Finite Group Databasebeta

← #33292818

Subgroups — #33292818

Order 18688.

2910 conjugacy classes of subgroups.

The subgroup lattice has 1914 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989166C211yesmaximal, characteristic, complemented
2C2×#123×D73C211yesmaximal, characteristic, complemented
3#22618212C211yesmaximal, characteristic, complemented
4#22618210C211yesmaximal, characteristic, complemented
5#22616487C211yesmaximal, characteristic, complemented
6#22616485C211yesmaximal, characteristic, complemented
7#22616484C211yesmaximal, characteristic, complemented
8#22616482C211yesmaximal, characteristic, complemented
9#22616480C211yesmaximal, characteristic, complemented
10#22616479C211yesmaximal, characteristic, complemented
11#22616478C211yesmaximal, characteristic, complemented
12#22616477C211yesmaximal, characteristic, complemented
13#22616203C211yesmaximal, characteristic, complemented
14#22616202C211yesmaximal, characteristic, complemented
15#22616196C211yesmaximal, characteristic, complemented
16#22616193C211yesmaximal, characteristic, complemented
17#22616192C211yesmaximal, characteristic, complemented
18#22616191C211yesmaximal, characteristic, complemented
19#22616190C211yesmaximal, characteristic, complemented
20#22615670C211yesmaximal, characteristic, complemented
21#22615664C211yesmaximal, characteristic, complemented
22#22615409C211yesmaximal, characteristic, complemented
23#22615405C211yesmaximal, characteristic, complemented
24#22613565C211yesmaximal, characteristic, complemented
25#22613563C211yesmaximal, characteristic, complemented
26#22613248C211yesmaximal, characteristic, complemented
27#22613248C211yesmaximal, characteristic, complemented
28#22613245C211yesmaximal, characteristic, complemented
29#22613245C211yesmaximal, characteristic, complemented
30#22612530C211yesmaximal, characteristic, complemented
31C73×#2673C211yesmaximal, characteristic, complemented
32C22×#11924028C2211yescharacteristic
33C22×#11924027C2211yescharacteristic
34C22×D4×D73C2211yescharacteristic
35C23×C4×D73C2211yescharacteristic
36#17989166—28no—
37C2×#14556587C2211yescharacteristic
38C2×#14556587C2211yescharacteristic
39C2×#14556587C2211yescharacteristic
40C2×#14556576C2211yescharacteristic
41C2×#14556576C2211yescharacteristic
42C2×#14556575C2211yescharacteristic
43C2×#14556574C2211yescharacteristic
44C2×#14556573C2211yescharacteristic
45C2×#14556573C2211yescharacteristic
46C2×#14556572C2211yescharacteristic
47#123×D73—28no—
48C2×#14556571C2211yescharacteristic, complemented
49C2×#14556570C2211yescharacteristic, complemented
50C2×#14556568C2211yescharacteristic, complemented
51C2×#14556568C2211yescharacteristic, complemented
52C2×#14556564C2211yescharacteristic
53C2×#14556564C2211yescharacteristic
54C2×#14556564C2211yescharacteristic, complemented
55C2×#14556563C2211yescharacteristic, complemented
56C2×#14556563C2211yescharacteristic, complemented
57C2×#14556563C2211yescharacteristic, complemented
58C2×#14556562C2211yescharacteristic
59C2×#14556562C2211yescharacteristic
60C2×#14556562C2211yescharacteristic, complemented
61C2×#14556562C2211yescharacteristic, complemented
62C2×#14556561C2211yescharacteristic
63C2×#14556561C2211yescharacteristic
64C2×#14556559C2211yescharacteristic
65C2×#14556559C2211yescharacteristic
66C2×#14556559C2211yescharacteristic
67C2×#14556559C2211yescharacteristic
68C2×#14556559C2211yescharacteristic
69C2×#14556559C2211yescharacteristic
70C2×C4⋊C4×D73C2211yescharacteristic
71C2×C4⋊C4×D73C2211yescharacteristic
72C2×C22⋊C4×D73C2211yescharacteristic
73C2×C22⋊C4×D73C2211yescharacteristic
74C2×C22⋊C4×D73C2211yescharacteristic
75#17988529C2211yescharacteristic, complemented
76#17988528C2211yescharacteristic, complemented
77#17988527C2211yescharacteristic, complemented
78#17988526C2211yescharacteristic, complemented
79#17988516C2211yescharacteristic, complemented
80#17988515C2211yescharacteristic, complemented
81#17988514C2211yescharacteristic, complemented
82#17988512C2211yescharacteristic, complemented
83#17988504C2211yescharacteristic, complemented
84#17988503C2211yescharacteristic, complemented
85#17988503C2211yescharacteristic, complemented
86#17988503C2211yescharacteristic, complemented
87#17988502C2211yescharacteristic, complemented
88#17988502C2211yescharacteristic, complemented
89#17988502C2211yescharacteristic, complemented
90#17988501C2211yescharacteristic, complemented
91#17988501C2211yescharacteristic, complemented
92#17988501C2211yescharacteristic, complemented
93#17988500C2211yescharacteristic, complemented
94#17988500C2211yescharacteristic, complemented
95#17988500C2211yescharacteristic, complemented
96#17988500C2211yescharacteristic, complemented
97#17988499C2211yescharacteristic, complemented
98#17988499C2211yescharacteristic, complemented
99#17988499C2211yescharacteristic, complemented
100#17988499C2211yescharacteristic, complemented
101#17988497C2211yescharacteristic
102#17988496C2211yescharacteristic
103#17988496C2211yescharacteristic, complemented
104#17988496C2211yescharacteristic, complemented
105#17988496C2211yescharacteristic, complemented
106#17988495C2211yescharacteristic
107#17988495C2211yescharacteristic
108#17988495C2211yescharacteristic
109#17988495C2211yescharacteristic
110#17988495C2211yescharacteristic
111#17988495C2211yescharacteristic, complemented
112#17988495C2211yescharacteristic, complemented
113#17988495C2211yescharacteristic, complemented
114#17988495C2211yescharacteristic, complemented
115#17988495C2211yescharacteristic, complemented
116#17988495C2211yescharacteristic, complemented
117#17988490C2211yescharacteristic
118#17988489C2211yescharacteristic
119#17988487C2211yescharacteristic
120#17988487C2211yescharacteristic
121#17988481C2211yescharacteristic, complemented
122#17988480C2211yescharacteristic, complemented
123#17988480C2211yescharacteristic, complemented
124#17988478C2211yescharacteristic, complemented
125#17988477C2211yescharacteristic, complemented
126#17988475C2211yescharacteristic, complemented
127#17988475C2211yescharacteristic, complemented
128#17988474C2211yescharacteristic, complemented
129#17988473C2211yescharacteristic, complemented
130#17988472C2211yescharacteristic, complemented
131#17988471C2211yescharacteristic, complemented
132#17988470C2211yescharacteristic, complemented
133#17988469C2211yescharacteristic, complemented
134#17988468C2211yescharacteristic, complemented
135#17988467C2211yescharacteristic, complemented
136#17988467C2211yescharacteristic, complemented
137#17988467C2211yescharacteristic, complemented
138#17988467C2211yescharacteristic, complemented
139#17988467C2211yescharacteristic, complemented
140#17988467C2211yescharacteristic, complemented
141#17988466C2211yescharacteristic, complemented
142#17988466C2211yescharacteristic, complemented
143#17988466C2211yescharacteristic, complemented
144#17988465C2211yescharacteristic
145#17988465C2211yescharacteristic
146#17988465C2211yescharacteristic, complemented
147#17988465C2211yescharacteristic, complemented
148#17988465C2211yescharacteristic, complemented
149#17988464C2211yescharacteristic, complemented
150#17988464C2211yescharacteristic, complemented
151#17988464C2211yescharacteristic, complemented
152#17988464C2211yescharacteristic, complemented
153#17988463C2211yescharacteristic
154#17988463C2211yescharacteristic
155#17988463C2211yescharacteristic
156#17988463C2211yescharacteristic
157#17988463C2211yescharacteristic
158#17988463C2211yescharacteristic
159#17988463C2211yescharacteristic, complemented
160#17988463C2211yescharacteristic, complemented
161#17988463C2211yescharacteristic, complemented
162#17988463C2211yescharacteristic, complemented
163#17988463C2211yescharacteristic, complemented
164#17988449C2211yescharacteristic
165#17988449C2211yescharacteristic
166#17988447C2211yescharacteristic, complemented
167#17988446C2211yescharacteristic
168#17988446C2211yescharacteristic, complemented
169#17988445C2211yescharacteristic, complemented
170#17988444C2211yescharacteristic
171#17988444C2211yescharacteristic, complemented
172C4×#11924005C2211yescharacteristic
173#17988434C2211yescharacteristic
174C2×#127×C73C2211yescharacteristic
175C2×#123×C73C2211yescharacteristic
176C2×#121×C73C2211yescharacteristic, complemented
177C2×#121×C73C2211yescharacteristic, complemented
178#394×C73C2211yescharacteristic, complemented
179#394×C73C2211yescharacteristic, complemented
180#392×C73C2211yescharacteristic
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
191C2×#11924028—24no—
192C2×#11924028—42no—
193C2×#11924028—42no—
194C2×#11924027—24no—
195C2×#11924027—42no—
196C2×#11924027—42no—
197C22×Dic146C2311yescharacteristic
198C22×Dic146C2311yescharacteristic
199C22×D292C2311yescharacteristic
200C22×D292C2311yescharacteristic
201C22×D292C2311yescharacteristic
202C22×D292C2311yescharacteristic
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
213C22×C22⋊D73C2311yescharacteristic
214C22×C22⋊D73C2311yescharacteristic
215C22×C22⋊D73C2311yescharacteristic
216C22×C22⋊D73C2311yescharacteristic
217C22×C22⋊D73C2311yescharacteristic
218C22×C22⋊D73C2311yescharacteristic
219C2×D4×D73—24no—
220C2×D4×D73—42no—
221C2×D4×D73—42no—
222C23×Dic73C2311yescharacteristic
223C23×Dic73C2311yescharacteristic
224C23×Dic73C2311yescharacteristic
225C22×C4×D73—24no—
226C22×C4×D73—42no—
227C22×C4×D73—42no—
228C22×C4×D73C2311yescharacteristic
229C22×C4×D73C2311yescharacteristic
230C22×C4×D73C2311yescharacteristic
231C22×C4×D73C2311yescharacteristic
232C22×C4×D73C2311yescharacteristic
233C22×C4×D73C2311yescharacteristic
234C22×C4×D73C2311yescharacteristic
235C22×C4×D73C2311yescharacteristic
236#14556587—42no—
237#14556587—42no—
238#14556587—42no—
239#14556576—24no—
240#14556576—24no—
241#14556575—24no—
242#14556574—24no—
243#14556573—24no—
244#14556573—24no—
245#14556572—24no—
246#14556571—24no—
247#14556570—24no—
248#14556568—24no—
249#14556568—24no—
250#14556564—24no—
251#14556564—24no—
252#14556564—42no—
253#14556563—24no—
254#14556563—24no—
255#14556563—42no—
256#14556562—24no—
257#14556562—24no—
258#14556562—24no—
259#14556562—42no—
260#14556561—42no—
261#14556561—42no—
262#14556559—42no—
263#14556559—42no—
264#14556559—42no—
265#14556559—42no—
266#14556559—42no—
267#14556559—42no—
268C2×C4⋊Dic73C2311yescharacteristic
269C2×C4⋊Dic73C2311yescharacteristic
270C2×C4⋊Dic73C2311yescharacteristic
271C2×C4⋊Dic73C2311yescharacteristic
272C2×C4⋊Dic73C2311yescharacteristic
273C2×#11924007C2311yescharacteristic
274C2×#11924007C2311yescharacteristic
275C2×#11924007C2311yescharacteristic
276C2×#11924007C2311yescharacteristic
277C2×#11924007C2311yescharacteristic
278C2×#11924007C2311yescharacteristic
279C2×#11924007C2311yescharacteristic
280C2×#11924007C2311yescharacteristic
281C4⋊C4×D73—24no—
282C4⋊C4×D73D418yescomplemented
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×C22⋊Dic73C2311yescharacteristic
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
326C22⋊C4×D73—24no—
327C22⋊C4×D73—24no—
328C22⋊C4×D73—24no—
329C2×C4×Dic73C2311yescharacteristic
330C2×C4×Dic73C2311yescharacteristic
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—42no—
371#123×C73—24no—
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—22no—
405C23×D73—41no—
406C23×D73—41no—
407C23×D73—41no—
408C23×D73—41no—
409C23×D73—41no—
410C23×D73—41no—
411C23×D73C2411yescharacteristic
412C23×D73C2411yescharacteristic
413C23×D73C2411yescharacteristic
414C23×D73C2411yescharacteristic
415#11924028—416no—
416#11924027—416no—
417C2×Dic146—22no—
418C2×Dic146—22no—
419C2×Dic146—41no—
420C2×Dic146—41no—
421C2×Dic146—41no—
422C2×Dic146—41no—
423C2×D292—22no—
424C2×D292—22no—
425C2×D292—22no—
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×D292—41no—
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—22no—
452C2×C22⋊D73—22no—
453C2×C22⋊D73—22no—
454C2×C22⋊D73—22no—
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⋊D73—41no—
476C2×C22⋊D73—41no—
477C2×C22⋊D73—41no—
478C2×C22⋊D73—41no—
479C2×C22⋊D73—41no—
480C2×C22⋊D73—41no—
481C2×C22⋊D73—41no—
482C2×C22⋊D73—41no—
483D4×D73—416no—
484C22×Dic73—22no—
485C22×Dic73—22no—
486C22×Dic73—22no—
487C22×Dic73—22no—
488C22×Dic73—41no—
489C22×Dic73—41no—
490C22×Dic73—41no—
491C22×Dic73—41no—
492C22×Dic73—41no—
493C22×Dic73C2411yescharacteristic
494C22×Dic73C2411yescharacteristic
495C22×Dic73C2411yescharacteristic
496C22×Dic73C2411yescharacteristic
497C22×Dic73C2411yescharacteristic
498C22×Dic73C2411yescharacteristic
499C22×Dic73C2411yescharacteristic
500C22×Dic73C2411yescharacteristic
501C22×Dic73C2411yescharacteristic
502C22×Dic73C2411yescharacteristic
503C22×Dic73C2411yescharacteristic
504C22×Dic73C2411yescharacteristic
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—41no—
515C2×C4×D73—41no—
516C2×C4×D73—41no—
517C2×C4×D73—41no—
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—416no—
527C2×C4×D73C2×D414yes—
528C2×C4×D73C2×D414yes—
529C2×C4×D73C2×D414yes—
530C4⋊Dic73—22no—
531C4⋊Dic73—22no—
532C4⋊Dic73—22no—
533C4⋊Dic73—41no—
534C4⋊Dic73C2×D414yes—
535#11924007—22no—
536#11924007—22no—
537#11924007—22no—
538#11924007—22no—
539#11924007—41no—
540#11924007—41no—
541#11924007C2×D414yes—
542#11924007C2×D414yes—
543C22⋊Dic73—22no—
544C22⋊Dic73—22no—
545C22⋊Dic73—22no—
546C22⋊Dic73—22no—
547C22⋊Dic73—22no—
548C22⋊Dic73—22no—
549C22⋊Dic73—22no—
550C22⋊Dic73—41no—
551C22⋊Dic73—41no—
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—
562#11924005—22no—
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—41no—
575#11924005—41no—
576#11924005—41no—
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—
586C4×Dic73—41no—
587C4×Dic73—41no—
588C4×Dic73—41no—
589C24×C73C2411yescharacteristic
590C24×C73C2411yescharacteristic
591C24×C73C2411yescharacteristic
592C24×C73C2411yescharacteristic
593C24×C73C2411yescharacteristic
594C2×D4×C73—22no—
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—41no—
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—
624C22×C4×C73—22no—
625C22×C4×C73—22no—
626C22×C4×C73—22no—
627C22×C4×C73—41no—
628C22×C4×C73—41no—
629C22×C4×C73—41no—
630C22×C4×C73C2411yescharacteristic
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
640C4⋊C4×C73—22no—
641C4⋊C4×C73—41no—
642C4⋊C4×C73C2×D414yes—
643C22⋊C4×C73—22no—
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—
656C42×C73—41no—
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—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×C73H(5,𝔽2)12yes—
692C23×C73C2511yescharacteristic
693C22×D73—21no—
694C22×D73—21no—
695C22×D73—21no—
696C22×D73—21no—
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—21no—
718C22×D73—44no—
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—82no—
728C22×D73—82no—
729C22×D73—82no—
730C22×D73—82no—
731C22×D73C22×D412yes—
732C22×D73H(5,𝔽2)12yes—
733C22×D73H(5,𝔽2)12yes—
734C22×D73H(5,𝔽2)12yes—
735D4×C73—44no—
736D4×C73—44no—
737D4×C73—82no—
738D4×C73—82no—
739D4×C73—82no—
740D4×C73—82no—
741D4×C73—82no—
742D4×C73—82no—
743D4×C73—82no—
744D4×C73—82no—
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—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—44no—
773C2×C4×C73—44no—
774C2×C4×C73C22×D412yes—
775C2×C4×C73C22×D412yes—
776C2×C4×C73C22×D412yes—
777C22⋊D73—44no—
778C22⋊D73—44no—
779C22⋊D73—44no—
780C22⋊D73—44no—
781C22⋊D73—44no—
782C22⋊D73—44no—
783C22⋊D73—82no—
784C22⋊D73—82no—
785C22⋊D73—82no—
786C22⋊D73—82no—
787C22⋊D73—82no—
788C22⋊D73—82no—
789C22⋊D73—82no—
790C22⋊D73—82no—
791C22⋊D73—82no—
792C22⋊D73—82no—
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—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—44no—
827C2×Dic73—44no—
828C2×Dic73—44no—
829C2×Dic73C22×D412yes—
830C2×Dic73C22×D412yes—
831C2×Dic73C22×D412yes—
832D292—44no—
833D292—44no—
834D292—82no—
835D292—82no—
836C4×D73—28no—
837C4×D73—44no—
838C4×D73—44no—
839C4×D73—44no—
840C4×D73—44no—
841C4×D73—44no—
842C4×D73—44no—
843C4×D73—44no—
844Dic146—44no—
845Dic146—44no—
846C22×C73—22no—
847C22×C73—22no—
848C22×C73—22no—
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—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×C73C23×D411yescharacteristic
882C22×C73C2×H(5,𝔽2)11yescharacteristic
883C22×C73C2×H(5,𝔽2)11yescharacteristic
884C22×C73C2×H(5,𝔽2)11yescharacteristic
885C22×C73C2×H(5,𝔽2)11yescharacteristic
886C22×C73#58511yescharacteristic
887C22×C73#58511yescharacteristic
888C2×D73—22no—
889C2×D73—22no—
890C2×D73—22no—
891C2×D73—22no—
892C2×D73—22no—
893C2×D73—22no—
894C2×D73—22no—
895C2×D73—22no—
896C2×D73—22no—
897C2×D73—416no—
898C2×D73—41no—
899C2×D73—41no—
900C2×D73—41no—
901C2×D73—41no—
902C2×D73—41no—
903C2×D73—41no—
904C2×D73—41no—
905C2×D73—41no—
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—88no—
917C2×D73#53514yes—
918C4×C73—22no—
919C4×C73—22no—
920C4×C73—22no—
921C4×C73—41no—
922C4×C73—41no—
923C4×C73—41no—
924C4×C73—41no—
925C4×C73—41no—
926C4×C73—41no—
927C4×C73—41no—
928Dic73—22no—
929Dic73—22no—
930Dic73—22no—
931Dic73—41no—
932Dic73—41no—
933Dic73—41no—
934Dic73—41no—
935Dic73—41no—
936Dic73—41no—
937Dic73—41no—
938Dic73—41no—
939Dic73—41no—
940#36710—731nomaximal, Sylow
941C2×C73—42no—
942C2×C73—81no—
943C2×C73—81no—
944C2×C73—81no—
945C2×C73—81no—
946C2×C73C2×#53511yescharacteristic
947C2×C73#348411yescharacteristic
948C2×C73#348711yescharacteristic
949C2×C73#353411yescharacteristic
950C2×C73#353411yescharacteristic
951C2×C73#353411yescharacteristic
952C2×C73#353411yescharacteristic
953D73—24no—
954D73—42no—
955D73—81no—
956D73—81no—
957C2×#537—731no—
958C22×#123—731no—
959#2847—731no—
960#2847—731no—
961#2696—731no—
962#2696—731no—
963#2696—731no—
964#2696—731no—
965#2696—731no—
966#2696—731no—
967#2696—731no—
968#2696—731no—
969#2673—731no—
970#2673—731no—
971#2673—731no—
972#2673—731no—
973#2673—731no—
974#2673—731no—
975#2673—731no—
976#2673D7311yescharacteristic, complemented
977#2617—731no—
978#2617—731no—
979#2591—731no—
980#2591—731no—
981#2433—731no—
982#2433—731no—
983#2404—731no—
984#2404—731no—
985#2404—731no—
986#2404—731no—
987#2313—731no—
988C73#3671011yescharacteristic, complemented, Sylow
989C22×#41—731no—
990C22×#41—731no—
991C23×D4—731no—
992C24×C4—731no—
993#537—1468no—
994C2×#127—731no—
995C2×#127—731no—
996C2×#127—731no—
997C2×#127C2×D7311yescharacteristic
998C2×#123—731no—
999C2×#123—731no—
1000C2×#123—731no—
1001C2×#123—731no—
1002C2×#123—731no—
1003C2×#123—731no—
1004C2×#123—731no—
1005C2×#123—1468no—
1006C2×#123C2×D7311yescharacteristic
1007C2×C22⋊Q8—731no—
1008C2×C22⋊Q8—731no—
1009C2×C22⋊Q8—731no—
1010C2×C22⋊Q8—731no—
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×#121C2×D7311yescharacteristic, complemented
1022C2×#121C2×D7311yescharacteristic, complemented
1023C2×#120—731no—
1024C2×#120—731no—
1025C2×#120—731no—
1026C2×#120—731no—
1027C2×#120—731no—
1028C2×#120—731no—
1029C2×#120—731no—
1030C2×#120—731no—
1031C22×C4⋊C4—731no—
1032C22×C4⋊C4—731no—
1033C22×C22⋊C4—731no—
1034C22×C22⋊C4—731no—
1035C22×C22⋊C4—731no—
1036#400—731no—
1037#400—731no—
1038#400—731no—
1039#400—731no—
1040#397—731no—
1041#397—731no—
1042#397—731no—
1043#397—731no—
1044#394—731no—
1045#394—731no—
1046#394—731no—
1047#394—731no—
1048#394—731no—
1049#394—731no—
1050#394—731no—
1051#394—731no—
1052#394—731no—
1053#394—731no—
1054#394C2×D7311yescharacteristic, complemented
1055#394C2×D7311yescharacteristic, complemented
1056#393—731no—
1057#393—731no—
1058#393—731no—
1059#393—731no—
1060#393—731no—
1061#393—731no—
1062#393—731no—
1063#393—731no—
1064#392—731no—
1065#392—731no—
1066#392—731no—
1067#392—731no—
1068#392—731no—
1069#392—731no—
1070#392—731no—
1071#392—731no—
1072#392—731no—
1073#392—731no—
1074#392—731no—
1075#392—731no—
1076#392—731no—
1077#392—731no—
1078#392—731no—
1079#392—731no—
1080#392C2×D7311yescharacteristic
1081#392C2×D7311yescharacteristic, complemented
1082#392C2×D7311yescharacteristic, complemented
1083#392C2×D7311yescharacteristic, complemented
1084#390—731no—
1085#390—731no—
1086#390—731no—
1087#390—731no—
1088#388—731no—
1089#388—731no—
1090#388—731no—
1091#388—731no—
1092#388—731no—
1093#388—731no—
1094#388—731no—
1095#388C2×D7311yescharacteristic, complemented
1096#387—731no—
1097#387—731no—
1098#387—731no—
1099#387—731no—
1100#387—731no—
1101#387—731no—
1102#387—731no—
1103#387C2×D7311yescharacteristic, complemented
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#386—731no—
1122#386—731no—
1123#386—731no—
1124#386—731no—
1125#386—731no—
1126#386—731no—
1127#386—731no—
1128#386—731no—
1129#386—731no—
1130#386—731no—
1131#386—731no—
1132#386—731no—
1133#386C2×D7311yescharacteristic, complemented
1134#386C2×D7311yescharacteristic, complemented
1135#386C2×D7311yescharacteristic, complemented
1136#381—731no—
1137#381—731no—
1138#380—731no—
1139#380—731no—
1140#380—731no—
1141#380—731no—
1142#380—731no—
1143#380—731no—
1144C4×C22⋊C4—731no—
1145C4×C22⋊C4—731no—
1146C25—731no—
1147C25—731no—
1148C2×#41—2922no—
1149C2×#41—2922no—
1150C2×#41—2922no—
1151C2×#41—2922no—
1152C2×#41—1464no—
1153C2×#41—1464no—
1154C22×Q8—731no—
1155C22×Q8—731no—
1156C22×D4—2922no—
1157C22×D4—2922no—
1158C22×D4—731no—
1159C22×D4—731no—
1160C22×D4—731no—
1161C22×D4—731no—
1162C22×D4—731no—
1163C22×D4—731no—
1164C22×D4—731no—
1165C22×D4—731no—
1166C22×D4—731no—
1167C22×D4—731no—
1168C22×D4—731no—
1169C22×D4—731no—
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—1464no—
1179C22×D4C22×D7311yescharacteristic
1180C22×D4C22×D7311yescharacteristic
1181C22×D4C22×D7311yescharacteristic
1182C22×D4C22×D7311yescharacteristic
1183C22×D4C22×D7311yescharacteristic
1184C22×D4C22×D7311yescharacteristic
1185C22×D4C22×D7311yescharacteristic
1186C22×D4C22×D7311yescharacteristic
1187C22×D4C22×D7311yescharacteristic
1188C22×D4C22×D7311yescharacteristic
1189C23×C4—2922no—
1190C23×C4—2922no—
1191C23×C4—731no—
1192C23×C4—731no—
1193C23×C4—731no—
1194C23×C4—731no—
1195C23×C4—731no—
1196C23×C4—731no—
1197C23×C4—731no—
1198C23×C4—731no—
1199C23×C4—731no—
1200C23×C4—731no—
1201C23×C4—731no—
1202C23×C4—1464no—
1203C23×C4C22×D7311yescharacteristic
1204C23×C4C22×D7311yescharacteristic
1205#127—42no—
1206#127—2922no—
1207#127—2922no—
1208#127—2922no—
1209#123—24no—
1210#123—1464no—
1211#123—1464no—
1212#123—1464no—
1213#123—1464no—
1214#123—1464no—
1215#123—1464no—
1216#123—1464no—
1217C22⋊Q8—1464no—
1218C22⋊Q8—1464no—
1219C22⋊Q8—1464no—
1220C22⋊Q8—1464no—
1221#121—24no—
1222#121—42no—
1223#121—2922no—
1224#121—2922no—
1225#121—2922no—
1226#121—1464no—
1227#121—1464no—
1228#121—1464no—
1229#121—1464no—
1230#121—1464no—
1231#121—1464no—
1232#121—1464no—
1233#120—2922no—
1234#120—2922no—
1235#120—2922no—
1236#120—2922no—
1237#120—2922no—
1238#120—2922no—
1239#120—2922no—
1240#120—2922no—
1241C2×C4⋊C4—731no—
1242C2×C4⋊C4—731no—
1243C2×C4⋊C4—731no—
1244C2×C4⋊C4—731no—
1245C2×C4⋊C4—731no—
1246C2×C4⋊C4—731no—
1247C2×C4⋊C4—738no—
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—1464no—
1256C2×C4⋊C4C22×D7311yescharacteristic
1257C2×C4⋊C4C22×D7311yescharacteristic
1258C2×C4⋊C4C22×D7311yescharacteristic
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—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—1464no—
1303C2×C22⋊C4—1464no—
1304C2×C22⋊C4—1464no—
1305C2×C22⋊C4C22×D7311yescharacteristic
1306C2×C22⋊C4C22×D7311yescharacteristic
1307C2×C22⋊C4C22×D7311yescharacteristic
1308C2×C22⋊C4C22×D7311yescharacteristic
1309C2×C22⋊C4C22×D7311yescharacteristic
1310C2×C22⋊C4C22×D7311yescharacteristic
1311C2×C22⋊C4C22×D7311yescharacteristic
1312C2×C22⋊C4C22×D7311yescharacteristic
1313C2×C22⋊C4C22×D7311yescharacteristic
1314C2×C22⋊C4C22×D7311yescharacteristic
1315C2×C22⋊C4C22×D7311yescharacteristic
1316C2×C22⋊C4C22×D7311yescharacteristic
1317C2×C22⋊C4C22×D7311yescharacteristic
1318C2×C42—731no—
1319C2×C42—731no—
1320C2×C42—731no—
1321C2×C42C22×D7311yescharacteristic
1322#95—731no—
1323#95—731no—
1324#95—731no—
1325#95—731no—
1326#95—731no—
1327#95—731no—
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#95C22×D7311yescharacteristic
1349#95C22×D7311yescharacteristic
1350#95C22×D7311yescharacteristic
1351#95C22×D7311yescharacteristic
1352#95C22×D7311yescharacteristic
1353#95C22×D7311yescharacteristic
1354C24—2921no—
1355C24—2921no—
1356C24—2921no—
1357C24—2921no—
1358C24—2921no—
1359C24—2921no—
1360C24—731no—
1361C24—731no—
1362C24—731no—
1363C24—731no—
1364C24—1462no—
1365C24—1462no—
1366C24—1462no—
1367C24—1462no—
1368C24—1462no—
1369C24—1462no—
1370C24—1462no—
1371C24—1462no—
1372C24C23×D7311yescharacteristic
1373C24C23×D7311yescharacteristic
1374C24C23×D7311yescharacteristic
1375C24C23×D7311yescharacteristic
1376C24C23×D7311yescharacteristic
1377#41—29216no—
1378#41—29216no—
1379C2×Q8—2921no—
1380C2×Q8—2921no—
1381C2×Q8—2921no—
1382C2×Q8—2921no—
1383C2×Q8—1462no—
1384C2×Q8—1462no—
1385C2×D4—22no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—41no—
1394C2×D4—41no—
1395C2×D4—41no—
1396C2×D4—41no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—41no—
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—2921no—
1416C2×D4—2921no—
1417C2×D4—2921no—
1418C2×D4—2921no—
1419C2×D4—2921no—
1420C2×D4—2921no—
1421C2×D4—29216no—
1422C2×D4—2921no—
1423C2×D4—2921no—
1424C2×D4—2921no—
1425C2×D4—2921no—
1426C2×D4—2921no—
1427C2×D4—2921no—
1428C2×D4—2921no—
1429C2×D4—2921no—
1430C2×D4—2921no—
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—1462no—
1451C2×D4—1462no—
1452C2×D4—1462no—
1453C2×D4—1462no—
1454C2×D4—1462no—
1455C2×D4—1462no—
1456C2×D4—1462no—
1457C2×D4—1462no—
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—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—22no—
1479C22×C4—41no—
1480C22×C4—41no—
1481C22×C4—41no—
1482C22×C4—2921no—
1483C22×C4—2921no—
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—734no—
1501C22×C4—734no—
1502C22×C4—731no—
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—1462no—
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×C4C23×D7311yescharacteristic
1529C22×C4C23×D7311yescharacteristic
1530C22×C4C23×D7311yescharacteristic
1531C22×C4C23×D7311yescharacteristic
1532C22×C4C23×D7311yescharacteristic
1533C22×C4C23×D7311yescharacteristic
1534C22×C4C23×D7311yescharacteristic
1535C22×C4C23×D7311yescharacteristic
1536C22×C4C23×D7311yescharacteristic
1537C22×C4C23×D7311yescharacteristic
1538C4⋊C4—22no—
1539C4⋊C4—41no—
1540C4⋊C4—2921no—
1541C4⋊C4—2921no—
1542C4⋊C4—2921no—
1543C4⋊C4—734no—
1544C4⋊C4—734no—
1545C4⋊C4—734no—
1546C4⋊C4—1462no—
1547C4⋊C4—1462no—
1548C4⋊C4—1462no—
1549C4⋊C4—1462no—
1550C4⋊C4—1462no—
1551C4⋊C4—1462no—
1552C4⋊C4—1462no—
1553C4⋊C4D4×D7314yes—
1554C22⋊C4—22no—
1555C22⋊C4—22no—
1556C22⋊C4—22no—
1557C22⋊C4—22no—
1558C22⋊C4—22no—
1559C22⋊C4—41no—
1560C22⋊C4—41no—
1561C22⋊C4—41no—
1562C22⋊C4—41no—
1563C22⋊C4—41no—
1564C22⋊C4—41no—
1565C22⋊C4—41no—
1566C22⋊C4—41no—
1567C22⋊C4—2921no—
1568C22⋊C4—2921no—
1569C22⋊C4—2921no—
1570C22⋊C4—2921no—
1571C22⋊C4—2921no—
1572C22⋊C4—2921no—
1573C22⋊C4—2921no—
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—1462no—
1592C22⋊C4—1462no—
1593C22⋊C4—1462no—
1594C22⋊C4—1462no—
1595C22⋊C4—1462no—
1596C22⋊C4—1462no—
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—
1610C42—41no—
1611C42—2921no—
1612C42—2921no—
1613C42—2921no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
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—2924no—
1649C23—2924no—
1650C23—2924no—
1651C23—2924no—
1652C23—2924no—
1653C23—2924no—
1654C23—2924no—
1655C23—2924no—
1656C23—2924no—
1657C23—5842no—
1658C23—5842no—
1659C23—5842no—
1660C23—5842no—
1661C23—732no—
1662C23—732no—
1663C23—732no—
1664C23—732no—
1665C23—1468no—
1666C23—1461no—
1667C23—1461no—
1668C23—1461no—
1669C23—1461no—
1670C23—1461no—
1671C23—1461no—
1672C23—1461no—
1673C23—1461no—
1674C23—1461no—
1675C23—1461no—
1676C23—1461no—
1677C23—1461no—
1678C23—1461no—
1679C23—1461no—
1680C23—1461no—
1681C23—1461no—
1682C23—1461no—
1683C23—1461no—
1684C23—1461no—
1685C23—1461no—
1686C23—1461no—
1687C23—1461no—
1688C23—1461no—
1689C23—1461no—
1690C23#1455663612yes—
1691C23C24×D7311yescharacteristic
1692Q8—2924no—
1693Q8—2924no—
1694D4—44no—
1695D4—44no—
1696D4—82no—
1697D4—82no—
1698D4—82no—
1699D4—82no—
1700D4—82no—
1701D4—82no—
1702D4—82no—
1703D4—82no—
1704D4—2924no—
1705D4—2924no—
1706D4—2924no—
1707D4—2924no—
1708D4—2924no—
1709D4—2924no—
1710D4—2924no—
1711D4—2924no—
1712D4—5842no—
1713D4—5842no—
1714D4—5842no—
1715D4—5842no—
1716D4—5842no—
1717D4—5842no—
1718D4—5842no—
1719D4—5842no—
1720D4—5842no—
1721D4—5842no—
1722D4—5842no—
1723D4—5842no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
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—44no—
1752C2×C4—44no—
1753C2×C4—2924no—
1754C2×C4—2924no—
1755C2×C4—2924no—
1756C2×C4—2924no—
1757C2×C4—2924no—
1758C2×C4—2924no—
1759C2×C4—2924no—
1760C2×C4—2924no—
1761C2×C4—2924no—
1762C2×C4—2924no—
1763C2×C4—732no—
1764C2×C4—732no—
1765C2×C4—732no—
1766C2×C4—1468no—
1767C2×C4—1461no—
1768C2×C4—1461no—
1769C2×C4—1461no—
1770C2×C4—1461no—
1771C2×C4—1461no—
1772C2×C4—1461no—
1773C2×C4—1461no—
1774C2×C4—1461no—
1775C2×C4—1461no—
1776C2×C4—1461no—
1777C2×C4—1461no—
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×C4C2×D4×D7312yes—
1801C2×C4C2×D4×D7312yes—
1802C2×C4C2×D4×D7312yes—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
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—29216no—
1839C22—2921no—
1840C22—2921no—
1841C22—2921no—
1842C22—2921no—
1843C22—2921no—
1844C22—2921no—
1845C22—2921no—
1846C22—2921no—
1847C22—2921no—
1848C22—2921no—
1849C22—2921no—
1850C22—2921no—
1851C22—2921no—
1852C22—2921no—
1853C22—2921no—
1854C22—2921no—
1855C22—2921no—
1856C22—2921no—
1857C22—5848no—
1858C22—734no—
1859C22—1462no—
1860C22—1462no—
1861C22—1462no—
1862C22—1462no—
1863C22—1462no—
1864C22—1462no—
1865C22—1462no—
1866C22—1462no—
1867C22—1462no—
1868C22C22×D4×D7311yescharacteristic
1869C22H(5,𝔽2)×D7311yescharacteristic
1870C22H(5,𝔽2)×D7311yescharacteristic
1871C22H(5,𝔽2)×D7311yescharacteristic
1872C22C2×#1455663611yescharacteristic
1873C22#1798942211yescharacteristic
1874C22#1798942311yescharacteristic
1875C4—22no—
1876C4—22no—
1877C4—22no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—41no—
1885C4—2921no—
1886C4—2921no—
1887C4—2921no—
1888C4—2921no—
1889C4—2921no—
1890C4—2921no—
1891C4—2921no—
1892C4—2921no—
1893C4—2921no—
1894C4—1462no—
1895C4—1462no—
1896C4—1462no—
1897C2—42no—
1898C2—81no—
1899C2—81no—
1900C2—81no—
1901C2—81no—
1902C2—2922no—
1903C2—5841no—
1904C2—5841no—
1905C2—1464no—
1906C2#535×D7311yescharacteristic
1907C2#2262355911yescharacteristic
1908C2#2262358411yescharacteristic
1909C2#2262411111yescharacteristic
1910C2#2262411211yescharacteristic
1911C2#2262411311yescharacteristic
1912C2#2262411411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2673C2
hypercenter#2673D73
hypocenterC73#36710
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2673

Complements

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

NH ≅ G/Ntype
1. C2×#17989166C2semidirect
2. C2×#123×D73C2semidirect
3. #22618212C2semidirect
4. #22618210C2semidirect
5. #22616487C2semidirect
6. #22616485C2semidirect
7. #22616484C2semidirect
8. #22616482C2semidirect
9. #22616480C2semidirect
10. #22616479C2semidirect
11. #22616478C2semidirect
12. #22616477C2semidirect
13. #22616203C2semidirect
14. #22616202C2semidirect
15. #22616196C2semidirect
16. #22616193C2semidirect
17. #22616192C2semidirect
18. #22616191C2semidirect
19. #22616190C2semidirect
20. #22615670C2semidirect
21. #22615664C2semidirect
22. #22615409C2semidirect
23. #22615405C2semidirect
24. #22613565C2semidirect
25. #22613563C2semidirect
26. #22613248C2semidirect
27. #22613248C2semidirect
28. #22613245C2semidirect
29. #22613245C2semidirect
30. #22612530C2semidirect
31. C73×#2673C2semidirect
48. C2×#14556571C22semidirect
49. C2×#14556570C22semidirect
50. C2×#14556568C22semidirect
51. C2×#14556568C22semidirect
54. C2×#14556564C22semidirect
55. C2×#14556563C22semidirect
56. C2×#14556563C22semidirect
57. C2×#14556563C22semidirect
60. C2×#14556562C22semidirect
61. C2×#14556562C22semidirect
75. #17988529C22semidirect
76. #17988528C22semidirect
77. #17988527C22semidirect
78. #17988526C22semidirect
79. #17988516C22semidirect
80. #17988515C22semidirect
81. #17988514C22semidirect
82. #17988512C22semidirect
83. #17988504C22semidirect
84. #17988503C22semidirect
85. #17988503C22semidirect
86. #17988503C22semidirect
87. #17988502C22semidirect
88. #17988502C22semidirect
89. #17988502C22semidirect
90. #17988501C22semidirect
91. #17988501C22semidirect
92. #17988501C22semidirect
93. #17988500C22semidirect
94. #17988500C22semidirect
95. #17988500C22semidirect
96. #17988500C22semidirect
97. #17988499C22semidirect
98. #17988499C22semidirect
99. #17988499C22semidirect
100. #17988499C22semidirect
103. #17988496C22semidirect
104. #17988496C22semidirect
105. #17988496C22semidirect
111. #17988495C22semidirect
112. #17988495C22semidirect
113. #17988495C22semidirect
114. #17988495C22semidirect
115. #17988495C22semidirect
116. #17988495C22semidirect
121. #17988481C22semidirect
122. #17988480C22semidirect
123. #17988480C22semidirect
124. #17988478C22semidirect
125. #17988477C22semidirect
126. #17988475C22semidirect
127. #17988475C22semidirect
128. #17988474C22semidirect
129. #17988473C22semidirect
130. #17988472C22semidirect
131. #17988471C22semidirect
132. #17988470C22semidirect
133. #17988469C22semidirect
134. #17988468C22semidirect
135. #17988467C22semidirect
136. #17988467C22semidirect
137. #17988467C22semidirect
138. #17988467C22semidirect
139. #17988467C22semidirect
140. #17988467C22semidirect
141. #17988466C22semidirect
142. #17988466C22semidirect
143. #17988466C22semidirect
146. #17988465C22semidirect
147. #17988465C22semidirect
148. #17988465C22semidirect
149. #17988464C22semidirect
150. #17988464C22semidirect
151. #17988464C22semidirect
152. #17988464C22semidirect
159. #17988463C22semidirect
160. #17988463C22semidirect
161. #17988463C22semidirect
162. #17988463C22semidirect
163. #17988463C22semidirect
166. #17988447C22semidirect
168. #17988446C22semidirect
169. #17988445C22semidirect
171. #17988444C22semidirect
176. C2×#121×C73C22semidirect
177. C2×#121×C73C22semidirect
178. #394×C73C22semidirect
179. #394×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
282. C4⋊C4×D73D4semidirect
976. #2673D73semidirect
988. C73#36710semidirect
1021. C2×#121C2×D73semidirect
1022. C2×#121C2×D73semidirect
1054. #394C2×D73semidirect
1055. #394C2×D73semidirect
1081. #392C2×D73semidirect
1082. #392C2×D73semidirect
1083. #392C2×D73semidirect
1095. #388C2×D73semidirect
1103. #387C2×D73semidirect
1133. #386C2×D73semidirect
1134. #386C2×D73semidirect
1135. #386C2×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179891662
C2×#123×D732
#226182122
#226182102
#226164872
#226164852
#226164842
#226164822
#226164802
#226164792
#226164782
#226164772
#226162032
#226162022
#226161962
#226161932
#226161922
#226161912
#226161902
#226156702
#226156642
#226154092
#226154052
#226135652
#226135632
#226132482
#226132452
#226125302
C73×#26732
#3671073