Finite Group Databasebeta

← #33300132

Subgroups — #33300132

Order 18688.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22618261C211yesmaximal, characteristic, complemented
2#22618251C211yesmaximal, characteristic, complemented
3#22617785C211yesmaximal, characteristic, complemented
4#22617566C211yesmaximal, characteristic, complemented
5#22617563C211yesmaximal, characteristic, complemented
6#22617552C211yesmaximal, characteristic, complemented
7#22617444C211yesmaximal, characteristic, complemented
8#22617372C211yesmaximal, characteristic, complemented
9#22617213C211yesmaximal, characteristic, complemented
10#22617186C211yesmaximal, characteristic, complemented
11#22617163C211yesmaximal, characteristic, complemented
12#22617048C211yesmaximal, characteristic, complemented
13#22616977C211yesmaximal, characteristic, complemented
14#22616972C211yesmaximal, characteristic, complemented
15#22616554C211yesmaximal, characteristic, complemented
16#22616477C211yesmaximal, characteristic, complemented
17#22616318C211yesmaximal, characteristic, complemented
18#22615883C211yesmaximal, characteristic, complemented
19#22615862C211yesmaximal, characteristic, complemented
20#22614260C211yesmaximal, characteristic, complemented
21#22614193C211yesmaximal, characteristic, complemented
22#22613663C211yesmaximal, characteristic, complemented
23#22613593C211yesmaximal, characteristic, complemented
24#22613481C211yesmaximal, characteristic, complemented
25#22613322C211yesmaximal, characteristic, complemented
26#22613301C211yesmaximal, characteristic
27#22613256C211yesmaximal, characteristic, complemented
28#22612587C211yesmaximal, characteristic, complemented
29#22612507C211yesmaximal, characteristic, complemented
30#388×D73C211yesmaximal, characteristic, complemented
31C73×#2697C211yesmaximal, characteristic, complemented
32C23×C22⋊D73C2211yescharacteristic
33C2×#14556584C2211yescharacteristic, complemented
34C2×#14556573C2211yescharacteristic
35C2×#14556573C2211yescharacteristic
36C2×#14556573C2211yescharacteristic, complemented
37C2×#14556571C2211yescharacteristic, complemented
38C2×#14556569C2211yescharacteristic, complemented
39C2×#14556562C2211yescharacteristic
40C2×#14556562C2211yescharacteristic
41C2×#14556559C2211yescharacteristic
42C2×C4×C22⋊D73C2211yescharacteristic, complemented
43C2×C4⋊C4×D73C2211yescharacteristic, complemented
44C2×C22⋊C4×D73C2211yescharacteristic
45C2×C22⋊C4×D73C2211yescharacteristic
46C2×C22⋊C4×D73C2211yescharacteristic
47C2×C22⋊C4×D73C2211yescharacteristic
48C2×C42×D73C2211yescharacteristic, complemented
49C73⋊#401C2211yescharacteristic, complemented
50#17988529C2211yescharacteristic, complemented
51#17988528C2211yescharacteristic, complemented
52#17988528C2211yescharacteristic, complemented
53#17988528C2211yescharacteristic, complemented
54#17988527C2211yescharacteristic, complemented
55#17988527C2211yescharacteristic, complemented
56#17988526C2211yescharacteristic, complemented
57#17988526C2211yescharacteristic, complemented
58#17988526C2211yescharacteristic, complemented
59#17988523C2211yescharacteristic
60#17988523C2211yescharacteristic, complemented
61#17988520C2211yescharacteristic, complemented
62#17988519C2211yescharacteristic, complemented
63#17988515C2211yescharacteristic
64#17988515C2211yescharacteristic, complemented
65#17988515C2211yescharacteristic, complemented
66#17988515C2211yescharacteristic, complemented
67#17988515C2211yescharacteristic, complemented
68#17988515C2211yescharacteristic, complemented
69#17988512C2211yescharacteristic
70#17988512C2211yescharacteristic, complemented
71#17988512C2211yescharacteristic, complemented
72#17988510C2211yescharacteristic
73#17988510C2211yescharacteristic, complemented
74#17988510C2211yescharacteristic, complemented
75#17988503C2211yescharacteristic
76#17988503C2211yescharacteristic
77#17988503C2211yescharacteristic
78#17988503C2211yescharacteristic
79#17988502C2211yescharacteristic
80#17988502C2211yescharacteristic
81#17988501C2211yescharacteristic
82#17988501C2211yescharacteristic, complemented
83#17988501C2211yescharacteristic, complemented
84#17988501C2211yescharacteristic, complemented
85#17988499C2211yescharacteristic
86#17988499C2211yescharacteristic, complemented
87#17988499C2211yescharacteristic, complemented
88#17988499C2211yescharacteristic, complemented
89#17988495C2211yescharacteristic
90#17988495C2211yescharacteristic
91#17988491C2211yescharacteristic, complemented
92#17988490C2211yescharacteristic
93#17988490C2211yescharacteristic, complemented
94#17988487C2211yescharacteristic, complemented
95#17988486C2211yescharacteristic, complemented
96#17988485C2211yescharacteristic, complemented
97#17988484C2211yescharacteristic, complemented
98#17988481C2211yescharacteristic
99#17988481C2211yescharacteristic, complemented
100#17988481C2211yescharacteristic, complemented
101#17988481C2211yescharacteristic, complemented
102#17988481C2211yescharacteristic, complemented
103#17988481C2211yescharacteristic, complemented
104#17988480C2211yescharacteristic
105#17988480C2211yescharacteristic, complemented
106#17988480C2211yescharacteristic, complemented
107#17988480C2211yescharacteristic, complemented
108#17988480C2211yescharacteristic, complemented
109#17988480C2211yescharacteristic, complemented
110#17988479C2211yescharacteristic, complemented
111#17988479C2211yescharacteristic, complemented
112#17988478C2211yescharacteristic, complemented
113#17988477C2211yescharacteristic, complemented
114#17988476C2211yescharacteristic, complemented
115#17988476C2211yescharacteristic, complemented
116#17988475C2211yescharacteristic
117#17988475C2211yescharacteristic
118#17988475C2211yescharacteristic
119#17988475C2211yescharacteristic, complemented
120#17988475C2211yescharacteristic, complemented
121#17988474C2211yescharacteristic, complemented
122#17988473C2211yescharacteristic, complemented
123#17988473C2211yescharacteristic, complemented
124#17988473C2211yescharacteristic, complemented
125#17988472C2211yescharacteristic, complemented
126#17988471C2211yescharacteristic, complemented
127#17988468C2211yescharacteristic, complemented
128#17988467C2211yescharacteristic
129#17988466C2211yescharacteristic, complemented
130#17988463C2211yescharacteristic
131#17988463C2211yescharacteristic
132#17988463C2211yescharacteristic
133#17988463C2211yescharacteristic
134#17988463C2211yescharacteristic
135#17988463C2211yescharacteristic
136#17988463C2211yescharacteristic
137#17988463C2211yescharacteristic
138#17988463C2211yescharacteristic
139#17988463C2211yescharacteristic
140#17988463C2211yescharacteristic
141#17988463C2211yescharacteristic
142#17988463C2211yescharacteristic, complemented
143#17988463C2211yescharacteristic, complemented
144#17988463C2211yescharacteristic, complemented
145#17988463C2211yescharacteristic, complemented
146#17988462C2211yescharacteristic
147#17988462C2211yescharacteristic
148#17988461C2211yescharacteristic, complemented
149#17988461C2211yescharacteristic, complemented
150#17988460C2211yescharacteristic, complemented
151#17988459C2211yescharacteristic
152#17988458C2211yescharacteristic, complemented
153#17988458C2211yescharacteristic, complemented
154#17988458C2211yescharacteristic, complemented
155#17988458C2211yescharacteristic, complemented
156#17988452C2211yescharacteristic, complemented
157#17988449C2211yescharacteristic, complemented
158#17988448C2211yescharacteristic
159#17988448C2211yescharacteristic
160#17988447C2211yescharacteristic, complemented
161#17988446C2211yescharacteristic, complemented
162#17988446C2211yescharacteristic, complemented
163#17988444C2211yescharacteristic, complemented
164#17988444C2211yescharacteristic, complemented
165#17988443C2211yescharacteristic
166#17988443C2211yescharacteristic
167#17988443C2211yescharacteristic
168#17988442C2211yescharacteristic
169#17988434C2211yescharacteristic, complemented
170#95×D73C2211yescharacteristic, complemented
171#95×D73C2211yescharacteristic, complemented
172C2×#123×C73C2211yescharacteristic, complemented
173C2×#120×C73C2211yescharacteristic
174#397×C73C2211yescharacteristic, complemented
175#397×C73C2211yescharacteristic, complemented
176#396×C73C2211yescharacteristic
177#396×C73C2211yescharacteristic, complemented
178#394×C73C2211yescharacteristic
179#394×C73C2211yescharacteristic, complemented
180#390×C73C2211yescharacteristic, complemented
181#388×C73C2211yescharacteristic
182#388×C73C2211yescharacteristic, complemented
183#386×C73C2211yescharacteristic
184#386×C73C2211yescharacteristic, complemented
185#379×C73C2211yescharacteristic
186#379×C73C2211yescharacteristic
187C24×D73C2311yescharacteristic
188C22×Dic146C2311yescharacteristic
189C22×C22⋊D73—24no—
190C22×C22⋊D73—42no—
191C22×C22⋊D73—42no—
192C22×C22⋊D73C2311yescharacteristic
193C22×C22⋊D73C2311yescharacteristic
194C22×C22⋊D73C2311yescharacteristic
195C22×C22⋊D73C2311yescharacteristic
196C22×C22⋊D73C2311yescharacteristic
197C22×C22⋊D73C2311yescharacteristic
198C23×Dic73C2311yescharacteristic
199C22×C4×D73C2311yescharacteristic
200C22×C4×D73C2311yescharacteristic
201C22×C4×D73C2311yescharacteristic
202C22×C4×D73C2311yescharacteristic
203C22×C4×D73C2311yescharacteristic
204C22×C4×D73C2311yescharacteristic
205C22×C4×D73C2311yescharacteristic
206C22×C4×D73C2311yescharacteristic
207#14556584—42no—
208#14556573—42no—
209#14556573—42no—
210#14556573—42no—
211#14556571—42no—
212#14556569—42no—
213#14556562—42no—
214#14556562—42no—
215#14556559—24no—
216C4×C22⋊D73—42no—
217C2×C4⋊Dic73C2311yescharacteristic
218C2×C4⋊Dic73C2311yescharacteristic
219C2×C4⋊Dic73C2311yescharacteristic
220C2×C4⋊Dic73C2311yescharacteristic
221C2×C4⋊Dic73C2311yescharacteristic
222C2×C4⋊Dic73C2311yescharacteristic
223C2×C4⋊Dic73C2311yescharacteristic
224C2×C4⋊Dic73C2311yescharacteristic
225C2×C4⋊Dic73C2311yescharacteristic
226C2×#11924007C2311yescharacteristic
227C2×#11924007C2311yescharacteristic
228C2×#11924007C2311yescharacteristic
229C2×#11924007C2311yescharacteristic
230C2×#11924007C2311yescharacteristic
231C2×#11924007C2311yescharacteristic
232C2×#11924007C2311yescharacteristic
233C2×#11924007C2311yescharacteristic
234C2×#11924007C2311yescharacteristic
235C2×#11924007C2311yescharacteristic
236C2×#11924007C2311yescharacteristic
237C2×#11924007C2311yescharacteristic
238C4⋊C4×D73—42no—
239C2×C22⋊Dic73C2311yescharacteristic
240C2×C22⋊Dic73C2311yescharacteristic
241C2×C22⋊Dic73C2311yescharacteristic
242C2×C22⋊Dic73C2311yescharacteristic
243C2×C22⋊Dic73C2311yescharacteristic
244C2×C22⋊Dic73C2311yescharacteristic
245C2×C22⋊Dic73C2311yescharacteristic
246C2×C22⋊Dic73C2311yescharacteristic
247C2×C22⋊Dic73C2311yescharacteristic
248C2×C22⋊Dic73C2311yescharacteristic
249C2×C22⋊Dic73C2311yescharacteristic
250C2×C22⋊Dic73C2311yescharacteristic
251C2×C22⋊Dic73C2311yescharacteristic
252C2×C22⋊Dic73C2311yescharacteristic
253C2×C22⋊Dic73C2311yescharacteristic
254C2×C22⋊Dic73C2311yescharacteristic
255C2×C22⋊Dic73C2311yescharacteristic
256C2×C22⋊Dic73C2311yescharacteristic
257C2×C22⋊Dic73C2311yescharacteristic
258C2×C22⋊Dic73C2311yescharacteristic
259C2×C22⋊Dic73C2311yescharacteristic
260C2×C22⋊Dic73C2311yescharacteristic
261C2×C22⋊Dic73C2311yescharacteristic
262C2×C22⋊Dic73C2311yescharacteristic
263C2×#11924005C2311yescharacteristic
264C2×#11924005C2311yescharacteristic
265C2×#11924005C2311yescharacteristic
266C2×#11924005C2311yescharacteristic
267C2×#11924005C2311yescharacteristic
268C2×#11924005C2311yescharacteristic
269C2×#11924005C2311yescharacteristic
270C2×#11924005C2311yescharacteristic
271C2×#11924005C2311yescharacteristic
272C2×#11924005C2311yescharacteristic
273C2×#11924005C2311yescharacteristic
274C2×#11924005C2311yescharacteristic
275C2×#11924005C2311yescharacteristic
276C2×#11924005C2311yescharacteristic
277C22⋊C4×D73—24no—
278C22⋊C4×D73—42no—
279C22⋊C4×D73—42no—
280C22⋊C4×D73—42no—
281C2×C4×Dic73C2311yescharacteristic
282C2×C4×Dic73C2311yescharacteristic
283C2×C4×Dic73C2311yescharacteristic
284C2×C4×Dic73C2311yescharacteristic
285C2×C4×Dic73C2311yescharacteristic
286C2×C4×Dic73C2311yescharacteristic
287C42×D73—42no—
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
326C25×C73C2311yescharacteristic
327C22×D4×C73C2311yescharacteristic
328C22×D4×C73C2311yescharacteristic
329C22×D4×C73C2311yescharacteristic
330C23×C4×C73C2311yescharacteristic
331#123×C73—42no—
332#120×C73—42no—
333C2×C4⋊C4×C73C2311yescharacteristic
334C2×C4⋊C4×C73C2311yescharacteristic
335C2×C4⋊C4×C73C2311yescharacteristic
336C2×C4⋊C4×C73C2311yescharacteristic
337C2×C4⋊C4×C73C2311yescharacteristic
338C2×C22⋊C4×C73C2311yescharacteristic
339C2×C22⋊C4×C73C2311yescharacteristic
340C2×C22⋊C4×C73C2311yescharacteristic
341C2×C22⋊C4×C73C2311yescharacteristic
342C2×C22⋊C4×C73C2311yescharacteristic
343C2×C22⋊C4×C73C2311yescharacteristic
344C2×C22⋊C4×C73C2311yescharacteristic
345C2×C22⋊C4×C73C2311yescharacteristic
346C2×C22⋊C4×C73C2311yescharacteristic
347C2×C22⋊C4×C73C2311yescharacteristic
348C2×C22⋊C4×C73C2311yescharacteristic
349C2×C22⋊C4×C73C2311yescharacteristic
350C2×C22⋊C4×C73C2311yescharacteristic
351C2×C22⋊C4×C73C2311yescharacteristic
352C2×C22⋊C4×C73C2311yescharacteristic
353C2×C22⋊C4×C73C2311yescharacteristic
354C2×C22⋊C4×C73C2311yescharacteristic
355C2×C22⋊C4×C73C2311yescharacteristic
356C2×C42×C73C2311yescharacteristic
357#95×C73C2311yescharacteristic
358#95×C73C2311yescharacteristic
359#95×C73C2311yescharacteristic
360#95×C73C2311yescharacteristic
361#95×C73C2311yescharacteristic
362#95×C73C2311yescharacteristic
363C23×D73—22no—
364C23×D73—22no—
365C23×D73—41no—
366C23×D73—41no—
367C23×D73—41no—
368C23×D73—41no—
369C23×D73#4114yes—
370C23×D73C2411yescharacteristic
371C23×D73C2411yescharacteristic
372C2×Dic146—41no—
373C2×Dic146—41no—
374C2×Dic146—41no—
375C2×C22⋊D73—22no—
376C2×C22⋊D73—22no—
377C2×C22⋊D73—22no—
378C2×C22⋊D73—22no—
379C2×C22⋊D73—22no—
380C2×C22⋊D73—22no—
381C2×C22⋊D73—22no—
382C2×C22⋊D73—22no—
383C2×C22⋊D73—22no—
384C2×C22⋊D73—22no—
385C2×C22⋊D73—22no—
386C2×C22⋊D73—22no—
387C2×C22⋊D73—41no—
388C2×C22⋊D73—41no—
389C2×C22⋊D73—41no—
390C2×C22⋊D73—41no—
391C2×C22⋊D73—41no—
392C2×C22⋊D73—41no—
393C2×C22⋊D73—416no—
394C22×Dic73—22no—
395C22×Dic73—41no—
396C22×Dic73—41no—
397C22×Dic73C2411yescharacteristic
398C22×Dic73C2411yescharacteristic
399C22×Dic73C2411yescharacteristic
400C22×Dic73C2411yescharacteristic
401C22×Dic73C2411yescharacteristic
402C22×Dic73C2411yescharacteristic
403C22×Dic73C2411yescharacteristic
404C22×Dic73C2411yescharacteristic
405C22×Dic73C2411yescharacteristic
406C22×Dic73C2411yescharacteristic
407C22×Dic73C2411yescharacteristic
408C22×Dic73C2411yescharacteristic
409C22×Dic73C2411yescharacteristic
410C22×Dic73C2411yescharacteristic
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—41no—
421C2×C4×D73—41no—
422C2×C4×D73—41no—
423C2×C4×D73—41no—
424C2×C4×D73—41no—
425C2×C4×D73—41no—
426C2×C4×D73—41no—
427C2×C4×D73—41no—
428C2×C4×D73—41no—
429C2×C4×D73—41no—
430C2×C4×D73—41no—
431C2×C4×D73—41no—
432C2×C4×D73—41no—
433C2×C4×D73—41no—
434C2×C4×D73—41no—
435C4⋊Dic73—22no—
436C4⋊Dic73—41no—
437C4⋊Dic73—41no—
438C4⋊Dic73—41no—
439C4⋊Dic73—41no—
440C4⋊Dic73—41no—
441C4⋊Dic73—41no—
442C4⋊Dic73—41no—
443C4⋊Dic73—41no—
444#11924007—22no—
445#11924007—41no—
446#11924007—41no—
447#11924007—41no—
448#11924007—41no—
449#11924007—41no—
450#11924007—41no—
451#11924007—41no—
452#11924007—41no—
453#11924007—41no—
454#11924007—41no—
455#11924007—41no—
456C22⋊Dic73—22no—
457C22⋊Dic73—22no—
458C22⋊Dic73—41no—
459C22⋊Dic73—41no—
460C22⋊Dic73—41no—
461C22⋊Dic73—41no—
462C22⋊Dic73—41no—
463C22⋊Dic73—41no—
464C22⋊Dic73—41no—
465C22⋊Dic73—41no—
466C22⋊Dic73—41no—
467C22⋊Dic73—41no—
468C22⋊Dic73—41no—
469C22⋊Dic73—41no—
470C22⋊Dic73—41no—
471C22⋊Dic73—41no—
472C22⋊Dic73—41no—
473C22⋊Dic73—41no—
474C22⋊Dic73—41no—
475C22⋊Dic73—41no—
476C22⋊Dic73—41no—
477C22⋊Dic73—41no—
478C22⋊Dic73—41no—
479C22⋊Dic73—41no—
480#11924005—22no—
481#11924005—22no—
482#11924005—22no—
483#11924005—22no—
484#11924005—22no—
485#11924005—22no—
486#11924005—22no—
487#11924005—22no—
488#11924005—22no—
489#11924005—41no—
490#11924005—41no—
491#11924005—41no—
492#11924005—41no—
493#11924005—41no—
494C4×Dic73—41no—
495C4×Dic73—41no—
496C4×Dic73—41no—
497C4×Dic73—41no—
498C4×Dic73—41no—
499C4×Dic73—41no—
500C24×C73—22no—
501C24×C73—41no—
502C24×C73—41no—
503C24×C73—41no—
504C24×C73—41no—
505C24×C73—41no—
506C24×C73—41no—
507C24×C73C2411yescharacteristic
508C24×C73C2411yescharacteristic
509C24×C73C2411yescharacteristic
510C24×C73C2411yescharacteristic
511C2×D4×C73—22no—
512C2×D4×C73—22no—
513C2×D4×C73—41no—
514C2×D4×C73—41no—
515C2×D4×C73—41no—
516C2×D4×C73—41no—
517C2×D4×C73—41no—
518C2×D4×C73—41no—
519C2×D4×C73—41no—
520C22×C4×C73—41no—
521C22×C4×C73—41no—
522C22×C4×C73—41no—
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—41no—
537C4⋊C4×C73—41no—
538C4⋊C4×C73—41no—
539C22⋊C4×C73—22no—
540C22⋊C4×C73—22no—
541C22⋊C4×C73—22no—
542C22⋊C4×C73—41no—
543C22⋊C4×C73—41no—
544C22⋊C4×C73—41no—
545C22⋊C4×C73—41no—
546C22⋊C4×C73—41no—
547C22⋊C4×C73—41no—
548C22⋊C4×C73—41no—
549C22⋊C4×C73—41no—
550C22⋊C4×C73—41no—
551C22⋊C4×C73—41no—
552C22⋊C4×C73—41no—
553C22⋊C4×C73—41no—
554C22⋊C4×C73—41no—
555C22⋊C4×C73—41no—
556C22⋊C4×C73—41no—
557C42×C73—41no—
558C23×C73—21no—
559C23×C73—21no—
560C23×C73—21no—
561C23×C73—21no—
562C23×C73—21no—
563C23×C73—21no—
564C23×C73—21no—
565C23×C73—21no—
566C23×C73—21no—
567C23×C73—21no—
568C23×C73—21no—
569C23×C73—21no—
570C23×C73—21no—
571C23×C73—21no—
572C23×C73—21no—
573C23×C73—21no—
574C23×C73—21no—
575C23×C73—21no—
576C23×C73—21no—
577C23×C73—21no—
578C23×C73—21no—
579C23×C73—21no—
580C23×C73—21no—
581C23×C73—21no—
582C23×C73—21no—
583C23×C73—21no—
584C23×C73—21no—
585C23×C73—44no—
586C23×C73—82no—
587C23×C73—82no—
588C23×C73—82no—
589C23×C73—82no—
590C23×C73—82no—
591C23×C73—82no—
592C23×C73C2×#4112yes—
593C23×C73C2511yescharacteristic
594C22×D73—21no—
595C22×D73—21no—
596C22×D73—21no—
597C22×D73—21no—
598C22×D73—21no—
599C22×D73—21no—
600C22×D73—21no—
601C22×D73—21no—
602C22×D73—21no—
603C22×D73—21no—
604C22×D73—28no—
605C22×D73—44no—
606C22×D73—44no—
607C22×D73—82no—
608C22×D73—82no—
609C22×D73—82no—
610C22×D73—82no—
611C22×D73C2×#4112yes—
612C22×D73C2×#4112yes—
613C22×D73H(5,𝔽2)12yes—
614C22×D73H(5,𝔽2)12yes—
615D4×C73—82no—
616D4×C73—82no—
617D4×C73—82no—
618C2×C4×C73—21no—
619C2×C4×C73—21no—
620C2×C4×C73—21no—
621C2×C4×C73—21no—
622C2×C4×C73—21no—
623C2×C4×C73—21no—
624C2×C4×C73—21no—
625C2×C4×C73—21no—
626C2×C4×C73—21no—
627C2×C4×C73—21no—
628C2×C4×C73—21no—
629C2×C4×C73—21no—
630C2×C4×C73—21no—
631C2×C4×C73—21no—
632C2×C4×C73—21no—
633C2×C4×C73—21no—
634C2×C4×C73—21no—
635C2×C4×C73—21no—
636C2×C4×C73—21no—
637C2×C4×C73—21no—
638C2×C4×C73—21no—
639C2×C4×C73—21no—
640C2×C4×C73—21no—
641C2×C4×C73—21no—
642C2×C4×C73—21no—
643C2×C4×C73—21no—
644C2×C4×C73—21no—
645C2×C4×C73—21no—
646C2×C4×C73—21no—
647C2×C4×C73—21no—
648C2×C4×C73—21no—
649C2×C4×C73—21no—
650C2×C4×C73—82no—
651C2×C4×C73H(5,𝔽2)12yes—
652C22⋊D73—44no—
653C22⋊D73—44no—
654C22⋊D73—44no—
655C22⋊D73—44no—
656C22⋊D73—44no—
657C22⋊D73—82no—
658C2×Dic73—21no—
659C2×Dic73—21no—
660C2×Dic73—21no—
661C2×Dic73—21no—
662C2×Dic73—21no—
663C2×Dic73—21no—
664C2×Dic73—21no—
665C2×Dic73—21no—
666C2×Dic73—21no—
667C2×Dic73—21no—
668C2×Dic73—21no—
669C2×Dic73—21no—
670C2×Dic73—21no—
671C2×Dic73—21no—
672C2×Dic73—21no—
673C2×Dic73—21no—
674C2×Dic73—21no—
675C2×Dic73—21no—
676C2×Dic73—21no—
677C2×Dic73—21no—
678C2×Dic73—21no—
679C2×Dic73—21no—
680C2×Dic73—21no—
681C2×Dic73—21no—
682C2×Dic73—21no—
683C2×Dic73—21no—
684C2×Dic73—21no—
685C2×Dic73—21no—
686C2×Dic73—21no—
687C2×Dic73—21no—
688C2×Dic73—21no—
689C2×Dic73—21no—
690C2×Dic73—21no—
691C2×Dic73—21no—
692C2×Dic73—21no—
693C2×Dic73—21no—
694C2×Dic73—21no—
695C2×Dic73—21no—
696C2×Dic73—21no—
697C2×Dic73—21no—
698C2×Dic73—21no—
699C2×Dic73—21no—
700C2×Dic73—44no—
701C4×D73—44no—
702C4×D73—44no—
703C4×D73—44no—
704C4×D73—44no—
705C4×D73—82no—
706C4×D73—82no—
707C4×D73—82no—
708C4×D73—82no—
709Dic146—82no—
710C22×C73—22no—
711C22×C73—22no—
712C22×C73—22no—
713C22×C73—41no—
714C22×C73—41no—
715C22×C73—41no—
716C22×C73—41no—
717C22×C73—41no—
718C22×C73—41no—
719C22×C73—41no—
720C22×C73—41no—
721C22×C73—41no—
722C22×C73—41no—
723C22×C73—41no—
724C22×C73—41no—
725C22×C73—41no—
726C22×C73—41no—
727C22×C73—41no—
728C22×C73—41no—
729C22×C73—41no—
730C22×C73—41no—
731C22×C73—41no—
732C22×C73—41no—
733C22×C73—41no—
734C22×C73—41no—
735C22×C73—41no—
736C22×C73—41no—
737C22×C73—41no—
738C22×C73—88no—
739C22×C73C22×#4111yescharacteristic
740C22×C73C2×H(5,𝔽2)11yescharacteristic
741C22×C73C2×H(5,𝔽2)11yescharacteristic
742C22×C73C2×H(5,𝔽2)11yescharacteristic
743C22×C73#58511yescharacteristic
744C22×C73#58511yescharacteristic
745C22×C73#58511yescharacteristic
746C2×D73—22no—
747C2×D73—22no—
748C2×D73—22no—
749C2×D73—22no—
750C2×D73—22no—
751C2×D73—22no—
752C2×D73—22no—
753C2×D73—22no—
754C2×D73—22no—
755C2×D73—41no—
756C2×D73—41no—
757C2×D73—41no—
758C2×D73—41no—
759C2×D73—88no—
760C2×D73#53814yes—
761C4×C73—22no—
762C4×C73—41no—
763C4×C73—41no—
764C4×C73—41no—
765C4×C73—41no—
766C4×C73—41no—
767C4×C73—41no—
768C4×C73—41no—
769C4×C73—41no—
770C4×C73—41no—
771C4×C73—41no—
772Dic73—41no—
773Dic73—41no—
774Dic73—41no—
775Dic73—41no—
776Dic73—41no—
777Dic73—41no—
778Dic73—41no—
779Dic73—41no—
780Dic73—41no—
781Dic73—41no—
782Dic73—41no—
783Dic73—41no—
784Dic73—41no—
785Dic73—41no—
786#36986—731nomaximal, Sylow
787C2×C73—42no—
788C2×C73—81no—
789C2×C73—81no—
790C2×C73—81no—
791C2×C73C2×#53811yescharacteristic
792C2×C73#349111yescharacteristic
793C2×C73#350511yescharacteristic
794C2×C73#353311yescharacteristic
795C2×C73#353411yescharacteristic
796C2×C73#355811yescharacteristic
797C2×C73#356011yescharacteristic
798D73—24no—
799D73—42no—
800#2854—731no—
801#2853—731no—
802#2797—731no—
803#2779—731no—
804#2779—731no—
805#2778—731no—
806#2771—731no—
807#2765—731no—
808#2753—731no—
809#2751—731no—
810#2750—731no—
811#2741—731no—
812#2736—731no—
813#2735—731no—
814#2702—731no—
815#2697D7311yescharacteristic, complemented
816#2696—731no—
817#2685—731no—
818#2643—731no—
819#2639—731no—
820#2488—731no—
821#2481—731no—
822#2443—731no—
823#2437—731no—
824#2425—731no—
825#2412—731no—
826#2410—731no—
827#2405—731no—
828#2321—731no—
829#2308—731no—
830C2×#388—731no—
831C73#3698611yescharacteristic, complemented, Sylow
832C23×D4—731no—
833C2×#126—731no—
834C2×#123—731no—
835C2×#123—731no—
836C2×#123—731no—
837C2×#123C2×D7311yescharacteristic, complemented
838C2×C22⋊Q8—731no—
839C2×C22⋊Q8—731no—
840C2×#121—731no—
841C2×#121—731no—
842C2×#120—731no—
843C2×#120C2×D7311yescharacteristic
844C2×C4×D4—731no—
845C22×C4⋊C4—731no—
846C22×C22⋊C4—731no—
847C22×C22⋊C4—731no—
848C22×C22⋊C4—731no—
849C22×C22⋊C4—731no—
850C22×C42—731no—
851#401—731no—
852#400—731no—
853#400—731no—
854#400—731no—
855#400—731no—
856#400—731no—
857#400—731no—
858#400—731no—
859#400—731no—
860#400—731no—
861#399—731no—
862#399—731no—
863#398—731no—
864#398—731no—
865#397—731no—
866#397—731no—
867#397—731no—
868#397—731no—
869#397—731no—
870#397—731no—
871#397—731no—
872#397—731no—
873#397—731no—
874#397C2×D7311yescharacteristic, complemented
875#397C2×D7311yescharacteristic, complemented
876#396—731no—
877#396—731no—
878#396—731no—
879#396C2×D7311yescharacteristic
880#396C2×D7311yescharacteristic, complemented
881#394—731no—
882#394—731no—
883#394—731no—
884#394—731no—
885#394—731no—
886#394—731no—
887#394—731no—
888#394—731no—
889#394—731no—
890#394—731no—
891#394C2×D7311yescharacteristic
892#394C2×D7311yescharacteristic, complemented
893#393—731no—
894#393—731no—
895#393—731no—
896#393—731no—
897#392—731no—
898#392—731no—
899#391—731no—
900#390—731no—
901#390—731no—
902#390—731no—
903#390C2×D7311yescharacteristic, complemented
904#389—731no—
905#389—731no—
906#389—731no—
907#388—731no—
908#388—731no—
909#388—731no—
910#388—731no—
911#388—731no—
912#388—731no—
913#388—731no—
914#388—731no—
915#388—731no—
916#388—731no—
917#388—731no—
918#388—731no—
919#388—731no—
920#388—731no—
921#388—731no—
922#388—731no—
923#388—731no—
924#388—731no—
925#388—731no—
926#388—731no—
927#388—731no—
928#388—731no—
929#388—731no—
930#388C2×D7311yescharacteristic
931#388C2×D7311yescharacteristic, complemented
932#387—731no—
933#387—731no—
934#387—731no—
935#387—731no—
936#387—731no—
937#387—731no—
938#387—731no—
939#386—731no—
940#386—731no—
941#386—731no—
942#386—731no—
943#386—731no—
944#386—731no—
945#386—731no—
946#386—731no—
947#386—731no—
948#386—731no—
949#386—731no—
950#386—731no—
951#386—731no—
952#386—731no—
953#386—731no—
954#386—731no—
955#386—731no—
956#386—731no—
957#386C2×D7311yescharacteristic
958#386C2×D7311yescharacteristic, complemented
959#385—731no—
960#385—731no—
961#385—731no—
962#385—731no—
963#385—731no—
964#385—731no—
965#385—731no—
966#385—731no—
967#385—731no—
968#385—731no—
969#382—731no—
970#381—731no—
971#381—731no—
972#381—731no—
973#380—731no—
974#380—731no—
975#380—731no—
976#380—731no—
977#380—731no—
978#379—731no—
979#379—731no—
980#379—731no—
981#379—731no—
982#379C2×D7311yescharacteristic
983#379C2×D7311yescharacteristic
984C4×C22⋊C4—731no—
985C2×#95—731no—
986C2×#95—731no—
987C25—731no—
988C25C22×D7311yescharacteristic
989C22×Q8—731no—
990C22×D4—2922no—
991C22×D4—2922no—
992C22×D4—731no—
993C22×D4—731no—
994C22×D4—731no—
995C22×D4—731no—
996C22×D4—731no—
997C22×D4—731no—
998C22×D4—1464no—
999C22×D4C22×D7311yescharacteristic
1000C22×D4C22×D7311yescharacteristic
1001C22×D4C22×D7311yescharacteristic
1002C23×C4—731no—
1003C23×C4—731no—
1004C23×C4—731no—
1005C23×C4—731no—
1006C23×C4—731no—
1007C23×C4—731no—
1008C23×C4—731no—
1009C23×C4—731no—
1010C23×C4—731no—
1011C23×C4C22×D7311yescharacteristic
1012#126—2922no—
1013#123—42no—
1014#123—2922no—
1015#123—2922no—
1016#123—2922no—
1017C22⋊Q8—2922no—
1018C22⋊Q8—2922no—
1019#121—2922no—
1020#121—2922no—
1021#120—42no—
1022#120—1464no—
1023C4×D4—2922no—
1024C2×C4⋊C4—2922no—
1025C2×C4⋊C4—731no—
1026C2×C4⋊C4—731no—
1027C2×C4⋊C4—731no—
1028C2×C4⋊C4—731no—
1029C2×C4⋊C4—731no—
1030C2×C4⋊C4—731no—
1031C2×C4⋊C4—731no—
1032C2×C4⋊C4—731no—
1033C2×C4⋊C4—731no—
1034C2×C4⋊C4—731no—
1035C2×C4⋊C4—731no—
1036C2×C4⋊C4—731no—
1037C2×C4⋊C4—731no—
1038C2×C4⋊C4—731no—
1039C2×C4⋊C4—731no—
1040C2×C4⋊C4—731no—
1041C2×C4⋊C4—731no—
1042C2×C4⋊C4—731no—
1043C2×C4⋊C4—731no—
1044C2×C4⋊C4—731no—
1045C2×C4⋊C4—731no—
1046C2×C4⋊C4C22×D7311yescharacteristic
1047C2×C4⋊C4C22×D7311yescharacteristic
1048C2×C4⋊C4C22×D7311yescharacteristic
1049C2×C4⋊C4C22×D7311yescharacteristic
1050C2×C4⋊C4C22×D7311yescharacteristic
1051C2×C22⋊C4—2922no—
1052C2×C22⋊C4—2922no—
1053C2×C22⋊C4—2922no—
1054C2×C22⋊C4—731no—
1055C2×C22⋊C4—731no—
1056C2×C22⋊C4—731no—
1057C2×C22⋊C4—731no—
1058C2×C22⋊C4—731no—
1059C2×C22⋊C4—731no—
1060C2×C22⋊C4—731no—
1061C2×C22⋊C4—731no—
1062C2×C22⋊C4—731no—
1063C2×C22⋊C4—731no—
1064C2×C22⋊C4—731no—
1065C2×C22⋊C4—731no—
1066C2×C22⋊C4—731no—
1067C2×C22⋊C4—731no—
1068C2×C22⋊C4—731no—
1069C2×C22⋊C4—731no—
1070C2×C22⋊C4—731no—
1071C2×C22⋊C4—731no—
1072C2×C22⋊C4—731no—
1073C2×C22⋊C4—731no—
1074C2×C22⋊C4—731no—
1075C2×C22⋊C4—731no—
1076C2×C22⋊C4—731no—
1077C2×C22⋊C4—731no—
1078C2×C22⋊C4—731no—
1079C2×C22⋊C4—731no—
1080C2×C22⋊C4—731no—
1081C2×C22⋊C4—731no—
1082C2×C22⋊C4—731no—
1083C2×C22⋊C4—731no—
1084C2×C22⋊C4—731no—
1085C2×C22⋊C4—731no—
1086C2×C22⋊C4—731no—
1087C2×C22⋊C4—731no—
1088C2×C22⋊C4—731no—
1089C2×C22⋊C4—731no—
1090C2×C22⋊C4—731no—
1091C2×C22⋊C4—731no—
1092C2×C22⋊C4—1464no—
1093C2×C22⋊C4C22×D7311yescharacteristic
1094C2×C22⋊C4C22×D7311yescharacteristic
1095C2×C22⋊C4C22×D7311yescharacteristic
1096C2×C22⋊C4C22×D7311yescharacteristic
1097C2×C22⋊C4C22×D7311yescharacteristic
1098C2×C22⋊C4C22×D7311yescharacteristic
1099C2×C22⋊C4C22×D7311yescharacteristic
1100C2×C22⋊C4C22×D7311yescharacteristic
1101C2×C22⋊C4C22×D7311yescharacteristic
1102C2×C22⋊C4C22×D7311yescharacteristic
1103C2×C22⋊C4C22×D7311yescharacteristic
1104C2×C22⋊C4C22×D7311yescharacteristic
1105C2×C22⋊C4C22×D7311yescharacteristic
1106C2×C22⋊C4C22×D7311yescharacteristic
1107C2×C22⋊C4C22×D7311yescharacteristic
1108C2×C22⋊C4C22×D7311yescharacteristic
1109C2×C22⋊C4C22×D7311yescharacteristic
1110C2×C22⋊C4C22×D7311yescharacteristic
1111C2×C42—2922no—
1112C2×C42—731no—
1113C2×C42—731no—
1114C2×C42—731no—
1115C2×C42—731no—
1116C2×C42—731no—
1117C2×C42—731no—
1118C2×C42C22×D7311yescharacteristic
1119#95—731no—
1120#95—731no—
1121#95—731no—
1122#95—731no—
1123#95—731no—
1124#95—731no—
1125#95—731no—
1126#95—731no—
1127#95—731no—
1128#95—731no—
1129#95—731no—
1130#95—731no—
1131#95—731no—
1132#95—731no—
1133#95—731no—
1134#95—731no—
1135#95—731no—
1136#95—731no—
1137#95—731no—
1138#95—731no—
1139#95—731no—
1140#95—731no—
1141#95—731no—
1142#95—731no—
1143#95—731no—
1144#95—731no—
1145#95—731no—
1146#95—731no—
1147#95—731no—
1148#95—731no—
1149#95—731no—
1150#95—731no—
1151#95—731no—
1152#95—731no—
1153#95—731no—
1154#95—731no—
1155#95—731no—
1156#95—731no—
1157#95C22×D7311yescharacteristic
1158#95C22×D7311yescharacteristic
1159#95C22×D7311yescharacteristic
1160#95C22×D7311yescharacteristic
1161#95C22×D7311yescharacteristic
1162#95C22×D7311yescharacteristic
1163C24—22no—
1164C24—41no—
1165C24—41no—
1166C24—41no—
1167C24—41no—
1168C24—41no—
1169C24—41no—
1170C24—2921no—
1171C24—2921no—
1172C24—2921no—
1173C24—2921no—
1174C24—734no—
1175C24—731no—
1176C24—731no—
1177C24—1462no—
1178C24—1462no—
1179C24C23×D7311yescharacteristic
1180C24C23×D7311yescharacteristic
1181C24C23×D7311yescharacteristic
1182C24C23×D7311yescharacteristic
1183C2×Q8—2921no—
1184C2×Q8—2921no—
1185C2×Q8—2921no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—29216no—
1196C2×D4—2921no—
1197C2×D4—2921no—
1198C2×D4—2921no—
1199C2×D4—2921no—
1200C2×D4—2921no—
1201C2×D4—2921no—
1202C2×D4—1462no—
1203C2×D4—1462no—
1204C2×D4—1462no—
1205C2×D4—1462no—
1206C2×D4—1462no—
1207C2×D4—1462no—
1208C2×D4—1462no—
1209C2×D4—1462no—
1210C2×D4—1462no—
1211C2×D4—1462no—
1212C2×D4—1462no—
1213C2×D4—1462no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—2921no—
1218C22×C4—2921no—
1219C22×C4—2921no—
1220C22×C4—2921no—
1221C22×C4—2921no—
1222C22×C4—2921no—
1223C22×C4—2921no—
1224C22×C4—2921no—
1225C22×C4—2921no—
1226C22×C4—2921no—
1227C22×C4—2921no—
1228C22×C4—2921no—
1229C22×C4—2921no—
1230C22×C4—2921no—
1231C22×C4—2921no—
1232C22×C4—2921no—
1233C22×C4—2921no—
1234C22×C4—731no—
1235C22×C4—731no—
1236C22×C4—731no—
1237C22×C4—731no—
1238C22×C4—731no—
1239C22×C4—731no—
1240C22×C4—731no—
1241C22×C4—731no—
1242C22×C4—731no—
1243C22×C4—731no—
1244C22×C4—731no—
1245C22×C4—731no—
1246C22×C4—731no—
1247C22×C4—731no—
1248C22×C4—1462no—
1249C22×C4—1462no—
1250C22×C4—1462no—
1251C22×C4—1462no—
1252C22×C4—1462no—
1253C22×C4—1462no—
1254C22×C4—1462no—
1255C22×C4—1462no—
1256C22×C4—1462no—
1257C22×C4—1462no—
1258C22×C4C23×D7311yescharacteristic
1259C22×C4C23×D7311yescharacteristic
1260C22×C4C23×D7311yescharacteristic
1261C22×C4C23×D7311yescharacteristic
1262C22×C4C23×D7311yescharacteristic
1263C22×C4C23×D7311yescharacteristic
1264C22×C4C23×D7311yescharacteristic
1265C22×C4C23×D7311yescharacteristic
1266C22×C4C23×D7311yescharacteristic
1267C22×C4C23×D7311yescharacteristic
1268C22×C4C23×D7311yescharacteristic
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—2921no—
1275C4⋊C4—2921no—
1276C4⋊C4—2921no—
1277C4⋊C4—2921no—
1278C4⋊C4—2921no—
1279C4⋊C4—2921no—
1280C4⋊C4—2921no—
1281C4⋊C4—2921no—
1282C4⋊C4—2921no—
1283C4⋊C4—2921no—
1284C4⋊C4—2921no—
1285C4⋊C4—2921no—
1286C4⋊C4—2921no—
1287C4⋊C4—2921no—
1288C4⋊C4—2921no—
1289C4⋊C4—2921no—
1290C4⋊C4—2921no—
1291C4⋊C4—2921no—
1292C4⋊C4—2921no—
1293C4⋊C4—1462no—
1294C4⋊C4—1462no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—2921no—
1314C22⋊C4—2921no—
1315C22⋊C4—2921no—
1316C22⋊C4—2921no—
1317C22⋊C4—2921no—
1318C22⋊C4—2921no—
1319C22⋊C4—2921no—
1320C22⋊C4—2921no—
1321C22⋊C4—2921no—
1322C22⋊C4—2921no—
1323C22⋊C4—2921no—
1324C22⋊C4—2921no—
1325C22⋊C4—2921no—
1326C22⋊C4—2921no—
1327C22⋊C4—2921no—
1328C22⋊C4—2921no—
1329C22⋊C4—2921no—
1330C22⋊C4—2921no—
1331C22⋊C4—2921no—
1332C22⋊C4—2921no—
1333C22⋊C4—2921no—
1334C22⋊C4—2921no—
1335C22⋊C4—2921no—
1336C22⋊C4—2921no—
1337C22⋊C4—2921no—
1338C22⋊C4—2921no—
1339C22⋊C4—2921no—
1340C22⋊C4—1462no—
1341C22⋊C4—1462no—
1342C22⋊C4—1462no—
1343C22⋊C4—1462no—
1344C22⋊C4—1462no—
1345C22⋊C4—1462no—
1346C22⋊C4—1462no—
1347C22⋊C4—1462no—
1348C22⋊C4—1462no—
1349C22⋊C4—1462no—
1350C22⋊C4—1462no—
1351C42—41no—
1352C42—2921no—
1353C42—2921no—
1354C42—2921no—
1355C42—2921no—
1356C42—2921no—
1357C42—2921no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—44no—
1386C23—82no—
1387C23—82no—
1388C23—82no—
1389C23—82no—
1390C23—82no—
1391C23—82no—
1392C23—2924no—
1393C23—2924no—
1394C23—5842no—
1395C23—5842no—
1396C23—5842no—
1397C23—5842no—
1398C23—732no—
1399C23—732no—
1400C23—732no—
1401C23—732no—
1402C23—1468no—
1403C23—1461no—
1404C23—1461no—
1405C23—1461no—
1406C23—1461no—
1407C23—1461no—
1408C23—1461no—
1409C23—1461no—
1410C23—1461no—
1411C23—1461no—
1412C23—1461no—
1413C23#41×D7312yes—
1414C23C24×D7311yescharacteristic
1415Q8—5842no—
1416D4—82no—
1417D4—82no—
1418D4—82no—
1419D4—2924no—
1420D4—2924no—
1421D4—2924no—
1422D4—2924no—
1423D4—2924no—
1424D4—5842no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—82no—
1458C2×C4—2924no—
1459C2×C4—2924no—
1460C2×C4—2924no—
1461C2×C4—2924no—
1462C2×C4—2924no—
1463C2×C4—5842no—
1464C2×C4—5842no—
1465C2×C4—5842no—
1466C2×C4—5842no—
1467C2×C4—1461no—
1468C2×C4—1461no—
1469C2×C4—1461no—
1470C2×C4—1461no—
1471C2×C4—1461no—
1472C2×C4—1461no—
1473C2×C4—1461no—
1474C2×C4—1461no—
1475C2×C4—1461no—
1476C2×C4—1461no—
1477C2×C4—1461no—
1478C2×C4—1461no—
1479C2×C4—1461no—
1480C2×C4—1461no—
1481C2×C4—1461no—
1482C2×C4—1461no—
1483C2×C4—1461no—
1484C2×C4—1461no—
1485C2×C4—1461no—
1486C2×C4—1461no—
1487C2×C4—1461no—
1488C2×C4—1461no—
1489C2×C4—1461no—
1490C2×C4—1461no—
1491C2×C4—1461no—
1492C2×C4—1461no—
1493C2×C4—1461no—
1494C2×C4—1461no—
1495C2×C4—1461no—
1496C2×C4—1461no—
1497C2×C4—1461no—
1498C2×C4—1461no—
1499C2×C4—1461no—
1500C2×C4—1461no—
1501C2×C4—1461no—
1502C2×C4—1461no—
1503C2×C4—1461no—
1504C2×C4—1461no—
1505C2×C4—1461no—
1506C2×C4—1461no—
1507C2×C4—1461no—
1508C2×C4—1461no—
1509C2×C4#1455663612yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—88no—
1539C22—2921no—
1540C22—2921no—
1541C22—2921no—
1542C22—2921no—
1543C22—5848no—
1544C22—734no—
1545C22—1462no—
1546C22—1462no—
1547C22—1462no—
1548C22—1462no—
1549C22—1462no—
1550C22—1462no—
1551C22—1462no—
1552C22—1462no—
1553C22—1462no—
1554C22C2×#41×D7311yescharacteristic
1555C22H(5,𝔽2)×D7311yescharacteristic
1556C22H(5,𝔽2)×D7311yescharacteristic
1557C22C2×#1455663611yescharacteristic
1558C22#1798942211yescharacteristic
1559C22#1798942211yescharacteristic
1560C22#1798942311yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—2921no—
1573C4—2921no—
1574C4—2921no—
1575C4—2921no—
1576C4—2921no—
1577C4—2921no—
1578C4—2921no—
1579C4—2921no—
1580C4—2921no—
1581C4—2921no—
1582C4—2921no—
1583C4—2921no—
1584C4—2921no—
1585C4—2921no—
1586C2—42no—
1587C2—81no—
1588C2—81no—
1589C2—81no—
1590C2—2922no—
1591C2—1464no—
1592C2#538×D7311yescharacteristic
1593C2#2262362211yescharacteristic
1594C2#2262375811yescharacteristic
1595C2#2262409811yescharacteristic
1596C2#2262411811yescharacteristic
1597C2#2262444011yescharacteristic
1598C2#2262448111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2697C2
prime radical#22613301C2
hypercenter#2697D73
hypocenterC73#36986
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2697

Complements

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

NH ≅ G/Ntype
1. #22618261C2semidirect
2. #22618251C2semidirect
3. #22617785C2semidirect
4. #22617566C2semidirect
5. #22617563C2semidirect
6. #22617552C2semidirect
7. #22617444C2semidirect
8. #22617372C2semidirect
9. #22617213C2semidirect
10. #22617186C2semidirect
11. #22617163C2semidirect
12. #22617048C2semidirect
13. #22616977C2semidirect
14. #22616972C2semidirect
15. #22616554C2semidirect
16. #22616477C2semidirect
17. #22616318C2semidirect
18. #22615883C2semidirect
19. #22615862C2semidirect
20. #22614260C2semidirect
21. #22614193C2semidirect
22. #22613663C2semidirect
23. #22613593C2semidirect
24. #22613481C2semidirect
25. #22613322C2semidirect
27. #22613256C2semidirect
28. #22612587C2semidirect
29. #22612507C2semidirect
30. #388×D73C2semidirect
31. C73×#2697C2semidirect
33. C2×#14556584C22semidirect
36. C2×#14556573C22semidirect
37. C2×#14556571C22semidirect
38. C2×#14556569C22semidirect
42. C2×C4×C22⋊D73C22semidirect
43. C2×C4⋊C4×D73C22semidirect
48. C2×C42×D73C22semidirect
49. C73⋊#401C22semidirect
50. #17988529C22semidirect
51. #17988528C22semidirect
52. #17988528C22semidirect
53. #17988528C22semidirect
54. #17988527C22semidirect
55. #17988527C22semidirect
56. #17988526C22semidirect
57. #17988526C22semidirect
58. #17988526C22semidirect
60. #17988523C22semidirect
61. #17988520C22semidirect
62. #17988519C22semidirect
64. #17988515C22semidirect
65. #17988515C22semidirect
66. #17988515C22semidirect
67. #17988515C22semidirect
68. #17988515C22semidirect
70. #17988512C22semidirect
71. #17988512C22semidirect
73. #17988510C22semidirect
74. #17988510C22semidirect
82. #17988501C22semidirect
83. #17988501C22semidirect
84. #17988501C22semidirect
86. #17988499C22semidirect
87. #17988499C22semidirect
88. #17988499C22semidirect
91. #17988491C22semidirect
93. #17988490C22semidirect
94. #17988487C22semidirect
95. #17988486C22semidirect
96. #17988485C22semidirect
97. #17988484C22semidirect
99. #17988481C22semidirect
100. #17988481C22semidirect
101. #17988481C22semidirect
102. #17988481C22semidirect
103. #17988481C22semidirect
105. #17988480C22semidirect
106. #17988480C22semidirect
107. #17988480C22semidirect
108. #17988480C22semidirect
109. #17988480C22semidirect
110. #17988479C22semidirect
111. #17988479C22semidirect
112. #17988478C22semidirect
113. #17988477C22semidirect
114. #17988476C22semidirect
115. #17988476C22semidirect
119. #17988475C22semidirect
120. #17988475C22semidirect
121. #17988474C22semidirect
122. #17988473C22semidirect
123. #17988473C22semidirect
124. #17988473C22semidirect
125. #17988472C22semidirect
126. #17988471C22semidirect
127. #17988468C22semidirect
129. #17988466C22semidirect
142. #17988463C22semidirect
143. #17988463C22semidirect
144. #17988463C22semidirect
145. #17988463C22semidirect
148. #17988461C22semidirect
149. #17988461C22semidirect
150. #17988460C22semidirect
152. #17988458C22semidirect
153. #17988458C22semidirect
154. #17988458C22semidirect
155. #17988458C22semidirect
156. #17988452C22semidirect
157. #17988449C22semidirect
160. #17988447C22semidirect
161. #17988446C22semidirect
162. #17988446C22semidirect
163. #17988444C22semidirect
164. #17988444C22semidirect
169. #17988434C22semidirect
170. #95×D73C22semidirect
171. #95×D73C22semidirect
172. C2×#123×C73C22semidirect
174. #397×C73C22semidirect
175. #397×C73C22semidirect
177. #396×C73C22semidirect
179. #394×C73C22semidirect
180. #390×C73C22semidirect
182. #388×C73C22semidirect
184. #386×C73C22semidirect
815. #2697D73semidirect
831. C73#36986semidirect
837. C2×#123C2×D73semidirect
874. #397C2×D73semidirect
875. #397C2×D73semidirect
880. #396C2×D73semidirect
892. #394C2×D73semidirect
903. #390C2×D73semidirect
931. #388C2×D73semidirect
958. #386C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226182612
#226182512
#226177852
#226175662
#226175632
#226175522
#226174442
#226173722
#226172132
#226171862
#226171632
#226170482
#226169772
#226169722
#226165542
#226164772
#226163182
#226158832
#226158622
#226142602
#226141932
#226136632
#226135932
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