Finite Group Databasebeta

← #2456×D73 #33253488

Subgroups — #2456×D73 #33253488

Order 18688.

4282 conjugacy classes of subgroups.

The subgroup lattice has 2064 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#123×D73C211yesmaximal, characteristic, complemented
2C2×#121×D73C211yesmaximal, characteristic, complemented
3C2×C4×D4×D73C211yesmaximal, characteristic, complemented
4C2×C4×D4×D73C211yesmaximal, characteristic, complemented
5#22613830C211yesmaximal, characteristic, complemented
6#22613829C211yesmaximal, characteristic, complemented
7#22613828C211yesmaximal, characteristic, complemented
8#22613827C211yesmaximal, characteristic, complemented
9#22613826C211yesmaximal, characteristic, complemented
10#22613825C211yesmaximal, characteristic, complemented
11#22613824C211yesmaximal, characteristic, complemented
12#22613823C211yesmaximal, characteristic, complemented
13#22613822C211yesmaximal, characteristic, complemented
14#22613821C211yesmaximal, characteristic, complemented
15#22613820C211yesmaximal, characteristic, complemented
16#22613819C211yesmaximal, characteristic, complemented
17#22613818C211yesmaximal, characteristic, complemented
18#22613817C211yesmaximal, characteristic, complemented
19#22613816C211yesmaximal, characteristic, complemented
20#396×D73C211yesmaximal, characteristic, complemented
21#392×D73C211yesmaximal, characteristic, complemented
22#392×D73C211yesmaximal, characteristic, complemented
23#392×D73C211yesmaximal, characteristic, complemented
24#390×D73C211yesmaximal, characteristic, complemented
25#388×D73C211yesmaximal, characteristic, complemented
26#388×D73C211yesmaximal, characteristic, complemented
27#387×D73C211yesmaximal, characteristic, complemented
28#386×D73C211yesmaximal, characteristic, complemented
29#386×D73C211yesmaximal, characteristic, complemented
30#385×D73C211yesmaximal, characteristic, complemented
31C73×#2456C211yesmaximal, characteristic, complemented
32C22×D4×D73C2211yescharacteristic
33C22×D4×D73C2211yescharacteristic
34C22×D4×D73C2211yescharacteristic
35C22×D4×D73C2211yescharacteristic
36C22×D4×D73C2211yescharacteristic
37C22×D4×D73C2211yescharacteristic
38C23×C4×D73C2211yescharacteristic
39C23×C4×D73C2211yescharacteristic
40C23×C4×D73C2211yescharacteristic
41C2×#14556576C2211yescharacteristic, complemented
42C2×#14556576C2211yescharacteristic, complemented
43C2×#14556575C2211yescharacteristic, complemented
44C2×#14556574C2211yescharacteristic, complemented
45C2×#14556573C2211yescharacteristic, complemented
46C2×#14556573C2211yescharacteristic, complemented
47C2×#14556572C2211yescharacteristic, complemented
48#123×D73—28no—
49C2×#14556566C2211yescharacteristic, complemented
50C2×#14556565C2211yescharacteristic, complemented
51C2×#14556564C2211yescharacteristic, complemented
52C2×#14556564C2211yescharacteristic, complemented
53C2×#14556563C2211yescharacteristic, complemented
54C2×#14556563C2211yescharacteristic, complemented
55C2×#14556562C2211yescharacteristic, complemented
56#121×D73—28no—
57C2×C4×D292C2211yescharacteristic, complemented
58C2×C4×D292C2211yescharacteristic, complemented
59C2×D4×Dic73C2211yescharacteristic, complemented
60C2×D4×Dic73C2211yescharacteristic, complemented
61C2×#14556553C2211yescharacteristic, complemented
62C2×#14556553C2211yescharacteristic, complemented
63C2×C4×C22⋊D73C2211yescharacteristic, complemented
64C2×C4×C22⋊D73C2211yescharacteristic, complemented
65C2×C4×C22⋊D73C2211yescharacteristic, complemented
66C2×C4×C22⋊D73C2211yescharacteristic, complemented
67C2×#14556551C2211yescharacteristic, complemented
68C2×#14556551C2211yescharacteristic, complemented
69C2×#14556551C2211yescharacteristic, complemented
70C2×#14556551C2211yescharacteristic, complemented
71C4×D4×D73—28no—
72C4×D4×D73—28no—
73C2×C4⋊C4×D73C2211yescharacteristic
74C2×C4⋊C4×D73C2211yescharacteristic
75C2×C4⋊C4×D73C2211yescharacteristic
76C2×C4⋊C4×D73C2211yescharacteristic
77C2×C4⋊C4×D73C2211yescharacteristic
78C2×C22⋊C4×D73C2211yescharacteristic
79C2×C22⋊C4×D73C2211yescharacteristic
80C2×C22⋊C4×D73C2211yescharacteristic
81C2×C22⋊C4×D73C2211yescharacteristic
82C2×C22⋊C4×D73C2211yescharacteristic
83C2×C22⋊C4×D73C2211yescharacteristic
84C2×C22⋊C4×D73C2211yescharacteristic
85C2×C22⋊C4×D73C2211yescharacteristic
86C2×C22⋊C4×D73C2211yescharacteristic
87C2×C22⋊C4×D73C2211yescharacteristic
88C2×C22⋊C4×D73C2211yescharacteristic
89C2×C22⋊C4×D73C2211yescharacteristic
90C2×C22⋊C4×D73C2211yescharacteristic
91C2×C42×D73C2211yescharacteristic
92C2×C42×D73C2211yescharacteristic
93#17988511C2211yescharacteristic, complemented
94#17988510C2211yescharacteristic, complemented
95#17988510C2211yescharacteristic, complemented
96#17988510C2211yescharacteristic, complemented
97#17988509C2211yescharacteristic, complemented
98#17988509C2211yescharacteristic, complemented
99#17988509C2211yescharacteristic, complemented
100#17988497C2211yescharacteristic, complemented
101#17988497C2211yescharacteristic, complemented
102#17988497C2211yescharacteristic, complemented
103#17988496C2211yescharacteristic, complemented
104#17988496C2211yescharacteristic, complemented
105#17988496C2211yescharacteristic, complemented
106#17988496C2211yescharacteristic, complemented
107#17988496C2211yescharacteristic, complemented
108#17988496C2211yescharacteristic, complemented
109#17988496C2211yescharacteristic, complemented
110#17988496C2211yescharacteristic, complemented
111#17988496C2211yescharacteristic, complemented
112#17988495C2211yescharacteristic, complemented
113#17988495C2211yescharacteristic, complemented
114#17988495C2211yescharacteristic, complemented
115#17988495C2211yescharacteristic, complemented
116#17988495C2211yescharacteristic, complemented
117#17988495C2211yescharacteristic, complemented
118#17988495C2211yescharacteristic, complemented
119#17988495C2211yescharacteristic, complemented
120#17988495C2211yescharacteristic, complemented
121#17988490C2211yescharacteristic, complemented
122#17988489C2211yescharacteristic, complemented
123#17988488C2211yescharacteristic, complemented
124#17988487C2211yescharacteristic, complemented
125#17988487C2211yescharacteristic, complemented
126#17988487C2211yescharacteristic, complemented
127#17988487C2211yescharacteristic, complemented
128#17988481C2211yescharacteristic, complemented
129#17988481C2211yescharacteristic, complemented
130#17988480C2211yescharacteristic, complemented
131#17988480C2211yescharacteristic, complemented
132#17988479C2211yescharacteristic, complemented
133#17988479C2211yescharacteristic, complemented
134#17988478C2211yescharacteristic, complemented
135#17988478C2211yescharacteristic, complemented
136#17988477C2211yescharacteristic, complemented
137#17988477C2211yescharacteristic, complemented
138#17988476C2211yescharacteristic, complemented
139#17988476C2211yescharacteristic, complemented
140#17988475C2211yescharacteristic, complemented
141#17988475C2211yescharacteristic, complemented
142#17988474C2211yescharacteristic, complemented
143#17988473C2211yescharacteristic, complemented
144#17988472C2211yescharacteristic, complemented
145#17988471C2211yescharacteristic, complemented
146#17988470C2211yescharacteristic, complemented
147#17988469C2211yescharacteristic, complemented
148#17988468C2211yescharacteristic, complemented
149#17988467C2211yescharacteristic, complemented
150#17988467C2211yescharacteristic, complemented
151#17988466C2211yescharacteristic, complemented
152#17988466C2211yescharacteristic, complemented
153#17988465C2211yescharacteristic, complemented
154#17988465C2211yescharacteristic, complemented
155#17988465C2211yescharacteristic, complemented
156#17988465C2211yescharacteristic, complemented
157#17988464C2211yescharacteristic, complemented
158#17988464C2211yescharacteristic, complemented
159#17988463C2211yescharacteristic, complemented
160#17988463C2211yescharacteristic, complemented
161#17988463C2211yescharacteristic, complemented
162#17988463C2211yescharacteristic, complemented
163#17988462C2211yescharacteristic, complemented
164#17988461C2211yescharacteristic, complemented
165#17988461C2211yescharacteristic, complemented
166#17988460C2211yescharacteristic, complemented
167#17988459C2211yescharacteristic, complemented
168#17988458C2211yescharacteristic, complemented
169#17988458C2211yescharacteristic, complemented
170#95×D73C2211yescharacteristic
171#95×D73C2211yescharacteristic
172#95×D73C2211yescharacteristic
173#95×D73C2211yescharacteristic
174#95×D73C2211yescharacteristic
175#95×D73C2211yescharacteristic
176C2×#123×C73C2211yescharacteristic, complemented
177C2×#121×C73C2211yescharacteristic, complemented
178C2×C4×D4×C73C2211yescharacteristic, complemented
179C2×C4×D4×C73C2211yescharacteristic, complemented
180#396×C73C2211yescharacteristic, complemented
181#392×C73C2211yescharacteristic, complemented
182#392×C73C2211yescharacteristic, complemented
183#392×C73C2211yescharacteristic, complemented
184#390×C73C2211yescharacteristic, complemented
185#388×C73C2211yescharacteristic, complemented
186#388×C73C2211yescharacteristic, complemented
187#387×C73C2211yescharacteristic, complemented
188#386×C73C2211yescharacteristic, complemented
189#386×C73C2211yescharacteristic, complemented
190#385×C73C2211yescharacteristic, complemented
191C24×D73C2311yescharacteristic
192C24×D73C2311yescharacteristic
193C24×D73C2311yescharacteristic
194C24×D73C2311yescharacteristic
195C22×D292C2311yescharacteristic
196C22×D292C2311yescharacteristic
197C22×D292C2311yescharacteristic
198C22×D292C2311yescharacteristic
199C22×D292C2311yescharacteristic
200C22×D292C2311yescharacteristic
201C22×C22⋊D73C2311yescharacteristic
202C22×C22⋊D73C2311yescharacteristic
203C22×C22⋊D73C2311yescharacteristic
204C22×C22⋊D73C2311yescharacteristic
205C22×C22⋊D73C2311yescharacteristic
206C22×C22⋊D73C2311yescharacteristic
207C22×C22⋊D73C2311yescharacteristic
208C22×C22⋊D73C2311yescharacteristic
209C22×C22⋊D73C2311yescharacteristic
210C22×C22⋊D73C2311yescharacteristic
211C22×C22⋊D73C2311yescharacteristic
212C22×C22⋊D73C2311yescharacteristic
213C2×D4×D73—24no—
214C2×D4×D73—24no—
215C2×D4×D73—24no—
216C2×D4×D73—24no—
217C2×D4×D73—24no—
218C2×D4×D73—24no—
219C2×D4×D73—24no—
220C2×D4×D73—24no—
221C2×D4×D73—24no—
222C2×D4×D73—24no—
223C2×D4×D73—24no—
224C2×D4×D73—24no—
225C2×D4×D73—24no—
226C2×D4×D73—42no—
227C2×D4×D73—42no—
228C2×D4×D73—42no—
229C2×D4×D73—42no—
230C2×D4×D73—42no—
231C23×Dic73C2311yescharacteristic
232C23×Dic73C2311yescharacteristic
233C23×Dic73C2311yescharacteristic
234C22×C4×D73—24no—
235C22×C4×D73—24no—
236C22×C4×D73—24no—
237C22×C4×D73—24no—
238C22×C4×D73—24no—
239C22×C4×D73—24no—
240C22×C4×D73—42no—
241C22×C4×D73—42no—
242C22×C4×D73—42no—
243C22×C4×D73C2311yescharacteristic
244C22×C4×D73C2311yescharacteristic
245C22×C4×D73C2311yescharacteristic
246C22×C4×D73C2311yescharacteristic
247C22×C4×D73C2311yescharacteristic
248C22×C4×D73C2311yescharacteristic
249C22×C4×D73C2311yescharacteristic
250C22×C4×D73C2311yescharacteristic
251C22×C4×D73C2311yescharacteristic
252C22×C4×D73C2311yescharacteristic
253C22×C4×D73C2311yescharacteristic
254C22×C4×D73C2311yescharacteristic
255C22×C4×D73C2311yescharacteristic
256C22×C4×D73C2311yescharacteristic
257C22×C4×D73C2311yescharacteristic
258C22×C4×D73C2311yescharacteristic
259C22×C4×D73C2311yescharacteristic
260#14556576—24no—
261#14556576—24no—
262#14556575—24no—
263#14556574—24no—
264#14556573—24no—
265#14556573—24no—
266#14556572—24no—
267#14556566—24no—
268#14556565—24no—
269#14556564—24no—
270#14556564—24no—
271#14556563—24no—
272#14556563—24no—
273#14556562—24no—
274C4×D292—24no—
275C4×D292—24no—
276D4×Dic73—24no—
277D4×Dic73—24no—
278#14556553—24no—
279#14556553—24no—
280C4×C22⋊D73—24no—
281C4×C22⋊D73—24no—
282C4×C22⋊D73—24no—
283C4×C22⋊D73—24no—
284#14556551—24no—
285#14556551—24no—
286#14556551—24no—
287#14556551—24no—
288C2×C4⋊Dic73C2311yescharacteristic
289C2×C4⋊Dic73C2311yescharacteristic
290C2×C4⋊Dic73C2311yescharacteristic
291C2×C4⋊Dic73C2311yescharacteristic
292C2×C4⋊Dic73C2311yescharacteristic
293C2×#11924007C2311yescharacteristic
294C2×#11924007C2311yescharacteristic
295C2×#11924007C2311yescharacteristic
296C2×#11924007C2311yescharacteristic
297C2×#11924007C2311yescharacteristic
298C2×#11924007C2311yescharacteristic
299C2×#11924007C2311yescharacteristic
300C2×#11924007C2311yescharacteristic
301C2×#11924007C2311yescharacteristic
302C2×#11924007C2311yescharacteristic
303C4⋊C4×D73—24no—
304C4⋊C4×D73—24no—
305C4⋊C4×D73—24no—
306C4⋊C4×D73—42no—
307C4⋊C4×D73D418yescomplemented
308C2×C22⋊Dic73C2311yescharacteristic
309C2×C22⋊Dic73C2311yescharacteristic
310C2×C22⋊Dic73C2311yescharacteristic
311C2×C22⋊Dic73C2311yescharacteristic
312C2×C22⋊Dic73C2311yescharacteristic
313C2×C22⋊Dic73C2311yescharacteristic
314C2×C22⋊Dic73C2311yescharacteristic
315C2×C22⋊Dic73C2311yescharacteristic
316C2×C22⋊Dic73C2311yescharacteristic
317C2×C22⋊Dic73C2311yescharacteristic
318C2×C22⋊Dic73C2311yescharacteristic
319C2×C22⋊Dic73C2311yescharacteristic
320C2×C22⋊Dic73C2311yescharacteristic
321C2×#11924005C2311yescharacteristic
322C2×#11924005C2311yescharacteristic
323C2×#11924005C2311yescharacteristic
324C2×#11924005C2311yescharacteristic
325C2×#11924005C2311yescharacteristic
326C2×#11924005C2311yescharacteristic
327C2×#11924005C2311yescharacteristic
328C2×#11924005C2311yescharacteristic
329C2×#11924005C2311yescharacteristic
330C2×#11924005C2311yescharacteristic
331C2×#11924005C2311yescharacteristic
332C2×#11924005C2311yescharacteristic
333C2×#11924005C2311yescharacteristic
334C2×#11924005C2311yescharacteristic
335C2×#11924005C2311yescharacteristic
336C2×#11924005C2311yescharacteristic
337C2×#11924005C2311yescharacteristic
338C2×#11924005C2311yescharacteristic
339C2×#11924005C2311yescharacteristic
340C2×#11924005C2311yescharacteristic
341C2×#11924005C2311yescharacteristic
342C2×#11924005C2311yescharacteristic
343C2×#11924005C2311yescharacteristic
344C2×#11924005C2311yescharacteristic
345C2×#11924005C2311yescharacteristic
346C2×#11924005C2311yescharacteristic
347C22⋊C4×D73—24no—
348C22⋊C4×D73—24no—
349C22⋊C4×D73—24no—
350C22⋊C4×D73—24no—
351C22⋊C4×D73—24no—
352C22⋊C4×D73—24no—
353C22⋊C4×D73—24no—
354C22⋊C4×D73—24no—
355C22⋊C4×D73—24no—
356C22⋊C4×D73—42no—
357C22⋊C4×D73—42no—
358C22⋊C4×D73—42no—
359C22⋊C4×D73D418yescomplemented
360C2×C4×Dic73C2311yescharacteristic
361C2×C4×Dic73C2311yescharacteristic
362C2×C4×Dic73C2311yescharacteristic
363C2×C4×Dic73C2311yescharacteristic
364C2×C4×Dic73C2311yescharacteristic
365C2×C4×Dic73C2311yescharacteristic
366C42×D73—24no—
367C42×D73—24no—
368#14556498C2311yescharacteristic
369#14556498C2311yescharacteristic
370#14556498C2311yescharacteristic
371#14556498C2311yescharacteristic
372#14556498C2311yescharacteristic
373#14556498C2311yescharacteristic
374#14556498C2311yescharacteristic
375#14556498C2311yescharacteristic
376#14556498C2311yescharacteristic
377#14556498C2311yescharacteristic
378#14556498C2311yescharacteristic
379#14556498C2311yescharacteristic
380#14556498C2311yescharacteristic
381#14556498C2311yescharacteristic
382#14556498C2311yescharacteristic
383#14556498C2311yescharacteristic
384#14556498C2311yescharacteristic
385#14556498C2311yescharacteristic
386C22×D4×C73C2311yescharacteristic
387C22×D4×C73C2311yescharacteristic
388C22×D4×C73C2311yescharacteristic
389C22×D4×C73C2311yescharacteristic
390C22×D4×C73C2311yescharacteristic
391C22×D4×C73C2311yescharacteristic
392C23×C4×C73C2311yescharacteristic
393C23×C4×C73C2311yescharacteristic
394C23×C4×C73C2311yescharacteristic
395#123×C73—24no—
396#121×C73—24no—
397C4×D4×C73—24no—
398C4×D4×C73—24no—
399C2×C4⋊C4×C73C2311yescharacteristic
400C2×C4⋊C4×C73C2311yescharacteristic
401C2×C4⋊C4×C73C2311yescharacteristic
402C2×C4⋊C4×C73C2311yescharacteristic
403C2×C4⋊C4×C73C2311yescharacteristic
404C2×C22⋊C4×C73C2311yescharacteristic
405C2×C22⋊C4×C73C2311yescharacteristic
406C2×C22⋊C4×C73C2311yescharacteristic
407C2×C22⋊C4×C73C2311yescharacteristic
408C2×C22⋊C4×C73C2311yescharacteristic
409C2×C22⋊C4×C73C2311yescharacteristic
410C2×C22⋊C4×C73C2311yescharacteristic
411C2×C22⋊C4×C73C2311yescharacteristic
412C2×C22⋊C4×C73C2311yescharacteristic
413C2×C22⋊C4×C73C2311yescharacteristic
414C2×C22⋊C4×C73C2311yescharacteristic
415C2×C22⋊C4×C73C2311yescharacteristic
416C2×C22⋊C4×C73C2311yescharacteristic
417C2×C42×C73C2311yescharacteristic
418C2×C42×C73C2311yescharacteristic
419#95×C73C2311yescharacteristic
420#95×C73C2311yescharacteristic
421#95×C73C2311yescharacteristic
422#95×C73C2311yescharacteristic
423#95×C73C2311yescharacteristic
424#95×C73C2311yescharacteristic
425C23×D73—22no—
426C23×D73—22no—
427C23×D73—22no—
428C23×D73—22no—
429C23×D73—22no—
430C23×D73—22no—
431C23×D73—22no—
432C23×D73—22no—
433C23×D73—22no—
434C23×D73—22no—
435C23×D73—22no—
436C23×D73—22no—
437C23×D73—22no—
438C23×D73—22no—
439C23×D73—22no—
440C23×D73—22no—
441C23×D73—22no—
442C23×D73—22no—
443C23×D73—22no—
444C23×D73—22no—
445C23×D73—22no—
446C23×D73—22no—
447C23×D73—22no—
448C23×D73—22no—
449C23×D73—22no—
450C23×D73C2×D414yes—
451C23×D73#4114yes—
452C23×D73#4114yes—
453C23×D73C2411yescharacteristic
454C23×D73C2411yescharacteristic
455C23×D73C2411yescharacteristic
456C23×D73C2411yescharacteristic
457C23×D73C2411yescharacteristic
458C2×D292—22no—
459C2×D292—22no—
460C2×D292—22no—
461C2×D292—22no—
462C2×D292—22no—
463C2×D292—22no—
464C2×D292—22no—
465C2×D292—22no—
466C2×D292—22no—
467C2×D292—22no—
468C2×D292—22no—
469C2×D292—22no—
470C2×D292—22no—
471C2×D292—41no—
472C2×D292—41no—
473C2×D292—41no—
474C2×D292—41no—
475C2×D292—41no—
476C2×C22⋊D73—22no—
477C2×C22⋊D73—22no—
478C2×C22⋊D73—22no—
479C2×C22⋊D73—22no—
480C2×C22⋊D73—22no—
481C2×C22⋊D73—22no—
482C2×C22⋊D73—22no—
483C2×C22⋊D73—22no—
484C2×C22⋊D73—22no—
485C2×C22⋊D73—22no—
486C2×C22⋊D73—22no—
487C2×C22⋊D73—22no—
488C2×C22⋊D73—22no—
489C2×C22⋊D73—22no—
490C2×C22⋊D73—22no—
491C2×C22⋊D73—22no—
492C2×C22⋊D73—22no—
493C2×C22⋊D73—22no—
494C2×C22⋊D73—22no—
495C2×C22⋊D73—22no—
496C2×C22⋊D73—22no—
497C2×C22⋊D73—22no—
498C2×C22⋊D73—22no—
499C2×C22⋊D73—22no—
500C2×C22⋊D73—22no—
501C2×C22⋊D73—22no—
502C2×C22⋊D73—41no—
503C2×C22⋊D73—41no—
504C2×C22⋊D73—41no—
505C2×C22⋊D73—41no—
506C2×C22⋊D73—41no—
507C2×C22⋊D73—41no—
508C2×C22⋊D73—41no—
509C2×C22⋊D73—41no—
510C2×C22⋊D73—41no—
511C2×C22⋊D73—41no—
512D4×D73—232no—
513D4×D73—232no—
514D4×D73—416no—
515D4×D73—416no—
516D4×D73—416no—
517D4×D73—416no—
518C22×Dic73—22no—
519C22×Dic73—22no—
520C22×Dic73—22no—
521C22×Dic73—22no—
522C22×Dic73—22no—
523C22×Dic73—22no—
524C22×Dic73—41no—
525C22×Dic73—41no—
526C22×Dic73—41no—
527C22×Dic73C2411yescharacteristic
528C22×Dic73C2411yescharacteristic
529C22×Dic73C2411yescharacteristic
530C22×Dic73C2411yescharacteristic
531C22×Dic73C2411yescharacteristic
532C22×Dic73C2411yescharacteristic
533C22×Dic73C2411yescharacteristic
534C22×Dic73C2411yescharacteristic
535C22×Dic73C2411yescharacteristic
536C22×Dic73C2411yescharacteristic
537C22×Dic73C2411yescharacteristic
538C2×C4×D73—22no—
539C2×C4×D73—22no—
540C2×C4×D73—22no—
541C2×C4×D73—22no—
542C2×C4×D73—22no—
543C2×C4×D73—22no—
544C2×C4×D73—22no—
545C2×C4×D73—22no—
546C2×C4×D73—22no—
547C2×C4×D73—22no—
548C2×C4×D73—22no—
549C2×C4×D73—22no—
550C2×C4×D73—22no—
551C2×C4×D73—22no—
552C2×C4×D73—22no—
553C2×C4×D73—22no—
554C2×C4×D73—22no—
555C2×C4×D73—22no—
556C2×C4×D73—22no—
557C2×C4×D73—22no—
558C2×C4×D73—22no—
559C2×C4×D73—22no—
560C2×C4×D73—22no—
561C2×C4×D73—22no—
562C2×C4×D73—22no—
563C2×C4×D73—22no—
564C2×C4×D73—22no—
565C2×C4×D73—22no—
566C2×C4×D73—22no—
567C2×C4×D73—22no—
568C2×C4×D73—22no—
569C2×C4×D73—22no—
570C2×C4×D73—22no—
571C2×C4×D73—22no—
572C2×C4×D73—22no—
573C2×C4×D73—22no—
574C2×C4×D73—22no—
575C2×C4×D73—22no—
576C2×C4×D73—22no—
577C2×C4×D73—416no—
578C2×C4×D73—416no—
579C2×C4×D73—416no—
580C2×C4×D73—41no—
581C2×C4×D73—41no—
582C2×C4×D73—41no—
583C2×C4×D73—41no—
584C2×C4×D73—41no—
585C2×C4×D73—41no—
586C2×C4×D73C2×D414yes—
587C2×C4×D73C2×D414yes—
588C2×C4×D73C2×D414yes—
589C2×C4×D73C2×D414yes—
590C2×C4×D73C2×D414yes—
591C2×C4×D73#4114yes—
592C4⋊Dic73—22no—
593C4⋊Dic73—22no—
594C4⋊Dic73—22no—
595C4⋊Dic73—41no—
596C4⋊Dic73C2×D414yescomplemented
597#11924007—22no—
598#11924007—22no—
599#11924007—22no—
600#11924007—22no—
601#11924007—22no—
602#11924007—22no—
603#11924007—41no—
604#11924007—41no—
605#11924007C2×D414yescomplemented
606#11924007C2×D414yescomplemented
607C22⋊Dic73—22no—
608C22⋊Dic73—22no—
609C22⋊Dic73—22no—
610C22⋊Dic73—22no—
611C22⋊Dic73—22no—
612C22⋊Dic73—22no—
613C22⋊Dic73—22no—
614C22⋊Dic73—22no—
615C22⋊Dic73—22no—
616C22⋊Dic73—41no—
617C22⋊Dic73—41no—
618C22⋊Dic73—41no—
619C22⋊Dic73C2×D414yescomplemented
620#11924005—22no—
621#11924005—22no—
622#11924005—22no—
623#11924005—22no—
624#11924005—22no—
625#11924005—22no—
626#11924005—22no—
627#11924005—22no—
628#11924005—22no—
629#11924005—22no—
630#11924005—22no—
631#11924005—22no—
632#11924005—22no—
633#11924005—22no—
634#11924005—22no—
635#11924005—22no—
636#11924005—22no—
637#11924005—22no—
638#11924005—41no—
639#11924005—41no—
640#11924005—41no—
641#11924005—41no—
642#11924005—41no—
643#11924005—41no—
644#11924005C2×D414yescomplemented
645#11924005C2×D414yescomplemented
646C4×Dic73—22no—
647C4×Dic73—22no—
648C4×Dic73—22no—
649C4×Dic73—22no—
650C4×Dic73—22no—
651C4×Dic73—22no—
652C24×C73C2411yescharacteristic
653C24×C73C2411yescharacteristic
654C24×C73C2411yescharacteristic
655C24×C73C2411yescharacteristic
656C2×D4×C73—22no—
657C2×D4×C73—22no—
658C2×D4×C73—22no—
659C2×D4×C73—22no—
660C2×D4×C73—22no—
661C2×D4×C73—22no—
662C2×D4×C73—22no—
663C2×D4×C73—22no—
664C2×D4×C73—22no—
665C2×D4×C73—22no—
666C2×D4×C73—22no—
667C2×D4×C73—22no—
668C2×D4×C73—22no—
669C2×D4×C73—41no—
670C2×D4×C73—41no—
671C2×D4×C73—41no—
672C2×D4×C73—41no—
673C2×D4×C73—41no—
674C22×C4×C73—22no—
675C22×C4×C73—22no—
676C22×C4×C73—22no—
677C22×C4×C73—22no—
678C22×C4×C73—22no—
679C22×C4×C73—22no—
680C22×C4×C73—41no—
681C22×C4×C73—41no—
682C22×C4×C73—41no—
683C22×C4×C73C2411yescharacteristic
684C22×C4×C73C2411yescharacteristic
685C22×C4×C73C2411yescharacteristic
686C22×C4×C73C2411yescharacteristic
687C22×C4×C73C2411yescharacteristic
688C22×C4×C73C2411yescharacteristic
689C22×C4×C73C2411yescharacteristic
690C22×C4×C73C2411yescharacteristic
691C22×C4×C73C2411yescharacteristic
692C22×C4×C73C2411yescharacteristic
693C22×C4×C73C2411yescharacteristic
694C4⋊C4×C73—22no—
695C4⋊C4×C73—22no—
696C4⋊C4×C73—22no—
697C4⋊C4×C73—41no—
698C4⋊C4×C73C2×D414yescomplemented
699C22⋊C4×C73—22no—
700C22⋊C4×C73—22no—
701C22⋊C4×C73—22no—
702C22⋊C4×C73—22no—
703C22⋊C4×C73—22no—
704C22⋊C4×C73—22no—
705C22⋊C4×C73—22no—
706C22⋊C4×C73—22no—
707C22⋊C4×C73—22no—
708C22⋊C4×C73—41no—
709C22⋊C4×C73—41no—
710C22⋊C4×C73—41no—
711C22⋊C4×C73C2×D414yescomplemented
712C42×C73—22no—
713C42×C73—22no—
714C23×C73—21no—
715C23×C73—21no—
716C23×C73—21no—
717C23×C73—21no—
718C23×C73—21no—
719C23×C73—21no—
720C23×C73—21no—
721C23×C73—21no—
722C23×C73—21no—
723C23×C73—21no—
724C23×C73—21no—
725C23×C73—21no—
726C23×C73—21no—
727C23×C73—21no—
728C23×C73—21no—
729C23×C73—21no—
730C23×C73—21no—
731C23×C73—21no—
732C23×C73—21no—
733C23×C73—21no—
734C23×C73—21no—
735C23×C73—21no—
736C23×C73—21no—
737C23×C73—21no—
738C23×C73—21no—
739C23×C73C22×D412yes—
740C23×C73C2×#4112yes—
741C23×C73C2×#4112yes—
742C23×C73C2511yescharacteristic
743C22×D73—21no—
744C22×D73—21no—
745C22×D73—21no—
746C22×D73—21no—
747C22×D73—21no—
748C22×D73—21no—
749C22×D73—21no—
750C22×D73—21no—
751C22×D73—21no—
752C22×D73—21no—
753C22×D73—21no—
754C22×D73—21no—
755C22×D73—21no—
756C22×D73—21no—
757C22×D73—21no—
758C22×D73—21no—
759C22×D73—21no—
760C22×D73—21no—
761C22×D73—28no—
762C22×D73—28no—
763C22×D73—28no—
764C22×D73—28no—
765C22×D73—28no—
766C22×D73—28no—
767C22×D73—28no—
768C22×D73—28no—
769C22×D73—28no—
770C22×D73—21no—
771C22×D73—21no—
772C22×D73—21no—
773C22×D73—21no—
774C22×D73—21no—
775C22×D73—21no—
776C22×D73—21no—
777C22×D73—44no—
778C22×D73—44no—
779C22×D73—44no—
780C22×D73—44no—
781C22×D73—44no—
782C22×D73—44no—
783C22×D73—44no—
784C22×D73—44no—
785C22×D73—44no—
786C22×D73—44no—
787C22×D73—44no—
788C22×D73—44no—
789C22×D73—44no—
790C22×D73—44no—
791C22×D73—44no—
792C22×D73—44no—
793C22×D73—44no—
794C22×D73—44no—
795C22×D73—44no—
796C22×D73C22×D412yes—
797C22×D73C22×D412yes—
798C22×D73C22×D412yes—
799C22×D73C2×#4112yes—
800C22×D73C2×#4112yes—
801C22×D73C2×#4112yes—
802C22×D73C2×#4112yes—
803C22×D73C2×#4112yes—
804C22×D73H(5,𝔽2)12yes—
805C22×D73H(5,𝔽2)12yes—
806D4×C73—28no—
807D4×C73—28no—
808D4×C73—44no—
809D4×C73—44no—
810D4×C73—44no—
811D4×C73—44no—
812C2×C4×C73—21no—
813C2×C4×C73—21no—
814C2×C4×C73—21no—
815C2×C4×C73—21no—
816C2×C4×C73—21no—
817C2×C4×C73—21no—
818C2×C4×C73—21no—
819C2×C4×C73—21no—
820C2×C4×C73—21no—
821C2×C4×C73—21no—
822C2×C4×C73—21no—
823C2×C4×C73—21no—
824C2×C4×C73—21no—
825C2×C4×C73—21no—
826C2×C4×C73—21no—
827C2×C4×C73—21no—
828C2×C4×C73—21no—
829C2×C4×C73—21no—
830C2×C4×C73—21no—
831C2×C4×C73—21no—
832C2×C4×C73—21no—
833C2×C4×C73—21no—
834C2×C4×C73—21no—
835C2×C4×C73—21no—
836C2×C4×C73—21no—
837C2×C4×C73—21no—
838C2×C4×C73—21no—
839C2×C4×C73—44no—
840C2×C4×C73—44no—
841C2×C4×C73—44no—
842C2×C4×C73C22×D412yes—
843C2×C4×C73C22×D412yes—
844C2×C4×C73C22×D412yes—
845C2×C4×C73C22×D412yes—
846C2×C4×C73C22×D412yes—
847C2×C4×C73C2×#4112yes—
848C22⋊D73—28no—
849C22⋊D73—28no—
850C22⋊D73—28no—
851C22⋊D73—28no—
852C22⋊D73—44no—
853C22⋊D73—44no—
854C22⋊D73—44no—
855C22⋊D73—44no—
856C22⋊D73—44no—
857C22⋊D73—44no—
858C22⋊D73—44no—
859C22⋊D73—44no—
860C2×Dic73—21no—
861C2×Dic73—21no—
862C2×Dic73—21no—
863C2×Dic73—21no—
864C2×Dic73—21no—
865C2×Dic73—21no—
866C2×Dic73—21no—
867C2×Dic73—21no—
868C2×Dic73—21no—
869C2×Dic73—21no—
870C2×Dic73—21no—
871C2×Dic73—21no—
872C2×Dic73—21no—
873C2×Dic73—21no—
874C2×Dic73—21no—
875C2×Dic73—21no—
876C2×Dic73—21no—
877C2×Dic73—21no—
878C2×Dic73—21no—
879C2×Dic73—21no—
880C2×Dic73—21no—
881C2×Dic73—21no—
882C2×Dic73—21no—
883C2×Dic73—21no—
884C2×Dic73—21no—
885C2×Dic73—21no—
886C2×Dic73—21no—
887C2×Dic73—44no—
888C2×Dic73—44no—
889C2×Dic73—44no—
890C2×Dic73C22×D412yes—
891C2×Dic73C22×D412yes—
892C2×Dic73C22×D412yes—
893C2×Dic73C22×D412yes—
894C2×Dic73C22×D412yes—
895C2×Dic73C2×#4112yes—
896D292—28no—
897D292—28no—
898D292—44no—
899D292—44no—
900D292—44no—
901D292—44no—
902C4×D73—28no—
903C4×D73—28no—
904C4×D73—28no—
905C4×D73—28no—
906C4×D73—28no—
907C4×D73—28no—
908C4×D73—44no—
909C4×D73—44no—
910C4×D73—44no—
911C4×D73—44no—
912C4×D73—44no—
913C4×D73—44no—
914C4×D73—44no—
915C4×D73—44no—
916C4×D73—44no—
917C4×D73—44no—
918C4×D73—44no—
919C22×C73—22no—
920C22×C73—22no—
921C22×C73—22no—
922C22×C73—22no—
923C22×C73—22no—
924C22×C73—22no—
925C22×C73—22no—
926C22×C73—22no—
927C22×C73—22no—
928C22×C73—41no—
929C22×C73—41no—
930C22×C73—41no—
931C22×C73—41no—
932C22×C73—41no—
933C22×C73—41no—
934C22×C73—41no—
935C22×C73—41no—
936C22×C73—41no—
937C22×C73—41no—
938C22×C73—41no—
939C22×C73—41no—
940C22×C73—41no—
941C22×C73—41no—
942C22×C73—41no—
943C22×C73—41no—
944C22×C73—41no—
945C22×C73—41no—
946C22×C73—41no—
947C22×C73C23×D411yescharacteristic
948C22×C73C23×D411yescharacteristic
949C22×C73C22×#4111yescharacteristic
950C22×C73C22×#4111yescharacteristic
951C22×C73C22×#4111yescharacteristic
952C22×C73C2×H(5,𝔽2)11yescharacteristic
953C22×C73C2×H(5,𝔽2)11yescharacteristic
954C2×D73—22no—
955C2×D73—22no—
956C2×D73—22no—
957C2×D73—22no—
958C2×D73—22no—
959C2×D73—22no—
960C2×D73—22no—
961C2×D73—22no—
962C2×D73—22no—
963C2×D73—41no—
964C2×D73—41no—
965C2×D73—41no—
966C2×D73—41no—
967C2×D73—41no—
968C2×D73—41no—
969C2×D73—41no—
970C2×D73—41no—
971C2×D73—41no—
972C2×D73—41no—
973C2×D73—41no—
974C2×D73—41no—
975C2×D73—416no—
976C2×D73—416no—
977C2×D73—416no—
978C2×D73—41no—
979C2×D73—41no—
980C2×D73—41no—
981C2×D73—41no—
982C2×D73—41no—
983C2×D73—41no—
984C2×D73—41no—
985C2×D73—88no—
986C2×D73#52514yes—
987C2×D73#52514yes—
988C2×D73#53814yes—
989C2×D73D4214yes—
990C2×D73#54614yes—
991C2×D73#55014yes—
992C2×D73#55314yes—
993C4×C73—22no—
994C4×C73—22no—
995C4×C73—22no—
996C4×C73—22no—
997C4×C73—22no—
998C4×C73—22no—
999C4×C73—41no—
1000C4×C73—41no—
1001C4×C73—41no—
1002C4×C73—41no—
1003C4×C73—41no—
1004Dic73—22no—
1005Dic73—22no—
1006Dic73—22no—
1007Dic73—22no—
1008Dic73—22no—
1009Dic73—22no—
1010Dic73—41no—
1011Dic73—41no—
1012Dic73—41no—
1013Dic73—41no—
1014Dic73—41no—
1015C2×#2456—731nomaximal, Sylow
1016C2×C73—42no—
1017C2×C73—42no—
1018C2×C73—42no—
1019C2×C73—81no—
1020C2×C73C2×#52511yescharacteristic
1021C2×C73C2×#52511yescharacteristic
1022C2×C73C2×#53811yescharacteristic
1023C2×C73C2×D4211yescharacteristic
1024C2×C73C2×#54611yescharacteristic
1025C2×C73C2×#55011yescharacteristic
1026C2×C73C2×#55311yescharacteristic
1027D73—42no—
1028D73—42no—
1029D73—42no—
1030D73—81no—
1031D73#245618yesdirect product factor
1032C22×#123—731no—
1033C22×#121—731no—
1034C22×C4×D4—731no—
1035C22×C4×D4—731no—
1036#2456—731no—
1037#2456—731no—
1038#2456—731no—
1039#2456—731no—
1040#2456—731no—
1041#2456—731no—
1042#2456—731no—
1043#2456—731no—
1044#2456—731no—
1045#2456—731no—
1046#2456—731no—
1047#2456—731no—
1048#2456—731no—
1049#2456—731no—
1050#2456—731no—
1051#2456D7311yescharacteristic, direct product factor
1052C2×#396—731no—
1053C2×#392—731no—
1054C2×#392—731no—
1055C2×#392—731no—
1056C2×#390—731no—
1057C2×#388—731no—
1058C2×#388—731no—
1059C2×#387—731no—
1060C2×#386—731no—
1061C2×#386—731no—
1062C2×#385—731no—
1063C73C2×#245611yescharacteristic, complemented, Sylow
1064C23×D4—731no—
1065C23×D4—731no—
1066C23×D4—731no—
1067C23×D4—731no—
1068C23×D4—731no—
1069C23×D4—731no—
1070C24×C4—731no—
1071C24×C4—731no—
1072C24×C4—731no—
1073C2×#123—731no—
1074C2×#123—731no—
1075C2×#123—731no—
1076C2×#123—731no—
1077C2×#123—731no—
1078C2×#123—731no—
1079C2×#123—731no—
1080C2×#123—1468no—
1081C2×#123C2×D7311yescharacteristic, complemented
1082C2×#121—731no—
1083C2×#121—731no—
1084C2×#121—731no—
1085C2×#121—731no—
1086C2×#121—731no—
1087C2×#121—731no—
1088C2×#121—731no—
1089C2×#121—1468no—
1090C2×#121C2×D7311yescharacteristic, complemented
1091C2×C4×D4—731no—
1092C2×C4×D4—731no—
1093C2×C4×D4—731no—
1094C2×C4×D4—731no—
1095C2×C4×D4—731no—
1096C2×C4×D4—731no—
1097C2×C4×D4—731no—
1098C2×C4×D4—731no—
1099C2×C4×D4—731no—
1100C2×C4×D4—731no—
1101C2×C4×D4—731no—
1102C2×C4×D4—731no—
1103C2×C4×D4—731no—
1104C2×C4×D4—731no—
1105C2×C4×D4—1468no—
1106C2×C4×D4—1468no—
1107C2×C4×D4C2×D7311yescharacteristic, complemented
1108C2×C4×D4C2×D7311yescharacteristic, complemented
1109C22×C4⋊C4—731no—
1110C22×C4⋊C4—731no—
1111C22×C4⋊C4—731no—
1112C22×C4⋊C4—731no—
1113C22×C4⋊C4—731no—
1114C22×C22⋊C4—731no—
1115C22×C22⋊C4—731no—
1116C22×C22⋊C4—731no—
1117C22×C22⋊C4—731no—
1118C22×C22⋊C4—731no—
1119C22×C22⋊C4—731no—
1120C22×C22⋊C4—731no—
1121C22×C22⋊C4—731no—
1122C22×C22⋊C4—731no—
1123C22×C22⋊C4—731no—
1124C22×C22⋊C4—731no—
1125C22×C22⋊C4—731no—
1126C22×C22⋊C4—731no—
1127C22×C42—731no—
1128C22×C42—731no—
1129#396—731no—
1130#396—731no—
1131#396—731no—
1132#396—731no—
1133#396—731no—
1134#396—731no—
1135#396—731no—
1136#396C2×D7311yescharacteristic, complemented
1137#392—731no—
1138#392—731no—
1139#392—731no—
1140#392—731no—
1141#392—731no—
1142#392—731no—
1143#392—731no—
1144#392—731no—
1145#392—731no—
1146#392—731no—
1147#392—731no—
1148#392—731no—
1149#392—731no—
1150#392—731no—
1151#392—731no—
1152#392—731no—
1153#392—731no—
1154#392—731no—
1155#392—731no—
1156#392—731no—
1157#392—731no—
1158#392C2×D7311yescharacteristic, complemented
1159#392C2×D7311yescharacteristic, complemented
1160#392C2×D7311yescharacteristic, complemented
1161#390—731no—
1162#390—731no—
1163#390—731no—
1164#390—731no—
1165#390—731no—
1166#390—731no—
1167#390—731no—
1168#390C2×D7311yescharacteristic, complemented
1169#388—731no—
1170#388—731no—
1171#388—731no—
1172#388—731no—
1173#388—731no—
1174#388—731no—
1175#388—731no—
1176#388—731no—
1177#388—731no—
1178#388—731no—
1179#388—731no—
1180#388—731no—
1181#388—731no—
1182#388—731no—
1183#388C2×D7311yescharacteristic, complemented
1184#388C2×D7311yescharacteristic, complemented
1185#387—731no—
1186#387—731no—
1187#387—731no—
1188#387—731no—
1189#387—731no—
1190#387—731no—
1191#387—731no—
1192#387C2×D7311yescharacteristic, complemented
1193#386—731no—
1194#386—731no—
1195#386—731no—
1196#386—731no—
1197#386—731no—
1198#386—731no—
1199#386—731no—
1200#386—731no—
1201#386—731no—
1202#386—731no—
1203#386—731no—
1204#386—731no—
1205#386—731no—
1206#386—731no—
1207#386C2×D7311yescharacteristic, complemented
1208#386C2×D7311yescharacteristic, complemented
1209#385—731no—
1210#385—731no—
1211#385—731no—
1212#385—731no—
1213#385—731no—
1214#385—731no—
1215#385—731no—
1216#385C2×D7311yescharacteristic, complemented
1217C2×#95—731no—
1218C2×#95—731no—
1219C2×#95—731no—
1220C2×#95—731no—
1221C2×#95—731no—
1222C2×#95—731no—
1223C25—731no—
1224C25—731no—
1225C25—731no—
1226C25—731no—
1227C22×D4—2922no—
1228C22×D4—2922no—
1229C22×D4—2922no—
1230C22×D4—2922no—
1231C22×D4—2922no—
1232C22×D4—731no—
1233C22×D4—731no—
1234C22×D4—731no—
1235C22×D4—731no—
1236C22×D4—731no—
1237C22×D4—731no—
1238C22×D4—731no—
1239C22×D4—731no—
1240C22×D4—731no—
1241C22×D4—731no—
1242C22×D4—731no—
1243C22×D4—731no—
1244C22×D4—731no—
1245C22×D4—731no—
1246C22×D4—731no—
1247C22×D4—731no—
1248C22×D4—731no—
1249C22×D4—731no—
1250C22×D4—1464no—
1251C22×D4—1464no—
1252C22×D4—1464no—
1253C22×D4—1464no—
1254C22×D4—1464no—
1255C22×D4—1464no—
1256C22×D4—1464no—
1257C22×D4—1464no—
1258C22×D4—1464no—
1259C22×D4—1464no—
1260C22×D4—1464no—
1261C22×D4—1464no—
1262C22×D4—1464no—
1263C22×D4C22×D7311yescharacteristic
1264C22×D4C22×D7311yescharacteristic
1265C22×D4C22×D7311yescharacteristic
1266C22×D4C22×D7311yescharacteristic
1267C22×D4C22×D7311yescharacteristic
1268C22×D4C22×D7311yescharacteristic
1269C23×C4—2922no—
1270C23×C4—2922no—
1271C23×C4—2922no—
1272C23×C4—731no—
1273C23×C4—731no—
1274C23×C4—731no—
1275C23×C4—731no—
1276C23×C4—731no—
1277C23×C4—731no—
1278C23×C4—731no—
1279C23×C4—731no—
1280C23×C4—731no—
1281C23×C4—731no—
1282C23×C4—731no—
1283C23×C4—731no—
1284C23×C4—731no—
1285C23×C4—731no—
1286C23×C4—731no—
1287C23×C4—731no—
1288C23×C4—731no—
1289C23×C4—731no—
1290C23×C4—731no—
1291C23×C4—731no—
1292C23×C4—1464no—
1293C23×C4—1464no—
1294C23×C4—1464no—
1295C23×C4—1464no—
1296C23×C4—1464no—
1297C23×C4—1464no—
1298C23×C4C22×D7311yescharacteristic
1299C23×C4C22×D7311yescharacteristic
1300C23×C4C22×D7311yescharacteristic
1301#123—24no—
1302#123—1464no—
1303#123—1464no—
1304#123—1464no—
1305#123—1464no—
1306#123—1464no—
1307#123—1464no—
1308#123—1464no—
1309#121—24no—
1310#121—1464no—
1311#121—1464no—
1312#121—1464no—
1313#121—1464no—
1314#121—1464no—
1315#121—1464no—
1316#121—1464no—
1317C4×D4—24no—
1318C4×D4—24no—
1319C4×D4—1464no—
1320C4×D4—1464no—
1321C4×D4—1464no—
1322C4×D4—1464no—
1323C4×D4—1464no—
1324C4×D4—1464no—
1325C4×D4—1464no—
1326C4×D4—1464no—
1327C4×D4—1464no—
1328C4×D4—1464no—
1329C4×D4—1464no—
1330C4×D4—1464no—
1331C4×D4—1464no—
1332C4×D4—1464no—
1333C2×C4⋊C4—2922no—
1334C2×C4⋊C4—731no—
1335C2×C4⋊C4—731no—
1336C2×C4⋊C4—731no—
1337C2×C4⋊C4—731no—
1338C2×C4⋊C4—731no—
1339C2×C4⋊C4—731no—
1340C2×C4⋊C4—738no—
1341C2×C4⋊C4—731no—
1342C2×C4⋊C4—731no—
1343C2×C4⋊C4—731no—
1344C2×C4⋊C4—731no—
1345C2×C4⋊C4—731no—
1346C2×C4⋊C4—731no—
1347C2×C4⋊C4—731no—
1348C2×C4⋊C4—731no—
1349C2×C4⋊C4—731no—
1350C2×C4⋊C4—1464no—
1351C2×C4⋊C4—1464no—
1352C2×C4⋊C4—1464no—
1353C2×C4⋊C4C22×D7311yescharacteristic
1354C2×C4⋊C4C22×D7311yescharacteristic
1355C2×C4⋊C4C22×D7311yescharacteristic
1356C2×C4⋊C4C22×D7311yescharacteristic
1357C2×C4⋊C4C22×D7311yescharacteristic
1358C2×C22⋊C4—2922no—
1359C2×C22⋊C4—2922no—
1360C2×C22⋊C4—2922no—
1361C2×C22⋊C4—731no—
1362C2×C22⋊C4—731no—
1363C2×C22⋊C4—731no—
1364C2×C22⋊C4—731no—
1365C2×C22⋊C4—731no—
1366C2×C22⋊C4—731no—
1367C2×C22⋊C4—731no—
1368C2×C22⋊C4—731no—
1369C2×C22⋊C4—731no—
1370C2×C22⋊C4—731no—
1371C2×C22⋊C4—731no—
1372C2×C22⋊C4—731no—
1373C2×C22⋊C4—738no—
1374C2×C22⋊C4—731no—
1375C2×C22⋊C4—731no—
1376C2×C22⋊C4—731no—
1377C2×C22⋊C4—731no—
1378C2×C22⋊C4—731no—
1379C2×C22⋊C4—731no—
1380C2×C22⋊C4—731no—
1381C2×C22⋊C4—731no—
1382C2×C22⋊C4—731no—
1383C2×C22⋊C4—731no—
1384C2×C22⋊C4—731no—
1385C2×C22⋊C4—731no—
1386C2×C22⋊C4—731no—
1387C2×C22⋊C4—731no—
1388C2×C22⋊C4—731no—
1389C2×C22⋊C4—731no—
1390C2×C22⋊C4—731no—
1391C2×C22⋊C4—731no—
1392C2×C22⋊C4—731no—
1393C2×C22⋊C4—731no—
1394C2×C22⋊C4—731no—
1395C2×C22⋊C4—731no—
1396C2×C22⋊C4—731no—
1397C2×C22⋊C4—731no—
1398C2×C22⋊C4—731no—
1399C2×C22⋊C4—731no—
1400C2×C22⋊C4—731no—
1401C2×C22⋊C4—1464no—
1402C2×C22⋊C4—1464no—
1403C2×C22⋊C4—1464no—
1404C2×C22⋊C4—1464no—
1405C2×C22⋊C4—1464no—
1406C2×C22⋊C4—1464no—
1407C2×C22⋊C4—1464no—
1408C2×C22⋊C4—1464no—
1409C2×C22⋊C4—1464no—
1410C2×C22⋊C4C22×D7311yescharacteristic
1411C2×C22⋊C4C22×D7311yescharacteristic
1412C2×C22⋊C4C22×D7311yescharacteristic
1413C2×C22⋊C4C22×D7311yescharacteristic
1414C2×C22⋊C4C22×D7311yescharacteristic
1415C2×C22⋊C4C22×D7311yescharacteristic
1416C2×C22⋊C4C22×D7311yescharacteristic
1417C2×C22⋊C4C22×D7311yescharacteristic
1418C2×C22⋊C4C22×D7311yescharacteristic
1419C2×C22⋊C4C22×D7311yescharacteristic
1420C2×C22⋊C4C22×D7311yescharacteristic
1421C2×C22⋊C4C22×D7311yescharacteristic
1422C2×C22⋊C4C22×D7311yescharacteristic
1423C2×C42—731no—
1424C2×C42—731no—
1425C2×C42—731no—
1426C2×C42—731no—
1427C2×C42—731no—
1428C2×C42—731no—
1429C2×C42—1464no—
1430C2×C42—1464no—
1431C2×C42C22×D7311yescharacteristic
1432C2×C42C22×D7311yescharacteristic
1433#95—731no—
1434#95—731no—
1435#95—731no—
1436#95—731no—
1437#95—731no—
1438#95—731no—
1439#95—731no—
1440#95—731no—
1441#95—731no—
1442#95—731no—
1443#95—731no—
1444#95—731no—
1445#95—731no—
1446#95—731no—
1447#95—731no—
1448#95—731no—
1449#95—731no—
1450#95—731no—
1451#95C22×D7311yescharacteristic
1452#95C22×D7311yescharacteristic
1453#95C22×D7311yescharacteristic
1454#95C22×D7311yescharacteristic
1455#95C22×D7311yescharacteristic
1456#95C22×D7311yescharacteristic
1457C24—731no—
1458C24—734no—
1459C24—734no—
1460C24—734no—
1461C24—731no—
1462C24—731no—
1463C24—731no—
1464C24—731no—
1465C24—1462no—
1466C24—1462no—
1467C24—1462no—
1468C24—1462no—
1469C24—1462no—
1470C24—1462no—
1471C24—1462no—
1472C24—1462no—
1473C24—1462no—
1474C24—1462no—
1475C24—1462no—
1476C24—1462no—
1477C24—1462no—
1478C24—1462no—
1479C24—1462no—
1480C24—1462no—
1481C24—1462no—
1482C24—1462no—
1483C24—1462no—
1484C24—1462no—
1485C24—1462no—
1486C24—1462no—
1487C24—1462no—
1488C24—1462no—
1489C24—1462no—
1490C24C23×D7311yescharacteristic
1491C24C23×D7311yescharacteristic
1492C24C23×D7311yescharacteristic
1493C24C23×D7311yescharacteristic
1494C2×D4—22no—
1495C2×D4—22no—
1496C2×D4—22no—
1497C2×D4—22no—
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—22no—
1501C2×D4—22no—
1502C2×D4—22no—
1503C2×D4—22no—
1504C2×D4—22no—
1505C2×D4—22no—
1506C2×D4—22no—
1507C2×D4—41no—
1508C2×D4—41no—
1509C2×D4—41no—
1510C2×D4—41no—
1511C2×D4—41no—
1512C2×D4—2921no—
1513C2×D4—2921no—
1514C2×D4—2921no—
1515C2×D4—2921no—
1516C2×D4—2921no—
1517C2×D4—29216no—
1518C2×D4—29216no—
1519C2×D4—29216no—
1520C2×D4—29216no—
1521C2×D4—2921no—
1522C2×D4—2921no—
1523C2×D4—2921no—
1524C2×D4—2921no—
1525C2×D4—2921no—
1526C2×D4—2921no—
1527C2×D4—2921no—
1528C2×D4—2921no—
1529C2×D4—2921no—
1530C2×D4—2921no—
1531C2×D4—1462no—
1532C2×D4—1462no—
1533C2×D4—1462no—
1534C2×D4—1462no—
1535C2×D4—1462no—
1536C2×D4—1462no—
1537C2×D4—1462no—
1538C2×D4—1462no—
1539C2×D4—1462no—
1540C2×D4—1462no—
1541C2×D4—1462no—
1542C2×D4—1462no—
1543C2×D4—1462no—
1544C2×D4—1462no—
1545C2×D4—1462no—
1546C2×D4—1462no—
1547C2×D4—1462no—
1548C2×D4—14632no—
1549C2×D4—14632no—
1550C2×D4—1462no—
1551C2×D4—1462no—
1552C2×D4—1462no—
1553C2×D4—1462no—
1554C2×D4—1462no—
1555C2×D4—1462no—
1556C2×D4—1462no—
1557C2×D4—1462no—
1558C2×D4—1462no—
1559C2×D4—1462no—
1560C2×D4—1462no—
1561C2×D4—1462no—
1562C2×D4—1462no—
1563C2×D4—1462no—
1564C2×D4—1462no—
1565C2×D4—1462no—
1566C2×D4—1462no—
1567C2×D4—1462no—
1568C2×D4—1462no—
1569C2×D4—1462no—
1570C2×D4—1462no—
1571C2×D4—1462no—
1572C22×C4—22no—
1573C22×C4—22no—
1574C22×C4—22no—
1575C22×C4—22no—
1576C22×C4—22no—
1577C22×C4—22no—
1578C22×C4—41no—
1579C22×C4—41no—
1580C22×C4—41no—
1581C22×C4—2921no—
1582C22×C4—2921no—
1583C22×C4—2921no—
1584C22×C4—2921no—
1585C22×C4—2921no—
1586C22×C4—2921no—
1587C22×C4—29216no—
1588C22×C4—29216no—
1589C22×C4—29216no—
1590C22×C4—2921no—
1591C22×C4—2921no—
1592C22×C4—2921no—
1593C22×C4—731no—
1594C22×C4—731no—
1595C22×C4—731no—
1596C22×C4—731no—
1597C22×C4—731no—
1598C22×C4—731no—
1599C22×C4—734no—
1600C22×C4—734no—
1601C22×C4—734no—
1602C22×C4—734no—
1603C22×C4—734no—
1604C22×C4—734no—
1605C22×C4—731no—
1606C22×C4—731no—
1607C22×C4—731no—
1608C22×C4—731no—
1609C22×C4—731no—
1610C22×C4—1462no—
1611C22×C4—1462no—
1612C22×C4—1462no—
1613C22×C4—1462no—
1614C22×C4—1462no—
1615C22×C4—1462no—
1616C22×C4—1462no—
1617C22×C4—1462no—
1618C22×C4—1462no—
1619C22×C4—1462no—
1620C22×C4—1462no—
1621C22×C4—1462no—
1622C22×C4—1462no—
1623C22×C4—1462no—
1624C22×C4—1462no—
1625C22×C4—1462no—
1626C22×C4—1462no—
1627C22×C4—1462no—
1628C22×C4—1462no—
1629C22×C4—1462no—
1630C22×C4—1462no—
1631C22×C4—1462no—
1632C22×C4—1462no—
1633C22×C4—1462no—
1634C22×C4—1462no—
1635C22×C4—1462no—
1636C22×C4—1462no—
1637C22×C4—1462no—
1638C22×C4—1462no—
1639C22×C4—1462no—
1640C22×C4—1462no—
1641C22×C4—1462no—
1642C22×C4—1462no—
1643C22×C4—1462no—
1644C22×C4—1462no—
1645C22×C4—1462no—
1646C22×C4—1462no—
1647C22×C4—1462no—
1648C22×C4—1462no—
1649C22×C4—1462no—
1650C22×C4—1462no—
1651C22×C4—1462no—
1652C22×C4—1462no—
1653C22×C4—1462no—
1654C22×C4—1462no—
1655C22×C4C23×D7311yescharacteristic
1656C22×C4C23×D7311yescharacteristic
1657C22×C4C23×D7311yescharacteristic
1658C22×C4C23×D7311yescharacteristic
1659C22×C4C23×D7311yescharacteristic
1660C22×C4C23×D7311yescharacteristic
1661C22×C4C23×D7311yescharacteristic
1662C22×C4C23×D7311yescharacteristic
1663C22×C4C23×D7311yescharacteristic
1664C22×C4C23×D7311yescharacteristic
1665C22×C4C23×D7311yescharacteristic
1666C4⋊C4—22no—
1667C4⋊C4—22no—
1668C4⋊C4—22no—
1669C4⋊C4—41no—
1670C4⋊C4—2921no—
1671C4⋊C4—2921no—
1672C4⋊C4—2921no—
1673C4⋊C4—734no—
1674C4⋊C4—734no—
1675C4⋊C4—734no—
1676C4⋊C4—1462no—
1677C4⋊C4—1462no—
1678C4⋊C4—1462no—
1679C4⋊C4—1462no—
1680C4⋊C4—1462no—
1681C4⋊C4—1462no—
1682C4⋊C4—1462no—
1683C4⋊C4—1462no—
1684C4⋊C4—1462no—
1685C4⋊C4D4×D7314yescomplemented
1686C22⋊C4—22no—
1687C22⋊C4—22no—
1688C22⋊C4—22no—
1689C22⋊C4—22no—
1690C22⋊C4—22no—
1691C22⋊C4—22no—
1692C22⋊C4—22no—
1693C22⋊C4—22no—
1694C22⋊C4—22no—
1695C22⋊C4—41no—
1696C22⋊C4—41no—
1697C22⋊C4—41no—
1698C22⋊C4—2921no—
1699C22⋊C4—2921no—
1700C22⋊C4—2921no—
1701C22⋊C4—2921no—
1702C22⋊C4—2921no—
1703C22⋊C4—2921no—
1704C22⋊C4—2921no—
1705C22⋊C4—2921no—
1706C22⋊C4—2921no—
1707C22⋊C4—734no—
1708C22⋊C4—734no—
1709C22⋊C4—734no—
1710C22⋊C4—1462no—
1711C22⋊C4—1462no—
1712C22⋊C4—1462no—
1713C22⋊C4—1462no—
1714C22⋊C4—1462no—
1715C22⋊C4—1462no—
1716C22⋊C4—1462no—
1717C22⋊C4—1462no—
1718C22⋊C4—1462no—
1719C22⋊C4—1462no—
1720C22⋊C4—1462no—
1721C22⋊C4—1462no—
1722C22⋊C4—1462no—
1723C22⋊C4—1462no—
1724C22⋊C4—1462no—
1725C22⋊C4—1462no—
1726C22⋊C4—1462no—
1727C22⋊C4—1462no—
1728C22⋊C4—1462no—
1729C22⋊C4—1462no—
1730C22⋊C4—1462no—
1731C22⋊C4—1462no—
1732C22⋊C4—1462no—
1733C22⋊C4—1462no—
1734C22⋊C4—1462no—
1735C22⋊C4—1462no—
1736C22⋊C4—1462no—
1737C22⋊C4D4×D7314yescomplemented
1738C42—22no—
1739C42—22no—
1740C42—1462no—
1741C42—1462no—
1742C42—1462no—
1743C42—1462no—
1744C42—1462no—
1745C42—1462no—
1746C23—21no—
1747C23—21no—
1748C23—21no—
1749C23—21no—
1750C23—21no—
1751C23—21no—
1752C23—21no—
1753C23—21no—
1754C23—21no—
1755C23—21no—
1756C23—21no—
1757C23—21no—
1758C23—21no—
1759C23—21no—
1760C23—21no—
1761C23—21no—
1762C23—21no—
1763C23—21no—
1764C23—21no—
1765C23—21no—
1766C23—21no—
1767C23—21no—
1768C23—21no—
1769C23—21no—
1770C23—21no—
1771C23—2924no—
1772C23—2924no—
1773C23—2924no—
1774C23—2924no—
1775C23—2924no—
1776C23—2924no—
1777C23—2924no—
1778C23—2924no—
1779C23—2924no—
1780C23—2924no—
1781C23—2924no—
1782C23—2924no—
1783C23—2924no—
1784C23—2924no—
1785C23—2924no—
1786C23—2924no—
1787C23—2924no—
1788C23—2924no—
1789C23—2924no—
1790C23—732no—
1791C23—732no—
1792C23—732no—
1793C23—732no—
1794C23—732no—
1795C23—732no—
1796C23—732no—
1797C23—732no—
1798C23—732no—
1799C23—732no—
1800C23—1468no—
1801C23—1468no—
1802C23—1468no—
1803C23—1468no—
1804C23—1468no—
1805C23—1468no—
1806C23—1468no—
1807C23—1468no—
1808C23—1468no—
1809C23—1461no—
1810C23—1461no—
1811C23—1461no—
1812C23—1461no—
1813C23—1461no—
1814C23—1461no—
1815C23—1461no—
1816C23—1461no—
1817C23—1461no—
1818C23—1461no—
1819C23—1461no—
1820C23—1461no—
1821C23—1461no—
1822C23—1461no—
1823C23—1461no—
1824C23—1461no—
1825C23—1461no—
1826C23—1461no—
1827C23—1461no—
1828C23—1461no—
1829C23—1461no—
1830C23—1461no—
1831C23—1461no—
1832C23—1461no—
1833C23—1461no—
1834C23C2×D4×D7312yes—
1835C23#41×D7312yes—
1836C23#41×D7312yes—
1837C23C24×D7311yescharacteristic
1838D4—28no—
1839D4—28no—
1840D4—44no—
1841D4—44no—
1842D4—44no—
1843D4—44no—
1844D4—2924no—
1845D4—2924no—
1846D4—2924no—
1847D4—2924no—
1848D4—2924no—
1849D4—2924no—
1850D4—2924no—
1851D4—2924no—
1852D4—2924no—
1853D4—2924no—
1854D4—2924no—
1855D4—2924no—
1856D4—1468no—
1857D4—1468no—
1858D4—1468no—
1859D4—1468no—
1860D4—1468no—
1861D4—1468no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—21no—
1866C2×C4—21no—
1867C2×C4—21no—
1868C2×C4—21no—
1869C2×C4—21no—
1870C2×C4—21no—
1871C2×C4—21no—
1872C2×C4—21no—
1873C2×C4—21no—
1874C2×C4—21no—
1875C2×C4—21no—
1876C2×C4—21no—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—21no—
1882C2×C4—21no—
1883C2×C4—21no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—21no—
1887C2×C4—21no—
1888C2×C4—21no—
1889C2×C4—44no—
1890C2×C4—44no—
1891C2×C4—44no—
1892C2×C4—2924no—
1893C2×C4—2924no—
1894C2×C4—2924no—
1895C2×C4—2924no—
1896C2×C4—2924no—
1897C2×C4—2924no—
1898C2×C4—2924no—
1899C2×C4—2924no—
1900C2×C4—2924no—
1901C2×C4—2924no—
1902C2×C4—2924no—
1903C2×C4—2924no—
1904C2×C4—2924no—
1905C2×C4—2924no—
1906C2×C4—732no—
1907C2×C4—732no—
1908C2×C4—732no—
1909C2×C4—732no—
1910C2×C4—732no—
1911C2×C4—732no—
1912C2×C4—1468no—
1913C2×C4—1468no—
1914C2×C4—1468no—
1915C2×C4—1468no—
1916C2×C4—1468no—
1917C2×C4—1468no—
1918C2×C4—1461no—
1919C2×C4—1461no—
1920C2×C4—1461no—
1921C2×C4—1461no—
1922C2×C4—1461no—
1923C2×C4—1461no—
1924C2×C4—1461no—
1925C2×C4—1461no—
1926C2×C4—1461no—
1927C2×C4—1461no—
1928C2×C4—1461no—
1929C2×C4—1461no—
1930C2×C4—1461no—
1931C2×C4—1461no—
1932C2×C4—1461no—
1933C2×C4—1461no—
1934C2×C4—1461no—
1935C2×C4—1461no—
1936C2×C4—1461no—
1937C2×C4—1461no—
1938C2×C4—1461no—
1939C2×C4—1461no—
1940C2×C4—1461no—
1941C2×C4—1461no—
1942C2×C4—1461no—
1943C2×C4—1461no—
1944C2×C4—1461no—
1945C2×C4C2×D4×D7312yes—
1946C2×C4C2×D4×D7312yes—
1947C2×C4C2×D4×D7312yes—
1948C2×C4C2×D4×D7312yes—
1949C2×C4C2×D4×D7312yes—
1950C2×C4#41×D7312yes—
1951C22—22no—
1952C22—22no—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—41no—
1961C22—41no—
1962C22—41no—
1963C22—41no—
1964C22—41no—
1965C22—41no—
1966C22—41no—
1967C22—41no—
1968C22—41no—
1969C22—41no—
1970C22—41no—
1971C22—41no—
1972C22—41no—
1973C22—41no—
1974C22—41no—
1975C22—41no—
1976C22—41no—
1977C22—41no—
1978C22—41no—
1979C22—29216no—
1980C22—29216no—
1981C22—29216no—
1982C22—2921no—
1983C22—2921no—
1984C22—2921no—
1985C22—2921no—
1986C22—2921no—
1987C22—2921no—
1988C22—2921no—
1989C22—2921no—
1990C22—2921no—
1991C22—2921no—
1992C22—2921no—
1993C22—2921no—
1994C22—2921no—
1995C22—2921no—
1996C22—2921no—
1997C22—2921no—
1998C22—2921no—
1999C22—2921no—
2000C22—2921no—
2001C22—5848no—
2002C22—734no—
2003C22—734no—
2004C22—734no—
2005C22—734no—
2006C22—734no—
2007C22—734no—
2008C22—734no—
2009C22—1462no—
2010C22—1462no—
2011C22—1462no—
2012C22—1462no—
2013C22—1462no—
2014C22—1462no—
2015C22—1462no—
2016C22—1462no—
2017C22—1462no—
2018C22C22×D4×D7311yescharacteristic
2019C22C22×D4×D7311yescharacteristic
2020C22C2×#41×D7311yescharacteristic
2021C22C2×#41×D7311yescharacteristic
2022C22C2×#41×D7311yescharacteristic
2023C22H(5,𝔽2)×D7311yescharacteristic
2024C22H(5,𝔽2)×D7311yescharacteristic
2025C4—22no—
2026C4—22no—
2027C4—22no—
2028C4—22no—
2029C4—22no—
2030C4—22no—
2031C4—41no—
2032C4—41no—
2033C4—41no—
2034C4—41no—
2035C4—41no—
2036C4—2921no—
2037C4—2921no—
2038C4—2921no—
2039C4—2921no—
2040C4—2921no—
2041C4—1462no—
2042C4—1462no—
2043C4—1462no—
2044C4—1462no—
2045C4—1462no—
2046C4—1462no—
2047C2—42no—
2048C2—42no—
2049C2—42no—
2050C2—81no—
2051C2—2922no—
2052C2—2922no—
2053C2—2922no—
2054C2—5841no—
2055C2—738no—
2056C2#525×D7311yescharacteristic
2057C2#525×D7311yescharacteristic
2058C2#538×D7311yescharacteristic
2059C2D42×D7311yescharacteristic
2060C2#546×D7311yescharacteristic
2061C2#550×D7311yescharacteristic
2062C2#553×D7311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2456C2
hypercenter#2456D73
hypocenterC73C2×#2456
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2456

Complements

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

NH ≅ G/Ntype
1. C2×#123×D73C2semidirect
2. C2×#121×D73C2semidirect
3. C2×C4×D4×D73C2semidirect
4. C2×C4×D4×D73C2semidirect
5. #22613830C2semidirect
6. #22613829C2semidirect
7. #22613828C2semidirect
8. #22613827C2semidirect
9. #22613826C2semidirect
10. #22613825C2semidirect
11. #22613824C2semidirect
12. #22613823C2semidirect
13. #22613822C2semidirect
14. #22613821C2semidirect
15. #22613820C2semidirect
16. #22613819C2semidirect
17. #22613818C2semidirect
18. #22613817C2semidirect
19. #22613816C2semidirect
20. #396×D73C2semidirect
21. #392×D73C2semidirect
22. #392×D73C2semidirect
23. #392×D73C2semidirect
24. #390×D73C2semidirect
25. #388×D73C2semidirect
26. #388×D73C2semidirect
27. #387×D73C2semidirect
28. #386×D73C2semidirect
29. #386×D73C2semidirect
30. #385×D73C2semidirect
31. C73×#2456C2semidirect
41. C2×#14556576C22semidirect
42. C2×#14556576C22semidirect
43. C2×#14556575C22semidirect
44. C2×#14556574C22semidirect
45. C2×#14556573C22semidirect
46. C2×#14556573C22semidirect
47. C2×#14556572C22semidirect
49. C2×#14556566C22semidirect
50. C2×#14556565C22semidirect
51. C2×#14556564C22semidirect
52. C2×#14556564C22semidirect
53. C2×#14556563C22semidirect
54. C2×#14556563C22semidirect
55. C2×#14556562C22semidirect
57. C2×C4×D292C22semidirect
58. C2×C4×D292C22semidirect
59. C2×D4×Dic73C22semidirect
60. C2×D4×Dic73C22semidirect
61. C2×#14556553C22semidirect
62. C2×#14556553C22semidirect
63. C2×C4×C22⋊D73C22semidirect
64. C2×C4×C22⋊D73C22semidirect
65. C2×C4×C22⋊D73C22semidirect
66. C2×C4×C22⋊D73C22semidirect
67. C2×#14556551C22semidirect
68. C2×#14556551C22semidirect
69. C2×#14556551C22semidirect
70. C2×#14556551C22semidirect
93. #17988511C22semidirect
94. #17988510C22semidirect
95. #17988510C22semidirect
96. #17988510C22semidirect
97. #17988509C22semidirect
98. #17988509C22semidirect
99. #17988509C22semidirect
100. #17988497C22semidirect
101. #17988497C22semidirect
102. #17988497C22semidirect
103. #17988496C22semidirect
104. #17988496C22semidirect
105. #17988496C22semidirect
106. #17988496C22semidirect
107. #17988496C22semidirect
108. #17988496C22semidirect
109. #17988496C22semidirect
110. #17988496C22semidirect
111. #17988496C22semidirect
112. #17988495C22semidirect
113. #17988495C22semidirect
114. #17988495C22semidirect
115. #17988495C22semidirect
116. #17988495C22semidirect
117. #17988495C22semidirect
118. #17988495C22semidirect
119. #17988495C22semidirect
120. #17988495C22semidirect
121. #17988490C22semidirect
122. #17988489C22semidirect
123. #17988488C22semidirect
124. #17988487C22semidirect
125. #17988487C22semidirect
126. #17988487C22semidirect
127. #17988487C22semidirect
128. #17988481C22semidirect
129. #17988481C22semidirect
130. #17988480C22semidirect
131. #17988480C22semidirect
132. #17988479C22semidirect
133. #17988479C22semidirect
134. #17988478C22semidirect
135. #17988478C22semidirect
136. #17988477C22semidirect
137. #17988477C22semidirect
138. #17988476C22semidirect
139. #17988476C22semidirect
140. #17988475C22semidirect
141. #17988475C22semidirect
142. #17988474C22semidirect
143. #17988473C22semidirect
144. #17988472C22semidirect
145. #17988471C22semidirect
146. #17988470C22semidirect
147. #17988469C22semidirect
148. #17988468C22semidirect
149. #17988467C22semidirect
150. #17988467C22semidirect
151. #17988466C22semidirect
152. #17988466C22semidirect
153. #17988465C22semidirect
154. #17988465C22semidirect
155. #17988465C22semidirect
156. #17988465C22semidirect
157. #17988464C22semidirect
158. #17988464C22semidirect
159. #17988463C22semidirect
160. #17988463C22semidirect
161. #17988463C22semidirect
162. #17988463C22semidirect
163. #17988462C22semidirect
164. #17988461C22semidirect
165. #17988461C22semidirect
166. #17988460C22semidirect
167. #17988459C22semidirect
168. #17988458C22semidirect
169. #17988458C22semidirect
176. C2×#123×C73C22semidirect
177. C2×#121×C73C22semidirect
178. C2×C4×D4×C73C22semidirect
179. C2×C4×D4×C73C22semidirect
180. #396×C73C22semidirect
181. #392×C73C22semidirect
182. #392×C73C22semidirect
183. #392×C73C22semidirect
184. #390×C73C22semidirect
185. #388×C73C22semidirect
186. #388×C73C22semidirect
187. #387×C73C22semidirect
188. #386×C73C22semidirect
189. #386×C73C22semidirect
190. #385×C73C22semidirect
307. C4⋊C4×D73D4semidirect
359. C22⋊C4×D73D4semidirect
596. C4⋊Dic73C2×D4semidirect
605. #11924007C2×D4semidirect
606. #11924007C2×D4semidirect
619. C22⋊Dic73C2×D4semidirect
644. #11924005C2×D4semidirect
645. #11924005C2×D4semidirect
698. C4⋊C4×C73C2×D4semidirect
711. C22⋊C4×C73C2×D4semidirect
1031. D73#2456direct (N × H)
1051. #2456D73direct (N × H)
1063. C73C2×#2456semidirect
1081. C2×#123C2×D73semidirect
1090. C2×#121C2×D73semidirect
1107. C2×C4×D4C2×D73semidirect
1108. C2×C4×D4C2×D73semidirect
1136. #396C2×D73semidirect
1158. #392C2×D73semidirect
1159. #392C2×D73semidirect
1160. #392C2×D73semidirect
1168. #390C2×D73semidirect
1183. #388C2×D73semidirect
1184. #388C2×D73semidirect
1192. #387C2×D73semidirect
1207. #386C2×D73semidirect
1208. #386C2×D73semidirect
1216. #385C2×D73semidirect
1685. C4⋊C4D4×D73semidirect
1737. C22⋊C4D4×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#123×D732
C2×#121×D732
C2×C4×D4×D732
#226138302
#226138292
#226138282
#226138272
#226138262
#226138252
#226138242
#226138232
#226138222
#226138212
#226138202
#226138192
#226138182
#226138172
#226138162
#396×D732
#392×D732
#390×D732
#388×D732
#387×D732
#386×D732
#385×D732
C73×#24562
C2×#245673