Finite Group Databasebeta

← #29846435

Subgroups — #29846435

Order 15616.

2982 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840271C211yesmaximal, characteristic, complemented
2C2×C4×D4×D61C211yesmaximal, characteristic, complemented
3#21451738C211yesmaximal, characteristic, complemented
4#21451735C211yesmaximal, characteristic, complemented
5#21451705C211yesmaximal, characteristic, complemented
6#21451702C211yesmaximal, characteristic, complemented
7#21451669C211yesmaximal, characteristic, complemented
8#21451667C211yesmaximal, characteristic, complemented
9#21451665C211yesmaximal, characteristic, complemented
10#21451663C211yesmaximal, characteristic, complemented
11#21451637C211yesmaximal, characteristic, complemented
12#21451629C211yesmaximal, characteristic, complemented
13#21451593C211yesmaximal, characteristic, complemented
14#21451591C211yesmaximal, characteristic, complemented
15#21451566C211yesmaximal, characteristic, complemented
16#21451558C211yesmaximal, characteristic, complemented
17#21451532C211yesmaximal, characteristic, complemented
18#21451530C211yesmaximal, characteristic, complemented
19#21449082C211yesmaximal, characteristic, complemented
20#21449080C211yesmaximal, characteristic, complemented
21#21449061C211yesmaximal, characteristic, complemented
22#21449061C211yesmaximal, characteristic, complemented
23#21449055C211yesmaximal, characteristic, complemented
24#21449035C211yesmaximal, characteristic, complemented
25#21449034C211yesmaximal, characteristic, complemented
26C4×#14519762C211yesmaximal, characteristic, complemented
27C4×#14519759C211yesmaximal, characteristic, complemented
28C4×#14519747C211yesmaximal, characteristic, complemented
29C4×#14519745C211yesmaximal, characteristic, complemented
30#21448198C211yesmaximal, characteristic, complemented
31C61×#2392C211yesmaximal, characteristic, complemented
32C22×#11758222C2211yescharacteristic, complemented
33C22×D4×D61C2211yescharacteristic
34C23×C4×D61C2211yescharacteristic
35C23×C4×D61C2211yescharacteristic
36#16840271—28no—
37C2×#14519762C2211yescharacteristic
38C2×#14519762C2211yescharacteristic, complemented
39C2×#14519759C2211yescharacteristic
40C2×#14519759C2211yescharacteristic, complemented
41C2×#14519755C2211yescharacteristic
42C2×#14519754C2211yescharacteristic, complemented
43C2×#14519750C2211yescharacteristic
44C2×#14519749C2211yescharacteristic, complemented
45C2×#14519747C2211yescharacteristic
46C2×#14519747C2211yescharacteristic
47C2×#14519745C2211yescharacteristic
48C2×#14519745C2211yescharacteristic
49C2×C4×D244C2211yescharacteristic
50C2×C4×D244C2211yescharacteristic
51C2×C4×D244C2211yescharacteristic, complemented
52C2×D4×Dic61C2211yescharacteristic
53C2×#14519739C2211yescharacteristic
54C2×C4×C22⋊D61C2211yescharacteristic
55C2×C4×C22⋊D61C2211yescharacteristic
56C2×C4×C22⋊D61C2211yescharacteristic
57C2×C4×C22⋊D61C2211yescharacteristic, complemented
58C2×C4×C22⋊D61C2211yescharacteristic, complemented
59C2×C4×C22⋊D61C2211yescharacteristic, complemented
60C2×#14519737C2211yescharacteristic
61C2×#14519737C2211yescharacteristic
62C4×D4×D61—28no—
63C2×#14519736C2211yescharacteristic, complemented
64C2×#14519734C2211yescharacteristic, complemented
65C2×C4⋊C4×D61C2211yescharacteristic
66C2×C22⋊C4×D61C2211yescharacteristic
67C2×C22⋊C4×D61C2211yescharacteristic
68C2×C42×D61C2211yescharacteristic
69#16839704C2211yescharacteristic, complemented
70#16839703C2211yescharacteristic, complemented
71#16839698C2211yescharacteristic, complemented
72#16839697C2211yescharacteristic, complemented
73#16839696C2211yescharacteristic, complemented
74#16839695C2211yescharacteristic, complemented
75#16839695C2211yescharacteristic, complemented
76#16839695C2211yescharacteristic, complemented
77#16839692C2211yescharacteristic, complemented
78#16839691C2211yescharacteristic, complemented
79#16839691C2211yescharacteristic, complemented
80#16839691C2211yescharacteristic, complemented
81#16839690C2211yescharacteristic, complemented
82#16839690C2211yescharacteristic, complemented
83#16839690C2211yescharacteristic, complemented
84#16839689C2211yescharacteristic, complemented
85#16839688C2211yescharacteristic, complemented
86#16839687C2211yescharacteristic, complemented
87#16839685C2211yescharacteristic, complemented
88#16839685C2211yescharacteristic, complemented
89#16839684C2211yescharacteristic, complemented
90#16839684C2211yescharacteristic, complemented
91#16839684C2211yescharacteristic, complemented
92#16839684C2211yescharacteristic, complemented
93#16839683C2211yescharacteristic, complemented
94#16839682C2211yescharacteristic, complemented
95#16839680C2211yescharacteristic
96#16839680C2211yescharacteristic, complemented
97#16839679C2211yescharacteristic
98#16839679C2211yescharacteristic, complemented
99#16839679C2211yescharacteristic, complemented
100#16839678C2211yescharacteristic
101#16839678C2211yescharacteristic
102#16839678C2211yescharacteristic, complemented
103#16839678C2211yescharacteristic, complemented
104#16839678C2211yescharacteristic, complemented
105#16839678C2211yescharacteristic, complemented
106#16839678C2211yescharacteristic, complemented
107#16839677C2211yescharacteristic
108#16839677C2211yescharacteristic
109#16839677C2211yescharacteristic, complemented
110#16839677C2211yescharacteristic, complemented
111#16839677C2211yescharacteristic, complemented
112#16839676C2211yescharacteristic
113#16839676C2211yescharacteristic, complemented
114#16839675C2211yescharacteristic, complemented
115#16839674C2211yescharacteristic, complemented
116#16839672C2211yescharacteristic
117#16839671C2211yescharacteristic
118#16839671C2211yescharacteristic
119#16839671C2211yescharacteristic
120#16839671C2211yescharacteristic, complemented
121#16839670C2211yescharacteristic
122#16839670C2211yescharacteristic
123#16839670C2211yescharacteristic
124#16839670C2211yescharacteristic, complemented
125#16839656C2211yescharacteristic, complemented
126#16839655C2211yescharacteristic, complemented
127#16839652C2211yescharacteristic, complemented
128#16839651C2211yescharacteristic, complemented
129#16839649C2211yescharacteristic, complemented
130#16839648C2211yescharacteristic, complemented
131#16839645C2211yescharacteristic, complemented
132#16839644C2211yescharacteristic, complemented
133#16839642C2211yescharacteristic, complemented
134#16839640C2211yescharacteristic
135#16839640C2211yescharacteristic
136#16839640C2211yescharacteristic, complemented
137#16839639C2211yescharacteristic, complemented
138#16839638C2211yescharacteristic
139#16839638C2211yescharacteristic
140#16839638C2211yescharacteristic, complemented
141#16839637C2211yescharacteristic, complemented
142#16839636C2211yescharacteristic
143#16839636C2211yescharacteristic
144#16839636C2211yescharacteristic, complemented
145#16839634C2211yescharacteristic, complemented
146#16839633C2211yescharacteristic
147#16839633C2211yescharacteristic
148#16839633C2211yescharacteristic, complemented
149#16839624C2211yescharacteristic
150#16839624C2211yescharacteristic
151#16839623C2211yescharacteristic, complemented
152#16839623C2211yescharacteristic, complemented
153#16839619C2211yescharacteristic
154#16839619C2211yescharacteristic
155#16839619C2211yescharacteristic, complemented
156#16839619C2211yescharacteristic, complemented
157#16839617C2211yescharacteristic
158#16839617C2211yescharacteristic
159#16839617C2211yescharacteristic
160#16839617C2211yescharacteristic
161C4×#11758196C2211yescharacteristic, complemented
162C4×#11758196C2211yescharacteristic, complemented
163C4×C4⋊Dic61C2211yescharacteristic, complemented
164C4×#11758198C2211yescharacteristic
165C4×#11758198C2211yescharacteristic
166C4×#11758198C2211yescharacteristic, complemented
167C4×#11758198C2211yescharacteristic, complemented
168C4×#11758198C2211yescharacteristic, complemented
169C4×#11758198C2211yescharacteristic, complemented
170C4×#11758198C2211yescharacteristic, complemented
171C4×#11758198C2211yescharacteristic, complemented
172C4×C22⋊Dic61C2211yescharacteristic, complemented
173C4×C22⋊Dic61C2211yescharacteristic, complemented
174C2×C4×D4×C61C2211yescharacteristic
175C2×C4×D4×C61C2211yescharacteristic, complemented
176C2×C4×D4×C61C2211yescharacteristic, complemented
177C2×#117×C61C2211yescharacteristic, complemented
178C61×#398C2211yescharacteristic, complemented
179C61×#397C2211yescharacteristic, complemented
180C61×#396C2211yescharacteristic, complemented
181C61×#396C2211yescharacteristic, complemented
182C61×#394C2211yescharacteristic
183C61×#394C2211yescharacteristic, complemented
184C61×#394C2211yescharacteristic, complemented
185C61×#392C2211yescharacteristic
186C4×C4⋊C4×C61C2211yescharacteristic, complemented
187C4×C22⋊C4×C61C2211yescharacteristic, complemented
188C4×C22⋊C4×C61C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C2×#11758222—24no—
192C2×#11758222—42no—
193C2×#11758222—42no—
194C22×Dic122C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C2×D4×D61—24no—
208C2×D4×D61—24no—
209C2×D4×D61—24no—
210C23×Dic61C2311yescharacteristic
211C23×Dic61C2311yescharacteristic
212C22×C4×D61—24no—
213C22×C4×D61—42no—
214C22×C4×D61—42no—
215C22×C4×D61—42no—
216C22×C4×D61—42no—
217C22×C4×D61D418yescomplemented
218C22×C4×D61C2311yescharacteristic
219C22×C4×D61C2311yescharacteristic
220C22×C4×D61C2311yescharacteristic
221C22×C4×D61C2311yescharacteristic
222C22×C4×D61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226C22×C4×D61C2311yescharacteristic
227C22×C4×D61C2311yescharacteristic
228#14519762—24no—
229#14519762—24no—
230#14519759—24no—
231#14519759—24no—
232#14519755—24no—
233#14519754—24no—
234#14519750—24no—
235#14519749—24no—
236#14519747—24no—
237#14519747—24no—
238#14519745—24no—
239#14519745—24no—
240C4×D244—24no—
241C4×D244—24no—
242C4×D244—42no—
243D4×Dic61—24no—
244#14519739—24no—
245C4×C22⋊D61—24no—
246C4×C22⋊D61—24no—
247C4×C22⋊D61—24no—
248C4×C22⋊D61—24no—
249C4×C22⋊D61—42no—
250C4×C22⋊D61—42no—
251#14519737—24no—
252#14519737—24no—
253#14519736—42no—
254#14519734—24no—
255C2×C4⋊Dic61C2311yescharacteristic
256C2×C4⋊Dic61C2311yescharacteristic
257C2×C4⋊Dic61C2311yescharacteristic
258C2×C4⋊Dic61C2311yescharacteristic
259C2×C4⋊Dic61C2311yescharacteristic
260C2×C4⋊Dic61C2311yescharacteristic
261C2×C4⋊Dic61C2311yescharacteristic
262C2×#11758196C2311yescharacteristic
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C4⋊C4×D61—24no—
275C2×C22⋊Dic61C2311yescharacteristic
276C2×C22⋊Dic61C2311yescharacteristic
277C2×C22⋊Dic61C2311yescharacteristic
278C2×C22⋊Dic61C2311yescharacteristic
279C2×C22⋊Dic61C2311yescharacteristic
280C2×C22⋊Dic61C2311yescharacteristic
281C2×C22⋊Dic61C2311yescharacteristic
282C2×C22⋊Dic61C2311yescharacteristic
283C2×C22⋊Dic61C2311yescharacteristic
284C2×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
287C2×#11758198C2311yescharacteristic
288C2×#11758198C2311yescharacteristic
289C2×#11758198C2311yescharacteristic
290C2×#11758198C2311yescharacteristic
291C2×#11758198C2311yescharacteristic
292C2×#11758198C2311yescharacteristic
293C2×#11758198C2311yescharacteristic
294C2×#11758198C2311yescharacteristic
295C2×#11758198C2311yescharacteristic
296C2×#11758198C2311yescharacteristic
297C2×#11758198C2311yescharacteristic
298C2×#11758198C2311yescharacteristic
299C2×#11758198C2311yescharacteristic
300C2×#11758198C2311yescharacteristic
301C2×#11758198C2311yescharacteristic
302C2×#11758198C2311yescharacteristic
303C2×#11758198C2311yescharacteristic
304C2×#11758198C2311yescharacteristic
305C2×#11758198C2311yescharacteristic
306C2×#11758198C2311yescharacteristic
307C2×#11758198C2311yescharacteristic
308C2×#11758198C2311yescharacteristic
309C2×#11758198C2311yescharacteristic
310C2×#11758198C2311yescharacteristic
311C2×#11758198C2311yescharacteristic
312C2×#11758198C2311yescharacteristic
313C2×#11758198C2311yescharacteristic
314C2×#11758198C2311yescharacteristic
315C2×#11758198C2311yescharacteristic
316C2×#11758198C2311yescharacteristic
317C22⋊C4×D61—24no—
318C22⋊C4×D61—24no—
319C2×C4×Dic61C2311yescharacteristic
320C2×C4×Dic61C2311yescharacteristic
321C2×C4×Dic61C2311yescharacteristic
322C2×C4×Dic61C2311yescharacteristic
323C2×C4×Dic61C2311yescharacteristic
324C2×C4×Dic61C2311yescharacteristic
325C42×D61—24no—
326#14519684C2311yescharacteristic
327#14519684C2311yescharacteristic
328#14519684C2311yescharacteristic
329#14519684C2311yescharacteristic
330#14519684C2311yescharacteristic
331#14519684C2311yescharacteristic
332#14519684C2311yescharacteristic
333#14519684C2311yescharacteristic
334#14519684C2311yescharacteristic
335#14519684C2311yescharacteristic
336#14519684C2311yescharacteristic
337#14519684C2311yescharacteristic
338#14519684C2311yescharacteristic
339#14519684C2311yescharacteristic
340#14519684C2311yescharacteristic
341#14519684C2311yescharacteristic
342#14519684C2311yescharacteristic
343#14519684C2311yescharacteristic
344#14519684C2311yescharacteristic
345#14519684C2311yescharacteristic
346#14519684C2311yescharacteristic
347#14519684C2311yescharacteristic
348#14519684C2311yescharacteristic
349#14519684C2311yescharacteristic
350#14519684C2311yescharacteristic
351#14519684C2311yescharacteristic
352C22×D4×C61C2311yescharacteristic
353C22×D4×C61C2311yescharacteristic
354C22×D4×C61C2311yescharacteristic
355C23×C4×C61C2311yescharacteristic
356C23×C4×C61C2311yescharacteristic
357C23×C4×C61C2311yescharacteristic
358C4×D4×C61—24no—
359C4×D4×C61—24no—
360C4×D4×C61—42no—
361#117×C61—42no—
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C4⋊C4×C61C2311yescharacteristic
366C2×C4⋊C4×C61C2311yescharacteristic
367C2×C4⋊C4×C61C2311yescharacteristic
368C2×C4⋊C4×C61C2311yescharacteristic
369C2×C22⋊C4×C61C2311yescharacteristic
370C2×C22⋊C4×C61C2311yescharacteristic
371C2×C22⋊C4×C61C2311yescharacteristic
372C2×C22⋊C4×C61C2311yescharacteristic
373C2×C22⋊C4×C61C2311yescharacteristic
374C2×C22⋊C4×C61C2311yescharacteristic
375C2×C22⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61C2311yescharacteristic
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C2×C42×C61C2311yescharacteristic
382C2×C42×C61C2311yescharacteristic
383C2×C42×C61C2311yescharacteristic
384C2×C42×C61C2311yescharacteristic
385#95×C61C2311yescharacteristic
386#95×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C24×C61C2411yescharacteristic
394C23×D61—22no—
395C23×D61—22no—
396C23×D61—22no—
397C23×D61—22no—
398C23×D61—41no—
399C23×D61—41no—
400C23×D61—41no—
401C23×D61—41no—
402C23×D61—41no—
403C23×D61—41no—
404C23×D61—41no—
405C23×D61—41no—
406C23×D61C2×D414yes—
407C23×D61#4114yescomplemented
408C23×D61C2411yescharacteristic
409C23×D61C2411yescharacteristic
410C23×D61C2411yescharacteristic
411C23×D61C2411yescharacteristic
412C2×D4×C61—22no—
413C2×D4×C61—22no—
414C2×D4×C61—22no—
415C2×D4×C61—22no—
416C2×D4×C61—22no—
417C2×D4×C61—41no—
418C2×D4×C61—41no—
419C2×D4×C61—41no—
420C2×D4×C61—41no—
421C22×C4×C61—22no—
422C22×C4×C61—22no—
423C22×C4×C61—22no—
424C22×C4×C61—22no—
425C22×C4×C61—22no—
426C22×C4×C61—22no—
427C22×C4×C61—22no—
428C22×C4×C61—22no—
429C22×C4×C61C2×D414yes—
430C22×C4×C61C2411yescharacteristic
431C22×C4×C61C2411yescharacteristic
432C22×C4×C61C2411yescharacteristic
433C22×C4×C61C2411yescharacteristic
434C22×C4×C61C2411yescharacteristic
435C22×C4×C61C2411yescharacteristic
436C22×C4×C61C2411yescharacteristic
437C22×C4×C61C2411yescharacteristic
438C22×C4×C61C2411yescharacteristic
439C22×C4×C61C2411yescharacteristic
440C22×C4×C61C2411yescharacteristic
441C22×C4×C61C2411yescharacteristic
442C2×C22⋊D61—22no—
443C2×C22⋊D61—22no—
444C2×C22⋊D61—22no—
445C2×C22⋊D61—22no—
446C2×C22⋊D61—22no—
447C2×C22⋊D61—22no—
448C2×C22⋊D61—22no—
449C2×C22⋊D61—22no—
450C2×C22⋊D61—22no—
451C2×C22⋊D61—22no—
452C2×C22⋊D61—22no—
453C2×C22⋊D61—22no—
454C2×C22⋊D61—22no—
455C2×C22⋊D61—22no—
456C2×C22⋊D61—41no—
457C2×C22⋊D61—41no—
458C2×C22⋊D61—41no—
459C2×C22⋊D61—41no—
460C2×C22⋊D61—41no—
461C2×C22⋊D61—41no—
462C2×C22⋊D61—41no—
463C2×C22⋊D61—41no—
464C2×C22⋊D61—41no—
465C2×C22⋊D61—41no—
466C22×Dic61—22no—
467C22×Dic61—41no—
468C22×Dic61—41no—
469C22×Dic61—41no—
470C22×Dic61—41no—
471C22×Dic61C2×D414yes—
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C22×Dic61C2411yescharacteristic
477C22×Dic61C2411yescharacteristic
478C22×Dic61C2411yescharacteristic
479C22×Dic61C2411yescharacteristic
480C22×Dic61C2411yescharacteristic
481C22×Dic61C2411yescharacteristic
482C22×Dic61C2411yescharacteristic
483C22×Dic61C2411yescharacteristic
484D4×D61—232no—
485#11758222—416no—
486C2×D244—22no—
487C2×D244—22no—
488C2×D244—22no—
489C2×D244—22no—
490C2×D244—22no—
491C2×D244—22no—
492C2×D244—22no—
493C2×D244—22no—
494C2×D244—41no—
495C2×D244—41no—
496C2×D244—41no—
497C2×D244—41no—
498C2×C4×D61—22no—
499C2×C4×D61—22no—
500C2×C4×D61—22no—
501C2×C4×D61—22no—
502C2×C4×D61—22no—
503C2×C4×D61—22no—
504C2×C4×D61—22no—
505C2×C4×D61—22no—
506C2×C4×D61—22no—
507C2×C4×D61—22no—
508C2×C4×D61—22no—
509C2×C4×D61—22no—
510C2×C4×D61—22no—
511C2×C4×D61—22no—
512C2×C4×D61—22no—
513C2×C4×D61—416no—
514C2×C4×D61—416no—
515C2×C4×D61—41no—
516C2×C4×D61—41no—
517C2×C4×D61—41no—
518C2×C4×D61—41no—
519C2×C4×D61—41no—
520C2×C4×D61—41no—
521C2×C4×D61—41no—
522C2×C4×D61—41no—
523C2×C4×D61—41no—
524C2×C4×D61—41no—
525C2×C4×D61C2×D414yes—
526C2×C4×D61C2×D414yes—
527C2×C4×D61C2×D414yes—
528C2×C4×D61C2×D414yes—
529C2×C4×D61#4114yescomplemented
530C2×Dic122—22no—
531C2×Dic122—41no—
532C2×Dic122—41no—
533C4⋊C4×C61—22no—
534C4⋊C4×C61—22no—
535C4⋊C4×C61—22no—
536C4⋊C4×C61—41no—
537C4⋊C4×C61—41no—
538C4⋊C4×C61—41no—
539C4⋊C4×C61—41no—
540C22⋊C4×C61—22no—
541C22⋊C4×C61—22no—
542C22⋊C4×C61—22no—
543C22⋊C4×C61—22no—
544C22⋊C4×C61—22no—
545C22⋊C4×C61—22no—
546C22⋊C4×C61—41no—
547C22⋊C4×C61—41no—
548C22⋊C4×C61—41no—
549C22⋊C4×C61—41no—
550C22⋊C4×C61—41no—
551C22⋊C4×C61—41no—
552C42×C61—22no—
553C42×C61—22no—
554C42×C61—22no—
555C42×C61—22no—
556C22⋊Dic61—22no—
557C22⋊Dic61—22no—
558C22⋊Dic61—22no—
559C22⋊Dic61—22no—
560C22⋊Dic61—22no—
561C22⋊Dic61—22no—
562C22⋊Dic61—41no—
563C22⋊Dic61—41no—
564C22⋊Dic61—41no—
565C22⋊Dic61—41no—
566C22⋊Dic61—41no—
567C22⋊Dic61—41no—
568#11758198—22no—
569#11758198—22no—
570#11758198—22no—
571#11758198—22no—
572#11758198—22no—
573#11758198—22no—
574#11758198—22no—
575#11758198—22no—
576#11758198—22no—
577#11758198—22no—
578#11758198—22no—
579#11758198—22no—
580#11758198—22no—
581#11758198—22no—
582#11758198—22no—
583#11758198—22no—
584#11758198—22no—
585#11758198—22no—
586#11758198—41no—
587#11758198—41no—
588#11758198—41no—
589#11758198—41no—
590#11758198—41no—
591#11758198—41no—
592#11758198—41no—
593#11758198—41no—
594#11758198—41no—
595#11758198—41no—
596#11758198—41no—
597#11758198—41no—
598C4⋊Dic61—22no—
599C4⋊Dic61—22no—
600C4⋊Dic61—22no—
601C4⋊Dic61—41no—
602C4⋊Dic61—41no—
603C4⋊Dic61—41no—
604C4⋊Dic61—41no—
605#11758196—22no—
606#11758196—22no—
607#11758196—22no—
608#11758196—22no—
609#11758196—22no—
610#11758196—22no—
611#11758196—22no—
612#11758196—22no—
613#11758196—41no—
614#11758196—41no—
615#11758196—41no—
616#11758196—41no—
617C4×Dic61—22no—
618C4×Dic61—22no—
619C4×Dic61—22no—
620C4×Dic61—22no—
621C4×Dic61—22no—
622C4×Dic61—22no—
623C23×C61—21no—
624C23×C61—21no—
625C23×C61—21no—
626C23×C61—21no—
627C23×C61—21no—
628C23×C61—21no—
629C23×C61—21no—
630C23×C61—21no—
631C23×C61—21no—
632C23×C61—21no—
633C23×C61—21no—
634C23×C61—21no—
635C23×C61—21no—
636C23×C61—21no—
637C23×C61—21no—
638C23×C61—21no—
639C23×C61—21no—
640C23×C61—21no—
641C23×C61—21no—
642C23×C61C22×D412yes—
643C23×C61C2×#4112yes—
644C23×C61C2511yescharacteristic
645C22×D61—21no—
646C22×D61—21no—
647C22×D61—21no—
648C22×D61—21no—
649C22×D61—21no—
650C22×D61—21no—
651C22×D61—21no—
652C22×D61—21no—
653C22×D61—21no—
654C22×D61—21no—
655C22×D61—21no—
656C22×D61—21no—
657C22×D61—21no—
658C22×D61—21no—
659C22×D61—21no—
660C22×D61—21no—
661C22×D61—28no—
662C22×D61—28no—
663C22×D61—21no—
664C22×D61—21no—
665C22×D61—21no—
666C22×D61—21no—
667C22×D61—21no—
668C22×D61—21no—
669C22×D61—21no—
670C22×D61—44no—
671C22×D61—44no—
672C22×D61—44no—
673C22×D61—44no—
674C22×D61—44no—
675C22×D61—44no—
676C22×D61—44no—
677C22×D61—44no—
678C22×D61—44no—
679C22×D61—44no—
680C22×D61—44no—
681C22×D61—44no—
682C22×D61C22×D412yes—
683C22×D61C22×D412yes—
684C22×D61C2×#4112yes—
685C22×D61C2×#4112yes—
686C22×D61C2×#4112yes—
687D4×C61—28no—
688D4×C61—44no—
689D4×C61—44no—
690C2×C4×C61—21no—
691C2×C4×C61—21no—
692C2×C4×C61—21no—
693C2×C4×C61—21no—
694C2×C4×C61—28no—
695C2×C4×C61—21no—
696C2×C4×C61—21no—
697C2×C4×C61—21no—
698C2×C4×C61—21no—
699C2×C4×C61—21no—
700C2×C4×C61—21no—
701C2×C4×C61—21no—
702C2×C4×C61—21no—
703C2×C4×C61—21no—
704C2×C4×C61—21no—
705C2×C4×C61—21no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—44no—
723C2×C4×C61—44no—
724C2×C4×C61C22×D412yes—
725C2×C4×C61C22×D412yes—
726C2×C4×C61C2×#4112yes—
727C2×C4×C61H(5,𝔽2)12yes—
728C2×C4×C61H(5,𝔽2)12yes—
729C22⋊D61—28no—
730C22⋊D61—28no—
731C22⋊D61—44no—
732C22⋊D61—44no—
733C22⋊D61—44no—
734C22⋊D61—44no—
735C22⋊D61—44no—
736C22⋊D61—44no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—21no—
744C2×Dic61—21no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—21no—
752C2×Dic61—21no—
753C2×Dic61—21no—
754C2×Dic61—21no—
755C2×Dic61—21no—
756C2×Dic61—21no—
757C2×Dic61—21no—
758C2×Dic61—21no—
759C2×Dic61—21no—
760C2×Dic61—21no—
761C2×Dic61—21no—
762C2×Dic61—21no—
763C2×Dic61—21no—
764C2×Dic61—21no—
765C2×Dic61—21no—
766C2×Dic61—21no—
767C2×Dic61—21no—
768C2×Dic61—21no—
769C2×Dic61—21no—
770C2×Dic61—44no—
771C2×Dic61—44no—
772C2×Dic61C22×D412yes—
773C2×Dic61C22×D412yes—
774C2×Dic61C2×#4112yes—
775D244—28no—
776D244—44no—
777D244—44no—
778D244—44no—
779C4×D61—28no—
780C4×D61—28no—
781C4×D61—28no—
782C4×D61—44no—
783C4×D61—44no—
784C4×D61—44no—
785C4×D61—44no—
786C4×D61—44no—
787C4×D61—44no—
788C4×D61—44no—
789Dic122—44no—
790#34562—611nomaximal, Sylow
791C22×C61—22no—
792C22×C61—22no—
793C22×C61—22no—
794C22×C61—22no—
795C22×C61—22no—
796C22×C61—22no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61C23×D411yescharacteristic
813C22×C61C22×#4111yescharacteristic
814C22×C61C22×#4111yescharacteristic
815C22×C61C2×H(5,𝔽2)11yescharacteristic
816C22×C61C2×H(5,𝔽2)11yescharacteristic
817C22×C61#58511yescharacteristic
818C22×C61#58511yescharacteristic
819C2×D61—22no—
820C2×D61—22no—
821C2×D61—22no—
822C2×D61—22no—
823C2×D61—22no—
824C2×D61—22no—
825C2×D61—22no—
826C2×D61—22no—
827C2×D61—22no—
828C2×D61—22no—
829C2×D61—22no—
830C2×D61—22no—
831C2×D61—416no—
832C2×D61—416no—
833C2×D61—41no—
834C2×D61—41no—
835C2×D61—41no—
836C2×D61—41no—
837C2×D61—41no—
838C2×D61—41no—
839C2×D61—41no—
840C2×D61—41no—
841C2×D61—41no—
842C2×D61—41no—
843C2×D61—41no—
844C2×D61—41no—
845C2×D61—41no—
846C2×D61—41no—
847C2×D61—41no—
848C2×D61#52514yes—
849C4×C61—22no—
850C4×C61—22no—
851C4×C61—41no—
852C4×C61—41no—
853C4×C61—41no—
854C4×C61—41no—
855C4×C61—41no—
856C4×C61—41no—
857C4×C61—41no—
858C4×C61—41no—
859C4×C61—41no—
860C4×C61#53414yes—
861Dic61—22no—
862Dic61—22no—
863Dic61—22no—
864Dic61—41no—
865Dic61—41no—
866Dic61—41no—
867Dic61—41no—
868Dic61—41no—
869Dic61—41no—
870Dic61—41no—
871Dic61—41no—
872Dic61—41no—
873C2×#525—611no—
874C22×C4×D4—611no—
875#2638—611no—
876#2638—611no—
877#2635—611no—
878#2635—611no—
879#2630—611no—
880#2630—611no—
881#2630—611no—
882#2630—611no—
883#2627—611no—
884#2626—611no—
885#2622—611no—
886#2622—611no—
887#2618—611no—
888#2617—611no—
889#2613—611no—
890#2613—611no—
891#2395—611no—
892#2395—611no—
893#2392—611no—
894#2392—611no—
895#2392—611no—
896#2392D6111yescharacteristic, complemented
897#2388—611no—
898#2388—611no—
899C4×#123—611no—
900C4×#123—611no—
901C4×#120—611no—
902C4×#120—611no—
903#2280—611no—
904C2×C61—42no—
905C2×C61—42no—
906C2×C61—81no—
907C2×C61C2×#52511yescharacteristic
908C2×C61C2×#53411yescharacteristic
909C2×C61#344911yescharacteristic
910C2×C61#345911yescharacteristic
911C2×C61#345911yescharacteristic
912C2×C61#346011yescharacteristic
913C2×C61#346011yescharacteristic
914D61—24no—
915D61—42no—
916D61—42no—
917D61—81no—
918C22×#41—611no—
919C23×D4—611no—
920C24×C4—611no—
921C24×C4—611no—
922#525—1228no—
923C2×#123—611no—
924C2×#123—611no—
925C2×#123—611no—
926C2×#123—611no—
927C2×C22⋊Q8—611no—
928C2×C22⋊Q8—611no—
929C2×#121—611no—
930C2×#121—611no—
931C2×#120—611no—
932C2×#120—611no—
933C2×#120—611no—
934C2×#120—611no—
935C2×C4×D4—611no—
936C2×C4×D4—611no—
937C2×C4×D4—611no—
938C2×C4×D4—611no—
939C2×C4×D4—611no—
940C2×C4×D4—611no—
941C2×C4×D4—611no—
942C2×C4×D4—611no—
943C2×C4×D4—611no—
944C2×C4×D4—611no—
945C2×C4×D4—611no—
946C2×C4×D4—611no—
947C2×C4×D4—611no—
948C2×C4×D4—1228no—
949C2×C4×D4C2×D6111yescharacteristic
950C2×C4×D4C2×D6111yescharacteristic, complemented
951C2×C4×D4C2×D6111yescharacteristic, complemented
952C2×#117—611no—
953C2×#117—611no—
954C2×#117C2×D6111yescharacteristic, complemented
955C22×C4⋊C4—611no—
956C22×C22⋊C4—611no—
957C22×C22⋊C4—611no—
958C22×C42—611no—
959#400—611no—
960#400—611no—
961#399—611no—
962#399—611no—
963#398—611no—
964#398—611no—
965#398—611no—
966#398—611no—
967#398—611no—
968#398C2×D6111yescharacteristic, complemented
969#397—611no—
970#397—611no—
971#397—611no—
972#397—611no—
973#397—611no—
974#397—611no—
975#397—611no—
976#397—611no—
977#397—611no—
978#397C2×D6111yescharacteristic, complemented
979#396—611no—
980#396—611no—
981#396—611no—
982#396—611no—
983#396—611no—
984#396—611no—
985#396C2×D6111yescharacteristic, complemented
986#396C2×D6111yescharacteristic, complemented
987#395—611no—
988#395—611no—
989#394—611no—
990#394—611no—
991#394—611no—
992#394—611no—
993#394—611no—
994#394—611no—
995#394—611no—
996#394—611no—
997#394—611no—
998#394—611no—
999#394—611no—
1000#394—611no—
1001#394—611no—
1002#394—611no—
1003#394—611no—
1004#394—611no—
1005#394—611no—
1006#394—611no—
1007#394—611no—
1008#394C2×D6111yescharacteristic
1009#394C2×D6111yescharacteristic, complemented
1010#394C2×D6111yescharacteristic, complemented
1011#393—611no—
1012#393—611no—
1013#392—611no—
1014#392—611no—
1015#392—611no—
1016#392—611no—
1017#392—611no—
1018#392—611no—
1019#392—611no—
1020#392—611no—
1021#392—611no—
1022#392C2×D6111yescharacteristic
1023#388—611no—
1024#388—611no—
1025#388—611no—
1026#388—611no—
1027#387—611no—
1028#387—611no—
1029#387—611no—
1030#387—611no—
1031#386—611no—
1032#386—611no—
1033#386—611no—
1034#386—611no—
1035#386—611no—
1036#386—611no—
1037#386—611no—
1038#386—611no—
1039#385—611no—
1040#385—611no—
1041#385—611no—
1042#385—611no—
1043#385—611no—
1044#385—611no—
1045#385—611no—
1046#385—611no—
1047#381—611no—
1048#381—611no—
1049#381—611no—
1050#381—611no—
1051#380—611no—
1052#380—611no—
1053#380—611no—
1054#380—611no—
1055#379—611no—
1056#379—611no—
1057#379—611no—
1058#379—611no—
1059C4×C4⋊C4—611no—
1060C4×C4⋊C4—611no—
1061C4×C4⋊C4—611no—
1062C4×C4⋊C4C2×D6111yescharacteristic, complemented
1063C4×C22⋊C4—611no—
1064C4×C22⋊C4—611no—
1065C4×C22⋊C4—611no—
1066C4×C22⋊C4—611no—
1067C4×C22⋊C4—611no—
1068C4×C22⋊C4—611no—
1069C4×C22⋊C4—611no—
1070C4×C22⋊C4—611no—
1071C4×C22⋊C4—611no—
1072C4×C22⋊C4—611no—
1073C4×C22⋊C4C2×D6111yescharacteristic, complemented
1074C4×C22⋊C4C2×D6111yescharacteristic, complemented
1075C61#3456211yescharacteristic, complemented, Sylow
1076C25—611no—
1077C25—611no—
1078C2×#41—1224no—
1079C2×#41—2442no—
1080C2×#41—2442no—
1081C22×Q8—611no—
1082C22×D4—611no—
1083C22×D4—611no—
1084C22×D4—611no—
1085C22×D4—611no—
1086C22×D4—611no—
1087C22×D4—611no—
1088C22×D4—611no—
1089C22×D4—611no—
1090C22×D4—611no—
1091C22×D4—611no—
1092C22×D4—611no—
1093C22×D4—611no—
1094C22×D4—1224no—
1095C22×D4—1224no—
1096C22×D4—1224no—
1097C22×D4C22×D6111yescharacteristic
1098C22×D4C22×D6111yescharacteristic
1099C22×D4C22×D6111yescharacteristic
1100C23×C4—611no—
1101C23×C4—611no—
1102C23×C4—611no—
1103C23×C4—611no—
1104C23×C4—618no—
1105C23×C4—611no—
1106C23×C4—611no—
1107C23×C4—611no—
1108C23×C4—611no—
1109C23×C4—611no—
1110C23×C4—611no—
1111C23×C4—611no—
1112C23×C4—611no—
1113C23×C4—1224no—
1114C23×C4—2442no—
1115C23×C4—2442no—
1116C23×C4—2442no—
1117C23×C4—2442no—
1118C23×C4C22×D6111yescharacteristic
1119C23×C4C22×D6111yescharacteristic
1120C23×C4C22×D6111yescharacteristic
1121#123—1224no—
1122#123—1224no—
1123#123—1224no—
1124#123—1224no—
1125C22⋊Q8—1224no—
1126C22⋊Q8—1224no—
1127#121—1224no—
1128#121—1224no—
1129#120—1224no—
1130#120—1224no—
1131#120—1224no—
1132#120—1224no—
1133C4×D4—24no—
1134C4×D4—24no—
1135C4×D4—42no—
1136C4×D4—1224no—
1137C4×D4—1224no—
1138C4×D4—1224no—
1139C4×D4—1224no—
1140C4×D4—1224no—
1141C4×D4—1224no—
1142C4×D4—1224no—
1143C4×D4—1224no—
1144C4×D4—1224no—
1145C4×D4—1224no—
1146C4×D4—2442no—
1147C4×D4—2442no—
1148C4×D4—2442no—
1149#117—42no—
1150#117—1224no—
1151#117—2442no—
1152C2×C4⋊C4—611no—
1153C2×C4⋊C4—611no—
1154C2×C4⋊C4—611no—
1155C2×C4⋊C4—611no—
1156C2×C4⋊C4—611no—
1157C2×C4⋊C4—611no—
1158C2×C4⋊C4—611no—
1159C2×C4⋊C4—611no—
1160C2×C4⋊C4—611no—
1161C2×C4⋊C4—611no—
1162C2×C4⋊C4—611no—
1163C2×C4⋊C4—611no—
1164C2×C4⋊C4—611no—
1165C2×C4⋊C4—611no—
1166C2×C4⋊C4—611no—
1167C2×C4⋊C4—611no—
1168C2×C4⋊C4—611no—
1169C2×C4⋊C4—611no—
1170C2×C4⋊C4—611no—
1171C2×C4⋊C4—1224no—
1172C2×C4⋊C4C22×D6111yescharacteristic
1173C2×C4⋊C4C22×D6111yescharacteristic
1174C2×C4⋊C4C22×D6111yescharacteristic
1175C2×C4⋊C4C22×D6111yescharacteristic
1176C2×C4⋊C4C22×D6111yescharacteristic
1177C2×C4⋊C4C22×D6111yescharacteristic
1178C2×C4⋊C4C22×D6111yescharacteristic
1179C2×C22⋊C4—611no—
1180C2×C22⋊C4—611no—
1181C2×C22⋊C4—611no—
1182C2×C22⋊C4—611no—
1183C2×C22⋊C4—611no—
1184C2×C22⋊C4—611no—
1185C2×C22⋊C4—611no—
1186C2×C22⋊C4—611no—
1187C2×C22⋊C4—611no—
1188C2×C22⋊C4—611no—
1189C2×C22⋊C4—611no—
1190C2×C22⋊C4—611no—
1191C2×C22⋊C4—611no—
1192C2×C22⋊C4—611no—
1193C2×C22⋊C4—611no—
1194C2×C22⋊C4—611no—
1195C2×C22⋊C4—611no—
1196C2×C22⋊C4—611no—
1197C2×C22⋊C4—611no—
1198C2×C22⋊C4—611no—
1199C2×C22⋊C4—611no—
1200C2×C22⋊C4—611no—
1201C2×C22⋊C4—611no—
1202C2×C22⋊C4—611no—
1203C2×C22⋊C4—611no—
1204C2×C22⋊C4—611no—
1205C2×C22⋊C4—611no—
1206C2×C22⋊C4—611no—
1207C2×C22⋊C4—611no—
1208C2×C22⋊C4—611no—
1209C2×C22⋊C4—611no—
1210C2×C22⋊C4—611no—
1211C2×C22⋊C4—611no—
1212C2×C22⋊C4—611no—
1213C2×C22⋊C4—611no—
1214C2×C22⋊C4—611no—
1215C2×C22⋊C4—611no—
1216C2×C22⋊C4—611no—
1217C2×C22⋊C4—611no—
1218C2×C22⋊C4—611no—
1219C2×C22⋊C4—611no—
1220C2×C22⋊C4—611no—
1221C2×C22⋊C4—1224no—
1222C2×C22⋊C4—1224no—
1223C2×C22⋊C4C22×D6111yescharacteristic
1224C2×C22⋊C4C22×D6111yescharacteristic
1225C2×C22⋊C4C22×D6111yescharacteristic
1226C2×C22⋊C4C22×D6111yescharacteristic
1227C2×C22⋊C4C22×D6111yescharacteristic
1228C2×C22⋊C4C22×D6111yescharacteristic
1229C2×C22⋊C4C22×D6111yescharacteristic
1230C2×C22⋊C4C22×D6111yescharacteristic
1231C2×C22⋊C4C22×D6111yescharacteristic
1232C2×C22⋊C4C22×D6111yescharacteristic
1233C2×C22⋊C4C22×D6111yescharacteristic
1234C2×C22⋊C4C22×D6111yescharacteristic
1235C2×C42—611no—
1236C2×C42—611no—
1237C2×C42—611no—
1238C2×C42—611no—
1239C2×C42—611no—
1240C2×C42—611no—
1241C2×C42—1224no—
1242C2×C42C22×D6111yescharacteristic
1243C2×C42C22×D6111yescharacteristic
1244C2×C42C22×D6111yescharacteristic
1245C2×C42C22×D6111yescharacteristic
1246#95—611no—
1247#95—611no—
1248#95—611no—
1249#95—611no—
1250#95—611no—
1251#95—611no—
1252#95—611no—
1253#95—611no—
1254#95—611no—
1255#95—611no—
1256#95—611no—
1257#95—611no—
1258#95—611no—
1259#95—611no—
1260#95—611no—
1261#95—611no—
1262#95—611no—
1263#95—611no—
1264#95—611no—
1265#95—611no—
1266#95—611no—
1267#95—611no—
1268#95—611no—
1269#95—611no—
1270#95—611no—
1271#95—611no—
1272#95C22×D6111yescharacteristic
1273#95C22×D6111yescharacteristic
1274#95C22×D6111yescharacteristic
1275#95C22×D6111yescharacteristic
1276#95C22×D6111yescharacteristic
1277#95C22×D6111yescharacteristic
1278C24—611no—
1279C24—611no—
1280C24—611no—
1281C24—614no—
1282C24—614no—
1283C24—611no—
1284C24—1222no—
1285C24—1222no—
1286C24—1222no—
1287C24—1222no—
1288C24—2441no—
1289C24—2441no—
1290C24—2441no—
1291C24—2441no—
1292C24—2441no—
1293C24—2441no—
1294C24—2441no—
1295C24—2441no—
1296C24C23×D6111yescharacteristic
1297C24C23×D6111yescharacteristic
1298C24C23×D6111yescharacteristic
1299#41—24416no—
1300C2×Q8—1222no—
1301C2×Q8—2441no—
1302C2×Q8—2441no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—1222no—
1313C2×D4—1222no—
1314C2×D4—1222no—
1315C2×D4—1222no—
1316C2×D4—1222no—
1317C2×D4—1222no—
1318C2×D4—1222no—
1319C2×D4—1222no—
1320C2×D4—1222no—
1321C2×D4—1222no—
1322C2×D4—12232no—
1323C2×D4—1222no—
1324C2×D4—1222no—
1325C2×D4—1222no—
1326C2×D4—1222no—
1327C2×D4—1222no—
1328C2×D4—1222no—
1329C2×D4—1222no—
1330C2×D4—1222no—
1331C2×D4—1222no—
1332C2×D4—1222no—
1333C2×D4—1222no—
1334C2×D4—1222no—
1335C2×D4—2441no—
1336C2×D4—2441no—
1337C2×D4—2441no—
1338C2×D4—2441no—
1339C2×D4—2441no—
1340C2×D4—2441no—
1341C2×D4—2441no—
1342C2×D4—2441no—
1343C2×D4—2441no—
1344C2×D4—2441no—
1345C2×D4—2441no—
1346C2×D4—2441no—
1347C2×D4—2441no—
1348C2×D4—2441no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—611no—
1358C22×C4—611no—
1359C22×C4—611no—
1360C22×C4—614no—
1361C22×C4—614no—
1362C22×C4—614no—
1363C22×C4—614no—
1364C22×C4—614no—
1365C22×C4—614no—
1366C22×C4—611no—
1367C22×C4—611no—
1368C22×C4—611no—
1369C22×C4—611no—
1370C22×C4—611no—
1371C22×C4—611no—
1372C22×C4—611no—
1373C22×C4—611no—
1374C22×C4—611no—
1375C22×C4—1222no—
1376C22×C4—1222no—
1377C22×C4—1222no—
1378C22×C4—1222no—
1379C22×C4—1222no—
1380C22×C4—1222no—
1381C22×C4—1222no—
1382C22×C4—1222no—
1383C22×C4—1222no—
1384C22×C4—1222no—
1385C22×C4—1222no—
1386C22×C4—1222no—
1387C22×C4—1222no—
1388C22×C4—1222no—
1389C22×C4—1222no—
1390C22×C4—1222no—
1391C22×C4—24416no—
1392C22×C4—2441no—
1393C22×C4—2441no—
1394C22×C4—2441no—
1395C22×C4—2441no—
1396C22×C4—2441no—
1397C22×C4—2441no—
1398C22×C4—2441no—
1399C22×C4—2441no—
1400C22×C4—2441no—
1401C22×C4—2441no—
1402C22×C4—24416no—
1403C22×C4—2441no—
1404C22×C4—2441no—
1405C22×C4—2441no—
1406C22×C4—2441no—
1407C22×C4D4×D6114yes—
1408C22×C4C23×D6111yescharacteristic
1409C22×C4C23×D6111yescharacteristic
1410C22×C4C23×D6111yescharacteristic
1411C22×C4C23×D6111yescharacteristic
1412C22×C4C23×D6111yescharacteristic
1413C22×C4C23×D6111yescharacteristic
1414C22×C4C23×D6111yescharacteristic
1415C22×C4C23×D6111yescharacteristic
1416C22×C4C23×D6111yescharacteristic
1417C22×C4C23×D6111yescharacteristic
1418C22×C4C23×D6111yescharacteristic
1419C22×C4C23×D6111yescharacteristic
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—1222no—
1428C4⋊C4—1222no—
1429C4⋊C4—1222no—
1430C4⋊C4—1222no—
1431C4⋊C4—1222no—
1432C4⋊C4—1222no—
1433C4⋊C4—1222no—
1434C4⋊C4—1222no—
1435C4⋊C4—1222no—
1436C4⋊C4—1222no—
1437C4⋊C4—1222no—
1438C4⋊C4—2441no—
1439C4⋊C4—2441no—
1440C4⋊C4—2441no—
1441C4⋊C4—2441no—
1442C4⋊C4—2441no—
1443C4⋊C4—2441no—
1444C4⋊C4—2441no—
1445C4⋊C4—2441no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—1222no—
1459C22⋊C4—1222no—
1460C22⋊C4—1222no—
1461C22⋊C4—1222no—
1462C22⋊C4—1222no—
1463C22⋊C4—1222no—
1464C22⋊C4—1222no—
1465C22⋊C4—1222no—
1466C22⋊C4—1222no—
1467C22⋊C4—1222no—
1468C22⋊C4—1222no—
1469C22⋊C4—1222no—
1470C22⋊C4—1222no—
1471C22⋊C4—1222no—
1472C22⋊C4—1222no—
1473C22⋊C4—1222no—
1474C22⋊C4—1222no—
1475C22⋊C4—1222no—
1476C22⋊C4—1222no—
1477C22⋊C4—1222no—
1478C22⋊C4—1222no—
1479C22⋊C4—1222no—
1480C22⋊C4—1222no—
1481C22⋊C4—1222no—
1482C22⋊C4—2441no—
1483C22⋊C4—2441no—
1484C22⋊C4—2441no—
1485C22⋊C4—2441no—
1486C22⋊C4—2441no—
1487C22⋊C4—2441no—
1488C22⋊C4—2441no—
1489C22⋊C4—2441no—
1490C22⋊C4—2441no—
1491C22⋊C4—2441no—
1492C22⋊C4—2441no—
1493C22⋊C4—2441no—
1494C22⋊C4—2441no—
1495C22⋊C4—2441no—
1496C22⋊C4—2441no—
1497C22⋊C4—2441no—
1498C22⋊C4—2441no—
1499C22⋊C4—2441no—
1500C42—22no—
1501C42—22no—
1502C42—22no—
1503C42—22no—
1504C42—1222no—
1505C42—1222no—
1506C42—1222no—
1507C42—1222no—
1508C42—1222no—
1509C42—1222no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—612no—
1530C23—612no—
1531C23—612no—
1532C23—612no—
1533C23—612no—
1534C23—1228no—
1535C23—1228no—
1536C23—1221no—
1537C23—1221no—
1538C23—1221no—
1539C23—1221no—
1540C23—1221no—
1541C23—1221no—
1542C23—1221no—
1543C23—1221no—
1544C23—1221no—
1545C23—1221no—
1546C23—1221no—
1547C23—1221no—
1548C23—1221no—
1549C23—1221no—
1550C23—1221no—
1551C23—1221no—
1552C23—1221no—
1553C23—1221no—
1554C23—1221no—
1555C23—1221no—
1556C23—1221no—
1557C23—1221no—
1558C23—1221no—
1559C23—2444no—
1560C23—2444no—
1561C23—2444no—
1562C23—2444no—
1563C23—2444no—
1564C23—2444no—
1565C23—2444no—
1566C23—2444no—
1567C23—2444no—
1568C23—2444no—
1569C23—2444no—
1570C23—2444no—
1571C23C2×D4×D6112yes—
1572C23#41×D6112yes—
1573C23C24×D6111yescharacteristic
1574Q8—2444no—
1575D4—28no—
1576D4—44no—
1577D4—44no—
1578D4—1228no—
1579D4—1228no—
1580D4—1228no—
1581D4—2444no—
1582D4—2444no—
1583D4—2444no—
1584D4—2444no—
1585D4—2444no—
1586D4—2444no—
1587D4—2444no—
1588D4—2444no—
1589D4—2444no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—28no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—44no—
1623C2×C4—44no—
1624C2×C4—612no—
1625C2×C4—612no—
1626C2×C4—612no—
1627C2×C4—1228no—
1628C2×C4—1221no—
1629C2×C4—1221no—
1630C2×C4—1221no—
1631C2×C4—1221no—
1632C2×C4—1221no—
1633C2×C4—1221no—
1634C2×C4—1228no—
1635C2×C4—1228no—
1636C2×C4—1221no—
1637C2×C4—1221no—
1638C2×C4—1221no—
1639C2×C4—1221no—
1640C2×C4—1221no—
1641C2×C4—1221no—
1642C2×C4—1221no—
1643C2×C4—1221no—
1644C2×C4—1221no—
1645C2×C4—1221no—
1646C2×C4—1221no—
1647C2×C4—1221no—
1648C2×C4—1221no—
1649C2×C4—1221no—
1650C2×C4—1221no—
1651C2×C4—1221no—
1652C2×C4—1221no—
1653C2×C4—1221no—
1654C2×C4—1221no—
1655C2×C4—1221no—
1656C2×C4—1221no—
1657C2×C4—1221no—
1658C2×C4—1221no—
1659C2×C4—1221no—
1660C2×C4—1221no—
1661C2×C4—1221no—
1662C2×C4—1221no—
1663C2×C4—2444no—
1664C2×C4—2444no—
1665C2×C4—2444no—
1666C2×C4—2444no—
1667C2×C4—2444no—
1668C2×C4—2444no—
1669C2×C4—2444no—
1670C2×C4—2444no—
1671C2×C4—2444no—
1672C2×C4C2×D4×D6112yes—
1673C2×C4C2×D4×D6112yes—
1674C2×C4#41×D6112yes—
1675C2×C4#1451982212yes—
1676C2×C4#1451982312yes—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—614no—
1699C22—1222no—
1700C22—1222no—
1701C22—1222no—
1702C22—1222no—
1703C22—1222no—
1704C22—1222no—
1705C22—1222no—
1706C22—1222no—
1707C22—1222no—
1708C22—1222no—
1709C22—1222no—
1710C22—1222no—
1711C22—24416no—
1712C22—24416no—
1713C22—2441no—
1714C22—2441no—
1715C22—2441no—
1716C22—2441no—
1717C22—2441no—
1718C22—2441no—
1719C22—2441no—
1720C22—2441no—
1721C22—2441no—
1722C22—2441no—
1723C22—2441no—
1724C22—2441no—
1725C22—2441no—
1726C22—2441no—
1727C22—2441no—
1728C22C22×D4×D6111yescharacteristic
1729C22C2×#41×D6111yescharacteristic
1730C22C2×#41×D6111yescharacteristic
1731C22C2×#1451982211yescharacteristic
1732C22C2×#1451982311yescharacteristic
1733C22#1684059811yescharacteristic
1734C22#1684059811yescharacteristic
1735C4—22no—
1736C4—22no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—1222no—
1747C4—1222no—
1748C4—1222no—
1749C4—2441no—
1750C4—2441no—
1751C4—2441no—
1752C4—2441no—
1753C4—2441no—
1754C4—2441no—
1755C4—2441no—
1756C4—2441no—
1757C4—2441no—
1758C4#1684032014yes—
1759C2—42no—
1760C2—42no—
1761C2—81no—
1762C2—1224no—
1763C2—4881no—
1764C2—2442no—
1765C2—2442no—
1766C2#525×D6111yescharacteristic
1767C2C2×#1684032011yescharacteristic
1768C2#2145914911yescharacteristic
1769C2#2145922611yescharacteristic
1770C2#2145922911yescharacteristic
1771C2#2145923311yescharacteristic
1772C2#2145924011yescharacteristic
subgroupG/H
centerC22×C4C23×D61
commutator, socle, cosocleC23×C61C25
FrattiniC23C24×D61
FittingC61×#2392C2
hypercenter#2392D61
hypocenterC61#34562
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C22×C4 ◁ #2392

Complements

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

NH ≅ G/Ntype
1. C2×#16840271C2semidirect
2. C2×C4×D4×D61C2semidirect
3. #21451738C2semidirect
4. #21451735C2semidirect
5. #21451705C2semidirect
6. #21451702C2semidirect
7. #21451669C2semidirect
8. #21451667C2semidirect
9. #21451665C2semidirect
10. #21451663C2semidirect
11. #21451637C2semidirect
12. #21451629C2semidirect
13. #21451593C2semidirect
14. #21451591C2semidirect
15. #21451566C2semidirect
16. #21451558C2semidirect
17. #21451532C2semidirect
18. #21451530C2semidirect
19. #21449082C2semidirect
20. #21449080C2semidirect
21. #21449061C2semidirect
22. #21449061C2semidirect
23. #21449055C2semidirect
24. #21449035C2semidirect
25. #21449034C2semidirect
26. C4×#14519762C2semidirect
27. C4×#14519759C2semidirect
28. C4×#14519747C2semidirect
29. C4×#14519745C2semidirect
30. #21448198C2semidirect
31. C61×#2392C2semidirect
32. C22×#11758222C22semidirect
38. C2×#14519762C22semidirect
40. C2×#14519759C22semidirect
42. C2×#14519754C22semidirect
44. C2×#14519749C22semidirect
51. C2×C4×D244C22semidirect
57. C2×C4×C22⋊D61C22semidirect
58. C2×C4×C22⋊D61C22semidirect
59. C2×C4×C22⋊D61C22semidirect
63. C2×#14519736C22semidirect
64. C2×#14519734C22semidirect
69. #16839704C22semidirect
70. #16839703C22semidirect
71. #16839698C22semidirect
72. #16839697C22semidirect
73. #16839696C22semidirect
74. #16839695C22semidirect
75. #16839695C22semidirect
76. #16839695C22semidirect
77. #16839692C22semidirect
78. #16839691C22semidirect
79. #16839691C22semidirect
80. #16839691C22semidirect
81. #16839690C22semidirect
82. #16839690C22semidirect
83. #16839690C22semidirect
84. #16839689C22semidirect
85. #16839688C22semidirect
86. #16839687C22semidirect
87. #16839685C22semidirect
88. #16839685C22semidirect
89. #16839684C22semidirect
90. #16839684C22semidirect
91. #16839684C22semidirect
92. #16839684C22semidirect
93. #16839683C22semidirect
94. #16839682C22semidirect
96. #16839680C22semidirect
98. #16839679C22semidirect
99. #16839679C22semidirect
102. #16839678C22semidirect
103. #16839678C22semidirect
104. #16839678C22semidirect
105. #16839678C22semidirect
106. #16839678C22semidirect
109. #16839677C22semidirect
110. #16839677C22semidirect
111. #16839677C22semidirect
113. #16839676C22semidirect
114. #16839675C22semidirect
115. #16839674C22semidirect
120. #16839671C22semidirect
124. #16839670C22semidirect
125. #16839656C22semidirect
126. #16839655C22semidirect
127. #16839652C22semidirect
128. #16839651C22semidirect
129. #16839649C22semidirect
130. #16839648C22semidirect
131. #16839645C22semidirect
132. #16839644C22semidirect
133. #16839642C22semidirect
136. #16839640C22semidirect
137. #16839639C22semidirect
140. #16839638C22semidirect
141. #16839637C22semidirect
144. #16839636C22semidirect
145. #16839634C22semidirect
148. #16839633C22semidirect
151. #16839623C22semidirect
152. #16839623C22semidirect
155. #16839619C22semidirect
156. #16839619C22semidirect
161. C4×#11758196C22semidirect
162. C4×#11758196C22semidirect
163. C4×C4⋊Dic61C22semidirect
166. C4×#11758198C22semidirect
167. C4×#11758198C22semidirect
168. C4×#11758198C22semidirect
169. C4×#11758198C22semidirect
170. C4×#11758198C22semidirect
171. C4×#11758198C22semidirect
172. C4×C22⋊Dic61C22semidirect
173. C4×C22⋊Dic61C22semidirect
175. C2×C4×D4×C61C22semidirect
176. C2×C4×D4×C61C22semidirect
177. C2×#117×C61C22semidirect
178. C61×#398C22semidirect
179. C61×#397C22semidirect
180. C61×#396C22semidirect
181. C61×#396C22semidirect
183. C61×#394C22semidirect
184. C61×#394C22semidirect
186. C4×C4⋊C4×C61C22semidirect
187. C4×C22⋊C4×C61C22semidirect
188. C4×C22⋊C4×C61C22semidirect
217. C22×C4×D61D4semidirect
407. C23×D61#41semidirect
529. C2×C4×D61#41semidirect
896. #2392D61semidirect
950. C2×C4×D4C2×D61semidirect
951. C2×C4×D4C2×D61semidirect
954. C2×#117C2×D61semidirect
968. #398C2×D61semidirect
978. #397C2×D61semidirect
985. #396C2×D61semidirect
986. #396C2×D61semidirect
1009. #394C2×D61semidirect
1010. #394C2×D61semidirect
1062. C4×C4⋊C4C2×D61semidirect
1073. C4×C22⋊C4C2×D61semidirect
1074. C4×C22⋊C4C2×D61semidirect
1075. C61#34562semidirect

Maximal subgroups

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

subgroupindex
C2×#168402712
C2×C4×D4×D612
#214517382
#214517352
#214517052
#214517022
#214516692
#214516672
#214516652
#214516632
#214516372
#214516292
#214515932
#214515912
#214515662
#214515582
#214515322
#214515302
#214490822
#214490802
#214490612
#214490552
#214490352
#214490342
C4×#145197622
C4×#145197592
C4×#145197472
C4×#145197452
#214481982
C61×#23922
#3456261