Finite Group Databasebeta

← #29852960

Subgroups — #29852960

Order 15616.

2756 conjugacy classes of subgroups.

The subgroup lattice has 1844 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840349C211yesmaximal, characteristic, complemented
2C2×#16840347C211yesmaximal, characteristic, complemented
3#21454185C211yesmaximal, characteristic, complemented
4#21454173C211yesmaximal, characteristic, complemented
5#21454162C211yesmaximal, characteristic, complemented
6#21454147C211yesmaximal, characteristic, complemented
7#21451957C211yesmaximal, characteristic, complemented
8#21451955C211yesmaximal, characteristic, complemented
9#21451946C211yesmaximal, characteristic, complemented
10#21451944C211yesmaximal, characteristic, complemented
11#21450892C211yesmaximal, characteristic, complemented
12#21450891C211yesmaximal, characteristic, complemented
13#21450878C211yesmaximal, characteristic, complemented
14#21450876C211yesmaximal, characteristic, complemented
15#21450398C211yesmaximal, characteristic, complemented
16#21450175C211yesmaximal, characteristic, complemented
17#21449947C211yesmaximal, characteristic, complemented
18#21449939C211yesmaximal, characteristic, complemented
19#21449577C211yesmaximal, characteristic, complemented
20#21449520C211yesmaximal, characteristic, complemented
21#21449454C211yesmaximal, characteristic, complemented
22#21449400C211yesmaximal, characteristic, complemented
23#21449349C211yesmaximal, characteristic, complemented
24#21449256C211yesmaximal, characteristic, complemented
25#21449172C211yesmaximal, characteristic, complemented
26#21448480C211yesmaximal, characteristic, complemented
27#21448476C211yesmaximal, characteristic, complemented
28#21448329C211yesmaximal, characteristic, complemented
29C2×#16839662C211yesmaximal, characteristic, complemented
30C4×D4×Dic61C211yesmaximal, characteristic, complemented
31C61×#2424C211yesmaximal, characteristic, complemented
32C23×C22⋊D61C2211yescharacteristic
33#16840349—28no—
34#16840347—28no—
35C2×#14519776C2211yescharacteristic, complemented
36C2×#14519773C2211yescharacteristic
37C2×#14519773C2211yescharacteristic
38C2×#14519772C2211yescharacteristic, complemented
39C2×#14519772C2211yescharacteristic, complemented
40C2×#14519770C2211yescharacteristic, complemented
41C2×#14519770C2211yescharacteristic, complemented
42C2×#14519764C2211yescharacteristic, complemented
43C2×#14519763C2211yescharacteristic, complemented
44C2×#14519763C2211yescharacteristic, complemented
45C2×#14519763C2211yescharacteristic, complemented
46C2×#14519763C2211yescharacteristic, complemented
47C2×#14519763C2211yescharacteristic, complemented
48C2×#14519761C2211yescharacteristic, complemented
49C2×#14519761C2211yescharacteristic, complemented
50C2×#14519759C2211yescharacteristic, complemented
51C2×#14519758C2211yescharacteristic, complemented
52C2×#14519756C2211yescharacteristic
53C2×#14519754C2211yescharacteristic
54C2×#14519751C2211yescharacteristic, complemented
55C2×#14519749C2211yescharacteristic
56C2×#14519749C2211yescharacteristic
57C2×#14519749C2211yescharacteristic
58C2×#14519749C2211yescharacteristic
59C2×#14519749C2211yescharacteristic, complemented
60C2×#14519749C2211yescharacteristic, complemented
61C2×#14519749C2211yescharacteristic, complemented
62C2×#14519749C2211yescharacteristic, complemented
63C2×#14519748C2211yescharacteristic, complemented
64C2×#14519747C2211yescharacteristic
65C2×#14519746C2211yescharacteristic
66C2×#14519745C2211yescharacteristic
67C2×#14519745C2211yescharacteristic
68C2×D4×Dic61C2211yescharacteristic
69C2×D4×Dic61C2211yescharacteristic
70C2×D4×Dic61C2211yescharacteristic
71C2×#14519737C2211yescharacteristic
72C2×#14519737C2211yescharacteristic, complemented
73C22×#11758196C2211yescharacteristic
74C22×C22⋊Dic61C2211yescharacteristic
75C22×#11758198C2211yescharacteristic
76C22×#11758198C2211yescharacteristic
77C22×C4×Dic61C2211yescharacteristic
78C22×C4×Dic61C2211yescharacteristic, complemented
79#16839696C2211yescharacteristic, complemented
80#16839695C2211yescharacteristic, complemented
81#16839691C2211yescharacteristic, complemented
82#16839690C2211yescharacteristic, complemented
83#16839685C2211yescharacteristic, complemented
84#16839684C2211yescharacteristic, complemented
85#16839684C2211yescharacteristic, complemented
86#16839683C2211yescharacteristic, complemented
87#16839682C2211yescharacteristic, complemented
88#16839679C2211yescharacteristic, complemented
89#16839678C2211yescharacteristic
90#16839678C2211yescharacteristic
91#16839678C2211yescharacteristic, complemented
92#16839678C2211yescharacteristic, complemented
93#16839678C2211yescharacteristic, complemented
94#16839677C2211yescharacteristic, complemented
95#16839677C2211yescharacteristic, complemented
96#16839677C2211yescharacteristic, complemented
97#16839676C2211yescharacteristic, complemented
98#16839675C2211yescharacteristic, complemented
99#16839674C2211yescharacteristic, complemented
100#16839671C2211yescharacteristic
101#16839671C2211yescharacteristic
102#16839671C2211yescharacteristic, complemented
103#16839670C2211yescharacteristic
104#16839670C2211yescharacteristic
105#16839670C2211yescharacteristic
106#16839670C2211yescharacteristic
107#16839665C2211yescharacteristic, complemented
108#16839665C2211yescharacteristic, complemented
109#16839664C2211yescharacteristic, complemented
110#16839663C2211yescharacteristic, complemented
111#16839663C2211yescharacteristic, complemented
112#16839662C2211yescharacteristic
113#16839662C2211yescharacteristic
114#16839662C2211yescharacteristic
115#16839662C2211yescharacteristic
116#16839662C2211yescharacteristic
117#16839662C2211yescharacteristic
118#16839662C2211yescharacteristic
119#16839662C2211yescharacteristic
120#16839662C2211yescharacteristic
121#16839662C2211yescharacteristic
122#16839662C2211yescharacteristic
123#16839662C2211yescharacteristic
124#16839662C2211yescharacteristic, complemented
125#16839662C2211yescharacteristic, complemented
126#16839662C2211yescharacteristic, complemented
127#16839662C2211yescharacteristic, complemented
128#16839659C2211yescharacteristic, complemented
129#16839659C2211yescharacteristic, complemented
130#16839659C2211yescharacteristic, complemented
131#16839657C2211yescharacteristic, complemented
132#16839655C2211yescharacteristic, complemented
133#16839655C2211yescharacteristic, complemented
134#16839655C2211yescharacteristic, complemented
135#16839655C2211yescharacteristic, complemented
136#16839655C2211yescharacteristic, complemented
137#16839654C2211yescharacteristic, complemented
138#16839654C2211yescharacteristic, complemented
139#16839653C2211yescharacteristic, complemented
140#16839652C2211yescharacteristic, complemented
141#16839652C2211yescharacteristic, complemented
142#16839651C2211yescharacteristic, complemented
143#16839651C2211yescharacteristic, complemented
144#16839651C2211yescharacteristic, complemented
145#16839650C2211yescharacteristic, complemented
146#16839650C2211yescharacteristic, complemented
147#16839642C2211yescharacteristic
148#16839642C2211yescharacteristic, complemented
149#16839642C2211yescharacteristic, complemented
150#16839641C2211yescharacteristic
151#16839641C2211yescharacteristic
152#16839641C2211yescharacteristic, complemented
153#16839640C2211yescharacteristic, complemented
154#16839640C2211yescharacteristic, complemented
155#16839637C2211yescharacteristic
156#16839631C2211yescharacteristic, complemented
157#16839620C2211yescharacteristic
158#16839620C2211yescharacteristic, complemented
159#16839618C2211yescharacteristic
160#16839617C2211yescharacteristic
161C4⋊C4×Dic61C2211yescharacteristic, complemented
162C4⋊C4×Dic61C2211yescharacteristic, complemented
163C4×C4⋊Dic61C2211yescharacteristic, complemented
164#16839613C2211yescharacteristic, complemented
165C22⋊C4×Dic61C2211yescharacteristic
166C22⋊C4×Dic61C2211yescharacteristic
167C22⋊C4×Dic61C2211yescharacteristic, complemented
168C22⋊C4×Dic61C2211yescharacteristic, complemented
169C22⋊C4×Dic61C2211yescharacteristic, complemented
170C4×C22⋊Dic61C2211yescharacteristic
171C4×C22⋊Dic61C2211yescharacteristic, complemented
172#16839609C2211yescharacteristic, complemented
173C42×Dic61C2211yescharacteristic, complemented
174C2×#121×C61C2211yescharacteristic
175C2×#121×C61C2211yescharacteristic, complemented
176C2×#120×C61C2211yescharacteristic
177C2×#120×C61C2211yescharacteristic
178C2×C4×D4×C61C2211yescharacteristic
179C22×C22⋊C4×C61C2211yescharacteristic
180C61×#396C2211yescharacteristic, complemented
181C61×#394C2211yescharacteristic, complemented
182C61×#394C2211yescharacteristic, complemented
183C61×#392C2211yescharacteristic, complemented
184C61×#390C2211yescharacteristic, complemented
185C61×#388C2211yescharacteristic, complemented
186C61×#386C2211yescharacteristic
187C61×#386C2211yescharacteristic, complemented
188C61×#385C2211yescharacteristic
189C24×D61C2311yescharacteristic
190C22×Dic122C2311yescharacteristic
191C22×Dic122C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×C22⋊D61—24no—
195C22×C22⋊D61—42no—
196C22×C22⋊D61—42no—
197C22×C22⋊D61C2311yescharacteristic
198C22×C22⋊D61C2311yescharacteristic
199C22×C22⋊D61C2311yescharacteristic
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
210C23×Dic61C2311yescharacteristic
211C23×Dic61C2311yescharacteristic
212C23×Dic61C2311yescharacteristic
213C23×Dic61C2311yescharacteristic
214C23×Dic61C2311yescharacteristic
215C23×Dic61C2311yescharacteristic
216C22×C4×D61C2311yescharacteristic
217#14519776—42no—
218#14519773—42no—
219#14519773—42no—
220#14519772—24no—
221#14519772—24no—
222#14519770—24no—
223#14519770—24no—
224#14519764—24no—
225#14519763—24no—
226#14519763—24no—
227#14519763—24no—
228#14519763—42no—
229#14519763—42no—
230#14519761—24no—
231#14519761—24no—
232#14519759—24no—
233#14519758—24no—
234#14519756—24no—
235#14519754—24no—
236#14519751—42no—
237#14519749—24no—
238#14519749—24no—
239#14519749—24no—
240#14519749—24no—
241#14519749—24no—
242#14519749—42no—
243#14519749—42no—
244#14519749—42no—
245#14519748—24no—
246#14519747—24no—
247#14519746—24no—
248#14519745—24no—
249#14519745—24no—
250D4×Dic61—24no—
251D4×Dic61—24no—
252D4×Dic61D418yescomplemented
253#14519737—24no—
254#14519737—42no—
255C2×C4⋊Dic61C2311yescharacteristic
256C2×C4⋊Dic61C2311yescharacteristic
257C2×C4⋊Dic61C2311yescharacteristic
258C2×C4⋊Dic61C2311yescharacteristic
259C2×C4⋊Dic61C2311yescharacteristic
260C2×C4⋊Dic61C2311yescharacteristic
261C2×C4⋊Dic61C2311yescharacteristic
262C2×#11758196—42no—
263C2×#11758196C2311yescharacteristic
264C2×#11758196C2311yescharacteristic
265C2×#11758196C2311yescharacteristic
266C2×#11758196C2311yescharacteristic
267C2×#11758196C2311yescharacteristic
268C2×#11758196C2311yescharacteristic
269C2×#11758196C2311yescharacteristic
270C2×#11758196C2311yescharacteristic
271C2×#11758196C2311yescharacteristic
272C2×#11758196C2311yescharacteristic
273C2×#11758196C2311yescharacteristic
274C2×#11758196C2311yescharacteristic
275C2×#11758196C2311yescharacteristic
276C2×C22⋊Dic61—24no—
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×C22⋊Dic61C2311yescharacteristic
290C2×C22⋊Dic61C2311yescharacteristic
291C2×C22⋊Dic61C2311yescharacteristic
292C2×C22⋊Dic61C2311yescharacteristic
293C2×C22⋊Dic61C2311yescharacteristic
294C2×C22⋊Dic61C2311yescharacteristic
295C2×C22⋊Dic61C2311yescharacteristic
296C2×C22⋊Dic61C2311yescharacteristic
297C2×#11758198—24no—
298C2×#11758198—42no—
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×C4×Dic61—42no—
325C2×C4×Dic61—42no—
326C2×C4×Dic61C2311yescharacteristic
327C2×C4×Dic61C2311yescharacteristic
328C2×C4×Dic61C2311yescharacteristic
329C2×C4×Dic61C2311yescharacteristic
330C2×C4×Dic61C2311yescharacteristic
331C2×C4×Dic61C2311yescharacteristic
332C2×C4×Dic61C2311yescharacteristic
333C2×C4×Dic61C2311yescharacteristic
334C2×C4×Dic61C2311yescharacteristic
335C2×C4×Dic61C2311yescharacteristic
336C2×C4×Dic61C2311yescharacteristic
337C2×C4×Dic61C2311yescharacteristic
338C2×C4×Dic61C2311yescharacteristic
339C2×C4×Dic61C2311yescharacteristic
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
356C25×C61C2311yescharacteristic
357C22×D4×C61C2311yescharacteristic
358C22×D4×C61C2311yescharacteristic
359C22×D4×C61C2311yescharacteristic
360C22×D4×C61C2311yescharacteristic
361C22×D4×C61C2311yescharacteristic
362C22×D4×C61C2311yescharacteristic
363C22×D4×C61C2311yescharacteristic
364C23×C4×C61C2311yescharacteristic
365C23×C4×C61C2311yescharacteristic
366C23×C4×C61C2311yescharacteristic
367#121×C61—24no—
368#121×C61—42no—
369#120×C61—24no—
370#120×C61—24no—
371C4×D4×C61—24no—
372C2×C4⋊C4×C61C2311yescharacteristic
373C2×C4⋊C4×C61C2311yescharacteristic
374C2×C4⋊C4×C61C2311yescharacteristic
375C2×C4⋊C4×C61C2311yescharacteristic
376C2×C22⋊C4×C61—42no—
377C2×C22⋊C4×C61C2311yescharacteristic
378C2×C22⋊C4×C61C2311yescharacteristic
379C2×C22⋊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×C61—22no—
398C24×C61—22no—
399C24×C61—22no—
400C24×C61—41no—
401C24×C61—41no—
402C24×C61—41no—
403C24×C61—41no—
404C24×C61C2411yescharacteristic
405C24×C61C2411yescharacteristic
406C24×C61C2411yescharacteristic
407C24×C61C2411yescharacteristic
408C24×C61C2411yescharacteristic
409C23×D61—22no—
410C23×D61—22no—
411C23×D61—22no—
412C23×D61—41no—
413C23×D61—41no—
414C23×D61—41no—
415C23×D61—41no—
416C23×D61C2411yescharacteristic
417C23×D61C2411yescharacteristic
418C23×D61C2411yescharacteristic
419C2×D4×C61—22no—
420C2×D4×C61—22no—
421C2×D4×C61—22no—
422C2×D4×C61—22no—
423C2×D4×C61—22no—
424C2×D4×C61—22no—
425C2×D4×C61—22no—
426C2×D4×C61—22no—
427C2×D4×C61—22no—
428C2×D4×C61—22no—
429C2×D4×C61—41no—
430C2×D4×C61—41no—
431C2×D4×C61—41no—
432C2×D4×C61—41no—
433C2×D4×C61—41no—
434C2×D4×C61—41no—
435C2×D4×C61—41no—
436C2×D4×C61—41no—
437C2×D4×C61—41no—
438C2×D4×C61—41no—
439C2×D4×C61C2×D414yes—
440C22×C4×C61—22no—
441C22×C4×C61—22no—
442C22×C4×C61—22no—
443C22×C4×C61—22no—
444C22×C4×C61—22no—
445C22×C4×C61—41no—
446C22×C4×C61—41no—
447C22×C4×C61—41no—
448C22×C4×C61—41no—
449C22×C4×C61C2411yescharacteristic
450C22×C4×C61C2411yescharacteristic
451C22×C4×C61C2411yescharacteristic
452C22×C4×C61C2411yescharacteristic
453C22×C4×C61C2411yescharacteristic
454C22×C4×C61C2411yescharacteristic
455C22×C4×C61C2411yescharacteristic
456C22×C4×C61C2411yescharacteristic
457C22×C4×C61C2411yescharacteristic
458C22×C4×C61C2411yescharacteristic
459C2×C22⋊D61—22no—
460C2×C22⋊D61—22no—
461C2×C22⋊D61—22no—
462C2×C22⋊D61—22no—
463C2×C22⋊D61—22no—
464C2×C22⋊D61—22no—
465C2×C22⋊D61—22no—
466C2×C22⋊D61—22no—
467C2×C22⋊D61—22no—
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—41no—
481C2×C22⋊D61—41no—
482C2×C22⋊D61—41no—
483C2×C22⋊D61—41no—
484C2×C22⋊D61—416no—
485C2×C22⋊D61—41no—
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—
499C22×Dic61—22no—
500C22×Dic61—22no—
501C22×Dic61—22no—
502C22×Dic61—22no—
503C22×Dic61—22no—
504C22×Dic61—22no—
505C22×Dic61—22no—
506C22×Dic61—41no—
507C22×Dic61—41no—
508C22×Dic61—41no—
509C22×Dic61—41no—
510C22×Dic61—41no—
511C22×Dic61—41no—
512C22×Dic61—41no—
513C22×Dic61—41no—
514C22×Dic61C2×D414yes—
515C22×Dic61C2×D414yescomplemented
516C22×Dic61#4114yes—
517C22×Dic61C2411yescharacteristic
518C22×Dic61C2411yescharacteristic
519C22×Dic61C2411yescharacteristic
520C22×Dic61C2411yescharacteristic
521C22×Dic61C2411yescharacteristic
522C22×Dic61C2411yescharacteristic
523C22×Dic61C2411yescharacteristic
524C22×Dic61C2411yescharacteristic
525C22×Dic61C2411yescharacteristic
526C22×Dic61C2411yescharacteristic
527C22×Dic61C2411yescharacteristic
528C22×Dic61C2411yescharacteristic
529C22×Dic61C2411yescharacteristic
530C2×D244—22no—
531C2×D244—22no—
532C2×D244—41no—
533C2×D244—41no—
534C2×D244—41no—
535C2×D244—41no—
536C2×C4×D61—22no—
537C2×C4×D61—41no—
538C2×C4×D61—41no—
539C2×Dic122—22no—
540C2×Dic122—22no—
541C2×Dic122—41no—
542C2×Dic122—41no—
543C2×Dic122—41no—
544C2×Dic122—41no—
545C4⋊C4×C61—22no—
546C4⋊C4×C61—22no—
547C4⋊C4×C61—41no—
548C4⋊C4×C61—41no—
549C22⋊C4×C61—22no—
550C22⋊C4×C61—22no—
551C22⋊C4×C61—22no—
552C22⋊C4×C61—22no—
553C22⋊C4×C61—22no—
554C22⋊C4×C61—22no—
555C22⋊C4×C61—22no—
556C22⋊C4×C61—22no—
557C22⋊C4×C61—22no—
558C22⋊C4×C61—22no—
559C22⋊C4×C61—22no—
560C22⋊C4×C61—41no—
561C22⋊C4×C61—41no—
562C22⋊C4×C61—41no—
563C22⋊C4×C61#4114yes—
564C42×C61—22no—
565C22⋊Dic61—22no—
566C22⋊Dic61—22no—
567C22⋊Dic61—22no—
568C22⋊Dic61—22no—
569C22⋊Dic61—22no—
570C22⋊Dic61—22no—
571C22⋊Dic61—22no—
572C22⋊Dic61—22no—
573C22⋊Dic61—22no—
574C22⋊Dic61—22no—
575C22⋊Dic61—22no—
576C22⋊Dic61—22no—
577C22⋊Dic61—41no—
578C22⋊Dic61—41no—
579C22⋊Dic61—41no—
580C22⋊Dic61—41no—
581C22⋊Dic61—41no—
582C22⋊Dic61—41no—
583C22⋊Dic61C2×D414yes—
584C22⋊Dic61C2×D414yescomplemented
585#11758198—22no—
586#11758198—22no—
587#11758198—22no—
588#11758198—22no—
589#11758198—22no—
590#11758198—22no—
591#11758198—22no—
592#11758198—22no—
593#11758198—22no—
594#11758198—22no—
595#11758198—22no—
596#11758198—22no—
597#11758198—22no—
598#11758198—22no—
599#11758198—22no—
600#11758198—22no—
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—
610C4⋊Dic61—22no—
611C4⋊Dic61—22no—
612C4⋊Dic61—22no—
613C4⋊Dic61—22no—
614C4⋊Dic61—41no—
615C4⋊Dic61—41no—
616C4⋊Dic61C2×D414yescomplemented
617#11758196—22no—
618#11758196—22no—
619#11758196—22no—
620#11758196—22no—
621#11758196—22no—
622#11758196—22no—
623#11758196—22no—
624#11758196—22no—
625#11758196—22no—
626#11758196—22no—
627#11758196—22no—
628#11758196—41no—
629#11758196—41no—
630C4×Dic61—22no—
631C4×Dic61—22no—
632C4×Dic61—22no—
633C4×Dic61—22no—
634C4×Dic61—22no—
635C4×Dic61—22no—
636C4×Dic61—22no—
637C4×Dic61—22no—
638C4×Dic61—41no—
639C4×Dic61—41no—
640C4×Dic61—41no—
641C4×Dic61—41no—
642C4×Dic61—41no—
643C4×Dic61C2×D414yescomplemented
644C23×C61—21no—
645C23×C61—21no—
646C23×C61—21no—
647C23×C61—21no—
648C23×C61—21no—
649C23×C61—21no—
650C23×C61—21no—
651C23×C61—21no—
652C23×C61—21no—
653C23×C61—21no—
654C23×C61—21no—
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—44no—
676C23×C61—44no—
677C23×C61—44no—
678C23×C61—82no—
679C23×C61—82no—
680C23×C61—82no—
681C23×C61—82no—
682C23×C61C22×D412yes—
683C23×C61C22×D412yes—
684C23×C61C2×#4112yes—
685C23×C61C2×#4112yes—
686C23×C61C2511yescharacteristic
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—21no—
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—44no—
709C22×D61—44no—
710C22×D61—44no—
711C22×D61—82no—
712C22×D61—82no—
713C22×D61—82no—
714C22×D61—82no—
715D4×C61—28no—
716D4×C61—44no—
717D4×C61—82no—
718D4×C61—82no—
719D4×C61—82no—
720D4×C61—82no—
721D4×C61—82no—
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—21no—
738C2×C4×C61—21no—
739C2×C4×C61—21no—
740C2×C4×C61—21no—
741C2×C4×C61—21no—
742C2×C4×C61—21no—
743C2×C4×C61—21no—
744C2×C4×C61—21no—
745C2×C4×C61—21no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—44no—
749C2×C4×C61—44no—
750C2×C4×C61—82no—
751C2×C4×C61C22×D412yes—
752C2×C4×C61C2×#4112yes—
753C2×C4×C61C2×#4112yes—
754C2×C4×C61H(5,𝔽2)12yes—
755C22⋊D61—44no—
756C22⋊D61—44no—
757C22⋊D61—44no—
758C22⋊D61—44no—
759C22⋊D61—44no—
760C22⋊D61—44no—
761C22⋊D61—82no—
762C22⋊D61—82no—
763C22⋊D61—82no—
764C22⋊D61—82no—
765C22⋊D61—82no—
766C22⋊D61—82no—
767C22⋊D61—82no—
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—28no—
779C2×Dic61—21no—
780C2×Dic61—21no—
781C2×Dic61—21no—
782C2×Dic61—21no—
783C2×Dic61—21no—
784C2×Dic61—21no—
785C2×Dic61—21no—
786C2×Dic61—21no—
787C2×Dic61—21no—
788C2×Dic61—21no—
789C2×Dic61—21no—
790C2×Dic61—21no—
791C2×Dic61—21no—
792C2×Dic61—21no—
793C2×Dic61—21no—
794C2×Dic61—21no—
795C2×Dic61—21no—
796C2×Dic61—21no—
797C2×Dic61—21no—
798C2×Dic61—21no—
799C2×Dic61—21no—
800C2×Dic61—44no—
801C2×Dic61—44no—
802C2×Dic61—44no—
803C2×Dic61—82no—
804C2×Dic61—82no—
805C2×Dic61C22×D412yes—
806C2×Dic61C22×D412yes—
807C2×Dic61C22×D412yes—
808C2×Dic61C22×D412yes—
809C2×Dic61C2×#4112yes—
810C2×Dic61C2×#4112yes—
811C2×Dic61H(5,𝔽2)12yes—
812C2×Dic61H(5,𝔽2)12yes—
813D244—82no—
814D244—82no—
815C4×D61—82no—
816Dic122—82no—
817Dic122—82no—
818#35007—611nomaximal, Sylow
819C22×C61—22no—
820C22×C61—22no—
821C22×C61—22no—
822C22×C61—22no—
823C22×C61—22no—
824C22×C61—22no—
825C22×C61—22no—
826C22×C61—22no—
827C22×C61—22no—
828C22×C61—41no—
829C22×C61—41no—
830C22×C61—41no—
831C22×C61—41no—
832C22×C61—41no—
833C22×C61—41no—
834C22×C61—41no—
835C22×C61—41no—
836C22×C61—41no—
837C22×C61—41no—
838C22×C61—41no—
839C22×C61—41no—
840C22×C61—41no—
841C22×C61—41no—
842C22×C61—41no—
843C22×C61—41no—
844C22×C61—41no—
845C22×C61—41no—
846C22×C61—41no—
847C22×C61—41no—
848C22×C61—41no—
849C22×C61—41no—
850C22×C61—41no—
851C22×C61—41no—
852C22×C61—41no—
853C22×C61—88no—
854C22×C61#53214yes—
855C22×C61C23×D411yescharacteristic
856C22×C61C22×#4111yescharacteristic
857C22×C61C22×#4111yescharacteristic
858C22×C61C2×H(5,𝔽2)11yescharacteristic
859C22×C61C2×H(5,𝔽2)11yescharacteristic
860C22×C61C2×H(5,𝔽2)11yescharacteristic
861C22×C61#58511yescharacteristic
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—41no—
871C2×D61—41no—
872C2×D61—41no—
873C2×D61—41no—
874C2×D61—41no—
875C2×D61—41no—
876C2×D61—41no—
877C2×D61—41no—
878C2×D61—41no—
879C2×D61—41no—
880C2×D61—41no—
881C2×D61—41no—
882C2×D61—41no—
883C2×D61—88no—
884C4×C61—22no—
885C4×C61—22no—
886C4×C61—22no—
887C4×C61—22no—
888C4×C61—41no—
889C4×C61—41no—
890C4×C61—41no—
891C4×C61—41no—
892C4×C61—41no—
893C4×C61—41no—
894Dic61—22no—
895Dic61—22no—
896Dic61—22no—
897Dic61—22no—
898Dic61—22no—
899Dic61—41no—
900Dic61—41no—
901Dic61—41no—
902Dic61—41no—
903Dic61—41no—
904Dic61—41no—
905Dic61—41no—
906Dic61#53814yescomplemented
907C2×#538—611no—
908C2×#538—611no—
909#2860—611no—
910#2858—611no—
911#2856—611no—
912#2854—611no—
913#2662—611no—
914#2662—611no—
915#2661—611no—
916#2661—611no—
917#2555—611no—
918#2555—611no—
919#2554—611no—
920#2554—611no—
921#2512—611no—
922#2491—611no—
923#2472—611no—
924#2472—611no—
925#2445—611no—
926#2440—611no—
927#2433—611no—
928#2428—611no—
929#2424—611no—
930#2424D6111yescharacteristic, complemented
931#2416—611no—
932#2408—611no—
933#2321—611no—
934#2321—611no—
935C4×#121—611no—
936C2×#390—611no—
937C42×D4—611no—
938C2×C61—24no—
939C2×C61—42no—
940C2×C61—81no—
941C2×C61—81no—
942C2×C61—81no—
943C2×C61C2×#53211yescharacteristic
944C2×C61C2×#53811yescharacteristic
945C2×C61#346011yescharacteristic
946C2×C61#349611yescharacteristic
947C2×C61#349811yescharacteristic
948C2×C61#351411yescharacteristic
949C2×C61#351911yescharacteristic
950D61—81no—
951D61—81no—
952D61—81no—
953C23×D4—611no—
954#538—1228no—
955#538—1228no—
956C2×C4⋊Q8—611no—
957C2×#127—611no—
958C2×#127—611no—
959C2×#126—611no—
960C2×#126—611no—
961C2×#126—611no—
962C2×#126—611no—
963C2×#124—611no—
964C2×#124—611no—
965C2×#124—611no—
966C2×#124—611no—
967C2×#124—611no—
968C2×#124—611no—
969C2×#123—611no—
970C2×#123—611no—
971C2×#123—611no—
972C2×#123—611no—
973C2×C22⋊Q8—611no—
974C2×C22⋊Q8—611no—
975C2×#121—611no—
976C2×#121—611no—
977C2×#121—611no—
978C2×#121—611no—
979C2×#121—611no—
980C2×#121—611no—
981C2×#121—611no—
982C2×#121—611no—
983C2×#121—611no—
984C2×#121—611no—
985C2×#121C2×D6111yescharacteristic
986C2×#121C2×D6111yescharacteristic, complemented
987C2×#120—611no—
988C2×#120—611no—
989C2×#120—611no—
990C2×#120—611no—
991C2×#120C2×D6111yescharacteristic
992C2×#120C2×D6111yescharacteristic
993C2×C4×D4—611no—
994C2×C4×D4—611no—
995C2×C4×D4—611no—
996C2×C4×D4—611no—
997C2×C4×D4—611no—
998C2×C4×D4C2×D6111yescharacteristic
999C22×C4⋊C4—611no—
1000C22×C22⋊C4—611no—
1001C22×C22⋊C4—611no—
1002C22×C22⋊C4—611no—
1003C22×C22⋊C4C2×D6111yescharacteristic
1004C22×C42—611no—
1005C22×C42—611no—
1006#398—611no—
1007#398—611no—
1008#397—611no—
1009#397—611no—
1010#396—611no—
1011#396—611no—
1012#396—611no—
1013#396C2×D6111yescharacteristic, complemented
1014#395—611no—
1015#395—611no—
1016#394—611no—
1017#394—611no—
1018#394—611no—
1019#394—611no—
1020#394—611no—
1021#394—611no—
1022#394—611no—
1023#394—611no—
1024#394—611no—
1025#394—611no—
1026#394C2×D6111yescharacteristic, complemented
1027#394C2×D6111yescharacteristic, complemented
1028#393—611no—
1029#393—611no—
1030#392—611no—
1031#392—611no—
1032#392—611no—
1033#392—611no—
1034#392—611no—
1035#392—611no—
1036#392—611no—
1037#392C2×D6111yescharacteristic, complemented
1038#390—611no—
1039#390—611no—
1040#390—611no—
1041#390—611no—
1042#390—611no—
1043#390—611no—
1044#390—611no—
1045#390—611no—
1046#390—611no—
1047#390—611no—
1048#390—611no—
1049#390—611no—
1050#390—611no—
1051#390—611no—
1052#390—611no—
1053#390—611no—
1054#390—611no—
1055#390—611no—
1056#390—611no—
1057#390—611no—
1058#390—611no—
1059#390C2×D6111yescharacteristic, complemented
1060#389—611no—
1061#389—611no—
1062#389—611no—
1063#389—611no—
1064#388—611no—
1065#388—611no—
1066#388—611no—
1067#388—611no—
1068#388—611no—
1069#388—611no—
1070#388—611no—
1071#388—611no—
1072#388—611no—
1073#388—611no—
1074#388—611no—
1075#388—611no—
1076#388—611no—
1077#388—611no—
1078#388—611no—
1079#388C2×D6111yescharacteristic, complemented
1080#386—611no—
1081#386—611no—
1082#386—611no—
1083#386—611no—
1084#386—611no—
1085#386—611no—
1086#386—611no—
1087#386—611no—
1088#386C2×D6111yescharacteristic
1089#386C2×D6111yescharacteristic, complemented
1090#385—611no—
1091#385C2×D6111yescharacteristic
1092#384—611no—
1093#380—611no—
1094#380—611no—
1095#379—611no—
1096#379—611no—
1097C4×C4⋊C4—611no—
1098C4×C4⋊C4—611no—
1099C4×C4⋊C4—611no—
1100C4×C4⋊C4—611no—
1101C4×C22⋊C4—611no—
1102C4×C22⋊C4—611no—
1103C4×C22⋊C4—611no—
1104C4×C22⋊C4—611no—
1105C4×C22⋊C4—611no—
1106C4×C22⋊C4—611no—
1107C4×C22⋊C4—611no—
1108C4×C22⋊C4—611no—
1109C43—611no—
1110C61#3500711yescharacteristic, complemented, Sylow
1111C25—611no—
1112C25C22×D6111yescharacteristic
1113C22×Q8—611no—
1114C22×Q8—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×D4—611no—
1127C22×D4—611no—
1128C22×D4—611no—
1129C22×D4—611no—
1130C22×D4—1224no—
1131C22×D4—2442no—
1132C22×D4—2442no—
1133C22×D4C22×D6111yescharacteristic
1134C22×D4C22×D6111yescharacteristic
1135C22×D4C22×D6111yescharacteristic
1136C22×D4C22×D6111yescharacteristic
1137C22×D4C22×D6111yescharacteristic
1138C22×D4C22×D6111yescharacteristic
1139C22×D4C22×D6111yescharacteristic
1140C23×C4—611no—
1141C23×C4—611no—
1142C23×C4—611no—
1143C23×C4—611no—
1144C23×C4—611no—
1145C23×C4—611no—
1146C23×C4—611no—
1147C23×C4C22×D6111yescharacteristic
1148C23×C4C22×D6111yescharacteristic
1149C23×C4C22×D6111yescharacteristic
1150C4⋊Q8—2442no—
1151#127—2442no—
1152#127—2442no—
1153#126—1224no—
1154#126—1224no—
1155#126—1224no—
1156#126—1224no—
1157#124—1224no—
1158#124—1224no—
1159#124—1224no—
1160#124—1224no—
1161#124—2442no—
1162#124—2442no—
1163#123—1224no—
1164#123—1224no—
1165#123—1224no—
1166#123—1224no—
1167C22⋊Q8—1224no—
1168C22⋊Q8—1224no—
1169#121—24no—
1170#121—42no—
1171#121—1224no—
1172#121—1224no—
1173#121—1224no—
1174#121—1224no—
1175#121—1224no—
1176#121—1224no—
1177#121—2442no—
1178#121—2442no—
1179#121—2442no—
1180#121—2442no—
1181#120—24no—
1182#120—24no—
1183#120—1224no—
1184#120—1224no—
1185#120—1224no—
1186#120—1224no—
1187C4×D4—24no—
1188C4×D4—618no—
1189C4×D4—1224no—
1190C4×D4—1224no—
1191C4×D4—1224no—
1192C4×D4—2442no—
1193C2×C4⋊C4—611no—
1194C2×C4⋊C4—611no—
1195C2×C4⋊C4—611no—
1196C2×C4⋊C4—611no—
1197C2×C4⋊C4—611no—
1198C2×C4⋊C4—611no—
1199C2×C4⋊C4—611no—
1200C2×C4⋊C4—611no—
1201C2×C4⋊C4—611no—
1202C2×C4⋊C4—611no—
1203C2×C4⋊C4—611no—
1204C2×C4⋊C4—611no—
1205C2×C4⋊C4—611no—
1206C2×C4⋊C4—611no—
1207C2×C4⋊C4—611no—
1208C2×C4⋊C4—611no—
1209C2×C4⋊C4—611no—
1210C2×C4⋊C4—611no—
1211C2×C4⋊C4—611no—
1212C2×C4⋊C4—611no—
1213C2×C4⋊C4—2442no—
1214C2×C4⋊C4C22×D6111yescharacteristic
1215C2×C4⋊C4C22×D6111yescharacteristic
1216C2×C4⋊C4C22×D6111yescharacteristic
1217C2×C4⋊C4C22×D6111yescharacteristic
1218C2×C22⋊C4—42no—
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—611no—
1255C2×C22⋊C4—611no—
1256C2×C22⋊C4—611no—
1257C2×C22⋊C4—611no—
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—1224no—
1265C2×C22⋊C4—1224no—
1266C2×C22⋊C4—2442no—
1267C2×C22⋊C4C22×D6111yescharacteristic
1268C2×C22⋊C4C22×D6111yescharacteristic
1269C2×C22⋊C4C22×D6111yescharacteristic
1270C2×C22⋊C4C22×D6111yescharacteristic
1271C2×C22⋊C4C22×D6111yescharacteristic
1272C2×C22⋊C4C22×D6111yescharacteristic
1273C2×C22⋊C4C22×D6111yescharacteristic
1274C2×C22⋊C4C22×D6111yescharacteristic
1275C2×C22⋊C4C22×D6111yescharacteristic
1276C2×C22⋊C4C22×D6111yescharacteristic
1277C2×C22⋊C4C22×D6111yescharacteristic
1278C2×C22⋊C4C22×D6111yescharacteristic
1279C2×C22⋊C4C22×D6111yescharacteristic
1280C2×C22⋊C4C22×D6111yescharacteristic
1281C2×C22⋊C4C22×D6111yescharacteristic
1282C2×C42—611no—
1283C2×C42—611no—
1284C2×C42—611no—
1285C2×C42—611no—
1286C2×C42—611no—
1287C2×C42—611no—
1288C2×C42—611no—
1289C2×C42—611no—
1290C2×C42—611no—
1291C2×C42—611no—
1292C2×C42—611no—
1293C2×C42—611no—
1294C2×C42—611no—
1295C2×C42—611no—
1296C2×C42—2442no—
1297C2×C42—2442no—
1298C2×C42C22×D6111yescharacteristic
1299#95—611no—
1300#95—611no—
1301#95—611no—
1302#95—611no—
1303#95—611no—
1304#95—611no—
1305#95—611no—
1306#95—611no—
1307#95—611no—
1308#95—611no—
1309#95—611no—
1310#95—611no—
1311#95—611no—
1312#95—611no—
1313#95—611no—
1314#95—611no—
1315#95C22×D6111yescharacteristic
1316#95C22×D6111yescharacteristic
1317#95C22×D6111yescharacteristic
1318#95C22×D6111yescharacteristic
1319C24—22no—
1320C24—22no—
1321C24—22no—
1322C24—41no—
1323C24—41no—
1324C24—41no—
1325C24—41no—
1326C24—611no—
1327C24—611no—
1328C24—611no—
1329C24—1222no—
1330C24—1222no—
1331C24—1222no—
1332C24—2441no—
1333C24—2441no—
1334C24—2441no—
1335C24—2441no—
1336C24C23×D6111yescharacteristic
1337C24C23×D6111yescharacteristic
1338C24C23×D6111yescharacteristic
1339C24C23×D6111yescharacteristic
1340C24C23×D6111yescharacteristic
1341C2×Q8—1222no—
1342C2×Q8—1222no—
1343C2×Q8—2441no—
1344C2×Q8—2441no—
1345C2×Q8—2441no—
1346C2×Q8—2441no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—1222no—
1368C2×D4—1222no—
1369C2×D4—1222no—
1370C2×D4—1222no—
1371C2×D4—1222no—
1372C2×D4—1222no—
1373C2×D4—1222no—
1374C2×D4—1222no—
1375C2×D4—1222no—
1376C2×D4—1222no—
1377C2×D4—1222no—
1378C2×D4—1222no—
1379C2×D4—1222no—
1380C2×D4—1222no—
1381C2×D4—1222no—
1382C2×D4—1222no—
1383C2×D4—1222no—
1384C2×D4—1222no—
1385C2×D4—1222no—
1386C2×D4—1222no—
1387C2×D4—1222no—
1388C2×D4—1222no—
1389C2×D4—1222no—
1390C2×D4—2441no—
1391C2×D4—2441no—
1392C2×D4—2441no—
1393C2×D4—2441no—
1394C2×D4—2441no—
1395C2×D4—2441no—
1396C2×D4—2441no—
1397C2×D4—2441no—
1398C2×D4—2441no—
1399C2×D4—2441no—
1400C2×D4—2441no—
1401C2×D4—2441no—
1402C2×D4—2441no—
1403C2×D4—2441no—
1404C2×D4—2441no—
1405C2×D4—2441no—
1406C2×D4—2441no—
1407C2×D4—2441no—
1408C2×D4—2441no—
1409C2×D4—2441no—
1410C2×D4—2441no—
1411C2×D4—2441no—
1412C2×D4—24416no—
1413C2×D4D4×D6114yes—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—41no—
1423C22×C4—611no—
1424C22×C4—614no—
1425C22×C4—611no—
1426C22×C4—611no—
1427C22×C4—611no—
1428C22×C4—611no—
1429C22×C4—611no—
1430C22×C4—614no—
1431C22×C4—614no—
1432C22×C4—611no—
1433C22×C4—611no—
1434C22×C4—611no—
1435C22×C4—611no—
1436C22×C4—611no—
1437C22×C4—611no—
1438C22×C4—611no—
1439C22×C4—1222no—
1440C22×C4—1222no—
1441C22×C4—1222no—
1442C22×C4—1222no—
1443C22×C4—1222no—
1444C22×C4—1222no—
1445C22×C4—1222no—
1446C22×C4—1222no—
1447C22×C4—2441no—
1448C22×C4—2441no—
1449C22×C4—2441no—
1450C22×C4—2441no—
1451C22×C4—2441no—
1452C22×C4—2441no—
1453C22×C4—2441no—
1454C22×C4—2441no—
1455C22×C4—2441no—
1456C22×C4—2441no—
1457C22×C4C23×D6111yescharacteristic
1458C22×C4C23×D6111yescharacteristic
1459C22×C4C23×D6111yescharacteristic
1460C22×C4C23×D6111yescharacteristic
1461C22×C4C23×D6111yescharacteristic
1462C22×C4C23×D6111yescharacteristic
1463C22×C4C23×D6111yescharacteristic
1464C22×C4C23×D6111yescharacteristic
1465C22×C4C23×D6111yescharacteristic
1466C22×C4C23×D6111yescharacteristic
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—41no—
1470C4⋊C4—41no—
1471C4⋊C4—614no—
1472C4⋊C4—1222no—
1473C4⋊C4—1222no—
1474C4⋊C4—1222no—
1475C4⋊C4—1222no—
1476C4⋊C4—1222no—
1477C4⋊C4—1222no—
1478C4⋊C4—1222no—
1479C4⋊C4—1222no—
1480C4⋊C4—1222no—
1481C4⋊C4—1222no—
1482C4⋊C4—1222no—
1483C4⋊C4—1222no—
1484C4⋊C4—1222no—
1485C4⋊C4—1222no—
1486C4⋊C4—1222no—
1487C4⋊C4—2441no—
1488C4⋊C4—2441no—
1489C4⋊C4—2441no—
1490C4⋊C4—2441no—
1491C22⋊C4—22no—
1492C22⋊C4—22no—
1493C22⋊C4—22no—
1494C22⋊C4—22no—
1495C22⋊C4—22no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—22no—
1501C22⋊C4—22no—
1502C22⋊C4—41no—
1503C22⋊C4—41no—
1504C22⋊C4—41no—
1505C22⋊C4—614no—
1506C22⋊C4—614no—
1507C22⋊C4—1222no—
1508C22⋊C4—1222no—
1509C22⋊C4—1222no—
1510C22⋊C4—1222no—
1511C22⋊C4—1222no—
1512C22⋊C4—1222no—
1513C22⋊C4—1222no—
1514C22⋊C4—1222no—
1515C22⋊C4—1222no—
1516C22⋊C4—1222no—
1517C22⋊C4—1222no—
1518C22⋊C4—1222no—
1519C22⋊C4—1222no—
1520C22⋊C4—1222no—
1521C22⋊C4—1222no—
1522C22⋊C4—1222no—
1523C22⋊C4—1222no—
1524C22⋊C4—1222no—
1525C22⋊C4—1222no—
1526C22⋊C4—1222no—
1527C22⋊C4—1222no—
1528C22⋊C4—1222no—
1529C22⋊C4—1222no—
1530C22⋊C4—1222no—
1531C22⋊C4—1222no—
1532C22⋊C4—1222no—
1533C22⋊C4—1222no—
1534C22⋊C4—1222no—
1535C22⋊C4—2441no—
1536C22⋊C4—2441no—
1537C22⋊C4—2441no—
1538C22⋊C4—2441no—
1539C22⋊C4—2441no—
1540C22⋊C4—2441no—
1541C22⋊C4—2441no—
1542C22⋊C4—2441no—
1543C22⋊C4—2441no—
1544C22⋊C4—2441no—
1545C22⋊C4—2441no—
1546C22⋊C4—2441no—
1547C22⋊C4—2441no—
1548C22⋊C4—2441no—
1549C22⋊C4—2441no—
1550C22⋊C4#1175822414yes—
1551C42—22no—
1552C42—614no—
1553C42—1222no—
1554C42—1222no—
1555C42—1222no—
1556C42—1222no—
1557C42—1222no—
1558C42—1222no—
1559C42—1222no—
1560C42—1222no—
1561C42—2441no—
1562C42—2441no—
1563C42—2441no—
1564C42—2441no—
1565C42—2441no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—44no—
1598C23—44no—
1599C23—44no—
1600C23—82no—
1601C23—82no—
1602C23—82no—
1603C23—82no—
1604C23—1221no—
1605C23—1221no—
1606C23—1221no—
1607C23—1221no—
1608C23—1221no—
1609C23—1221no—
1610C23—1221no—
1611C23—1221no—
1612C23—1221no—
1613C23—1221no—
1614C23—1221no—
1615C23—1221no—
1616C23—1221no—
1617C23—1221no—
1618C23—1221no—
1619C23—1221no—
1620C23—1221no—
1621C23—1221no—
1622C23—1221no—
1623C23—1221no—
1624C23—1221no—
1625C23—4882no—
1626C23—4882no—
1627C23—4882no—
1628C23—4882no—
1629C23—2444no—
1630C23—2444no—
1631C23—2444no—
1632C23C2×D4×D6112yes—
1633C23C2×D4×D6112yes—
1634C23#41×D6112yes—
1635C23C2×#1175822412yes—
1636C23C24×D6111yescharacteristic
1637Q8—4882no—
1638Q8—4882no—
1639D4—28no—
1640D4—44no—
1641D4—82no—
1642D4—82no—
1643D4—82no—
1644D4—82no—
1645D4—82no—
1646D4—4882no—
1647D4—4882no—
1648D4—4882no—
1649D4—4882no—
1650D4—4882no—
1651D4—4882no—
1652D4—4882no—
1653D4—4882no—
1654D4—4882no—
1655D4—2444no—
1656D4—2444no—
1657D4—2444no—
1658D4—2444no—
1659D4—2444no—
1660D4—2444no—
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—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—44no—
1688C2×C4—44no—
1689C2×C4—82no—
1690C2×C4—612no—
1691C2×C4—612no—
1692C2×C4—612no—
1693C2×C4—612no—
1694C2×C4—612no—
1695C2×C4—612no—
1696C2×C4—612no—
1697C2×C4—612no—
1698C2×C4—1228no—
1699C2×C4—1221no—
1700C2×C4—1221no—
1701C2×C4—1221no—
1702C2×C4—1221no—
1703C2×C4—1221no—
1704C2×C4—1221no—
1705C2×C4—1221no—
1706C2×C4—1221no—
1707C2×C4—1221no—
1708C2×C4—1221no—
1709C2×C4—1221no—
1710C2×C4—1221no—
1711C2×C4—1221no—
1712C2×C4—1221no—
1713C2×C4—1221no—
1714C2×C4—1221no—
1715C2×C4—1221no—
1716C2×C4—1221no—
1717C2×C4—1221no—
1718C2×C4—1221no—
1719C2×C4—1221no—
1720C2×C4—1221no—
1721C2×C4—1221no—
1722C2×C4—1221no—
1723C2×C4—1221no—
1724C2×C4—1221no—
1725C2×C4—1221no—
1726C2×C4—1221no—
1727C2×C4—1221no—
1728C2×C4—1221no—
1729C2×C4—1221no—
1730C2×C4—4882no—
1731C2×C4—4882no—
1732C2×C4—4882no—
1733C2×C4—2444no—
1734C2×C4—2444no—
1735C2×C4—2444no—
1736C2×C4C2×D4×D6112yes—
1737C2×C4C2×#1175822412yes—
1738C2×C4C2×#1175822412yes—
1739C2×C4#1451982212yes—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—88no—
1775C22—4888no—
1776C22—2441no—
1777C22—2441no—
1778C22—2441no—
1779C22—2441no—
1780C22—2441no—
1781C22—2441no—
1782C22—2441no—
1783C22—2441no—
1784C22—2441no—
1785C22—2441no—
1786C22—2441no—
1787C22—2441no—
1788C22—2441no—
1789C22—2441no—
1790C22—2441no—
1791C22—2441no—
1792C22—2441no—
1793C22—2441no—
1794C22—2441no—
1795C22—2441no—
1796C22—2441no—
1797C22#1684030714yes—
1798C22C22×D4×D6111yescharacteristic
1799C22C2×#41×D6111yescharacteristic
1800C22C22×#1175822411yescharacteristic
1801C22H(5,𝔽2)×D6111yescharacteristic
1802C22H(5,𝔽2)×D6111yescharacteristic
1803C22C2×#1451982211yescharacteristic
1804C22#1684059811yescharacteristic
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—614no—
1816C4—1222no—
1817C4—1222no—
1818C4—1222no—
1819C4—1222no—
1820C4—1222no—
1821C4—2441no—
1822C4—2441no—
1823C4—2441no—
1824C4—2441no—
1825C4—2441no—
1826C4—2441no—
1827C4—2441no—
1828C2—24no—
1829C2—42no—
1830C2—81no—
1831C2—81no—
1832C2—81no—
1833C2—4881no—
1834C2—4881no—
1835C2—4881no—
1836C2C2×#1684030711yescharacteristic
1837C2#538×D6111yescharacteristic
1838C2#2145923711yescharacteristic
1839C2#2145957911yescharacteristic
1840C2#2145959111yescharacteristic
1841C2#2145976711yescharacteristic
1842C2#2145983811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2424C2
hypercenter#2424D61
hypocenterC61#35007
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. C2×#16840349C2semidirect
2. C2×#16840347C2semidirect
3. #21454185C2semidirect
4. #21454173C2semidirect
5. #21454162C2semidirect
6. #21454147C2semidirect
7. #21451957C2semidirect
8. #21451955C2semidirect
9. #21451946C2semidirect
10. #21451944C2semidirect
11. #21450892C2semidirect
12. #21450891C2semidirect
13. #21450878C2semidirect
14. #21450876C2semidirect
15. #21450398C2semidirect
16. #21450175C2semidirect
17. #21449947C2semidirect
18. #21449939C2semidirect
19. #21449577C2semidirect
20. #21449520C2semidirect
21. #21449454C2semidirect
22. #21449400C2semidirect
23. #21449349C2semidirect
24. #21449256C2semidirect
25. #21449172C2semidirect
26. #21448480C2semidirect
27. #21448476C2semidirect
28. #21448329C2semidirect
29. C2×#16839662C2semidirect
30. C4×D4×Dic61C2semidirect
31. C61×#2424C2semidirect
35. C2×#14519776C22semidirect
38. C2×#14519772C22semidirect
39. C2×#14519772C22semidirect
40. C2×#14519770C22semidirect
41. C2×#14519770C22semidirect
42. C2×#14519764C22semidirect
43. C2×#14519763C22semidirect
44. C2×#14519763C22semidirect
45. C2×#14519763C22semidirect
46. C2×#14519763C22semidirect
47. C2×#14519763C22semidirect
48. C2×#14519761C22semidirect
49. C2×#14519761C22semidirect
50. C2×#14519759C22semidirect
51. C2×#14519758C22semidirect
54. C2×#14519751C22semidirect
59. C2×#14519749C22semidirect
60. C2×#14519749C22semidirect
61. C2×#14519749C22semidirect
62. C2×#14519749C22semidirect
63. C2×#14519748C22semidirect
72. C2×#14519737C22semidirect
78. C22×C4×Dic61C22semidirect
79. #16839696C22semidirect
80. #16839695C22semidirect
81. #16839691C22semidirect
82. #16839690C22semidirect
83. #16839685C22semidirect
84. #16839684C22semidirect
85. #16839684C22semidirect
86. #16839683C22semidirect
87. #16839682C22semidirect
88. #16839679C22semidirect
91. #16839678C22semidirect
92. #16839678C22semidirect
93. #16839678C22semidirect
94. #16839677C22semidirect
95. #16839677C22semidirect
96. #16839677C22semidirect
97. #16839676C22semidirect
98. #16839675C22semidirect
99. #16839674C22semidirect
102. #16839671C22semidirect
107. #16839665C22semidirect
108. #16839665C22semidirect
109. #16839664C22semidirect
110. #16839663C22semidirect
111. #16839663C22semidirect
124. #16839662C22semidirect
125. #16839662C22semidirect
126. #16839662C22semidirect
127. #16839662C22semidirect
128. #16839659C22semidirect
129. #16839659C22semidirect
130. #16839659C22semidirect
131. #16839657C22semidirect
132. #16839655C22semidirect
133. #16839655C22semidirect
134. #16839655C22semidirect
135. #16839655C22semidirect
136. #16839655C22semidirect
137. #16839654C22semidirect
138. #16839654C22semidirect
139. #16839653C22semidirect
140. #16839652C22semidirect
141. #16839652C22semidirect
142. #16839651C22semidirect
143. #16839651C22semidirect
144. #16839651C22semidirect
145. #16839650C22semidirect
146. #16839650C22semidirect
148. #16839642C22semidirect
149. #16839642C22semidirect
152. #16839641C22semidirect
153. #16839640C22semidirect
154. #16839640C22semidirect
156. #16839631C22semidirect
158. #16839620C22semidirect
161. C4⋊C4×Dic61C22semidirect
162. C4⋊C4×Dic61C22semidirect
163. C4×C4⋊Dic61C22semidirect
164. #16839613C22semidirect
167. C22⋊C4×Dic61C22semidirect
168. C22⋊C4×Dic61C22semidirect
169. C22⋊C4×Dic61C22semidirect
171. C4×C22⋊Dic61C22semidirect
172. #16839609C22semidirect
173. C42×Dic61C22semidirect
175. C2×#121×C61C22semidirect
180. C61×#396C22semidirect
181. C61×#394C22semidirect
182. C61×#394C22semidirect
183. C61×#392C22semidirect
184. C61×#390C22semidirect
185. C61×#388C22semidirect
187. C61×#386C22semidirect
252. D4×Dic61D4semidirect
515. C22×Dic61C2×D4semidirect
584. C22⋊Dic61C2×D4semidirect
616. C4⋊Dic61C2×D4semidirect
643. C4×Dic61C2×D4semidirect
906. Dic61#538semidirect
930. #2424D61semidirect
986. C2×#121C2×D61semidirect
1013. #396C2×D61semidirect
1026. #394C2×D61semidirect
1027. #394C2×D61semidirect
1037. #392C2×D61semidirect
1059. #390C2×D61semidirect
1079. #388C2×D61semidirect
1089. #386C2×D61semidirect
1110. C61#35007semidirect

Maximal subgroups

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

subgroupindex
C2×#168403492
C2×#168403472
#214541852
#214541732
#214541622
#214541472
#214519572
#214519552
#214519462
#214519442
#214508922
#214508912
#214508782
#214508762
#214503982
#214501752
#214499472
#214499392
#214495772
#214495202
#214494542
#214494002
#214493492
#214492562
#214491722
#214484802
#214484762
#214483292
C2×#168396622
C4×D4×Dic612
C61×#24242
#3500761