Finite Group Databasebeta

← #28795596

Subgroups — #28795596

Order 15104.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838005C211yesmaximal, characteristic, complemented
2C2×#16837912C211yesmaximal, characteristic, complemented
3#21432389C211yesmaximal, characteristic, complemented
4#21432377C211yesmaximal, characteristic, complemented
5#21430621C211yesmaximal, characteristic, complemented
6#21430600C211yesmaximal, characteristic, complemented
7#21430569C211yesmaximal, characteristic, complemented
8#21430517C211yesmaximal, characteristic, complemented
9#21430427C211yesmaximal, characteristic, complemented
10#21430400C211yesmaximal, characteristic, complemented
11#21430388C211yesmaximal, characteristic, complemented
12#21430359C211yesmaximal, characteristic, complemented
13#21430358C211yesmaximal, characteristic, complemented
14#21430351C211yesmaximal, characteristic, complemented
15#21430333C211yesmaximal, characteristic, complemented
16#21430333C211yesmaximal, characteristic, complemented
17#21430315C211yesmaximal, characteristic, complemented
18#21430314C211yesmaximal, characteristic, complemented
19#21430299C211yesmaximal, characteristic, complemented
20#21429979C211yesmaximal, characteristic, complemented
21#21429934C211yesmaximal, characteristic, complemented
22#21429772C211yesmaximal, characteristic, complemented
23#21429703C211yesmaximal, characteristic, complemented
24#21429665C211yesmaximal, characteristic, complemented
25#21429658C211yesmaximal, characteristic, complemented
26#21429060C211yesmaximal, characteristic, complemented
27#21428994C211yesmaximal, characteristic, complemented
28#21427710C211yesmaximal, characteristic, complemented
29#21427704C211yesmaximal, characteristic, complemented
30#21426722C211yesmaximal, characteristic, complemented
31C59×#2688C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34#16838005—28no—
35C2×#14273723C2211yescharacteristic
36C2×#14273723C2211yescharacteristic
37C2×#14273718C2211yescharacteristic, complemented
38C2×#14273713C2211yescharacteristic, complemented
39#16837912—28no—
40C2×#14273711C2211yescharacteristic
41C2×#14273711C2211yescharacteristic, complemented
42C2×#14273710C2211yescharacteristic
43C2×#14273709C2211yescharacteristic
44C2×#14273709C2211yescharacteristic
45C2×#14273709C2211yescharacteristic
46C2×#14273709C2211yescharacteristic, complemented
47C2×#14273707C2211yescharacteristic
48C2×#14273706C2211yescharacteristic
49C2×#14273701C2211yescharacteristic
50C2×#14273701C2211yescharacteristic
51C2×#14273701C2211yescharacteristic, complemented
52C2×#14273700C2211yescharacteristic
53C2×#14273700C2211yescharacteristic
54C2×#14273700C2211yescharacteristic
55C2×#14273700C2211yescharacteristic
56C2×#14273699C2211yescharacteristic
57C2×#14273699C2211yescharacteristic
58C2×#14273699C2211yescharacteristic, complemented
59C2×#14273699C2211yescharacteristic, complemented
60C2×#14273698C2211yescharacteristic
61C2×#14273698C2211yescharacteristic
62C2×#14273698C2211yescharacteristic, complemented
63C2×#14273697C2211yescharacteristic
64C2×#14273697C2211yescharacteristic
65C2×#14273695C2211yescharacteristic
66C2×#14273695C2211yescharacteristic
67C2×#14273695C2211yescharacteristic
68C2×D4×Dic59C2211yescharacteristic
69C2×D4×Dic59C2211yescharacteristic
70C2×#14273689C2211yescharacteristic, complemented
71C2×(C22⋊D59)⋊C4C2211yescharacteristic
72C2×(C22⋊D59)⋊C4C2211yescharacteristic
73C2×#14273686C2211yescharacteristic, complemented
74C2×#14273685C2211yescharacteristic
75#16837344C2211yescharacteristic, complemented
76#16837344C2211yescharacteristic, complemented
77#16837338C2211yescharacteristic, complemented
78#16837338C2211yescharacteristic, complemented
79#16837337C2211yescharacteristic
80#16837336C2211yescharacteristic, complemented
81#16837334C2211yescharacteristic, complemented
82#16837334C2211yescharacteristic, complemented
83#16837331C2211yescharacteristic
84#16837330C2211yescharacteristic
85#16837328C2211yescharacteristic
86#16837325C2211yescharacteristic, complemented
87#16837325C2211yescharacteristic, complemented
88#16837324C2211yescharacteristic
89#16837324C2211yescharacteristic, complemented
90#16837323C2211yescharacteristic, complemented
91#16837319C2211yescharacteristic, complemented
92#16837318C2211yescharacteristic
93#16837318C2211yescharacteristic
94#16837318C2211yescharacteristic
95#16837318C2211yescharacteristic
96#16837318C2211yescharacteristic, complemented
97#16837317C2211yescharacteristic
98#16837317C2211yescharacteristic
99#16837317C2211yescharacteristic, complemented
100#16837317C2211yescharacteristic, complemented
101#16837317C2211yescharacteristic, complemented
102#16837316C2211yescharacteristic
103#16837315C2211yescharacteristic, complemented
104#16837312C2211yescharacteristic
105#16837312C2211yescharacteristic
106#16837311C2211yescharacteristic
107#16837311C2211yescharacteristic
108#16837311C2211yescharacteristic
109#16837311C2211yescharacteristic
110#16837311C2211yescharacteristic, complemented
111#16837310C2211yescharacteristic
112#16837310C2211yescharacteristic
113#16837310C2211yescharacteristic
114#16837310C2211yescharacteristic
115#16837310C2211yescharacteristic, complemented
116#16837310C2211yescharacteristic, complemented
117#16837306C2211yescharacteristic, complemented
118#16837303C2211yescharacteristic
119#16837302C2211yescharacteristic
120#16837299C2211yescharacteristic, complemented
121#16837296C2211yescharacteristic
122#16837295C2211yescharacteristic, complemented
123#16837294C2211yescharacteristic
124#16837294C2211yescharacteristic
125#16837294C2211yescharacteristic
126#16837291C2211yescharacteristic, complemented
127#16837291C2211yescharacteristic, complemented
128#16837291C2211yescharacteristic, complemented
129#16837290C2211yescharacteristic
130#16837290C2211yescharacteristic, complemented
131#16837288C2211yescharacteristic, complemented
132#16837287C2211yescharacteristic, complemented
133#16837285C2211yescharacteristic, complemented
134#16837283C2211yescharacteristic, complemented
135#16837282C2211yescharacteristic
136#16837282C2211yescharacteristic, complemented
137#16837281C2211yescharacteristic
138#16837281C2211yescharacteristic
139#16837281C2211yescharacteristic
140#16837280C2211yescharacteristic
141#16837280C2211yescharacteristic
142#16837280C2211yescharacteristic
143#16837280C2211yescharacteristic
144#16837280C2211yescharacteristic
145#16837280C2211yescharacteristic
146#16837280C2211yescharacteristic
147#16837280C2211yescharacteristic
148#16837279C2211yescharacteristic
149#16837279C2211yescharacteristic, complemented
150#16837279C2211yescharacteristic, complemented
151#16837279C2211yescharacteristic, complemented
152#16837278C2211yescharacteristic
153#16837278C2211yescharacteristic
154#16837277C2211yescharacteristic, complemented
155#16837276C2211yescharacteristic
156#16837276C2211yescharacteristic
157#16837276C2211yescharacteristic
158#16837276C2211yescharacteristic
159#16837276C2211yescharacteristic, complemented
160#16837276C2211yescharacteristic, complemented
161#16837275C2211yescharacteristic, complemented
162#16837274C2211yescharacteristic, complemented
163#16837269C2211yescharacteristic, complemented
164#16837266C2211yescharacteristic, complemented
165#16837263C2211yescharacteristic
166#16837261C2211yescharacteristic
167#16837261C2211yescharacteristic
168#16837261C2211yescharacteristic, complemented
169#16837261C2211yescharacteristic, complemented
170#16837260C2211yescharacteristic
171#16837257C2211yescharacteristic
172C22⋊C4×Dic59C2211yescharacteristic, complemented
173C2×C59⋊#95C2211yescharacteristic, complemented
174C2×#121×C59C2211yescharacteristic
175C2×#121×C59C2211yescharacteristic
176C59×#400C2211yescharacteristic, complemented
177C59×#397C2211yescharacteristic, complemented
178C59×#397C2211yescharacteristic, complemented
179C59×#394C2211yescharacteristic
180C59×#392C2211yescharacteristic
181C59×#392C2211yescharacteristic, complemented
182C59×#386C2211yescharacteristic
183C59×#386C2211yescharacteristic
184C59×#386C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic, complemented
186C59×#386C2211yescharacteristic, complemented
187C59×#385C2211yescharacteristic, complemented
188C59×#381C2211yescharacteristic
189C24×D59C2311yescharacteristic
190C2×#11745687—24no—
191C2×#11745687—42no—
192C2×#11745687—42no—
193C22×Dic118C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
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
213C23×Dic59C2311yescharacteristic
214C23×Dic59C2311yescharacteristic
215C23×Dic59C2311yescharacteristic
216C23×Dic59C2311yescharacteristic
217C22×C4×D59—24no—
218C22×C4×D59—42no—
219C22×C4×D59—42no—
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222C22×C4×D59C2311yescharacteristic
223C22×C4×D59C2311yescharacteristic
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2311yescharacteristic
226#14273723—24no—
227#14273723—42no—
228#14273718—24no—
229#14273713—42no—
230#14273711—24no—
231#14273711—24no—
232#14273710—42no—
233#14273709—24no—
234#14273709—24no—
235#14273709—24no—
236#14273709—24no—
237#14273707—24no—
238#14273706—24no—
239#14273701—24no—
240#14273701—42no—
241#14273701—42no—
242#14273700—42no—
243#14273700—42no—
244#14273700—42no—
245#14273700—42no—
246#14273699—24no—
247#14273699—24no—
248#14273699—42no—
249#14273699—42no—
250#14273698—24no—
251#14273698—24no—
252#14273698—24no—
253#14273697—42no—
254#14273697—42no—
255#14273695—24no—
256#14273695—24no—
257#14273695—42no—
258D4×Dic59—24no—
259D4×Dic59D418yescomplemented
260#14273689—24no—
261(C22⋊D59)⋊C4—24no—
262(C22⋊D59)⋊C4—24no—
263#14273686—24no—
264#14273685—24no—
265C2×C4⋊Dic59C2311yescharacteristic
266C2×C4⋊Dic59C2311yescharacteristic
267C2×C4⋊Dic59C2311yescharacteristic
268C2×C4⋊Dic59C2311yescharacteristic
269C2×C4⋊Dic59C2311yescharacteristic
270C2×C4⋊Dic59C2311yescharacteristic
271C2×C4⋊Dic59C2311yescharacteristic
272C2×C4⋊Dic59C2311yescharacteristic
273C2×C4⋊Dic59C2311yescharacteristic
274C2×Dic59⋊C4C2311yescharacteristic
275C2×Dic59⋊C4C2311yescharacteristic
276C2×Dic59⋊C4C2311yescharacteristic
277C2×Dic59⋊C4C2311yescharacteristic
278C2×Dic59⋊C4C2311yescharacteristic
279C2×Dic59⋊C4C2311yescharacteristic
280C2×Dic59⋊C4C2311yescharacteristic
281C2×Dic59⋊C4C2311yescharacteristic
282C2×Dic59⋊C4C2311yescharacteristic
283C2×Dic59⋊C4C2311yescharacteristic
284C2×Dic59⋊C4C2311yescharacteristic
285C2×Dic59⋊C4C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
289C2×C22⋊Dic59C2311yescharacteristic
290C2×C22⋊Dic59C2311yescharacteristic
291C2×C22⋊Dic59C2311yescharacteristic
292C2×C22⋊Dic59C2311yescharacteristic
293C2×C22⋊Dic59C2311yescharacteristic
294C2×C22⋊Dic59C2311yescharacteristic
295C2×C22⋊Dic59C2311yescharacteristic
296C2×C22⋊Dic59C2311yescharacteristic
297C2×C22⋊Dic59C2311yescharacteristic
298C2×C22⋊Dic59C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C2×(C2×D59)⋊C4C2311yescharacteristic
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×C4×Dic59C2311yescharacteristic
328C2×C4×Dic59C2311yescharacteristic
329C2×C4×Dic59C2311yescharacteristic
330C2×C4×Dic59C2311yescharacteristic
331C2×C4×Dic59C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C22×D4×C59C2311yescharacteristic
357C22×D4×C59C2311yescharacteristic
358C22×D4×C59C2311yescharacteristic
359C22×D4×C59C2311yescharacteristic
360C23×C4×C59C2311yescharacteristic
361C23×C4×C59C2311yescharacteristic
362C23×C4×C59C2311yescharacteristic
363#121×C59—24no—
364#121×C59—24no—
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C4⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59C2411yescharacteristic
392C24×C59C2411yescharacteristic
393C24×C59C2411yescharacteristic
394C24×C59C2411yescharacteristic
395C23×D59—22no—
396C23×D59—22no—
397C23×D59—22no—
398C23×D59—41no—
399C23×D59—41no—
400C23×D59—41no—
401C23×D59—41no—
402C23×D59C2411yescharacteristic
403C23×D59C2411yescharacteristic
404C23×D59C2411yescharacteristic
405C23×D59C2411yescharacteristic
406C2×D4×C59—22no—
407C2×D4×C59—22no—
408C2×D4×C59—22no—
409C2×D4×C59—22no—
410C2×D4×C59—22no—
411C2×D4×C59—41no—
412C2×D4×C59—41no—
413C2×D4×C59—41no—
414C2×D4×C59—41no—
415C2×D4×C59—41no—
416C2×D4×C59—41no—
417C2×D4×C59—41no—
418C2×D4×C59—41no—
419C2×D4×C59—41no—
420C2×D4×C59—41no—
421C2×D4×C59—41no—
422C2×D4×C59—41no—
423C2×D4×C59C2×D414yes—
424C22×C4×C59—22no—
425C22×C4×C59—22no—
426C22×C4×C59—22no—
427C22×C4×C59—41no—
428C22×C4×C59—41no—
429C22×C4×C59—41no—
430C22×C4×C59—41no—
431C22×C4×C59—41no—
432C22×C4×C59—41no—
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2411yescharacteristic
435C22×C4×C59C2411yescharacteristic
436C22×C4×C59C2411yescharacteristic
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
442C22×C4×C59C2411yescharacteristic
443C22×C4×C59C2411yescharacteristic
444C2×C22⋊D59—22no—
445C2×C22⋊D59—22no—
446C2×C22⋊D59—22no—
447C2×C22⋊D59—22no—
448C2×C22⋊D59—22no—
449C2×C22⋊D59—22no—
450C2×C22⋊D59—22no—
451C2×C22⋊D59—22no—
452C2×C22⋊D59—22no—
453C2×C22⋊D59—22no—
454C2×C22⋊D59—22no—
455C2×C22⋊D59—22no—
456C2×C22⋊D59—22no—
457C2×C22⋊D59—22no—
458C2×C22⋊D59—22no—
459C2×C22⋊D59—22no—
460C2×C22⋊D59—41no—
461C2×C22⋊D59—41no—
462C2×C22⋊D59—41no—
463C2×C22⋊D59—41no—
464C2×C22⋊D59—41no—
465C2×C22⋊D59—41no—
466C2×C22⋊D59—41no—
467C2×C22⋊D59—41no—
468C2×C22⋊D59—41no—
469C2×C22⋊D59—41no—
470C2×C22⋊D59—41no—
471C2×C22⋊D59—41no—
472C2×C22⋊D59—41no—
473C2×C22⋊D59—41no—
474C2×C22⋊D59—41no—
475C2×C22⋊D59—41no—
476C2×C22⋊D59—41no—
477C2×C22⋊D59—41no—
478C2×C22⋊D59—41no—
479C2×C22⋊D59—41no—
480C2×C22⋊D59—41no—
481C2×C22⋊D59—41no—
482C2×C22⋊D59—41no—
483C2×C22⋊D59—41no—
484C2×C22⋊D59—41no—
485C2×C22⋊D59—41no—
486C22×Dic59—22no—
487C22×Dic59—41no—
488C22×Dic59—41no—
489C22×Dic59—41no—
490C22×Dic59—41no—
491C22×Dic59—41no—
492C22×Dic59—41no—
493C22×Dic59—41no—
494C22×Dic59—41no—
495C22×Dic59—41no—
496C22×Dic59C2×D414yes—
497C22×Dic59C2×D414yes—
498C22×Dic59C2411yescharacteristic
499C22×Dic59C2411yescharacteristic
500C22×Dic59C2411yescharacteristic
501C22×Dic59C2411yescharacteristic
502C22×Dic59C2411yescharacteristic
503C22×Dic59C2411yescharacteristic
504C22×Dic59C2411yescharacteristic
505C22×Dic59C2411yescharacteristic
506C22×Dic59C2411yescharacteristic
507C22×Dic59C2411yescharacteristic
508C22×Dic59C2411yescharacteristic
509C22×Dic59C2411yescharacteristic
510#11745687—416no—
511C2×D236—22no—
512C2×D236—22no—
513C2×D236—22no—
514C2×D236—22no—
515C2×D236—22no—
516C2×D236—41no—
517C2×D236—41no—
518C2×D236—41no—
519C2×D236—41no—
520C2×D236—41no—
521C2×D236—41no—
522C2×D236—41no—
523C2×D236—41no—
524C2×D236—41no—
525C2×D236—41no—
526C2×C4×D59—22no—
527C2×C4×D59—22no—
528C2×C4×D59—22no—
529C2×C4×D59—22no—
530C2×C4×D59—22no—
531C2×C4×D59—22no—
532C2×C4×D59—22no—
533C2×C4×D59—22no—
534C2×C4×D59—22no—
535C2×C4×D59—22no—
536C2×C4×D59—416no—
537C2×C4×D59—41no—
538C2×C4×D59—41no—
539C2×C4×D59—41no—
540C2×C4×D59—41no—
541C2×C4×D59—41no—
542C2×C4×D59—41no—
543C2×C4×D59—41no—
544C2×C4×D59—41no—
545C2×Dic118—22no—
546C2×Dic118—22no—
547C2×Dic118—41no—
548C4⋊C4×C59—22no—
549C4⋊C4×C59—22no—
550C4⋊C4×C59—41no—
551C22⋊C4×C59—22no—
552C22⋊C4×C59—22no—
553C22⋊C4×C59—22no—
554C22⋊C4×C59—22no—
555C22⋊C4×C59—22no—
556C22⋊C4×C59—41no—
557C22⋊C4×C59—41no—
558C22⋊C4×C59—41no—
559C22⋊C4×C59—41no—
560C22⋊C4×C59—41no—
561C22⋊C4×C59—41no—
562C22⋊C4×C59—41no—
563C22⋊C4×C59—41no—
564C22⋊Dic59—22no—
565C22⋊Dic59—22no—
566C22⋊Dic59—22no—
567C22⋊Dic59—22no—
568C22⋊Dic59—41no—
569C22⋊Dic59—41no—
570C22⋊Dic59—41no—
571C22⋊Dic59—41no—
572C22⋊Dic59—41no—
573C22⋊Dic59—41no—
574C22⋊Dic59—41no—
575C22⋊Dic59C2×D414yes—
576C22⋊Dic59C2×D414yes—
577(C2×D59)⋊C4—22no—
578(C2×D59)⋊C4—22no—
579(C2×D59)⋊C4—22no—
580(C2×D59)⋊C4—22no—
581(C2×D59)⋊C4—22no—
582(C2×D59)⋊C4—22no—
583(C2×D59)⋊C4—22no—
584(C2×D59)⋊C4—22no—
585(C2×D59)⋊C4—22no—
586(C2×D59)⋊C4—22no—
587(C2×D59)⋊C4—22no—
588(C2×D59)⋊C4—22no—
589(C2×D59)⋊C4—22no—
590(C2×D59)⋊C4—22no—
591(C2×D59)⋊C4—41no—
592(C2×D59)⋊C4—41no—
593(C2×D59)⋊C4—41no—
594(C2×D59)⋊C4—41no—
595(C2×D59)⋊C4—41no—
596(C2×D59)⋊C4—41no—
597(C2×D59)⋊C4—41no—
598(C2×D59)⋊C4—41no—
599(C2×D59)⋊C4—41no—
600(C2×D59)⋊C4—41no—
601(C2×D59)⋊C4—41no—
602(C2×D59)⋊C4—41no—
603(C2×D59)⋊C4—41no—
604(C2×D59)⋊C4—41no—
605C4⋊Dic59—22no—
606C4⋊Dic59—22no—
607C4⋊Dic59—22no—
608C4⋊Dic59—22no—
609C4⋊Dic59—22no—
610C4⋊Dic59—22no—
611C4⋊Dic59—41no—
612C4⋊Dic59—41no—
613C4⋊Dic59C2×D414yes—
614Dic59⋊C4—22no—
615Dic59⋊C4—22no—
616Dic59⋊C4—22no—
617Dic59⋊C4—22no—
618Dic59⋊C4—22no—
619Dic59⋊C4—41no—
620Dic59⋊C4—41no—
621Dic59⋊C4—41no—
622Dic59⋊C4—41no—
623Dic59⋊C4—41no—
624Dic59⋊C4—41no—
625Dic59⋊C4—41no—
626C4×Dic59—22no—
627C4×Dic59—22no—
628C4×Dic59—41no—
629C4×Dic59—41no—
630C4×Dic59C2×D414yes—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
637C23×C59—21no—
638C23×C59—21no—
639C23×C59—21no—
640C23×C59—21no—
641C23×C59—21no—
642C23×C59—21no—
643C23×C59—21no—
644C23×C59—21no—
645C23×C59—21no—
646C23×C59—21no—
647C23×C59—21no—
648C23×C59—21no—
649C23×C59—21no—
650C23×C59—21no—
651C23×C59—21no—
652C23×C59—21no—
653C23×C59—21no—
654C23×C59—21no—
655C23×C59—21no—
656C23×C59—21no—
657C23×C59C22×D412yes—
658C23×C59C22×D412yes—
659C23×C59C2511yescharacteristic
660C22×D59—21no—
661C22×D59—21no—
662C22×D59—21no—
663C22×D59—21no—
664C22×D59—21no—
665C22×D59—21no—
666C22×D59—21no—
667C22×D59—21no—
668C22×D59—21no—
669C22×D59—21no—
670C22×D59—21no—
671C22×D59—21no—
672C22×D59—21no—
673C22×D59—21no—
674C22×D59—21no—
675C22×D59—21no—
676C22×D59—21no—
677C22×D59—21no—
678C22×D59—21no—
679C22×D59—21no—
680C22×D59—21no—
681C22×D59—21no—
682C22×D59—21no—
683C22×D59—21no—
684C22×D59—21no—
685C22×D59—21no—
686C22×D59—44no—
687C22×D59—44no—
688C22×D59—44no—
689C22×D59—44no—
690C22×D59—44no—
691C22×D59—44no—
692C22×D59—44no—
693C22×D59H(5,𝔽2)12yes—
694C22×D59H(5,𝔽2)12yes—
695D4×C59—44no—
696D4×C59—44no—
697D4×C59—44no—
698D4×C59—82no—
699D4×C59—82no—
700D4×C59—82no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—44no—
733C2×C4×C59—44no—
734C2×C4×C59—82no—
735C2×C4×C59C22×D412yes—
736C2×C4×C59H(5,𝔽2)12yes—
737C22⋊D59—44no—
738C22⋊D59—44no—
739C22⋊D59—44no—
740C22⋊D59—44no—
741C22⋊D59—82no—
742C22⋊D59—82no—
743C22⋊D59—82no—
744C22⋊D59—82no—
745C22⋊D59—82no—
746C22⋊D59—82no—
747C22⋊D59—82no—
748C22⋊D59—82no—
749C22⋊D59—82no—
750C22⋊D59—82no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—44no—
784C2×Dic59—44no—
785C2×Dic59—44no—
786C2×Dic59—82no—
787C2×Dic59C22×D412yes—
788C2×Dic59C22×D412yes—
789C2×Dic59C22×D412yes—
790C2×Dic59C22×D412yes—
791D236—44no—
792D236—82no—
793D236—82no—
794D236—82no—
795D236—82no—
796C4×D59—28no—
797C4×D59—44no—
798C4×D59—44no—
799C4×D59—44no—
800C4×D59—82no—
801C4×D59—82no—
802Dic118—44no—
803#36713—591nomaximal, Sylow
804C22×C59—22no—
805C22×C59—22no—
806C22×C59—22no—
807C22×C59—22no—
808C22×C59—22no—
809C22×C59—22no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59—41no—
822C22×C59—41no—
823C22×C59—41no—
824C22×C59—41no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59C23×D411yescharacteristic
833C22×C59C2×H(5,𝔽2)11yescharacteristic
834C22×C59C2×H(5,𝔽2)11yescharacteristic
835C22×C59C2×H(5,𝔽2)11yescharacteristic
836C22×C59#58511yescharacteristic
837C22×C59#58511yescharacteristic
838C22×C59#58511yescharacteristic
839C2×D59—22no—
840C2×D59—22no—
841C2×D59—22no—
842C2×D59—22no—
843C2×D59—22no—
844C2×D59—22no—
845C2×D59—416no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C4×C59—22no—
869C4×C59—22no—
870C4×C59—41no—
871C4×C59—41no—
872C4×C59—41no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878C4×C59—41no—
879Dic59—22no—
880Dic59—22no—
881Dic59—22no—
882Dic59—22no—
883Dic59—41no—
884Dic59—41no—
885Dic59—41no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891C2×#540—591no—
892C2×#525—591no—
893#2849—591no—
894#2847—591no—
895#2694—591no—
896#2693—591no—
897#2690—591no—
898#2688D5911yescharacteristic, complemented
899#2687—591no—
900#2678—591no—
901#2676—591no—
902#2675—591no—
903#2673—591no—
904#2673—591no—
905#2672—591no—
906#2671—591no—
907#2671—591no—
908#2669—591no—
909#2669—591no—
910#2668—591no—
911#2635—591no—
912#2630—591no—
913#2609—591no—
914#2602—591no—
915#2598—591no—
916#2598—591no—
917#2543—591no—
918#2535—591no—
919#2431—591no—
920#2430—591no—
921#2318—591no—
922C2×C59—42no—
923C2×C59—42no—
924C2×C59—81no—
925C2×C59—81no—
926C2×C59#344911yescharacteristic
927C2×C59#348411yescharacteristic
928C2×C59#348811yescharacteristic
929C2×C59#353311yescharacteristic
930C2×C59#353411yescharacteristic
931C2×C59#353911yescharacteristic
932C2×C59#354211yescharacteristic
933D59—42no—
934D59—42no—
935D59—81no—
936D59—81no—
937C22×#41—591no—
938C24×C4—591no—
939#540—1188no—
940C2×#127—591no—
941C2×#127—591no—
942C2×#125—591no—
943C2×#124—591no—
944#525—1188no—
945C2×#123—591no—
946C2×#123—591no—
947C2×#123—591no—
948C2×#123—591no—
949C2×#123—591no—
950C2×#123—591no—
951C2×#123—591no—
952C2×C22⋊Q8—591no—
953C2×C22⋊Q8—591no—
954C2×#121—591no—
955C2×#121—591no—
956C2×#121—591no—
957C2×#121—591no—
958C2×#121—591no—
959C2×#121—591no—
960C2×#121—591no—
961C2×#121—591no—
962C2×#121—591no—
963C2×#121—591no—
964C2×#121—591no—
965C2×#121—591no—
966C2×#121—591no—
967C2×#121—591no—
968C2×#121C2×D5911yescharacteristic
969C2×#121C2×D5911yescharacteristic
970C2×#120—591no—
971C2×#120—591no—
972C2×#120—591no—
973C2×#120—591no—
974C2×#120—591no—
975C2×C4×D4—591no—
976C2×C4×D4—591no—
977C2×C4×D4—591no—
978C2×C4×D4—591no—
979C2×C4×D4—591no—
980C2×#117—591no—
981C2×#117—591no—
982#400—591no—
983#400—591no—
984#400C2×D5911yescharacteristic, complemented
985#399—591no—
986#399—591no—
987#399—591no—
988#398—591no—
989#398—591no—
990#398—591no—
991#397—591no—
992#397—591no—
993#397—591no—
994#397C2×D5911yescharacteristic, complemented
995#397C2×D5911yescharacteristic, complemented
996#396—591no—
997#396—591no—
998#396—591no—
999#396—591no—
1000#395—591no—
1001#394—591no—
1002#394—591no—
1003#394—591no—
1004#394—591no—
1005#394—591no—
1006#394—591no—
1007#394—591no—
1008#394—591no—
1009#394—591no—
1010#394—591no—
1011#394—591no—
1012#394—591no—
1013#394C2×D5911yescharacteristic
1014#393—591no—
1015#392—591no—
1016#392—591no—
1017#392—591no—
1018#392—591no—
1019#392—591no—
1020#392—591no—
1021#392—591no—
1022#392—591no—
1023#392—591no—
1024#392—591no—
1025#392—591no—
1026#392—591no—
1027#392—591no—
1028#392C2×D5911yescharacteristic
1029#392C2×D5911yescharacteristic, complemented
1030#391—591no—
1031#390—591no—
1032#390—591no—
1033#389—591no—
1034#388—591no—
1035#388—591no—
1036#388—591no—
1037#388—591no—
1038#388—591no—
1039#388—591no—
1040#388—591no—
1041#388—591no—
1042#388—591no—
1043#388—591no—
1044#387—591no—
1045#387—591no—
1046#387—591no—
1047#387—591no—
1048#386—591no—
1049#386—591no—
1050#386—591no—
1051#386—591no—
1052#386—591no—
1053#386—591no—
1054#386—591no—
1055#386—591no—
1056#386—591no—
1057#386—591no—
1058#386—591no—
1059#386—591no—
1060#386—591no—
1061#386—591no—
1062#386—591no—
1063#386—591no—
1064#386—591no—
1065#386—591no—
1066#386—591no—
1067#386C2×D5911yescharacteristic
1068#386C2×D5911yescharacteristic
1069#386C2×D5911yescharacteristic, complemented
1070#386C2×D5911yescharacteristic, complemented
1071#386C2×D5911yescharacteristic, complemented
1072#385—591no—
1073#385—591no—
1074#385—591no—
1075#385—591no—
1076#385—591no—
1077#385—591no—
1078#385—591no—
1079#385—591no—
1080#385—591no—
1081#385C2×D5911yescharacteristic, complemented
1082#383—591no—
1083#382—591no—
1084#381—591no—
1085#381C2×D5911yescharacteristic
1086#380—591no—
1087#380—591no—
1088#380—591no—
1089#380—591no—
1090#380—591no—
1091#379—591no—
1092C4×C22⋊C4—591no—
1093C2×#95—591no—
1094C59#3671311yescharacteristic, complemented, Sylow
1095C25—591no—
1096C2×#41—1184no—
1097C2×#41—2362no—
1098C2×#41—2362no—
1099C22×Q8—591no—
1100C22×D4—591no—
1101C22×D4—591no—
1102C22×D4—591no—
1103C22×D4—591no—
1104C22×D4—591no—
1105C22×D4—591no—
1106C22×D4—591no—
1107C22×D4—591no—
1108C22×D4—591no—
1109C22×D4—591no—
1110C22×D4—591no—
1111C22×D4—591no—
1112C22×D4—591no—
1113C22×D4—591no—
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—591no—
1117C22×D4—591no—
1118C22×D4—591no—
1119C22×D4C22×D5911yescharacteristic
1120C22×D4C22×D5911yescharacteristic
1121C22×D4C22×D5911yescharacteristic
1122C22×D4C22×D5911yescharacteristic
1123C22×D4C22×D5911yescharacteristic
1124C22×D4C22×D5911yescharacteristic
1125C23×C4—591no—
1126C23×C4—591no—
1127C23×C4—591no—
1128C23×C4—591no—
1129C23×C4—591no—
1130C23×C4—591no—
1131C23×C4—591no—
1132C23×C4—591no—
1133C23×C4—591no—
1134C23×C4—591no—
1135C23×C4—1184no—
1136C23×C4—2362no—
1137C23×C4—2362no—
1138C23×C4C22×D5911yescharacteristic
1139C23×C4C22×D5911yescharacteristic
1140C23×C4C22×D5911yescharacteristic
1141#127—1184no—
1142#127—2362no—
1143#125—1184no—
1144#124—2362no—
1145#123—1184no—
1146#123—1184no—
1147#123—1184no—
1148#123—1184no—
1149#123—1184no—
1150#123—1184no—
1151#123—2362no—
1152C22⋊Q8—1184no—
1153C22⋊Q8—1184no—
1154#121—24no—
1155#121—24no—
1156#121—1184no—
1157#121—1184no—
1158#121—1184no—
1159#121—1184no—
1160#121—1184no—
1161#121—1184no—
1162#121—2362no—
1163#121—2362no—
1164#121—2362no—
1165#121—2362no—
1166#121—2362no—
1167#121—2362no—
1168#121—2362no—
1169#121—2362no—
1170#120—1184no—
1171#120—1184no—
1172#120—2362no—
1173#120—2362no—
1174#120—2362no—
1175C4×D4—598no—
1176C4×D4—1184no—
1177C4×D4—1184no—
1178C4×D4—1184no—
1179C4×D4—1184no—
1180#117—1184no—
1181#117—1184no—
1182C2×C4⋊C4—591no—
1183C2×C4⋊C4—591no—
1184C2×C4⋊C4—591no—
1185C2×C4⋊C4—591no—
1186C2×C4⋊C4—591no—
1187C2×C4⋊C4—591no—
1188C2×C4⋊C4—591no—
1189C2×C4⋊C4—591no—
1190C2×C4⋊C4—591no—
1191C2×C4⋊C4—591no—
1192C2×C4⋊C4—591no—
1193C2×C4⋊C4—591no—
1194C2×C4⋊C4—591no—
1195C2×C4⋊C4—591no—
1196C2×C4⋊C4—591no—
1197C2×C4⋊C4—591no—
1198C2×C4⋊C4—591no—
1199C2×C4⋊C4—591no—
1200C2×C4⋊C4—591no—
1201C2×C4⋊C4—591no—
1202C2×C4⋊C4—591no—
1203C2×C4⋊C4C22×D5911yescharacteristic
1204C2×C4⋊C4C22×D5911yescharacteristic
1205C2×C4⋊C4C22×D5911yescharacteristic
1206C2×C22⋊C4—591no—
1207C2×C22⋊C4—591no—
1208C2×C22⋊C4—591no—
1209C2×C22⋊C4—591no—
1210C2×C22⋊C4—591no—
1211C2×C22⋊C4—591no—
1212C2×C22⋊C4—591no—
1213C2×C22⋊C4—591no—
1214C2×C22⋊C4—591no—
1215C2×C22⋊C4—591no—
1216C2×C22⋊C4—591no—
1217C2×C22⋊C4—591no—
1218C2×C22⋊C4—591no—
1219C2×C22⋊C4—591no—
1220C2×C22⋊C4—591no—
1221C2×C22⋊C4—591no—
1222C2×C22⋊C4—591no—
1223C2×C22⋊C4—591no—
1224C2×C22⋊C4—591no—
1225C2×C22⋊C4—591no—
1226C2×C22⋊C4—591no—
1227C2×C22⋊C4—591no—
1228C2×C22⋊C4—591no—
1229C2×C22⋊C4—591no—
1230C2×C22⋊C4—591no—
1231C2×C22⋊C4—591no—
1232C2×C22⋊C4—591no—
1233C2×C22⋊C4—591no—
1234C2×C22⋊C4—591no—
1235C2×C22⋊C4—591no—
1236C2×C22⋊C4—591no—
1237C2×C22⋊C4—591no—
1238C2×C22⋊C4—591no—
1239C2×C22⋊C4—591no—
1240C2×C22⋊C4—591no—
1241C2×C22⋊C4—591no—
1242C2×C22⋊C4—591no—
1243C2×C22⋊C4—591no—
1244C2×C22⋊C4—591no—
1245C2×C22⋊C4—591no—
1246C2×C22⋊C4—591no—
1247C2×C22⋊C4C22×D5911yescharacteristic
1248C2×C22⋊C4C22×D5911yescharacteristic
1249C2×C22⋊C4C22×D5911yescharacteristic
1250C2×C22⋊C4C22×D5911yescharacteristic
1251C2×C22⋊C4C22×D5911yescharacteristic
1252C2×C22⋊C4C22×D5911yescharacteristic
1253C2×C22⋊C4C22×D5911yescharacteristic
1254C2×C22⋊C4C22×D5911yescharacteristic
1255C2×C22⋊C4C22×D5911yescharacteristic
1256C2×C22⋊C4C22×D5911yescharacteristic
1257C2×C22⋊C4C22×D5911yescharacteristic
1258C2×C22⋊C4C22×D5911yescharacteristic
1259C2×C22⋊C4C22×D5911yescharacteristic
1260C2×C42—591no—
1261C2×C42—591no—
1262C2×C42—591no—
1263C2×C42—591no—
1264C2×C42—591no—
1265#95—591no—
1266#95—591no—
1267#95—591no—
1268#95—591no—
1269#95—591no—
1270#95—591no—
1271#95—591no—
1272#95—591no—
1273#95—591no—
1274#95—591no—
1275#95—591no—
1276#95—591no—
1277#95—591no—
1278#95—591no—
1279#95—591no—
1280#95—591no—
1281#95—591no—
1282#95—591no—
1283#95—591no—
1284#95—591no—
1285#95—591no—
1286#95—591no—
1287#95C22×D5911yescharacteristic
1288#95C22×D5911yescharacteristic
1289#95C22×D5911yescharacteristic
1290#95C22×D5911yescharacteristic
1291#95C22×D5911yescharacteristic
1292#95C22×D5911yescharacteristic
1293#95C22×D5911yescharacteristic
1294#95C22×D5911yescharacteristic
1295#95C22×D5911yescharacteristic
1296#95C22×D5911yescharacteristic
1297C24—591no—
1298C24—591no—
1299C24—591no—
1300C24—591no—
1301C24—1182no—
1302C24—1182no—
1303C24—1182no—
1304C24—2361no—
1305C24—2361no—
1306C24—2361no—
1307C24—2361no—
1308C24C23×D5911yescharacteristic
1309C24C23×D5911yescharacteristic
1310C24C23×D5911yescharacteristic
1311C24C23×D5911yescharacteristic
1312#41—23616no—
1313C2×Q8—1182no—
1314C2×Q8—1182no—
1315C2×Q8—2361no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—41no—
1324C2×D4—41no—
1325C2×D4—41no—
1326C2×D4—41no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—1182no—
1334C2×D4—1182no—
1335C2×D4—1182no—
1336C2×D4—1182no—
1337C2×D4—1182no—
1338C2×D4—1182no—
1339C2×D4—1182no—
1340C2×D4—1182no—
1341C2×D4—1182no—
1342C2×D4—1182no—
1343C2×D4—1182no—
1344C2×D4—1182no—
1345C2×D4—1182no—
1346C2×D4—1182no—
1347C2×D4—1182no—
1348C2×D4—1182no—
1349C2×D4—1182no—
1350C2×D4—1182no—
1351C2×D4—1182no—
1352C2×D4—1182no—
1353C2×D4—1182no—
1354C2×D4—2361no—
1355C2×D4—2361no—
1356C2×D4—2361no—
1357C2×D4—2361no—
1358C2×D4—2361no—
1359C2×D4—2361no—
1360C2×D4—2361no—
1361C2×D4—2361no—
1362C2×D4—2361no—
1363C2×D4—2361no—
1364C2×D4—2361no—
1365C2×D4—2361no—
1366C2×D4—2361no—
1367C2×D4—2361no—
1368C2×D4—2361no—
1369C2×D4—2361no—
1370C2×D4—2361no—
1371C2×D4—2361no—
1372C2×D4—2361no—
1373C2×D4—2361no—
1374C2×D4—2361no—
1375C2×D4—2361no—
1376C2×D4—2361no—
1377C2×D4—2361no—
1378C2×D4—2361no—
1379C2×D4—2361no—
1380C2×D4—2361no—
1381C2×D4—2361no—
1382C2×D4—2361no—
1383C2×D4—2361no—
1384C2×D4—2361no—
1385C2×D4—2361no—
1386C2×D4—2361no—
1387C2×D4—2361no—
1388C2×D4—2361no—
1389C2×D4—2361no—
1390C2×D4D4×D5914yes—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—591no—
1401C22×C4—591no—
1402C22×C4—591no—
1403C22×C4—591no—
1404C22×C4—594no—
1405C22×C4—594no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—591no—
1409C22×C4—591no—
1410C22×C4—591no—
1411C22×C4—591no—
1412C22×C4—591no—
1413C22×C4—591no—
1414C22×C4—1182no—
1415C22×C4—1182no—
1416C22×C4—1182no—
1417C22×C4—1182no—
1418C22×C4—1182no—
1419C22×C4—1182no—
1420C22×C4—1182no—
1421C22×C4—1182no—
1422C22×C4—1182no—
1423C22×C4—1182no—
1424C22×C4—1182no—
1425C22×C4—2361no—
1426C22×C4—2361no—
1427C22×C4—2361no—
1428C22×C4—2361no—
1429C22×C4—2361no—
1430C22×C4—2361no—
1431C22×C4—2361no—
1432C22×C4—2361no—
1433C22×C4—23616no—
1434C22×C4—2361no—
1435C22×C4—2361no—
1436C22×C4—2361no—
1437C22×C4—2361no—
1438C22×C4—2361no—
1439C22×C4—2361no—
1440C22×C4—2361no—
1441C22×C4—2361no—
1442C22×C4—2361no—
1443C22×C4C23×D5911yescharacteristic
1444C22×C4C23×D5911yescharacteristic
1445C22×C4C23×D5911yescharacteristic
1446C22×C4C23×D5911yescharacteristic
1447C22×C4C23×D5911yescharacteristic
1448C22×C4C23×D5911yescharacteristic
1449C22×C4C23×D5911yescharacteristic
1450C22×C4C23×D5911yescharacteristic
1451C22×C4C23×D5911yescharacteristic
1452C22×C4C23×D5911yescharacteristic
1453C22×C4C23×D5911yescharacteristic
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—41no—
1457C4⋊C4—594no—
1458C4⋊C4—1182no—
1459C4⋊C4—1182no—
1460C4⋊C4—1182no—
1461C4⋊C4—1182no—
1462C4⋊C4—1182no—
1463C4⋊C4—1182no—
1464C4⋊C4—1182no—
1465C4⋊C4—1182no—
1466C4⋊C4—1182no—
1467C4⋊C4—1182no—
1468C4⋊C4—1182no—
1469C4⋊C4—2361no—
1470C4⋊C4—2361no—
1471C4⋊C4—2361no—
1472C4⋊C4—2361no—
1473C4⋊C4—2361no—
1474C4⋊C4—2361no—
1475C4⋊C4—2361no—
1476C4⋊C4—2361no—
1477C4⋊C4—2361no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—594no—
1492C22⋊C4—594no—
1493C22⋊C4—1182no—
1494C22⋊C4—1182no—
1495C22⋊C4—1182no—
1496C22⋊C4—1182no—
1497C22⋊C4—1182no—
1498C22⋊C4—1182no—
1499C22⋊C4—1182no—
1500C22⋊C4—1182no—
1501C22⋊C4—1182no—
1502C22⋊C4—1182no—
1503C22⋊C4—1182no—
1504C22⋊C4—1182no—
1505C22⋊C4—1182no—
1506C22⋊C4—1182no—
1507C22⋊C4—1182no—
1508C22⋊C4—1182no—
1509C22⋊C4—1182no—
1510C22⋊C4—1182no—
1511C22⋊C4—2361no—
1512C22⋊C4—2361no—
1513C22⋊C4—2361no—
1514C22⋊C4—2361no—
1515C22⋊C4—2361no—
1516C22⋊C4—2361no—
1517C22⋊C4—2361no—
1518C22⋊C4—2361no—
1519C22⋊C4—2361no—
1520C22⋊C4—2361no—
1521C22⋊C4—2361no—
1522C22⋊C4—2361no—
1523C22⋊C4—2361no—
1524C22⋊C4—2361no—
1525C22⋊C4—2361no—
1526C22⋊C4—2361no—
1527C22⋊C4—2361no—
1528C22⋊C4—2361no—
1529C22⋊C4—2361no—
1530C22⋊C4—2361no—
1531C22⋊C4—2361no—
1532C42—594no—
1533C42—1182no—
1534C42—1182no—
1535C42—2361no—
1536C42—2361no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—592no—
1564C23—592no—
1565C23—1181no—
1566C23—1181no—
1567C23—1181no—
1568C23—1181no—
1569C23—1181no—
1570C23—1181no—
1571C23—1181no—
1572C23—1181no—
1573C23—1181no—
1574C23—1181no—
1575C23—1181no—
1576C23—1181no—
1577C23—1181no—
1578C23—1181no—
1579C23—1181no—
1580C23—1181no—
1581C23—1181no—
1582C23—1181no—
1583C23—1181no—
1584C23—1181no—
1585C23—1181no—
1586C23—1181no—
1587C23—1181no—
1588C23—1181no—
1589C23—1181no—
1590C23—1181no—
1591C23—2364no—
1592C23—2364no—
1593C23—2364no—
1594C23—2364no—
1595C23—2364no—
1596C23—2364no—
1597C23—2364no—
1598C23C2×D4×D5912yes—
1599C23C2×D4×D5912yes—
1600C23C24×D5911yescharacteristic
1601Q8—2364no—
1602D4—44no—
1603D4—44no—
1604D4—44no—
1605D4—82no—
1606D4—82no—
1607D4—82no—
1608D4—4722no—
1609D4—4722no—
1610D4—4722no—
1611D4—4722no—
1612D4—4722no—
1613D4—4722no—
1614D4—4722no—
1615D4—4722no—
1616D4—4722no—
1617D4—4722no—
1618D4—4722no—
1619D4—4722no—
1620D4—4722no—
1621D4—4722no—
1622D4—2364no—
1623D4—2364no—
1624D4—2364no—
1625D4—2364no—
1626D4—2364no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—44no—
1659C2×C4—44no—
1660C2×C4—82no—
1661C2×C4—592no—
1662C2×C4—592no—
1663C2×C4—592no—
1664C2×C4—592no—
1665C2×C4—1188no—
1666C2×C4—1181no—
1667C2×C4—1181no—
1668C2×C4—1181no—
1669C2×C4—1181no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—1181no—
1685C2×C4—1181no—
1686C2×C4—1181no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—1181no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—1181no—
1696C2×C4—1181no—
1697C2×C4—1181no—
1698C2×C4—4722no—
1699C2×C4—4722no—
1700C2×C4—4722no—
1701C2×C4—2364no—
1702C2×C4—2364no—
1703C2×C4—2364no—
1704C2×C4—2364no—
1705C2×C4—2364no—
1706C2×C4—2364no—
1707C2×C4C2×D4×D5912yes—
1708C2×C4#1427377312yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—1182no—
1738C22—1182no—
1739C22—1182no—
1740C22—1182no—
1741C22—1182no—
1742C22—1182no—
1743C22—23616no—
1744C22—2361no—
1745C22—2361no—
1746C22—2361no—
1747C22—2361no—
1748C22—2361no—
1749C22—2361no—
1750C22—2361no—
1751C22—2361no—
1752C22—2361no—
1753C22—2361no—
1754C22—2361no—
1755C22—2361no—
1756C22—2361no—
1757C22—2361no—
1758C22—2361no—
1759C22—2361no—
1760C22—2361no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22C22×D4×D5911yescharacteristic
1767C22H(5,𝔽2)×D5911yescharacteristic
1768C22H(5,𝔽2)×D5911yescharacteristic
1769C22C2×#1427377311yescharacteristic
1770C22#1683823711yescharacteristic
1771C22#1683823711yescharacteristic
1772C22#1683823811yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—1182no—
1785C4—1182no—
1786C4—1182no—
1787C4—1182no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4—2361no—
1792C4—2361no—
1793C4—2361no—
1794C4—2361no—
1795C4—2361no—
1796C2—42no—
1797C2—42no—
1798C2—81no—
1799C2—81no—
1800C2—4721no—
1801C2—4721no—
1802C2—2362no—
1803C2—2362no—
1804C2#2143742211yescharacteristic
1805C2#2143772611yescharacteristic
1806C2#2143775911yescharacteristic
1807C2#2143826311yescharacteristic
1808C2#2143827711yescharacteristic
1809C2#2143835311yescharacteristic
1810C2#2143841811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2688C2
hypercenter#2688D59
hypocenterC59#36713
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2688

Complements

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

NH ≅ G/Ntype
1. C2×#16838005C2semidirect
2. C2×#16837912C2semidirect
3. #21432389C2semidirect
4. #21432377C2semidirect
5. #21430621C2semidirect
6. #21430600C2semidirect
7. #21430569C2semidirect
8. #21430517C2semidirect
9. #21430427C2semidirect
10. #21430400C2semidirect
11. #21430388C2semidirect
12. #21430359C2semidirect
13. #21430358C2semidirect
14. #21430351C2semidirect
15. #21430333C2semidirect
16. #21430333C2semidirect
17. #21430315C2semidirect
18. #21430314C2semidirect
19. #21430299C2semidirect
20. #21429979C2semidirect
21. #21429934C2semidirect
22. #21429772C2semidirect
23. #21429703C2semidirect
24. #21429665C2semidirect
25. #21429658C2semidirect
26. #21429060C2semidirect
27. #21428994C2semidirect
28. #21427710C2semidirect
29. #21427704C2semidirect
30. #21426722C2semidirect
31. C59×#2688C2semidirect
37. C2×#14273718C22semidirect
38. C2×#14273713C22semidirect
41. C2×#14273711C22semidirect
46. C2×#14273709C22semidirect
51. C2×#14273701C22semidirect
58. C2×#14273699C22semidirect
59. C2×#14273699C22semidirect
62. C2×#14273698C22semidirect
70. C2×#14273689C22semidirect
73. C2×#14273686C22semidirect
75. #16837344C22semidirect
76. #16837344C22semidirect
77. #16837338C22semidirect
78. #16837338C22semidirect
80. #16837336C22semidirect
81. #16837334C22semidirect
82. #16837334C22semidirect
86. #16837325C22semidirect
87. #16837325C22semidirect
89. #16837324C22semidirect
90. #16837323C22semidirect
91. #16837319C22semidirect
96. #16837318C22semidirect
99. #16837317C22semidirect
100. #16837317C22semidirect
101. #16837317C22semidirect
103. #16837315C22semidirect
110. #16837311C22semidirect
115. #16837310C22semidirect
116. #16837310C22semidirect
117. #16837306C22semidirect
120. #16837299C22semidirect
122. #16837295C22semidirect
126. #16837291C22semidirect
127. #16837291C22semidirect
128. #16837291C22semidirect
130. #16837290C22semidirect
131. #16837288C22semidirect
132. #16837287C22semidirect
133. #16837285C22semidirect
134. #16837283C22semidirect
136. #16837282C22semidirect
149. #16837279C22semidirect
150. #16837279C22semidirect
151. #16837279C22semidirect
154. #16837277C22semidirect
159. #16837276C22semidirect
160. #16837276C22semidirect
161. #16837275C22semidirect
162. #16837274C22semidirect
163. #16837269C22semidirect
164. #16837266C22semidirect
168. #16837261C22semidirect
169. #16837261C22semidirect
172. C22⋊C4×Dic59C22semidirect
173. C2×C59⋊#95C22semidirect
176. C59×#400C22semidirect
177. C59×#397C22semidirect
178. C59×#397C22semidirect
181. C59×#392C22semidirect
184. C59×#386C22semidirect
185. C59×#386C22semidirect
186. C59×#386C22semidirect
187. C59×#385C22semidirect
259. D4×Dic59D4semidirect
898. #2688D59semidirect
984. #400C2×D59semidirect
994. #397C2×D59semidirect
995. #397C2×D59semidirect
1029. #392C2×D59semidirect
1069. #386C2×D59semidirect
1070. #386C2×D59semidirect
1071. #386C2×D59semidirect
1081. #385C2×D59semidirect
1094. C59#36713semidirect

Maximal subgroups

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

subgroupindex
C2×#168380052
C2×#168379122
#214323892
#214323772
#214306212
#214306002
#214305692
#214305172
#214304272
#214304002
#214303882
#214303592
#214303582
#214303512
#214303332
#214303152
#214303142
#214302992
#214299792
#214299342
#214297722
#214297032
#214296652
#214296582
#214290602
#214289942
#214277102
#214277042
#214267222
C59×#26882
#3671359