Finite Group Databasebeta

← #29844365

Subgroups — #29844365

Order 15616.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21449005C211yesmaximal, characteristic, complemented
2#21448976C211yesmaximal, characteristic, complemented
3#21448976C211yesmaximal, characteristic, complemented
4#21448967C211yesmaximal, characteristic, complemented
5#21448955C211yesmaximal, characteristic, complemented
6#21448925C211yesmaximal, characteristic, complemented
7#21448871C211yesmaximal, characteristic, complemented
8#21448871C211yesmaximal, characteristic, complemented
9#21448861C211yesmaximal, characteristic, complemented
10#21448839C211yesmaximal, characteristic, complemented
11#21448815C211yesmaximal, characteristic, complemented
12#21448815C211yesmaximal, characteristic, complemented
13#21448759C211yesmaximal, characteristic, complemented
14#21448748C211yesmaximal, characteristic, complemented
15#21448704C211yesmaximal, characteristic, complemented
16#21448679C211yesmaximal, characteristic, complemented
17#21448613C211yesmaximal, characteristic, complemented
18#21448613C211yesmaximal, characteristic, complemented
19#21448586C211yesmaximal, characteristic, complemented
20#21448586C211yesmaximal, characteristic, complemented
21#21448545C211yesmaximal, characteristic, complemented
22#21448545C211yesmaximal, characteristic, complemented
23#21448524C211yesmaximal, characteristic, complemented
24#21448524C211yesmaximal, characteristic, complemented
25#21448514C211yesmaximal, characteristic, complemented
26#21448491C211yesmaximal, characteristic, complemented
27#21448452C211yesmaximal, characteristic, complemented
28#123×Dic61C211yesmaximal, characteristic, complemented
29#121×Dic61C211yesmaximal, characteristic, complemented
30#21448264C211yesmaximal, characteristic, complemented
31C2×C61×#540C211yesmaximal, characteristic
32C2×D4×Dic61C2211yescharacteristic
33C2×D4×Dic61C2211yescharacteristic
34C2×D4×Dic61C2211yescharacteristic
35C2×D4×Dic61C2211yescharacteristic
36C2×D4×Dic61C2211yescharacteristic
37C2×D4×Dic61C2211yescharacteristic
38C2×D4×Dic61C2211yescharacteristic
39C2×D4×Dic61C2211yescharacteristic
40C2×#14519736C2211yescharacteristic
41C2×#14519736C2211yescharacteristic
42C22×C4⋊Dic61C2211yescharacteristic
43C22×C4×Dic61C2211yescharacteristic
44#16839665C2211yescharacteristic
45#16839665C2211yescharacteristic
46#16839665C2211yescharacteristic
47#16839665C2211yescharacteristic
48#16839665C2211yescharacteristic
49#16839665C2211yescharacteristic
50#16839665C2211yescharacteristic
51#16839665C2211yescharacteristic
52#16839661C2211yescharacteristic
53#16839661C2211yescharacteristic
54#16839661C2211yescharacteristic
55#16839661C2211yescharacteristic
56#16839661C2211yescharacteristic
57#16839661C2211yescharacteristic
58#16839655C2211yescharacteristic
59#16839655C2211yescharacteristic
60#16839655C2211yescharacteristic
61#16839655C2211yescharacteristic
62#16839655C2211yescharacteristic
63#16839655C2211yescharacteristic
64#16839655C2211yescharacteristic
65#16839655C2211yescharacteristic
66#16839655C2211yescharacteristic
67#16839655C2211yescharacteristic
68#16839655C2211yescharacteristic
69#16839655C2211yescharacteristic
70#16839655C2211yescharacteristic
71#16839655C2211yescharacteristic
72#16839655C2211yescharacteristic
73#16839655C2211yescharacteristic
74#16839655C2211yescharacteristic
75#16839655C2211yescharacteristic
76#16839655C2211yescharacteristic
77#16839655C2211yescharacteristic
78#16839648C2211yescharacteristic
79#16839648C2211yescharacteristic
80#16839648C2211yescharacteristic
81#16839648C2211yescharacteristic
82#16839648C2211yescharacteristic
83#16839648C2211yescharacteristic
84#16839648C2211yescharacteristic
85#16839648C2211yescharacteristic
86#16839648C2211yescharacteristic
87#16839648C2211yescharacteristic
88#16839648C2211yescharacteristic
89#16839648C2211yescharacteristic
90#16839648C2211yescharacteristic
91#16839648C2211yescharacteristic
92#16839648C2211yescharacteristic
93#16839648C2211yescharacteristic
94#16839648C2211yescharacteristic
95#16839648C2211yescharacteristic
96#16839648C2211yescharacteristic
97#16839648C2211yescharacteristic
98#16839642C2211yescharacteristic
99#16839642C2211yescharacteristic
100#16839642C2211yescharacteristic
101#16839642C2211yescharacteristic
102#16839642C2211yescharacteristic
103#16839642C2211yescharacteristic
104#16839642C2211yescharacteristic
105#16839642C2211yescharacteristic
106#16839642C2211yescharacteristic
107#16839642C2211yescharacteristic
108#16839642C2211yescharacteristic
109#16839642C2211yescharacteristic
110#16839642C2211yescharacteristic
111#16839642C2211yescharacteristic
112#16839642C2211yescharacteristic
113#16839642C2211yescharacteristic
114#16839642C2211yescharacteristic
115#16839642C2211yescharacteristic
116#16839642C2211yescharacteristic
117#16839642C2211yescharacteristic
118#16839642C2211yescharacteristic
119#16839642C2211yescharacteristic
120#16839642C2211yescharacteristic
121#16839642C2211yescharacteristic
122#16839637C2211yescharacteristic
123#16839637C2211yescharacteristic
124#16839637C2211yescharacteristic
125#16839637C2211yescharacteristic
126#16839637C2211yescharacteristic
127#16839637C2211yescharacteristic
128#16839637C2211yescharacteristic
129#16839637C2211yescharacteristic
130#16839637C2211yescharacteristic
131#16839637C2211yescharacteristic
132#16839630C2211yescharacteristic
133#16839628C2211yescharacteristic
134#16839628C2211yescharacteristic
135#16839628C2211yescharacteristic
136#16839625C2211yescharacteristic
137#16839625C2211yescharacteristic
138#16839625C2211yescharacteristic
139#16839622C2211yescharacteristic
140#16839622C2211yescharacteristic
141#16839622C2211yescharacteristic
142#16839622C2211yescharacteristic
143#16839622C2211yescharacteristic
144C4⋊C4×Dic61C2211yescharacteristic
145C4⋊C4×Dic61C2211yescharacteristic
146C4⋊C4×Dic61C2211yescharacteristic
147C4⋊C4×Dic61C2211yescharacteristic
148C4⋊C4×Dic61C2211yescharacteristic
149C4⋊C4×Dic61C2211yescharacteristic
150C4×C4⋊Dic61C2211yescharacteristic
151C22⋊C4×Dic61C2211yescharacteristic
152C22⋊C4×Dic61C2211yescharacteristic
153C22⋊C4×Dic61C2211yescharacteristic
154C22⋊C4×Dic61C2211yescharacteristic
155C22⋊C4×Dic61C2211yescharacteristic
156C22⋊C4×Dic61C2211yescharacteristic
157C22⋊C4×Dic61C2211yescharacteristic
158C22⋊C4×Dic61C2211yescharacteristic
159C22⋊C4×Dic61C2211yescharacteristic
160C22⋊C4×Dic61C2211yescharacteristic
161C4×C22⋊Dic61C2211yescharacteristic
162C4×C22⋊Dic61C2211yescharacteristic
163C4×C22⋊Dic61C2211yescharacteristic
164C4×C22⋊Dic61C2211yescharacteristic
165C4×C22⋊Dic61C2211yescharacteristic
166#16839608C2211yescharacteristic
167#16839608C2211yescharacteristic
168#16839608C2211yescharacteristic
169C2×#14519684C2211yescharacteristic
170C2×#14519684C2211yescharacteristic
171C2×#14519684C2211yescharacteristic
172C61×#540C4116yescomplemented
173C2×#127×C61C2211yescharacteristic
174C2×#125×C61C2211yescharacteristic
175C2×#123×C61C2211yescharacteristic
176C2×#123×C61C2211yescharacteristic
177C2×#123×C61C2211yescharacteristic
178C2×#123×C61C2211yescharacteristic
179C2×#121×C61C2211yescharacteristic
180C2×#121×C61C2211yescharacteristic
181C2×#121×C61C2211yescharacteristic
182C2×#121×C61C2211yescharacteristic
183C2×#121×C61C2211yescharacteristic
184C2×#121×C61C2211yescharacteristic
185C2×C4×D4×C61C2211yescharacteristic
186C2×C4×D4×C61C2211yescharacteristic
187C2×#117×C61C2211yescharacteristic
188C23×Dic61C2311yescharacteristic
189C23×Dic61C2311yescharacteristic
190C23×Dic61C2311yescharacteristic
191C23×Dic61C2311yescharacteristic
192C23×Dic61C2311yescharacteristic
193C23×Dic61C2311yescharacteristic
194C23×Dic61C2311yescharacteristic
195C23×Dic61C2311yescharacteristic
196C23×Dic61C2311yescharacteristic
197C23×Dic61C2311yescharacteristic
198D4×Dic61—42no—
199D4×Dic61—42no—
200D4×Dic61—42no—
201D4×Dic61—42no—
202D4×Dic61—42no—
203D4×Dic61—42no—
204D4×Dic61—42no—
205D4×Dic61—42no—
206#14519736—42no—
207#14519736—42no—
208C2×C4⋊Dic61—42no—
209C2×C4⋊Dic61C2311yescharacteristic
210C2×C4⋊Dic61C2311yescharacteristic
211C2×C4⋊Dic61C2311yescharacteristic
212C2×C4⋊Dic61C2311yescharacteristic
213C2×C4⋊Dic61C2311yescharacteristic
214C2×C4⋊Dic61C2311yescharacteristic
215C2×C4⋊Dic61C2311yescharacteristic
216C2×C4⋊Dic61C2311yescharacteristic
217C2×C4⋊Dic61C2311yescharacteristic
218C2×C4⋊Dic61C2311yescharacteristic
219C2×C4⋊Dic61C2311yescharacteristic
220C2×C4⋊Dic61C2311yescharacteristic
221C2×C4⋊Dic61C2311yescharacteristic
222C2×C4⋊Dic61C2311yescharacteristic
223C2×C4⋊Dic61C2311yescharacteristic
224C2×C4⋊Dic61C2311yescharacteristic
225C2×C4⋊Dic61C2311yescharacteristic
226C2×C4⋊Dic61C2311yescharacteristic
227C2×C22⋊Dic61C2311yescharacteristic
228C2×C22⋊Dic61C2311yescharacteristic
229C2×C22⋊Dic61C2311yescharacteristic
230C2×C22⋊Dic61C2311yescharacteristic
231C2×C22⋊Dic61C2311yescharacteristic
232C2×C22⋊Dic61C2311yescharacteristic
233C2×C22⋊Dic61C2311yescharacteristic
234C2×C22⋊Dic61C2311yescharacteristic
235C2×C22⋊Dic61C2311yescharacteristic
236C2×C22⋊Dic61C2311yescharacteristic
237C2×C22⋊Dic61C2311yescharacteristic
238C2×C22⋊Dic61C2311yescharacteristic
239C2×C22⋊Dic61C2311yescharacteristic
240C2×C22⋊Dic61C2311yescharacteristic
241C2×C22⋊Dic61C2311yescharacteristic
242C2×C22⋊Dic61C2311yescharacteristic
243C2×C22⋊Dic61C2311yescharacteristic
244C2×C22⋊Dic61C2311yescharacteristic
245C2×C22⋊Dic61C2311yescharacteristic
246C2×C22⋊Dic61C2311yescharacteristic
247C2×C22⋊Dic61C2311yescharacteristic
248C2×C22⋊Dic61C2311yescharacteristic
249C2×C22⋊Dic61C2311yescharacteristic
250C2×C22⋊Dic61C2311yescharacteristic
251C2×C22⋊Dic61C2311yescharacteristic
252C2×C22⋊Dic61C2311yescharacteristic
253C2×C22⋊Dic61C2311yescharacteristic
254C2×C22⋊Dic61C2311yescharacteristic
255C2×C22⋊Dic61C2311yescharacteristic
256C2×C22⋊Dic61C2311yescharacteristic
257C2×C4×Dic61—42no—
258C2×C4×Dic61C2311yescharacteristic
259C2×C4×Dic61C2311yescharacteristic
260C2×C4×Dic61C2311yescharacteristic
261C2×C4×Dic61C2311yescharacteristic
262C2×C4×Dic61C2311yescharacteristic
263C2×C4×Dic61C2311yescharacteristic
264C2×C4×Dic61C2311yescharacteristic
265C2×C4×Dic61C2311yescharacteristic
266C2×C4×Dic61C2311yescharacteristic
267C2×C4×Dic61C2311yescharacteristic
268C2×C4×Dic61C2311yescharacteristic
269C2×C4×Dic61C2311yescharacteristic
270C2×C4×Dic61C2311yescharacteristic
271C2×C4×Dic61C2311yescharacteristic
272C2×C4×Dic61C2311yescharacteristic
273C2×C4×Dic61C2311yescharacteristic
274C2×C4×Dic61C2311yescharacteristic
275C2×C4×Dic61C2311yescharacteristic
276#14519684C2311yescharacteristic
277#14519684C2311yescharacteristic
278#14519684C2311yescharacteristic
279#14519684C2311yescharacteristic
280#14519684C2311yescharacteristic
281#14519684C2311yescharacteristic
282#14519684C2311yescharacteristic
283#14519684C2311yescharacteristic
284#14519684C2311yescharacteristic
285#14519684C2311yescharacteristic
286#14519684C2311yescharacteristic
287#14519684C2311yescharacteristic
288#14519684C2311yescharacteristic
289#14519684C2311yescharacteristic
290#14519684C2311yescharacteristic
291#14519684C2311yescharacteristic
292#14519684C2311yescharacteristic
293#14519684C2311yescharacteristic
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
320C22×D4×C61C2311yescharacteristic
321C22×D4×C61C2311yescharacteristic
322C22×D4×C61C2311yescharacteristic
323C22×D4×C61C2311yescharacteristic
324C22×D4×C61C2311yescharacteristic
325C22×D4×C61C2311yescharacteristic
326C22×D4×C61C2311yescharacteristic
327C22×D4×C61C2311yescharacteristic
328C22×D4×C61C2311yescharacteristic
329C22×D4×C61C2311yescharacteristic
330C23×C4×C61C2311yescharacteristic
331C23×C4×C61C2311yescharacteristic
332C23×C4×C61C2311yescharacteristic
333C23×C4×C61C2311yescharacteristic
334C23×C4×C61C2311yescharacteristic
335#127×C61C2×C418yescomplemented
336#125×C61C2×C418yescomplemented
337#123×C61C2×C418yescomplemented
338#123×C61C2×C418yescomplemented
339#123×C61C2×C418yescomplemented
340#123×C61C2×C418yescomplemented
341#121×C61C2×C418yescomplemented
342#121×C61C2×C418yescomplemented
343#121×C61C2×C418yescomplemented
344#121×C61C2×C418yescomplemented
345#121×C61C2×C418yescomplemented
346#121×C61C2×C418yescomplemented
347C4×D4×C61C2×C418yescomplemented
348C4×D4×C61C2×C418yescomplemented
349#117×C61C2×C418yescomplemented
350C2×C4⋊C4×C61C2311yescharacteristic
351C2×C4⋊C4×C61C2311yescharacteristic
352C2×C4⋊C4×C61C2311yescharacteristic
353C2×C4⋊C4×C61C2311yescharacteristic
354C2×C4⋊C4×C61C2311yescharacteristic
355C2×C4⋊C4×C61C2311yescharacteristic
356C2×C4⋊C4×C61C2311yescharacteristic
357C2×C4⋊C4×C61C2311yescharacteristic
358C2×C22⋊C4×C61C2311yescharacteristic
359C2×C22⋊C4×C61C2311yescharacteristic
360C2×C22⋊C4×C61C2311yescharacteristic
361C2×C22⋊C4×C61C2311yescharacteristic
362C2×C22⋊C4×C61C2311yescharacteristic
363C2×C22⋊C4×C61C2311yescharacteristic
364C2×C22⋊C4×C61C2311yescharacteristic
365C2×C22⋊C4×C61C2311yescharacteristic
366C2×C22⋊C4×C61C2311yescharacteristic
367C2×C22⋊C4×C61C2311yescharacteristic
368C2×C42×C61C2311yescharacteristic
369C2×C42×C61C2311yescharacteristic
370C24×C61C2411yescharacteristic
371C24×C61C2411yescharacteristic
372C24×C61C2411yescharacteristic
373C24×C61C2411yescharacteristic
374C24×C61C2411yescharacteristic
375C2×D4×C61—41no—
376C2×D4×C61—41no—
377C2×D4×C61—41no—
378C2×D4×C61—41no—
379C2×D4×C61—41no—
380C2×D4×C61—41no—
381C2×D4×C61—41no—
382C2×D4×C61—41no—
383C2×D4×C61—41no—
384C2×D4×C61—41no—
385C2×D4×C61—41no—
386C2×D4×C61—41no—
387C2×D4×C61—41no—
388C2×D4×C61—41no—
389C2×D4×C61—41no—
390C2×D4×C61—41no—
391C2×D4×C61—41no—
392C2×D4×C61—41no—
393C2×D4×C61—41no—
394C2×D4×C61—41no—
395C2×D4×C61C22×C414yes—
396C2×D4×C61C22×C414yes—
397C2×D4×C61C22×C414yes—
398C2×D4×C61C22×C414yes—
399C2×D4×C61C22×C414yes—
400C2×D4×C61C22×C414yes—
401C2×D4×C61C22×C414yes—
402C2×D4×C61C22×C414yes—
403C2×D4×C61C22×C414yes—
404C2×D4×C61C22×C414yes—
405C22×C4×C61—41no—
406C22×C4×C61—41no—
407C22×C4×C61—41no—
408C22×C4×C61—41no—
409C22×C4×C61—41no—
410C22×C4×C61—41no—
411C22×C4×C61—41no—
412C22×C4×C61—41no—
413C22×C4×C61—41no—
414C22×C4×C61—41no—
415C22×C4×C61C22×C414yes—
416C22×C4×C61C22×C414yes—
417C22×C4×C61C22×C414yes—
418C22×C4×C61C22×C414yes—
419C22×C4×C61C22×C414yes—
420C22×C4×C61C2411yescharacteristic
421C22×C4×C61C2411yescharacteristic
422C22×C4×C61C2411yescharacteristic
423C22×C4×C61C2411yescharacteristic
424C22×C4×C61C2411yescharacteristic
425C22×C4×C61C2411yescharacteristic
426C22×C4×C61C2411yescharacteristic
427C22×C4×C61C2411yescharacteristic
428C22×C4×C61C2411yescharacteristic
429C22×C4×C61C2411yescharacteristic
430C22×Dic61—22no—
431C22×Dic61—22no—
432C22×Dic61—22no—
433C22×Dic61—22no—
434C22×Dic61—22no—
435C22×Dic61—41no—
436C22×Dic61—41no—
437C22×Dic61—41no—
438C22×Dic61—41no—
439C22×Dic61—41no—
440C22×Dic61—41no—
441C22×Dic61—41no—
442C22×Dic61—41no—
443C22×Dic61—41no—
444C22×Dic61—41no—
445C22×Dic61—41no—
446C22×Dic61—41no—
447C22×Dic61—41no—
448C22×Dic61—41no—
449C22×Dic61—41no—
450C22×Dic61—41no—
451C22×Dic61—41no—
452C22×Dic61—41no—
453C22×Dic61—41no—
454C22×Dic61—41no—
455C22×Dic61—41no—
456C22×Dic61—41no—
457C22×Dic61—41no—
458C22×Dic61—41no—
459C22×Dic61—41no—
460C22×Dic61C2411yescharacteristic
461C22×Dic61C2411yescharacteristic
462C22×Dic61C2411yescharacteristic
463C22×Dic61C2411yescharacteristic
464C22×Dic61C2411yescharacteristic
465C22×Dic61C2411yescharacteristic
466C22×Dic61C2411yescharacteristic
467C22×Dic61C2411yescharacteristic
468C22×Dic61C2411yescharacteristic
469C22×Dic61C2411yescharacteristic
470C22×Dic61C2411yescharacteristic
471C22×Dic61C2411yescharacteristic
472C22×Dic61C2411yescharacteristic
473C22×Dic61C2411yescharacteristic
474C22×Dic61C2411yescharacteristic
475C22×Dic61C2411yescharacteristic
476C4⋊C4×C61C22×C414yes—
477C4⋊C4×C61C22×C414yes—
478C4⋊C4×C61C22×C414yes—
479C4⋊C4×C61C22×C414yes—
480C4⋊C4×C61C22×C414yes—
481C4⋊C4×C61C22×C414yes—
482C4⋊C4×C61C22×C414yes—
483C4⋊C4×C61C22×C414yes—
484C22⋊C4×C61C22×C414yes—
485C22⋊C4×C61C22×C414yes—
486C22⋊C4×C61C22×C414yes—
487C22⋊C4×C61C22×C414yes—
488C22⋊C4×C61C22×C414yes—
489C22⋊C4×C61C22×C414yes—
490C22⋊C4×C61C22×C414yes—
491C22⋊C4×C61C22×C414yes—
492C22⋊C4×C61C22×C414yes—
493C22⋊C4×C61C22×C414yes—
494C42×C61C22×C414yes—
495C42×C61C22×C414yes—
496C22⋊Dic61—22no—
497C22⋊Dic61—22no—
498C22⋊Dic61—22no—
499C22⋊Dic61—22no—
500C22⋊Dic61—22no—
501C22⋊Dic61—41no—
502C22⋊Dic61—41no—
503C22⋊Dic61—41no—
504C22⋊Dic61—41no—
505C22⋊Dic61—41no—
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⋊Dic61—41no—
515C22⋊Dic61—41no—
516C22⋊Dic61—41no—
517C22⋊Dic61—41no—
518C22⋊Dic61—41no—
519C22⋊Dic61—41no—
520C22⋊Dic61—41no—
521C22⋊Dic61—41no—
522C22⋊Dic61—41no—
523C22⋊Dic61—41no—
524C22⋊Dic61—41no—
525C22⋊Dic61—41no—
526C4⋊Dic61—22no—
527C4⋊Dic61—22no—
528C4⋊Dic61—22no—
529C4⋊Dic61—41no—
530C4⋊Dic61—41no—
531C4⋊Dic61—41no—
532C4⋊Dic61—41no—
533C4⋊Dic61—41no—
534C4⋊Dic61—41no—
535C4⋊Dic61—41no—
536C4⋊Dic61—41no—
537C4⋊Dic61—41no—
538C4⋊Dic61—41no—
539C4⋊Dic61—41no—
540C4⋊Dic61—41no—
541C4⋊Dic61—41no—
542C4⋊Dic61—41no—
543C4⋊Dic61—41no—
544C4×Dic61—22no—
545C4×Dic61—22no—
546C4×Dic61—22no—
547C4×Dic61—22no—
548C4×Dic61—22no—
549C4×Dic61—41no—
550C4×Dic61—41no—
551C4×Dic61—41no—
552C4×Dic61—41no—
553C4×Dic61—41no—
554C4×Dic61—41no—
555C4×Dic61—41no—
556C4×Dic61—41no—
557C4×Dic61—41no—
558C4×Dic61—41no—
559C4×Dic61—41no—
560C4×Dic61—41no—
561C4×Dic61—41no—
562C23×C61—21no—
563C23×C61—21no—
564C23×C61—21no—
565C23×C61—21no—
566C23×C61—21no—
567C23×C61—21no—
568C23×C61—21no—
569C23×C61—21no—
570C23×C61—21no—
571C23×C61—21no—
572C23×C61—21no—
573C23×C61—21no—
574C23×C61—21no—
575C23×C61—21no—
576C23×C61—21no—
577C23×C61—21no—
578C23×C61—21no—
579C23×C61—21no—
580C23×C61—21no—
581C23×C61—21no—
582C23×C61—21no—
583C23×C61—21no—
584C23×C61—21no—
585C23×C61—21no—
586C23×C61—21no—
587C23×C61—21no—
588C23×C61—21no—
589C23×C61—21no—
590C23×C61—21no—
591C23×C61—21no—
592C23×C61C23×C412yes—
593C23×C61C23×C412yes—
594C23×C61C23×C412yes—
595C23×C61C23×C412yes—
596C23×C61C23×C412yes—
597C23×C61C2511yescharacteristic
598D4×C61—44no—
599D4×C61—44no—
600D4×C61—44no—
601D4×C61—44no—
602D4×C61—44no—
603D4×C61—44no—
604D4×C61—44no—
605D4×C61—44no—
606D4×C61—44no—
607D4×C61—44no—
608C2×C4×C61—21no—
609C2×C4×C61—21no—
610C2×C4×C61—21no—
611C2×C4×C61—21no—
612C2×C4×C61—21no—
613C2×C4×C61—21no—
614C2×C4×C61—21no—
615C2×C4×C61—21no—
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—44no—
629C2×C4×C61—44no—
630C2×C4×C61—44no—
631C2×C4×C61—44no—
632C2×C4×C61—44no—
633C2×C4×C61C23×C412yes—
634C2×C4×C61C23×C412yes—
635C2×C4×C61C23×C412yes—
636C2×C4×C61C23×C412yes—
637C2×C4×C61C23×C412yes—
638C2×C4×C61C23×C412yes—
639C2×C4×C61C23×C412yes—
640C2×C4×C61C23×C412yes—
641C2×C4×C61C23×C412yes—
642C2×C4×C61C23×C412yes—
643C2×Dic61—21no—
644C2×Dic61—21no—
645C2×Dic61—21no—
646C2×Dic61—21no—
647C2×Dic61—21no—
648C2×Dic61—21no—
649C2×Dic61—21no—
650C2×Dic61—21no—
651C2×Dic61—21no—
652C2×Dic61—21no—
653C2×Dic61—21no—
654C2×Dic61—21no—
655C2×Dic61—21no—
656C2×Dic61—21no—
657C2×Dic61—21no—
658C2×Dic61—21no—
659C2×Dic61—21no—
660C2×Dic61—21no—
661C2×Dic61—21no—
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—44no—
690C2×Dic61—44no—
691C2×Dic61—82no—
692C2×Dic61—82no—
693C2×Dic61—82no—
694C2×Dic61—82no—
695C2×Dic61—82no—
696C2×Dic61—82no—
697C2×Dic61—82no—
698C2×Dic61—82no—
699C2×Dic61H(5,𝔽2)12yes—
700C2×Dic61H(5,𝔽2)12yes—
701#34450—611nomaximal, Sylow
702C22×C61—22no—
703C22×C61—22no—
704C22×C61—22no—
705C22×C61—22no—
706C22×C61—22no—
707C22×C61—22no—
708C22×C61—22no—
709C22×C61—22no—
710C22×C61—22no—
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—41no—
725C22×C61—41no—
726C22×C61—41no—
727C22×C61—41no—
728C22×C61—41no—
729C22×C61—41no—
730C22×C61—41no—
731C22×C61—41no—
732C22×C61—41no—
733C22×C61—41no—
734C22×C61—41no—
735C22×C61—41no—
736C22×C61—41no—
737C22×C61C24×C411yescharacteristic
738C22×C61C2×H(5,𝔽2)11yescharacteristic
739C22×C61C2×H(5,𝔽2)11yescharacteristic
740C22×C61#58511yescharacteristic
741C22×C61#58511yescharacteristic
742C22×C61#58511yescharacteristic
743C22×C61#58511yescharacteristic
744C4×C61—22no—
745C4×C61—22no—
746C4×C61—22no—
747C4×C61—22no—
748C4×C61—22no—
749C4×C61—22no—
750C4×C61—22no—
751C4×C61—22no—
752C4×C61—22no—
753C4×C61—22no—
754Dic61—22no—
755Dic61—22no—
756Dic61—41no—
757Dic61—41no—
758Dic61—41no—
759Dic61—41no—
760Dic61—41no—
761Dic61—41no—
762Dic61—41no—
763Dic61—41no—
764Dic61—41no—
765Dic61—41no—
766Dic61—41no—
767Dic61—41no—
768Dic61—41no—
769Dic61—41no—
770C2×#540D6111yescharacteristic
771#2382—611no—
772#2377—611no—
773#2377—611no—
774#2376—611no—
775#2374—611no—
776#2371—611no—
777#2364—611no—
778#2364—611no—
779#2363—611no—
780#2361—611no—
781#2359—611no—
782#2359—611no—
783#2353—611no—
784#2352—611no—
785#2346—611no—
786#2343—611no—
787#2335—611no—
788#2335—611no—
789#2333—611no—
790#2333—611no—
791#2328—611no—
792#2328—611no—
793#2325—611no—
794#2325—611no—
795#2324—611no—
796#2322—611no—
797#2318—611no—
798C4×#123—611no—
799C4×#121—611no—
800#2290—611no—
801C2×C61—42no—
802C2×C61—42no—
803C2×C61—42no—
804C2×C61—42no—
805C2×C61—42no—
806C2×C61#342811yescharacteristic
807C2×C61C4×H(5,𝔽2)11yescharacteristic
808C2×C61C4×H(5,𝔽2)11yescharacteristic
809C2×C61#353311yescharacteristic
810C2×C61#354211yescharacteristic
811C2×C61#355111yescharacteristic
812C2×C61#356711yescharacteristic
813#540Dic61116yescomplemented
814C2×#127C2×D6111yescharacteristic
815C2×#125C2×D6111yescharacteristic
816C2×#123C2×D6111yescharacteristic
817C2×#123C2×D6111yescharacteristic
818C2×#123C2×D6111yescharacteristic
819C2×#123C2×D6111yescharacteristic
820C2×#121C2×D6111yescharacteristic
821C2×#121C2×D6111yescharacteristic
822C2×#121C2×D6111yescharacteristic
823C2×#121C2×D6111yescharacteristic
824C2×#121C2×D6111yescharacteristic
825C2×#121C2×D6111yescharacteristic
826C2×C4×D4—611no—
827C2×C4×D4—611no—
828C2×C4×D4—611no—
829C2×C4×D4—611no—
830C2×C4×D4—611no—
831C2×C4×D4—611no—
832C2×C4×D4—611no—
833C2×C4×D4—611no—
834C2×C4×D4C2×D6111yescharacteristic
835C2×C4×D4C2×D6111yescharacteristic
836C2×#117—611no—
837C2×#117—611no—
838C2×#117C2×D6111yescharacteristic
839C22×C4⋊C4—611no—
840C22×C42—611no—
841#390—611no—
842#390—611no—
843#390—611no—
844#390—611no—
845#390—611no—
846#390—611no—
847#390—611no—
848#390—611no—
849#389—611no—
850#389—611no—
851#389—611no—
852#389—611no—
853#389—611no—
854#389—611no—
855#388—611no—
856#388—611no—
857#388—611no—
858#388—611no—
859#388—611no—
860#388—611no—
861#388—611no—
862#388—611no—
863#388—611no—
864#388—611no—
865#388—611no—
866#388—611no—
867#388—611no—
868#388—611no—
869#388—611no—
870#388—611no—
871#388—611no—
872#388—611no—
873#388—611no—
874#388—611no—
875#387—611no—
876#387—611no—
877#387—611no—
878#387—611no—
879#387—611no—
880#387—611no—
881#387—611no—
882#387—611no—
883#387—611no—
884#387—611no—
885#387—611no—
886#387—611no—
887#387—611no—
888#387—611no—
889#387—611no—
890#387—611no—
891#387—611no—
892#387—611no—
893#387—611no—
894#387—611no—
895#386—611no—
896#386—611no—
897#386—611no—
898#386—611no—
899#386—611no—
900#386—611no—
901#386—611no—
902#386—611no—
903#386—611no—
904#386—611no—
905#386—611no—
906#386—611no—
907#386—611no—
908#386—611no—
909#386—611no—
910#386—611no—
911#386—611no—
912#386—611no—
913#386—611no—
914#386—611no—
915#386—611no—
916#386—611no—
917#386—611no—
918#386—611no—
919#385—611no—
920#385—611no—
921#385—611no—
922#385—611no—
923#385—611no—
924#385—611no—
925#385—611no—
926#385—611no—
927#385—611no—
928#385—611no—
929#383—611no—
930#382—611no—
931#382—611no—
932#382—611no—
933#381—611no—
934#381—611no—
935#381—611no—
936#380—611no—
937#380—611no—
938#380—611no—
939#380—611no—
940#380—611no—
941C4×C4⋊C4—611no—
942C4×C4⋊C4—611no—
943C4×C4⋊C4—611no—
944C4×C4⋊C4—611no—
945C4×C4⋊C4—611no—
946C4×C4⋊C4—611no—
947C4×C4⋊C4—611no—
948C4×C22⋊C4—611no—
949C4×C22⋊C4—611no—
950C4×C22⋊C4—611no—
951C4×C22⋊C4—611no—
952C4×C22⋊C4—611no—
953C4×C22⋊C4—611no—
954C4×C22⋊C4—611no—
955C4×C22⋊C4—611no—
956C4×C22⋊C4—611no—
957C4×C22⋊C4—611no—
958C4×C22⋊C4—611no—
959C4×C22⋊C4—611no—
960C4×C22⋊C4—611no—
961C4×C22⋊C4—611no—
962C4×C22⋊C4—611no—
963#376—611no—
964#376—611no—
965#376—611no—
966C2×#95—611no—
967C2×#95—611no—
968C2×#95—611no—
969C61#3445011yescharacteristic, complemented, Sylow
970C22×D4C22×D6111yescharacteristic
971C22×D4C22×D6111yescharacteristic
972C22×D4C22×D6111yescharacteristic
973C22×D4C22×D6111yescharacteristic
974C22×D4C22×D6111yescharacteristic
975C22×D4C22×D6111yescharacteristic
976C22×D4C22×D6111yescharacteristic
977C22×D4C22×D6111yescharacteristic
978C22×D4C22×D6111yescharacteristic
979C22×D4C22×D6111yescharacteristic
980C23×C4—611no—
981C23×C4—611no—
982C23×C4—611no—
983C23×C4—611no—
984C23×C4—611no—
985C23×C4—611no—
986C23×C4—611no—
987C23×C4—611no—
988C23×C4—611no—
989C23×C4—611no—
990C23×C4C22×D6111yescharacteristic
991C23×C4C22×D6111yescharacteristic
992C23×C4C22×D6111yescharacteristic
993C23×C4C22×D6111yescharacteristic
994C23×C4C22×D6111yescharacteristic
995#127C2×Dic6118yescomplemented
996#125C2×Dic6118yescomplemented
997#123C2×Dic6118yescomplemented
998#123C2×Dic6118yescomplemented
999#123C2×Dic6118yescomplemented
1000#123C2×Dic6118yescomplemented
1001#121C2×Dic6118yescomplemented
1002#121C2×Dic6118yescomplemented
1003#121C2×Dic6118yescomplemented
1004#121C2×Dic6118yescomplemented
1005#121C2×Dic6118yescomplemented
1006#121C2×Dic6118yescomplemented
1007C4×D4—2442no—
1008C4×D4—2442no—
1009C4×D4—2442no—
1010C4×D4—2442no—
1011C4×D4—2442no—
1012C4×D4—2442no—
1013C4×D4—2442no—
1014C4×D4—2442no—
1015C4×D4C2×Dic6118yescomplemented
1016C4×D4C2×Dic6118yescomplemented
1017#117—2442no—
1018#117—2442no—
1019#117C2×Dic6118yescomplemented
1020C2×C4⋊C4—611no—
1021C2×C4⋊C4—611no—
1022C2×C4⋊C4—611no—
1023C2×C4⋊C4—611no—
1024C2×C4⋊C4—611no—
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—2442no—
1039C2×C4⋊C4C22×D6111yescharacteristic
1040C2×C4⋊C4C22×D6111yescharacteristic
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×C22⋊C4—611no—
1048C2×C22⋊C4—611no—
1049C2×C22⋊C4—611no—
1050C2×C22⋊C4—611no—
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⋊C4C22×D6111yescharacteristic
1078C2×C22⋊C4C22×D6111yescharacteristic
1079C2×C22⋊C4C22×D6111yescharacteristic
1080C2×C22⋊C4C22×D6111yescharacteristic
1081C2×C22⋊C4C22×D6111yescharacteristic
1082C2×C22⋊C4C22×D6111yescharacteristic
1083C2×C22⋊C4C22×D6111yescharacteristic
1084C2×C22⋊C4C22×D6111yescharacteristic
1085C2×C22⋊C4C22×D6111yescharacteristic
1086C2×C22⋊C4C22×D6111yescharacteristic
1087C2×C42—611no—
1088C2×C42—611no—
1089C2×C42—611no—
1090C2×C42—611no—
1091C2×C42—611no—
1092C2×C42—611no—
1093C2×C42—611no—
1094C2×C42—611no—
1095C2×C42—611no—
1096C2×C42—611no—
1097C2×C42—611no—
1098C2×C42—611no—
1099C2×C42—611no—
1100C2×C42—611no—
1101C2×C42—611no—
1102C2×C42—611no—
1103C2×C42—611no—
1104C2×C42—611no—
1105C2×C42—2442no—
1106C2×C42C22×D6111yescharacteristic
1107C2×C42C22×D6111yescharacteristic
1108#95—611no—
1109#95—611no—
1110#95—611no—
1111#95—611no—
1112#95—611no—
1113#95—611no—
1114#95—611no—
1115#95—611no—
1116#95—611no—
1117#95—611no—
1118#95—611no—
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#95—611no—
1152C24C23×D6111yescharacteristic
1153C24C23×D6111yescharacteristic
1154C24C23×D6111yescharacteristic
1155C24C23×D6111yescharacteristic
1156C24C23×D6111yescharacteristic
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4C22×Dic6114yes—
1178C2×D4C22×Dic6114yes—
1179C2×D4C22×Dic6114yes—
1180C2×D4C22×Dic6114yes—
1181C2×D4C22×Dic6114yes—
1182C2×D4C22×Dic6114yes—
1183C2×D4C22×Dic6114yes—
1184C2×D4C22×Dic6114yes—
1185C2×D4C22×Dic6114yes—
1186C2×D4C22×Dic6114yes—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—611no—
1198C22×C4—611no—
1199C22×C4—611no—
1200C22×C4—611no—
1201C22×C4—611no—
1202C22×C4—611no—
1203C22×C4—611no—
1204C22×C4—611no—
1205C22×C4—611no—
1206C22×C4—611no—
1207C22×C4—611no—
1208C22×C4—611no—
1209C22×C4—611no—
1210C22×C4—611no—
1211C22×C4—611no—
1212C22×C4—611no—
1213C22×C4—1222no—
1214C22×C4—1222no—
1215C22×C4—1222no—
1216C22×C4—1222no—
1217C22×C4—1222no—
1218C22×C4—2441no—
1219C22×C4—2441no—
1220C22×C4—2441no—
1221C22×C4—2441no—
1222C22×C4—2441no—
1223C22×C4—2441no—
1224C22×C4—2441no—
1225C22×C4—2441no—
1226C22×C4—2441no—
1227C22×C4—2441no—
1228C22×C4—2441no—
1229C22×C4—2441no—
1230C22×C4—2441no—
1231C22×C4—2441no—
1232C22×C4—2441no—
1233C22×C4—2441no—
1234C22×C4—2441no—
1235C22×C4—2441no—
1236C22×C4—2441no—
1237C22×C4—2441no—
1238C22×C4—2441no—
1239C22×C4—2441no—
1240C22×C4—2441no—
1241C22×C4—2441no—
1242C22×C4—2441no—
1243C22×C4C22×Dic6114yes—
1244C22×C4C22×Dic6114yes—
1245C22×C4C22×Dic6114yes—
1246C22×C4C22×Dic6114yes—
1247C22×C4C22×Dic6114yes—
1248C22×C4C23×D6111yescharacteristic
1249C22×C4C23×D6111yescharacteristic
1250C22×C4C23×D6111yescharacteristic
1251C22×C4C23×D6111yescharacteristic
1252C22×C4C23×D6111yescharacteristic
1253C22×C4C23×D6111yescharacteristic
1254C22×C4C23×D6111yescharacteristic
1255C22×C4C23×D6111yescharacteristic
1256C22×C4C23×D6111yescharacteristic
1257C22×C4C23×D6111yescharacteristic
1258C4⋊C4—1222no—
1259C4⋊C4—1222no—
1260C4⋊C4—1222no—
1261C4⋊C4—2441no—
1262C4⋊C4—2441no—
1263C4⋊C4—2441no—
1264C4⋊C4—2441no—
1265C4⋊C4—2441no—
1266C4⋊C4—2441no—
1267C4⋊C4—2441no—
1268C4⋊C4—2441no—
1269C4⋊C4—2441no—
1270C4⋊C4—2441no—
1271C4⋊C4—2441no—
1272C4⋊C4—2441no—
1273C4⋊C4—2441no—
1274C4⋊C4—2441no—
1275C4⋊C4—2441no—
1276C4⋊C4C22×Dic6114yes—
1277C4⋊C4C22×Dic6114yes—
1278C4⋊C4C22×Dic6114yes—
1279C4⋊C4C22×Dic6114yes—
1280C4⋊C4C22×Dic6114yes—
1281C4⋊C4C22×Dic6114yes—
1282C4⋊C4C22×Dic6114yes—
1283C4⋊C4C22×Dic6114yes—
1284C22⋊C4—1222no—
1285C22⋊C4—1222no—
1286C22⋊C4—1222no—
1287C22⋊C4—1222no—
1288C22⋊C4—1222no—
1289C22⋊C4—2441no—
1290C22⋊C4—2441no—
1291C22⋊C4—2441no—
1292C22⋊C4—2441no—
1293C22⋊C4—2441no—
1294C22⋊C4—2441no—
1295C22⋊C4—2441no—
1296C22⋊C4—2441no—
1297C22⋊C4—2441no—
1298C22⋊C4—2441no—
1299C22⋊C4—2441no—
1300C22⋊C4—2441no—
1301C22⋊C4—2441no—
1302C22⋊C4—2441no—
1303C22⋊C4—2441no—
1304C22⋊C4—2441no—
1305C22⋊C4—2441no—
1306C22⋊C4—2441no—
1307C22⋊C4—2441no—
1308C22⋊C4—2441no—
1309C22⋊C4—2441no—
1310C22⋊C4—2441no—
1311C22⋊C4—2441no—
1312C22⋊C4—2441no—
1313C22⋊C4—2441no—
1314C22⋊C4C22×Dic6114yes—
1315C22⋊C4C22×Dic6114yes—
1316C22⋊C4C22×Dic6114yes—
1317C22⋊C4C22×Dic6114yes—
1318C22⋊C4C22×Dic6114yes—
1319C22⋊C4C22×Dic6114yes—
1320C22⋊C4C22×Dic6114yes—
1321C22⋊C4C22×Dic6114yes—
1322C22⋊C4C22×Dic6114yes—
1323C22⋊C4C22×Dic6114yes—
1324C42—1222no—
1325C42—1222no—
1326C42—1222no—
1327C42—1222no—
1328C42—1222no—
1329C42—2441no—
1330C42—2441no—
1331C42—2441no—
1332C42—2441no—
1333C42—2441no—
1334C42—2441no—
1335C42—2441no—
1336C42—2441no—
1337C42—2441no—
1338C42—2441no—
1339C42—2441no—
1340C42—2441no—
1341C42—2441no—
1342C42C22×Dic6114yes—
1343C42C22×Dic6114yes—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23C23×Dic6112yes—
1375C23C23×Dic6112yes—
1376C23C23×Dic6112yes—
1377C23C23×Dic6112yes—
1378C23C23×Dic6112yes—
1379C23C24×D6111yescharacteristic
1380D4—44no—
1381D4—44no—
1382D4—44no—
1383D4—44no—
1384D4—44no—
1385D4—44no—
1386D4—44no—
1387D4—44no—
1388D4—44no—
1389D4—44no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—44no—
1413C2×C4—44no—
1414C2×C4—44no—
1415C2×C4—612no—
1416C2×C4—612no—
1417C2×C4—1221no—
1418C2×C4—1221no—
1419C2×C4—1221no—
1420C2×C4—1221no—
1421C2×C4—1221no—
1422C2×C4—1221no—
1423C2×C4—1221no—
1424C2×C4—1221no—
1425C2×C4—1221no—
1426C2×C4—1221no—
1427C2×C4—1221no—
1428C2×C4—1221no—
1429C2×C4—1221no—
1430C2×C4—1221no—
1431C2×C4—1221no—
1432C2×C4—1221no—
1433C2×C4—1221no—
1434C2×C4—1221no—
1435C2×C4—1221no—
1436C2×C4—1221no—
1437C2×C4—1221no—
1438C2×C4—1221no—
1439C2×C4—1221no—
1440C2×C4—1221no—
1441C2×C4—1221no—
1442C2×C4—1221no—
1443C2×C4—1221no—
1444C2×C4—1221no—
1445C2×C4—1221no—
1446C2×C4—1221no—
1447C2×C4—1221no—
1448C2×C4—1221no—
1449C2×C4—1221no—
1450C2×C4—1221no—
1451C2×C4—1221no—
1452C2×C4—1221no—
1453C2×C4—1221no—
1454C2×C4—1221no—
1455C2×C4—1221no—
1456C2×C4—1221no—
1457C2×C4—1221no—
1458C2×C4—1221no—
1459C2×C4—1221no—
1460C2×C4—1221no—
1461C2×C4—1221no—
1462C2×C4—1221no—
1463C2×C4—4882no—
1464C2×C4—4882no—
1465C2×C4—4882no—
1466C2×C4—4882no—
1467C2×C4—4882no—
1468C2×C4—4882no—
1469C2×C4—4882no—
1470C2×C4—4882no—
1471C2×C4—2444no—
1472C2×C4—2444no—
1473C2×C4C23×Dic6112yes—
1474C2×C4C23×Dic6112yes—
1475C2×C4C23×Dic6112yes—
1476C2×C4C23×Dic6112yes—
1477C2×C4C23×Dic6112yes—
1478C2×C4C23×Dic6112yes—
1479C2×C4C23×Dic6112yes—
1480C2×C4C23×Dic6112yes—
1481C2×C4C23×Dic6112yes—
1482C2×C4C23×Dic6112yes—
1483C22—22no—
1484C22—22no—
1485C22—22no—
1486C22—22no—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—22no—
1491C22—22no—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22C24×Dic6111yescharacteristic
1519C22H(5,𝔽2)×D6111yescharacteristic
1520C22H(5,𝔽2)×D6111yescharacteristic
1521C22#1684059711yescharacteristic
1522C22#1684059711yescharacteristic
1523C22#1684059811yescharacteristic
1524C22#1684059811yescharacteristic
1525C4—22no—
1526C4—22no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—22no—
1531C4—22no—
1532C4—22no—
1533C4—22no—
1534C4—22no—
1535C4—1222no—
1536C4—1222no—
1537C4—2441no—
1538C4—2441no—
1539C4—2441no—
1540C4—2441no—
1541C4—2441no—
1542C4—2441no—
1543C4—2441no—
1544C4—2441no—
1545C4—2441no—
1546C4—2441no—
1547C4—2441no—
1548C4—2441no—
1549C4—2441no—
1550C4—2441no—
1551C2—42no—
1552C2—42no—
1553C2—42no—
1554C2—42no—
1555C2—42no—
1556C2#2145902211yescharacteristic
1557C2H(5,𝔽2)×Dic6111yescharacteristic
1558C2H(5,𝔽2)×Dic6111yescharacteristic
1559C2#2145997911yescharacteristic
1560C2#2146012611yescharacteristic
1561C2#2146024011yescharacteristic
1562C2#2146050411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D61
commutatorC22×C61C24×C4
Fitting, prime radicalC2×C61×#540C2
socle, cosocleC23×C61C25
hypercenterC2×#540D61
hypocenterC61#34450
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#540

Complements

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

NH ≅ G/Ntype
1. #21449005C2semidirect
2. #21448976C2semidirect
3. #21448976C2semidirect
4. #21448967C2semidirect
5. #21448955C2semidirect
6. #21448925C2semidirect
7. #21448871C2semidirect
8. #21448871C2semidirect
9. #21448861C2semidirect
10. #21448839C2semidirect
11. #21448815C2semidirect
12. #21448815C2semidirect
13. #21448759C2semidirect
14. #21448748C2semidirect
15. #21448704C2semidirect
16. #21448679C2semidirect
17. #21448613C2semidirect
18. #21448613C2semidirect
19. #21448586C2semidirect
20. #21448586C2semidirect
21. #21448545C2semidirect
22. #21448545C2semidirect
23. #21448524C2semidirect
24. #21448524C2semidirect
25. #21448514C2semidirect
26. #21448491C2semidirect
27. #21448452C2semidirect
28. #123×Dic61C2semidirect
29. #121×Dic61C2semidirect
30. #21448264C2semidirect
172. C61×#540C4semidirect
335. #127×C61C2×C4semidirect
336. #125×C61C2×C4semidirect
337. #123×C61C2×C4semidirect
338. #123×C61C2×C4semidirect
339. #123×C61C2×C4semidirect
340. #123×C61C2×C4semidirect
341. #121×C61C2×C4semidirect
342. #121×C61C2×C4semidirect
343. #121×C61C2×C4semidirect
344. #121×C61C2×C4semidirect
345. #121×C61C2×C4semidirect
346. #121×C61C2×C4semidirect
347. C4×D4×C61C2×C4semidirect
348. C4×D4×C61C2×C4semidirect
349. #117×C61C2×C4semidirect
813. #540Dic61semidirect
969. C61#34450semidirect
995. #127C2×Dic61semidirect
996. #125C2×Dic61semidirect
997. #123C2×Dic61semidirect
998. #123C2×Dic61semidirect
999. #123C2×Dic61semidirect
1000. #123C2×Dic61semidirect
1001. #121C2×Dic61semidirect
1002. #121C2×Dic61semidirect
1003. #121C2×Dic61semidirect
1004. #121C2×Dic61semidirect
1005. #121C2×Dic61semidirect
1006. #121C2×Dic61semidirect
1015. C4×D4C2×Dic61semidirect
1016. C4×D4C2×Dic61semidirect
1019. #117C2×Dic61semidirect

Maximal subgroups

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

subgroupindex
#214490052
#214489762
#214489672
#214489552
#214489252
#214488712
#214488612
#214488392
#214488152
#214487592
#214487482
#214487042
#214486792
#214486132
#214485862
#214485452
#214485242
#214485142
#214484912
#214484522
#123×Dic612
#121×Dic612
#214482642
C2×C61×#5402
#3445061