Finite Group Databasebeta

← #33292738

Subgroups — #33292738

Order 18688.

3018 conjugacy classes of subgroups.

The subgroup lattice has 1926 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989150C211yesmaximal, characteristic, complemented
2C2×#121×D73C211yesmaximal, characteristic, complemented
3#22618222C211yesmaximal, characteristic, complemented
4#22618220C211yesmaximal, characteristic, complemented
5#22616373C211yesmaximal, characteristic, complemented
6#22616371C211yesmaximal, characteristic, complemented
7#22616366C211yesmaximal, characteristic, complemented
8#22616364C211yesmaximal, characteristic, complemented
9#22616340C211yesmaximal, characteristic, complemented
10#22616338C211yesmaximal, characteristic, complemented
11#22616335C211yesmaximal, characteristic, complemented
12#22616333C211yesmaximal, characteristic, complemented
13#22616204C211yesmaximal, characteristic, complemented
14#22616202C211yesmaximal, characteristic, complemented
15#22616191C211yesmaximal, characteristic, complemented
16#22616169C211yesmaximal, characteristic, complemented
17#22616167C211yesmaximal, characteristic, complemented
18#22616162C211yesmaximal, characteristic, complemented
19#22616160C211yesmaximal, characteristic, complemented
20#22615642C211yesmaximal, characteristic, complemented
21#22615642C211yesmaximal, characteristic, complemented
22#22614216C211yesmaximal, characteristic, complemented
23#22614203C211yesmaximal, characteristic, complemented
24#22613326C211yesmaximal, characteristic, complemented
25#22613322C211yesmaximal, characteristic, complemented
26#22613302C211yesmaximal, characteristic, complemented
27#22613298C211yesmaximal, characteristic, complemented
28#22613261C211yesmaximal, characteristic, complemented
29#22613245C211yesmaximal, characteristic, complemented
30#22612505C211yesmaximal, characteristic, complemented
31C73×#2673C211yesmaximal, characteristic, complemented
32C22×#11924027C2211yescharacteristic
33C22×D4×D73C2211yescharacteristic
34C22×D4×D73C2211yescharacteristic
35C22×D4×D73C2211yescharacteristic
36C23×C4×D73C2211yescharacteristic
37#17989150—28no—
38C2×#14556587C2211yescharacteristic, complemented
39C2×#14556579C2211yescharacteristic, complemented
40C2×#14556578C2211yescharacteristic, complemented
41C2×#14556573C2211yescharacteristic
42C2×#14556573C2211yescharacteristic
43C2×#14556573C2211yescharacteristic, complemented
44C2×#14556573C2211yescharacteristic, complemented
45C2×#14556572C2211yescharacteristic, complemented
46C2×#14556566C2211yescharacteristic
47C2×#14556565C2211yescharacteristic
48C2×#14556564C2211yescharacteristic
49C2×#14556564C2211yescharacteristic
50C2×#14556564C2211yescharacteristic, complemented
51C2×#14556563C2211yescharacteristic
52C2×#14556563C2211yescharacteristic
53C2×#14556563C2211yescharacteristic, complemented
54C2×#14556563C2211yescharacteristic, complemented
55C2×#14556563C2211yescharacteristic, complemented
56C2×#14556563C2211yescharacteristic, complemented
57C2×#14556563C2211yescharacteristic, complemented
58C2×#14556562C2211yescharacteristic
59C2×#14556562C2211yescharacteristic, complemented
60#121×D73—28no—
61C2×#14556559C2211yescharacteristic
62C2×#14556559C2211yescharacteristic
63C2×#14556559C2211yescharacteristic
64C2×#14556559C2211yescharacteristic
65C2×#14556559C2211yescharacteristic
66C2×#14556559C2211yescharacteristic
67C2×#14556548C2211yescharacteristic
68C2×C4⋊C4×D73C2211yescharacteristic
69C22×#11924005C2211yescharacteristic
70C2×C22⋊C4×D73C2211yescharacteristic
71C2×C22⋊C4×D73C2211yescharacteristic
72C2×C22⋊C4×D73C2211yescharacteristic
73#17988529C2211yescharacteristic, complemented
74#17988528C2211yescharacteristic, complemented
75#17988523C2211yescharacteristic, complemented
76#17988522C2211yescharacteristic, complemented
77#17988521C2211yescharacteristic, complemented
78#17988520C2211yescharacteristic, complemented
79#17988516C2211yescharacteristic, complemented
80#17988516C2211yescharacteristic, complemented
81#17988515C2211yescharacteristic, complemented
82#17988515C2211yescharacteristic, complemented
83#17988514C2211yescharacteristic, complemented
84#17988512C2211yescharacteristic, complemented
85#17988508C2211yescharacteristic, complemented
86#17988507C2211yescharacteristic, complemented
87#17988505C2211yescharacteristic, complemented
88#17988505C2211yescharacteristic, complemented
89#17988504C2211yescharacteristic, complemented
90#17988503C2211yescharacteristic, complemented
91#17988503C2211yescharacteristic, complemented
92#17988503C2211yescharacteristic, complemented
93#17988503C2211yescharacteristic, complemented
94#17988503C2211yescharacteristic, complemented
95#17988503C2211yescharacteristic, complemented
96#17988502C2211yescharacteristic, complemented
97#17988502C2211yescharacteristic, complemented
98#17988501C2211yescharacteristic, complemented
99#17988501C2211yescharacteristic, complemented
100#17988501C2211yescharacteristic, complemented
101#17988501C2211yescharacteristic, complemented
102#17988501C2211yescharacteristic, complemented
103#17988500C2211yescharacteristic, complemented
104#17988499C2211yescharacteristic, complemented
105#17988496C2211yescharacteristic, complemented
106#17988496C2211yescharacteristic, complemented
107#17988496C2211yescharacteristic, complemented
108#17988495C2211yescharacteristic, complemented
109#17988495C2211yescharacteristic, complemented
110#17988495C2211yescharacteristic, complemented
111#17988495C2211yescharacteristic, complemented
112#17988495C2211yescharacteristic, complemented
113#17988495C2211yescharacteristic, complemented
114#17988495C2211yescharacteristic, complemented
115#17988479C2211yescharacteristic, complemented
116#17988478C2211yescharacteristic, complemented
117#17988475C2211yescharacteristic, complemented
118#17988472C2211yescharacteristic, complemented
119#17988471C2211yescharacteristic, complemented
120#17988468C2211yescharacteristic, complemented
121#17988467C2211yescharacteristic, complemented
122#17988467C2211yescharacteristic, complemented
123#17988467C2211yescharacteristic, complemented
124#17988467C2211yescharacteristic, complemented
125#17988467C2211yescharacteristic, complemented
126#17988467C2211yescharacteristic, complemented
127#17988466C2211yescharacteristic, complemented
128#17988466C2211yescharacteristic, complemented
129#17988465C2211yescharacteristic, complemented
130#17988465C2211yescharacteristic, complemented
131#17988465C2211yescharacteristic, complemented
132#17988464C2211yescharacteristic, complemented
133#17988464C2211yescharacteristic, complemented
134#17988464C2211yescharacteristic, complemented
135#17988463C2211yescharacteristic
136#17988463C2211yescharacteristic
137#17988463C2211yescharacteristic
138#17988463C2211yescharacteristic
139#17988463C2211yescharacteristic, complemented
140#17988463C2211yescharacteristic, complemented
141#17988463C2211yescharacteristic, complemented
142#17988463C2211yescharacteristic, complemented
143#17988463C2211yescharacteristic, complemented
144#17988463C2211yescharacteristic, complemented
145#17988463C2211yescharacteristic, complemented
146#17988462C2211yescharacteristic, complemented
147#17988462C2211yescharacteristic, complemented
148#17988462C2211yescharacteristic, complemented
149#17988461C2211yescharacteristic
150#17988461C2211yescharacteristic
151#17988460C2211yescharacteristic, complemented
152#17988459C2211yescharacteristic, complemented
153#17988459C2211yescharacteristic, complemented
154#17988458C2211yescharacteristic
155#17988458C2211yescharacteristic
156#17988458C2211yescharacteristic, complemented
157#17988458C2211yescharacteristic, complemented
158#17988450C2211yescharacteristic, complemented
159#17988449C2211yescharacteristic
160#17988449C2211yescharacteristic
161#17988449C2211yescharacteristic
162#17988449C2211yescharacteristic
163#17988449C2211yescharacteristic, complemented
164#17988449C2211yescharacteristic, complemented
165#17988448C2211yescharacteristic, complemented
166#17988447C2211yescharacteristic, complemented
167#17988446C2211yescharacteristic, complemented
168#17988445C2211yescharacteristic, complemented
169#17988444C2211yescharacteristic, complemented
170#17988442C2211yescharacteristic
171#17988442C2211yescharacteristic
172#17988442C2211yescharacteristic
173#17988442C2211yescharacteristic
174C2×#127×C73C2211yescharacteristic, complemented
175C2×#123×C73C2211yescharacteristic, complemented
176C2×#121×C73C2211yescharacteristic
177C2×#121×C73C2211yescharacteristic, complemented
178#394×C73C2211yescharacteristic, complemented
179#394×C73C2211yescharacteristic, complemented
180#392×C73C2211yescharacteristic, complemented
181#392×C73C2211yescharacteristic, complemented
182#392×C73C2211yescharacteristic, complemented
183#392×C73C2211yescharacteristic, complemented
184#388×C73C2211yescharacteristic, complemented
185#387×C73C2211yescharacteristic, complemented
186#386×C73C2211yescharacteristic, complemented
187#386×C73C2211yescharacteristic, complemented
188#386×C73C2211yescharacteristic, complemented
189C24×D73C2311yescharacteristic
190C24×D73C2311yescharacteristic
191C24×D73C2311yescharacteristic
192C2×#11924027—24no—
193C2×#11924027—42no—
194C2×#11924027—42no—
195C22×Dic146C2311yescharacteristic
196C22×D292C2311yescharacteristic
197C22×D292C2311yescharacteristic
198C22×D292C2311yescharacteristic
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
209C22×C22⋊D73C2311yescharacteristic
210C22×C22⋊D73C2311yescharacteristic
211C22×C22⋊D73C2311yescharacteristic
212C22×C22⋊D73C2311yescharacteristic
213C2×D4×D73—24no—
214C2×D4×D73—24no—
215C2×D4×D73—42no—
216C2×D4×D73—42no—
217C2×D4×D73—42no—
218C2×D4×D73—42no—
219C2×D4×D73—42no—
220C2×D4×D73—42no—
221C2×D4×D73D418yescomplemented
222C23×Dic73C2311yescharacteristic
223C23×Dic73C2311yescharacteristic
224C23×Dic73C2311yescharacteristic
225C23×Dic73C2311yescharacteristic
226C22×C4×D73—24no—
227C22×C4×D73—42no—
228C22×C4×D73—42no—
229C22×C4×D73C2311yescharacteristic
230C22×C4×D73C2311yescharacteristic
231C22×C4×D73C2311yescharacteristic
232C22×C4×D73C2311yescharacteristic
233C22×C4×D73C2311yescharacteristic
234C22×C4×D73C2311yescharacteristic
235C22×C4×D73C2311yescharacteristic
236C22×C4×D73C2311yescharacteristic
237#14556587—24no—
238#14556579—24no—
239#14556578—24no—
240#14556573—42no—
241#14556573—42no—
242#14556573—42no—
243#14556573—42no—
244#14556572—42no—
245#14556566—24no—
246#14556565—24no—
247#14556564—24no—
248#14556564—24no—
249#14556564—42no—
250#14556563—24no—
251#14556563—24no—
252#14556563—24no—
253#14556563—24no—
254#14556563—24no—
255#14556563—24no—
256#14556563—42no—
257#14556562—24no—
258#14556562—42no—
259#14556559—24no—
260#14556559—24no—
261#14556559—24no—
262#14556559—24no—
263#14556559—42no—
264#14556559—42no—
265#14556548—24no—
266C2×C4⋊Dic73C2311yescharacteristic
267C2×C4⋊Dic73C2311yescharacteristic
268C2×C4⋊Dic73C2311yescharacteristic
269C2×C4⋊Dic73C2311yescharacteristic
270C2×C4⋊Dic73C2311yescharacteristic
271C2×#11924007C2311yescharacteristic
272C2×#11924007C2311yescharacteristic
273C2×#11924007C2311yescharacteristic
274C2×#11924007C2311yescharacteristic
275C2×#11924007C2311yescharacteristic
276C2×#11924007C2311yescharacteristic
277C2×#11924007C2311yescharacteristic
278C2×#11924007C2311yescharacteristic
279C2×#11924007C2311yescharacteristic
280C2×#11924007C2311yescharacteristic
281C4⋊C4×D73—24no—
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×C22⋊Dic73C2311yescharacteristic
300C2×C22⋊Dic73C2311yescharacteristic
301C2×#11924005—42no—
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×#11924005C2311yescharacteristic
322C2×#11924005C2311yescharacteristic
323C2×#11924005C2311yescharacteristic
324C2×#11924005C2311yescharacteristic
325C2×#11924005C2311yescharacteristic
326C2×#11924005C2311yescharacteristic
327C2×#11924005C2311yescharacteristic
328C22⋊C4×D73—24no—
329C22⋊C4×D73—24no—
330C22⋊C4×D73—42no—
331C2×C4×Dic73C2311yescharacteristic
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
353#14556498C2311yescharacteristic
354#14556498C2311yescharacteristic
355#14556498C2311yescharacteristic
356#14556498C2311yescharacteristic
357#14556498C2311yescharacteristic
358C22×D4×C73C2311yescharacteristic
359C22×D4×C73C2311yescharacteristic
360C22×D4×C73C2311yescharacteristic
361C22×D4×C73C2311yescharacteristic
362C22×D4×C73C2311yescharacteristic
363C22×D4×C73C2311yescharacteristic
364C22×D4×C73C2311yescharacteristic
365C22×D4×C73C2311yescharacteristic
366C22×D4×C73C2311yescharacteristic
367C22×D4×C73C2311yescharacteristic
368C23×C4×C73C2311yescharacteristic
369C23×C4×C73C2311yescharacteristic
370#127×C73—24no—
371#123×C73—42no—
372#121×C73—24no—
373#121×C73—42no—
374C2×C4⋊C4×C73C2311yescharacteristic
375C2×C4⋊C4×C73C2311yescharacteristic
376C2×C4⋊C4×C73C2311yescharacteristic
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
389C2×C22⋊C4×C73C2311yescharacteristic
390C2×C42×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—22no—
403C23×D73—22no—
404C23×D73—41no—
405C23×D73—41no—
406C23×D73—41no—
407C23×D73—41no—
408C23×D73—41no—
409C23×D73—41no—
410C23×D73—41no—
411C23×D73—41no—
412C23×D73—41no—
413C23×D73—41no—
414C23×D73—41no—
415C23×D73—41no—
416C23×D73C2×D414yes—
417C23×D73C2×D414yes—
418C23×D73C2411yescharacteristic
419C23×D73C2411yescharacteristic
420C23×D73C2411yescharacteristic
421C23×D73C2411yescharacteristic
422#11924027—416no—
423C2×Dic146—22no—
424C2×Dic146—41no—
425C2×Dic146—41no—
426C2×D292—22no—
427C2×D292—22no—
428C2×D292—22no—
429C2×D292—41no—
430C2×D292—41no—
431C2×D292—41no—
432C2×D292—41no—
433C2×D292—41no—
434C2×D292C2×D414yes—
435C2×C22⋊D73—22no—
436C2×C22⋊D73—22no—
437C2×C22⋊D73—22no—
438C2×C22⋊D73—22no—
439C2×C22⋊D73—22no—
440C2×C22⋊D73—22no—
441C2×C22⋊D73—22no—
442C2×C22⋊D73—22no—
443C2×C22⋊D73—22no—
444C2×C22⋊D73—22no—
445C2×C22⋊D73—22no—
446C2×C22⋊D73—22no—
447C2×C22⋊D73—22no—
448C2×C22⋊D73—22no—
449C2×C22⋊D73—22no—
450C2×C22⋊D73—22no—
451C2×C22⋊D73—41no—
452C2×C22⋊D73—41no—
453C2×C22⋊D73—41no—
454C2×C22⋊D73—41no—
455C2×C22⋊D73—41no—
456C2×C22⋊D73—41no—
457C2×C22⋊D73—41no—
458C2×C22⋊D73—41no—
459C2×C22⋊D73—41no—
460C2×C22⋊D73—41no—
461C2×C22⋊D73—41no—
462C2×C22⋊D73—41no—
463C2×C22⋊D73—41no—
464C2×C22⋊D73—41no—
465C2×C22⋊D73—41no—
466C2×C22⋊D73—41no—
467C2×C22⋊D73—41no—
468C2×C22⋊D73—41no—
469C2×C22⋊D73—41no—
470C2×C22⋊D73—41no—
471C2×C22⋊D73—41no—
472C2×C22⋊D73—41no—
473C2×C22⋊D73—41no—
474C2×C22⋊D73—41no—
475C2×C22⋊D73C2×D414yes—
476C2×C22⋊D73C2×D414yes—
477D4×D73—416no—
478D4×D73—416no—
479D4×D73—416no—
480C22×Dic73—22no—
481C22×Dic73—22no—
482C22×Dic73—22no—
483C22×Dic73—22no—
484C22×Dic73—41no—
485C22×Dic73—41no—
486C22×Dic73—41no—
487C22×Dic73—41no—
488C22×Dic73—41no—
489C22×Dic73—41no—
490C22×Dic73—41no—
491C22×Dic73—41no—
492C22×Dic73C2411yescharacteristic
493C22×Dic73C2411yescharacteristic
494C22×Dic73C2411yescharacteristic
495C22×Dic73C2411yescharacteristic
496C22×Dic73C2411yescharacteristic
497C22×Dic73C2411yescharacteristic
498C22×Dic73C2411yescharacteristic
499C22×Dic73C2411yescharacteristic
500C22×Dic73C2411yescharacteristic
501C22×Dic73C2411yescharacteristic
502C22×Dic73C2411yescharacteristic
503C22×Dic73C2411yescharacteristic
504C2×C4×D73—22no—
505C2×C4×D73—22no—
506C2×C4×D73—22no—
507C2×C4×D73—22no—
508C2×C4×D73—22no—
509C2×C4×D73—22no—
510C2×C4×D73—22no—
511C2×C4×D73—22no—
512C2×C4×D73—22no—
513C2×C4×D73—22no—
514C2×C4×D73—22no—
515C2×C4×D73—22no—
516C2×C4×D73—22no—
517C2×C4×D73—416no—
518C2×C4×D73—41no—
519C2×C4×D73—41no—
520C2×C4×D73—41no—
521C2×C4×D73—41no—
522C2×C4×D73—41no—
523C2×C4×D73—41no—
524C2×C4×D73—41no—
525C2×C4×D73—41no—
526C2×C4×D73—41no—
527C2×C4×D73—41no—
528C2×C4×D73C2×D414yes—
529C4⋊Dic73—22no—
530C4⋊Dic73—22no—
531C4⋊Dic73—41no—
532C4⋊Dic73—41no—
533C4⋊Dic73—41no—
534#11924007—22no—
535#11924007—22no—
536#11924007—22no—
537#11924007—22no—
538#11924007—22no—
539#11924007—22no—
540#11924007—41no—
541#11924007—41no—
542#11924007—41no—
543#11924007—41no—
544C22⋊Dic73—22no—
545C22⋊Dic73—22no—
546C22⋊Dic73—22no—
547C22⋊Dic73—22no—
548C22⋊Dic73—22no—
549C22⋊Dic73—22no—
550C22⋊Dic73—22no—
551C22⋊Dic73—22no—
552C22⋊Dic73—41no—
553C22⋊Dic73—41no—
554C22⋊Dic73—41no—
555C22⋊Dic73—41no—
556C22⋊Dic73—41no—
557C22⋊Dic73—41no—
558C22⋊Dic73—41no—
559C22⋊Dic73—41no—
560C22⋊Dic73—41no—
561C22⋊Dic73—41no—
562C22⋊Dic73—41no—
563#11924005—22no—
564#11924005—22no—
565#11924005—22no—
566#11924005—22no—
567#11924005—22no—
568#11924005—22no—
569#11924005—22no—
570#11924005—22no—
571#11924005—22no—
572#11924005—22no—
573#11924005—22no—
574#11924005—22no—
575#11924005—22no—
576#11924005—22no—
577#11924005—41no—
578#11924005—41no—
579#11924005—41no—
580#11924005—41no—
581#11924005—41no—
582#11924005—41no—
583#11924005—41no—
584#11924005—41no—
585#11924005—41no—
586#11924005—41no—
587#11924005—41no—
588#11924005—41no—
589C4×Dic73—22no—
590C24×C73C2411yescharacteristic
591C24×C73C2411yescharacteristic
592C24×C73C2411yescharacteristic
593C24×C73C2411yescharacteristic
594C24×C73C2411yescharacteristic
595C2×D4×C73—22no—
596C2×D4×C73—22no—
597C2×D4×C73—22no—
598C2×D4×C73—22no—
599C2×D4×C73—22no—
600C2×D4×C73—22no—
601C2×D4×C73—22no—
602C2×D4×C73—22no—
603C2×D4×C73—41no—
604C2×D4×C73—41no—
605C2×D4×C73—41no—
606C2×D4×C73—41no—
607C2×D4×C73—41no—
608C2×D4×C73—41no—
609C2×D4×C73—41no—
610C2×D4×C73—41no—
611C2×D4×C73—41no—
612C2×D4×C73—41no—
613C2×D4×C73—41no—
614C2×D4×C73—41no—
615C2×D4×C73—41no—
616C2×D4×C73—41no—
617C2×D4×C73—41no—
618C2×D4×C73—41no—
619C2×D4×C73—41no—
620C2×D4×C73—41no—
621C2×D4×C73—41no—
622C2×D4×C73—41no—
623C2×D4×C73—41no—
624C2×D4×C73C2×D414yes—
625C22×C4×C73—22no—
626C22×C4×C73—22no—
627C22×C4×C73—41no—
628C22×C4×C73—41no—
629C22×C4×C73—41no—
630C22×C4×C73—41no—
631C22×C4×C73C2411yescharacteristic
632C22×C4×C73C2411yescharacteristic
633C22×C4×C73C2411yescharacteristic
634C22×C4×C73C2411yescharacteristic
635C22×C4×C73C2411yescharacteristic
636C22×C4×C73C2411yescharacteristic
637C22×C4×C73C2411yescharacteristic
638C22×C4×C73C2411yescharacteristic
639C22×C4×C73C2411yescharacteristic
640C22×C4×C73C2411yescharacteristic
641C4⋊C4×C73—22no—
642C4⋊C4×C73—22no—
643C4⋊C4×C73—41no—
644C22⋊C4×C73—22no—
645C22⋊C4×C73—22no—
646C22⋊C4×C73—22no—
647C22⋊C4×C73—22no—
648C22⋊C4×C73—41no—
649C22⋊C4×C73—41no—
650C22⋊C4×C73—41no—
651C22⋊C4×C73—41no—
652C22⋊C4×C73—41no—
653C22⋊C4×C73—41no—
654C22⋊C4×C73—41no—
655C22⋊C4×C73—41no—
656C22⋊C4×C73—41no—
657C42×C73—22no—
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—21no—
678C23×C73—21no—
679C23×C73—21no—
680C23×C73—21no—
681C23×C73—21no—
682C23×C73—21no—
683C23×C73—21no—
684C23×C73—21no—
685C23×C73—21no—
686C23×C73—21no—
687C23×C73—21no—
688C23×C73—21no—
689C23×C73—21no—
690C23×C73—21no—
691C23×C73C22×D412yes—
692C23×C73C22×D412yes—
693C23×C73C2511yescharacteristic
694C22×D73—21no—
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
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—28no—
711C22×D73—28no—
712C22×D73—21no—
713C22×D73—21no—
714C22×D73—21no—
715C22×D73—21no—
716C22×D73—21no—
717C22×D73—21no—
718C22×D73—21no—
719C22×D73—44no—
720C22×D73—44no—
721C22×D73—44no—
722C22×D73—44no—
723C22×D73—44no—
724C22×D73—44no—
725C22×D73—44no—
726C22×D73—44no—
727C22×D73—44no—
728C22×D73—44no—
729C22×D73—44no—
730C22×D73—82no—
731C22×D73—82no—
732C22×D73—82no—
733C22×D73—82no—
734C22×D73—82no—
735C22×D73—82no—
736C22×D73—82no—
737C22×D73—82no—
738C22×D73C22×D412yes—
739C22×D73C22×D412yes—
740C22×D73C22×D412yes—
741C22×D73H(5,𝔽2)12yes—
742C22×D73H(5,𝔽2)12yes—
743D4×C73—44no—
744D4×C73—44no—
745D4×C73—44no—
746D4×C73—44no—
747D4×C73—82no—
748D4×C73—82no—
749D4×C73—82no—
750D4×C73—82no—
751D4×C73—82no—
752D4×C73—82no—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—21no—
761C2×C4×C73—21no—
762C2×C4×C73—21no—
763C2×C4×C73—21no—
764C2×C4×C73—21no—
765C2×C4×C73—21no—
766C2×C4×C73—21no—
767C2×C4×C73—21no—
768C2×C4×C73—21no—
769C2×C4×C73—21no—
770C2×C4×C73—21no—
771C2×C4×C73—21no—
772C2×C4×C73—21no—
773C2×C4×C73—21no—
774C2×C4×C73—21no—
775C2×C4×C73—21no—
776C2×C4×C73—21no—
777C2×C4×C73—21no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—44no—
782C2×C4×C73—82no—
783C2×C4×C73C22×D412yes—
784C2×C4×C73H(5,𝔽2)12yes—
785C22⋊D73—44no—
786C22⋊D73—44no—
787C22⋊D73—44no—
788C22⋊D73—44no—
789C22⋊D73—44no—
790C22⋊D73—44no—
791C22⋊D73—44no—
792C22⋊D73—44no—
793C22⋊D73—82no—
794C22⋊D73—82no—
795C22⋊D73—82no—
796C22⋊D73—82no—
797C22⋊D73—82no—
798C22⋊D73—82no—
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—21no—
818C2×Dic73—21no—
819C2×Dic73—21no—
820C2×Dic73—21no—
821C2×Dic73—21no—
822C2×Dic73—21no—
823C2×Dic73—21no—
824C2×Dic73—21no—
825C2×Dic73—21no—
826C2×Dic73—21no—
827C2×Dic73—21no—
828C2×Dic73—21no—
829C2×Dic73—21no—
830C2×Dic73—21no—
831C2×Dic73—21no—
832C2×Dic73—21no—
833C2×Dic73—44no—
834C2×Dic73—44no—
835C2×Dic73—44no—
836C2×Dic73—82no—
837C2×Dic73C22×D412yes—
838C2×Dic73H(5,𝔽2)12yes—
839D292—44no—
840D292—44no—
841D292—44no—
842C4×D73—28no—
843C4×D73—28no—
844C4×D73—44no—
845C4×D73—44no—
846C4×D73—44no—
847C4×D73—44no—
848C4×D73—82no—
849C4×D73—82no—
850Dic146—44no—
851C22×C73—22no—
852C22×C73—22no—
853C22×C73—22no—
854C22×C73—22no—
855C22×C73—22no—
856C22×C73—22no—
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—41no—
866C22×C73—41no—
867C22×C73—41no—
868C22×C73—41no—
869C22×C73—41no—
870C22×C73—41no—
871C22×C73—41no—
872C22×C73—41no—
873C22×C73—41no—
874C22×C73—41no—
875C22×C73—41no—
876C22×C73—41no—
877C22×C73—41no—
878C22×C73—41no—
879C22×C73—41no—
880C22×C73—41no—
881C22×C73—41no—
882C22×C73—41no—
883C22×C73—41no—
884C22×C73—41no—
885C22×C73—41no—
886C22×C73C23×D411yescharacteristic
887C22×C73C2×H(5,𝔽2)11yescharacteristic
888C22×C73C2×H(5,𝔽2)11yescharacteristic
889C22×C73C2×H(5,𝔽2)11yescharacteristic
890C22×C73C2×H(5,𝔽2)11yescharacteristic
891C22×C73#58511yescharacteristic
892C22×C73#58511yescharacteristic
893C2×D73—22no—
894C2×D73—22no—
895C2×D73—22no—
896C2×D73—22no—
897C2×D73—22no—
898C2×D73—22no—
899C2×D73—22no—
900C2×D73—22no—
901C2×D73—22no—
902C2×D73—22no—
903C2×D73—22no—
904C2×D73—22no—
905C2×D73—416no—
906C2×D73—41no—
907C2×D73—41no—
908C2×D73—41no—
909C2×D73—41no—
910C2×D73—41no—
911C2×D73—41no—
912C2×D73—41no—
913C2×D73—41no—
914C2×D73—41no—
915C2×D73—41no—
916C2×D73—41no—
917C2×D73—41no—
918C2×D73—41no—
919C2×D73—41no—
920C2×D73—41no—
921C2×D73—88no—
922C2×D73—88no—
923C2×D73#53414yes—
924C4×C73—22no—
925C4×C73—22no—
926C4×C73—41no—
927C4×C73—41no—
928C4×C73—41no—
929C4×C73—41no—
930C4×C73—41no—
931C4×C73—41no—
932C4×C73—41no—
933C4×C73—41no—
934Dic73—22no—
935Dic73—22no—
936Dic73—41no—
937Dic73—41no—
938Dic73—41no—
939Dic73—41no—
940Dic73—41no—
941Dic73—41no—
942Dic73—41no—
943Dic73—41no—
944Dic73—41no—
945Dic73—41no—
946#36704—731nomaximal, Sylow
947C2×C73—42no—
948C2×C73—42no—
949C2×C73—81no—
950C2×C73—81no—
951C2×C73—81no—
952C2×C73C2×#53411yescharacteristic
953C2×C73#348411yescharacteristic
954C2×C73#348511yescharacteristic
955C2×C73#354211yescharacteristic
956C2×C73#354211yescharacteristic
957C2×C73#354211yescharacteristic
958C2×C73#354211yescharacteristic
959D73—24no—
960D73—42no—
961D73—42no—
962D73—81no—
963C2×#535—731no—
964C22×#121—731no—
965#2849—731no—
966#2849—731no—
967#2688—731no—
968#2688—731no—
969#2688—731no—
970#2688—731no—
971#2686—731no—
972#2686—731no—
973#2686—731no—
974#2686—731no—
975#2673—731no—
976#2673—731no—
977#2673—731no—
978#2673D7311yescharacteristic, complemented
979#2671—731no—
980#2671—731no—
981#2671—731no—
982#2671—731no—
983#2613—731no—
984#2613—731no—
985#2484—731no—
986#2482—731no—
987#2412—731no—
988#2412—731no—
989#2410—731no—
990#2410—731no—
991#2406—731no—
992#2404—731no—
993#2308—731no—
994C73#3670411yescharacteristic, complemented, Sylow
995C22×#41—731no—
996C23×D4—731no—
997C23×D4—731no—
998C23×D4—731no—
999C24×C4—731no—
1000#535—1468no—
1001C2×#127—731no—
1002C2×#127C2×D7311yescharacteristic, complemented
1003C2×#124—731no—
1004C2×#124—731no—
1005C2×#123—731no—
1006C2×#123—731no—
1007C2×#123—731no—
1008C2×#123—731no—
1009C2×#123—731no—
1010C2×#123C2×D7311yescharacteristic, complemented
1011C2×#121—731no—
1012C2×#121—731no—
1013C2×#121—731no—
1014C2×#121—731no—
1015C2×#121—731no—
1016C2×#121—731no—
1017C2×#121—731no—
1018C2×#121—731no—
1019C2×#121—731no—
1020C2×#121—731no—
1021C2×#121—731no—
1022C2×#121—731no—
1023C2×#121—731no—
1024C2×#121—731no—
1025C2×#121—1468no—
1026C2×#121C2×D7311yescharacteristic
1027C2×#121C2×D7311yescharacteristic, complemented
1028C2×#120—731no—
1029C2×#120—731no—
1030C2×#120—731no—
1031C2×#120—731no—
1032C2×#120—731no—
1033C2×#120—731no—
1034C2×#117—731no—
1035C22×C4⋊C4—731no—
1036C22×C22⋊C4—731no—
1037C22×C22⋊C4—731no—
1038C22×C22⋊C4—731no—
1039C22×C22⋊C4—731no—
1040#400—731no—
1041#400—731no—
1042#399—731no—
1043#399—731no—
1044#398—731no—
1045#398—731no—
1046#397—731no—
1047#397—731no—
1048#397—731no—
1049#397—731no—
1050#397—731no—
1051#397—731no—
1052#395—731no—
1053#395—731no—
1054#394—731no—
1055#394—731no—
1056#394—731no—
1057#394—731no—
1058#394—731no—
1059#394—731no—
1060#394—731no—
1061#394—731no—
1062#394—731no—
1063#394—731no—
1064#394—731no—
1065#394—731no—
1066#394—731no—
1067#394—731no—
1068#394—731no—
1069#394—731no—
1070#394C2×D7311yescharacteristic, complemented
1071#394C2×D7311yescharacteristic, complemented
1072#393—731no—
1073#393—731no—
1074#392—731no—
1075#392—731no—
1076#392—731no—
1077#392—731no—
1078#392—731no—
1079#392—731no—
1080#392—731no—
1081#392—731no—
1082#392—731no—
1083#392—731no—
1084#392C2×D7311yescharacteristic, complemented
1085#392C2×D7311yescharacteristic, complemented
1086#392C2×D7311yescharacteristic, complemented
1087#392C2×D7311yescharacteristic, complemented
1088#388—731no—
1089#388—731no—
1090#388—731no—
1091#388C2×D7311yescharacteristic, complemented
1092#387—731no—
1093#387—731no—
1094#387—731no—
1095#387C2×D7311yescharacteristic, complemented
1096#386—731no—
1097#386—731no—
1098#386—731no—
1099#386—731no—
1100#386—731no—
1101#386—731no—
1102#386—731no—
1103#386—731no—
1104#386—731no—
1105#386—731no—
1106#386—731no—
1107#386—731no—
1108#386—731no—
1109#386—731no—
1110#386—731no—
1111#386—731no—
1112#386—731no—
1113#386—731no—
1114#386—731no—
1115#386—731no—
1116#386—731no—
1117#386—731no—
1118#386—731no—
1119#386—731no—
1120#386—731no—
1121#386C2×D7311yescharacteristic, complemented
1122#386C2×D7311yescharacteristic, complemented
1123#386C2×D7311yescharacteristic, complemented
1124#385—731no—
1125#385—731no—
1126#385—731no—
1127#385—731no—
1128#385—731no—
1129#385—731no—
1130#385—731no—
1131#385—731no—
1132#385—731no—
1133#385—731no—
1134#385—731no—
1135#385—731no—
1136#381—731no—
1137#381—731no—
1138#381—731no—
1139#381—731no—
1140#381—731no—
1141#381—731no—
1142#381—731no—
1143#381—731no—
1144#380—731no—
1145#380—731no—
1146#380—731no—
1147#380—731no—
1148#379—731no—
1149#379—731no—
1150#379—731no—
1151#379—731no—
1152C25—731no—
1153C25—731no—
1154C25—731no—
1155C2×#41—2922no—
1156C2×#41—2922no—
1157C2×#41—1464no—
1158C22×Q8—731no—
1159C22×D4—2922no—
1160C22×D4—2922no—
1161C22×D4—2922no—
1162C22×D4—2922no—
1163C22×D4—2922no—
1164C22×D4—2922no—
1165C22×D4—731no—
1166C22×D4—731no—
1167C22×D4—731no—
1168C22×D4—731no—
1169C22×D4—738no—
1170C22×D4—731no—
1171C22×D4—731no—
1172C22×D4—731no—
1173C22×D4—731no—
1174C22×D4—731no—
1175C22×D4—731no—
1176C22×D4—731no—
1177C22×D4—731no—
1178C22×D4—731no—
1179C22×D4—731no—
1180C22×D4—731no—
1181C22×D4—731no—
1182C22×D4—731no—
1183C22×D4—1464no—
1184C22×D4—1464no—
1185C22×D4C22×D7311yescharacteristic
1186C22×D4C22×D7311yescharacteristic
1187C22×D4C22×D7311yescharacteristic
1188C22×D4C22×D7311yescharacteristic
1189C22×D4C22×D7311yescharacteristic
1190C22×D4C22×D7311yescharacteristic
1191C22×D4C22×D7311yescharacteristic
1192C22×D4C22×D7311yescharacteristic
1193C22×D4C22×D7311yescharacteristic
1194C22×D4C22×D7311yescharacteristic
1195C23×C4—2922no—
1196C23×C4—2922no—
1197C23×C4—731no—
1198C23×C4—731no—
1199C23×C4—731no—
1200C23×C4—731no—
1201C23×C4—731no—
1202C23×C4—731no—
1203C23×C4—731no—
1204C23×C4—731no—
1205C23×C4—731no—
1206C23×C4—731no—
1207C23×C4—731no—
1208C23×C4—731no—
1209C23×C4—1464no—
1210C23×C4C22×D7311yescharacteristic
1211C23×C4C22×D7311yescharacteristic
1212#127—24no—
1213#127—1464no—
1214#124—1464no—
1215#124—1464no—
1216#123—42no—
1217#123—2922no—
1218#123—2922no—
1219#123—2922no—
1220#123—2922no—
1221#123—2922no—
1222#121—24no—
1223#121—42no—
1224#121—2922no—
1225#121—2922no—
1226#121—2922no—
1227#121—1464no—
1228#121—1464no—
1229#121—1464no—
1230#121—1464no—
1231#121—1464no—
1232#121—1464no—
1233#121—1464no—
1234#121—1464no—
1235#121—1464no—
1236#121—1464no—
1237#121—1464no—
1238#120—2922no—
1239#120—2922no—
1240#120—1464no—
1241#120—1464no—
1242#120—1464no—
1243#120—1464no—
1244#117—1464no—
1245C2×C4⋊C4—731no—
1246C2×C4⋊C4—731no—
1247C2×C4⋊C4—731no—
1248C2×C4⋊C4—731no—
1249C2×C4⋊C4—731no—
1250C2×C4⋊C4—731no—
1251C2×C4⋊C4—731no—
1252C2×C4⋊C4—731no—
1253C2×C4⋊C4—731no—
1254C2×C4⋊C4—731no—
1255C2×C4⋊C4—731no—
1256C2×C4⋊C4—731no—
1257C2×C4⋊C4—731no—
1258C2×C4⋊C4—731no—
1259C2×C4⋊C4—731no—
1260C2×C4⋊C4—1464no—
1261C2×C4⋊C4C22×D7311yescharacteristic
1262C2×C4⋊C4C22×D7311yescharacteristic
1263C2×C4⋊C4C22×D7311yescharacteristic
1264C2×C22⋊C4—2922no—
1265C2×C22⋊C4—2922no—
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—731no—
1280C2×C22⋊C4—731no—
1281C2×C22⋊C4—731no—
1282C2×C22⋊C4—731no—
1283C2×C22⋊C4—731no—
1284C2×C22⋊C4—731no—
1285C2×C22⋊C4—731no—
1286C2×C22⋊C4—731no—
1287C2×C22⋊C4—731no—
1288C2×C22⋊C4—731no—
1289C2×C22⋊C4—731no—
1290C2×C22⋊C4—731no—
1291C2×C22⋊C4—731no—
1292C2×C22⋊C4—731no—
1293C2×C22⋊C4—731no—
1294C2×C22⋊C4—731no—
1295C2×C22⋊C4—731no—
1296C2×C22⋊C4—731no—
1297C2×C22⋊C4—731no—
1298C2×C22⋊C4—731no—
1299C2×C22⋊C4—731no—
1300C2×C22⋊C4—731no—
1301C2×C22⋊C4—731no—
1302C2×C22⋊C4—731no—
1303C2×C22⋊C4—731no—
1304C2×C22⋊C4—731no—
1305C2×C22⋊C4—731no—
1306C2×C22⋊C4—731no—
1307C2×C22⋊C4—731no—
1308C2×C22⋊C4—731no—
1309C2×C22⋊C4—731no—
1310C2×C22⋊C4—731no—
1311C2×C22⋊C4—1464no—
1312C2×C22⋊C4—1464no—
1313C2×C22⋊C4C22×D7311yescharacteristic
1314C2×C22⋊C4C22×D7311yescharacteristic
1315C2×C22⋊C4C22×D7311yescharacteristic
1316C2×C22⋊C4C22×D7311yescharacteristic
1317C2×C22⋊C4C22×D7311yescharacteristic
1318C2×C22⋊C4C22×D7311yescharacteristic
1319C2×C22⋊C4C22×D7311yescharacteristic
1320C2×C22⋊C4C22×D7311yescharacteristic
1321C2×C22⋊C4C22×D7311yescharacteristic
1322C2×C22⋊C4C22×D7311yescharacteristic
1323C2×C22⋊C4C22×D7311yescharacteristic
1324C2×C22⋊C4C22×D7311yescharacteristic
1325C2×C22⋊C4C22×D7311yescharacteristic
1326C2×C42—731no—
1327C2×C42C22×D7311yescharacteristic
1328#95—731no—
1329#95—731no—
1330#95—731no—
1331#95—731no—
1332#95—731no—
1333#95—731no—
1334#95—731no—
1335#95—731no—
1336#95—731no—
1337#95—731no—
1338#95—731no—
1339#95—731no—
1340#95—731no—
1341#95—731no—
1342#95—731no—
1343#95—731no—
1344#95—731no—
1345#95—731no—
1346#95—731no—
1347#95—731no—
1348#95—731no—
1349#95—731no—
1350#95—731no—
1351#95—731no—
1352#95—731no—
1353#95—731no—
1354#95C22×D7311yescharacteristic
1355#95C22×D7311yescharacteristic
1356#95C22×D7311yescharacteristic
1357#95C22×D7311yescharacteristic
1358#95C22×D7311yescharacteristic
1359#95C22×D7311yescharacteristic
1360C24—2921no—
1361C24—2921no—
1362C24—2921no—
1363C24—2921no—
1364C24—2921no—
1365C24—2921no—
1366C24—2921no—
1367C24—2921no—
1368C24—2921no—
1369C24—2921no—
1370C24—2921no—
1371C24—2921no—
1372C24—734no—
1373C24—734no—
1374C24—731no—
1375C24—731no—
1376C24—731no—
1377C24—731no—
1378C24—1462no—
1379C24—1462no—
1380C24—1462no—
1381C24—1462no—
1382C24—1462no—
1383C24—1462no—
1384C24—1462no—
1385C24C23×D7311yescharacteristic
1386C24C23×D7311yescharacteristic
1387C24C23×D7311yescharacteristic
1388C24C23×D7311yescharacteristic
1389C24C23×D7311yescharacteristic
1390#41—29216no—
1391C2×Q8—2921no—
1392C2×Q8—2921no—
1393C2×Q8—1462no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—41no—
1421C2×D4—41no—
1422C2×D4—41no—
1423C2×D4—2921no—
1424C2×D4—2921no—
1425C2×D4—2921no—
1426C2×D4—2921no—
1427C2×D4—2921no—
1428C2×D4—29216no—
1429C2×D4—29216no—
1430C2×D4—29216no—
1431C2×D4—2921no—
1432C2×D4—2921no—
1433C2×D4—2921no—
1434C2×D4—2921no—
1435C2×D4—2921no—
1436C2×D4—2921no—
1437C2×D4—2921no—
1438C2×D4—2921no—
1439C2×D4—2921no—
1440C2×D4—2921no—
1441C2×D4—2921no—
1442C2×D4—2921no—
1443C2×D4—2921no—
1444C2×D4—2921no—
1445C2×D4—2921no—
1446C2×D4—2921no—
1447C2×D4—2921no—
1448C2×D4—2921no—
1449C2×D4—2921no—
1450C2×D4—2921no—
1451C2×D4—2921no—
1452C2×D4—2921no—
1453C2×D4—2921no—
1454C2×D4—2921no—
1455C2×D4—734no—
1456C2×D4—734no—
1457C2×D4—734no—
1458C2×D4—1462no—
1459C2×D4—1462no—
1460C2×D4—1462no—
1461C2×D4—1462no—
1462C2×D4—1462no—
1463C2×D4—1462no—
1464C2×D4—1462no—
1465C2×D4—1462no—
1466C2×D4—1462no—
1467C2×D4—1462no—
1468C2×D4—1462no—
1469C2×D4—1462no—
1470C2×D4—1462no—
1471C2×D4—1462no—
1472C2×D4—1462no—
1473C2×D4—1462no—
1474C2×D4—1462no—
1475C2×D4—1462no—
1476C2×D4—1462no—
1477C2×D4D4×D7314yes—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—41no—
1481C22×C4—41no—
1482C22×C4—41no—
1483C22×C4—41no—
1484C22×C4—2921no—
1485C22×C4—2921no—
1486C22×C4—2921no—
1487C22×C4—2921no—
1488C22×C4—2921no—
1489C22×C4—2921no—
1490C22×C4—2921no—
1491C22×C4—2921no—
1492C22×C4—2921no—
1493C22×C4—2921no—
1494C22×C4—29216no—
1495C22×C4—2921no—
1496C22×C4—2921no—
1497C22×C4—2921no—
1498C22×C4—2921no—
1499C22×C4—2921no—
1500C22×C4—2921no—
1501C22×C4—2921no—
1502C22×C4—2921no—
1503C22×C4—731no—
1504C22×C4—731no—
1505C22×C4—734no—
1506C22×C4—731no—
1507C22×C4—731no—
1508C22×C4—731no—
1509C22×C4—731no—
1510C22×C4—731no—
1511C22×C4—731no—
1512C22×C4—731no—
1513C22×C4—731no—
1514C22×C4—731no—
1515C22×C4—731no—
1516C22×C4—1462no—
1517C22×C4—1462no—
1518C22×C4—1462no—
1519C22×C4—1462no—
1520C22×C4—1462no—
1521C22×C4—1462no—
1522C22×C4—1462no—
1523C22×C4—1462no—
1524C22×C4—1462no—
1525C22×C4—1462no—
1526C22×C4—1462no—
1527C22×C4—1462no—
1528C22×C4—1462no—
1529C22×C4—1462no—
1530C22×C4—1462no—
1531C22×C4—1462no—
1532C22×C4—1462no—
1533C22×C4C23×D7311yescharacteristic
1534C22×C4C23×D7311yescharacteristic
1535C22×C4C23×D7311yescharacteristic
1536C22×C4C23×D7311yescharacteristic
1537C22×C4C23×D7311yescharacteristic
1538C22×C4C23×D7311yescharacteristic
1539C22×C4C23×D7311yescharacteristic
1540C22×C4C23×D7311yescharacteristic
1541C22×C4C23×D7311yescharacteristic
1542C22×C4C23×D7311yescharacteristic
1543C4⋊C4—22no—
1544C4⋊C4—22no—
1545C4⋊C4—41no—
1546C4⋊C4—2921no—
1547C4⋊C4—2921no—
1548C4⋊C4—2921no—
1549C4⋊C4—2921no—
1550C4⋊C4—2921no—
1551C4⋊C4—2921no—
1552C4⋊C4—2921no—
1553C4⋊C4—1462no—
1554C4⋊C4—1462no—
1555C4⋊C4—1462no—
1556C4⋊C4—1462no—
1557C4⋊C4—1462no—
1558C4⋊C4—1462no—
1559C4⋊C4—1462no—
1560C4⋊C4—1462no—
1561C22⋊C4—22no—
1562C22⋊C4—22no—
1563C22⋊C4—22no—
1564C22⋊C4—22no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—41no—
1568C22⋊C4—41no—
1569C22⋊C4—41no—
1570C22⋊C4—41no—
1571C22⋊C4—41no—
1572C22⋊C4—41no—
1573C22⋊C4—41no—
1574C22⋊C4—2921no—
1575C22⋊C4—2921no—
1576C22⋊C4—2921no—
1577C22⋊C4—2921no—
1578C22⋊C4—2921no—
1579C22⋊C4—2921no—
1580C22⋊C4—2921no—
1581C22⋊C4—2921no—
1582C22⋊C4—2921no—
1583C22⋊C4—2921no—
1584C22⋊C4—2921no—
1585C22⋊C4—2921no—
1586C22⋊C4—2921no—
1587C22⋊C4—2921no—
1588C22⋊C4—2921no—
1589C22⋊C4—2921no—
1590C22⋊C4—2921no—
1591C22⋊C4—2921no—
1592C22⋊C4—2921no—
1593C22⋊C4—2921no—
1594C22⋊C4—2921no—
1595C22⋊C4—2921no—
1596C22⋊C4—2921no—
1597C22⋊C4—1462no—
1598C22⋊C4—1462no—
1599C22⋊C4—1462no—
1600C22⋊C4—1462no—
1601C22⋊C4—1462no—
1602C22⋊C4—1462no—
1603C22⋊C4—1462no—
1604C22⋊C4—1462no—
1605C22⋊C4—1462no—
1606C22⋊C4—1462no—
1607C22⋊C4—1462no—
1608C22⋊C4—1462no—
1609C22⋊C4—1462no—
1610C22⋊C4—1462no—
1611C22⋊C4—1462no—
1612C22⋊C4—1462no—
1613C22⋊C4—1462no—
1614C22⋊C4—1462no—
1615C22⋊C4—1462no—
1616C22⋊C4—1462no—
1617C22⋊C4—1462no—
1618C22⋊C4—1462no—
1619C42—22no—
1620C42—1462no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—2924no—
1655C23—2924no—
1656C23—2924no—
1657C23—2924no—
1658C23—2924no—
1659C23—2924no—
1660C23—2924no—
1661C23—2924no—
1662C23—2924no—
1663C23—2924no—
1664C23—2924no—
1665C23—5842no—
1666C23—5842no—
1667C23—5842no—
1668C23—5842no—
1669C23—5842no—
1670C23—5842no—
1671C23—5842no—
1672C23—5842no—
1673C23—732no—
1674C23—732no—
1675C23—732no—
1676C23—732no—
1677C23—732no—
1678C23—1468no—
1679C23—1468no—
1680C23—1461no—
1681C23—1461no—
1682C23—1461no—
1683C23—1461no—
1684C23—1461no—
1685C23—1461no—
1686C23—1461no—
1687C23—1461no—
1688C23—1461no—
1689C23—1461no—
1690C23—1461no—
1691C23—1461no—
1692C23—1461no—
1693C23—1461no—
1694C23—1461no—
1695C23—1461no—
1696C23—1461no—
1697C23—1461no—
1698C23—1461no—
1699C23—1461no—
1700C23—1461no—
1701C23—1461no—
1702C23—1461no—
1703C23C2×D4×D7312yes—
1704C23C2×D4×D7312yes—
1705C23C24×D7311yescharacteristic
1706Q8—2924no—
1707D4—44no—
1708D4—44no—
1709D4—44no—
1710D4—44no—
1711D4—82no—
1712D4—82no—
1713D4—82no—
1714D4—82no—
1715D4—82no—
1716D4—82no—
1717D4—2924no—
1718D4—2924no—
1719D4—2924no—
1720D4—2924no—
1721D4—2924no—
1722D4—2924no—
1723D4—2924no—
1724D4—2924no—
1725D4—2924no—
1726D4—2924no—
1727D4—2924no—
1728D4—5842no—
1729D4—5842no—
1730D4—5842no—
1731D4—5842no—
1732D4—5842no—
1733D4—5842no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—44no—
1763C2×C4—82no—
1764C2×C4—2924no—
1765C2×C4—2924no—
1766C2×C4—2924no—
1767C2×C4—2924no—
1768C2×C4—2924no—
1769C2×C4—2924no—
1770C2×C4—2924no—
1771C2×C4—5842no—
1772C2×C4—5842no—
1773C2×C4—5842no—
1774C2×C4—732no—
1775C2×C4—732no—
1776C2×C4—1468no—
1777C2×C4—1468no—
1778C2×C4—1461no—
1779C2×C4—1461no—
1780C2×C4—1461no—
1781C2×C4—1461no—
1782C2×C4—1461no—
1783C2×C4—1461no—
1784C2×C4—1461no—
1785C2×C4—1461no—
1786C2×C4—1461no—
1787C2×C4—1461no—
1788C2×C4—1461no—
1789C2×C4—1461no—
1790C2×C4—1461no—
1791C2×C4—1461no—
1792C2×C4—1461no—
1793C2×C4—1461no—
1794C2×C4—1461no—
1795C2×C4—1461no—
1796C2×C4—1461no—
1797C2×C4—1461no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4—1461no—
1802C2×C4—1461no—
1803C2×C4—1461no—
1804C2×C4—1461no—
1805C2×C4—1461no—
1806C2×C4—1461no—
1807C2×C4—1461no—
1808C2×C4—1461no—
1809C2×C4—1461no—
1810C2×C4—1461no—
1811C2×C4—1461no—
1812C2×C4C2×D4×D7312yes—
1813C2×C4#1455663612yes—
1814C22—22no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—22no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—29216no—
1850C22—2921no—
1851C22—2921no—
1852C22—2921no—
1853C22—2921no—
1854C22—2921no—
1855C22—2921no—
1856C22—2921no—
1857C22—2921no—
1858C22—2921no—
1859C22—2921no—
1860C22—2921no—
1861C22—2921no—
1862C22—2921no—
1863C22—2921no—
1864C22—2921no—
1865C22—5848no—
1866C22—5848no—
1867C22—734no—
1868C22—1462no—
1869C22—1462no—
1870C22—1462no—
1871C22—1462no—
1872C22—1462no—
1873C22—1462no—
1874C22—1462no—
1875C22—1462no—
1876C22—1462no—
1877C22—1462no—
1878C22—1462no—
1879C22—1462no—
1880C22C22×D4×D7311yescharacteristic
1881C22H(5,𝔽2)×D7311yescharacteristic
1882C22H(5,𝔽2)×D7311yescharacteristic
1883C22H(5,𝔽2)×D7311yescharacteristic
1884C22C2×#1455663611yescharacteristic
1885C22#1798942211yescharacteristic
1886C22#1798942311yescharacteristic
1887C4—22no—
1888C4—22no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—2921no—
1898C4—2921no—
1899C4—2921no—
1900C4—2921no—
1901C4—2921no—
1902C4—2921no—
1903C4—2921no—
1904C4—2921no—
1905C4—2921no—
1906C4—2921no—
1907C4—1462no—
1908C4—1462no—
1909C2—42no—
1910C2—42no—
1911C2—81no—
1912C2—81no—
1913C2—81no—
1914C2—2922no—
1915C2—2922no—
1916C2—5841no—
1917C2—1464no—
1918C2#534×D7311yescharacteristic
1919C2#2262355911yescharacteristic
1920C2#2262356811yescharacteristic
1921C2#2262423611yescharacteristic
1922C2#2262423711yescharacteristic
1923C2#2262423811yescharacteristic
1924C2#2262424911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2673C2
hypercenter#2673D73
hypocenterC73#36704
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2673

Complements

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

NH ≅ G/Ntype
1. C2×#17989150C2semidirect
2. C2×#121×D73C2semidirect
3. #22618222C2semidirect
4. #22618220C2semidirect
5. #22616373C2semidirect
6. #22616371C2semidirect
7. #22616366C2semidirect
8. #22616364C2semidirect
9. #22616340C2semidirect
10. #22616338C2semidirect
11. #22616335C2semidirect
12. #22616333C2semidirect
13. #22616204C2semidirect
14. #22616202C2semidirect
15. #22616191C2semidirect
16. #22616169C2semidirect
17. #22616167C2semidirect
18. #22616162C2semidirect
19. #22616160C2semidirect
20. #22615642C2semidirect
21. #22615642C2semidirect
22. #22614216C2semidirect
23. #22614203C2semidirect
24. #22613326C2semidirect
25. #22613322C2semidirect
26. #22613302C2semidirect
27. #22613298C2semidirect
28. #22613261C2semidirect
29. #22613245C2semidirect
30. #22612505C2semidirect
31. C73×#2673C2semidirect
38. C2×#14556587C22semidirect
39. C2×#14556579C22semidirect
40. C2×#14556578C22semidirect
43. C2×#14556573C22semidirect
44. C2×#14556573C22semidirect
45. C2×#14556572C22semidirect
50. C2×#14556564C22semidirect
53. C2×#14556563C22semidirect
54. C2×#14556563C22semidirect
55. C2×#14556563C22semidirect
56. C2×#14556563C22semidirect
57. C2×#14556563C22semidirect
59. C2×#14556562C22semidirect
73. #17988529C22semidirect
74. #17988528C22semidirect
75. #17988523C22semidirect
76. #17988522C22semidirect
77. #17988521C22semidirect
78. #17988520C22semidirect
79. #17988516C22semidirect
80. #17988516C22semidirect
81. #17988515C22semidirect
82. #17988515C22semidirect
83. #17988514C22semidirect
84. #17988512C22semidirect
85. #17988508C22semidirect
86. #17988507C22semidirect
87. #17988505C22semidirect
88. #17988505C22semidirect
89. #17988504C22semidirect
90. #17988503C22semidirect
91. #17988503C22semidirect
92. #17988503C22semidirect
93. #17988503C22semidirect
94. #17988503C22semidirect
95. #17988503C22semidirect
96. #17988502C22semidirect
97. #17988502C22semidirect
98. #17988501C22semidirect
99. #17988501C22semidirect
100. #17988501C22semidirect
101. #17988501C22semidirect
102. #17988501C22semidirect
103. #17988500C22semidirect
104. #17988499C22semidirect
105. #17988496C22semidirect
106. #17988496C22semidirect
107. #17988496C22semidirect
108. #17988495C22semidirect
109. #17988495C22semidirect
110. #17988495C22semidirect
111. #17988495C22semidirect
112. #17988495C22semidirect
113. #17988495C22semidirect
114. #17988495C22semidirect
115. #17988479C22semidirect
116. #17988478C22semidirect
117. #17988475C22semidirect
118. #17988472C22semidirect
119. #17988471C22semidirect
120. #17988468C22semidirect
121. #17988467C22semidirect
122. #17988467C22semidirect
123. #17988467C22semidirect
124. #17988467C22semidirect
125. #17988467C22semidirect
126. #17988467C22semidirect
127. #17988466C22semidirect
128. #17988466C22semidirect
129. #17988465C22semidirect
130. #17988465C22semidirect
131. #17988465C22semidirect
132. #17988464C22semidirect
133. #17988464C22semidirect
134. #17988464C22semidirect
139. #17988463C22semidirect
140. #17988463C22semidirect
141. #17988463C22semidirect
142. #17988463C22semidirect
143. #17988463C22semidirect
144. #17988463C22semidirect
145. #17988463C22semidirect
146. #17988462C22semidirect
147. #17988462C22semidirect
148. #17988462C22semidirect
151. #17988460C22semidirect
152. #17988459C22semidirect
153. #17988459C22semidirect
156. #17988458C22semidirect
157. #17988458C22semidirect
158. #17988450C22semidirect
163. #17988449C22semidirect
164. #17988449C22semidirect
165. #17988448C22semidirect
166. #17988447C22semidirect
167. #17988446C22semidirect
168. #17988445C22semidirect
169. #17988444C22semidirect
174. C2×#127×C73C22semidirect
175. C2×#123×C73C22semidirect
177. C2×#121×C73C22semidirect
178. #394×C73C22semidirect
179. #394×C73C22semidirect
180. #392×C73C22semidirect
181. #392×C73C22semidirect
182. #392×C73C22semidirect
183. #392×C73C22semidirect
184. #388×C73C22semidirect
185. #387×C73C22semidirect
186. #386×C73C22semidirect
187. #386×C73C22semidirect
188. #386×C73C22semidirect
221. C2×D4×D73D4semidirect
978. #2673D73semidirect
994. C73#36704semidirect
1002. C2×#127C2×D73semidirect
1010. C2×#123C2×D73semidirect
1027. C2×#121C2×D73semidirect
1070. #394C2×D73semidirect
1071. #394C2×D73semidirect
1084. #392C2×D73semidirect
1085. #392C2×D73semidirect
1086. #392C2×D73semidirect
1087. #392C2×D73semidirect
1091. #388C2×D73semidirect
1095. #387C2×D73semidirect
1121. #386C2×D73semidirect
1122. #386C2×D73semidirect
1123. #386C2×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179891502
C2×#121×D732
#226182222
#226182202
#226163732
#226163712
#226163662
#226163642
#226163402
#226163382
#226163352
#226163332
#226162042
#226162022
#226161912
#226161692
#226161672
#226161622
#226161602
#226156422
#226142162
#226142032
#226133262
#226133222
#226133022
#226132982
#226132612
#226132452
#226125052
C73×#26732
#3670473