Finite Group Databasebeta

← #33292824

Subgroups — #33292824

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×#17989167C211yesmaximal, characteristic, complemented
2C2×#123×D73C211yesmaximal, characteristic, complemented
3#22618214C211yesmaximal, characteristic, complemented
4#22618212C211yesmaximal, characteristic, complemented
5#22616488C211yesmaximal, characteristic, complemented
6#22616486C211yesmaximal, characteristic, complemented
7#22616483C211yesmaximal, characteristic, complemented
8#22616481C211yesmaximal, characteristic, complemented
9#22616476C211yesmaximal, characteristic, complemented
10#22616475C211yesmaximal, characteristic, complemented
11#22616474C211yesmaximal, characteristic, complemented
12#22616204C211yesmaximal, characteristic, complemented
13#22616201C211yesmaximal, characteristic, complemented
14#22616200C211yesmaximal, characteristic, complemented
15#22616199C211yesmaximal, characteristic, complemented
16#22616198C211yesmaximal, characteristic, complemented
17#22616197C211yesmaximal, characteristic, complemented
18#22616195C211yesmaximal, characteristic, complemented
19#22616194C211yesmaximal, characteristic, complemented
20#22615670C211yesmaximal, characteristic, complemented
21#22615666C211yesmaximal, characteristic, complemented
22#22615409C211yesmaximal, characteristic, complemented
23#22615407C211yesmaximal, characteristic, complemented
24#22613567C211yesmaximal, characteristic, complemented
25#22613563C211yesmaximal, characteristic, complemented
26#22613251C211yesmaximal, characteristic, complemented
27#22613251C211yesmaximal, characteristic, complemented
28#22613248C211yesmaximal, characteristic, complemented
29#22613248C211yesmaximal, characteristic, complemented
30#22612530C211yesmaximal, characteristic, complemented
31C73×#2696C211yesmaximal, characteristic, complemented
32C22×#11924029C2211yescharacteristic
33C22×#11924028C2211yescharacteristic
34C22×D4×D73C2211yescharacteristic
35C23×C4×D73C2211yescharacteristic
36#17989167—28no—
37C2×#14556588C2211yescharacteristic
38C2×#14556587C2211yescharacteristic
39C2×#14556587C2211yescharacteristic
40C2×#14556587C2211yescharacteristic
41C2×#14556576C2211yescharacteristic
42C2×#14556576C2211yescharacteristic
43C2×#14556575C2211yescharacteristic
44C2×#14556574C2211yescharacteristic
45C2×#14556573C2211yescharacteristic
46C2×#14556573C2211yescharacteristic
47C2×#14556572C2211yescharacteristic
48#123×D73—28no—
49C2×#14556569C2211yescharacteristic, complemented
50C2×#14556569C2211yescharacteristic, complemented
51C2×#14556567C2211yescharacteristic, complemented
52C2×#14556566C2211yescharacteristic
53C2×#14556566C2211yescharacteristic
54C2×#14556566C2211yescharacteristic, complemented
55C2×#14556566C2211yescharacteristic, complemented
56C2×#14556565C2211yescharacteristic, complemented
57C2×#14556565C2211yescharacteristic, complemented
58C2×#14556564C2211yescharacteristic
59C2×#14556564C2211yescharacteristic
60C2×#14556564C2211yescharacteristic, complemented
61C2×#14556564C2211yescharacteristic, complemented
62C2×#14556564C2211yescharacteristic, complemented
63C2×#14556563C2211yescharacteristic, complemented
64C2×#14556561C2211yescharacteristic
65C2×#14556561C2211yescharacteristic
66C2×#14556561C2211yescharacteristic
67C2×#14556561C2211yescharacteristic
68C2×#14556561C2211yescharacteristic
69C2×#14556561C2211yescharacteristic
70C2×#14556559C2211yescharacteristic
71C2×#14556559C2211yescharacteristic
72C2×C4⋊C4×D73C2211yescharacteristic
73C2×C4⋊C4×D73C2211yescharacteristic
74C2×C22⋊C4×D73C2211yescharacteristic
75C2×C22⋊C4×D73C2211yescharacteristic
76C2×C22⋊C4×D73C2211yescharacteristic
77#17988529C2211yescharacteristic, complemented
78#17988528C2211yescharacteristic, complemented
79#17988525C2211yescharacteristic, complemented
80#17988516C2211yescharacteristic, complemented
81#17988515C2211yescharacteristic, complemented
82#17988513C2211yescharacteristic, complemented
83#17988505C2211yescharacteristic, complemented
84#17988505C2211yescharacteristic, complemented
85#17988505C2211yescharacteristic, complemented
86#17988504C2211yescharacteristic, complemented
87#17988504C2211yescharacteristic, complemented
88#17988503C2211yescharacteristic, complemented
89#17988503C2211yescharacteristic, complemented
90#17988503C2211yescharacteristic, complemented
91#17988502C2211yescharacteristic, complemented
92#17988502C2211yescharacteristic, complemented
93#17988502C2211yescharacteristic, complemented
94#17988500C2211yescharacteristic, complemented
95#17988500C2211yescharacteristic, complemented
96#17988499C2211yescharacteristic, complemented
97#17988499C2211yescharacteristic, complemented
98#17988498C2211yescharacteristic, complemented
99#17988498C2211yescharacteristic, complemented
100#17988497C2211yescharacteristic
101#17988497C2211yescharacteristic, complemented
102#17988497C2211yescharacteristic, complemented
103#17988497C2211yescharacteristic, complemented
104#17988496C2211yescharacteristic
105#17988496C2211yescharacteristic
106#17988496C2211yescharacteristic
107#17988496C2211yescharacteristic
108#17988496C2211yescharacteristic
109#17988496C2211yescharacteristic, complemented
110#17988496C2211yescharacteristic, complemented
111#17988496C2211yescharacteristic, complemented
112#17988496C2211yescharacteristic, complemented
113#17988496C2211yescharacteristic, complemented
114#17988496C2211yescharacteristic, complemented
115#17988495C2211yescharacteristic
116#17988495C2211yescharacteristic, complemented
117#17988495C2211yescharacteristic, complemented
118#17988495C2211yescharacteristic, complemented
119#17988488C2211yescharacteristic
120#17988487C2211yescharacteristic
121#17988487C2211yescharacteristic
122#17988481C2211yescharacteristic, complemented
123#17988479C2211yescharacteristic, complemented
124#17988479C2211yescharacteristic, complemented
125#17988478C2211yescharacteristic, complemented
126#17988477C2211yescharacteristic, complemented
127#17988476C2211yescharacteristic, complemented
128#17988476C2211yescharacteristic, complemented
129#17988474C2211yescharacteristic, complemented
130#17988473C2211yescharacteristic, complemented
131#17988472C2211yescharacteristic, complemented
132#17988471C2211yescharacteristic, complemented
133#17988470C2211yescharacteristic, complemented
134#17988469C2211yescharacteristic, complemented
135#17988468C2211yescharacteristic, complemented
136#17988466C2211yescharacteristic, complemented
137#17988466C2211yescharacteristic, complemented
138#17988466C2211yescharacteristic, complemented
139#17988465C2211yescharacteristic
140#17988465C2211yescharacteristic
141#17988465C2211yescharacteristic
142#17988465C2211yescharacteristic
143#17988465C2211yescharacteristic
144#17988465C2211yescharacteristic
145#17988465C2211yescharacteristic, complemented
146#17988465C2211yescharacteristic, complemented
147#17988465C2211yescharacteristic, complemented
148#17988465C2211yescharacteristic, complemented
149#17988465C2211yescharacteristic, complemented
150#17988465C2211yescharacteristic, complemented
151#17988465C2211yescharacteristic, complemented
152#17988465C2211yescharacteristic, complemented
153#17988465C2211yescharacteristic, complemented
154#17988464C2211yescharacteristic, complemented
155#17988464C2211yescharacteristic, complemented
156#17988463C2211yescharacteristic
157#17988463C2211yescharacteristic
158#17988463C2211yescharacteristic, complemented
159#17988463C2211yescharacteristic, complemented
160#17988463C2211yescharacteristic, complemented
161#17988463C2211yescharacteristic, complemented
162#17988463C2211yescharacteristic, complemented
163#17988463C2211yescharacteristic, complemented
164#17988463C2211yescharacteristic, complemented
165#17988449C2211yescharacteristic
166#17988449C2211yescharacteristic
167#17988446C2211yescharacteristic
168#17988446C2211yescharacteristic, complemented
169#17988445C2211yescharacteristic, complemented
170#17988444C2211yescharacteristic
171#17988444C2211yescharacteristic, complemented
172C4×#11924005C2211yescharacteristic
173#17988434C2211yescharacteristic
174C2×#123×C73C2211yescharacteristic
175C2×C22⋊Q8×C73C2211yescharacteristic, complemented
176#400×C73C2211yescharacteristic, complemented
177#397×C73C2211yescharacteristic, complemented
178#394×C73C2211yescharacteristic, complemented
179#393×C73C2211yescharacteristic, complemented
180#393×C73C2211yescharacteristic, complemented
181#392×C73C2211yescharacteristic
182#390×C73C2211yescharacteristic
183#388×C73C2211yescharacteristic, complemented
184#387×C73C2211yescharacteristic, complemented
185#386×C73C2211yescharacteristic, complemented
186#386×C73C2211yescharacteristic, complemented
187#386×C73C2211yescharacteristic, complemented
188#380×C73C2211yescharacteristic, complemented
189C24×D73C2311yescharacteristic
190C24×D73C2311yescharacteristic
191C2×#11924029—24no—
192C2×#11924029—42no—
193C2×#11924029—42no—
194C2×#11924028—24no—
195C2×#11924028—42no—
196C2×#11924028—42no—
197C22×Dic146C2311yescharacteristic
198C22×D292C2311yescharacteristic
199C22×D292C2311yescharacteristic
200C22×D292C2311yescharacteristic
201C22×D292C2311yescharacteristic
202C22×D292C2311yescharacteristic
203C22×D292C2311yescharacteristic
204C22×D292C2311yescharacteristic
205C22×D292C2311yescharacteristic
206C22×D292C2311yescharacteristic
207C22×D292C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C22×D292C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C22×C22⋊D73C2311yescharacteristic
212C22×C22⋊D73C2311yescharacteristic
213C22×C22⋊D73C2311yescharacteristic
214C22×C22⋊D73C2311yescharacteristic
215C22×C22⋊D73C2311yescharacteristic
216C22×C22⋊D73C2311yescharacteristic
217C22×C22⋊D73C2311yescharacteristic
218C22×C22⋊D73C2311yescharacteristic
219C22×C22⋊D73C2311yescharacteristic
220C22×C22⋊D73C2311yescharacteristic
221C22×C22⋊D73C2311yescharacteristic
222C22×C22⋊D73C2311yescharacteristic
223C22×C22⋊D73C2311yescharacteristic
224C22×C22⋊D73C2311yescharacteristic
225C2×D4×D73—24no—
226C2×D4×D73—42no—
227C2×D4×D73—42no—
228C23×Dic73C2311yescharacteristic
229C22×C4×D73—24no—
230C22×C4×D73—42no—
231C22×C4×D73—42no—
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
241C22×C4×D73C2311yescharacteristic
242#14556588—42no—
243#14556587—42no—
244#14556587—42no—
245#14556587—42no—
246#14556576—24no—
247#14556576—24no—
248#14556575—24no—
249#14556574—24no—
250#14556573—24no—
251#14556573—24no—
252#14556572—24no—
253#14556569—24no—
254#14556569—24no—
255#14556567—24no—
256#14556566—24no—
257#14556566—24no—
258#14556566—24no—
259#14556566—42no—
260#14556565—24no—
261#14556565—42no—
262#14556564—24no—
263#14556564—24no—
264#14556564—24no—
265#14556564—24no—
266#14556564—42no—
267#14556563—42no—
268#14556561—42no—
269#14556561—42no—
270#14556561—42no—
271#14556561—42no—
272#14556561—42no—
273#14556561—42no—
274#14556559—42no—
275#14556559—42no—
276C2×C4⋊Dic73C2311yescharacteristic
277C2×C4⋊Dic73C2311yescharacteristic
278C2×C4⋊Dic73C2311yescharacteristic
279C2×#11924007C2311yescharacteristic
280C2×#11924007C2311yescharacteristic
281C2×#11924007C2311yescharacteristic
282C2×#11924007C2311yescharacteristic
283C2×#11924007C2311yescharacteristic
284C2×#11924007C2311yescharacteristic
285C2×#11924007C2311yescharacteristic
286C2×#11924007C2311yescharacteristic
287C4⋊C4×D73—24no—
288C4⋊C4×D73D418yescomplemented
289C2×C22⋊Dic73C2311yescharacteristic
290C2×C22⋊Dic73C2311yescharacteristic
291C2×C22⋊Dic73C2311yescharacteristic
292C2×C22⋊Dic73C2311yescharacteristic
293C2×C22⋊Dic73C2311yescharacteristic
294C2×C22⋊Dic73C2311yescharacteristic
295C2×C22⋊Dic73C2311yescharacteristic
296C2×#11924005C2311yescharacteristic
297C2×#11924005C2311yescharacteristic
298C2×#11924005C2311yescharacteristic
299C2×#11924005C2311yescharacteristic
300C2×#11924005C2311yescharacteristic
301C2×#11924005C2311yescharacteristic
302C2×#11924005C2311yescharacteristic
303C2×#11924005C2311yescharacteristic
304C2×#11924005C2311yescharacteristic
305C2×#11924005C2311yescharacteristic
306C2×#11924005C2311yescharacteristic
307C2×#11924005C2311yescharacteristic
308C2×#11924005C2311yescharacteristic
309C2×#11924005C2311yescharacteristic
310C2×#11924005C2311yescharacteristic
311C2×#11924005C2311yescharacteristic
312C2×#11924005C2311yescharacteristic
313C2×#11924005C2311yescharacteristic
314C2×#11924005C2311yescharacteristic
315C2×#11924005C2311yescharacteristic
316C2×#11924005C2311yescharacteristic
317C2×#11924005C2311yescharacteristic
318C2×#11924005C2311yescharacteristic
319C2×#11924005C2311yescharacteristic
320C2×#11924005C2311yescharacteristic
321C2×#11924005C2311yescharacteristic
322C2×#11924005C2311yescharacteristic
323C2×#11924005C2311yescharacteristic
324C2×#11924005C2311yescharacteristic
325C2×#11924005C2311yescharacteristic
326C2×#11924005C2311yescharacteristic
327C2×#11924005C2311yescharacteristic
328C2×#11924005C2311yescharacteristic
329C2×#11924005C2311yescharacteristic
330C2×#11924005C2311yescharacteristic
331C2×#11924005C2311yescharacteristic
332C22⋊C4×D73—24no—
333C22⋊C4×D73—24no—
334C22⋊C4×D73—24no—
335C2×C4×Dic73C2311yescharacteristic
336C2×C4×Dic73C2311yescharacteristic
337C2×C4×Dic73C2311yescharacteristic
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
358#14556498C2311yescharacteristic
359#14556498C2311yescharacteristic
360C22×Q8×C73C2311yescharacteristic
361C22×D4×C73C2311yescharacteristic
362C22×D4×C73C2311yescharacteristic
363C22×D4×C73C2311yescharacteristic
364C23×C4×C73C2311yescharacteristic
365C23×C4×C73C2311yescharacteristic
366#123×C73—24no—
367C22⋊Q8×C73—24no—
368C2×C4⋊C4×C73C2311yescharacteristic
369C2×C4⋊C4×C73C2311yescharacteristic
370C2×C4⋊C4×C73C2311yescharacteristic
371C2×C4⋊C4×C73C2311yescharacteristic
372C2×C4⋊C4×C73C2311yescharacteristic
373C2×C22⋊C4×C73C2311yescharacteristic
374C2×C22⋊C4×C73C2311yescharacteristic
375C2×C22⋊C4×C73C2311yescharacteristic
376C2×C22⋊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×C42×C73C2311yescharacteristic
387#95×C73C2311yescharacteristic
388#95×C73C2311yescharacteristic
389#95×C73C2311yescharacteristic
390#95×C73C2311yescharacteristic
391#95×C73C2311yescharacteristic
392#95×C73C2311yescharacteristic
393#95×C73C2311yescharacteristic
394#95×C73C2311yescharacteristic
395#95×C73C2311yescharacteristic
396#95×C73C2311yescharacteristic
397C23×D73—22no—
398C23×D73—22no—
399C23×D73—22no—
400C23×D73—22no—
401C23×D73—22no—
402C23×D73—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
415C23×D73C2411yescharacteristic
416C23×D73C2411yescharacteristic
417#11924029—416no—
418#11924028—416no—
419C2×Dic146—22no—
420C2×Dic146—41no—
421C2×Dic146—41no—
422C2×D292—22no—
423C2×D292—22no—
424C2×D292—22no—
425C2×D292—22no—
426C2×D292—22no—
427C2×D292—22no—
428C2×D292—22no—
429C2×D292—22no—
430C2×D292—22no—
431C2×D292—22no—
432C2×D292—22no—
433C2×D292—22no—
434C2×D292—22no—
435C2×D292—22no—
436C2×D292—22no—
437C2×D292—22no—
438C2×D292—22no—
439C2×D292—41no—
440C2×D292—41no—
441C2×D292—41no—
442C2×D292—41no—
443C2×D292—41no—
444C2×D292—41no—
445C2×D292—41no—
446C2×D292—41no—
447C2×D292—41no—
448C2×D292—41no—
449C2×D292—41no—
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×C22⋊D73—22no—
462C2×C22⋊D73—22no—
463C2×C22⋊D73—22no—
464C2×C22⋊D73—22no—
465C2×C22⋊D73—22no—
466C2×C22⋊D73—22no—
467C2×C22⋊D73—22no—
468C2×C22⋊D73—22no—
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—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—
483C2×C22⋊D73—41no—
484C2×C22⋊D73—41no—
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—
503D4×D73—416no—
504C22×Dic73—22no—
505C22×Dic73—22no—
506C22×Dic73—41no—
507C22×Dic73C2411yescharacteristic
508C22×Dic73C2411yescharacteristic
509C22×Dic73C2411yescharacteristic
510C22×Dic73C2411yescharacteristic
511C22×Dic73C2411yescharacteristic
512C22×Dic73C2411yescharacteristic
513C22×Dic73C2411yescharacteristic
514C22×Dic73C2411yescharacteristic
515C22×Dic73C2411yescharacteristic
516C22×Dic73C2411yescharacteristic
517C2×C4×D73—22no—
518C2×C4×D73—22no—
519C2×C4×D73—22no—
520C2×C4×D73—22no—
521C2×C4×D73—22no—
522C2×C4×D73—22no—
523C2×C4×D73—22no—
524C2×C4×D73—22no—
525C2×C4×D73—22no—
526C2×C4×D73—22no—
527C2×C4×D73—22no—
528C2×C4×D73—41no—
529C2×C4×D73—41no—
530C2×C4×D73—41no—
531C2×C4×D73—41no—
532C2×C4×D73—41no—
533C2×C4×D73—41no—
534C2×C4×D73—41no—
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—416no—
545C2×C4×D73C2×D414yes—
546C2×C4×D73C2×D414yes—
547C2×C4×D73C2×D414yes—
548C4⋊Dic73—22no—
549C4⋊Dic73—41no—
550C4⋊Dic73C2×D414yes—
551#11924007—22no—
552#11924007—22no—
553#11924007—22no—
554#11924007—22no—
555#11924007—41no—
556#11924007—41no—
557#11924007C2×D414yes—
558#11924007C2×D414yes—
559C22⋊Dic73—22no—
560C22⋊Dic73—22no—
561C22⋊Dic73—22no—
562C22⋊Dic73—41no—
563C22⋊Dic73—41no—
564C22⋊Dic73—41no—
565C22⋊Dic73—41no—
566#11924005—22no—
567#11924005—22no—
568#11924005—22no—
569#11924005—22no—
570#11924005—22no—
571#11924005—22no—
572#11924005—22no—
573#11924005—22no—
574#11924005—22no—
575#11924005—22no—
576#11924005—22no—
577#11924005—22no—
578#11924005—22no—
579#11924005—22no—
580#11924005—22no—
581#11924005—22no—
582#11924005—41no—
583#11924005—41no—
584#11924005—41no—
585#11924005—41no—
586#11924005—41no—
587#11924005—41no—
588#11924005—41no—
589#11924005—41no—
590#11924005—41no—
591#11924005—41no—
592#11924005—41no—
593#11924005—41no—
594#11924005—41no—
595#11924005—41no—
596#11924005—41no—
597#11924005—41no—
598#11924005—41no—
599#11924005—41no—
600#11924005—41no—
601#11924005—41no—
602C4×Dic73—41no—
603C4×Dic73—41no—
604C4×Dic73—41no—
605C24×C73C2411yescharacteristic
606C24×C73C2411yescharacteristic
607C24×C73C2411yescharacteristic
608C2×Q8×C73—22no—
609C2×Q8×C73—41no—
610C2×Q8×C73—41no—
611C2×D4×C73—22no—
612C2×D4×C73—22no—
613C2×D4×C73—22no—
614C2×D4×C73—41no—
615C2×D4×C73—41no—
616C2×D4×C73—41no—
617C2×D4×C73—41no—
618C2×D4×C73—41no—
619C2×D4×C73—41no—
620C22×C4×C73—22no—
621C22×C4×C73—22no—
622C22×C4×C73—22no—
623C22×C4×C73—41no—
624C22×C4×C73—41no—
625C22×C4×C73—41no—
626C22×C4×C73C2411yescharacteristic
627C22×C4×C73C2411yescharacteristic
628C22×C4×C73C2411yescharacteristic
629C22×C4×C73C2411yescharacteristic
630C22×C4×C73C2411yescharacteristic
631C22×C4×C73C2411yescharacteristic
632C22×C4×C73C2411yescharacteristic
633C22×C4×C73C2411yescharacteristic
634C22×C4×C73C2411yescharacteristic
635C22×C4×C73C2411yescharacteristic
636C22×C4×C73C2411yescharacteristic
637C22×C4×C73C2411yescharacteristic
638C4⋊C4×C73—22no—
639C4⋊C4×C73—22no—
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×C73H(5,𝔽2)12yes—
678C23×C73C2511yescharacteristic
679C22×D73—21no—
680C22×D73—21no—
681C22×D73—21no—
682C22×D73—21no—
683C22×D73—28no—
684C22×D73—21no—
685C22×D73—21no—
686C22×D73—21no—
687C22×D73—21no—
688C22×D73—21no—
689C22×D73—21no—
690C22×D73—21no—
691C22×D73—21no—
692C22×D73—21no—
693C22×D73—21no—
694C22×D73—21no—
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—21no—
699C22×D73—21no—
700C22×D73—21no—
701C22×D73—21no—
702C22×D73—21no—
703C22×D73—21no—
704C22×D73—21no—
705C22×D73—21no—
706C22×D73—21no—
707C22×D73—21no—
708C22×D73—21no—
709C22×D73—21no—
710C22×D73—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—
735Q8×C73—44no—
736D4×C73—44no—
737D4×C73—82no—
738D4×C73—82no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—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—82no—
782C22⋊D73—82no—
783C22⋊D73—82no—
784C22⋊D73—82no—
785C22⋊D73—82no—
786C22⋊D73—82no—
787C22⋊D73—82no—
788C22⋊D73—82no—
789C22⋊D73—82no—
790C22⋊D73—82no—
791C2×Dic73—21no—
792C2×Dic73—21no—
793C2×Dic73—21no—
794C2×Dic73—21no—
795C2×Dic73—21no—
796C2×Dic73—21no—
797C2×Dic73—21no—
798C2×Dic73—21no—
799C2×Dic73—21no—
800C2×Dic73—21no—
801C2×Dic73—21no—
802C2×Dic73—21no—
803C2×Dic73—21no—
804C2×Dic73—21no—
805C2×Dic73—21no—
806C2×Dic73—21no—
807C2×Dic73—21no—
808C2×Dic73—21no—
809C2×Dic73—21no—
810C2×Dic73—21no—
811C2×Dic73—21no—
812C2×Dic73—21no—
813C2×Dic73—21no—
814C2×Dic73—21no—
815C2×Dic73—21no—
816C2×Dic73—21no—
817C2×Dic73—21no—
818C2×Dic73—44no—
819C2×Dic73C22×D412yes—
820C2×Dic73C22×D412yes—
821C2×Dic73C22×D412yes—
822D292—44no—
823D292—44no—
824D292—44no—
825D292—44no—
826D292—44no—
827D292—82no—
828D292—82no—
829D292—82no—
830D292—82no—
831D292—82no—
832D292—82no—
833D292—82no—
834D292—82no—
835C4×D73—28no—
836C4×D73—44no—
837C4×D73—44no—
838C4×D73—44no—
839C4×D73—44no—
840C4×D73—44no—
841C4×D73—44no—
842C4×D73—44no—
843C4×D73—44no—
844C4×D73—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×C73C23×D411yescharacteristic
868C22×C73C2×H(5,𝔽2)11yescharacteristic
869C22×C73C2×H(5,𝔽2)11yescharacteristic
870C22×C73C2×H(5,𝔽2)11yescharacteristic
871C22×C73C2×H(5,𝔽2)11yescharacteristic
872C22×C73#58511yescharacteristic
873C22×C73#58511yescharacteristic
874C2×D73—22no—
875C2×D73—22no—
876C2×D73—22no—
877C2×D73—22no—
878C2×D73—22no—
879C2×D73—22no—
880C2×D73—22no—
881C2×D73—22no—
882C2×D73—22no—
883C2×D73—416no—
884C2×D73—41no—
885C2×D73—41no—
886C2×D73—41no—
887C2×D73—41no—
888C2×D73—41no—
889C2×D73—41no—
890C2×D73—41no—
891C2×D73—41no—
892C2×D73—41no—
893C2×D73—41no—
894C2×D73—41no—
895C2×D73—41no—
896C2×D73—41no—
897C2×D73—41no—
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—
928C4×C73—41no—
929C4×C73—41no—
930Dic73—22no—
931Dic73—22no—
932Dic73—22no—
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×C73C2×#53511yescharacteristic
945C2×C73#348411yescharacteristic
946C2×C73#348711yescharacteristic
947C2×C73#353411yescharacteristic
948C2×C73#353411yescharacteristic
949C2×C73#353411yescharacteristic
950C2×C73#353411yescharacteristic
951D73—24no—
952D73—42no—
953D73—81no—
954D73—81no—
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#2696D7311yescharacteristic, complemented
969#2673—731no—
970#2673—731no—
971#2673—731no—
972#2673—731no—
973#2673—731no—
974#2673—731no—
975#2673—731no—
976#2673—731no—
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×#127—731no—
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⋊Q8C2×D7311yescharacteristic, complemented
1011C2×#121—731no—
1012C2×#121—731no—
1013C2×#121—731no—
1014C2×#121—731no—
1015C2×#121—731no—
1016C2×#121—731no—
1017C2×#121—731no—
1018C2×#121—731no—
1019C2×#121—731no—
1020C2×#121—731no—
1021C2×#121—731no—
1022C2×#121—731no—
1023C2×#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#400C2×D7311yescharacteristic, complemented
1040#397—731no—
1041#397—731no—
1042#397—731no—
1043#397C2×D7311yescharacteristic, complemented
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#394—731no—
1055#394C2×D7311yescharacteristic, complemented
1056#393—731no—
1057#393—731no—
1058#393—731no—
1059#393—731no—
1060#393—731no—
1061#393—731no—
1062#393C2×D7311yescharacteristic, complemented
1063#393C2×D7311yescharacteristic, complemented
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#392—731no—
1081#392—731no—
1082#392—731no—
1083#392C2×D7311yescharacteristic
1084#390—731no—
1085#390—731no—
1086#390—731no—
1087#390C2×D7311yescharacteristic
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#380C2×D7311yescharacteristic, complemented
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×Q8C22×D7311yescharacteristic
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—731no—
1179C22×D4—731no—
1180C22×D4—731no—
1181C22×D4—731no—
1182C22×D4—731no—
1183C22×D4—731no—
1184C22×D4—731no—
1185C22×D4—1464no—
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—2922no—
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—24no—
1218C22⋊Q8—1464no—
1219C22⋊Q8—1464no—
1220C22⋊Q8—1464no—
1221#121—2922no—
1222#121—2922no—
1223#121—2922no—
1224#121—2922no—
1225#121—1464no—
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—1464no—
1254C2×C4⋊C4C22×D7311yescharacteristic
1255C2×C4⋊C4C22×D7311yescharacteristic
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#95C22×D7311yescharacteristic
1345#95C22×D7311yescharacteristic
1346#95C22×D7311yescharacteristic
1347#95C22×D7311yescharacteristic
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—731no—
1365C24—731no—
1366C24—1462no—
1367C24—1462no—
1368C24—1462no—
1369C24—1462no—
1370C24—1462no—
1371C24—1462no—
1372C24—1462no—
1373C24—1462no—
1374C24C23×D7311yescharacteristic
1375C24C23×D7311yescharacteristic
1376C24C23×D7311yescharacteristic
1377#41—29216no—
1378#41—29216no—
1379C2×Q8—22no—
1380C2×Q8—41no—
1381C2×Q8—41no—
1382C2×Q8—2921no—
1383C2×Q8—2921no—
1384C2×Q8—1462no—
1385C2×D4—22no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—41no—
1389C2×D4—41no—
1390C2×D4—41no—
1391C2×D4—41no—
1392C2×D4—41no—
1393C2×D4—41no—
1394C2×D4—2921no—
1395C2×D4—2921no—
1396C2×D4—2921no—
1397C2×D4—2921no—
1398C2×D4—2921no—
1399C2×D4—2921no—
1400C2×D4—2921no—
1401C2×D4—2921no—
1402C2×D4—2921no—
1403C2×D4—2921no—
1404C2×D4—2921no—
1405C2×D4—2921no—
1406C2×D4—2921no—
1407C2×D4—2921no—
1408C2×D4—2921no—
1409C2×D4—2921no—
1410C2×D4—2921no—
1411C2×D4—2921no—
1412C2×D4—2921no—
1413C2×D4—2921no—
1414C2×D4—2921no—
1415C2×D4—2921no—
1416C2×D4—29216no—
1417C2×D4—2921no—
1418C2×D4—2921no—
1419C2×D4—2921no—
1420C2×D4—2921no—
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—2921no—
1441C2×D4—2921no—
1442C2×D4—2921no—
1443C2×D4—2921no—
1444C2×D4—2921no—
1445C2×D4—1462no—
1446C2×D4—1462no—
1447C2×D4—1462no—
1448C2×D4—1462no—
1449C2×D4—1462no—
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—2921no—
1495C22×C4—2921no—
1496C22×C4—2921no—
1497C22×C4—2921no—
1498C22×C4—29216no—
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—1462no—
1514C22×C4—1462no—
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×C4C23×D7311yescharacteristic
1527C22×C4C23×D7311yescharacteristic
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—22no—
1540C4⋊C4—22no—
1541C4⋊C4—41no—
1542C4⋊C4—2921no—
1543C4⋊C4—2921no—
1544C4⋊C4—2921no—
1545C4⋊C4—734no—
1546C4⋊C4—734no—
1547C4⋊C4—734no—
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—2924no—
1635C23—2924no—
1636C23—2924no—
1637C23—2924no—
1638C23—2924no—
1639C23—2924no—
1640C23—2924no—
1641C23—2924no—
1642C23—2924no—
1643C23—5842no—
1644C23—5842no—
1645C23—5842no—
1646C23—5842no—
1647C23—732no—
1648C23—732no—
1649C23—732no—
1650C23—732no—
1651C23—1468no—
1652C23—1461no—
1653C23—1461no—
1654C23—1461no—
1655C23—1461no—
1656C23—1461no—
1657C23—1461no—
1658C23—1461no—
1659C23—1461no—
1660C23—1461no—
1661C23—1461no—
1662C23—1461no—
1663C23—1461no—
1664C23—1461no—
1665C23—1461no—
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#1455663712yes—
1691C23C24×D7311yescharacteristic
1692Q8—44no—
1693Q8—2924no—
1694D4—44no—
1695D4—82no—
1696D4—82no—
1697D4—2924no—
1698D4—2924no—
1699D4—2924no—
1700D4—2924no—
1701D4—2924no—
1702D4—2924no—
1703D4—2924no—
1704D4—2924no—
1705D4—2924no—
1706D4—5842no—
1707D4—5842no—
1708D4—5842no—
1709D4—5842no—
1710D4—5842no—
1711D4—5842no—
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—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—44no—
1758C2×C4—44no—
1759C2×C4—2924no—
1760C2×C4—2924no—
1761C2×C4—2924no—
1762C2×C4—2924no—
1763C2×C4—2924no—
1764C2×C4—2924no—
1765C2×C4—2924no—
1766C2×C4—2924no—
1767C2×C4—2924no—
1768C2×C4—2924no—
1769C2×C4—732no—
1770C2×C4—732no—
1771C2×C4—732no—
1772C2×C4—1468no—
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—29216no—
1825C22—2921no—
1826C22—2921no—
1827C22—2921no—
1828C22—2921no—
1829C22—2921no—
1830C22—2921no—
1831C22—2921no—
1832C22—2921no—
1833C22—2921no—
1834C22—2921no—
1835C22—2921no—
1836C22—2921no—
1837C22—2921no—
1838C22—2921no—
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×#1455663711yescharacteristic
1873C22#1798942311yescharacteristic
1874C22#1798942411yescharacteristic
1875C4—22no—
1876C4—22no—
1877C4—22no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—41no—
1885C4—41no—
1886C4—41no—
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—2922no—
1901C2—5841no—
1902C2—5841no—
1903C2—5841no—
1904C2—5841no—
1905C2—1464no—
1906C2#535×D7311yescharacteristic
1907C2#2262356111yescharacteristic
1908C2#2262358811yescharacteristic
1909C2#2262411911yescharacteristic
1910C2#2262412011yescharacteristic
1911C2#2262412311yescharacteristic
1912C2#2262412411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2696C2
hypercenter#2696D73
hypocenterC73#36710
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2696

Complements

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

NH ≅ G/Ntype
1. C2×#17989167C2semidirect
2. C2×#123×D73C2semidirect
3. #22618214C2semidirect
4. #22618212C2semidirect
5. #22616488C2semidirect
6. #22616486C2semidirect
7. #22616483C2semidirect
8. #22616481C2semidirect
9. #22616476C2semidirect
10. #22616475C2semidirect
11. #22616474C2semidirect
12. #22616204C2semidirect
13. #22616201C2semidirect
14. #22616200C2semidirect
15. #22616199C2semidirect
16. #22616198C2semidirect
17. #22616197C2semidirect
18. #22616195C2semidirect
19. #22616194C2semidirect
20. #22615670C2semidirect
21. #22615666C2semidirect
22. #22615409C2semidirect
23. #22615407C2semidirect
24. #22613567C2semidirect
25. #22613563C2semidirect
26. #22613251C2semidirect
27. #22613251C2semidirect
28. #22613248C2semidirect
29. #22613248C2semidirect
30. #22612530C2semidirect
31. C73×#2696C2semidirect
49. C2×#14556569C22semidirect
50. C2×#14556569C22semidirect
51. C2×#14556567C22semidirect
54. C2×#14556566C22semidirect
55. C2×#14556566C22semidirect
56. C2×#14556565C22semidirect
57. C2×#14556565C22semidirect
60. C2×#14556564C22semidirect
61. C2×#14556564C22semidirect
62. C2×#14556564C22semidirect
63. C2×#14556563C22semidirect
77. #17988529C22semidirect
78. #17988528C22semidirect
79. #17988525C22semidirect
80. #17988516C22semidirect
81. #17988515C22semidirect
82. #17988513C22semidirect
83. #17988505C22semidirect
84. #17988505C22semidirect
85. #17988505C22semidirect
86. #17988504C22semidirect
87. #17988504C22semidirect
88. #17988503C22semidirect
89. #17988503C22semidirect
90. #17988503C22semidirect
91. #17988502C22semidirect
92. #17988502C22semidirect
93. #17988502C22semidirect
94. #17988500C22semidirect
95. #17988500C22semidirect
96. #17988499C22semidirect
97. #17988499C22semidirect
98. #17988498C22semidirect
99. #17988498C22semidirect
101. #17988497C22semidirect
102. #17988497C22semidirect
103. #17988497C22semidirect
109. #17988496C22semidirect
110. #17988496C22semidirect
111. #17988496C22semidirect
112. #17988496C22semidirect
113. #17988496C22semidirect
114. #17988496C22semidirect
116. #17988495C22semidirect
117. #17988495C22semidirect
118. #17988495C22semidirect
122. #17988481C22semidirect
123. #17988479C22semidirect
124. #17988479C22semidirect
125. #17988478C22semidirect
126. #17988477C22semidirect
127. #17988476C22semidirect
128. #17988476C22semidirect
129. #17988474C22semidirect
130. #17988473C22semidirect
131. #17988472C22semidirect
132. #17988471C22semidirect
133. #17988470C22semidirect
134. #17988469C22semidirect
135. #17988468C22semidirect
136. #17988466C22semidirect
137. #17988466C22semidirect
138. #17988466C22semidirect
145. #17988465C22semidirect
146. #17988465C22semidirect
147. #17988465C22semidirect
148. #17988465C22semidirect
149. #17988465C22semidirect
150. #17988465C22semidirect
151. #17988465C22semidirect
152. #17988465C22semidirect
153. #17988465C22semidirect
154. #17988464C22semidirect
155. #17988464C22semidirect
158. #17988463C22semidirect
159. #17988463C22semidirect
160. #17988463C22semidirect
161. #17988463C22semidirect
162. #17988463C22semidirect
163. #17988463C22semidirect
164. #17988463C22semidirect
168. #17988446C22semidirect
169. #17988445C22semidirect
171. #17988444C22semidirect
175. C2×C22⋊Q8×C73C22semidirect
176. #400×C73C22semidirect
177. #397×C73C22semidirect
178. #394×C73C22semidirect
179. #393×C73C22semidirect
180. #393×C73C22semidirect
183. #388×C73C22semidirect
184. #387×C73C22semidirect
185. #386×C73C22semidirect
186. #386×C73C22semidirect
187. #386×C73C22semidirect
188. #380×C73C22semidirect
288. C4⋊C4×D73D4semidirect
968. #2696D73semidirect
988. C73#36710semidirect
1010. C2×C22⋊Q8C2×D73semidirect
1039. #400C2×D73semidirect
1043. #397C2×D73semidirect
1055. #394C2×D73semidirect
1062. #393C2×D73semidirect
1063. #393C2×D73semidirect
1095. #388C2×D73semidirect
1103. #387C2×D73semidirect
1133. #386C2×D73semidirect
1134. #386C2×D73semidirect
1135. #386C2×D73semidirect
1143. #380C2×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179891672
C2×#123×D732
#226182142
#226182122
#226164882
#226164862
#226164832
#226164812
#226164762
#226164752
#226164742
#226162042
#226162012
#226162002
#226161992
#226161982
#226161972
#226161952
#226161942
#226156702
#226156662
#226154092
#226154072
#226135672
#226135632
#226132512
#226132482
#226125302
C73×#26962
#3671073