Finite Group Databasebeta

← #28795648

Subgroups — #28795648

Order 15104.

3394 conjugacy classes of subgroups.

The subgroup lattice has 2116 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837962C211yesmaximal, characteristic, complemented
2C2×#121×D59C211yesmaximal, characteristic, complemented
3#21432377C211yesmaximal, characteristic, complemented
4#21432375C211yesmaximal, characteristic, complemented
5#21430746C211yesmaximal, characteristic, complemented
6#21430745C211yesmaximal, characteristic, complemented
7#21430744C211yesmaximal, characteristic, complemented
8#21430743C211yesmaximal, characteristic, complemented
9#21430737C211yesmaximal, characteristic, complemented
10#21430735C211yesmaximal, characteristic, complemented
11#21430734C211yesmaximal, characteristic, complemented
12#21430732C211yesmaximal, characteristic, complemented
13#21430315C211yesmaximal, characteristic, complemented
14#21430313C211yesmaximal, characteristic, complemented
15#21430312C211yesmaximal, characteristic, complemented
16#21430310C211yesmaximal, characteristic, complemented
17#21430310C211yesmaximal, characteristic, complemented
18#21430309C211yesmaximal, characteristic, complemented
19#21430308C211yesmaximal, characteristic, complemented
20#21429835C211yesmaximal, characteristic, complemented
21#21429829C211yesmaximal, characteristic, complemented
22#21429574C211yesmaximal, characteristic, complemented
23#21429570C211yesmaximal, characteristic, complemented
24#21427730C211yesmaximal, characteristic, complemented
25#21427728C211yesmaximal, characteristic, complemented
26#21427407C211yesmaximal, characteristic, complemented
27#21427407C211yesmaximal, characteristic, complemented
28#21427405C211yesmaximal, characteristic, complemented
29#21427405C211yesmaximal, characteristic, complemented
30#21426690C211yesmaximal, characteristic, complemented
31C59×#2669C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C22×D4×D59C2211yescharacteristic
35C22×D4×D59C2211yescharacteristic
36C22×D4×D59C2211yescharacteristic, complemented
37C23×C4×D59C2211yescharacteristic, complemented
38#16837962—28no—
39C2×#14273723C2211yescharacteristic, complemented
40C2×#14273723C2211yescharacteristic, complemented
41C2×#14273723C2211yescharacteristic, complemented
42C2×#14273711C2211yescharacteristic, complemented
43C2×#14273709C2211yescharacteristic, complemented
44C2×#14273709C2211yescharacteristic, complemented
45C2×#14273708C2211yescharacteristic, complemented
46C2×#14273702C2211yescharacteristic, complemented
47C2×#14273701C2211yescharacteristic, complemented
48C2×#14273700C2211yescharacteristic
49C2×#14273700C2211yescharacteristic
50C2×#14273700C2211yescharacteristic, complemented
51C2×#14273700C2211yescharacteristic, complemented
52C2×#14273700C2211yescharacteristic, complemented
53C2×#14273699C2211yescharacteristic, complemented
54C2×#14273699C2211yescharacteristic, complemented
55C2×#14273699C2211yescharacteristic, complemented
56C2×#14273698C2211yescharacteristic
57C2×#14273698C2211yescharacteristic
58C2×#14273698C2211yescharacteristic, complemented
59C2×#14273698C2211yescharacteristic, complemented
60#121×D59—28no—
61C2×#14273697C2211yescharacteristic, complemented
62C2×#14273697C2211yescharacteristic, complemented
63C2×#14273697C2211yescharacteristic, complemented
64C2×#14273697C2211yescharacteristic, complemented
65C2×#14273696C2211yescharacteristic, complemented
66C2×#14273696C2211yescharacteristic, complemented
67C2×#14273696C2211yescharacteristic, complemented
68C2×#14273695C2211yescharacteristic, complemented
69C2×#14273695C2211yescharacteristic, complemented
70C2×#14273695C2211yescharacteristic, complemented
71C2×#14273695C2211yescharacteristic, complemented
72C2×#14273695C2211yescharacteristic, complemented
73C2×#14273695C2211yescharacteristic, complemented
74C2×#14273695C2211yescharacteristic, complemented
75C2×#14273695C2211yescharacteristic, complemented
76C2×#14273695C2211yescharacteristic, complemented
77C2×#14273695C2211yescharacteristic, complemented
78C2×C4⋊C4×D59C2211yescharacteristic, complemented
79C2×C22⋊C4×D59C2211yescharacteristic
80C2×C22⋊C4×D59C2211yescharacteristic, complemented
81#16837344C2211yescharacteristic, complemented
82#16837343C2211yescharacteristic, complemented
83#16837342C2211yescharacteristic, complemented
84#16837341C2211yescharacteristic, complemented
85#16837331C2211yescharacteristic, complemented
86#16837330C2211yescharacteristic, complemented
87#16837329C2211yescharacteristic, complemented
88#16837327C2211yescharacteristic, complemented
89#16837319C2211yescharacteristic, complemented
90#16837318C2211yescharacteristic, complemented
91#16837318C2211yescharacteristic, complemented
92#16837318C2211yescharacteristic, complemented
93#16837317C2211yescharacteristic, complemented
94#16837317C2211yescharacteristic, complemented
95#16837317C2211yescharacteristic, complemented
96#16837316C2211yescharacteristic, complemented
97#16837316C2211yescharacteristic, complemented
98#16837316C2211yescharacteristic, complemented
99#16837312C2211yescharacteristic, complemented
100#16837311C2211yescharacteristic, complemented
101#16837311C2211yescharacteristic, complemented
102#16837311C2211yescharacteristic, complemented
103#16837311C2211yescharacteristic, complemented
104#16837311C2211yescharacteristic, complemented
105#16837311C2211yescharacteristic, complemented
106#16837311C2211yescharacteristic, complemented
107#16837311C2211yescharacteristic, complemented
108#16837310C2211yescharacteristic, complemented
109#16837310C2211yescharacteristic, complemented
110#16837310C2211yescharacteristic, complemented
111#16837310C2211yescharacteristic, complemented
112#16837310C2211yescharacteristic, complemented
113#16837310C2211yescharacteristic, complemented
114#16837310C2211yescharacteristic, complemented
115#16837310C2211yescharacteristic, complemented
116#16837310C2211yescharacteristic, complemented
117#16837310C2211yescharacteristic, complemented
118#16837310C2211yescharacteristic, complemented
119#16837310C2211yescharacteristic, complemented
120#16837310C2211yescharacteristic, complemented
121#16837310C2211yescharacteristic, complemented
122#16837310C2211yescharacteristic, complemented
123#16837305C2211yescharacteristic, complemented
124#16837304C2211yescharacteristic, complemented
125#16837302C2211yescharacteristic, complemented
126#16837302C2211yescharacteristic, complemented
127#16837296C2211yescharacteristic, complemented
128#16837296C2211yescharacteristic, complemented
129#16837295C2211yescharacteristic, complemented
130#16837295C2211yescharacteristic, complemented
131#16837295C2211yescharacteristic, complemented
132#16837294C2211yescharacteristic, complemented
133#16837293C2211yescharacteristic, complemented
134#16837293C2211yescharacteristic, complemented
135#16837292C2211yescharacteristic, complemented
136#16837292C2211yescharacteristic, complemented
137#16837291C2211yescharacteristic, complemented
138#16837290C2211yescharacteristic, complemented
139#16837290C2211yescharacteristic, complemented
140#16837290C2211yescharacteristic, complemented
141#16837282C2211yescharacteristic, complemented
142#16837282C2211yescharacteristic, complemented
143#16837282C2211yescharacteristic, complemented
144#16837282C2211yescharacteristic, complemented
145#16837281C2211yescharacteristic, complemented
146#16837280C2211yescharacteristic, complemented
147#16837280C2211yescharacteristic, complemented
148#16837280C2211yescharacteristic, complemented
149#16837280C2211yescharacteristic, complemented
150#16837280C2211yescharacteristic, complemented
151#16837279C2211yescharacteristic, complemented
152#16837279C2211yescharacteristic, complemented
153#16837278C2211yescharacteristic, complemented
154#16837278C2211yescharacteristic, complemented
155#16837278C2211yescharacteristic, complemented
156#16837278C2211yescharacteristic, complemented
157#16837278C2211yescharacteristic, complemented
158#16837278C2211yescharacteristic, complemented
159#16837278C2211yescharacteristic, complemented
160#16837278C2211yescharacteristic, complemented
161#16837278C2211yescharacteristic, complemented
162#16837278C2211yescharacteristic, complemented
163#16837278C2211yescharacteristic, complemented
164#16837262C2211yescharacteristic, complemented
165#16837261C2211yescharacteristic, complemented
166#16837261C2211yescharacteristic, complemented
167#16837260C2211yescharacteristic, complemented
168#16837259C2211yescharacteristic, complemented
169#16837259C2211yescharacteristic, complemented
170#16837257C2211yescharacteristic
171#16837257C2211yescharacteristic
172C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
173#16837249C2211yescharacteristic, complemented
174C2×#127×C59C2211yescharacteristic, complemented
175C2×#121×C59C2211yescharacteristic, complemented
176C2×#121×C59C2211yescharacteristic, complemented
177C2×#120×C59C2211yescharacteristic, complemented
178C2×#120×C59C2211yescharacteristic, complemented
179C2×#120×C59C2211yescharacteristic, complemented
180C59×#394C2211yescharacteristic, complemented
181C59×#394C2211yescharacteristic, complemented
182C59×#392C2211yescharacteristic, complemented
183C59×#392C2211yescharacteristic, complemented
184C59×#392C2211yescharacteristic, complemented
185C59×#392C2211yescharacteristic, complemented
186C59×#388C2211yescharacteristic, complemented
187C59×#388C2211yescharacteristic, complemented
188C59×#386C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C24×D59C2311yescharacteristic
192C24×D59C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×C22⋊D59—24no—
200C22×C22⋊D59—42no—
201C22×C22⋊D59—42no—
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C22×C22⋊D59C2311yescharacteristic
208C22×C22⋊D59C2311yescharacteristic
209C22×C22⋊D59C2311yescharacteristic
210C22×C22⋊D59C2311yescharacteristic
211C22×C22⋊D59C2311yescharacteristic
212C22×C22⋊D59C2311yescharacteristic
213C22×C22⋊D59C2311yescharacteristic
214C22×C22⋊D59C2311yescharacteristic
215C22×C22⋊D59C2311yescharacteristic
216C22×C22⋊D59C2311yescharacteristic
217C22×C22⋊D59C2311yescharacteristic
218C22×C22⋊D59C2311yescharacteristic
219C22×C22⋊D59C2311yescharacteristic
220C22×C22⋊D59C2311yescharacteristic
221C22×C22⋊D59C2311yescharacteristic
222C22×C22⋊D59C2311yescharacteristic
223C22×C22⋊D59C2311yescharacteristic
224C2×D4×D59—24no—
225C2×D4×D59—24no—
226C2×D4×D59—24no—
227C2×D4×D59—24no—
228C2×D4×D59—42no—
229C2×D4×D59—42no—
230C2×D4×D59—42no—
231C2×D4×D59—42no—
232C2×D4×D59—42no—
233C2×D4×D59—42no—
234C2×D4×D59—42no—
235C2×D4×D59—42no—
236C23×Dic59C2311yescharacteristic
237C23×Dic59C2311yescharacteristic
238C22×C4×D59—24no—
239C22×C4×D59—42no—
240C22×C4×D59—42no—
241C22×C4×D59C2311yescharacteristic
242C22×C4×D59C2311yescharacteristic
243C22×C4×D59C2311yescharacteristic
244C22×C4×D59C2311yescharacteristic
245C22×C4×D59C2311yescharacteristic
246C22×C4×D59C2311yescharacteristic
247C22×C4×D59C2311yescharacteristic
248#14273723—42no—
249#14273723—42no—
250#14273723—42no—
251#14273711—24no—
252#14273709—24no—
253#14273709—24no—
254#14273708—24no—
255#14273702—24no—
256#14273701—24no—
257#14273700—24no—
258#14273700—24no—
259#14273700—24no—
260#14273700—24no—
261#14273700—42no—
262#14273699—24no—
263#14273699—24no—
264#14273699—42no—
265#14273698—24no—
266#14273698—24no—
267#14273698—24no—
268#14273698—42no—
269#14273697—42no—
270#14273697—42no—
271#14273697—42no—
272#14273697—42no—
273#14273696—24no—
274#14273696—42no—
275#14273696—42no—
276#14273695—24no—
277#14273695—24no—
278#14273695—42no—
279#14273695—42no—
280#14273695—42no—
281#14273695—42no—
282#14273695—42no—
283#14273695—42no—
284#14273695—42no—
285#14273695—42no—
286C2×C4⋊Dic59C2311yescharacteristic
287C2×C4⋊Dic59C2311yescharacteristic
288C2×C4⋊Dic59C2311yescharacteristic
289C2×C4⋊Dic59C2311yescharacteristic
290C2×Dic59⋊C4C2311yescharacteristic
291C2×Dic59⋊C4C2311yescharacteristic
292C2×Dic59⋊C4C2311yescharacteristic
293C2×Dic59⋊C4C2311yescharacteristic
294C2×Dic59⋊C4C2311yescharacteristic
295C2×Dic59⋊C4C2311yescharacteristic
296C4⋊C4×D59—24no—
297C2×C22⋊Dic59C2311yescharacteristic
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
308C2×C22⋊Dic59C2311yescharacteristic
309C2×C22⋊Dic59C2311yescharacteristic
310C2×C22⋊Dic59C2311yescharacteristic
311C2×C22⋊Dic59C2311yescharacteristic
312C2×C22⋊Dic59C2311yescharacteristic
313C2×C22⋊Dic59C2311yescharacteristic
314C2×C22⋊Dic59C2311yescharacteristic
315C2×C22⋊Dic59C2311yescharacteristic
316C2×C22⋊Dic59C2311yescharacteristic
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
340C2×(C2×D59)⋊C4C2311yescharacteristic
341C2×(C2×D59)⋊C4C2311yescharacteristic
342C2×(C2×D59)⋊C4C2311yescharacteristic
343C22⋊C4×D59—24no—
344C22⋊C4×D59D418yescomplemented
345C2×C4×Dic59C2311yescharacteristic
346C2×C4×Dic59C2311yescharacteristic
347C2×C4×Dic59C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C59⋊#95C2311yescharacteristic
355C59⋊#95C2311yescharacteristic
356C59⋊#95C2311yescharacteristic
357C59⋊#95C2311yescharacteristic
358C59⋊#95C2311yescharacteristic
359C59⋊#95C2311yescharacteristic
360C59⋊#95C2311yescharacteristic
361C59⋊#95C2311yescharacteristic
362C59⋊#95C2311yescharacteristic
363C59⋊#95C2311yescharacteristic
364C59⋊#95C2311yescharacteristic
365C59⋊#95C2311yescharacteristic
366C59⋊#95C2311yescharacteristic
367C59⋊#95C2311yescharacteristic
368C25×C59C2311yescharacteristic
369C22×D4×C59C2311yescharacteristic
370C22×D4×C59C2311yescharacteristic
371C22×D4×C59C2311yescharacteristic
372C22×D4×C59C2311yescharacteristic
373C22×D4×C59C2311yescharacteristic
374C22×D4×C59C2311yescharacteristic
375C22×D4×C59C2311yescharacteristic
376C22×D4×C59C2311yescharacteristic
377C22×D4×C59C2311yescharacteristic
378C22×D4×C59C2311yescharacteristic
379C22×D4×C59C2311yescharacteristic
380C22×D4×C59C2311yescharacteristic
381C23×C4×C59C2311yescharacteristic
382#127×C59—42no—
383#121×C59—24no—
384#121×C59—42no—
385#120×C59—24no—
386#120×C59—42no—
387#120×C59—42no—
388C2×C4⋊C4×C59C2311yescharacteristic
389C2×C4⋊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
400C2×C22⋊C4×C59C2311yescharacteristic
401C2×C22⋊C4×C59C2311yescharacteristic
402C2×C22⋊C4×C59C2311yescharacteristic
403C2×C22⋊C4×C59C2311yescharacteristic
404C2×C42×C59C2311yescharacteristic
405#95×C59C2311yescharacteristic
406#95×C59C2311yescharacteristic
407#95×C59C2311yescharacteristic
408#95×C59C2311yescharacteristic
409C24×C59—22no—
410C24×C59—41no—
411C24×C59—41no—
412C24×C59—41no—
413C24×C59—41no—
414C24×C59—41no—
415C24×C59—41no—
416C24×C59C2411yescharacteristic
417C24×C59C2411yescharacteristic
418C24×C59C2411yescharacteristic
419C24×C59C2411yescharacteristic
420C24×C59C2411yescharacteristic
421C24×C59C2411yescharacteristic
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—41no—
434C23×D59—41no—
435C23×D59—41no—
436C23×D59—41no—
437C23×D59—41no—
438C23×D59—41no—
439C23×D59—41no—
440C23×D59—41no—
441C23×D59—41no—
442C23×D59—41no—
443C23×D59—41no—
444C23×D59—41no—
445C23×D59—41no—
446C23×D59—41no—
447C23×D59—41no—
448C23×D59—41no—
449C23×D59C2×D414yes—
450C23×D59C2411yescharacteristic
451C23×D59C2411yescharacteristic
452C23×D59C2411yescharacteristic
453C23×D59C2411yescharacteristic
454C23×D59C2411yescharacteristic
455C2×D4×C59—22no—
456C2×D4×C59—22no—
457C2×D4×C59—22no—
458C2×D4×C59—22no—
459C2×D4×C59—22no—
460C2×D4×C59—22no—
461C2×D4×C59—22no—
462C2×D4×C59—22no—
463C2×D4×C59—22no—
464C2×D4×C59—22no—
465C2×D4×C59—22no—
466C2×D4×C59—22no—
467C2×D4×C59—41no—
468C2×D4×C59—41no—
469C2×D4×C59—41no—
470C2×D4×C59—41no—
471C2×D4×C59—41no—
472C2×D4×C59—41no—
473C2×D4×C59—41no—
474C2×D4×C59—41no—
475C2×D4×C59—41no—
476C2×D4×C59—41no—
477C2×D4×C59—41no—
478C2×D4×C59—41no—
479C2×D4×C59—41no—
480C2×D4×C59—41no—
481C2×D4×C59—41no—
482C2×D4×C59—41no—
483C2×D4×C59—41no—
484C2×D4×C59—41no—
485C2×D4×C59—41no—
486C2×D4×C59—41no—
487C2×D4×C59—41no—
488C2×D4×C59—41no—
489C2×D4×C59—41no—
490C2×D4×C59—41no—
491C22×C4×C59—22no—
492C22×C4×C59—22no—
493C22×C4×C59—41no—
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—22no—
520C2×C22⋊D59—22no—
521C2×C22⋊D59—22no—
522C2×C22⋊D59—22no—
523C2×C22⋊D59—22no—
524C2×C22⋊D59—22no—
525C2×C22⋊D59—22no—
526C2×C22⋊D59—22no—
527C2×C22⋊D59—22no—
528C2×C22⋊D59—22no—
529C2×C22⋊D59—22no—
530C2×C22⋊D59—22no—
531C2×C22⋊D59—22no—
532C2×C22⋊D59—22no—
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—
545C2×C22⋊D59—41no—
546C2×C22⋊D59—41no—
547C2×C22⋊D59—41no—
548C2×C22⋊D59—41no—
549C2×C22⋊D59—41no—
550C2×C22⋊D59—41no—
551C2×C22⋊D59—41no—
552C2×C22⋊D59—41no—
553C2×C22⋊D59—41no—
554C2×C22⋊D59—41no—
555C2×C22⋊D59—41no—
556C2×C22⋊D59—41no—
557C2×C22⋊D59—41no—
558C2×C22⋊D59—41no—
559C2×C22⋊D59—41no—
560C2×C22⋊D59—41no—
561C2×C22⋊D59—41no—
562C2×C22⋊D59—41no—
563C2×C22⋊D59—41no—
564C2×C22⋊D59—41no—
565C2×C22⋊D59—41no—
566C2×C22⋊D59—41no—
567C2×C22⋊D59—41no—
568C2×C22⋊D59—41no—
569C2×C22⋊D59—416no—
570C22×Dic59—22no—
571C22×Dic59—22no—
572C22×Dic59—22no—
573C22×Dic59—41no—
574C22×Dic59—41no—
575C22×Dic59—41no—
576C22×Dic59C2411yescharacteristic
577C22×Dic59C2411yescharacteristic
578C22×Dic59C2411yescharacteristic
579C22×Dic59C2411yescharacteristic
580C22×Dic59C2411yescharacteristic
581C22×Dic59C2411yescharacteristic
582C22×Dic59C2411yescharacteristic
583C22×Dic59C2411yescharacteristic
584C22×Dic59C2411yescharacteristic
585C22×Dic59C2411yescharacteristic
586C22×Dic59C2411yescharacteristic
587D4×D59—416no—
588D4×D59—416no—
589D4×D59—416no—
590D4×D59—416no—
591C2×D236—22no—
592C2×D236—22no—
593C2×D236—22no—
594C2×D236—22no—
595C2×D236—22no—
596C2×D236—22no—
597C2×D236—22no—
598C2×D236—22no—
599C2×D236—22no—
600C2×D236—22no—
601C2×D236—41no—
602C2×D236—41no—
603C2×D236—41no—
604C2×D236—41no—
605C2×D236—41no—
606C2×D236—41no—
607C2×D236—41no—
608C2×D236—41no—
609C2×C4×D59—22no—
610C2×C4×D59—22no—
611C2×C4×D59—22no—
612C2×C4×D59—22no—
613C2×C4×D59—22no—
614C2×C4×D59—22no—
615C2×C4×D59—22no—
616C2×C4×D59—22no—
617C2×C4×D59—22no—
618C2×C4×D59—416no—
619C2×C4×D59—41no—
620C2×C4×D59—41no—
621C2×C4×D59—41no—
622C2×C4×D59—41no—
623C2×C4×D59—41no—
624C2×C4×D59—41no—
625C2×C4×D59—41no—
626C2×C4×D59—41no—
627C2×C4×D59—41no—
628C2×C4×D59—41no—
629C2×C4×D59C2×D414yes—
630C2×C4×D59C2×D414yes—
631C4⋊C4×C59—22no—
632C4⋊C4×C59—41no—
633C22⋊C4×C59—22no—
634C22⋊C4×C59—22no—
635C22⋊C4×C59—22no—
636C22⋊C4×C59—22no—
637C22⋊C4×C59—22no—
638C22⋊C4×C59—22no—
639C22⋊C4×C59—41no—
640C22⋊C4×C59—41no—
641C22⋊C4×C59—41no—
642C22⋊C4×C59—41no—
643C22⋊C4×C59—41no—
644C22⋊C4×C59—41no—
645C22⋊C4×C59—41no—
646C22⋊C4×C59C2×D414yes—
647C42×C59—41no—
648C22⋊Dic59—22no—
649C22⋊Dic59—22no—
650C22⋊Dic59—22no—
651C22⋊Dic59—22no—
652C22⋊Dic59—22no—
653C22⋊Dic59—22no—
654C22⋊Dic59—22no—
655C22⋊Dic59—22no—
656C22⋊Dic59—41no—
657C22⋊Dic59—41no—
658C22⋊Dic59—41no—
659C22⋊Dic59—41no—
660C22⋊Dic59—41no—
661C22⋊Dic59—41no—
662C22⋊Dic59—41no—
663C22⋊Dic59—41no—
664C22⋊Dic59—41no—
665C22⋊Dic59—41no—
666C22⋊Dic59—41no—
667C22⋊Dic59C2×D414yes—
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—22no—
676(C2×D59)⋊C4—22no—
677(C2×D59)⋊C4—22no—
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)⋊C4C2×D414yes—
693(C2×D59)⋊C4C2×D414yes—
694C4⋊Dic59—22no—
695C4⋊Dic59—22no—
696C4⋊Dic59—22no—
697C4⋊Dic59—41no—
698Dic59⋊C4—22no—
699Dic59⋊C4—22no—
700Dic59⋊C4—22no—
701Dic59⋊C4—22no—
702Dic59⋊C4—41no—
703Dic59⋊C4—41no—
704C4×Dic59—41no—
705C4×Dic59—41no—
706C4×Dic59—41no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59—21no—
710C23×C59—21no—
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—21no—
737C23×C59—21no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59—21no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59—21no—
744C23×C59—21no—
745C23×C59—21no—
746C23×C59—21no—
747C23×C59—44no—
748C23×C59—82no—
749C23×C59—82no—
750C23×C59—82no—
751C23×C59—82no—
752C23×C59—82no—
753C23×C59—82no—
754C23×C59C22×D412yes—
755C23×C59H(5,𝔽2)12yes—
756C23×C59C2511yescharacteristic
757C22×D59—21no—
758C22×D59—21no—
759C22×D59—21no—
760C22×D59—21no—
761C22×D59—28no—
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—21no—
772C22×D59—21no—
773C22×D59—21no—
774C22×D59—28no—
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—44no—
790C22×D59—44no—
791C22×D59—44no—
792C22×D59—44no—
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—82no—
802C22×D59—82no—
803C22×D59—82no—
804C22×D59—82no—
805C22×D59—82no—
806C22×D59—82no—
807C22×D59—82no—
808C22×D59—82no—
809C22×D59—82no—
810C22×D59—82no—
811C22×D59—82no—
812C22×D59—82no—
813C22×D59—82no—
814C22×D59—82no—
815C22×D59C22×D412yes—
816C22×D59C22×D412yes—
817C22×D59H(5,𝔽2)12yes—
818C22×D59H(5,𝔽2)12yes—
819C22×D59H(5,𝔽2)12yes—
820D4×C59—44no—
821D4×C59—44no—
822D4×C59—44no—
823D4×C59—44no—
824D4×C59—82no—
825D4×C59—82no—
826D4×C59—82no—
827D4×C59—82no—
828D4×C59—82no—
829D4×C59—82no—
830D4×C59—82no—
831D4×C59—82no—
832C2×C4×C59—21no—
833C2×C4×C59—21no—
834C2×C4×C59—21no—
835C2×C4×C59—21no—
836C2×C4×C59—21no—
837C2×C4×C59—21no—
838C2×C4×C59—21no—
839C2×C4×C59—21no—
840C2×C4×C59—21no—
841C2×C4×C59—21no—
842C2×C4×C59—21no—
843C2×C4×C59—21no—
844C2×C4×C59—21no—
845C2×C4×C59—21no—
846C2×C4×C59—21no—
847C2×C4×C59—21no—
848C2×C4×C59—21no—
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—44no—
857C2×C4×C59C22×D412yes—
858C2×C4×C59C22×D412yes—
859C2×C4×C59H(5,𝔽2)12yes—
860C22⋊D59—44no—
861C22⋊D59—44no—
862C22⋊D59—44no—
863C22⋊D59—44no—
864C22⋊D59—44no—
865C22⋊D59—44no—
866C22⋊D59—44no—
867C22⋊D59—44no—
868C22⋊D59—44no—
869C22⋊D59—44no—
870C22⋊D59—44no—
871C22⋊D59—44no—
872C22⋊D59—82no—
873C22⋊D59—82no—
874C22⋊D59—82no—
875C22⋊D59—82no—
876C22⋊D59—82no—
877C22⋊D59—82no—
878C22⋊D59—82no—
879C22⋊D59—82no—
880C22⋊D59—82no—
881C22⋊D59—82no—
882C2×Dic59—21no—
883C2×Dic59—21no—
884C2×Dic59—21no—
885C2×Dic59—21no—
886C2×Dic59—21no—
887C2×Dic59—21no—
888C2×Dic59—21no—
889C2×Dic59—21no—
890C2×Dic59—21no—
891C2×Dic59—21no—
892C2×Dic59—21no—
893C2×Dic59—21no—
894C2×Dic59—21no—
895C2×Dic59—21no—
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—44no—
913C2×Dic59—44no—
914C2×Dic59C22×D412yes—
915C2×Dic59C22×D412yes—
916C2×Dic59H(5,𝔽2)12yes—
917D236—44no—
918D236—44no—
919D236—44no—
920D236—44no—
921D236—82no—
922D236—82no—
923C4×D59—28no—
924C4×D59—44no—
925C4×D59—44no—
926C4×D59—44no—
927C4×D59—44no—
928C4×D59—44no—
929C4×D59—44no—
930#36717—591nomaximal, Sylow
931C22×C59—22no—
932C22×C59—22no—
933C22×C59—22no—
934C22×C59—22no—
935C22×C59—22no—
936C22×C59—22no—
937C22×C59—41no—
938C22×C59—41no—
939C22×C59—41no—
940C22×C59—41no—
941C22×C59—41no—
942C22×C59—41no—
943C22×C59—41no—
944C22×C59—41no—
945C22×C59—41no—
946C22×C59—41no—
947C22×C59—41no—
948C22×C59—41no—
949C22×C59—41no—
950C22×C59—41no—
951C22×C59—41no—
952C22×C59—41no—
953C22×C59—41no—
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×C59—88no—
974C22×C59C23×D411yescharacteristic
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
980C22×C59C2×H(5,𝔽2)11yescharacteristic
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—416no—
994C2×D59—41no—
995C2×D59—41no—
996C2×D59—41no—
997C2×D59—41no—
998C2×D59—41no—
999C2×D59—41no—
1000C2×D59—41no—
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—88no—
1017C2×D59—88no—
1018C2×D59—88no—
1019C2×D59#53514yes—
1020C4×C59—22no—
1021C4×C59—22no—
1022C4×C59—22no—
1023C4×C59—41no—
1024C4×C59—41no—
1025C4×C59—41no—
1026C4×C59—41no—
1027C4×C59—41no—
1028C4×C59—41no—
1029Dic59—22no—
1030Dic59—22no—
1031Dic59—22no—
1032Dic59—41no—
1033Dic59—41no—
1034Dic59—41no—
1035Dic59—41no—
1036Dic59—41no—
1037Dic59—41no—
1038Dic59—41no—
1039Dic59—41no—
1040C2×#534—591no—
1041C22×#121—591no—
1042#2847—591no—
1043#2847—591no—
1044#2703—591no—
1045#2703—591no—
1046#2703—591no—
1047#2703—591no—
1048#2703—591no—
1049#2703—591no—
1050#2703—591no—
1051#2703—591no—
1052#2669—591no—
1053#2669—591no—
1054#2669—591no—
1055#2669—591no—
1056#2669—591no—
1057#2669—591no—
1058#2669—591no—
1059#2669D5911yescharacteristic, complemented
1060#2617—591no—
1061#2617—591no—
1062#2591—591no—
1063#2591—591no—
1064#2433—591no—
1065#2433—591no—
1066#2403—591no—
1067#2403—591no—
1068#2403—591no—
1069#2403—591no—
1070#2312—591no—
1071C2×C59—42no—
1072C2×C59—42no—
1073C2×C59—81no—
1074C2×C59—81no—
1075C2×C59—81no—
1076C2×C59—81no—
1077C2×C59C2×#53511yescharacteristic
1078C2×C59#348411yescharacteristic
1079C2×C59#348411yescharacteristic
1080C2×C59#353711yescharacteristic
1081C2×C59#353711yescharacteristic
1082C2×C59#353711yescharacteristic
1083C2×C59#353711yescharacteristic
1084D59—24no—
1085D59—42no—
1086D59—42no—
1087D59—81no—
1088D59—81no—
1089C23×D4—591no—
1090C23×D4—591no—
1091C23×D4—591no—
1092C23×D4—591no—
1093C23×D4—591no—
1094C24×C4—591no—
1095#534—1188no—
1096C2×#127—591no—
1097C2×#127—591no—
1098C2×#127—591no—
1099C2×#127C2×D5911yescharacteristic, complemented
1100C2×#123—591no—
1101C2×#123—591no—
1102C2×#123—591no—
1103C2×#123—591no—
1104C2×#121—591no—
1105C2×#121—591no—
1106C2×#121—591no—
1107C2×#121—591no—
1108C2×#121—591no—
1109C2×#121—591no—
1110C2×#121—591no—
1111C2×#121—591no—
1112C2×#121—591no—
1113C2×#121—591no—
1114C2×#121—591no—
1115C2×#121—591no—
1116C2×#121—591no—
1117C2×#121—591no—
1118C2×#121—1188no—
1119C2×#121C2×D5911yescharacteristic, complemented
1120C2×#121C2×D5911yescharacteristic, complemented
1121C2×#120—591no—
1122C2×#120—591no—
1123C2×#120—591no—
1124C2×#120—591no—
1125C2×#120—591no—
1126C2×#120—591no—
1127C2×#120—591no—
1128C2×#120—591no—
1129C2×#120—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×#120C2×D5911yescharacteristic, complemented
1139C2×#120C2×D5911yescharacteristic, complemented
1140C2×#120C2×D5911yescharacteristic, complemented
1141C22×C4⋊C4—591no—
1142C22×C22⋊C4—591no—
1143C22×C22⋊C4—591no—
1144#400—591no—
1145#400—591no—
1146#400—591no—
1147#400—591no—
1148#397—591no—
1149#397—591no—
1150#397—591no—
1151#397—591no—
1152#394—591no—
1153#394—591no—
1154#394—591no—
1155#394—591no—
1156#394—591no—
1157#394—591no—
1158#394—591no—
1159#394—591no—
1160#394—591no—
1161#394—591no—
1162#394C2×D5911yescharacteristic, complemented
1163#394C2×D5911yescharacteristic, complemented
1164#392—591no—
1165#392—591no—
1166#392—591no—
1167#392—591no—
1168#392—591no—
1169#392—591no—
1170#392—591no—
1171#392—591no—
1172#392—591no—
1173#392—591no—
1174#392—591no—
1175#392—591no—
1176#392—591no—
1177#392—591no—
1178#392—591no—
1179#392—591no—
1180#392—591no—
1181#392—591no—
1182#392—591no—
1183#392—591no—
1184#392—591no—
1185#392—591no—
1186#392—591no—
1187#392—591no—
1188#392C2×D5911yescharacteristic, complemented
1189#392C2×D5911yescharacteristic, complemented
1190#392C2×D5911yescharacteristic, complemented
1191#392C2×D5911yescharacteristic, complemented
1192#390—591no—
1193#390—591no—
1194#390—591no—
1195#390—591no—
1196#388—591no—
1197#388—591no—
1198#388—591no—
1199#388—591no—
1200#388—591no—
1201#388—591no—
1202#388—591no—
1203#388—591no—
1204#388—591no—
1205#388—591no—
1206#388—591no—
1207#388—591no—
1208#388—591no—
1209#388—591no—
1210#388C2×D5911yescharacteristic, complemented
1211#388C2×D5911yescharacteristic, complemented
1212#386—591no—
1213#386—591no—
1214#386—591no—
1215#386—591no—
1216#386—591no—
1217#386—591no—
1218#386—591no—
1219#386—591no—
1220#386—591no—
1221#386—591no—
1222#386—591no—
1223#386—591no—
1224#386—591no—
1225#386—591no—
1226#386—591no—
1227#386—591no—
1228#386—591no—
1229#386—591no—
1230#386—591no—
1231#386—591no—
1232#386—591no—
1233#386—591no—
1234#386—591no—
1235#386C2×D5911yescharacteristic, complemented
1236#380—591no—
1237#380—591no—
1238#380—591no—
1239#380—591no—
1240#380—591no—
1241#380—591no—
1242#379—591no—
1243#379—591no—
1244C4×C22⋊C4—591no—
1245C4×C22⋊C4—591no—
1246C59#3671711yescharacteristic, complemented, Sylow
1247C25—591no—
1248C25—591no—
1249C25—591no—
1250C25—591no—
1251C25C22×D5911yescharacteristic
1252C22×D4—591no—
1253C22×D4—591no—
1254C22×D4—591no—
1255C22×D4—591no—
1256C22×D4—591no—
1257C22×D4—591no—
1258C22×D4—591no—
1259C22×D4—591no—
1260C22×D4—591no—
1261C22×D4—591no—
1262C22×D4—591no—
1263C22×D4—591no—
1264C22×D4—591no—
1265C22×D4—591no—
1266C22×D4—591no—
1267C22×D4—591no—
1268C22×D4—591no—
1269C22×D4—591no—
1270C22×D4—591no—
1271C22×D4—591no—
1272C22×D4—591no—
1273C22×D4—591no—
1274C22×D4—591no—
1275C22×D4—591no—
1276C22×D4—591no—
1277C22×D4—591no—
1278C22×D4—591no—
1279C22×D4—591no—
1280C22×D4—1184no—
1281C22×D4—1184no—
1282C22×D4—1184no—
1283C22×D4—1184no—
1284C22×D4—1184no—
1285C22×D4—2362no—
1286C22×D4—2362no—
1287C22×D4—2362no—
1288C22×D4—2362no—
1289C22×D4—2362no—
1290C22×D4—2362no—
1291C22×D4—2362no—
1292C22×D4—2362no—
1293C22×D4—2362no—
1294C22×D4—2362no—
1295C22×D4C22×D5911yescharacteristic
1296C22×D4C22×D5911yescharacteristic
1297C22×D4C22×D5911yescharacteristic
1298C22×D4C22×D5911yescharacteristic
1299C22×D4C22×D5911yescharacteristic
1300C22×D4C22×D5911yescharacteristic
1301C22×D4C22×D5911yescharacteristic
1302C22×D4C22×D5911yescharacteristic
1303C22×D4C22×D5911yescharacteristic
1304C22×D4C22×D5911yescharacteristic
1305C22×D4C22×D5911yescharacteristic
1306C22×D4C22×D5911yescharacteristic
1307C23×C4—591no—
1308C23×C4—591no—
1309C23×C4—591no—
1310C23×C4—591no—
1311C23×C4—591no—
1312C23×C4—591no—
1313C23×C4—591no—
1314C23×C4—591no—
1315C23×C4—591no—
1316C23×C4—1184no—
1317C23×C4—2362no—
1318C23×C4—2362no—
1319C23×C4C22×D5911yescharacteristic
1320#127—42no—
1321#127—2362no—
1322#127—2362no—
1323#127—2362no—
1324#123—1184no—
1325#123—1184no—
1326#123—1184no—
1327#123—1184no—
1328#121—24no—
1329#121—42no—
1330#121—1184no—
1331#121—1184no—
1332#121—1184no—
1333#121—1184no—
1334#121—1184no—
1335#121—1184no—
1336#121—1184no—
1337#121—1184no—
1338#121—1184no—
1339#121—1184no—
1340#121—1184no—
1341#121—2362no—
1342#121—2362no—
1343#121—2362no—
1344#120—24no—
1345#120—42no—
1346#120—42no—
1347#120—1184no—
1348#120—1184no—
1349#120—1184no—
1350#120—2362no—
1351#120—2362no—
1352#120—2362no—
1353#120—2362no—
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—
1364C2×C4⋊C4—591no—
1365C2×C4⋊C4—591no—
1366C2×C4⋊C4—591no—
1367C2×C4⋊C4—591no—
1368C2×C4⋊C4—591no—
1369C2×C4⋊C4—591no—
1370C2×C4⋊C4—591no—
1371C2×C4⋊C4—591no—
1372C2×C4⋊C4—591no—
1373C2×C4⋊C4—591no—
1374C2×C4⋊C4—1184no—
1375C2×C4⋊C4C22×D5911yescharacteristic
1376C2×C4⋊C4C22×D5911yescharacteristic
1377C2×C22⋊C4—591no—
1378C2×C22⋊C4—591no—
1379C2×C22⋊C4—591no—
1380C2×C22⋊C4—598no—
1381C2×C22⋊C4—591no—
1382C2×C22⋊C4—591no—
1383C2×C22⋊C4—591no—
1384C2×C22⋊C4—591no—
1385C2×C22⋊C4—591no—
1386C2×C22⋊C4—591no—
1387C2×C22⋊C4—591no—
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—1184no—
1425C2×C22⋊C4C22×D5911yescharacteristic
1426C2×C22⋊C4C22×D5911yescharacteristic
1427C2×C22⋊C4C22×D5911yescharacteristic
1428C2×C22⋊C4C22×D5911yescharacteristic
1429C2×C22⋊C4C22×D5911yescharacteristic
1430C2×C22⋊C4C22×D5911yescharacteristic
1431C2×C22⋊C4C22×D5911yescharacteristic
1432C2×C22⋊C4C22×D5911yescharacteristic
1433C2×C22⋊C4C22×D5911yescharacteristic
1434C2×C22⋊C4C22×D5911yescharacteristic
1435C2×C22⋊C4C22×D5911yescharacteristic
1436C2×C22⋊C4C22×D5911yescharacteristic
1437C2×C22⋊C4C22×D5911yescharacteristic
1438C2×C22⋊C4C22×D5911yescharacteristic
1439C2×C42—591no—
1440C2×C42—591no—
1441C2×C42—591no—
1442C2×C42C22×D5911yescharacteristic
1443#95—591no—
1444#95—591no—
1445#95—591no—
1446#95—591no—
1447#95—591no—
1448#95—591no—
1449#95—591no—
1450#95—591no—
1451#95—591no—
1452#95—591no—
1453#95—591no—
1454#95—591no—
1455#95—591no—
1456#95—591no—
1457#95—591no—
1458#95—591no—
1459#95—591no—
1460#95—591no—
1461#95—591no—
1462#95—591no—
1463#95C22×D5911yescharacteristic
1464#95C22×D5911yescharacteristic
1465#95C22×D5911yescharacteristic
1466#95C22×D5911yescharacteristic
1467C24—22no—
1468C24—41no—
1469C24—41no—
1470C24—41no—
1471C24—41no—
1472C24—41no—
1473C24—41no—
1474C24—591no—
1475C24—591no—
1476C24—591no—
1477C24—594no—
1478C24—591no—
1479C24—591no—
1480C24—1182no—
1481C24—1182no—
1482C24—1182no—
1483C24—1182no—
1484C24—1182no—
1485C24—1182no—
1486C24—1182no—
1487C24—1182no—
1488C24—1182no—
1489C24—1182no—
1490C24—1182no—
1491C24—2361no—
1492C24—2361no—
1493C24—2361no—
1494C24—2361no—
1495C24—2361no—
1496C24—2361no—
1497C24—2361no—
1498C24—2361no—
1499C24—2361no—
1500C24—2361no—
1501C24—2361no—
1502C24—2361no—
1503C24—2361no—
1504C24—2361no—
1505C24—2361no—
1506C24—2361no—
1507C24C23×D5911yescharacteristic
1508C24C23×D5911yescharacteristic
1509C24C23×D5911yescharacteristic
1510C24C23×D5911yescharacteristic
1511C24C23×D5911yescharacteristic
1512C24C23×D5911yescharacteristic
1513C2×D4—22no—
1514C2×D4—22no—
1515C2×D4—22no—
1516C2×D4—22no—
1517C2×D4—22no—
1518C2×D4—22no—
1519C2×D4—22no—
1520C2×D4—22no—
1521C2×D4—22no—
1522C2×D4—22no—
1523C2×D4—22no—
1524C2×D4—22no—
1525C2×D4—41no—
1526C2×D4—41no—
1527C2×D4—41no—
1528C2×D4—41no—
1529C2×D4—41no—
1530C2×D4—41no—
1531C2×D4—41no—
1532C2×D4—41no—
1533C2×D4—41no—
1534C2×D4—41no—
1535C2×D4—41no—
1536C2×D4—41no—
1537C2×D4—41no—
1538C2×D4—41no—
1539C2×D4—41no—
1540C2×D4—41no—
1541C2×D4—41no—
1542C2×D4—41no—
1543C2×D4—41no—
1544C2×D4—41no—
1545C2×D4—41no—
1546C2×D4—41no—
1547C2×D4—41no—
1548C2×D4—41no—
1549C2×D4—1182no—
1550C2×D4—1182no—
1551C2×D4—1182no—
1552C2×D4—1182no—
1553C2×D4—1182no—
1554C2×D4—1182no—
1555C2×D4—1182no—
1556C2×D4—1182no—
1557C2×D4—1182no—
1558C2×D4—1182no—
1559C2×D4—1182no—
1560C2×D4—1182no—
1561C2×D4—1182no—
1562C2×D4—1182no—
1563C2×D4—1182no—
1564C2×D4—1182no—
1565C2×D4—1182no—
1566C2×D4—1182no—
1567C2×D4—1182no—
1568C2×D4—1182no—
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—2361no—
1590C2×D4—2361no—
1591C2×D4—2361no—
1592C2×D4—2361no—
1593C2×D4—2361no—
1594C2×D4—2361no—
1595C2×D4—2361no—
1596C2×D4—2361no—
1597C2×D4—23616no—
1598C2×D4—2361no—
1599C2×D4—2361no—
1600C2×D4—2361no—
1601C2×D4—2361no—
1602C2×D4—2361no—
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—23616no—
1635C2×D4—23616no—
1636C2×D4—23616no—
1637C2×D4—23616no—
1638C22×C4—22no—
1639C22×C4—22no—
1640C22×C4—41no—
1641C22×C4—591no—
1642C22×C4—591no—
1643C22×C4—591no—
1644C22×C4—594no—
1645C22×C4—594no—
1646C22×C4—591no—
1647C22×C4—591no—
1648C22×C4—591no—
1649C22×C4—591no—
1650C22×C4—591no—
1651C22×C4—591no—
1652C22×C4—591no—
1653C22×C4—591no—
1654C22×C4—1182no—
1655C22×C4—1182no—
1656C22×C4—1182no—
1657C22×C4—1182no—
1658C22×C4—1182no—
1659C22×C4—1182no—
1660C22×C4—1182no—
1661C22×C4—1182no—
1662C22×C4—1182no—
1663C22×C4—1182no—
1664C22×C4—1182no—
1665C22×C4—1182no—
1666C22×C4—2361no—
1667C22×C4—2361no—
1668C22×C4—2361no—
1669C22×C4—2361no—
1670C22×C4—2361no—
1671C22×C4—2361no—
1672C22×C4—2361no—
1673C22×C4—2361no—
1674C22×C4—2361no—
1675C22×C4—2361no—
1676C22×C4—23616no—
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
1689C4⋊C4—22no—
1690C4⋊C4—41no—
1691C4⋊C4—1182no—
1692C4⋊C4—1182no—
1693C4⋊C4—1182no—
1694C4⋊C4—1182no—
1695C4⋊C4—1182no—
1696C4⋊C4—1182no—
1697C4⋊C4—1182no—
1698C4⋊C4—2361no—
1699C4⋊C4—2361no—
1700C4⋊C4—2361no—
1701C22⋊C4—22no—
1702C22⋊C4—22no—
1703C22⋊C4—22no—
1704C22⋊C4—22no—
1705C22⋊C4—22no—
1706C22⋊C4—22no—
1707C22⋊C4—41no—
1708C22⋊C4—41no—
1709C22⋊C4—41no—
1710C22⋊C4—41no—
1711C22⋊C4—41no—
1712C22⋊C4—41no—
1713C22⋊C4—41no—
1714C22⋊C4—594no—
1715C22⋊C4—594no—
1716C22⋊C4—594no—
1717C22⋊C4—1182no—
1718C22⋊C4—1182no—
1719C22⋊C4—1182no—
1720C22⋊C4—1182no—
1721C22⋊C4—1182no—
1722C22⋊C4—1182no—
1723C22⋊C4—1182no—
1724C22⋊C4—1182no—
1725C22⋊C4—1182no—
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—2361no—
1736C22⋊C4—2361no—
1737C22⋊C4—2361no—
1738C22⋊C4—2361no—
1739C22⋊C4—2361no—
1740C22⋊C4—2361no—
1741C22⋊C4—2361no—
1742C22⋊C4—2361no—
1743C22⋊C4—2361no—
1744C22⋊C4—2361no—
1745C22⋊C4—2361no—
1746C22⋊C4—2361no—
1747C22⋊C4—2361no—
1748C22⋊C4—2361no—
1749C22⋊C4—2361no—
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⋊C4D4×D5914yes—
1761C42—41no—
1762C42—2361no—
1763C42—2361no—
1764C42—2361no—
1765C23—21no—
1766C23—21no—
1767C23—21no—
1768C23—21no—
1769C23—21no—
1770C23—21no—
1771C23—21no—
1772C23—21no—
1773C23—21no—
1774C23—21no—
1775C23—21no—
1776C23—21no—
1777C23—21no—
1778C23—21no—
1779C23—21no—
1780C23—21no—
1781C23—21no—
1782C23—21no—
1783C23—21no—
1784C23—21no—
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—44no—
1806C23—82no—
1807C23—82no—
1808C23—82no—
1809C23—82no—
1810C23—82no—
1811C23—82no—
1812C23—592no—
1813C23—592no—
1814C23—592no—
1815C23—592no—
1816C23—592no—
1817C23—1188no—
1818C23—1188no—
1819C23—1181no—
1820C23—1181no—
1821C23—1181no—
1822C23—1181no—
1823C23—1181no—
1824C23—1181no—
1825C23—1181no—
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—4722no—
1850C23—4722no—
1851C23—4722no—
1852C23—4722no—
1853C23—4722no—
1854C23—4722no—
1855C23—4722no—
1856C23—4722no—
1857C23—4722no—
1858C23—4722no—
1859C23—4722no—
1860C23—4722no—
1861C23—4722no—
1862C23—4722no—
1863C23—2364no—
1864C23—2364no—
1865C23—2364no—
1866C23—2364no—
1867C23—2364no—
1868C23—2364no—
1869C23—2364no—
1870C23—2364no—
1871C23—2364no—
1872C23—2364no—
1873C23—2364no—
1874C23—2364no—
1875C23C2×D4×D5912yes—
1876C23#1427377212yes—
1877C23C24×D5911yescharacteristic
1878D4—44no—
1879D4—44no—
1880D4—44no—
1881D4—44no—
1882D4—82no—
1883D4—82no—
1884D4—82no—
1885D4—82no—
1886D4—82no—
1887D4—82no—
1888D4—82no—
1889D4—82no—
1890D4—4722no—
1891D4—4722no—
1892D4—4722no—
1893D4—4722no—
1894D4—4722no—
1895D4—4722no—
1896D4—4722no—
1897D4—4722no—
1898D4—4722no—
1899D4—4722no—
1900D4—4722no—
1901D4—4722no—
1902D4—2364no—
1903D4—2364no—
1904D4—2364no—
1905D4—2364no—
1906D4—2364no—
1907D4—2364no—
1908D4—2364no—
1909D4—2364no—
1910D4—2364no—
1911D4—2364no—
1912D4—2364no—
1913D4—2364no—
1914D4—2364no—
1915D4—2364no—
1916D4—2364no—
1917D4—2364no—
1918C2×C4—21no—
1919C2×C4—21no—
1920C2×C4—21no—
1921C2×C4—21no—
1922C2×C4—21no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—21no—
1926C2×C4—21no—
1927C2×C4—21no—
1928C2×C4—21no—
1929C2×C4—21no—
1930C2×C4—21no—
1931C2×C4—21no—
1932C2×C4—21no—
1933C2×C4—21no—
1934C2×C4—21no—
1935C2×C4—21no—
1936C2×C4—21no—
1937C2×C4—21no—
1938C2×C4—21no—
1939C2×C4—21no—
1940C2×C4—21no—
1941C2×C4—21no—
1942C2×C4—44no—
1943C2×C4—592no—
1944C2×C4—592no—
1945C2×C4—592no—
1946C2×C4—1188no—
1947C2×C4—1181no—
1948C2×C4—1181no—
1949C2×C4—1181no—
1950C2×C4—1181no—
1951C2×C4—1181no—
1952C2×C4—1181no—
1953C2×C4—1181no—
1954C2×C4—1181no—
1955C2×C4—1181no—
1956C2×C4—1181no—
1957C2×C4—1181no—
1958C2×C4—1181no—
1959C2×C4—1181no—
1960C2×C4—1181no—
1961C2×C4—1181no—
1962C2×C4—1181no—
1963C2×C4—1181no—
1964C2×C4—1181no—
1965C2×C4—1181no—
1966C2×C4—1181no—
1967C2×C4—1181no—
1968C2×C4—1181no—
1969C2×C4—1181no—
1970C2×C4—1181no—
1971C2×C4—1181no—
1972C2×C4—1181no—
1973C2×C4—1181no—
1974C2×C4—1181no—
1975C2×C4—1181no—
1976C2×C4—1181no—
1977C2×C4—2364no—
1978C2×C4—2364no—
1979C2×C4—2364no—
1980C2×C4—2364no—
1981C2×C4—2364no—
1982C2×C4—2364no—
1983C2×C4—2364no—
1984C2×C4—2364no—
1985C2×C4C2×D4×D5912yes—
1986C2×C4C2×D4×D5912yes—
1987C2×C4#1427377212yes—
1988C22—22no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—22no—
1994C22—41no—
1995C22—41no—
1996C22—41no—
1997C22—41no—
1998C22—41no—
1999C22—41no—
2000C22—41no—
2001C22—41no—
2002C22—41no—
2003C22—41no—
2004C22—41no—
2005C22—41no—
2006C22—41no—
2007C22—41no—
2008C22—41no—
2009C22—41no—
2010C22—41no—
2011C22—41no—
2012C22—41no—
2013C22—41no—
2014C22—41no—
2015C22—41no—
2016C22—41no—
2017C22—41no—
2018C22—41no—
2019C22—41no—
2020C22—41no—
2021C22—41no—
2022C22—41no—
2023C22—41no—
2024C22—41no—
2025C22—41no—
2026C22—41no—
2027C22—41no—
2028C22—41no—
2029C22—41no—
2030C22—88no—
2031C22—594no—
2032C22—1182no—
2033C22—1182no—
2034C22—1182no—
2035C22—1182no—
2036C22—1182no—
2037C22—1182no—
2038C22—1182no—
2039C22—1182no—
2040C22—1182no—
2041C22—1182no—
2042C22—1182no—
2043C22—1182no—
2044C22—4728no—
2045C22—4728no—
2046C22—4728no—
2047C22—23616no—
2048C22—2361no—
2049C22—2361no—
2050C22—2361no—
2051C22—2361no—
2052C22—2361no—
2053C22—2361no—
2054C22—2361no—
2055C22—2361no—
2056C22—2361no—
2057C22—2361no—
2058C22—2361no—
2059C22—2361no—
2060C22—2361no—
2061C22—2361no—
2062C22—2361no—
2063C22—2361no—
2064C22—2361no—
2065C22—2361no—
2066C22—2361no—
2067C22—2361no—
2068C22—2361no—
2069C22—2361no—
2070C22C22×D4×D5911yescharacteristic
2071C22H(5,𝔽2)×D5911yescharacteristic
2072C22H(5,𝔽2)×D5911yescharacteristic
2073C22H(5,𝔽2)×D5911yescharacteristic
2074C22H(5,𝔽2)×D5911yescharacteristic
2075C22C2×#1427377211yescharacteristic
2076C22C2×#1427377211yescharacteristic
2077C4—22no—
2078C4—22no—
2079C4—22no—
2080C4—41no—
2081C4—41no—
2082C4—41no—
2083C4—41no—
2084C4—41no—
2085C4—41no—
2086C4—1182no—
2087C4—1182no—
2088C4—1182no—
2089C4—2361no—
2090C4—2361no—
2091C4—2361no—
2092C4—2361no—
2093C4—2361no—
2094C4—2361no—
2095C4—2361no—
2096C4—2361no—
2097C2—42no—
2098C2—42no—
2099C2—81no—
2100C2—81no—
2101C2—81no—
2102C2—81no—
2103C2—1184no—
2104C2—4721no—
2105C2—4721no—
2106C2—2362no—
2107C2—2362no—
2108C2#535×D5911yescharacteristic
2109C2#2143772411yescharacteristic
2110C2#2143772411yescharacteristic
2111C2#2143832711yescharacteristic
2112C2#2143832911yescharacteristic
2113C2#2143833011yescharacteristic
2114C2#2143833311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2669C2
hypercenter#2669D59
hypocenterC59#36717
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2669

Complements

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

NH ≅ G/Ntype
1. C2×#16837962C2semidirect
2. C2×#121×D59C2semidirect
3. #21432377C2semidirect
4. #21432375C2semidirect
5. #21430746C2semidirect
6. #21430745C2semidirect
7. #21430744C2semidirect
8. #21430743C2semidirect
9. #21430737C2semidirect
10. #21430735C2semidirect
11. #21430734C2semidirect
12. #21430732C2semidirect
13. #21430315C2semidirect
14. #21430313C2semidirect
15. #21430312C2semidirect
16. #21430310C2semidirect
17. #21430310C2semidirect
18. #21430309C2semidirect
19. #21430308C2semidirect
20. #21429835C2semidirect
21. #21429829C2semidirect
22. #21429574C2semidirect
23. #21429570C2semidirect
24. #21427730C2semidirect
25. #21427728C2semidirect
26. #21427407C2semidirect
27. #21427407C2semidirect
28. #21427405C2semidirect
29. #21427405C2semidirect
30. #21426690C2semidirect
31. C59×#2669C2semidirect
36. C22×D4×D59C22semidirect
37. C23×C4×D59C22semidirect
39. C2×#14273723C22semidirect
40. C2×#14273723C22semidirect
41. C2×#14273723C22semidirect
42. C2×#14273711C22semidirect
43. C2×#14273709C22semidirect
44. C2×#14273709C22semidirect
45. C2×#14273708C22semidirect
46. C2×#14273702C22semidirect
47. C2×#14273701C22semidirect
50. C2×#14273700C22semidirect
51. C2×#14273700C22semidirect
52. C2×#14273700C22semidirect
53. C2×#14273699C22semidirect
54. C2×#14273699C22semidirect
55. C2×#14273699C22semidirect
58. C2×#14273698C22semidirect
59. C2×#14273698C22semidirect
61. C2×#14273697C22semidirect
62. C2×#14273697C22semidirect
63. C2×#14273697C22semidirect
64. C2×#14273697C22semidirect
65. C2×#14273696C22semidirect
66. C2×#14273696C22semidirect
67. C2×#14273696C22semidirect
68. C2×#14273695C22semidirect
69. C2×#14273695C22semidirect
70. C2×#14273695C22semidirect
71. C2×#14273695C22semidirect
72. C2×#14273695C22semidirect
73. C2×#14273695C22semidirect
74. C2×#14273695C22semidirect
75. C2×#14273695C22semidirect
76. C2×#14273695C22semidirect
77. C2×#14273695C22semidirect
78. C2×C4⋊C4×D59C22semidirect
80. C2×C22⋊C4×D59C22semidirect
81. #16837344C22semidirect
82. #16837343C22semidirect
83. #16837342C22semidirect
84. #16837341C22semidirect
85. #16837331C22semidirect
86. #16837330C22semidirect
87. #16837329C22semidirect
88. #16837327C22semidirect
89. #16837319C22semidirect
90. #16837318C22semidirect
91. #16837318C22semidirect
92. #16837318C22semidirect
93. #16837317C22semidirect
94. #16837317C22semidirect
95. #16837317C22semidirect
96. #16837316C22semidirect
97. #16837316C22semidirect
98. #16837316C22semidirect
99. #16837312C22semidirect
100. #16837311C22semidirect
101. #16837311C22semidirect
102. #16837311C22semidirect
103. #16837311C22semidirect
104. #16837311C22semidirect
105. #16837311C22semidirect
106. #16837311C22semidirect
107. #16837311C22semidirect
108. #16837310C22semidirect
109. #16837310C22semidirect
110. #16837310C22semidirect
111. #16837310C22semidirect
112. #16837310C22semidirect
113. #16837310C22semidirect
114. #16837310C22semidirect
115. #16837310C22semidirect
116. #16837310C22semidirect
117. #16837310C22semidirect
118. #16837310C22semidirect
119. #16837310C22semidirect
120. #16837310C22semidirect
121. #16837310C22semidirect
122. #16837310C22semidirect
123. #16837305C22semidirect
124. #16837304C22semidirect
125. #16837302C22semidirect
126. #16837302C22semidirect
127. #16837296C22semidirect
128. #16837296C22semidirect
129. #16837295C22semidirect
130. #16837295C22semidirect
131. #16837295C22semidirect
132. #16837294C22semidirect
133. #16837293C22semidirect
134. #16837293C22semidirect
135. #16837292C22semidirect
136. #16837292C22semidirect
137. #16837291C22semidirect
138. #16837290C22semidirect
139. #16837290C22semidirect
140. #16837290C22semidirect
141. #16837282C22semidirect
142. #16837282C22semidirect
143. #16837282C22semidirect
144. #16837282C22semidirect
145. #16837281C22semidirect
146. #16837280C22semidirect
147. #16837280C22semidirect
148. #16837280C22semidirect
149. #16837280C22semidirect
150. #16837280C22semidirect
151. #16837279C22semidirect
152. #16837279C22semidirect
153. #16837278C22semidirect
154. #16837278C22semidirect
155. #16837278C22semidirect
156. #16837278C22semidirect
157. #16837278C22semidirect
158. #16837278C22semidirect
159. #16837278C22semidirect
160. #16837278C22semidirect
161. #16837278C22semidirect
162. #16837278C22semidirect
163. #16837278C22semidirect
164. #16837262C22semidirect
165. #16837261C22semidirect
166. #16837261C22semidirect
167. #16837260C22semidirect
168. #16837259C22semidirect
169. #16837259C22semidirect
172. C4×(C2×D59)⋊C4C22semidirect
173. #16837249C22semidirect
174. C2×#127×C59C22semidirect
175. C2×#121×C59C22semidirect
176. C2×#121×C59C22semidirect
177. C2×#120×C59C22semidirect
178. C2×#120×C59C22semidirect
179. C2×#120×C59C22semidirect
180. C59×#394C22semidirect
181. C59×#394C22semidirect
182. C59×#392C22semidirect
183. C59×#392C22semidirect
184. C59×#392C22semidirect
185. C59×#392C22semidirect
186. C59×#388C22semidirect
187. C59×#388C22semidirect
188. C59×#386C22semidirect
344. C22⋊C4×D59D4semidirect
1059. #2669D59semidirect
1099. C2×#127C2×D59semidirect
1119. C2×#121C2×D59semidirect
1120. C2×#121C2×D59semidirect
1138. C2×#120C2×D59semidirect
1139. C2×#120C2×D59semidirect
1140. C2×#120C2×D59semidirect
1162. #394C2×D59semidirect
1163. #394C2×D59semidirect
1188. #392C2×D59semidirect
1189. #392C2×D59semidirect
1190. #392C2×D59semidirect
1191. #392C2×D59semidirect
1210. #388C2×D59semidirect
1211. #388C2×D59semidirect
1235. #386C2×D59semidirect
1246. C59#36717semidirect

Maximal subgroups

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

subgroupindex
C2×#168379622
C2×#121×D592
#214323772
#214323752
#214307462
#214307452
#214307442
#214307432
#214307372
#214307352
#214307342
#214307322
#214303152
#214303132
#214303122
#214303102
#214303092
#214303082
#214298352
#214298292
#214295742
#214295702
#214277302
#214277282
#214274072
#214274052
#214266902
C59×#26692
#3671759