Finite Group Databasebeta

← #33254656

Subgroups — #33254656

Order 18688.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989095C211yesmaximal, characteristic, complemented
2C2×C4×#11924029C211yesmaximal, characteristic, complemented
3#22614130C211yesmaximal, characteristic, complemented
4#22614123C211yesmaximal, characteristic, complemented
5#22614038C211yesmaximal, characteristic, complemented
6#22614031C211yesmaximal, characteristic, complemented
7#22613946C211yesmaximal, characteristic, complemented
8#22613939C211yesmaximal, characteristic, complemented
9#22613838C211yesmaximal, characteristic, complemented
10#22613754C211yesmaximal, characteristic, complemented
11#22613688C211yesmaximal, characteristic, complemented
12#22613602C211yesmaximal, characteristic, complemented
13#22613544C211yesmaximal, characteristic, complemented
14#22613474C211yesmaximal, characteristic, complemented
15#22613400C211yesmaximal, characteristic, complemented
16#22613309C211yesmaximal, characteristic, complemented
17#22613251C211yesmaximal, characteristic, complemented
18#22613213C211yesmaximal, characteristic, complemented
19#22613198C211yesmaximal, characteristic, complemented
20#22613172C211yesmaximal, characteristic, complemented
21#22613145C211yesmaximal, characteristic, complemented
22#22612458C211yesmaximal, characteristic, complemented
23#22612452C211yesmaximal, characteristic, complemented
24#22612443C211yesmaximal, characteristic, complemented
25#22612443C211yesmaximal, characteristic, complemented
26#22612432C211yesmaximal, characteristic, complemented
27#22612418C211yesmaximal, characteristic, complemented
28#22612373C211yesmaximal, characteristic, complemented
29#22612369C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D73C211yesmaximal, characteristic, complemented
31C73×#2458C211yesmaximal, characteristic, complemented
32C22×#11924029C2211yescharacteristic
33C22×#11924027C2211yescharacteristic
34C23×C4×D73C2211yescharacteristic
35#17989095—28no—
36C2×#14556576C2211yescharacteristic
37C2×#14556574C2211yescharacteristic
38C2×#14556573C2211yescharacteristic
39C2×#14556569C2211yescharacteristic
40C2×#14556569C2211yescharacteristic
41C2×#14556564C2211yescharacteristic
42C2×#14556564C2211yescharacteristic
43C2×#14556564C2211yescharacteristic
44C2×#14556564C2211yescharacteristic
45C2×#14556561C2211yescharacteristic
46C2×#14556561C2211yescharacteristic
47C2×#14556559C2211yescharacteristic
48C4×#11924029—28no—
49C2×Q8×Dic73C2211yescharacteristic, complemented
50C2×C4×D292C2211yescharacteristic
51C2×C4×D292C2211yescharacteristic
52C2×C4×D292C2211yescharacteristic, complemented
53C2×#14556553C2211yescharacteristic
54C2×#14556553C2211yescharacteristic
55C2×#14556553C2211yescharacteristic
56C2×#14556553C2211yescharacteristic
57C2×#14556553C2211yescharacteristic, complemented
58C2×#14556551C2211yescharacteristic
59C2×#14556551C2211yescharacteristic
60C2×#14556551C2211yescharacteristic
61C2×#14556551C2211yescharacteristic, complemented
62C2×#14556549C2211yescharacteristic
63C2×#14556549C2211yescharacteristic, complemented
64C2×#14556549C2211yescharacteristic, complemented
65C2×#14556549C2211yescharacteristic, complemented
66C2×#14556547C2211yescharacteristic
67C2×C22⋊C4×D73C2211yescharacteristic
68C2×C22⋊C4×D73C2211yescharacteristic
69C2×C42×D73C2211yescharacteristic
70C2×C42×D73C2211yescharacteristic
71C2×C42×D73C2211yescharacteristic, complemented
72C2×C42×D73C2211yescharacteristic, complemented
73#17988529C2211yescharacteristic, complemented
74#17988529C2211yescharacteristic, complemented
75#17988527C2211yescharacteristic, complemented
76#17988523C2211yescharacteristic
77#17988521C2211yescharacteristic, complemented
78#17988521C2211yescharacteristic, complemented
79#17988514C2211yescharacteristic
80#17988513C2211yescharacteristic, complemented
81#17988512C2211yescharacteristic, complemented
82#17988510C2211yescharacteristic
83#17988510C2211yescharacteristic
84#17988509C2211yescharacteristic
85#17988509C2211yescharacteristic, complemented
86#17988507C2211yescharacteristic, complemented
87#17988506C2211yescharacteristic, complemented
88#17988505C2211yescharacteristic
89#17988505C2211yescharacteristic, complemented
90#17988504C2211yescharacteristic
91#17988503C2211yescharacteristic
92#17988503C2211yescharacteristic
93#17988502C2211yescharacteristic
94#17988502C2211yescharacteristic, complemented
95#17988500C2211yescharacteristic, complemented
96#17988498C2211yescharacteristic
97#17988497C2211yescharacteristic
98#17988496C2211yescharacteristic
99#17988496C2211yescharacteristic, complemented
100#17988495C2211yescharacteristic
101#17988493C2211yescharacteristic, complemented
102#17988492C2211yescharacteristic, complemented
103#17988490C2211yescharacteristic
104#17988487C2211yescharacteristic
105#17988487C2211yescharacteristic, complemented
106#17988482C2211yescharacteristic, complemented
107#17988482C2211yescharacteristic, complemented
108#17988480C2211yescharacteristic
109#17988479C2211yescharacteristic
110#17988478C2211yescharacteristic
111#17988478C2211yescharacteristic
112#17988478C2211yescharacteristic, complemented
113#17988478C2211yescharacteristic, complemented
114#17988476C2211yescharacteristic, complemented
115#17988475C2211yescharacteristic, complemented
116#17988473C2211yescharacteristic, complemented
117#17988472C2211yescharacteristic, complemented
118#17988471C2211yescharacteristic, complemented
119#17988471C2211yescharacteristic, complemented
120#17988469C2211yescharacteristic, complemented
121#17988468C2211yescharacteristic, complemented
122#17988466C2211yescharacteristic
123#17988465C2211yescharacteristic
124#17988465C2211yescharacteristic
125#17988465C2211yescharacteristic
126#17988465C2211yescharacteristic
127#17988465C2211yescharacteristic
128#17988465C2211yescharacteristic
129#17988465C2211yescharacteristic
130#17988463C2211yescharacteristic
131#17988463C2211yescharacteristic
132#17988463C2211yescharacteristic
133#17988463C2211yescharacteristic
134#17988463C2211yescharacteristic
135#17988463C2211yescharacteristic
136#17988463C2211yescharacteristic, complemented
137#17988463C2211yescharacteristic, complemented
138#17988463C2211yescharacteristic, complemented
139#17988461C2211yescharacteristic
140#17988461C2211yescharacteristic, complemented
141#17988461C2211yescharacteristic, complemented
142#17988458C2211yescharacteristic
143#17988458C2211yescharacteristic
144#17988458C2211yescharacteristic
145#17988458C2211yescharacteristic
146#17988458C2211yescharacteristic, complemented
147#17988449C2211yescharacteristic
148#17988449C2211yescharacteristic, complemented
149#17988446C2211yescharacteristic
150#17988446C2211yescharacteristic, complemented
151#17988442C2211yescharacteristic
152C4⋊C4×Dic73C2211yescharacteristic, complemented
153#17988438C2211yescharacteristic, complemented
154#17988438C2211yescharacteristic, complemented
155#17988438C2211yescharacteristic, complemented
156C22⋊C4×Dic73C2211yescharacteristic
157C22⋊C4×Dic73C2211yescharacteristic
158C22⋊C4×Dic73C2211yescharacteristic
159C22⋊C4×Dic73C2211yescharacteristic, complemented
160C22⋊C4×Dic73C2211yescharacteristic, complemented
161C22⋊C4×Dic73C2211yescharacteristic, complemented
162C4×#11924005C2211yescharacteristic
163C4×#11924005C2211yescharacteristic
164C4×C22⋊Dic73C2211yescharacteristic
165#17988434C2211yescharacteristic
166#17988434C2211yescharacteristic
167#17988434C2211yescharacteristic
168#17988434C2211yescharacteristic
169#17988434C2211yescharacteristic, complemented
170#17988434C2211yescharacteristic, complemented
171#17988432C2211yescharacteristic, complemented
172#95×D73C2211yescharacteristic
173#95×D73C2211yescharacteristic
174C2×#123×C73C2211yescharacteristic
175C2×C4×Q8×C73C2211yescharacteristic, complemented
176#398×C73C2211yescharacteristic, complemented
177#394×C73C2211yescharacteristic
178#393×C73C2211yescharacteristic
179#393×C73C2211yescharacteristic, complemented
180#390×C73C2211yescharacteristic
181#388×C73C2211yescharacteristic
182#388×C73C2211yescharacteristic, complemented
183#388×C73C2211yescharacteristic, complemented
184#388×C73C2211yescharacteristic, complemented
185#387×C73C2211yescharacteristic, complemented
186#387×C73C2211yescharacteristic, complemented
187#385×C73C2211yescharacteristic
188C4×C22⋊C4×C73C2211yescharacteristic
189C24×D73C2311yescharacteristic
190C2×#11924029—24no—
191C2×#11924029—24no—
192C2×#11924029—24no—
193C2×#11924027—24no—
194C2×#11924027—24no—
195C2×#11924027—42no—
196C22×Dic146C2311yescharacteristic
197C22×D292C2311yescharacteristic
198C22×D292C2311yescharacteristic
199C22×D292C2311yescharacteristic
200C22×D292C2311yescharacteristic
201C22×D292C2311yescharacteristic
202C22×C22⋊D73C2311yescharacteristic
203C22×C22⋊D73C2311yescharacteristic
204C22×C22⋊D73C2311yescharacteristic
205C22×C22⋊D73C2311yescharacteristic
206C22×C22⋊D73C2311yescharacteristic
207C22×C22⋊D73C2311yescharacteristic
208C23×Dic73C2311yescharacteristic
209C23×Dic73C2311yescharacteristic
210C22×C4×D73—24no—
211C22×C4×D73—24no—
212C22×C4×D73—42no—
213C22×C4×D73C2311yescharacteristic
214C22×C4×D73C2311yescharacteristic
215C22×C4×D73C2311yescharacteristic
216C22×C4×D73C2311yescharacteristic
217C22×C4×D73C2311yescharacteristic
218C22×C4×D73C2311yescharacteristic
219C22×C4×D73C2311yescharacteristic
220C22×C4×D73C2311yescharacteristic
221C22×C4×D73C2311yescharacteristic
222C22×C4×D73C2311yescharacteristic
223C22×C4×D73C2311yescharacteristic
224C22×C4×D73C2311yescharacteristic
225C22×C4×D73C2311yescharacteristic
226C22×C4×D73C2311yescharacteristic
227#14556576—24no—
228#14556574—24no—
229#14556573—24no—
230#14556569—24no—
231#14556569—24no—
232#14556564—24no—
233#14556564—24no—
234#14556564—24no—
235#14556564—24no—
236#14556561—24no—
237#14556561—24no—
238#14556559—24no—
239Q8×Dic73—24no—
240C4×D292—24no—
241C4×D292—24no—
242C4×D292—24no—
243#14556553—24no—
244#14556553—24no—
245#14556553—24no—
246#14556553—42no—
247#14556553D418yescomplemented
248#14556551—24no—
249#14556551—24no—
250#14556551—24no—
251#14556551—42no—
252#14556549—24no—
253#14556549—24no—
254#14556549—24no—
255#14556549—42no—
256#14556547—24no—
257C2×C4⋊Dic73C2311yescharacteristic
258C2×C4⋊Dic73C2311yescharacteristic
259C2×C4⋊Dic73C2311yescharacteristic
260C2×C4⋊Dic73C2311yescharacteristic
261C2×C4⋊Dic73C2311yescharacteristic
262C2×#11924007C2311yescharacteristic
263C2×#11924007C2311yescharacteristic
264C2×#11924007C2311yescharacteristic
265C2×#11924007C2311yescharacteristic
266C2×#11924007C2311yescharacteristic
267C2×#11924007C2311yescharacteristic
268C2×#11924007C2311yescharacteristic
269C2×#11924007C2311yescharacteristic
270C2×#11924007C2311yescharacteristic
271C2×#11924007C2311yescharacteristic
272C2×#11924007C2311yescharacteristic
273C2×#11924007C2311yescharacteristic
274C2×C22⋊Dic73C2311yescharacteristic
275C2×C22⋊Dic73C2311yescharacteristic
276C2×C22⋊Dic73C2311yescharacteristic
277C2×C22⋊Dic73C2311yescharacteristic
278C2×C22⋊Dic73C2311yescharacteristic
279C2×C22⋊Dic73C2311yescharacteristic
280C2×C22⋊Dic73C2311yescharacteristic
281C2×#11924005C2311yescharacteristic
282C2×#11924005C2311yescharacteristic
283C2×#11924005C2311yescharacteristic
284C2×#11924005C2311yescharacteristic
285C2×#11924005C2311yescharacteristic
286C2×#11924005C2311yescharacteristic
287C2×#11924005C2311yescharacteristic
288C2×#11924005C2311yescharacteristic
289C2×#11924005C2311yescharacteristic
290C2×#11924005C2311yescharacteristic
291C2×#11924005C2311yescharacteristic
292C2×#11924005C2311yescharacteristic
293C2×#11924005C2311yescharacteristic
294C2×#11924005C2311yescharacteristic
295C2×#11924005C2311yescharacteristic
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
309C22⋊C4×D73—24no—
310C22⋊C4×D73—24no—
311C2×C4×Dic73C2311yescharacteristic
312C2×C4×Dic73C2311yescharacteristic
313C2×C4×Dic73C2311yescharacteristic
314C2×C4×Dic73C2311yescharacteristic
315C2×C4×Dic73C2311yescharacteristic
316C2×C4×Dic73C2311yescharacteristic
317C2×C4×Dic73C2311yescharacteristic
318C2×C4×Dic73C2311yescharacteristic
319C2×C4×Dic73C2311yescharacteristic
320C2×C4×Dic73C2311yescharacteristic
321C2×C4×Dic73C2311yescharacteristic
322C2×C4×Dic73C2311yescharacteristic
323C2×C4×Dic73C2311yescharacteristic
324C42×D73—24no—
325C42×D73—24no—
326C42×D73—24no—
327C42×D73—42no—
328#14556498C2311yescharacteristic
329#14556498C2311yescharacteristic
330#14556498C2311yescharacteristic
331#14556498C2311yescharacteristic
332#14556498C2311yescharacteristic
333#14556498C2311yescharacteristic
334#14556498C2311yescharacteristic
335#14556498C2311yescharacteristic
336#14556498C2311yescharacteristic
337#14556498C2311yescharacteristic
338#14556498C2311yescharacteristic
339#14556498C2311yescharacteristic
340#14556498C2311yescharacteristic
341#14556498C2311yescharacteristic
342#14556498C2311yescharacteristic
343#14556498C2311yescharacteristic
344#14556498C2311yescharacteristic
345#14556498C2311yescharacteristic
346#14556498C2311yescharacteristic
347#14556498C2311yescharacteristic
348#14556498C2311yescharacteristic
349#14556498C2311yescharacteristic
350#14556498C2311yescharacteristic
351#14556498C2311yescharacteristic
352#14556498C2311yescharacteristic
353#14556498C2311yescharacteristic
354C22×Q8×C73C2311yescharacteristic
355C22×D4×C73C2311yescharacteristic
356C23×C4×C73C2311yescharacteristic
357#123×C73—24no—
358C4×Q8×C73—24no—
359C2×C4⋊C4×C73C2311yescharacteristic
360C2×C4⋊C4×C73C2311yescharacteristic
361C2×C4⋊C4×C73C2311yescharacteristic
362C2×C4⋊C4×C73C2311yescharacteristic
363C2×C4⋊C4×C73C2311yescharacteristic
364C2×C4⋊C4×C73C2311yescharacteristic
365C2×C4⋊C4×C73C2311yescharacteristic
366C2×C22⋊C4×C73C2311yescharacteristic
367C2×C22⋊C4×C73C2311yescharacteristic
368C2×C22⋊C4×C73C2311yescharacteristic
369C2×C22⋊C4×C73C2311yescharacteristic
370C2×C22⋊C4×C73C2311yescharacteristic
371C2×C22⋊C4×C73C2311yescharacteristic
372C2×C22⋊C4×C73C2311yescharacteristic
373C2×C22⋊C4×C73C2311yescharacteristic
374C2×C22⋊C4×C73C2311yescharacteristic
375C2×C22⋊C4×C73C2311yescharacteristic
376C2×C22⋊C4×C73C2311yescharacteristic
377C2×C42×C73C2311yescharacteristic
378C2×C42×C73C2311yescharacteristic
379C2×C42×C73C2311yescharacteristic
380C2×C42×C73C2311yescharacteristic
381#95×C73C2311yescharacteristic
382#95×C73C2311yescharacteristic
383#95×C73C2311yescharacteristic
384#95×C73C2311yescharacteristic
385#95×C73C2311yescharacteristic
386#95×C73C2311yescharacteristic
387#95×C73C2311yescharacteristic
388#95×C73C2311yescharacteristic
389#95×C73C2311yescharacteristic
390#95×C73C2311yescharacteristic
391C23×D73—22no—
392C23×D73—22no—
393C23×D73—22no—
394C23×D73—22no—
395C23×D73—22no—
396C23×D73—41no—
397C23×D73—41no—
398C23×D73C2411yescharacteristic
399C23×D73C2411yescharacteristic
400C23×D73C2411yescharacteristic
401C23×D73C2411yescharacteristic
402#11924029—232no—
403#11924027—416no—
404C2×Dic146—22no—
405C2×Dic146—22no—
406C2×Dic146—41no—
407C2×D292—22no—
408C2×D292—22no—
409C2×D292—22no—
410C2×D292—22no—
411C2×D292—22no—
412C2×D292—22no—
413C2×D292—22no—
414C2×D292—22no—
415C2×D292—22no—
416C2×D292—22no—
417C2×D292—22no—
418C2×D292—41no—
419C2×D292—41no—
420C2×D292C2×D414yes—
421C2×D292#4114yescomplemented
422C2×C22⋊D73—22no—
423C2×C22⋊D73—22no—
424C2×C22⋊D73—22no—
425C2×C22⋊D73—22no—
426C2×C22⋊D73—22no—
427C2×C22⋊D73—22no—
428C2×C22⋊D73—22no—
429C2×C22⋊D73—22no—
430C2×C22⋊D73—22no—
431C2×C22⋊D73—22no—
432C2×C22⋊D73—22no—
433C2×C22⋊D73—22no—
434C2×C22⋊D73—22no—
435C2×C22⋊D73—41no—
436C2×C22⋊D73—41no—
437C2×C22⋊D73—41no—
438C2×C22⋊D73—41no—
439C2×C22⋊D73—41no—
440C22×Dic73—22no—
441C22×Dic73—22no—
442C22×Dic73—22no—
443C22×Dic73—22no—
444C22×Dic73—22no—
445C22×Dic73#4114yescomplemented
446C22×Dic73C2411yescharacteristic
447C22×Dic73C2411yescharacteristic
448C22×Dic73C2411yescharacteristic
449C22×Dic73C2411yescharacteristic
450C22×Dic73C2411yescharacteristic
451C22×Dic73C2411yescharacteristic
452C22×Dic73C2411yescharacteristic
453C22×Dic73C2411yescharacteristic
454C22×Dic73C2411yescharacteristic
455C22×Dic73C2411yescharacteristic
456C22×Dic73C2411yescharacteristic
457C22×Dic73C2411yescharacteristic
458C2×C4×D73—22no—
459C2×C4×D73—22no—
460C2×C4×D73—22no—
461C2×C4×D73—22no—
462C2×C4×D73—22no—
463C2×C4×D73—22no—
464C2×C4×D73—22no—
465C2×C4×D73—22no—
466C2×C4×D73—22no—
467C2×C4×D73—22no—
468C2×C4×D73—22no—
469C2×C4×D73—22no—
470C2×C4×D73—22no—
471C2×C4×D73—22no—
472C2×C4×D73—22no—
473C2×C4×D73—22no—
474C2×C4×D73—22no—
475C2×C4×D73—22no—
476C2×C4×D73—22no—
477C2×C4×D73—22no—
478C2×C4×D73—22no—
479C2×C4×D73—22no—
480C2×C4×D73—22no—
481C2×C4×D73—22no—
482C2×C4×D73—22no—
483C2×C4×D73—22no—
484C2×C4×D73—22no—
485C2×C4×D73—22no—
486C2×C4×D73—22no—
487C2×C4×D73—22no—
488C2×C4×D73—22no—
489C2×C4×D73—416no—
490C2×C4×D73—41no—
491C2×C4×D73—41no—
492C2×C4×D73—41no—
493C2×C4×D73—41no—
494C2×C4×D73—41no—
495C2×C4×D73—41no—
496C2×C4×D73—41no—
497C2×C4×D73—41no—
498C2×C4×D73C2×D414yes—
499C2×C4×D73C2×D414yes—
500C2×C4×D73#4114yescomplemented
501C4⋊Dic73—22no—
502C4⋊Dic73—22no—
503C4⋊Dic73—22no—
504C4⋊Dic73—22no—
505C4⋊Dic73—41no—
506#11924007—22no—
507#11924007—22no—
508#11924007—22no—
509#11924007—22no—
510#11924007—22no—
511#11924007—22no—
512#11924007—22no—
513#11924007—22no—
514#11924007—22no—
515#11924007—41no—
516#11924007—41no—
517#11924007—41no—
518C22⋊Dic73—22no—
519C22⋊Dic73—22no—
520C22⋊Dic73—22no—
521C22⋊Dic73—22no—
522C22⋊Dic73—41no—
523C22⋊Dic73—41no—
524C22⋊Dic73—41no—
525#11924005—22no—
526#11924005—22no—
527#11924005—22no—
528#11924005—22no—
529#11924005—22no—
530#11924005—22no—
531#11924005—22no—
532#11924005—22no—
533#11924005—22no—
534#11924005—22no—
535#11924005—22no—
536#11924005—22no—
537#11924005—22no—
538#11924005—22no—
539#11924005—22no—
540#11924005—22no—
541#11924005—22no—
542#11924005—22no—
543#11924005—41no—
544#11924005—41no—
545#11924005—41no—
546#11924005—41no—
547#11924005—41no—
548#11924005—41no—
549#11924005—41no—
550#11924005C2×D414yes—
551#11924005C2×D414yes—
552#11924005#4114yescomplemented
553C4×Dic73—22no—
554C4×Dic73—22no—
555C4×Dic73—22no—
556C4×Dic73—22no—
557C4×Dic73—22no—
558C4×Dic73—22no—
559C4×Dic73—22no—
560C4×Dic73—22no—
561C4×Dic73—22no—
562C4×Dic73—22no—
563C4×Dic73—22no—
564C4×Dic73—41no—
565C4×Dic73C2×D414yes—
566C24×C73C2411yescharacteristic
567C24×C73C2411yescharacteristic
568C2×Q8×C73—22no—
569C2×Q8×C73—22no—
570C2×Q8×C73—22no—
571C2×D4×C73—22no—
572C2×D4×C73—22no—
573C2×D4×C73—41no—
574C22×C4×C73—22no—
575C22×C4×C73—22no—
576C22×C4×C73—41no—
577C22×C4×C73C2411yescharacteristic
578C22×C4×C73C2411yescharacteristic
579C22×C4×C73C2411yescharacteristic
580C22×C4×C73C2411yescharacteristic
581C22×C4×C73C2411yescharacteristic
582C22×C4×C73C2411yescharacteristic
583C22×C4×C73C2411yescharacteristic
584C22×C4×C73C2411yescharacteristic
585C22×C4×C73C2411yescharacteristic
586C22×C4×C73C2411yescharacteristic
587C22×C4×C73C2411yescharacteristic
588C22×C4×C73C2411yescharacteristic
589C22×C4×C73C2411yescharacteristic
590C4⋊C4×C73—22no—
591C4⋊C4×C73—22no—
592C4⋊C4×C73—22no—
593C4⋊C4×C73—22no—
594C4⋊C4×C73—41no—
595C4⋊C4×C73—41no—
596C4⋊C4×C73C2×D414yes—
597C22⋊C4×C73—22no—
598C22⋊C4×C73—22no—
599C22⋊C4×C73—22no—
600C22⋊C4×C73—22no—
601C22⋊C4×C73—22no—
602C22⋊C4×C73—22no—
603C22⋊C4×C73—22no—
604C22⋊C4×C73—22no—
605C22⋊C4×C73—22no—
606C22⋊C4×C73—22no—
607C22⋊C4×C73—41no—
608C42×C73—22no—
609C42×C73—22no—
610C42×C73—22no—
611C42×C73—41no—
612C23×C73—21no—
613C23×C73—21no—
614C23×C73—21no—
615C23×C73—21no—
616C23×C73—21no—
617C23×C73—21no—
618C23×C73—21no—
619C23×C73—21no—
620C23×C73—21no—
621C23×C73—21no—
622C23×C73—21no—
623C23×C73—21no—
624C23×C73—21no—
625C23×C73C2×#4112yes—
626C23×C73C2511yescharacteristic
627C22×D73—21no—
628C22×D73—21no—
629C22×D73—21no—
630C22×D73—21no—
631C22×D73—28no—
632C22×D73—21no—
633C22×D73—21no—
634C22×D73—21no—
635C22×D73—21no—
636C22×D73—21no—
637C22×D73—21no—
638C22×D73—21no—
639C22×D73—21no—
640C22×D73—21no—
641C22×D73—21no—
642C22×D73—21no—
643C22×D73—21no—
644C22×D73—21no—
645C22×D73—21no—
646C22×D73—21no—
647C22×D73—21no—
648C22×D73—21no—
649C22×D73—21no—
650C22×D73—44no—
651C22×D73—44no—
652C22×D73—44no—
653C22×D73—44no—
654C22×D73—44no—
655C22×D73—44no—
656C22×D73C22×D412yes—
657C22×D73C22×D412yes—
658C22×D73C2×#4112yes—
659C22×D73C2×#4112yes—
660C22×D73C2×#4112yes—
661C22×D73C2×#4112yes—
662Q8×C73—28no—
663D4×C73—44no—
664C2×C4×C73—21no—
665C2×C4×C73—21no—
666C2×C4×C73—21no—
667C2×C4×C73—21no—
668C2×C4×C73—21no—
669C2×C4×C73—21no—
670C2×C4×C73—21no—
671C2×C4×C73—21no—
672C2×C4×C73—21no—
673C2×C4×C73—21no—
674C2×C4×C73—21no—
675C2×C4×C73—21no—
676C2×C4×C73—21no—
677C2×C4×C73—21no—
678C2×C4×C73—21no—
679C2×C4×C73—21no—
680C2×C4×C73—21no—
681C2×C4×C73—21no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—21no—
685C2×C4×C73—21no—
686C2×C4×C73—21no—
687C2×C4×C73—21no—
688C2×C4×C73—21no—
689C2×C4×C73—21no—
690C2×C4×C73—21no—
691C2×C4×C73—21no—
692C2×C4×C73—21no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—44no—
698C2×C4×C73C22×D412yes—
699C2×C4×C73C22×D412yes—
700C2×C4×C73C22×D412yes—
701C2×C4×C73C2×#4112yes—
702C2×C4×C73C2×#4112yes—
703C2×C4×C73C2×#4112yes—
704C22⋊D73—44no—
705C22⋊D73—44no—
706C22⋊D73—44no—
707C22⋊D73—44no—
708C22⋊D73—44no—
709C22⋊D73—44no—
710C2×Dic73—21no—
711C2×Dic73—21no—
712C2×Dic73—21no—
713C2×Dic73—21no—
714C2×Dic73—21no—
715C2×Dic73—21no—
716C2×Dic73—21no—
717C2×Dic73—21no—
718C2×Dic73—28no—
719C2×Dic73—21no—
720C2×Dic73—21no—
721C2×Dic73—21no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730C2×Dic73—21no—
731C2×Dic73—21no—
732C2×Dic73—21no—
733C2×Dic73—21no—
734C2×Dic73—21no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—21no—
738C2×Dic73—21no—
739C2×Dic73—21no—
740C2×Dic73—44no—
741C2×Dic73C22×D412yes—
742C2×Dic73C22×D412yes—
743C2×Dic73C2×#4112yes—
744C2×Dic73C2×#4112yes—
745C2×Dic73C2×#4112yes—
746C2×Dic73C2×#4112yes—
747C2×Dic73H(5,𝔽2)12yes—
748D292—28no—
749D292—28no—
750D292—28no—
751D292—44no—
752D292—44no—
753C4×D73—28no—
754C4×D73—28no—
755C4×D73—28no—
756C4×D73—28no—
757C4×D73—28no—
758C4×D73—44no—
759C4×D73—44no—
760C4×D73—44no—
761C4×D73—44no—
762C4×D73—44no—
763C4×D73—44no—
764C4×D73—44no—
765C4×D73—44no—
766C4×D73—44no—
767Dic146—44no—
768C22×C73—22no—
769C22×C73—22no—
770C22×C73—22no—
771C22×C73—41no—
772C22×C73—41no—
773C22×C73—41no—
774C22×C73—41no—
775C22×C73—41no—
776C22×C73—41no—
777C22×C73—41no—
778C22×C73—41no—
779C22×C73—41no—
780C22×C73—41no—
781C22×C73—41no—
782C22×C73C23×D411yescharacteristic
783C22×C73C22×#4111yescharacteristic
784C22×C73C22×#4111yescharacteristic
785C22×C73C22×#4111yescharacteristic
786C22×C73C22×#4111yescharacteristic
787C22×C73C2×H(5,𝔽2)11yescharacteristic
788C22×C73#58511yescharacteristic
789C2×D73—22no—
790C2×D73—22no—
791C2×D73—22no—
792C2×D73—22no—
793C2×D73—22no—
794C2×D73—22no—
795C2×D73—22no—
796C2×D73—22no—
797C2×D73—22no—
798C2×D73—22no—
799C2×D73—22no—
800C2×D73—22no—
801C2×D73—22no—
802C2×D73—22no—
803C2×D73—22no—
804C2×D73—416no—
805C2×D73—41no—
806C2×D73—41no—
807C2×D73—41no—
808C2×D73—41no—
809C2×D73—41no—
810C2×D73—41no—
811C2×D73—41no—
812C2×D73—41no—
813C2×D73—41no—
814C2×D73—41no—
815C2×D73—41no—
816C2×D73—41no—
817C2×D73#52514yes—
818C4×C73—22no—
819C4×C73—22no—
820C4×C73—22no—
821C4×C73—22no—
822C4×C73—22no—
823C4×C73—22no—
824C4×C73—41no—
825C4×C73—41no—
826C4×C73—41no—
827C4×C73—41no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73—41no—
831Dic73—22no—
832Dic73—22no—
833Dic73—22no—
834Dic73—22no—
835Dic73—41no—
836Dic73—41no—
837Dic73—41no—
838Dic73—41no—
839Dic73—41no—
840Dic73—41no—
841Dic73—41no—
842Dic73#54614yes—
843#34732—731nomaximal, Sylow
844C2×C73—42no—
845C2×C73—81no—
846C2×C73C2×#52511yescharacteristic
847C2×C73#344411yescharacteristic
848C2×C73#346011yescharacteristic
849C2×C73C2×#54611yescharacteristic
850C2×C73D4×#4111yescharacteristic
851C2×C73#347511yescharacteristic
852C2×C73#348111yescharacteristic
853D73—24no—
854D73—42no—
855D73—42no—
856D73—42no—
857C2×#525—731no—
858C2×C4×#41—731no—
859#2477—731no—
860#2476—731no—
861#2471—731no—
862#2470—731no—
863#2465—731no—
864#2464—731no—
865#2458D7311yescharacteristic, complemented
866#2457—731no—
867#2450—731no—
868#2444—731no—
869#2438—731no—
870#2430—731no—
871#2424—731no—
872#2418—731no—
873#2411—731no—
874#2404—731no—
875#2398—731no—
876#2396—731no—
877#2392—731no—
878#2388—731no—
879C4×#123—731no—
880C4×#123—731no—
881C4×#121—731no—
882C4×#121—731no—
883C4×#120—731no—
884#2297—731no—
885#2290—731no—
886#2290—731no—
887C2×C4×C22⋊C4—731no—
888C73#3473211yescharacteristic, complemented, Sylow
889C22×#41—731no—
890C22×#41—731no—
891C24×C4—731no—
892#525—1468no—
893C2×#123—731no—
894C2×#123—731no—
895C2×#123—731no—
896C2×#123C2×D7311yescharacteristic
897C2×C22⋊Q8—731no—
898C2×C22⋊Q8—731no—
899C2×#121—731no—
900C2×#121—731no—
901C2×#121—731no—
902C2×#121—731no—
903C2×#120—731no—
904C2×#120—731no—
905C2×#120—731no—
906C4×#41—1468no—
907C2×C4×Q8—731no—
908C2×C4×Q8C2×D7311yescharacteristic, complemented
909C2×C4×D4—731no—
910C2×C4×D4—731no—
911C2×C4×D4—731no—
912C2×C4×D4—731no—
913C2×C4×D4—731no—
914C2×C4×D4—731no—
915C2×C4×D4—731no—
916C2×C4×D4—731no—
917C2×C4×D4—731no—
918C2×C4×D4—731no—
919C2×C4×D4—731no—
920C2×C4×D4—731no—
921C2×#117—731no—
922C2×#117—731no—
923C2×#117—731no—
924C2×#117—731no—
925C2×#117—731no—
926C22×C22⋊C4—731no—
927C22×C22⋊C4—731no—
928C22×C42—731no—
929C22×C42—731no—
930C22×C42—731no—
931C22×C42—731no—
932#400—731no—
933#400—731no—
934#400—731no—
935#399—731no—
936#398—731no—
937#398—731no—
938#398C2×D7311yescharacteristic, complemented
939#397—731no—
940#397—731no—
941#397—731no—
942#396—731no—
943#396—731no—
944#396—731no—
945#396—731no—
946#395—731no—
947#395—731no—
948#394—731no—
949#394—731no—
950#394—731no—
951#394—731no—
952#394—731no—
953#394—731no—
954#394—731no—
955#394C2×D7311yescharacteristic
956#393—731no—
957#393—731no—
958#393C2×D7311yescharacteristic
959#393C2×D7311yescharacteristic, complemented
960#392—731no—
961#392—731no—
962#392—731no—
963#392—731no—
964#391—731no—
965#391—731no—
966#390—731no—
967#390—731no—
968#390—731no—
969#390C2×D7311yescharacteristic
970#389—731no—
971#389—731no—
972#388—731no—
973#388—731no—
974#388—731no—
975#388—731no—
976#388—731no—
977#388—731no—
978#388—731no—
979#388—731no—
980#388C2×D7311yescharacteristic
981#388C2×D7311yescharacteristic, complemented
982#388C2×D7311yescharacteristic, complemented
983#388C2×D7311yescharacteristic, complemented
984#387—731no—
985#387—731no—
986#387—731no—
987#387—731no—
988#387—731no—
989#387—731no—
990#387C2×D7311yescharacteristic, complemented
991#387C2×D7311yescharacteristic, complemented
992#386—731no—
993#386—731no—
994#386—731no—
995#386—731no—
996#386—731no—
997#386—731no—
998#386—731no—
999#386—731no—
1000#386—731no—
1001#386—731no—
1002#386—731no—
1003#386—731no—
1004#386—731no—
1005#386—731no—
1006#386—731no—
1007#386—731no—
1008#386—731no—
1009#385—731no—
1010#385—731no—
1011#385—731no—
1012#385—731no—
1013#385—731no—
1014#385—731no—
1015#385—731no—
1016#385—731no—
1017#385C2×D7311yescharacteristic
1018#381—731no—
1019#381—731no—
1020#380—731no—
1021#380—731no—
1022#379—731no—
1023C4×C4⋊C4—731no—
1024C4×C4⋊C4—731no—
1025C4×C4⋊C4—731no—
1026C4×C4⋊C4—731no—
1027C4×C22⋊C4—731no—
1028C4×C22⋊C4—731no—
1029C4×C22⋊C4—731no—
1030C4×C22⋊C4—731no—
1031C4×C22⋊C4—731no—
1032C4×C22⋊C4—731no—
1033C4×C22⋊C4—731no—
1034C4×C22⋊C4—731no—
1035C4×C22⋊C4—731no—
1036C4×C22⋊C4—731no—
1037C4×C22⋊C4—731no—
1038C4×C22⋊C4—731no—
1039C4×C22⋊C4—731no—
1040C4×C22⋊C4—731no—
1041C4×C22⋊C4—731no—
1042C4×C22⋊C4C2×D7311yescharacteristic
1043#376—731no—
1044C2×#95—731no—
1045C2×#95—731no—
1046C25—731no—
1047C2×#41—2922no—
1048C2×#41—1464no—
1049C2×#41—1464no—
1050C2×#41—1464no—
1051C2×#41—1464no—
1052C2×#41—1464no—
1053C22×Q8—731no—
1054C22×Q8C22×D7311yescharacteristic
1055C22×D4—731no—
1056C22×D4—731no—
1057C22×D4—731no—
1058C22×D4—731no—
1059C22×D4—731no—
1060C22×D4—731no—
1061C22×D4—731no—
1062C22×D4—731no—
1063C22×D4—731no—
1064C22×D4—731no—
1065C22×D4—731no—
1066C22×D4C22×D7311yescharacteristic
1067C23×C4—2922no—
1068C23×C4—731no—
1069C23×C4—731no—
1070C23×C4—731no—
1071C23×C4—731no—
1072C23×C4—731no—
1073C23×C4—731no—
1074C23×C4—731no—
1075C23×C4—731no—
1076C23×C4—731no—
1077C23×C4—731no—
1078C23×C4—731no—
1079C23×C4—731no—
1080C23×C4—731no—
1081C23×C4—731no—
1082C23×C4—731no—
1083C23×C4—731no—
1084C23×C4—1464no—
1085C23×C4—1464no—
1086C23×C4C22×D7311yescharacteristic
1087#123—24no—
1088#123—1464no—
1089#123—1464no—
1090#123—1464no—
1091C22⋊Q8—1464no—
1092C22⋊Q8—1464no—
1093#121—1464no—
1094#121—1464no—
1095#121—1464no—
1096#121—1464no—
1097#120—1464no—
1098#120—1464no—
1099#120—1464no—
1100C4×Q8—24no—
1101C4×Q8—1464no—
1102C4×D4—2922no—
1103C4×D4—2922no—
1104C4×D4—738no—
1105C4×D4—1464no—
1106C4×D4—1464no—
1107C4×D4—1464no—
1108C4×D4—1464no—
1109C4×D4—1464no—
1110C4×D4—1464no—
1111C4×D4—1464no—
1112C4×D4—1464no—
1113C4×D4—1464no—
1114#117—2922no—
1115#117—1464no—
1116#117—1464no—
1117#117—1464no—
1118#117—1464no—
1119C2×C4⋊C4—731no—
1120C2×C4⋊C4—731no—
1121C2×C4⋊C4—731no—
1122C2×C4⋊C4—731no—
1123C2×C4⋊C4—731no—
1124C2×C4⋊C4—731no—
1125C2×C4⋊C4—731no—
1126C2×C4⋊C4—731no—
1127C2×C4⋊C4—731no—
1128C2×C4⋊C4—731no—
1129C2×C4⋊C4—731no—
1130C2×C4⋊C4—731no—
1131C2×C4⋊C4—731no—
1132C2×C4⋊C4—731no—
1133C2×C4⋊C4—731no—
1134C2×C4⋊C4—731no—
1135C2×C4⋊C4—731no—
1136C2×C4⋊C4C22×D7311yescharacteristic
1137C2×C4⋊C4C22×D7311yescharacteristic
1138C2×C4⋊C4C22×D7311yescharacteristic
1139C2×C4⋊C4C22×D7311yescharacteristic
1140C2×C4⋊C4C22×D7311yescharacteristic
1141C2×C4⋊C4C22×D7311yescharacteristic
1142C2×C4⋊C4C22×D7311yescharacteristic
1143C2×C22⋊C4—731no—
1144C2×C22⋊C4—731no—
1145C2×C22⋊C4—731no—
1146C2×C22⋊C4—731no—
1147C2×C22⋊C4—731no—
1148C2×C22⋊C4—731no—
1149C2×C22⋊C4—731no—
1150C2×C22⋊C4—731no—
1151C2×C22⋊C4—731no—
1152C2×C22⋊C4—731no—
1153C2×C22⋊C4—731no—
1154C2×C22⋊C4—731no—
1155C2×C22⋊C4—731no—
1156C2×C22⋊C4—731no—
1157C2×C22⋊C4—731no—
1158C2×C22⋊C4—731no—
1159C2×C22⋊C4—731no—
1160C2×C22⋊C4—731no—
1161C2×C22⋊C4—731no—
1162C2×C22⋊C4—731no—
1163C2×C22⋊C4—731no—
1164C2×C22⋊C4—731no—
1165C2×C22⋊C4—731no—
1166C2×C22⋊C4—731no—
1167C2×C22⋊C4—731no—
1168C2×C22⋊C4—731no—
1169C2×C22⋊C4—731no—
1170C2×C22⋊C4—731no—
1171C2×C22⋊C4—731no—
1172C2×C22⋊C4—731no—
1173C2×C22⋊C4—731no—
1174C2×C22⋊C4—731no—
1175C2×C22⋊C4—731no—
1176C2×C22⋊C4—731no—
1177C2×C22⋊C4—731no—
1178C2×C22⋊C4—1464no—
1179C2×C22⋊C4—1464no—
1180C2×C22⋊C4C22×D7311yescharacteristic
1181C2×C22⋊C4C22×D7311yescharacteristic
1182C2×C22⋊C4C22×D7311yescharacteristic
1183C2×C22⋊C4C22×D7311yescharacteristic
1184C2×C22⋊C4C22×D7311yescharacteristic
1185C2×C22⋊C4C22×D7311yescharacteristic
1186C2×C22⋊C4C22×D7311yescharacteristic
1187C2×C22⋊C4C22×D7311yescharacteristic
1188C2×C22⋊C4C22×D7311yescharacteristic
1189C2×C22⋊C4C22×D7311yescharacteristic
1190C2×C22⋊C4C22×D7311yescharacteristic
1191C2×C42—2922no—
1192C2×C42—731no—
1193C2×C42—731no—
1194C2×C42—731no—
1195C2×C42—731no—
1196C2×C42—731no—
1197C2×C42—731no—
1198C2×C42—731no—
1199C2×C42—731no—
1200C2×C42—731no—
1201C2×C42—731no—
1202C2×C42—731no—
1203C2×C42—731no—
1204C2×C42—731no—
1205C2×C42—1464no—
1206C2×C42—1464no—
1207C2×C42—1464no—
1208C2×C42C22×D7311yescharacteristic
1209C2×C42C22×D7311yescharacteristic
1210C2×C42C22×D7311yescharacteristic
1211C2×C42C22×D7311yescharacteristic
1212#95—731no—
1213#95—731no—
1214#95—731no—
1215#95—731no—
1216#95—731no—
1217#95—731no—
1218#95—731no—
1219#95—731no—
1220#95—731no—
1221#95—731no—
1222#95—731no—
1223#95—731no—
1224#95—731no—
1225#95—731no—
1226#95—731no—
1227#95—731no—
1228#95—731no—
1229#95—731no—
1230#95—731no—
1231#95—731no—
1232#95—731no—
1233#95—731no—
1234#95—731no—
1235#95—731no—
1236#95—731no—
1237#95—731no—
1238#95C22×D7311yescharacteristic
1239#95C22×D7311yescharacteristic
1240#95C22×D7311yescharacteristic
1241#95C22×D7311yescharacteristic
1242#95C22×D7311yescharacteristic
1243#95C22×D7311yescharacteristic
1244#95C22×D7311yescharacteristic
1245#95C22×D7311yescharacteristic
1246#95C22×D7311yescharacteristic
1247#95C22×D7311yescharacteristic
1248C24—2921no—
1249C24—2921no—
1250C24—731no—
1251C24—731no—
1252C24—731no—
1253C24—731no—
1254C24—1462no—
1255C24—1462no—
1256C24—1462no—
1257C24—1462no—
1258C24—1462no—
1259C24C23×D7311yescharacteristic
1260C24C23×D7311yescharacteristic
1261#41—29216no—
1262#41—14632no—
1263C2×Q8—22no—
1264C2×Q8—22no—
1265C2×Q8—22no—
1266C2×Q8—2921no—
1267C2×Q8—1462no—
1268C2×Q8—1462no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—41no—
1272C2×D4—2921no—
1273C2×D4—2921no—
1274C2×D4—2921no—
1275C2×D4—2921no—
1276C2×D4—2921no—
1277C2×D4—2921no—
1278C2×D4—2921no—
1279C2×D4—734no—
1280C2×D4—734no—
1281C2×D4—1462no—
1282C2×D4—1462no—
1283C2×D4—1462no—
1284C2×D4—1462no—
1285C2×D4—1462no—
1286C2×D4—1462no—
1287C2×D4—1462no—
1288C2×D4—1462no—
1289C2×D4—1462no—
1290C2×D4—1462no—
1291C2×D4—1462no—
1292C2×D4—1462no—
1293C2×D4—1462no—
1294C2×D4—1462no—
1295C2×D4—1462no—
1296C2×D4—1462no—
1297C2×D4—1462no—
1298C2×D4—1462no—
1299C2×D4—1462no—
1300C2×D4—1462no—
1301C2×D4—1462no—
1302C2×D4—1462no—
1303C2×D4—1462no—
1304C2×D4—1462no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—41no—
1308C22×C4—2921no—
1309C22×C4—2921no—
1310C22×C4—2921no—
1311C22×C4—2921no—
1312C22×C4—2921no—
1313C22×C4—2921no—
1314C22×C4—2921no—
1315C22×C4—2921no—
1316C22×C4—29216no—
1317C22×C4—731no—
1318C22×C4—734no—
1319C22×C4—731no—
1320C22×C4—731no—
1321C22×C4—731no—
1322C22×C4—731no—
1323C22×C4—734no—
1324C22×C4—734no—
1325C22×C4—734no—
1326C22×C4—731no—
1327C22×C4—731no—
1328C22×C4—731no—
1329C22×C4—731no—
1330C22×C4—731no—
1331C22×C4—731no—
1332C22×C4—731no—
1333C22×C4—1462no—
1334C22×C4—1462no—
1335C22×C4—1462no—
1336C22×C4—1462no—
1337C22×C4—1462no—
1338C22×C4—1462no—
1339C22×C4—1462no—
1340C22×C4—1462no—
1341C22×C4—1462no—
1342C22×C4—1462no—
1343C22×C4—1462no—
1344C22×C4—1462no—
1345C22×C4—1462no—
1346C22×C4—1462no—
1347C22×C4—1462no—
1348C22×C4—1462no—
1349C22×C4—1462no—
1350C22×C4—1462no—
1351C22×C4—1462no—
1352C22×C4—1462no—
1353C22×C4—1462no—
1354C22×C4—1462no—
1355C22×C4—1462no—
1356C22×C4—1462no—
1357C22×C4—1462no—
1358C22×C4—1462no—
1359C22×C4—1462no—
1360C22×C4—1462no—
1361C22×C4—1462no—
1362C22×C4—1462no—
1363C22×C4—1462no—
1364C22×C4—1462no—
1365C22×C4—1462no—
1366C22×C4—1462no—
1367C22×C4—1462no—
1368C22×C4—1462no—
1369C22×C4C23×D7311yescharacteristic
1370C22×C4C23×D7311yescharacteristic
1371C22×C4C23×D7311yescharacteristic
1372C22×C4C23×D7311yescharacteristic
1373C22×C4C23×D7311yescharacteristic
1374C22×C4C23×D7311yescharacteristic
1375C22×C4C23×D7311yescharacteristic
1376C22×C4C23×D7311yescharacteristic
1377C22×C4C23×D7311yescharacteristic
1378C22×C4C23×D7311yescharacteristic
1379C22×C4C23×D7311yescharacteristic
1380C22×C4C23×D7311yescharacteristic
1381C22×C4C23×D7311yescharacteristic
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—41no—
1387C4⋊C4—41no—
1388C4⋊C4—2921no—
1389C4⋊C4—2921no—
1390C4⋊C4—2921no—
1391C4⋊C4—2921no—
1392C4⋊C4—1462no—
1393C4⋊C4—1462no—
1394C4⋊C4—1462no—
1395C4⋊C4—1462no—
1396C4⋊C4—1462no—
1397C4⋊C4—1462no—
1398C4⋊C4—1462no—
1399C4⋊C4—1462no—
1400C4⋊C4—1462no—
1401C4⋊C4—1462no—
1402C4⋊C4—1462no—
1403C4⋊C4—1462no—
1404C4⋊C4—1462no—
1405C4⋊C4D4×D7314yes—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—41no—
1417C22⋊C4—2921no—
1418C22⋊C4—2921no—
1419C22⋊C4—2921no—
1420C22⋊C4—2921no—
1421C22⋊C4—2921no—
1422C22⋊C4—2921no—
1423C22⋊C4—2921no—
1424C22⋊C4—2921no—
1425C22⋊C4—2921no—
1426C22⋊C4—2921no—
1427C22⋊C4—734no—
1428C22⋊C4—734no—
1429C22⋊C4—734no—
1430C22⋊C4—1462no—
1431C22⋊C4—1462no—
1432C22⋊C4—1462no—
1433C22⋊C4—1462no—
1434C22⋊C4—1462no—
1435C22⋊C4—1462no—
1436C22⋊C4—1462no—
1437C22⋊C4—1462no—
1438C22⋊C4—1462no—
1439C22⋊C4—1462no—
1440C22⋊C4—1462no—
1441C22⋊C4—1462no—
1442C22⋊C4—1462no—
1443C22⋊C4—1462no—
1444C22⋊C4—1462no—
1445C22⋊C4—1462no—
1446C22⋊C4—1462no—
1447C22⋊C4—1462no—
1448C22⋊C4—1462no—
1449C22⋊C4—1462no—
1450C22⋊C4—1462no—
1451C22⋊C4—1462no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—41no—
1456C42—2921no—
1457C42—734no—
1458C42—1462no—
1459C42—1462no—
1460C42—1462no—
1461C42—1462no—
1462C42—1462no—
1463C42—1462no—
1464C42—1462no—
1465C42—1462no—
1466C42—1462no—
1467C42—1462no—
1468C42—1462no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—2924no—
1483C23—2924no—
1484C23—2924no—
1485C23—2924no—
1486C23—2924no—
1487C23—2924no—
1488C23—732no—
1489C23—732no—
1490C23—732no—
1491C23—732no—
1492C23—732no—
1493C23—732no—
1494C23—1468no—
1495C23—1461no—
1496C23—1461no—
1497C23—1461no—
1498C23—1461no—
1499C23—1461no—
1500C23—1461no—
1501C23—1461no—
1502C23—1461no—
1503C23—1461no—
1504C23—1461no—
1505C23—1461no—
1506C23—1461no—
1507C23—1461no—
1508C23—1461no—
1509C23—1461no—
1510C23—1461no—
1511C23—1461no—
1512C23—1461no—
1513C23—1461no—
1514C23—1461no—
1515C23—1461no—
1516C23—1461no—
1517C23#41×D7312yes—
1518C23C24×D7311yescharacteristic
1519Q8—28no—
1520Q8—2924no—
1521D4—44no—
1522D4—2924no—
1523D4—2924no—
1524D4—2924no—
1525D4—2924no—
1526D4—2924no—
1527D4—2924no—
1528D4—2924no—
1529D4—2924no—
1530D4—1468no—
1531D4—1468no—
1532D4—1468no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—44no—
1567C2×C4—2924no—
1568C2×C4—2924no—
1569C2×C4—2924no—
1570C2×C4—2924no—
1571C2×C4—2924no—
1572C2×C4—2924no—
1573C2×C4—2924no—
1574C2×C4—2924no—
1575C2×C4—2924no—
1576C2×C4—2924no—
1577C2×C4—732no—
1578C2×C4—732no—
1579C2×C4—732no—
1580C2×C4—732no—
1581C2×C4—732no—
1582C2×C4—732no—
1583C2×C4—732no—
1584C2×C4—1468no—
1585C2×C4—1468no—
1586C2×C4—1468no—
1587C2×C4—1468no—
1588C2×C4—1468no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4—1461no—
1593C2×C4—1461no—
1594C2×C4—1461no—
1595C2×C4—1461no—
1596C2×C4—1461no—
1597C2×C4—1461no—
1598C2×C4—1461no—
1599C2×C4—1461no—
1600C2×C4—1461no—
1601C2×C4—1461no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1461no—
1606C2×C4—1461no—
1607C2×C4—1461no—
1608C2×C4—1461no—
1609C2×C4—1461no—
1610C2×C4—1468no—
1611C2×C4—1461no—
1612C2×C4—1461no—
1613C2×C4—1461no—
1614C2×C4—1461no—
1615C2×C4—1461no—
1616C2×C4—1461no—
1617C2×C4—1461no—
1618C2×C4—1461no—
1619C2×C4C2×D4×D7312yes—
1620C2×C4C2×D4×D7312yes—
1621C2×C4C2×D4×D7312yes—
1622C2×C4#41×D7312yes—
1623C2×C4#41×D7312yes—
1624C2×C4#41×D7312yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—29216no—
1640C22—2921no—
1641C22—2921no—
1642C22—2921no—
1643C22—2921no—
1644C22—2921no—
1645C22—2921no—
1646C22—2921no—
1647C22—2921no—
1648C22—2921no—
1649C22—2921no—
1650C22—2921no—
1651C22—2921no—
1652C22—734no—
1653C22—1462no—
1654C22—1462no—
1655C22—1462no—
1656C22—1462no—
1657C22—1462no—
1658C22—1462no—
1659C22—1462no—
1660C22—1462no—
1661C22—1462no—
1662C22—1462no—
1663C22—1462no—
1664C22—1462no—
1665C22—1462no—
1666C22—1462no—
1667C22—1462no—
1668C22C22×D4×D7311yescharacteristic
1669C22C2×#41×D7311yescharacteristic
1670C22C2×#41×D7311yescharacteristic
1671C22C2×#41×D7311yescharacteristic
1672C22C2×#41×D7311yescharacteristic
1673C22H(5,𝔽2)×D7311yescharacteristic
1674C22#1798942411yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—22no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—2921no—
1689C4—2921no—
1690C4—2921no—
1691C4—2921no—
1692C4—2921no—
1693C4—2921no—
1694C4—2921no—
1695C4—734no—
1696C4—1462no—
1697C4—1462no—
1698C4—1462no—
1699C4—1462no—
1700C2—42no—
1701C2—81no—
1702C2—2922no—
1703C2—2922no—
1704C2—2922no—
1705C2—1464no—
1706C2#525×D7311yescharacteristic
1707C2#2262322511yescharacteristic
1708C2#2262335111yescharacteristic
1709C2#546×D7311yescharacteristic
1710C2#2262342011yescharacteristic
1711C2#2262349611yescharacteristic
1712C2#2262354011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2458C2
hypercenter#2458D73
hypocenterC73#34732
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2458

Complements

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

NH ≅ G/Ntype
1. C2×#17989095C2semidirect
2. C2×C4×#11924029C2semidirect
3. #22614130C2semidirect
4. #22614123C2semidirect
5. #22614038C2semidirect
6. #22614031C2semidirect
7. #22613946C2semidirect
8. #22613939C2semidirect
9. #22613838C2semidirect
10. #22613754C2semidirect
11. #22613688C2semidirect
12. #22613602C2semidirect
13. #22613544C2semidirect
14. #22613474C2semidirect
15. #22613400C2semidirect
16. #22613309C2semidirect
17. #22613251C2semidirect
18. #22613213C2semidirect
19. #22613198C2semidirect
20. #22613172C2semidirect
21. #22613145C2semidirect
22. #22612458C2semidirect
23. #22612452C2semidirect
24. #22612443C2semidirect
25. #22612443C2semidirect
26. #22612432C2semidirect
27. #22612418C2semidirect
28. #22612373C2semidirect
29. #22612369C2semidirect
30. C4×C22⋊C4×D73C2semidirect
31. C73×#2458C2semidirect
49. C2×Q8×Dic73C22semidirect
52. C2×C4×D292C22semidirect
57. C2×#14556553C22semidirect
61. C2×#14556551C22semidirect
63. C2×#14556549C22semidirect
64. C2×#14556549C22semidirect
65. C2×#14556549C22semidirect
71. C2×C42×D73C22semidirect
72. C2×C42×D73C22semidirect
73. #17988529C22semidirect
74. #17988529C22semidirect
75. #17988527C22semidirect
77. #17988521C22semidirect
78. #17988521C22semidirect
80. #17988513C22semidirect
81. #17988512C22semidirect
85. #17988509C22semidirect
86. #17988507C22semidirect
87. #17988506C22semidirect
89. #17988505C22semidirect
94. #17988502C22semidirect
95. #17988500C22semidirect
99. #17988496C22semidirect
101. #17988493C22semidirect
102. #17988492C22semidirect
105. #17988487C22semidirect
106. #17988482C22semidirect
107. #17988482C22semidirect
112. #17988478C22semidirect
113. #17988478C22semidirect
114. #17988476C22semidirect
115. #17988475C22semidirect
116. #17988473C22semidirect
117. #17988472C22semidirect
118. #17988471C22semidirect
119. #17988471C22semidirect
120. #17988469C22semidirect
121. #17988468C22semidirect
136. #17988463C22semidirect
137. #17988463C22semidirect
138. #17988463C22semidirect
140. #17988461C22semidirect
141. #17988461C22semidirect
146. #17988458C22semidirect
148. #17988449C22semidirect
150. #17988446C22semidirect
152. C4⋊C4×Dic73C22semidirect
153. #17988438C22semidirect
154. #17988438C22semidirect
155. #17988438C22semidirect
159. C22⋊C4×Dic73C22semidirect
160. C22⋊C4×Dic73C22semidirect
161. C22⋊C4×Dic73C22semidirect
169. #17988434C22semidirect
170. #17988434C22semidirect
171. #17988432C22semidirect
175. C2×C4×Q8×C73C22semidirect
176. #398×C73C22semidirect
179. #393×C73C22semidirect
182. #388×C73C22semidirect
183. #388×C73C22semidirect
184. #388×C73C22semidirect
185. #387×C73C22semidirect
186. #387×C73C22semidirect
247. #14556553D4semidirect
421. C2×D292#41semidirect
445. C22×Dic73#41semidirect
500. C2×C4×D73#41semidirect
552. #11924005#41semidirect
865. #2458D73semidirect
888. C73#34732semidirect
908. C2×C4×Q8C2×D73semidirect
938. #398C2×D73semidirect
959. #393C2×D73semidirect
981. #388C2×D73semidirect
982. #388C2×D73semidirect
983. #388C2×D73semidirect
990. #387C2×D73semidirect
991. #387C2×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179890952
C2×C4×#119240292
#226141302
#226141232
#226140382
#226140312
#226139462
#226139392
#226138382
#226137542
#226136882
#226136022
#226135442
#226134742
#226134002
#226133092
#226132512
#226132132
#226131982
#226131722
#226131452
#226124582
#226124522
#226124432
#226124322
#226124182
#226123732
#226123692
C4×C22⋊C4×D732
C73×#24582
#3473273