Finite Group Databasebeta

← #28795478

Subgroups — #28795478

Order 15104.

3038 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837988C211yesmaximal, characteristic, complemented
2C2×#121×D59C211yesmaximal, characteristic, complemented
3#21432384C211yesmaximal, characteristic, complemented
4#21432377C211yesmaximal, characteristic, complemented
5#21430584C211yesmaximal, characteristic, complemented
6#21430582C211yesmaximal, characteristic, complemented
7#21430572C211yesmaximal, characteristic, complemented
8#21430570C211yesmaximal, characteristic, complemented
9#21430404C211yesmaximal, characteristic, complemented
10#21430401C211yesmaximal, characteristic, complemented
11#21430400C211yesmaximal, characteristic, complemented
12#21430397C211yesmaximal, characteristic, complemented
13#21430388C211yesmaximal, characteristic, complemented
14#21430387C211yesmaximal, characteristic, complemented
15#21430386C211yesmaximal, characteristic, complemented
16#21430386C211yesmaximal, characteristic, complemented
17#21430337C211yesmaximal, characteristic, complemented
18#21430332C211yesmaximal, characteristic, complemented
19#21430329C211yesmaximal, characteristic, complemented
20#21429902C211yesmaximal, characteristic, complemented
21#21429835C211yesmaximal, characteristic, complemented
22#21429444C211yesmaximal, characteristic, complemented
23#21429441C211yesmaximal, characteristic, complemented
24#21427469C211yesmaximal, characteristic, complemented
25#21427467C211yesmaximal, characteristic, complemented
26#21427465C211yesmaximal, characteristic, complemented
27#21427463C211yesmaximal, characteristic, complemented
28#21427448C211yesmaximal, characteristic, complemented
29#21427447C211yesmaximal, characteristic, complemented
30#21426707C211yesmaximal, characteristic, complemented
31C59×#2671C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C22×D4×D59C2211yescharacteristic
35C23×C4×D59C2211yescharacteristic
36#16837988—28no—
37C2×#14273722C2211yescharacteristic, complemented
38C2×#14273720C2211yescharacteristic, complemented
39C2×#14273713C2211yescharacteristic, complemented
40C2×#14273713C2211yescharacteristic, complemented
41C2×#14273712C2211yescharacteristic, complemented
42C2×#14273707C2211yescharacteristic
43C2×#14273707C2211yescharacteristic, complemented
44C2×#14273706C2211yescharacteristic, complemented
45C2×#14273702C2211yescharacteristic
46C2×#14273702C2211yescharacteristic, complemented
47C2×#14273701C2211yescharacteristic
48C2×#14273701C2211yescharacteristic, complemented
49C2×#14273701C2211yescharacteristic, complemented
50C2×#14273701C2211yescharacteristic, complemented
51C2×#14273700C2211yescharacteristic
52C2×#14273700C2211yescharacteristic
53C2×#14273700C2211yescharacteristic
54C2×#14273700C2211yescharacteristic, complemented
55C2×#14273700C2211yescharacteristic, complemented
56C2×#14273700C2211yescharacteristic, complemented
57C2×#14273700C2211yescharacteristic, complemented
58C2×#14273700C2211yescharacteristic, complemented
59C2×#14273699C2211yescharacteristic
60C2×#14273699C2211yescharacteristic
61C2×#14273699C2211yescharacteristic, complemented
62C2×#14273699C2211yescharacteristic, complemented
63C2×#14273699C2211yescharacteristic, complemented
64C2×#14273698C2211yescharacteristic
65C2×#14273698C2211yescharacteristic, complemented
66C2×#14273698C2211yescharacteristic, complemented
67#121×D59—28no—
68C2×#14273697C2211yescharacteristic
69C2×#14273697C2211yescharacteristic
70C2×#14273697C2211yescharacteristic
71C2×#14273695C2211yescharacteristic
72C2×#14273695C2211yescharacteristic
73C2×#14273695C2211yescharacteristic
74C2×#14273689C2211yescharacteristic
75C2×C4×C22⋊D59C2211yescharacteristic
76C2×C4⋊C4×D59C2211yescharacteristic
77C22×(C2×D59)⋊C4C2211yescharacteristic
78C2×C22⋊C4×D59C2211yescharacteristic
79C2×C22⋊C4×D59C2211yescharacteristic
80C2×C22⋊C4×D59C2211yescharacteristic
81#16837337C2211yescharacteristic, complemented
82#16837336C2211yescharacteristic, complemented
83#16837335C2211yescharacteristic, complemented
84#16837333C2211yescharacteristic, complemented
85#16837331C2211yescharacteristic, complemented
86#16837330C2211yescharacteristic, complemented
87#16837325C2211yescharacteristic, complemented
88#16837325C2211yescharacteristic, complemented
89#16837325C2211yescharacteristic, complemented
90#16837325C2211yescharacteristic, complemented
91#16837324C2211yescharacteristic, complemented
92#16837324C2211yescharacteristic, complemented
93#16837324C2211yescharacteristic, complemented
94#16837324C2211yescharacteristic, complemented
95#16837320C2211yescharacteristic, complemented
96#16837319C2211yescharacteristic, complemented
97#16837319C2211yescharacteristic, complemented
98#16837319C2211yescharacteristic, complemented
99#16837318C2211yescharacteristic, complemented
100#16837318C2211yescharacteristic, complemented
101#16837318C2211yescharacteristic, complemented
102#16837318C2211yescharacteristic, complemented
103#16837317C2211yescharacteristic, complemented
104#16837317C2211yescharacteristic, complemented
105#16837317C2211yescharacteristic, complemented
106#16837317C2211yescharacteristic, complemented
107#16837316C2211yescharacteristic, complemented
108#16837315C2211yescharacteristic, complemented
109#16837314C2211yescharacteristic, complemented
110#16837312C2211yescharacteristic, complemented
111#16837312C2211yescharacteristic, complemented
112#16837311C2211yescharacteristic, complemented
113#16837311C2211yescharacteristic, complemented
114#16837311C2211yescharacteristic, complemented
115#16837311C2211yescharacteristic, 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#16837303C2211yescharacteristic, complemented
125#16837302C2211yescharacteristic, complemented
126#16837302C2211yescharacteristic, complemented
127#16837289C2211yescharacteristic, complemented
128#16837287C2211yescharacteristic, complemented
129#16837285C2211yescharacteristic, complemented
130#16837283C2211yescharacteristic, complemented
131#16837282C2211yescharacteristic, complemented
132#16837281C2211yescharacteristic, complemented
133#16837281C2211yescharacteristic, complemented
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic
136#16837280C2211yescharacteristic, complemented
137#16837280C2211yescharacteristic, complemented
138#16837280C2211yescharacteristic, complemented
139#16837279C2211yescharacteristic, complemented
140#16837278C2211yescharacteristic
141#16837278C2211yescharacteristic
142#16837278C2211yescharacteristic, complemented
143#16837278C2211yescharacteristic, complemented
144#16837278C2211yescharacteristic, complemented
145#16837277C2211yescharacteristic, complemented
146#16837277C2211yescharacteristic, complemented
147#16837277C2211yescharacteristic, complemented
148#16837276C2211yescharacteristic
149#16837276C2211yescharacteristic
150#16837276C2211yescharacteristic, complemented
151#16837276C2211yescharacteristic, complemented
152#16837276C2211yescharacteristic, complemented
153#16837276C2211yescharacteristic, complemented
154#16837276C2211yescharacteristic, complemented
155#16837275C2211yescharacteristic, complemented
156#16837275C2211yescharacteristic, complemented
157#16837274C2211yescharacteristic, complemented
158#16837273C2211yescharacteristic
159#16837273C2211yescharacteristic
160#16837273C2211yescharacteristic, complemented
161#16837273C2211yescharacteristic, complemented
162#16837273C2211yescharacteristic, complemented
163#16837261C2211yescharacteristic
164#16837261C2211yescharacteristic
165#16837261C2211yescharacteristic, complemented
166#16837260C2211yescharacteristic, complemented
167#16837259C2211yescharacteristic
168#16837259C2211yescharacteristic
169#16837259C2211yescharacteristic, complemented
170#16837257C2211yescharacteristic
171#16837257C2211yescharacteristic
172#16837257C2211yescharacteristic
173#16837257C2211yescharacteristic
174C2×#123×C59C2211yescharacteristic, complemented
175C2×#121×C59C2211yescharacteristic
176C2×#121×C59C2211yescharacteristic, complemented
177C2×#121×C59C2211yescharacteristic, complemented
178C59×#399C2211yescharacteristic, complemented
179C59×#398C2211yescharacteristic, complemented
180C59×#394C2211yescharacteristic, complemented
181C59×#394C2211yescharacteristic, complemented
182C59×#394C2211yescharacteristic, complemented
183C59×#392C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic, complemented
187C59×#385C2211yescharacteristic, complemented
188C59×#380C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C24×D59C2311yescharacteristic
192C22×Dic118C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
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
214C2×D4×D59—24no—
215C2×D4×D59—24no—
216C2×D4×D59—24no—
217C2×D4×D59—42no—
218C2×D4×D59—42no—
219C2×D4×D59—42no—
220C2×D4×D59—42no—
221C2×D4×D59—42no—
222C2×D4×D59—42no—
223C23×Dic59C2311yescharacteristic
224C23×Dic59C2311yescharacteristic
225C22×C4×D59—24no—
226C22×C4×D59—42no—
227C22×C4×D59—42no—
228C22×C4×D59C2311yescharacteristic
229C22×C4×D59C2311yescharacteristic
230C22×C4×D59C2311yescharacteristic
231C22×C4×D59C2311yescharacteristic
232C22×C4×D59C2311yescharacteristic
233C22×C4×D59C2311yescharacteristic
234C22×C4×D59C2311yescharacteristic
235C22×C4×D59C2311yescharacteristic
236C22×C4×D59C2311yescharacteristic
237#14273722—24no—
238#14273720—24no—
239#14273713—24no—
240#14273713—24no—
241#14273712—24no—
242#14273707—24no—
243#14273707—42no—
244#14273706—42no—
245#14273702—24no—
246#14273702—42no—
247#14273701—24no—
248#14273701—24no—
249#14273701—42no—
250#14273701—42no—
251#14273700—24no—
252#14273700—24no—
253#14273700—24no—
254#14273700—42no—
255#14273700—42no—
256#14273700—42no—
257#14273700—42no—
258#14273700—42no—
259#14273699—24no—
260#14273699—24no—
261#14273699—42no—
262#14273699—42no—
263#14273699—42no—
264#14273698—24no—
265#14273698—24no—
266#14273698—42no—
267#14273697—24no—
268#14273697—42no—
269#14273697—42no—
270#14273695—24no—
271#14273695—42no—
272#14273695—42no—
273#14273689—24no—
274C4×C22⋊D59—24no—
275C2×C4⋊Dic59C2311yescharacteristic
276C2×C4⋊Dic59C2311yescharacteristic
277C2×C4⋊Dic59C2311yescharacteristic
278C2×C4⋊Dic59C2311yescharacteristic
279C2×C4⋊Dic59C2311yescharacteristic
280C2×C4⋊Dic59C2311yescharacteristic
281C2×C4⋊Dic59C2311yescharacteristic
282C2×Dic59⋊C4C2311yescharacteristic
283C2×Dic59⋊C4C2311yescharacteristic
284C2×Dic59⋊C4C2311yescharacteristic
285C2×Dic59⋊C4C2311yescharacteristic
286C2×Dic59⋊C4C2311yescharacteristic
287C2×Dic59⋊C4C2311yescharacteristic
288C2×Dic59⋊C4C2311yescharacteristic
289C2×Dic59⋊C4C2311yescharacteristic
290C2×Dic59⋊C4C2311yescharacteristic
291C2×Dic59⋊C4C2311yescharacteristic
292C2×Dic59⋊C4C2311yescharacteristic
293C2×Dic59⋊C4C2311yescharacteristic
294C4⋊C4×D59—24no—
295C2×C22⋊Dic59C2311yescharacteristic
296C2×C22⋊Dic59C2311yescharacteristic
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×(C2×D59)⋊C4—42no—
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
340C2×(C2×D59)⋊C4C2311yescharacteristic
341C22⋊C4×D59—24no—
342C22⋊C4×D59—42no—
343C22⋊C4×D59D418yescomplemented
344C2×C4×Dic59C2311yescharacteristic
345C2×C4×Dic59C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
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
364C22×D4×C59C2311yescharacteristic
365C22×D4×C59C2311yescharacteristic
366C22×D4×C59C2311yescharacteristic
367C22×D4×C59C2311yescharacteristic
368C22×D4×C59C2311yescharacteristic
369C22×D4×C59C2311yescharacteristic
370C23×C4×C59C2311yescharacteristic
371C23×C4×C59C2311yescharacteristic
372C23×C4×C59C2311yescharacteristic
373#123×C59—24no—
374#121×C59—24no—
375#121×C59—42no—
376#121×C59—42no—
377C2×C4⋊C4×C59C2311yescharacteristic
378C2×C4⋊C4×C59C2311yescharacteristic
379C2×C4⋊C4×C59C2311yescharacteristic
380C2×C4⋊C4×C59C2311yescharacteristic
381C2×C4⋊C4×C59C2311yescharacteristic
382C2×C4⋊C4×C59C2311yescharacteristic
383C2×C4⋊C4×C59C2311yescharacteristic
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
397#95×C59C2311yescharacteristic
398#95×C59C2311yescharacteristic
399#95×C59C2311yescharacteristic
400#95×C59C2311yescharacteristic
401#95×C59C2311yescharacteristic
402#95×C59C2311yescharacteristic
403C24×C59C2411yescharacteristic
404C24×C59C2411yescharacteristic
405C24×C59C2411yescharacteristic
406C24×C59C2411yescharacteristic
407C23×D59—22no—
408C23×D59—22no—
409C23×D59—22no—
410C23×D59—22no—
411C23×D59—22no—
412C23×D59—22no—
413C23×D59—22no—
414C23×D59—22no—
415C23×D59—22no—
416C23×D59—22no—
417C23×D59—41no—
418C23×D59—41no—
419C23×D59—41no—
420C23×D59—41no—
421C23×D59—41no—
422C23×D59—41no—
423C23×D59—41no—
424C23×D59—41no—
425C23×D59—41no—
426C23×D59—41no—
427C23×D59C2×D414yes—
428C23×D59C2411yescharacteristic
429C23×D59C2411yescharacteristic
430C23×D59C2411yescharacteristic
431C23×D59C2411yescharacteristic
432C23×D59C2411yescharacteristic
433C2×D4×C59—22no—
434C2×D4×C59—22no—
435C2×D4×C59—22no—
436C2×D4×C59—22no—
437C2×D4×C59—22no—
438C2×D4×C59—22no—
439C2×D4×C59—22no—
440C2×D4×C59—22no—
441C2×D4×C59—41no—
442C2×D4×C59—41no—
443C2×D4×C59—41no—
444C2×D4×C59—41no—
445C2×D4×C59—41no—
446C2×D4×C59—41no—
447C2×D4×C59—41no—
448C2×D4×C59—41no—
449C2×D4×C59—41no—
450C2×D4×C59—41no—
451C22×C4×C59—22no—
452C22×C4×C59—22no—
453C22×C4×C59—22no—
454C22×C4×C59—41no—
455C22×C4×C59—41no—
456C22×C4×C59—41no—
457C22×C4×C59—41no—
458C22×C4×C59—41no—
459C22×C4×C59—41no—
460C22×C4×C59C2411yescharacteristic
461C22×C4×C59C2411yescharacteristic
462C22×C4×C59C2411yescharacteristic
463C22×C4×C59C2411yescharacteristic
464C22×C4×C59C2411yescharacteristic
465C22×C4×C59C2411yescharacteristic
466C22×C4×C59C2411yescharacteristic
467C22×C4×C59C2411yescharacteristic
468C22×C4×C59C2411yescharacteristic
469C22×C4×C59C2411yescharacteristic
470C22×C4×C59C2411yescharacteristic
471C2×C22⋊D59—22no—
472C2×C22⋊D59—22no—
473C2×C22⋊D59—22no—
474C2×C22⋊D59—22no—
475C2×C22⋊D59—22no—
476C2×C22⋊D59—22no—
477C2×C22⋊D59—22no—
478C2×C22⋊D59—22no—
479C2×C22⋊D59—22no—
480C2×C22⋊D59—22no—
481C2×C22⋊D59—22no—
482C2×C22⋊D59—22no—
483C2×C22⋊D59—22no—
484C2×C22⋊D59—22no—
485C2×C22⋊D59—22no—
486C2×C22⋊D59—22no—
487C2×C22⋊D59—22no—
488C2×C22⋊D59—22no—
489C2×C22⋊D59—22no—
490C2×C22⋊D59—22no—
491C2×C22⋊D59—41no—
492C2×C22⋊D59—41no—
493C2×C22⋊D59—41no—
494C2×C22⋊D59—41no—
495C2×C22⋊D59—41no—
496C2×C22⋊D59—41no—
497C2×C22⋊D59—41no—
498C2×C22⋊D59—41no—
499C2×C22⋊D59—41no—
500C2×C22⋊D59—41no—
501C2×C22⋊D59—41no—
502C2×C22⋊D59—41no—
503C2×C22⋊D59—41no—
504C2×C22⋊D59—41no—
505C2×C22⋊D59—41no—
506C2×C22⋊D59—41no—
507C2×C22⋊D59—41no—
508C2×C22⋊D59—41no—
509C2×C22⋊D59—41no—
510C2×C22⋊D59—41no—
511C2×C22⋊D59—41no—
512C2×C22⋊D59—41no—
513C22×Dic59—22no—
514C22×Dic59—22no—
515C22×Dic59—41no—
516C22×Dic59—41no—
517C22×Dic59—41no—
518C22×Dic59—41no—
519C22×Dic59C2411yescharacteristic
520C22×Dic59C2411yescharacteristic
521C22×Dic59C2411yescharacteristic
522C22×Dic59C2411yescharacteristic
523C22×Dic59C2411yescharacteristic
524C22×Dic59C2411yescharacteristic
525C22×Dic59C2411yescharacteristic
526C22×Dic59C2411yescharacteristic
527C22×Dic59C2411yescharacteristic
528C22×Dic59C2411yescharacteristic
529C22×Dic59C2411yescharacteristic
530D4×D59—416no—
531D4×D59—416no—
532D4×D59—416no—
533C2×D236—22no—
534C2×D236—22no—
535C2×D236—22no—
536C2×D236—22no—
537C2×D236—22no—
538C2×D236—22no—
539C2×D236—22no—
540C2×D236—22no—
541C2×D236—22no—
542C2×D236—22no—
543C2×D236—22no—
544C2×D236—41no—
545C2×D236—41no—
546C2×D236—41no—
547C2×D236—41no—
548C2×D236—41no—
549C2×D236—41no—
550C2×D236—41no—
551C2×D236—41no—
552C2×D236—41no—
553C2×D236—41no—
554C2×C4×D59—22no—
555C2×C4×D59—22no—
556C2×C4×D59—22no—
557C2×C4×D59—22no—
558C2×C4×D59—22no—
559C2×C4×D59—22no—
560C2×C4×D59—22no—
561C2×C4×D59—22no—
562C2×C4×D59—22no—
563C2×C4×D59—416no—
564C2×C4×D59—41no—
565C2×C4×D59—41no—
566C2×C4×D59—41no—
567C2×C4×D59—41no—
568C2×C4×D59—41no—
569C2×C4×D59—41no—
570C2×C4×D59—41no—
571C2×C4×D59—41no—
572C2×C4×D59—41no—
573C2×C4×D59—41no—
574C2×C4×D59—41no—
575C2×C4×D59—41no—
576C2×C4×D59—41no—
577C2×C4×D59—41no—
578C2×C4×D59—41no—
579C2×C4×D59—41no—
580C2×C4×D59C2×D414yes—
581C2×C4×D59C2×D414yes—
582C2×Dic118—22no—
583C2×Dic118—41no—
584C2×Dic118—41no—
585C4⋊C4×C59—22no—
586C4⋊C4×C59—22no—
587C4⋊C4×C59—22no—
588C4⋊C4×C59—41no—
589C4⋊C4×C59—41no—
590C4⋊C4×C59—41no—
591C4⋊C4×C59—41no—
592C22⋊C4×C59—22no—
593C22⋊C4×C59—22no—
594C22⋊C4×C59—22no—
595C22⋊C4×C59—22no—
596C22⋊C4×C59—22no—
597C22⋊C4×C59—22no—
598C22⋊C4×C59—41no—
599C22⋊C4×C59—41no—
600C22⋊C4×C59—41no—
601C22⋊C4×C59—41no—
602C22⋊C4×C59—41no—
603C22⋊C4×C59—41no—
604C22⋊C4×C59C2×D414yes—
605C22⋊Dic59—22no—
606C22⋊Dic59—22no—
607C22⋊Dic59—22no—
608C22⋊Dic59—22no—
609C22⋊Dic59—41no—
610C22⋊Dic59—41no—
611C22⋊Dic59—41no—
612C22⋊Dic59—41no—
613C22⋊Dic59—41no—
614C22⋊Dic59—41no—
615C22⋊Dic59—41no—
616C22⋊Dic59—41no—
617C22⋊Dic59C2×D414yes—
618(C2×D59)⋊C4—22no—
619(C2×D59)⋊C4—22no—
620(C2×D59)⋊C4—22no—
621(C2×D59)⋊C4—22no—
622(C2×D59)⋊C4—22no—
623(C2×D59)⋊C4—22no—
624(C2×D59)⋊C4—22no—
625(C2×D59)⋊C4—22no—
626(C2×D59)⋊C4—22no—
627(C2×D59)⋊C4—22no—
628(C2×D59)⋊C4—22no—
629(C2×D59)⋊C4—22no—
630(C2×D59)⋊C4—22no—
631(C2×D59)⋊C4—22no—
632(C2×D59)⋊C4—22no—
633(C2×D59)⋊C4—22no—
634(C2×D59)⋊C4—41no—
635(C2×D59)⋊C4—41no—
636(C2×D59)⋊C4—41no—
637(C2×D59)⋊C4—41no—
638(C2×D59)⋊C4—41no—
639(C2×D59)⋊C4—41no—
640(C2×D59)⋊C4—41no—
641(C2×D59)⋊C4—41no—
642(C2×D59)⋊C4—41no—
643(C2×D59)⋊C4—41no—
644(C2×D59)⋊C4—41no—
645(C2×D59)⋊C4—41no—
646(C2×D59)⋊C4—41no—
647(C2×D59)⋊C4—41no—
648(C2×D59)⋊C4C2×D414yes—
649(C2×D59)⋊C4C2×D414yes—
650C4⋊Dic59—22no—
651C4⋊Dic59—22no—
652C4⋊Dic59—22no—
653C4⋊Dic59—22no—
654C4⋊Dic59—22no—
655C4⋊Dic59—41no—
656C4⋊Dic59—41no—
657Dic59⋊C4—22no—
658Dic59⋊C4—22no—
659Dic59⋊C4—22no—
660Dic59⋊C4—22no—
661Dic59⋊C4—22no—
662Dic59⋊C4—22no—
663Dic59⋊C4—41no—
664Dic59⋊C4—41no—
665Dic59⋊C4—41no—
666Dic59⋊C4—41no—
667Dic59⋊C4—41no—
668Dic59⋊C4—41no—
669C4×Dic59—22no—
670C4×Dic59—22no—
671C23×C59—21no—
672C23×C59—21no—
673C23×C59—21no—
674C23×C59—21no—
675C23×C59—21no—
676C23×C59—21no—
677C23×C59—21no—
678C23×C59—21no—
679C23×C59—21no—
680C23×C59—21no—
681C23×C59—21no—
682C23×C59—21no—
683C23×C59—21no—
684C23×C59—21no—
685C23×C59—21no—
686C23×C59—21no—
687C23×C59—21no—
688C23×C59—21no—
689C23×C59—21no—
690C23×C59—21no—
691C23×C59—21no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59—21no—
695C23×C59—21no—
696C23×C59—21no—
697C23×C59C22×D412yes—
698C23×C59H(5,𝔽2)12yes—
699C23×C59C2511yescharacteristic
700C22×D59—21no—
701C22×D59—21no—
702C22×D59—21no—
703C22×D59—21no—
704C22×D59—28no—
705C22×D59—21no—
706C22×D59—21no—
707C22×D59—21no—
708C22×D59—21no—
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—21no—
717C22×D59—28no—
718C22×D59—21no—
719C22×D59—21no—
720C22×D59—21no—
721C22×D59—21no—
722C22×D59—21no—
723C22×D59—21no—
724C22×D59—21no—
725C22×D59—21no—
726C22×D59—21no—
727C22×D59—21no—
728C22×D59—21no—
729C22×D59—21no—
730C22×D59—21no—
731C22×D59—21no—
732C22×D59—44no—
733C22×D59—44no—
734C22×D59—44no—
735C22×D59—44no—
736C22×D59—44no—
737C22×D59—44no—
738C22×D59—44no—
739C22×D59—44no—
740C22×D59—44no—
741C22×D59—44no—
742C22×D59—44no—
743C22×D59—82no—
744C22×D59—82no—
745C22×D59—82no—
746C22×D59—82no—
747C22×D59—82no—
748C22×D59—82no—
749C22×D59—82no—
750C22×D59—82no—
751C22×D59C22×D412yes—
752C22×D59C22×D412yes—
753C22×D59H(5,𝔽2)12yes—
754C22×D59H(5,𝔽2)12yes—
755C22×D592−1+412yes—
756D4×C59—44no—
757D4×C59—44no—
758D4×C59—44no—
759D4×C59—82no—
760D4×C59—82no—
761D4×C59—82no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
773C2×C4×C59—21no—
774C2×C4×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—21no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—44no—
793C2×C4×C59—82no—
794C2×C4×C59—82no—
795C2×C4×C59C22×D412yes—
796C2×C4×C59C22×D412yes—
797C2×C4×C59H(5,𝔽2)12yes—
798C22⋊D59—44no—
799C22⋊D59—44no—
800C22⋊D59—44no—
801C22⋊D59—44no—
802C22⋊D59—44no—
803C22⋊D59—44no—
804C22⋊D59—44no—
805C22⋊D59—82no—
806C22⋊D59—82no—
807C22⋊D59—82no—
808C22⋊D59—82no—
809C22⋊D59—82no—
810C22⋊D59—82no—
811C22⋊D59—82no—
812C2×Dic59—21no—
813C2×Dic59—21no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—21no—
820C2×Dic59—21no—
821C2×Dic59—21no—
822C2×Dic59—21no—
823C2×Dic59—21no—
824C2×Dic59—21no—
825C2×Dic59—21no—
826C2×Dic59—21no—
827C2×Dic59—21no—
828C2×Dic59—21no—
829C2×Dic59—21no—
830C2×Dic59—21no—
831C2×Dic59—21no—
832C2×Dic59—21no—
833C2×Dic59—21no—
834C2×Dic59—21no—
835C2×Dic59—21no—
836C2×Dic59—21no—
837C2×Dic59—21no—
838C2×Dic59—21no—
839C2×Dic59—21no—
840C2×Dic59—21no—
841C2×Dic59—21no—
842C2×Dic59—44no—
843C2×Dic59—82no—
844C2×Dic59C22×D412yes—
845C2×Dic59C22×D412yes—
846C2×Dic59H(5,𝔽2)12yes—
847D236—44no—
848D236—44no—
849D236—44no—
850D236—44no—
851D236—82no—
852D236—82no—
853D236—82no—
854C4×D59—28no—
855C4×D59—44no—
856C4×D59—44no—
857C4×D59—44no—
858C4×D59—44no—
859C4×D59—44no—
860C4×D59—82no—
861C4×D59—82no—
862C4×D59—82no—
863Dic118—82no—
864#36706—591nomaximal, Sylow
865C22×C59—22no—
866C22×C59—22no—
867C22×C59—22no—
868C22×C59—22no—
869C22×C59—22no—
870C22×C59—22no—
871C22×C59—41no—
872C22×C59—41no—
873C22×C59—41no—
874C22×C59—41no—
875C22×C59—41no—
876C22×C59—41no—
877C22×C59—41no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59—41no—
881C22×C59—41no—
882C22×C59—41no—
883C22×C59—41no—
884C22×C59—41no—
885C22×C59—41no—
886C22×C59—41no—
887C22×C59—41no—
888C22×C59—41no—
889C22×C59—41no—
890C22×C59—41no—
891C22×C59—41no—
892C22×C59—41no—
893C22×C59C23×D411yescharacteristic
894C22×C59C2×H(5,𝔽2)11yescharacteristic
895C22×C59C2×H(5,𝔽2)11yescharacteristic
896C22×C59C2×H(5,𝔽2)11yescharacteristic
897C22×C59C2×H(5,𝔽2)11yescharacteristic
898C22×C59C2×H(5,𝔽2)11yescharacteristic
899C22×C59C2×2−1+411yescharacteristic
900C2×D59—22no—
901C2×D59—22no—
902C2×D59—22no—
903C2×D59—22no—
904C2×D59—22no—
905C2×D59—22no—
906C2×D59—22no—
907C2×D59—22no—
908C2×D59—22no—
909C2×D59—22no—
910C2×D59—22no—
911C2×D59—22no—
912C2×D59—416no—
913C2×D59—41no—
914C2×D59—41no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—41no—
919C2×D59—41no—
920C2×D59—41no—
921C2×D59—41no—
922C2×D59—41no—
923C2×D59—41no—
924C2×D59—41no—
925C2×D59—41no—
926C2×D59—41no—
927C2×D59—41no—
928C2×D59—41no—
929C2×D59—41no—
930C2×D59—41no—
931C2×D59—41no—
932C2×D59—41no—
933C2×D59—41no—
934C2×D59—41no—
935C2×D59—88no—
936C2×D59—88no—
937C2×D59#53714yes—
938C4×C59—22no—
939C4×C59—22no—
940C4×C59—22no—
941C4×C59—41no—
942C4×C59—41no—
943C4×C59—41no—
944C4×C59—41no—
945C4×C59—41no—
946C4×C59—41no—
947C4×C59—41no—
948C4×C59—41no—
949Dic59—22no—
950Dic59—22no—
951Dic59—22no—
952Dic59—41no—
953Dic59—41no—
954Dic59—41no—
955Dic59—41no—
956Dic59—41no—
957Dic59—41no—
958Dic59—41no—
959Dic59—41no—
960C2×#538—591no—
961C22×#121—591no—
962#2848—591no—
963#2847—591no—
964#2691—591no—
965#2691—591no—
966#2691—591no—
967#2691—591no—
968#2676—591no—
969#2676—591no—
970#2676—591no—
971#2676—591no—
972#2675—591no—
973#2675—591no—
974#2675—591no—
975#2675—591no—
976#2671—591no—
977#2671—591no—
978#2671—591no—
979#2671D5911yescharacteristic, complemented
980#2626—591no—
981#2617—591no—
982#2579—591no—
983#2579—591no—
984#2410—591no—
985#2410—591no—
986#2410—591no—
987#2410—591no—
988#2408—591no—
989#2408—591no—
990#2315—591no—
991C2×C59—42no—
992C2×C59—42no—
993C2×C59—81no—
994C2×C59—81no—
995C2×C59C2×#53711yescharacteristic
996C2×C59#348411yescharacteristic
997C2×C59#348411yescharacteristic
998C2×C59#353611yescharacteristic
999C2×C59#353611yescharacteristic
1000C2×C59#353711yescharacteristic
1001C2×C59#353711yescharacteristic
1002D59—24no—
1003D59—42no—
1004D59—42no—
1005D59—81no—
1006D59—81no—
1007C23×D4—591no—
1008C23×D4—591no—
1009C23×D4—591no—
1010C24×C4—591no—
1011#538—1188no—
1012C2×#126—591no—
1013C2×#126—591no—
1014C2×#124—591no—
1015C2×#124—591no—
1016C2×#123—591no—
1017C2×#123C2×D5911yescharacteristic, complemented
1018C2×C22⋊Q8—591no—
1019C2×C22⋊Q8—591no—
1020C2×C22⋊Q8—591no—
1021C2×#121—591no—
1022C2×#121—591no—
1023C2×#121—591no—
1024C2×#121—591no—
1025C2×#121—591no—
1026C2×#121—591no—
1027C2×#121—591no—
1028C2×#121—591no—
1029C2×#121—591no—
1030C2×#121—591no—
1031C2×#121—591no—
1032C2×#121—591no—
1033C2×#121—591no—
1034C2×#121—591no—
1035C2×#121—591no—
1036C2×#121—591no—
1037C2×#121—591no—
1038C2×#121—591no—
1039C2×#121—591no—
1040C2×#121—591no—
1041C2×#121—591no—
1042C2×#121—591no—
1043C2×#121—1188no—
1044C2×#121C2×D5911yescharacteristic
1045C2×#121C2×D5911yescharacteristic, complemented
1046C2×#121C2×D5911yescharacteristic, complemented
1047C2×#120—591no—
1048C2×#120—591no—
1049C2×#120—591no—
1050C2×#120—591no—
1051C2×#120—591no—
1052C2×#120—591no—
1053C2×C4×D4—591no—
1054C2×C4×D4—591no—
1055C22×C4⋊C4—591no—
1056C22×C22⋊C4—591no—
1057C22×C22⋊C4—591no—
1058C22×C22⋊C4—591no—
1059C22×C22⋊C4—591no—
1060#399—591no—
1061#399C2×D5911yescharacteristic, complemented
1062#398—591no—
1063#398—591no—
1064#398—591no—
1065#398C2×D5911yescharacteristic, complemented
1066#397—591no—
1067#397—591no—
1068#396—591no—
1069#396—591no—
1070#396—591no—
1071#396—591no—
1072#396—591no—
1073#396—591no—
1074#396—591no—
1075#396—591no—
1076#394—591no—
1077#394—591no—
1078#394—591no—
1079#394—591no—
1080#394—591no—
1081#394—591no—
1082#394—591no—
1083#394—591no—
1084#394—591no—
1085#394—591no—
1086#394—591no—
1087#394—591no—
1088#394—591no—
1089#394C2×D5911yescharacteristic, complemented
1090#394C2×D5911yescharacteristic, complemented
1091#394C2×D5911yescharacteristic, complemented
1092#393—591no—
1093#393—591no—
1094#392—591no—
1095#392—591no—
1096#392—591no—
1097#392—591no—
1098#392—591no—
1099#392—591no—
1100#392—591no—
1101#392—591no—
1102#392—591no—
1103#392—591no—
1104#392—591no—
1105#392—591no—
1106#392—591no—
1107#392C2×D5911yescharacteristic, complemented
1108#390—591no—
1109#390—591no—
1110#390—591no—
1111#390—591no—
1112#387—591no—
1113#387—591no—
1114#387—591no—
1115#387—591no—
1116#386—591no—
1117#386—591no—
1118#386—591no—
1119#386—591no—
1120#386—591no—
1121#386—591no—
1122#386—591no—
1123#386—591no—
1124#386—591no—
1125#386—591no—
1126#386—591no—
1127#386—591no—
1128#386—591no—
1129#386—591no—
1130#386C2×D5911yescharacteristic, complemented
1131#386C2×D5911yescharacteristic, complemented
1132#385—591no—
1133#385—591no—
1134#385—591no—
1135#385—591no—
1136#385—591no—
1137#385—591no—
1138#385—591no—
1139#385—591no—
1140#385—591no—
1141#385—591no—
1142#385—591no—
1143#385—591no—
1144#385—591no—
1145#385—591no—
1146#385—591no—
1147#385—591no—
1148#385—591no—
1149#385—591no—
1150#385C2×D5911yescharacteristic, complemented
1151#385C2×D5911yescharacteristic, complemented
1152#380—591no—
1153#380—591no—
1154#380—591no—
1155#380—591no—
1156#380—591no—
1157#380—591no—
1158#380—591no—
1159#380C2×D5911yescharacteristic, complemented
1160#379—591no—
1161#379—591no—
1162#379—591no—
1163#379—591no—
1164C59#3670611yescharacteristic, complemented, Sylow
1165C25—591no—
1166C25—591no—
1167C25—591no—
1168C22×Q8—591no—
1169C22×D4—591no—
1170C22×D4—591no—
1171C22×D4—591no—
1172C22×D4—591no—
1173C22×D4—591no—
1174C22×D4—591no—
1175C22×D4—591no—
1176C22×D4—591no—
1177C22×D4—591no—
1178C22×D4—591no—
1179C22×D4—591no—
1180C22×D4—591no—
1181C22×D4—591no—
1182C22×D4—591no—
1183C22×D4—591no—
1184C22×D4—591no—
1185C22×D4—591no—
1186C22×D4—591no—
1187C22×D4—591no—
1188C22×D4—591no—
1189C22×D4—591no—
1190C22×D4—1184no—
1191C22×D4—1184no—
1192C22×D4—1184no—
1193C22×D4—2362no—
1194C22×D4—2362no—
1195C22×D4—2362no—
1196C22×D4—2362no—
1197C22×D4—2362no—
1198C22×D4—2362no—
1199C22×D4C22×D5911yescharacteristic
1200C22×D4C22×D5911yescharacteristic
1201C22×D4C22×D5911yescharacteristic
1202C22×D4C22×D5911yescharacteristic
1203C22×D4C22×D5911yescharacteristic
1204C22×D4C22×D5911yescharacteristic
1205C23×C4—591no—
1206C23×C4—591no—
1207C23×C4—591no—
1208C23×C4—591no—
1209C23×C4—591no—
1210C23×C4—591no—
1211C23×C4—591no—
1212C23×C4—591no—
1213C23×C4—591no—
1214C23×C4—591no—
1215C23×C4—591no—
1216C23×C4—1184no—
1217C23×C4—2362no—
1218C23×C4—2362no—
1219C23×C4C22×D5911yescharacteristic
1220C23×C4C22×D5911yescharacteristic
1221C23×C4C22×D5911yescharacteristic
1222#126—1184no—
1223#126—1184no—
1224#124—1184no—
1225#124—1184no—
1226#123—24no—
1227#123—1184no—
1228C22⋊Q8—1184no—
1229C22⋊Q8—2362no—
1230C22⋊Q8—2362no—
1231#121—24no—
1232#121—42no—
1233#121—42no—
1234#121—1184no—
1235#121—1184no—
1236#121—1184no—
1237#121—1184no—
1238#121—1184no—
1239#121—1184no—
1240#121—1184no—
1241#121—1184no—
1242#121—1184no—
1243#121—1184no—
1244#121—2362no—
1245#121—2362no—
1246#121—2362no—
1247#121—2362no—
1248#121—2362no—
1249#121—2362no—
1250#121—2362no—
1251#121—2362no—
1252#121—2362no—
1253#121—2362no—
1254#121—2362no—
1255#121—2362no—
1256#120—1184no—
1257#120—1184no—
1258#120—2362no—
1259#120—2362no—
1260#120—2362no—
1261#120—2362no—
1262C4×D4—1184no—
1263C4×D4—1184no—
1264C2×C4⋊C4—591no—
1265C2×C4⋊C4—591no—
1266C2×C4⋊C4—591no—
1267C2×C4⋊C4—591no—
1268C2×C4⋊C4—591no—
1269C2×C4⋊C4—591no—
1270C2×C4⋊C4—591no—
1271C2×C4⋊C4—591no—
1272C2×C4⋊C4—591no—
1273C2×C4⋊C4—591no—
1274C2×C4⋊C4—591no—
1275C2×C4⋊C4—591no—
1276C2×C4⋊C4—591no—
1277C2×C4⋊C4—591no—
1278C2×C4⋊C4—591no—
1279C2×C4⋊C4—591no—
1280C2×C4⋊C4—591no—
1281C2×C4⋊C4—591no—
1282C2×C4⋊C4—591no—
1283C2×C4⋊C4—1184no—
1284C2×C4⋊C4C22×D5911yescharacteristic
1285C2×C4⋊C4C22×D5911yescharacteristic
1286C2×C4⋊C4C22×D5911yescharacteristic
1287C2×C4⋊C4C22×D5911yescharacteristic
1288C2×C4⋊C4C22×D5911yescharacteristic
1289C2×C4⋊C4C22×D5911yescharacteristic
1290C2×C4⋊C4C22×D5911yescharacteristic
1291C2×C22⋊C4—591no—
1292C2×C22⋊C4—591no—
1293C2×C22⋊C4—591no—
1294C2×C22⋊C4—598no—
1295C2×C22⋊C4—591no—
1296C2×C22⋊C4—591no—
1297C2×C22⋊C4—591no—
1298C2×C22⋊C4—591no—
1299C2×C22⋊C4—591no—
1300C2×C22⋊C4—591no—
1301C2×C22⋊C4—591no—
1302C2×C22⋊C4—591no—
1303C2×C22⋊C4—591no—
1304C2×C22⋊C4—591no—
1305C2×C22⋊C4—591no—
1306C2×C22⋊C4—591no—
1307C2×C22⋊C4—591no—
1308C2×C22⋊C4—591no—
1309C2×C22⋊C4—591no—
1310C2×C22⋊C4—591no—
1311C2×C22⋊C4—591no—
1312C2×C22⋊C4—591no—
1313C2×C22⋊C4—591no—
1314C2×C22⋊C4—591no—
1315C2×C22⋊C4—591no—
1316C2×C22⋊C4—591no—
1317C2×C22⋊C4—591no—
1318C2×C22⋊C4—591no—
1319C2×C22⋊C4—591no—
1320C2×C22⋊C4—591no—
1321C2×C22⋊C4—591no—
1322C2×C22⋊C4—591no—
1323C2×C22⋊C4—591no—
1324C2×C22⋊C4—591no—
1325C2×C22⋊C4—591no—
1326C2×C22⋊C4—591no—
1327C2×C22⋊C4—591no—
1328C2×C22⋊C4—591no—
1329C2×C22⋊C4—591no—
1330C2×C22⋊C4—591no—
1331C2×C22⋊C4—591no—
1332C2×C22⋊C4—591no—
1333C2×C22⋊C4—591no—
1334C2×C22⋊C4—591no—
1335C2×C22⋊C4—591no—
1336C2×C22⋊C4—591no—
1337C2×C22⋊C4—1184no—
1338C2×C22⋊C4—2362no—
1339C2×C22⋊C4—2362no—
1340C2×C22⋊C4C22×D5911yescharacteristic
1341C2×C22⋊C4C22×D5911yescharacteristic
1342C2×C22⋊C4C22×D5911yescharacteristic
1343C2×C22⋊C4C22×D5911yescharacteristic
1344C2×C22⋊C4C22×D5911yescharacteristic
1345C2×C22⋊C4C22×D5911yescharacteristic
1346C2×C22⋊C4C22×D5911yescharacteristic
1347C2×C22⋊C4C22×D5911yescharacteristic
1348C2×C22⋊C4C22×D5911yescharacteristic
1349C2×C22⋊C4C22×D5911yescharacteristic
1350C2×C22⋊C4C22×D5911yescharacteristic
1351C2×C22⋊C4C22×D5911yescharacteristic
1352C2×C22⋊C4C22×D5911yescharacteristic
1353C2×C42—591no—
1354C2×C42—591no—
1355#95—591no—
1356#95—591no—
1357#95—591no—
1358#95—591no—
1359#95—591no—
1360#95—591no—
1361#95—591no—
1362#95—591no—
1363#95—591no—
1364#95—591no—
1365#95—591no—
1366#95—591no—
1367#95—591no—
1368#95—591no—
1369#95—591no—
1370#95—591no—
1371#95—591no—
1372#95—591no—
1373#95C22×D5911yescharacteristic
1374#95C22×D5911yescharacteristic
1375#95C22×D5911yescharacteristic
1376#95C22×D5911yescharacteristic
1377#95C22×D5911yescharacteristic
1378#95C22×D5911yescharacteristic
1379C24—591no—
1380C24—591no—
1381C24—591no—
1382C24—594no—
1383C24—591no—
1384C24—591no—
1385C24—1182no—
1386C24—1182no—
1387C24—1182no—
1388C24—1182no—
1389C24—1182no—
1390C24—1182no—
1391C24—1182no—
1392C24—1182no—
1393C24—1182no—
1394C24—1182no—
1395C24—2361no—
1396C24—2361no—
1397C24—2361no—
1398C24—2361no—
1399C24—2361no—
1400C24—2361no—
1401C24—2361no—
1402C24—2361no—
1403C24—2361no—
1404C24—2361no—
1405C24C23×D5911yescharacteristic
1406C24C23×D5911yescharacteristic
1407C24C23×D5911yescharacteristic
1408C24C23×D5911yescharacteristic
1409C2×Q8—1182no—
1410C2×Q8—2361no—
1411C2×Q8—2361no—
1412C2×D4—22no—
1413C2×D4—22no—
1414C2×D4—22no—
1415C2×D4—22no—
1416C2×D4—22no—
1417C2×D4—22no—
1418C2×D4—22no—
1419C2×D4—22no—
1420C2×D4—41no—
1421C2×D4—41no—
1422C2×D4—41no—
1423C2×D4—41no—
1424C2×D4—41no—
1425C2×D4—41no—
1426C2×D4—41no—
1427C2×D4—41no—
1428C2×D4—41no—
1429C2×D4—41no—
1430C2×D4—1182no—
1431C2×D4—1182no—
1432C2×D4—1182no—
1433C2×D4—1182no—
1434C2×D4—1182no—
1435C2×D4—1182no—
1436C2×D4—1182no—
1437C2×D4—1182no—
1438C2×D4—1182no—
1439C2×D4—1182no—
1440C2×D4—1182no—
1441C2×D4—1182no—
1442C2×D4—1182no—
1443C2×D4—1182no—
1444C2×D4—1182no—
1445C2×D4—1182no—
1446C2×D4—1182no—
1447C2×D4—1182no—
1448C2×D4—1182no—
1449C2×D4—1182no—
1450C2×D4—1182no—
1451C2×D4—1182no—
1452C2×D4—1182no—
1453C2×D4—1182no—
1454C2×D4—1182no—
1455C2×D4—1182no—
1456C2×D4—1182no—
1457C2×D4—1182no—
1458C2×D4—1182no—
1459C2×D4—1182no—
1460C2×D4—1182no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4—2361no—
1464C2×D4—2361no—
1465C2×D4—2361no—
1466C2×D4—2361no—
1467C2×D4—2361no—
1468C2×D4—2361no—
1469C2×D4—2361no—
1470C2×D4—2361no—
1471C2×D4—23616no—
1472C2×D4—2361no—
1473C2×D4—2361no—
1474C2×D4—2361no—
1475C2×D4—2361no—
1476C2×D4—2361no—
1477C2×D4—2361no—
1478C2×D4—2361no—
1479C2×D4—2361no—
1480C2×D4—2361no—
1481C2×D4—2361no—
1482C2×D4—2361no—
1483C2×D4—2361no—
1484C2×D4—2361no—
1485C2×D4—2361no—
1486C2×D4—2361no—
1487C2×D4—2361no—
1488C2×D4—2361no—
1489C2×D4—2361no—
1490C2×D4—2361no—
1491C2×D4—2361no—
1492C2×D4—2361no—
1493C2×D4—2361no—
1494C2×D4—23616no—
1495C2×D4—23616no—
1496C22×C4—22no—
1497C22×C4—22no—
1498C22×C4—22no—
1499C22×C4—41no—
1500C22×C4—41no—
1501C22×C4—41no—
1502C22×C4—41no—
1503C22×C4—41no—
1504C22×C4—41no—
1505C22×C4—591no—
1506C22×C4—591no—
1507C22×C4—591no—
1508C22×C4—594no—
1509C22×C4—594no—
1510C22×C4—591no—
1511C22×C4—591no—
1512C22×C4—591no—
1513C22×C4—591no—
1514C22×C4—591no—
1515C22×C4—591no—
1516C22×C4—591no—
1517C22×C4—591no—
1518C22×C4—1182no—
1519C22×C4—1182no—
1520C22×C4—1182no—
1521C22×C4—1182no—
1522C22×C4—1182no—
1523C22×C4—1182no—
1524C22×C4—1182no—
1525C22×C4—1182no—
1526C22×C4—1182no—
1527C22×C4—1182no—
1528C22×C4—1182no—
1529C22×C4—2361no—
1530C22×C4—2361no—
1531C22×C4—2361no—
1532C22×C4—2361no—
1533C22×C4—2361no—
1534C22×C4—2361no—
1535C22×C4—2361no—
1536C22×C4—2361no—
1537C22×C4—2361no—
1538C22×C4—2361no—
1539C22×C4—2361no—
1540C22×C4—2361no—
1541C22×C4—2361no—
1542C22×C4—2361no—
1543C22×C4—2361no—
1544C22×C4—2361no—
1545C22×C4—23616no—
1546C22×C4—2361no—
1547C22×C4—2361no—
1548C22×C4—2361no—
1549C22×C4—2361no—
1550C22×C4C23×D5911yescharacteristic
1551C22×C4C23×D5911yescharacteristic
1552C22×C4C23×D5911yescharacteristic
1553C22×C4C23×D5911yescharacteristic
1554C22×C4C23×D5911yescharacteristic
1555C22×C4C23×D5911yescharacteristic
1556C22×C4C23×D5911yescharacteristic
1557C22×C4C23×D5911yescharacteristic
1558C22×C4C23×D5911yescharacteristic
1559C22×C4C23×D5911yescharacteristic
1560C22×C4C23×D5911yescharacteristic
1561C4⋊C4—22no—
1562C4⋊C4—22no—
1563C4⋊C4—22no—
1564C4⋊C4—41no—
1565C4⋊C4—41no—
1566C4⋊C4—41no—
1567C4⋊C4—41no—
1568C4⋊C4—1182no—
1569C4⋊C4—1182no—
1570C4⋊C4—1182no—
1571C4⋊C4—1182no—
1572C4⋊C4—1182no—
1573C4⋊C4—1182no—
1574C4⋊C4—1182no—
1575C4⋊C4—1182no—
1576C4⋊C4—1182no—
1577C4⋊C4—1182no—
1578C4⋊C4—1182no—
1579C4⋊C4—2361no—
1580C4⋊C4—2361no—
1581C4⋊C4—2361no—
1582C4⋊C4—2361no—
1583C4⋊C4—2361no—
1584C4⋊C4—2361no—
1585C4⋊C4—2361no—
1586C4⋊C4—2361no—
1587C22⋊C4—22no—
1588C22⋊C4—22no—
1589C22⋊C4—22no—
1590C22⋊C4—22no—
1591C22⋊C4—22no—
1592C22⋊C4—22no—
1593C22⋊C4—41no—
1594C22⋊C4—41no—
1595C22⋊C4—41no—
1596C22⋊C4—41no—
1597C22⋊C4—41no—
1598C22⋊C4—41no—
1599C22⋊C4—594no—
1600C22⋊C4—594no—
1601C22⋊C4—594no—
1602C22⋊C4—1182no—
1603C22⋊C4—1182no—
1604C22⋊C4—1182no—
1605C22⋊C4—1182no—
1606C22⋊C4—1182no—
1607C22⋊C4—1182no—
1608C22⋊C4—1182no—
1609C22⋊C4—1182no—
1610C22⋊C4—1182no—
1611C22⋊C4—1182no—
1612C22⋊C4—1182no—
1613C22⋊C4—1182no—
1614C22⋊C4—1182no—
1615C22⋊C4—1182no—
1616C22⋊C4—1182no—
1617C22⋊C4—1182no—
1618C22⋊C4—1182no—
1619C22⋊C4—1182no—
1620C22⋊C4—1182no—
1621C22⋊C4—1182no—
1622C22⋊C4—2361no—
1623C22⋊C4—2361no—
1624C22⋊C4—2361no—
1625C22⋊C4—2361no—
1626C22⋊C4—2361no—
1627C22⋊C4—2361no—
1628C22⋊C4—2361no—
1629C22⋊C4—2361no—
1630C22⋊C4—2361no—
1631C22⋊C4—2361no—
1632C22⋊C4—2361no—
1633C22⋊C4—2361no—
1634C22⋊C4—2361no—
1635C22⋊C4—2361no—
1636C22⋊C4—2361no—
1637C22⋊C4—2361no—
1638C22⋊C4—2361no—
1639C22⋊C4—2361no—
1640C22⋊C4—2361no—
1641C22⋊C4—2361no—
1642C22⋊C4—2361no—
1643C22⋊C4—2361no—
1644C22⋊C4D4×D5914yes—
1645C42—1182no—
1646C42—1182no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—592no—
1674C23—592no—
1675C23—592no—
1676C23—592no—
1677C23—592no—
1678C23—1188no—
1679C23—1188no—
1680C23—1181no—
1681C23—1181no—
1682C23—1181no—
1683C23—1181no—
1684C23—1181no—
1685C23—1181no—
1686C23—1181no—
1687C23—1181no—
1688C23—1181no—
1689C23—1181no—
1690C23—1181no—
1691C23—1181no—
1692C23—1181no—
1693C23—1181no—
1694C23—1181no—
1695C23—1181no—
1696C23—1181no—
1697C23—1181no—
1698C23—1181no—
1699C23—1181no—
1700C23—1181no—
1701C23—1181no—
1702C23—1181no—
1703C23—1181no—
1704C23—1181no—
1705C23—1181no—
1706C23—1181no—
1707C23—1181no—
1708C23—1181no—
1709C23—1181no—
1710C23—4722no—
1711C23—4722no—
1712C23—4722no—
1713C23—4722no—
1714C23—4722no—
1715C23—4722no—
1716C23—4722no—
1717C23—4722no—
1718C23—2364no—
1719C23—2364no—
1720C23—2364no—
1721C23—2364no—
1722C23—2364no—
1723C23—2364no—
1724C23—2364no—
1725C23—2364no—
1726C23—2364no—
1727C23—2364no—
1728C23—2364no—
1729C23C2×D4×D5912yes—
1730C23#1427377212yes—
1731C23C24×D5911yescharacteristic
1732Q8—4722no—
1733D4—44no—
1734D4—44no—
1735D4—44no—
1736D4—82no—
1737D4—82no—
1738D4—82no—
1739D4—4722no—
1740D4—4722no—
1741D4—4722no—
1742D4—4722no—
1743D4—4722no—
1744D4—4722no—
1745D4—4722no—
1746D4—4722no—
1747D4—4722no—
1748D4—4722no—
1749D4—2364no—
1750D4—2364no—
1751D4—2364no—
1752D4—2364no—
1753D4—2364no—
1754D4—2364no—
1755D4—2364no—
1756D4—2364no—
1757D4—2364no—
1758D4—2364no—
1759D4—2364no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—44no—
1791C2×C4—82no—
1792C2×C4—82no—
1793C2×C4—592no—
1794C2×C4—592no—
1795C2×C4—592no—
1796C2×C4—1188no—
1797C2×C4—1181no—
1798C2×C4—1181no—
1799C2×C4—1181no—
1800C2×C4—1181no—
1801C2×C4—1181no—
1802C2×C4—1181no—
1803C2×C4—1181no—
1804C2×C4—1181no—
1805C2×C4—1181no—
1806C2×C4—1181no—
1807C2×C4—1181no—
1808C2×C4—1181no—
1809C2×C4—1181no—
1810C2×C4—1181no—
1811C2×C4—1181no—
1812C2×C4—1181no—
1813C2×C4—1181no—
1814C2×C4—1181no—
1815C2×C4—1181no—
1816C2×C4—1181no—
1817C2×C4—1181no—
1818C2×C4—1181no—
1819C2×C4—1181no—
1820C2×C4—1181no—
1821C2×C4—1181no—
1822C2×C4—1181no—
1823C2×C4—1181no—
1824C2×C4—1181no—
1825C2×C4—1181no—
1826C2×C4—1181no—
1827C2×C4—4722no—
1828C2×C4—4722no—
1829C2×C4—4722no—
1830C2×C4—4722no—
1831C2×C4—2364no—
1832C2×C4—2364no—
1833C2×C4—2364no—
1834C2×C4—2364no—
1835C2×C4—2364no—
1836C2×C4—2364no—
1837C2×C4C2×D4×D5912yes—
1838C2×C4C2×D4×D5912yes—
1839C2×C4#1427377312yes—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—594no—
1869C22—1182no—
1870C22—1182no—
1871C22—1182no—
1872C22—1182no—
1873C22—1182no—
1874C22—1182no—
1875C22—1182no—
1876C22—1182no—
1877C22—1182no—
1878C22—1182no—
1879C22—1182no—
1880C22—1182no—
1881C22—4728no—
1882C22—4728no—
1883C22—23616no—
1884C22—2361no—
1885C22—2361no—
1886C22—2361no—
1887C22—2361no—
1888C22—2361no—
1889C22—2361no—
1890C22—2361no—
1891C22—2361no—
1892C22—2361no—
1893C22—2361no—
1894C22—2361no—
1895C22—2361no—
1896C22—2361no—
1897C22—2361no—
1898C22—2361no—
1899C22—2361no—
1900C22—2361no—
1901C22—2361no—
1902C22—2361no—
1903C22—2361no—
1904C22—2361no—
1905C22—2361no—
1906C22C22×D4×D5911yescharacteristic
1907C22H(5,𝔽2)×D5911yescharacteristic
1908C22H(5,𝔽2)×D5911yescharacteristic
1909C22H(5,𝔽2)×D5911yescharacteristic
1910C22C2×#1427377211yescharacteristic
1911C22C2×#1427377311yescharacteristic
1912C222−1+4×D5911yescharacteristic
1913C4—22no—
1914C4—22no—
1915C4—22no—
1916C4—41no—
1917C4—41no—
1918C4—41no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—1182no—
1925C4—1182no—
1926C4—1182no—
1927C4—2361no—
1928C4—2361no—
1929C4—2361no—
1930C4—2361no—
1931C4—2361no—
1932C4—2361no—
1933C4—2361no—
1934C4—2361no—
1935C2—42no—
1936C2—42no—
1937C2—81no—
1938C2—81no—
1939C2—1184no—
1940C2—4721no—
1941C2—4721no—
1942C2—2362no—
1943C2—2362no—
1944C2#537×D5911yescharacteristic
1945C2#2143772411yescharacteristic
1946C2#2143772611yescharacteristic
1947C2#2143831511yescharacteristic
1948C2#2143831911yescharacteristic
1949C2#2143833311yescharacteristic
1950C2#2143833411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2671C2
hypercenter#2671D59
hypocenterC59#36706
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2671

Complements

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

NH ≅ G/Ntype
1. C2×#16837988C2semidirect
2. C2×#121×D59C2semidirect
3. #21432384C2semidirect
4. #21432377C2semidirect
5. #21430584C2semidirect
6. #21430582C2semidirect
7. #21430572C2semidirect
8. #21430570C2semidirect
9. #21430404C2semidirect
10. #21430401C2semidirect
11. #21430400C2semidirect
12. #21430397C2semidirect
13. #21430388C2semidirect
14. #21430387C2semidirect
15. #21430386C2semidirect
16. #21430386C2semidirect
17. #21430337C2semidirect
18. #21430332C2semidirect
19. #21430329C2semidirect
20. #21429902C2semidirect
21. #21429835C2semidirect
22. #21429444C2semidirect
23. #21429441C2semidirect
24. #21427469C2semidirect
25. #21427467C2semidirect
26. #21427465C2semidirect
27. #21427463C2semidirect
28. #21427448C2semidirect
29. #21427447C2semidirect
30. #21426707C2semidirect
31. C59×#2671C2semidirect
37. C2×#14273722C22semidirect
38. C2×#14273720C22semidirect
39. C2×#14273713C22semidirect
40. C2×#14273713C22semidirect
41. C2×#14273712C22semidirect
43. C2×#14273707C22semidirect
44. C2×#14273706C22semidirect
46. C2×#14273702C22semidirect
48. C2×#14273701C22semidirect
49. C2×#14273701C22semidirect
50. C2×#14273701C22semidirect
54. C2×#14273700C22semidirect
55. C2×#14273700C22semidirect
56. C2×#14273700C22semidirect
57. C2×#14273700C22semidirect
58. C2×#14273700C22semidirect
61. C2×#14273699C22semidirect
62. C2×#14273699C22semidirect
63. C2×#14273699C22semidirect
65. C2×#14273698C22semidirect
66. C2×#14273698C22semidirect
81. #16837337C22semidirect
82. #16837336C22semidirect
83. #16837335C22semidirect
84. #16837333C22semidirect
85. #16837331C22semidirect
86. #16837330C22semidirect
87. #16837325C22semidirect
88. #16837325C22semidirect
89. #16837325C22semidirect
90. #16837325C22semidirect
91. #16837324C22semidirect
92. #16837324C22semidirect
93. #16837324C22semidirect
94. #16837324C22semidirect
95. #16837320C22semidirect
96. #16837319C22semidirect
97. #16837319C22semidirect
98. #16837319C22semidirect
99. #16837318C22semidirect
100. #16837318C22semidirect
101. #16837318C22semidirect
102. #16837318C22semidirect
103. #16837317C22semidirect
104. #16837317C22semidirect
105. #16837317C22semidirect
106. #16837317C22semidirect
107. #16837316C22semidirect
108. #16837315C22semidirect
109. #16837314C22semidirect
110. #16837312C22semidirect
111. #16837312C22semidirect
112. #16837311C22semidirect
113. #16837311C22semidirect
114. #16837311C22semidirect
115. #16837311C22semidirect
116. #16837310C22semidirect
117. #16837310C22semidirect
118. #16837310C22semidirect
119. #16837310C22semidirect
120. #16837310C22semidirect
121. #16837310C22semidirect
122. #16837310C22semidirect
123. #16837305C22semidirect
124. #16837303C22semidirect
125. #16837302C22semidirect
126. #16837302C22semidirect
127. #16837289C22semidirect
128. #16837287C22semidirect
129. #16837285C22semidirect
130. #16837283C22semidirect
131. #16837282C22semidirect
132. #16837281C22semidirect
133. #16837281C22semidirect
136. #16837280C22semidirect
137. #16837280C22semidirect
138. #16837280C22semidirect
139. #16837279C22semidirect
142. #16837278C22semidirect
143. #16837278C22semidirect
144. #16837278C22semidirect
145. #16837277C22semidirect
146. #16837277C22semidirect
147. #16837277C22semidirect
150. #16837276C22semidirect
151. #16837276C22semidirect
152. #16837276C22semidirect
153. #16837276C22semidirect
154. #16837276C22semidirect
155. #16837275C22semidirect
156. #16837275C22semidirect
157. #16837274C22semidirect
160. #16837273C22semidirect
161. #16837273C22semidirect
162. #16837273C22semidirect
165. #16837261C22semidirect
166. #16837260C22semidirect
169. #16837259C22semidirect
174. C2×#123×C59C22semidirect
176. C2×#121×C59C22semidirect
177. C2×#121×C59C22semidirect
178. C59×#399C22semidirect
179. C59×#398C22semidirect
180. C59×#394C22semidirect
181. C59×#394C22semidirect
182. C59×#394C22semidirect
183. C59×#392C22semidirect
184. C59×#386C22semidirect
185. C59×#386C22semidirect
186. C59×#385C22semidirect
187. C59×#385C22semidirect
188. C59×#380C22semidirect
343. C22⋊C4×D59D4semidirect
979. #2671D59semidirect
1017. C2×#123C2×D59semidirect
1045. C2×#121C2×D59semidirect
1046. C2×#121C2×D59semidirect
1061. #399C2×D59semidirect
1065. #398C2×D59semidirect
1089. #394C2×D59semidirect
1090. #394C2×D59semidirect
1091. #394C2×D59semidirect
1107. #392C2×D59semidirect
1130. #386C2×D59semidirect
1131. #386C2×D59semidirect
1150. #385C2×D59semidirect
1151. #385C2×D59semidirect
1159. #380C2×D59semidirect
1164. C59#36706semidirect

Maximal subgroups

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

subgroupindex
C2×#168379882
C2×#121×D592
#214323842
#214323772
#214305842
#214305822
#214305722
#214305702
#214304042
#214304012
#214304002
#214303972
#214303882
#214303872
#214303862
#214303372
#214303322
#214303292
#214299022
#214298352
#214294442
#214294412
#214274692
#214274672
#214274652
#214274632
#214274482
#214274472
#214267072
C59×#26712
#3670659