Finite Group Databasebeta

← #28795607

Subgroups — #28795607

Order 15104.

4170 conjugacy classes of subgroups.

The subgroup lattice has 2160 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837960C211yesmaximal, characteristic, complemented
2C2×#120×D59C211yesmaximal, characteristic, complemented
3#21432374C211yesmaximal, characteristic, complemented
4#21432372C211yesmaximal, characteristic, complemented
5#21430661C211yesmaximal, characteristic, complemented
6#21430659C211yesmaximal, characteristic, complemented
7#21430656C211yesmaximal, characteristic, complemented
8#21430654C211yesmaximal, characteristic, complemented
9#21430431C211yesmaximal, characteristic, complemented
10#21430430C211yesmaximal, characteristic, complemented
11#21430429C211yesmaximal, characteristic, complemented
12#21430429C211yesmaximal, characteristic, complemented
13#21430424C211yesmaximal, characteristic, complemented
14#21430423C211yesmaximal, characteristic, complemented
15#21430422C211yesmaximal, characteristic, complemented
16#21430421C211yesmaximal, characteristic, complemented
17#21430416C211yesmaximal, characteristic, complemented
18#21430415C211yesmaximal, characteristic, complemented
19#21430414C211yesmaximal, characteristic, complemented
20#21429870C211yesmaximal, characteristic, complemented
21#21429868C211yesmaximal, characteristic, complemented
22#21427480C211yesmaximal, characteristic, complemented
23#21427478C211yesmaximal, characteristic, complemented
24#21427476C211yesmaximal, characteristic, complemented
25#21427474C211yesmaximal, characteristic, complemented
26#21427422C211yesmaximal, characteristic, complemented
27#21427420C211yesmaximal, characteristic, complemented
28#21427405C211yesmaximal, characteristic, complemented
29#21427405C211yesmaximal, characteristic, complemented
30#21426675C211yesmaximal, characteristic, complemented
31C59×#2678C211yesmaximal, characteristic, complemented
32C25×D59C2211yescharacteristic, complemented
33C22×D4×D59C2211yescharacteristic
34C22×D4×D59C2211yescharacteristic
35C22×D4×D59C2211yescharacteristic
36C22×D4×D59C2211yescharacteristic, complemented
37#16837960—28no—
38C2×#14273712C2211yescharacteristic, complemented
39C2×#14273712C2211yescharacteristic, complemented
40C2×#14273711C2211yescharacteristic, complemented
41C2×#14273710C2211yescharacteristic, complemented
42C2×#14273709C2211yescharacteristic, complemented
43C2×#14273709C2211yescharacteristic, complemented
44C2×#14273708C2211yescharacteristic, complemented
45C2×#14273701C2211yescharacteristic, complemented
46C2×#14273699C2211yescharacteristic, complemented
47C2×#14273699C2211yescharacteristic, complemented
48C2×#14273697C2211yescharacteristic
49C2×#14273697C2211yescharacteristic
50C2×#14273697C2211yescharacteristic
51C2×#14273697C2211yescharacteristic
52C2×#14273697C2211yescharacteristic
53C2×#14273697C2211yescharacteristic
54C2×#14273697C2211yescharacteristic, complemented
55C2×#14273697C2211yescharacteristic, complemented
56C2×#14273697C2211yescharacteristic, complemented
57C2×#14273697C2211yescharacteristic, complemented
58C2×#14273697C2211yescharacteristic, complemented
59C2×#14273697C2211yescharacteristic, complemented
60C2×#14273696C2211yescharacteristic
61C2×#14273696C2211yescharacteristic, complemented
62C2×#14273695C2211yescharacteristic
63C2×#14273695C2211yescharacteristic
64C2×#14273695C2211yescharacteristic
65C2×#14273695C2211yescharacteristic, complemented
66C2×#14273695C2211yescharacteristic, complemented
67C2×#14273695C2211yescharacteristic, complemented
68C2×#14273695C2211yescharacteristic, complemented
69C2×#14273695C2211yescharacteristic, complemented
70C2×#14273695C2211yescharacteristic, complemented
71C2×#14273695C2211yescharacteristic, complemented
72C2×#14273695C2211yescharacteristic, complemented
73C2×#14273695C2211yescharacteristic, complemented
74#120×D59—28no—
75C2×#14273685C2211yescharacteristic, complemented
76C2×#14273684C2211yescharacteristic, complemented
77C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
78C2×C22⋊C4×D59C2211yescharacteristic, complemented
79C2×C22⋊C4×D59C2211yescharacteristic, complemented
80C2×C22⋊C4×D59C2211yescharacteristic, complemented
81#16837331C2211yescharacteristic, complemented
82#16837331C2211yescharacteristic, complemented
83#16837330C2211yescharacteristic, complemented
84#16837330C2211yescharacteristic, complemented
85#16837329C2211yescharacteristic, complemented
86#16837328C2211yescharacteristic, complemented
87#16837327C2211yescharacteristic, complemented
88#16837326C2211yescharacteristic, complemented
89#16837325C2211yescharacteristic, complemented
90#16837325C2211yescharacteristic, complemented
91#16837325C2211yescharacteristic, complemented
92#16837324C2211yescharacteristic, complemented
93#16837324C2211yescharacteristic, complemented
94#16837324C2211yescharacteristic, complemented
95#16837320C2211yescharacteristic, complemented
96#16837320C2211yescharacteristic, complemented
97#16837320C2211yescharacteristic, complemented
98#16837320C2211yescharacteristic, complemented
99#16837319C2211yescharacteristic, complemented
100#16837319C2211yescharacteristic, complemented
101#16837319C2211yescharacteristic, complemented
102#16837319C2211yescharacteristic, complemented
103#16837318C2211yescharacteristic, complemented
104#16837318C2211yescharacteristic, complemented
105#16837318C2211yescharacteristic, complemented
106#16837318C2211yescharacteristic, complemented
107#16837318C2211yescharacteristic, complemented
108#16837318C2211yescharacteristic, complemented
109#16837317C2211yescharacteristic, complemented
110#16837317C2211yescharacteristic, complemented
111#16837317C2211yescharacteristic, complemented
112#16837317C2211yescharacteristic, complemented
113#16837317C2211yescharacteristic, complemented
114#16837317C2211yescharacteristic, complemented
115#16837316C2211yescharacteristic, complemented
116#16837316C2211yescharacteristic, complemented
117#16837311C2211yescharacteristic, complemented
118#16837311C2211yescharacteristic, complemented
119#16837310C2211yescharacteristic, complemented
120#16837310C2211yescharacteristic, complemented
121#16837310C2211yescharacteristic, complemented
122#16837310C2211yescharacteristic, complemented
123#16837305C2211yescharacteristic, complemented
124#16837305C2211yescharacteristic, complemented
125#16837304C2211yescharacteristic, complemented
126#16837304C2211yescharacteristic, complemented
127#16837303C2211yescharacteristic, complemented
128#16837303C2211yescharacteristic, complemented
129#16837302C2211yescharacteristic, complemented
130#16837302C2211yescharacteristic, complemented
131#16837302C2211yescharacteristic, complemented
132#16837302C2211yescharacteristic, complemented
133#16837302C2211yescharacteristic, complemented
134#16837302C2211yescharacteristic, complemented
135#16837302C2211yescharacteristic, complemented
136#16837302C2211yescharacteristic, complemented
137#16837296C2211yescharacteristic, complemented
138#16837295C2211yescharacteristic, complemented
139#16837294C2211yescharacteristic, complemented
140#16837293C2211yescharacteristic, complemented
141#16837292C2211yescharacteristic, complemented
142#16837291C2211yescharacteristic, complemented
143#16837290C2211yescharacteristic, complemented
144#16837282C2211yescharacteristic, complemented
145#16837281C2211yescharacteristic, complemented
146#16837280C2211yescharacteristic, complemented
147#16837280C2211yescharacteristic, complemented
148#16837280C2211yescharacteristic, complemented
149#16837280C2211yescharacteristic, complemented
150#16837279C2211yescharacteristic, complemented
151#16837278C2211yescharacteristic, complemented
152#16837278C2211yescharacteristic, complemented
153#16837278C2211yescharacteristic, complemented
154#16837278C2211yescharacteristic, complemented
155#16837276C2211yescharacteristic, complemented
156#16837276C2211yescharacteristic, complemented
157#16837273C2211yescharacteristic, complemented
158#16837273C2211yescharacteristic, complemented
159#16837258C2211yescharacteristic, complemented
160#16837257C2211yescharacteristic, complemented
161#16837257C2211yescharacteristic, complemented
162#16837257C2211yescharacteristic, complemented
163#16837257C2211yescharacteristic, complemented
164#16837257C2211yescharacteristic, complemented
165#16837257C2211yescharacteristic, complemented
166#16837257C2211yescharacteristic, complemented
167#16837257C2211yescharacteristic, complemented
168#16837257C2211yescharacteristic, complemented
169#16837257C2211yescharacteristic, complemented
170#16837257C2211yescharacteristic, complemented
171#16837257C2211yescharacteristic, complemented
172#16837257C2211yescharacteristic, complemented
173#16837257C2211yescharacteristic, complemented
174C2×#123×C59C2211yescharacteristic, complemented
175C2×#121×C59C2211yescharacteristic, complemented
176C2×#120×C59C2211yescharacteristic, complemented
177C2×#120×C59C2211yescharacteristic, complemented
178C59×#397C2211yescharacteristic, complemented
179C59×#396C2211yescharacteristic, complemented
180C59×#394C2211yescharacteristic, complemented
181C59×#394C2211yescharacteristic, complemented
182C59×#392C2211yescharacteristic, complemented
183C59×#392C2211yescharacteristic, complemented
184C59×#390C2211yescharacteristic, complemented
185C59×#390C2211yescharacteristic, complemented
186C59×#388C2211yescharacteristic, complemented
187C59×#386C2211yescharacteristic, complemented
188C59×#379C2211yescharacteristic, complemented
189C24×D59—24no—
190C24×D59—42no—
191C24×D59—42no—
192C24×D59—42no—
193C24×D59—42no—
194C24×D59—42no—
195C24×D59—42no—
196C24×D59C2311yescharacteristic
197C24×D59C2311yescharacteristic
198C24×D59C2311yescharacteristic
199C24×D59C2311yescharacteristic
200C24×D59C2311yescharacteristic
201C24×D59C2311yescharacteristic
202C24×D59C2311yescharacteristic
203C24×D59C2311yescharacteristic, complemented
204C22×D236C2311yescharacteristic
205C22×D236C2311yescharacteristic
206C22×D236C2311yescharacteristic
207C22×D236C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×D236C2311yescharacteristic
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
224C22×C22⋊D59C2311yescharacteristic, complemented
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—
236C2×D4×D59D418yescomplemented
237C23×Dic59C2311yescharacteristic, complemented
238C22×C4×D59C2311yescharacteristic
239C22×C4×D59C2311yescharacteristic
240C22×C4×D59C2311yescharacteristic
241C22×C4×D59C2311yescharacteristic, complemented
242#14273712—24no—
243#14273712—24no—
244#14273711—42no—
245#14273710—42no—
246#14273709—24no—
247#14273709—24no—
248#14273708—42no—
249#14273701—24no—
250#14273699—24no—
251#14273699—24no—
252#14273697—24no—
253#14273697—24no—
254#14273697—24no—
255#14273697—24no—
256#14273697—24no—
257#14273697—42no—
258#14273697—42no—
259#14273697—42no—
260#14273697—42no—
261#14273697—42no—
262#14273697—42no—
263#14273697—42no—
264#14273696—24no—
265#14273696—42no—
266#14273695—24no—
267#14273695—24no—
268#14273695—24no—
269#14273695—24no—
270#14273695—24no—
271#14273695—42no—
272#14273695—42no—
273#14273695—42no—
274#14273695—42no—
275#14273695—42no—
276#14273695—42no—
277#14273695—42no—
278#14273685—42no—
279#14273684—42no—
280C2×C4⋊Dic59C2311yescharacteristic, complemented
281C2×C4⋊Dic59C2311yescharacteristic, complemented
282C2×C4⋊Dic59C2311yescharacteristic, complemented
283C2×C4⋊Dic59C2311yescharacteristic, complemented
284C2×Dic59⋊C4C2311yescharacteristic, complemented
285C2×Dic59⋊C4C2311yescharacteristic, complemented
286C2×Dic59⋊C4C2311yescharacteristic, complemented
287C2×Dic59⋊C4C2311yescharacteristic, complemented
288C2×Dic59⋊C4C2311yescharacteristic, complemented
289C2×Dic59⋊C4C2311yescharacteristic, complemented
290C2×Dic59⋊C4C2311yescharacteristic, complemented
291C2×Dic59⋊C4C2311yescharacteristic, complemented
292C2×C22⋊Dic59C2311yescharacteristic
293C2×C22⋊Dic59C2311yescharacteristic
294C2×C22⋊Dic59C2311yescharacteristic
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, complemented
305C2×C22⋊Dic59C2311yescharacteristic, complemented
306C2×C22⋊Dic59C2311yescharacteristic, complemented
307C2×C22⋊Dic59C2311yescharacteristic, complemented
308C2×C22⋊Dic59C2311yescharacteristic, complemented
309C2×(C2×D59)⋊C4—24no—
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, complemented
341C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
342C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
343C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
344C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
345C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
346C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
347C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
348C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
349C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
350C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
351C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
352C22⋊C4×D59—24no—
353C22⋊C4×D59—24no—
354C22⋊C4×D59—24no—
355C2×C4×Dic59C2311yescharacteristic, complemented
356C2×C4×Dic59C2311yescharacteristic, complemented
357C2×C4×Dic59C2311yescharacteristic, complemented
358C59⋊#95C2311yescharacteristic, complemented
359C59⋊#95C2311yescharacteristic, complemented
360C59⋊#95C2311yescharacteristic, complemented
361C59⋊#95C2311yescharacteristic, complemented
362C59⋊#95C2311yescharacteristic, complemented
363C59⋊#95C2311yescharacteristic, complemented
364C59⋊#95C2311yescharacteristic, complemented
365C59⋊#95C2311yescharacteristic, complemented
366C59⋊#95C2311yescharacteristic, complemented
367C59⋊#95C2311yescharacteristic, complemented
368C59⋊#95C2311yescharacteristic, complemented
369C59⋊#95C2311yescharacteristic, complemented
370C25×C59C2311yescharacteristic
371C22×D4×C59C2311yescharacteristic
372C22×D4×C59C2311yescharacteristic
373C22×D4×C59C2311yescharacteristic
374C22×D4×C59C2311yescharacteristic
375C22×D4×C59C2311yescharacteristic
376C22×D4×C59C2311yescharacteristic
377C22×D4×C59C2311yescharacteristic, complemented
378C23×C4×C59C2311yescharacteristic, complemented
379#123×C59—42no—
380#121×C59—24no—
381#120×C59—24no—
382#120×C59—42no—
383C2×C4⋊C4×C59C2311yescharacteristic, complemented
384C2×C4⋊C4×C59C2311yescharacteristic, complemented
385C2×C4⋊C4×C59C2311yescharacteristic, complemented
386C2×C4⋊C4×C59C2311yescharacteristic, complemented
387C2×C22⋊C4×C59C2311yescharacteristic
388C2×C22⋊C4×C59C2311yescharacteristic
389C2×C22⋊C4×C59C2311yescharacteristic
390C2×C22⋊C4×C59C2311yescharacteristic
391C2×C22⋊C4×C59C2311yescharacteristic
392C2×C22⋊C4×C59C2311yescharacteristic
393C2×C22⋊C4×C59C2311yescharacteristic
394C2×C22⋊C4×C59C2311yescharacteristic
395C2×C22⋊C4×C59C2311yescharacteristic
396C2×C22⋊C4×C59C2311yescharacteristic
397C2×C22⋊C4×C59C2311yescharacteristic
398C2×C22⋊C4×C59C2311yescharacteristic
399C2×C22⋊C4×C59C2311yescharacteristic, complemented
400C2×C22⋊C4×C59C2311yescharacteristic, complemented
401C2×C22⋊C4×C59C2311yescharacteristic, complemented
402C2×C22⋊C4×C59C2311yescharacteristic, complemented
403C2×C22⋊C4×C59C2311yescharacteristic, complemented
404C2×C42×C59C2311yescharacteristic, complemented
405#95×C59C2311yescharacteristic, complemented
406#95×C59C2311yescharacteristic, complemented
407#95×C59C2311yescharacteristic, complemented
408#95×C59C2311yescharacteristic, complemented
409C24×C59—22no—
410C24×C59—22no—
411C24×C59—22no—
412C24×C59—41no—
413C24×C59—41no—
414C24×C59—41no—
415C24×C59—41no—
416C24×C59C2411yescharacteristic
417C24×C59C2411yescharacteristic
418C24×C59C2411yescharacteristic
419C24×C59C2411yescharacteristic
420C24×C59C2411yescharacteristic
421C23×D59—22no—
422C23×D59—22no—
423C23×D59—22no—
424C23×D59—22no—
425C23×D59—22no—
426C23×D59—22no—
427C23×D59—22no—
428C23×D59—22no—
429C23×D59—22no—
430C23×D59—22no—
431C23×D59—22no—
432C23×D59—22no—
433C23×D59—22no—
434C23×D59—22no—
435C23×D59—22no—
436C23×D59—22no—
437C23×D59—22no—
438C23×D59—22no—
439C23×D59—22no—
440C23×D59—22no—
441C23×D59—22no—
442C23×D59—22no—
443C23×D59—22no—
444C23×D59—22no—
445C23×D59—41no—
446C23×D59—41no—
447C23×D59—41no—
448C23×D59—41no—
449C23×D59—41no—
450C23×D59—41no—
451C23×D59—41no—
452C23×D59—41no—
453C23×D59—41no—
454C23×D59—41no—
455C23×D59—41no—
456C23×D59—41no—
457C23×D59—41no—
458C23×D59—41no—
459C23×D59—41no—
460C23×D59—41no—
461C23×D59—41no—
462C23×D59—41no—
463C23×D59—41no—
464C23×D59—41no—
465C23×D59—41no—
466C23×D59—41no—
467C23×D59—41no—
468C23×D59—41no—
469C23×D59—41no—
470C23×D59—41no—
471C23×D59—41no—
472C23×D59—41no—
473C23×D59—41no—
474C23×D59—41no—
475C23×D59—416no—
476C23×D59—416no—
477C23×D59—416no—
478C23×D59—416no—
479C23×D59—416no—
480C23×D59—416no—
481C23×D59—416no—
482C23×D59C2×D414yes—
483C23×D59C2×D414yes—
484C23×D59C2411yescharacteristic
485C23×D59C2411yescharacteristic
486C23×D59C2411yescharacteristic
487C23×D59C2411yescharacteristic
488C23×D59C2411yescharacteristic
489C23×D59C2411yescharacteristic
490C2×D4×C59—22no—
491C2×D4×C59—22no—
492C2×D4×C59—22no—
493C2×D4×C59—22no—
494C2×D4×C59—22no—
495C2×D4×C59—22no—
496C2×D4×C59—22no—
497C2×D4×C59—22no—
498C2×D4×C59—41no—
499C2×D4×C59—41no—
500C2×D4×C59—41no—
501C2×D4×C59—41no—
502C2×D4×C59—41no—
503C2×D4×C59—41no—
504C2×D4×C59—41no—
505C2×D4×C59—41no—
506C2×D4×C59—41no—
507C2×D4×C59—41no—
508C2×D4×C59—41no—
509C2×D4×C59—41no—
510C2×D4×C59C2×D414yes—
511C22×C4×C59—22no—
512C22×C4×C59—41no—
513C22×C4×C59—41no—
514C22×C4×C59C2411yescharacteristic
515C22×C4×C59C2411yescharacteristic
516C22×C4×C59C2411yescharacteristic
517C22×C4×C59C2411yescharacteristic
518C22×C4×C59C2411yescharacteristic
519C22×C4×C59C2411yescharacteristic
520C22×C4×C59C2411yescharacteristic
521C22×C4×C59C2411yescharacteristic
522C22×C4×C59C2411yescharacteristic
523C22×C4×C59C2411yescharacteristic
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—22no—
534C2×C22⋊D59—22no—
535C2×C22⋊D59—22no—
536C2×C22⋊D59—22no—
537C2×C22⋊D59—22no—
538C2×C22⋊D59—22no—
539C2×C22⋊D59—22no—
540C2×C22⋊D59—22no—
541C2×C22⋊D59—22no—
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⋊D59C2×D414yes—
565C2×C22⋊D59C2×D414yes—
566C22×Dic59—22no—
567C22×Dic59—41no—
568C22×Dic59—41no—
569C22×Dic59C2411yescharacteristic
570C22×Dic59C2411yescharacteristic
571C22×Dic59C2411yescharacteristic
572C22×Dic59C2411yescharacteristic
573C22×Dic59C2411yescharacteristic
574C22×Dic59C2411yescharacteristic
575C22×Dic59C2411yescharacteristic
576C22×Dic59C2411yescharacteristic
577C22×Dic59C2411yescharacteristic
578C22×Dic59C2411yescharacteristic
579D4×D59—416no—
580D4×D59—416no—
581D4×D59—416no—
582D4×D59—416no—
583C2×D236—22no—
584C2×D236—22no—
585C2×D236—22no—
586C2×D236—22no—
587C2×D236—22no—
588C2×D236—22no—
589C2×D236—22no—
590C2×D236—22no—
591C2×D236—22no—
592C2×D236—22no—
593C2×D236—41no—
594C2×D236—41no—
595C2×D236—41no—
596C2×D236—41no—
597C2×D236—41no—
598C2×D236—41no—
599C2×D236—41no—
600C2×D236—41no—
601C2×D236—41no—
602C2×D236—41no—
603C2×D236C2×D414yes—
604C2×C4×D59—22no—
605C2×C4×D59—22no—
606C2×C4×D59—22no—
607C2×C4×D59—22no—
608C2×C4×D59—22no—
609C2×C4×D59—41no—
610C2×C4×D59—41no—
611C2×C4×D59—41no—
612C2×C4×D59—41no—
613C2×C4×D59—41no—
614C2×C4×D59—41no—
615C2×C4×D59C2×D414yes—
616C4⋊C4×C59—22no—
617C4⋊C4×C59—41no—
618C4⋊C4×C59—41no—
619C4⋊C4×C59—41no—
620C22⋊C4×C59—22no—
621C22⋊C4×C59—22no—
622C22⋊C4×C59—22no—
623C22⋊C4×C59—22no—
624C22⋊C4×C59—22no—
625C22⋊C4×C59—22no—
626C22⋊C4×C59—22no—
627C22⋊C4×C59—41no—
628C22⋊C4×C59—41no—
629C22⋊C4×C59—41no—
630C22⋊C4×C59—41no—
631C22⋊C4×C59—41no—
632C22⋊C4×C59—41no—
633C22⋊C4×C59—41no—
634C22⋊C4×C59—41no—
635C22⋊C4×C59—41no—
636C22⋊C4×C59—41no—
637C42×C59—41no—
638C22⋊Dic59—22no—
639C22⋊Dic59—22no—
640C22⋊Dic59—22no—
641C22⋊Dic59—22no—
642C22⋊Dic59—22no—
643C22⋊Dic59—22no—
644C22⋊Dic59—22no—
645C22⋊Dic59—41no—
646C22⋊Dic59—41no—
647C22⋊Dic59—41no—
648C22⋊Dic59—41no—
649C22⋊Dic59—41no—
650C22⋊Dic59—41no—
651C22⋊Dic59—41no—
652C22⋊Dic59—41no—
653C22⋊Dic59—41no—
654C22⋊Dic59—41no—
655(C2×D59)⋊C4—22no—
656(C2×D59)⋊C4—22no—
657(C2×D59)⋊C4—22no—
658(C2×D59)⋊C4—22no—
659(C2×D59)⋊C4—22no—
660(C2×D59)⋊C4—22no—
661(C2×D59)⋊C4—22no—
662(C2×D59)⋊C4—22no—
663(C2×D59)⋊C4—22no—
664(C2×D59)⋊C4—22no—
665(C2×D59)⋊C4—22no—
666(C2×D59)⋊C4—22no—
667(C2×D59)⋊C4—22no—
668(C2×D59)⋊C4—22no—
669(C2×D59)⋊C4—22no—
670(C2×D59)⋊C4—22no—
671(C2×D59)⋊C4—22no—
672(C2×D59)⋊C4—22no—
673(C2×D59)⋊C4—22no—
674(C2×D59)⋊C4—22no—
675(C2×D59)⋊C4—22no—
676(C2×D59)⋊C4—22no—
677(C2×D59)⋊C4—41no—
678(C2×D59)⋊C4—41no—
679(C2×D59)⋊C4—41no—
680(C2×D59)⋊C4—41no—
681(C2×D59)⋊C4—41no—
682(C2×D59)⋊C4—41no—
683(C2×D59)⋊C4—41no—
684(C2×D59)⋊C4—41no—
685(C2×D59)⋊C4—41no—
686(C2×D59)⋊C4—41no—
687(C2×D59)⋊C4—41no—
688(C2×D59)⋊C4—41no—
689(C2×D59)⋊C4—41no—
690(C2×D59)⋊C4—41no—
691(C2×D59)⋊C4—41no—
692(C2×D59)⋊C4—41no—
693(C2×D59)⋊C4—41no—
694(C2×D59)⋊C4—41no—
695(C2×D59)⋊C4—41no—
696(C2×D59)⋊C4—41no—
697C4⋊Dic59—22no—
698C4⋊Dic59—41no—
699C4⋊Dic59—41no—
700C4⋊Dic59—41no—
701Dic59⋊C4—22no—
702Dic59⋊C4—22no—
703Dic59⋊C4—41no—
704Dic59⋊C4—41no—
705Dic59⋊C4—41no—
706Dic59⋊C4—41no—
707Dic59⋊C4—41no—
708Dic59⋊C4—41no—
709C4×Dic59—41no—
710C4×Dic59—41no—
711C4×Dic59—41no—
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—44no—
744C23×C59—44no—
745C23×C59—44no—
746C23×C59—44no—
747C23×C59—44no—
748C23×C59—44no—
749C23×C59—44no—
750C23×C59C22×D412yes—
751C23×C59C22×D412yes—
752C23×C59H(5,𝔽2)12yes—
753C23×C59H(5,𝔽2)12yes—
754C23×C59C2511yescharacteristic
755C22×D59—21no—
756C22×D59—21no—
757C22×D59—21no—
758C22×D59—21no—
759C22×D59—28no—
760C22×D59—28no—
761C22×D59—21no—
762C22×D59—21no—
763C22×D59—21no—
764C22×D59—21no—
765C22×D59—21no—
766C22×D59—21no—
767C22×D59—21no—
768C22×D59—21no—
769C22×D59—21no—
770C22×D59—21no—
771C22×D59—21no—
772C22×D59—21no—
773C22×D59—21no—
774C22×D59—21no—
775C22×D59—21no—
776C22×D59—21no—
777C22×D59—21no—
778C22×D59—21no—
779C22×D59—21no—
780C22×D59—21no—
781C22×D59—21no—
782C22×D59—21no—
783C22×D59—21no—
784C22×D59—21no—
785C22×D59—28no—
786C22×D59—28no—
787C22×D59—21no—
788C22×D59—21no—
789C22×D59—21no—
790C22×D59—21no—
791C22×D59—21no—
792C22×D59—21no—
793C22×D59—21no—
794C22×D59—44no—
795C22×D59—44no—
796C22×D59—44no—
797C22×D59—44no—
798C22×D59—44no—
799C22×D59—44no—
800C22×D59—44no—
801C22×D59—44no—
802C22×D59—44no—
803C22×D59—44no—
804C22×D59—44no—
805C22×D59—44no—
806C22×D59—44no—
807C22×D59—44no—
808C22×D59—44no—
809C22×D59—44no—
810C22×D59—44no—
811C22×D59—44no—
812C22×D59—44no—
813C22×D59—44no—
814C22×D59—44no—
815C22×D59—44no—
816C22×D59—44no—
817C22×D59—44no—
818C22×D59—44no—
819C22×D59—44no—
820C22×D59—44no—
821C22×D59—44no—
822C22×D59—44no—
823C22×D59—44no—
824C22×D59—44no—
825C22×D59—44no—
826C22×D59—44no—
827C22×D59—44no—
828C22×D59—44no—
829C22×D59—44no—
830C22×D59—44no—
831C22×D59—4128no—
832C22×D59—44no—
833C22×D59—44no—
834C22×D59—44no—
835C22×D59—44no—
836C22×D59—44no—
837C22×D59—82no—
838C22×D59—82no—
839C22×D59—82no—
840C22×D59—82no—
841C22×D59—82no—
842C22×D59—82no—
843C22×D59—82no—
844C22×D59—82no—
845C22×D59—82no—
846C22×D59—82no—
847C22×D59C22×D412yes—
848C22×D59C22×D412yes—
849C22×D59C22×D412yes—
850C22×D59H(5,𝔽2)12yes—
851C22×D59H(5,𝔽2)12yes—
852C22×D59H(5,𝔽2)12yes—
853C22×D59H(5,𝔽2)12yes—
854D4×C59—44no—
855D4×C59—44no—
856D4×C59—44no—
857D4×C59—44no—
858D4×C59—82no—
859D4×C59—82no—
860D4×C59—82no—
861C2×C4×C59—21no—
862C2×C4×C59—21no—
863C2×C4×C59—21no—
864C2×C4×C59—21no—
865C2×C4×C59—21no—
866C2×C4×C59—21no—
867C2×C4×C59—21no—
868C2×C4×C59—21no—
869C2×C4×C59—21no—
870C2×C4×C59—21no—
871C2×C4×C59—21no—
872C2×C4×C59—21no—
873C2×C4×C59—21no—
874C2×C4×C59—21no—
875C2×C4×C59—21no—
876C2×C4×C59—21no—
877C2×C4×C59—21no—
878C2×C4×C59—21no—
879C2×C4×C59—21no—
880C2×C4×C59—21no—
881C2×C4×C59—21no—
882C2×C4×C59—21no—
883C2×C4×C59—21no—
884C2×C4×C59—21no—
885C2×C4×C59—21no—
886C2×C4×C59—21no—
887C2×C4×C59—21no—
888C2×C4×C59—21no—
889C2×C4×C59—21no—
890C2×C4×C59—82no—
891C2×C4×C59C22×D412yes—
892C22⋊D59—44no—
893C22⋊D59—44no—
894C22⋊D59—44no—
895C22⋊D59—44no—
896C22⋊D59—44no—
897C22⋊D59—44no—
898C22⋊D59—44no—
899C22⋊D59—44no—
900C22⋊D59—82no—
901C22⋊D59—82no—
902C22⋊D59—82no—
903C22⋊D59—82no—
904C22⋊D59—82no—
905C22⋊D59—82no—
906C2×Dic59—21no—
907C2×Dic59—21no—
908C2×Dic59—21no—
909C2×Dic59—21no—
910C2×Dic59—21no—
911C2×Dic59—21no—
912C2×Dic59—21no—
913C2×Dic59—21no—
914C2×Dic59—21no—
915C2×Dic59—21no—
916C2×Dic59—21no—
917C2×Dic59—21no—
918C2×Dic59—21no—
919C2×Dic59—21no—
920C2×Dic59—21no—
921C2×Dic59—21no—
922C2×Dic59—21no—
923C2×Dic59—21no—
924C2×Dic59—21no—
925C2×Dic59—21no—
926C2×Dic59—21no—
927C2×Dic59—21no—
928C2×Dic59—21no—
929C2×Dic59—21no—
930C2×Dic59—21no—
931C2×Dic59—21no—
932C2×Dic59—21no—
933C2×Dic59—21no—
934C2×Dic59—21no—
935C2×Dic59—82no—
936C2×Dic59C22×D412yes—
937D236—44no—
938D236—44no—
939D236—44no—
940D236—44no—
941D236—82no—
942D236—82no—
943D236—82no—
944C4×D59—28no—
945C4×D59—44no—
946C4×D59—44no—
947C4×D59—44no—
948#36714—591nomaximal, Sylow
949C22×C59—22no—
950C22×C59—22no—
951C22×C59—22no—
952C22×C59—22no—
953C22×C59—22no—
954C22×C59—22no—
955C22×C59—22no—
956C22×C59—22no—
957C22×C59—22no—
958C22×C59—22no—
959C22×C59—22no—
960C22×C59—22no—
961C22×C59—416no—
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—41no—
974C22×C59—41no—
975C22×C59—41no—
976C22×C59—41no—
977C22×C59—41no—
978C22×C59—41no—
979C22×C59—41no—
980C22×C59—41no—
981C22×C59—41no—
982C22×C59—41no—
983C22×C59—41no—
984C22×C59—41no—
985C22×C59C23×D411yescharacteristic
986C22×C59C2×H(5,𝔽2)11yescharacteristic
987C22×C59C2×H(5,𝔽2)11yescharacteristic
988C22×C59C2×H(5,𝔽2)11yescharacteristic
989C22×C59C2×H(5,𝔽2)11yescharacteristic
990C22×C59C2×H(5,𝔽2)11yescharacteristic
991C22×C59C2×H(5,𝔽2)11yescharacteristic
992C2×D59—22no—
993C2×D59—22no—
994C2×D59—22no—
995C2×D59—22no—
996C2×D59—22no—
997C2×D59—22no—
998C2×D59—22no—
999C2×D59—22no—
1000C2×D59—22no—
1001C2×D59—22no—
1002C2×D59—22no—
1003C2×D59—22no—
1004C2×D59—22no—
1005C2×D59—22no—
1006C2×D59—22no—
1007C2×D59—22no—
1008C2×D59—22no—
1009C2×D59—22no—
1010C2×D59—416no—
1011C2×D59—416no—
1012C2×D59—416no—
1013C2×D59—416no—
1014C2×D59—416no—
1015C2×D59—416no—
1016C2×D59—41no—
1017C2×D59—41no—
1018C2×D59—41no—
1019C2×D59—41no—
1020C2×D59—41no—
1021C2×D59—41no—
1022C2×D59—41no—
1023C2×D59—41no—
1024C2×D59—41no—
1025C2×D59—41no—
1026C2×D59—41no—
1027C2×D59—41no—
1028C2×D59—41no—
1029C2×D59—41no—
1030C2×D59—41no—
1031C2×D59—41no—
1032C2×D59—41no—
1033C2×D59—41no—
1034C2×D59—41no—
1035C2×D59—41no—
1036C2×D59—41no—
1037C2×D59—41no—
1038C2×D59—41no—
1039C2×D59—88no—
1040C2×D59—88no—
1041C2×D59#53414yes—
1042C4×C59—22no—
1043C4×C59—41no—
1044C4×C59—41no—
1045C4×C59—41no—
1046C4×C59—41no—
1047C4×C59—41no—
1048C4×C59—41no—
1049C4×C59—41no—
1050C4×C59—41no—
1051C4×C59—41no—
1052Dic59—22no—
1053Dic59—41no—
1054Dic59—41no—
1055Dic59—41no—
1056Dic59—41no—
1057Dic59—41no—
1058Dic59—41no—
1059Dic59—41no—
1060Dic59—41no—
1061Dic59—41no—
1062C2×#534—591no—
1063C22×#120—591no—
1064#2846—591no—
1065#2846—591no—
1066#2697—591no—
1067#2697—591no—
1068#2697—591no—
1069#2697—591no—
1070#2679—591no—
1071#2679—591no—
1072#2679—591no—
1073#2679—591no—
1074#2678—591no—
1075#2678—591no—
1076#2678—591no—
1077#2678—591no—
1078#2678—591no—
1079#2678—591no—
1080#2678—591no—
1081#2678D5911yescharacteristic, complemented
1082#2622—591no—
1083#2622—591no—
1084#2411—591no—
1085#2411—591no—
1086#2411—591no—
1087#2411—591no—
1088#2405—591no—
1089#2405—591no—
1090#2403—591no—
1091#2403—591no—
1092#2309—591no—
1093C2×C59—42no—
1094C2×C59—42no—
1095C2×C59—42no—
1096C2×C59—42no—
1097C2×C59—81no—
1098C2×C59C2×#53411yescharacteristic
1099C2×C59#348411yescharacteristic
1100C2×C59#348411yescharacteristic
1101C2×C59#353211yescharacteristic
1102C2×C59#353211yescharacteristic
1103C2×C59#353211yescharacteristic
1104C2×C59#353211yescharacteristic
1105D59—24no—
1106D59—42no—
1107D59—42no—
1108D59—42no—
1109D59—42no—
1110D59—81no—
1111C26—591no—
1112C23×D4—591no—
1113C23×D4—591no—
1114C23×D4—591no—
1115C23×D4—591no—
1116#534—1188no—
1117C2×#123—591no—
1118C2×#123—591no—
1119C2×#123—591no—
1120C2×#123—591no—
1121C2×#123—591no—
1122C2×#123—591no—
1123C2×#123—591no—
1124C2×#123C2×D5911yescharacteristic, complemented
1125C2×#121—591no—
1126C2×#121—591no—
1127C2×#121—591no—
1128C2×#121C2×D5911yescharacteristic, complemented
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×#120—591no—
1139C2×#120—591no—
1140C2×#120—591no—
1141C2×#120—591no—
1142C2×#120—591no—
1143C2×#120—591no—
1144C2×#120—591no—
1145C2×#120—591no—
1146C2×#120—591no—
1147C2×#120—591no—
1148C2×#120—591no—
1149C2×#120—591no—
1150C2×#120—591no—
1151C2×#120—591no—
1152C2×#120—591no—
1153C2×#120—591no—
1154C2×#120—591no—
1155C2×#120—1188no—
1156C2×#120C2×D5911yescharacteristic, complemented
1157C2×#120C2×D5911yescharacteristic, complemented
1158C2×#117—591no—
1159C2×#117—591no—
1160C22×C22⋊C4—591no—
1161C22×C22⋊C4—591no—
1162C22×C22⋊C4—591no—
1163C22×C22⋊C4—591no—
1164#397—591no—
1165#397—591no—
1166#397—591no—
1167#397—591no—
1168#397—591no—
1169#397—591no—
1170#397—591no—
1171#397C2×D5911yescharacteristic, complemented
1172#396—591no—
1173#396—591no—
1174#396—591no—
1175#396—591no—
1176#396—591no—
1177#396—591no—
1178#396—591no—
1179#396C2×D5911yescharacteristic, complemented
1180#394—591no—
1181#394—591no—
1182#394—591no—
1183#394—591no—
1184#394—591no—
1185#394—591no—
1186#394—591no—
1187#394—591no—
1188#394—591no—
1189#394—591no—
1190#394—591no—
1191#394—591no—
1192#394—591no—
1193#394—591no—
1194#394—591no—
1195#394—591no—
1196#394—591no—
1197#394—591no—
1198#394—591no—
1199#394—591no—
1200#394—591no—
1201#394—591no—
1202#394C2×D5911yescharacteristic, complemented
1203#394C2×D5911yescharacteristic, complemented
1204#392—591no—
1205#392—591no—
1206#392—591no—
1207#392—591no—
1208#392—591no—
1209#392—591no—
1210#392C2×D5911yescharacteristic, complemented
1211#392C2×D5911yescharacteristic, complemented
1212#390—591no—
1213#390—591no—
1214#390—591no—
1215#390—591no—
1216#390—591no—
1217#390—591no—
1218#390—591no—
1219#390—591no—
1220#390—591no—
1221#390—591no—
1222#390—591no—
1223#390—591no—
1224#390—591no—
1225#390—591no—
1226#390C2×D5911yescharacteristic, complemented
1227#390C2×D5911yescharacteristic, complemented
1228#388—591no—
1229#388—591no—
1230#388—591no—
1231#388—591no—
1232#388—591no—
1233#388—591no—
1234#388—591no—
1235#388C2×D5911yescharacteristic, complemented
1236#386—591no—
1237#386—591no—
1238#386—591no—
1239#386—591no—
1240#386—591no—
1241#386—591no—
1242#386—591no—
1243#386—591no—
1244#386—591no—
1245#386—591no—
1246#386—591no—
1247#386C2×D5911yescharacteristic, complemented
1248#385—591no—
1249#385—591no—
1250#385—591no—
1251#385—591no—
1252#379—591no—
1253#379—591no—
1254#379—591no—
1255#379—591no—
1256#379—591no—
1257#379—591no—
1258#379—591no—
1259#379—591no—
1260#379—591no—
1261#379—591no—
1262#379—591no—
1263#379—591no—
1264#379—591no—
1265#379—591no—
1266#379—591no—
1267#379C2×D5911yescharacteristic, complemented
1268C59#3671411yescharacteristic, complemented, Sylow
1269C25—591no—
1270C25—591no—
1271C25—591no—
1272C25—591no—
1273C25—591no—
1274C25—591no—
1275C25—591no—
1276C25—591no—
1277C25—1184no—
1278C25—2362no—
1279C25—2362no—
1280C25—2362no—
1281C25—2362no—
1282C25—2362no—
1283C25—2362no—
1284C25C22×D5911yescharacteristic
1285C22×D4—591no—
1286C22×D4—591no—
1287C22×D4—598no—
1288C22×D4—591no—
1289C22×D4—591no—
1290C22×D4—591no—
1291C22×D4—591no—
1292C22×D4—591no—
1293C22×D4—591no—
1294C22×D4—591no—
1295C22×D4—591no—
1296C22×D4—591no—
1297C22×D4—591no—
1298C22×D4—591no—
1299C22×D4—591no—
1300C22×D4—591no—
1301C22×D4—591no—
1302C22×D4—591no—
1303C22×D4—591no—
1304C22×D4—591no—
1305C22×D4—591no—
1306C22×D4—591no—
1307C22×D4—1184no—
1308C22×D4—1184no—
1309C22×D4—1184no—
1310C22×D4—2362no—
1311C22×D4—2362no—
1312C22×D4—2362no—
1313C22×D4—2362no—
1314C22×D4—2362no—
1315C22×D4—2362no—
1316C22×D4—2362no—
1317C22×D4—2362no—
1318C22×D4C22×D5911yescharacteristic
1319C22×D4C22×D5911yescharacteristic
1320C22×D4C22×D5911yescharacteristic
1321C22×D4C22×D5911yescharacteristic
1322C22×D4C22×D5911yescharacteristic
1323C22×D4C22×D5911yescharacteristic
1324C22×D4C22×D5911yescharacteristic, complemented
1325C23×C4—591no—
1326C23×C4—591no—
1327C23×C4—591no—
1328C23×C4—591no—
1329C23×C4—591no—
1330C23×C4C22×D5911yescharacteristic, complemented
1331#123—42no—
1332#123—1184no—
1333#123—1184no—
1334#123—1184no—
1335#123—1184no—
1336#123—2362no—
1337#123—2362no—
1338#123—2362no—
1339#121—24no—
1340#121—1184no—
1341#121—1184no—
1342#121—1184no—
1343#120—24no—
1344#120—42no—
1345#120—1184no—
1346#120—1184no—
1347#120—1184no—
1348#120—1184no—
1349#120—1184no—
1350#120—1184no—
1351#120—1184no—
1352#120—1184no—
1353#120—1184no—
1354#120—1184no—
1355#120—1184no—
1356#120—2362no—
1357#120—2362no—
1358#120—2362no—
1359#120—2362no—
1360#120—2362no—
1361#120—2362no—
1362#120—2362no—
1363#120—2362no—
1364#120—2362no—
1365#120—2362no—
1366#120—2362no—
1367#120—2362no—
1368#120—2362no—
1369#120—2362no—
1370#120—2362no—
1371#117—2362no—
1372#117—2362no—
1373C2×C4⋊C4—591no—
1374C2×C4⋊C4—591no—
1375C2×C4⋊C4—591no—
1376C2×C4⋊C4—591no—
1377C2×C4⋊C4—591no—
1378C2×C4⋊C4—591no—
1379C2×C4⋊C4—591no—
1380C2×C4⋊C4—591no—
1381C2×C4⋊C4—591no—
1382C2×C4⋊C4—591no—
1383C2×C4⋊C4—591no—
1384C2×C4⋊C4—591no—
1385C2×C4⋊C4C22×D5911yescharacteristic, complemented
1386C2×C4⋊C4C22×D5911yescharacteristic, complemented
1387C2×C4⋊C4C22×D5911yescharacteristic, complemented
1388C2×C4⋊C4C22×D5911yescharacteristic, complemented
1389C2×C22⋊C4—591no—
1390C2×C22⋊C4—591no—
1391C2×C22⋊C4—591no—
1392C2×C22⋊C4—591no—
1393C2×C22⋊C4—591no—
1394C2×C22⋊C4—591no—
1395C2×C22⋊C4—591no—
1396C2×C22⋊C4—591no—
1397C2×C22⋊C4—591no—
1398C2×C22⋊C4—591no—
1399C2×C22⋊C4—591no—
1400C2×C22⋊C4—591no—
1401C2×C22⋊C4—591no—
1402C2×C22⋊C4—591no—
1403C2×C22⋊C4—591no—
1404C2×C22⋊C4—591no—
1405C2×C22⋊C4—591no—
1406C2×C22⋊C4—591no—
1407C2×C22⋊C4—591no—
1408C2×C22⋊C4—591no—
1409C2×C22⋊C4—591no—
1410C2×C22⋊C4—591no—
1411C2×C22⋊C4—591no—
1412C2×C22⋊C4—591no—
1413C2×C22⋊C4—591no—
1414C2×C22⋊C4—591no—
1415C2×C22⋊C4—591no—
1416C2×C22⋊C4—591no—
1417C2×C22⋊C4—591no—
1418C2×C22⋊C4—591no—
1419C2×C22⋊C4—591no—
1420C2×C22⋊C4—591no—
1421C2×C22⋊C4—591no—
1422C2×C22⋊C4—591no—
1423C2×C22⋊C4—591no—
1424C2×C22⋊C4—591no—
1425C2×C22⋊C4—591no—
1426C2×C22⋊C4—591no—
1427C2×C22⋊C4—591no—
1428C2×C22⋊C4—591no—
1429C2×C22⋊C4—591no—
1430C2×C22⋊C4—591no—
1431C2×C22⋊C4—591no—
1432C2×C22⋊C4—591no—
1433C2×C22⋊C4—591no—
1434C2×C22⋊C4—591no—
1435C2×C22⋊C4—591no—
1436C2×C22⋊C4—591no—
1437C2×C22⋊C4—591no—
1438C2×C22⋊C4—591no—
1439C2×C22⋊C4—591no—
1440C2×C22⋊C4—591no—
1441C2×C22⋊C4—591no—
1442C2×C22⋊C4—591no—
1443C2×C22⋊C4—591no—
1444C2×C22⋊C4—591no—
1445C2×C22⋊C4—591no—
1446C2×C22⋊C4—591no—
1447C2×C22⋊C4—591no—
1448C2×C22⋊C4—1184no—
1449C2×C22⋊C4—1184no—
1450C2×C22⋊C4—1184no—
1451C2×C22⋊C4—1184no—
1452C2×C22⋊C4C22×D5911yescharacteristic
1453C2×C22⋊C4C22×D5911yescharacteristic
1454C2×C22⋊C4C22×D5911yescharacteristic
1455C2×C22⋊C4C22×D5911yescharacteristic
1456C2×C22⋊C4C22×D5911yescharacteristic
1457C2×C22⋊C4C22×D5911yescharacteristic
1458C2×C22⋊C4C22×D5911yescharacteristic
1459C2×C22⋊C4C22×D5911yescharacteristic
1460C2×C22⋊C4C22×D5911yescharacteristic
1461C2×C22⋊C4C22×D5911yescharacteristic
1462C2×C22⋊C4C22×D5911yescharacteristic
1463C2×C22⋊C4C22×D5911yescharacteristic
1464C2×C22⋊C4C22×D5911yescharacteristic, complemented
1465C2×C22⋊C4C22×D5911yescharacteristic, complemented
1466C2×C22⋊C4C22×D5911yescharacteristic, complemented
1467C2×C22⋊C4C22×D5911yescharacteristic, complemented
1468C2×C22⋊C4C22×D5911yescharacteristic, complemented
1469C2×C42—591no—
1470C2×C42—591no—
1471C2×C42—591no—
1472C2×C42C22×D5911yescharacteristic, complemented
1473#95—591no—
1474#95—591no—
1475#95—591no—
1476#95—591no—
1477#95—591no—
1478#95—591no—
1479#95—591no—
1480#95—591no—
1481#95—591no—
1482#95—591no—
1483#95—591no—
1484#95—591no—
1485#95C22×D5911yescharacteristic, complemented
1486#95C22×D5911yescharacteristic, complemented
1487#95C22×D5911yescharacteristic, complemented
1488#95C22×D5911yescharacteristic, complemented
1489C24—22no—
1490C24—22no—
1491C24—22no—
1492C24—41no—
1493C24—41no—
1494C24—41no—
1495C24—41no—
1496C24—591no—
1497C24—591no—
1498C24—591no—
1499C24—591no—
1500C24—591no—
1501C24—594no—
1502C24—594no—
1503C24—591no—
1504C24—1182no—
1505C24—1182no—
1506C24—1182no—
1507C24—1182no—
1508C24—1182no—
1509C24—1182no—
1510C24—1182no—
1511C24—1182no—
1512C24—1182no—
1513C24—1182no—
1514C24—1182no—
1515C24—1182no—
1516C24—1182no—
1517C24—1182no—
1518C24—1182no—
1519C24—1182no—
1520C24—1182no—
1521C24—1182no—
1522C24—1182no—
1523C24—1182no—
1524C24—1182no—
1525C24—1182no—
1526C24—1182no—
1527C24—1182no—
1528C24—2361no—
1529C24—2361no—
1530C24—2361no—
1531C24—2361no—
1532C24—2361no—
1533C24—2361no—
1534C24—2361no—
1535C24—2361no—
1536C24—2361no—
1537C24—2361no—
1538C24—2361no—
1539C24—2361no—
1540C24—2361no—
1541C24—2361no—
1542C24—2361no—
1543C24—2361no—
1544C24—2361no—
1545C24—2361no—
1546C24—2361no—
1547C24—2361no—
1548C24—2361no—
1549C24—2361no—
1550C24—2361no—
1551C24—2361no—
1552C24—2361no—
1553C24—2361no—
1554C24—2361no—
1555C24—2361no—
1556C24—2361no—
1557C24—2361no—
1558C24—23616no—
1559C24—23616no—
1560C24—23616no—
1561C24—23616no—
1562C24—23616no—
1563C24—23616no—
1564C24—23616no—
1565C24C23×D5911yescharacteristic
1566C24C23×D5911yescharacteristic
1567C24C23×D5911yescharacteristic
1568C24C23×D5911yescharacteristic
1569C24C23×D5911yescharacteristic
1570C2×D4—22no—
1571C2×D4—22no—
1572C2×D4—22no—
1573C2×D4—22no—
1574C2×D4—22no—
1575C2×D4—22no—
1576C2×D4—22no—
1577C2×D4—22no—
1578C2×D4—41no—
1579C2×D4—41no—
1580C2×D4—41no—
1581C2×D4—41no—
1582C2×D4—41no—
1583C2×D4—41no—
1584C2×D4—41no—
1585C2×D4—41no—
1586C2×D4—41no—
1587C2×D4—41no—
1588C2×D4—41no—
1589C2×D4—41no—
1590C2×D4—594no—
1591C2×D4—594no—
1592C2×D4—594no—
1593C2×D4—1182no—
1594C2×D4—1182no—
1595C2×D4—1182no—
1596C2×D4—1182no—
1597C2×D4—1182no—
1598C2×D4—1182no—
1599C2×D4—1182no—
1600C2×D4—1182no—
1601C2×D4—1182no—
1602C2×D4—1182no—
1603C2×D4—1182no—
1604C2×D4—1182no—
1605C2×D4—1182no—
1606C2×D4—1182no—
1607C2×D4—1182no—
1608C2×D4—1182no—
1609C2×D4—1182no—
1610C2×D4—1182no—
1611C2×D4—1182no—
1612C2×D4—1182no—
1613C2×D4—1182no—
1614C2×D4—1182no—
1615C2×D4—1182no—
1616C2×D4—1182no—
1617C2×D4—1182no—
1618C2×D4—1182no—
1619C2×D4—1182no—
1620C2×D4—1182no—
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—23616no—
1632C2×D4—2361no—
1633C2×D4—2361no—
1634C2×D4—2361no—
1635C2×D4—2361no—
1636C2×D4—2361no—
1637C2×D4—2361no—
1638C2×D4—2361no—
1639C2×D4—2361no—
1640C2×D4—2361no—
1641C2×D4—2361no—
1642C2×D4—2361no—
1643C2×D4—2361no—
1644C2×D4—2361no—
1645C2×D4—2361no—
1646C2×D4—2361no—
1647C2×D4—2361no—
1648C2×D4—2361no—
1649C2×D4—2361no—
1650C2×D4—2361no—
1651C2×D4—2361no—
1652C2×D4—2361no—
1653C2×D4—2361no—
1654C2×D4—23616no—
1655C2×D4—23616no—
1656C2×D4—23616no—
1657C2×D4D4×D5914yes—
1658C22×C4—22no—
1659C22×C4—41no—
1660C22×C4—41no—
1661C22×C4—591no—
1662C22×C4—594no—
1663C22×C4—591no—
1664C22×C4—591no—
1665C22×C4—591no—
1666C22×C4—591no—
1667C22×C4—591no—
1668C22×C4—591no—
1669C22×C4—591no—
1670C22×C4—591no—
1671C22×C4—591no—
1672C22×C4—1182no—
1673C22×C4—1182no—
1674C22×C4—1182no—
1675C22×C4—1182no—
1676C22×C4—1182no—
1677C22×C4—1182no—
1678C22×C4—2361no—
1679C22×C4—2361no—
1680C22×C4—2361no—
1681C22×C4—2361no—
1682C22×C4—2361no—
1683C22×C4—2361no—
1684C22×C4—2361no—
1685C22×C4—2361no—
1686C22×C4C23×D5911yescharacteristic
1687C22×C4C23×D5911yescharacteristic
1688C22×C4C23×D5911yescharacteristic
1689C22×C4C23×D5911yescharacteristic
1690C22×C4C23×D5911yescharacteristic
1691C22×C4C23×D5911yescharacteristic
1692C22×C4C23×D5911yescharacteristic
1693C22×C4C23×D5911yescharacteristic
1694C22×C4C23×D5911yescharacteristic
1695C22×C4C23×D5911yescharacteristic
1696C4⋊C4—22no—
1697C4⋊C4—41no—
1698C4⋊C4—41no—
1699C4⋊C4—41no—
1700C4⋊C4—1182no—
1701C4⋊C4—1182no—
1702C4⋊C4—1182no—
1703C4⋊C4—2361no—
1704C4⋊C4—2361no—
1705C4⋊C4—2361no—
1706C4⋊C4—2361no—
1707C4⋊C4—2361no—
1708C4⋊C4—2361no—
1709C4⋊C4—2361no—
1710C4⋊C4—2361no—
1711C4⋊C4—2361no—
1712C22⋊C4—22no—
1713C22⋊C4—22no—
1714C22⋊C4—22no—
1715C22⋊C4—22no—
1716C22⋊C4—22no—
1717C22⋊C4—22no—
1718C22⋊C4—22no—
1719C22⋊C4—41no—
1720C22⋊C4—41no—
1721C22⋊C4—41no—
1722C22⋊C4—41no—
1723C22⋊C4—41no—
1724C22⋊C4—41no—
1725C22⋊C4—41no—
1726C22⋊C4—41no—
1727C22⋊C4—41no—
1728C22⋊C4—41no—
1729C22⋊C4—1182no—
1730C22⋊C4—1182no—
1731C22⋊C4—1182no—
1732C22⋊C4—1182no—
1733C22⋊C4—1182no—
1734C22⋊C4—1182no—
1735C22⋊C4—1182no—
1736C22⋊C4—1182no—
1737C22⋊C4—1182no—
1738C22⋊C4—1182no—
1739C22⋊C4—1182no—
1740C22⋊C4—1182no—
1741C22⋊C4—1182no—
1742C22⋊C4—1182no—
1743C22⋊C4—1182no—
1744C22⋊C4—1182no—
1745C22⋊C4—1182no—
1746C22⋊C4—1182no—
1747C22⋊C4—1182no—
1748C22⋊C4—1182no—
1749C22⋊C4—1182no—
1750C22⋊C4—1182no—
1751C22⋊C4—1182no—
1752C22⋊C4—1182no—
1753C22⋊C4—1182no—
1754C22⋊C4—1182no—
1755C22⋊C4—1182no—
1756C22⋊C4—1182no—
1757C22⋊C4—1182no—
1758C22⋊C4—2361no—
1759C22⋊C4—2361no—
1760C22⋊C4—2361no—
1761C22⋊C4—2361no—
1762C22⋊C4—2361no—
1763C22⋊C4—2361no—
1764C22⋊C4—2361no—
1765C22⋊C4—2361no—
1766C22⋊C4—2361no—
1767C22⋊C4—2361no—
1768C22⋊C4—2361no—
1769C22⋊C4—2361no—
1770C22⋊C4—2361no—
1771C22⋊C4—2361no—
1772C22⋊C4—2361no—
1773C22⋊C4—2361no—
1774C22⋊C4—2361no—
1775C22⋊C4—2361no—
1776C22⋊C4—2361no—
1777C22⋊C4—2361no—
1778C22⋊C4—2361no—
1779C22⋊C4—2361no—
1780C22⋊C4—2361no—
1781C22⋊C4—2361no—
1782C22⋊C4—2361no—
1783C22⋊C4—2361no—
1784C22⋊C4—2361no—
1785C22⋊C4—2361no—
1786C22⋊C4—2361no—
1787C22⋊C4—2361no—
1788C42—41no—
1789C42—2361no—
1790C42—2361no—
1791C42—2361no—
1792C23—21no—
1793C23—21no—
1794C23—21no—
1795C23—21no—
1796C23—21no—
1797C23—21no—
1798C23—21no—
1799C23—21no—
1800C23—21no—
1801C23—21no—
1802C23—21no—
1803C23—21no—
1804C23—21no—
1805C23—21no—
1806C23—21no—
1807C23—21no—
1808C23—21no—
1809C23—21no—
1810C23—21no—
1811C23—21no—
1812C23—21no—
1813C23—21no—
1814C23—21no—
1815C23—21no—
1816C23—21no—
1817C23—21no—
1818C23—21no—
1819C23—21no—
1820C23—21no—
1821C23—21no—
1822C23—21no—
1823C23—44no—
1824C23—44no—
1825C23—44no—
1826C23—44no—
1827C23—44no—
1828C23—44no—
1829C23—44no—
1830C23—592no—
1831C23—592no—
1832C23—592no—
1833C23—592no—
1834C23—592no—
1835C23—592no—
1836C23—592no—
1837C23—1188no—
1838C23—1188no—
1839C23—1188no—
1840C23—1188no—
1841C23—1181no—
1842C23—1181no—
1843C23—1181no—
1844C23—1181no—
1845C23—1181no—
1846C23—1181no—
1847C23—1181no—
1848C23—1181no—
1849C23—1181no—
1850C23—1181no—
1851C23—1181no—
1852C23—1181no—
1853C23—1181no—
1854C23—1181no—
1855C23—1181no—
1856C23—1181no—
1857C23—1181no—
1858C23—1181no—
1859C23—1181no—
1860C23—1181no—
1861C23—1181no—
1862C23—1181no—
1863C23—1181no—
1864C23—1181no—
1865C23—1181no—
1866C23—1181no—
1867C23—1181no—
1868C23—1181no—
1869C23—1181no—
1870C23—1181no—
1871C23—1181no—
1872C23—1181no—
1873C23—1181no—
1874C23—1181no—
1875C23—1181no—
1876C23—4722no—
1877C23—4722no—
1878C23—4722no—
1879C23—4722no—
1880C23—4722no—
1881C23—4722no—
1882C23—4722no—
1883C23—4722no—
1884C23—4722no—
1885C23—4722no—
1886C23—2364no—
1887C23—2364no—
1888C23—2364no—
1889C23—2364no—
1890C23—2364no—
1891C23—2364no—
1892C23—2364no—
1893C23—2364no—
1894C23—2364no—
1895C23—2364no—
1896C23—2364no—
1897C23—2364no—
1898C23—2364no—
1899C23—2364no—
1900C23—2364no—
1901C23—2364no—
1902C23—2364no—
1903C23—2364no—
1904C23—2364no—
1905C23—2364no—
1906C23—2364no—
1907C23—2364no—
1908C23—2364no—
1909C23—2364no—
1910C23—2364no—
1911C23—2364no—
1912C23—2364no—
1913C23—2364no—
1914C23—2364no—
1915C23—2364no—
1916C23—2364no—
1917C23—2364no—
1918C23—2364no—
1919C23—2364no—
1920C23—2364no—
1921C23—2364no—
1922C23—2364no—
1923C23—2364no—
1924C23—2364no—
1925C23—236128no—
1926C23—2364no—
1927C23—2364no—
1928C23—2364no—
1929C23C2×D4×D5912yes—
1930C23C2×D4×D5912yes—
1931C23#1427377212yes—
1932C23#1427377312yes—
1933C23C24×D5911yescharacteristic
1934D4—44no—
1935D4—44no—
1936D4—44no—
1937D4—44no—
1938D4—82no—
1939D4—82no—
1940D4—82no—
1941D4—4722no—
1942D4—4722no—
1943D4—4722no—
1944D4—4722no—
1945D4—4722no—
1946D4—4722no—
1947D4—4722no—
1948D4—4722no—
1949D4—4722no—
1950D4—2364no—
1951D4—2364no—
1952D4—2364no—
1953D4—2364no—
1954D4—2364no—
1955D4—2364no—
1956D4—2364no—
1957D4—2364no—
1958D4—2364no—
1959D4—2364no—
1960D4—2364no—
1961D4—2364no—
1962C2×C4—21no—
1963C2×C4—21no—
1964C2×C4—21no—
1965C2×C4—21no—
1966C2×C4—21no—
1967C2×C4—21no—
1968C2×C4—21no—
1969C2×C4—21no—
1970C2×C4—21no—
1971C2×C4—21no—
1972C2×C4—21no—
1973C2×C4—21no—
1974C2×C4—21no—
1975C2×C4—21no—
1976C2×C4—21no—
1977C2×C4—21no—
1978C2×C4—21no—
1979C2×C4—21no—
1980C2×C4—21no—
1981C2×C4—21no—
1982C2×C4—21no—
1983C2×C4—21no—
1984C2×C4—21no—
1985C2×C4—21no—
1986C2×C4—21no—
1987C2×C4—21no—
1988C2×C4—21no—
1989C2×C4—21no—
1990C2×C4—21no—
1991C2×C4—82no—
1992C2×C4—592no—
1993C2×C4—1188no—
1994C2×C4—1181no—
1995C2×C4—1181no—
1996C2×C4—1181no—
1997C2×C4—1181no—
1998C2×C4—1181no—
1999C2×C4—1181no—
2000C2×C4—1181no—
2001C2×C4—1181no—
2002C2×C4—1181no—
2003C2×C4—1181no—
2004C2×C4—1181no—
2005C2×C4—1181no—
2006C2×C4—1181no—
2007C2×C4—1181no—
2008C2×C4—1181no—
2009C2×C4—1181no—
2010C2×C4—1181no—
2011C2×C4—1181no—
2012C2×C4—1181no—
2013C2×C4—1181no—
2014C2×C4—1181no—
2015C2×C4—1181no—
2016C2×C4—1181no—
2017C2×C4—1181no—
2018C2×C4—1181no—
2019C2×C4—1181no—
2020C2×C4—1181no—
2021C2×C4—1181no—
2022C2×C4—1181no—
2023C2×C4—4722no—
2024C2×C4—2364no—
2025C2×C4—2364no—
2026C2×C4—2364no—
2027C2×C4C2×D4×D5912yes—
2028C22—22no—
2029C22—22no—
2030C22—22no—
2031C22—22no—
2032C22—22no—
2033C22—22no—
2034C22—22no—
2035C22—22no—
2036C22—22no—
2037C22—22no—
2038C22—22no—
2039C22—22no—
2040C22—416no—
2041C22—41no—
2042C22—41no—
2043C22—41no—
2044C22—41no—
2045C22—41no—
2046C22—41no—
2047C22—41no—
2048C22—41no—
2049C22—41no—
2050C22—41no—
2051C22—41no—
2052C22—41no—
2053C22—41no—
2054C22—41no—
2055C22—41no—
2056C22—41no—
2057C22—41no—
2058C22—41no—
2059C22—41no—
2060C22—41no—
2061C22—41no—
2062C22—41no—
2063C22—41no—
2064C22—594no—
2065C22—1182no—
2066C22—1182no—
2067C22—1182no—
2068C22—1182no—
2069C22—1182no—
2070C22—1182no—
2071C22—1182no—
2072C22—1182no—
2073C22—1182no—
2074C22—1182no—
2075C22—1182no—
2076C22—1182no—
2077C22—1182no—
2078C22—1182no—
2079C22—1182no—
2080C22—1182no—
2081C22—1182no—
2082C22—1182no—
2083C22—4728no—
2084C22—4728no—
2085C22—23616no—
2086C22—23616no—
2087C22—23616no—
2088C22—23616no—
2089C22—23616no—
2090C22—23616no—
2091C22—2361no—
2092C22—2361no—
2093C22—2361no—
2094C22—2361no—
2095C22—2361no—
2096C22—2361no—
2097C22—2361no—
2098C22—2361no—
2099C22—2361no—
2100C22—2361no—
2101C22—2361no—
2102C22—2361no—
2103C22—2361no—
2104C22—2361no—
2105C22—2361no—
2106C22—2361no—
2107C22—2361no—
2108C22—2361no—
2109C22—2361no—
2110C22—2361no—
2111C22—2361no—
2112C22—2361no—
2113C22—2361no—
2114C22C22×D4×D5911yescharacteristic
2115C22H(5,𝔽2)×D5911yescharacteristic
2116C22H(5,𝔽2)×D5911yescharacteristic
2117C22H(5,𝔽2)×D5911yescharacteristic
2118C22H(5,𝔽2)×D5911yescharacteristic
2119C22C2×#1427377211yescharacteristic
2120C22C2×#1427377311yescharacteristic
2121C4—22no—
2122C4—41no—
2123C4—41no—
2124C4—41no—
2125C4—41no—
2126C4—41no—
2127C4—41no—
2128C4—41no—
2129C4—41no—
2130C4—41no—
2131C4—1182no—
2132C4—2361no—
2133C4—2361no—
2134C4—2361no—
2135C4—2361no—
2136C4—2361no—
2137C4—2361no—
2138C4—2361no—
2139C4—2361no—
2140C4—2361no—
2141C2—42no—
2142C2—42no—
2143C2—42no—
2144C2—42no—
2145C2—81no—
2146C2—1184no—
2147C2—4721no—
2148C2—2362no—
2149C2—2362no—
2150C2—2362no—
2151C2—2362no—
2152C2#534×D5911yescharacteristic
2153C2#2143772411yescharacteristic
2154C2#2143772611yescharacteristic
2155C2#2143824511yescharacteristic
2156C2#2143824711yescharacteristic
2157C2#2143824911yescharacteristic
2158C2#2143825011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2678C2
hypercenter#2678D59
hypocenterC59#36714
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2678

Complements

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

NH ≅ G/Ntype
1. C2×#16837960C2semidirect
2. C2×#120×D59C2semidirect
3. #21432374C2semidirect
4. #21432372C2semidirect
5. #21430661C2semidirect
6. #21430659C2semidirect
7. #21430656C2semidirect
8. #21430654C2semidirect
9. #21430431C2semidirect
10. #21430430C2semidirect
11. #21430429C2semidirect
12. #21430429C2semidirect
13. #21430424C2semidirect
14. #21430423C2semidirect
15. #21430422C2semidirect
16. #21430421C2semidirect
17. #21430416C2semidirect
18. #21430415C2semidirect
19. #21430414C2semidirect
20. #21429870C2semidirect
21. #21429868C2semidirect
22. #21427480C2semidirect
23. #21427478C2semidirect
24. #21427476C2semidirect
25. #21427474C2semidirect
26. #21427422C2semidirect
27. #21427420C2semidirect
28. #21427405C2semidirect
29. #21427405C2semidirect
30. #21426675C2semidirect
31. C59×#2678C2semidirect
32. C25×D59C22semidirect
36. C22×D4×D59C22semidirect
38. C2×#14273712C22semidirect
39. C2×#14273712C22semidirect
40. C2×#14273711C22semidirect
41. C2×#14273710C22semidirect
42. C2×#14273709C22semidirect
43. C2×#14273709C22semidirect
44. C2×#14273708C22semidirect
45. C2×#14273701C22semidirect
46. C2×#14273699C22semidirect
47. C2×#14273699C22semidirect
54. C2×#14273697C22semidirect
55. C2×#14273697C22semidirect
56. C2×#14273697C22semidirect
57. C2×#14273697C22semidirect
58. C2×#14273697C22semidirect
59. C2×#14273697C22semidirect
61. C2×#14273696C22semidirect
65. C2×#14273695C22semidirect
66. C2×#14273695C22semidirect
67. C2×#14273695C22semidirect
68. C2×#14273695C22semidirect
69. C2×#14273695C22semidirect
70. C2×#14273695C22semidirect
71. C2×#14273695C22semidirect
72. C2×#14273695C22semidirect
73. C2×#14273695C22semidirect
75. C2×#14273685C22semidirect
76. C2×#14273684C22semidirect
77. C22×(C2×D59)⋊C4C22semidirect
78. C2×C22⋊C4×D59C22semidirect
79. C2×C22⋊C4×D59C22semidirect
80. C2×C22⋊C4×D59C22semidirect
81. #16837331C22semidirect
82. #16837331C22semidirect
83. #16837330C22semidirect
84. #16837330C22semidirect
85. #16837329C22semidirect
86. #16837328C22semidirect
87. #16837327C22semidirect
88. #16837326C22semidirect
89. #16837325C22semidirect
90. #16837325C22semidirect
91. #16837325C22semidirect
92. #16837324C22semidirect
93. #16837324C22semidirect
94. #16837324C22semidirect
95. #16837320C22semidirect
96. #16837320C22semidirect
97. #16837320C22semidirect
98. #16837320C22semidirect
99. #16837319C22semidirect
100. #16837319C22semidirect
101. #16837319C22semidirect
102. #16837319C22semidirect
103. #16837318C22semidirect
104. #16837318C22semidirect
105. #16837318C22semidirect
106. #16837318C22semidirect
107. #16837318C22semidirect
108. #16837318C22semidirect
109. #16837317C22semidirect
110. #16837317C22semidirect
111. #16837317C22semidirect
112. #16837317C22semidirect
113. #16837317C22semidirect
114. #16837317C22semidirect
115. #16837316C22semidirect
116. #16837316C22semidirect
117. #16837311C22semidirect
118. #16837311C22semidirect
119. #16837310C22semidirect
120. #16837310C22semidirect
121. #16837310C22semidirect
122. #16837310C22semidirect
123. #16837305C22semidirect
124. #16837305C22semidirect
125. #16837304C22semidirect
126. #16837304C22semidirect
127. #16837303C22semidirect
128. #16837303C22semidirect
129. #16837302C22semidirect
130. #16837302C22semidirect
131. #16837302C22semidirect
132. #16837302C22semidirect
133. #16837302C22semidirect
134. #16837302C22semidirect
135. #16837302C22semidirect
136. #16837302C22semidirect
137. #16837296C22semidirect
138. #16837295C22semidirect
139. #16837294C22semidirect
140. #16837293C22semidirect
141. #16837292C22semidirect
142. #16837291C22semidirect
143. #16837290C22semidirect
144. #16837282C22semidirect
145. #16837281C22semidirect
146. #16837280C22semidirect
147. #16837280C22semidirect
148. #16837280C22semidirect
149. #16837280C22semidirect
150. #16837279C22semidirect
151. #16837278C22semidirect
152. #16837278C22semidirect
153. #16837278C22semidirect
154. #16837278C22semidirect
155. #16837276C22semidirect
156. #16837276C22semidirect
157. #16837273C22semidirect
158. #16837273C22semidirect
159. #16837258C22semidirect
160. #16837257C22semidirect
161. #16837257C22semidirect
162. #16837257C22semidirect
163. #16837257C22semidirect
164. #16837257C22semidirect
165. #16837257C22semidirect
166. #16837257C22semidirect
167. #16837257C22semidirect
168. #16837257C22semidirect
169. #16837257C22semidirect
170. #16837257C22semidirect
171. #16837257C22semidirect
172. #16837257C22semidirect
173. #16837257C22semidirect
174. C2×#123×C59C22semidirect
175. C2×#121×C59C22semidirect
176. C2×#120×C59C22semidirect
177. C2×#120×C59C22semidirect
178. C59×#397C22semidirect
179. C59×#396C22semidirect
180. C59×#394C22semidirect
181. C59×#394C22semidirect
182. C59×#392C22semidirect
183. C59×#392C22semidirect
184. C59×#390C22semidirect
185. C59×#390C22semidirect
186. C59×#388C22semidirect
187. C59×#386C22semidirect
188. C59×#379C22semidirect
203. C24×D59C23semidirect
224. C22×C22⋊D59C23semidirect
236. C2×D4×D59D4semidirect
237. C23×Dic59C23semidirect
241. C22×C4×D59C23semidirect
280. C2×C4⋊Dic59C23semidirect
281. C2×C4⋊Dic59C23semidirect
282. C2×C4⋊Dic59C23semidirect
283. C2×C4⋊Dic59C23semidirect
284. C2×Dic59⋊C4C23semidirect
285. C2×Dic59⋊C4C23semidirect
286. C2×Dic59⋊C4C23semidirect
287. C2×Dic59⋊C4C23semidirect
288. C2×Dic59⋊C4C23semidirect
289. C2×Dic59⋊C4C23semidirect
290. C2×Dic59⋊C4C23semidirect
291. C2×Dic59⋊C4C23semidirect
304. C2×C22⋊Dic59C23semidirect
305. C2×C22⋊Dic59C23semidirect
306. C2×C22⋊Dic59C23semidirect
307. C2×C22⋊Dic59C23semidirect
308. C2×C22⋊Dic59C23semidirect
340. C2×(C2×D59)⋊C4C23semidirect
341. C2×(C2×D59)⋊C4C23semidirect
342. C2×(C2×D59)⋊C4C23semidirect
343. C2×(C2×D59)⋊C4C23semidirect
344. C2×(C2×D59)⋊C4C23semidirect
345. C2×(C2×D59)⋊C4C23semidirect
346. C2×(C2×D59)⋊C4C23semidirect
347. C2×(C2×D59)⋊C4C23semidirect
348. C2×(C2×D59)⋊C4C23semidirect
349. C2×(C2×D59)⋊C4C23semidirect
350. C2×(C2×D59)⋊C4C23semidirect
351. C2×(C2×D59)⋊C4C23semidirect
355. C2×C4×Dic59C23semidirect
356. C2×C4×Dic59C23semidirect
357. C2×C4×Dic59C23semidirect
358. C59⋊#95C23semidirect
359. C59⋊#95C23semidirect
360. C59⋊#95C23semidirect
361. C59⋊#95C23semidirect
362. C59⋊#95C23semidirect
363. C59⋊#95C23semidirect
364. C59⋊#95C23semidirect
365. C59⋊#95C23semidirect
366. C59⋊#95C23semidirect
367. C59⋊#95C23semidirect
368. C59⋊#95C23semidirect
369. C59⋊#95C23semidirect
377. C22×D4×C59C23semidirect
378. C23×C4×C59C23semidirect
383. C2×C4⋊C4×C59C23semidirect
384. C2×C4⋊C4×C59C23semidirect
385. C2×C4⋊C4×C59C23semidirect
386. C2×C4⋊C4×C59C23semidirect
399. C2×C22⋊C4×C59C23semidirect
400. C2×C22⋊C4×C59C23semidirect
401. C2×C22⋊C4×C59C23semidirect
402. C2×C22⋊C4×C59C23semidirect
403. C2×C22⋊C4×C59C23semidirect
404. C2×C42×C59C23semidirect
405. #95×C59C23semidirect
406. #95×C59C23semidirect
407. #95×C59C23semidirect
408. #95×C59C23semidirect
1081. #2678D59semidirect
1124. C2×#123C2×D59semidirect
1128. C2×#121C2×D59semidirect
1156. C2×#120C2×D59semidirect
1157. C2×#120C2×D59semidirect
1171. #397C2×D59semidirect
1179. #396C2×D59semidirect
1202. #394C2×D59semidirect
1203. #394C2×D59semidirect
1210. #392C2×D59semidirect
1211. #392C2×D59semidirect
1226. #390C2×D59semidirect
1227. #390C2×D59semidirect
1235. #388C2×D59semidirect
1247. #386C2×D59semidirect
1267. #379C2×D59semidirect
1268. C59#36714semidirect
1324. C22×D4C22×D59semidirect
1330. C23×C4C22×D59semidirect
1385. C2×C4⋊C4C22×D59semidirect
1386. C2×C4⋊C4C22×D59semidirect
1387. C2×C4⋊C4C22×D59semidirect
1388. C2×C4⋊C4C22×D59semidirect
1464. C2×C22⋊C4C22×D59semidirect
1465. C2×C22⋊C4C22×D59semidirect
1466. C2×C22⋊C4C22×D59semidirect
1467. C2×C22⋊C4C22×D59semidirect
1468. C2×C22⋊C4C22×D59semidirect
1472. C2×C42C22×D59semidirect
1485. #95C22×D59semidirect
1486. #95C22×D59semidirect
1487. #95C22×D59semidirect
1488. #95C22×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168379602
C2×#120×D592
#214323742
#214323722
#214306612
#214306592
#214306562
#214306542
#214304312
#214304302
#214304292
#214304242
#214304232
#214304222
#214304212
#214304162
#214304152
#214304142
#214298702
#214298682
#214274802
#214274782
#214274762
#214274742
#214274222
#214274202
#214274052
#214266752
C59×#26782
#3671459