Finite Group Databasebeta

← #2829×D73 #33292299

Subgroups — #2829×D73 #33292299

Order 18688.

2434 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22618070C211yesmaximal, characteristic, complemented
2#22618069C211yesmaximal, characteristic, complemented
3#22618068C211yesmaximal, characteristic, complemented
4#22618067C211yesmaximal, characteristic, complemented
5#22618066C211yesmaximal, characteristic, complemented
6#22618065C211yesmaximal, characteristic, complemented
7#22618064C211yesmaximal, characteristic, complemented
8#22618063C211yesmaximal, characteristic, complemented
9#22618062C211yesmaximal, characteristic, complemented
10#22618061C211yesmaximal, characteristic, complemented
11#22618060C211yesmaximal, characteristic, complemented
12#22618059C211yesmaximal, characteristic, complemented
13#22618058C211yesmaximal, characteristic, complemented
14#22618057C211yesmaximal, characteristic, complemented
15#22618056C211yesmaximal, characteristic, complemented
16#399×D73C211yesmaximal, characteristic, complemented
17#398×D73C211yesmaximal, characteristic, complemented
18#397×D73C211yesmaximal, characteristic, complemented
19#397×D73C211yesmaximal, characteristic, complemented
20#396×D73C211yesmaximal, characteristic, complemented
21#396×D73C211yesmaximal, characteristic, complemented
22#394×D73C211yesmaximal, characteristic, complemented
23#394×D73C211yesmaximal, characteristic, complemented
24#394×D73C211yesmaximal, characteristic, complemented
25#394×D73C211yesmaximal, characteristic, complemented
26#394×D73C211yesmaximal, characteristic, complemented
27#392×D73C211yesmaximal, characteristic
28#390×D73C211yesmaximal, characteristic, complemented
29#388×D73C211yesmaximal, characteristic, complemented
30#387×D73C211yesmaximal, characteristic, complemented
31C73×#2829C211yesmaximal, characteristic, complemented
32C22×D4×D73C2211yescharacteristic
33C22×D4×D73C2211yescharacteristic
34C22×D4×D73C2211yescharacteristic
35C2×C4⋊C4×D73C2211yescharacteristic
36C2×C4⋊C4×D73C2211yescharacteristic
37C2×C4⋊C4×D73C2211yescharacteristic
38C2×C4⋊C4×D73C2211yescharacteristic
39C2×C4⋊C4×D73C2211yescharacteristic
40C2×C4⋊C4×D73C2211yescharacteristic
41C2×C4⋊C4×D73C2211yescharacteristic
42C2×C4⋊C4×D73C2211yescharacteristic
43C2×C22⋊C4×D73C2211yescharacteristic
44C2×C22⋊C4×D73C2211yescharacteristic
45C2×C22⋊C4×D73C2211yescharacteristic
46C2×C22⋊C4×D73C2211yescharacteristic
47C2×C22⋊C4×D73C2211yescharacteristic
48C2×C22⋊C4×D73C2211yescharacteristic
49C2×C22⋊C4×D73C2211yescharacteristic
50C2×C22⋊C4×D73C2211yescharacteristic
51C2×C22⋊C4×D73C2211yescharacteristic
52C2×C22⋊C4×D73C2211yescharacteristic
53C2×C22⋊C4×D73C2211yescharacteristic
54C2×C22⋊C4×D73C2211yescharacteristic
55C2×C22⋊C4×D73C2211yescharacteristic
56C2×C22⋊C4×D73C2211yescharacteristic
57C2×C22⋊C4×D73C2211yescharacteristic
58C2×C42×D73C2211yescharacteristic
59#17988524C2211yescharacteristic, complemented
60#17988523C2211yescharacteristic, complemented
61#17988523C2211yescharacteristic, complemented
62#17988523C2211yescharacteristic, complemented
63#17988522C2211yescharacteristic, complemented
64#17988522C2211yescharacteristic, complemented
65#17988522C2211yescharacteristic, complemented
66#17988521C2211yescharacteristic, complemented
67#17988521C2211yescharacteristic, complemented
68#17988520C2211yescharacteristic, complemented
69#17988520C2211yescharacteristic, complemented
70#17988519C2211yescharacteristic, complemented
71#17988518C2211yescharacteristic, complemented
72#17988517C2211yescharacteristic, complemented
73#17988516C2211yescharacteristic, complemented
74#17988516C2211yescharacteristic, complemented
75#17988516C2211yescharacteristic, complemented
76#17988516C2211yescharacteristic, complemented
77#17988515C2211yescharacteristic, complemented
78#17988515C2211yescharacteristic, complemented
79#17988515C2211yescharacteristic, complemented
80#17988515C2211yescharacteristic, complemented
81#17988514C2211yescharacteristic, complemented
82#17988514C2211yescharacteristic, complemented
83#17988513C2211yescharacteristic, complemented
84#17988513C2211yescharacteristic, complemented
85#17988512C2211yescharacteristic, complemented
86#17988512C2211yescharacteristic, complemented
87#17988511C2211yescharacteristic, complemented
88#17988511C2211yescharacteristic, complemented
89#17988510C2211yescharacteristic, complemented
90#17988510C2211yescharacteristic, complemented
91#17988510C2211yescharacteristic, complemented
92#17988510C2211yescharacteristic, complemented
93#17988510C2211yescharacteristic, complemented
94#17988510C2211yescharacteristic, complemented
95#17988509C2211yescharacteristic, complemented
96#17988509C2211yescharacteristic, complemented
97#17988509C2211yescharacteristic, complemented
98#17988509C2211yescharacteristic, complemented
99#17988509C2211yescharacteristic, complemented
100#17988509C2211yescharacteristic, complemented
101#17988505C2211yescharacteristic, complemented
102#17988505C2211yescharacteristic, complemented
103#17988505C2211yescharacteristic, complemented
104#17988505C2211yescharacteristic, complemented
105#17988505C2211yescharacteristic, complemented
106#17988504C2211yescharacteristic, complemented
107#17988504C2211yescharacteristic, complemented
108#17988504C2211yescharacteristic, complemented
109#17988504C2211yescharacteristic, complemented
110#17988504C2211yescharacteristic, complemented
111#17988503C2211yescharacteristic, complemented
112#17988503C2211yescharacteristic, complemented
113#17988503C2211yescharacteristic, complemented
114#17988503C2211yescharacteristic, complemented
115#17988503C2211yescharacteristic, complemented
116#17988503C2211yescharacteristic, complemented
117#17988503C2211yescharacteristic, complemented
118#17988503C2211yescharacteristic, complemented
119#17988503C2211yescharacteristic, complemented
120#17988503C2211yescharacteristic, complemented
121#17988502C2211yescharacteristic, complemented
122#17988502C2211yescharacteristic, complemented
123#17988502C2211yescharacteristic, complemented
124#17988502C2211yescharacteristic, complemented
125#17988502C2211yescharacteristic, complemented
126#17988502C2211yescharacteristic, complemented
127#17988502C2211yescharacteristic, complemented
128#17988502C2211yescharacteristic, complemented
129#17988502C2211yescharacteristic, complemented
130#17988502C2211yescharacteristic, complemented
131#17988501C2211yescharacteristic, complemented
132#17988501C2211yescharacteristic, complemented
133#17988501C2211yescharacteristic, complemented
134#17988501C2211yescharacteristic, complemented
135#17988501C2211yescharacteristic, complemented
136#17988497C2211yescharacteristic
137#17988496C2211yescharacteristic
138#17988496C2211yescharacteristic
139#17988496C2211yescharacteristic
140#17988495C2211yescharacteristic
141#17988495C2211yescharacteristic
142#17988495C2211yescharacteristic
143#17988490C2211yescharacteristic, complemented
144#17988489C2211yescharacteristic, complemented
145#17988488C2211yescharacteristic, complemented
146#17988487C2211yescharacteristic, complemented
147#17988487C2211yescharacteristic, complemented
148#17988487C2211yescharacteristic, complemented
149#17988487C2211yescharacteristic, complemented
150#17988481C2211yescharacteristic, complemented
151#17988480C2211yescharacteristic, complemented
152#17988479C2211yescharacteristic, complemented
153#17988478C2211yescharacteristic, complemented
154#17988477C2211yescharacteristic, complemented
155#17988476C2211yescharacteristic, complemented
156#17988475C2211yescharacteristic, complemented
157#17988474C2211yescharacteristic, complemented
158#17988473C2211yescharacteristic, complemented
159#17988472C2211yescharacteristic, complemented
160#17988471C2211yescharacteristic, complemented
161#17988470C2211yescharacteristic, complemented
162#17988469C2211yescharacteristic, complemented
163#17988468C2211yescharacteristic, complemented
164#95×D73C2211yescharacteristic
165#95×D73C2211yescharacteristic
166#95×D73C2211yescharacteristic
167#95×D73C2211yescharacteristic
168#95×D73C2211yescharacteristic
169#95×D73C2211yescharacteristic
170#95×D73C2211yescharacteristic
171#95×D73C2211yescharacteristic
172#399×C73C2211yescharacteristic, complemented
173#398×C73C2211yescharacteristic, complemented
174#397×C73C2211yescharacteristic, complemented
175#397×C73C2211yescharacteristic, complemented
176#396×C73C2211yescharacteristic, complemented
177#396×C73C2211yescharacteristic, complemented
178#394×C73C2211yescharacteristic, complemented
179#394×C73C2211yescharacteristic, complemented
180#394×C73C2211yescharacteristic, complemented
181#394×C73C2211yescharacteristic, complemented
182#394×C73C2211yescharacteristic, complemented
183#392×C73C2211yescharacteristic
184#390×C73C2211yescharacteristic, complemented
185#388×C73C2211yescharacteristic, complemented
186#387×C73C2211yescharacteristic, complemented
187C24×D73C2311yescharacteristic
188C24×D73C2311yescharacteristic
189C24×D73C2311yescharacteristic
190C22×D292C2311yescharacteristic
191C22×D292C2311yescharacteristic
192C22×D292C2311yescharacteristic
193C22×C22⋊D73C2311yescharacteristic
194C22×C22⋊D73C2311yescharacteristic
195C22×C22⋊D73C2311yescharacteristic
196C22×C22⋊D73C2311yescharacteristic
197C22×C22⋊D73C2311yescharacteristic
198C22×C22⋊D73C2311yescharacteristic
199C2×D4×D73—24no—
200C2×D4×D73—42no—
201C2×D4×D73—42no—
202C2×D4×D73—42no—
203C2×D4×D73—42no—
204C2×D4×D73—42no—
205C2×D4×D73—42no—
206C2×D4×D73—42no—
207C2×D4×D73—42no—
208C22×C4×D73C2311yescharacteristic
209C22×C4×D73C2311yescharacteristic
210C22×C4×D73C2311yescharacteristic
211C22×C4×D73C2311yescharacteristic
212C22×C4×D73C2311yescharacteristic
213C22×C4×D73C2311yescharacteristic
214C22×C4×D73C2311yescharacteristic
215C22×C4×D73C2311yescharacteristic
216C22×C4×D73C2311yescharacteristic
217C22×C4×D73C2311yescharacteristic
218C22×C4×D73C2311yescharacteristic
219C22×C4×D73C2311yescharacteristic
220C2×C4⋊Dic73C2311yescharacteristic
221C2×C4⋊Dic73C2311yescharacteristic
222C2×C4⋊Dic73C2311yescharacteristic
223C2×C4⋊Dic73C2311yescharacteristic
224C2×C4⋊Dic73C2311yescharacteristic
225C2×C4⋊Dic73C2311yescharacteristic
226C2×C4⋊Dic73C2311yescharacteristic
227C2×C4⋊Dic73C2311yescharacteristic
228C2×#11924007C2311yescharacteristic
229C2×#11924007C2311yescharacteristic
230C2×#11924007C2311yescharacteristic
231C2×#11924007C2311yescharacteristic
232C2×#11924007C2311yescharacteristic
233C2×#11924007C2311yescharacteristic
234C2×#11924007C2311yescharacteristic
235C2×#11924007C2311yescharacteristic
236C2×#11924007C2311yescharacteristic
237C2×#11924007C2311yescharacteristic
238C2×#11924007C2311yescharacteristic
239C2×#11924007C2311yescharacteristic
240C2×#11924007C2311yescharacteristic
241C2×#11924007C2311yescharacteristic
242C2×#11924007C2311yescharacteristic
243C2×#11924007C2311yescharacteristic
244C4⋊C4×D73—24no—
245C4⋊C4×D73—42no—
246C4⋊C4×D73—42no—
247C4⋊C4×D73—42no—
248C4⋊C4×D73—42no—
249C4⋊C4×D73—42no—
250C4⋊C4×D73—42no—
251C4⋊C4×D73—42no—
252C2×C22⋊Dic73C2311yescharacteristic
253C2×C22⋊Dic73C2311yescharacteristic
254C2×C22⋊Dic73C2311yescharacteristic
255C2×C22⋊Dic73C2311yescharacteristic
256C2×C22⋊Dic73C2311yescharacteristic
257C2×C22⋊Dic73C2311yescharacteristic
258C2×C22⋊Dic73C2311yescharacteristic
259C2×C22⋊Dic73C2311yescharacteristic
260C2×C22⋊Dic73C2311yescharacteristic
261C2×C22⋊Dic73C2311yescharacteristic
262C2×C22⋊Dic73C2311yescharacteristic
263C2×C22⋊Dic73C2311yescharacteristic
264C2×C22⋊Dic73C2311yescharacteristic
265C2×C22⋊Dic73C2311yescharacteristic
266C2×C22⋊Dic73C2311yescharacteristic
267C2×#11924005C2311yescharacteristic
268C2×#11924005C2311yescharacteristic
269C2×#11924005C2311yescharacteristic
270C2×#11924005C2311yescharacteristic
271C2×#11924005C2311yescharacteristic
272C2×#11924005C2311yescharacteristic
273C2×#11924005C2311yescharacteristic
274C2×#11924005C2311yescharacteristic
275C2×#11924005C2311yescharacteristic
276C2×#11924005C2311yescharacteristic
277C2×#11924005C2311yescharacteristic
278C2×#11924005C2311yescharacteristic
279C2×#11924005C2311yescharacteristic
280C2×#11924005C2311yescharacteristic
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
297C22⋊C4×D73—24no—
298C22⋊C4×D73—42no—
299C22⋊C4×D73—42no—
300C22⋊C4×D73—42no—
301C22⋊C4×D73—42no—
302C22⋊C4×D73—42no—
303C22⋊C4×D73—42no—
304C22⋊C4×D73—42no—
305C22⋊C4×D73—42no—
306C22⋊C4×D73—42no—
307C22⋊C4×D73—42no—
308C22⋊C4×D73—42no—
309C22⋊C4×D73—42no—
310C22⋊C4×D73—42no—
311C22⋊C4×D73—42no—
312C2×C4×Dic73C2311yescharacteristic
313C2×C4×Dic73C2311yescharacteristic
314C2×C4×Dic73C2311yescharacteristic
315C42×D73—42no—
316#14556498C2311yescharacteristic
317#14556498C2311yescharacteristic
318#14556498C2311yescharacteristic
319#14556498C2311yescharacteristic
320#14556498C2311yescharacteristic
321#14556498C2311yescharacteristic
322#14556498C2311yescharacteristic
323#14556498C2311yescharacteristic
324#14556498C2311yescharacteristic
325#14556498C2311yescharacteristic
326#14556498C2311yescharacteristic
327#14556498C2311yescharacteristic
328#14556498C2311yescharacteristic
329#14556498C2311yescharacteristic
330#14556498C2311yescharacteristic
331#14556498C2311yescharacteristic
332#14556498C2311yescharacteristic
333#14556498C2311yescharacteristic
334#14556498C2311yescharacteristic
335#14556498C2311yescharacteristic
336#14556498C2311yescharacteristic
337#14556498C2311yescharacteristic
338#14556498C2311yescharacteristic
339#14556498C2311yescharacteristic
340C22×D4×C73C2311yescharacteristic
341C22×D4×C73C2311yescharacteristic
342C22×D4×C73C2311yescharacteristic
343C2×C4⋊C4×C73C2311yescharacteristic
344C2×C4⋊C4×C73C2311yescharacteristic
345C2×C4⋊C4×C73C2311yescharacteristic
346C2×C4⋊C4×C73C2311yescharacteristic
347C2×C4⋊C4×C73C2311yescharacteristic
348C2×C4⋊C4×C73C2311yescharacteristic
349C2×C4⋊C4×C73C2311yescharacteristic
350C2×C4⋊C4×C73C2311yescharacteristic
351C2×C22⋊C4×C73C2311yescharacteristic
352C2×C22⋊C4×C73C2311yescharacteristic
353C2×C22⋊C4×C73C2311yescharacteristic
354C2×C22⋊C4×C73C2311yescharacteristic
355C2×C22⋊C4×C73C2311yescharacteristic
356C2×C22⋊C4×C73C2311yescharacteristic
357C2×C22⋊C4×C73C2311yescharacteristic
358C2×C22⋊C4×C73C2311yescharacteristic
359C2×C22⋊C4×C73C2311yescharacteristic
360C2×C22⋊C4×C73C2311yescharacteristic
361C2×C22⋊C4×C73C2311yescharacteristic
362C2×C22⋊C4×C73C2311yescharacteristic
363C2×C22⋊C4×C73C2311yescharacteristic
364C2×C22⋊C4×C73C2311yescharacteristic
365C2×C22⋊C4×C73C2311yescharacteristic
366C2×C42×C73C2311yescharacteristic
367#95×C73C2311yescharacteristic
368#95×C73C2311yescharacteristic
369#95×C73C2311yescharacteristic
370#95×C73C2311yescharacteristic
371#95×C73C2311yescharacteristic
372#95×C73C2311yescharacteristic
373#95×C73C2311yescharacteristic
374#95×C73C2311yescharacteristic
375C23×D73—22no—
376C23×D73—22no—
377C23×D73—22no—
378C23×D73—22no—
379C23×D73—22no—
380C23×D73—22no—
381C23×D73—22no—
382C23×D73—22no—
383C23×D73—22no—
384C23×D73—22no—
385C23×D73—22no—
386C23×D73—22no—
387C23×D73—22no—
388C23×D73—22no—
389C23×D73—22no—
390C23×D73—22no—
391C23×D73—22no—
392C23×D73—22no—
393C23×D73—22no—
394C23×D73—22no—
395C23×D73—22no—
396C23×D73C2411yescharacteristic
397C23×D73C2411yescharacteristic
398C23×D73C2411yescharacteristic
399C23×D73C2411yescharacteristic
400C2×D292—22no—
401C2×D292—41no—
402C2×D292—41no—
403C2×D292—41no—
404C2×D292—41no—
405C2×D292—41no—
406C2×D292—41no—
407C2×D292—41no—
408C2×D292—41no—
409C2×C22⋊D73—22no—
410C2×C22⋊D73—22no—
411C2×C22⋊D73—41no—
412C2×C22⋊D73—41no—
413C2×C22⋊D73—41no—
414C2×C22⋊D73—41no—
415C2×C22⋊D73—41no—
416C2×C22⋊D73—41no—
417C2×C22⋊D73—41no—
418C2×C22⋊D73—41no—
419C2×C22⋊D73—41no—
420C2×C22⋊D73—41no—
421C2×C22⋊D73—41no—
422C2×C22⋊D73—41no—
423C2×C22⋊D73—41no—
424C2×C22⋊D73—41no—
425C2×C22⋊D73—41no—
426C2×C22⋊D73—41no—
427D4×D73—416no—
428D4×D73—416no—
429D4×D73—416no—
430C22×Dic73C2411yescharacteristic
431C22×Dic73C2411yescharacteristic
432C22×Dic73C2411yescharacteristic
433C22×Dic73C2411yescharacteristic
434C22×Dic73C2411yescharacteristic
435C22×Dic73C2411yescharacteristic
436C22×Dic73C2411yescharacteristic
437C22×Dic73C2411yescharacteristic
438C22×Dic73C2411yescharacteristic
439C22×Dic73C2411yescharacteristic
440C22×Dic73C2411yescharacteristic
441C22×Dic73C2411yescharacteristic
442C2×C4×D73—22no—
443C2×C4×D73—22no—
444C2×C4×D73—22no—
445C2×C4×D73—22no—
446C2×C4×D73—22no—
447C2×C4×D73—22no—
448C2×C4×D73—22no—
449C2×C4×D73—22no—
450C2×C4×D73—22no—
451C2×C4×D73—22no—
452C2×C4×D73—22no—
453C2×C4×D73—22no—
454C2×C4×D73—22no—
455C2×C4×D73—22no—
456C2×C4×D73—22no—
457C2×C4×D73—22no—
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#4114yes—
478C4⋊Dic73—22no—
479C4⋊Dic73—41no—
480C4⋊Dic73—41no—
481C4⋊Dic73—41no—
482C4⋊Dic73—41no—
483C4⋊Dic73—41no—
484C4⋊Dic73—41no—
485C4⋊Dic73—41no—
486#11924007—22no—
487#11924007—22no—
488#11924007—41no—
489#11924007—41no—
490#11924007—41no—
491#11924007—41no—
492#11924007—41no—
493#11924007—41no—
494#11924007—41no—
495#11924007—41no—
496#11924007—41no—
497#11924007—41no—
498#11924007—41no—
499#11924007—41no—
500#11924007—41no—
501#11924007—41no—
502C22⋊Dic73—22no—
503C22⋊Dic73—41no—
504C22⋊Dic73—41no—
505C22⋊Dic73—41no—
506C22⋊Dic73—41no—
507C22⋊Dic73—41no—
508C22⋊Dic73—41no—
509C22⋊Dic73—41no—
510C22⋊Dic73—41no—
511C22⋊Dic73—41no—
512C22⋊Dic73—41no—
513C22⋊Dic73—41no—
514C22⋊Dic73—41no—
515C22⋊Dic73—41no—
516C22⋊Dic73—41no—
517#11924005—22no—
518#11924005—22no—
519#11924005—41no—
520#11924005—41no—
521#11924005—41no—
522#11924005—41no—
523#11924005—41no—
524#11924005—41no—
525#11924005—41no—
526#11924005—41no—
527#11924005—41no—
528#11924005—41no—
529#11924005—41no—
530#11924005—41no—
531#11924005—41no—
532#11924005—41no—
533#11924005—41no—
534#11924005—41no—
535#11924005—41no—
536#11924005—41no—
537#11924005—41no—
538#11924005—41no—
539#11924005—41no—
540#11924005—41no—
541#11924005—41no—
542#11924005—41no—
543#11924005—41no—
544#11924005—41no—
545#11924005—41no—
546#11924005—41no—
547C4×Dic73—41no—
548C4×Dic73—41no—
549C4×Dic73—41no—
550C24×C73C2411yescharacteristic
551C24×C73C2411yescharacteristic
552C24×C73C2411yescharacteristic
553C2×D4×C73—22no—
554C2×D4×C73—41no—
555C2×D4×C73—41no—
556C2×D4×C73—41no—
557C2×D4×C73—41no—
558C2×D4×C73—41no—
559C2×D4×C73—41no—
560C2×D4×C73—41no—
561C2×D4×C73—41no—
562C22×C4×C73C2411yescharacteristic
563C22×C4×C73C2411yescharacteristic
564C22×C4×C73C2411yescharacteristic
565C22×C4×C73C2411yescharacteristic
566C22×C4×C73C2411yescharacteristic
567C22×C4×C73C2411yescharacteristic
568C22×C4×C73C2411yescharacteristic
569C22×C4×C73C2411yescharacteristic
570C22×C4×C73C2411yescharacteristic
571C22×C4×C73C2411yescharacteristic
572C22×C4×C73C2411yescharacteristic
573C22×C4×C73C2411yescharacteristic
574C4⋊C4×C73—22no—
575C4⋊C4×C73—41no—
576C4⋊C4×C73—41no—
577C4⋊C4×C73—41no—
578C4⋊C4×C73—41no—
579C4⋊C4×C73—41no—
580C4⋊C4×C73—41no—
581C4⋊C4×C73—41no—
582C22⋊C4×C73—22no—
583C22⋊C4×C73—41no—
584C22⋊C4×C73—41no—
585C22⋊C4×C73—41no—
586C22⋊C4×C73—41no—
587C22⋊C4×C73—41no—
588C22⋊C4×C73—41no—
589C22⋊C4×C73—41no—
590C22⋊C4×C73—41no—
591C22⋊C4×C73—41no—
592C22⋊C4×C73—41no—
593C22⋊C4×C73—41no—
594C22⋊C4×C73—41no—
595C22⋊C4×C73—41no—
596C22⋊C4×C73—41no—
597C42×C73—41no—
598C23×C73—21no—
599C23×C73—21no—
600C23×C73—21no—
601C23×C73—21no—
602C23×C73—21no—
603C23×C73—21no—
604C23×C73—21no—
605C23×C73—21no—
606C23×C73—21no—
607C23×C73—21no—
608C23×C73—21no—
609C23×C73—21no—
610C23×C73—21no—
611C23×C73—21no—
612C23×C73—21no—
613C23×C73—21no—
614C23×C73—21no—
615C23×C73—21no—
616C23×C73—21no—
617C23×C73—21no—
618C23×C73—21no—
619C23×C73C2511yescharacteristic
620C22×D73—21no—
621C22×D73—21no—
622C22×D73—21no—
623C22×D73—21no—
624C22×D73—21no—
625C22×D73—21no—
626C22×D73—21no—
627C22×D73—21no—
628C22×D73—21no—
629C22×D73—21no—
630C22×D73—21no—
631C22×D73—21no—
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—44no—
642C22×D73—44no—
643C22×D73—44no—
644C22×D73—44no—
645C22×D73—44no—
646C22×D73—44no—
647C22×D73—44no—
648C22×D73—44no—
649C22×D73—44no—
650C22×D73—44no—
651C22×D73—44no—
652C22×D73—44no—
653C22×D73—44no—
654C22×D73—44no—
655C22×D73—44no—
656C22×D73—44no—
657C22×D73—44no—
658C22×D73—44no—
659C22×D73—44no—
660C22×D73—44no—
661C22×D73—44no—
662C22×D73C2×#4112yes—
663C22×D73H(5,𝔽2)12yes—
664C22×D73H(5,𝔽2)12yes—
665C22×D73H(5,𝔽2)12yes—
666C22×D73H(5,𝔽2)12yes—
667C22×D73H(5,𝔽2)12yes—
668C22×D732−1+412yes—
669D4×C73—44no—
670D4×C73—44no—
671D4×C73—44no—
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—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73C2×#4112yes—
708C22⋊D73—44no—
709C22⋊D73—44no—
710C22⋊D73—44no—
711C22⋊D73—44no—
712C22⋊D73—44no—
713C22⋊D73—44no—
714C2×Dic73—21no—
715C2×Dic73—21no—
716C2×Dic73—21no—
717C2×Dic73—21no—
718C2×Dic73—21no—
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—21no—
741C2×Dic73—21no—
742C2×Dic73—21no—
743C2×Dic73—21no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73C2×#4112yes—
750D292—44no—
751D292—44no—
752D292—44no—
753C4×D73—28no—
754C4×D73—44no—
755C4×D73—44no—
756C4×D73—44no—
757C4×D73—44no—
758C4×D73—44no—
759C4×D73—44no—
760C4×D73—44no—
761C4×D73—44no—
762C4×D73—44no—
763C4×D73—44no—
764C4×D73—44no—
765C22×C73—41no—
766C22×C73—41no—
767C22×C73—41no—
768C22×C73—41no—
769C22×C73—41no—
770C22×C73—41no—
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×C73—41no—
783C22×C73—41no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73C22×#4111yescharacteristic
787C22×C73C2×H(5,𝔽2)11yescharacteristic
788C22×C73C2×H(5,𝔽2)11yescharacteristic
789C22×C73C2×H(5,𝔽2)11yescharacteristic
790C22×C73C2×H(5,𝔽2)11yescharacteristic
791C22×C73C2×H(5,𝔽2)11yescharacteristic
792C22×C73C2×2−1+411yescharacteristic
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—41no—
797C2×D73—41no—
798C2×D73—41no—
799C2×D73—41no—
800C2×D73—41no—
801C2×D73—41no—
802C2×D73—41no—
803C2×D73—41no—
804C2×D73—41no—
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—88no—
815C2×D73—88no—
816C2×D73—88no—
817C2×D73#53814yes—
818C2×D73#54014yes—
819C2×D73#54214yes—
820C2×D73#56014yes—
821C2×D73#56014yes—
822C2×D73#56214yes—
823C2×D73#56214yes—
824C4×C73—22no—
825C4×C73—41no—
826C4×C73—41no—
827C4×C73—41no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73—41no—
831C4×C73—41no—
832C4×C73—41no—
833C4×C73—41no—
834C4×C73—41no—
835C4×C73—41no—
836Dic73—22no—
837Dic73—41no—
838Dic73—41no—
839Dic73—41no—
840Dic73—41no—
841Dic73—41no—
842Dic73—41no—
843Dic73—41no—
844Dic73—41no—
845Dic73—41no—
846Dic73—41no—
847Dic73—41no—
848C2×#2829—731nomaximal, Sylow
849C2×C73—81no—
850C2×C73—81no—
851C2×C73—81no—
852C2×C73C2×#53811yescharacteristic
853C2×C73C2×#54011yescharacteristic
854C2×C73C2×#54211yescharacteristic
855C2×C73C2×#56011yescharacteristic
856C2×C73C2×#56011yescharacteristic
857C2×C73C2×#56211yescharacteristic
858C2×C73C2×#56211yescharacteristic
859D73—81no—
860D73—81no—
861D73—81no—
862D73#282918yesdirect product factor
863#2829—731no—
864#2829—731no—
865#2829—731no—
866#2829—731no—
867#2829—731no—
868#2829—731no—
869#2829—731no—
870#2829—731no—
871#2829—731no—
872#2829—731no—
873#2829—731no—
874#2829—731no—
875#2829—731no—
876#2829—731no—
877#2829—731no—
878#2829D7311yescharacteristic, direct product factor
879C2×#399—731no—
880C2×#398—731no—
881C2×#397—731no—
882C2×#397—731no—
883C2×#396—731no—
884C2×#396—731no—
885C2×#394—731no—
886C2×#394—731no—
887C2×#394—731no—
888C2×#394—731no—
889C2×#394—731no—
890C2×#392—731no—
891C2×#390—731no—
892C2×#388—731no—
893C2×#387—731no—
894C73C2×#282911yescharacteristic, complemented, Sylow
895C23×D4—731no—
896C23×D4—731no—
897C23×D4—731no—
898C22×C4⋊C4—731no—
899C22×C4⋊C4—731no—
900C22×C4⋊C4—731no—
901C22×C4⋊C4—731no—
902C22×C4⋊C4—731no—
903C22×C4⋊C4—731no—
904C22×C4⋊C4—731no—
905C22×C4⋊C4—731no—
906C22×C22⋊C4—731no—
907C22×C22⋊C4—731no—
908C22×C22⋊C4—731no—
909C22×C22⋊C4—731no—
910C22×C22⋊C4—731no—
911C22×C22⋊C4—731no—
912C22×C22⋊C4—731no—
913C22×C22⋊C4—731no—
914C22×C22⋊C4—731no—
915C22×C22⋊C4—731no—
916C22×C22⋊C4—731no—
917C22×C22⋊C4—731no—
918C22×C22⋊C4—731no—
919C22×C22⋊C4—731no—
920C22×C22⋊C4—731no—
921C22×C42—731no—
922#399—731no—
923#399—731no—
924#399—731no—
925#399—731no—
926#399—731no—
927#399—731no—
928#399—731no—
929#399C2×D7311yescharacteristic, complemented
930#398—731no—
931#398—731no—
932#398—731no—
933#398—731no—
934#398—731no—
935#398—731no—
936#398—731no—
937#398C2×D7311yescharacteristic, complemented
938#397—731no—
939#397—731no—
940#397—731no—
941#397—731no—
942#397—731no—
943#397—731no—
944#397—731no—
945#397—731no—
946#397—731no—
947#397—731no—
948#397—731no—
949#397—731no—
950#397—731no—
951#397—731no—
952#397C2×D7311yescharacteristic, complemented
953#397C2×D7311yescharacteristic, complemented
954#396—731no—
955#396—731no—
956#396—731no—
957#396—731no—
958#396—731no—
959#396—731no—
960#396—731no—
961#396—731no—
962#396—731no—
963#396—731no—
964#396—731no—
965#396—731no—
966#396—731no—
967#396—731no—
968#396C2×D7311yescharacteristic, complemented
969#396C2×D7311yescharacteristic, complemented
970#394—731no—
971#394—731no—
972#394—731no—
973#394—731no—
974#394—731no—
975#394—731no—
976#394—731no—
977#394—731no—
978#394—731no—
979#394—731no—
980#394—731no—
981#394—731no—
982#394—731no—
983#394—731no—
984#394—731no—
985#394—731no—
986#394—731no—
987#394—731no—
988#394—731no—
989#394—731no—
990#394—731no—
991#394—731no—
992#394—731no—
993#394—731no—
994#394—731no—
995#394—731no—
996#394—731no—
997#394—731no—
998#394—731no—
999#394—731no—
1000#394—731no—
1001#394—731no—
1002#394—731no—
1003#394—731no—
1004#394—731no—
1005#394C2×D7311yescharacteristic, complemented
1006#394C2×D7311yescharacteristic, complemented
1007#394C2×D7311yescharacteristic, complemented
1008#394C2×D7311yescharacteristic, complemented
1009#394C2×D7311yescharacteristic, complemented
1010#392—731no—
1011#392—731no—
1012#392—731no—
1013#392—731no—
1014#392—731no—
1015#392—731no—
1016#392—731no—
1017#392C2×D7311yescharacteristic
1018#390—731no—
1019#390—731no—
1020#390—731no—
1021#390—731no—
1022#390—731no—
1023#390—731no—
1024#390—731no—
1025#390C2×D7311yescharacteristic, complemented
1026#388—731no—
1027#388—731no—
1028#388—731no—
1029#388—731no—
1030#388—731no—
1031#388—731no—
1032#388—731no—
1033#388C2×D7311yescharacteristic, complemented
1034#387—731no—
1035#387—731no—
1036#387—731no—
1037#387—731no—
1038#387—731no—
1039#387—731no—
1040#387—731no—
1041#387C2×D7311yescharacteristic, complemented
1042C2×#95—731no—
1043C2×#95—731no—
1044C2×#95—731no—
1045C2×#95—731no—
1046C2×#95—731no—
1047C2×#95—731no—
1048C2×#95—731no—
1049C2×#95—731no—
1050C25—731no—
1051C25—731no—
1052C25—731no—
1053C22×D4—2922no—
1054C22×D4—2922no—
1055C22×D4—2922no—
1056C22×D4—2922no—
1057C22×D4—2922no—
1058C22×D4—2922no—
1059C22×D4—2922no—
1060C22×D4—2922no—
1061C22×D4—731no—
1062C22×D4—731no—
1063C22×D4—731no—
1064C22×D4—731no—
1065C22×D4—731no—
1066C22×D4—731no—
1067C22×D4—731no—
1068C22×D4—731no—
1069C22×D4—731no—
1070C22×D4—1464no—
1071C22×D4C22×D7311yescharacteristic
1072C22×D4C22×D7311yescharacteristic
1073C22×D4C22×D7311yescharacteristic
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—731no—
1085C23×C4—731no—
1086C2×C4⋊C4—2922no—
1087C2×C4⋊C4—2922no—
1088C2×C4⋊C4—2922no—
1089C2×C4⋊C4—2922no—
1090C2×C4⋊C4—2922no—
1091C2×C4⋊C4—2922no—
1092C2×C4⋊C4—2922no—
1093C2×C4⋊C4—731no—
1094C2×C4⋊C4—731no—
1095C2×C4⋊C4—731no—
1096C2×C4⋊C4—731no—
1097C2×C4⋊C4—731no—
1098C2×C4⋊C4—731no—
1099C2×C4⋊C4—731no—
1100C2×C4⋊C4—731no—
1101C2×C4⋊C4—731no—
1102C2×C4⋊C4—731no—
1103C2×C4⋊C4—731no—
1104C2×C4⋊C4—731no—
1105C2×C4⋊C4—731no—
1106C2×C4⋊C4—731no—
1107C2×C4⋊C4—731no—
1108C2×C4⋊C4—731no—
1109C2×C4⋊C4—731no—
1110C2×C4⋊C4—731no—
1111C2×C4⋊C4—731no—
1112C2×C4⋊C4—731no—
1113C2×C4⋊C4—731no—
1114C2×C4⋊C4—731no—
1115C2×C4⋊C4—731no—
1116C2×C4⋊C4—731no—
1117C2×C4⋊C4—1464no—
1118C2×C4⋊C4C22×D7311yescharacteristic
1119C2×C4⋊C4C22×D7311yescharacteristic
1120C2×C4⋊C4C22×D7311yescharacteristic
1121C2×C4⋊C4C22×D7311yescharacteristic
1122C2×C4⋊C4C22×D7311yescharacteristic
1123C2×C4⋊C4C22×D7311yescharacteristic
1124C2×C4⋊C4C22×D7311yescharacteristic
1125C2×C4⋊C4C22×D7311yescharacteristic
1126C2×C22⋊C4—2922no—
1127C2×C22⋊C4—2922no—
1128C2×C22⋊C4—2922no—
1129C2×C22⋊C4—2922no—
1130C2×C22⋊C4—2922no—
1131C2×C22⋊C4—2922no—
1132C2×C22⋊C4—2922no—
1133C2×C22⋊C4—2922no—
1134C2×C22⋊C4—2922no—
1135C2×C22⋊C4—2922no—
1136C2×C22⋊C4—2922no—
1137C2×C22⋊C4—2922no—
1138C2×C22⋊C4—2922no—
1139C2×C22⋊C4—2922no—
1140C2×C22⋊C4—731no—
1141C2×C22⋊C4—731no—
1142C2×C22⋊C4—731no—
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—731no—
1179C2×C22⋊C4—731no—
1180C2×C22⋊C4—731no—
1181C2×C22⋊C4—731no—
1182C2×C22⋊C4—731no—
1183C2×C22⋊C4—731no—
1184C2×C22⋊C4—731no—
1185C2×C22⋊C4—1464no—
1186C2×C22⋊C4C22×D7311yescharacteristic
1187C2×C22⋊C4C22×D7311yescharacteristic
1188C2×C22⋊C4C22×D7311yescharacteristic
1189C2×C22⋊C4C22×D7311yescharacteristic
1190C2×C22⋊C4C22×D7311yescharacteristic
1191C2×C22⋊C4C22×D7311yescharacteristic
1192C2×C22⋊C4C22×D7311yescharacteristic
1193C2×C22⋊C4C22×D7311yescharacteristic
1194C2×C22⋊C4C22×D7311yescharacteristic
1195C2×C22⋊C4C22×D7311yescharacteristic
1196C2×C22⋊C4C22×D7311yescharacteristic
1197C2×C22⋊C4C22×D7311yescharacteristic
1198C2×C22⋊C4C22×D7311yescharacteristic
1199C2×C22⋊C4C22×D7311yescharacteristic
1200C2×C22⋊C4C22×D7311yescharacteristic
1201C2×C42—2922no—
1202C2×C42—731no—
1203C2×C42—731no—
1204C2×C42—731no—
1205C2×C42C22×D7311yescharacteristic
1206#95—731no—
1207#95—731no—
1208#95—731no—
1209#95—731no—
1210#95—731no—
1211#95—731no—
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#95C22×D7311yescharacteristic
1231#95C22×D7311yescharacteristic
1232#95C22×D7311yescharacteristic
1233#95C22×D7311yescharacteristic
1234#95C22×D7311yescharacteristic
1235#95C22×D7311yescharacteristic
1236#95C22×D7311yescharacteristic
1237#95C22×D7311yescharacteristic
1238C24—731no—
1239C24—731no—
1240C24—731no—
1241C24—731no—
1242C24—1462no—
1243C24—1462no—
1244C24—1462no—
1245C24—1462no—
1246C24—1462no—
1247C24—1462no—
1248C24—1462no—
1249C24—1462no—
1250C24—1462no—
1251C24—1462no—
1252C24—1462no—
1253C24—1462no—
1254C24—1462no—
1255C24—1462no—
1256C24—1462no—
1257C24—1462no—
1258C24—1462no—
1259C24—1462no—
1260C24—1462no—
1261C24—1462no—
1262C24—1462no—
1263C24C23×D7311yescharacteristic
1264C24C23×D7311yescharacteristic
1265C24C23×D7311yescharacteristic
1266C2×D4—22no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—2921no—
1276C2×D4—2921no—
1277C2×D4—2921no—
1278C2×D4—2921no—
1279C2×D4—2921no—
1280C2×D4—2921no—
1281C2×D4—2921no—
1282C2×D4—2921no—
1283C2×D4—29216no—
1284C2×D4—29216no—
1285C2×D4—29216no—
1286C2×D4—2921no—
1287C2×D4—2921no—
1288C2×D4—2921no—
1289C2×D4—2921no—
1290C2×D4—2921no—
1291C2×D4—2921no—
1292C2×D4—2921no—
1293C2×D4—2921no—
1294C2×D4—2921no—
1295C2×D4—2921no—
1296C2×D4—2921no—
1297C2×D4—2921no—
1298C2×D4—2921no—
1299C2×D4—2921no—
1300C2×D4—2921no—
1301C2×D4—2921no—
1302C2×D4—1462no—
1303C2×D4—1462no—
1304C2×D4—1462no—
1305C22×C4—731no—
1306C22×C4—734no—
1307C22×C4—731no—
1308C22×C4—731no—
1309C22×C4—731no—
1310C22×C4—731no—
1311C22×C4—731no—
1312C22×C4—731no—
1313C22×C4—731no—
1314C22×C4—731no—
1315C22×C4—731no—
1316C22×C4—731no—
1317C22×C4—731no—
1318C22×C4—1462no—
1319C22×C4—1462no—
1320C22×C4—1462no—
1321C22×C4—1462no—
1322C22×C4—1462no—
1323C22×C4—1462no—
1324C22×C4—1462no—
1325C22×C4—1462no—
1326C22×C4—1462no—
1327C22×C4—1462no—
1328C22×C4—1462no—
1329C22×C4—1462no—
1330C22×C4—1462no—
1331C22×C4—1462no—
1332C22×C4—1462no—
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×C4C23×D7311yescharacteristic
1354C22×C4C23×D7311yescharacteristic
1355C22×C4C23×D7311yescharacteristic
1356C22×C4C23×D7311yescharacteristic
1357C22×C4C23×D7311yescharacteristic
1358C22×C4C23×D7311yescharacteristic
1359C22×C4C23×D7311yescharacteristic
1360C22×C4C23×D7311yescharacteristic
1361C22×C4C23×D7311yescharacteristic
1362C22×C4C23×D7311yescharacteristic
1363C22×C4C23×D7311yescharacteristic
1364C22×C4C23×D7311yescharacteristic
1365C4⋊C4—22no—
1366C4⋊C4—41no—
1367C4⋊C4—41no—
1368C4⋊C4—41no—
1369C4⋊C4—41no—
1370C4⋊C4—41no—
1371C4⋊C4—41no—
1372C4⋊C4—41no—
1373C4⋊C4—2921no—
1374C4⋊C4—2921no—
1375C4⋊C4—2921no—
1376C4⋊C4—2921no—
1377C4⋊C4—2921no—
1378C4⋊C4—2921no—
1379C4⋊C4—2921no—
1380C4⋊C4—2921no—
1381C4⋊C4—2921no—
1382C4⋊C4—2921no—
1383C4⋊C4—2921no—
1384C4⋊C4—2921no—
1385C4⋊C4—2921no—
1386C4⋊C4—2921no—
1387C4⋊C4—2921no—
1388C4⋊C4—2921no—
1389C4⋊C4—2921no—
1390C4⋊C4—2921no—
1391C4⋊C4—2921no—
1392C4⋊C4—2921no—
1393C4⋊C4—2921no—
1394C4⋊C4—1462no—
1395C4⋊C4—1462no—
1396C4⋊C4—1462no—
1397C22⋊C4—22no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—2921no—
1413C22⋊C4—2921no—
1414C22⋊C4—2921no—
1415C22⋊C4—2921no—
1416C22⋊C4—2921no—
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—2921no—
1428C22⋊C4—2921no—
1429C22⋊C4—2921no—
1430C22⋊C4—2921no—
1431C22⋊C4—2921no—
1432C22⋊C4—2921no—
1433C22⋊C4—2921no—
1434C22⋊C4—2921no—
1435C22⋊C4—2921no—
1436C22⋊C4—2921no—
1437C22⋊C4—2921no—
1438C22⋊C4—2921no—
1439C22⋊C4—2921no—
1440C22⋊C4—2921no—
1441C22⋊C4—2921no—
1442C22⋊C4—2921no—
1443C22⋊C4—2921no—
1444C22⋊C4—2921no—
1445C22⋊C4—2921no—
1446C22⋊C4—2921no—
1447C22⋊C4—2921no—
1448C22⋊C4—2921no—
1449C22⋊C4—2921no—
1450C22⋊C4—2921no—
1451C22⋊C4—2921no—
1452C22⋊C4—2921no—
1453C22⋊C4—2921no—
1454C22⋊C4—1462no—
1455C22⋊C4—1462no—
1456C22⋊C4—1462no—
1457C42—41no—
1458C42—2921no—
1459C42—2921no—
1460C42—2921no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
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—2924no—
1489C23—2924no—
1490C23—2924no—
1491C23—2924no—
1492C23—2924no—
1493C23—2924no—
1494C23—2924no—
1495C23—2924no—
1496C23—2924no—
1497C23—2924no—
1498C23—2924no—
1499C23—2924no—
1500C23—2924no—
1501C23—2924no—
1502C23—2924no—
1503C23—732no—
1504C23—732no—
1505C23—732no—
1506C23—732no—
1507C23—732no—
1508C23—732no—
1509C23—732no—
1510C23—1461no—
1511C23—1461no—
1512C23—1461no—
1513C23—1461no—
1514C23—1461no—
1515C23—1461no—
1516C23—1461no—
1517C23—1461no—
1518C23—1461no—
1519C23—1461no—
1520C23—1461no—
1521C23—1461no—
1522C23—1461no—
1523C23—1461no—
1524C23—1461no—
1525C23—1461no—
1526C23—1461no—
1527C23—1461no—
1528C23—1461no—
1529C23—1461no—
1530C23—1461no—
1531C23C24×D7311yescharacteristic
1532D4—44no—
1533D4—44no—
1534D4—44no—
1535D4—2924no—
1536D4—2924no—
1537D4—2924no—
1538D4—2924no—
1539D4—2924no—
1540D4—2924no—
1541D4—2924no—
1542D4—2924no—
1543D4—2924no—
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—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—2924no—
1580C2×C4—2924no—
1581C2×C4—2924no—
1582C2×C4—2924no—
1583C2×C4—2924no—
1584C2×C4—2924no—
1585C2×C4—2924no—
1586C2×C4—2924no—
1587C2×C4—2924no—
1588C2×C4—2924no—
1589C2×C4—2924no—
1590C2×C4—732no—
1591C2×C4—1468no—
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—1461no—
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×C4—1461no—
1620C2×C4—1461no—
1621C2×C4—1461no—
1622C2×C4—1461no—
1623C2×C4—1461no—
1624C2×C4—1461no—
1625C2×C4—1461no—
1626C2×C4—1461no—
1627C2×C4#41×D7312yes—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—2921no—
1650C22—2921no—
1651C22—2921no—
1652C22—2921no—
1653C22—2921no—
1654C22—2921no—
1655C22—2921no—
1656C22—2921no—
1657C22—2921no—
1658C22—2921no—
1659C22—2921no—
1660C22—2921no—
1661C22—2921no—
1662C22—2921no—
1663C22—2921no—
1664C22—2921no—
1665C22—2921no—
1666C22—2921no—
1667C22—2921no—
1668C22—2921no—
1669C22—2921no—
1670C22—5848no—
1671C22—5848no—
1672C22—5848no—
1673C22—734no—
1674C22—734no—
1675C22—734no—
1676C22—734no—
1677C22—734no—
1678C22—734no—
1679C22—734no—
1680C22C2×#41×D7311yescharacteristic
1681C22H(5,𝔽2)×D7311yescharacteristic
1682C22H(5,𝔽2)×D7311yescharacteristic
1683C22H(5,𝔽2)×D7311yescharacteristic
1684C22H(5,𝔽2)×D7311yescharacteristic
1685C22H(5,𝔽2)×D7311yescharacteristic
1686C222−1+4×D7311yescharacteristic
1687C4—22no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—2921no—
1700C4—2921no—
1701C4—2921no—
1702C4—2921no—
1703C4—2921no—
1704C4—2921no—
1705C4—2921no—
1706C4—2921no—
1707C4—2921no—
1708C4—2921no—
1709C4—2921no—
1710C4—1462no—
1711C2—81no—
1712C2—81no—
1713C2—81no—
1714C2—5841no—
1715C2—5841no—
1716C2—5841no—
1717C2—738no—
1718C2#538×D7311yescharacteristic
1719C2#540×D7311yescharacteristic
1720C2#542×D7311yescharacteristic
1721C2#560×D7311yescharacteristic
1722C2#560×D7311yescharacteristic
1723C2#562×D7311yescharacteristic
1724C2#562×D7311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2829C2
prime radical#392×D73C2
hypercenter#2829D73
hypocenterC73C2×#2829
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2829

Complements

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

NH ≅ G/Ntype
1. #22618070C2semidirect
2. #22618069C2semidirect
3. #22618068C2semidirect
4. #22618067C2semidirect
5. #22618066C2semidirect
6. #22618065C2semidirect
7. #22618064C2semidirect
8. #22618063C2semidirect
9. #22618062C2semidirect
10. #22618061C2semidirect
11. #22618060C2semidirect
12. #22618059C2semidirect
13. #22618058C2semidirect
14. #22618057C2semidirect
15. #22618056C2semidirect
16. #399×D73C2semidirect
17. #398×D73C2semidirect
18. #397×D73C2semidirect
19. #397×D73C2semidirect
20. #396×D73C2semidirect
21. #396×D73C2semidirect
22. #394×D73C2semidirect
23. #394×D73C2semidirect
24. #394×D73C2semidirect
25. #394×D73C2semidirect
26. #394×D73C2semidirect
28. #390×D73C2semidirect
29. #388×D73C2semidirect
30. #387×D73C2semidirect
31. C73×#2829C2semidirect
59. #17988524C22semidirect
60. #17988523C22semidirect
61. #17988523C22semidirect
62. #17988523C22semidirect
63. #17988522C22semidirect
64. #17988522C22semidirect
65. #17988522C22semidirect
66. #17988521C22semidirect
67. #17988521C22semidirect
68. #17988520C22semidirect
69. #17988520C22semidirect
70. #17988519C22semidirect
71. #17988518C22semidirect
72. #17988517C22semidirect
73. #17988516C22semidirect
74. #17988516C22semidirect
75. #17988516C22semidirect
76. #17988516C22semidirect
77. #17988515C22semidirect
78. #17988515C22semidirect
79. #17988515C22semidirect
80. #17988515C22semidirect
81. #17988514C22semidirect
82. #17988514C22semidirect
83. #17988513C22semidirect
84. #17988513C22semidirect
85. #17988512C22semidirect
86. #17988512C22semidirect
87. #17988511C22semidirect
88. #17988511C22semidirect
89. #17988510C22semidirect
90. #17988510C22semidirect
91. #17988510C22semidirect
92. #17988510C22semidirect
93. #17988510C22semidirect
94. #17988510C22semidirect
95. #17988509C22semidirect
96. #17988509C22semidirect
97. #17988509C22semidirect
98. #17988509C22semidirect
99. #17988509C22semidirect
100. #17988509C22semidirect
101. #17988505C22semidirect
102. #17988505C22semidirect
103. #17988505C22semidirect
104. #17988505C22semidirect
105. #17988505C22semidirect
106. #17988504C22semidirect
107. #17988504C22semidirect
108. #17988504C22semidirect
109. #17988504C22semidirect
110. #17988504C22semidirect
111. #17988503C22semidirect
112. #17988503C22semidirect
113. #17988503C22semidirect
114. #17988503C22semidirect
115. #17988503C22semidirect
116. #17988503C22semidirect
117. #17988503C22semidirect
118. #17988503C22semidirect
119. #17988503C22semidirect
120. #17988503C22semidirect
121. #17988502C22semidirect
122. #17988502C22semidirect
123. #17988502C22semidirect
124. #17988502C22semidirect
125. #17988502C22semidirect
126. #17988502C22semidirect
127. #17988502C22semidirect
128. #17988502C22semidirect
129. #17988502C22semidirect
130. #17988502C22semidirect
131. #17988501C22semidirect
132. #17988501C22semidirect
133. #17988501C22semidirect
134. #17988501C22semidirect
135. #17988501C22semidirect
143. #17988490C22semidirect
144. #17988489C22semidirect
145. #17988488C22semidirect
146. #17988487C22semidirect
147. #17988487C22semidirect
148. #17988487C22semidirect
149. #17988487C22semidirect
150. #17988481C22semidirect
151. #17988480C22semidirect
152. #17988479C22semidirect
153. #17988478C22semidirect
154. #17988477C22semidirect
155. #17988476C22semidirect
156. #17988475C22semidirect
157. #17988474C22semidirect
158. #17988473C22semidirect
159. #17988472C22semidirect
160. #17988471C22semidirect
161. #17988470C22semidirect
162. #17988469C22semidirect
163. #17988468C22semidirect
172. #399×C73C22semidirect
173. #398×C73C22semidirect
174. #397×C73C22semidirect
175. #397×C73C22semidirect
176. #396×C73C22semidirect
177. #396×C73C22semidirect
178. #394×C73C22semidirect
179. #394×C73C22semidirect
180. #394×C73C22semidirect
181. #394×C73C22semidirect
182. #394×C73C22semidirect
184. #390×C73C22semidirect
185. #388×C73C22semidirect
186. #387×C73C22semidirect
862. D73#2829direct (N × H)
878. #2829D73direct (N × H)
894. C73C2×#2829semidirect
929. #399C2×D73semidirect
937. #398C2×D73semidirect
952. #397C2×D73semidirect
953. #397C2×D73semidirect
968. #396C2×D73semidirect
969. #396C2×D73semidirect
1005. #394C2×D73semidirect
1006. #394C2×D73semidirect
1007. #394C2×D73semidirect
1008. #394C2×D73semidirect
1009. #394C2×D73semidirect
1025. #390C2×D73semidirect
1033. #388C2×D73semidirect
1041. #387C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226180702
#226180692
#226180682
#226180672
#226180662
#226180652
#226180642
#226180632
#226180622
#226180612
#226180602
#226180592
#226180582
#226180572
#226180562
#399×D732
#398×D732
#397×D732
#396×D732
#394×D732
#392×D732
#390×D732
#388×D732
#387×D732
C73×#28292
C2×#282973