×D5911yescharacteristic
1557C2×Q8—1182no—
1558C2×Q8—2361no—
1559C2×Q8—2361no—
1560C2×D4—22no—
1561C2×D4—22no—
1562C2×D4—22no—
1563C2×D4—22no—
1564C2×D4—22no—
1565C2×D4—41no—
1566C2×D4—41no—
1567C2×D4—41no—
1568C2×D4—41no—
1569C2×D4—1182no—
1570C2×D4—1182no—
1571C2×D4—1182no—
1572C2×D4—1182no—
1573C2×D4—1182no—
1574C2×D4—1182no—
1575C2×D4—1182no—
1576C2×D4—1182no—
1577C2×D4—1182no—
1578C2×D4—1182no—
1579C2×D4—1182no—
1580C2×D4—1182no—
1581C2×D4—1182no—
1582C2×D4—1182no—
1583C2×D4—1182no—
1584C2×D4—1182no—
1585C2×D4—1182no—
1586C2×D4—1182no—
1587C2×D4—1182no—
1588C2×D4—1182no—
1589C2×D4—1182no—
1590C2×D4—1182no—
1591C2×D4—1182no—
1592C2×D4—1182no—
1593C2×D4—1182no—
1594C2×D4—1182no—
1595C2×D4—1182no—
1596C2×D4—1182no—
1597C2×D4—1182no—
1598C2×D4—1182no—
1599C2×D4—1182no—
1600C2×D4—1182no—
1601C2×D4—1182no—
1602C2×D4—1182no—
1603C2×D4—2361no—
1604C2×D4—2361no—
1605C2×D4—2361no—
1606C2×D4—2361no—
1607C2×D4—2361no—
1608C2×D4—2361no—
1609C2×D4—2361no—
1610C2×D4—2361no—
1611C2×D4—2361no—
1612C2×D4—2361no—
1613C2×D4—2361no—
1614C2×D4—2361no—
1615C2×D4—2361no—
1616C2×D4—2361no—
1617C2×D4—2361no—
1618C2×D4—2361no—
1619C2×D4—2361no—
1620C2×D4—2361no—
1621C2×D4—2361no—
1622C2×D4—2361no—
1623C2×D4—2361no—
1624C2×D4—2361no—
1625C2×D4—2361no—
1626C2×D4—2361no—
1627C2×D4—2361no—
1628C2×D4—2361no—
1629C2×D4—2361no—
1630C2×D4—2361no—
1631C2×D4—2361no—
1632C2×D4—2361no—
1633C2×D4—2361no—
1634C2×D4—2361no—
1635C2×D4—2361no—
1636C2×D4—2361no—
1637C2×D4—2361no—
1638C2×D4—2361no—
1639C2×D4—2361no—
1640C2×D4—2361no—
1641C2×D4—2361no—
1642C2×D4—2361no—
1643C2×D4—2361no—
1644C2×D4—2361no—
1645C2×D4—2361no—
1646C2×D4—2361no—
1647C2×D4—2361no—
1648C2×D4—2361no—
1649C2×D4—2361no—
1650C2×D4—2361no—
1651C2×D4—2361no—
1652C2×D4—2361no—
1653C2×D4—23616no—
1654C2×D4—23616no—
1655C2×D4—23616no—
1656C22×C4—591no—
1657C22×C4—591no—
1658C22×C4—594no—
1659C22×C4—594no—
1660C22×C4—591no—
1661C22×C4—591no—
1662C22×C4—591no—
1663C22×C4—591no—
1664C22×C4—591no—
1665C22×C4—591no—
1666C22×C4—591no—
1667C22×C4—1182no—
1668C22×C4—1182no—
1669C22×C4—1182no—
1670C22×C4—1182no—
1671C22×C4—1182no—
1672C22×C4—2361no—
1673C22×C4—2361no—
1674C22×C4—2361no—
1675C22×C4—2361no—
1676C22×C4—2361no—
1677C22×C4—2361no—
1678C22×C4—2361no—
1679C22×C4—2361no—
1680C22×C4C23×D5911yescharacteristic
1681C22×C4C23×D5911yescharacteristic
1682C22×C4C23×D5911yescharacteristic
1683C22×C4C23×D5911yescharacteristic
1684C22×C4C23×D5911yescharacteristic
1685C22×C4C23×D5911yescharacteristic
1686C22×C4C23×D5911yescharacteristic
1687C22×C4C23×D5911yescharacteristic
1688C22×C4C23×D5911yescharacteristic
1689C22×C4C23×D5911yescharacteristic
1690C22×C4C23×D5911yescharacteristic
1691C4⋊C4—22no—
1692C4⋊C4—22no—
1693C4⋊C4—22no—
1694C4⋊C4—41no—
1695C4⋊C4—41no—
1696C4⋊C4—41no—
1697C4⋊C4—1182no—
1698C4⋊C4—1182no—
1699C4⋊C4—1182no—
1700C4⋊C4—2361no—
1701C4⋊C4—2361no—
1702C4⋊C4—2361no—
1703C4⋊C4—2361no—
1704C4⋊C4—2361no—
1705C22⋊C4—22no—
1706C22⋊C4—22no—
1707C22⋊C4—22no—
1708C22⋊C4—22no—
1709C22⋊C4—22no—
1710C22⋊C4—22no—
1711C22⋊C4—41no—
1712C22⋊C4—41no—
1713C22⋊C4—41no—
1714C22⋊C4—41no—
1715C22⋊C4—41no—
1716C22⋊C4—41no—
1717C22⋊C4—41no—
1718C22⋊C4—41no—
1719C22⋊C4—41no—
1720C22⋊C4—41no—
1721C22⋊C4—41no—
1722C22⋊C4—41no—
1723C22⋊C4—594no—
1724C22⋊C4—594no—
1725C22⋊C4—594no—
1726C22⋊C4—1182no—
1727C22⋊C4—1182no—
1728C22⋊C4—1182no—
1729C22⋊C4—1182no—
1730C22⋊C4—1182no—
1731C22⋊C4—1182no—
1732C22⋊C4—1182no—
1733C22⋊C4—1182no—
1734C22⋊C4—1182no—
1735C22⋊C4—1182no—
1736C22⋊C4—1182no—
1737C22⋊C4—1182no—
1738C22⋊C4—1182no—
1739C22⋊C4—1182no—
1740C22⋊C4—1182no—
1741C22⋊C4—1182no—
1742C22⋊C4—1182no—
1743C22⋊C4—1182no—
1744C22⋊C4—1182no—
1745C22⋊C4—1182no—
1746C22⋊C4—1182no—
1747C22⋊C4—1182no—
1748C22⋊C4—1182no—
1749C22⋊C4—1182no—
1750C22⋊C4—2361no—
1751C22⋊C4—2361no—
1752C22⋊C4—2361no—
1753C22⋊C4—2361no—
1754C22⋊C4—2361no—
1755C22⋊C4—2361no—
1756C22⋊C4—2361no—
1757C22⋊C4—2361no—
1758C22⋊C4—2361no—
1759C22⋊C4—2361no—
1760C22⋊C4—2361no—
1761C22⋊C4—2361no—
1762C22⋊C4—2361no—
1763C22⋊C4—2361no—
1764C22⋊C4—2361no—
1765C22⋊C4—2361no—
1766C22⋊C4—2361no—
1767C22⋊C4—2361no—
1768C22⋊C4—2361no—
1769C22⋊C4—2361no—
1770C22⋊C4—2361no—
1771C22⋊C4—2361no—
1772C22⋊C4—2361no—
1773C22⋊C4—2361no—
1774C22⋊C4—2361no—
1775C22⋊C4—2361no—
1776C22⋊C4—2361no—
1777C22⋊C4—2361no—
1778C22⋊C4D4×D5914yes—
1779C42—22no—
1780C42—41no—
1781C42—1182no—
1782C42—2361no—
1783C42—2361no—
1784C42—2361no—
1785C23—21no—
1786C23—21no—
1787C23—21no—
1788C23—21no—
1789C23—21no—
1790C23—21no—
1791C23—21no—
1792C23—21no—
1793C23—21no—
1794C23—21no—
1795C23—21no—
1796C23—21no—
1797C23—21no—
1798C23—21no—
1799C23—21no—
1800C23—21no—
1801C23—21no—
1802C23—21no—
1803C23—21no—
1804C23—21no—
1805C23—21no—
1806C23—21no—
1807C23—21no—
1808C23—21no—
1809C23—21no—
1810C23—44no—
1811C23—44no—
1812C23—44no—
1813C23—44no—
1814C23—44no—
1815C23—44no—
1816C23—44no—
1817C23—592no—
1818C23—592no—
1819C23—592no—
1820C23—592no—
1821C23—592no—
1822C23—592no—
1823C23—1188no—
1824C23—1188no—
1825C23—1188no—
1826C23—1181no—
1827C23—1181no—
1828C23—1181no—
1829C23—1181no—
1830C23—1181no—
1831C23—1181no—
1832C23—1181no—
1833C23—1181no—
1834C23—1181no—
1835C23—1181no—
1836C23—1181no—
1837C23—1181no—
1838C23—1181no—
1839C23—1181no—
1840C23—1181no—
1841C23—1181no—
1842C23—1181no—
1843C23—1181no—
1844C23—1181no—
1845C23—1181no—
1846C23—1181no—
1847C23—1181no—
1848C23—1181no—
1849C23—1181no—
1850C23—1181no—
1851C23—1181no—
1852C23—1181no—
1853C23—1181no—
1854C23—1181no—
1855C23—1181no—
1856C23—1181no—
1857C23—1181no—
1858C23—1181no—
1859C23—1181no—
1860C23—1181no—
1861C23—1181no—
1862C23—1181no—
1863C23—1181no—
1864C23—1181no—
1865C23—1181no—
1866C23—1181no—
1867C23—1181no—
1868C23—1181no—
1869C23—4722no—
1870C23—4722no—
1871C23—4722no—
1872C23—4722no—
1873C23—2364no—
1874C23—2364no—
1875C23—2364no—
1876C23—2364no—
1877C23—2364no—
1878C23—2364no—
1879C23—2364no—
1880C23—2364no—
1881C23—2364no—
1882C23—2364no—
1883C23—2364no—
1884C23—2364no—
1885C23—2364no—
1886C23—2364no—
1887C23—2364no—
1888C23—2364no—
1889C23—2364no—
1890C23—2364no—
1891C23—2364no—
1892C23—2364no—
1893C23—2364no—
1894C23—2364no—
1895C23—2364no—
1896C23—2364no—
1897C23—2364no—
1898C23—2364no—
1899C23—2364no—
1900C23—2364no—
1901C23—2364no—
1902C23—2364no—
1903C23—2364no—
1904C23—2364no—
1905C23—2364no—
1906C23—2364no—
1907C23—2364no—
1908C23—2364no—
1909C23—2364no—
1910C23—2364no—
1911C23—2364no—
1912C23—236128no—
1913C23—2364no—
1914C23—2364no—
1915C23—2364no—
1916C23C2×D4×D5912yes—
1917C23#1427377312yes—
1918C23#1427377312yes—
1919C23C24×D5911yescharacteristic
1920Q8—4722no—
1921D4—44no—
1922D4—44no—
1923D4—44no—
1924D4—4722no—
1925D4—4722no—
1926D4—4722no—
1927D4—4722no—
1928D4—4722no—
1929D4—4722no—
1930D4—4722no—
1931D4—4722no—
1932D4—4722no—
1933D4—4722no—
1934D4—4722no—
1935D4—4722no—
1936D4—4722no—
1937D4—4722no—
1938D4—4722no—
1939D4—4722no—
1940D4—4722no—
1941D4—2364no—
1942D4—2364no—
1943D4—2364no—
1944D4—2364no—
1945D4—2364no—
1946D4—2364no—
1947D4—2364no—
1948D4—2364no—
1949D4—2364no—
1950D4—2364no—
1951D4—2364no—
1952C2×C4—21no—
1953C2×C4—21no—
1954C2×C4—21no—
1955C2×C4—21no—
1956C2×C4—21no—
1957C2×C4—21no—
1958C2×C4—21no—
1959C2×C4—21no—
1960C2×C4—21no—
1961C2×C4—21no—
1962C2×C4—21no—
1963C2×C4—21no—
1964C2×C4—21no—
1965C2×C4—21no—
1966C2×C4—21no—
1967C2×C4—21no—
1968C2×C4—21no—
1969C2×C4—21no—
1970C2×C4—21no—
1971C2×C4—21no—
1972C2×C4—21no—
1973C2×C4—21no—
1974C2×C4—21no—
1975C2×C4—21no—
1976C2×C4—21no—
1977C2×C4—21no—
1978C2×C4—21no—
1979C2×C4—21no—
1980C2×C4—21no—
1981C2×C4—21no—
1982C2×C4—21no—
1983C2×C4—592no—
1984C2×C4—592no—
1985C2×C4—1181no—
1986C2×C4—1181no—
1987C2×C4—1181no—
1988C2×C4—1181no—
1989C2×C4—1181no—
1990C2×C4—1181no—
1991C2×C4—1181no—
1992C2×C4—1181no—
1993C2×C4—1181no—
1994C2×C4—1181no—
1995C2×C4—1181no—
1996C2×C4—1181no—
1997C2×C4—1181no—
1998C2×C4—1181no—
1999C2×C4—1181no—
2000C2×C4—1181no—
2001C2×C4—1181no—
2002C2×C4—1181no—
2003C2×C4—1181no—
2004C2×C4—1181no—
2005C2×C4—1181no—
2006C2×C4—1181no—
2007C2×C4—1181no—
2008C2×C4—1181no—
2009C2×C4—1181no—
2010C2×C4—4722no—
2011C2×C4—4722no—
2012C2×C4—2364no—
2013C2×C4—2364no—
2014C2×C4—2364no—
2015C2×C4C2×D4×D5912yes—
2016C2×C4C2×D4×D5912yes—
2017C22—22no—
2018C22—22no—
2019C22—22no—
2020C22—22no—
2021C22—22no—
2022C22—22no—
2023C22—22no—
2024C22—22no—
2025C22—22no—
2026C22—416no—
2027C22—41no—
2028C22—41no—
2029C22—41no—
2030C22—41no—
2031C22—41no—
2032C22—41no—
2033C22—41no—
2034C22—41no—
2035C22—41no—
2036C22—41no—
2037C22—41no—
2038C22—41no—
2039C22—41no—
2040C22—41no—
2041C22—41no—
2042C22—41no—
2043C22—41no—
2044C22—41no—
2045C22—41no—
2046C22—594no—
2047C22—1182no—
2048C22—1182no—
2049C22—1182no—
2050C22—1182no—
2051C22—1182no—
2052C22—1182no—
2053C22—1182no—
2054C22—1182no—
2055C22—1182no—
2056C22—1182no—
2057C22—1182no—
2058C22—1182no—
2059C22—1182no—
2060C22—1182no—
2061C22—1182no—
2062C22—4728no—
2063C22—23616no—
2064C22—23616no—
2065C22—23616no—
2066C22—23616no—
2067C22—23616no—
2068C22—23616no—
2069C22—2361no—
2070C22—2361no—
2071C22—2361no—
2072C22—2361no—
2073C22—2361no—
2074C22—2361no—
2075C22—2361no—
2076C22—2361no—
2077C22—2361no—
2078C22—2361no—
2079C22—2361no—
2080C22—2361no—
2081C22—2361no—
2082C22—2361no—
2083C22—2361no—
2084C22—2361no—
2085C22—2361no—
2086C22—2361no—
2087C22—2361no—
2088C22—2361no—
2089C22—2361no—
2090C22—2361no—
2091C22—2361no—
2092C22—2361no—
2093C22—2361no—
2094C22—2361no—
2095C22—2361no—
2096C22—2361no—
2097C22—2361no—
2098C22—2361no—
2099C22—2361no—
2100C22—2361no—
2101C22—2361no—
2102C22C22×D4×D5911yescharacteristic
2103C22H(5,𝔽2)×D5911yescharacteristic
2104C22H(5,𝔽2)×D5911yescharacteristic
2105C22H(5,𝔽2)×D5911yescharacteristic
2106C22H(5,𝔽2)×D5911yescharacteristic
2107C22C2×#1427377311yescharacteristic
2108C22C2×#1427377311yescharacteristic
2109C4—22no—
2110C4—22no—
2111C4—41no—
2112C4—41no—
2113C4—41no—
2114C4—41no—
2115C4—41no—
2116C4—41no—
2117C4—41no—
2118C4—41no—
2119C4—41no—
2120C4—1182no—
2121C4—1182no—
2122C4—2361no—
2123C4—2361no—
2124C4—2361no—
2125C4—2361no—
2126C4—2361no—
2127C4—2361no—
2128C4—2361no—
2129C2—42no—
2130C2—42no—
2131C2—42no—
2132C2—81no—
2133C2—1184no—
2134C2—4721no—
2135C2—4721no—
2136C2—4721no—
2137C2—2362no—
2138C2—2362no—
2139C2—2362no—
2140C2#535×D5911yescharacteristic
2141C2#2143772611yescharacteristic
2142C2#2143772611yescharacteristic
2143C2#2143824711yescharacteristic
2144C2#2143824711yescharacteristic
2145C2#2143824911yescharacteristic
2146C2#2143825211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2685C2
hypercenter#2685D59
hypocenterC59#36703
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2685

Complements

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

NH ≅ G/Ntype
1. C2×#16837991C2semidirect
2. C2×#120×D59C2semidirect
3. #21432374C2semidirect
4. #21432374C2semidirect
5. #21430482C2semidirect
6. #21430481C2semidirect
7. #21430480C2semidirect
8. #21430428C2semidirect
9. #21430427C2semidirect
10. #21430426C2semidirect
11. #21430425C2semidirect
12. #21430324C2semidirect
13. #21430322C2semidirect
14. #21430320C2semidirect
15. #21430319C2semidirect
16. #21430312C2semidirect
17. #21430311C2semidirect
18. #21430311C2semidirect
19. #21430310C2semidirect
20. #21429809C2semidirect
21. #21429809C2semidirect
22. #21429252C2semidirect
23. #21429023C2semidirect
24. #21428990C2semidirect
25. #21428987C2semidirect
26. #21427742C2semidirect
27. #21427732C2semidirect
28. #21427450C2semidirect
29. #21427447C2semidirect
30. #21426690C2semidirect
31. C59×#2685C2semidirect
37. C2×#14273724C22semidirect
38. C2×#14273723C22semidirect
39. C2×#14273722C22semidirect
40. C2×#14273715C22semidirect
41. C2×#14273713C22semidirect
42. C2×#14273713C22semidirect
43. C2×#14273713C22semidirect
44. C2×#14273712C22semidirect
45. C2×#14273712C22semidirect
46. C2×#14273712C22semidirect
47. C2×#14273709C22semidirect
48. C2×#14273705C22semidirect
49. C2×#14273702C22semidirect
50. C2×#14273702C22semidirect
51. C2×#14273702C22semidirect
52. C2×#14273700C22semidirect
53. C2×#14273700C22semidirect
54. C2×#14273700C22semidirect
55. C2×#14273698C22semidirect
65. C2×#14273697C22semidirect
66. C2×#14273697C22semidirect
67. C2×#14273697C22semidirect
68. C2×#14273697C22semidirect
69. C2×#14273697C22semidirect
70. C2×#14273697C22semidirect
71. C2×#14273697C22semidirect
72. C2×#14273697C22semidirect
74. C2×#14273696C22semidirect
75. C2×#14273696C22semidirect
80. C2×C4×D236C22semidirect
81. C2×#14273689C22semidirect
85. #16837337C22semidirect
86. #16837331C22semidirect
87. #16837330C22semidirect
88. #16837325C22semidirect
89. #16837324C22semidirect
90. #16837324C22semidirect
91. #16837320C22semidirect
92. #16837320C22semidirect
93. #16837319C22semidirect
94. #16837319C22semidirect
95. #16837319C22semidirect
96. #16837319C22semidirect
97. #16837319C22semidirect
98. #16837318C22semidirect
99. #16837318C22semidirect
100. #16837318C22semidirect
101. #16837317C22semidirect
102. #16837317C22semidirect
103. #16837317C22semidirect
104. #16837317C22semidirect
105. #16837317C22semidirect
106. #16837316C22semidirect
107. #16837315C22semidirect
108. #16837314C22semidirect
109. #16837312C22semidirect
110. #16837312C22semidirect
111. #16837312C22semidirect
112. #16837312C22semidirect
113. #16837311C22semidirect
114. #16837311C22semidirect
115. #16837311C22semidirect
116. #16837311C22semidirect
117. #16837311C22semidirect
118. #16837311C22semidirect
119. #16837311C22semidirect
120. #16837311C22semidirect
121. #16837311C22semidirect
122. #16837311C22semidirect
123. #16837311C22semidirect
124. #16837310C22semidirect
125. #16837310C22semidirect
126. #16837310C22semidirect
127. #16837304C22semidirect
128. #16837303C22semidirect
129. #16837303C22semidirect
130. #16837303C22semidirect
131. #16837302C22semidirect
132. #16837302C22semidirect
133. #16837302C22semidirect
134. #16837302C22semidirect
135. #16837302C22semidirect
136. #16837302C22semidirect
137. #16837296C22semidirect
138. #16837296C22semidirect
139. #16837296C22semidirect
140. #16837295C22semidirect
141. #16837294C22semidirect
142. #16837293C22semidirect
143. #16837293C22semidirect
144. #16837293C22semidirect
145. #16837292C22semidirect
146. #16837292C22semidirect
147. #16837292C22semidirect
148. #16837291C22semidirect
149. #16837290C22semidirect
150. #16837280C22semidirect
151. #16837280C22semidirect
152. #16837278C22semidirect
153. #16837278C22semidirect
154. #16837264C22semidirect
155. #16837264C22semidirect
156. #16837261C22semidirect
157. #16837259C22semidirect
164. #16837257C22semidirect
165. #16837257C22semidirect
166. #16837257C22semidirect
167. #16837257C22semidirect
168. #16837257C22semidirect
169. #16837257C22semidirect
170. #16837257C22semidirect
171. #16837257C22semidirect
172. C4×(C2×D59)⋊C4C22semidirect
173. #16837249C22semidirect
174. C2×#126×C59C22semidirect
176. C59×#399C22semidirect
177. C59×#396C22semidirect
178. C59×#394C22semidirect
179. C59×#394C22semidirect
180. C59×#394C22semidirect
181. C59×#394C22semidirect
182. C59×#390C22semidirect
183. C59×#390C22semidirect
184. C59×#388C22semidirect
185. C59×#388C22semidirect
186. C59×#388C22semidirect
187. C59×#379C22semidirect
188. C59×#379C22semidirect
203. C22×Dic118C23semidirect
215. C22×D236C23semidirect
216. C22×D236C23semidirect
217. C22×D236C23semidirect
230. C22×C22⋊D59C23semidirect
231. C22×C22⋊D59C23semidirect
244. C22×C4×D59C23semidirect
245. C22×C4×D59C23semidirect
290. C2×C4⋊Dic59C23semidirect
291. C2×C4⋊Dic59C23semidirect
292. C2×Dic59⋊C4C23semidirect
293. C2×Dic59⋊C4C23semidirect
294. C2×Dic59⋊C4C23semidirect
295. C2×Dic59⋊C4C23semidirect
296. C2×Dic59⋊C4C23semidirect
297. C2×Dic59⋊C4C23semidirect
307. C2×C22⋊Dic59C23semidirect
308. C2×C22⋊Dic59C23semidirect
339. C2×(C2×D59)⋊C4C23semidirect
340. C2×(C2×D59)⋊C4C23semidirect
341. C2×(C2×D59)⋊C4C23semidirect
342. C2×(C2×D59)⋊C4C23semidirect
343. C2×(C2×D59)⋊C4C23semidirect
344. C2×(C2×D59)⋊C4C23semidirect
345. C2×(C2×D59)⋊C4C23semidirect
346. C2×(C2×D59)⋊C4C23semidirect
347. C2×(C2×D59)⋊C4C23semidirect
348. C2×(C2×D59)⋊C4C23semidirect
349. C2×(C2×D59)⋊C4C23semidirect
350. C2×(C2×D59)⋊C4C23semidirect
351. C2×(C2×D59)⋊C4C23semidirect
352. C2×(C2×D59)⋊C4C23semidirect
355. C22⋊C4×D59D4semidirect
356. C2×C4×Dic59C23semidirect
357. C2×C4×Dic59C23semidirect
358. C2×C4×Dic59C23semidirect
359. C2×C4×Dic59C23semidirect
360. C59⋊#95C23semidirect
361. C59⋊#95C23semidirect
362. C59⋊#95C23semidirect
363. C59⋊#95C23semidirect
364. C59⋊#95C23semidirect
365. C59⋊#95C23semidirect
366. C59⋊#95C23semidirect
367. C59⋊#95C23semidirect
368. C59⋊#95C23semidirect
369. C59⋊#95C23semidirect
370. C59⋊#95C23semidirect
371. C59⋊#95C23semidirect
378. C2×C4⋊C4×C59C23semidirect
379. C2×C4⋊C4×C59C23semidirect
380. C2×C4⋊C4×C59C23semidirect
381. C2×C4⋊C4×C59C23semidirect
382. C2×C4⋊C4×C59C23semidirect
383. C2×C4⋊C4×C59C23semidirect
399. C2×C22⋊C4×C59C23semidirect
400. C2×C22⋊C4×C59C23semidirect
401. C2×C22⋊C4×C59C23semidirect
402. C2×C22⋊C4×C59C23semidirect
403. C2×C42×C59C23semidirect
404. C2×C42×C59C23semidirect
405. #95×C59C23semidirect
406. #95×C59C23semidirect
407. #95×C59C23semidirect
408. #95×C59C23semidirect
1063. #2685D59semidirect
1113. C2×#126C2×D59semidirect
1161. #399C2×D59semidirect
1167. #396C2×D59semidirect
1184. #394C2×D59semidirect
1185. #394C2×D59semidirect
1186. #394C2×D59semidirect
1187. #394C2×D59semidirect
1218. #390C2×D59semidirect
1219. #390C2×D59semidirect
1233. #388C2×D59semidirect
1234. #388C2×D59semidirect
1235. #388C2×D59semidirect
1258. #379C2×D59semidirect
1259. #379C2×D59semidirect
1262. C59#36703semidirect
1378. C2×C4⋊C4C22×D59semidirect
1379. C2×C4⋊C4C22×D59semidirect
1380. C2×C4⋊C4C22×D59semidirect
1381. C2×C4⋊C4C22×D59semidirect
1382. C2×C4⋊C4C22×D59semidirect
1383. C2×C4⋊C4C22×D59semidirect
1457. C2×C22⋊C4C22×D59semidirect
1458. C2×C22⋊C4C22×D59semidirect
1459. C2×C22⋊C4C22×D59semidirect
1460. C2×C22⋊C4C22×D59semidirect
1465. C2×C42C22×D59semidirect
1466. C2×C42C22×D59semidirect
1479. #95C22×D59semidirect
1480. #95C22×D59semidirect
1481. #95C22×D59semidirect
1482. #95C22×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168379912
C2×#120×D592
#214323742
#214304822
#214304812
#214304802
#214304282
#214304272
#214304262
#214304252
#214303242
#214303222
#214303202
#214303192
#214303122
#214303112
#214303102
#214298092
#214292522
#214290232
#214289902
#214289872
#214277422
#214277322
#214274502
#214274472
#214266902
C59×#26852
#3670359