Finite Group Databasebeta

← #2505×D73 #33254926

Subgroups — #2505×D73 #33254926

Order 18688.

2486 conjugacy classes of subgroups.

The subgroup lattice has 1514 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22614439C211yesmaximal, characteristic, complemented
2#22614438C211yesmaximal, characteristic, complemented
3#22614437C211yesmaximal, characteristic, complemented
4#22614436C211yesmaximal, characteristic, complemented
5#22614435C211yesmaximal, characteristic, complemented
6#22614434C211yesmaximal, characteristic, complemented
7#22614433C211yesmaximal, characteristic, complemented
8#22614432C211yesmaximal, characteristic, complemented
9#22614431C211yesmaximal, characteristic, complemented
10#22614430C211yesmaximal, characteristic, complemented
11#22614429C211yesmaximal, characteristic, complemented
12#22614428C211yesmaximal, characteristic, complemented
13#22614427C211yesmaximal, characteristic, complemented
14#22614426C211yesmaximal, characteristic, complemented
15#22614425C211yesmaximal, characteristic, complemented
16#400×D73C211yesmaximal, characteristic, complemented
17#400×D73C211yesmaximal, characteristic, complemented
18#400×D73C211yesmaximal, characteristic, complemented
19#398×D73C211yesmaximal, characteristic, complemented
20#389×D73C211yesmaximal, characteristic, complemented
21#387×D73C211yesmaximal, characteristic, complemented
22#387×D73C211yesmaximal, characteristic, complemented
23#385×D73C211yesmaximal, characteristic
24#385×D73C211yesmaximal, characteristic
25#385×D73C211yesmaximal, characteristic
26#385×D73C211yesmaximal, characteristic
27#382×D73C211yesmaximal, characteristic, complemented
28#380×D73C211yesmaximal, characteristic
29C4×C22⋊C4×D73C211yesmaximal, characteristic
30C2×#95×D73C211yesmaximal, characteristic
31C73×#2505C211yesmaximal, characteristic, complemented
32C23×C4×D73C2211yescharacteristic
33C23×C4×D73C2211yescharacteristic
34C23×C4×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×C4⋊C4×D73C2211yescharacteristic
44C2×C4⋊C4×D73C2211yescharacteristic
45C2×C22⋊C4×D73C2211yescharacteristic
46C2×C22⋊C4×D73C2211yescharacteristic
47C2×C22⋊C4×D73C2211yescharacteristic
48C2×C22⋊C4×D73C2211yescharacteristic
49C2×C42×D73C2211yescharacteristic
50C2×C42×D73C2211yescharacteristic
51#17988529C2211yescharacteristic, complemented
52#17988529C2211yescharacteristic, complemented
53#17988529C2211yescharacteristic, complemented
54#17988529C2211yescharacteristic, complemented
55#17988529C2211yescharacteristic, complemented
56#17988529C2211yescharacteristic, complemented
57#17988528C2211yescharacteristic, complemented
58#17988528C2211yescharacteristic, complemented
59#17988528C2211yescharacteristic, complemented
60#17988528C2211yescharacteristic, complemented
61#17988528C2211yescharacteristic, complemented
62#17988528C2211yescharacteristic, complemented
63#17988527C2211yescharacteristic, complemented
64#17988527C2211yescharacteristic, complemented
65#17988527C2211yescharacteristic, complemented
66#17988526C2211yescharacteristic, complemented
67#17988526C2211yescharacteristic, complemented
68#17988526C2211yescharacteristic, complemented
69#17988525C2211yescharacteristic, complemented
70#17988525C2211yescharacteristic, complemented
71#17988525C2211yescharacteristic, complemented
72#17988521C2211yescharacteristic, complemented
73#17988521C2211yescharacteristic, complemented
74#17988520C2211yescharacteristic, complemented
75#17988520C2211yescharacteristic, complemented
76#17988519C2211yescharacteristic, complemented
77#17988518C2211yescharacteristic, complemented
78#17988517C2211yescharacteristic, complemented
79#17988486C2211yescharacteristic, complemented
80#17988485C2211yescharacteristic, complemented
81#17988484C2211yescharacteristic, complemented
82#17988484C2211yescharacteristic, complemented
83#17988483C2211yescharacteristic, complemented
84#17988482C2211yescharacteristic, complemented
85#17988482C2211yescharacteristic, complemented
86#17988474C2211yescharacteristic, complemented
87#17988474C2211yescharacteristic, complemented
88#17988473C2211yescharacteristic, complemented
89#17988473C2211yescharacteristic, complemented
90#17988472C2211yescharacteristic, complemented
91#17988472C2211yescharacteristic, complemented
92#17988471C2211yescharacteristic, complemented
93#17988471C2211yescharacteristic, complemented
94#17988470C2211yescharacteristic, complemented
95#17988470C2211yescharacteristic, complemented
96#17988469C2211yescharacteristic, complemented
97#17988469C2211yescharacteristic, complemented
98#17988468C2211yescharacteristic, complemented
99#17988468C2211yescharacteristic, complemented
100#17988462C2211yescharacteristic
101#17988462C2211yescharacteristic
102#17988462C2211yescharacteristic
103#17988462C2211yescharacteristic
104#17988461C2211yescharacteristic
105#17988461C2211yescharacteristic
106#17988461C2211yescharacteristic
107#17988461C2211yescharacteristic
108#17988461C2211yescharacteristic
109#17988461C2211yescharacteristic
110#17988461C2211yescharacteristic
111#17988461C2211yescharacteristic
112#17988460C2211yescharacteristic
113#17988460C2211yescharacteristic
114#17988460C2211yescharacteristic
115#17988460C2211yescharacteristic
116#17988459C2211yescharacteristic
117#17988459C2211yescharacteristic
118#17988459C2211yescharacteristic
119#17988459C2211yescharacteristic
120#17988458C2211yescharacteristic
121#17988458C2211yescharacteristic
122#17988458C2211yescharacteristic
123#17988458C2211yescharacteristic
124#17988458C2211yescharacteristic
125#17988458C2211yescharacteristic
126#17988458C2211yescharacteristic
127#17988458C2211yescharacteristic
128#17988453C2211yescharacteristic, complemented
129#17988452C2211yescharacteristic, complemented
130#17988452C2211yescharacteristic, complemented
131#17988451C2211yescharacteristic, complemented
132#17988451C2211yescharacteristic, complemented
133#17988451C2211yescharacteristic, complemented
134#17988451C2211yescharacteristic, complemented
135#17988447C2211yescharacteristic
136#17988446C2211yescharacteristic
137#17988446C2211yescharacteristic
138#17988445C2211yescharacteristic
139#17988445C2211yescharacteristic
140#17988444C2211yescharacteristic
141#17988444C2211yescharacteristic
142C22⋊C4×Dic73C2211yescharacteristic
143C22⋊C4×Dic73C2211yescharacteristic
144C4×#11924005C2211yescharacteristic
145C4×#11924005C2211yescharacteristic
146C4×C22⋊Dic73C2211yescharacteristic
147#17988434C2211yescharacteristic
148#17988434C2211yescharacteristic
149C2×#14556498C2211yescharacteristic
150C2×#14556498C2211yescharacteristic
151C2×#14556498C2211yescharacteristic
152#95×D73C2211yescharacteristic
153#95×D73C2211yescharacteristic
154#95×D73C2211yescharacteristic
155#95×D73C2211yescharacteristic
156#95×D73C2211yescharacteristic
157#95×D73C2211yescharacteristic
158#95×D73C2211yescharacteristic
159#95×D73C2211yescharacteristic
160#95×D73C2211yescharacteristic
161#95×D73C2211yescharacteristic
162#95×D73C2211yescharacteristic
163#95×D73C2211yescharacteristic
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#400×C73C2211yescharacteristic, complemented
173#400×C73C2211yescharacteristic, complemented
174#400×C73C2211yescharacteristic, complemented
175#398×C73C2211yescharacteristic, complemented
176#389×C73C2211yescharacteristic, complemented
177#387×C73C2211yescharacteristic, complemented
178#387×C73C2211yescharacteristic, complemented
179#385×C73C2211yescharacteristic
180#385×C73C2211yescharacteristic
181#385×C73C2211yescharacteristic
182#385×C73C2211yescharacteristic
183#382×C73C2211yescharacteristic, complemented
184#380×C73C2211yescharacteristic
185C4×C22⋊C4×C73C2211yescharacteristic
186C2×#95×C73C2211yescharacteristic
187C24×D73C2311yescharacteristic
188C23×Dic73C2311yescharacteristic
189C23×Dic73C2311yescharacteristic
190C23×Dic73C2311yescharacteristic
191C22×C4×D73—24no—
192C22×C4×D73—24no—
193C22×C4×D73—24no—
194C22×C4×D73—24no—
195C22×C4×D73—24no—
196C22×C4×D73—42no—
197C22×C4×D73—42no—
198C22×C4×D73—42no—
199C22×C4×D73—42no—
200C22×C4×D73C2311yescharacteristic
201C22×C4×D73C2311yescharacteristic
202C22×C4×D73C2311yescharacteristic
203C22×C4×D73C2311yescharacteristic
204C22×C4×D73C2311yescharacteristic
205C22×C4×D73C2311yescharacteristic
206C22×C4×D73C2311yescharacteristic
207C22×C4×D73C2311yescharacteristic
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×C4⋊Dic73C2311yescharacteristic
229C2×C4⋊Dic73C2311yescharacteristic
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
244C2×#11924007C2311yescharacteristic
245C2×#11924007C2311yescharacteristic
246C2×#11924007C2311yescharacteristic
247C2×#11924007C2311yescharacteristic
248C2×#11924007C2311yescharacteristic
249C2×#11924007C2311yescharacteristic
250C4⋊C4×D73—24no—
251C4⋊C4×D73—24no—
252C4⋊C4×D73—24no—
253C4⋊C4×D73—42no—
254C4⋊C4×D73—42no—
255C4⋊C4×D73—42no—
256C4⋊C4×D73—42no—
257C4⋊C4×D73—42no—
258C4⋊C4×D73—42no—
259C4⋊C4×D73—42no—
260C2×C22⋊Dic73C2311yescharacteristic
261C2×C22⋊Dic73C2311yescharacteristic
262C2×C22⋊Dic73C2311yescharacteristic
263C2×C22⋊Dic73C2311yescharacteristic
264C2×#11924005C2311yescharacteristic
265C2×#11924005C2311yescharacteristic
266C2×#11924005C2311yescharacteristic
267C2×#11924005C2311yescharacteristic
268C2×#11924005C2311yescharacteristic
269C2×#11924005C2311yescharacteristic
270C2×#11924005C2311yescharacteristic
271C2×#11924005C2311yescharacteristic
272C22⋊C4×D73—24no—
273C22⋊C4×D73—24no—
274C22⋊C4×D73—24no—
275C22⋊C4×D73Q818yes—
276C2×C4×Dic73C2311yescharacteristic
277C2×C4×Dic73C2311yescharacteristic
278C2×C4×Dic73C2311yescharacteristic
279C2×C4×Dic73C2311yescharacteristic
280C2×C4×Dic73C2311yescharacteristic
281C2×C4×Dic73C2311yescharacteristic
282C42×D73—24no—
283C42×D73—42no—
284#14556498C2311yescharacteristic
285#14556498C2311yescharacteristic
286#14556498C2311yescharacteristic
287#14556498C2311yescharacteristic
288#14556498C2311yescharacteristic
289#14556498C2311yescharacteristic
290#14556498C2311yescharacteristic
291#14556498C2311yescharacteristic
292#14556498C2311yescharacteristic
293#14556498C2311yescharacteristic
294#14556498C2311yescharacteristic
295#14556498C2311yescharacteristic
296#14556498C2311yescharacteristic
297#14556498C2311yescharacteristic
298#14556498C2311yescharacteristic
299#14556498C2311yescharacteristic
300#14556498C2311yescharacteristic
301#14556498C2311yescharacteristic
302#14556498C2311yescharacteristic
303#14556498C2311yescharacteristic
304#14556498C2311yescharacteristic
305#14556498C2311yescharacteristic
306#14556498C2311yescharacteristic
307#14556498C2311yescharacteristic
308#14556498C2311yescharacteristic
309#14556498C2311yescharacteristic
310#14556498C2311yescharacteristic
311#14556498C2311yescharacteristic
312#14556498C2311yescharacteristic
313#14556498C2311yescharacteristic
314#14556498C2311yescharacteristic
315#14556498C2311yescharacteristic
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
332C23×C4×C73C2311yescharacteristic
333C23×C4×C73C2311yescharacteristic
334C23×C4×C73C2311yescharacteristic
335C2×C4⋊C4×C73C2311yescharacteristic
336C2×C4⋊C4×C73C2311yescharacteristic
337C2×C4⋊C4×C73C2311yescharacteristic
338C2×C4⋊C4×C73C2311yescharacteristic
339C2×C4⋊C4×C73C2311yescharacteristic
340C2×C4⋊C4×C73C2311yescharacteristic
341C2×C4⋊C4×C73C2311yescharacteristic
342C2×C4⋊C4×C73C2311yescharacteristic
343C2×C4⋊C4×C73C2311yescharacteristic
344C2×C4⋊C4×C73C2311yescharacteristic
345C2×C22⋊C4×C73C2311yescharacteristic
346C2×C22⋊C4×C73C2311yescharacteristic
347C2×C22⋊C4×C73C2311yescharacteristic
348C2×C22⋊C4×C73C2311yescharacteristic
349C2×C42×C73C2311yescharacteristic
350C2×C42×C73C2311yescharacteristic
351#95×C73C2311yescharacteristic
352#95×C73C2311yescharacteristic
353#95×C73C2311yescharacteristic
354#95×C73C2311yescharacteristic
355#95×C73C2311yescharacteristic
356#95×C73C2311yescharacteristic
357#95×C73C2311yescharacteristic
358#95×C73C2311yescharacteristic
359#95×C73C2311yescharacteristic
360#95×C73C2311yescharacteristic
361#95×C73C2311yescharacteristic
362#95×C73C2311yescharacteristic
363#95×C73C2311yescharacteristic
364#95×C73C2311yescharacteristic
365#95×C73C2311yescharacteristic
366#95×C73C2311yescharacteristic
367C23×D73—22no—
368C23×D73—22no—
369C23×D73—22no—
370C23×D73—22no—
371C23×D73C2×Q814yes—
372C23×D73#4114yes—
373C23×D73#4114yes—
374C23×D73C2411yescharacteristic
375C23×D73C2411yescharacteristic
376C22×Dic73—22no—
377C22×Dic73—22no—
378C22×Dic73—22no—
379C22×Dic73—22no—
380C22×Dic73—22no—
381C22×Dic73—41no—
382C22×Dic73—41no—
383C22×Dic73—41no—
384C22×Dic73—41no—
385C22×Dic73C2411yescharacteristic
386C22×Dic73C2411yescharacteristic
387C22×Dic73C2411yescharacteristic
388C22×Dic73C2411yescharacteristic
389C22×Dic73C2411yescharacteristic
390C22×Dic73C2411yescharacteristic
391C22×Dic73C2411yescharacteristic
392C22×Dic73C2411yescharacteristic
393C22×Dic73C2411yescharacteristic
394C22×Dic73C2411yescharacteristic
395C22×Dic73C2411yescharacteristic
396C22×Dic73C2411yescharacteristic
397C22×Dic73C2411yescharacteristic
398C22×Dic73C2411yescharacteristic
399C2×C4×D73—22no—
400C2×C4×D73—22no—
401C2×C4×D73—22no—
402C2×C4×D73—22no—
403C2×C4×D73—22no—
404C2×C4×D73—22no—
405C2×C4×D73—22no—
406C2×C4×D73—22no—
407C2×C4×D73—22no—
408C2×C4×D73—22no—
409C2×C4×D73—22no—
410C2×C4×D73—22no—
411C2×C4×D73—22no—
412C2×C4×D73—22no—
413C2×C4×D73—22no—
414C2×C4×D73—22no—
415C2×C4×D73—22no—
416C2×C4×D73—22no—
417C2×C4×D73—22no—
418C2×C4×D73—22no—
419C2×C4×D73—22no—
420C2×C4×D73—22no—
421C2×C4×D73—22no—
422C2×C4×D73—22no—
423C2×C4×D73—22no—
424C2×C4×D73—22no—
425C2×C4×D73—22no—
426C2×C4×D73—22no—
427C2×C4×D73—22no—
428C2×C4×D73—22no—
429C2×C4×D73—22no—
430C2×C4×D73—22no—
431C2×C4×D73—22no—
432C2×C4×D73—22no—
433C2×C4×D73—22no—
434C2×C4×D73—22no—
435C2×C4×D73—22no—
436C2×C4×D73—22no—
437C2×C4×D73—22no—
438C2×C4×D73—22no—
439C2×C4×D73—22no—
440C2×C4×D73—22no—
441C2×C4×D73—22no—
442C2×C4×D73—22no—
443C2×C4×D73—22no—
444C2×C4×D73—22no—
445C2×C4×D73—22no—
446C2×C4×D73—22no—
447C2×C4×D73—416no—
448C2×C4×D73—416no—
449C2×C4×D73—41no—
450C2×C4×D73—41no—
451C2×C4×D73—41no—
452C2×C4×D73—41no—
453C2×C4×D73—41no—
454C2×C4×D73—41no—
455C2×C4×D73—41no—
456C2×C4×D73—41no—
457C2×C4×D73—416no—
458C2×C4×D73C2×Q814yes—
459C2×C4×D73C2×Q814yes—
460C2×C4×D73#4114yes—
461C2×C4×D73#4114yes—
462C4⋊Dic73—22no—
463C4⋊Dic73—22no—
464C4⋊Dic73—22no—
465C4⋊Dic73—41no—
466C4⋊Dic73—41no—
467C4⋊Dic73—41no—
468C4⋊Dic73—41no—
469C4⋊Dic73—41no—
470C4⋊Dic73—41no—
471C4⋊Dic73—41no—
472#11924007—22no—
473#11924007—22no—
474#11924007—22no—
475#11924007—22no—
476#11924007—22no—
477#11924007—22no—
478#11924007—41no—
479#11924007—41no—
480#11924007—41no—
481#11924007—41no—
482#11924007—41no—
483#11924007—41no—
484#11924007—41no—
485#11924007—41no—
486#11924007—41no—
487#11924007—41no—
488#11924007—41no—
489#11924007—41no—
490#11924007—41no—
491#11924007—41no—
492C22⋊Dic73—22no—
493C22⋊Dic73—22no—
494C22⋊Dic73—22no—
495C22⋊Dic73C2×Q814yes—
496#11924005—22no—
497#11924005—22no—
498#11924005—22no—
499#11924005—22no—
500#11924005—22no—
501#11924005—22no—
502#11924005C2×Q814yes—
503#11924005C2×Q814yes—
504C4×Dic73—22no—
505C4×Dic73—22no—
506C4×Dic73—22no—
507C4×Dic73—41no—
508C4×Dic73—41no—
509C4×Dic73—41no—
510C24×C73C2411yescharacteristic
511C22×C4×C73—22no—
512C22×C4×C73—22no—
513C22×C4×C73—22no—
514C22×C4×C73—22no—
515C22×C4×C73—22no—
516C22×C4×C73—41no—
517C22×C4×C73—41no—
518C22×C4×C73—41no—
519C22×C4×C73—41no—
520C22×C4×C73C2411yescharacteristic
521C22×C4×C73C2411yescharacteristic
522C22×C4×C73C2411yescharacteristic
523C22×C4×C73C2411yescharacteristic
524C22×C4×C73C2411yescharacteristic
525C22×C4×C73C2411yescharacteristic
526C22×C4×C73C2411yescharacteristic
527C22×C4×C73C2411yescharacteristic
528C22×C4×C73C2411yescharacteristic
529C22×C4×C73C2411yescharacteristic
530C22×C4×C73C2411yescharacteristic
531C22×C4×C73C2411yescharacteristic
532C22×C4×C73C2411yescharacteristic
533C22×C4×C73C2411yescharacteristic
534C4⋊C4×C73—22no—
535C4⋊C4×C73—22no—
536C4⋊C4×C73—22no—
537C4⋊C4×C73—41no—
538C4⋊C4×C73—41no—
539C4⋊C4×C73—41no—
540C4⋊C4×C73—41no—
541C4⋊C4×C73—41no—
542C4⋊C4×C73—41no—
543C4⋊C4×C73—41no—
544C22⋊C4×C73—22no—
545C22⋊C4×C73—22no—
546C22⋊C4×C73—22no—
547C22⋊C4×C73C2×Q814yes—
548C42×C73—22no—
549C42×C73—41no—
550C23×C73—21no—
551C23×C73—21no—
552C23×C73—21no—
553C23×C73—21no—
554C23×C73C22×Q812yes—
555C23×C73C2×#4112yes—
556C23×C73C2×#4112yes—
557C23×C73C2511yescharacteristic
558C22×D73—21no—
559C22×D73—21no—
560C22×D73—21no—
561C22×D73—21no—
562C22×D73—28no—
563C22×D73—28no—
564C22×D73—28no—
565C22×D73—28no—
566C22×D73—28no—
567C22×D73—28no—
568C22×D73#125116yes—
569C22×D73C22×Q812yes—
570C22×D73C22×Q812yes—
571C22×D73C2×#4112yes—
572C22×D73C2×#4112yes—
573C22×D73C2×#4112yes—
574C22×D73C2×#4112yes—
575C22×D73C2×#4112yes—
576C22×D73C2×#4112yes—
577C22×D73H(5,𝔽2)12yes—
578C22×D73H(5,𝔽2)12yes—
579C2×C4×C73—21no—
580C2×C4×C73—21no—
581C2×C4×C73—21no—
582C2×C4×C73—21no—
583C2×C4×C73—21no—
584C2×C4×C73—21no—
585C2×C4×C73—21no—
586C2×C4×C73—21no—
587C2×C4×C73—21no—
588C2×C4×C73—21no—
589C2×C4×C73—21no—
590C2×C4×C73—21no—
591C2×C4×C73—21no—
592C2×C4×C73—21no—
593C2×C4×C73—21no—
594C2×C4×C73—21no—
595C2×C4×C73—21no—
596C2×C4×C73—21no—
597C2×C4×C73—21no—
598C2×C4×C73—21no—
599C2×C4×C73—21no—
600C2×C4×C73—21no—
601C2×C4×C73—21no—
602C2×C4×C73—21no—
603C2×C4×C73—21no—
604C2×C4×C73—21no—
605C2×C4×C73—21no—
606C2×C4×C73—21no—
607C2×C4×C73—21no—
608C2×C4×C73—21no—
609C2×C4×C73—21no—
610C2×C4×C73—21no—
611C2×C4×C73—21no—
612C2×C4×C73—21no—
613C2×C4×C73—21no—
614C2×C4×C73—21no—
615C2×C4×C73—21no—
616C2×C4×C73—21no—
617C2×C4×C73—44no—
618C2×C4×C73—44no—
619C2×C4×C73—44no—
620C2×C4×C73C22×Q812yes—
621C2×C4×C73C22×Q812yes—
622C2×C4×C73C2×#4112yes—
623C2×C4×C73C2×#4112yes—
624C2×Dic73—21no—
625C2×Dic73—21no—
626C2×Dic73—21no—
627C2×Dic73—21no—
628C2×Dic73—21no—
629C2×Dic73—21no—
630C2×Dic73—21no—
631C2×Dic73—21no—
632C2×Dic73—21no—
633C2×Dic73—21no—
634C2×Dic73—21no—
635C2×Dic73—21no—
636C2×Dic73—21no—
637C2×Dic73—21no—
638C2×Dic73—21no—
639C2×Dic73—21no—
640C2×Dic73—21no—
641C2×Dic73—21no—
642C2×Dic73—21no—
643C2×Dic73—21no—
644C2×Dic73—21no—
645C2×Dic73—21no—
646C2×Dic73—21no—
647C2×Dic73—21no—
648C2×Dic73—21no—
649C2×Dic73—21no—
650C2×Dic73—21no—
651C2×Dic73—21no—
652C2×Dic73—21no—
653C2×Dic73—21no—
654C2×Dic73—21no—
655C2×Dic73—21no—
656C2×Dic73—21no—
657C2×Dic73—21no—
658C2×Dic73—21no—
659C2×Dic73—21no—
660C2×Dic73—21no—
661C2×Dic73—21no—
662C2×Dic73—44no—
663C2×Dic73—44no—
664C2×Dic73—44no—
665C2×Dic73C22×Q812yes—
666C2×Dic73C22×Q812yes—
667C2×Dic73C2×#4112yes—
668C2×Dic73C2×#4112yes—
669C4×D73—28no—
670C4×D73—28no—
671C4×D73—28no—
672C4×D73—28no—
673C4×D73—44no—
674C4×D73—44no—
675C4×D73—44no—
676C4×D73—44no—
677C4×D73—44no—
678C4×D73—44no—
679C4×D73—44no—
680C4×D73—44no—
681C4×D73—44no—
682C4×D73—44no—
683C4×D73—44no—
684C4×D73—44no—
685C4×D73—44no—
686C4×D73—44no—
687C4×D73—44no—
688C4×D73—44no—
689C22×C73—22no—
690C22×C73—22no—
691C22×C73—22no—
692C22×C73—22no—
693C22×C73—22no—
694C22×C73—22no—
695C22×C73C2×#12514yes—
696C22×C73C23×Q811yescharacteristic
697C22×C73C22×#4111yescharacteristic
698C22×C73C22×#4111yescharacteristic
699C22×C73C22×#4111yescharacteristic
700C22×C73C22×#4111yescharacteristic
701C22×C73C2×H(5,𝔽2)11yescharacteristic
702C22×C73C2×H(5,𝔽2)11yescharacteristic
703C2×D73—22no—
704C2×D73—22no—
705C2×D73—22no—
706C2×D73—22no—
707C2×D73—22no—
708C2×D73—22no—
709C2×D73—232no—
710C2×D73C2×#12514yes—
711C2×D73C2×#12514yes—
712C2×D73#52914yes—
713C2×D73#53814yes—
714C2×D73#55114yes—
715C2×D73#55114yes—
716C2×D73#55414yes—
717C2×D73#55414yes—
718C4×C73—22no—
719C4×C73—22no—
720C4×C73—22no—
721C4×C73—22no—
722C4×C73—41no—
723C4×C73—41no—
724C4×C73—41no—
725C4×C73—41no—
726C4×C73—41no—
727C4×C73—41no—
728C4×C73—41no—
729C4×C73—41no—
730C4×C73—41no—
731C4×C73—41no—
732Dic73—22no—
733Dic73—22no—
734Dic73—22no—
735Dic73—22no—
736Dic73—41no—
737Dic73—41no—
738Dic73—41no—
739Dic73—41no—
740Dic73—41no—
741Dic73—41no—
742Dic73—41no—
743Dic73—41no—
744Dic73—41no—
745Dic73—41no—
746C2×#2505—731nomaximal, Sylow
747C2×C73—24no—
748C2×C73C22×#12511yescharacteristic
749C2×C73C2×#52911yescharacteristic
750C2×C73C2×#53811yescharacteristic
751C2×C73C2×#55111yescharacteristic
752C2×C73C2×#55111yescharacteristic
753C2×C73C2×#55411yescharacteristic
754C2×C73C2×#55411yescharacteristic
755D73—24no—
756D73#250518yesdirect product factor
757#2505—731no—
758#2505—731no—
759#2505—731no—
760#2505—731no—
761#2505—731no—
762#2505—731no—
763#2505—731no—
764#2505—731no—
765#2505—731no—
766#2505—731no—
767#2505—731no—
768#2505—731no—
769#2505—731no—
770#2505—731no—
771#2505—731no—
772#2505D7311yescharacteristic, direct product factor
773C2×#400—731no—
774C2×#400—731no—
775C2×#400—731no—
776C2×#398—731no—
777C2×#389—731no—
778C2×#387—731no—
779C2×#387—731no—
780C2×#385—731no—
781C2×#385—731no—
782C2×#385—731no—
783C2×#385—731no—
784C2×#382—731no—
785C2×#380—731no—
786C2×C4×C22⋊C4—731no—
787C22×#95—731no—
788C73C2×#250511yescharacteristic, complemented, Sylow
789C24×C4—731no—
790C24×C4—731no—
791C24×C4—731no—
792C22×C4⋊C4—731no—
793C22×C4⋊C4—731no—
794C22×C4⋊C4—731no—
795C22×C4⋊C4—731no—
796C22×C4⋊C4—731no—
797C22×C4⋊C4—731no—
798C22×C4⋊C4—731no—
799C22×C4⋊C4—731no—
800C22×C4⋊C4—731no—
801C22×C4⋊C4—731no—
802C22×C22⋊C4—731no—
803C22×C22⋊C4—731no—
804C22×C22⋊C4—731no—
805C22×C22⋊C4—731no—
806C22×C42—731no—
807C22×C42—731no—
808#400—731no—
809#400—731no—
810#400—731no—
811#400—731no—
812#400—731no—
813#400—731no—
814#400—731no—
815#400—731no—
816#400—731no—
817#400—731no—
818#400—731no—
819#400—731no—
820#400—731no—
821#400—731no—
822#400—731no—
823#400—731no—
824#400—731no—
825#400—731no—
826#400—731no—
827#400—731no—
828#400—731no—
829#400C2×D7311yescharacteristic, complemented
830#400C2×D7311yescharacteristic, complemented
831#400C2×D7311yescharacteristic, complemented
832#398—731no—
833#398—731no—
834#398—731no—
835#398—731no—
836#398—731no—
837#398—731no—
838#398—731no—
839#398C2×D7311yescharacteristic, complemented
840#389—731no—
841#389—731no—
842#389—731no—
843#389—731no—
844#389—731no—
845#389—731no—
846#389—731no—
847#389C2×D7311yescharacteristic, complemented
848#387—731no—
849#387—731no—
850#387—731no—
851#387—731no—
852#387—731no—
853#387—731no—
854#387—731no—
855#387—731no—
856#387—731no—
857#387—731no—
858#387—731no—
859#387—731no—
860#387—731no—
861#387—731no—
862#387C2×D7311yescharacteristic, complemented
863#387C2×D7311yescharacteristic, complemented
864#385—731no—
865#385—731no—
866#385—731no—
867#385—731no—
868#385—731no—
869#385—731no—
870#385—731no—
871#385—731no—
872#385—731no—
873#385—731no—
874#385—731no—
875#385—731no—
876#385—731no—
877#385—731no—
878#385—731no—
879#385—731no—
880#385—731no—
881#385—731no—
882#385—731no—
883#385—731no—
884#385—731no—
885#385—731no—
886#385—731no—
887#385—731no—
888#385—731no—
889#385—731no—
890#385—731no—
891#385—731no—
892#385C2×D7311yescharacteristic
893#385C2×D7311yescharacteristic
894#385C2×D7311yescharacteristic
895#385C2×D7311yescharacteristic
896#382—731no—
897#382—731no—
898#382—731no—
899#382—731no—
900#382—731no—
901#382—731no—
902#382—731no—
903#382C2×D7311yescharacteristic, complemented
904#380—731no—
905#380—731no—
906#380—731no—
907#380—731no—
908#380—731no—
909#380—731no—
910#380—731no—
911#380C2×D7311yescharacteristic
912C4×C22⋊C4—731no—
913C4×C22⋊C4—731no—
914C4×C22⋊C4—731no—
915C4×C22⋊C4—731no—
916C4×C22⋊C4—731no—
917C4×C22⋊C4—731no—
918C4×C22⋊C4—731no—
919C4×C22⋊C4C2×D7311yescharacteristic
920C2×#95—731no—
921C2×#95—731no—
922C2×#95—731no—
923C2×#95—731no—
924C2×#95—731no—
925C2×#95—731no—
926C2×#95—731no—
927C2×#95—731no—
928C2×#95—731no—
929C2×#95—731no—
930C2×#95—731no—
931C2×#95—731no—
932C2×#95—731no—
933C2×#95—731no—
934C2×#95—731no—
935C2×#95—731no—
936C2×#95—731no—
937C2×#95—731no—
938C2×#95—731no—
939C2×#95—731no—
940C2×#95—731no—
941C2×#95—731no—
942C2×#95—731no—
943C2×#95C2×D7311yescharacteristic
944C25—731no—
945C23×C4—2922no—
946C23×C4—2922no—
947C23×C4—2922no—
948C23×C4—2922no—
949C23×C4—731no—
950C23×C4—731no—
951C23×C4—731no—
952C23×C4—731no—
953C23×C4—731no—
954C23×C4—731no—
955C23×C4—731no—
956C23×C4—731no—
957C23×C4—731no—
958C23×C4—731no—
959C23×C4—731no—
960C23×C4—731no—
961C23×C4—731no—
962C23×C4—731no—
963C23×C4—731no—
964C23×C4—731no—
965C23×C4—731no—
966C23×C4—731no—
967C23×C4—731no—
968C23×C4—731no—
969C23×C4—731no—
970C23×C4—731no—
971C23×C4—731no—
972C23×C4—1464no—
973C23×C4—1464no—
974C23×C4—1464no—
975C23×C4—1464no—
976C23×C4—1464no—
977C23×C4C22×D7311yescharacteristic
978C23×C4C22×D7311yescharacteristic
979C23×C4C22×D7311yescharacteristic
980C2×C4⋊C4—2922no—
981C2×C4⋊C4—2922no—
982C2×C4⋊C4—2922no—
983C2×C4⋊C4—2922no—
984C2×C4⋊C4—2922no—
985C2×C4⋊C4—2922no—
986C2×C4⋊C4—2922no—
987C2×C4⋊C4—731no—
988C2×C4⋊C4—731no—
989C2×C4⋊C4—731no—
990C2×C4⋊C4—731no—
991C2×C4⋊C4—731no—
992C2×C4⋊C4—731no—
993C2×C4⋊C4—731no—
994C2×C4⋊C4—731no—
995C2×C4⋊C4—731no—
996C2×C4⋊C4—731no—
997C2×C4⋊C4—731no—
998C2×C4⋊C4—731no—
999C2×C4⋊C4—731no—
1000C2×C4⋊C4—731no—
1001C2×C4⋊C4—731no—
1002C2×C4⋊C4—731no—
1003C2×C4⋊C4—731no—
1004C2×C4⋊C4—731no—
1005C2×C4⋊C4—731no—
1006C2×C4⋊C4—731no—
1007C2×C4⋊C4—731no—
1008C2×C4⋊C4—731no—
1009C2×C4⋊C4—731no—
1010C2×C4⋊C4—731no—
1011C2×C4⋊C4—731no—
1012C2×C4⋊C4—731no—
1013C2×C4⋊C4—731no—
1014C2×C4⋊C4—731no—
1015C2×C4⋊C4—731no—
1016C2×C4⋊C4—731no—
1017C2×C4⋊C4—1464no—
1018C2×C4⋊C4—1464no—
1019C2×C4⋊C4—1464no—
1020C2×C4⋊C4C22×D7311yescharacteristic
1021C2×C4⋊C4C22×D7311yescharacteristic
1022C2×C4⋊C4C22×D7311yescharacteristic
1023C2×C4⋊C4C22×D7311yescharacteristic
1024C2×C4⋊C4C22×D7311yescharacteristic
1025C2×C4⋊C4C22×D7311yescharacteristic
1026C2×C4⋊C4C22×D7311yescharacteristic
1027C2×C4⋊C4C22×D7311yescharacteristic
1028C2×C4⋊C4C22×D7311yescharacteristic
1029C2×C4⋊C4C22×D7311yescharacteristic
1030C2×C22⋊C4—731no—
1031C2×C22⋊C4—731no—
1032C2×C22⋊C4—731no—
1033C2×C22⋊C4—738no—
1034C2×C22⋊C4—731no—
1035C2×C22⋊C4—731no—
1036C2×C22⋊C4—731no—
1037C2×C22⋊C4—731no—
1038C2×C22⋊C4—731no—
1039C2×C22⋊C4—731no—
1040C2×C22⋊C4—731no—
1041C2×C22⋊C4—731no—
1042C2×C22⋊C4—731no—
1043C2×C22⋊C4—1464no—
1044C2×C22⋊C4—1464no—
1045C2×C22⋊C4—1464no—
1046C2×C22⋊C4C22×D7311yescharacteristic
1047C2×C22⋊C4C22×D7311yescharacteristic
1048C2×C22⋊C4C22×D7311yescharacteristic
1049C2×C22⋊C4C22×D7311yescharacteristic
1050C2×C42—2922no—
1051C2×C42—731no—
1052C2×C42—731no—
1053C2×C42—731no—
1054C2×C42—731no—
1055C2×C42—731no—
1056C2×C42—731no—
1057C2×C42—1464no—
1058C2×C42C22×D7311yescharacteristic
1059C2×C42C22×D7311yescharacteristic
1060#95—731no—
1061#95—731no—
1062#95—731no—
1063#95—731no—
1064#95—731no—
1065#95—731no—
1066#95—731no—
1067#95—731no—
1068#95—731no—
1069#95—731no—
1070#95—731no—
1071#95—731no—
1072#95—731no—
1073#95—731no—
1074#95—731no—
1075#95—731no—
1076#95—731no—
1077#95—731no—
1078#95—731no—
1079#95—731no—
1080#95—731no—
1081#95—731no—
1082#95—731no—
1083#95—731no—
1084#95—731no—
1085#95—731no—
1086#95—731no—
1087#95—731no—
1088#95—731no—
1089#95—731no—
1090#95—731no—
1091#95—731no—
1092#95—731no—
1093#95—731no—
1094#95—731no—
1095#95—731no—
1096#95—731no—
1097#95—731no—
1098#95—731no—
1099#95—731no—
1100#95—731no—
1101#95—731no—
1102#95—731no—
1103#95—731no—
1104#95—731no—
1105#95—731no—
1106#95—731no—
1107#95—731no—
1108#95C22×D7311yescharacteristic
1109#95C22×D7311yescharacteristic
1110#95C22×D7311yescharacteristic
1111#95C22×D7311yescharacteristic
1112#95C22×D7311yescharacteristic
1113#95C22×D7311yescharacteristic
1114#95C22×D7311yescharacteristic
1115#95C22×D7311yescharacteristic
1116#95C22×D7311yescharacteristic
1117#95C22×D7311yescharacteristic
1118#95C22×D7311yescharacteristic
1119#95C22×D7311yescharacteristic
1120#95C22×D7311yescharacteristic
1121#95C22×D7311yescharacteristic
1122#95C22×D7311yescharacteristic
1123#95C22×D7311yescharacteristic
1124C24—731no—
1125C24—734no—
1126C24—734no—
1127C24—734no—
1128C24—731no—
1129C24—1462no—
1130C24—1462no—
1131C24—1462no—
1132C24—1462no—
1133C24C23×D7311yescharacteristic
1134C22×C4—22no—
1135C22×C4—22no—
1136C22×C4—22no—
1137C22×C4—22no—
1138C22×C4—22no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4—2921no—
1144C22×C4—2921no—
1145C22×C4—2921no—
1146C22×C4—2921no—
1147C22×C4—2921no—
1148C22×C4—2921no—
1149C22×C4—2921no—
1150C22×C4—2921no—
1151C22×C4—29216no—
1152C22×C4—29216no—
1153C22×C4—29216no—
1154C22×C4—2921no—
1155C22×C4—2921no—
1156C22×C4—2921no—
1157C22×C4—2921no—
1158C22×C4—731no—
1159C22×C4—731no—
1160C22×C4—731no—
1161C22×C4—731no—
1162C22×C4—734no—
1163C22×C4—734no—
1164C22×C4—734no—
1165C22×C4—734no—
1166C22×C4—731no—
1167C22×C4—731no—
1168C22×C4—731no—
1169C22×C4—731no—
1170C22×C4—731no—
1171C22×C4—731no—
1172C22×C4—731no—
1173C22×C4—731no—
1174C22×C4—731no—
1175C22×C4—731no—
1176C22×C4—1462no—
1177C22×C4—1462no—
1178C22×C4—1462no—
1179C22×C4—1462no—
1180C22×C4—1462no—
1181C22×C4—1462no—
1182C22×C4—1462no—
1183C22×C4—1462no—
1184C22×C4—1462no—
1185C22×C4—1462no—
1186C22×C4—1462no—
1187C22×C4—1462no—
1188C22×C4—1462no—
1189C22×C4—1462no—
1190C22×C4—1462no—
1191C22×C4—1462no—
1192C22×C4—1462no—
1193C22×C4—1462no—
1194C22×C4—1462no—
1195C22×C4—1462no—
1196C22×C4—1462no—
1197C22×C4—1462no—
1198C22×C4—1462no—
1199C22×C4—1462no—
1200C22×C4—1462no—
1201C22×C4—1462no—
1202C22×C4—1462no—
1203C22×C4—1462no—
1204C22×C4—1462no—
1205C22×C4—1462no—
1206C22×C4—1462no—
1207C22×C4—1462no—
1208C22×C4—1462no—
1209C22×C4—1462no—
1210C22×C4—1462no—
1211C22×C4—1462no—
1212C22×C4—1462no—
1213C22×C4—1462no—
1214C22×C4—1462no—
1215C22×C4—1462no—
1216C22×C4—1462no—
1217C22×C4—1462no—
1218C22×C4—1462no—
1219C22×C4—1462no—
1220C22×C4—1462no—
1221C22×C4—1462no—
1222C22×C4—1462no—
1223C22×C4—1462no—
1224C22×C4—1462no—
1225C22×C4—1462no—
1226C22×C4—1462no—
1227C22×C4—1462no—
1228C22×C4—1462no—
1229C22×C4C23×D7311yescharacteristic
1230C22×C4C23×D7311yescharacteristic
1231C22×C4C23×D7311yescharacteristic
1232C22×C4C23×D7311yescharacteristic
1233C22×C4C23×D7311yescharacteristic
1234C22×C4C23×D7311yescharacteristic
1235C22×C4C23×D7311yescharacteristic
1236C22×C4C23×D7311yescharacteristic
1237C22×C4C23×D7311yescharacteristic
1238C22×C4C23×D7311yescharacteristic
1239C22×C4C23×D7311yescharacteristic
1240C22×C4C23×D7311yescharacteristic
1241C22×C4C23×D7311yescharacteristic
1242C22×C4C23×D7311yescharacteristic
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—2921no—
1254C4⋊C4—2921no—
1255C4⋊C4—2921no—
1256C4⋊C4—2921no—
1257C4⋊C4—2921no—
1258C4⋊C4—2921no—
1259C4⋊C4—2921no—
1260C4⋊C4—2921no—
1261C4⋊C4—2921no—
1262C4⋊C4—2921no—
1263C4⋊C4—2921no—
1264C4⋊C4—2921no—
1265C4⋊C4—2921no—
1266C4⋊C4—2921no—
1267C4⋊C4—2921no—
1268C4⋊C4—2921no—
1269C4⋊C4—2921no—
1270C4⋊C4—2921no—
1271C4⋊C4—2921no—
1272C4⋊C4—2921no—
1273C4⋊C4—2921no—
1274C4⋊C4—1462no—
1275C4⋊C4—1462no—
1276C4⋊C4—1462no—
1277C4⋊C4—1462no—
1278C4⋊C4—1462no—
1279C4⋊C4—1462no—
1280C4⋊C4—1462no—
1281C4⋊C4—1462no—
1282C4⋊C4—1462no—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—734no—
1287C22⋊C4—734no—
1288C22⋊C4—734no—
1289C22⋊C4—1462no—
1290C22⋊C4—1462no—
1291C22⋊C4—1462no—
1292C22⋊C4—1462no—
1293C22⋊C4—1462no—
1294C22⋊C4—1462no—
1295C22⋊C4—1462no—
1296C22⋊C4—1462no—
1297C22⋊C4—1462no—
1298C22⋊C4Q8×D7314yes—
1299C42—22no—
1300C42—41no—
1301C42—2921no—
1302C42—2921no—
1303C42—2921no—
1304C42—1462no—
1305C42—1462no—
1306C42—1462no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—732no—
1312C23—732no—
1313C23—732no—
1314C23—732no—
1315C23—732no—
1316C23—732no—
1317C23—732no—
1318C23—732no—
1319C23—732no—
1320C23—732no—
1321C23—7316no—
1322C23—1468no—
1323C23—1468no—
1324C23—1468no—
1325C23—1468no—
1326C23—1468no—
1327C23—1468no—
1328C23—1461no—
1329C23—1461no—
1330C23—1461no—
1331C23—1461no—
1332C23C2×Q8×D7312yes—
1333C23#41×D7312yes—
1334C23#41×D7312yes—
1335C23C24×D7311yescharacteristic
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—44no—
1375C2×C4—44no—
1376C2×C4—44no—
1377C2×C4—2924no—
1378C2×C4—2924no—
1379C2×C4—2924no—
1380C2×C4—2924no—
1381C2×C4—2924no—
1382C2×C4—2924no—
1383C2×C4—2924no—
1384C2×C4—2924no—
1385C2×C4—2924no—
1386C2×C4—2924no—
1387C2×C4—2924no—
1388C2×C4—2924no—
1389C2×C4—2924no—
1390C2×C4—2924no—
1391C2×C4—2924no—
1392C2×C4—2924no—
1393C2×C4—2924no—
1394C2×C4—2924no—
1395C2×C4—2924no—
1396C2×C4—732no—
1397C2×C4—732no—
1398C2×C4—732no—
1399C2×C4—732no—
1400C2×C4—1468no—
1401C2×C4—1468no—
1402C2×C4—1468no—
1403C2×C4—1468no—
1404C2×C4—1461no—
1405C2×C4—1461no—
1406C2×C4—1461no—
1407C2×C4—1461no—
1408C2×C4—1461no—
1409C2×C4—1461no—
1410C2×C4—1461no—
1411C2×C4—1461no—
1412C2×C4—1461no—
1413C2×C4—1461no—
1414C2×C4—1461no—
1415C2×C4—1461no—
1416C2×C4—1461no—
1417C2×C4—1461no—
1418C2×C4—1461no—
1419C2×C4—1461no—
1420C2×C4—1461no—
1421C2×C4—1461no—
1422C2×C4—1461no—
1423C2×C4—1461no—
1424C2×C4—1461no—
1425C2×C4—1461no—
1426C2×C4—1461no—
1427C2×C4—1461no—
1428C2×C4—1461no—
1429C2×C4—1461no—
1430C2×C4—1461no—
1431C2×C4—1461no—
1432C2×C4—1461no—
1433C2×C4—1461no—
1434C2×C4—1461no—
1435C2×C4—1461no—
1436C2×C4—1461no—
1437C2×C4—1461no—
1438C2×C4—1461no—
1439C2×C4—1461no—
1440C2×C4—1461no—
1441C2×C4—1461no—
1442C2×C4C2×Q8×D7312yes—
1443C2×C4C2×Q8×D7312yes—
1444C2×C4#41×D7312yes—
1445C2×C4#41×D7312yes—
1446C22—22no—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—22no—
1452C22—734no—
1453C22—734no—
1454C22—734no—
1455C22—734no—
1456C22—734no—
1457C22—734no—
1458C22—734no—
1459C22—734no—
1460C22—14632no—
1461C22—1462no—
1462C22—1462no—
1463C22—1462no—
1464C22—1462no—
1465C22—1462no—
1466C22—1462no—
1467C22#125×D7314yes—
1468C22C22×Q8×D7311yescharacteristic
1469C22C2×#41×D7311yescharacteristic
1470C22C2×#41×D7311yescharacteristic
1471C22C2×#41×D7311yescharacteristic
1472C22C2×#41×D7311yescharacteristic
1473C22H(5,𝔽2)×D7311yescharacteristic
1474C22H(5,𝔽2)×D7311yescharacteristic
1475C4—22no—
1476C4—22no—
1477C4—22no—
1478C4—22no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—41no—
1487C4—41no—
1488C4—41no—
1489C4—2921no—
1490C4—2921no—
1491C4—2921no—
1492C4—2921no—
1493C4—2921no—
1494C4—2921no—
1495C4—2921no—
1496C4—2921no—
1497C4—2921no—
1498C4—2921no—
1499C4—1462no—
1500C4—1462no—
1501C4—1462no—
1502C4—1462no—
1503C2—24no—
1504C2—738no—
1505C2—1464no—
1506C2C2×#125×D7311yescharacteristic
1507C2#529×D7311yescharacteristic
1508C2#538×D7311yescharacteristic
1509C2#551×D7311yescharacteristic
1510C2#551×D7311yescharacteristic
1511C2#554×D7311yescharacteristic
1512C2#554×D7311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2505C2
prime radicalC24×D73C23
hypercenter#2505D73
hypocenterC73C2×#2505
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2505

Complements

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

NH ≅ G/Ntype
1. #22614439C2semidirect
2. #22614438C2semidirect
3. #22614437C2semidirect
4. #22614436C2semidirect
5. #22614435C2semidirect
6. #22614434C2semidirect
7. #22614433C2semidirect
8. #22614432C2semidirect
9. #22614431C2semidirect
10. #22614430C2semidirect
11. #22614429C2semidirect
12. #22614428C2semidirect
13. #22614427C2semidirect
14. #22614426C2semidirect
15. #22614425C2semidirect
16. #400×D73C2semidirect
17. #400×D73C2semidirect
18. #400×D73C2semidirect
19. #398×D73C2semidirect
20. #389×D73C2semidirect
21. #387×D73C2semidirect
22. #387×D73C2semidirect
27. #382×D73C2semidirect
31. C73×#2505C2semidirect
51. #17988529C22semidirect
52. #17988529C22semidirect
53. #17988529C22semidirect
54. #17988529C22semidirect
55. #17988529C22semidirect
56. #17988529C22semidirect
57. #17988528C22semidirect
58. #17988528C22semidirect
59. #17988528C22semidirect
60. #17988528C22semidirect
61. #17988528C22semidirect
62. #17988528C22semidirect
63. #17988527C22semidirect
64. #17988527C22semidirect
65. #17988527C22semidirect
66. #17988526C22semidirect
67. #17988526C22semidirect
68. #17988526C22semidirect
69. #17988525C22semidirect
70. #17988525C22semidirect
71. #17988525C22semidirect
72. #17988521C22semidirect
73. #17988521C22semidirect
74. #17988520C22semidirect
75. #17988520C22semidirect
76. #17988519C22semidirect
77. #17988518C22semidirect
78. #17988517C22semidirect
79. #17988486C22semidirect
80. #17988485C22semidirect
81. #17988484C22semidirect
82. #17988484C22semidirect
83. #17988483C22semidirect
84. #17988482C22semidirect
85. #17988482C22semidirect
86. #17988474C22semidirect
87. #17988474C22semidirect
88. #17988473C22semidirect
89. #17988473C22semidirect
90. #17988472C22semidirect
91. #17988472C22semidirect
92. #17988471C22semidirect
93. #17988471C22semidirect
94. #17988470C22semidirect
95. #17988470C22semidirect
96. #17988469C22semidirect
97. #17988469C22semidirect
98. #17988468C22semidirect
99. #17988468C22semidirect
128. #17988453C22semidirect
129. #17988452C22semidirect
130. #17988452C22semidirect
131. #17988451C22semidirect
132. #17988451C22semidirect
133. #17988451C22semidirect
134. #17988451C22semidirect
172. #400×C73C22semidirect
173. #400×C73C22semidirect
174. #400×C73C22semidirect
175. #398×C73C22semidirect
176. #389×C73C22semidirect
177. #387×C73C22semidirect
178. #387×C73C22semidirect
183. #382×C73C22semidirect
756. D73#2505direct (N × H)
772. #2505D73direct (N × H)
788. C73C2×#2505semidirect
829. #400C2×D73semidirect
830. #400C2×D73semidirect
831. #400C2×D73semidirect
839. #398C2×D73semidirect
847. #389C2×D73semidirect
862. #387C2×D73semidirect
863. #387C2×D73semidirect
903. #382C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226144392
#226144382
#226144372
#226144362
#226144352
#226144342
#226144332
#226144322
#226144312
#226144302
#226144292
#226144282
#226144272
#226144262
#226144252
#400×D732
#398×D732
#389×D732
#387×D732
#385×D732
#382×D732
#380×D732
C4×C22⋊C4×D732
C2×#95×D732
C73×#25052
C2×#250573