Finite Group Databasebeta

← #2444×D73 #33253714

Subgroups — #2444×D73 #33253714

Order 18688.

3546 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#121×D73C211yesmaximal, characteristic
2C2×C4×D4×D73C211yesmaximal, characteristic, complemented
3#22613688C211yesmaximal, characteristic, complemented
4#22613687C211yesmaximal, characteristic, complemented
5#22613686C211yesmaximal, characteristic, complemented
6#22613685C211yesmaximal, characteristic, complemented
7#22613684C211yesmaximal, characteristic, complemented
8#22613683C211yesmaximal, characteristic, complemented
9#22613682C211yesmaximal, characteristic, complemented
10#22613681C211yesmaximal, characteristic, complemented
11#22613680C211yesmaximal, characteristic, complemented
12#22613679C211yesmaximal, characteristic, complemented
13#22613678C211yesmaximal, characteristic, complemented
14#22613677C211yesmaximal, characteristic, complemented
15#22613676C211yesmaximal, characteristic, complemented
16#22613675C211yesmaximal, characteristic, complemented
17#22613674C211yesmaximal, characteristic, complemented
18#400×D73C211yesmaximal, characteristic, complemented
19#397×D73C211yesmaximal, characteristic, complemented
20#397×D73C211yesmaximal, characteristic, complemented
21#394×D73C211yesmaximal, characteristic, complemented
22#388×D73C211yesmaximal, characteristic, complemented
23#387×D73C211yesmaximal, characteristic, complemented
24#386×D73C211yesmaximal, characteristic, complemented
25#386×D73C211yesmaximal, characteristic, complemented
26#386×D73C211yesmaximal, characteristic, complemented
27#386×D73C211yesmaximal, characteristic, complemented
28#385×D73C211yesmaximal, characteristic, complemented
29#381×D73C211yesmaximal, characteristic, complemented
30C2×#95×D73C211yesmaximal, characteristic, complemented
31C73×#2444C211yesmaximal, characteristic, complemented
32C22×D4×D73C2211yescharacteristic
33C22×D4×D73C2211yescharacteristic
34C22×D4×D73C2211yescharacteristic
35C23×C4×D73C2211yescharacteristic
36C23×C4×D73C2211yescharacteristic
37C23×C4×D73C2211yescharacteristic
38C23×C4×D73C2211yescharacteristic
39C2×#14556566C2211yescharacteristic
40C2×#14556565C2211yescharacteristic
41C2×#14556564C2211yescharacteristic
42C2×#14556564C2211yescharacteristic
43C2×#14556563C2211yescharacteristic
44C2×#14556563C2211yescharacteristic
45C2×#14556562C2211yescharacteristic
46#121×D73—28no—
47C2×C4×D292C2211yescharacteristic, complemented
48C2×D4×Dic73C2211yescharacteristic, complemented
49C2×#14556553C2211yescharacteristic, complemented
50C2×C4×C22⋊D73C2211yescharacteristic, complemented
51C2×C4×C22⋊D73C2211yescharacteristic, complemented
52C2×#14556551C2211yescharacteristic, complemented
53C2×#14556551C2211yescharacteristic, complemented
54C4×D4×D73—28no—
55C2×C4⋊C4×D73C2211yescharacteristic
56C2×C4⋊C4×D73C2211yescharacteristic
57C2×C4⋊C4×D73C2211yescharacteristic
58C2×C4⋊C4×D73C2211yescharacteristic
59C2×C22⋊C4×D73C2211yescharacteristic
60C2×C22⋊C4×D73C2211yescharacteristic
61C2×C22⋊C4×D73C2211yescharacteristic
62C2×C22⋊C4×D73C2211yescharacteristic
63C2×C22⋊C4×D73C2211yescharacteristic
64C2×C22⋊C4×D73C2211yescharacteristic
65C2×C22⋊C4×D73C2211yescharacteristic
66C2×C22⋊C4×D73C2211yescharacteristic
67C2×C22⋊C4×D73C2211yescharacteristic
68C2×C22⋊C4×D73C2211yescharacteristic
69C2×C22⋊C4×D73C2211yescharacteristic
70C2×C42×D73C2211yescharacteristic
71#17988529C2211yescharacteristic, complemented
72#17988529C2211yescharacteristic, complemented
73#17988528C2211yescharacteristic, complemented
74#17988528C2211yescharacteristic, complemented
75#17988527C2211yescharacteristic, complemented
76#17988526C2211yescharacteristic, complemented
77#17988525C2211yescharacteristic, complemented
78#17988516C2211yescharacteristic, complemented
79#17988516C2211yescharacteristic, complemented
80#17988516C2211yescharacteristic, complemented
81#17988516C2211yescharacteristic, complemented
82#17988515C2211yescharacteristic, complemented
83#17988515C2211yescharacteristic, complemented
84#17988515C2211yescharacteristic, complemented
85#17988515C2211yescharacteristic, complemented
86#17988514C2211yescharacteristic, complemented
87#17988514C2211yescharacteristic, complemented
88#17988513C2211yescharacteristic, complemented
89#17988513C2211yescharacteristic, complemented
90#17988512C2211yescharacteristic, complemented
91#17988512C2211yescharacteristic, complemented
92#17988505C2211yescharacteristic, complemented
93#17988504C2211yescharacteristic, complemented
94#17988503C2211yescharacteristic, complemented
95#17988503C2211yescharacteristic, complemented
96#17988502C2211yescharacteristic, complemented
97#17988502C2211yescharacteristic, complemented
98#17988501C2211yescharacteristic, complemented
99#17988481C2211yescharacteristic, complemented
100#17988480C2211yescharacteristic, complemented
101#17988479C2211yescharacteristic, complemented
102#17988478C2211yescharacteristic, complemented
103#17988477C2211yescharacteristic, complemented
104#17988476C2211yescharacteristic, complemented
105#17988475C2211yescharacteristic, complemented
106#17988474C2211yescharacteristic, complemented
107#17988473C2211yescharacteristic, complemented
108#17988472C2211yescharacteristic, complemented
109#17988471C2211yescharacteristic, complemented
110#17988470C2211yescharacteristic, complemented
111#17988469C2211yescharacteristic, complemented
112#17988468C2211yescharacteristic, complemented
113#17988467C2211yescharacteristic, complemented
114#17988467C2211yescharacteristic, complemented
115#17988467C2211yescharacteristic, complemented
116#17988467C2211yescharacteristic, complemented
117#17988466C2211yescharacteristic, complemented
118#17988466C2211yescharacteristic, complemented
119#17988466C2211yescharacteristic, complemented
120#17988466C2211yescharacteristic, complemented
121#17988465C2211yescharacteristic, complemented
122#17988465C2211yescharacteristic, complemented
123#17988465C2211yescharacteristic, complemented
124#17988465C2211yescharacteristic, complemented
125#17988465C2211yescharacteristic, complemented
126#17988465C2211yescharacteristic, complemented
127#17988465C2211yescharacteristic, complemented
128#17988465C2211yescharacteristic, complemented
129#17988464C2211yescharacteristic, complemented
130#17988464C2211yescharacteristic, complemented
131#17988464C2211yescharacteristic, complemented
132#17988464C2211yescharacteristic, complemented
133#17988463C2211yescharacteristic, complemented
134#17988463C2211yescharacteristic, complemented
135#17988463C2211yescharacteristic, complemented
136#17988463C2211yescharacteristic, complemented
137#17988463C2211yescharacteristic, complemented
138#17988463C2211yescharacteristic, complemented
139#17988463C2211yescharacteristic, complemented
140#17988463C2211yescharacteristic, complemented
141#17988462C2211yescharacteristic, complemented
142#17988461C2211yescharacteristic, complemented
143#17988461C2211yescharacteristic, complemented
144#17988460C2211yescharacteristic, complemented
145#17988459C2211yescharacteristic, complemented
146#17988458C2211yescharacteristic, complemented
147#17988458C2211yescharacteristic, complemented
148#17988450C2211yescharacteristic, complemented
149#17988449C2211yescharacteristic, complemented
150#17988449C2211yescharacteristic, complemented
151#17988449C2211yescharacteristic, complemented
152#17988449C2211yescharacteristic, complemented
153#17988448C2211yescharacteristic, complemented
154#17988448C2211yescharacteristic, complemented
155C2×#14556498C2211yescharacteristic, complemented
156C2×#14556498C2211yescharacteristic, complemented
157C2×#14556498C2211yescharacteristic, complemented
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, complemented
171#95×D73C2211yescharacteristic, complemented
172#95×D73C2211yescharacteristic, complemented
173#95×D73C2211yescharacteristic, complemented
174C2×#121×C73C2211yescharacteristic
175C2×C4×D4×C73C2211yescharacteristic, complemented
176#400×C73C2211yescharacteristic, complemented
177#397×C73C2211yescharacteristic, complemented
178#397×C73C2211yescharacteristic, complemented
179#394×C73C2211yescharacteristic, complemented
180#388×C73C2211yescharacteristic, complemented
181#387×C73C2211yescharacteristic, complemented
182#386×C73C2211yescharacteristic, complemented
183#386×C73C2211yescharacteristic, complemented
184#386×C73C2211yescharacteristic, complemented
185#386×C73C2211yescharacteristic, complemented
186#385×C73C2211yescharacteristic, complemented
187#381×C73C2211yescharacteristic, complemented
188C2×#95×C73C2211yescharacteristic, complemented
189C24×D73C2311yescharacteristic
190C24×D73C2311yescharacteristic
191C24×D73C2311yescharacteristic
192C22×D292C2311yescharacteristic
193C22×D292C2311yescharacteristic
194C22×D292C2311yescharacteristic
195C22×C22⋊D73C2311yescharacteristic
196C22×C22⋊D73C2311yescharacteristic
197C22×C22⋊D73C2311yescharacteristic
198C22×C22⋊D73C2311yescharacteristic
199C22×C22⋊D73C2311yescharacteristic
200C22×C22⋊D73C2311yescharacteristic
201C2×D4×D73—24no—
202C2×D4×D73—24no—
203C2×D4×D73—24no—
204C2×D4×D73—24no—
205C2×D4×D73—24no—
206C2×D4×D73—24no—
207C2×D4×D73—24no—
208C2×D4×D73—42no—
209C2×D4×D73D418yes—
210C23×Dic73C2311yescharacteristic
211C23×Dic73C2311yescharacteristic
212C23×Dic73C2311yescharacteristic
213C23×Dic73C2311yescharacteristic
214C22×C4×D73—24no—
215C22×C4×D73—24no—
216C22×C4×D73—24no—
217C22×C4×D73—24no—
218C22×C4×D73—24no—
219C22×C4×D73—24no—
220C22×C4×D73—24no—
221C22×C4×D73—42no—
222C22×C4×D73—42no—
223C22×C4×D73—42no—
224C22×C4×D73—42no—
225C22×C4×D73—42no—
226C22×C4×D73C2311yescharacteristic
227C22×C4×D73C2311yescharacteristic
228C22×C4×D73C2311yescharacteristic
229C22×C4×D73C2311yescharacteristic
230C22×C4×D73C2311yescharacteristic
231C22×C4×D73C2311yescharacteristic
232C22×C4×D73C2311yescharacteristic
233C22×C4×D73C2311yescharacteristic
234C22×C4×D73C2311yescharacteristic
235C22×C4×D73C2311yescharacteristic
236C22×C4×D73C2311yescharacteristic
237C22×C4×D73C2311yescharacteristic
238C22×C4×D73C2311yescharacteristic
239C22×C4×D73C2311yescharacteristic
240C22×C4×D73C2311yescharacteristic
241C22×C4×D73C2311yescharacteristic
242C22×C4×D73C2311yescharacteristic
243C22×C4×D73C2311yescharacteristic
244C22×C4×D73C2311yescharacteristic
245C22×C4×D73C2311yescharacteristic
246#14556566—24no—
247#14556565—24no—
248#14556564—24no—
249#14556564—24no—
250#14556563—24no—
251#14556563—24no—
252#14556562—24no—
253C4×D292—24no—
254D4×Dic73—24no—
255#14556553—24no—
256C4×C22⋊D73—24no—
257C4×C22⋊D73—24no—
258#14556551—24no—
259#14556551—24no—
260C2×C4⋊Dic73C2311yescharacteristic
261C2×C4⋊Dic73C2311yescharacteristic
262C2×C4⋊Dic73C2311yescharacteristic
263C2×C4⋊Dic73C2311yescharacteristic
264C2×#11924007C2311yescharacteristic
265C2×#11924007C2311yescharacteristic
266C2×#11924007C2311yescharacteristic
267C2×#11924007C2311yescharacteristic
268C2×#11924007C2311yescharacteristic
269C2×#11924007C2311yescharacteristic
270C2×#11924007C2311yescharacteristic
271C2×#11924007C2311yescharacteristic
272C4⋊C4×D73—24no—
273C4⋊C4×D73—24no—
274C4⋊C4×D73—24no—
275C4⋊C4×D73—42no—
276C2×C22⋊Dic73C2311yescharacteristic
277C2×C22⋊Dic73C2311yescharacteristic
278C2×C22⋊Dic73C2311yescharacteristic
279C2×C22⋊Dic73C2311yescharacteristic
280C2×C22⋊Dic73C2311yescharacteristic
281C2×C22⋊Dic73C2311yescharacteristic
282C2×C22⋊Dic73C2311yescharacteristic
283C2×C22⋊Dic73C2311yescharacteristic
284C2×C22⋊Dic73C2311yescharacteristic
285C2×C22⋊Dic73C2311yescharacteristic
286C2×C22⋊Dic73C2311yescharacteristic
287C2×#11924005C2311yescharacteristic
288C2×#11924005C2311yescharacteristic
289C2×#11924005C2311yescharacteristic
290C2×#11924005C2311yescharacteristic
291C2×#11924005C2311yescharacteristic
292C2×#11924005C2311yescharacteristic
293C2×#11924005C2311yescharacteristic
294C2×#11924005C2311yescharacteristic
295C2×#11924005C2311yescharacteristic
296C2×#11924005C2311yescharacteristic
297C2×#11924005C2311yescharacteristic
298C2×#11924005C2311yescharacteristic
299C2×#11924005C2311yescharacteristic
300C2×#11924005C2311yescharacteristic
301C2×#11924005C2311yescharacteristic
302C2×#11924005C2311yescharacteristic
303C2×#11924005C2311yescharacteristic
304C2×#11924005C2311yescharacteristic
305C2×#11924005C2311yescharacteristic
306C2×#11924005C2311yescharacteristic
307C2×#11924005C2311yescharacteristic
308C2×#11924005C2311yescharacteristic
309C22⋊C4×D73—24no—
310C22⋊C4×D73—24no—
311C22⋊C4×D73—24no—
312C22⋊C4×D73—24no—
313C22⋊C4×D73—24no—
314C22⋊C4×D73—24no—
315C22⋊C4×D73—42no—
316C22⋊C4×D73—42no—
317C22⋊C4×D73—42no—
318C22⋊C4×D73—42no—
319C22⋊C4×D73—42no—
320C2×C4×Dic73C2311yescharacteristic
321C2×C4×Dic73C2311yescharacteristic
322C2×C4×Dic73C2311yescharacteristic
323C42×D73—24no—
324#14556498C2311yescharacteristic
325#14556498C2311yescharacteristic
326#14556498C2311yescharacteristic
327#14556498C2311yescharacteristic
328#14556498C2311yescharacteristic
329#14556498C2311yescharacteristic
330#14556498C2311yescharacteristic
331#14556498C2311yescharacteristic
332#14556498C2311yescharacteristic
333#14556498C2311yescharacteristic
334#14556498C2311yescharacteristic
335#14556498C2311yescharacteristic
336#14556498C2311yescharacteristic
337#14556498C2311yescharacteristic
338#14556498C2311yescharacteristic
339#14556498C2311yescharacteristic
340#14556498C2311yescharacteristic
341#14556498C2311yescharacteristic
342#14556498C2311yescharacteristic
343#14556498C2311yescharacteristic
344#14556498C2311yescharacteristic
345#14556498C2311yescharacteristic
346#14556498C2311yescharacteristic
347#14556498C2311yescharacteristic
348#14556498C2311yescharacteristic
349#14556498C2311yescharacteristic
350#14556498C2311yescharacteristic
351#14556498C2311yescharacteristic
352#14556498C2311yescharacteristic
353#14556498C2311yescharacteristic
354#14556498C2311yescharacteristic
355#14556498C2311yescharacteristic
356#14556498C2311yescharacteristic
357#14556498C2311yescharacteristic
358#14556498C2311yescharacteristic
359#14556498C2311yescharacteristic
360C22×D4×C73C2311yescharacteristic
361C22×D4×C73C2311yescharacteristic
362C22×D4×C73C2311yescharacteristic
363C23×C4×C73C2311yescharacteristic
364C23×C4×C73C2311yescharacteristic
365C23×C4×C73C2311yescharacteristic
366C23×C4×C73C2311yescharacteristic
367#121×C73—24no—
368C4×D4×C73—24no—
369C2×C4⋊C4×C73C2311yescharacteristic
370C2×C4⋊C4×C73C2311yescharacteristic
371C2×C4⋊C4×C73C2311yescharacteristic
372C2×C4⋊C4×C73C2311yescharacteristic
373C2×C22⋊C4×C73C2311yescharacteristic
374C2×C22⋊C4×C73C2311yescharacteristic
375C2×C22⋊C4×C73C2311yescharacteristic
376C2×C22⋊C4×C73C2311yescharacteristic
377C2×C22⋊C4×C73C2311yescharacteristic
378C2×C22⋊C4×C73C2311yescharacteristic
379C2×C22⋊C4×C73C2311yescharacteristic
380C2×C22⋊C4×C73C2311yescharacteristic
381C2×C22⋊C4×C73C2311yescharacteristic
382C2×C22⋊C4×C73C2311yescharacteristic
383C2×C22⋊C4×C73C2311yescharacteristic
384C2×C42×C73C2311yescharacteristic
385#95×C73C2311yescharacteristic
386#95×C73C2311yescharacteristic
387#95×C73C2311yescharacteristic
388#95×C73C2311yescharacteristic
389#95×C73C2311yescharacteristic
390#95×C73C2311yescharacteristic
391#95×C73C2311yescharacteristic
392#95×C73C2311yescharacteristic
393#95×C73C2311yescharacteristic
394#95×C73C2311yescharacteristic
395#95×C73C2311yescharacteristic
396#95×C73C2311yescharacteristic
397C23×D73—22no—
398C23×D73—22no—
399C23×D73—22no—
400C23×D73—22no—
401C23×D73—22no—
402C23×D73—22no—
403C23×D73—22no—
404C23×D73—22no—
405C23×D73—22no—
406C23×D73—22no—
407C23×D73—22no—
408C23×D73—22no—
409C23×D73—22no—
410C23×D73—22no—
411C23×D73—22no—
412C23×D73—22no—
413C23×D73—22no—
414C23×D73C2×D414yes—
415C23×D73C2×D414yes—
416C23×D73#4114yes—
417C23×D73#4114yes—
418C23×D73C2411yescharacteristic
419C23×D73C2411yescharacteristic
420C23×D73C2411yescharacteristic
421C23×D73C2411yescharacteristic
422C2×D292—22no—
423C2×D292—22no—
424C2×D292—22no—
425C2×D292—22no—
426C2×D292—22no—
427C2×D292—22no—
428C2×D292—22no—
429C2×D292—41no—
430C2×D292C2×D414yes—
431C2×C22⋊D73—22no—
432C2×C22⋊D73—22no—
433C2×C22⋊D73—22no—
434C2×C22⋊D73—22no—
435C2×C22⋊D73—22no—
436C2×C22⋊D73—22no—
437C2×C22⋊D73—22no—
438C2×C22⋊D73—22no—
439C2×C22⋊D73—22no—
440C2×C22⋊D73—22no—
441C2×C22⋊D73—22no—
442C2×C22⋊D73—22no—
443C2×C22⋊D73—22no—
444C2×C22⋊D73—22no—
445C2×C22⋊D73—41no—
446C2×C22⋊D73—41no—
447C2×C22⋊D73C2×D414yes—
448C2×C22⋊D73C2×D414yes—
449D4×D73—232no—
450D4×D73—416no—
451D4×D73—416no—
452C22×Dic73—22no—
453C22×Dic73—22no—
454C22×Dic73—22no—
455C22×Dic73—22no—
456C22×Dic73—22no—
457C22×Dic73—22no—
458C22×Dic73—22no—
459C22×Dic73—41no—
460C22×Dic73—41no—
461C22×Dic73—41no—
462C22×Dic73—41no—
463C22×Dic73—41no—
464C22×Dic73C2411yescharacteristic
465C22×Dic73C2411yescharacteristic
466C22×Dic73C2411yescharacteristic
467C22×Dic73C2411yescharacteristic
468C22×Dic73C2411yescharacteristic
469C22×Dic73C2411yescharacteristic
470C22×Dic73C2411yescharacteristic
471C22×Dic73C2411yescharacteristic
472C22×Dic73C2411yescharacteristic
473C22×Dic73C2411yescharacteristic
474C22×Dic73C2411yescharacteristic
475C22×Dic73C2411yescharacteristic
476C2×C4×D73—22no—
477C2×C4×D73—22no—
478C2×C4×D73—22no—
479C2×C4×D73—22no—
480C2×C4×D73—22no—
481C2×C4×D73—22no—
482C2×C4×D73—22no—
483C2×C4×D73—22no—
484C2×C4×D73—22no—
485C2×C4×D73—22no—
486C2×C4×D73—22no—
487C2×C4×D73—22no—
488C2×C4×D73—22no—
489C2×C4×D73—22no—
490C2×C4×D73—22no—
491C2×C4×D73—22no—
492C2×C4×D73—22no—
493C2×C4×D73—22no—
494C2×C4×D73—22no—
495C2×C4×D73—22no—
496C2×C4×D73—22no—
497C2×C4×D73—22no—
498C2×C4×D73—22no—
499C2×C4×D73—22no—
500C2×C4×D73—22no—
501C2×C4×D73—22no—
502C2×C4×D73—22no—
503C2×C4×D73—22no—
504C2×C4×D73—22no—
505C2×C4×D73—22no—
506C2×C4×D73—22no—
507C2×C4×D73—22no—
508C2×C4×D73—22no—
509C2×C4×D73—22no—
510C2×C4×D73—22no—
511C2×C4×D73—22no—
512C2×C4×D73—22no—
513C2×C4×D73—22no—
514C2×C4×D73—22no—
515C2×C4×D73—22no—
516C2×C4×D73—22no—
517C2×C4×D73—22no—
518C2×C4×D73—22no—
519C2×C4×D73—22no—
520C2×C4×D73—22no—
521C2×C4×D73—22no—
522C2×C4×D73—22no—
523C2×C4×D73—416no—
524C2×C4×D73—416no—
525C2×C4×D73—416no—
526C2×C4×D73—41no—
527C2×C4×D73—41no—
528C2×C4×D73—41no—
529C2×C4×D73—41no—
530C2×C4×D73—41no—
531C2×C4×D73—41no—
532C2×C4×D73—41no—
533C2×C4×D73—41no—
534C2×C4×D73—41no—
535C2×C4×D73—41no—
536C2×C4×D73—416no—
537C2×C4×D73C2×D414yes—
538C2×C4×D73#4114yes—
539C2×C4×D73#4114yes—
540C4⋊Dic73—22no—
541C4⋊Dic73—22no—
542C4⋊Dic73—22no—
543C4⋊Dic73—41no—
544#11924007—22no—
545#11924007—22no—
546#11924007—22no—
547#11924007—22no—
548#11924007—22no—
549#11924007—22no—
550#11924007—41no—
551#11924007—41no—
552C22⋊Dic73—22no—
553C22⋊Dic73—22no—
554C22⋊Dic73—22no—
555C22⋊Dic73—22no—
556C22⋊Dic73—22no—
557C22⋊Dic73—22no—
558C22⋊Dic73—41no—
559C22⋊Dic73—41no—
560C22⋊Dic73—41no—
561C22⋊Dic73—41no—
562C22⋊Dic73—41no—
563#11924005—22no—
564#11924005—22no—
565#11924005—22no—
566#11924005—22no—
567#11924005—22no—
568#11924005—22no—
569#11924005—22no—
570#11924005—22no—
571#11924005—22no—
572#11924005—22no—
573#11924005—22no—
574#11924005—22no—
575#11924005—41no—
576#11924005—41no—
577#11924005—41no—
578#11924005—41no—
579#11924005—41no—
580#11924005—41no—
581#11924005—41no—
582#11924005—41no—
583#11924005—41no—
584#11924005—41no—
585C4×Dic73—22no—
586C4×Dic73—22no—
587C4×Dic73—22no—
588C24×C73C2411yescharacteristic
589C24×C73C2411yescharacteristic
590C24×C73C2411yescharacteristic
591C2×D4×C73—22no—
592C2×D4×C73—22no—
593C2×D4×C73—22no—
594C2×D4×C73—22no—
595C2×D4×C73—22no—
596C2×D4×C73—22no—
597C2×D4×C73—22no—
598C2×D4×C73—41no—
599C2×D4×C73C2×D414yes—
600C22×C4×C73—22no—
601C22×C4×C73—22no—
602C22×C4×C73—22no—
603C22×C4×C73—22no—
604C22×C4×C73—22no—
605C22×C4×C73—22no—
606C22×C4×C73—22no—
607C22×C4×C73—41no—
608C22×C4×C73—41no—
609C22×C4×C73—41no—
610C22×C4×C73—41no—
611C22×C4×C73—41no—
612C22×C4×C73C2411yescharacteristic
613C22×C4×C73C2411yescharacteristic
614C22×C4×C73C2411yescharacteristic
615C22×C4×C73C2411yescharacteristic
616C22×C4×C73C2411yescharacteristic
617C22×C4×C73C2411yescharacteristic
618C22×C4×C73C2411yescharacteristic
619C22×C4×C73C2411yescharacteristic
620C22×C4×C73C2411yescharacteristic
621C22×C4×C73C2411yescharacteristic
622C22×C4×C73C2411yescharacteristic
623C22×C4×C73C2411yescharacteristic
624C4⋊C4×C73—22no—
625C4⋊C4×C73—22no—
626C4⋊C4×C73—22no—
627C4⋊C4×C73—41no—
628C22⋊C4×C73—22no—
629C22⋊C4×C73—22no—
630C22⋊C4×C73—22no—
631C22⋊C4×C73—22no—
632C22⋊C4×C73—22no—
633C22⋊C4×C73—22no—
634C22⋊C4×C73—41no—
635C22⋊C4×C73—41no—
636C22⋊C4×C73—41no—
637C22⋊C4×C73—41no—
638C22⋊C4×C73—41no—
639C42×C73—22no—
640C23×C73—21no—
641C23×C73—21no—
642C23×C73—21no—
643C23×C73—21no—
644C23×C73—21no—
645C23×C73—21no—
646C23×C73—21no—
647C23×C73—21no—
648C23×C73—21no—
649C23×C73—21no—
650C23×C73—21no—
651C23×C73—21no—
652C23×C73—21no—
653C23×C73—21no—
654C23×C73—21no—
655C23×C73—21no—
656C23×C73—21no—
657C23×C73C22×D412yes—
658C23×C73C22×D412yes—
659C23×C73C2×#4112yes—
660C23×C73C2×#4112yes—
661C23×C73C2511yescharacteristic
662C22×D73—21no—
663C22×D73—21no—
664C22×D73—21no—
665C22×D73—21no—
666C22×D73—28no—
667C22×D73—28no—
668C22×D73—28no—
669C22×D73—28no—
670C22×D73—28no—
671C22×D73—28no—
672C22×D73—21no—
673C22×D73—21no—
674C22×D73—21no—
675C22×D73—21no—
676C22×D73—21no—
677C22×D73—21no—
678C22×D73—28no—
679C22×D73—28no—
680C22×D73—28no—
681C22×D73—21no—
682C22×D73—21no—
683C22×D73—21no—
684C22×D73—21no—
685C22×D73—21no—
686C22×D73—21no—
687C22×D73—21no—
688C22×D73—44no—
689C22×D73—44no—
690C22×D73—44no—
691C22×D73—44no—
692C22×D73—44no—
693C22×D73—44no—
694C22×D73—44no—
695C22×D73—44no—
696C22×D73—44no—
697C22×D73—44no—
698C22×D73—44no—
699C22×D73#123116yes—
700C22×D73C22×D412yes—
701C22×D73C22×D412yes—
702C22×D73C22×D412yes—
703C22×D73C2×#4112yes—
704C22×D73C2×#4112yes—
705C22×D73C2×#4112yes—
706C22×D73C2×#4112yes—
707C22×D73C2×#4112yes—
708C22×D73C2×#4112yes—
709C22×D73H(5,𝔽2)12yes—
710C22×D73H(5,𝔽2)12yes—
711D4×C73—28no—
712D4×C73—44no—
713D4×C73—44no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—44no—
748C2×C4×C73—44no—
749C2×C4×C73—44no—
750C2×C4×C73—44no—
751C2×C4×C73C22×D412yes—
752C2×C4×C73C2×#4112yes—
753C2×C4×C73C2×#4112yes—
754C22⋊D73—28no—
755C22⋊D73—28no—
756C22⋊D73—44no—
757C22⋊D73—44no—
758C22⋊D73—44no—
759C22⋊D73—44no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—21no—
772C2×Dic73—21no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—21no—
782C2×Dic73—21no—
783C2×Dic73—21no—
784C2×Dic73—21no—
785C2×Dic73—21no—
786C2×Dic73—21no—
787C2×Dic73—21no—
788C2×Dic73—21no—
789C2×Dic73—21no—
790C2×Dic73—21no—
791C2×Dic73—21no—
792C2×Dic73—21no—
793C2×Dic73—44no—
794C2×Dic73—44no—
795C2×Dic73—44no—
796C2×Dic73—44no—
797C2×Dic73C22×D412yes—
798C2×Dic73C2×#4112yes—
799C2×Dic73C2×#4112yes—
800D292—28no—
801D292—44no—
802D292—44no—
803C4×D73—28no—
804C4×D73—28no—
805C4×D73—28no—
806C4×D73—44no—
807C4×D73—44no—
808C4×D73—44no—
809C4×D73—44no—
810C4×D73—44no—
811C4×D73—44no—
812C4×D73—44no—
813C4×D73—44no—
814C4×D73—44no—
815C4×D73—44no—
816C4×D73—44no—
817C4×D73—44no—
818C4×D73—44no—
819C4×D73—44no—
820C4×D73—44no—
821C4×D73—44no—
822C4×D73—44no—
823C22×C73—22no—
824C22×C73—22no—
825C22×C73—22no—
826C22×C73—22no—
827C22×C73—22no—
828C22×C73—22no—
829C22×C73—22no—
830C22×C73—22no—
831C22×C73—22no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73C2×#12314yes—
844C22×C73C23×D411yescharacteristic
845C22×C73C22×#4111yescharacteristic
846C22×C73C22×#4111yescharacteristic
847C22×C73C22×#4111yescharacteristic
848C22×C73C22×#4111yescharacteristic
849C22×C73C2×H(5,𝔽2)11yescharacteristic
850C22×C73C2×H(5,𝔽2)11yescharacteristic
851C2×D73—22no—
852C2×D73—22no—
853C2×D73—22no—
854C2×D73—22no—
855C2×D73—22no—
856C2×D73—22no—
857C2×D73—232no—
858C2×D73—22no—
859C2×D73—22no—
860C2×D73—22no—
861C2×D73—41no—
862C2×D73—41no—
863C2×D73—41no—
864C2×D73—41no—
865C2×D73—416no—
866C2×D73—41no—
867C2×D73—41no—
868C2×D73—41no—
869C2×D73—41no—
870C2×D73—41no—
871C2×D73—41no—
872C2×D73—41no—
873C2×D73—88no—
874C2×D73C2×#12314yes—
875C2×D73C2×#12314yes—
876C2×D73#52914yes—
877C2×D73#53814yes—
878C2×D73#54614yes—
879C2×D73#54614yes—
880C2×D73#55314yes—
881C2×D73#55314yes—
882C4×C73—22no—
883C4×C73—22no—
884C4×C73—22no—
885C4×C73—41no—
886C4×C73—41no—
887C4×C73—41no—
888C4×C73—41no—
889C4×C73—41no—
890C4×C73—41no—
891C4×C73—41no—
892C4×C73—41no—
893C4×C73—41no—
894Dic73—22no—
895Dic73—22no—
896Dic73—22no—
897Dic73—41no—
898Dic73—41no—
899Dic73—41no—
900Dic73—41no—
901Dic73—41no—
902Dic73—41no—
903Dic73—41no—
904Dic73—41no—
905Dic73—41no—
906C2×#2444—731nomaximal, Sylow
907C2×C73—24no—
908C2×C73—42no—
909C2×C73—81no—
910C2×C73C22×#12311yescharacteristic
911C2×C73C2×#52911yescharacteristic
912C2×C73C2×#53811yescharacteristic
913C2×C73C2×#54611yescharacteristic
914C2×C73C2×#54611yescharacteristic
915C2×C73C2×#55311yescharacteristic
916C2×C73C2×#55311yescharacteristic
917D73—24no—
918D73—42no—
919D73—81no—
920D73#244418yesdirect product factor
921C22×#121—731no—
922C22×C4×D4—731no—
923#2444—731no—
924#2444—731no—
925#2444—731no—
926#2444—731no—
927#2444—731no—
928#2444—731no—
929#2444—731no—
930#2444—731no—
931#2444—731no—
932#2444—731no—
933#2444—731no—
934#2444—731no—
935#2444—731no—
936#2444—731no—
937#2444—731no—
938#2444D7311yescharacteristic, direct product factor
939C2×#400—731no—
940C2×#397—731no—
941C2×#397—731no—
942C2×#394—731no—
943C2×#388—731no—
944C2×#387—731no—
945C2×#386—731no—
946C2×#386—731no—
947C2×#386—731no—
948C2×#386—731no—
949C2×#385—731no—
950C2×#381—731no—
951C22×#95—731no—
952C73C2×#244411yescharacteristic, complemented, Sylow
953C23×D4—731no—
954C23×D4—731no—
955C23×D4—731no—
956C24×C4—731no—
957C24×C4—731no—
958C24×C4—731no—
959C24×C4—731no—
960C2×#121—731no—
961C2×#121—731no—
962C2×#121—731no—
963C2×#121—731no—
964C2×#121—731no—
965C2×#121—731no—
966C2×#121—731no—
967C2×#121—1468no—
968C2×#121C2×D7311yescharacteristic
969C2×C4×D4—731no—
970C2×C4×D4—731no—
971C2×C4×D4—731no—
972C2×C4×D4—731no—
973C2×C4×D4—731no—
974C2×C4×D4—731no—
975C2×C4×D4—731no—
976C2×C4×D4—1468no—
977C2×C4×D4C2×D7311yescharacteristic, complemented
978C22×C4⋊C4—731no—
979C22×C4⋊C4—731no—
980C22×C4⋊C4—731no—
981C22×C4⋊C4—731no—
982C22×C22⋊C4—731no—
983C22×C22⋊C4—731no—
984C22×C22⋊C4—731no—
985C22×C22⋊C4—731no—
986C22×C22⋊C4—731no—
987C22×C22⋊C4—731no—
988C22×C22⋊C4—731no—
989C22×C22⋊C4—731no—
990C22×C22⋊C4—731no—
991C22×C22⋊C4—731no—
992C22×C22⋊C4—731no—
993C22×C42—731no—
994#400—731no—
995#400—731no—
996#400—731no—
997#400—731no—
998#400—731no—
999#400—731no—
1000#400—731no—
1001#400C2×D7311yescharacteristic, complemented
1002#397—731no—
1003#397—731no—
1004#397—731no—
1005#397—731no—
1006#397—731no—
1007#397—731no—
1008#397—731no—
1009#397—731no—
1010#397—731no—
1011#397—731no—
1012#397—731no—
1013#397—731no—
1014#397—731no—
1015#397—731no—
1016#397C2×D7311yescharacteristic, complemented
1017#397C2×D7311yescharacteristic, complemented
1018#394—731no—
1019#394—731no—
1020#394—731no—
1021#394—731no—
1022#394—731no—
1023#394—731no—
1024#394—731no—
1025#394C2×D7311yescharacteristic, complemented
1026#388—731no—
1027#388—731no—
1028#388—731no—
1029#388—731no—
1030#388—731no—
1031#388—731no—
1032#388—731no—
1033#388C2×D7311yescharacteristic, complemented
1034#387—731no—
1035#387—731no—
1036#387—731no—
1037#387—731no—
1038#387—731no—
1039#387—731no—
1040#387—731no—
1041#387C2×D7311yescharacteristic, complemented
1042#386—731no—
1043#386—731no—
1044#386—731no—
1045#386—731no—
1046#386—731no—
1047#386—731no—
1048#386—731no—
1049#386—731no—
1050#386—731no—
1051#386—731no—
1052#386—731no—
1053#386—731no—
1054#386—731no—
1055#386—731no—
1056#386—731no—
1057#386—731no—
1058#386—731no—
1059#386—731no—
1060#386—731no—
1061#386—731no—
1062#386—731no—
1063#386—731no—
1064#386—731no—
1065#386—731no—
1066#386—731no—
1067#386—731no—
1068#386—731no—
1069#386—731no—
1070#386C2×D7311yescharacteristic, complemented
1071#386C2×D7311yescharacteristic, complemented
1072#386C2×D7311yescharacteristic, complemented
1073#386C2×D7311yescharacteristic, complemented
1074#385—731no—
1075#385—731no—
1076#385—731no—
1077#385—731no—
1078#385—731no—
1079#385—731no—
1080#385—731no—
1081#385C2×D7311yescharacteristic, complemented
1082#381—731no—
1083#381—731no—
1084#381—731no—
1085#381—731no—
1086#381—731no—
1087#381—731no—
1088#381—731no—
1089#381C2×D7311yescharacteristic, complemented
1090C2×#95—731no—
1091C2×#95—731no—
1092C2×#95—731no—
1093C2×#95—731no—
1094C2×#95—731no—
1095C2×#95—731no—
1096C2×#95—731no—
1097C2×#95—731no—
1098C2×#95—731no—
1099C2×#95—731no—
1100C2×#95—731no—
1101C2×#95—731no—
1102C2×#95—731no—
1103C2×#95—731no—
1104C2×#95—731no—
1105C2×#95—731no—
1106C2×#95—731no—
1107C2×#95—731no—
1108C2×#95—731no—
1109C2×#95C2×D7311yescharacteristic, complemented
1110C25—731no—
1111C25—731no—
1112C25—731no—
1113C22×D4—2922no—
1114C22×D4—731no—
1115C22×D4—731no—
1116C22×D4—731no—
1117C22×D4—731no—
1118C22×D4—738no—
1119C22×D4—731no—
1120C22×D4—731no—
1121C22×D4—731no—
1122C22×D4—731no—
1123C22×D4—731no—
1124C22×D4—1464no—
1125C22×D4—1464no—
1126C22×D4—1464no—
1127C22×D4—1464no—
1128C22×D4—1464no—
1129C22×D4—1464no—
1130C22×D4—1464no—
1131C22×D4C22×D7311yescharacteristic
1132C22×D4C22×D7311yescharacteristic
1133C22×D4C22×D7311yescharacteristic
1134C23×C4—2922no—
1135C23×C4—2922no—
1136C23×C4—2922no—
1137C23×C4—2922no—
1138C23×C4—2922no—
1139C23×C4—731no—
1140C23×C4—731no—
1141C23×C4—731no—
1142C23×C4—731no—
1143C23×C4—731no—
1144C23×C4—731no—
1145C23×C4—731no—
1146C23×C4—731no—
1147C23×C4—731no—
1148C23×C4—731no—
1149C23×C4—731no—
1150C23×C4—731no—
1151C23×C4—731no—
1152C23×C4—731no—
1153C23×C4—731no—
1154C23×C4—731no—
1155C23×C4—731no—
1156C23×C4—731no—
1157C23×C4—731no—
1158C23×C4—731no—
1159C23×C4—731no—
1160C23×C4—731no—
1161C23×C4—731no—
1162C23×C4—731no—
1163C23×C4—1464no—
1164C23×C4—1464no—
1165C23×C4—1464no—
1166C23×C4—1464no—
1167C23×C4—1464no—
1168C23×C4—1464no—
1169C23×C4—1464no—
1170C23×C4C22×D7311yescharacteristic
1171C23×C4C22×D7311yescharacteristic
1172C23×C4C22×D7311yescharacteristic
1173C23×C4C22×D7311yescharacteristic
1174#121—24no—
1175#121—1464no—
1176#121—1464no—
1177#121—1464no—
1178#121—1464no—
1179#121—1464no—
1180#121—1464no—
1181#121—1464no—
1182C4×D4—24no—
1183C4×D4—1464no—
1184C4×D4—1464no—
1185C4×D4—1464no—
1186C4×D4—1464no—
1187C4×D4—1464no—
1188C4×D4—1464no—
1189C4×D4—1464no—
1190C2×C4⋊C4—2922no—
1191C2×C4⋊C4—731no—
1192C2×C4⋊C4—731no—
1193C2×C4⋊C4—731no—
1194C2×C4⋊C4—731no—
1195C2×C4⋊C4—731no—
1196C2×C4⋊C4—731no—
1197C2×C4⋊C4—731no—
1198C2×C4⋊C4—731no—
1199C2×C4⋊C4—731no—
1200C2×C4⋊C4—731no—
1201C2×C4⋊C4—731no—
1202C2×C4⋊C4—731no—
1203C2×C4⋊C4—1464no—
1204C2×C4⋊C4—1464no—
1205C2×C4⋊C4—1464no—
1206C2×C4⋊C4C22×D7311yescharacteristic
1207C2×C4⋊C4C22×D7311yescharacteristic
1208C2×C4⋊C4C22×D7311yescharacteristic
1209C2×C4⋊C4C22×D7311yescharacteristic
1210C2×C22⋊C4—2922no—
1211C2×C22⋊C4—2922no—
1212C2×C22⋊C4—2922no—
1213C2×C22⋊C4—2922no—
1214C2×C22⋊C4—2922no—
1215C2×C22⋊C4—731no—
1216C2×C22⋊C4—731no—
1217C2×C22⋊C4—731no—
1218C2×C22⋊C4—731no—
1219C2×C22⋊C4—731no—
1220C2×C22⋊C4—731no—
1221C2×C22⋊C4—731no—
1222C2×C22⋊C4—731no—
1223C2×C22⋊C4—731no—
1224C2×C22⋊C4—731no—
1225C2×C22⋊C4—731no—
1226C2×C22⋊C4—731no—
1227C2×C22⋊C4—731no—
1228C2×C22⋊C4—731no—
1229C2×C22⋊C4—731no—
1230C2×C22⋊C4—731no—
1231C2×C22⋊C4—731no—
1232C2×C22⋊C4—731no—
1233C2×C22⋊C4—731no—
1234C2×C22⋊C4—731no—
1235C2×C22⋊C4—731no—
1236C2×C22⋊C4—731no—
1237C2×C22⋊C4—731no—
1238C2×C22⋊C4—731no—
1239C2×C22⋊C4—731no—
1240C2×C22⋊C4—731no—
1241C2×C22⋊C4—731no—
1242C2×C22⋊C4—731no—
1243C2×C22⋊C4—731no—
1244C2×C22⋊C4—731no—
1245C2×C22⋊C4—731no—
1246C2×C22⋊C4—731no—
1247C2×C22⋊C4—731no—
1248C2×C22⋊C4—1464no—
1249C2×C22⋊C4—1464no—
1250C2×C22⋊C4—1464no—
1251C2×C22⋊C4—1464no—
1252C2×C22⋊C4—1464no—
1253C2×C22⋊C4—1464no—
1254C2×C22⋊C4C22×D7311yescharacteristic
1255C2×C22⋊C4C22×D7311yescharacteristic
1256C2×C22⋊C4C22×D7311yescharacteristic
1257C2×C22⋊C4C22×D7311yescharacteristic
1258C2×C22⋊C4C22×D7311yescharacteristic
1259C2×C22⋊C4C22×D7311yescharacteristic
1260C2×C22⋊C4C22×D7311yescharacteristic
1261C2×C22⋊C4C22×D7311yescharacteristic
1262C2×C22⋊C4C22×D7311yescharacteristic
1263C2×C22⋊C4C22×D7311yescharacteristic
1264C2×C22⋊C4C22×D7311yescharacteristic
1265C2×C42—731no—
1266C2×C42—731no—
1267C2×C42—731no—
1268C2×C42—1464no—
1269C2×C42C22×D7311yescharacteristic
1270#95—731no—
1271#95—731no—
1272#95—731no—
1273#95—731no—
1274#95—731no—
1275#95—731no—
1276#95—731no—
1277#95—731no—
1278#95—731no—
1279#95—731no—
1280#95—731no—
1281#95—731no—
1282#95—731no—
1283#95—731no—
1284#95—731no—
1285#95—731no—
1286#95—731no—
1287#95—731no—
1288#95—731no—
1289#95—731no—
1290#95—731no—
1291#95—731no—
1292#95—731no—
1293#95—731no—
1294#95—731no—
1295#95—731no—
1296#95—731no—
1297#95—731no—
1298#95—731no—
1299#95—731no—
1300#95—731no—
1301#95—731no—
1302#95—731no—
1303#95—731no—
1304#95—731no—
1305#95—731no—
1306#95C22×D7311yescharacteristic
1307#95C22×D7311yescharacteristic
1308#95C22×D7311yescharacteristic
1309#95C22×D7311yescharacteristic
1310#95C22×D7311yescharacteristic
1311#95C22×D7311yescharacteristic
1312#95C22×D7311yescharacteristic
1313#95C22×D7311yescharacteristic
1314#95C22×D7311yescharacteristic
1315#95C22×D7311yescharacteristic
1316#95C22×D7311yescharacteristic
1317#95C22×D7311yescharacteristic
1318C24—731no—
1319C24—734no—
1320C24—734no—
1321C24—734no—
1322C24—731no—
1323C24—734no—
1324C24—731no—
1325C24—731no—
1326C24—1462no—
1327C24—1462no—
1328C24—1462no—
1329C24—1462no—
1330C24—1462no—
1331C24—1462no—
1332C24—1462no—
1333C24—1462no—
1334C24—1462no—
1335C24—1462no—
1336C24—1462no—
1337C24—1462no—
1338C24—1462no—
1339C24—1462no—
1340C24—1462no—
1341C24—1462no—
1342C24—1462no—
1343C24C23×D7311yescharacteristic
1344C24C23×D7311yescharacteristic
1345C24C23×D7311yescharacteristic
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—22no—
1353C2×D4—41no—
1354C2×D4—2921no—
1355C2×D4—29216no—
1356C2×D4—29216no—
1357C2×D4—2921no—
1358C2×D4—2921no—
1359C2×D4—734no—
1360C2×D4—734no—
1361C2×D4—734no—
1362C2×D4—1462no—
1363C2×D4—1462no—
1364C2×D4—1462no—
1365C2×D4—1462no—
1366C2×D4—1462no—
1367C2×D4—1462no—
1368C2×D4—1462no—
1369C2×D4—1462no—
1370C2×D4—14632no—
1371C2×D4—1462no—
1372C2×D4—1462no—
1373C2×D4—1462no—
1374C2×D4—1462no—
1375C2×D4—1462no—
1376C2×D4—1462no—
1377C2×D4—1462no—
1378C2×D4—1462no—
1379C2×D4—1462no—
1380C2×D4—1462no—
1381C2×D4—1462no—
1382C2×D4—1462no—
1383C2×D4—1462no—
1384C2×D4D4×D7314yes—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—2921no—
1398C22×C4—2921no—
1399C22×C4—2921no—
1400C22×C4—2921no—
1401C22×C4—2921no—
1402C22×C4—2921no—
1403C22×C4—2921no—
1404C22×C4—2921no—
1405C22×C4—2921no—
1406C22×C4—2921no—
1407C22×C4—29216no—
1408C22×C4—29216no—
1409C22×C4—29216no—
1410C22×C4—29216no—
1411C22×C4—2921no—
1412C22×C4—2921no—
1413C22×C4—2921no—
1414C22×C4—2921no—
1415C22×C4—2921no—
1416C22×C4—731no—
1417C22×C4—731no—
1418C22×C4—731no—
1419C22×C4—734no—
1420C22×C4—734no—
1421C22×C4—734no—
1422C22×C4—731no—
1423C22×C4—731no—
1424C22×C4—731no—
1425C22×C4—731no—
1426C22×C4—731no—
1427C22×C4—731no—
1428C22×C4—731no—
1429C22×C4—731no—
1430C22×C4—731no—
1431C22×C4—1462no—
1432C22×C4—1462no—
1433C22×C4—1462no—
1434C22×C4—1462no—
1435C22×C4—1462no—
1436C22×C4—1462no—
1437C22×C4—1462no—
1438C22×C4—1462no—
1439C22×C4—1462no—
1440C22×C4—1462no—
1441C22×C4—1462no—
1442C22×C4—1462no—
1443C22×C4—1462no—
1444C22×C4—1462no—
1445C22×C4—1462no—
1446C22×C4—1462no—
1447C22×C4—1462no—
1448C22×C4—1462no—
1449C22×C4—1462no—
1450C22×C4—1462no—
1451C22×C4—1462no—
1452C22×C4—1462no—
1453C22×C4—1462no—
1454C22×C4—1462no—
1455C22×C4—1462no—
1456C22×C4—1462no—
1457C22×C4—1462no—
1458C22×C4—1462no—
1459C22×C4—1462no—
1460C22×C4—1462no—
1461C22×C4—1462no—
1462C22×C4—1462no—
1463C22×C4—1462no—
1464C22×C4—1462no—
1465C22×C4—1462no—
1466C22×C4—1462no—
1467C22×C4—1462no—
1468C22×C4—1462no—
1469C22×C4—1462no—
1470C22×C4—1462no—
1471C22×C4—1462no—
1472C22×C4—1462no—
1473C22×C4—1462no—
1474C22×C4—1462no—
1475C22×C4—1462no—
1476C22×C4—1462no—
1477C22×C4—1462no—
1478C22×C4—1462no—
1479C22×C4—1462no—
1480C22×C4—1462no—
1481C22×C4—1462no—
1482C22×C4—1462no—
1483C22×C4—1462no—
1484C22×C4—1462no—
1485C22×C4C23×D7311yescharacteristic
1486C22×C4C23×D7311yescharacteristic
1487C22×C4C23×D7311yescharacteristic
1488C22×C4C23×D7311yescharacteristic
1489C22×C4C23×D7311yescharacteristic
1490C22×C4C23×D7311yescharacteristic
1491C22×C4C23×D7311yescharacteristic
1492C22×C4C23×D7311yescharacteristic
1493C22×C4C23×D7311yescharacteristic
1494C22×C4C23×D7311yescharacteristic
1495C22×C4C23×D7311yescharacteristic
1496C22×C4C23×D7311yescharacteristic
1497C4⋊C4—22no—
1498C4⋊C4—22no—
1499C4⋊C4—22no—
1500C4⋊C4—41no—
1501C4⋊C4—2921no—
1502C4⋊C4—2921no—
1503C4⋊C4—2921no—
1504C4⋊C4—1462no—
1505C4⋊C4—1462no—
1506C4⋊C4—1462no—
1507C4⋊C4—1462no—
1508C4⋊C4—1462no—
1509C4⋊C4—1462no—
1510C4⋊C4—1462no—
1511C4⋊C4—1462no—
1512C4⋊C4—1462no—
1513C22⋊C4—22no—
1514C22⋊C4—22no—
1515C22⋊C4—22no—
1516C22⋊C4—22no—
1517C22⋊C4—22no—
1518C22⋊C4—22no—
1519C22⋊C4—41no—
1520C22⋊C4—41no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—2921no—
1525C22⋊C4—2921no—
1526C22⋊C4—2921no—
1527C22⋊C4—2921no—
1528C22⋊C4—2921no—
1529C22⋊C4—2921no—
1530C22⋊C4—2921no—
1531C22⋊C4—2921no—
1532C22⋊C4—2921no—
1533C22⋊C4—2921no—
1534C22⋊C4—2921no—
1535C22⋊C4—2921no—
1536C22⋊C4—2921no—
1537C22⋊C4—2921no—
1538C22⋊C4—2921no—
1539C22⋊C4—1462no—
1540C22⋊C4—1462no—
1541C22⋊C4—1462no—
1542C22⋊C4—1462no—
1543C22⋊C4—1462no—
1544C22⋊C4—1462no—
1545C22⋊C4—1462no—
1546C22⋊C4—1462no—
1547C22⋊C4—1462no—
1548C22⋊C4—1462no—
1549C22⋊C4—1462no—
1550C22⋊C4—1462no—
1551C22⋊C4—1462no—
1552C22⋊C4—1462no—
1553C22⋊C4—1462no—
1554C22⋊C4—1462no—
1555C22⋊C4—1462no—
1556C22⋊C4—1462no—
1557C42—22no—
1558C42—1462no—
1559C42—1462no—
1560C42—1462no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—2924no—
1579C23—2924no—
1580C23—2924no—
1581C23—2924no—
1582C23—2924no—
1583C23—2924no—
1584C23—2924no—
1585C23—2924no—
1586C23—2924no—
1587C23—2924no—
1588C23—2924no—
1589C23—732no—
1590C23—732no—
1591C23—732no—
1592C23—732no—
1593C23—732no—
1594C23—732no—
1595C23—732no—
1596C23—732no—
1597C23—732no—
1598C23—732no—
1599C23—7316no—
1600C23—732no—
1601C23—1468no—
1602C23—1468no—
1603C23—1468no—
1604C23—1468no—
1605C23—1468no—
1606C23—1468no—
1607C23—1468no—
1608C23—1468no—
1609C23—1468no—
1610C23—1461no—
1611C23—1461no—
1612C23—1461no—
1613C23—1461no—
1614C23—1461no—
1615C23—1461no—
1616C23—1461no—
1617C23—1461no—
1618C23—1461no—
1619C23—1461no—
1620C23—1461no—
1621C23—1461no—
1622C23—1461no—
1623C23—1461no—
1624C23—1461no—
1625C23—1461no—
1626C23—1461no—
1627C23C2×D4×D7312yes—
1628C23C2×D4×D7312yes—
1629C23#41×D7312yes—
1630C23#41×D7312yes—
1631C23C24×D7311yescharacteristic
1632D4—28no—
1633D4—44no—
1634D4—44no—
1635D4—2924no—
1636D4—2924no—
1637D4—2924no—
1638D4—2924no—
1639D4—2924no—
1640D4—2924no—
1641D4—1468no—
1642D4—1468no—
1643D4—1468no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—44no—
1678C2×C4—44no—
1679C2×C4—44no—
1680C2×C4—44no—
1681C2×C4—2924no—
1682C2×C4—2924no—
1683C2×C4—2924no—
1684C2×C4—2924no—
1685C2×C4—2924no—
1686C2×C4—2924no—
1687C2×C4—2924no—
1688C2×C4—2924no—
1689C2×C4—2924no—
1690C2×C4—2924no—
1691C2×C4—2924no—
1692C2×C4—2924no—
1693C2×C4—2924no—
1694C2×C4—2924no—
1695C2×C4—2924no—
1696C2×C4—2924no—
1697C2×C4—2924no—
1698C2×C4—2924no—
1699C2×C4—2924no—
1700C2×C4—2924no—
1701C2×C4—2924no—
1702C2×C4—732no—
1703C2×C4—732no—
1704C2×C4—732no—
1705C2×C4—1468no—
1706C2×C4—1468no—
1707C2×C4—1468no—
1708C2×C4—1461no—
1709C2×C4—1461no—
1710C2×C4—1461no—
1711C2×C4—1461no—
1712C2×C4—1461no—
1713C2×C4—1461no—
1714C2×C4—1461no—
1715C2×C4—1461no—
1716C2×C4—1461no—
1717C2×C4—1461no—
1718C2×C4—1461no—
1719C2×C4—1461no—
1720C2×C4—1461no—
1721C2×C4—1461no—
1722C2×C4—1461no—
1723C2×C4—1461no—
1724C2×C4—1461no—
1725C2×C4—1461no—
1726C2×C4—1461no—
1727C2×C4—1461no—
1728C2×C4—1461no—
1729C2×C4—1461no—
1730C2×C4—1461no—
1731C2×C4—1461no—
1732C2×C4—1461no—
1733C2×C4—1461no—
1734C2×C4—1461no—
1735C2×C4—1461no—
1736C2×C4—1461no—
1737C2×C4—1461no—
1738C2×C4—1461no—
1739C2×C4—1461no—
1740C2×C4—1461no—
1741C2×C4C2×D4×D7312yes—
1742C2×C4#41×D7312yes—
1743C2×C4#41×D7312yes—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—22no—
1751C22—22no—
1752C22—22no—
1753C22—41no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—29216no—
1765C22—2921no—
1766C22—2921no—
1767C22—2921no—
1768C22—2921no—
1769C22—2921no—
1770C22—2921no—
1771C22—2921no—
1772C22—2921no—
1773C22—2921no—
1774C22—2921no—
1775C22—2921no—
1776C22—5848no—
1777C22—734no—
1778C22—734no—
1779C22—734no—
1780C22—734no—
1781C22—734no—
1782C22—734no—
1783C22—734no—
1784C22—734no—
1785C22—14632no—
1786C22—1462no—
1787C22—1462no—
1788C22—1462no—
1789C22—1462no—
1790C22—1462no—
1791C22—1462no—
1792C22—1462no—
1793C22—1462no—
1794C22—1462no—
1795C22#123×D7314yes—
1796C22C22×D4×D7311yescharacteristic
1797C22C2×#41×D7311yescharacteristic
1798C22C2×#41×D7311yescharacteristic
1799C22C2×#41×D7311yescharacteristic
1800C22C2×#41×D7311yescharacteristic
1801C22H(5,𝔽2)×D7311yescharacteristic
1802C22H(5,𝔽2)×D7311yescharacteristic
1803C4—22no—
1804C4—22no—
1805C4—22no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—2921no—
1816C4—2921no—
1817C4—2921no—
1818C4—2921no—
1819C4—2921no—
1820C4—2921no—
1821C4—2921no—
1822C4—2921no—
1823C4—2921no—
1824C4—1462no—
1825C4—1462no—
1826C4—1462no—
1827C2—24no—
1828C2—42no—
1829C2—81no—
1830C2—2922no—
1831C2—5841no—
1832C2—738no—
1833C2—1464no—
1834C2C2×#123×D7311yescharacteristic
1835C2#529×D7311yescharacteristic
1836C2#538×D7311yescharacteristic
1837C2#546×D7311yescharacteristic
1838C2#546×D7311yescharacteristic
1839C2#553×D7311yescharacteristic
1840C2#553×D7311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2444C2
prime radicalC2×#121×D73C2
hypercenter#2444D73
hypocenterC73C2×#2444
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2444

Complements

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

NH ≅ G/Ntype
2. C2×C4×D4×D73C2semidirect
3. #22613688C2semidirect
4. #22613687C2semidirect
5. #22613686C2semidirect
6. #22613685C2semidirect
7. #22613684C2semidirect
8. #22613683C2semidirect
9. #22613682C2semidirect
10. #22613681C2semidirect
11. #22613680C2semidirect
12. #22613679C2semidirect
13. #22613678C2semidirect
14. #22613677C2semidirect
15. #22613676C2semidirect
16. #22613675C2semidirect
17. #22613674C2semidirect
18. #400×D73C2semidirect
19. #397×D73C2semidirect
20. #397×D73C2semidirect
21. #394×D73C2semidirect
22. #388×D73C2semidirect
23. #387×D73C2semidirect
24. #386×D73C2semidirect
25. #386×D73C2semidirect
26. #386×D73C2semidirect
27. #386×D73C2semidirect
28. #385×D73C2semidirect
29. #381×D73C2semidirect
30. C2×#95×D73C2semidirect
31. C73×#2444C2semidirect
47. C2×C4×D292C22semidirect
48. C2×D4×Dic73C22semidirect
49. C2×#14556553C22semidirect
50. C2×C4×C22⋊D73C22semidirect
51. C2×C4×C22⋊D73C22semidirect
52. C2×#14556551C22semidirect
53. C2×#14556551C22semidirect
71. #17988529C22semidirect
72. #17988529C22semidirect
73. #17988528C22semidirect
74. #17988528C22semidirect
75. #17988527C22semidirect
76. #17988526C22semidirect
77. #17988525C22semidirect
78. #17988516C22semidirect
79. #17988516C22semidirect
80. #17988516C22semidirect
81. #17988516C22semidirect
82. #17988515C22semidirect
83. #17988515C22semidirect
84. #17988515C22semidirect
85. #17988515C22semidirect
86. #17988514C22semidirect
87. #17988514C22semidirect
88. #17988513C22semidirect
89. #17988513C22semidirect
90. #17988512C22semidirect
91. #17988512C22semidirect
92. #17988505C22semidirect
93. #17988504C22semidirect
94. #17988503C22semidirect
95. #17988503C22semidirect
96. #17988502C22semidirect
97. #17988502C22semidirect
98. #17988501C22semidirect
99. #17988481C22semidirect
100. #17988480C22semidirect
101. #17988479C22semidirect
102. #17988478C22semidirect
103. #17988477C22semidirect
104. #17988476C22semidirect
105. #17988475C22semidirect
106. #17988474C22semidirect
107. #17988473C22semidirect
108. #17988472C22semidirect
109. #17988471C22semidirect
110. #17988470C22semidirect
111. #17988469C22semidirect
112. #17988468C22semidirect
113. #17988467C22semidirect
114. #17988467C22semidirect
115. #17988467C22semidirect
116. #17988467C22semidirect
117. #17988466C22semidirect
118. #17988466C22semidirect
119. #17988466C22semidirect
120. #17988466C22semidirect
121. #17988465C22semidirect
122. #17988465C22semidirect
123. #17988465C22semidirect
124. #17988465C22semidirect
125. #17988465C22semidirect
126. #17988465C22semidirect
127. #17988465C22semidirect
128. #17988465C22semidirect
129. #17988464C22semidirect
130. #17988464C22semidirect
131. #17988464C22semidirect
132. #17988464C22semidirect
133. #17988463C22semidirect
134. #17988463C22semidirect
135. #17988463C22semidirect
136. #17988463C22semidirect
137. #17988463C22semidirect
138. #17988463C22semidirect
139. #17988463C22semidirect
140. #17988463C22semidirect
141. #17988462C22semidirect
142. #17988461C22semidirect
143. #17988461C22semidirect
144. #17988460C22semidirect
145. #17988459C22semidirect
146. #17988458C22semidirect
147. #17988458C22semidirect
148. #17988450C22semidirect
149. #17988449C22semidirect
150. #17988449C22semidirect
151. #17988449C22semidirect
152. #17988449C22semidirect
153. #17988448C22semidirect
154. #17988448C22semidirect
155. C2×#14556498C22semidirect
156. C2×#14556498C22semidirect
157. C2×#14556498C22semidirect
170. #95×D73C22semidirect
171. #95×D73C22semidirect
172. #95×D73C22semidirect
173. #95×D73C22semidirect
175. C2×C4×D4×C73C22semidirect
176. #400×C73C22semidirect
177. #397×C73C22semidirect
178. #397×C73C22semidirect
179. #394×C73C22semidirect
180. #388×C73C22semidirect
181. #387×C73C22semidirect
182. #386×C73C22semidirect
183. #386×C73C22semidirect
184. #386×C73C22semidirect
185. #386×C73C22semidirect
186. #385×C73C22semidirect
187. #381×C73C22semidirect
188. C2×#95×C73C22semidirect
920. D73#2444direct (N × H)
938. #2444D73direct (N × H)
952. C73C2×#2444semidirect
977. C2×C4×D4C2×D73semidirect
1001. #400C2×D73semidirect
1016. #397C2×D73semidirect
1017. #397C2×D73semidirect
1025. #394C2×D73semidirect
1033. #388C2×D73semidirect
1041. #387C2×D73semidirect
1070. #386C2×D73semidirect
1071. #386C2×D73semidirect
1072. #386C2×D73semidirect
1073. #386C2×D73semidirect
1081. #385C2×D73semidirect
1089. #381C2×D73semidirect
1109. C2×#95C2×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#121×D732
C2×C4×D4×D732
#226136882
#226136872
#226136862
#226136852
#226136842
#226136832
#226136822
#226136812
#226136802
#226136792
#226136782
#226136772
#226136762
#226136752
#226136742
#400×D732
#397×D732
#394×D732
#388×D732
#387×D732
#386×D732
#385×D732
#381×D732
C2×#95×D732
C73×#24442
C2×#244473