Finite Group Databasebeta

← #2554×D73 #33256057

Subgroups — #2554×D73 #33256057

Order 18688.

3158 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#126×D73C211yesmaximal, characteristic, complemented
2C2×#123×D73C211yesmaximal, characteristic, complemented
3#22614998C211yesmaximal, characteristic, complemented
4#22614997C211yesmaximal, characteristic, complemented
5#22614996C211yesmaximal, characteristic, complemented
6#22614995C211yesmaximal, characteristic, complemented
7#22614994C211yesmaximal, characteristic, complemented
8#22614993C211yesmaximal, characteristic, complemented
9#22614992C211yesmaximal, characteristic, complemented
10#22614991C211yesmaximal, characteristic, complemented
11#22614990C211yesmaximal, characteristic, complemented
12#22614989C211yesmaximal, characteristic, complemented
13#22614988C211yesmaximal, characteristic, complemented
14#22614987C211yesmaximal, characteristic, complemented
15#22614986C211yesmaximal, characteristic, complemented
16#22614985C211yesmaximal, characteristic, complemented
17#22614984C211yesmaximal, characteristic, complemented
18#398×D73C211yesmaximal, characteristic, complemented
19#396×D73C211yesmaximal, characteristic, complemented
20#394×D73C211yesmaximal, characteristic, complemented
21#392×D73C211yesmaximal, characteristic
22#390×D73C211yesmaximal, characteristic, complemented
23#390×D73C211yesmaximal, characteristic, complemented
24#390×D73C211yesmaximal, characteristic, complemented
25#388×D73C211yesmaximal, characteristic, complemented
26#388×D73C211yesmaximal, characteristic, complemented
27#388×D73C211yesmaximal, characteristic, complemented
28#386×D73C211yesmaximal, characteristic, complemented
29C4×C4⋊C4×D73C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D73C211yesmaximal, characteristic, complemented
31C73×#2554C211yesmaximal, characteristic, complemented
32C22×D4×D73C2211yescharacteristic
33C22×D4×D73C2211yescharacteristic
34C22×D4×D73C2211yescharacteristic
35C23×C4×D73C2211yescharacteristic
36C2×#14556586C2211yescharacteristic, complemented
37C2×#14556586C2211yescharacteristic, complemented
38C2×#14556586C2211yescharacteristic, complemented
39C2×#14556585C2211yescharacteristic, complemented
40C2×#14556584C2211yescharacteristic, complemented
41C2×#14556584C2211yescharacteristic, complemented
42C2×#14556584C2211yescharacteristic, complemented
43#126×D73—28no—
44C2×#14556576C2211yescharacteristic, complemented
45C2×#14556576C2211yescharacteristic, complemented
46C2×#14556575C2211yescharacteristic, complemented
47C2×#14556574C2211yescharacteristic, complemented
48C2×#14556573C2211yescharacteristic, complemented
49C2×#14556573C2211yescharacteristic, complemented
50C2×#14556572C2211yescharacteristic, complemented
51#123×D73—28no—
52C2×C4⋊C4×D73C2211yescharacteristic
53C2×C4⋊C4×D73C2211yescharacteristic
54C2×C4⋊C4×D73C2211yescharacteristic
55C2×C4⋊C4×D73C2211yescharacteristic
56C2×C4⋊C4×D73C2211yescharacteristic
57C2×C4⋊C4×D73C2211yescharacteristic
58C2×C4⋊C4×D73C2211yescharacteristic
59C2×C22⋊C4×D73C2211yescharacteristic
60C2×C22⋊C4×D73C2211yescharacteristic
61C2×C22⋊C4×D73C2211yescharacteristic
62C2×C22⋊C4×D73C2211yescharacteristic
63C2×C22⋊C4×D73C2211yescharacteristic
64C2×C22⋊C4×D73C2211yescharacteristic
65C2×C22⋊C4×D73C2211yescharacteristic
66C2×C22⋊C4×D73C2211yescharacteristic
67C2×C22⋊C4×D73C2211yescharacteristic
68C2×C22⋊C4×D73C2211yescharacteristic
69C2×C22⋊C4×D73C2211yescharacteristic
70C2×C22⋊C4×D73C2211yescharacteristic
71C2×C22⋊C4×D73C2211yescharacteristic
72C2×C22⋊C4×D73C2211yescharacteristic
73C2×C42×D73C2211yescharacteristic
74C2×C42×D73C2211yescharacteristic
75C2×C42×D73C2211yescharacteristic
76C2×C42×D73C2211yescharacteristic
77#17988521C2211yescharacteristic, complemented
78#17988521C2211yescharacteristic, complemented
79#17988520C2211yescharacteristic, complemented
80#17988520C2211yescharacteristic, complemented
81#17988519C2211yescharacteristic, complemented
82#17988518C2211yescharacteristic, complemented
83#17988517C2211yescharacteristic, complemented
84#17988511C2211yescharacteristic, complemented
85#17988510C2211yescharacteristic, complemented
86#17988510C2211yescharacteristic, complemented
87#17988510C2211yescharacteristic, complemented
88#17988509C2211yescharacteristic, complemented
89#17988509C2211yescharacteristic, complemented
90#17988509C2211yescharacteristic, complemented
91#17988505C2211yescharacteristic, complemented
92#17988504C2211yescharacteristic, complemented
93#17988503C2211yescharacteristic, complemented
94#17988503C2211yescharacteristic, complemented
95#17988502C2211yescharacteristic, complemented
96#17988502C2211yescharacteristic, complemented
97#17988501C2211yescharacteristic, complemented
98#17988497C2211yescharacteristic
99#17988496C2211yescharacteristic
100#17988496C2211yescharacteristic
101#17988496C2211yescharacteristic
102#17988495C2211yescharacteristic
103#17988495C2211yescharacteristic
104#17988495C2211yescharacteristic
105#17988490C2211yescharacteristic, complemented
106#17988490C2211yescharacteristic, complemented
107#17988490C2211yescharacteristic, complemented
108#17988489C2211yescharacteristic, complemented
109#17988489C2211yescharacteristic, complemented
110#17988489C2211yescharacteristic, complemented
111#17988488C2211yescharacteristic, complemented
112#17988488C2211yescharacteristic, complemented
113#17988488C2211yescharacteristic, complemented
114#17988487C2211yescharacteristic, complemented
115#17988487C2211yescharacteristic, complemented
116#17988487C2211yescharacteristic, complemented
117#17988487C2211yescharacteristic, complemented
118#17988487C2211yescharacteristic, complemented
119#17988487C2211yescharacteristic, complemented
120#17988487C2211yescharacteristic, complemented
121#17988487C2211yescharacteristic, complemented
122#17988487C2211yescharacteristic, complemented
123#17988487C2211yescharacteristic, complemented
124#17988487C2211yescharacteristic, complemented
125#17988487C2211yescharacteristic, complemented
126#17988481C2211yescharacteristic, complemented
127#17988481C2211yescharacteristic, complemented
128#17988481C2211yescharacteristic, complemented
129#17988480C2211yescharacteristic, complemented
130#17988480C2211yescharacteristic, complemented
131#17988480C2211yescharacteristic, complemented
132#17988479C2211yescharacteristic, complemented
133#17988479C2211yescharacteristic, complemented
134#17988479C2211yescharacteristic, complemented
135#17988478C2211yescharacteristic, complemented
136#17988478C2211yescharacteristic, complemented
137#17988478C2211yescharacteristic, complemented
138#17988477C2211yescharacteristic, complemented
139#17988477C2211yescharacteristic, complemented
140#17988477C2211yescharacteristic, complemented
141#17988476C2211yescharacteristic, complemented
142#17988476C2211yescharacteristic, complemented
143#17988476C2211yescharacteristic, complemented
144#17988475C2211yescharacteristic, complemented
145#17988475C2211yescharacteristic, complemented
146#17988475C2211yescharacteristic, complemented
147#17988467C2211yescharacteristic, complemented
148#17988466C2211yescharacteristic, complemented
149#17988465C2211yescharacteristic, complemented
150#17988465C2211yescharacteristic, complemented
151#17988464C2211yescharacteristic, complemented
152#17988463C2211yescharacteristic, complemented
153#17988463C2211yescharacteristic, complemented
154C4⋊C4×Dic73C2211yescharacteristic, complemented
155C4⋊C4×Dic73C2211yescharacteristic, complemented
156C4×#11924007C2211yescharacteristic, complemented
157C4×#11924007C2211yescharacteristic, complemented
158C4×C4⋊Dic73C2211yescharacteristic, complemented
159#17988438C2211yescharacteristic, complemented
160#17988438C2211yescharacteristic, complemented
161C22⋊C4×Dic73C2211yescharacteristic, complemented
162C22⋊C4×Dic73C2211yescharacteristic, complemented
163C4×#11924005C2211yescharacteristic, complemented
164C4×#11924005C2211yescharacteristic, complemented
165C4×C22⋊Dic73C2211yescharacteristic, complemented
166#17988434C2211yescharacteristic, complemented
167#17988434C2211yescharacteristic, complemented
168#95×D73C2211yescharacteristic
169#95×D73C2211yescharacteristic
170#95×D73C2211yescharacteristic
171#95×D73C2211yescharacteristic
172#95×D73C2211yescharacteristic
173#95×D73C2211yescharacteristic
174C2×#126×C73C2211yescharacteristic, complemented
175C2×#123×C73C2211yescharacteristic, complemented
176#398×C73C2211yescharacteristic, complemented
177#396×C73C2211yescharacteristic, complemented
178#394×C73C2211yescharacteristic, complemented
179#392×C73C2211yescharacteristic
180#390×C73C2211yescharacteristic, complemented
181#390×C73C2211yescharacteristic, complemented
182#390×C73C2211yescharacteristic, complemented
183#388×C73C2211yescharacteristic, complemented
184#388×C73C2211yescharacteristic, complemented
185#388×C73C2211yescharacteristic, complemented
186#386×C73C2211yescharacteristic, complemented
187C4×C4⋊C4×C73C2211yescharacteristic, complemented
188C4×C22⋊C4×C73C2211yescharacteristic, complemented
189C24×D73C2311yescharacteristic
190C24×D73C2311yescharacteristic
191C24×D73C2311yescharacteristic
192C22×D292C2311yescharacteristic
193C22×D292C2311yescharacteristic
194C22×D292C2311yescharacteristic
195C22×C22⋊D73C2311yescharacteristic
196C22×C22⋊D73C2311yescharacteristic
197C22×C22⋊D73C2311yescharacteristic
198C22×C22⋊D73C2311yescharacteristic
199C22×C22⋊D73C2311yescharacteristic
200C22×C22⋊D73C2311yescharacteristic
201C2×D4×D73—24no—
202C2×D4×D73—24no—
203C2×D4×D73—24no—
204C2×D4×D73—24no—
205C2×D4×D73—24no—
206C2×D4×D73—42no—
207C2×D4×D73—42no—
208C2×D4×D73—42no—
209C2×D4×D73—42no—
210C23×Dic73C2311yescharacteristic
211C22×C4×D73—24no—
212C22×C4×D73—24no—
213C22×C4×D73—42no—
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
227C22×C4×D73C2311yescharacteristic
228#14556586—24no—
229#14556586—24no—
230#14556586—24no—
231#14556585—24no—
232#14556584—24no—
233#14556584—24no—
234#14556584—24no—
235#14556576—24no—
236#14556576—24no—
237#14556575—24no—
238#14556574—24no—
239#14556573—24no—
240#14556573—24no—
241#14556572—24no—
242C2×C4⋊Dic73C2311yescharacteristic
243C2×C4⋊Dic73C2311yescharacteristic
244C2×C4⋊Dic73C2311yescharacteristic
245C2×C4⋊Dic73C2311yescharacteristic
246C2×C4⋊Dic73C2311yescharacteristic
247C2×C4⋊Dic73C2311yescharacteristic
248C2×C4⋊Dic73C2311yescharacteristic
249C2×#11924007C2311yescharacteristic
250C2×#11924007C2311yescharacteristic
251C2×#11924007C2311yescharacteristic
252C2×#11924007C2311yescharacteristic
253C2×#11924007C2311yescharacteristic
254C2×#11924007C2311yescharacteristic
255C2×#11924007C2311yescharacteristic
256C2×#11924007C2311yescharacteristic
257C2×#11924007C2311yescharacteristic
258C2×#11924007C2311yescharacteristic
259C2×#11924007C2311yescharacteristic
260C2×#11924007C2311yescharacteristic
261C2×#11924007C2311yescharacteristic
262C2×#11924007C2311yescharacteristic
263C4⋊C4×D73—24no—
264C4⋊C4×D73—24no—
265C4⋊C4×D73—24no—
266C4⋊C4×D73—24no—
267C4⋊C4×D73—42no—
268C4⋊C4×D73—42no—
269C4⋊C4×D73D418yescomplemented
270C2×C22⋊Dic73C2311yescharacteristic
271C2×C22⋊Dic73C2311yescharacteristic
272C2×C22⋊Dic73C2311yescharacteristic
273C2×C22⋊Dic73C2311yescharacteristic
274C2×C22⋊Dic73C2311yescharacteristic
275C2×C22⋊Dic73C2311yescharacteristic
276C2×C22⋊Dic73C2311yescharacteristic
277C2×C22⋊Dic73C2311yescharacteristic
278C2×C22⋊Dic73C2311yescharacteristic
279C2×C22⋊Dic73C2311yescharacteristic
280C2×C22⋊Dic73C2311yescharacteristic
281C2×C22⋊Dic73C2311yescharacteristic
282C2×C22⋊Dic73C2311yescharacteristic
283C2×C22⋊Dic73C2311yescharacteristic
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
309C2×#11924005C2311yescharacteristic
310C2×#11924005C2311yescharacteristic
311C2×#11924005C2311yescharacteristic
312C22⋊C4×D73—24no—
313C22⋊C4×D73—24no—
314C22⋊C4×D73—24no—
315C22⋊C4×D73—24no—
316C22⋊C4×D73—24no—
317C22⋊C4×D73—24no—
318C22⋊C4×D73—24no—
319C22⋊C4×D73—24no—
320C22⋊C4×D73—24no—
321C22⋊C4×D73—24no—
322C22⋊C4×D73—24no—
323C22⋊C4×D73—42no—
324C22⋊C4×D73—42no—
325C22⋊C4×D73—42no—
326C2×C4×Dic73C2311yescharacteristic
327C2×C4×Dic73C2311yescharacteristic
328C2×C4×Dic73C2311yescharacteristic
329C2×C4×Dic73C2311yescharacteristic
330C2×C4×Dic73C2311yescharacteristic
331C2×C4×Dic73C2311yescharacteristic
332C2×C4×Dic73C2311yescharacteristic
333C2×C4×Dic73C2311yescharacteristic
334C2×C4×Dic73C2311yescharacteristic
335C2×C4×Dic73C2311yescharacteristic
336C2×C4×Dic73C2311yescharacteristic
337C2×C4×Dic73C2311yescharacteristic
338C42×D73—24no—
339C42×D73—24no—
340C42×D73—42no—
341C42×D73—42no—
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×D4×C73C2311yescharacteristic
361C22×D4×C73C2311yescharacteristic
362C22×D4×C73C2311yescharacteristic
363C23×C4×C73C2311yescharacteristic
364#126×C73—24no—
365#123×C73—24no—
366C2×C4⋊C4×C73C2311yescharacteristic
367C2×C4⋊C4×C73C2311yescharacteristic
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×C22⋊C4×C73C2311yescharacteristic
387C2×C42×C73C2311yescharacteristic
388C2×C42×C73C2311yescharacteristic
389C2×C42×C73C2311yescharacteristic
390C2×C42×C73C2311yescharacteristic
391#95×C73C2311yescharacteristic
392#95×C73C2311yescharacteristic
393#95×C73C2311yescharacteristic
394#95×C73C2311yescharacteristic
395#95×C73C2311yescharacteristic
396#95×C73C2311yescharacteristic
397C23×D73—22no—
398C23×D73—22no—
399C23×D73—22no—
400C23×D73—22no—
401C23×D73—22no—
402C23×D73—22no—
403C23×D73—22no—
404C23×D73—22no—
405C23×D73—22no—
406C23×D73—22no—
407C23×D73—22no—
408C23×D73—22no—
409C23×D73—22no—
410C23×D73—22no—
411C23×D73—22no—
412C23×D73—22no—
413C23×D73—22no—
414C23×D73—22no—
415C23×D73—22no—
416C23×D73—22no—
417C23×D73#4114yes—
418C23×D73C2411yescharacteristic
419C23×D73C2411yescharacteristic
420C23×D73C2411yescharacteristic
421C23×D73C2411yescharacteristic
422C2×D292—22no—
423C2×D292—22no—
424C2×D292—22no—
425C2×D292—22no—
426C2×D292—22no—
427C2×D292—41no—
428C2×D292—41no—
429C2×D292—41no—
430C2×D292—41no—
431C2×C22⋊D73—22no—
432C2×C22⋊D73—22no—
433C2×C22⋊D73—22no—
434C2×C22⋊D73—22no—
435C2×C22⋊D73—22no—
436C2×C22⋊D73—22no—
437C2×C22⋊D73—22no—
438C2×C22⋊D73—22no—
439C2×C22⋊D73—22no—
440C2×C22⋊D73—22no—
441C2×C22⋊D73—41no—
442C2×C22⋊D73—41no—
443C2×C22⋊D73—41no—
444C2×C22⋊D73—41no—
445C2×C22⋊D73—41no—
446C2×C22⋊D73—41no—
447C2×C22⋊D73—41no—
448C2×C22⋊D73—41no—
449D4×D73—416no—
450D4×D73—416no—
451D4×D73—416no—
452C22×Dic73—22no—
453C22×Dic73—22no—
454C22×Dic73—41no—
455C22×Dic73C2411yescharacteristic
456C22×Dic73C2411yescharacteristic
457C22×Dic73C2411yescharacteristic
458C22×Dic73C2411yescharacteristic
459C22×Dic73C2411yescharacteristic
460C22×Dic73C2411yescharacteristic
461C22×Dic73C2411yescharacteristic
462C22×Dic73C2411yescharacteristic
463C22×Dic73C2411yescharacteristic
464C22×Dic73C2411yescharacteristic
465C22×Dic73C2411yescharacteristic
466C22×Dic73C2411yescharacteristic
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—22no—
490C2×C4×D73—22no—
491C2×C4×D73—22no—
492C2×C4×D73—22no—
493C2×C4×D73—22no—
494C2×C4×D73—22no—
495C2×C4×D73—22no—
496C2×C4×D73—22no—
497C2×C4×D73—22no—
498C2×C4×D73—22no—
499C2×C4×D73—22no—
500C2×C4×D73—22no—
501C2×C4×D73—416no—
502C2×C4×D73—41no—
503C2×C4×D73—41no—
504C2×C4×D73C2×D414yes—
505C2×C4×D73C2×D414yes—
506C2×C4×D73C2×D414yes—
507C2×C4×D73#4114yes—
508C2×C4×D73#4114yes—
509C2×C4×D73#4114yes—
510C4⋊Dic73—22no—
511C4⋊Dic73—22no—
512C4⋊Dic73—22no—
513C4⋊Dic73—22no—
514C4⋊Dic73—41no—
515C4⋊Dic73—41no—
516C4⋊Dic73C2×D414yescomplemented
517#11924007—22no—
518#11924007—22no—
519#11924007—22no—
520#11924007—22no—
521#11924007—22no—
522#11924007—22no—
523#11924007—22no—
524#11924007—22no—
525#11924007—41no—
526#11924007—41no—
527#11924007—41no—
528#11924007—41no—
529#11924007C2×D414yescomplemented
530#11924007C2×D414yescomplemented
531C22⋊Dic73—22no—
532C22⋊Dic73—22no—
533C22⋊Dic73—22no—
534C22⋊Dic73—22no—
535C22⋊Dic73—22no—
536C22⋊Dic73—22no—
537C22⋊Dic73—22no—
538C22⋊Dic73—22no—
539C22⋊Dic73—22no—
540C22⋊Dic73—22no—
541C22⋊Dic73—22no—
542C22⋊Dic73—41no—
543C22⋊Dic73—41no—
544C22⋊Dic73—41no—
545#11924005—22no—
546#11924005—22no—
547#11924005—22no—
548#11924005—22no—
549#11924005—22no—
550#11924005—22no—
551#11924005—22no—
552#11924005—22no—
553#11924005—22no—
554#11924005—22no—
555#11924005—22no—
556#11924005—22no—
557#11924005—22no—
558#11924005—22no—
559#11924005—22no—
560#11924005—22no—
561#11924005—22no—
562#11924005—22no—
563#11924005—22no—
564#11924005—22no—
565#11924005—22no—
566#11924005—22no—
567#11924005—41no—
568#11924005—41no—
569#11924005—41no—
570#11924005—41no—
571#11924005—41no—
572#11924005—41no—
573C4×Dic73—22no—
574C4×Dic73—22no—
575C4×Dic73—22no—
576C4×Dic73—22no—
577C4×Dic73—22no—
578C4×Dic73—22no—
579C4×Dic73—41no—
580C4×Dic73—41no—
581C4×Dic73—41no—
582C4×Dic73—41no—
583C4×Dic73—41no—
584C4×Dic73—41no—
585C24×C73C2411yescharacteristic
586C24×C73C2411yescharacteristic
587C24×C73C2411yescharacteristic
588C2×D4×C73—22no—
589C2×D4×C73—22no—
590C2×D4×C73—22no—
591C2×D4×C73—22no—
592C2×D4×C73—22no—
593C2×D4×C73—41no—
594C2×D4×C73—41no—
595C2×D4×C73—41no—
596C2×D4×C73—41no—
597C22×C4×C73—22no—
598C22×C4×C73—22no—
599C22×C4×C73—41no—
600C22×C4×C73C2411yescharacteristic
601C22×C4×C73C2411yescharacteristic
602C22×C4×C73C2411yescharacteristic
603C22×C4×C73C2411yescharacteristic
604C22×C4×C73C2411yescharacteristic
605C22×C4×C73C2411yescharacteristic
606C22×C4×C73C2411yescharacteristic
607C22×C4×C73C2411yescharacteristic
608C22×C4×C73C2411yescharacteristic
609C22×C4×C73C2411yescharacteristic
610C22×C4×C73C2411yescharacteristic
611C22×C4×C73C2411yescharacteristic
612C4⋊C4×C73—22no—
613C4⋊C4×C73—22no—
614C4⋊C4×C73—22no—
615C4⋊C4×C73—22no—
616C4⋊C4×C73—41no—
617C4⋊C4×C73—41no—
618C4⋊C4×C73C2×D414yescomplemented
619C22⋊C4×C73—22no—
620C22⋊C4×C73—22no—
621C22⋊C4×C73—22no—
622C22⋊C4×C73—22no—
623C22⋊C4×C73—22no—
624C22⋊C4×C73—22no—
625C22⋊C4×C73—22no—
626C22⋊C4×C73—22no—
627C22⋊C4×C73—22no—
628C22⋊C4×C73—22no—
629C22⋊C4×C73—22no—
630C22⋊C4×C73—41no—
631C22⋊C4×C73—41no—
632C22⋊C4×C73—41no—
633C42×C73—22no—
634C42×C73—22no—
635C42×C73—41no—
636C42×C73—41no—
637C23×C73—21no—
638C23×C73—21no—
639C23×C73—21no—
640C23×C73—21no—
641C23×C73—21no—
642C23×C73—21no—
643C23×C73—21no—
644C23×C73—21no—
645C23×C73—21no—
646C23×C73—21no—
647C23×C73—21no—
648C23×C73—21no—
649C23×C73—21no—
650C23×C73—21no—
651C23×C73—21no—
652C23×C73—21no—
653C23×C73—21no—
654C23×C73—21no—
655C23×C73—21no—
656C23×C73—21no—
657C23×C73C2×#4112yes—
658C23×C73C2511yescharacteristic
659C22×D73—21no—
660C22×D73—21no—
661C22×D73—21no—
662C22×D73—21no—
663C22×D73—21no—
664C22×D73—21no—
665C22×D73—28no—
666C22×D73—28no—
667C22×D73—28no—
668C22×D73—21no—
669C22×D73—21no—
670C22×D73—21no—
671C22×D73—21no—
672C22×D73—21no—
673C22×D73—21no—
674C22×D73—21no—
675C22×D73—21no—
676C22×D73—21no—
677C22×D73—21no—
678C22×D73—21no—
679C22×D73—21no—
680C22×D73—21no—
681C22×D73—21no—
682C22×D73—44no—
683C22×D73—44no—
684C22×D73—44no—
685C22×D73—44no—
686C22×D73—44no—
687C22×D73—44no—
688C22×D73—44no—
689C22×D73—44no—
690C22×D73—44no—
691C22×D73—44no—
692C22×D73—44no—
693C22×D73—44no—
694C22×D73—44no—
695C22×D73—44no—
696C22×D73—44no—
697C22×D73—44no—
698C22×D73—44no—
699C22×D73—44no—
700C22×D73C22×D412yes—
701C22×D73C2×#4112yes—
702C22×D73C2×#4112yes—
703C22×D73C2×#4112yes—
704C22×D73C2×#4112yes—
705C22×D73C2×#4112yes—
706C22×D73H(5,𝔽2)12yes—
707C22×D73H(5,𝔽2)12yes—
708D4×C73—44no—
709D4×C73—44no—
710D4×C73—44no—
711C2×C4×C73—21no—
712C2×C4×C73—21no—
713C2×C4×C73—21no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—44no—
742C2×C4×C73C22×D412yes—
743C2×C4×C73C22×D412yes—
744C2×C4×C73C22×D412yes—
745C2×C4×C73C2×#4112yes—
746C2×C4×C73C2×#4112yes—
747C2×C4×C73C2×#4112yes—
748C22⋊D73—44no—
749C22⋊D73—44no—
750C22⋊D73—44no—
751C22⋊D73—44no—
752C22⋊D73—44no—
753C22⋊D73—44no—
754C2×Dic73—21no—
755C2×Dic73—21no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—21no—
772C2×Dic73—21no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—21no—
782C2×Dic73—21no—
783C2×Dic73—21no—
784C2×Dic73—44no—
785C2×Dic73C22×D412yes—
786C2×Dic73C22×D412yes—
787C2×Dic73C22×D412yes—
788C2×Dic73C2×#4112yes—
789C2×Dic73C2×#4112yes—
790C2×Dic73C2×#4112yes—
791D292—44no—
792D292—44no—
793D292—44no—
794C4×D73—28no—
795C4×D73—28no—
796C4×D73—28no—
797C4×D73—28no—
798C4×D73—28no—
799C4×D73—28no—
800C4×D73—44no—
801C4×D73—44no—
802C4×D73—44no—
803C4×D73—44no—
804C4×D73—44no—
805C4×D73—44no—
806C4×D73—44no—
807C4×D73—44no—
808C22×C73—22no—
809C22×C73—22no—
810C22×C73—22no—
811C22×C73—41no—
812C22×C73—41no—
813C22×C73—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73C23×D411yescharacteristic
830C22×C73C22×#4111yescharacteristic
831C22×C73C22×#4111yescharacteristic
832C22×C73C22×#4111yescharacteristic
833C22×C73C22×#4111yescharacteristic
834C22×C73C2×H(5,𝔽2)11yescharacteristic
835C22×C73C2×H(5,𝔽2)11yescharacteristic
836C2×D73—22no—
837C2×D73—22no—
838C2×D73—22no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—416no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—41no—
857C2×D73—41no—
858C2×D73—88no—
859C2×D73—88no—
860C2×D73#52914yes—
861C2×D73#53214yes—
862C2×D73#53814yes—
863C2×D73#54614yes—
864C2×D73#55014yes—
865C2×D73#55114yes—
866C2×D73#55314yes—
867C4×C73—22no—
868C4×C73—22no—
869C4×C73—22no—
870C4×C73—22no—
871C4×C73—22no—
872C4×C73—22no—
873C4×C73—41no—
874C4×C73—41no—
875C4×C73—41no—
876C4×C73—41no—
877C4×C73—41no—
878C4×C73—41no—
879Dic73—22no—
880Dic73—22no—
881Dic73—22no—
882Dic73—22no—
883Dic73—22no—
884Dic73—22no—
885Dic73—41no—
886Dic73—41no—
887Dic73—41no—
888Dic73—41no—
889Dic73—41no—
890Dic73—41no—
891C2×#2554—731nomaximal, Sylow
892C2×C73—42no—
893C2×C73—81no—
894C2×C73—81no—
895C2×C73C2×#52911yescharacteristic
896C2×C73C2×#53211yescharacteristic
897C2×C73C2×#53811yescharacteristic
898C2×C73C2×#54611yescharacteristic
899C2×C73C2×#55011yescharacteristic
900C2×C73C2×#55111yescharacteristic
901C2×C73C2×#55311yescharacteristic
902D73—42no—
903D73—81no—
904D73—81no—
905D73#255418yesdirect product factor
906C22×#126—731no—
907C22×#123—731no—
908#2554—731no—
909#2554—731no—
910#2554—731no—
911#2554—731no—
912#2554—731no—
913#2554—731no—
914#2554—731no—
915#2554—731no—
916#2554—731no—
917#2554—731no—
918#2554—731no—
919#2554—731no—
920#2554—731no—
921#2554—731no—
922#2554—731no—
923#2554D7311yescharacteristic, direct product factor
924C2×#398—731no—
925C2×#396—731no—
926C2×#394—731no—
927C2×#392—731no—
928C2×#390—731no—
929C2×#390—731no—
930C2×#390—731no—
931C2×#388—731no—
932C2×#388—731no—
933C2×#388—731no—
934C2×#386—731no—
935C2×C4×C4⋊C4—731no—
936C2×C4×C22⋊C4—731no—
937C73C2×#255411yescharacteristic, complemented, Sylow
938C23×D4—731no—
939C23×D4—731no—
940C23×D4—731no—
941C24×C4—731no—
942C2×#126—731no—
943C2×#126—731no—
944C2×#126—731no—
945C2×#126—731no—
946C2×#126—731no—
947C2×#126—731no—
948C2×#126—731no—
949C2×#126—1468no—
950C2×#126C2×D7311yescharacteristic, complemented
951C2×#123—731no—
952C2×#123—731no—
953C2×#123—731no—
954C2×#123—731no—
955C2×#123—731no—
956C2×#123—731no—
957C2×#123—731no—
958C2×#123—1468no—
959C2×#123C2×D7311yescharacteristic, complemented
960C22×C4⋊C4—731no—
961C22×C4⋊C4—731no—
962C22×C4⋊C4—731no—
963C22×C4⋊C4—731no—
964C22×C4⋊C4—731no—
965C22×C4⋊C4—731no—
966C22×C4⋊C4—731no—
967C22×C22⋊C4—731no—
968C22×C22⋊C4—731no—
969C22×C22⋊C4—731no—
970C22×C22⋊C4—731no—
971C22×C22⋊C4—731no—
972C22×C22⋊C4—731no—
973C22×C22⋊C4—731no—
974C22×C22⋊C4—731no—
975C22×C22⋊C4—731no—
976C22×C22⋊C4—731no—
977C22×C22⋊C4—731no—
978C22×C22⋊C4—731no—
979C22×C22⋊C4—731no—
980C22×C22⋊C4—731no—
981C22×C42—731no—
982C22×C42—731no—
983C22×C42—731no—
984C22×C42—731no—
985#398—731no—
986#398—731no—
987#398—731no—
988#398—731no—
989#398—731no—
990#398—731no—
991#398—731no—
992#398C2×D7311yescharacteristic, complemented
993#396—731no—
994#396—731no—
995#396—731no—
996#396—731no—
997#396—731no—
998#396—731no—
999#396—731no—
1000#396C2×D7311yescharacteristic, complemented
1001#394—731no—
1002#394—731no—
1003#394—731no—
1004#394—731no—
1005#394—731no—
1006#394—731no—
1007#394—731no—
1008#394C2×D7311yescharacteristic, complemented
1009#392—731no—
1010#392—731no—
1011#392—731no—
1012#392—731no—
1013#392—731no—
1014#392—731no—
1015#392—731no—
1016#392C2×D7311yescharacteristic
1017#390—731no—
1018#390—731no—
1019#390—731no—
1020#390—731no—
1021#390—731no—
1022#390—731no—
1023#390—731no—
1024#390—731no—
1025#390—731no—
1026#390—731no—
1027#390—731no—
1028#390—731no—
1029#390—731no—
1030#390—731no—
1031#390—731no—
1032#390—731no—
1033#390—731no—
1034#390—731no—
1035#390—731no—
1036#390—731no—
1037#390—731no—
1038#390C2×D7311yescharacteristic, complemented
1039#390C2×D7311yescharacteristic, complemented
1040#390C2×D7311yescharacteristic, complemented
1041#388—731no—
1042#388—731no—
1043#388—731no—
1044#388—731no—
1045#388—731no—
1046#388—731no—
1047#388—731no—
1048#388—731no—
1049#388—731no—
1050#388—731no—
1051#388—731no—
1052#388—731no—
1053#388—731no—
1054#388—731no—
1055#388—731no—
1056#388—731no—
1057#388—731no—
1058#388—731no—
1059#388—731no—
1060#388—731no—
1061#388—731no—
1062#388C2×D7311yescharacteristic, complemented
1063#388C2×D7311yescharacteristic, complemented
1064#388C2×D7311yescharacteristic, complemented
1065#386—731no—
1066#386—731no—
1067#386—731no—
1068#386—731no—
1069#386—731no—
1070#386—731no—
1071#386—731no—
1072#386C2×D7311yescharacteristic, complemented
1073C4×C4⋊C4—731no—
1074C4×C4⋊C4—731no—
1075C4×C4⋊C4—731no—
1076C4×C4⋊C4—731no—
1077C4×C4⋊C4—731no—
1078C4×C4⋊C4—731no—
1079C4×C4⋊C4—731no—
1080C4×C4⋊C4C2×D7311yescharacteristic, complemented
1081C4×C22⋊C4—731no—
1082C4×C22⋊C4—731no—
1083C4×C22⋊C4—731no—
1084C4×C22⋊C4—731no—
1085C4×C22⋊C4—731no—
1086C4×C22⋊C4—731no—
1087C4×C22⋊C4—731no—
1088C4×C22⋊C4C2×D7311yescharacteristic, complemented
1089C2×#95—731no—
1090C2×#95—731no—
1091C2×#95—731no—
1092C2×#95—731no—
1093C2×#95—731no—
1094C2×#95—731no—
1095C25—731no—
1096C25—731no—
1097C25—731no—
1098C22×D4—2922no—
1099C22×D4—2922no—
1100C22×D4—2922no—
1101C22×D4—2922no—
1102C22×D4—731no—
1103C22×D4—731no—
1104C22×D4—731no—
1105C22×D4—731no—
1106C22×D4—731no—
1107C22×D4—731no—
1108C22×D4—731no—
1109C22×D4—731no—
1110C22×D4—731no—
1111C22×D4—1464no—
1112C22×D4—1464no—
1113C22×D4—1464no—
1114C22×D4—1464no—
1115C22×D4—1464no—
1116C22×D4C22×D7311yescharacteristic
1117C22×D4C22×D7311yescharacteristic
1118C22×D4C22×D7311yescharacteristic
1119C23×C4—2922no—
1120C23×C4—731no—
1121C23×C4—731no—
1122C23×C4—731no—
1123C23×C4—731no—
1124C23×C4—731no—
1125C23×C4—731no—
1126C23×C4—731no—
1127C23×C4—731no—
1128C23×C4—731no—
1129C23×C4—731no—
1130C23×C4—731no—
1131C23×C4—731no—
1132C23×C4—731no—
1133C23×C4—731no—
1134C23×C4—731no—
1135C23×C4—1464no—
1136C23×C4—1464no—
1137C23×C4C22×D7311yescharacteristic
1138#126—24no—
1139#126—1464no—
1140#126—1464no—
1141#126—1464no—
1142#126—1464no—
1143#126—1464no—
1144#126—1464no—
1145#126—1464no—
1146#123—24no—
1147#123—1464no—
1148#123—1464no—
1149#123—1464no—
1150#123—1464no—
1151#123—1464no—
1152#123—1464no—
1153#123—1464no—
1154C2×C4⋊C4—2922no—
1155C2×C4⋊C4—2922no—
1156C2×C4⋊C4—731no—
1157C2×C4⋊C4—731no—
1158C2×C4⋊C4—731no—
1159C2×C4⋊C4—731no—
1160C2×C4⋊C4—731no—
1161C2×C4⋊C4—731no—
1162C2×C4⋊C4—731no—
1163C2×C4⋊C4—731no—
1164C2×C4⋊C4—731no—
1165C2×C4⋊C4—738no—
1166C2×C4⋊C4—731no—
1167C2×C4⋊C4—731no—
1168C2×C4⋊C4—731no—
1169C2×C4⋊C4—731no—
1170C2×C4⋊C4—731no—
1171C2×C4⋊C4—731no—
1172C2×C4⋊C4—731no—
1173C2×C4⋊C4—731no—
1174C2×C4⋊C4—731no—
1175C2×C4⋊C4—731no—
1176C2×C4⋊C4—731no—
1177C2×C4⋊C4—731no—
1178C2×C4⋊C4—1464no—
1179C2×C4⋊C4—1464no—
1180C2×C4⋊C4—1464no—
1181C2×C4⋊C4—1464no—
1182C2×C4⋊C4C22×D7311yescharacteristic
1183C2×C4⋊C4C22×D7311yescharacteristic
1184C2×C4⋊C4C22×D7311yescharacteristic
1185C2×C4⋊C4C22×D7311yescharacteristic
1186C2×C4⋊C4C22×D7311yescharacteristic
1187C2×C4⋊C4C22×D7311yescharacteristic
1188C2×C4⋊C4C22×D7311yescharacteristic
1189C2×C22⋊C4—2922no—
1190C2×C22⋊C4—2922no—
1191C2×C22⋊C4—2922no—
1192C2×C22⋊C4—731no—
1193C2×C22⋊C4—731no—
1194C2×C22⋊C4—731no—
1195C2×C22⋊C4—731no—
1196C2×C22⋊C4—731no—
1197C2×C22⋊C4—731no—
1198C2×C22⋊C4—731no—
1199C2×C22⋊C4—731no—
1200C2×C22⋊C4—731no—
1201C2×C22⋊C4—731no—
1202C2×C22⋊C4—731no—
1203C2×C22⋊C4—731no—
1204C2×C22⋊C4—731no—
1205C2×C22⋊C4—731no—
1206C2×C22⋊C4—731no—
1207C2×C22⋊C4—731no—
1208C2×C22⋊C4—731no—
1209C2×C22⋊C4—731no—
1210C2×C22⋊C4—731no—
1211C2×C22⋊C4—731no—
1212C2×C22⋊C4—731no—
1213C2×C22⋊C4—731no—
1214C2×C22⋊C4—731no—
1215C2×C22⋊C4—731no—
1216C2×C22⋊C4—731no—
1217C2×C22⋊C4—731no—
1218C2×C22⋊C4—731no—
1219C2×C22⋊C4—731no—
1220C2×C22⋊C4—731no—
1221C2×C22⋊C4—731no—
1222C2×C22⋊C4—731no—
1223C2×C22⋊C4—731no—
1224C2×C22⋊C4—731no—
1225C2×C22⋊C4—731no—
1226C2×C22⋊C4—731no—
1227C2×C22⋊C4—731no—
1228C2×C22⋊C4—731no—
1229C2×C22⋊C4—731no—
1230C2×C22⋊C4—731no—
1231C2×C22⋊C4—731no—
1232C2×C22⋊C4—731no—
1233C2×C22⋊C4—731no—
1234C2×C22⋊C4—1464no—
1235C2×C22⋊C4—1464no—
1236C2×C22⋊C4—1464no—
1237C2×C22⋊C4—1464no—
1238C2×C22⋊C4—1464no—
1239C2×C22⋊C4—1464no—
1240C2×C22⋊C4—1464no—
1241C2×C22⋊C4—1464no—
1242C2×C22⋊C4—1464no—
1243C2×C22⋊C4—1464no—
1244C2×C22⋊C4—1464no—
1245C2×C22⋊C4C22×D7311yescharacteristic
1246C2×C22⋊C4C22×D7311yescharacteristic
1247C2×C22⋊C4C22×D7311yescharacteristic
1248C2×C22⋊C4C22×D7311yescharacteristic
1249C2×C22⋊C4C22×D7311yescharacteristic
1250C2×C22⋊C4C22×D7311yescharacteristic
1251C2×C22⋊C4C22×D7311yescharacteristic
1252C2×C22⋊C4C22×D7311yescharacteristic
1253C2×C22⋊C4C22×D7311yescharacteristic
1254C2×C22⋊C4C22×D7311yescharacteristic
1255C2×C22⋊C4C22×D7311yescharacteristic
1256C2×C22⋊C4C22×D7311yescharacteristic
1257C2×C22⋊C4C22×D7311yescharacteristic
1258C2×C22⋊C4C22×D7311yescharacteristic
1259C2×C42—2922no—
1260C2×C42—2922no—
1261C2×C42—731no—
1262C2×C42—731no—
1263C2×C42—731no—
1264C2×C42—731no—
1265C2×C42—731no—
1266C2×C42—731no—
1267C2×C42—731no—
1268C2×C42—731no—
1269C2×C42—731no—
1270C2×C42—731no—
1271C2×C42—731no—
1272C2×C42—731no—
1273C2×C42—1464no—
1274C2×C42—1464no—
1275C2×C42C22×D7311yescharacteristic
1276C2×C42C22×D7311yescharacteristic
1277C2×C42C22×D7311yescharacteristic
1278C2×C42C22×D7311yescharacteristic
1279#95—731no—
1280#95—731no—
1281#95—731no—
1282#95—731no—
1283#95—731no—
1284#95—731no—
1285#95—731no—
1286#95—731no—
1287#95—731no—
1288#95—731no—
1289#95—731no—
1290#95—731no—
1291#95—731no—
1292#95—731no—
1293#95—731no—
1294#95—731no—
1295#95—731no—
1296#95—731no—
1297#95C22×D7311yescharacteristic
1298#95C22×D7311yescharacteristic
1299#95C22×D7311yescharacteristic
1300#95C22×D7311yescharacteristic
1301#95C22×D7311yescharacteristic
1302#95C22×D7311yescharacteristic
1303C24—731no—
1304C24—734no—
1305C24—731no—
1306C24—731no—
1307C24—731no—
1308C24—1462no—
1309C24—1462no—
1310C24—1462no—
1311C24—1462no—
1312C24—1462no—
1313C24—1462no—
1314C24—1462no—
1315C24—1462no—
1316C24—1462no—
1317C24—1462no—
1318C24—1462no—
1319C24—1462no—
1320C24—1462no—
1321C24—1462no—
1322C24—1462no—
1323C24—1462no—
1324C24—1462no—
1325C24—1462no—
1326C24—1462no—
1327C24—1462no—
1328C24C23×D7311yescharacteristic
1329C24C23×D7311yescharacteristic
1330C24C23×D7311yescharacteristic
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—2921no—
1341C2×D4—2921no—
1342C2×D4—2921no—
1343C2×D4—2921no—
1344C2×D4—29216no—
1345C2×D4—29216no—
1346C2×D4—29216no—
1347C2×D4—2921no—
1348C2×D4—2921no—
1349C2×D4—2921no—
1350C2×D4—2921no—
1351C2×D4—2921no—
1352C2×D4—2921no—
1353C2×D4—2921no—
1354C2×D4—2921no—
1355C2×D4—1462no—
1356C2×D4—1462no—
1357C2×D4—1462no—
1358C2×D4—1462no—
1359C2×D4—1462no—
1360C2×D4—1462no—
1361C2×D4—1462no—
1362C2×D4—1462no—
1363C2×D4—1462no—
1364C2×D4—1462no—
1365C2×D4—1462no—
1366C2×D4—1462no—
1367C2×D4—1462no—
1368C2×D4—1462no—
1369C2×D4—1462no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—41no—
1373C22×C4—2921no—
1374C22×C4—2921no—
1375C22×C4—29216no—
1376C22×C4—2921no—
1377C22×C4—731no—
1378C22×C4—731no—
1379C22×C4—731no—
1380C22×C4—731no—
1381C22×C4—731no—
1382C22×C4—731no—
1383C22×C4—734no—
1384C22×C4—734no—
1385C22×C4—734no—
1386C22×C4—734no—
1387C22×C4—734no—
1388C22×C4—734no—
1389C22×C4—731no—
1390C22×C4—731no—
1391C22×C4—731no—
1392C22×C4—731no—
1393C22×C4—731no—
1394C22×C4—731no—
1395C22×C4—1462no—
1396C22×C4—1462no—
1397C22×C4—1462no—
1398C22×C4—1462no—
1399C22×C4—1462no—
1400C22×C4—1462no—
1401C22×C4—1462no—
1402C22×C4—1462no—
1403C22×C4—1462no—
1404C22×C4—1462no—
1405C22×C4—1462no—
1406C22×C4—1462no—
1407C22×C4—1462no—
1408C22×C4—1462no—
1409C22×C4—1462no—
1410C22×C4—1462no—
1411C22×C4—1462no—
1412C22×C4—1462no—
1413C22×C4—1462no—
1414C22×C4—1462no—
1415C22×C4—1462no—
1416C22×C4—1462no—
1417C22×C4—1462no—
1418C22×C4—1462no—
1419C22×C4—1462no—
1420C22×C4—1462no—
1421C22×C4—1462no—
1422C22×C4—1462no—
1423C22×C4—1462no—
1424C22×C4—1462no—
1425C22×C4—1462no—
1426C22×C4—1462no—
1427C22×C4—1462no—
1428C22×C4—1462no—
1429C22×C4—1462no—
1430C22×C4—1462no—
1431C22×C4C23×D7311yescharacteristic
1432C22×C4C23×D7311yescharacteristic
1433C22×C4C23×D7311yescharacteristic
1434C22×C4C23×D7311yescharacteristic
1435C22×C4C23×D7311yescharacteristic
1436C22×C4C23×D7311yescharacteristic
1437C22×C4C23×D7311yescharacteristic
1438C22×C4C23×D7311yescharacteristic
1439C22×C4C23×D7311yescharacteristic
1440C22×C4C23×D7311yescharacteristic
1441C22×C4C23×D7311yescharacteristic
1442C22×C4C23×D7311yescharacteristic
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—41no—
1448C4⋊C4—41no—
1449C4⋊C4—2921no—
1450C4⋊C4—2921no—
1451C4⋊C4—2921no—
1452C4⋊C4—2921no—
1453C4⋊C4—2921no—
1454C4⋊C4—2921no—
1455C4⋊C4—734no—
1456C4⋊C4—734no—
1457C4⋊C4—734no—
1458C4⋊C4—1462no—
1459C4⋊C4—1462no—
1460C4⋊C4—1462no—
1461C4⋊C4—1462no—
1462C4⋊C4—1462no—
1463C4⋊C4—1462no—
1464C4⋊C4—1462no—
1465C4⋊C4—1462no—
1466C4⋊C4—1462no—
1467C4⋊C4—1462no—
1468C4⋊C4—1462no—
1469C4⋊C4—1462no—
1470C4⋊C4D4×D7314yescomplemented
1471C22⋊C4—22no—
1472C22⋊C4—22no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
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—1462no—
1495C22⋊C4—1462no—
1496C22⋊C4—1462no—
1497C22⋊C4—1462no—
1498C22⋊C4—1462no—
1499C22⋊C4—1462no—
1500C22⋊C4—1462no—
1501C22⋊C4—1462no—
1502C22⋊C4—1462no—
1503C22⋊C4—1462no—
1504C22⋊C4—1462no—
1505C22⋊C4—1462no—
1506C22⋊C4—1462no—
1507C22⋊C4—1462no—
1508C22⋊C4—1462no—
1509C22⋊C4—1462no—
1510C22⋊C4—1462no—
1511C22⋊C4—1462no—
1512C22⋊C4—1462no—
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⋊C4—1462no—
1527C42—22no—
1528C42—22no—
1529C42—41no—
1530C42—41no—
1531C42—2921no—
1532C42—2921no—
1533C42—2921no—
1534C42—2921no—
1535C42—2921no—
1536C42—2921no—
1537C42—1462no—
1538C42—1462no—
1539C42—1462no—
1540C42—1462no—
1541C42—1462no—
1542C42—1462no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—2924no—
1564C23—2924no—
1565C23—2924no—
1566C23—2924no—
1567C23—2924no—
1568C23—2924no—
1569C23—2924no—
1570C23—2924no—
1571C23—2924no—
1572C23—2924no—
1573C23—2924no—
1574C23—2924no—
1575C23—2924no—
1576C23—2924no—
1577C23—2924no—
1578C23—2924no—
1579C23—2924no—
1580C23—2924no—
1581C23—732no—
1582C23—732no—
1583C23—732no—
1584C23—732no—
1585C23—732no—
1586C23—732no—
1587C23—732no—
1588C23—732no—
1589C23—1468no—
1590C23—1468no—
1591C23—1468no—
1592C23—1461no—
1593C23—1461no—
1594C23—1461no—
1595C23—1461no—
1596C23—1461no—
1597C23—1461no—
1598C23—1461no—
1599C23—1461no—
1600C23—1461no—
1601C23—1461no—
1602C23—1461no—
1603C23—1461no—
1604C23—1461no—
1605C23—1461no—
1606C23—1461no—
1607C23—1461no—
1608C23—1461no—
1609C23—1461no—
1610C23—1461no—
1611C23—1461no—
1612C23#41×D7312yes—
1613C23C24×D7311yescharacteristic
1614D4—44no—
1615D4—44no—
1616D4—44no—
1617D4—2924no—
1618D4—2924no—
1619D4—2924no—
1620D4—2924no—
1621D4—2924no—
1622D4—2924no—
1623D4—2924no—
1624D4—2924no—
1625D4—2924no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—44no—
1657C2×C4—2924no—
1658C2×C4—2924no—
1659C2×C4—2924no—
1660C2×C4—2924no—
1661C2×C4—2924no—
1662C2×C4—2924no—
1663C2×C4—2924no—
1664C2×C4—2924no—
1665C2×C4—2924no—
1666C2×C4—732no—
1667C2×C4—732no—
1668C2×C4—732no—
1669C2×C4—732no—
1670C2×C4—732no—
1671C2×C4—732no—
1672C2×C4—1468no—
1673C2×C4—1468no—
1674C2×C4—1468no—
1675C2×C4—1468no—
1676C2×C4—1468no—
1677C2×C4—1468no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4—1461no—
1681C2×C4—1461no—
1682C2×C4—1461no—
1683C2×C4—1461no—
1684C2×C4—1461no—
1685C2×C4—1461no—
1686C2×C4—1461no—
1687C2×C4—1461no—
1688C2×C4—1461no—
1689C2×C4—1461no—
1690C2×C4—1461no—
1691C2×C4—1461no—
1692C2×C4—1461no—
1693C2×C4—1461no—
1694C2×C4—1461no—
1695C2×C4—1461no—
1696C2×C4—1461no—
1697C2×C4—1461no—
1698C2×C4—1461no—
1699C2×C4—1461no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4C2×D4×D7312yes—
1709C2×C4C2×D4×D7312yes—
1710C2×C4C2×D4×D7312yes—
1711C2×C4#41×D7312yes—
1712C2×C4#41×D7312yes—
1713C2×C4#41×D7312yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—29216no—
1736C22—2921no—
1737C22—2921no—
1738C22—2921no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—2921no—
1745C22—2921no—
1746C22—2921no—
1747C22—2921no—
1748C22—2921no—
1749C22—2921no—
1750C22—2921no—
1751C22—2921no—
1752C22—2921no—
1753C22—2921no—
1754C22—5848no—
1755C22—5848no—
1756C22—734no—
1757C22—734no—
1758C22—734no—
1759C22—734no—
1760C22—734no—
1761C22—734no—
1762C22—734no—
1763C22—1462no—
1764C22—1462no—
1765C22—1462no—
1766C22C22×D4×D7311yescharacteristic
1767C22C2×#41×D7311yescharacteristic
1768C22C2×#41×D7311yescharacteristic
1769C22C2×#41×D7311yescharacteristic
1770C22C2×#41×D7311yescharacteristic
1771C22H(5,𝔽2)×D7311yescharacteristic
1772C22H(5,𝔽2)×D7311yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—22no—
1777C4—22no—
1778C4—22no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—2921no—
1786C4—2921no—
1787C4—2921no—
1788C4—2921no—
1789C4—2921no—
1790C4—2921no—
1791C4—1462no—
1792C4—1462no—
1793C4—1462no—
1794C4—1462no—
1795C4—1462no—
1796C4—1462no—
1797C2—42no—
1798C2—81no—
1799C2—81no—
1800C2—2922no—
1801C2—5841no—
1802C2—5841no—
1803C2—738no—
1804C2#529×D7311yescharacteristic
1805C2#532×D7311yescharacteristic
1806C2#538×D7311yescharacteristic
1807C2#546×D7311yescharacteristic
1808C2#550×D7311yescharacteristic
1809C2#551×D7311yescharacteristic
1810C2#553×D7311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2554C2
prime radical#392×D73C2
hypercenter#2554D73
hypocenterC73C2×#2554
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2554

Complements

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

NH ≅ G/Ntype
1. C2×#126×D73C2semidirect
2. C2×#123×D73C2semidirect
3. #22614998C2semidirect
4. #22614997C2semidirect
5. #22614996C2semidirect
6. #22614995C2semidirect
7. #22614994C2semidirect
8. #22614993C2semidirect
9. #22614992C2semidirect
10. #22614991C2semidirect
11. #22614990C2semidirect
12. #22614989C2semidirect
13. #22614988C2semidirect
14. #22614987C2semidirect
15. #22614986C2semidirect
16. #22614985C2semidirect
17. #22614984C2semidirect
18. #398×D73C2semidirect
19. #396×D73C2semidirect
20. #394×D73C2semidirect
22. #390×D73C2semidirect
23. #390×D73C2semidirect
24. #390×D73C2semidirect
25. #388×D73C2semidirect
26. #388×D73C2semidirect
27. #388×D73C2semidirect
28. #386×D73C2semidirect
29. C4×C4⋊C4×D73C2semidirect
30. C4×C22⋊C4×D73C2semidirect
31. C73×#2554C2semidirect
36. C2×#14556586C22semidirect
37. C2×#14556586C22semidirect
38. C2×#14556586C22semidirect
39. C2×#14556585C22semidirect
40. C2×#14556584C22semidirect
41. C2×#14556584C22semidirect
42. C2×#14556584C22semidirect
44. C2×#14556576C22semidirect
45. C2×#14556576C22semidirect
46. C2×#14556575C22semidirect
47. C2×#14556574C22semidirect
48. C2×#14556573C22semidirect
49. C2×#14556573C22semidirect
50. C2×#14556572C22semidirect
77. #17988521C22semidirect
78. #17988521C22semidirect
79. #17988520C22semidirect
80. #17988520C22semidirect
81. #17988519C22semidirect
82. #17988518C22semidirect
83. #17988517C22semidirect
84. #17988511C22semidirect
85. #17988510C22semidirect
86. #17988510C22semidirect
87. #17988510C22semidirect
88. #17988509C22semidirect
89. #17988509C22semidirect
90. #17988509C22semidirect
91. #17988505C22semidirect
92. #17988504C22semidirect
93. #17988503C22semidirect
94. #17988503C22semidirect
95. #17988502C22semidirect
96. #17988502C22semidirect
97. #17988501C22semidirect
105. #17988490C22semidirect
106. #17988490C22semidirect
107. #17988490C22semidirect
108. #17988489C22semidirect
109. #17988489C22semidirect
110. #17988489C22semidirect
111. #17988488C22semidirect
112. #17988488C22semidirect
113. #17988488C22semidirect
114. #17988487C22semidirect
115. #17988487C22semidirect
116. #17988487C22semidirect
117. #17988487C22semidirect
118. #17988487C22semidirect
119. #17988487C22semidirect
120. #17988487C22semidirect
121. #17988487C22semidirect
122. #17988487C22semidirect
123. #17988487C22semidirect
124. #17988487C22semidirect
125. #17988487C22semidirect
126. #17988481C22semidirect
127. #17988481C22semidirect
128. #17988481C22semidirect
129. #17988480C22semidirect
130. #17988480C22semidirect
131. #17988480C22semidirect
132. #17988479C22semidirect
133. #17988479C22semidirect
134. #17988479C22semidirect
135. #17988478C22semidirect
136. #17988478C22semidirect
137. #17988478C22semidirect
138. #17988477C22semidirect
139. #17988477C22semidirect
140. #17988477C22semidirect
141. #17988476C22semidirect
142. #17988476C22semidirect
143. #17988476C22semidirect
144. #17988475C22semidirect
145. #17988475C22semidirect
146. #17988475C22semidirect
147. #17988467C22semidirect
148. #17988466C22semidirect
149. #17988465C22semidirect
150. #17988465C22semidirect
151. #17988464C22semidirect
152. #17988463C22semidirect
153. #17988463C22semidirect
154. C4⋊C4×Dic73C22semidirect
155. C4⋊C4×Dic73C22semidirect
156. C4×#11924007C22semidirect
157. C4×#11924007C22semidirect
158. C4×C4⋊Dic73C22semidirect
159. #17988438C22semidirect
160. #17988438C22semidirect
161. C22⋊C4×Dic73C22semidirect
162. C22⋊C4×Dic73C22semidirect
163. C4×#11924005C22semidirect
164. C4×#11924005C22semidirect
165. C4×C22⋊Dic73C22semidirect
166. #17988434C22semidirect
167. #17988434C22semidirect
174. C2×#126×C73C22semidirect
175. C2×#123×C73C22semidirect
176. #398×C73C22semidirect
177. #396×C73C22semidirect
178. #394×C73C22semidirect
180. #390×C73C22semidirect
181. #390×C73C22semidirect
182. #390×C73C22semidirect
183. #388×C73C22semidirect
184. #388×C73C22semidirect
185. #388×C73C22semidirect
186. #386×C73C22semidirect
187. C4×C4⋊C4×C73C22semidirect
188. C4×C22⋊C4×C73C22semidirect
269. C4⋊C4×D73D4semidirect
516. C4⋊Dic73C2×D4semidirect
529. #11924007C2×D4semidirect
530. #11924007C2×D4semidirect
618. C4⋊C4×C73C2×D4semidirect
905. D73#2554direct (N × H)
923. #2554D73direct (N × H)
937. C73C2×#2554semidirect
950. C2×#126C2×D73semidirect
959. C2×#123C2×D73semidirect
992. #398C2×D73semidirect
1000. #396C2×D73semidirect
1008. #394C2×D73semidirect
1038. #390C2×D73semidirect
1039. #390C2×D73semidirect
1040. #390C2×D73semidirect
1062. #388C2×D73semidirect
1063. #388C2×D73semidirect
1064. #388C2×D73semidirect
1072. #386C2×D73semidirect
1080. C4×C4⋊C4C2×D73semidirect
1088. C4×C22⋊C4C2×D73semidirect
1470. C4⋊C4D4×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#126×D732
C2×#123×D732
#226149982
#226149972
#226149962
#226149952
#226149942
#226149932
#226149922
#226149912
#226149902
#226149892
#226149882
#226149872
#226149862
#226149852
#226149842
#398×D732
#396×D732
#394×D732
#392×D732
#390×D732
#388×D732
#386×D732
C4×C4⋊C4×D732
C4×C22⋊C4×D732
C73×#25542
C2×#255473