Finite Group Databasebeta

← #29887080

Subgroups — #29887080

Order 15616.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840345C211yesmaximal, characteristic, complemented
2C2×#16840271C211yesmaximal, characteristic, complemented
3#21454112C211yesmaximal, characteristic, complemented
4#21454102C211yesmaximal, characteristic, complemented
5#21452490C211yesmaximal, characteristic, complemented
6#21452445C211yesmaximal, characteristic, complemented
7#21452415C211yesmaximal, characteristic, complemented
8#21452404C211yesmaximal, characteristic, complemented
9#21452238C211yesmaximal, characteristic, complemented
10#21452181C211yesmaximal, characteristic, complemented
11#21452169C211yesmaximal, characteristic, complemented
12#21452166C211yesmaximal, characteristic, complemented
13#21452154C211yesmaximal, characteristic, complemented
14#21452142C211yesmaximal, characteristic, complemented
15#21452139C211yesmaximal, characteristic, complemented
16#21452139C211yesmaximal, characteristic, complemented
17#21452068C211yesmaximal, characteristic, complemented
18#21452043C211yesmaximal, characteristic, complemented
19#21452034C211yesmaximal, characteristic, complemented
20#21452034C211yesmaximal, characteristic, complemented
21#21451706C211yesmaximal, characteristic, complemented
22#21451660C211yesmaximal, characteristic, complemented
23#21451500C211yesmaximal, characteristic, complemented
24#21451446C211yesmaximal, characteristic, complemented
25#21451410C211yesmaximal, characteristic, complemented
26#21451406C211yesmaximal, characteristic, complemented
27#21450790C211yesmaximal, characteristic, complemented
28#21450711C211yesmaximal, characteristic, complemented
29#21449165C211yesmaximal, characteristic, complemented
30#21449140C211yesmaximal, characteristic, complemented
31C61×#2319C211yesmaximal, characteristic, complemented
32C22×#11758222C2211yescharacteristic
33C23×C4×D61C2211yescharacteristic, complemented
34#16840345—28no—
35C2×#14519774C2211yescharacteristic
36C2×#14519772C2211yescharacteristic, complemented
37C2×#14519771C2211yescharacteristic, complemented
38C2×#14519765C2211yescharacteristic, complemented
39C2×#14519765C2211yescharacteristic, complemented
40C2×#14519763C2211yescharacteristic
41#16840271—28no—
42C2×#14519762C2211yescharacteristic, complemented
43C2×#14519762C2211yescharacteristic, complemented
44C2×#14519761C2211yescharacteristic
45C2×#14519761C2211yescharacteristic
46C2×#14519760C2211yescharacteristic
47C2×#14519759C2211yescharacteristic
48C2×#14519757C2211yescharacteristic, complemented
49C2×#14519755C2211yescharacteristic, complemented
50C2×#14519754C2211yescharacteristic, complemented
51C2×#14519754C2211yescharacteristic, complemented
52C2×#14519752C2211yescharacteristic
53C2×#14519752C2211yescharacteristic
54C2×#14519752C2211yescharacteristic, complemented
55C2×#14519751C2211yescharacteristic
56C2×#14519750C2211yescharacteristic
57C2×#14519750C2211yescharacteristic
58C2×#14519749C2211yescharacteristic
59C2×#14519749C2211yescharacteristic
60C2×#14519747C2211yescharacteristic
61C2×#14519747C2211yescharacteristic
62C2×#14519747C2211yescharacteristic
63C2×#14519747C2211yescharacteristic
64C2×#14519747C2211yescharacteristic, complemented
65C2×#14519747C2211yescharacteristic, complemented
66C2×#14519747C2211yescharacteristic, complemented
67C2×#14519747C2211yescharacteristic, complemented
68C2×#14519745C2211yescharacteristic
69C2×#14519745C2211yescharacteristic
70C2×C4×D244C2211yescharacteristic, complemented
71C2×C4×C22⋊D61C2211yescharacteristic
72C2×C4×C22⋊D61C2211yescharacteristic, complemented
73C2×C4×C22⋊D61C2211yescharacteristic, complemented
74C2×#14519734C2211yescharacteristic, complemented
75C22×#11758198C2211yescharacteristic, complemented
76#16839702C2211yescharacteristic, complemented
77#16839699C2211yescharacteristic, complemented
78#16839694C2211yescharacteristic, complemented
79#16839692C2211yescharacteristic, complemented
80#16839692C2211yescharacteristic, complemented
81#16839689C2211yescharacteristic, complemented
82#16839687C2211yescharacteristic, complemented
83#16839687C2211yescharacteristic, complemented
84#16839684C2211yescharacteristic, complemented
85#16839684C2211yescharacteristic, complemented
86#16839684C2211yescharacteristic, complemented
87#16839684C2211yescharacteristic, complemented
88#16839684C2211yescharacteristic, complemented
89#16839684C2211yescharacteristic, complemented
90#16839683C2211yescharacteristic, complemented
91#16839680C2211yescharacteristic, complemented
92#16839680C2211yescharacteristic, complemented
93#16839680C2211yescharacteristic, complemented
94#16839679C2211yescharacteristic
95#16839679C2211yescharacteristic
96#16839679C2211yescharacteristic
97#16839679C2211yescharacteristic
98#16839679C2211yescharacteristic, complemented
99#16839679C2211yescharacteristic, complemented
100#16839679C2211yescharacteristic, complemented
101#16839679C2211yescharacteristic, complemented
102#16839678C2211yescharacteristic
103#16839678C2211yescharacteristic
104#16839678C2211yescharacteristic
105#16839678C2211yescharacteristic
106#16839678C2211yescharacteristic, complemented
107#16839678C2211yescharacteristic, complemented
108#16839678C2211yescharacteristic, complemented
109#16839678C2211yescharacteristic, complemented
110#16839675C2211yescharacteristic, complemented
111#16839675C2211yescharacteristic, complemented
112#16839675C2211yescharacteristic, complemented
113#16839672C2211yescharacteristic
114#16839672C2211yescharacteristic
115#16839672C2211yescharacteristic
116#16839672C2211yescharacteristic
117#16839672C2211yescharacteristic, complemented
118#16839671C2211yescharacteristic
119#16839671C2211yescharacteristic
120#16839671C2211yescharacteristic
121#16839671C2211yescharacteristic
122#16839671C2211yescharacteristic, complemented
123#16839671C2211yescharacteristic, complemented
124#16839668C2211yescharacteristic, complemented
125#16839667C2211yescharacteristic, complemented
126#16839664C2211yescharacteristic
127#16839664C2211yescharacteristic
128#16839664C2211yescharacteristic
129#16839664C2211yescharacteristic, complemented
130#16839664C2211yescharacteristic, complemented
131#16839664C2211yescharacteristic, complemented
132#16839663C2211yescharacteristic, complemented
133#16839660C2211yescharacteristic, complemented
134#16839654C2211yescharacteristic, complemented
135#16839654C2211yescharacteristic, complemented
136#16839654C2211yescharacteristic, complemented
137#16839654C2211yescharacteristic, complemented
138#16839653C2211yescharacteristic, complemented
139#16839653C2211yescharacteristic, complemented
140#16839653C2211yescharacteristic, complemented
141#16839653C2211yescharacteristic, complemented
142#16839653C2211yescharacteristic, complemented
143#16839653C2211yescharacteristic, complemented
144#16839647C2211yescharacteristic, complemented
145#16839647C2211yescharacteristic, complemented
146#16839640C2211yescharacteristic
147#16839640C2211yescharacteristic
148#16839640C2211yescharacteristic
149#16839640C2211yescharacteristic
150#16839640C2211yescharacteristic
151#16839640C2211yescharacteristic
152#16839640C2211yescharacteristic, complemented
153#16839640C2211yescharacteristic, complemented
154#16839640C2211yescharacteristic, complemented
155#16839640C2211yescharacteristic, complemented
156#16839640C2211yescharacteristic, complemented
157#16839640C2211yescharacteristic, complemented
158#16839639C2211yescharacteristic
159#16839639C2211yescharacteristic
160#16839639C2211yescharacteristic, complemented
161#16839639C2211yescharacteristic, complemented
162#16839636C2211yescharacteristic, complemented
163#16839636C2211yescharacteristic, complemented
164#16839636C2211yescharacteristic, complemented
165#16839636C2211yescharacteristic, complemented
166#16839636C2211yescharacteristic, complemented
167#16839636C2211yescharacteristic, complemented
168#16839623C2211yescharacteristic, complemented
169#16839623C2211yescharacteristic, complemented
170#16839619C2211yescharacteristic, complemented
171#16839619C2211yescharacteristic, complemented
172#16839617C2211yescharacteristic, complemented
173#16839617C2211yescharacteristic, complemented
174C2×C4×D4×C61C2211yescharacteristic
175C61×#390C2211yescharacteristic
176C61×#390C2211yescharacteristic
177C61×#389C2211yescharacteristic, complemented
178C61×#389C2211yescharacteristic, complemented
179C61×#388C2211yescharacteristic, complemented
180C61×#388C2211yescharacteristic, complemented
181C61×#388C2211yescharacteristic, complemented
182C61×#388C2211yescharacteristic, complemented
183C61×#381C2211yescharacteristic, complemented
184C61×#381C2211yescharacteristic, complemented
185C61×#380C2211yescharacteristic, complemented
186C61×#380C2211yescharacteristic, complemented
187C4×C4⋊C4×C61C2211yescharacteristic, complemented
188C61×#376C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C2×#11758222—24no—
192C2×#11758222—42no—
193C2×#11758222—42no—
194C22×Dic122C2311yescharacteristic
195C22×Dic122C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×D244C2311yescharacteristic
201C22×D244C2311yescharacteristic
202C22×D244C2311yescharacteristic
203C22×D244C2311yescharacteristic
204C22×D244C2311yescharacteristic
205C22×D244C2311yescharacteristic
206C22×D244C2311yescharacteristic
207C22×D244C2311yescharacteristic
208C22×D244C2311yescharacteristic
209C22×C22⋊D61C2311yescharacteristic
210C22×C22⋊D61C2311yescharacteristic
211C22×C22⋊D61C2311yescharacteristic
212C22×C22⋊D61C2311yescharacteristic
213C22×C22⋊D61C2311yescharacteristic
214C22×C22⋊D61C2311yescharacteristic
215C22×C22⋊D61C2311yescharacteristic
216C22×C22⋊D61C2311yescharacteristic
217C23×Dic61C2311yescharacteristic
218C23×Dic61C2311yescharacteristic
219C22×C4×D61—24no—
220C22×C4×D61—42no—
221C22×C4×D61—42no—
222C22×C4×D61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226C22×C4×D61C2311yescharacteristic
227C22×C4×D61C2311yescharacteristic
228#14519774—42no—
229#14519772—24no—
230#14519771—24no—
231#14519765—24no—
232#14519765—42no—
233#14519763—24no—
234#14519762—24no—
235#14519762—24no—
236#14519761—42no—
237#14519761—42no—
238#14519760—24no—
239#14519759—24no—
240#14519757—42no—
241#14519755—24no—
242#14519754—24no—
243#14519754—24no—
244#14519752—42no—
245#14519752—42no—
246#14519752—42no—
247#14519751—24no—
248#14519750—24no—
249#14519750—24no—
250#14519749—24no—
251#14519749—24no—
252#14519747—24no—
253#14519747—24no—
254#14519747—42no—
255#14519747—42no—
256#14519747—42no—
257#14519747—42no—
258#14519747—42no—
259#14519747—42no—
260#14519745—24no—
261#14519745—24no—
262C4×D244—24no—
263C4×C22⋊D61—24no—
264C4×C22⋊D61—24no—
265C4×C22⋊D61—24no—
266#14519734—24no—
267C2×C4⋊Dic61C2311yescharacteristic
268C2×C4⋊Dic61C2311yescharacteristic
269C2×C4⋊Dic61C2311yescharacteristic
270C2×C4⋊Dic61C2311yescharacteristic
271C2×C4⋊Dic61C2311yescharacteristic
272C2×C4⋊Dic61C2311yescharacteristic
273C2×C4⋊Dic61C2311yescharacteristic
274C2×C4⋊Dic61C2311yescharacteristic
275C2×C4⋊Dic61C2311yescharacteristic
276C2×#11758196C2311yescharacteristic
277C2×#11758196C2311yescharacteristic
278C2×#11758196C2311yescharacteristic
279C2×#11758196C2311yescharacteristic
280C2×#11758196C2311yescharacteristic
281C2×#11758196C2311yescharacteristic
282C2×#11758196C2311yescharacteristic
283C2×#11758196C2311yescharacteristic
284C2×C22⋊Dic61C2311yescharacteristic
285C2×C22⋊Dic61C2311yescharacteristic
286C2×C22⋊Dic61C2311yescharacteristic
287C2×C22⋊Dic61C2311yescharacteristic
288C2×#11758198—24no—
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
317C2×#11758198C2311yescharacteristic
318C2×#11758198C2311yescharacteristic
319C2×#11758198C2311yescharacteristic
320C2×#11758198C2311yescharacteristic
321C2×#11758198C2311yescharacteristic
322C2×#11758198C2311yescharacteristic
323C2×#11758198C2311yescharacteristic
324C2×#11758198C2311yescharacteristic
325C2×#11758198C2311yescharacteristic
326C2×#11758198C2311yescharacteristic
327C2×#11758198C2311yescharacteristic
328C2×#11758198C2311yescharacteristic
329C2×#11758198C2311yescharacteristic
330C2×#11758198C2311yescharacteristic
331C2×#11758198C2311yescharacteristic
332C2×#11758198C2311yescharacteristic
333C2×#11758198C2311yescharacteristic
334C2×#11758198C2311yescharacteristic
335C2×C4×Dic61C2311yescharacteristic
336C2×C4×Dic61C2311yescharacteristic
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
352#14519684C2311yescharacteristic
353#14519684C2311yescharacteristic
354#14519684C2311yescharacteristic
355C22×D4×C61C2311yescharacteristic
356C23×C4×C61C2311yescharacteristic
357C23×C4×C61C2311yescharacteristic
358C4×D4×C61D418yescomplemented
359C2×C4⋊C4×C61C2311yescharacteristic
360C2×C4⋊C4×C61C2311yescharacteristic
361C2×C4⋊C4×C61C2311yescharacteristic
362C2×C4⋊C4×C61C2311yescharacteristic
363C2×C4⋊C4×C61C2311yescharacteristic
364C2×C4⋊C4×C61C2311yescharacteristic
365C2×C4⋊C4×C61C2311yescharacteristic
366C2×C22⋊C4×C61C2311yescharacteristic
367C2×C22⋊C4×C61C2311yescharacteristic
368C2×C22⋊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×C42×C61C2311yescharacteristic
377C2×C42×C61C2311yescharacteristic
378C2×C42×C61C2311yescharacteristic
379C2×C42×C61C2311yescharacteristic
380C2×C42×C61C2311yescharacteristic
381#95×C61C2311yescharacteristic
382#95×C61C2311yescharacteristic
383#95×C61C2311yescharacteristic
384#95×C61C2311yescharacteristic
385#95×C61C2311yescharacteristic
386#95×C61C2311yescharacteristic
387#95×C61C2311yescharacteristic
388#95×C61C2311yescharacteristic
389#95×C61C2311yescharacteristic
390#95×C61C2311yescharacteristic
391C24×C61C2411yescharacteristic
392C24×C61C2411yescharacteristic
393C23×D61—22no—
394C23×D61—22no—
395C23×D61—22no—
396C23×D61—22no—
397C23×D61—41no—
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×D61—41no—
407C23×D61C2411yescharacteristic
408C23×D61C2411yescharacteristic
409C23×D61C2411yescharacteristic
410C23×D61C2411yescharacteristic
411C23×D61C2411yescharacteristic
412C23×D61C2411yescharacteristic
413C2×D4×C61—41no—
414C2×D4×C61—41no—
415C2×D4×C61C2×D414yes—
416C22×C4×C61—41no—
417C22×C4×C61—41no—
418C22×C4×C61—41no—
419C22×C4×C61—41no—
420C22×C4×C61C2×D414yes—
421C22×C4×C61C2×D414yes—
422C22×C4×C61C2411yescharacteristic
423C22×C4×C61C2411yescharacteristic
424C22×C4×C61C2411yescharacteristic
425C22×C4×C61C2411yescharacteristic
426C22×C4×C61C2411yescharacteristic
427C22×C4×C61C2411yescharacteristic
428C22×C4×C61C2411yescharacteristic
429C22×C4×C61C2411yescharacteristic
430C22×C4×C61C2411yescharacteristic
431C22×C4×C61C2411yescharacteristic
432C22×C4×C61C2411yescharacteristic
433C22×C4×C61C2411yescharacteristic
434C22×C4×C61C2411yescharacteristic
435C2×C22⋊D61—22no—
436C2×C22⋊D61—22no—
437C2×C22⋊D61—22no—
438C2×C22⋊D61—22no—
439C2×C22⋊D61—22no—
440C2×C22⋊D61—22no—
441C2×C22⋊D61—22no—
442C2×C22⋊D61—22no—
443C2×C22⋊D61—22no—
444C2×C22⋊D61—22no—
445C2×C22⋊D61—22no—
446C2×C22⋊D61—41no—
447C2×C22⋊D61—41no—
448C2×C22⋊D61—41no—
449C2×C22⋊D61—41no—
450C2×C22⋊D61—41no—
451C2×C22⋊D61—41no—
452C2×C22⋊D61—41no—
453C2×C22⋊D61—41no—
454C2×C22⋊D61—41no—
455C2×C22⋊D61—41no—
456C2×C22⋊D61—41no—
457C2×C22⋊D61—41no—
458C2×C22⋊D61—41no—
459C22×Dic61—22no—
460C22×Dic61—22no—
461C22×Dic61—22no—
462C22×Dic61—41no—
463C22×Dic61—41no—
464C22×Dic61—41no—
465C22×Dic61C2411yescharacteristic
466C22×Dic61C2411yescharacteristic
467C22×Dic61C2411yescharacteristic
468C22×Dic61C2411yescharacteristic
469C22×Dic61C2411yescharacteristic
470C22×Dic61C2411yescharacteristic
471C22×Dic61C2411yescharacteristic
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475#11758222—416no—
476C2×D244—22no—
477C2×D244—22no—
478C2×D244—22no—
479C2×D244—22no—
480C2×D244—22no—
481C2×D244—22no—
482C2×D244—22no—
483C2×D244—22no—
484C2×D244—22no—
485C2×D244—22no—
486C2×D244—22no—
487C2×D244—22no—
488C2×D244—41no—
489C2×D244—41no—
490C2×D244—41no—
491C2×D244—41no—
492C2×D244—41no—
493C2×D244—41no—
494C2×D244—41no—
495C2×D244—41no—
496C2×D244—41no—
497C2×D244—41no—
498C2×D244—41no—
499C2×D244—41no—
500C2×D244—41no—
501C2×D244—41no—
502C2×D244—41no—
503C2×D244—41no—
504C2×D244—41no—
505C2×D244—41no—
506C2×D244—41no—
507C2×D244—41no—
508C2×D244—41no—
509C2×D244—41no—
510C2×D244—41no—
511C2×D244—41no—
512C2×D244—41no—
513C2×D244—41no—
514C2×D244—41no—
515C2×C4×D61—22no—
516C2×C4×D61—22no—
517C2×C4×D61—22no—
518C2×C4×D61—22no—
519C2×C4×D61—22no—
520C2×C4×D61—22no—
521C2×C4×D61—22no—
522C2×C4×D61—22no—
523C2×C4×D61—22no—
524C2×C4×D61—22no—
525C2×C4×D61—416no—
526C2×C4×D61—41no—
527C2×C4×D61—41no—
528C2×C4×D61—41no—
529C2×C4×D61—41no—
530C2×C4×D61—41no—
531C2×C4×D61—41no—
532C2×C4×D61—41no—
533C2×C4×D61—41no—
534C2×Dic122—22no—
535C2×Dic122—22no—
536C2×Dic122—22no—
537C2×Dic122—41no—
538C2×Dic122—41no—
539C2×Dic122—41no—
540C4⋊C4×C61—41no—
541C4⋊C4×C61—41no—
542C4⋊C4×C61—41no—
543C4⋊C4×C61—41no—
544C4⋊C4×C61—41no—
545C4⋊C4×C61—41no—
546C4⋊C4×C61C2×D414yes—
547C22⋊C4×C61—41no—
548C22⋊C4×C61—41no—
549C22⋊C4×C61—41no—
550C22⋊C4×C61—41no—
551C22⋊C4×C61—41no—
552C22⋊C4×C61—41no—
553C22⋊C4×C61—41no—
554C22⋊C4×C61—41no—
555C22⋊C4×C61C2×D414yes—
556C22⋊C4×C61C2×D414yes—
557C42×C61—41no—
558C42×C61—41no—
559C42×C61—41no—
560C42×C61—41no—
561C42×C61C2×D414yes—
562C22⋊Dic61—22no—
563C22⋊Dic61—22no—
564C22⋊Dic61—22no—
565C22⋊Dic61—22no—
566#11758198—22no—
567#11758198—22no—
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—22no—
587#11758198—22no—
588#11758198—22no—
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—
598#11758198—41no—
599#11758198—41no—
600#11758198—41no—
601#11758198—41no—
602#11758198—41no—
603#11758198—41no—
604#11758198—41no—
605#11758198—41no—
606#11758198—41no—
607#11758198—41no—
608#11758198—41no—
609#11758198—41no—
610#11758198—41no—
611#11758198—41no—
612C4⋊Dic61—22no—
613C4⋊Dic61—22no—
614C4⋊Dic61—22no—
615C4⋊Dic61—41no—
616C4⋊Dic61—41no—
617C4⋊Dic61—41no—
618C4⋊Dic61—41no—
619C4⋊Dic61—41no—
620C4⋊Dic61—41no—
621#11758196—22no—
622#11758196—22no—
623#11758196—22no—
624#11758196—22no—
625#11758196—22no—
626#11758196—22no—
627#11758196—22no—
628#11758196—22no—
629C4×Dic61—22no—
630C4×Dic61—22no—
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×C61—21no—
643C23×C61C22×D412yes—
644C23×C61C22×D412yes—
645C23×C61C2511yescharacteristic
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—21no—
662C22×D61—21no—
663C22×D61—21no—
664C22×D61—21no—
665C22×D61—21no—
666C22×D61—21no—
667C22×D61—21no—
668C22×D61—21no—
669C22×D61—21no—
670C22×D61—21no—
671C22×D61—21no—
672C22×D61—21no—
673C22×D61—21no—
674C22×D61—21no—
675C22×D61—21no—
676C22×D61—21no—
677C22×D61—21no—
678C22×D61—21no—
679C22×D61—21no—
680C22×D61—21no—
681C22×D61—21no—
682C22×D61—21no—
683C22×D61—21no—
684C22×D61—21no—
685C22×D61—21no—
686C22×D61—44no—
687C22×D61—44no—
688C22×D61—44no—
689C22×D61—44no—
690C22×D61—44no—
691C22×D61—44no—
692C22×D61—44no—
693C22×D61—44no—
694C22×D61—82no—
695C22×D61—82no—
696C22×D61—82no—
697C22×D61—82no—
698C22×D61—82no—
699C22×D61—82no—
700C22×D61H(5,𝔽2)12yes—
701C22×D61H(5,𝔽2)12yes—
702D4×C61—44no—
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—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—21no—
727C2×C4×C61—21no—
728C2×C4×C61—21no—
729C2×C4×C61—21no—
730C2×C4×C61—21no—
731C2×C4×C61—21no—
732C2×C4×C61—21no—
733C2×C4×C61—21no—
734C2×C4×C61—21no—
735C2×C4×C61—21no—
736C2×C4×C61—21no—
737C2×C4×C61—44no—
738C2×C4×C61—44no—
739C2×C4×C61C22×D412yes—
740C2×C4×C61C22×D412yes—
741C2×C4×C61C22×D412yes—
742C2×C4×C61C22×D412yes—
743C2×C4×C61C22×D412yes—
744C22⋊D61—44no—
745C22⋊D61—44no—
746C22⋊D61—44no—
747C22⋊D61—44no—
748C22⋊D61—44no—
749C22⋊D61—82no—
750C22⋊D61—82no—
751C22⋊D61—82no—
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—21no—
771C2×Dic61—21no—
772C2×Dic61—21no—
773C2×Dic61—21no—
774C2×Dic61—21no—
775C2×Dic61—21no—
776C2×Dic61—21no—
777C2×Dic61—21no—
778C2×Dic61—21no—
779C2×Dic61—21no—
780C2×Dic61—21no—
781C2×Dic61—44no—
782C2×Dic61—82no—
783C2×Dic61H(5,𝔽2)12yes—
784D244—44no—
785D244—44no—
786D244—82no—
787D244—82no—
788D244—82no—
789D244—82no—
790D244—82no—
791D244—82no—
792D244—82no—
793D244—82no—
794D244—82no—
795D244—82no—
796D244—82no—
797C4×D61—28no—
798C4×D61—44no—
799C4×D61—44no—
800C4×D61—44no—
801C4×D61—44no—
802C4×D61—82no—
803Dic122—44no—
804Dic122—82no—
805#36724—611nomaximal, Sylow
806C22×C61—22no—
807C22×C61—22no—
808C22×C61—22no—
809C22×C61—22no—
810C22×C61—22no—
811C22×C61—22no—
812C22×C61—41no—
813C22×C61—41no—
814C22×C61—41no—
815C22×C61—41no—
816C22×C61—41no—
817C22×C61—41no—
818C22×C61—41no—
819C22×C61—41no—
820C22×C61C23×D411yescharacteristic
821C22×C61C2×H(5,𝔽2)11yescharacteristic
822C22×C61C2×H(5,𝔽2)11yescharacteristic
823C22×C61C2×H(5,𝔽2)11yescharacteristic
824C22×C61#58511yescharacteristic
825C22×C61#58511yescharacteristic
826C22×C61#58511yescharacteristic
827C2×D61—22no—
828C2×D61—22no—
829C2×D61—22no—
830C2×D61—22no—
831C2×D61—22no—
832C2×D61—22no—
833C2×D61—416no—
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—41no—
849C2×D61—41no—
850C2×D61—41no—
851C2×D61—41no—
852C2×D61—41no—
853C2×D61—41no—
854C2×D61—41no—
855C2×D61—41no—
856C2×D61—41no—
857C2×D61—41no—
858C2×D61—41no—
859C2×D61—41no—
860C2×D61—41no—
861C2×D61—41no—
862C2×D61—41no—
863C2×D61—41no—
864C2×D61—41no—
865C2×D61—41no—
866C2×D61—41no—
867C2×D61—41no—
868C2×D61—41no—
869C2×D61—41no—
870C2×D61—88no—
871C4×C61—22no—
872C4×C61—22no—
873C4×C61—22no—
874C4×C61—22no—
875C4×C61—22no—
876C4×C61—41no—
877C4×C61—41no—
878C4×C61—41no—
879C4×C61—41no—
880C4×C61—41no—
881C4×C61—41no—
882C4×C61—41no—
883C4×C61—41no—
884Dic61—22no—
885Dic61—41no—
886Dic61—41no—
887Dic61—41no—
888Dic61—41no—
889Dic61—41no—
890Dic61—41no—
891Dic61—41no—
892Dic61—41no—
893Dic61—41no—
894C2×#538—611no—
895C2×#525—611no—
896#2849—611no—
897#2847—611no—
898#2705—611no—
899#2702—611no—
900#2700—611no—
901#2699—611no—
902#2687—611no—
903#2682—611no—
904#2681—611no—
905#2681—611no—
906#2679—611no—
907#2678—611no—
908#2678—611no—
909#2678—611no—
910#2672—611no—
911#2670—611no—
912#2669—611no—
913#2669—611no—
914#2635—611no—
915#2630—611no—
916#2610—611no—
917#2603—611no—
918#2601—611no—
919#2600—611no—
920#2544—611no—
921#2534—611no—
922#2407—611no—
923#2404—611no—
924#2319D6111yescharacteristic, complemented
925C2×C61—42no—
926C2×C61—42no—
927C2×C61#344911yescharacteristic
928C2×C61#348411yescharacteristic
929C2×C61#348811yescharacteristic
930C2×C61#353311yescharacteristic
931C2×C61#353411yescharacteristic
932C2×C61#354011yescharacteristic
933C2×C61#354211yescharacteristic
934D61—42no—
935D61—42no—
936D61—81no—
937D61—81no—
938D61—81no—
939D61—81no—
940C22×#41—611no—
941C24×C4—611no—
942#538—1228no—
943C2×#127—611no—
944C2×#126—611no—
945C2×#126—611no—
946C2×#124—611no—
947C2×#124—611no—
948C2×#124—611no—
949#525—1228no—
950C2×#123—611no—
951C2×#123—611no—
952C2×#123—611no—
953C2×#123—611no—
954C2×#123—611no—
955C2×#123—611no—
956C2×C22⋊Q8—611no—
957C2×C22⋊Q8—611no—
958C2×C22⋊Q8—611no—
959C2×C22⋊Q8—611no—
960C2×#121—611no—
961C2×#121—611no—
962C2×#121—611no—
963C2×#121—611no—
964C2×#121—611no—
965C2×#121—611no—
966C2×#121—611no—
967C2×#121—611no—
968C2×#120—611no—
969C2×#120—611no—
970C2×#120—611no—
971C2×#120—611no—
972C2×#120—611no—
973C2×#120—611no—
974C2×#120—611no—
975C2×#120—611no—
976C2×#120—611no—
977C2×#120—611no—
978C2×C4×D4—611no—
979C2×C4×D4—611no—
980C2×C4×D4—611no—
981C2×C4×D4—611no—
982C2×C4×D4C2×D6111yescharacteristic
983C2×#117—611no—
984C22×C22⋊C4—611no—
985#400—611no—
986#399—611no—
987#398—611no—
988#398—611no—
989#398—611no—
990#397—611no—
991#397—611no—
992#397—611no—
993#396—611no—
994#396—611no—
995#396—611no—
996#396—611no—
997#396—611no—
998#396—611no—
999#395—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#394—611no—
1009#394—611no—
1010#394—611no—
1011#394—611no—
1012#394—611no—
1013#394—611no—
1014#394—611no—
1015#394—611no—
1016#394—611no—
1017#394—611no—
1018#394—611no—
1019#393—611no—
1020#393—611no—
1021#393—611no—
1022#392—611no—
1023#392—611no—
1024#392—611no—
1025#392—611no—
1026#392—611no—
1027#392—611no—
1028#392—611no—
1029#392—611no—
1030#392—611no—
1031#392—611no—
1032#392—611no—
1033#391—611no—
1034#391—611no—
1035#390—611no—
1036#390—611no—
1037#390—611no—
1038#390—611no—
1039#390—611no—
1040#390—611no—
1041#390—611no—
1042#390C2×D6111yescharacteristic
1043#390C2×D6111yescharacteristic
1044#389—611no—
1045#389C2×D6111yescharacteristic, complemented
1046#389C2×D6111yescharacteristic, complemented
1047#388—611no—
1048#388—611no—
1049#388—611no—
1050#388—611no—
1051#388—611no—
1052#388—611no—
1053#388—611no—
1054#388—611no—
1055#388—611no—
1056#388—611no—
1057#388C2×D6111yescharacteristic, complemented
1058#388C2×D6111yescharacteristic, complemented
1059#388C2×D6111yescharacteristic, complemented
1060#388C2×D6111yescharacteristic, complemented
1061#387—611no—
1062#387—611no—
1063#386—611no—
1064#386—611no—
1065#386—611no—
1066#386—611no—
1067#386—611no—
1068#386—611no—
1069#386—611no—
1070#386—611no—
1071#386—611no—
1072#386—611no—
1073#386—611no—
1074#386—611no—
1075#386—611no—
1076#386—611no—
1077#386—611no—
1078#386—611no—
1079#385—611no—
1080#385—611no—
1081#385—611no—
1082#385—611no—
1083#385—611no—
1084#385—611no—
1085#381—611no—
1086#381—611no—
1087#381C2×D6111yescharacteristic, complemented
1088#381C2×D6111yescharacteristic, complemented
1089#380—611no—
1090#380—611no—
1091#380C2×D6111yescharacteristic, complemented
1092#380C2×D6111yescharacteristic, complemented
1093#379—611no—
1094#379—611no—
1095C4×C4⋊C4C2×D6111yescharacteristic, complemented
1096#376C2×D6111yescharacteristic, complemented
1097C61#3672411yescharacteristic, complemented, Sylow
1098C25—611no—
1099C25—611no—
1100C2×#41—1224no—
1101C2×#41—2442no—
1102C2×#41—2442no—
1103C22×Q8—611no—
1104C22×Q8—611no—
1105C22×D4—611no—
1106C22×D4—611no—
1107C22×D4—611no—
1108C22×D4—611no—
1109C22×D4—611no—
1110C22×D4—611no—
1111C22×D4—611no—
1112C22×D4—611no—
1113C22×D4—611no—
1114C22×D4—611no—
1115C22×D4—611no—
1116C22×D4—611no—
1117C22×D4—611no—
1118C22×D4—611no—
1119C22×D4—611no—
1120C22×D4—611no—
1121C22×D4—611no—
1122C22×D4—611no—
1123C22×D4—611no—
1124C22×D4—611no—
1125C22×D4—611no—
1126C22×D4C22×D6111yescharacteristic
1127C23×C4—611no—
1128C23×C4—611no—
1129C23×C4—611no—
1130C23×C4—611no—
1131C23×C4—611no—
1132C23×C4—611no—
1133C23×C4—611no—
1134C23×C4—611no—
1135C23×C4—1224no—
1136C23×C4—2442no—
1137C23×C4—2442no—
1138C23×C4C22×D6111yescharacteristic
1139C23×C4C22×D6111yescharacteristic
1140#127—2442no—
1141#126—1224no—
1142#126—1224no—
1143#124—1224no—
1144#124—1224no—
1145#124—2442no—
1146#123—1224no—
1147#123—1224no—
1148#123—1224no—
1149#123—1224no—
1150#123—2442no—
1151#123—2442no—
1152C22⋊Q8—1224no—
1153C22⋊Q8—1224no—
1154C22⋊Q8—1224no—
1155C22⋊Q8—2442no—
1156#121—1224no—
1157#121—1224no—
1158#121—1224no—
1159#121—1224no—
1160#121—1224no—
1161#121—2442no—
1162#121—2442no—
1163#121—2442no—
1164#120—1224no—
1165#120—1224no—
1166#120—1224no—
1167#120—1224no—
1168#120—2442no—
1169#120—2442no—
1170#120—2442no—
1171#120—2442no—
1172#120—2442no—
1173#120—2442no—
1174C4×D4—1224no—
1175C4×D4—1224no—
1176C4×D4—1224no—
1177C4×D4—1224no—
1178C4×D4D24418yescomplemented
1179#117—1224no—
1180C2×C4⋊C4—611no—
1181C2×C4⋊C4—611no—
1182C2×C4⋊C4—611no—
1183C2×C4⋊C4—611no—
1184C2×C4⋊C4—611no—
1185C2×C4⋊C4—611no—
1186C2×C4⋊C4—611no—
1187C2×C4⋊C4—611no—
1188C2×C4⋊C4—611no—
1189C2×C4⋊C4—611no—
1190C2×C4⋊C4—611no—
1191C2×C4⋊C4—611no—
1192C2×C4⋊C4—611no—
1193C2×C4⋊C4—611no—
1194C2×C4⋊C4—611no—
1195C2×C4⋊C4—611no—
1196C2×C4⋊C4—611no—
1197C2×C4⋊C4C22×D6111yescharacteristic
1198C2×C4⋊C4C22×D6111yescharacteristic
1199C2×C4⋊C4C22×D6111yescharacteristic
1200C2×C4⋊C4C22×D6111yescharacteristic
1201C2×C4⋊C4C22×D6111yescharacteristic
1202C2×C4⋊C4C22×D6111yescharacteristic
1203C2×C4⋊C4C22×D6111yescharacteristic
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—611no—
1222C2×C22⋊C4—611no—
1223C2×C22⋊C4—611no—
1224C2×C22⋊C4—611no—
1225C2×C22⋊C4—611no—
1226C2×C22⋊C4—611no—
1227C2×C22⋊C4—611no—
1228C2×C22⋊C4—611no—
1229C2×C22⋊C4—611no—
1230C2×C22⋊C4—611no—
1231C2×C22⋊C4—611no—
1232C2×C22⋊C4—611no—
1233C2×C22⋊C4—611no—
1234C2×C22⋊C4—611no—
1235C2×C22⋊C4—611no—
1236C2×C22⋊C4—611no—
1237C2×C22⋊C4—611no—
1238C2×C22⋊C4—611no—
1239C2×C22⋊C4—611no—
1240C2×C22⋊C4—611no—
1241C2×C22⋊C4—611no—
1242C2×C22⋊C4—611no—
1243C2×C22⋊C4—611no—
1244C2×C22⋊C4—611no—
1245C2×C22⋊C4—611no—
1246C2×C22⋊C4—611no—
1247C2×C22⋊C4—611no—
1248C2×C22⋊C4—611no—
1249C2×C22⋊C4—611no—
1250C2×C22⋊C4—611no—
1251C2×C22⋊C4—611no—
1252C2×C22⋊C4—611no—
1253C2×C22⋊C4—611no—
1254C2×C22⋊C4—1224no—
1255C2×C22⋊C4C22×D6111yescharacteristic
1256C2×C22⋊C4C22×D6111yescharacteristic
1257C2×C22⋊C4C22×D6111yescharacteristic
1258C2×C22⋊C4C22×D6111yescharacteristic
1259C2×C22⋊C4C22×D6111yescharacteristic
1260C2×C22⋊C4C22×D6111yescharacteristic
1261C2×C22⋊C4C22×D6111yescharacteristic
1262C2×C22⋊C4C22×D6111yescharacteristic
1263C2×C22⋊C4C22×D6111yescharacteristic
1264C2×C22⋊C4C22×D6111yescharacteristic
1265C2×C42—611no—
1266C2×C42—611no—
1267C2×C42C22×D6111yescharacteristic
1268C2×C42C22×D6111yescharacteristic
1269C2×C42C22×D6111yescharacteristic
1270C2×C42C22×D6111yescharacteristic
1271C2×C42C22×D6111yescharacteristic
1272#95—611no—
1273#95—611no—
1274#95—611no—
1275#95—611no—
1276#95—611no—
1277#95—611no—
1278#95—611no—
1279#95—611no—
1280#95—611no—
1281#95—611no—
1282#95—611no—
1283#95—611no—
1284#95—611no—
1285#95—611no—
1286#95—611no—
1287#95—611no—
1288#95—611no—
1289#95—611no—
1290#95C22×D6111yescharacteristic
1291#95C22×D6111yescharacteristic
1292#95C22×D6111yescharacteristic
1293#95C22×D6111yescharacteristic
1294#95C22×D6111yescharacteristic
1295#95C22×D6111yescharacteristic
1296#95C22×D6111yescharacteristic
1297#95C22×D6111yescharacteristic
1298#95C22×D6111yescharacteristic
1299#95C22×D6111yescharacteristic
1300C24—611no—
1301C24—611no—
1302C24—611no—
1303C24—611no—
1304C24—611no—
1305C24—611no—
1306C24—1222no—
1307C24—1222no—
1308C24—1222no—
1309C24—1222no—
1310C24—2441no—
1311C24—2441no—
1312C24—2441no—
1313C24—2441no—
1314C24—2441no—
1315C24—2441no—
1316C24—2441no—
1317C24—2441no—
1318C24—2441no—
1319C24—2441no—
1320C24C23×D6111yescharacteristic
1321C24C23×D6111yescharacteristic
1322#41—24416no—
1323C2×Q8—1222no—
1324C2×Q8—1222no—
1325C2×Q8—1222no—
1326C2×Q8—2441no—
1327C2×Q8—2441no—
1328C2×Q8—2441no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—1222no—
1332C2×D4—1222no—
1333C2×D4—1222no—
1334C2×D4—1222no—
1335C2×D4—1222no—
1336C2×D4—1222no—
1337C2×D4—1222no—
1338C2×D4—1222no—
1339C2×D4—1222no—
1340C2×D4—1222no—
1341C2×D4—1222no—
1342C2×D4—1222no—
1343C2×D4—1222no—
1344C2×D4—1222no—
1345C2×D4—1222no—
1346C2×D4—1222no—
1347C2×D4—1222no—
1348C2×D4—1222no—
1349C2×D4—1222no—
1350C2×D4—1222no—
1351C2×D4—1222no—
1352C2×D4—1222no—
1353C2×D4—1222no—
1354C2×D4—2441no—
1355C2×D4—2441no—
1356C2×D4—2441no—
1357C2×D4—2441no—
1358C2×D4—2441no—
1359C2×D4—2441no—
1360C2×D4—2441no—
1361C2×D4—2441no—
1362C2×D4—2441no—
1363C2×D4—2441no—
1364C2×D4—2441no—
1365C2×D4—2441no—
1366C2×D4—2441no—
1367C2×D4—2441no—
1368C2×D4—2441no—
1369C2×D4—2441no—
1370C2×D4—2441no—
1371C2×D4—2441no—
1372C2×D4—2441no—
1373C2×D4—2441no—
1374C2×D4—2441no—
1375C2×D4—2441no—
1376C2×D4—2441no—
1377C2×D4—2441no—
1378C2×D4—2441no—
1379C2×D4—2441no—
1380C2×D4—2441no—
1381C2×D4—2441no—
1382C2×D4—2441no—
1383C2×D4—2441no—
1384C2×D4—2441no—
1385C2×D4—2441no—
1386C2×D4—2441no—
1387C2×D4—2441no—
1388C2×D4—2441no—
1389C2×D4—2441no—
1390C2×D4—2441no—
1391C2×D4—2441no—
1392C2×D4—2441no—
1393C2×D4—2441no—
1394C2×D4C2×D24414yes—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—611no—
1400C22×C4—611no—
1401C22×C4—611no—
1402C22×C4—611no—
1403C22×C4—611no—
1404C22×C4—611no—
1405C22×C4—611no—
1406C22×C4—611no—
1407C22×C4—611no—
1408C22×C4—611no—
1409C22×C4—1222no—
1410C22×C4—1222no—
1411C22×C4—1222no—
1412C22×C4—1222no—
1413C22×C4—1222no—
1414C22×C4—1222no—
1415C22×C4—1222no—
1416C22×C4—1222no—
1417C22×C4—1222no—
1418C22×C4—1222no—
1419C22×C4—1222no—
1420C22×C4—1222no—
1421C22×C4—1222no—
1422C22×C4—2441no—
1423C22×C4—2441no—
1424C22×C4—2441no—
1425C22×C4—2441no—
1426C22×C4—2441no—
1427C22×C4—2441no—
1428C22×C4—2441no—
1429C22×C4—2441no—
1430C22×C4—24416no—
1431C22×C4—2441no—
1432C22×C4—2441no—
1433C22×C4—2441no—
1434C22×C4C2×D24414yes—
1435C22×C4C2×D24414yes—
1436C22×C4C23×D6111yescharacteristic
1437C22×C4C23×D6111yescharacteristic
1438C22×C4C23×D6111yescharacteristic
1439C22×C4C23×D6111yescharacteristic
1440C22×C4C23×D6111yescharacteristic
1441C22×C4C23×D6111yescharacteristic
1442C22×C4C23×D6111yescharacteristic
1443C22×C4C23×D6111yescharacteristic
1444C22×C4C23×D6111yescharacteristic
1445C22×C4C23×D6111yescharacteristic
1446C22×C4C23×D6111yescharacteristic
1447C22×C4C23×D6111yescharacteristic
1448C22×C4C23×D6111yescharacteristic
1449C4⋊C4—41no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—41no—
1453C4⋊C4—41no—
1454C4⋊C4—41no—
1455C4⋊C4—1222no—
1456C4⋊C4—1222no—
1457C4⋊C4—1222no—
1458C4⋊C4—1222no—
1459C4⋊C4—1222no—
1460C4⋊C4—1222no—
1461C4⋊C4—1222no—
1462C4⋊C4—1222no—
1463C4⋊C4—1222no—
1464C4⋊C4—1222no—
1465C4⋊C4—1222no—
1466C4⋊C4—2441no—
1467C4⋊C4—2441no—
1468C4⋊C4—2441no—
1469C4⋊C4—2441no—
1470C4⋊C4—2441no—
1471C4⋊C4—2441no—
1472C4⋊C4C2×D24414yes—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—1222no—
1482C22⋊C4—1222no—
1483C22⋊C4—1222no—
1484C22⋊C4—1222no—
1485C22⋊C4—1222no—
1486C22⋊C4—1222no—
1487C22⋊C4—1222no—
1488C22⋊C4—1222no—
1489C22⋊C4—1222no—
1490C22⋊C4—1222no—
1491C22⋊C4—1222no—
1492C22⋊C4—1222no—
1493C22⋊C4—1222no—
1494C22⋊C4—1222no—
1495C22⋊C4—1222no—
1496C22⋊C4—1222no—
1497C22⋊C4—1222no—
1498C22⋊C4—1222no—
1499C22⋊C4—1222no—
1500C22⋊C4—1222no—
1501C22⋊C4—1222no—
1502C22⋊C4—1222no—
1503C22⋊C4—1222no—
1504C22⋊C4—1222no—
1505C22⋊C4—1222no—
1506C22⋊C4—1222no—
1507C22⋊C4—1222no—
1508C22⋊C4—2441no—
1509C22⋊C4—2441no—
1510C22⋊C4—2441no—
1511C22⋊C4—2441no—
1512C22⋊C4—2441no—
1513C22⋊C4—2441no—
1514C22⋊C4—2441no—
1515C22⋊C4—2441no—
1516C22⋊C4—2441no—
1517C22⋊C4—2441no—
1518C22⋊C4—2441no—
1519C22⋊C4—2441no—
1520C22⋊C4—2441no—
1521C22⋊C4—2441no—
1522C22⋊C4—2441no—
1523C22⋊C4—2441no—
1524C22⋊C4—2441no—
1525C22⋊C4—2441no—
1526C22⋊C4—2441no—
1527C22⋊C4—2441no—
1528C22⋊C4—2441no—
1529C22⋊C4—2441no—
1530C22⋊C4—2441no—
1531C22⋊C4C2×D24414yes—
1532C22⋊C4C2×D24414yes—
1533C42—41no—
1534C42—41no—
1535C42—41no—
1536C42—41no—
1537C42—1222no—
1538C42—1222no—
1539C42C2×D24414yes—
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—612no—
1553C23—612no—
1554C23—1221no—
1555C23—1221no—
1556C23—1221no—
1557C23—1221no—
1558C23—1221no—
1559C23—1221no—
1560C23—1221no—
1561C23—1221no—
1562C23—1221no—
1563C23—1221no—
1564C23—1221no—
1565C23—1221no—
1566C23—1221no—
1567C23—1221no—
1568C23—1221no—
1569C23—1221no—
1570C23—1221no—
1571C23—1221no—
1572C23—1221no—
1573C23—1221no—
1574C23—1221no—
1575C23—1221no—
1576C23—1221no—
1577C23—1221no—
1578C23—1221no—
1579C23—1221no—
1580C23—1221no—
1581C23—1221no—
1582C23—1221no—
1583C23—1221no—
1584C23—1221no—
1585C23—1221no—
1586C23—1221no—
1587C23—1221no—
1588C23—1221no—
1589C23—1221no—
1590C23—1221no—
1591C23—1221no—
1592C23—1221no—
1593C23—1221no—
1594C23—4882no—
1595C23—4882no—
1596C23—4882no—
1597C23—4882no—
1598C23—4882no—
1599C23—4882no—
1600C23—2444no—
1601C23—2444no—
1602C23—2444no—
1603C23—2444no—
1604C23—2444no—
1605C23—2444no—
1606C23—2444no—
1607C23—2444no—
1608C23C22×D24412yes—
1609C23C22×D24412yes—
1610C23C24×D6111yescharacteristic
1611Q8—4882no—
1612Q8—2444no—
1613D4—44no—
1614D4—4882no—
1615D4—4882no—
1616D4—4882no—
1617D4—4882no—
1618D4—4882no—
1619D4—4882no—
1620D4—4882no—
1621D4—4882no—
1622D4—4882no—
1623D4—4882no—
1624D4—4882no—
1625D4—4882no—
1626D4—4882no—
1627D4—4882no—
1628D4—2444no—
1629D4—2444no—
1630D4—2444no—
1631D4—2444no—
1632D4—2444no—
1633D4—2444no—
1634D4—2444no—
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—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—612no—
1672C2×C4—1228no—
1673C2×C4—1221no—
1674C2×C4—1221no—
1675C2×C4—1221no—
1676C2×C4—1221no—
1677C2×C4—1221no—
1678C2×C4—1221no—
1679C2×C4—1221no—
1680C2×C4—1221no—
1681C2×C4—1221no—
1682C2×C4—1221no—
1683C2×C4—1221no—
1684C2×C4—1221no—
1685C2×C4—1221no—
1686C2×C4—1221no—
1687C2×C4—1221no—
1688C2×C4—1221no—
1689C2×C4—1221no—
1690C2×C4—1221no—
1691C2×C4—1221no—
1692C2×C4—1221no—
1693C2×C4—1221no—
1694C2×C4—1221no—
1695C2×C4—1221no—
1696C2×C4—1221no—
1697C2×C4—1221no—
1698C2×C4—1221no—
1699C2×C4—1221no—
1700C2×C4—1221no—
1701C2×C4—1221no—
1702C2×C4—4882no—
1703C2×C4—4882no—
1704C2×C4—2444no—
1705C2×C4—2444no—
1706C2×C4—2444no—
1707C2×C4—2444no—
1708C2×C4—2444no—
1709C2×C4C22×D24412yes—
1710C2×C4C22×D24412yes—
1711C2×C4C22×D24412yes—
1712C2×C4C22×D24412yes—
1713C2×C4C22×D24412yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—1222no—
1729C22—1222no—
1730C22—1222no—
1731C22—1222no—
1732C22—1222no—
1733C22—1222no—
1734C22—4888no—
1735C22—24416no—
1736C22—2441no—
1737C22—2441no—
1738C22—2441no—
1739C22—2441no—
1740C22—2441no—
1741C22—2441no—
1742C22—2441no—
1743C22—2441no—
1744C22—2441no—
1745C22—2441no—
1746C22—2441no—
1747C22—2441no—
1748C22—2441no—
1749C22—2441no—
1750C22—2441no—
1751C22—2441no—
1752C22—2441no—
1753C22—2441no—
1754C22—2441no—
1755C22—2441no—
1756C22—2441no—
1757C22—2441no—
1758C22—2441no—
1759C22—2441no—
1760C22—2441no—
1761C22—2441no—
1762C22—2441no—
1763C22—2441no—
1764C22—2441no—
1765C22—2441no—
1766C22—2441no—
1767C22—2441no—
1768C22—2441no—
1769C22—2441no—
1770C22—2441no—
1771C22—2441no—
1772C22C23×D24411yescharacteristic
1773C22H(5,𝔽2)×D6111yescharacteristic
1774C22H(5,𝔽2)×D6111yescharacteristic
1775C22H(5,𝔽2)×D6111yescharacteristic
1776C22#1684059811yescharacteristic
1777C22#1684059811yescharacteristic
1778C22#1684059911yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—22no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—1222no—
1793C4—2441no—
1794C4—2441no—
1795C4—2441no—
1796C4—2441no—
1797C4—2441no—
1798C4—2441no—
1799C4—2441no—
1800C4—2441no—
1801C4—2441no—
1802C2—42no—
1803C2—42no—
1804C2—4881no—
1805C2—4881no—
1806C2—4881no—
1807C2—4881no—
1808C2—2442no—
1809C2—2442no—
1810C2#2145915211yescharacteristic
1811C2#2145945511yescharacteristic
1812C2#2145948911yescharacteristic
1813C2#2145998211yescharacteristic
1814C2#2146000211yescharacteristic
1815C2#2146008411yescharacteristic
1816C2#2146012611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2319C2
hypercenter#2319D61
hypocenterC61#36724
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2319

Complements

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

NH ≅ G/Ntype
1. C2×#16840345C2semidirect
2. C2×#16840271C2semidirect
3. #21454112C2semidirect
4. #21454102C2semidirect
5. #21452490C2semidirect
6. #21452445C2semidirect
7. #21452415C2semidirect
8. #21452404C2semidirect
9. #21452238C2semidirect
10. #21452181C2semidirect
11. #21452169C2semidirect
12. #21452166C2semidirect
13. #21452154C2semidirect
14. #21452142C2semidirect
15. #21452139C2semidirect
16. #21452139C2semidirect
17. #21452068C2semidirect
18. #21452043C2semidirect
19. #21452034C2semidirect
20. #21452034C2semidirect
21. #21451706C2semidirect
22. #21451660C2semidirect
23. #21451500C2semidirect
24. #21451446C2semidirect
25. #21451410C2semidirect
26. #21451406C2semidirect
27. #21450790C2semidirect
28. #21450711C2semidirect
29. #21449165C2semidirect
30. #21449140C2semidirect
31. C61×#2319C2semidirect
33. C23×C4×D61C22semidirect
36. C2×#14519772C22semidirect
37. C2×#14519771C22semidirect
38. C2×#14519765C22semidirect
39. C2×#14519765C22semidirect
42. C2×#14519762C22semidirect
43. C2×#14519762C22semidirect
48. C2×#14519757C22semidirect
49. C2×#14519755C22semidirect
50. C2×#14519754C22semidirect
51. C2×#14519754C22semidirect
54. C2×#14519752C22semidirect
64. C2×#14519747C22semidirect
65. C2×#14519747C22semidirect
66. C2×#14519747C22semidirect
67. C2×#14519747C22semidirect
70. C2×C4×D244C22semidirect
72. C2×C4×C22⋊D61C22semidirect
73. C2×C4×C22⋊D61C22semidirect
74. C2×#14519734C22semidirect
75. C22×#11758198C22semidirect
76. #16839702C22semidirect
77. #16839699C22semidirect
78. #16839694C22semidirect
79. #16839692C22semidirect
80. #16839692C22semidirect
81. #16839689C22semidirect
82. #16839687C22semidirect
83. #16839687C22semidirect
84. #16839684C22semidirect
85. #16839684C22semidirect
86. #16839684C22semidirect
87. #16839684C22semidirect
88. #16839684C22semidirect
89. #16839684C22semidirect
90. #16839683C22semidirect
91. #16839680C22semidirect
92. #16839680C22semidirect
93. #16839680C22semidirect
98. #16839679C22semidirect
99. #16839679C22semidirect
100. #16839679C22semidirect
101. #16839679C22semidirect
106. #16839678C22semidirect
107. #16839678C22semidirect
108. #16839678C22semidirect
109. #16839678C22semidirect
110. #16839675C22semidirect
111. #16839675C22semidirect
112. #16839675C22semidirect
117. #16839672C22semidirect
122. #16839671C22semidirect
123. #16839671C22semidirect
124. #16839668C22semidirect
125. #16839667C22semidirect
129. #16839664C22semidirect
130. #16839664C22semidirect
131. #16839664C22semidirect
132. #16839663C22semidirect
133. #16839660C22semidirect
134. #16839654C22semidirect
135. #16839654C22semidirect
136. #16839654C22semidirect
137. #16839654C22semidirect
138. #16839653C22semidirect
139. #16839653C22semidirect
140. #16839653C22semidirect
141. #16839653C22semidirect
142. #16839653C22semidirect
143. #16839653C22semidirect
144. #16839647C22semidirect
145. #16839647C22semidirect
152. #16839640C22semidirect
153. #16839640C22semidirect
154. #16839640C22semidirect
155. #16839640C22semidirect
156. #16839640C22semidirect
157. #16839640C22semidirect
160. #16839639C22semidirect
161. #16839639C22semidirect
162. #16839636C22semidirect
163. #16839636C22semidirect
164. #16839636C22semidirect
165. #16839636C22semidirect
166. #16839636C22semidirect
167. #16839636C22semidirect
168. #16839623C22semidirect
169. #16839623C22semidirect
170. #16839619C22semidirect
171. #16839619C22semidirect
172. #16839617C22semidirect
173. #16839617C22semidirect
177. C61×#389C22semidirect
178. C61×#389C22semidirect
179. C61×#388C22semidirect
180. C61×#388C22semidirect
181. C61×#388C22semidirect
182. C61×#388C22semidirect
183. C61×#381C22semidirect
184. C61×#381C22semidirect
185. C61×#380C22semidirect
186. C61×#380C22semidirect
187. C4×C4⋊C4×C61C22semidirect
188. C61×#376C22semidirect
358. C4×D4×C61D4semidirect
924. #2319D61semidirect
1045. #389C2×D61semidirect
1046. #389C2×D61semidirect
1057. #388C2×D61semidirect
1058. #388C2×D61semidirect
1059. #388C2×D61semidirect
1060. #388C2×D61semidirect
1087. #381C2×D61semidirect
1088. #381C2×D61semidirect
1091. #380C2×D61semidirect
1092. #380C2×D61semidirect
1095. C4×C4⋊C4C2×D61semidirect
1096. #376C2×D61semidirect
1097. C61#36724semidirect
1178. C4×D4D244semidirect

Maximal subgroups

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

subgroupindex
C2×#168403452
C2×#168402712
#214541122
#214541022
#214524902
#214524452
#214524152
#214524042
#214522382
#214521812
#214521692
#214521662
#214521542
#214521422
#214521392
#214520682
#214520432
#214520342
#214517062
#214516602
#214515002
#214514462
#214514102
#214514062
#214507902
#214507112
#214491652
#214491402
C61×#23192
#3672461