Finite Group Databasebeta

← #33292777

Subgroups — #33292777

Order 18688.

3038 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989176C211yesmaximal, characteristic, complemented
2C2×#121×D73C211yesmaximal, characteristic, complemented
3#22618217C211yesmaximal, characteristic, complemented
4#22618214C211yesmaximal, characteristic, complemented
5#22616414C211yesmaximal, characteristic, complemented
6#22616412C211yesmaximal, characteristic, complemented
7#22616406C211yesmaximal, characteristic, complemented
8#22616234C211yesmaximal, characteristic, complemented
9#22616233C211yesmaximal, characteristic, complemented
10#22616230C211yesmaximal, characteristic, complemented
11#22616229C211yesmaximal, characteristic, complemented
12#22616224C211yesmaximal, characteristic, complemented
13#22616222C211yesmaximal, characteristic, complemented
14#22616222C211yesmaximal, characteristic, complemented
15#22616221C211yesmaximal, characteristic, complemented
16#22616174C211yesmaximal, characteristic, complemented
17#22616168C211yesmaximal, characteristic, complemented
18#22616166C211yesmaximal, characteristic, complemented
19#22616160C211yesmaximal, characteristic, complemented
20#22615741C211yesmaximal, characteristic, complemented
21#22615666C211yesmaximal, characteristic, complemented
22#22615282C211yesmaximal, characteristic, complemented
23#22615279C211yesmaximal, characteristic, complemented
24#22613304C211yesmaximal, characteristic, complemented
25#22613304C211yesmaximal, characteristic, complemented
26#22613300C211yesmaximal, characteristic, complemented
27#22613300C211yesmaximal, characteristic, complemented
28#22613285C211yesmaximal, characteristic, complemented
29#22613282C211yesmaximal, characteristic, complemented
30#22612542C211yesmaximal, characteristic, complemented
31C73×#2691C211yesmaximal, characteristic, complemented
32C22×D4×D73C2211yescharacteristic
33C22×D4×D73C2211yescharacteristic
34C22×D4×D73C2211yescharacteristic
35C23×C4×D73C2211yescharacteristic
36#17989176—28no—
37C2×#14556586C2211yescharacteristic, complemented
38C2×#14556579C2211yescharacteristic, complemented
39C2×#14556577C2211yescharacteristic, complemented
40C2×#14556576C2211yescharacteristic, complemented
41C2×#14556573C2211yescharacteristic, complemented
42C2×#14556569C2211yescharacteristic
43C2×#14556569C2211yescharacteristic, complemented
44C2×#14556568C2211yescharacteristic, complemented
45C2×#14556566C2211yescharacteristic
46C2×#14556566C2211yescharacteristic
47C2×#14556566C2211yescharacteristic, complemented
48C2×#14556566C2211yescharacteristic, complemented
49C2×#14556566C2211yescharacteristic, complemented
50C2×#14556566C2211yescharacteristic, complemented
51C2×#14556566C2211yescharacteristic, complemented
52C2×#14556565C2211yescharacteristic
53C2×#14556565C2211yescharacteristic, complemented
54C2×#14556565C2211yescharacteristic, complemented
55C2×#14556565C2211yescharacteristic, complemented
56C2×#14556564C2211yescharacteristic
57C2×#14556564C2211yescharacteristic
58C2×#14556564C2211yescharacteristic, complemented
59C2×#14556564C2211yescharacteristic, complemented
60C2×#14556564C2211yescharacteristic, complemented
61C2×#14556564C2211yescharacteristic, complemented
62C2×#14556564C2211yescharacteristic, complemented
63C2×#14556563C2211yescharacteristic
64C2×#14556563C2211yescharacteristic
65C2×#14556563C2211yescharacteristic, complemented
66C2×#14556563C2211yescharacteristic, complemented
67C2×#14556562C2211yescharacteristic
68C2×#14556562C2211yescharacteristic, complemented
69#121×D73—28no—
70C2×#14556561C2211yescharacteristic
71C2×#14556561C2211yescharacteristic
72C2×#14556561C2211yescharacteristic
73C2×#14556561C2211yescharacteristic
74C2×#14556561C2211yescharacteristic
75C2×#14556561C2211yescharacteristic
76C2×C4×D292C2211yescharacteristic
77C2×#14556553C2211yescharacteristic
78C2×C4⋊C4×D73C2211yescharacteristic
79C22×#11924005C2211yescharacteristic
80C2×C22⋊C4×D73C2211yescharacteristic
81C2×C22⋊C4×D73C2211yescharacteristic
82C2×C22⋊C4×D73C2211yescharacteristic
83#17988523C2211yescharacteristic, complemented
84#17988522C2211yescharacteristic, complemented
85#17988521C2211yescharacteristic, complemented
86#17988520C2211yescharacteristic, complemented
87#17988519C2211yescharacteristic, complemented
88#17988513C2211yescharacteristic, complemented
89#17988511C2211yescharacteristic, complemented
90#17988510C2211yescharacteristic, complemented
91#17988509C2211yescharacteristic, complemented
92#17988509C2211yescharacteristic, complemented
93#17988509C2211yescharacteristic, complemented
94#17988509C2211yescharacteristic, complemented
95#17988509C2211yescharacteristic, complemented
96#17988505C2211yescharacteristic, complemented
97#17988505C2211yescharacteristic, complemented
98#17988505C2211yescharacteristic, complemented
99#17988505C2211yescharacteristic, complemented
100#17988504C2211yescharacteristic, complemented
101#17988503C2211yescharacteristic, complemented
102#17988503C2211yescharacteristic, complemented
103#17988503C2211yescharacteristic, complemented
104#17988503C2211yescharacteristic, complemented
105#17988502C2211yescharacteristic, complemented
106#17988502C2211yescharacteristic, complemented
107#17988502C2211yescharacteristic, complemented
108#17988502C2211yescharacteristic, complemented
109#17988500C2211yescharacteristic, complemented
110#17988499C2211yescharacteristic, complemented
111#17988497C2211yescharacteristic, complemented
112#17988497C2211yescharacteristic, complemented
113#17988497C2211yescharacteristic, complemented
114#17988497C2211yescharacteristic, complemented
115#17988496C2211yescharacteristic, complemented
116#17988496C2211yescharacteristic, complemented
117#17988496C2211yescharacteristic, complemented
118#17988496C2211yescharacteristic, complemented
119#17988496C2211yescharacteristic, complemented
120#17988496C2211yescharacteristic, complemented
121#17988496C2211yescharacteristic, complemented
122#17988495C2211yescharacteristic, complemented
123#17988495C2211yescharacteristic, complemented
124#17988495C2211yescharacteristic, complemented
125#17988489C2211yescharacteristic, complemented
126#17988487C2211yescharacteristic, complemented
127#17988487C2211yescharacteristic, complemented
128#17988474C2211yescharacteristic, complemented
129#17988471C2211yescharacteristic, complemented
130#17988470C2211yescharacteristic, complemented
131#17988465C2211yescharacteristic
132#17988465C2211yescharacteristic
133#17988465C2211yescharacteristic
134#17988465C2211yescharacteristic
135#17988465C2211yescharacteristic, complemented
136#17988465C2211yescharacteristic, complemented
137#17988465C2211yescharacteristic, complemented
138#17988465C2211yescharacteristic, complemented
139#17988464C2211yescharacteristic, complemented
140#17988464C2211yescharacteristic, complemented
141#17988464C2211yescharacteristic, complemented
142#17988464C2211yescharacteristic, complemented
143#17988463C2211yescharacteristic, complemented
144#17988463C2211yescharacteristic, complemented
145#17988462C2211yescharacteristic, complemented
146#17988461C2211yescharacteristic
147#17988461C2211yescharacteristic
148#17988461C2211yescharacteristic, complemented
149#17988461C2211yescharacteristic, complemented
150#17988461C2211yescharacteristic, complemented
151#17988461C2211yescharacteristic, complemented
152#17988461C2211yescharacteristic, complemented
153#17988460C2211yescharacteristic, complemented
154#17988460C2211yescharacteristic, complemented
155#17988459C2211yescharacteristic, complemented
156#17988458C2211yescharacteristic
157#17988458C2211yescharacteristic
158#17988458C2211yescharacteristic, complemented
159#17988458C2211yescharacteristic, complemented
160#17988458C2211yescharacteristic, complemented
161#17988458C2211yescharacteristic, complemented
162#17988458C2211yescharacteristic, complemented
163#17988446C2211yescharacteristic
164#17988446C2211yescharacteristic
165#17988446C2211yescharacteristic, complemented
166#17988445C2211yescharacteristic, complemented
167#17988444C2211yescharacteristic
168#17988444C2211yescharacteristic
169#17988444C2211yescharacteristic, complemented
170#17988442C2211yescharacteristic
171#17988442C2211yescharacteristic
172#17988442C2211yescharacteristic
173#17988442C2211yescharacteristic
174C2×#126×C73C2211yescharacteristic, complemented
175C2×#121×C73C2211yescharacteristic
176#398×C73C2211yescharacteristic, complemented
177#397×C73C2211yescharacteristic, complemented
178#396×C73C2211yescharacteristic, complemented
179#394×C73C2211yescharacteristic, complemented
180#394×C73C2211yescharacteristic, complemented
181#394×C73C2211yescharacteristic, complemented
182#390×C73C2211yescharacteristic, complemented
183#387×C73C2211yescharacteristic, complemented
184#386×C73C2211yescharacteristic, complemented
185#386×C73C2211yescharacteristic, complemented
186#385×C73C2211yescharacteristic, complemented
187#385×C73C2211yescharacteristic, complemented
188#380×C73C2211yescharacteristic, complemented
189C24×D73C2311yescharacteristic
190C24×D73C2311yescharacteristic
191C24×D73C2311yescharacteristic
192C22×Dic146C2311yescharacteristic
193C22×D292C2311yescharacteristic
194C22×D292C2311yescharacteristic
195C22×D292C2311yescharacteristic
196C22×D292C2311yescharacteristic
197C22×D292C2311yescharacteristic
198C22×D292C2311yescharacteristic
199C22×D292C2311yescharacteristic
200C22×D292C2311yescharacteristic
201C22×D292C2311yescharacteristic
202C22×D292C2311yescharacteristic
203C22×D292C2311yescharacteristic
204C22×D292C2311yescharacteristic
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
217C2×D4×D73—24no—
218C2×D4×D73—24no—
219C2×D4×D73—24no—
220C2×D4×D73—42no—
221C2×D4×D73—42no—
222C2×D4×D73—42no—
223C2×D4×D73—42no—
224C2×D4×D73—42no—
225C2×D4×D73—42no—
226C23×Dic73C2311yescharacteristic
227C23×Dic73C2311yescharacteristic
228C22×C4×D73—24no—
229C22×C4×D73—42no—
230C22×C4×D73—42no—
231C22×C4×D73C2311yescharacteristic
232C22×C4×D73C2311yescharacteristic
233C22×C4×D73C2311yescharacteristic
234C22×C4×D73C2311yescharacteristic
235C22×C4×D73C2311yescharacteristic
236C22×C4×D73C2311yescharacteristic
237C22×C4×D73C2311yescharacteristic
238C22×C4×D73C2311yescharacteristic
239C22×C4×D73C2311yescharacteristic
240C22×C4×D73C2311yescharacteristic
241#14556586—24no—
242#14556579—24no—
243#14556577—24no—
244#14556576—24no—
245#14556573—24no—
246#14556569—24no—
247#14556569—42no—
248#14556568—42no—
249#14556566—24no—
250#14556566—24no—
251#14556566—24no—
252#14556566—42no—
253#14556566—42no—
254#14556566—42no—
255#14556566—42no—
256#14556565—24no—
257#14556565—42no—
258#14556565—42no—
259#14556565—42no—
260#14556564—24no—
261#14556564—24no—
262#14556564—24no—
263#14556564—42no—
264#14556564—42no—
265#14556564—42no—
266#14556564—42no—
267#14556563—24no—
268#14556563—24no—
269#14556563—42no—
270#14556563—42no—
271#14556562—24no—
272#14556562—42no—
273#14556561—24no—
274#14556561—24no—
275#14556561—42no—
276#14556561—42no—
277#14556561—42no—
278#14556561—42no—
279C4×D292—24no—
280#14556553—24no—
281C2×C4⋊Dic73C2311yescharacteristic
282C2×C4⋊Dic73C2311yescharacteristic
283C2×C4⋊Dic73C2311yescharacteristic
284C2×C4⋊Dic73C2311yescharacteristic
285C2×C4⋊Dic73C2311yescharacteristic
286C2×C4⋊Dic73C2311yescharacteristic
287C2×#11924007C2311yescharacteristic
288C2×#11924007C2311yescharacteristic
289C2×#11924007C2311yescharacteristic
290C2×#11924007C2311yescharacteristic
291C2×#11924007C2311yescharacteristic
292C2×#11924007C2311yescharacteristic
293C2×#11924007C2311yescharacteristic
294C2×#11924007C2311yescharacteristic
295C2×#11924007C2311yescharacteristic
296C2×#11924007C2311yescharacteristic
297C2×#11924007C2311yescharacteristic
298C2×#11924007C2311yescharacteristic
299C4⋊C4×D73—24no—
300C2×C22⋊Dic73C2311yescharacteristic
301C2×C22⋊Dic73C2311yescharacteristic
302C2×C22⋊Dic73C2311yescharacteristic
303C2×C22⋊Dic73C2311yescharacteristic
304C2×C22⋊Dic73C2311yescharacteristic
305C2×C22⋊Dic73C2311yescharacteristic
306C2×C22⋊Dic73C2311yescharacteristic
307C2×#11924005—42no—
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
328C2×#11924005C2311yescharacteristic
329C2×#11924005C2311yescharacteristic
330C2×#11924005C2311yescharacteristic
331C2×#11924005C2311yescharacteristic
332C2×#11924005C2311yescharacteristic
333C2×#11924005C2311yescharacteristic
334C2×#11924005C2311yescharacteristic
335C2×#11924005C2311yescharacteristic
336C2×#11924005C2311yescharacteristic
337C2×#11924005C2311yescharacteristic
338C2×#11924005C2311yescharacteristic
339C2×#11924005C2311yescharacteristic
340C2×#11924005C2311yescharacteristic
341C2×#11924005C2311yescharacteristic
342C2×#11924005C2311yescharacteristic
343C2×#11924005C2311yescharacteristic
344C2×#11924005C2311yescharacteristic
345C2×#11924005C2311yescharacteristic
346C22⋊C4×D73—24no—
347C22⋊C4×D73—42no—
348C22⋊C4×D73D418yescomplemented
349C2×C4×Dic73C2311yescharacteristic
350#14556498C2311yescharacteristic
351#14556498C2311yescharacteristic
352#14556498C2311yescharacteristic
353#14556498C2311yescharacteristic
354#14556498C2311yescharacteristic
355#14556498C2311yescharacteristic
356#14556498C2311yescharacteristic
357#14556498C2311yescharacteristic
358#14556498C2311yescharacteristic
359#14556498C2311yescharacteristic
360#14556498C2311yescharacteristic
361#14556498C2311yescharacteristic
362#14556498C2311yescharacteristic
363#14556498C2311yescharacteristic
364#14556498C2311yescharacteristic
365#14556498C2311yescharacteristic
366C22×D4×C73C2311yescharacteristic
367C22×D4×C73C2311yescharacteristic
368C22×D4×C73C2311yescharacteristic
369C23×C4×C73C2311yescharacteristic
370C23×C4×C73C2311yescharacteristic
371#126×C73—24no—
372#121×C73—24no—
373C2×C4⋊C4×C73C2311yescharacteristic
374C2×C4⋊C4×C73C2311yescharacteristic
375C2×C4⋊C4×C73C2311yescharacteristic
376C2×C4⋊C4×C73C2311yescharacteristic
377C2×C4⋊C4×C73C2311yescharacteristic
378C2×C4⋊C4×C73C2311yescharacteristic
379C2×C4⋊C4×C73C2311yescharacteristic
380C2×C4⋊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×C22⋊C4×C73C2311yescharacteristic
391C2×C22⋊C4×C73C2311yescharacteristic
392C2×C22⋊C4×C73C2311yescharacteristic
393C2×C22⋊C4×C73C2311yescharacteristic
394C2×C42×C73C2311yescharacteristic
395#95×C73C2311yescharacteristic
396#95×C73C2311yescharacteristic
397#95×C73C2311yescharacteristic
398#95×C73C2311yescharacteristic
399#95×C73C2311yescharacteristic
400#95×C73C2311yescharacteristic
401#95×C73C2311yescharacteristic
402#95×C73C2311yescharacteristic
403C23×D73—22no—
404C23×D73—22no—
405C23×D73—22no—
406C23×D73—22no—
407C23×D73—22no—
408C23×D73—22no—
409C23×D73—22no—
410C23×D73—22no—
411C23×D73—22no—
412C23×D73—22no—
413C23×D73—41no—
414C23×D73—41no—
415C23×D73—41no—
416C23×D73—41no—
417C23×D73—41no—
418C23×D73—41no—
419C23×D73—41no—
420C23×D73—41no—
421C23×D73—41no—
422C23×D73—41no—
423C23×D73C2×D414yes—
424C23×D73C2411yescharacteristic
425C23×D73C2411yescharacteristic
426C23×D73C2411yescharacteristic
427C23×D73C2411yescharacteristic
428C23×D73C2411yescharacteristic
429C23×D73C2411yescharacteristic
430C2×Dic146—22no—
431C2×Dic146—41no—
432C2×Dic146—41no—
433C2×D292—22no—
434C2×D292—22no—
435C2×D292—22no—
436C2×D292—22no—
437C2×D292—22no—
438C2×D292—22no—
439C2×D292—22no—
440C2×D292—22no—
441C2×D292—22no—
442C2×D292—22no—
443C2×D292—22no—
444C2×D292—22no—
445C2×D292—22no—
446C2×D292—22no—
447C2×D292—22no—
448C2×D292—22no—
449C2×D292—22no—
450C2×D292—41no—
451C2×D292—41no—
452C2×D292—41no—
453C2×D292—41no—
454C2×D292—41no—
455C2×D292—41no—
456C2×D292—41no—
457C2×D292—41no—
458C2×D292—41no—
459C2×D292—41no—
460C2×D292—41no—
461C2×D292—41no—
462C2×D292—41no—
463C2×D292—41no—
464C2×D292—41no—
465C2×D292—41no—
466C2×D292—41no—
467C2×D292—41no—
468C2×D292—41no—
469C2×C22⋊D73—22no—
470C2×C22⋊D73—22no—
471C2×C22⋊D73—22no—
472C2×C22⋊D73—22no—
473C2×C22⋊D73—22no—
474C2×C22⋊D73—22no—
475C2×C22⋊D73—22no—
476C2×C22⋊D73—22no—
477C2×C22⋊D73—22no—
478C2×C22⋊D73—22no—
479C2×C22⋊D73—22no—
480C2×C22⋊D73—22no—
481C2×C22⋊D73—22no—
482C2×C22⋊D73—22no—
483C2×C22⋊D73—22no—
484C2×C22⋊D73—22no—
485C2×C22⋊D73—41no—
486C2×C22⋊D73—41no—
487C2×C22⋊D73—41no—
488C2×C22⋊D73—41no—
489C2×C22⋊D73—41no—
490C2×C22⋊D73—41no—
491C2×C22⋊D73—41no—
492C2×C22⋊D73—41no—
493C2×C22⋊D73—41no—
494C2×C22⋊D73—41no—
495C2×C22⋊D73—41no—
496C2×C22⋊D73—41no—
497C2×C22⋊D73—41no—
498C2×C22⋊D73—41no—
499C2×C22⋊D73—41no—
500C2×C22⋊D73—41no—
501C2×C22⋊D73—41no—
502C2×C22⋊D73—41no—
503C2×C22⋊D73—41no—
504C2×C22⋊D73—41no—
505D4×D73—416no—
506D4×D73—416no—
507D4×D73—416no—
508C22×Dic73—22no—
509C22×Dic73—22no—
510C22×Dic73—41no—
511C22×Dic73—41no—
512C22×Dic73—41no—
513C22×Dic73—41no—
514C22×Dic73C2411yescharacteristic
515C22×Dic73C2411yescharacteristic
516C22×Dic73C2411yescharacteristic
517C22×Dic73C2411yescharacteristic
518C22×Dic73C2411yescharacteristic
519C22×Dic73C2411yescharacteristic
520C22×Dic73C2411yescharacteristic
521C22×Dic73C2411yescharacteristic
522C22×Dic73C2411yescharacteristic
523C22×Dic73C2411yescharacteristic
524C2×C4×D73—22no—
525C2×C4×D73—22no—
526C2×C4×D73—22no—
527C2×C4×D73—22no—
528C2×C4×D73—22no—
529C2×C4×D73—22no—
530C2×C4×D73—22no—
531C2×C4×D73—22no—
532C2×C4×D73—22no—
533C2×C4×D73—22no—
534C2×C4×D73—416no—
535C2×C4×D73—41no—
536C2×C4×D73—41no—
537C2×C4×D73—41no—
538C2×C4×D73—41no—
539C2×C4×D73—41no—
540C2×C4×D73—41no—
541C2×C4×D73—41no—
542C2×C4×D73—41no—
543C2×C4×D73—41no—
544C2×C4×D73—41no—
545C2×C4×D73—41no—
546C2×C4×D73—41no—
547C2×C4×D73—41no—
548C2×C4×D73—41no—
549C2×C4×D73—41no—
550C2×C4×D73—41no—
551C2×C4×D73—41no—
552C2×C4×D73—41no—
553C2×C4×D73C2×D414yes—
554C2×C4×D73C2×D414yes—
555C4⋊Dic73—22no—
556C4⋊Dic73—22no—
557C4⋊Dic73—22no—
558C4⋊Dic73—41no—
559C4⋊Dic73—41no—
560C4⋊Dic73—41no—
561#11924007—22no—
562#11924007—22no—
563#11924007—22no—
564#11924007—22no—
565#11924007—22no—
566#11924007—22no—
567#11924007—41no—
568#11924007—41no—
569#11924007—41no—
570#11924007—41no—
571#11924007—41no—
572#11924007—41no—
573C22⋊Dic73—22no—
574C22⋊Dic73—22no—
575C22⋊Dic73—41no—
576C22⋊Dic73—41no—
577C22⋊Dic73—41no—
578C22⋊Dic73—41no—
579C22⋊Dic73C2×D414yes—
580#11924005—22no—
581#11924005—22no—
582#11924005—22no—
583#11924005—22no—
584#11924005—22no—
585#11924005—22no—
586#11924005—22no—
587#11924005—22no—
588#11924005—22no—
589#11924005—22no—
590#11924005—22no—
591#11924005—22no—
592#11924005—22no—
593#11924005—22no—
594#11924005—22no—
595#11924005—22no—
596#11924005—22no—
597#11924005—22no—
598#11924005—22no—
599#11924005—22no—
600#11924005—41no—
601#11924005—41no—
602#11924005—41no—
603#11924005—41no—
604#11924005—41no—
605#11924005—41no—
606#11924005—41no—
607#11924005—41no—
608#11924005—41no—
609#11924005—41no—
610#11924005—41no—
611#11924005—41no—
612#11924005—41no—
613#11924005—41no—
614#11924005—41no—
615#11924005—41no—
616#11924005C2×D414yes—
617#11924005C2×D414yes—
618C4×Dic73—22no—
619C24×C73C2411yescharacteristic
620C24×C73C2411yescharacteristic
621C24×C73C2411yescharacteristic
622C2×D4×C73—22no—
623C2×D4×C73—22no—
624C2×D4×C73—22no—
625C2×D4×C73—22no—
626C2×D4×C73—22no—
627C2×D4×C73—22no—
628C2×D4×C73—41no—
629C2×D4×C73—41no—
630C2×D4×C73—41no—
631C22×C4×C73—22no—
632C22×C4×C73—22no—
633C22×C4×C73—41no—
634C22×C4×C73—41no—
635C22×C4×C73—41no—
636C22×C4×C73—41no—
637C22×C4×C73C2411yescharacteristic
638C22×C4×C73C2411yescharacteristic
639C22×C4×C73C2411yescharacteristic
640C22×C4×C73C2411yescharacteristic
641C22×C4×C73C2411yescharacteristic
642C22×C4×C73C2411yescharacteristic
643C22×C4×C73C2411yescharacteristic
644C22×C4×C73C2411yescharacteristic
645C22×C4×C73C2411yescharacteristic
646C22×C4×C73C2411yescharacteristic
647C22×C4×C73C2411yescharacteristic
648C22×C4×C73C2411yescharacteristic
649C4⋊C4×C73—22no—
650C4⋊C4×C73—22no—
651C4⋊C4×C73—22no—
652C4⋊C4×C73—22no—
653C4⋊C4×C73—22no—
654C4⋊C4×C73—41no—
655C4⋊C4×C73—41no—
656C4⋊C4×C73—41no—
657C22⋊C4×C73—22no—
658C22⋊C4×C73—22no—
659C22⋊C4×C73—22no—
660C22⋊C4×C73—22no—
661C22⋊C4×C73—41no—
662C22⋊C4×C73—41no—
663C22⋊C4×C73—41no—
664C22⋊C4×C73—41no—
665C22⋊C4×C73—41no—
666C22⋊C4×C73—41no—
667C22⋊C4×C73—41no—
668C22⋊C4×C73—41no—
669C22⋊C4×C73C2×D414yes—
670C42×C73—22no—
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×C73C22×D412yes—
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—28no—
711C22×D73—21no—
712C22×D73—21no—
713C22×D73—21no—
714C22×D73—21no—
715C22×D73—21no—
716C22×D73—21no—
717C22×D73—21no—
718C22×D73—21no—
719C22×D73—21no—
720C22×D73—21no—
721C22×D73—21no—
722C22×D73—21no—
723C22×D73—21no—
724C22×D73—21no—
725C22×D73—21no—
726C22×D73—21no—
727C22×D73—21no—
728C22×D73—21no—
729C22×D73—21no—
730C22×D73—21no—
731C22×D73—21no—
732C22×D73—44no—
733C22×D73—44no—
734C22×D73—44no—
735C22×D73—44no—
736C22×D73—44no—
737C22×D73—44no—
738C22×D73—44no—
739C22×D73—44no—
740C22×D73—44no—
741C22×D73—44no—
742C22×D73—44no—
743C22×D73—82no—
744C22×D73—82no—
745C22×D73—82no—
746C22×D73—82no—
747C22×D73—82no—
748C22×D73—82no—
749C22×D73—82no—
750C22×D73—82no—
751C22×D73C22×D412yes—
752C22×D73C22×D412yes—
753C22×D73H(5,𝔽2)12yes—
754C22×D73H(5,𝔽2)12yes—
755C22×D732−1+412yes—
756D4×C73—44no—
757D4×C73—44no—
758D4×C73—44no—
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—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—21no—
786C2×C4×C73—21no—
787C2×C4×C73—21no—
788C2×C4×C73—21no—
789C2×C4×C73—21no—
790C2×C4×C73—21no—
791C2×C4×C73—21no—
792C2×C4×C73—44no—
793C2×C4×C73—82no—
794C2×C4×C73C22×D412yes—
795C2×C4×C73C22×D412yes—
796C2×C4×C73H(5,𝔽2)12yes—
797C22⋊D73—44no—
798C22⋊D73—44no—
799C22⋊D73—44no—
800C22⋊D73—44no—
801C22⋊D73—44no—
802C22⋊D73—44no—
803C22⋊D73—82no—
804C22⋊D73—82no—
805C22⋊D73—82no—
806C22⋊D73—82no—
807C22⋊D73—82no—
808C22⋊D73—82no—
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—21no—
834C2×Dic73—21no—
835C2×Dic73—21no—
836C2×Dic73—44no—
837C2×Dic73—82no—
838C2×Dic73C22×D412yes—
839C2×Dic73C22×D412yes—
840C2×Dic73H(5,𝔽2)12yes—
841D292—44no—
842D292—44no—
843D292—44no—
844D292—44no—
845D292—44no—
846D292—82no—
847D292—82no—
848D292—82no—
849D292—82no—
850D292—82no—
851D292—82no—
852D292—82no—
853C4×D73—28no—
854C4×D73—44no—
855C4×D73—44no—
856C4×D73—44no—
857C4×D73—44no—
858C4×D73—44no—
859C4×D73—82no—
860C4×D73—82no—
861C4×D73—82no—
862C4×D73—82no—
863Dic146—82no—
864C22×C73—22no—
865C22×C73—22no—
866C22×C73—22no—
867C22×C73—22no—
868C22×C73—22no—
869C22×C73—22no—
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×C73C23×D411yescharacteristic
886C22×C73C2×H(5,𝔽2)11yescharacteristic
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×C73C2×2−1+411yescharacteristic
892C2×D73—22no—
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—416no—
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—41no—
917C2×D73—41no—
918C2×D73—41no—
919C2×D73—41no—
920C2×D73—41no—
921C2×D73—41no—
922C2×D73—41no—
923C2×D73—41no—
924C2×D73—41no—
925C2×D73—41no—
926C2×D73—41no—
927C2×D73—41no—
928C2×D73—41no—
929C2×D73—41no—
930C2×D73—41no—
931C2×D73—41no—
932C2×D73—41no—
933C2×D73—41no—
934C2×D73—88no—
935C2×D73—88no—
936C2×D73#53714yes—
937C4×C73—22no—
938C4×C73—22no—
939C4×C73—22no—
940C4×C73—41no—
941C4×C73—41no—
942C4×C73—41no—
943C4×C73—41no—
944C4×C73—41no—
945C4×C73—41no—
946C4×C73—41no—
947C4×C73—41no—
948C4×C73—41no—
949Dic73—22no—
950Dic73—22no—
951Dic73—22no—
952Dic73—41no—
953Dic73—41no—
954Dic73—41no—
955Dic73—41no—
956Dic73—41no—
957Dic73—41no—
958Dic73—41no—
959#36706—731nomaximal, Sylow
960C2×C73—42no—
961C2×C73—42no—
962C2×C73—81no—
963C2×C73C2×#53711yescharacteristic
964C2×C73#348411yescharacteristic
965C2×C73#348411yescharacteristic
966C2×C73#353611yescharacteristic
967C2×C73#353611yescharacteristic
968C2×C73#353711yescharacteristic
969C2×C73#353711yescharacteristic
970D73—24no—
971D73—42no—
972D73—42no—
973D73—81no—
974D73—81no—
975D73—81no—
976C2×#538—731no—
977C22×#121—731no—
978#2848—731no—
979#2847—731no—
980#2691—731no—
981#2691—731no—
982#2691—731no—
983#2691D7311yescharacteristic, complemented
984#2676—731no—
985#2676—731no—
986#2676—731no—
987#2676—731no—
988#2675—731no—
989#2675—731no—
990#2675—731no—
991#2675—731no—
992#2671—731no—
993#2671—731no—
994#2671—731no—
995#2671—731no—
996#2626—731no—
997#2617—731no—
998#2579—731no—
999#2579—731no—
1000#2410—731no—
1001#2410—731no—
1002#2410—731no—
1003#2410—731no—
1004#2408—731no—
1005#2408—731no—
1006#2315—731no—
1007C73#3670611yescharacteristic, complemented, Sylow
1008C23×D4—731no—
1009C23×D4—731no—
1010C23×D4—731no—
1011C24×C4—731no—
1012#538—1468no—
1013C2×#126—731no—
1014C2×#126C2×D7311yescharacteristic, complemented
1015C2×#124—731no—
1016C2×#124—731no—
1017C2×#123—731no—
1018C2×#123—731no—
1019C2×C22⋊Q8—731no—
1020C2×C22⋊Q8—731no—
1021C2×C22⋊Q8—731no—
1022C2×#121—731no—
1023C2×#121—731no—
1024C2×#121—731no—
1025C2×#121—731no—
1026C2×#121—731no—
1027C2×#121—731no—
1028C2×#121—731no—
1029C2×#121—731no—
1030C2×#121—731no—
1031C2×#121—731no—
1032C2×#121—731no—
1033C2×#121—731no—
1034C2×#121—731no—
1035C2×#121—731no—
1036C2×#121—731no—
1037C2×#121—731no—
1038C2×#121—731no—
1039C2×#121—731no—
1040C2×#121—731no—
1041C2×#121—731no—
1042C2×#121—731no—
1043C2×#121—731no—
1044C2×#121—731no—
1045C2×#121—731no—
1046C2×#121—1468no—
1047C2×#121C2×D7311yescharacteristic
1048C2×#120—731no—
1049C2×#120—731no—
1050C2×#120—731no—
1051C2×#120—731no—
1052C2×#120—731no—
1053C2×#120—731no—
1054C2×C4×D4—731no—
1055C2×C4×D4—731no—
1056C22×C4⋊C4—731no—
1057C22×C22⋊C4—731no—
1058C22×C22⋊C4—731no—
1059C22×C22⋊C4—731no—
1060C22×C22⋊C4—731no—
1061#399—731no—
1062#399—731no—
1063#398—731no—
1064#398—731no—
1065#398—731no—
1066#398C2×D7311yescharacteristic, complemented
1067#397—731no—
1068#397C2×D7311yescharacteristic, complemented
1069#396—731no—
1070#396—731no—
1071#396—731no—
1072#396—731no—
1073#396—731no—
1074#396—731no—
1075#396—731no—
1076#396C2×D7311yescharacteristic, complemented
1077#394—731no—
1078#394—731no—
1079#394—731no—
1080#394—731no—
1081#394—731no—
1082#394—731no—
1083#394—731no—
1084#394—731no—
1085#394—731no—
1086#394—731no—
1087#394—731no—
1088#394—731no—
1089#394—731no—
1090#394C2×D7311yescharacteristic, complemented
1091#394C2×D7311yescharacteristic, complemented
1092#394C2×D7311yescharacteristic, complemented
1093#393—731no—
1094#393—731no—
1095#392—731no—
1096#392—731no—
1097#392—731no—
1098#392—731no—
1099#392—731no—
1100#392—731no—
1101#392—731no—
1102#392—731no—
1103#392—731no—
1104#392—731no—
1105#392—731no—
1106#392—731no—
1107#392—731no—
1108#392—731no—
1109#390—731no—
1110#390—731no—
1111#390—731no—
1112#390C2×D7311yescharacteristic, complemented
1113#387—731no—
1114#387—731no—
1115#387—731no—
1116#387C2×D7311yescharacteristic, complemented
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#386C2×D7311yescharacteristic, complemented
1132#386C2×D7311yescharacteristic, complemented
1133#385—731no—
1134#385—731no—
1135#385—731no—
1136#385—731no—
1137#385—731no—
1138#385—731no—
1139#385—731no—
1140#385—731no—
1141#385—731no—
1142#385—731no—
1143#385—731no—
1144#385—731no—
1145#385—731no—
1146#385—731no—
1147#385—731no—
1148#385—731no—
1149#385—731no—
1150#385—731no—
1151#385C2×D7311yescharacteristic, complemented
1152#385C2×D7311yescharacteristic, complemented
1153#380—731no—
1154#380—731no—
1155#380—731no—
1156#380—731no—
1157#380—731no—
1158#380—731no—
1159#380—731no—
1160#380C2×D7311yescharacteristic, complemented
1161#379—731no—
1162#379—731no—
1163#379—731no—
1164#379—731no—
1165C25—731no—
1166C25—731no—
1167C25—731no—
1168C22×Q8—731no—
1169C22×D4—2922no—
1170C22×D4—2922no—
1171C22×D4—2922no—
1172C22×D4—2922no—
1173C22×D4—2922no—
1174C22×D4—2922no—
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—731no—
1184C22×D4—731no—
1185C22×D4—731no—
1186C22×D4—731no—
1187C22×D4—731no—
1188C22×D4—731no—
1189C22×D4—731no—
1190C22×D4—731no—
1191C22×D4—731no—
1192C22×D4—731no—
1193C22×D4—731no—
1194C22×D4—731no—
1195C22×D4—731no—
1196C22×D4—731no—
1197C22×D4—731no—
1198C22×D4—731no—
1199C22×D4—1464no—
1200C22×D4—1464no—
1201C22×D4—1464no—
1202C22×D4C22×D7311yescharacteristic
1203C22×D4C22×D7311yescharacteristic
1204C22×D4C22×D7311yescharacteristic
1205C23×C4—2922no—
1206C23×C4—2922no—
1207C23×C4—731no—
1208C23×C4—731no—
1209C23×C4—731no—
1210C23×C4—731no—
1211C23×C4—731no—
1212C23×C4—731no—
1213C23×C4—731no—
1214C23×C4—731no—
1215C23×C4—731no—
1216C23×C4—731no—
1217C23×C4—731no—
1218C23×C4—731no—
1219C23×C4—1464no—
1220C23×C4C22×D7311yescharacteristic
1221C23×C4C22×D7311yescharacteristic
1222#126—24no—
1223#126—1464no—
1224#124—1464no—
1225#124—1464no—
1226#123—1464no—
1227#123—1464no—
1228C22⋊Q8—2922no—
1229C22⋊Q8—2922no—
1230C22⋊Q8—1464no—
1231#121—24no—
1232#121—2922no—
1233#121—2922no—
1234#121—2922no—
1235#121—2922no—
1236#121—2922no—
1237#121—2922no—
1238#121—2922no—
1239#121—2922no—
1240#121—2922no—
1241#121—2922no—
1242#121—2922no—
1243#121—2922no—
1244#121—2922no—
1245#121—2922no—
1246#121—1464no—
1247#121—1464no—
1248#121—1464no—
1249#121—1464no—
1250#121—1464no—
1251#121—1464no—
1252#121—1464no—
1253#121—1464no—
1254#121—1464no—
1255#121—1464no—
1256#120—2922no—
1257#120—2922no—
1258#120—2922no—
1259#120—2922no—
1260#120—1464no—
1261#120—1464no—
1262C4×D4—1464no—
1263C4×D4—1464no—
1264C2×C4⋊C4—731no—
1265C2×C4⋊C4—731no—
1266C2×C4⋊C4—731no—
1267C2×C4⋊C4—731no—
1268C2×C4⋊C4—731no—
1269C2×C4⋊C4—731no—
1270C2×C4⋊C4—731no—
1271C2×C4⋊C4—731no—
1272C2×C4⋊C4—731no—
1273C2×C4⋊C4—731no—
1274C2×C4⋊C4—731no—
1275C2×C4⋊C4—731no—
1276C2×C4⋊C4—731no—
1277C2×C4⋊C4—731no—
1278C2×C4⋊C4—731no—
1279C2×C4⋊C4—731no—
1280C2×C4⋊C4—731no—
1281C2×C4⋊C4—731no—
1282C2×C4⋊C4—1464no—
1283C2×C4⋊C4C22×D7311yescharacteristic
1284C2×C4⋊C4C22×D7311yescharacteristic
1285C2×C4⋊C4C22×D7311yescharacteristic
1286C2×C4⋊C4C22×D7311yescharacteristic
1287C2×C4⋊C4C22×D7311yescharacteristic
1288C2×C4⋊C4C22×D7311yescharacteristic
1289C2×C4⋊C4C22×D7311yescharacteristic
1290C2×C4⋊C4C22×D7311yescharacteristic
1291C2×C22⋊C4—2922no—
1292C2×C22⋊C4—2922no—
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—731no—
1312C2×C22⋊C4—731no—
1313C2×C22⋊C4—731no—
1314C2×C22⋊C4—731no—
1315C2×C22⋊C4—731no—
1316C2×C22⋊C4—738no—
1317C2×C22⋊C4—731no—
1318C2×C22⋊C4—731no—
1319C2×C22⋊C4—731no—
1320C2×C22⋊C4—731no—
1321C2×C22⋊C4—731no—
1322C2×C22⋊C4—731no—
1323C2×C22⋊C4—731no—
1324C2×C22⋊C4—731no—
1325C2×C22⋊C4—731no—
1326C2×C22⋊C4—731no—
1327C2×C22⋊C4—731no—
1328C2×C22⋊C4—731no—
1329C2×C22⋊C4—731no—
1330C2×C22⋊C4—731no—
1331C2×C22⋊C4—731no—
1332C2×C22⋊C4—731no—
1333C2×C22⋊C4—731no—
1334C2×C22⋊C4—731no—
1335C2×C22⋊C4—731no—
1336C2×C22⋊C4—731no—
1337C2×C22⋊C4—731no—
1338C2×C22⋊C4—731no—
1339C2×C22⋊C4—1464no—
1340C2×C22⋊C4C22×D7311yescharacteristic
1341C2×C22⋊C4C22×D7311yescharacteristic
1342C2×C22⋊C4C22×D7311yescharacteristic
1343C2×C22⋊C4C22×D7311yescharacteristic
1344C2×C22⋊C4C22×D7311yescharacteristic
1345C2×C22⋊C4C22×D7311yescharacteristic
1346C2×C22⋊C4C22×D7311yescharacteristic
1347C2×C22⋊C4C22×D7311yescharacteristic
1348C2×C22⋊C4C22×D7311yescharacteristic
1349C2×C22⋊C4C22×D7311yescharacteristic
1350C2×C22⋊C4C22×D7311yescharacteristic
1351C2×C22⋊C4C22×D7311yescharacteristic
1352C2×C22⋊C4C22×D7311yescharacteristic
1353C2×C42—731no—
1354C2×C42C22×D7311yescharacteristic
1355#95—731no—
1356#95—731no—
1357#95—731no—
1358#95—731no—
1359#95—731no—
1360#95—731no—
1361#95—731no—
1362#95—731no—
1363#95—731no—
1364#95—731no—
1365#95—731no—
1366#95—731no—
1367#95—731no—
1368#95—731no—
1369#95—731no—
1370#95—731no—
1371#95C22×D7311yescharacteristic
1372#95C22×D7311yescharacteristic
1373#95C22×D7311yescharacteristic
1374#95C22×D7311yescharacteristic
1375#95C22×D7311yescharacteristic
1376#95C22×D7311yescharacteristic
1377#95C22×D7311yescharacteristic
1378#95C22×D7311yescharacteristic
1379C24—2921no—
1380C24—2921no—
1381C24—2921no—
1382C24—2921no—
1383C24—2921no—
1384C24—2921no—
1385C24—2921no—
1386C24—2921no—
1387C24—2921no—
1388C24—2921no—
1389C24—734no—
1390C24—731no—
1391C24—731no—
1392C24—731no—
1393C24—731no—
1394C24—731no—
1395C24—731no—
1396C24—1462no—
1397C24—1462no—
1398C24—1462no—
1399C24—1462no—
1400C24—1462no—
1401C24—1462no—
1402C24—1462no—
1403C24—1462no—
1404C24—1462no—
1405C24—1462no—
1406C24C23×D7311yescharacteristic
1407C24C23×D7311yescharacteristic
1408C24C23×D7311yescharacteristic
1409C2×Q8—2921no—
1410C2×Q8—2921no—
1411C2×Q8—1462no—
1412C2×D4—22no—
1413C2×D4—22no—
1414C2×D4—22no—
1415C2×D4—22no—
1416C2×D4—22no—
1417C2×D4—22no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—41no—
1421C2×D4—2921no—
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—29216no—
1441C2×D4—29216no—
1442C2×D4—29216no—
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—2921no—
1456C2×D4—2921no—
1457C2×D4—2921no—
1458C2×D4—2921no—
1459C2×D4—2921no—
1460C2×D4—2921no—
1461C2×D4—2921no—
1462C2×D4—2921no—
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×D4—1462no—
1478C2×D4—1462no—
1479C2×D4—1462no—
1480C2×D4—1462no—
1481C2×D4—1462no—
1482C2×D4—1462no—
1483C2×D4—1462no—
1484C2×D4—1462no—
1485C2×D4—1462no—
1486C2×D4—1462no—
1487C2×D4—1462no—
1488C2×D4—1462no—
1489C2×D4—1462no—
1490C2×D4—1462no—
1491C2×D4—1462no—
1492C2×D4—1462no—
1493C2×D4—1462no—
1494C2×D4—1462no—
1495C2×D4—1462no—
1496C22×C4—22no—
1497C22×C4—22no—
1498C22×C4—41no—
1499C22×C4—41no—
1500C22×C4—41no—
1501C22×C4—41no—
1502C22×C4—2921no—
1503C22×C4—2921no—
1504C22×C4—2921no—
1505C22×C4—2921no—
1506C22×C4—2921no—
1507C22×C4—2921no—
1508C22×C4—2921no—
1509C22×C4—2921no—
1510C22×C4—2921no—
1511C22×C4—2921no—
1512C22×C4—2921no—
1513C22×C4—2921no—
1514C22×C4—2921no—
1515C22×C4—2921no—
1516C22×C4—2921no—
1517C22×C4—2921no—
1518C22×C4—2921no—
1519C22×C4—2921no—
1520C22×C4—29216no—
1521C22×C4—2921no—
1522C22×C4—2921no—
1523C22×C4—2921no—
1524C22×C4—2921no—
1525C22×C4—734no—
1526C22×C4—734no—
1527C22×C4—731no—
1528C22×C4—731no—
1529C22×C4—731no—
1530C22×C4—731no—
1531C22×C4—731no—
1532C22×C4—731no—
1533C22×C4—731no—
1534C22×C4—731no—
1535C22×C4—731no—
1536C22×C4—731no—
1537C22×C4—1462no—
1538C22×C4—1462no—
1539C22×C4—1462no—
1540C22×C4—1462no—
1541C22×C4—1462no—
1542C22×C4—1462no—
1543C22×C4—1462no—
1544C22×C4—1462no—
1545C22×C4—1462no—
1546C22×C4—1462no—
1547C22×C4—1462no—
1548C22×C4—1462no—
1549C22×C4C23×D7311yescharacteristic
1550C22×C4C23×D7311yescharacteristic
1551C22×C4C23×D7311yescharacteristic
1552C22×C4C23×D7311yescharacteristic
1553C22×C4C23×D7311yescharacteristic
1554C22×C4C23×D7311yescharacteristic
1555C22×C4C23×D7311yescharacteristic
1556C22×C4C23×D7311yescharacteristic
1557C22×C4C23×D7311yescharacteristic
1558C22×C4C23×D7311yescharacteristic
1559C22×C4C23×D7311yescharacteristic
1560C22×C4C23×D7311yescharacteristic
1561C4⋊C4—22no—
1562C4⋊C4—22no—
1563C4⋊C4—22no—
1564C4⋊C4—22no—
1565C4⋊C4—22no—
1566C4⋊C4—41no—
1567C4⋊C4—41no—
1568C4⋊C4—41no—
1569C4⋊C4—2921no—
1570C4⋊C4—2921no—
1571C4⋊C4—2921no—
1572C4⋊C4—2921no—
1573C4⋊C4—2921no—
1574C4⋊C4—2921no—
1575C4⋊C4—2921no—
1576C4⋊C4—2921no—
1577C4⋊C4—2921no—
1578C4⋊C4—1462no—
1579C4⋊C4—1462no—
1580C4⋊C4—1462no—
1581C4⋊C4—1462no—
1582C4⋊C4—1462no—
1583C4⋊C4—1462no—
1584C4⋊C4—1462no—
1585C4⋊C4—1462no—
1586C4⋊C4—1462no—
1587C22⋊C4—22no—
1588C22⋊C4—22no—
1589C22⋊C4—22no—
1590C22⋊C4—22no—
1591C22⋊C4—41no—
1592C22⋊C4—41no—
1593C22⋊C4—41no—
1594C22⋊C4—41no—
1595C22⋊C4—41no—
1596C22⋊C4—41no—
1597C22⋊C4—41no—
1598C22⋊C4—41no—
1599C22⋊C4—2921no—
1600C22⋊C4—2921no—
1601C22⋊C4—2921no—
1602C22⋊C4—2921no—
1603C22⋊C4—2921no—
1604C22⋊C4—2921no—
1605C22⋊C4—2921no—
1606C22⋊C4—2921no—
1607C22⋊C4—2921no—
1608C22⋊C4—2921no—
1609C22⋊C4—2921no—
1610C22⋊C4—2921no—
1611C22⋊C4—2921no—
1612C22⋊C4—2921no—
1613C22⋊C4—2921no—
1614C22⋊C4—2921no—
1615C22⋊C4—2921no—
1616C22⋊C4—2921no—
1617C22⋊C4—2921no—
1618C22⋊C4—2921no—
1619C22⋊C4—734no—
1620C22⋊C4—734no—
1621C22⋊C4—734no—
1622C22⋊C4—1462no—
1623C22⋊C4—1462no—
1624C22⋊C4—1462no—
1625C22⋊C4—1462no—
1626C22⋊C4—1462no—
1627C22⋊C4—1462no—
1628C22⋊C4—1462no—
1629C22⋊C4—1462no—
1630C22⋊C4—1462no—
1631C22⋊C4—1462no—
1632C22⋊C4—1462no—
1633C22⋊C4—1462no—
1634C22⋊C4—1462no—
1635C22⋊C4—1462no—
1636C22⋊C4—1462no—
1637C22⋊C4—1462no—
1638C22⋊C4—1462no—
1639C22⋊C4—1462no—
1640C22⋊C4—1462no—
1641C22⋊C4—1462no—
1642C22⋊C4—1462no—
1643C22⋊C4—1462no—
1644C22⋊C4D4×D7314yes—
1645C42—22no—
1646C42—1462no—
1647C23—21no—
1648C23—21no—
1649C23—21no—
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—2924no—
1667C23—2924no—
1668C23—2924no—
1669C23—2924no—
1670C23—2924no—
1671C23—2924no—
1672C23—2924no—
1673C23—2924no—
1674C23—2924no—
1675C23—2924no—
1676C23—2924no—
1677C23—5842no—
1678C23—5842no—
1679C23—5842no—
1680C23—5842no—
1681C23—5842no—
1682C23—5842no—
1683C23—5842no—
1684C23—5842no—
1685C23—732no—
1686C23—732no—
1687C23—732no—
1688C23—732no—
1689C23—732no—
1690C23—1468no—
1691C23—1468no—
1692C23—1461no—
1693C23—1461no—
1694C23—1461no—
1695C23—1461no—
1696C23—1461no—
1697C23—1461no—
1698C23—1461no—
1699C23—1461no—
1700C23—1461no—
1701C23—1461no—
1702C23—1461no—
1703C23—1461no—
1704C23—1461no—
1705C23—1461no—
1706C23—1461no—
1707C23—1461no—
1708C23—1461no—
1709C23—1461no—
1710C23—1461no—
1711C23—1461no—
1712C23—1461no—
1713C23—1461no—
1714C23—1461no—
1715C23—1461no—
1716C23—1461no—
1717C23—1461no—
1718C23—1461no—
1719C23—1461no—
1720C23—1461no—
1721C23—1461no—
1722C23—1461no—
1723C23—1461no—
1724C23—1461no—
1725C23—1461no—
1726C23—1461no—
1727C23—1461no—
1728C23—1461no—
1729C23C2×D4×D7312yes—
1730C23#1455663712yes—
1731C23C24×D7311yescharacteristic
1732Q8—5842no—
1733D4—44no—
1734D4—44no—
1735D4—44no—
1736D4—2924no—
1737D4—2924no—
1738D4—2924no—
1739D4—2924no—
1740D4—2924no—
1741D4—2924no—
1742D4—2924no—
1743D4—2924no—
1744D4—2924no—
1745D4—2924no—
1746D4—2924no—
1747D4—5842no—
1748D4—5842no—
1749D4—5842no—
1750D4—5842no—
1751D4—5842no—
1752D4—5842no—
1753D4—5842no—
1754D4—5842no—
1755D4—5842no—
1756D4—5842no—
1757D4—5842no—
1758D4—5842no—
1759D4—5842no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—44no—
1794C2×C4—82no—
1795C2×C4—2924no—
1796C2×C4—2924no—
1797C2×C4—2924no—
1798C2×C4—2924no—
1799C2×C4—2924no—
1800C2×C4—2924no—
1801C2×C4—5842no—
1802C2×C4—5842no—
1803C2×C4—5842no—
1804C2×C4—5842no—
1805C2×C4—5842no—
1806C2×C4—732no—
1807C2×C4—732no—
1808C2×C4—732no—
1809C2×C4—1468no—
1810C2×C4—1461no—
1811C2×C4—1461no—
1812C2×C4—1461no—
1813C2×C4—1461no—
1814C2×C4—1461no—
1815C2×C4—1461no—
1816C2×C4—1461no—
1817C2×C4—1461no—
1818C2×C4—1461no—
1819C2×C4—1461no—
1820C2×C4—1461no—
1821C2×C4—1461no—
1822C2×C4—1461no—
1823C2×C4—1461no—
1824C2×C4—1461no—
1825C2×C4—1461no—
1826C2×C4—1461no—
1827C2×C4—1461no—
1828C2×C4—1461no—
1829C2×C4—1461no—
1830C2×C4—1461no—
1831C2×C4—1461no—
1832C2×C4—1461no—
1833C2×C4—1461no—
1834C2×C4—1461no—
1835C2×C4—1461no—
1836C2×C4—1461no—
1837C2×C4C2×D4×D7312yes—
1838C2×C4C2×D4×D7312yes—
1839C2×C4#1455663712yes—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—29216no—
1862C22—2921no—
1863C22—2921no—
1864C22—2921no—
1865C22—2921no—
1866C22—2921no—
1867C22—2921no—
1868C22—2921no—
1869C22—2921no—
1870C22—2921no—
1871C22—2921no—
1872C22—2921no—
1873C22—2921no—
1874C22—2921no—
1875C22—2921no—
1876C22—2921no—
1877C22—2921no—
1878C22—2921no—
1879C22—2921no—
1880C22—2921no—
1881C22—2921no—
1882C22—2921no—
1883C22—2921no—
1884C22—2921no—
1885C22—2921no—
1886C22—2921no—
1887C22—2921no—
1888C22—2921no—
1889C22—2921no—
1890C22—2921no—
1891C22—5848no—
1892C22—5848no—
1893C22—734no—
1894C22—1462no—
1895C22—1462no—
1896C22—1462no—
1897C22—1462no—
1898C22—1462no—
1899C22—1462no—
1900C22—1462no—
1901C22—1462no—
1902C22—1462no—
1903C22—1462no—
1904C22—1462no—
1905C22—1462no—
1906C22C22×D4×D7311yescharacteristic
1907C22H(5,𝔽2)×D7311yescharacteristic
1908C22H(5,𝔽2)×D7311yescharacteristic
1909C22H(5,𝔽2)×D7311yescharacteristic
1910C22C2×#1455663711yescharacteristic
1911C22C2×#1455663711yescharacteristic
1912C222−1+4×D7311yescharacteristic
1913C4—22no—
1914C4—22no—
1915C4—22no—
1916C4—41no—
1917C4—41no—
1918C4—41no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—2921no—
1926C4—2921no—
1927C4—2921no—
1928C4—2921no—
1929C4—2921no—
1930C4—2921no—
1931C4—2921no—
1932C4—1462no—
1933C4—1462no—
1934C4—1462no—
1935C2—42no—
1936C2—42no—
1937C2—81no—
1938C2—2922no—
1939C2—2922no—
1940C2—5841no—
1941C2—5841no—
1942C2—5841no—
1943C2—1464no—
1944C2#537×D7311yescharacteristic
1945C2#2262356111yescharacteristic
1946C2#2262356111yescharacteristic
1947C2#2262415511yescharacteristic
1948C2#2262415611yescharacteristic
1949C2#2262416511yescharacteristic
1950C2#2262416711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2691C2
hypercenter#2691D73
hypocenterC73#36706
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2691

Complements

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

NH ≅ G/Ntype
1. C2×#17989176C2semidirect
2. C2×#121×D73C2semidirect
3. #22618217C2semidirect
4. #22618214C2semidirect
5. #22616414C2semidirect
6. #22616412C2semidirect
7. #22616406C2semidirect
8. #22616234C2semidirect
9. #22616233C2semidirect
10. #22616230C2semidirect
11. #22616229C2semidirect
12. #22616224C2semidirect
13. #22616222C2semidirect
14. #22616222C2semidirect
15. #22616221C2semidirect
16. #22616174C2semidirect
17. #22616168C2semidirect
18. #22616166C2semidirect
19. #22616160C2semidirect
20. #22615741C2semidirect
21. #22615666C2semidirect
22. #22615282C2semidirect
23. #22615279C2semidirect
24. #22613304C2semidirect
25. #22613304C2semidirect
26. #22613300C2semidirect
27. #22613300C2semidirect
28. #22613285C2semidirect
29. #22613282C2semidirect
30. #22612542C2semidirect
31. C73×#2691C2semidirect
37. C2×#14556586C22semidirect
38. C2×#14556579C22semidirect
39. C2×#14556577C22semidirect
40. C2×#14556576C22semidirect
41. C2×#14556573C22semidirect
43. C2×#14556569C22semidirect
44. C2×#14556568C22semidirect
47. C2×#14556566C22semidirect
48. C2×#14556566C22semidirect
49. C2×#14556566C22semidirect
50. C2×#14556566C22semidirect
51. C2×#14556566C22semidirect
53. C2×#14556565C22semidirect
54. C2×#14556565C22semidirect
55. C2×#14556565C22semidirect
58. C2×#14556564C22semidirect
59. C2×#14556564C22semidirect
60. C2×#14556564C22semidirect
61. C2×#14556564C22semidirect
62. C2×#14556564C22semidirect
65. C2×#14556563C22semidirect
66. C2×#14556563C22semidirect
68. C2×#14556562C22semidirect
83. #17988523C22semidirect
84. #17988522C22semidirect
85. #17988521C22semidirect
86. #17988520C22semidirect
87. #17988519C22semidirect
88. #17988513C22semidirect
89. #17988511C22semidirect
90. #17988510C22semidirect
91. #17988509C22semidirect
92. #17988509C22semidirect
93. #17988509C22semidirect
94. #17988509C22semidirect
95. #17988509C22semidirect
96. #17988505C22semidirect
97. #17988505C22semidirect
98. #17988505C22semidirect
99. #17988505C22semidirect
100. #17988504C22semidirect
101. #17988503C22semidirect
102. #17988503C22semidirect
103. #17988503C22semidirect
104. #17988503C22semidirect
105. #17988502C22semidirect
106. #17988502C22semidirect
107. #17988502C22semidirect
108. #17988502C22semidirect
109. #17988500C22semidirect
110. #17988499C22semidirect
111. #17988497C22semidirect
112. #17988497C22semidirect
113. #17988497C22semidirect
114. #17988497C22semidirect
115. #17988496C22semidirect
116. #17988496C22semidirect
117. #17988496C22semidirect
118. #17988496C22semidirect
119. #17988496C22semidirect
120. #17988496C22semidirect
121. #17988496C22semidirect
122. #17988495C22semidirect
123. #17988495C22semidirect
124. #17988495C22semidirect
125. #17988489C22semidirect
126. #17988487C22semidirect
127. #17988487C22semidirect
128. #17988474C22semidirect
129. #17988471C22semidirect
130. #17988470C22semidirect
135. #17988465C22semidirect
136. #17988465C22semidirect
137. #17988465C22semidirect
138. #17988465C22semidirect
139. #17988464C22semidirect
140. #17988464C22semidirect
141. #17988464C22semidirect
142. #17988464C22semidirect
143. #17988463C22semidirect
144. #17988463C22semidirect
145. #17988462C22semidirect
148. #17988461C22semidirect
149. #17988461C22semidirect
150. #17988461C22semidirect
151. #17988461C22semidirect
152. #17988461C22semidirect
153. #17988460C22semidirect
154. #17988460C22semidirect
155. #17988459C22semidirect
158. #17988458C22semidirect
159. #17988458C22semidirect
160. #17988458C22semidirect
161. #17988458C22semidirect
162. #17988458C22semidirect
165. #17988446C22semidirect
166. #17988445C22semidirect
169. #17988444C22semidirect
174. C2×#126×C73C22semidirect
176. #398×C73C22semidirect
177. #397×C73C22semidirect
178. #396×C73C22semidirect
179. #394×C73C22semidirect
180. #394×C73C22semidirect
181. #394×C73C22semidirect
182. #390×C73C22semidirect
183. #387×C73C22semidirect
184. #386×C73C22semidirect
185. #386×C73C22semidirect
186. #385×C73C22semidirect
187. #385×C73C22semidirect
188. #380×C73C22semidirect
348. C22⋊C4×D73D4semidirect
983. #2691D73semidirect
1007. C73#36706semidirect
1014. C2×#126C2×D73semidirect
1066. #398C2×D73semidirect
1068. #397C2×D73semidirect
1076. #396C2×D73semidirect
1090. #394C2×D73semidirect
1091. #394C2×D73semidirect
1092. #394C2×D73semidirect
1112. #390C2×D73semidirect
1116. #387C2×D73semidirect
1131. #386C2×D73semidirect
1132. #386C2×D73semidirect
1151. #385C2×D73semidirect
1152. #385C2×D73semidirect
1160. #380C2×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179891762
C2×#121×D732
#226182172
#226182142
#226164142
#226164122
#226164062
#226162342
#226162332
#226162302
#226162292
#226162242
#226162222
#226162212
#226161742
#226161682
#226161662
#226161602
#226157412
#226156662
#226152822
#226152792
#226133042
#226133002
#226132852
#226132822
#226125422
C73×#26912
#3670673