Finite Group Databasebeta

← #2837×D73 #33292208

Subgroups — #2837×D73 #33292208

Order 18688.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22618152C211yesmaximal, characteristic, complemented
2#22618151C211yesmaximal, characteristic, complemented
3#22618150C211yesmaximal, characteristic, complemented
4#22618149C211yesmaximal, characteristic, complemented
5#22618148C211yesmaximal, characteristic, complemented
6#22618147C211yesmaximal, characteristic, complemented
7#22618146C211yesmaximal, characteristic, complemented
8#22618145C211yesmaximal, characteristic, complemented
9#22618144C211yesmaximal, characteristic, complemented
10#22618143C211yesmaximal, characteristic, complemented
11#22618142C211yesmaximal, characteristic, complemented
12#22618141C211yesmaximal, characteristic, complemented
13#22618140C211yesmaximal, characteristic, complemented
14#22618139C211yesmaximal, characteristic, complemented
15#22618138C211yesmaximal, characteristic, complemented
16#400×D73C211yesmaximal, characteristic, complemented
17#399×D73C211yesmaximal, characteristic, complemented
18#399×D73C211yesmaximal, characteristic, complemented
19#398×D73C211yesmaximal, characteristic, complemented
20#398×D73C211yesmaximal, characteristic, complemented
21#397×D73C211yesmaximal, characteristic, complemented
22#397×D73C211yesmaximal, characteristic, complemented
23#396×D73C211yesmaximal, characteristic, complemented
24#396×D73C211yesmaximal, characteristic, complemented
25#394×D73C211yesmaximal, characteristic
26#394×D73C211yesmaximal, characteristic
27#394×D73C211yesmaximal, characteristic
28#389×D73C211yesmaximal, characteristic, complemented
29#388×D73C211yesmaximal, characteristic, complemented
30#388×D73C211yesmaximal, characteristic, complemented
31C73×#2837C211yesmaximal, characteristic, complemented
32C22×D4×D73C2211yescharacteristic
33C2×C4⋊C4×D73C2211yescharacteristic
34C2×C4⋊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×C22⋊C4×D73C2211yescharacteristic
45C2×C22⋊C4×D73C2211yescharacteristic
46C2×C22⋊C4×D73C2211yescharacteristic
47C2×C22⋊C4×D73C2211yescharacteristic
48C2×C22⋊C4×D73C2211yescharacteristic
49C2×C22⋊C4×D73C2211yescharacteristic
50C2×C22⋊C4×D73C2211yescharacteristic
51C2×C22⋊C4×D73C2211yescharacteristic
52C2×C22⋊C4×D73C2211yescharacteristic
53C2×C22⋊C4×D73C2211yescharacteristic
54C2×C22⋊C4×D73C2211yescharacteristic
55C2×C22⋊C4×D73C2211yescharacteristic
56C2×C42×D73C2211yescharacteristic
57#17988529C2211yescharacteristic, complemented
58#17988529C2211yescharacteristic, complemented
59#17988528C2211yescharacteristic, complemented
60#17988528C2211yescharacteristic, complemented
61#17988527C2211yescharacteristic, complemented
62#17988526C2211yescharacteristic, complemented
63#17988525C2211yescharacteristic, complemented
64#17988524C2211yescharacteristic, complemented
65#17988524C2211yescharacteristic, complemented
66#17988523C2211yescharacteristic, complemented
67#17988523C2211yescharacteristic, complemented
68#17988523C2211yescharacteristic, complemented
69#17988523C2211yescharacteristic, complemented
70#17988523C2211yescharacteristic, complemented
71#17988523C2211yescharacteristic, complemented
72#17988522C2211yescharacteristic, complemented
73#17988522C2211yescharacteristic, complemented
74#17988522C2211yescharacteristic, complemented
75#17988522C2211yescharacteristic, complemented
76#17988522C2211yescharacteristic, complemented
77#17988522C2211yescharacteristic, complemented
78#17988521C2211yescharacteristic, complemented
79#17988521C2211yescharacteristic, complemented
80#17988521C2211yescharacteristic, complemented
81#17988521C2211yescharacteristic, complemented
82#17988520C2211yescharacteristic, complemented
83#17988520C2211yescharacteristic, complemented
84#17988520C2211yescharacteristic, complemented
85#17988520C2211yescharacteristic, complemented
86#17988519C2211yescharacteristic, complemented
87#17988519C2211yescharacteristic, complemented
88#17988518C2211yescharacteristic, complemented
89#17988518C2211yescharacteristic, complemented
90#17988517C2211yescharacteristic, complemented
91#17988517C2211yescharacteristic, complemented
92#17988516C2211yescharacteristic, complemented
93#17988516C2211yescharacteristic, complemented
94#17988516C2211yescharacteristic, complemented
95#17988516C2211yescharacteristic, complemented
96#17988515C2211yescharacteristic, complemented
97#17988515C2211yescharacteristic, complemented
98#17988515C2211yescharacteristic, complemented
99#17988515C2211yescharacteristic, complemented
100#17988514C2211yescharacteristic, complemented
101#17988514C2211yescharacteristic, complemented
102#17988513C2211yescharacteristic, complemented
103#17988513C2211yescharacteristic, complemented
104#17988512C2211yescharacteristic, complemented
105#17988512C2211yescharacteristic, complemented
106#17988511C2211yescharacteristic, complemented
107#17988511C2211yescharacteristic, complemented
108#17988510C2211yescharacteristic, complemented
109#17988510C2211yescharacteristic, complemented
110#17988510C2211yescharacteristic, complemented
111#17988510C2211yescharacteristic, complemented
112#17988510C2211yescharacteristic, complemented
113#17988510C2211yescharacteristic, complemented
114#17988509C2211yescharacteristic, complemented
115#17988509C2211yescharacteristic, complemented
116#17988509C2211yescharacteristic, complemented
117#17988509C2211yescharacteristic, complemented
118#17988509C2211yescharacteristic, complemented
119#17988509C2211yescharacteristic, complemented
120#17988505C2211yescharacteristic
121#17988505C2211yescharacteristic
122#17988505C2211yescharacteristic
123#17988504C2211yescharacteristic
124#17988504C2211yescharacteristic
125#17988504C2211yescharacteristic
126#17988503C2211yescharacteristic
127#17988503C2211yescharacteristic
128#17988503C2211yescharacteristic
129#17988503C2211yescharacteristic
130#17988503C2211yescharacteristic
131#17988503C2211yescharacteristic
132#17988502C2211yescharacteristic
133#17988502C2211yescharacteristic
134#17988502C2211yescharacteristic
135#17988502C2211yescharacteristic
136#17988502C2211yescharacteristic
137#17988502C2211yescharacteristic
138#17988501C2211yescharacteristic
139#17988501C2211yescharacteristic
140#17988501C2211yescharacteristic
141#17988486C2211yescharacteristic, complemented
142#17988485C2211yescharacteristic, complemented
143#17988484C2211yescharacteristic, complemented
144#17988484C2211yescharacteristic, complemented
145#17988483C2211yescharacteristic, complemented
146#17988482C2211yescharacteristic, complemented
147#17988482C2211yescharacteristic, complemented
148#17988481C2211yescharacteristic, complemented
149#17988481C2211yescharacteristic, complemented
150#17988480C2211yescharacteristic, complemented
151#17988480C2211yescharacteristic, complemented
152#17988479C2211yescharacteristic, complemented
153#17988479C2211yescharacteristic, complemented
154#17988478C2211yescharacteristic, complemented
155#17988478C2211yescharacteristic, complemented
156#17988477C2211yescharacteristic, complemented
157#17988477C2211yescharacteristic, complemented
158#17988476C2211yescharacteristic, complemented
159#17988476C2211yescharacteristic, complemented
160#17988475C2211yescharacteristic, complemented
161#17988475C2211yescharacteristic, complemented
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#399×C73C2211yescharacteristic, complemented
174#399×C73C2211yescharacteristic, complemented
175#398×C73C2211yescharacteristic, complemented
176#398×C73C2211yescharacteristic, complemented
177#397×C73C2211yescharacteristic, complemented
178#397×C73C2211yescharacteristic, complemented
179#396×C73C2211yescharacteristic, complemented
180#396×C73C2211yescharacteristic, complemented
181#394×C73C2211yescharacteristic
182#394×C73C2211yescharacteristic
183#394×C73C2211yescharacteristic
184#389×C73C2211yescharacteristic, complemented
185#388×C73C2211yescharacteristic, complemented
186#388×C73C2211yescharacteristic, complemented
187C24×D73C2311yescharacteristic
188C24×D73C2311yescharacteristic
189C22×D292C2311yescharacteristic
190C22×C22⋊D73C2311yescharacteristic
191C22×C22⋊D73C2311yescharacteristic
192C2×D4×D73—42no—
193C2×D4×D73—42no—
194C2×D4×D73—42no—
195C22×C4×D73C2311yescharacteristic
196C22×C4×D73C2311yescharacteristic
197C22×C4×D73C2311yescharacteristic
198C22×C4×D73C2311yescharacteristic
199C22×C4×D73C2311yescharacteristic
200C22×C4×D73C2311yescharacteristic
201C22×C4×D73C2311yescharacteristic
202C22×C4×D73C2311yescharacteristic
203C22×C4×D73C2311yescharacteristic
204C22×C4×D73C2311yescharacteristic
205C22×C4×D73C2311yescharacteristic
206C22×C4×D73C2311yescharacteristic
207C22×C4×D73C2311yescharacteristic
208C2×C4⋊Dic73C2311yescharacteristic
209C2×C4⋊Dic73C2311yescharacteristic
210C2×C4⋊Dic73C2311yescharacteristic
211C2×C4⋊Dic73C2311yescharacteristic
212C2×C4⋊Dic73C2311yescharacteristic
213C2×C4⋊Dic73C2311yescharacteristic
214C2×C4⋊Dic73C2311yescharacteristic
215C2×C4⋊Dic73C2311yescharacteristic
216C2×C4⋊Dic73C2311yescharacteristic
217C2×C4⋊Dic73C2311yescharacteristic
218C2×C4⋊Dic73C2311yescharacteristic
219C2×#11924007C2311yescharacteristic
220C2×#11924007C2311yescharacteristic
221C2×#11924007C2311yescharacteristic
222C2×#11924007C2311yescharacteristic
223C2×#11924007C2311yescharacteristic
224C2×#11924007C2311yescharacteristic
225C2×#11924007C2311yescharacteristic
226C2×#11924007C2311yescharacteristic
227C2×#11924007C2311yescharacteristic
228C2×#11924007C2311yescharacteristic
229C2×#11924007C2311yescharacteristic
230C2×#11924007C2311yescharacteristic
231C2×#11924007C2311yescharacteristic
232C2×#11924007C2311yescharacteristic
233C2×#11924007C2311yescharacteristic
234C2×#11924007C2311yescharacteristic
235C2×#11924007C2311yescharacteristic
236C2×#11924007C2311yescharacteristic
237C2×#11924007C2311yescharacteristic
238C2×#11924007C2311yescharacteristic
239C2×#11924007C2311yescharacteristic
240C2×#11924007C2311yescharacteristic
241C4⋊C4×D73—24no—
242C4⋊C4×D73—42no—
243C4⋊C4×D73—42no—
244C4⋊C4×D73—42no—
245C4⋊C4×D73—42no—
246C4⋊C4×D73—42no—
247C4⋊C4×D73—42no—
248C4⋊C4×D73—42no—
249C4⋊C4×D73—42no—
250C4⋊C4×D73—42no—
251C4⋊C4×D73—42no—
252C2×C22⋊Dic73C2311yescharacteristic
253C2×C22⋊Dic73C2311yescharacteristic
254C2×C22⋊Dic73C2311yescharacteristic
255C2×C22⋊Dic73C2311yescharacteristic
256C2×C22⋊Dic73C2311yescharacteristic
257C2×C22⋊Dic73C2311yescharacteristic
258C2×C22⋊Dic73C2311yescharacteristic
259C2×C22⋊Dic73C2311yescharacteristic
260C2×C22⋊Dic73C2311yescharacteristic
261C2×C22⋊Dic73C2311yescharacteristic
262C2×C22⋊Dic73C2311yescharacteristic
263C2×C22⋊Dic73C2311yescharacteristic
264C2×#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
277C2×#11924005C2311yescharacteristic
278C2×#11924005C2311yescharacteristic
279C2×#11924005C2311yescharacteristic
280C2×#11924005C2311yescharacteristic
281C2×#11924005C2311yescharacteristic
282C2×#11924005C2311yescharacteristic
283C2×#11924005C2311yescharacteristic
284C2×#11924005C2311yescharacteristic
285C2×#11924005C2311yescharacteristic
286C2×#11924005C2311yescharacteristic
287C2×#11924005C2311yescharacteristic
288C22⋊C4×D73—24no—
289C22⋊C4×D73—24no—
290C22⋊C4×D73—42no—
291C22⋊C4×D73—42no—
292C22⋊C4×D73—42no—
293C22⋊C4×D73—42no—
294C22⋊C4×D73—42no—
295C22⋊C4×D73—42no—
296C22⋊C4×D73—42no—
297C22⋊C4×D73—42no—
298C22⋊C4×D73—42no—
299C22⋊C4×D73—42no—
300C2×C4×Dic73C2311yescharacteristic
301C2×C4×Dic73C2311yescharacteristic
302C2×C4×Dic73C2311yescharacteristic
303C42×D73—42no—
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
332#14556498C2311yescharacteristic
333#14556498C2311yescharacteristic
334C22×D4×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×C4⋊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×C22⋊C4×C73C2311yescharacteristic
357C2×C22⋊C4×C73C2311yescharacteristic
358C2×C42×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
367#95×C73C2311yescharacteristic
368#95×C73C2311yescharacteristic
369C23×D73—22no—
370C23×D73—22no—
371C23×D73—22no—
372C23×D73—22no—
373C23×D73—22no—
374C23×D73—22no—
375C23×D73—22no—
376C23×D73—22no—
377C23×D73—22no—
378C23×D73—22no—
379C23×D73—22no—
380C23×D73—22no—
381C23×D73—22no—
382C23×D73—22no—
383C23×D73C2411yescharacteristic
384C23×D73C2411yescharacteristic
385C23×D73C2411yescharacteristic
386C2×D292—41no—
387C2×D292—41no—
388C2×D292—41no—
389C2×C22⋊D73—41no—
390C2×C22⋊D73—41no—
391C2×C22⋊D73—41no—
392C2×C22⋊D73—41no—
393C2×C22⋊D73—41no—
394C2×C22⋊D73—41no—
395D4×D73—416no—
396C22×Dic73C2411yescharacteristic
397C22×Dic73C2411yescharacteristic
398C22×Dic73C2411yescharacteristic
399C22×Dic73C2411yescharacteristic
400C22×Dic73C2411yescharacteristic
401C22×Dic73C2411yescharacteristic
402C22×Dic73C2411yescharacteristic
403C22×Dic73C2411yescharacteristic
404C22×Dic73C2411yescharacteristic
405C22×Dic73C2411yescharacteristic
406C22×Dic73C2411yescharacteristic
407C22×Dic73C2411yescharacteristic
408C22×Dic73C2411yescharacteristic
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#4114yes—
448C4⋊Dic73—22no—
449C4⋊Dic73—41no—
450C4⋊Dic73—41no—
451C4⋊Dic73—41no—
452C4⋊Dic73—41no—
453C4⋊Dic73—41no—
454C4⋊Dic73—41no—
455C4⋊Dic73—41no—
456C4⋊Dic73—41no—
457C4⋊Dic73—41no—
458C4⋊Dic73—41no—
459#11924007—22no—
460#11924007—22no—
461#11924007—41no—
462#11924007—41no—
463#11924007—41no—
464#11924007—41no—
465#11924007—41no—
466#11924007—41no—
467#11924007—41no—
468#11924007—41no—
469#11924007—41no—
470#11924007—41no—
471#11924007—41no—
472#11924007—41no—
473#11924007—41no—
474#11924007—41no—
475#11924007—41no—
476#11924007—41no—
477#11924007—41no—
478#11924007—41no—
479#11924007—41no—
480#11924007—41no—
481C22⋊Dic73—22no—
482C22⋊Dic73—22no—
483C22⋊Dic73—41no—
484C22⋊Dic73—41no—
485C22⋊Dic73—41no—
486C22⋊Dic73—41no—
487C22⋊Dic73—41no—
488C22⋊Dic73—41no—
489C22⋊Dic73—41no—
490C22⋊Dic73—41no—
491C22⋊Dic73—41no—
492C22⋊Dic73—41no—
493#11924005—22no—
494#11924005—22no—
495#11924005—22no—
496#11924005—22no—
497#11924005—41no—
498#11924005—41no—
499#11924005—41no—
500#11924005—41no—
501#11924005—41no—
502#11924005—41no—
503#11924005—41no—
504#11924005—41no—
505#11924005—41no—
506#11924005—41no—
507#11924005—41no—
508#11924005—41no—
509#11924005—41no—
510#11924005—41no—
511#11924005—41no—
512#11924005—41no—
513#11924005—41no—
514#11924005—41no—
515#11924005—41no—
516#11924005—41no—
517C4×Dic73—41no—
518C4×Dic73—41no—
519C4×Dic73—41no—
520C24×C73C2411yescharacteristic
521C24×C73C2411yescharacteristic
522C2×D4×C73—41no—
523C2×D4×C73—41no—
524C2×D4×C73—41no—
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
534C22×C4×C73C2411yescharacteristic
535C22×C4×C73C2411yescharacteristic
536C22×C4×C73C2411yescharacteristic
537C22×C4×C73C2411yescharacteristic
538C4⋊C4×C73—22no—
539C4⋊C4×C73—41no—
540C4⋊C4×C73—41no—
541C4⋊C4×C73—41no—
542C4⋊C4×C73—41no—
543C4⋊C4×C73—41no—
544C4⋊C4×C73—41no—
545C4⋊C4×C73—41no—
546C4⋊C4×C73—41no—
547C4⋊C4×C73—41no—
548C4⋊C4×C73—41no—
549C22⋊C4×C73—22no—
550C22⋊C4×C73—22no—
551C22⋊C4×C73—41no—
552C22⋊C4×C73—41no—
553C22⋊C4×C73—41no—
554C22⋊C4×C73—41no—
555C22⋊C4×C73—41no—
556C22⋊C4×C73—41no—
557C22⋊C4×C73—41no—
558C22⋊C4×C73—41no—
559C22⋊C4×C73—41no—
560C22⋊C4×C73—41no—
561C42×C73—41no—
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×C73C2511yescharacteristic
577C22×D73—21no—
578C22×D73—21no—
579C22×D73—21no—
580C22×D73—21no—
581C22×D73—21no—
582C22×D73—21no—
583C22×D73—21no—
584C22×D73—21no—
585C22×D73—21no—
586C22×D73—21no—
587C22×D73—21no—
588C22×D73—21no—
589C22×D73—21no—
590C22×D73—21no—
591C22×D73—44no—
592C22×D73—44no—
593C22×D73—44no—
594C22×D73—44no—
595C22×D73—44no—
596C22×D73—44no—
597C22×D73—44no—
598C22×D73—44no—
599C22×D73—44no—
600C22×D73—44no—
601C22×D73—44no—
602C22×D73—44no—
603C22×D73—44no—
604C22×D73—44no—
605C22×D73C2×#4112yes—
606C22×D73H(5,𝔽2)12yes—
607C22×D73H(5,𝔽2)12yes—
608C22×D73H(5,𝔽2)12yes—
609C22×D73H(5,𝔽2)12yes—
610C22×D732−1+412yes—
611C22×D732−1+412yes—
612D4×C73—44no—
613C2×C4×C73—21no—
614C2×C4×C73—21no—
615C2×C4×C73—21no—
616C2×C4×C73—21no—
617C2×C4×C73—21no—
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—21no—
651C2×C4×C73C2×#4112yes—
652C22⋊D73—44no—
653C22⋊D73—44no—
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—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×Dic73C2×#4112yes—
693D292—44no—
694C4×D73—28no—
695C4×D73—44no—
696C4×D73—44no—
697C4×D73—44no—
698C4×D73—44no—
699C4×D73—44no—
700C4×D73—44no—
701C4×D73—44no—
702C4×D73—44no—
703C4×D73—44no—
704C4×D73—44no—
705C4×D73—44no—
706C4×D73—44no—
707C22×C73—41no—
708C22×C73—41no—
709C22×C73—41no—
710C22×C73—41no—
711C22×C73—41no—
712C22×C73—41no—
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×C73C22×#4111yescharacteristic
722C22×C73C2×H(5,𝔽2)11yescharacteristic
723C22×C73C2×H(5,𝔽2)11yescharacteristic
724C22×C73C2×H(5,𝔽2)11yescharacteristic
725C22×C73C2×H(5,𝔽2)11yescharacteristic
726C22×C73C2×2−1+411yescharacteristic
727C22×C73C2×2−1+411yescharacteristic
728C2×D73—41no—
729C2×D73—41no—
730C2×D73—41no—
731C2×D73—41no—
732C2×D73—41no—
733C2×D73—41no—
734C2×D73—41no—
735C2×D73—41no—
736C2×D73—41no—
737C2×D73—41no—
738C2×D73—41no—
739C2×D73—41no—
740C2×D73—41no—
741C2×D73—41no—
742C2×D73—88no—
743C2×D73—88no—
744C2×D73#53914yes—
745C2×D73#54014yes—
746C2×D73#54214yes—
747C2×D73#56014yes—
748C2×D73#56214yes—
749C2×D73#56214yes—
750C2×D73#56314yes—
751C4×C73—22no—
752C4×C73—41no—
753C4×C73—41no—
754C4×C73—41no—
755C4×C73—41no—
756C4×C73—41no—
757C4×C73—41no—
758C4×C73—41no—
759C4×C73—41no—
760C4×C73—41no—
761C4×C73—41no—
762C4×C73—41no—
763C4×C73—41no—
764Dic73—22no—
765Dic73—41no—
766Dic73—41no—
767Dic73—41no—
768Dic73—41no—
769Dic73—41no—
770Dic73—41no—
771Dic73—41no—
772Dic73—41no—
773Dic73—41no—
774Dic73—41no—
775Dic73—41no—
776Dic73—41no—
777C2×#2837—731nomaximal, Sylow
778C2×C73—81no—
779C2×C73—81no—
780C2×C73C2×#53911yescharacteristic
781C2×C73C2×#54011yescharacteristic
782C2×C73C2×#54211yescharacteristic
783C2×C73C2×#56011yescharacteristic
784C2×C73C2×#56211yescharacteristic
785C2×C73C2×#56211yescharacteristic
786C2×C73C2×#56311yescharacteristic
787D73—81no—
788D73—81no—
789D73#283718yesdirect product factor
790#2837—731no—
791#2837—731no—
792#2837—731no—
793#2837—731no—
794#2837—731no—
795#2837—731no—
796#2837—731no—
797#2837—731no—
798#2837—731no—
799#2837—731no—
800#2837—731no—
801#2837—731no—
802#2837—731no—
803#2837—731no—
804#2837—731no—
805#2837D7311yescharacteristic, direct product factor
806C2×#400—731no—
807C2×#399—731no—
808C2×#399—731no—
809C2×#398—731no—
810C2×#398—731no—
811C2×#397—731no—
812C2×#397—731no—
813C2×#396—731no—
814C2×#396—731no—
815C2×#394—731no—
816C2×#394—731no—
817C2×#394—731no—
818C2×#389—731no—
819C2×#388—731no—
820C2×#388—731no—
821C73C2×#283711yescharacteristic, complemented, Sylow
822C23×D4—731no—
823C22×C4⋊C4—731no—
824C22×C4⋊C4—731no—
825C22×C4⋊C4—731no—
826C22×C4⋊C4—731no—
827C22×C4⋊C4—731no—
828C22×C4⋊C4—731no—
829C22×C4⋊C4—731no—
830C22×C4⋊C4—731no—
831C22×C4⋊C4—731no—
832C22×C4⋊C4—731no—
833C22×C4⋊C4—731no—
834C22×C22⋊C4—731no—
835C22×C22⋊C4—731no—
836C22×C22⋊C4—731no—
837C22×C22⋊C4—731no—
838C22×C22⋊C4—731no—
839C22×C22⋊C4—731no—
840C22×C22⋊C4—731no—
841C22×C22⋊C4—731no—
842C22×C22⋊C4—731no—
843C22×C22⋊C4—731no—
844C22×C22⋊C4—731no—
845C22×C22⋊C4—731no—
846C22×C42—731no—
847#400—731no—
848#400—731no—
849#400—731no—
850#400—731no—
851#400—731no—
852#400—731no—
853#400—731no—
854#400C2×D7311yescharacteristic, complemented
855#399—731no—
856#399—731no—
857#399—731no—
858#399—731no—
859#399—731no—
860#399—731no—
861#399—731no—
862#399—731no—
863#399—731no—
864#399—731no—
865#399—731no—
866#399—731no—
867#399—731no—
868#399—731no—
869#399C2×D7311yescharacteristic, complemented
870#399C2×D7311yescharacteristic, complemented
871#398—731no—
872#398—731no—
873#398—731no—
874#398—731no—
875#398—731no—
876#398—731no—
877#398—731no—
878#398—731no—
879#398—731no—
880#398—731no—
881#398—731no—
882#398—731no—
883#398—731no—
884#398—731no—
885#398C2×D7311yescharacteristic, complemented
886#398C2×D7311yescharacteristic, complemented
887#397—731no—
888#397—731no—
889#397—731no—
890#397—731no—
891#397—731no—
892#397—731no—
893#397—731no—
894#397—731no—
895#397—731no—
896#397—731no—
897#397—731no—
898#397—731no—
899#397—731no—
900#397—731no—
901#397C2×D7311yescharacteristic, complemented
902#397C2×D7311yescharacteristic, complemented
903#396—731no—
904#396—731no—
905#396—731no—
906#396—731no—
907#396—731no—
908#396—731no—
909#396—731no—
910#396—731no—
911#396—731no—
912#396—731no—
913#396—731no—
914#396—731no—
915#396—731no—
916#396—731no—
917#396C2×D7311yescharacteristic, complemented
918#396C2×D7311yescharacteristic, complemented
919#394—731no—
920#394—731no—
921#394—731no—
922#394—731no—
923#394—731no—
924#394—731no—
925#394—731no—
926#394—731no—
927#394—731no—
928#394—731no—
929#394—731no—
930#394—731no—
931#394—731no—
932#394—731no—
933#394—731no—
934#394—731no—
935#394—731no—
936#394—731no—
937#394—731no—
938#394—731no—
939#394—731no—
940#394C2×D7311yescharacteristic
941#394C2×D7311yescharacteristic
942#394C2×D7311yescharacteristic
943#389—731no—
944#389—731no—
945#389—731no—
946#389—731no—
947#389—731no—
948#389—731no—
949#389—731no—
950#389C2×D7311yescharacteristic, complemented
951#388—731no—
952#388—731no—
953#388—731no—
954#388—731no—
955#388—731no—
956#388—731no—
957#388—731no—
958#388—731no—
959#388—731no—
960#388—731no—
961#388—731no—
962#388—731no—
963#388—731no—
964#388—731no—
965#388C2×D7311yescharacteristic, complemented
966#388C2×D7311yescharacteristic, complemented
967C2×#95—731no—
968C2×#95—731no—
969C2×#95—731no—
970C2×#95—731no—
971C2×#95—731no—
972C2×#95—731no—
973C2×#95—731no—
974C2×#95—731no—
975C2×#95—731no—
976C2×#95—731no—
977C25—731no—
978C25—731no—
979C22×D4—2922no—
980C22×D4—2922no—
981C22×D4—2922no—
982C22×D4—731no—
983C22×D4—731no—
984C22×D4—731no—
985C22×D4C22×D7311yescharacteristic
986C23×C4—731no—
987C23×C4—731no—
988C23×C4—731no—
989C23×C4—731no—
990C23×C4—731no—
991C23×C4—731no—
992C23×C4—731no—
993C23×C4—731no—
994C23×C4—731no—
995C23×C4—731no—
996C23×C4—731no—
997C23×C4—731no—
998C23×C4—731no—
999C2×C4⋊C4—2922no—
1000C2×C4⋊C4—2922no—
1001C2×C4⋊C4—2922no—
1002C2×C4⋊C4—2922no—
1003C2×C4⋊C4—2922no—
1004C2×C4⋊C4—2922no—
1005C2×C4⋊C4—2922no—
1006C2×C4⋊C4—2922no—
1007C2×C4⋊C4—2922no—
1008C2×C4⋊C4—2922no—
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—731no—
1018C2×C4⋊C4—731no—
1019C2×C4⋊C4—731no—
1020C2×C4⋊C4—731no—
1021C2×C4⋊C4—731no—
1022C2×C4⋊C4—731no—
1023C2×C4⋊C4—731no—
1024C2×C4⋊C4—731no—
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—1464no—
1043C2×C4⋊C4C22×D7311yescharacteristic
1044C2×C4⋊C4C22×D7311yescharacteristic
1045C2×C4⋊C4C22×D7311yescharacteristic
1046C2×C4⋊C4C22×D7311yescharacteristic
1047C2×C4⋊C4C22×D7311yescharacteristic
1048C2×C4⋊C4C22×D7311yescharacteristic
1049C2×C4⋊C4C22×D7311yescharacteristic
1050C2×C4⋊C4C22×D7311yescharacteristic
1051C2×C4⋊C4C22×D7311yescharacteristic
1052C2×C4⋊C4C22×D7311yescharacteristic
1053C2×C4⋊C4C22×D7311yescharacteristic
1054C2×C22⋊C4—2922no—
1055C2×C22⋊C4—2922no—
1056C2×C22⋊C4—2922no—
1057C2×C22⋊C4—2922no—
1058C2×C22⋊C4—2922no—
1059C2×C22⋊C4—2922no—
1060C2×C22⋊C4—2922no—
1061C2×C22⋊C4—2922no—
1062C2×C22⋊C4—2922no—
1063C2×C22⋊C4—2922no—
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—731no—
1093C2×C22⋊C4—731no—
1094C2×C22⋊C4—731no—
1095C2×C22⋊C4—731no—
1096C2×C22⋊C4—731no—
1097C2×C22⋊C4—731no—
1098C2×C22⋊C4—731no—
1099C2×C22⋊C4—731no—
1100C2×C22⋊C4—1464no—
1101C2×C22⋊C4—1464no—
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×C22⋊C4C22×D7311yescharacteristic
1112C2×C22⋊C4C22×D7311yescharacteristic
1113C2×C22⋊C4C22×D7311yescharacteristic
1114C2×C42—2922no—
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#95C22×D7311yescharacteristic
1150#95C22×D7311yescharacteristic
1151#95C22×D7311yescharacteristic
1152#95C22×D7311yescharacteristic
1153#95C22×D7311yescharacteristic
1154#95C22×D7311yescharacteristic
1155#95C22×D7311yescharacteristic
1156#95C22×D7311yescharacteristic
1157#95C22×D7311yescharacteristic
1158#95C22×D7311yescharacteristic
1159C24—731no—
1160C24—731no—
1161C24—731no—
1162C24—1462no—
1163C24—1462no—
1164C24—1462no—
1165C24—1462no—
1166C24—1462no—
1167C24—1462no—
1168C24—1462no—
1169C24—1462no—
1170C24—1462no—
1171C24—1462no—
1172C24—1462no—
1173C24—1462no—
1174C24—1462no—
1175C24—1462no—
1176C24C23×D7311yescharacteristic
1177C24C23×D7311yescharacteristic
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—2921no—
1182C2×D4—2921no—
1183C2×D4—2921no—
1184C2×D4—29216no—
1185C2×D4—2921no—
1186C2×D4—2921no—
1187C2×D4—2921no—
1188C2×D4—2921no—
1189C2×D4—2921no—
1190C2×D4—2921no—
1191C22×C4—731no—
1192C22×C4—734no—
1193C22×C4—731no—
1194C22×C4—731no—
1195C22×C4—731no—
1196C22×C4—731no—
1197C22×C4—731no—
1198C22×C4—731no—
1199C22×C4—731no—
1200C22×C4—731no—
1201C22×C4—731no—
1202C22×C4—731no—
1203C22×C4—731no—
1204C22×C4—731no—
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×C4—1462no—
1230C22×C4—1462no—
1231C22×C4—1462no—
1232C22×C4—1462no—
1233C22×C4—1462no—
1234C22×C4—1462no—
1235C22×C4—1462no—
1236C22×C4—1462no—
1237C22×C4—1462no—
1238C22×C4—1462no—
1239C22×C4—1462no—
1240C22×C4—1462no—
1241C22×C4—1462no—
1242C22×C4—1462no—
1243C22×C4C23×D7311yescharacteristic
1244C22×C4C23×D7311yescharacteristic
1245C22×C4C23×D7311yescharacteristic
1246C22×C4C23×D7311yescharacteristic
1247C22×C4C23×D7311yescharacteristic
1248C22×C4C23×D7311yescharacteristic
1249C22×C4C23×D7311yescharacteristic
1250C22×C4C23×D7311yescharacteristic
1251C22×C4C23×D7311yescharacteristic
1252C22×C4C23×D7311yescharacteristic
1253C22×C4C23×D7311yescharacteristic
1254C22×C4C23×D7311yescharacteristic
1255C22×C4C23×D7311yescharacteristic
1256C4⋊C4—22no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—2921no—
1268C4⋊C4—2921no—
1269C4⋊C4—2921no—
1270C4⋊C4—2921no—
1271C4⋊C4—2921no—
1272C4⋊C4—2921no—
1273C4⋊C4—2921no—
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—2921no—
1294C4⋊C4—2921no—
1295C4⋊C4—2921no—
1296C4⋊C4—2921no—
1297C4⋊C4—1462no—
1298C4⋊C4—1462no—
1299C4⋊C4—1462no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
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—2921no—
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—2921no—
1341C22⋊C4—2921no—
1342C22⋊C4—1462no—
1343C22⋊C4—1462no—
1344C22⋊C4—1462no—
1345C22⋊C4—1462no—
1346C22⋊C4—1462no—
1347C22⋊C4—1462no—
1348C42—41no—
1349C42—2921no—
1350C42—2921no—
1351C42—2921no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—2924no—
1367C23—2924no—
1368C23—2924no—
1369C23—2924no—
1370C23—2924no—
1371C23—2924no—
1372C23—2924no—
1373C23—2924no—
1374C23—2924no—
1375C23—2924no—
1376C23—2924no—
1377C23—2924no—
1378C23—2924no—
1379C23—2924no—
1380C23—732no—
1381C23—732no—
1382C23—732no—
1383C23—732no—
1384C23—732no—
1385C23—732no—
1386C23—732no—
1387C23—1461no—
1388C23—1461no—
1389C23—1461no—
1390C23—1461no—
1391C23—1461no—
1392C23—1461no—
1393C23—1461no—
1394C23—1461no—
1395C23—1461no—
1396C23—1461no—
1397C23—1461no—
1398C23—1461no—
1399C23—1461no—
1400C23—1461no—
1401C23C24×D7311yescharacteristic
1402D4—44no—
1403D4—2924no—
1404D4—2924no—
1405D4—2924no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
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—2924no—
1445C2×C4—2924no—
1446C2×C4—2924no—
1447C2×C4—2924no—
1448C2×C4—2924no—
1449C2×C4—2924no—
1450C2×C4—2924no—
1451C2×C4—2924no—
1452C2×C4—2924no—
1453C2×C4—2924no—
1454C2×C4—2924no—
1455C2×C4—2924no—
1456C2×C4—732no—
1457C2×C4—1468no—
1458C2×C4—1461no—
1459C2×C4—1461no—
1460C2×C4—1461no—
1461C2×C4—1461no—
1462C2×C4—1461no—
1463C2×C4—1461no—
1464C2×C4—1461no—
1465C2×C4—1461no—
1466C2×C4—1461no—
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#41×D7312yes—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—2921no—
1512C22—2921no—
1513C22—2921no—
1514C22—2921no—
1515C22—2921no—
1516C22—2921no—
1517C22—2921no—
1518C22—2921no—
1519C22—2921no—
1520C22—2921no—
1521C22—2921no—
1522C22—2921no—
1523C22—2921no—
1524C22—2921no—
1525C22—5848no—
1526C22—5848no—
1527C22—734no—
1528C22—734no—
1529C22—734no—
1530C22—734no—
1531C22—734no—
1532C22—734no—
1533C22—734no—
1534C22C2×#41×D7311yescharacteristic
1535C22H(5,𝔽2)×D7311yescharacteristic
1536C22H(5,𝔽2)×D7311yescharacteristic
1537C22H(5,𝔽2)×D7311yescharacteristic
1538C22H(5,𝔽2)×D7311yescharacteristic
1539C222−1+4×D7311yescharacteristic
1540C222−1+4×D7311yescharacteristic
1541C4—22no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—2921no—
1555C4—2921no—
1556C4—2921no—
1557C4—2921no—
1558C4—2921no—
1559C4—2921no—
1560C4—2921no—
1561C4—2921no—
1562C4—2921no—
1563C4—2921no—
1564C4—2921no—
1565C4—2921no—
1566C4—1462no—
1567C2—81no—
1568C2—81no—
1569C2—5841no—
1570C2—5841no—
1571C2—738no—
1572C2#539×D7311yescharacteristic
1573C2#540×D7311yescharacteristic
1574C2#542×D7311yescharacteristic
1575C2#560×D7311yescharacteristic
1576C2#562×D7311yescharacteristic
1577C2#562×D7311yescharacteristic
1578C2#563×D7311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2837C2
prime radicalC22×D4×D73C22
hypercenter#2837D73
hypocenterC73C2×#2837
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2837

Complements

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

NH ≅ G/Ntype
1. #22618152C2semidirect
2. #22618151C2semidirect
3. #22618150C2semidirect
4. #22618149C2semidirect
5. #22618148C2semidirect
6. #22618147C2semidirect
7. #22618146C2semidirect
8. #22618145C2semidirect
9. #22618144C2semidirect
10. #22618143C2semidirect
11. #22618142C2semidirect
12. #22618141C2semidirect
13. #22618140C2semidirect
14. #22618139C2semidirect
15. #22618138C2semidirect
16. #400×D73C2semidirect
17. #399×D73C2semidirect
18. #399×D73C2semidirect
19. #398×D73C2semidirect
20. #398×D73C2semidirect
21. #397×D73C2semidirect
22. #397×D73C2semidirect
23. #396×D73C2semidirect
24. #396×D73C2semidirect
28. #389×D73C2semidirect
29. #388×D73C2semidirect
30. #388×D73C2semidirect
31. C73×#2837C2semidirect
57. #17988529C22semidirect
58. #17988529C22semidirect
59. #17988528C22semidirect
60. #17988528C22semidirect
61. #17988527C22semidirect
62. #17988526C22semidirect
63. #17988525C22semidirect
64. #17988524C22semidirect
65. #17988524C22semidirect
66. #17988523C22semidirect
67. #17988523C22semidirect
68. #17988523C22semidirect
69. #17988523C22semidirect
70. #17988523C22semidirect
71. #17988523C22semidirect
72. #17988522C22semidirect
73. #17988522C22semidirect
74. #17988522C22semidirect
75. #17988522C22semidirect
76. #17988522C22semidirect
77. #17988522C22semidirect
78. #17988521C22semidirect
79. #17988521C22semidirect
80. #17988521C22semidirect
81. #17988521C22semidirect
82. #17988520C22semidirect
83. #17988520C22semidirect
84. #17988520C22semidirect
85. #17988520C22semidirect
86. #17988519C22semidirect
87. #17988519C22semidirect
88. #17988518C22semidirect
89. #17988518C22semidirect
90. #17988517C22semidirect
91. #17988517C22semidirect
92. #17988516C22semidirect
93. #17988516C22semidirect
94. #17988516C22semidirect
95. #17988516C22semidirect
96. #17988515C22semidirect
97. #17988515C22semidirect
98. #17988515C22semidirect
99. #17988515C22semidirect
100. #17988514C22semidirect
101. #17988514C22semidirect
102. #17988513C22semidirect
103. #17988513C22semidirect
104. #17988512C22semidirect
105. #17988512C22semidirect
106. #17988511C22semidirect
107. #17988511C22semidirect
108. #17988510C22semidirect
109. #17988510C22semidirect
110. #17988510C22semidirect
111. #17988510C22semidirect
112. #17988510C22semidirect
113. #17988510C22semidirect
114. #17988509C22semidirect
115. #17988509C22semidirect
116. #17988509C22semidirect
117. #17988509C22semidirect
118. #17988509C22semidirect
119. #17988509C22semidirect
141. #17988486C22semidirect
142. #17988485C22semidirect
143. #17988484C22semidirect
144. #17988484C22semidirect
145. #17988483C22semidirect
146. #17988482C22semidirect
147. #17988482C22semidirect
148. #17988481C22semidirect
149. #17988481C22semidirect
150. #17988480C22semidirect
151. #17988480C22semidirect
152. #17988479C22semidirect
153. #17988479C22semidirect
154. #17988478C22semidirect
155. #17988478C22semidirect
156. #17988477C22semidirect
157. #17988477C22semidirect
158. #17988476C22semidirect
159. #17988476C22semidirect
160. #17988475C22semidirect
161. #17988475C22semidirect
172. #400×C73C22semidirect
173. #399×C73C22semidirect
174. #399×C73C22semidirect
175. #398×C73C22semidirect
176. #398×C73C22semidirect
177. #397×C73C22semidirect
178. #397×C73C22semidirect
179. #396×C73C22semidirect
180. #396×C73C22semidirect
184. #389×C73C22semidirect
185. #388×C73C22semidirect
186. #388×C73C22semidirect
789. D73#2837direct (N × H)
805. #2837D73direct (N × H)
821. C73C2×#2837semidirect
854. #400C2×D73semidirect
869. #399C2×D73semidirect
870. #399C2×D73semidirect
885. #398C2×D73semidirect
886. #398C2×D73semidirect
901. #397C2×D73semidirect
902. #397C2×D73semidirect
917. #396C2×D73semidirect
918. #396C2×D73semidirect
950. #389C2×D73semidirect
965. #388C2×D73semidirect
966. #388C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226181522
#226181512
#226181502
#226181492
#226181482
#226181472
#226181462
#226181452
#226181442
#226181432
#226181422
#226181412
#226181402
#226181392
#226181382
#400×D732
#399×D732
#398×D732
#397×D732
#396×D732
#394×D732
#389×D732
#388×D732
C73×#28372
C2×#283773