Finite Group Databasebeta

← #33258645

Subgroups — #33258645

Order 18688.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989175C211yesmaximal, characteristic, complemented
2C22×C4×C22⋊D73C211yesmaximal, characteristic, complemented
3#22618244C211yesmaximal, characteristic, complemented
4#22618228C211yesmaximal, characteristic, complemented
5#22618222C211yesmaximal, characteristic, complemented
6#22618212C211yesmaximal, characteristic, complemented
7#22615832C211yesmaximal, characteristic, complemented
8#22615819C211yesmaximal, characteristic, complemented
9#22615787C211yesmaximal, characteristic, complemented
10#22615774C211yesmaximal, characteristic, complemented
11#22614194C211yesmaximal, characteristic, complemented
12#22614059C211yesmaximal, characteristic, complemented
13#22613984C211yesmaximal, characteristic, complemented
14#22613870C211yesmaximal, characteristic, complemented
15#22613825C211yesmaximal, characteristic, complemented
16#22613825C211yesmaximal, characteristic, complemented
17#22613755C211yesmaximal, characteristic, complemented
18#22613681C211yesmaximal, characteristic, complemented
19#22613668C211yesmaximal, characteristic, complemented
20#22613592C211yesmaximal, characteristic, complemented
21#22613469C211yesmaximal, characteristic, complemented
22#22613467C211yesmaximal, characteristic, complemented
23#22613393C211yesmaximal, characteristic, complemented
24#22613305C211yesmaximal, characteristic, complemented
25#22613299C211yesmaximal, characteristic, complemented
26#22613241C211yesmaximal, characteristic, complemented
27#22612634C211yesmaximal, characteristic, complemented
28#22612589C211yesmaximal, characteristic, complemented
29#22612565C211yesmaximal, characteristic, complemented
30C4×#14556560C211yesmaximal, characteristic, complemented
31C2×#386×C73C211yesmaximal, characteristic, complemented
32C23×C22⋊D73C2211yescharacteristic
33C23×C4×D73C2211yescharacteristic, complemented
34#17989175—28no—
35C2×#14556584C2211yescharacteristic, complemented
36C2×#14556584C2211yescharacteristic, complemented
37C2×#14556577C2211yescharacteristic, complemented
38C2×#14556577C2211yescharacteristic, complemented
39C2×#14556573C2211yescharacteristic, complemented
40C2×#14556573C2211yescharacteristic, complemented
41C2×#14556573C2211yescharacteristic, complemented
42C2×#14556570C2211yescharacteristic, complemented
43C2×#14556568C2211yescharacteristic, complemented
44C2×#14556565C2211yescharacteristic
45C2×#14556565C2211yescharacteristic
46C2×#14556564C2211yescharacteristic, complemented
47C2×#14556564C2211yescharacteristic, complemented
48C2×#14556564C2211yescharacteristic, complemented
49C2×#14556563C2211yescharacteristic
50C2×#14556563C2211yescharacteristic
51C2×#14556561C2211yescharacteristic, complemented
52C2×#14556560C2211yescharacteristic
53C2×#14556560C2211yescharacteristic
54C2×#14556560C2211yescharacteristic
55C2×#14556560C2211yescharacteristic, complemented
56C2×#14556559C2211yescharacteristic
57C2×#14556559C2211yescharacteristic
58C2×C4×C22⋊D73—28no—
59C2×C4×C22⋊D73C2211yescharacteristic
60C2×C4×C22⋊D73C2211yescharacteristic
61C2×C4×C22⋊D73C2211yescharacteristic
62C2×C4×C22⋊D73C2211yescharacteristic
63C2×C4×C22⋊D73C2211yescharacteristic, complemented
64C2×C4×C22⋊D73C2211yescharacteristic, complemented
65C2×C4×C22⋊D73C2211yescharacteristic, complemented
66C2×C4×C22⋊D73C2211yescharacteristic, complemented
67C2×C4×C22⋊D73C2211yescharacteristic, complemented
68C2×C4×C22⋊D73C2211yescharacteristic, complemented
69C2×C4×C22⋊D73C2211yescharacteristic, complemented
70C22×#11924007C2211yescharacteristic, complemented
71C22×C22⋊Dic73C2211yescharacteristic
72C22×#11924005C2211yescharacteristic, complemented
73C22×C4×Dic73C2211yescharacteristic, complemented
74#17988529C2211yescharacteristic, complemented
75#17988528C2211yescharacteristic, complemented
76#17988523C2211yescharacteristic, complemented
77#17988523C2211yescharacteristic, complemented
78#17988521C2211yescharacteristic, complemented
79#17988516C2211yescharacteristic, complemented
80#17988516C2211yescharacteristic, complemented
81#17988515C2211yescharacteristic, complemented
82#17988511C2211yescharacteristic, complemented
83#17988510C2211yescharacteristic, complemented
84#17988510C2211yescharacteristic, complemented
85#17988510C2211yescharacteristic, complemented
86#17988505C2211yescharacteristic, complemented
87#17988503C2211yescharacteristic, complemented
88#17988503C2211yescharacteristic, complemented
89#17988503C2211yescharacteristic, complemented
90#17988502C2211yescharacteristic, complemented
91#17988502C2211yescharacteristic, complemented
92#17988502C2211yescharacteristic, complemented
93#17988501C2211yescharacteristic, complemented
94#17988501C2211yescharacteristic, complemented
95#17988500C2211yescharacteristic, complemented
96#17988499C2211yescharacteristic, complemented
97#17988496C2211yescharacteristic, complemented
98#17988496C2211yescharacteristic, complemented
99#17988496C2211yescharacteristic, complemented
100#17988495C2211yescharacteristic
101#17988495C2211yescharacteristic
102#17988495C2211yescharacteristic
103#17988495C2211yescharacteristic
104#17988495C2211yescharacteristic, complemented
105#17988495C2211yescharacteristic, complemented
106#17988491C2211yescharacteristic, complemented
107#17988487C2211yescharacteristic, complemented
108#17988487C2211yescharacteristic, complemented
109#17988487C2211yescharacteristic, complemented
110#17988481C2211yescharacteristic, complemented
111#17988481C2211yescharacteristic, complemented
112#17988481C2211yescharacteristic, complemented
113#17988480C2211yescharacteristic, complemented
114#17988480C2211yescharacteristic, complemented
115#17988479C2211yescharacteristic, complemented
116#17988479C2211yescharacteristic, complemented
117#17988476C2211yescharacteristic, complemented
118#17988476C2211yescharacteristic, complemented
119#17988476C2211yescharacteristic, complemented
120#17988475C2211yescharacteristic, complemented
121#17988475C2211yescharacteristic, complemented
122#17988474C2211yescharacteristic, complemented
123#17988472C2211yescharacteristic, complemented
124#17988472C2211yescharacteristic, complemented
125#17988469C2211yescharacteristic, complemented
126#17988469C2211yescharacteristic, complemented
127#17988469C2211yescharacteristic, complemented
128#17988467C2211yescharacteristic
129#17988467C2211yescharacteristic
130#17988467C2211yescharacteristic
131#17988467C2211yescharacteristic
132#17988466C2211yescharacteristic
133#17988466C2211yescharacteristic
134#17988466C2211yescharacteristic
135#17988466C2211yescharacteristic
136#17988466C2211yescharacteristic, complemented
137#17988466C2211yescharacteristic, complemented
138#17988466C2211yescharacteristic, complemented
139#17988466C2211yescharacteristic, complemented
140#17988465C2211yescharacteristic, complemented
141#17988465C2211yescharacteristic, complemented
142#17988465C2211yescharacteristic, complemented
143#17988464C2211yescharacteristic, complemented
144#17988463C2211yescharacteristic, complemented
145#17988463C2211yescharacteristic, complemented
146#17988463C2211yescharacteristic, complemented
147#17988463C2211yescharacteristic, complemented
148#17988462C2211yescharacteristic, complemented
149#17988462C2211yescharacteristic, complemented
150#17988461C2211yescharacteristic, complemented
151#17988461C2211yescharacteristic, complemented
152#17988461C2211yescharacteristic, complemented
153#17988460C2211yescharacteristic, complemented
154#17988460C2211yescharacteristic, complemented
155#17988460C2211yescharacteristic, complemented
156#17988460C2211yescharacteristic, complemented
157#17988460C2211yescharacteristic, complemented
158#17988460C2211yescharacteristic, complemented
159#17988459C2211yescharacteristic, complemented
160#17988454C2211yescharacteristic, complemented
161#17988451C2211yescharacteristic, complemented
162#17988449C2211yescharacteristic, complemented
163#17988449C2211yescharacteristic, complemented
164#17988447C2211yescharacteristic, complemented
165#17988446C2211yescharacteristic, complemented
166#17988446C2211yescharacteristic, complemented
167#17988445C2211yescharacteristic, complemented
168#17988443C2211yescharacteristic
169#17988443C2211yescharacteristic, complemented
170#17988442C2211yescharacteristic, complemented
171C4×C22⋊Dic73C2211yescharacteristic, complemented
172C4×C22⋊Dic73C2211yescharacteristic, complemented
173C4×C22⋊Dic73C2211yescharacteristic, complemented
174C23×D4×C73C2211yescharacteristic
175C24×C4×C73C2211yescharacteristic
176C22×C22⋊C4×C73C2211yescharacteristic
177C22×C22⋊C4×C73C2211yescharacteristic, complemented
178C22×C22⋊C4×C73C2211yescharacteristic, complemented
179#386×C73C2211yescharacteristic
180#386×C73C2211yescharacteristic
181#386×C73C2211yescharacteristic
182#386×C73C2211yescharacteristic
183#386×C73C2211yescharacteristic, complemented
184#386×C73C2211yescharacteristic, complemented
185#386×C73C2211yescharacteristic, complemented
186#386×C73C2211yescharacteristic, complemented
187C2×#95×C73C2211yescharacteristic, complemented
188C2×#95×C73C2211yescharacteristic, complemented
189C24×D73C2311yescharacteristic
190C22×Dic146C2311yescharacteristic
191C22×D292C2311yescharacteristic
192C22×D292C2311yescharacteristic
193C22×C22⋊D73—24no—
194C22×C22⋊D73—24no—
195C22×C22⋊D73—24no—
196C22×C22⋊D73C2311yescharacteristic
197C22×C22⋊D73C2311yescharacteristic
198C22×C22⋊D73C2311yescharacteristic
199C22×C22⋊D73C2311yescharacteristic
200C22×C22⋊D73C2311yescharacteristic
201C22×C22⋊D73C2311yescharacteristic
202C22×C22⋊D73C2311yescharacteristic
203C22×C22⋊D73C2311yescharacteristic
204C22×C22⋊D73C2311yescharacteristic
205C22×C22⋊D73C2311yescharacteristic
206C22×C22⋊D73C2311yescharacteristic
207C22×C22⋊D73C2311yescharacteristic
208C22×C22⋊D73C2311yescharacteristic
209C23×Dic73C2311yescharacteristic
210C23×Dic73C2311yescharacteristic
211C23×Dic73C2311yescharacteristic
212C22×C4×D73—24no—
213C22×C4×D73—42no—
214C22×C4×D73—42no—
215C22×C4×D73C2311yescharacteristic
216C22×C4×D73C2311yescharacteristic
217C22×C4×D73C2311yescharacteristic
218C22×C4×D73C2311yescharacteristic
219C22×C4×D73C2311yescharacteristic
220#14556584—24no—
221#14556584—24no—
222#14556577—24no—
223#14556577—24no—
224#14556573—24no—
225#14556573—24no—
226#14556573—42no—
227#14556570—24no—
228#14556568—42no—
229#14556565—24no—
230#14556565—24no—
231#14556564—24no—
232#14556564—24no—
233#14556564—42no—
234#14556563—42no—
235#14556563—42no—
236#14556561—42no—
237#14556560—24no—
238#14556560—24no—
239#14556560—24no—
240#14556560—24no—
241#14556559—42no—
242#14556559—42no—
243C4×C22⋊D73—24no—
244C4×C22⋊D73—24no—
245C4×C22⋊D73—24no—
246C4×C22⋊D73—24no—
247C4×C22⋊D73—24no—
248C4×C22⋊D73—24no—
249C4×C22⋊D73—24no—
250C4×C22⋊D73—24no—
251C4×C22⋊D73—42no—
252C4×C22⋊D73—42no—
253C4×C22⋊D73D418yescomplemented
254C2×C4⋊Dic73C2311yescharacteristic
255C2×C4⋊Dic73C2311yescharacteristic
256C2×C4⋊Dic73C2311yescharacteristic
257C2×C4⋊Dic73C2311yescharacteristic
258C2×C4⋊Dic73C2311yescharacteristic
259C2×#11924007—24no—
260C2×#11924007C2311yescharacteristic
261C2×#11924007C2311yescharacteristic
262C2×#11924007C2311yescharacteristic
263C2×#11924007C2311yescharacteristic
264C2×#11924007C2311yescharacteristic
265C2×#11924007C2311yescharacteristic
266C2×#11924007C2311yescharacteristic
267C2×#11924007C2311yescharacteristic
268C2×#11924007C2311yescharacteristic
269C2×#11924007C2311yescharacteristic
270C2×#11924007C2311yescharacteristic
271C2×#11924007C2311yescharacteristic
272C2×#11924007C2311yescharacteristic
273C2×#11924007C2311yescharacteristic
274C2×#11924007C2311yescharacteristic
275C2×C22⋊Dic73—24no—
276C2×C22⋊Dic73C2311yescharacteristic
277C2×C22⋊Dic73C2311yescharacteristic
278C2×C22⋊Dic73C2311yescharacteristic
279C2×C22⋊Dic73C2311yescharacteristic
280C2×C22⋊Dic73C2311yescharacteristic
281C2×C22⋊Dic73C2311yescharacteristic
282C2×C22⋊Dic73C2311yescharacteristic
283C2×C22⋊Dic73C2311yescharacteristic
284C2×C22⋊Dic73C2311yescharacteristic
285C2×C22⋊Dic73C2311yescharacteristic
286C2×C22⋊Dic73C2311yescharacteristic
287C2×C22⋊Dic73C2311yescharacteristic
288C2×C22⋊Dic73C2311yescharacteristic
289C2×C22⋊Dic73C2311yescharacteristic
290C2×C22⋊Dic73C2311yescharacteristic
291C2×C22⋊Dic73C2311yescharacteristic
292C2×C22⋊Dic73C2311yescharacteristic
293C2×C22⋊Dic73C2311yescharacteristic
294C2×C22⋊Dic73C2311yescharacteristic
295C2×C22⋊Dic73C2311yescharacteristic
296C2×C22⋊Dic73C2311yescharacteristic
297C2×C22⋊Dic73C2311yescharacteristic
298C2×C22⋊Dic73C2311yescharacteristic
299C2×#11924005—24no—
300C2×#11924005C2311yescharacteristic
301C2×#11924005C2311yescharacteristic
302C2×#11924005C2311yescharacteristic
303C2×#11924005C2311yescharacteristic
304C2×#11924005C2311yescharacteristic
305C2×#11924005C2311yescharacteristic
306C2×#11924005C2311yescharacteristic
307C2×#11924005C2311yescharacteristic
308C2×#11924005C2311yescharacteristic
309C2×#11924005C2311yescharacteristic
310C2×#11924005C2311yescharacteristic
311C2×#11924005C2311yescharacteristic
312C2×#11924005C2311yescharacteristic
313C2×#11924005C2311yescharacteristic
314C2×#11924005C2311yescharacteristic
315C2×#11924005C2311yescharacteristic
316C2×#11924005C2311yescharacteristic
317C2×#11924005C2311yescharacteristic
318C2×#11924005C2311yescharacteristic
319C2×#11924005C2311yescharacteristic
320C2×#11924005C2311yescharacteristic
321C2×C4×Dic73—24no—
322C2×C4×Dic73C2311yescharacteristic
323C2×C4×Dic73C2311yescharacteristic
324C2×C4×Dic73C2311yescharacteristic
325C2×C4×Dic73C2311yescharacteristic
326C2×C4×Dic73C2311yescharacteristic
327C2×C4×Dic73C2311yescharacteristic
328C2×C4×Dic73C2311yescharacteristic
329#14556498C2311yescharacteristic
330#14556498C2311yescharacteristic
331#14556498C2311yescharacteristic
332#14556498C2311yescharacteristic
333#14556498C2311yescharacteristic
334#14556498C2311yescharacteristic
335#14556498C2311yescharacteristic
336#14556498C2311yescharacteristic
337#14556498C2311yescharacteristic
338#14556498C2311yescharacteristic
339#14556498C2311yescharacteristic
340#14556498C2311yescharacteristic
341#14556498C2311yescharacteristic
342#14556498C2311yescharacteristic
343#14556498C2311yescharacteristic
344#14556498C2311yescharacteristic
345#14556498C2311yescharacteristic
346#14556498C2311yescharacteristic
347#14556498C2311yescharacteristic
348#14556498C2311yescharacteristic
349#14556498C2311yescharacteristic
350#14556498C2311yescharacteristic
351#14556498C2311yescharacteristic
352#14556498C2311yescharacteristic
353C25×C73C2311yescharacteristic
354C25×C73C2311yescharacteristic
355C22×D4×C73—24no—
356C22×D4×C73—42no—
357C22×D4×C73—42no—
358C22×D4×C73C2311yescharacteristic
359C22×D4×C73C2311yescharacteristic
360C22×D4×C73C2311yescharacteristic
361C22×D4×C73C2311yescharacteristic
362C23×C4×C73—24no—
363C23×C4×C73—42no—
364C23×C4×C73—42no—
365C23×C4×C73C2311yescharacteristic
366C23×C4×C73C2311yescharacteristic
367C23×C4×C73C2311yescharacteristic
368C23×C4×C73C2311yescharacteristic
369C23×C4×C73C2311yescharacteristic
370C23×C4×C73C2311yescharacteristic
371C23×C4×C73C2311yescharacteristic
372C23×C4×C73C2311yescharacteristic
373C23×C4×C73C2311yescharacteristic
374C2×C22⋊C4×C73—24no—
375C2×C22⋊C4×C73—42no—
376C2×C22⋊C4×C73—42no—
377C2×C22⋊C4×C73C2311yescharacteristic
378C2×C22⋊C4×C73C2311yescharacteristic
379C2×C22⋊C4×C73C2311yescharacteristic
380C2×C22⋊C4×C73C2311yescharacteristic
381C2×C22⋊C4×C73C2311yescharacteristic
382C2×C22⋊C4×C73C2311yescharacteristic
383C2×C22⋊C4×C73C2311yescharacteristic
384C2×C22⋊C4×C73C2311yescharacteristic
385C2×C22⋊C4×C73C2311yescharacteristic
386C2×C22⋊C4×C73C2311yescharacteristic
387C2×C22⋊C4×C73C2311yescharacteristic
388C2×C22⋊C4×C73C2311yescharacteristic
389#95×C73C2311yescharacteristic
390#95×C73C2311yescharacteristic
391#95×C73C2311yescharacteristic
392#95×C73C2311yescharacteristic
393#95×C73C2311yescharacteristic
394#95×C73C2311yescharacteristic
395#95×C73C2311yescharacteristic
396#95×C73C2311yescharacteristic
397C23×D73—22no—
398C23×D73—22no—
399C23×D73—22no—
400C23×D73—22no—
401C23×D73—22no—
402C23×D73—41no—
403C23×D73—41no—
404C23×D73C2411yescharacteristic
405C23×D73C2411yescharacteristic
406C23×D73C2411yescharacteristic
407C2×Dic146—22no—
408C2×Dic146—41no—
409C2×Dic146—41no—
410C2×D292—22no—
411C2×D292—22no—
412C2×D292—41no—
413C2×D292—41no—
414C2×D292—41no—
415C2×D292—41no—
416C2×C22⋊D73—232no—
417C2×C22⋊D73—22no—
418C2×C22⋊D73—22no—
419C2×C22⋊D73—22no—
420C2×C22⋊D73—22no—
421C2×C22⋊D73—22no—
422C2×C22⋊D73—22no—
423C2×C22⋊D73—22no—
424C2×C22⋊D73—22no—
425C2×C22⋊D73—22no—
426C2×C22⋊D73—22no—
427C2×C22⋊D73—22no—
428C2×C22⋊D73—22no—
429C2×C22⋊D73—22no—
430C2×C22⋊D73—22no—
431C2×C22⋊D73—22no—
432C2×C22⋊D73—22no—
433C2×C22⋊D73—22no—
434C2×C22⋊D73—22no—
435C2×C22⋊D73—22no—
436C2×C22⋊D73—22no—
437C2×C22⋊D73—22no—
438C2×C22⋊D73—22no—
439C2×C22⋊D73—22no—
440C2×C22⋊D73—41no—
441C2×C22⋊D73—41no—
442C2×C22⋊D73—41no—
443C2×C22⋊D73—41no—
444C2×C22⋊D73—41no—
445C2×C22⋊D73—41no—
446C2×C22⋊D73—41no—
447C2×C22⋊D73—41no—
448C2×C22⋊D73—41no—
449C2×C22⋊D73—41no—
450C2×C22⋊D73—41no—
451C2×C22⋊D73—41no—
452C2×C22⋊D73—41no—
453C2×C22⋊D73—41no—
454C2×C22⋊D73C2×D414yes—
455C2×C22⋊D73#4114yes—
456C22×Dic73—22no—
457C22×Dic73—22no—
458C22×Dic73—22no—
459C22×Dic73—22no—
460C22×Dic73—22no—
461C22×Dic73—22no—
462C22×Dic73—22no—
463C22×Dic73—41no—
464C22×Dic73—41no—
465C22×Dic73C2411yescharacteristic
466C22×Dic73C2411yescharacteristic
467C22×Dic73C2411yescharacteristic
468C22×Dic73C2411yescharacteristic
469C22×Dic73C2411yescharacteristic
470C22×Dic73C2411yescharacteristic
471C22×Dic73C2411yescharacteristic
472C22×Dic73C2411yescharacteristic
473C22×Dic73C2411yescharacteristic
474C22×Dic73C2411yescharacteristic
475C22×Dic73C2411yescharacteristic
476C22×Dic73C2411yescharacteristic
477C22×Dic73C2411yescharacteristic
478C2×C4×D73—22no—
479C2×C4×D73—22no—
480C2×C4×D73—22no—
481C2×C4×D73—22no—
482C2×C4×D73—22no—
483C2×C4×D73—22no—
484C2×C4×D73—41no—
485C2×C4×D73—41no—
486C2×C4×D73—41no—
487C2×C4×D73—41no—
488C2×C4×D73—41no—
489C2×C4×D73—41no—
490C2×C4×D73—416no—
491C2×C4×D73—41no—
492C2×C4×D73—41no—
493C2×C4×D73C2×D414yescomplemented
494C4⋊Dic73—22no—
495C4⋊Dic73—22no—
496C4⋊Dic73—22no—
497C4⋊Dic73—41no—
498C4⋊Dic73—41no—
499#11924007—22no—
500#11924007—22no—
501#11924007—22no—
502#11924007—22no—
503#11924007—22no—
504#11924007—22no—
505#11924007—22no—
506#11924007—41no—
507#11924007—41no—
508#11924007—41no—
509#11924007—41no—
510#11924007—41no—
511#11924007—41no—
512#11924007—41no—
513#11924007C2×D414yescomplemented
514C22⋊Dic73—22no—
515C22⋊Dic73—22no—
516C22⋊Dic73—22no—
517C22⋊Dic73—22no—
518C22⋊Dic73—22no—
519C22⋊Dic73—22no—
520C22⋊Dic73—22no—
521C22⋊Dic73—22no—
522C22⋊Dic73—22no—
523C22⋊Dic73—22no—
524C22⋊Dic73—22no—
525C22⋊Dic73—22no—
526C22⋊Dic73—22no—
527C22⋊Dic73—22no—
528C22⋊Dic73—22no—
529C22⋊Dic73—22no—
530C22⋊Dic73—41no—
531C22⋊Dic73—41no—
532C22⋊Dic73—41no—
533C22⋊Dic73—41no—
534C22⋊Dic73—41no—
535C22⋊Dic73—41no—
536C22⋊Dic73C2×D414yes—
537#11924005—22no—
538#11924005—22no—
539#11924005—22no—
540#11924005—22no—
541#11924005—22no—
542#11924005—22no—
543#11924005—22no—
544#11924005—22no—
545#11924005—22no—
546#11924005—41no—
547#11924005—41no—
548#11924005—41no—
549#11924005—41no—
550#11924005—41no—
551#11924005—41no—
552#11924005—41no—
553#11924005—41no—
554#11924005—41no—
555#11924005—41no—
556#11924005—41no—
557#11924005C2×D414yescomplemented
558C4×Dic73—22no—
559C4×Dic73—22no—
560C4×Dic73—22no—
561C4×Dic73—22no—
562C4×Dic73—41no—
563C4×Dic73—41no—
564C4×Dic73C2×D414yescomplemented
565C24×C73—22no—
566C24×C73—22no—
567C24×C73—22no—
568C24×C73—22no—
569C24×C73—22no—
570C24×C73—22no—
571C24×C73—22no—
572C24×C73—41no—
573C24×C73—41no—
574C24×C73—41no—
575C24×C73—41no—
576C24×C73—41no—
577C24×C73—41no—
578C24×C73#4114yes—
579C24×C73C2411yescharacteristic
580C24×C73C2411yescharacteristic
581C24×C73C2411yescharacteristic
582C24×C73C2411yescharacteristic
583C24×C73C2411yescharacteristic
584C2×D4×C73—22no—
585C2×D4×C73—22no—
586C2×D4×C73—22no—
587C2×D4×C73—22no—
588C2×D4×C73—22no—
589C2×D4×C73—22no—
590C2×D4×C73—22no—
591C2×D4×C73—22no—
592C2×D4×C73—41no—
593C2×D4×C73—41no—
594C2×D4×C73—41no—
595C2×D4×C73—41no—
596C2×D4×C73—416no—
597C22×C4×C73—22no—
598C22×C4×C73—22no—
599C22×C4×C73—22no—
600C22×C4×C73—22no—
601C22×C4×C73—22no—
602C22×C4×C73—22no—
603C22×C4×C73—22no—
604C22×C4×C73—22no—
605C22×C4×C73—22no—
606C22×C4×C73—22no—
607C22×C4×C73—22no—
608C22×C4×C73—22no—
609C22×C4×C73—22no—
610C22×C4×C73—41no—
611C22×C4×C73—41no—
612C22×C4×C73—41no—
613C22×C4×C73—41no—
614C22×C4×C73—41no—
615C22×C4×C73—41no—
616C22×C4×C73—41no—
617C22×C4×C73—41no—
618C22×C4×C73—41no—
619C22×C4×C73—41no—
620C22×C4×C73—41no—
621C22×C4×C73—41no—
622C22×C4×C73—41no—
623C22×C4×C73—416no—
624C22×C4×C73C2×D414yes—
625C22×C4×C73C2411yescharacteristic
626C22×C4×C73C2411yescharacteristic
627C22×C4×C73C2411yescharacteristic
628C22×C4×C73C2411yescharacteristic
629C22×C4×C73C2411yescharacteristic
630C22×C4×C73C2411yescharacteristic
631C22×C4×C73C2411yescharacteristic
632C22×C4×C73C2411yescharacteristic
633C22×C4×C73C2411yescharacteristic
634C22×C4×C73C2411yescharacteristic
635C22⋊C4×C73—22no—
636C22⋊C4×C73—22no—
637C22⋊C4×C73—22no—
638C22⋊C4×C73—22no—
639C22⋊C4×C73—22no—
640C22⋊C4×C73—22no—
641C22⋊C4×C73—22no—
642C22⋊C4×C73—22no—
643C22⋊C4×C73—41no—
644C22⋊C4×C73—41no—
645C22⋊C4×C73—41no—
646C22⋊C4×C73—41no—
647C23×C73—21no—
648C23×C73—21no—
649C23×C73—21no—
650C23×C73—21no—
651C23×C73—21no—
652C23×C73—21no—
653C23×C73—21no—
654C23×C73—21no—
655C23×C73—28no—
656C23×C73—28no—
657C23×C73—21no—
658C23×C73—21no—
659C23×C73—21no—
660C23×C73—21no—
661C23×C73—21no—
662C23×C73—21no—
663C23×C73—21no—
664C23×C73—21no—
665C23×C73—21no—
666C23×C73—21no—
667C23×C73—21no—
668C23×C73—21no—
669C23×C73—21no—
670C23×C73—21no—
671C23×C73—21no—
672C23×C73—21no—
673C23×C73—21no—
674C23×C73—21no—
675C23×C73—21no—
676C23×C73—21no—
677C23×C73—44no—
678C23×C73—44no—
679C23×C73—44no—
680C23×C73—44no—
681C23×C73—44no—
682C23×C73—44no—
683C23×C73—44no—
684C23×C73—44no—
685C23×C73—82no—
686C23×C73—82no—
687C23×C73—82no—
688C23×C73—82no—
689C23×C73C22×D412yes—
690C23×C73C2×#4112yes—
691C23×C73C2×#4112yes—
692C23×C73C2×#4112yes—
693C23×C73C2×#4112yes—
694C23×C73H(5,𝔽2)12yes—
695C23×C73H(5,𝔽2)12yes—
696C23×C73C2511yescharacteristic
697C22×D73—28no—
698C22×D73—21no—
699C22×D73—21no—
700C22×D73—21no—
701C22×D73—21no—
702C22×D73—21no—
703C22×D73—21no—
704C22×D73—21no—
705C22×D73—21no—
706C22×D73—21no—
707C22×D73—21no—
708C22×D73—21no—
709C22×D73—21no—
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—21no—
713C22×D73—21no—
714C22×D73—21no—
715C22×D73—21no—
716C22×D73—21no—
717C22×D73—44no—
718C22×D73—44no—
719C22×D73—44no—
720C22×D73—44no—
721C22×D73—44no—
722C22×D73—44no—
723C22×D73C22×D412yes—
724C22×D73C2×#4112yes—
725D4×C73—44no—
726D4×C73—44no—
727D4×C73—44no—
728D4×C73—44no—
729C2×C4×C73—28no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—44no—
758C2×C4×C73—44no—
759C2×C4×C73—44no—
760C2×C4×C73—44no—
761C2×C4×C73—44no—
762C2×C4×C73—44no—
763C2×C4×C73—82no—
764C2×C4×C73—82no—
765C2×C4×C73C22×D412yes—
766C2×C4×C73C22×D412yes—
767C2×C4×C73H(5,𝔽2)12yes—
768C22⋊D73—28no—
769C22⋊D73—28no—
770C22⋊D73—28no—
771C22⋊D73—28no—
772C22⋊D73—44no—
773C22⋊D73—44no—
774C22⋊D73—44no—
775C22⋊D73—82no—
776C22⋊D73—82no—
777C22⋊D73—82no—
778C22⋊D73—82no—
779C22⋊D73—82no—
780C22⋊D73—82no—
781C2×Dic73—28no—
782C2×Dic73—21no—
783C2×Dic73—21no—
784C2×Dic73—21no—
785C2×Dic73—21no—
786C2×Dic73—21no—
787C2×Dic73—21no—
788C2×Dic73—21no—
789C2×Dic73—21no—
790C2×Dic73—21no—
791C2×Dic73—21no—
792C2×Dic73—21no—
793C2×Dic73—21no—
794C2×Dic73—21no—
795C2×Dic73—21no—
796C2×Dic73—21no—
797C2×Dic73—21no—
798C2×Dic73—21no—
799C2×Dic73—21no—
800C2×Dic73—21no—
801C2×Dic73—21no—
802C2×Dic73—21no—
803C2×Dic73—21no—
804C2×Dic73—21no—
805C2×Dic73—21no—
806C2×Dic73—21no—
807C2×Dic73—21no—
808C2×Dic73—21no—
809C2×Dic73—21no—
810C2×Dic73—21no—
811C2×Dic73—21no—
812C2×Dic73—21no—
813C2×Dic73—21no—
814C2×Dic73—21no—
815C2×Dic73—21no—
816C2×Dic73—21no—
817C2×Dic73—44no—
818C2×Dic73—44no—
819C2×Dic73C22×D412yes—
820C2×Dic73C22×D412yes—
821C2×Dic73C22×D412yes—
822C2×Dic73C2×#4112yes—
823D292—82no—
824D292—82no—
825C4×D73—44no—
826C4×D73—44no—
827C4×D73—44no—
828C4×D73—44no—
829C4×D73—82no—
830Dic146—82no—
831C22×C73—22no—
832C22×C73—22no—
833C22×C73—22no—
834C22×C73—22no—
835C22×C73—22no—
836C22×C73—22no—
837C22×C73—22no—
838C22×C73—22no—
839C22×C73—22no—
840C22×C73—22no—
841C22×C73—22no—
842C22×C73—22no—
843C22×C73—22no—
844C22×C73—22no—
845C22×C73—22no—
846C22×C73—416no—
847C22×C73—41no—
848C22×C73—41no—
849C22×C73—41no—
850C22×C73—41no—
851C22×C73—41no—
852C22×C73—41no—
853C22×C73—41no—
854C22×C73—41no—
855C22×C73—41no—
856C22×C73—41no—
857C22×C73—41no—
858C22×C73—41no—
859C22×C73—41no—
860C22×C73—41no—
861C22×C73—41no—
862C22×C73—41no—
863C22×C73—41no—
864C22×C73—41no—
865C22×C73—88no—
866C22×C73#52514yes—
867C22×C73#53814yescomplemented
868C22×C73C23×D411yescharacteristic
869C22×C73C22×#4111yescharacteristic
870C22×C73C22×#4111yescharacteristic
871C22×C73C2×H(5,𝔽2)11yescharacteristic
872C22×C73C2×H(5,𝔽2)11yescharacteristic
873C22×C73C2×H(5,𝔽2)11yescharacteristic
874C22×C73#58511yescharacteristic
875C2×D73—22no—
876C2×D73—22no—
877C2×D73—22no—
878C2×D73—22no—
879C2×D73—22no—
880C2×D73—22no—
881C2×D73—416no—
882C2×D73—41no—
883C2×D73—41no—
884C2×D73—41no—
885C2×D73—41no—
886C2×D73—41no—
887C2×D73—41no—
888C2×D73—41no—
889C2×D73—41no—
890C2×D73—41no—
891C2×D73—41no—
892C2×D73—41no—
893C2×D73—41no—
894C2×D73—41no—
895C2×D73—41no—
896C2×D73—41no—
897C4×C73—22no—
898C4×C73—22no—
899C4×C73—22no—
900C4×C73—41no—
901C4×C73—41no—
902C4×C73—41no—
903C4×C73—41no—
904C4×C73—41no—
905C4×C73—41no—
906C4×C73—41no—
907Dic73—22no—
908Dic73—22no—
909Dic73—22no—
910Dic73—22no—
911Dic73—41no—
912Dic73—41no—
913Dic73—41no—
914Dic73—41no—
915Dic73—41no—
916Dic73—41no—
917Dic73—41no—
918Dic73—41no—
919Dic73—41no—
920#34990—731nomaximal, Sylow
921C2×C73—24no—
922C2×C73—24no—
923C2×C73—42no—
924C2×C73—81no—
925C2×C73—81no—
926C2×C73C2×#52511yescharacteristic
927C2×C73C2×#53811yescharacteristic
928C2×C73#345911yescharacteristic
929C2×C73#348411yescharacteristic
930C2×C73#348811yescharacteristic
931C2×C73#351311yescharacteristic
932C2×C73#351911yescharacteristic
933D73—42no—
934D73—42no—
935D73—81no—
936C2×#538—731no—
937C22×C4×D4—731no—
938#2852—731no—
939#2850—731no—
940#2849—731no—
941#2847—731no—
942#2636—731no—
943#2635—731no—
944#2631—731no—
945#2630—731no—
946#2481—731no—
947#2472—731no—
948#2467—731no—
949#2459—731no—
950#2456—731no—
951#2456—731no—
952#2450—731no—
953#2444—731no—
954#2443—731no—
955#2437—731no—
956#2424—731no—
957#2424—731no—
958#2418—731no—
959#2410—731no—
960#2410—731no—
961#2403—731no—
962#2325—731no—
963#2321—731no—
964#2318—731no—
965C4×#120—731no—
966C2×#386D7311yescharacteristic, complemented
967C73#3499011yescharacteristic, complemented, Sylow
968C23×D4—731no—
969C23×D4C2×D7311yescharacteristic
970C24×C4—731no—
971C24×C4C2×D7311yescharacteristic
972#538—1468no—
973C2×#126—731no—
974C2×#126—731no—
975C2×#124—731no—
976C2×#124—731no—
977C2×#123—731no—
978C2×#123—731no—
979C2×#123—731no—
980C2×C22⋊Q8—731no—
981C2×C22⋊Q8—731no—
982C2×#121—731no—
983C2×#121—731no—
984C2×#121—731no—
985C2×#121—731no—
986C2×#121—731no—
987C2×#121—731no—
988C2×#121—731no—
989C2×#120—731no—
990C2×#120—731no—
991C2×#120—731no—
992C2×#120—731no—
993C2×#120—731no—
994C2×#120—731no—
995C2×#120—731no—
996C2×C4×D4—731no—
997C2×C4×D4—731no—
998C2×C4×D4—731no—
999C2×C4×D4—731no—
1000C2×C4×D4—731no—
1001C2×C4×D4—731no—
1002C2×C4×D4—731no—
1003C2×C4×D4—731no—
1004C2×C4×D4—731no—
1005C2×C4×D4—731no—
1006C2×C4×D4—731no—
1007C2×C4×D4—1468no—
1008C22×C4⋊C4—731no—
1009C22×C22⋊C4—731no—
1010C22×C22⋊C4—731no—
1011C22×C22⋊C4C2×D7311yescharacteristic
1012C22×C22⋊C4C2×D7311yescharacteristic, complemented
1013C22×C22⋊C4C2×D7311yescharacteristic, complemented
1014C22×C42—731no—
1015#400—731no—
1016#400—731no—
1017#399—731no—
1018#399—731no—
1019#398—731no—
1020#397—731no—
1021#397—731no—
1022#397—731no—
1023#396—731no—
1024#396—731no—
1025#396—731no—
1026#396—731no—
1027#394—731no—
1028#394—731no—
1029#394—731no—
1030#394—731no—
1031#394—731no—
1032#394—731no—
1033#394—731no—
1034#394—731no—
1035#394—731no—
1036#393—731no—
1037#393—731no—
1038#392—731no—
1039#392—731no—
1040#392—731no—
1041#392—731no—
1042#392—731no—
1043#392—731no—
1044#392—731no—
1045#392—731no—
1046#392—731no—
1047#391—731no—
1048#390—731no—
1049#390—731no—
1050#390—731no—
1051#388—731no—
1052#388—731no—
1053#388—731no—
1054#388—731no—
1055#388—731no—
1056#388—731no—
1057#388—731no—
1058#388—731no—
1059#388—731no—
1060#388—731no—
1061#388—731no—
1062#388—731no—
1063#387—731no—
1064#387—731no—
1065#387—731no—
1066#387—731no—
1067#387—731no—
1068#387—731no—
1069#386—731no—
1070#386—731no—
1071#386—731no—
1072#386—731no—
1073#386—731no—
1074#386—731no—
1075#386—731no—
1076#386—731no—
1077#386—731no—
1078#386—731no—
1079#386—731no—
1080#386—731no—
1081#386—731no—
1082#386—731no—
1083#386—731no—
1084#386—731no—
1085#386—731no—
1086#386—731no—
1087#386—731no—
1088#386—731no—
1089#386C2×D7311yescharacteristic
1090#386C2×D7311yescharacteristic
1091#386C2×D7311yescharacteristic
1092#386C2×D7311yescharacteristic
1093#386C2×D7311yescharacteristic, complemented
1094#386C2×D7311yescharacteristic, complemented
1095#386C2×D7311yescharacteristic, complemented
1096#386C2×D7311yescharacteristic, complemented
1097#385—731no—
1098#385—731no—
1099#385—731no—
1100#385—731no—
1101#385—731no—
1102#385—731no—
1103#385—731no—
1104#385—731no—
1105#385—731no—
1106#385—731no—
1107#385—731no—
1108#385—731no—
1109#383—731no—
1110#382—731no—
1111#381—731no—
1112#381—731no—
1113#380—731no—
1114#380—731no—
1115#380—731no—
1116#380—731no—
1117#379—731no—
1118#379—731no—
1119#379—731no—
1120C4×C22⋊C4—731no—
1121C4×C22⋊C4—731no—
1122C4×C22⋊C4—731no—
1123C2×#95C2×D7311yescharacteristic, complemented
1124C2×#95C2×D7311yescharacteristic, complemented
1125C25—731no—
1126C25C22×D7311yescharacteristic
1127C25C22×D7311yescharacteristic
1128C22×Q8—731no—
1129C22×D4—24no—
1130C22×D4—42no—
1131C22×D4—42no—
1132C22×D4—731no—
1133C22×D4—731no—
1134C22×D4—731no—
1135C22×D4—731no—
1136C22×D4—731no—
1137C22×D4—731no—
1138C22×D4—731no—
1139C22×D4—731no—
1140C22×D4—731no—
1141C22×D4—731no—
1142C22×D4—731no—
1143C22×D4—731no—
1144C22×D4—731no—
1145C22×D4—731no—
1146C22×D4—731no—
1147C22×D4—1464no—
1148C22×D4—1464no—
1149C22×D4—1464no—
1150C22×D4C22×D7311yescharacteristic
1151C22×D4C22×D7311yescharacteristic
1152C22×D4C22×D7311yescharacteristic
1153C22×D4C22×D7311yescharacteristic
1154C23×C4—24no—
1155C23×C4—42no—
1156C23×C4—42no—
1157C23×C4—2922no—
1158C23×C4—2922no—
1159C23×C4—731no—
1160C23×C4—731no—
1161C23×C4—731no—
1162C23×C4—731no—
1163C23×C4—731no—
1164C23×C4—731no—
1165C23×C4—731no—
1166C23×C4—731no—
1167C23×C4—1464no—
1168C23×C4C22×D7311yescharacteristic
1169C23×C4C22×D7311yescharacteristic
1170C23×C4C22×D7311yescharacteristic
1171C23×C4C22×D7311yescharacteristic
1172C23×C4C22×D7311yescharacteristic
1173C23×C4C22×D7311yescharacteristic
1174C23×C4C22×D7311yescharacteristic
1175C23×C4C22×D7311yescharacteristic
1176C23×C4C22×D7311yescharacteristic
1177#126—1464no—
1178#126—1464no—
1179#124—1464no—
1180#124—1464no—
1181#123—2922no—
1182#123—1464no—
1183#123—1464no—
1184C22⋊Q8—2922no—
1185C22⋊Q8—1464no—
1186#121—2922no—
1187#121—2922no—
1188#121—2922no—
1189#121—1464no—
1190#121—1464no—
1191#121—1464no—
1192#121—1464no—
1193#120—2922no—
1194#120—2922no—
1195#120—2922no—
1196#120—1464no—
1197#120—1464no—
1198#120—1464no—
1199#120—1464no—
1200C4×D4—2922no—
1201C4×D4—2922no—
1202C4×D4—738no—
1203C4×D4—1464no—
1204C4×D4—1464no—
1205C4×D4—1464no—
1206C4×D4—1464no—
1207C4×D4—1464no—
1208C4×D4—1464no—
1209C4×D4—1464no—
1210C4×D4—1464no—
1211C2×C4⋊C4—731no—
1212C2×C4⋊C4—731no—
1213C2×C4⋊C4—731no—
1214C2×C4⋊C4—731no—
1215C2×C4⋊C4—731no—
1216C2×C4⋊C4—731no—
1217C2×C4⋊C4—731no—
1218C2×C4⋊C4—731no—
1219C2×C4⋊C4—731no—
1220C2×C4⋊C4—731no—
1221C2×C4⋊C4—731no—
1222C2×C4⋊C4—731no—
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—731no—
1225C2×C4⋊C4—731no—
1226C2×C4⋊C4—731no—
1227C2×C4⋊C4—731no—
1228C2×C4⋊C4—731no—
1229C2×C4⋊C4—731no—
1230C2×C4⋊C4—731no—
1231C2×C4⋊C4—1464no—
1232C2×C22⋊C4—24no—
1233C2×C22⋊C4—42no—
1234C2×C22⋊C4—42no—
1235C2×C22⋊C4—731no—
1236C2×C22⋊C4—731no—
1237C2×C22⋊C4—731no—
1238C2×C22⋊C4—731no—
1239C2×C22⋊C4—731no—
1240C2×C22⋊C4—731no—
1241C2×C22⋊C4—731no—
1242C2×C22⋊C4—731no—
1243C2×C22⋊C4—731no—
1244C2×C22⋊C4—731no—
1245C2×C22⋊C4—731no—
1246C2×C22⋊C4—731no—
1247C2×C22⋊C4—731no—
1248C2×C22⋊C4—731no—
1249C2×C22⋊C4—731no—
1250C2×C22⋊C4—731no—
1251C2×C22⋊C4—731no—
1252C2×C22⋊C4—731no—
1253C2×C22⋊C4—731no—
1254C2×C22⋊C4—731no—
1255C2×C22⋊C4—731no—
1256C2×C22⋊C4—731no—
1257C2×C22⋊C4—731no—
1258C2×C22⋊C4—731no—
1259C2×C22⋊C4—731no—
1260C2×C22⋊C4—731no—
1261C2×C22⋊C4—731no—
1262C2×C22⋊C4—731no—
1263C2×C22⋊C4—731no—
1264C2×C22⋊C4—731no—
1265C2×C22⋊C4—731no—
1266C2×C22⋊C4—731no—
1267C2×C22⋊C4—731no—
1268C2×C22⋊C4—731no—
1269C2×C22⋊C4—731no—
1270C2×C22⋊C4—731no—
1271C2×C22⋊C4—731no—
1272C2×C22⋊C4—731no—
1273C2×C22⋊C4—731no—
1274C2×C22⋊C4—731no—
1275C2×C22⋊C4—731no—
1276C2×C22⋊C4—731no—
1277C2×C22⋊C4—731no—
1278C2×C22⋊C4—731no—
1279C2×C22⋊C4—1464no—
1280C2×C22⋊C4—1464no—
1281C2×C22⋊C4C22×D7311yescharacteristic
1282C2×C22⋊C4C22×D7311yescharacteristic
1283C2×C22⋊C4C22×D7311yescharacteristic
1284C2×C22⋊C4C22×D7311yescharacteristic
1285C2×C22⋊C4C22×D7311yescharacteristic
1286C2×C22⋊C4C22×D7311yescharacteristic
1287C2×C22⋊C4C22×D7311yescharacteristic
1288C2×C22⋊C4C22×D7311yescharacteristic
1289C2×C22⋊C4C22×D7311yescharacteristic
1290C2×C22⋊C4C22×D7311yescharacteristic
1291C2×C22⋊C4C22×D7311yescharacteristic
1292C2×C22⋊C4C22×D7311yescharacteristic
1293C2×C42—731no—
1294C2×C42—731no—
1295C2×C42—731no—
1296C2×C42—731no—
1297C2×C42—731no—
1298C2×C42—731no—
1299C2×C42—731no—
1300C2×C42—1464no—
1301#95—731no—
1302#95—731no—
1303#95—731no—
1304#95—731no—
1305#95—731no—
1306#95—731no—
1307#95—731no—
1308#95—731no—
1309#95—731no—
1310#95—731no—
1311#95—731no—
1312#95—731no—
1313#95—731no—
1314#95—731no—
1315#95—731no—
1316#95—731no—
1317#95—731no—
1318#95—731no—
1319#95—731no—
1320#95—731no—
1321#95—731no—
1322#95—731no—
1323#95—731no—
1324#95—731no—
1325#95C22×D7311yescharacteristic
1326#95C22×D7311yescharacteristic
1327#95C22×D7311yescharacteristic
1328#95C22×D7311yescharacteristic
1329#95C22×D7311yescharacteristic
1330#95C22×D7311yescharacteristic
1331#95C22×D7311yescharacteristic
1332#95C22×D7311yescharacteristic
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—22no—
1339C24—22no—
1340C24—41no—
1341C24—41no—
1342C24—41no—
1343C24—41no—
1344C24—41no—
1345C24—41no—
1346C24—2921no—
1347C24—2921no—
1348C24—731no—
1349C24—731no—
1350C24—731no—
1351C24—1462no—
1352C24—1462no—
1353C24—1462no—
1354C24—1462no—
1355C24—1462no—
1356C24#1192402814yes—
1357C24C23×D7311yescharacteristic
1358C24C23×D7311yescharacteristic
1359C24C23×D7311yescharacteristic
1360C24C23×D7311yescharacteristic
1361C24C23×D7311yescharacteristic
1362C2×Q8—2921no—
1363C2×Q8—2921no—
1364C2×Q8—1462no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—41no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—41no—
1377C2×D4—416no—
1378C2×D4—2921no—
1379C2×D4—2921no—
1380C2×D4—2921no—
1381C2×D4—2921no—
1382C2×D4—2921no—
1383C2×D4—2921no—
1384C2×D4—2921no—
1385C2×D4—2921no—
1386C2×D4—2921no—
1387C2×D4—2921no—
1388C2×D4—2921no—
1389C2×D4—2921no—
1390C2×D4—2921no—
1391C2×D4—2921no—
1392C2×D4—2921no—
1393C2×D4—2921no—
1394C2×D4—2921no—
1395C2×D4—2921no—
1396C2×D4—734no—
1397C2×D4—734no—
1398C2×D4—1462no—
1399C2×D4—1462no—
1400C2×D4—1462no—
1401C2×D4—1462no—
1402C2×D4—1462no—
1403C2×D4—1462no—
1404C2×D4—1462no—
1405C2×D4—1462no—
1406C2×D4—1462no—
1407C2×D4—1462no—
1408C2×D4—1462no—
1409C2×D4—1462no—
1410C2×D4—1462no—
1411C2×D4—1462no—
1412C2×D4—1462no—
1413C2×D4—1462no—
1414C2×D4—1462no—
1415C2×D4—1462no—
1416C2×D4—1462no—
1417C2×D4—14632no—
1418C2×D4—1462no—
1419C2×D4—1462no—
1420C2×D4—1462no—
1421C2×D4—1462no—
1422C2×D4—1462no—
1423C2×D4—1462no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—41no—
1438C22×C4—41no—
1439C22×C4—41no—
1440C22×C4—41no—
1441C22×C4—41no—
1442C22×C4—41no—
1443C22×C4—41no—
1444C22×C4—41no—
1445C22×C4—41no—
1446C22×C4—41no—
1447C22×C4—41no—
1448C22×C4—41no—
1449C22×C4—41no—
1450C22×C4—416no—
1451C22×C4—29216no—
1452C22×C4—2921no—
1453C22×C4—2921no—
1454C22×C4—2921no—
1455C22×C4—2921no—
1456C22×C4—2921no—
1457C22×C4—2921no—
1458C22×C4—2921no—
1459C22×C4—2921no—
1460C22×C4—2921no—
1461C22×C4—2921no—
1462C22×C4—734no—
1463C22×C4—731no—
1464C22×C4—731no—
1465C22×C4—731no—
1466C22×C4—731no—
1467C22×C4—731no—
1468C22×C4—731no—
1469C22×C4—731no—
1470C22×C4—731no—
1471C22×C4—731no—
1472C22×C4—731no—
1473C22×C4—731no—
1474C22×C4—731no—
1475C22×C4—731no—
1476C22×C4—1462no—
1477C22×C4—1462no—
1478C22×C4—1462no—
1479C22×C4—1462no—
1480C22×C4—1462no—
1481C22×C4—1462no—
1482C22×C4—1462no—
1483C22×C4—1462no—
1484C22×C4—1462no—
1485C22×C4—1462no—
1486C22×C4—1462no—
1487C22×C4—1462no—
1488C22×C4—1462no—
1489C22×C4D4×D7314yes—
1490C22×C4C23×D7311yescharacteristic
1491C22×C4C23×D7311yescharacteristic
1492C22×C4C23×D7311yescharacteristic
1493C22×C4C23×D7311yescharacteristic
1494C22×C4C23×D7311yescharacteristic
1495C22×C4C23×D7311yescharacteristic
1496C22×C4C23×D7311yescharacteristic
1497C22×C4C23×D7311yescharacteristic
1498C22×C4C23×D7311yescharacteristic
1499C22×C4C23×D7311yescharacteristic
1500C4⋊C4—2921no—
1501C4⋊C4—2921no—
1502C4⋊C4—2921no—
1503C4⋊C4—2921no—
1504C4⋊C4—2921no—
1505C4⋊C4—2921no—
1506C4⋊C4—2921no—
1507C4⋊C4—2921no—
1508C4⋊C4—2921no—
1509C4⋊C4—734no—
1510C4⋊C4—1462no—
1511C4⋊C4—1462no—
1512C4⋊C4—1462no—
1513C4⋊C4—1462no—
1514C4⋊C4—1462no—
1515C4⋊C4—1462no—
1516C4⋊C4—1462no—
1517C4⋊C4—1462no—
1518C4⋊C4—1462no—
1519C4⋊C4—1462no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—2921no—
1533C22⋊C4—2921no—
1534C22⋊C4—2921no—
1535C22⋊C4—2921no—
1536C22⋊C4—2921no—
1537C22⋊C4—2921no—
1538C22⋊C4—2921no—
1539C22⋊C4—2921no—
1540C22⋊C4—2921no—
1541C22⋊C4—2921no—
1542C22⋊C4—2921no—
1543C22⋊C4—2921no—
1544C22⋊C4—2921no—
1545C22⋊C4—2921no—
1546C22⋊C4—2921no—
1547C22⋊C4—2921no—
1548C22⋊C4—2921no—
1549C22⋊C4—734no—
1550C22⋊C4—734no—
1551C22⋊C4—1462no—
1552C22⋊C4—1462no—
1553C22⋊C4—1462no—
1554C22⋊C4—1462no—
1555C22⋊C4—1462no—
1556C22⋊C4—1462no—
1557C22⋊C4—1462no—
1558C22⋊C4—1462no—
1559C22⋊C4—1462no—
1560C22⋊C4—1462no—
1561C22⋊C4—1462no—
1562C22⋊C4—1462no—
1563C22⋊C4—1462no—
1564C22⋊C4—1462no—
1565C22⋊C4—1462no—
1566C22⋊C4—1462no—
1567C22⋊C4—1462no—
1568C22⋊C4—1462no—
1569C22⋊C4—1462no—
1570C22⋊C4—1462no—
1571C22⋊C4—1462no—
1572C22⋊C4—1462no—
1573C22⋊C4—1462no—
1574C22⋊C4—1462no—
1575C22⋊C4—1462no—
1576C42—2921no—
1577C42—2921no—
1578C42—734no—
1579C42—1462no—
1580C42—1462no—
1581C42—1462no—
1582C42—1462no—
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—28no—
1598C23—28no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—21no—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—44no—
1614C23—44no—
1615C23—44no—
1616C23—44no—
1617C23—44no—
1618C23—44no—
1619C23—44no—
1620C23—44no—
1621C23—82no—
1622C23—82no—
1623C23—82no—
1624C23—82no—
1625C23—2924no—
1626C23—2924no—
1627C23—2924no—
1628C23—2924no—
1629C23—2924no—
1630C23—2924no—
1631C23—732no—
1632C23—732no—
1633C23—1468no—
1634C23—1461no—
1635C23—1461no—
1636C23—1461no—
1637C23—1461no—
1638C23—1461no—
1639C23—1461no—
1640C23—1461no—
1641C23—1461no—
1642C23—1461no—
1643C23—1461no—
1644C23—1461no—
1645C23—1461no—
1646C23—1461no—
1647C23—1461no—
1648C23—1461no—
1649C23—1461no—
1650C23—1461no—
1651C23—1461no—
1652C23—1461no—
1653C23C2×D4×D7312yes—
1654C23#41×D7312yes—
1655C23C2×#1192402812yes—
1656C23C2×#1192402812yes—
1657C23C2×#1192402812yes—
1658C23#1455663612yes—
1659C23#1455663612yes—
1660C23C24×D7311yescharacteristic
1661Q8—5842no—
1662D4—44no—
1663D4—44no—
1664D4—44no—
1665D4—44no—
1666D4—2924no—
1667D4—2924no—
1668D4—2924no—
1669D4—5842no—
1670D4—5842no—
1671D4—5842no—
1672D4—5842no—
1673D4—5842no—
1674D4—5842no—
1675D4—5842no—
1676D4—5842no—
1677D4—1468no—
1678D4—1468no—
1679D4—1468no—
1680D4—1468no—
1681C2×C4—28no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—82no—
1716C2×C4—82no—
1717C2×C4—2924no—
1718C2×C4—2924no—
1719C2×C4—2924no—
1720C2×C4—2924no—
1721C2×C4—2924no—
1722C2×C4—2924no—
1723C2×C4—5842no—
1724C2×C4—732no—
1725C2×C4—732no—
1726C2×C4—732no—
1727C2×C4—732no—
1728C2×C4—1461no—
1729C2×C4—1461no—
1730C2×C4—1461no—
1731C2×C4—1461no—
1732C2×C4—1461no—
1733C2×C4—1461no—
1734C2×C4—1461no—
1735C2×C4—1461no—
1736C2×C4—1461no—
1737C2×C4—1461no—
1738C2×C4—1461no—
1739C2×C4—1461no—
1740C2×C4—1461no—
1741C2×C4—1461no—
1742C2×C4—1461no—
1743C2×C4—1461no—
1744C2×C4—1461no—
1745C2×C4—1461no—
1746C2×C4—1461no—
1747C2×C4—1461no—
1748C2×C4—1461no—
1749C2×C4—1461no—
1750C2×C4—1461no—
1751C2×C4—1461no—
1752C2×C4—1461no—
1753C2×C4—1461no—
1754C2×C4—1461no—
1755C2×C4—1468no—
1756C2×C4—1461no—
1757C2×C4—1461no—
1758C2×C4—1461no—
1759C2×C4—1461no—
1760C2×C4—1461no—
1761C2×C4—1461no—
1762C2×C4—1461no—
1763C2×C4—1461no—
1764C2×C4C2×D4×D7312yes—
1765C2×C4C2×D4×D7312yes—
1766C2×C4#1455663612yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—22no—
1780C22—22no—
1781C22—22no—
1782C22—416no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—88no—
1802C22—29216no—
1803C22—2921no—
1804C22—2921no—
1805C22—2921no—
1806C22—2921no—
1807C22—2921no—
1808C22—2921no—
1809C22—2921no—
1810C22—2921no—
1811C22—2921no—
1812C22—2921no—
1813C22—2921no—
1814C22—2921no—
1815C22—2921no—
1816C22—2921no—
1817C22—2921no—
1818C22—1462no—
1819C22—1462no—
1820C22—1462no—
1821C22—1462no—
1822C22—1462no—
1823C22—1462no—
1824C22#1798909614yes—
1825C22#1798917514yescomplemented
1826C22C22×D4×D7311yescharacteristic
1827C22C2×#41×D7311yescharacteristic
1828C22C22×#1192402811yescharacteristic
1829C22C2×#1455663611yescharacteristic
1830C22C2×#1455663611yescharacteristic
1831C22C2×#1455663611yescharacteristic
1832C22#1798942311yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—2921no—
1844C4—2921no—
1845C4—2921no—
1846C4—2921no—
1847C4—2921no—
1848C4—2921no—
1849C4—2921no—
1850C4—2921no—
1851C4—2921no—
1852C4—1462no—
1853C4—1462no—
1854C4—1462no—
1855C4—1462no—
1856C2—24no—
1857C2—24no—
1858C2—42no—
1859C2—81no—
1860C2—81no—
1861C2—2922no—
1862C2—2922no—
1863C2—5841no—
1864C2C2×#1798909611yescharacteristic
1865C2C2×#1798917511yescharacteristic
1866C2#2262334011yescharacteristic
1867C2#2262356011yescharacteristic
1868C2#2262359611yescharacteristic
1869C2#2262386311yescharacteristic
1870C2#2262395711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC2×#386×C73C2
hypercenterC2×#386D73
hypocenterC73#34990
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. C2×#17989175C2semidirect
2. C22×C4×C22⋊D73C2semidirect
3. #22618244C2semidirect
4. #22618228C2semidirect
5. #22618222C2semidirect
6. #22618212C2semidirect
7. #22615832C2semidirect
8. #22615819C2semidirect
9. #22615787C2semidirect
10. #22615774C2semidirect
11. #22614194C2semidirect
12. #22614059C2semidirect
13. #22613984C2semidirect
14. #22613870C2semidirect
15. #22613825C2semidirect
16. #22613825C2semidirect
17. #22613755C2semidirect
18. #22613681C2semidirect
19. #22613668C2semidirect
20. #22613592C2semidirect
21. #22613469C2semidirect
22. #22613467C2semidirect
23. #22613393C2semidirect
24. #22613305C2semidirect
25. #22613299C2semidirect
26. #22613241C2semidirect
27. #22612634C2semidirect
28. #22612589C2semidirect
29. #22612565C2semidirect
30. C4×#14556560C2semidirect
31. C2×#386×C73C2semidirect
33. C23×C4×D73C22semidirect
35. C2×#14556584C22semidirect
36. C2×#14556584C22semidirect
37. C2×#14556577C22semidirect
38. C2×#14556577C22semidirect
39. C2×#14556573C22semidirect
40. C2×#14556573C22semidirect
41. C2×#14556573C22semidirect
42. C2×#14556570C22semidirect
43. C2×#14556568C22semidirect
46. C2×#14556564C22semidirect
47. C2×#14556564C22semidirect
48. C2×#14556564C22semidirect
51. C2×#14556561C22semidirect
55. C2×#14556560C22semidirect
63. C2×C4×C22⋊D73C22semidirect
64. C2×C4×C22⋊D73C22semidirect
65. C2×C4×C22⋊D73C22semidirect
66. C2×C4×C22⋊D73C22semidirect
67. C2×C4×C22⋊D73C22semidirect
68. C2×C4×C22⋊D73C22semidirect
69. C2×C4×C22⋊D73C22semidirect
70. C22×#11924007C22semidirect
72. C22×#11924005C22semidirect
73. C22×C4×Dic73C22semidirect
74. #17988529C22semidirect
75. #17988528C22semidirect
76. #17988523C22semidirect
77. #17988523C22semidirect
78. #17988521C22semidirect
79. #17988516C22semidirect
80. #17988516C22semidirect
81. #17988515C22semidirect
82. #17988511C22semidirect
83. #17988510C22semidirect
84. #17988510C22semidirect
85. #17988510C22semidirect
86. #17988505C22semidirect
87. #17988503C22semidirect
88. #17988503C22semidirect
89. #17988503C22semidirect
90. #17988502C22semidirect
91. #17988502C22semidirect
92. #17988502C22semidirect
93. #17988501C22semidirect
94. #17988501C22semidirect
95. #17988500C22semidirect
96. #17988499C22semidirect
97. #17988496C22semidirect
98. #17988496C22semidirect
99. #17988496C22semidirect
104. #17988495C22semidirect
105. #17988495C22semidirect
106. #17988491C22semidirect
107. #17988487C22semidirect
108. #17988487C22semidirect
109. #17988487C22semidirect
110. #17988481C22semidirect
111. #17988481C22semidirect
112. #17988481C22semidirect
113. #17988480C22semidirect
114. #17988480C22semidirect
115. #17988479C22semidirect
116. #17988479C22semidirect
117. #17988476C22semidirect
118. #17988476C22semidirect
119. #17988476C22semidirect
120. #17988475C22semidirect
121. #17988475C22semidirect
122. #17988474C22semidirect
123. #17988472C22semidirect
124. #17988472C22semidirect
125. #17988469C22semidirect
126. #17988469C22semidirect
127. #17988469C22semidirect
136. #17988466C22semidirect
137. #17988466C22semidirect
138. #17988466C22semidirect
139. #17988466C22semidirect
140. #17988465C22semidirect
141. #17988465C22semidirect
142. #17988465C22semidirect
143. #17988464C22semidirect
144. #17988463C22semidirect
145. #17988463C22semidirect
146. #17988463C22semidirect
147. #17988463C22semidirect
148. #17988462C22semidirect
149. #17988462C22semidirect
150. #17988461C22semidirect
151. #17988461C22semidirect
152. #17988461C22semidirect
153. #17988460C22semidirect
154. #17988460C22semidirect
155. #17988460C22semidirect
156. #17988460C22semidirect
157. #17988460C22semidirect
158. #17988460C22semidirect
159. #17988459C22semidirect
160. #17988454C22semidirect
161. #17988451C22semidirect
162. #17988449C22semidirect
163. #17988449C22semidirect
164. #17988447C22semidirect
165. #17988446C22semidirect
166. #17988446C22semidirect
167. #17988445C22semidirect
169. #17988443C22semidirect
170. #17988442C22semidirect
171. C4×C22⋊Dic73C22semidirect
172. C4×C22⋊Dic73C22semidirect
173. C4×C22⋊Dic73C22semidirect
177. C22×C22⋊C4×C73C22semidirect
178. C22×C22⋊C4×C73C22semidirect
183. #386×C73C22semidirect
184. #386×C73C22semidirect
185. #386×C73C22semidirect
186. #386×C73C22semidirect
187. C2×#95×C73C22semidirect
188. C2×#95×C73C22semidirect
253. C4×C22⋊D73D4semidirect
493. C2×C4×D73C2×D4semidirect
513. #11924007C2×D4semidirect
557. #11924005C2×D4semidirect
564. C4×Dic73C2×D4semidirect
867. C22×C73#538semidirect
966. C2×#386D73semidirect
967. C73#34990semidirect
1012. C22×C22⋊C4C2×D73semidirect
1013. C22×C22⋊C4C2×D73semidirect
1093. #386C2×D73semidirect
1094. #386C2×D73semidirect
1095. #386C2×D73semidirect
1096. #386C2×D73semidirect
1123. C2×#95C2×D73semidirect
1124. C2×#95C2×D73semidirect
1825. C22#17989175semidirect

Maximal subgroups

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

subgroupindex
C2×#179891752
C22×C4×C22⋊D732
#226182442
#226182282
#226182222
#226182122
#226158322
#226158192
#226157872
#226157742
#226141942
#226140592
#226139842
#226138702
#226138252
#226137552
#226136812
#226136682
#226135922
#226134692
#226134672
#226133932
#226133052
#226132992
#226132412
#226126342
#226125892
#226125652
C4×#145565602
C2×#386×C732
#3499073