Finite Group Databasebeta

← #29887410

Subgroups — #29887410

Order 15616.

2782 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840345C211yesmaximal, characteristic, complemented
2C2×#16840320C211yesmaximal, characteristic, complemented
3#21454162C211yesmaximal, characteristic, complemented
4#21454116C211yesmaximal, characteristic, complemented
5#21452676C211yesmaximal, characteristic, complemented
6#21452670C211yesmaximal, characteristic, complemented
7#21452568C211yesmaximal, characteristic, complemented
8#21452562C211yesmaximal, characteristic, complemented
9#21452513C211yesmaximal, characteristic, complemented
10#21452507C211yesmaximal, characteristic, complemented
11#21452468C211yesmaximal, characteristic, complemented
12#21452462C211yesmaximal, characteristic, complemented
13#21452217C211yesmaximal, characteristic, complemented
14#21452211C211yesmaximal, characteristic, complemented
15#21452149C211yesmaximal, characteristic, complemented
16#21452147C211yesmaximal, characteristic, complemented
17#21452047C211yesmaximal, characteristic, complemented
18#21452042C211yesmaximal, characteristic, complemented
19#21452035C211yesmaximal, characteristic, complemented
20#21452031C211yesmaximal, characteristic, complemented
21#21451923C211yesmaximal, characteristic, complemented
22#21451749C211yesmaximal, characteristic, complemented
23#21450781C211yesmaximal, characteristic, complemented
24#21450775C211yesmaximal, characteristic, complemented
25#21449253C211yesmaximal, characteristic, complemented
26#21449192C211yesmaximal, characteristic, complemented
27#21449192C211yesmaximal, characteristic, complemented
28#21449190C211yesmaximal, characteristic, complemented
29#21449190C211yesmaximal, characteristic, complemented
30C2×#16839652C211yesmaximal, characteristic, complemented
31C61×#2416C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34#16840345—28no—
35#16840320—28no—
36C2×#14519773C2211yescharacteristic, complemented
37C2×#14519772C2211yescharacteristic, complemented
38C2×#14519771C2211yescharacteristic, complemented
39C2×#14519765C2211yescharacteristic, complemented
40C2×#14519763C2211yescharacteristic, complemented
41C2×#14519763C2211yescharacteristic, complemented
42C2×#14519762C2211yescharacteristic
43C2×#14519762C2211yescharacteristic
44C2×#14519762C2211yescharacteristic, complemented
45C2×#14519760C2211yescharacteristic, complemented
46C2×#14519759C2211yescharacteristic
47C2×#14519759C2211yescharacteristic
48C2×#14519754C2211yescharacteristic, complemented
49C2×#14519752C2211yescharacteristic, complemented
50C2×#14519751C2211yescharacteristic
51C2×#14519751C2211yescharacteristic, complemented
52C2×#14519751C2211yescharacteristic, complemented
53C2×#14519751C2211yescharacteristic, complemented
54C2×#14519750C2211yescharacteristic, complemented
55C2×#14519749C2211yescharacteristic
56C2×#14519749C2211yescharacteristic
57C2×#14519749C2211yescharacteristic, complemented
58C2×#14519749C2211yescharacteristic, complemented
59C2×#14519749C2211yescharacteristic, complemented
60C2×#14519749C2211yescharacteristic, complemented
61C2×#14519749C2211yescharacteristic, complemented
62C2×#14519747C2211yescharacteristic
63C2×#14519747C2211yescharacteristic
64C2×#14519747C2211yescharacteristic
65C2×#14519747C2211yescharacteristic, complemented
66C2×#14519747C2211yescharacteristic, complemented
67C2×#14519745C2211yescharacteristic
68C2×#14519745C2211yescharacteristic
69C2×#14519745C2211yescharacteristic
70C2×#14519745C2211yescharacteristic, complemented
71C2×#14519745C2211yescharacteristic, complemented
72C2×C4×C22⋊D61C2211yescharacteristic, complemented
73C22×#11758198C2211yescharacteristic
74C22×#11758198C2211yescharacteristic
75C22×#11758198C2211yescharacteristic
76C22×C4×Dic61C2211yescharacteristic, complemented
77#16839704C2211yescharacteristic, complemented
78#16839703C2211yescharacteristic, complemented
79#16839698C2211yescharacteristic, complemented
80#16839698C2211yescharacteristic, complemented
81#16839697C2211yescharacteristic, complemented
82#16839697C2211yescharacteristic, complemented
83#16839693C2211yescharacteristic, complemented
84#16839692C2211yescharacteristic, complemented
85#16839691C2211yescharacteristic, complemented
86#16839690C2211yescharacteristic, complemented
87#16839688C2211yescharacteristic, complemented
88#16839687C2211yescharacteristic, complemented
89#16839684C2211yescharacteristic, complemented
90#16839684C2211yescharacteristic, complemented
91#16839680C2211yescharacteristic
92#16839680C2211yescharacteristic
93#16839679C2211yescharacteristic
94#16839679C2211yescharacteristic
95#16839679C2211yescharacteristic, complemented
96#16839679C2211yescharacteristic, complemented
97#16839679C2211yescharacteristic, complemented
98#16839678C2211yescharacteristic
99#16839678C2211yescharacteristic
100#16839678C2211yescharacteristic, complemented
101#16839677C2211yescharacteristic
102#16839677C2211yescharacteristic
103#16839677C2211yescharacteristic, complemented
104#16839676C2211yescharacteristic, complemented
105#16839675C2211yescharacteristic, complemented
106#16839674C2211yescharacteristic, complemented
107#16839672C2211yescharacteristic
108#16839672C2211yescharacteristic
109#16839671C2211yescharacteristic
110#16839671C2211yescharacteristic
111#16839671C2211yescharacteristic
112#16839671C2211yescharacteristic
113#16839671C2211yescharacteristic, complemented
114#16839671C2211yescharacteristic, complemented
115#16839671C2211yescharacteristic, complemented
116#16839670C2211yescharacteristic
117#16839670C2211yescharacteristic
118#16839670C2211yescharacteristic, complemented
119#16839670C2211yescharacteristic, complemented
120#16839670C2211yescharacteristic, complemented
121#16839666C2211yescharacteristic, complemented
122#16839665C2211yescharacteristic, complemented
123#16839663C2211yescharacteristic, complemented
124#16839663C2211yescharacteristic, complemented
125#16839662C2211yescharacteristic, complemented
126#16839662C2211yescharacteristic, complemented
127#16839662C2211yescharacteristic, complemented
128#16839662C2211yescharacteristic, complemented
129#16839662C2211yescharacteristic, complemented
130#16839661C2211yescharacteristic, complemented
131#16839655C2211yescharacteristic, complemented
132#16839654C2211yescharacteristic, complemented
133#16839653C2211yescharacteristic, complemented
134#16839653C2211yescharacteristic, complemented
135#16839652C2211yescharacteristic, complemented
136#16839652C2211yescharacteristic, complemented
137#16839652C2211yescharacteristic, complemented
138#16839652C2211yescharacteristic, complemented
139#16839652C2211yescharacteristic, complemented
140#16839652C2211yescharacteristic, complemented
141#16839652C2211yescharacteristic, complemented
142#16839652C2211yescharacteristic, complemented
143#16839651C2211yescharacteristic, complemented
144#16839650C2211yescharacteristic, complemented
145#16839650C2211yescharacteristic, complemented
146#16839650C2211yescharacteristic, complemented
147#16839642C2211yescharacteristic, complemented
148#16839642C2211yescharacteristic, complemented
149#16839641C2211yescharacteristic, complemented
150#16839641C2211yescharacteristic, complemented
151#16839641C2211yescharacteristic, complemented
152#16839641C2211yescharacteristic, complemented
153#16839640C2211yescharacteristic, complemented
154#16839640C2211yescharacteristic, complemented
155#16839639C2211yescharacteristic, complemented
156#16839639C2211yescharacteristic, complemented
157#16839638C2211yescharacteristic, complemented
158#16839638C2211yescharacteristic, complemented
159#16839638C2211yescharacteristic, complemented
160#16839638C2211yescharacteristic, complemented
161#16839636C2211yescharacteristic, complemented
162#16839636C2211yescharacteristic, complemented
163#16839633C2211yescharacteristic, complemented
164#16839633C2211yescharacteristic, complemented
165#16839631C2211yescharacteristic, complemented
166#16839626C2211yescharacteristic, complemented
167#16839619C2211yescharacteristic, complemented
168#16839617C2211yescharacteristic, complemented
169#16839617C2211yescharacteristic, complemented
170#16839617C2211yescharacteristic, complemented
171#16839617C2211yescharacteristic, complemented
172C2×#14519684C2211yescharacteristic, complemented
173C2×#14519684C2211yescharacteristic, complemented
174C2×#121×C61C2211yescharacteristic
175C2×#121×C61C2211yescharacteristic, complemented
176C2×#121×C61C2211yescharacteristic, complemented
177C2×#121×C61C2211yescharacteristic, complemented
178C2×C4×D4×C61C2211yescharacteristic, complemented
179C22×C4⋊C4×C61C2211yescharacteristic, complemented
180C61×#396C2211yescharacteristic, complemented
181C61×#396C2211yescharacteristic, complemented
182C61×#394C2211yescharacteristic, complemented
183C61×#394C2211yescharacteristic, complemented
184C61×#390C2211yescharacteristic, complemented
185C61×#389C2211yescharacteristic, complemented
186C61×#386C2211yescharacteristic, complemented
187C61×#386C2211yescharacteristic, complemented
188C61×#380C2211yescharacteristic, complemented
189C24×D61C2311yescharacteristic
190C24×D61C2311yescharacteristic
191C24×D61C2311yescharacteristic
192C22×Dic122C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×D244C2311yescharacteristic
195C22×D244C2311yescharacteristic
196C22×D244C2311yescharacteristic
197C22×D244C2311yescharacteristic
198C22×D244C2311yescharacteristic
199C22×D244C2311yescharacteristic
200C22×C22⋊D61C2311yescharacteristic
201C22×C22⋊D61C2311yescharacteristic
202C22×C22⋊D61C2311yescharacteristic
203C22×C22⋊D61C2311yescharacteristic
204C22×C22⋊D61C2311yescharacteristic
205C22×C22⋊D61C2311yescharacteristic
206C22×C22⋊D61C2311yescharacteristic
207C22×C22⋊D61C2311yescharacteristic
208C22×C22⋊D61C2311yescharacteristic
209C22×C22⋊D61C2311yescharacteristic
210C22×C22⋊D61C2311yescharacteristic
211C22×C22⋊D61C2311yescharacteristic
212C22×C22⋊D61C2311yescharacteristic
213C22×C22⋊D61C2311yescharacteristic
214C2×D4×D61—24no—
215C2×D4×D61—24no—
216C2×D4×D61—42no—
217C2×D4×D61—42no—
218C2×D4×D61—42no—
219C2×D4×D61—42no—
220C23×Dic61C2311yescharacteristic
221C23×Dic61C2311yescharacteristic
222C23×Dic61C2311yescharacteristic
223C22×C4×D61C2311yescharacteristic
224C22×C4×D61C2311yescharacteristic
225C22×C4×D61C2311yescharacteristic
226#14519773—42no—
227#14519772—24no—
228#14519771—24no—
229#14519765—24no—
230#14519763—24no—
231#14519763—42no—
232#14519762—24no—
233#14519762—24no—
234#14519762—24no—
235#14519760—24no—
236#14519759—24no—
237#14519759—24no—
238#14519754—24no—
239#14519752—42no—
240#14519751—24no—
241#14519751—24no—
242#14519751—42no—
243#14519751—42no—
244#14519750—24no—
245#14519749—24no—
246#14519749—24no—
247#14519749—24no—
248#14519749—42no—
249#14519749—42no—
250#14519749—42no—
251#14519749—42no—
252#14519747—24no—
253#14519747—24no—
254#14519747—24no—
255#14519747—42no—
256#14519747—42no—
257#14519745—24no—
258#14519745—24no—
259#14519745—24no—
260#14519745—42no—
261#14519745—42no—
262C4×C22⋊D61—24no—
263C2×C4⋊Dic61C2311yescharacteristic
264C2×C4⋊Dic61C2311yescharacteristic
265C2×C4⋊Dic61C2311yescharacteristic
266C2×C4⋊Dic61C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×#11758196C2311yescharacteristic
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×C22⋊Dic61C2311yescharacteristic
288C2×C22⋊Dic61C2311yescharacteristic
289C2×#11758198—42no—
290C2×#11758198—42no—
291C2×#11758198D418yescomplemented
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×C4×Dic61—42no—
331C2×C4×Dic61C2311yescharacteristic
332C2×C4×Dic61C2311yescharacteristic
333C2×C4×Dic61C2311yescharacteristic
334C2×C4×Dic61C2311yescharacteristic
335C2×C4×Dic61C2311yescharacteristic
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
352#14519684C2311yescharacteristic
353#14519684C2311yescharacteristic
354#14519684C2311yescharacteristic
355#14519684C2311yescharacteristic
356C22×D4×C61C2311yescharacteristic
357C22×D4×C61C2311yescharacteristic
358C22×D4×C61C2311yescharacteristic
359C22×D4×C61C2311yescharacteristic
360C22×D4×C61C2311yescharacteristic
361C22×D4×C61C2311yescharacteristic
362C23×C4×C61C2311yescharacteristic
363C23×C4×C61C2311yescharacteristic
364C23×C4×C61C2311yescharacteristic
365C23×C4×C61C2311yescharacteristic
366#121×C61—24no—
367#121×C61—42no—
368#121×C61—42no—
369#121×C61—42no—
370C4×D4×C61—24no—
371C2×C4⋊C4×C61—42no—
372C2×C4⋊C4×C61C2311yescharacteristic
373C2×C4⋊C4×C61C2311yescharacteristic
374C2×C4⋊C4×C61C2311yescharacteristic
375C2×C4⋊C4×C61C2311yescharacteristic
376C2×C4⋊C4×C61C2311yescharacteristic
377C2×C4⋊C4×C61C2311yescharacteristic
378C2×C4⋊C4×C61C2311yescharacteristic
379C2×C4⋊C4×C61C2311yescharacteristic
380C2×C22⋊C4×C61C2311yescharacteristic
381C2×C22⋊C4×C61C2311yescharacteristic
382C2×C22⋊C4×C61C2311yescharacteristic
383C2×C22⋊C4×C61C2311yescharacteristic
384C2×C22⋊C4×C61C2311yescharacteristic
385C2×C22⋊C4×C61C2311yescharacteristic
386C2×C22⋊C4×C61C2311yescharacteristic
387C2×C22⋊C4×C61C2311yescharacteristic
388C2×C22⋊C4×C61C2311yescharacteristic
389C2×C22⋊C4×C61C2311yescharacteristic
390C2×C22⋊C4×C61C2311yescharacteristic
391C2×C22⋊C4×C61C2311yescharacteristic
392C2×C42×C61C2311yescharacteristic
393#95×C61C2311yescharacteristic
394#95×C61C2311yescharacteristic
395#95×C61C2311yescharacteristic
396#95×C61C2311yescharacteristic
397C24×C61C2411yescharacteristic
398C24×C61C2411yescharacteristic
399C24×C61C2411yescharacteristic
400C24×C61C2411yescharacteristic
401C23×D61—22no—
402C23×D61—22no—
403C23×D61—22no—
404C23×D61—22no—
405C23×D61—41no—
406C23×D61—41no—
407C23×D61—41no—
408C23×D61—41no—
409C23×D61—41no—
410C23×D61—41no—
411C23×D61—41no—
412C23×D61—41no—
413C23×D61—41no—
414C23×D61—41no—
415C23×D61—41no—
416C23×D61—41no—
417C23×D61—41no—
418C23×D61—41no—
419C23×D61—41no—
420C23×D61—41no—
421C23×D61C2×D414yes—
422C23×D61C2411yescharacteristic
423C23×D61C2411yescharacteristic
424C23×D61C2411yescharacteristic
425C23×D61C2411yescharacteristic
426C23×D61C2411yescharacteristic
427C2×D4×C61—22no—
428C2×D4×C61—22no—
429C2×D4×C61—22no—
430C2×D4×C61—22no—
431C2×D4×C61—22no—
432C2×D4×C61—22no—
433C2×D4×C61—22no—
434C2×D4×C61—22no—
435C2×D4×C61—22no—
436C2×D4×C61—22no—
437C2×D4×C61—22no—
438C2×D4×C61—41no—
439C2×D4×C61—41no—
440C2×D4×C61—41no—
441C2×D4×C61—41no—
442C2×D4×C61—41no—
443C2×D4×C61—41no—
444C2×D4×C61—41no—
445C22×C4×C61—22no—
446C22×C4×C61—22no—
447C22×C4×C61—22no—
448C22×C4×C61—22no—
449C22×C4×C61—41no—
450C22×C4×C61—41no—
451C22×C4×C61—41no—
452C22×C4×C61—41no—
453C22×C4×C61—41no—
454C22×C4×C61—41no—
455C22×C4×C61—41no—
456C22×C4×C61C2×D414yes—
457C22×C4×C61C2411yescharacteristic
458C22×C4×C61C2411yescharacteristic
459C22×C4×C61C2411yescharacteristic
460C22×C4×C61C2411yescharacteristic
461C22×C4×C61C2411yescharacteristic
462C22×C4×C61C2411yescharacteristic
463C22×C4×C61C2411yescharacteristic
464C22×C4×C61C2411yescharacteristic
465C22×C4×C61C2411yescharacteristic
466C22×C4×C61C2411yescharacteristic
467C22×C4×C61C2411yescharacteristic
468C2×C22⋊D61—22no—
469C2×C22⋊D61—22no—
470C2×C22⋊D61—22no—
471C2×C22⋊D61—22no—
472C2×C22⋊D61—22no—
473C2×C22⋊D61—22no—
474C2×C22⋊D61—22no—
475C2×C22⋊D61—22no—
476C2×C22⋊D61—22no—
477C2×C22⋊D61—22no—
478C2×C22⋊D61—22no—
479C2×C22⋊D61—22no—
480C2×C22⋊D61—22no—
481C2×C22⋊D61—22no—
482C2×C22⋊D61—22no—
483C2×C22⋊D61—22no—
484C2×C22⋊D61—22no—
485C2×C22⋊D61—22no—
486C2×C22⋊D61—41no—
487C2×C22⋊D61—41no—
488C2×C22⋊D61—41no—
489C2×C22⋊D61—41no—
490C2×C22⋊D61—41no—
491C2×C22⋊D61—41no—
492C2×C22⋊D61—41no—
493C2×C22⋊D61—41no—
494C2×C22⋊D61—41no—
495C2×C22⋊D61—41no—
496C2×C22⋊D61—41no—
497C2×C22⋊D61—41no—
498C2×C22⋊D61—41no—
499C2×C22⋊D61—41no—
500C2×C22⋊D61—41no—
501C2×C22⋊D61—41no—
502C2×C22⋊D61—41no—
503C2×C22⋊D61—41no—
504C2×C22⋊D61—41no—
505C2×C22⋊D61—41no—
506C2×C22⋊D61—41no—
507C2×C22⋊D61—41no—
508C2×C22⋊D61—41no—
509C2×C22⋊D61—41no—
510C22×Dic61—22no—
511C22×Dic61—22no—
512C22×Dic61—22no—
513C22×Dic61—41no—
514C22×Dic61—41no—
515C22×Dic61—41no—
516C22×Dic61—41no—
517C22×Dic61—41no—
518C22×Dic61C2×D414yes—
519C22×Dic61C2411yescharacteristic
520C22×Dic61C2411yescharacteristic
521C22×Dic61C2411yescharacteristic
522C22×Dic61C2411yescharacteristic
523C22×Dic61C2411yescharacteristic
524C22×Dic61C2411yescharacteristic
525C22×Dic61C2411yescharacteristic
526C22×Dic61C2411yescharacteristic
527C22×Dic61C2411yescharacteristic
528C22×Dic61C2411yescharacteristic
529C22×Dic61C2411yescharacteristic
530D4×D61—416no—
531D4×D61—416no—
532C2×D244—22no—
533C2×D244—22no—
534C2×D244—22no—
535C2×D244—22no—
536C2×D244—22no—
537C2×D244—22no—
538C2×D244—41no—
539C2×D244—41no—
540C2×D244—41no—
541C2×D244—41no—
542C2×D244—41no—
543C2×D244—41no—
544C2×D244—41no—
545C2×D244—41no—
546C2×D244—41no—
547C2×D244—41no—
548C2×D244—41no—
549C2×D244—41no—
550C2×D244—41no—
551C2×D244—41no—
552C2×D244—41no—
553C2×C4×D61—22no—
554C2×C4×D61—22no—
555C2×C4×D61—22no—
556C2×C4×D61—41no—
557C2×C4×D61—41no—
558C2×C4×D61—41no—
559C2×C4×D61—41no—
560C2×C4×D61—41no—
561C2×C4×D61—41no—
562C2×Dic122—22no—
563C2×Dic122—41no—
564C2×Dic122—41no—
565C4⋊C4×C61—22no—
566C4⋊C4×C61—22no—
567C4⋊C4×C61—22no—
568C4⋊C4×C61—22no—
569C4⋊C4×C61—41no—
570C4⋊C4×C61—41no—
571C4⋊C4×C61—41no—
572C4⋊C4×C61—41no—
573C22⋊C4×C61—22no—
574C22⋊C4×C61—22no—
575C22⋊C4×C61—22no—
576C22⋊C4×C61—22no—
577C22⋊C4×C61—22no—
578C22⋊C4×C61—41no—
579C22⋊C4×C61—41no—
580C22⋊C4×C61—41no—
581C22⋊C4×C61—41no—
582C22⋊C4×C61—41no—
583C22⋊C4×C61—41no—
584C22⋊C4×C61—41no—
585C42×C61—22no—
586C22⋊Dic61—22no—
587C22⋊Dic61—22no—
588C22⋊Dic61—22no—
589C22⋊Dic61—22no—
590C22⋊Dic61—22no—
591C22⋊Dic61—41no—
592C22⋊Dic61—41no—
593C22⋊Dic61—41no—
594C22⋊Dic61—41no—
595C22⋊Dic61—41no—
596C22⋊Dic61—41no—
597C22⋊Dic61—41no—
598#11758198—22no—
599#11758198—22no—
600#11758198—22no—
601#11758198—22no—
602#11758198—22no—
603#11758198—22no—
604#11758198—22no—
605#11758198—22no—
606#11758198—22no—
607#11758198—22no—
608#11758198—22no—
609#11758198—22no—
610#11758198—22no—
611#11758198—22no—
612#11758198—22no—
613#11758198—22no—
614#11758198—41no—
615#11758198—41no—
616#11758198—41no—
617#11758198—41no—
618#11758198—41no—
619#11758198—41no—
620#11758198—41no—
621#11758198—41no—
622#11758198—41no—
623#11758198—41no—
624#11758198—41no—
625#11758198—41no—
626#11758198—41no—
627#11758198—41no—
628#11758198—41no—
629#11758198—41no—
630#11758198—41no—
631#11758198—41no—
632#11758198C2×D414yes—
633#11758198C2×D414yes—
634#11758198C2×D414yes—
635#11758198C2×D414yes—
636C4⋊Dic61—22no—
637C4⋊Dic61—22no—
638C4⋊Dic61—41no—
639C4⋊Dic61—41no—
640#11758196—22no—
641#11758196—22no—
642#11758196—22no—
643#11758196—22no—
644#11758196—22no—
645#11758196—22no—
646#11758196—41no—
647#11758196—41no—
648#11758196—41no—
649#11758196—41no—
650C4×Dic61—22no—
651C4×Dic61—22no—
652C4×Dic61—22no—
653C4×Dic61—41no—
654C4×Dic61—41no—
655C23×C61—21no—
656C23×C61—21no—
657C23×C61—21no—
658C23×C61—21no—
659C23×C61—21no—
660C23×C61—21no—
661C23×C61—21no—
662C23×C61—21no—
663C23×C61—21no—
664C23×C61—21no—
665C23×C61—21no—
666C23×C61—21no—
667C23×C61—21no—
668C23×C61—21no—
669C23×C61—21no—
670C23×C61—21no—
671C23×C61—21no—
672C23×C61—21no—
673C23×C61—21no—
674C23×C61—21no—
675C23×C61—21no—
676C23×C61—21no—
677C23×C61—21no—
678C23×C61—21no—
679C23×C61—21no—
680C23×C61C22×D412yes—
681C23×C61H(5,𝔽2)12yes—
682C23×C61H(5,𝔽2)12yes—
683C23×C61C2511yescharacteristic
684C22×D61—21no—
685C22×D61—21no—
686C22×D61—21no—
687C22×D61—21no—
688C22×D61—21no—
689C22×D61—21no—
690C22×D61—21no—
691C22×D61—21no—
692C22×D61—21no—
693C22×D61—21no—
694C22×D61—21no—
695C22×D61—21no—
696C22×D61—28no—
697C22×D61—21no—
698C22×D61—21no—
699C22×D61—21no—
700C22×D61—21no—
701C22×D61—21no—
702C22×D61—21no—
703C22×D61—21no—
704C22×D61—21no—
705C22×D61—21no—
706C22×D61—21no—
707C22×D61—21no—
708C22×D61—21no—
709C22×D61—21no—
710C22×D61—21no—
711C22×D61—21no—
712C22×D61—21no—
713C22×D61—21no—
714C22×D61—21no—
715C22×D61—21no—
716C22×D61—21no—
717C22×D61—21no—
718C22×D61—44no—
719C22×D61—44no—
720C22×D61—44no—
721C22×D61—44no—
722C22×D61—82no—
723C22×D61—82no—
724C22×D61—82no—
725C22×D61—82no—
726C22×D61—82no—
727C22×D61—82no—
728C22×D61—82no—
729C22×D61—82no—
730C22×D61—82no—
731C22×D61—82no—
732C22×D61—82no—
733C22×D61—82no—
734C22×D61—82no—
735C22×D61—82no—
736C22×D61—82no—
737C22×D61—82no—
738C22×D61C22×D412yes—
739C22×D61C22×D412yes—
740D4×C61—44no—
741D4×C61—44no—
742D4×C61—44no—
743D4×C61—82no—
744D4×C61—82no—
745D4×C61—82no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—21no—
753C2×C4×C61—21no—
754C2×C4×C61—21no—
755C2×C4×C61—21no—
756C2×C4×C61—21no—
757C2×C4×C61—21no—
758C2×C4×C61—21no—
759C2×C4×C61—21no—
760C2×C4×C61—21no—
761C2×C4×C61—21no—
762C2×C4×C61—21no—
763C2×C4×C61—21no—
764C2×C4×C61—21no—
765C2×C4×C61—21no—
766C2×C4×C61—21no—
767C2×C4×C61—21no—
768C2×C4×C61—21no—
769C2×C4×C61—21no—
770C2×C4×C61—21no—
771C2×C4×C61—21no—
772C2×C4×C61—21no—
773C2×C4×C61—21no—
774C2×C4×C61—21no—
775C2×C4×C61—21no—
776C2×C4×C61—44no—
777C2×C4×C61—44no—
778C2×C4×C61—82no—
779C2×C4×C61—82no—
780C2×C4×C61C22×D412yes—
781C2×C4×C61C22×D412yes—
782C2×C4×C61H(5,𝔽2)12yes—
783C22⋊D61—44no—
784C22⋊D61—44no—
785C22⋊D61—44no—
786C22⋊D61—44no—
787C22⋊D61—44no—
788C22⋊D61—82no—
789C22⋊D61—82no—
790C22⋊D61—82no—
791C22⋊D61—82no—
792C22⋊D61—82no—
793C22⋊D61—82no—
794C22⋊D61—82no—
795C22⋊D61—82no—
796C22⋊D61—82no—
797C2×Dic61—21no—
798C2×Dic61—21no—
799C2×Dic61—21no—
800C2×Dic61—21no—
801C2×Dic61—21no—
802C2×Dic61—21no—
803C2×Dic61—21no—
804C2×Dic61—21no—
805C2×Dic61—21no—
806C2×Dic61—21no—
807C2×Dic61—21no—
808C2×Dic61—21no—
809C2×Dic61—21no—
810C2×Dic61—21no—
811C2×Dic61—21no—
812C2×Dic61—21no—
813C2×Dic61—21no—
814C2×Dic61—21no—
815C2×Dic61—21no—
816C2×Dic61—21no—
817C2×Dic61—21no—
818C2×Dic61—21no—
819C2×Dic61—21no—
820C2×Dic61—21no—
821C2×Dic61—21no—
822C2×Dic61—21no—
823C2×Dic61—21no—
824C2×Dic61—21no—
825C2×Dic61—21no—
826C2×Dic61—21no—
827C2×Dic61—44no—
828C2×Dic61—44no—
829C2×Dic61—82no—
830C2×Dic61C22×D412yes—
831C2×Dic61C22×D412yes—
832C2×Dic61H(5,𝔽2)12yes—
833D244—44no—
834D244—44no—
835D244—82no—
836D244—82no—
837D244—82no—
838D244—82no—
839D244—82no—
840C4×D61—44no—
841C4×D61—44no—
842C4×D61—82no—
843Dic122—82no—
844#36739—611nomaximal, Sylow
845C22×C61—22no—
846C22×C61—22no—
847C22×C61—22no—
848C22×C61—22no—
849C22×C61—22no—
850C22×C61—22no—
851C22×C61—41no—
852C22×C61—41no—
853C22×C61—41no—
854C22×C61—41no—
855C22×C61—41no—
856C22×C61—41no—
857C22×C61—41no—
858C22×C61—41no—
859C22×C61—41no—
860C22×C61—41no—
861C22×C61—41no—
862C22×C61—41no—
863C22×C61—41no—
864C22×C61—41no—
865C22×C61—41no—
866C22×C61—41no—
867C22×C61—41no—
868C22×C61—41no—
869C22×C61—41no—
870C22×C61—41no—
871C22×C61—41no—
872C22×C61#53514yes—
873C22×C61C23×D411yescharacteristic
874C22×C61C2×H(5,𝔽2)11yescharacteristic
875C22×C61C2×H(5,𝔽2)11yescharacteristic
876C22×C61C2×H(5,𝔽2)11yescharacteristic
877C22×C61C2×H(5,𝔽2)11yescharacteristic
878C22×C61#58511yescharacteristic
879C22×C61#58511yescharacteristic
880C2×D61—22no—
881C2×D61—22no—
882C2×D61—22no—
883C2×D61—22no—
884C2×D61—22no—
885C2×D61—22no—
886C2×D61—41no—
887C2×D61—41no—
888C2×D61—41no—
889C2×D61—41no—
890C2×D61—41no—
891C2×D61—41no—
892C2×D61—41no—
893C2×D61—41no—
894C2×D61—41no—
895C2×D61—41no—
896C2×D61—41no—
897C2×D61—41no—
898C2×D61—41no—
899C2×D61—41no—
900C2×D61—41no—
901C2×D61—41no—
902C2×D61—41no—
903C2×D61—41no—
904C2×D61—41no—
905C2×D61—41no—
906C2×D61—41no—
907C2×D61—41no—
908C2×D61—41no—
909C2×D61—41no—
910C2×D61—41no—
911C2×D61—41no—
912C2×D61—41no—
913C2×D61—41no—
914C2×D61—41no—
915C2×D61—88no—
916C2×D61—88no—
917C2×D61—88no—
918C4×C61—22no—
919C4×C61—22no—
920C4×C61—22no—
921C4×C61—41no—
922C4×C61—41no—
923C4×C61—41no—
924C4×C61—41no—
925C4×C61—41no—
926C4×C61—41no—
927C4×C61—41no—
928C4×C61—41no—
929Dic61—22no—
930Dic61—22no—
931Dic61—22no—
932Dic61—41no—
933Dic61—41no—
934Dic61—41no—
935Dic61—41no—
936Dic61—41no—
937Dic61—41no—
938Dic61—41no—
939Dic61—41no—
940C2×#538—611no—
941C2×#534—611no—
942#2856—611no—
943#2850—611no—
944#2718—611no—
945#2718—611no—
946#2710—611no—
947#2710—611no—
948#2706—611no—
949#2706—611no—
950#2703—611no—
951#2703—611no—
952#2685—611no—
953#2685—611no—
954#2678—611no—
955#2678—611no—
956#2670—611no—
957#2670—611no—
958#2669—611no—
959#2669—611no—
960#2656—611no—
961#2639—611no—
962#2543—611no—
963#2543—611no—
964#2416—611no—
965#2416D6111yescharacteristic, complemented
966#2410—611no—
967#2410—611no—
968#2410—611no—
969#2410—611no—
970C2×#388—611no—
971C2×C61—24no—
972C2×C61—81no—
973C2×C61—81no—
974C2×C61—81no—
975C2×C61C2×#53511yescharacteristic
976C2×C61#349611yescharacteristic
977C2×C61#349611yescharacteristic
978C2×C61#353411yescharacteristic
979C2×C61#353711yescharacteristic
980C2×C61#355811yescharacteristic
981C2×C61#356011yescharacteristic
982D61—42no—
983D61—42no—
984D61—81no—
985D61—81no—
986D61—81no—
987C23×D4—611no—
988C23×D4—611no—
989#538—1228no—
990#534—1228no—
991C2×#127—611no—
992C2×#126—611no—
993C2×#126—611no—
994C2×#124—611no—
995C2×#124—611no—
996C2×#124—611no—
997C2×#123—611no—
998C2×#123—611no—
999C2×#123—611no—
1000C2×#123—611no—
1001C2×#123—611no—
1002C2×#123—611no—
1003C2×C22⋊Q8—611no—
1004C2×#121—611no—
1005C2×#121—611no—
1006C2×#121—611no—
1007C2×#121—611no—
1008C2×#121—611no—
1009C2×#121—611no—
1010C2×#121—611no—
1011C2×#121—611no—
1012C2×#121—611no—
1013C2×#121—611no—
1014C2×#121—611no—
1015C2×#121—611no—
1016C2×#121—611no—
1017C2×#121C2×D6111yescharacteristic
1018C2×#121C2×D6111yescharacteristic, complemented
1019C2×#121C2×D6111yescharacteristic, complemented
1020C2×#121C2×D6111yescharacteristic, complemented
1021C2×#120—611no—
1022C2×#120—611no—
1023C2×#120—611no—
1024C2×#120—611no—
1025C2×#120—611no—
1026C2×#120—611no—
1027C2×#120—611no—
1028C2×#120—611no—
1029C2×#120—611no—
1030C2×#120—611no—
1031C2×C4×D4—611no—
1032C2×C4×D4C2×D6111yescharacteristic, complemented
1033C22×C4⋊C4C2×D6111yescharacteristic, complemented
1034C22×C22⋊C4—611no—
1035C22×C22⋊C4—611no—
1036C22×C22⋊C4—611no—
1037C22×C42—611no—
1038#400—611no—
1039#400—611no—
1040#399—611no—
1041#399—611no—
1042#399—611no—
1043#399—611no—
1044#398—611no—
1045#398—611no—
1046#397—611no—
1047#397—611no—
1048#397—611no—
1049#397—611no—
1050#396—611no—
1051#396—611no—
1052#396C2×D6111yescharacteristic, complemented
1053#396C2×D6111yescharacteristic, complemented
1054#394—611no—
1055#394—611no—
1056#394—611no—
1057#394—611no—
1058#394—611no—
1059#394—611no—
1060#394—611no—
1061#394—611no—
1062#394—611no—
1063#394—611no—
1064#394—611no—
1065#394—611no—
1066#394—611no—
1067#394—611no—
1068#394C2×D6111yescharacteristic, complemented
1069#394C2×D6111yescharacteristic, complemented
1070#393—611no—
1071#393—611no—
1072#392—611no—
1073#392—611no—
1074#392—611no—
1075#392—611no—
1076#392—611no—
1077#392—611no—
1078#392—611no—
1079#392—611no—
1080#392—611no—
1081#392—611no—
1082#392—611no—
1083#392—611no—
1084#392—611no—
1085#392—611no—
1086#391—611no—
1087#390—611no—
1088#390—611no—
1089#390—611no—
1090#390—611no—
1091#390—611no—
1092#390—611no—
1093#390—611no—
1094#390—611no—
1095#390C2×D6111yescharacteristic, complemented
1096#389—611no—
1097#389C2×D6111yescharacteristic, complemented
1098#388—611no—
1099#388—611no—
1100#388—611no—
1101#388—611no—
1102#388—611no—
1103#388—611no—
1104#388—611no—
1105#388—611no—
1106#388—611no—
1107#388—611no—
1108#388—611no—
1109#388—611no—
1110#388—611no—
1111#388—611no—
1112#388—611no—
1113#388—611no—
1114#386—611no—
1115#386—611no—
1116#386—611no—
1117#386—611no—
1118#386—611no—
1119#386—611no—
1120#386—611no—
1121#386—611no—
1122#386—611no—
1123#386—611no—
1124#386—611no—
1125#386—611no—
1126#386—611no—
1127#386—611no—
1128#386C2×D6111yescharacteristic, complemented
1129#386C2×D6111yescharacteristic, complemented
1130#385—611no—
1131#385—611no—
1132#385—611no—
1133#385—611no—
1134#384—611no—
1135#382—611no—
1136#380—611no—
1137#380C2×D6111yescharacteristic, complemented
1138#379—611no—
1139#379—611no—
1140#379—611no—
1141#379—611no—
1142C2×#95—611no—
1143C2×#95—611no—
1144C61#3673911yescharacteristic, complemented, Sylow
1145C25—611no—
1146C25—611no—
1147C25—611no—
1148C22×Q8—611no—
1149C22×D4—611no—
1150C22×D4—611no—
1151C22×D4—611no—
1152C22×D4—611no—
1153C22×D4—611no—
1154C22×D4—611no—
1155C22×D4—611no—
1156C22×D4—611no—
1157C22×D4—611no—
1158C22×D4—611no—
1159C22×D4—611no—
1160C22×D4—611no—
1161C22×D4—611no—
1162C22×D4—611no—
1163C22×D4—611no—
1164C22×D4—611no—
1165C22×D4—611no—
1166C22×D4—611no—
1167C22×D4—611no—
1168C22×D4—611no—
1169C22×D4—611no—
1170C22×D4—1224no—
1171C22×D4—1224no—
1172C22×D4—2442no—
1173C22×D4—2442no—
1174C22×D4—2442no—
1175C22×D4—2442no—
1176C22×D4C22×D6111yescharacteristic
1177C22×D4C22×D6111yescharacteristic
1178C22×D4C22×D6111yescharacteristic
1179C22×D4C22×D6111yescharacteristic
1180C22×D4C22×D6111yescharacteristic
1181C22×D4C22×D6111yescharacteristic
1182C23×C4—611no—
1183C23×C4—611no—
1184C23×C4—611no—
1185C23×C4—611no—
1186C23×C4—611no—
1187C23×C4—611no—
1188C23×C4C22×D6111yescharacteristic
1189C23×C4C22×D6111yescharacteristic
1190C23×C4C22×D6111yescharacteristic
1191C23×C4C22×D6111yescharacteristic
1192#127—2442no—
1193#126—1224no—
1194#126—1224no—
1195#124—1224no—
1196#124—1224no—
1197#124—2442no—
1198#123—1224no—
1199#123—1224no—
1200#123—1224no—
1201#123—1224no—
1202#123—1224no—
1203#123—1224no—
1204C22⋊Q8—1224no—
1205#121—24no—
1206#121—42no—
1207#121—42no—
1208#121—42no—
1209#121—1224no—
1210#121—1224no—
1211#121—1224no—
1212#121—1224no—
1213#121—1224no—
1214#121—1224no—
1215#121—2442no—
1216#121—2442no—
1217#121—2442no—
1218#121—2442no—
1219#121—2442no—
1220#121—2442no—
1221#121—2442no—
1222#120—1224no—
1223#120—1224no—
1224#120—1224no—
1225#120—1224no—
1226#120—1224no—
1227#120—1224no—
1228#120—2442no—
1229#120—2442no—
1230#120—2442no—
1231#120—2442no—
1232C4×D4—24no—
1233C4×D4—1224no—
1234C2×C4⋊C4—42no—
1235C2×C4⋊C4—611no—
1236C2×C4⋊C4—611no—
1237C2×C4⋊C4—611no—
1238C2×C4⋊C4—611no—
1239C2×C4⋊C4—611no—
1240C2×C4⋊C4—611no—
1241C2×C4⋊C4—611no—
1242C2×C4⋊C4—611no—
1243C2×C4⋊C4—611no—
1244C2×C4⋊C4—611no—
1245C2×C4⋊C4—611no—
1246C2×C4⋊C4—611no—
1247C2×C4⋊C4—611no—
1248C2×C4⋊C4—611no—
1249C2×C4⋊C4C22×D6111yescharacteristic
1250C2×C4⋊C4C22×D6111yescharacteristic
1251C2×C4⋊C4C22×D6111yescharacteristic
1252C2×C4⋊C4C22×D6111yescharacteristic
1253C2×C4⋊C4C22×D6111yescharacteristic
1254C2×C4⋊C4C22×D6111yescharacteristic
1255C2×C4⋊C4C22×D6111yescharacteristic
1256C2×C4⋊C4C22×D6111yescharacteristic
1257C2×C22⋊C4—618no—
1258C2×C22⋊C4—611no—
1259C2×C22⋊C4—611no—
1260C2×C22⋊C4—611no—
1261C2×C22⋊C4—611no—
1262C2×C22⋊C4—611no—
1263C2×C22⋊C4—611no—
1264C2×C22⋊C4—611no—
1265C2×C22⋊C4—611no—
1266C2×C22⋊C4—611no—
1267C2×C22⋊C4—611no—
1268C2×C22⋊C4—611no—
1269C2×C22⋊C4—611no—
1270C2×C22⋊C4—611no—
1271C2×C22⋊C4—611no—
1272C2×C22⋊C4—611no—
1273C2×C22⋊C4—611no—
1274C2×C22⋊C4—611no—
1275C2×C22⋊C4—611no—
1276C2×C22⋊C4—611no—
1277C2×C22⋊C4—611no—
1278C2×C22⋊C4—611no—
1279C2×C22⋊C4—611no—
1280C2×C22⋊C4—611no—
1281C2×C22⋊C4—611no—
1282C2×C22⋊C4—611no—
1283C2×C22⋊C4—611no—
1284C2×C22⋊C4—611no—
1285C2×C22⋊C4—611no—
1286C2×C22⋊C4—611no—
1287C2×C22⋊C4—611no—
1288C2×C22⋊C4—611no—
1289C2×C22⋊C4—611no—
1290C2×C22⋊C4—611no—
1291C2×C22⋊C4—611no—
1292C2×C22⋊C4—611no—
1293C2×C22⋊C4—611no—
1294C2×C22⋊C4—611no—
1295C2×C22⋊C4—611no—
1296C2×C22⋊C4—611no—
1297C2×C22⋊C4—611no—
1298C2×C22⋊C4—611no—
1299C2×C22⋊C4—611no—
1300C2×C22⋊C4—611no—
1301C2×C22⋊C4—611no—
1302C2×C22⋊C4—611no—
1303C2×C22⋊C4—611no—
1304C2×C22⋊C4—611no—
1305C2×C22⋊C4—611no—
1306C2×C22⋊C4—611no—
1307C2×C22⋊C4—611no—
1308C2×C22⋊C4—2442no—
1309C2×C22⋊C4—2442no—
1310C2×C22⋊C4C22×D6111yescharacteristic
1311C2×C22⋊C4C22×D6111yescharacteristic
1312C2×C22⋊C4C22×D6111yescharacteristic
1313C2×C22⋊C4C22×D6111yescharacteristic
1314C2×C22⋊C4C22×D6111yescharacteristic
1315C2×C22⋊C4C22×D6111yescharacteristic
1316C2×C22⋊C4C22×D6111yescharacteristic
1317C2×C22⋊C4C22×D6111yescharacteristic
1318C2×C22⋊C4C22×D6111yescharacteristic
1319C2×C22⋊C4C22×D6111yescharacteristic
1320C2×C22⋊C4C22×D6111yescharacteristic
1321C2×C22⋊C4C22×D6111yescharacteristic
1322C2×C42—611no—
1323C2×C42—611no—
1324C2×C42—611no—
1325C2×C42—611no—
1326C2×C42—611no—
1327C2×C42—2442no—
1328C2×C42C22×D6111yescharacteristic
1329#95—611no—
1330#95—611no—
1331#95—611no—
1332#95—611no—
1333#95—611no—
1334#95—611no—
1335#95—611no—
1336#95—611no—
1337#95—611no—
1338#95—611no—
1339#95—611no—
1340#95—611no—
1341#95—611no—
1342#95—611no—
1343#95—611no—
1344#95—611no—
1345#95—611no—
1346#95—611no—
1347#95—611no—
1348#95—611no—
1349#95C22×D6111yescharacteristic
1350#95C22×D6111yescharacteristic
1351#95C22×D6111yescharacteristic
1352#95C22×D6111yescharacteristic
1353C24—611no—
1354C24—611no—
1355C24—614no—
1356C24—611no—
1357C24—611no—
1358C24—611no—
1359C24—1222no—
1360C24—1222no—
1361C24—1222no—
1362C24—1222no—
1363C24—2441no—
1364C24—2441no—
1365C24—2441no—
1366C24—2441no—
1367C24—2441no—
1368C24—2441no—
1369C24—2441no—
1370C24—2441no—
1371C24—2441no—
1372C24—2441no—
1373C24—2441no—
1374C24—2441no—
1375C24—2441no—
1376C24—2441no—
1377C24—2441no—
1378C24—2441no—
1379C24C23×D6111yescharacteristic
1380C24C23×D6111yescharacteristic
1381C24C23×D6111yescharacteristic
1382C24C23×D6111yescharacteristic
1383C2×Q8—1222no—
1384C2×Q8—2441no—
1385C2×Q8—2441no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—1222no—
1405C2×D4—1222no—
1406C2×D4—1222no—
1407C2×D4—1222no—
1408C2×D4—1222no—
1409C2×D4—1222no—
1410C2×D4—1222no—
1411C2×D4—1222no—
1412C2×D4—1222no—
1413C2×D4—1222no—
1414C2×D4—1222no—
1415C2×D4—1222no—
1416C2×D4—1222no—
1417C2×D4—1222no—
1418C2×D4—1222no—
1419C2×D4—1222no—
1420C2×D4—1222no—
1421C2×D4—1222no—
1422C2×D4—1222no—
1423C2×D4—1222no—
1424C2×D4—1222no—
1425C2×D4—1222no—
1426C2×D4—1222no—
1427C2×D4—1222no—
1428C2×D4—2441no—
1429C2×D4—2441no—
1430C2×D4—2441no—
1431C2×D4—2441no—
1432C2×D4—2441no—
1433C2×D4—2441no—
1434C2×D4—2441no—
1435C2×D4—2441no—
1436C2×D4—2441no—
1437C2×D4—2441no—
1438C2×D4—2441no—
1439C2×D4—2441no—
1440C2×D4—2441no—
1441C2×D4—2441no—
1442C2×D4—2441no—
1443C2×D4—2441no—
1444C2×D4—2441no—
1445C2×D4—2441no—
1446C2×D4—2441no—
1447C2×D4—2441no—
1448C2×D4—2441no—
1449C2×D4—2441no—
1450C2×D4—2441no—
1451C2×D4—2441no—
1452C2×D4—2441no—
1453C2×D4—2441no—
1454C2×D4—2441no—
1455C2×D4—2441no—
1456C2×D4—2441no—
1457C2×D4—2441no—
1458C2×D4—2441no—
1459C2×D4—2441no—
1460C2×D4—2441no—
1461C2×D4—2441no—
1462C2×D4—2441no—
1463C2×D4—2441no—
1464C2×D4—2441no—
1465C2×D4—2441no—
1466C2×D4—2441no—
1467C2×D4—24416no—
1468C2×D4—24416no—
1469C22×C4—22no—
1470C22×C4—22no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—41no—
1474C22×C4—41no—
1475C22×C4—41no—
1476C22×C4—41no—
1477C22×C4—41no—
1478C22×C4—41no—
1479C22×C4—41no—
1480C22×C4—611no—
1481C22×C4—611no—
1482C22×C4—611no—
1483C22×C4—614no—
1484C22×C4—611no—
1485C22×C4—611no—
1486C22×C4—611no—
1487C22×C4—611no—
1488C22×C4—611no—
1489C22×C4—611no—
1490C22×C4—611no—
1491C22×C4—611no—
1492C22×C4—1222no—
1493C22×C4—1222no—
1494C22×C4—1222no—
1495C22×C4—1222no—
1496C22×C4—1222no—
1497C22×C4—1222no—
1498C22×C4—2441no—
1499C22×C4—2441no—
1500C22×C4—2441no—
1501C22×C4—2441no—
1502C22×C4—2441no—
1503C22×C4—2441no—
1504C22×C4—2441no—
1505C22×C4—2441no—
1506C22×C4—2441no—
1507C22×C4—2441no—
1508C22×C4—2441no—
1509C22×C4D4×D6114yes—
1510C22×C4C23×D6111yescharacteristic
1511C22×C4C23×D6111yescharacteristic
1512C22×C4C23×D6111yescharacteristic
1513C22×C4C23×D6111yescharacteristic
1514C22×C4C23×D6111yescharacteristic
1515C22×C4C23×D6111yescharacteristic
1516C22×C4C23×D6111yescharacteristic
1517C22×C4C23×D6111yescharacteristic
1518C22×C4C23×D6111yescharacteristic
1519C22×C4C23×D6111yescharacteristic
1520C22×C4C23×D6111yescharacteristic
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—22no—
1524C4⋊C4—22no—
1525C4⋊C4—41no—
1526C4⋊C4—41no—
1527C4⋊C4—41no—
1528C4⋊C4—41no—
1529C4⋊C4—1222no—
1530C4⋊C4—1222no—
1531C4⋊C4—1222no—
1532C4⋊C4—1222no—
1533C4⋊C4—1222no—
1534C4⋊C4—1222no—
1535C4⋊C4—1222no—
1536C4⋊C4—1222no—
1537C4⋊C4—2441no—
1538C4⋊C4—2441no—
1539C4⋊C4—2441no—
1540C4⋊C4—2441no—
1541C4⋊C4—2441no—
1542C4⋊C4—2441no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—22no—
1548C22⋊C4—41no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—614no—
1556C22⋊C4—614no—
1557C22⋊C4—614no—
1558C22⋊C4—614no—
1559C22⋊C4—1222no—
1560C22⋊C4—1222no—
1561C22⋊C4—1222no—
1562C22⋊C4—1222no—
1563C22⋊C4—1222no—
1564C22⋊C4—1222no—
1565C22⋊C4—1222no—
1566C22⋊C4—1222no—
1567C22⋊C4—1222no—
1568C22⋊C4—1222no—
1569C22⋊C4—1222no—
1570C22⋊C4—1222no—
1571C22⋊C4—1222no—
1572C22⋊C4—1222no—
1573C22⋊C4—1222no—
1574C22⋊C4—1222no—
1575C22⋊C4—1222no—
1576C22⋊C4—1222no—
1577C22⋊C4—1222no—
1578C22⋊C4—1222no—
1579C22⋊C4—1222no—
1580C22⋊C4—2441no—
1581C22⋊C4—2441no—
1582C22⋊C4—2441no—
1583C22⋊C4—2441no—
1584C22⋊C4—2441no—
1585C22⋊C4—2441no—
1586C22⋊C4—2441no—
1587C22⋊C4—2441no—
1588C22⋊C4—2441no—
1589C22⋊C4—2441no—
1590C22⋊C4—2441no—
1591C22⋊C4—2441no—
1592C22⋊C4—2441no—
1593C22⋊C4—2441no—
1594C22⋊C4—2441no—
1595C22⋊C4—2441no—
1596C22⋊C4—2441no—
1597C22⋊C4—2441no—
1598C22⋊C4—2441no—
1599C22⋊C4—2441no—
1600C22⋊C4—2441no—
1601C22⋊C4—2441no—
1602C22⋊C4—2441no—
1603C22⋊C4—2441no—
1604C22⋊C4—2441no—
1605C42—22no—
1606C42—1222no—
1607C42—1222no—
1608C42—1222no—
1609C42—2441no—
1610C42—2441no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—612no—
1637C23—612no—
1638C23—1228no—
1639C23—1221no—
1640C23—1221no—
1641C23—1221no—
1642C23—1221no—
1643C23—1221no—
1644C23—1221no—
1645C23—1221no—
1646C23—1221no—
1647C23—1221no—
1648C23—1221no—
1649C23—1221no—
1650C23—1221no—
1651C23—1221no—
1652C23—1221no—
1653C23—1221no—
1654C23—1221no—
1655C23—1221no—
1656C23—1221no—
1657C23—1221no—
1658C23—1221no—
1659C23—1221no—
1660C23—1221no—
1661C23—1221no—
1662C23—1221no—
1663C23—1221no—
1664C23—1221no—
1665C23—1221no—
1666C23—1221no—
1667C23—1221no—
1668C23—1221no—
1669C23—1221no—
1670C23—1221no—
1671C23—1221no—
1672C23—4882no—
1673C23—4882no—
1674C23—4882no—
1675C23—4882no—
1676C23—4882no—
1677C23—4882no—
1678C23—4882no—
1679C23—4882no—
1680C23—4882no—
1681C23—4882no—
1682C23—4882no—
1683C23—4882no—
1684C23—4882no—
1685C23—4882no—
1686C23—4882no—
1687C23—4882no—
1688C23—2444no—
1689C23—2444no—
1690C23—2444no—
1691C23—2444no—
1692C23C2×D4×D6112yes—
1693C23#1451982212yes—
1694C23#1451982312yes—
1695C23C24×D6111yescharacteristic
1696Q8—4882no—
1697D4—44no—
1698D4—44no—
1699D4—44no—
1700D4—82no—
1701D4—82no—
1702D4—82no—
1703D4—4882no—
1704D4—4882no—
1705D4—4882no—
1706D4—4882no—
1707D4—4882no—
1708D4—4882no—
1709D4—4882no—
1710D4—4882no—
1711D4—4882no—
1712D4—4882no—
1713D4—4882no—
1714D4—4882no—
1715D4—4882no—
1716D4—4882no—
1717D4—2444no—
1718D4—2444no—
1719D4—2444no—
1720D4—2444no—
1721D4—2444no—
1722D4—2444no—
1723D4—2444no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—44no—
1755C2×C4—44no—
1756C2×C4—82no—
1757C2×C4—82no—
1758C2×C4—612no—
1759C2×C4—612no—
1760C2×C4—612no—
1761C2×C4—1221no—
1762C2×C4—1221no—
1763C2×C4—1221no—
1764C2×C4—1221no—
1765C2×C4—1221no—
1766C2×C4—1221no—
1767C2×C4—1221no—
1768C2×C4—1221no—
1769C2×C4—1221no—
1770C2×C4—1221no—
1771C2×C4—1221no—
1772C2×C4—1221no—
1773C2×C4—1221no—
1774C2×C4—1221no—
1775C2×C4—1221no—
1776C2×C4—1221no—
1777C2×C4—1221no—
1778C2×C4—1221no—
1779C2×C4—1221no—
1780C2×C4—1221no—
1781C2×C4—1221no—
1782C2×C4—1221no—
1783C2×C4—1221no—
1784C2×C4—1221no—
1785C2×C4—1221no—
1786C2×C4—1221no—
1787C2×C4—1221no—
1788C2×C4—1221no—
1789C2×C4—1221no—
1790C2×C4—1221no—
1791C2×C4—4882no—
1792C2×C4—4882no—
1793C2×C4—2444no—
1794C2×C4—2444no—
1795C2×C4—2444no—
1796C2×C4—2444no—
1797C2×C4C2×D4×D6112yes—
1798C2×C4C2×D4×D6112yes—
1799C2×C4#1451982212yes—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—1222no—
1828C22—1222no—
1829C22—1222no—
1830C22—1222no—
1831C22—1222no—
1832C22—1222no—
1833C22—4888no—
1834C22—4888no—
1835C22—4888no—
1836C22—2441no—
1837C22—2441no—
1838C22—2441no—
1839C22—2441no—
1840C22—2441no—
1841C22—2441no—
1842C22—2441no—
1843C22—2441no—
1844C22—2441no—
1845C22—2441no—
1846C22—2441no—
1847C22—2441no—
1848C22—2441no—
1849C22—2441no—
1850C22—2441no—
1851C22—2441no—
1852C22—2441no—
1853C22—2441no—
1854C22—2441no—
1855C22—2441no—
1856C22—2441no—
1857C22—2441no—
1858C22—2441no—
1859C22—2441no—
1860C22—2441no—
1861C22—2441no—
1862C22—2441no—
1863C22—2441no—
1864C22—2441no—
1865C22#1684032814yes—
1866C22C22×D4×D6111yescharacteristic
1867C22H(5,𝔽2)×D6111yescharacteristic
1868C22C2×#1451982211yescharacteristic
1869C22C2×#1451982211yescharacteristic
1870C22C2×#1451982311yescharacteristic
1871C22#1684059811yescharacteristic
1872C22#1684059911yescharacteristic
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—1222no—
1885C4—1222no—
1886C4—1222no—
1887C4—2441no—
1888C4—2441no—
1889C4—2441no—
1890C4—2441no—
1891C4—2441no—
1892C4—2441no—
1893C4—2441no—
1894C4—2441no—
1895C2—24no—
1896C2—81no—
1897C2—81no—
1898C2—81no—
1899C2—4881no—
1900C2—4881no—
1901C2—4881no—
1902C2—2442no—
1903C2—2442no—
1904C2C2×#1684032811yescharacteristic
1905C2#2145957611yescharacteristic
1906C2#2145958211yescharacteristic
1907C2#2145999611yescharacteristic
1908C2#2146004911yescharacteristic
1909C2#2146033611yescharacteristic
1910C2#2146036711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2416C2
hypercenter#2416D61
hypocenterC61#36739
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2416

Complements

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

NH ≅ G/Ntype
1. C2×#16840345C2semidirect
2. C2×#16840320C2semidirect
3. #21454162C2semidirect
4. #21454116C2semidirect
5. #21452676C2semidirect
6. #21452670C2semidirect
7. #21452568C2semidirect
8. #21452562C2semidirect
9. #21452513C2semidirect
10. #21452507C2semidirect
11. #21452468C2semidirect
12. #21452462C2semidirect
13. #21452217C2semidirect
14. #21452211C2semidirect
15. #21452149C2semidirect
16. #21452147C2semidirect
17. #21452047C2semidirect
18. #21452042C2semidirect
19. #21452035C2semidirect
20. #21452031C2semidirect
21. #21451923C2semidirect
22. #21451749C2semidirect
23. #21450781C2semidirect
24. #21450775C2semidirect
25. #21449253C2semidirect
26. #21449192C2semidirect
27. #21449192C2semidirect
28. #21449190C2semidirect
29. #21449190C2semidirect
30. C2×#16839652C2semidirect
31. C61×#2416C2semidirect
36. C2×#14519773C22semidirect
37. C2×#14519772C22semidirect
38. C2×#14519771C22semidirect
39. C2×#14519765C22semidirect
40. C2×#14519763C22semidirect
41. C2×#14519763C22semidirect
44. C2×#14519762C22semidirect
45. C2×#14519760C22semidirect
48. C2×#14519754C22semidirect
49. C2×#14519752C22semidirect
51. C2×#14519751C22semidirect
52. C2×#14519751C22semidirect
53. C2×#14519751C22semidirect
54. C2×#14519750C22semidirect
57. C2×#14519749C22semidirect
58. C2×#14519749C22semidirect
59. C2×#14519749C22semidirect
60. C2×#14519749C22semidirect
61. C2×#14519749C22semidirect
65. C2×#14519747C22semidirect
66. C2×#14519747C22semidirect
70. C2×#14519745C22semidirect
71. C2×#14519745C22semidirect
72. C2×C4×C22⋊D61C22semidirect
76. C22×C4×Dic61C22semidirect
77. #16839704C22semidirect
78. #16839703C22semidirect
79. #16839698C22semidirect
80. #16839698C22semidirect
81. #16839697C22semidirect
82. #16839697C22semidirect
83. #16839693C22semidirect
84. #16839692C22semidirect
85. #16839691C22semidirect
86. #16839690C22semidirect
87. #16839688C22semidirect
88. #16839687C22semidirect
89. #16839684C22semidirect
90. #16839684C22semidirect
95. #16839679C22semidirect
96. #16839679C22semidirect
97. #16839679C22semidirect
100. #16839678C22semidirect
103. #16839677C22semidirect
104. #16839676C22semidirect
105. #16839675C22semidirect
106. #16839674C22semidirect
113. #16839671C22semidirect
114. #16839671C22semidirect
115. #16839671C22semidirect
118. #16839670C22semidirect
119. #16839670C22semidirect
120. #16839670C22semidirect
121. #16839666C22semidirect
122. #16839665C22semidirect
123. #16839663C22semidirect
124. #16839663C22semidirect
125. #16839662C22semidirect
126. #16839662C22semidirect
127. #16839662C22semidirect
128. #16839662C22semidirect
129. #16839662C22semidirect
130. #16839661C22semidirect
131. #16839655C22semidirect
132. #16839654C22semidirect
133. #16839653C22semidirect
134. #16839653C22semidirect
135. #16839652C22semidirect
136. #16839652C22semidirect
137. #16839652C22semidirect
138. #16839652C22semidirect
139. #16839652C22semidirect
140. #16839652C22semidirect
141. #16839652C22semidirect
142. #16839652C22semidirect
143. #16839651C22semidirect
144. #16839650C22semidirect
145. #16839650C22semidirect
146. #16839650C22semidirect
147. #16839642C22semidirect
148. #16839642C22semidirect
149. #16839641C22semidirect
150. #16839641C22semidirect
151. #16839641C22semidirect
152. #16839641C22semidirect
153. #16839640C22semidirect
154. #16839640C22semidirect
155. #16839639C22semidirect
156. #16839639C22semidirect
157. #16839638C22semidirect
158. #16839638C22semidirect
159. #16839638C22semidirect
160. #16839638C22semidirect
161. #16839636C22semidirect
162. #16839636C22semidirect
163. #16839633C22semidirect
164. #16839633C22semidirect
165. #16839631C22semidirect
166. #16839626C22semidirect
167. #16839619C22semidirect
168. #16839617C22semidirect
169. #16839617C22semidirect
170. #16839617C22semidirect
171. #16839617C22semidirect
172. C2×#14519684C22semidirect
173. C2×#14519684C22semidirect
175. C2×#121×C61C22semidirect
176. C2×#121×C61C22semidirect
177. C2×#121×C61C22semidirect
178. C2×C4×D4×C61C22semidirect
179. C22×C4⋊C4×C61C22semidirect
180. C61×#396C22semidirect
181. C61×#396C22semidirect
182. C61×#394C22semidirect
183. C61×#394C22semidirect
184. C61×#390C22semidirect
185. C61×#389C22semidirect
186. C61×#386C22semidirect
187. C61×#386C22semidirect
188. C61×#380C22semidirect
291. C2×#11758198D4semidirect
965. #2416D61semidirect
1018. C2×#121C2×D61semidirect
1019. C2×#121C2×D61semidirect
1020. C2×#121C2×D61semidirect
1032. C2×C4×D4C2×D61semidirect
1033. C22×C4⋊C4C2×D61semidirect
1052. #396C2×D61semidirect
1053. #396C2×D61semidirect
1068. #394C2×D61semidirect
1069. #394C2×D61semidirect
1095. #390C2×D61semidirect
1097. #389C2×D61semidirect
1128. #386C2×D61semidirect
1129. #386C2×D61semidirect
1137. #380C2×D61semidirect
1144. C61#36739semidirect

Maximal subgroups

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

subgroupindex
C2×#168403452
C2×#168403202
#214541622
#214541162
#214526762
#214526702
#214525682
#214525622
#214525132
#214525072
#214524682
#214524622
#214522172
#214522112
#214521492
#214521472
#214520472
#214520422
#214520352
#214520312
#214519232
#214517492
#214507812
#214507752
#214492532
#214491922
#214491902
C2×#168396522
C61×#24162
#3673961