Finite Group Databasebeta

← #29888453

Subgroups — #29888453

Order 15616.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21454136C211yesmaximal, characteristic, complemented
2#21454116C211yesmaximal, characteristic, complemented
3#21453489C211yesmaximal, characteristic, complemented
4#21453487C211yesmaximal, characteristic, complemented
5#21453443C211yesmaximal, characteristic, complemented
6#21453253C211yesmaximal, characteristic, complemented
7#21453243C211yesmaximal, characteristic, complemented
8#21453199C211yesmaximal, characteristic, complemented
9#21453147C211yesmaximal, characteristic, complemented
10#21453047C211yesmaximal, characteristic, complemented
11#21452957C211yesmaximal, characteristic, complemented
12#21452933C211yesmaximal, characteristic, complemented
13#21452861C211yesmaximal, characteristic, complemented
14#21452859C211yesmaximal, characteristic, complemented
15#21452823C211yesmaximal, characteristic, complemented
16#21452446C211yesmaximal, characteristic, complemented
17#21452203C211yesmaximal, characteristic, complemented
18#21452201C211yesmaximal, characteristic, complemented
19#21451561C211yesmaximal, characteristic, complemented
20#21450383C211yesmaximal, characteristic, complemented
21#21450141C211yesmaximal, characteristic, complemented
22#21449573C211yesmaximal, characteristic, complemented
23#21449483C211yesmaximal, characteristic, complemented
24#21449366C211yesmaximal, characteristic, complemented
25#21449217C211yesmaximal, characteristic, complemented
26#21449192C211yesmaximal, characteristic
27#21449143C211yesmaximal, characteristic, complemented
28#21448476C211yesmaximal, characteristic, complemented
29#21448393C211yesmaximal, characteristic, complemented
30C2×#16839652C211yesmaximal, characteristic, complemented
31C61×#2623C211yesmaximal, characteristic, complemented
32C22×D4×D61C2211yescharacteristic
33C2×#14519772C2211yescharacteristic, complemented
34C2×#14519763C2211yescharacteristic, complemented
35C2×#14519760C2211yescharacteristic
36C2×#14519760C2211yescharacteristic, complemented
37C2×#14519757C2211yescharacteristic, complemented
38C2×#14519754C2211yescharacteristic, complemented
39C2×#14519751C2211yescharacteristic
40C2×#14519749C2211yescharacteristic
41C2×#14519747C2211yescharacteristic
42C2×#14519747C2211yescharacteristic
43C2×#14519737C2211yescharacteristic, complemented
44C22×#11758198C2211yescharacteristic
45C22×#11758198C2211yescharacteristic
46C22×#11758198C2211yescharacteristic
47C2×C22⋊C4×D61C2211yescharacteristic
48C22×C4×Dic61C2211yescharacteristic, complemented
49C61⋊#401C2211yescharacteristic, complemented
50#16839704C2211yescharacteristic, complemented
51#16839704C2211yescharacteristic, complemented
52#16839704C2211yescharacteristic, complemented
53#16839703C2211yescharacteristic, complemented
54#16839699C2211yescharacteristic
55#16839693C2211yescharacteristic, complemented
56#16839692C2211yescharacteristic, complemented
57#16839692C2211yescharacteristic, complemented
58#16839691C2211yescharacteristic
59#16839691C2211yescharacteristic
60#16839691C2211yescharacteristic, complemented
61#16839691C2211yescharacteristic, complemented
62#16839690C2211yescharacteristic, complemented
63#16839688C2211yescharacteristic, complemented
64#16839688C2211yescharacteristic, complemented
65#16839687C2211yescharacteristic, complemented
66#16839685C2211yescharacteristic, complemented
67#16839684C2211yescharacteristic
68#16839684C2211yescharacteristic
69#16839684C2211yescharacteristic, complemented
70#16839684C2211yescharacteristic, complemented
71#16839684C2211yescharacteristic, complemented
72#16839684C2211yescharacteristic, complemented
73#16839680C2211yescharacteristic
74#16839680C2211yescharacteristic
75#16839680C2211yescharacteristic
76#16839679C2211yescharacteristic
77#16839679C2211yescharacteristic
78#16839679C2211yescharacteristic, complemented
79#16839679C2211yescharacteristic, complemented
80#16839679C2211yescharacteristic, complemented
81#16839678C2211yescharacteristic
82#16839678C2211yescharacteristic, complemented
83#16839677C2211yescharacteristic
84#16839677C2211yescharacteristic
85#16839675C2211yescharacteristic
86#16839675C2211yescharacteristic, complemented
87#16839672C2211yescharacteristic
88#16839671C2211yescharacteristic
89#16839666C2211yescharacteristic, complemented
90#16839666C2211yescharacteristic, complemented
91#16839663C2211yescharacteristic
92#16839663C2211yescharacteristic, complemented
93#16839662C2211yescharacteristic, complemented
94#16839658C2211yescharacteristic, complemented
95#16839656C2211yescharacteristic, complemented
96#16839655C2211yescharacteristic, complemented
97#16839655C2211yescharacteristic, complemented
98#16839654C2211yescharacteristic, complemented
99#16839654C2211yescharacteristic, complemented
100#16839654C2211yescharacteristic, complemented
101#16839652C2211yescharacteristic
102#16839652C2211yescharacteristic
103#16839652C2211yescharacteristic
104#16839652C2211yescharacteristic
105#16839652C2211yescharacteristic
106#16839652C2211yescharacteristic, complemented
107#16839652C2211yescharacteristic, complemented
108#16839652C2211yescharacteristic, complemented
109#16839652C2211yescharacteristic, complemented
110#16839652C2211yescharacteristic, complemented
111#16839652C2211yescharacteristic, complemented
112#16839652C2211yescharacteristic, complemented
113#16839651C2211yescharacteristic
114#16839651C2211yescharacteristic, complemented
115#16839651C2211yescharacteristic, complemented
116#16839651C2211yescharacteristic, complemented
117#16839651C2211yescharacteristic, complemented
118#16839650C2211yescharacteristic, complemented
119#16839650C2211yescharacteristic, complemented
120#16839648C2211yescharacteristic, complemented
121#16839648C2211yescharacteristic, complemented
122#16839647C2211yescharacteristic, complemented
123#16839645C2211yescharacteristic, complemented
124#16839643C2211yescharacteristic, complemented
125#16839642C2211yescharacteristic
126#16839642C2211yescharacteristic
127#16839641C2211yescharacteristic
128#16839641C2211yescharacteristic, complemented
129#16839640C2211yescharacteristic
130#16839640C2211yescharacteristic
131#16839640C2211yescharacteristic
132#16839640C2211yescharacteristic
133#16839640C2211yescharacteristic, complemented
134#16839640C2211yescharacteristic, complemented
135#16839640C2211yescharacteristic, complemented
136#16839640C2211yescharacteristic, complemented
137#16839639C2211yescharacteristic
138#16839639C2211yescharacteristic
139#16839639C2211yescharacteristic
140#16839639C2211yescharacteristic, complemented
141#16839638C2211yescharacteristic
142#16839638C2211yescharacteristic
143#16839638C2211yescharacteristic, complemented
144#16839637C2211yescharacteristic, complemented
145#16839636C2211yescharacteristic
146#16839636C2211yescharacteristic, complemented
147#16839636C2211yescharacteristic, complemented
148#16839634C2211yescharacteristic, complemented
149#16839633C2211yescharacteristic
150#16839633C2211yescharacteristic
151#16839629C2211yescharacteristic, complemented
152#16839629C2211yescharacteristic, complemented
153#16839626C2211yescharacteristic, complemented
154#16839626C2211yescharacteristic, complemented
155#16839624C2211yescharacteristic
156#16839624C2211yescharacteristic
157#16839624C2211yescharacteristic, complemented
158#16839622C2211yescharacteristic, complemented
159#16839621C2211yescharacteristic, complemented
160#16839621C2211yescharacteristic, complemented
161#16839619C2211yescharacteristic, complemented
162#16839619C2211yescharacteristic, complemented
163#16839617C2211yescharacteristic
164#16839617C2211yescharacteristic
165#16839617C2211yescharacteristic
166#16839617C2211yescharacteristic
167#16839617C2211yescharacteristic
168#16839617C2211yescharacteristic
169C22⋊C4×Dic61C2211yescharacteristic, complemented
170C2×#14519684C2211yescharacteristic, complemented
171C2×#14519684C2211yescharacteristic, complemented
172C2×#123×C61C2211yescharacteristic
173C22×C4⋊C4×C61C2211yescharacteristic, complemented
174C61×#400C2211yescharacteristic, complemented
175C61×#400C2211yescharacteristic, complemented
176C61×#399C2211yescharacteristic, complemented
177C61×#399C2211yescharacteristic, complemented
178C61×#398C2211yescharacteristic, complemented
179C61×#398C2211yescharacteristic, complemented
180C61×#397C2211yescharacteristic, complemented
181C61×#397C2211yescharacteristic, complemented
182C61×#386C2211yescharacteristic
183C61×#386C2211yescharacteristic
184C61×#385C2211yescharacteristic, complemented
185C61×#385C2211yescharacteristic, complemented
186C61×#381C2211yescharacteristic, complemented
187C24×D61C2311yescharacteristic
188C24×D61C2311yescharacteristic
189C22×Dic122C2311yescharacteristic
190C22×D244C2311yescharacteristic
191C22×D244C2311yescharacteristic
192C22×D244C2311yescharacteristic
193C22×D244C2311yescharacteristic
194C22×C22⋊D61C2311yescharacteristic
195C22×C22⋊D61C2311yescharacteristic
196C22×C22⋊D61C2311yescharacteristic
197C22×C22⋊D61C2311yescharacteristic
198C2×D4×D61—24no—
199C2×D4×D61—42no—
200C2×D4×D61—42no—
201C23×Dic61C2311yescharacteristic
202C23×Dic61C2311yescharacteristic
203C23×Dic61C2311yescharacteristic
204C22×C4×D61C2311yescharacteristic
205C22×C4×D61C2311yescharacteristic
206C22×C4×D61C2311yescharacteristic
207C22×C4×D61C2311yescharacteristic
208#14519772—42no—
209#14519763—42no—
210#14519760—42no—
211#14519760—42no—
212#14519757—42no—
213#14519754—42no—
214#14519751—42no—
215#14519749—42no—
216#14519747—24no—
217#14519747—42no—
218#14519737—42no—
219C2×C4⋊Dic61C2311yescharacteristic
220C2×C4⋊Dic61C2311yescharacteristic
221C2×C4⋊Dic61C2311yescharacteristic
222C2×C4⋊Dic61C2311yescharacteristic
223C2×C4⋊Dic61C2311yescharacteristic
224C2×C4⋊Dic61C2311yescharacteristic
225C2×#11758196C2311yescharacteristic
226C2×#11758196C2311yescharacteristic
227C2×#11758196C2311yescharacteristic
228C2×#11758196C2311yescharacteristic
229C2×#11758196C2311yescharacteristic
230C2×#11758196C2311yescharacteristic
231C2×#11758196C2311yescharacteristic
232C2×#11758196C2311yescharacteristic
233C2×#11758196C2311yescharacteristic
234C2×#11758196C2311yescharacteristic
235C2×C22⋊Dic61C2311yescharacteristic
236C2×C22⋊Dic61C2311yescharacteristic
237C2×C22⋊Dic61C2311yescharacteristic
238C2×C22⋊Dic61C2311yescharacteristic
239C2×C22⋊Dic61C2311yescharacteristic
240C2×C22⋊Dic61C2311yescharacteristic
241C2×C22⋊Dic61C2311yescharacteristic
242C2×#11758198—24no—
243C2×#11758198—42no—
244C2×#11758198—42no—
245C2×#11758198C2311yescharacteristic
246C2×#11758198C2311yescharacteristic
247C2×#11758198C2311yescharacteristic
248C2×#11758198C2311yescharacteristic
249C2×#11758198C2311yescharacteristic
250C2×#11758198C2311yescharacteristic
251C2×#11758198C2311yescharacteristic
252C2×#11758198C2311yescharacteristic
253C2×#11758198C2311yescharacteristic
254C2×#11758198C2311yescharacteristic
255C2×#11758198C2311yescharacteristic
256C2×#11758198C2311yescharacteristic
257C2×#11758198C2311yescharacteristic
258C2×#11758198C2311yescharacteristic
259C2×#11758198C2311yescharacteristic
260C2×#11758198C2311yescharacteristic
261C2×#11758198C2311yescharacteristic
262C2×#11758198C2311yescharacteristic
263C2×#11758198C2311yescharacteristic
264C2×#11758198C2311yescharacteristic
265C2×#11758198C2311yescharacteristic
266C2×#11758198C2311yescharacteristic
267C2×#11758198C2311yescharacteristic
268C2×#11758198C2311yescharacteristic
269C2×#11758198C2311yescharacteristic
270C2×#11758198C2311yescharacteristic
271C2×#11758198C2311yescharacteristic
272C2×#11758198C2311yescharacteristic
273C2×#11758198C2311yescharacteristic
274C2×#11758198C2311yescharacteristic
275C2×#11758198C2311yescharacteristic
276C2×#11758198C2311yescharacteristic
277C2×#11758198C2311yescharacteristic
278C2×#11758198C2311yescharacteristic
279C2×#11758198C2311yescharacteristic
280C2×#11758198C2311yescharacteristic
281C2×#11758198C2311yescharacteristic
282C2×#11758198C2311yescharacteristic
283C2×#11758198C2311yescharacteristic
284C2×#11758198C2311yescharacteristic
285C22⋊C4×D61—42no—
286C2×C4×Dic61—42no—
287C2×C4×Dic61C2311yescharacteristic
288C2×C4×Dic61C2311yescharacteristic
289C2×C4×Dic61C2311yescharacteristic
290C2×C4×Dic61C2311yescharacteristic
291C2×C4×Dic61C2311yescharacteristic
292C2×C4×Dic61C2311yescharacteristic
293C2×C4×Dic61C2311yescharacteristic
294#14519684C2311yescharacteristic
295#14519684C2311yescharacteristic
296#14519684C2311yescharacteristic
297#14519684C2311yescharacteristic
298#14519684C2311yescharacteristic
299#14519684C2311yescharacteristic
300#14519684C2311yescharacteristic
301#14519684C2311yescharacteristic
302#14519684C2311yescharacteristic
303#14519684C2311yescharacteristic
304#14519684C2311yescharacteristic
305#14519684C2311yescharacteristic
306#14519684C2311yescharacteristic
307#14519684C2311yescharacteristic
308#14519684C2311yescharacteristic
309#14519684C2311yescharacteristic
310#14519684C2311yescharacteristic
311#14519684C2311yescharacteristic
312#14519684C2311yescharacteristic
313#14519684C2311yescharacteristic
314#14519684C2311yescharacteristic
315#14519684C2311yescharacteristic
316#14519684C2311yescharacteristic
317#14519684C2311yescharacteristic
318#14519684C2311yescharacteristic
319#14519684C2311yescharacteristic
320#14519684C2311yescharacteristic
321#14519684C2311yescharacteristic
322#14519684C2311yescharacteristic
323#14519684C2311yescharacteristic
324#14519684C2311yescharacteristic
325#14519684C2311yescharacteristic
326C22×D4×C61C2311yescharacteristic
327C23×C4×C61C2311yescharacteristic
328C23×C4×C61C2311yescharacteristic
329C23×C4×C61C2311yescharacteristic
330#123×C61—42no—
331C2×C4⋊C4×C61—42no—
332C2×C4⋊C4×C61C2311yescharacteristic
333C2×C4⋊C4×C61C2311yescharacteristic
334C2×C4⋊C4×C61C2311yescharacteristic
335C2×C4⋊C4×C61C2311yescharacteristic
336C2×C4⋊C4×C61C2311yescharacteristic
337C2×C4⋊C4×C61C2311yescharacteristic
338C2×C4⋊C4×C61C2311yescharacteristic
339C2×C4⋊C4×C61C2311yescharacteristic
340C2×C4⋊C4×C61C2311yescharacteristic
341C2×C4⋊C4×C61C2311yescharacteristic
342C2×C22⋊C4×C61C2311yescharacteristic
343C2×C22⋊C4×C61C2311yescharacteristic
344C2×C22⋊C4×C61C2311yescharacteristic
345C2×C22⋊C4×C61C2311yescharacteristic
346C2×C22⋊C4×C61C2311yescharacteristic
347C2×C22⋊C4×C61C2311yescharacteristic
348C2×C22⋊C4×C61C2311yescharacteristic
349C2×C22⋊C4×C61C2311yescharacteristic
350C2×C22⋊C4×C61C2311yescharacteristic
351#95×C61C2311yescharacteristic
352#95×C61C2311yescharacteristic
353#95×C61C2311yescharacteristic
354#95×C61C2311yescharacteristic
355#95×C61C2311yescharacteristic
356#95×C61C2311yescharacteristic
357#95×C61C2311yescharacteristic
358#95×C61C2311yescharacteristic
359#95×C61C2311yescharacteristic
360#95×C61C2311yescharacteristic
361#95×C61C2311yescharacteristic
362#95×C61C2311yescharacteristic
363C24×C61C2411yescharacteristic
364C24×C61C2411yescharacteristic
365C23×D61—22no—
366C23×D61—22no—
367C23×D61—22no—
368C23×D61—41no—
369C23×D61—41no—
370C23×D61—41no—
371C23×D61—41no—
372C23×D61—41no—
373C23×D61—41no—
374C23×D61—41no—
375C23×D61—41no—
376C23×D61—41no—
377C23×D61—41no—
378C23×D61#4114yes—
379C23×D61C2411yescharacteristic
380C23×D61C2411yescharacteristic
381C23×D61C2411yescharacteristic
382C23×D61C2411yescharacteristic
383C2×D4×C61—22no—
384C2×D4×C61—22no—
385C2×D4×C61—22no—
386C22×C4×C61—22no—
387C22×C4×C61—22no—
388C22×C4×C61—22no—
389C22×C4×C61—22no—
390C22×C4×C61—22no—
391C22×C4×C61—41no—
392C22×C4×C61—41no—
393C22×C4×C61—41no—
394C22×C4×C61—41no—
395C22×C4×C61C2411yescharacteristic
396C22×C4×C61C2411yescharacteristic
397C22×C4×C61C2411yescharacteristic
398C22×C4×C61C2411yescharacteristic
399C22×C4×C61C2411yescharacteristic
400C22×C4×C61C2411yescharacteristic
401C22×C4×C61C2411yescharacteristic
402C22×C4×C61C2411yescharacteristic
403C22×C4×C61C2411yescharacteristic
404C22×C4×C61C2411yescharacteristic
405C22×C4×C61C2411yescharacteristic
406C22×C4×C61C2411yescharacteristic
407C22×C4×C61C2411yescharacteristic
408C2×C22⋊D61—22no—
409C2×C22⋊D61—22no—
410C2×C22⋊D61—22no—
411C2×C22⋊D61—22no—
412C2×C22⋊D61—22no—
413C2×C22⋊D61—22no—
414C2×C22⋊D61—22no—
415C2×C22⋊D61—22no—
416C2×C22⋊D61—41no—
417C2×C22⋊D61—41no—
418C2×C22⋊D61—41no—
419C2×C22⋊D61—41no—
420C22×Dic61—22no—
421C22×Dic61—22no—
422C22×Dic61—22no—
423C22×Dic61—22no—
424C22×Dic61—41no—
425C22×Dic61—41no—
426C22×Dic61—41no—
427C22×Dic61—41no—
428C22×Dic61—41no—
429C22×Dic61C2411yescharacteristic
430C22×Dic61C2411yescharacteristic
431C22×Dic61C2411yescharacteristic
432C22×Dic61C2411yescharacteristic
433C22×Dic61C2411yescharacteristic
434C22×Dic61C2411yescharacteristic
435C22×Dic61C2411yescharacteristic
436C22×Dic61C2411yescharacteristic
437C22×Dic61C2411yescharacteristic
438C22×Dic61C2411yescharacteristic
439C22×Dic61C2411yescharacteristic
440C22×Dic61C2411yescharacteristic
441D4×D61—416no—
442C2×D244—22no—
443C2×D244—22no—
444C2×D244—22no—
445C2×D244—41no—
446C2×D244—41no—
447C2×D244—41no—
448C2×D244—41no—
449C2×D244—41no—
450C2×D244—41no—
451C2×D244—41no—
452C2×D244—41no—
453C2×D244—41no—
454C2×C4×D61—22no—
455C2×C4×D61—41no—
456C2×C4×D61—41no—
457C2×C4×D61—41no—
458C2×C4×D61—41no—
459C2×C4×D61—41no—
460C2×C4×D61—41no—
461C2×C4×D61—41no—
462C2×C4×D61—41no—
463C2×C4×D61—41no—
464C2×C4×D61—41no—
465C2×C4×D61—41no—
466C2×Dic122—22no—
467C2×Dic122—41no—
468C2×Dic122—41no—
469C4⋊C4×C61—41no—
470C4⋊C4×C61—41no—
471C4⋊C4×C61—41no—
472C4⋊C4×C61—41no—
473C4⋊C4×C61—41no—
474C4⋊C4×C61—41no—
475C4⋊C4×C61—41no—
476C4⋊C4×C61—41no—
477C4⋊C4×C61—41no—
478C4⋊C4×C61—41no—
479C22⋊C4×C61—22no—
480C22⋊C4×C61—22no—
481C22⋊C4×C61—22no—
482C22⋊C4×C61—41no—
483C22⋊C4×C61—41no—
484C22⋊C4×C61—41no—
485C22⋊C4×C61—41no—
486C22⋊C4×C61—41no—
487C22⋊C4×C61—41no—
488C22⋊Dic61—22no—
489C22⋊Dic61—22no—
490C22⋊Dic61—41no—
491C22⋊Dic61—41no—
492C22⋊Dic61—41no—
493C22⋊Dic61—41no—
494C22⋊Dic61—41no—
495#11758198—22no—
496#11758198—22no—
497#11758198—22no—
498#11758198—22no—
499#11758198—22no—
500#11758198—22no—
501#11758198—22no—
502#11758198—22no—
503#11758198—22no—
504#11758198—41no—
505#11758198—41no—
506#11758198—41no—
507#11758198—41no—
508#11758198—41no—
509#11758198—41no—
510#11758198—41no—
511#11758198—41no—
512#11758198—41no—
513#11758198—41no—
514#11758198—41no—
515#11758198—41no—
516#11758198—41no—
517#11758198—41no—
518#11758198—41no—
519#11758198—41no—
520#11758198—41no—
521#11758198—41no—
522#11758198—41no—
523#11758198—41no—
524#11758198—41no—
525#11758198—41no—
526#11758198—41no—
527#11758198—41no—
528#11758198—41no—
529#11758198—41no—
530#11758198—41no—
531#11758198—41no—
532#11758198—41no—
533#11758198—41no—
534#11758198—41no—
535C4⋊Dic61—22no—
536C4⋊Dic61—41no—
537C4⋊Dic61—41no—
538C4⋊Dic61—41no—
539C4⋊Dic61—41no—
540C4⋊Dic61—41no—
541#11758196—41no—
542#11758196—41no—
543#11758196—41no—
544#11758196—41no—
545#11758196—41no—
546#11758196—41no—
547#11758196—41no—
548#11758196—41no—
549#11758196—41no—
550#11758196—41no—
551C4×Dic61—22no—
552C4×Dic61—22no—
553C4×Dic61—41no—
554C4×Dic61—41no—
555C4×Dic61—41no—
556C4×Dic61—41no—
557C4×Dic61—41no—
558C23×C61—21no—
559C23×C61—21no—
560C23×C61—21no—
561C23×C61—21no—
562C23×C61—21no—
563C23×C61—21no—
564C23×C61—21no—
565C23×C61—21no—
566C23×C61—21no—
567C23×C61—21no—
568C23×C61—21no—
569C23×C61C2×#4112yes—
570C23×C61H(5,𝔽2)12yes—
571C23×C61H(5,𝔽2)12yes—
572C23×C61C2511yescharacteristic
573C22×D61—21no—
574C22×D61—21no—
575C22×D61—21no—
576C22×D61—21no—
577C22×D61—21no—
578C22×D61—21no—
579C22×D61—21no—
580C22×D61—21no—
581C22×D61—21no—
582C22×D61—21no—
583C22×D61—21no—
584C22×D61—21no—
585C22×D61—28no—
586C22×D61—21no—
587C22×D61—21no—
588C22×D61—21no—
589C22×D61—21no—
590C22×D61—21no—
591C22×D61—21no—
592C22×D61—21no—
593C22×D61—21no—
594C22×D61—21no—
595C22×D61—21no—
596C22×D61—21no—
597C22×D61—21no—
598C22×D61—21no—
599C22×D61—21no—
600C22×D61—44no—
601C22×D61—44no—
602C22×D61—44no—
603C22×D61—82no—
604C22×D61—82no—
605C22×D61—82no—
606C22×D61—82no—
607C22×D61—82no—
608C22×D61—82no—
609C22×D61—82no—
610C22×D61—82no—
611C22×D61—82no—
612C22×D61—82no—
613C22×D61C2×#4112yes—
614C22×D61C2×#4112yes—
615D4×C61—44no—
616C2×C4×C61—21no—
617C2×C4×C61—21no—
618C2×C4×C61—21no—
619C2×C4×C61—21no—
620C2×C4×C61—21no—
621C2×C4×C61—21no—
622C2×C4×C61—21no—
623C2×C4×C61—21no—
624C2×C4×C61—21no—
625C2×C4×C61—21no—
626C2×C4×C61—21no—
627C2×C4×C61—21no—
628C2×C4×C61—21no—
629C2×C4×C61—21no—
630C2×C4×C61—21no—
631C2×C4×C61—21no—
632C2×C4×C61—21no—
633C2×C4×C61—21no—
634C2×C4×C61—21no—
635C2×C4×C61—21no—
636C2×C4×C61—21no—
637C2×C4×C61—21no—
638C2×C4×C61—21no—
639C2×C4×C61—21no—
640C2×C4×C61—21no—
641C2×C4×C61—21no—
642C2×C4×C61—21no—
643C2×C4×C61—21no—
644C2×C4×C61—21no—
645C2×C4×C61—21no—
646C2×C4×C61—21no—
647C2×C4×C61—21no—
648C2×C4×C61—21no—
649C2×C4×C61—21no—
650C2×C4×C61—21no—
651C2×C4×C61—21no—
652C2×C4×C61—21no—
653C2×C4×C61—21no—
654C2×C4×C61—21no—
655C2×C4×C61—44no—
656C2×C4×C61—44no—
657C2×C4×C61—82no—
658C22⋊D61—44no—
659C22⋊D61—44no—
660C22⋊D61—44no—
661C22⋊D61—82no—
662C2×Dic61—21no—
663C2×Dic61—21no—
664C2×Dic61—21no—
665C2×Dic61—21no—
666C2×Dic61—21no—
667C2×Dic61—21no—
668C2×Dic61—21no—
669C2×Dic61—21no—
670C2×Dic61—21no—
671C2×Dic61—21no—
672C2×Dic61—21no—
673C2×Dic61—21no—
674C2×Dic61—21no—
675C2×Dic61—21no—
676C2×Dic61—21no—
677C2×Dic61—21no—
678C2×Dic61—21no—
679C2×Dic61—21no—
680C2×Dic61—21no—
681C2×Dic61—21no—
682C2×Dic61—21no—
683C2×Dic61—21no—
684C2×Dic61—21no—
685C2×Dic61—21no—
686C2×Dic61—21no—
687C2×Dic61—21no—
688C2×Dic61—21no—
689C2×Dic61—21no—
690C2×Dic61—21no—
691C2×Dic61—21no—
692C2×Dic61—21no—
693C2×Dic61—21no—
694C2×Dic61—21no—
695C2×Dic61—21no—
696C2×Dic61—21no—
697C2×Dic61—44no—
698C2×Dic61—44no—
699C2×Dic61—82no—
700C2×Dic61H(5,𝔽2)12yes—
701D244—44no—
702D244—82no—
703D244—82no—
704D244—82no—
705C4×D61—44no—
706C4×D61—82no—
707C4×D61—82no—
708C4×D61—82no—
709Dic122—82no—
710#36779—611nomaximal, Sylow
711C22×C61—22no—
712C22×C61—22no—
713C22×C61—22no—
714C22×C61—22no—
715C22×C61—22no—
716C22×C61—22no—
717C22×C61—41no—
718C22×C61—41no—
719C22×C61—41no—
720C22×C61—41no—
721C22×C61—41no—
722C22×C61—41no—
723C22×C61—41no—
724C22×C61#53814yes—
725C22×C61C22×#4111yescharacteristic
726C22×C61C2×H(5,𝔽2)11yescharacteristic
727C22×C61C2×H(5,𝔽2)11yescharacteristic
728C22×C61C2×H(5,𝔽2)11yescharacteristic
729C22×C61#58511yescharacteristic
730C22×C61#58511yescharacteristic
731C22×C61#58511yescharacteristic
732C2×D61—22no—
733C2×D61—22no—
734C2×D61—22no—
735C2×D61—22no—
736C2×D61—22no—
737C2×D61—22no—
738C2×D61—41no—
739C2×D61—41no—
740C2×D61—41no—
741C2×D61—41no—
742C2×D61—41no—
743C2×D61—41no—
744C2×D61—41no—
745C2×D61—41no—
746C2×D61—41no—
747C2×D61—41no—
748C2×D61—41no—
749C2×D61—41no—
750C2×D61—41no—
751C2×D61—41no—
752C2×D61—41no—
753C2×D61—41no—
754C2×D61—41no—
755C2×D61—41no—
756C2×D61—41no—
757C2×D61—41no—
758C2×D61—41no—
759C2×D61—41no—
760C2×D61—88no—
761C2×D61—88no—
762C4×C61—41no—
763C4×C61—41no—
764C4×C61—41no—
765C4×C61—41no—
766C4×C61—41no—
767C4×C61—41no—
768C4×C61—41no—
769C4×C61—41no—
770C4×C61—41no—
771C4×C61—41no—
772C4×C61—41no—
773C4×C61—41no—
774C4×C61—41no—
775Dic61—22no—
776Dic61—41no—
777Dic61—41no—
778Dic61—41no—
779Dic61—41no—
780Dic61—41no—
781Dic61—41no—
782Dic61—41no—
783Dic61—41no—
784Dic61—41no—
785Dic61—41no—
786Dic61—41no—
787#2852—611no—
788#2850—611no—
789#2781—611no—
790#2781—611no—
791#2778—611no—
792#2765—611no—
793#2764—611no—
794#2761—611no—
795#2756—611no—
796#2749—611no—
797#2743—611no—
798#2741—611no—
799#2735—611no—
800#2735—611no—
801#2730—611no—
802#2702—611no—
803#2685—611no—
804#2684—611no—
805#2623D6111yescharacteristic, complemented
806#2618—611no—
807#2510—611no—
808#2488—611no—
809#2444—611no—
810#2437—611no—
811#2425—611no—
812#2412—611no—
813#2410—611no—
814#2405—611no—
815#2321—611no—
816#2308—611no—
817C2×#388—611no—
818C2×C61—24no—
819C2×C61—81no—
820C2×C61C2×#53811yescharacteristic
821C2×C61#349111yescharacteristic
822C2×C61#350511yescharacteristic
823C2×C61#353411yescharacteristic
824C2×C61#354211yescharacteristic
825C2×C61#354511yescharacteristic
826C2×C61#356011yescharacteristic
827D61—42no—
828D61—42no—
829D61—81no—
830D61—81no—
831C23×D4—611no—
832C2×#126—611no—
833C2×#124—611no—
834C2×#123—611no—
835C2×#123—611no—
836C2×#123C2×D6111yescharacteristic
837C2×C22⋊Q8—611no—
838C2×C22⋊Q8—611no—
839C2×#121—611no—
840C2×#121—611no—
841C2×#120—611no—
842C2×#120—611no—
843C2×C4×D4—611no—
844C22×C4⋊C4C2×D6111yescharacteristic, complemented
845C22×C22⋊C4—611no—
846C22×C22⋊C4—611no—
847C22×C22⋊C4—611no—
848C22×C22⋊C4—611no—
849C22×C42—611no—
850#401—611no—
851#400—611no—
852#400—611no—
853#400—611no—
854#400—611no—
855#400C2×D6111yescharacteristic, complemented
856#400C2×D6111yescharacteristic, complemented
857#399—611no—
858#399C2×D6111yescharacteristic, complemented
859#399C2×D6111yescharacteristic, complemented
860#398—611no—
861#398—611no—
862#398—611no—
863#398C2×D6111yescharacteristic, complemented
864#398C2×D6111yescharacteristic, complemented
865#397—611no—
866#397—611no—
867#397—611no—
868#397—611no—
869#397—611no—
870#397—611no—
871#397—611no—
872#397—611no—
873#397C2×D6111yescharacteristic, complemented
874#397C2×D6111yescharacteristic, complemented
875#396—611no—
876#396—611no—
877#396—611no—
878#396—611no—
879#396—611no—
880#396—611no—
881#396—611no—
882#394—611no—
883#394—611no—
884#394—611no—
885#394—611no—
886#394—611no—
887#394—611no—
888#394—611no—
889#394—611no—
890#394—611no—
891#394—611no—
892#394—611no—
893#394—611no—
894#393—611no—
895#393—611no—
896#392—611no—
897#392—611no—
898#391—611no—
899#391—611no—
900#390—611no—
901#390—611no—
902#390—611no—
903#389—611no—
904#388—611no—
905#388—611no—
906#388—611no—
907#388—611no—
908#388—611no—
909#388—611no—
910#388—611no—
911#388—611no—
912#388—611no—
913#388—611no—
914#388—611no—
915#388—611no—
916#388—611no—
917#388—611no—
918#388—611no—
919#388—611no—
920#388—611no—
921#388—611no—
922#388—611no—
923#388—611no—
924#388—611no—
925#388—611no—
926#388—611no—
927#388—611no—
928#388—611no—
929#387—611no—
930#387—611no—
931#387—611no—
932#387—611no—
933#387—611no—
934#386—611no—
935#386—611no—
936#386—611no—
937#386—611no—
938#386—611no—
939#386—611no—
940#386—611no—
941#386—611no—
942#386—611no—
943#386—611no—
944#386—611no—
945#386—611no—
946#386—611no—
947#386—611no—
948#386—611no—
949#386—611no—
950#386—611no—
951#386—611no—
952#386—611no—
953#386C2×D6111yescharacteristic
954#386C2×D6111yescharacteristic
955#385—611no—
956#385—611no—
957#385—611no—
958#385—611no—
959#385—611no—
960#385—611no—
961#385—611no—
962#385C2×D6111yescharacteristic, complemented
963#385C2×D6111yescharacteristic, complemented
964#383—611no—
965#383—611no—
966#382—611no—
967#382—611no—
968#381—611no—
969#381—611no—
970#381—611no—
971#381C2×D6111yescharacteristic, complemented
972#380—611no—
973#380—611no—
974#380—611no—
975#380—611no—
976#380—611no—
977#379—611no—
978#379—611no—
979#379—611no—
980#379—611no—
981#379—611no—
982#379—611no—
983C4×C22⋊C4—611no—
984C2×#95—611no—
985C2×#95—611no—
986C61#3677911yescharacteristic, complemented, Sylow
987C25—611no—
988C25—611no—
989C22×Q8—611no—
990C22×D4—611no—
991C22×D4—611no—
992C22×D4—611no—
993C22×D4—611no—
994C22×D4—611no—
995C22×D4—611no—
996C22×D4—611no—
997C22×D4—611no—
998C22×D4—1224no—
999C22×D4—2442no—
1000C22×D4—2442no—
1001C22×D4C22×D6111yescharacteristic
1002C23×C4—611no—
1003C23×C4—611no—
1004C23×C4—611no—
1005C23×C4—611no—
1006C23×C4—611no—
1007C23×C4—611no—
1008C23×C4—611no—
1009C23×C4C22×D6111yescharacteristic
1010C23×C4C22×D6111yescharacteristic
1011C23×C4C22×D6111yescharacteristic
1012#126—2442no—
1013#124—2442no—
1014#123—42no—
1015#123—2442no—
1016#123—2442no—
1017C22⋊Q8—2442no—
1018C22⋊Q8—2442no—
1019#121—2442no—
1020#121—2442no—
1021#120—1224no—
1022#120—2442no—
1023C4×D4—2442no—
1024C2×C4⋊C4—42no—
1025C2×C4⋊C4—611no—
1026C2×C4⋊C4—611no—
1027C2×C4⋊C4—611no—
1028C2×C4⋊C4—611no—
1029C2×C4⋊C4—611no—
1030C2×C4⋊C4—611no—
1031C2×C4⋊C4—611no—
1032C2×C4⋊C4—611no—
1033C2×C4⋊C4—611no—
1034C2×C4⋊C4—611no—
1035C2×C4⋊C4—611no—
1036C2×C4⋊C4—611no—
1037C2×C4⋊C4—611no—
1038C2×C4⋊C4—611no—
1039C2×C4⋊C4—611no—
1040C2×C4⋊C4—611no—
1041C2×C4⋊C4C22×D6111yescharacteristic
1042C2×C4⋊C4C22×D6111yescharacteristic
1043C2×C4⋊C4C22×D6111yescharacteristic
1044C2×C4⋊C4C22×D6111yescharacteristic
1045C2×C4⋊C4C22×D6111yescharacteristic
1046C2×C4⋊C4C22×D6111yescharacteristic
1047C2×C4⋊C4C22×D6111yescharacteristic
1048C2×C4⋊C4C22×D6111yescharacteristic
1049C2×C4⋊C4C22×D6111yescharacteristic
1050C2×C4⋊C4C22×D6111yescharacteristic
1051C2×C22⋊C4—611no—
1052C2×C22⋊C4—611no—
1053C2×C22⋊C4—611no—
1054C2×C22⋊C4—611no—
1055C2×C22⋊C4—611no—
1056C2×C22⋊C4—611no—
1057C2×C22⋊C4—611no—
1058C2×C22⋊C4—611no—
1059C2×C22⋊C4—611no—
1060C2×C22⋊C4—611no—
1061C2×C22⋊C4—611no—
1062C2×C22⋊C4—611no—
1063C2×C22⋊C4—611no—
1064C2×C22⋊C4—611no—
1065C2×C22⋊C4—611no—
1066C2×C22⋊C4—611no—
1067C2×C22⋊C4—611no—
1068C2×C22⋊C4—611no—
1069C2×C22⋊C4—611no—
1070C2×C22⋊C4—611no—
1071C2×C22⋊C4—611no—
1072C2×C22⋊C4—611no—
1073C2×C22⋊C4—611no—
1074C2×C22⋊C4—611no—
1075C2×C22⋊C4—611no—
1076C2×C22⋊C4—611no—
1077C2×C22⋊C4—611no—
1078C2×C22⋊C4—611no—
1079C2×C22⋊C4—611no—
1080C2×C22⋊C4—611no—
1081C2×C22⋊C4—611no—
1082C2×C22⋊C4—611no—
1083C2×C22⋊C4—611no—
1084C2×C22⋊C4—611no—
1085C2×C22⋊C4—611no—
1086C2×C22⋊C4—611no—
1087C2×C22⋊C4—611no—
1088C2×C22⋊C4—611no—
1089C2×C22⋊C4—611no—
1090C2×C22⋊C4—611no—
1091C2×C22⋊C4—611no—
1092C2×C22⋊C4—611no—
1093C2×C22⋊C4—611no—
1094C2×C22⋊C4—611no—
1095C2×C22⋊C4—611no—
1096C2×C22⋊C4—611no—
1097C2×C22⋊C4—611no—
1098C2×C22⋊C4—1224no—
1099C2×C22⋊C4—2442no—
1100C2×C22⋊C4—2442no—
1101C2×C22⋊C4—2442no—
1102C2×C22⋊C4C22×D6111yescharacteristic
1103C2×C22⋊C4C22×D6111yescharacteristic
1104C2×C22⋊C4C22×D6111yescharacteristic
1105C2×C22⋊C4C22×D6111yescharacteristic
1106C2×C22⋊C4C22×D6111yescharacteristic
1107C2×C22⋊C4C22×D6111yescharacteristic
1108C2×C22⋊C4C22×D6111yescharacteristic
1109C2×C22⋊C4C22×D6111yescharacteristic
1110C2×C22⋊C4C22×D6111yescharacteristic
1111C2×C42—611no—
1112C2×C42—611no—
1113C2×C42—611no—
1114C2×C42—611no—
1115C2×C42—611no—
1116C2×C42—611no—
1117C2×C42—611no—
1118C2×C42—2442no—
1119#95—611no—
1120#95—611no—
1121#95—611no—
1122#95—611no—
1123#95—611no—
1124#95—611no—
1125#95—611no—
1126#95—611no—
1127#95—611no—
1128#95—611no—
1129#95—611no—
1130#95—611no—
1131#95—611no—
1132#95—611no—
1133#95—611no—
1134#95—611no—
1135#95—611no—
1136#95—611no—
1137#95—611no—
1138#95—611no—
1139#95—611no—
1140#95—611no—
1141#95—611no—
1142#95—611no—
1143#95—611no—
1144#95—611no—
1145#95—611no—
1146#95—611no—
1147#95—611no—
1148#95—611no—
1149#95—611no—
1150#95—611no—
1151#95C22×D6111yescharacteristic
1152#95C22×D6111yescharacteristic
1153#95C22×D6111yescharacteristic
1154#95C22×D6111yescharacteristic
1155#95C22×D6111yescharacteristic
1156#95C22×D6111yescharacteristic
1157#95C22×D6111yescharacteristic
1158#95C22×D6111yescharacteristic
1159#95C22×D6111yescharacteristic
1160#95C22×D6111yescharacteristic
1161#95C22×D6111yescharacteristic
1162#95C22×D6111yescharacteristic
1163C24—611no—
1164C24—611no—
1165C24—614no—
1166C24—611no—
1167C24—611no—
1168C24—1222no—
1169C24—1222no—
1170C24—1222no—
1171C24—2441no—
1172C24—2441no—
1173C24—2441no—
1174C24—2441no—
1175C24—2441no—
1176C24—2441no—
1177C24—2441no—
1178C24—2441no—
1179C24—2441no—
1180C24—2441no—
1181C24C23×D6111yescharacteristic
1182C24C23×D6111yescharacteristic
1183C2×Q8—1222no—
1184C2×Q8—2441no—
1185C2×Q8—2441no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—1222no—
1190C2×D4—1222no—
1191C2×D4—1222no—
1192C2×D4—1222no—
1193C2×D4—1222no—
1194C2×D4—1222no—
1195C2×D4—1222no—
1196C2×D4—1222no—
1197C2×D4—1222no—
1198C2×D4—1222no—
1199C2×D4—1222no—
1200C2×D4—2441no—
1201C2×D4—2441no—
1202C2×D4—2441no—
1203C2×D4—2441no—
1204C2×D4—2441no—
1205C2×D4—2441no—
1206C2×D4—2441no—
1207C2×D4—2441no—
1208C2×D4—2441no—
1209C2×D4—2441no—
1210C2×D4—2441no—
1211C2×D4—2441no—
1212C2×D4—2441no—
1213C2×D4—24416no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—611no—
1224C22×C4—611no—
1225C22×C4—611no—
1226C22×C4—611no—
1227C22×C4—611no—
1228C22×C4—611no—
1229C22×C4—611no—
1230C22×C4—611no—
1231C22×C4—611no—
1232C22×C4—611no—
1233C22×C4—611no—
1234C22×C4—611no—
1235C22×C4—1222no—
1236C22×C4—1222no—
1237C22×C4—1222no—
1238C22×C4—1222no—
1239C22×C4—1222no—
1240C22×C4—2441no—
1241C22×C4—2441no—
1242C22×C4—2441no—
1243C22×C4—2441no—
1244C22×C4—2441no—
1245C22×C4—2441no—
1246C22×C4—2441no—
1247C22×C4—2441no—
1248C22×C4—2441no—
1249C22×C4—2441no—
1250C22×C4—2441no—
1251C22×C4—2441no—
1252C22×C4—2441no—
1253C22×C4—2441no—
1254C22×C4—2441no—
1255C22×C4—2441no—
1256C22×C4C23×D6111yescharacteristic
1257C22×C4C23×D6111yescharacteristic
1258C22×C4C23×D6111yescharacteristic
1259C22×C4C23×D6111yescharacteristic
1260C22×C4C23×D6111yescharacteristic
1261C22×C4C23×D6111yescharacteristic
1262C22×C4C23×D6111yescharacteristic
1263C22×C4C23×D6111yescharacteristic
1264C22×C4C23×D6111yescharacteristic
1265C22×C4C23×D6111yescharacteristic
1266C22×C4C23×D6111yescharacteristic
1267C22×C4C23×D6111yescharacteristic
1268C22×C4C23×D6111yescharacteristic
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—1222no—
1280C4⋊C4—2441no—
1281C4⋊C4—2441no—
1282C4⋊C4—2441no—
1283C4⋊C4—2441no—
1284C4⋊C4—2441no—
1285C4⋊C4—2441no—
1286C4⋊C4—2441no—
1287C4⋊C4—2441no—
1288C4⋊C4—2441no—
1289C4⋊C4—2441no—
1290C4⋊C4—2441no—
1291C4⋊C4—2441no—
1292C4⋊C4—2441no—
1293C4⋊C4—2441no—
1294C4⋊C4—2441no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—1222no—
1305C22⋊C4—1222no—
1306C22⋊C4—1222no—
1307C22⋊C4—1222no—
1308C22⋊C4—1222no—
1309C22⋊C4—1222no—
1310C22⋊C4—1222no—
1311C22⋊C4—1222no—
1312C22⋊C4—1222no—
1313C22⋊C4—1222no—
1314C22⋊C4—1222no—
1315C22⋊C4—2441no—
1316C22⋊C4—2441no—
1317C22⋊C4—2441no—
1318C22⋊C4—2441no—
1319C22⋊C4—2441no—
1320C22⋊C4—2441no—
1321C22⋊C4—2441no—
1322C22⋊C4—2441no—
1323C22⋊C4—2441no—
1324C22⋊C4—2441no—
1325C22⋊C4—2441no—
1326C22⋊C4—2441no—
1327C22⋊C4—2441no—
1328C22⋊C4—2441no—
1329C22⋊C4—2441no—
1330C22⋊C4—2441no—
1331C22⋊C4—2441no—
1332C22⋊C4—2441no—
1333C22⋊C4—2441no—
1334C22⋊C4—2441no—
1335C22⋊C4—2441no—
1336C22⋊C4—2441no—
1337C22⋊C4—2441no—
1338C22⋊C4—2441no—
1339C22⋊C4—2441no—
1340C22⋊C4—2441no—
1341C22⋊C4—2441no—
1342C22⋊C4—2441no—
1343C22⋊C4—2441no—
1344C22⋊C4—2441no—
1345C22⋊C4—2441no—
1346C22⋊C4—2441no—
1347C22⋊C4—2441no—
1348C22⋊C4—2441no—
1349C22⋊C4—2441no—
1350C22⋊C4—2441no—
1351C42—1222no—
1352C42—1222no—
1353C42—2441no—
1354C42—2441no—
1355C42—2441no—
1356C42—2441no—
1357C42—2441no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—612no—
1370C23—612no—
1371C23—1228no—
1372C23—1221no—
1373C23—1221no—
1374C23—1221no—
1375C23—1221no—
1376C23—1221no—
1377C23—1221no—
1378C23—1221no—
1379C23—1221no—
1380C23—1221no—
1381C23—1221no—
1382C23—1221no—
1383C23—1221no—
1384C23—1221no—
1385C23—1221no—
1386C23—1221no—
1387C23—1221no—
1388C23—1221no—
1389C23—1221no—
1390C23—1221no—
1391C23—1221no—
1392C23—1221no—
1393C23—1221no—
1394C23—1221no—
1395C23—1221no—
1396C23—1221no—
1397C23—1221no—
1398C23—4882no—
1399C23—4882no—
1400C23—4882no—
1401C23—4882no—
1402C23—4882no—
1403C23—4882no—
1404C23—4882no—
1405C23—4882no—
1406C23—4882no—
1407C23—4882no—
1408C23—2444no—
1409C23—2444no—
1410C23—2444no—
1411C23#41×D6112yes—
1412C23#1451982212yes—
1413C23#1451982312yes—
1414C23C24×D6111yescharacteristic
1415Q8—4882no—
1416D4—44no—
1417D4—4882no—
1418D4—4882no—
1419D4—4882no—
1420D4—4882no—
1421D4—2444no—
1422D4—2444no—
1423D4—2444no—
1424D4—2444no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—82no—
1467C2×C4—612no—
1468C2×C4—1221no—
1469C2×C4—1221no—
1470C2×C4—1221no—
1471C2×C4—1221no—
1472C2×C4—1221no—
1473C2×C4—1221no—
1474C2×C4—1221no—
1475C2×C4—1221no—
1476C2×C4—1221no—
1477C2×C4—1221no—
1478C2×C4—1221no—
1479C2×C4—1221no—
1480C2×C4—1221no—
1481C2×C4—1221no—
1482C2×C4—1221no—
1483C2×C4—1221no—
1484C2×C4—1221no—
1485C2×C4—1221no—
1486C2×C4—1221no—
1487C2×C4—1221no—
1488C2×C4—1221no—
1489C2×C4—1221no—
1490C2×C4—1221no—
1491C2×C4—1221no—
1492C2×C4—1221no—
1493C2×C4—1221no—
1494C2×C4—1221no—
1495C2×C4—1221no—
1496C2×C4—1221no—
1497C2×C4—1221no—
1498C2×C4—1221no—
1499C2×C4—1221no—
1500C2×C4—1221no—
1501C2×C4—1221no—
1502C2×C4—1221no—
1503C2×C4—4882no—
1504C2×C4—4882no—
1505C2×C4—4882no—
1506C2×C4—4882no—
1507C2×C4—2444no—
1508C2×C4—2444no—
1509C2×C4—2444no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—1222no—
1524C22—1222no—
1525C22—1222no—
1526C22—1222no—
1527C22—1222no—
1528C22—1222no—
1529C22—4888no—
1530C22—4888no—
1531C22—2441no—
1532C22—2441no—
1533C22—2441no—
1534C22—2441no—
1535C22—2441no—
1536C22—2441no—
1537C22—2441no—
1538C22—2441no—
1539C22—2441no—
1540C22—2441no—
1541C22—2441no—
1542C22—2441no—
1543C22—2441no—
1544C22—2441no—
1545C22—2441no—
1546C22—2441no—
1547C22—2441no—
1548C22—2441no—
1549C22—2441no—
1550C22—2441no—
1551C22—2441no—
1552C22—2441no—
1553C22#1684034814yes—
1554C22C2×#41×D6111yescharacteristic
1555C22H(5,𝔽2)×D6111yescharacteristic
1556C22C2×#1451982211yescharacteristic
1557C22C2×#1451982311yescharacteristic
1558C22#1684059711yescharacteristic
1559C22#1684059911yescharacteristic
1560C22#1684059911yescharacteristic
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—1222no—
1575C4—2441no—
1576C4—2441no—
1577C4—2441no—
1578C4—2441no—
1579C4—2441no—
1580C4—2441no—
1581C4—2441no—
1582C4—2441no—
1583C4—2441no—
1584C4—2441no—
1585C4—2441no—
1586C2—24no—
1587C2—81no—
1588C2—4881no—
1589C2—4881no—
1590C2—2442no—
1591C2—2442no—
1592C2C2×#1684034811yescharacteristic
1593C2#2145951311yescharacteristic
1594C2#2145965111yescharacteristic
1595C2#2146001411yescharacteristic
1596C2#2146012211yescharacteristic
1597C2#2146017311yescharacteristic
1598C2#2146037611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutator, socle, cosocleC23×C61C25
FittingC61×#2623C2
prime radical#21449192C2
hypercenter#2623D61
hypocenterC61#36779
LCSG ▷ C23×C61 ▷ C61
UCSC1 ◁ C23 ◁ #2623

Complements

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

NH ≅ G/Ntype
1. #21454136C2semidirect
2. #21454116C2semidirect
3. #21453489C2semidirect
4. #21453487C2semidirect
5. #21453443C2semidirect
6. #21453253C2semidirect
7. #21453243C2semidirect
8. #21453199C2semidirect
9. #21453147C2semidirect
10. #21453047C2semidirect
11. #21452957C2semidirect
12. #21452933C2semidirect
13. #21452861C2semidirect
14. #21452859C2semidirect
15. #21452823C2semidirect
16. #21452446C2semidirect
17. #21452203C2semidirect
18. #21452201C2semidirect
19. #21451561C2semidirect
20. #21450383C2semidirect
21. #21450141C2semidirect
22. #21449573C2semidirect
23. #21449483C2semidirect
24. #21449366C2semidirect
25. #21449217C2semidirect
27. #21449143C2semidirect
28. #21448476C2semidirect
29. #21448393C2semidirect
30. C2×#16839652C2semidirect
31. C61×#2623C2semidirect
33. C2×#14519772C22semidirect
34. C2×#14519763C22semidirect
36. C2×#14519760C22semidirect
37. C2×#14519757C22semidirect
38. C2×#14519754C22semidirect
43. C2×#14519737C22semidirect
48. C22×C4×Dic61C22semidirect
49. C61⋊#401C22semidirect
50. #16839704C22semidirect
51. #16839704C22semidirect
52. #16839704C22semidirect
53. #16839703C22semidirect
55. #16839693C22semidirect
56. #16839692C22semidirect
57. #16839692C22semidirect
60. #16839691C22semidirect
61. #16839691C22semidirect
62. #16839690C22semidirect
63. #16839688C22semidirect
64. #16839688C22semidirect
65. #16839687C22semidirect
66. #16839685C22semidirect
69. #16839684C22semidirect
70. #16839684C22semidirect
71. #16839684C22semidirect
72. #16839684C22semidirect
78. #16839679C22semidirect
79. #16839679C22semidirect
80. #16839679C22semidirect
82. #16839678C22semidirect
86. #16839675C22semidirect
89. #16839666C22semidirect
90. #16839666C22semidirect
92. #16839663C22semidirect
93. #16839662C22semidirect
94. #16839658C22semidirect
95. #16839656C22semidirect
96. #16839655C22semidirect
97. #16839655C22semidirect
98. #16839654C22semidirect
99. #16839654C22semidirect
100. #16839654C22semidirect
106. #16839652C22semidirect
107. #16839652C22semidirect
108. #16839652C22semidirect
109. #16839652C22semidirect
110. #16839652C22semidirect
111. #16839652C22semidirect
112. #16839652C22semidirect
114. #16839651C22semidirect
115. #16839651C22semidirect
116. #16839651C22semidirect
117. #16839651C22semidirect
118. #16839650C22semidirect
119. #16839650C22semidirect
120. #16839648C22semidirect
121. #16839648C22semidirect
122. #16839647C22semidirect
123. #16839645C22semidirect
124. #16839643C22semidirect
128. #16839641C22semidirect
133. #16839640C22semidirect
134. #16839640C22semidirect
135. #16839640C22semidirect
136. #16839640C22semidirect
140. #16839639C22semidirect
143. #16839638C22semidirect
144. #16839637C22semidirect
146. #16839636C22semidirect
147. #16839636C22semidirect
148. #16839634C22semidirect
151. #16839629C22semidirect
152. #16839629C22semidirect
153. #16839626C22semidirect
154. #16839626C22semidirect
157. #16839624C22semidirect
158. #16839622C22semidirect
159. #16839621C22semidirect
160. #16839621C22semidirect
161. #16839619C22semidirect
162. #16839619C22semidirect
169. C22⋊C4×Dic61C22semidirect
170. C2×#14519684C22semidirect
171. C2×#14519684C22semidirect
173. C22×C4⋊C4×C61C22semidirect
174. C61×#400C22semidirect
175. C61×#400C22semidirect
176. C61×#399C22semidirect
177. C61×#399C22semidirect
178. C61×#398C22semidirect
179. C61×#398C22semidirect
180. C61×#397C22semidirect
181. C61×#397C22semidirect
184. C61×#385C22semidirect
185. C61×#385C22semidirect
186. C61×#381C22semidirect
805. #2623D61semidirect
844. C22×C4⋊C4C2×D61semidirect
855. #400C2×D61semidirect
856. #400C2×D61semidirect
858. #399C2×D61semidirect
859. #399C2×D61semidirect
863. #398C2×D61semidirect
864. #398C2×D61semidirect
873. #397C2×D61semidirect
874. #397C2×D61semidirect
962. #385C2×D61semidirect
963. #385C2×D61semidirect
971. #381C2×D61semidirect
986. C61#36779semidirect

Maximal subgroups

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

subgroupindex
#214541362
#214541162
#214534892
#214534872
#214534432
#214532532
#214532432
#214531992
#214531472
#214530472
#214529572
#214529332
#214528612
#214528592
#214528232
#214524462
#214522032
#214522012
#214515612
#214503832
#214501412
#214495732
#214494832
#214493662
#214492172
#214491922
#214491432
#214484762
#214483932
C2×#168396522
C61×#26232
#3677961