Finite Group Databasebeta

← #33254157

Subgroups — #33254157

Order 18688.

2992 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989120C211yesmaximal, characteristic, complemented
2C2×C4×D4×D73C211yesmaximal, characteristic, complemented
3#22614181C211yesmaximal, characteristic, complemented
4#22614173C211yesmaximal, characteristic, complemented
5#22613997C211yesmaximal, characteristic, complemented
6#22613840C211yesmaximal, characteristic, complemented
7#22613832C211yesmaximal, characteristic, complemented
8#22613800C211yesmaximal, characteristic, complemented
9#22613715C211yesmaximal, characteristic, complemented
10#22613650C211yesmaximal, characteristic, complemented
11#22613577C211yesmaximal, characteristic, complemented
12#22613507C211yesmaximal, characteristic, complemented
13#22613422C211yesmaximal, characteristic, complemented
14#22613400C211yesmaximal, characteristic, complemented
15#22613398C211yesmaximal, characteristic, complemented
16#22613377C211yesmaximal, characteristic, complemented
17#22613282C211yesmaximal, characteristic
18#22613195C211yesmaximal, characteristic, complemented
19#22613187C211yesmaximal, characteristic, complemented
20#22613174C211yesmaximal, characteristic, complemented
21#22613172C211yesmaximal, characteristic, complemented
22#22612472C211yesmaximal, characteristic, complemented
23#22612465C211yesmaximal, characteristic, complemented
24#22612443C211yesmaximal, characteristic, complemented
25#22612432C211yesmaximal, characteristic, complemented
26#22612432C211yesmaximal, characteristic, complemented
27#22612391C211yesmaximal, characteristic, complemented
28#22612313C211yesmaximal, characteristic, complemented
29#22612311C211yesmaximal, characteristic, complemented
30C4×#14556553C211yesmaximal, characteristic, complemented
31C73×#2468C211yesmaximal, characteristic, complemented
32C22×D4×D73C2211yescharacteristic
33C23×C4×D73C2211yescharacteristic
34C23×C4×D73C2211yescharacteristic
35#17989120—28no—
36C2×#14556585C2211yescharacteristic, complemented
37C2×#14556581C2211yescharacteristic, complemented
38C2×#14556577C2211yescharacteristic
39C2×#14556577C2211yescharacteristic
40C2×#14556576C2211yescharacteristic, complemented
41C2×#14556573C2211yescharacteristic, complemented
42C2×#14556569C2211yescharacteristic
43C2×#14556569C2211yescharacteristic, complemented
44C2×#14556564C2211yescharacteristic
45C2×#14556564C2211yescharacteristic
46C2×#14556561C2211yescharacteristic
47C2×#14556561C2211yescharacteristic
48C2×#14556556C2211yescharacteristic, complemented
49C2×C4×D292C2211yescharacteristic
50C2×C4×D292C2211yescharacteristic
51C2×D4×Dic73C2211yescharacteristic
52C2×#14556553C2211yescharacteristic
53C2×#14556553C2211yescharacteristic
54C2×#14556553C2211yescharacteristic
55C2×#14556553C2211yescharacteristic, complemented
56C2×#14556553C2211yescharacteristic, complemented
57C2×C4×C22⋊D73C2211yescharacteristic
58C2×C4×C22⋊D73C2211yescharacteristic
59C2×#14556551C2211yescharacteristic
60C2×#14556551C2211yescharacteristic
61C2×#14556551C2211yescharacteristic, complemented
62C2×#14556551C2211yescharacteristic, complemented
63C4×D4×D73—28no—
64C2×#14556549C2211yescharacteristic, complemented
65C2×#14556549C2211yescharacteristic, complemented
66C2×#14556547C2211yescharacteristic, complemented
67C2×#14556547C2211yescharacteristic, complemented
68C2×C4⋊C4×D73C2211yescharacteristic
69C2×C22⋊C4×D73C2211yescharacteristic
70C2×C22⋊C4×D73C2211yescharacteristic
71C2×C42×D73C2211yescharacteristic
72C2×C42×D73C2211yescharacteristic, complemented
73#17988529C2211yescharacteristic, complemented
74#17988526C2211yescharacteristic, complemented
75#17988524C2211yescharacteristic, complemented
76#17988523C2211yescharacteristic, complemented
77#17988521C2211yescharacteristic, complemented
78#17988520C2211yescharacteristic, complemented
79#17988515C2211yescharacteristic, complemented
80#17988515C2211yescharacteristic, complemented
81#17988515C2211yescharacteristic, complemented
82#17988514C2211yescharacteristic, complemented
83#17988514C2211yescharacteristic, complemented
84#17988513C2211yescharacteristic, complemented
85#17988513C2211yescharacteristic, complemented
86#17988512C2211yescharacteristic, complemented
87#17988510C2211yescharacteristic, complemented
88#17988509C2211yescharacteristic, complemented
89#17988509C2211yescharacteristic, complemented
90#17988509C2211yescharacteristic, complemented
91#17988505C2211yescharacteristic
92#17988505C2211yescharacteristic, complemented
93#17988504C2211yescharacteristic
94#17988504C2211yescharacteristic
95#17988504C2211yescharacteristic, complemented
96#17988503C2211yescharacteristic, complemented
97#17988502C2211yescharacteristic, complemented
98#17988501C2211yescharacteristic
99#17988497C2211yescharacteristic
100#17988495C2211yescharacteristic
101#17988491C2211yescharacteristic, complemented
102#17988491C2211yescharacteristic, complemented
103#17988487C2211yescharacteristic
104#17988487C2211yescharacteristic
105#17988487C2211yescharacteristic
106#17988487C2211yescharacteristic
107#17988484C2211yescharacteristic, complemented
108#17988484C2211yescharacteristic, complemented
109#17988482C2211yescharacteristic, complemented
110#17988482C2211yescharacteristic, complemented
111#17988481C2211yescharacteristic, complemented
112#17988480C2211yescharacteristic, complemented
113#17988478C2211yescharacteristic, complemented
114#17988478C2211yescharacteristic, complemented
115#17988478C2211yescharacteristic, complemented
116#17988477C2211yescharacteristic, complemented
117#17988476C2211yescharacteristic, complemented
118#17988471C2211yescharacteristic, complemented
119#17988466C2211yescharacteristic, complemented
120#17988466C2211yescharacteristic, complemented
121#17988465C2211yescharacteristic
122#17988465C2211yescharacteristic
123#17988465C2211yescharacteristic, complemented
124#17988465C2211yescharacteristic, complemented
125#17988465C2211yescharacteristic, complemented
126#17988463C2211yescharacteristic, complemented
127#17988461C2211yescharacteristic
128#17988458C2211yescharacteristic
129#17988458C2211yescharacteristic
130#17988458C2211yescharacteristic
131#17988458C2211yescharacteristic, complemented
132#17988458C2211yescharacteristic, complemented
133#17988451C2211yescharacteristic, complemented
134#17988450C2211yescharacteristic, complemented
135#17988449C2211yescharacteristic, complemented
136#17988449C2211yescharacteristic, complemented
137#17988447C2211yescharacteristic, complemented
138#17988446C2211yescharacteristic
139#17988446C2211yescharacteristic
140#17988446C2211yescharacteristic
141#17988446C2211yescharacteristic, complemented
142#17988446C2211yescharacteristic, complemented
143#17988446C2211yescharacteristic, complemented
144#17988444C2211yescharacteristic
145#17988444C2211yescharacteristic
146#17988442C2211yescharacteristic
147#17988442C2211yescharacteristic
148#17988442C2211yescharacteristic
149#17988442C2211yescharacteristic
150#17988442C2211yescharacteristic
151#17988442C2211yescharacteristic
152C4⋊C4×Dic73C2211yescharacteristic, complemented
153C4⋊C4×Dic73C2211yescharacteristic, complemented
154C4⋊C4×Dic73C2211yescharacteristic, complemented
155#17988438C2211yescharacteristic, complemented
156#17988438C2211yescharacteristic, complemented
157C22⋊C4×Dic73C2211yescharacteristic, complemented
158C22⋊C4×Dic73C2211yescharacteristic, complemented
159C22⋊C4×Dic73C2211yescharacteristic, complemented
160C22⋊C4×Dic73C2211yescharacteristic, complemented
161C4×#11924005C2211yescharacteristic
162C4×#11924005C2211yescharacteristic, complemented
163#17988434C2211yescharacteristic
164#17988434C2211yescharacteristic
165#17988434C2211yescharacteristic
166#17988434C2211yescharacteristic
167#17988434C2211yescharacteristic, complemented
168#17988434C2211yescharacteristic, complemented
169#17988434C2211yescharacteristic, complemented
170#17988434C2211yescharacteristic, complemented
171#17988434C2211yescharacteristic, complemented
172#17988434C2211yescharacteristic, complemented
173C42×Dic73C2211yescharacteristic, complemented
174C2×#126×C73C2211yescharacteristic, complemented
175C2×C4×D4×C73C2211yescharacteristic
176#398×C73C2211yescharacteristic, complemented
177#398×C73C2211yescharacteristic, complemented
178#394×C73C2211yescharacteristic
179#394×C73C2211yescharacteristic
180#388×C73C2211yescharacteristic, complemented
181#388×C73C2211yescharacteristic, complemented
182#388×C73C2211yescharacteristic, complemented
183#387×C73C2211yescharacteristic, complemented
184#385×C73C2211yescharacteristic, complemented
185#385×C73C2211yescharacteristic, complemented
186#381×C73C2211yescharacteristic, complemented
187#380×C73C2211yescharacteristic, complemented
188C4×C4⋊C4×C73C2211yescharacteristic, complemented
189C24×D73C2311yescharacteristic
190C24×D73C2311yescharacteristic
191C22×Dic146C2311yescharacteristic
192C22×D292C2311yescharacteristic
193C22×D292C2311yescharacteristic
194C22×D292C2311yescharacteristic
195C22×D292C2311yescharacteristic
196C22×C22⋊D73C2311yescharacteristic
197C22×C22⋊D73C2311yescharacteristic
198C22×C22⋊D73C2311yescharacteristic
199C22×C22⋊D73C2311yescharacteristic
200C2×D4×D73—24no—
201C2×D4×D73—24no—
202C2×D4×D73—24no—
203C23×Dic73C2311yescharacteristic
204C23×Dic73C2311yescharacteristic
205C22×C4×D73—24no—
206C22×C4×D73—24no—
207C22×C4×D73—24no—
208C22×C4×D73—24no—
209C22×C4×D73—42no—
210C22×C4×D73—42no—
211C22×C4×D73C2311yescharacteristic
212C22×C4×D73C2311yescharacteristic
213C22×C4×D73C2311yescharacteristic
214C22×C4×D73C2311yescharacteristic
215C22×C4×D73C2311yescharacteristic
216C22×C4×D73C2311yescharacteristic
217C22×C4×D73C2311yescharacteristic
218C22×C4×D73C2311yescharacteristic
219C22×C4×D73C2311yescharacteristic
220C22×C4×D73C2311yescharacteristic
221C22×C4×D73C2311yescharacteristic
222C22×C4×D73C2311yescharacteristic
223#14556585—24no—
224#14556581—24no—
225#14556577—24no—
226#14556577—24no—
227#14556576—24no—
228#14556573—24no—
229#14556569—24no—
230#14556569—24no—
231#14556564—24no—
232#14556564—24no—
233#14556561—24no—
234#14556561—24no—
235#14556556—24no—
236C4×D292—24no—
237C4×D292—24no—
238D4×Dic73—24no—
239#14556553—24no—
240#14556553—24no—
241#14556553—24no—
242#14556553—24no—
243#14556553—42no—
244C4×C22⋊D73—24no—
245C4×C22⋊D73—24no—
246#14556551—24no—
247#14556551—24no—
248#14556551—42no—
249#14556551D418yescomplemented
250#14556549—24no—
251#14556549—42no—
252#14556547—24no—
253#14556547—42no—
254C2×C4⋊Dic73C2311yescharacteristic
255C2×C4⋊Dic73C2311yescharacteristic
256C2×C4⋊Dic73C2311yescharacteristic
257C2×C4⋊Dic73C2311yescharacteristic
258C2×C4⋊Dic73C2311yescharacteristic
259C2×#11924007C2311yescharacteristic
260C2×#11924007C2311yescharacteristic
261C2×#11924007C2311yescharacteristic
262C2×#11924007C2311yescharacteristic
263C2×#11924007C2311yescharacteristic
264C2×#11924007C2311yescharacteristic
265C2×#11924007C2311yescharacteristic
266C2×#11924007C2311yescharacteristic
267C2×#11924007C2311yescharacteristic
268C2×#11924007C2311yescharacteristic
269C2×#11924007C2311yescharacteristic
270C2×#11924007C2311yescharacteristic
271C2×#11924007C2311yescharacteristic
272C2×#11924007C2311yescharacteristic
273C4⋊C4×D73—24no—
274C2×C22⋊Dic73C2311yescharacteristic
275C2×C22⋊Dic73C2311yescharacteristic
276C2×C22⋊Dic73C2311yescharacteristic
277C2×C22⋊Dic73C2311yescharacteristic
278C2×C22⋊Dic73C2311yescharacteristic
279C2×C22⋊Dic73C2311yescharacteristic
280C2×C22⋊Dic73C2311yescharacteristic
281C2×C22⋊Dic73C2311yescharacteristic
282C2×#11924005C2311yescharacteristic
283C2×#11924005C2311yescharacteristic
284C2×#11924005C2311yescharacteristic
285C2×#11924005C2311yescharacteristic
286C2×#11924005C2311yescharacteristic
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
309C2×#11924005C2311yescharacteristic
310C2×#11924005C2311yescharacteristic
311C2×#11924005C2311yescharacteristic
312C2×#11924005C2311yescharacteristic
313C2×#11924005C2311yescharacteristic
314C22⋊C4×D73—24no—
315C22⋊C4×D73—24no—
316C2×C4×Dic73C2311yescharacteristic
317C2×C4×Dic73C2311yescharacteristic
318C2×C4×Dic73C2311yescharacteristic
319C2×C4×Dic73C2311yescharacteristic
320C2×C4×Dic73C2311yescharacteristic
321C2×C4×Dic73C2311yescharacteristic
322C2×C4×Dic73C2311yescharacteristic
323C2×C4×Dic73C2311yescharacteristic
324C2×C4×Dic73C2311yescharacteristic
325C2×C4×Dic73C2311yescharacteristic
326C2×C4×Dic73C2311yescharacteristic
327C2×C4×Dic73C2311yescharacteristic
328C2×C4×Dic73C2311yescharacteristic
329C2×C4×Dic73C2311yescharacteristic
330C42×D73—24no—
331C42×D73—24no—
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
354C22×D4×C73C2311yescharacteristic
355C23×C4×C73C2311yescharacteristic
356C23×C4×C73C2311yescharacteristic
357#126×C73—24no—
358C4×D4×C73—24no—
359C2×C4⋊C4×C73C2311yescharacteristic
360C2×C4⋊C4×C73C2311yescharacteristic
361C2×C4⋊C4×C73C2311yescharacteristic
362C2×C4⋊C4×C73C2311yescharacteristic
363C2×C4⋊C4×C73C2311yescharacteristic
364C2×C4⋊C4×C73C2311yescharacteristic
365C2×C4⋊C4×C73C2311yescharacteristic
366C2×C4⋊C4×C73C2311yescharacteristic
367C2×C4⋊C4×C73C2311yescharacteristic
368C2×C22⋊C4×C73C2311yescharacteristic
369C2×C22⋊C4×C73C2311yescharacteristic
370C2×C22⋊C4×C73C2311yescharacteristic
371C2×C22⋊C4×C73C2311yescharacteristic
372C2×C22⋊C4×C73C2311yescharacteristic
373C2×C22⋊C4×C73C2311yescharacteristic
374C2×C22⋊C4×C73C2311yescharacteristic
375C2×C22⋊C4×C73C2311yescharacteristic
376C2×C22⋊C4×C73C2311yescharacteristic
377C2×C22⋊C4×C73C2311yescharacteristic
378C2×C42×C73C2311yescharacteristic
379C2×C42×C73C2311yescharacteristic
380C2×C42×C73C2311yescharacteristic
381#95×C73C2311yescharacteristic
382#95×C73C2311yescharacteristic
383#95×C73C2311yescharacteristic
384#95×C73C2311yescharacteristic
385#95×C73C2311yescharacteristic
386#95×C73C2311yescharacteristic
387#95×C73C2311yescharacteristic
388#95×C73C2311yescharacteristic
389#95×C73C2311yescharacteristic
390#95×C73C2311yescharacteristic
391C23×D73—22no—
392C23×D73—22no—
393C23×D73—22no—
394C23×D73—22no—
395C23×D73—22no—
396C23×D73—22no—
397C23×D73—22no—
398C23×D73—22no—
399C23×D73—22no—
400C23×D73—22no—
401C23×D73—41no—
402C23×D73—41no—
403C23×D73—41no—
404C23×D73—41no—
405C23×D73C2411yescharacteristic
406C23×D73C2411yescharacteristic
407C23×D73C2411yescharacteristic
408C23×D73C2411yescharacteristic
409C2×Dic146—22no—
410C2×Dic146—22no—
411C2×Dic146—22no—
412C2×D292—22no—
413C2×D292—22no—
414C2×D292—22no—
415C2×D292—22no—
416C2×D292—22no—
417C2×D292—22no—
418C2×D292—22no—
419C2×D292—22no—
420C2×D292—22no—
421C2×D292—41no—
422C2×D292—41no—
423C2×D292#4114yes—
424C2×C22⋊D73—22no—
425C2×C22⋊D73—22no—
426C2×C22⋊D73—22no—
427C2×C22⋊D73—22no—
428C2×C22⋊D73—22no—
429C2×C22⋊D73—22no—
430C2×C22⋊D73—22no—
431C2×C22⋊D73—22no—
432C2×C22⋊D73—41no—
433C2×C22⋊D73—41no—
434C2×C22⋊D73C2×D414yes—
435C2×C22⋊D73#4114yes—
436D4×D73—232no—
437C22×Dic73—22no—
438C22×Dic73—22no—
439C22×Dic73—22no—
440C22×Dic73—22no—
441C22×Dic73—22no—
442C22×Dic73C2×D414yes—
443C22×Dic73C2411yescharacteristic
444C22×Dic73C2411yescharacteristic
445C22×Dic73C2411yescharacteristic
446C22×Dic73C2411yescharacteristic
447C22×Dic73C2411yescharacteristic
448C22×Dic73C2411yescharacteristic
449C22×Dic73C2411yescharacteristic
450C22×Dic73C2411yescharacteristic
451C22×Dic73C2411yescharacteristic
452C22×Dic73C2411yescharacteristic
453C22×Dic73C2411yescharacteristic
454C22×Dic73C2411yescharacteristic
455C2×C4×D73—22no—
456C2×C4×D73—22no—
457C2×C4×D73—22no—
458C2×C4×D73—22no—
459C2×C4×D73—22no—
460C2×C4×D73—22no—
461C2×C4×D73—22no—
462C2×C4×D73—22no—
463C2×C4×D73—22no—
464C2×C4×D73—22no—
465C2×C4×D73—22no—
466C2×C4×D73—22no—
467C2×C4×D73—22no—
468C2×C4×D73—22no—
469C2×C4×D73—22no—
470C2×C4×D73—22no—
471C2×C4×D73—22no—
472C2×C4×D73—22no—
473C2×C4×D73—22no—
474C2×C4×D73—22no—
475C2×C4×D73—22no—
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—416no—
483C2×C4×D73—416no—
484C2×C4×D73—41no—
485C2×C4×D73—41no—
486C2×C4×D73—41no—
487C2×C4×D73—41no—
488C2×C4×D73—41no—
489C2×C4×D73—41no—
490C2×C4×D73C2×D414yes—
491C2×C4×D73#4114yes—
492C2×C4×D73#4114yes—
493C4⋊Dic73—22no—
494C4⋊Dic73—22no—
495C4⋊Dic73—22no—
496C4⋊Dic73—41no—
497C4⋊Dic73—41no—
498#11924007—22no—
499#11924007—22no—
500#11924007—22no—
501#11924007—22no—
502#11924007—22no—
503#11924007—22no—
504#11924007—22no—
505#11924007—22no—
506#11924007—22no—
507#11924007—41no—
508#11924007—41no—
509#11924007—41no—
510#11924007—41no—
511#11924007C2×D414yes—
512C22⋊Dic73—22no—
513C22⋊Dic73—22no—
514C22⋊Dic73—22no—
515C22⋊Dic73—22no—
516C22⋊Dic73—41no—
517C22⋊Dic73—41no—
518C22⋊Dic73—41no—
519C22⋊Dic73—41no—
520#11924005—22no—
521#11924005—22no—
522#11924005—22no—
523#11924005—22no—
524#11924005—22no—
525#11924005—22no—
526#11924005—22no—
527#11924005—22no—
528#11924005—22no—
529#11924005—22no—
530#11924005—22no—
531#11924005—22no—
532#11924005—22no—
533#11924005—22no—
534#11924005—22no—
535#11924005—22no—
536#11924005—22no—
537#11924005—22no—
538#11924005—22no—
539#11924005—22no—
540#11924005—22no—
541#11924005—22no—
542#11924005—22no—
543#11924005—41no—
544#11924005—41no—
545#11924005—41no—
546#11924005—41no—
547#11924005—41no—
548#11924005—41no—
549#11924005—41no—
550#11924005—41no—
551#11924005C2×D414yes—
552C4×Dic73—22no—
553C4×Dic73—22no—
554C4×Dic73—22no—
555C4×Dic73—22no—
556C4×Dic73—22no—
557C4×Dic73—22no—
558C4×Dic73—22no—
559C4×Dic73—22no—
560C4×Dic73—22no—
561C4×Dic73—22no—
562C4×Dic73—22no—
563C4×Dic73—22no—
564C4×Dic73—41no—
565C4×Dic73C2×D414yes—
566C24×C73C2411yescharacteristic
567C24×C73C2411yescharacteristic
568C2×D4×C73—22no—
569C2×D4×C73—22no—
570C2×D4×C73—22no—
571C22×C4×C73—22no—
572C22×C4×C73—22no—
573C22×C4×C73—22no—
574C22×C4×C73—22no—
575C22×C4×C73—41no—
576C22×C4×C73—41no—
577C22×C4×C73C2411yescharacteristic
578C22×C4×C73C2411yescharacteristic
579C22×C4×C73C2411yescharacteristic
580C22×C4×C73C2411yescharacteristic
581C22×C4×C73C2411yescharacteristic
582C22×C4×C73C2411yescharacteristic
583C22×C4×C73C2411yescharacteristic
584C22×C4×C73C2411yescharacteristic
585C22×C4×C73C2411yescharacteristic
586C22×C4×C73C2411yescharacteristic
587C22×C4×C73C2411yescharacteristic
588C22×C4×C73C2411yescharacteristic
589C22×C4×C73C2411yescharacteristic
590C4⋊C4×C73—22no—
591C4⋊C4×C73—22no—
592C4⋊C4×C73—22no—
593C4⋊C4×C73—22no—
594C4⋊C4×C73—22no—
595C4⋊C4×C73—22no—
596C4⋊C4×C73—22no—
597C4⋊C4×C73—41no—
598C4⋊C4×C73—41no—
599C22⋊C4×C73—22no—
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—41no—
607C22⋊C4×C73—41no—
608C22⋊C4×C73C2×D414yes—
609C42×C73—22no—
610C42×C73—22no—
611C42×C73—22no—
612C23×C73—21no—
613C23×C73—21no—
614C23×C73—21no—
615C23×C73—21no—
616C23×C73—21no—
617C23×C73—21no—
618C23×C73—21no—
619C23×C73—21no—
620C23×C73—21no—
621C23×C73—21no—
622C23×C73—21no—
623C23×C73—21no—
624C23×C73C22×D412yes—
625C23×C73C2×#4112yes—
626C23×C73C2511yescharacteristic
627C22×D73—21no—
628C22×D73—21no—
629C22×D73—21no—
630C22×D73—21no—
631C22×D73—28no—
632C22×D73—28no—
633C22×D73—21no—
634C22×D73—21no—
635C22×D73—21no—
636C22×D73—21no—
637C22×D73—21no—
638C22×D73—21no—
639C22×D73—21no—
640C22×D73—21no—
641C22×D73—21no—
642C22×D73—21no—
643C22×D73—21no—
644C22×D73—21no—
645C22×D73—21no—
646C22×D73—21no—
647C22×D73—21no—
648C22×D73—21no—
649C22×D73—21no—
650C22×D73—21no—
651C22×D73—44no—
652C22×D73—44no—
653C22×D73—44no—
654C22×D73—44no—
655C22×D73—44no—
656C22×D73—44no—
657C22×D73—44no—
658C22×D73—44no—
659C22×D73—44no—
660C22×D73—44no—
661C22×D73—44no—
662C22×D73—44no—
663C22×D73C22×D412yes—
664C22×D73C2×#4112yes—
665C22×D73C2×#4112yes—
666C22×D73C2×#4112yes—
667C22×D73C2×#4112yes—
668C22×D73C2×#4112yes—
669D4×C73—28no—
670C2×C4×C73—21no—
671C2×C4×C73—21no—
672C2×C4×C73—21no—
673C2×C4×C73—21no—
674C2×C4×C73—21no—
675C2×C4×C73—21no—
676C2×C4×C73—21no—
677C2×C4×C73—21no—
678C2×C4×C73—21no—
679C2×C4×C73—21no—
680C2×C4×C73—21no—
681C2×C4×C73—21no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—21no—
685C2×C4×C73—21no—
686C2×C4×C73—21no—
687C2×C4×C73—21no—
688C2×C4×C73—21no—
689C2×C4×C73—21no—
690C2×C4×C73—21no—
691C2×C4×C73—21no—
692C2×C4×C73—21no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—44no—
705C2×C4×C73—44no—
706C2×C4×C73C22×D412yes—
707C2×C4×C73C22×D412yes—
708C2×C4×C73C2×#4112yes—
709C2×C4×C73C2×#4112yes—
710C2×C4×C73C2×#4112yes—
711C22⋊D73—28no—
712C22⋊D73—28no—
713C22⋊D73—44no—
714C22⋊D73—44no—
715C2×Dic73—21no—
716C2×Dic73—21no—
717C2×Dic73—28no—
718C2×Dic73—21no—
719C2×Dic73—21no—
720C2×Dic73—21no—
721C2×Dic73—21no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730C2×Dic73—21no—
731C2×Dic73—21no—
732C2×Dic73—21no—
733C2×Dic73—21no—
734C2×Dic73—21no—
735C2×Dic73—21no—
736C2×Dic73—21no—
737C2×Dic73—21no—
738C2×Dic73—21no—
739C2×Dic73—21no—
740C2×Dic73—21no—
741C2×Dic73—21no—
742C2×Dic73—21no—
743C2×Dic73—21no—
744C2×Dic73—21no—
745C2×Dic73—44no—
746C2×Dic73C22×D412yes—
747C2×Dic73C22×D412yes—
748C2×Dic73C22×D412yes—
749C2×Dic73C2×#4112yes—
750C2×Dic73C2×#4112yes—
751C2×Dic73C2×#4112yes—
752C2×Dic73H(5,𝔽2)12yes—
753D292—28no—
754D292—28no—
755D292—44no—
756D292—44no—
757C4×D73—28no—
758C4×D73—28no—
759C4×D73—28no—
760C4×D73—44no—
761C4×D73—44no—
762C4×D73—44no—
763C4×D73—44no—
764C4×D73—44no—
765C4×D73—44no—
766C4×D73—44no—
767C4×D73—44no—
768C4×D73—44no—
769Dic146—44no—
770C22×C73—22no—
771C22×C73—22no—
772C22×C73—22no—
773C22×C73—22no—
774C22×C73—22no—
775C22×C73—22no—
776C22×C73—41no—
777C22×C73—41no—
778C22×C73—41no—
779C22×C73—41no—
780C22×C73—41no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73—41no—
784C22×C73C23×D411yescharacteristic
785C22×C73C22×#4111yescharacteristic
786C22×C73C22×#4111yescharacteristic
787C22×C73C22×#4111yescharacteristic
788C22×C73C22×#4111yescharacteristic
789C22×C73C2×H(5,𝔽2)11yescharacteristic
790C22×C73#58511yescharacteristic
791C2×D73—22no—
792C2×D73—22no—
793C2×D73—22no—
794C2×D73—22no—
795C2×D73—22no—
796C2×D73—22no—
797C2×D73—22no—
798C2×D73—22no—
799C2×D73—22no—
800C2×D73—22no—
801C2×D73—22no—
802C2×D73—22no—
803C2×D73—22no—
804C2×D73—22no—
805C2×D73—22no—
806C2×D73—416no—
807C2×D73—416no—
808C2×D73—41no—
809C2×D73—41no—
810C2×D73—41no—
811C2×D73—41no—
812C2×D73—41no—
813C2×D73—41no—
814C2×D73—41no—
815C2×D73—41no—
816C2×D73—41no—
817C2×D73—41no—
818C2×D73—41no—
819C2×D73—41no—
820C2×D73#52914yescomplemented
821C4×C73—22no—
822C4×C73—22no—
823C4×C73—22no—
824C4×C73—22no—
825C4×C73—22no—
826C4×C73—41no—
827C4×C73—41no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73—41no—
831C4×C73—41no—
832C4×C73—41no—
833C4×C73—41no—
834Dic73—22no—
835Dic73—41no—
836Dic73—41no—
837Dic73—41no—
838Dic73—41no—
839Dic73—41no—
840Dic73—41no—
841Dic73—41no—
842Dic73—41no—
843Dic73—41no—
844Dic73#52514yes—
845Dic73#54614yes—
846#34700—731nomaximal, Sylow
847C2×C73—42no—
848C2×C73—42no—
849C2×C73C2×#52511yescharacteristic
850C2×C73C2×#52911yescharacteristic
851C2×C73#346011yescharacteristic
852C2×C73C2×#54611yescharacteristic
853C2×C73D4×#4111yescharacteristic
854C2×C73#347511yescharacteristic
855C2×C73#348111yescharacteristic
856D73—24no—
857D73—42no—
858D73—42no—
859D73—42no—
860C2×#529—731no—
861C22×C4×D4—731no—
862#2480—731no—
863#2480—731no—
864#2468—731no—
865#2468D7311yescharacteristic, complemented
866#2457—731no—
867#2457—731no—
868#2454—731no—
869#2447—731no—
870#2442—731no—
871#2435—731no—
872#2427—731no—
873#2420—731no—
874#2418—731no—
875#2418—731no—
876#2417—731no—
877#2408—731no—
878#2395—731no—
879#2395—731no—
880#2392—731no—
881#2392—731no—
882C4×#124—731no—
883C4×C22⋊Q8—731no—
884C4×#121—731no—
885C4×#120—731no—
886C4×#120—731no—
887#2293—731no—
888#2280—731no—
889#2280—731no—
890C42×D4—731no—
891C73#3470011yescharacteristic, complemented, Sylow
892C23×D4—731no—
893C24×C4—731no—
894C24×C4—731no—
895#529—1468no—
896C2×#126—731no—
897C2×#126C2×D7311yescharacteristic, complemented
898C2×#125—731no—
899C2×#124—731no—
900C2×#124—731no—
901C2×#123—731no—
902C2×#123—731no—
903C2×C22⋊Q8—731no—
904C2×C22⋊Q8—731no—
905C2×#121—731no—
906C2×#121—731no—
907C2×#120—731no—
908C2×#120—731no—
909C2×C4×Q8—731no—
910C2×C4×D4—731no—
911C2×C4×D4—731no—
912C2×C4×D4—731no—
913C2×C4×D4—731no—
914C2×C4×D4—731no—
915C2×C4×D4—731no—
916C2×C4×D4—731no—
917C2×C4×D4—731no—
918C2×C4×D4—731no—
919C2×C4×D4—731no—
920C2×C4×D4—731no—
921C2×C4×D4—731no—
922C2×C4×D4—731no—
923C2×C4×D4—731no—
924C2×C4×D4—1468no—
925C2×C4×D4C2×D7311yescharacteristic
926C2×#117—731no—
927C2×#117—731no—
928C2×#117—731no—
929C2×#117—731no—
930C22×C4⋊C4—731no—
931C22×C22⋊C4—731no—
932C22×C22⋊C4—731no—
933C22×C42—731no—
934C22×C42—731no—
935#400—731no—
936#400—731no—
937#399—731no—
938#399—731no—
939#398—731no—
940#398—731no—
941#398C2×D7311yescharacteristic, complemented
942#398C2×D7311yescharacteristic, complemented
943#397—731no—
944#397—731no—
945#397—731no—
946#397—731no—
947#397—731no—
948#397—731no—
949#397—731no—
950#397—731no—
951#396—731no—
952#396—731no—
953#396—731no—
954#396—731no—
955#394—731no—
956#394—731no—
957#394—731no—
958#394—731no—
959#394—731no—
960#394—731no—
961#394—731no—
962#394—731no—
963#394C2×D7311yescharacteristic
964#394C2×D7311yescharacteristic
965#392—731no—
966#392—731no—
967#391—731no—
968#391—731no—
969#390—731no—
970#390—731no—
971#390—731no—
972#390—731no—
973#389—731no—
974#389—731no—
975#389—731no—
976#389—731no—
977#388—731no—
978#388—731no—
979#388—731no—
980#388—731no—
981#388—731no—
982#388—731no—
983#388—731no—
984#388C2×D7311yescharacteristic, complemented
985#388C2×D7311yescharacteristic, complemented
986#388C2×D7311yescharacteristic, complemented
987#387—731no—
988#387C2×D7311yescharacteristic, complemented
989#386—731no—
990#386—731no—
991#386—731no—
992#386—731no—
993#386—731no—
994#386—731no—
995#386—731no—
996#386—731no—
997#385—731no—
998#385—731no—
999#385—731no—
1000#385—731no—
1001#385—731no—
1002#385—731no—
1003#385C2×D7311yescharacteristic, complemented
1004#385C2×D7311yescharacteristic, complemented
1005#382—731no—
1006#381—731no—
1007#381—731no—
1008#381—731no—
1009#381C2×D7311yescharacteristic, complemented
1010#380—731no—
1011#380—731no—
1012#380—731no—
1013#380—731no—
1014#380—731no—
1015#380—731no—
1016#380—731no—
1017#380—731no—
1018#380—731no—
1019#380C2×D7311yescharacteristic, complemented
1020#379—731no—
1021#379—731no—
1022#379—731no—
1023#379—731no—
1024#379—731no—
1025#379—731no—
1026C4×C4⋊C4—731no—
1027C4×C4⋊C4—731no—
1028C4×C4⋊C4—731no—
1029C4×C4⋊C4—731no—
1030C4×C4⋊C4—731no—
1031C4×C4⋊C4C2×D7311yescharacteristic, complemented
1032C4×C22⋊C4—731no—
1033C4×C22⋊C4—731no—
1034C4×C22⋊C4—731no—
1035C4×C22⋊C4—731no—
1036C4×C22⋊C4—731no—
1037C4×C22⋊C4—731no—
1038C4×C22⋊C4—731no—
1039C4×C22⋊C4—731no—
1040C4×C22⋊C4—731no—
1041C4×C22⋊C4—731no—
1042C4×C22⋊C4—731no—
1043C4×C22⋊C4—731no—
1044C4×C22⋊C4—731no—
1045C4×C22⋊C4—731no—
1046C4×C22⋊C4—731no—
1047C4×C22⋊C4—731no—
1048C43—731no—
1049C25—731no—
1050C25—731no—
1051C22×Q8—731no—
1052C22×D4—731no—
1053C22×D4—731no—
1054C22×D4—731no—
1055C22×D4—731no—
1056C22×D4—731no—
1057C22×D4—731no—
1058C22×D4—731no—
1059C22×D4—731no—
1060C22×D4—1464no—
1061C22×D4—1464no—
1062C22×D4—1464no—
1063C22×D4C22×D7311yescharacteristic
1064C23×C4—2922no—
1065C23×C4—2922no—
1066C23×C4—731no—
1067C23×C4—731no—
1068C23×C4—731no—
1069C23×C4—731no—
1070C23×C4—731no—
1071C23×C4—731no—
1072C23×C4—731no—
1073C23×C4—731no—
1074C23×C4—731no—
1075C23×C4—731no—
1076C23×C4—731no—
1077C23×C4—731no—
1078C23×C4—731no—
1079C23×C4—731no—
1080C23×C4—1464no—
1081C23×C4—1464no—
1082C23×C4—1464no—
1083C23×C4—1464no—
1084C23×C4C22×D7311yescharacteristic
1085C23×C4C22×D7311yescharacteristic
1086#126—24no—
1087#126—1464no—
1088#125—1464no—
1089#124—1464no—
1090#124—1464no—
1091#123—1464no—
1092#123—1464no—
1093C22⋊Q8—1464no—
1094C22⋊Q8—1464no—
1095#121—1464no—
1096#121—1464no—
1097#120—1464no—
1098#120—1464no—
1099C4×Q8—1464no—
1100C4×D4—24no—
1101C4×D4—2922no—
1102C4×D4—2922no—
1103C4×D4—738no—
1104C4×D4—1464no—
1105C4×D4—1464no—
1106C4×D4—1464no—
1107C4×D4—1464no—
1108C4×D4—1464no—
1109C4×D4—1464no—
1110C4×D4—1464no—
1111C4×D4—1464no—
1112C4×D4—1464no—
1113C4×D4—1464no—
1114C4×D4—1464no—
1115#117—2922no—
1116#117—2922no—
1117#117—1464no—
1118#117—1464no—
1119C2×C4⋊C4—731no—
1120C2×C4⋊C4—731no—
1121C2×C4⋊C4—731no—
1122C2×C4⋊C4—731no—
1123C2×C4⋊C4—731no—
1124C2×C4⋊C4—731no—
1125C2×C4⋊C4—731no—
1126C2×C4⋊C4—731no—
1127C2×C4⋊C4—731no—
1128C2×C4⋊C4—731no—
1129C2×C4⋊C4—731no—
1130C2×C4⋊C4—731no—
1131C2×C4⋊C4—731no—
1132C2×C4⋊C4—731no—
1133C2×C4⋊C4—731no—
1134C2×C4⋊C4—731no—
1135C2×C4⋊C4—731no—
1136C2×C4⋊C4—731no—
1137C2×C4⋊C4—731no—
1138C2×C4⋊C4—1464no—
1139C2×C4⋊C4C22×D7311yescharacteristic
1140C2×C4⋊C4C22×D7311yescharacteristic
1141C2×C4⋊C4C22×D7311yescharacteristic
1142C2×C4⋊C4C22×D7311yescharacteristic
1143C2×C4⋊C4C22×D7311yescharacteristic
1144C2×C4⋊C4C22×D7311yescharacteristic
1145C2×C4⋊C4C22×D7311yescharacteristic
1146C2×C4⋊C4C22×D7311yescharacteristic
1147C2×C4⋊C4C22×D7311yescharacteristic
1148C2×C22⋊C4—731no—
1149C2×C22⋊C4—731no—
1150C2×C22⋊C4—731no—
1151C2×C22⋊C4—731no—
1152C2×C22⋊C4—731no—
1153C2×C22⋊C4—731no—
1154C2×C22⋊C4—731no—
1155C2×C22⋊C4—731no—
1156C2×C22⋊C4—731no—
1157C2×C22⋊C4—731no—
1158C2×C22⋊C4—731no—
1159C2×C22⋊C4—731no—
1160C2×C22⋊C4—731no—
1161C2×C22⋊C4—731no—
1162C2×C22⋊C4—731no—
1163C2×C22⋊C4—731no—
1164C2×C22⋊C4—731no—
1165C2×C22⋊C4—731no—
1166C2×C22⋊C4—731no—
1167C2×C22⋊C4—731no—
1168C2×C22⋊C4—731no—
1169C2×C22⋊C4—731no—
1170C2×C22⋊C4—731no—
1171C2×C22⋊C4—731no—
1172C2×C22⋊C4—731no—
1173C2×C22⋊C4—731no—
1174C2×C22⋊C4—731no—
1175C2×C22⋊C4—731no—
1176C2×C22⋊C4—731no—
1177C2×C22⋊C4—731no—
1178C2×C22⋊C4—731no—
1179C2×C22⋊C4—731no—
1180C2×C22⋊C4—731no—
1181C2×C22⋊C4—731no—
1182C2×C22⋊C4—731no—
1183C2×C22⋊C4—731no—
1184C2×C22⋊C4—731no—
1185C2×C22⋊C4—731no—
1186C2×C22⋊C4—731no—
1187C2×C22⋊C4—731no—
1188C2×C22⋊C4—1464no—
1189C2×C22⋊C4—1464no—
1190C2×C22⋊C4C22×D7311yescharacteristic
1191C2×C22⋊C4C22×D7311yescharacteristic
1192C2×C22⋊C4C22×D7311yescharacteristic
1193C2×C22⋊C4C22×D7311yescharacteristic
1194C2×C22⋊C4C22×D7311yescharacteristic
1195C2×C22⋊C4C22×D7311yescharacteristic
1196C2×C22⋊C4C22×D7311yescharacteristic
1197C2×C22⋊C4C22×D7311yescharacteristic
1198C2×C22⋊C4C22×D7311yescharacteristic
1199C2×C22⋊C4C22×D7311yescharacteristic
1200C2×C42—731no—
1201C2×C42—731no—
1202C2×C42—731no—
1203C2×C42—731no—
1204C2×C42—731no—
1205C2×C42—731no—
1206C2×C42—731no—
1207C2×C42—731no—
1208C2×C42—731no—
1209C2×C42—731no—
1210C2×C42—731no—
1211C2×C42—731no—
1212C2×C42—731no—
1213C2×C42—731no—
1214C2×C42—1464no—
1215C2×C42—1464no—
1216C2×C42C22×D7311yescharacteristic
1217C2×C42C22×D7311yescharacteristic
1218C2×C42C22×D7311yescharacteristic
1219#95—731no—
1220#95—731no—
1221#95—731no—
1222#95—731no—
1223#95—731no—
1224#95—731no—
1225#95—731no—
1226#95—731no—
1227#95—731no—
1228#95—731no—
1229#95—731no—
1230#95—731no—
1231#95—731no—
1232#95—731no—
1233#95—731no—
1234#95—731no—
1235#95—731no—
1236#95—731no—
1237#95—731no—
1238#95—731no—
1239#95—731no—
1240#95—731no—
1241#95C22×D7311yescharacteristic
1242#95C22×D7311yescharacteristic
1243#95C22×D7311yescharacteristic
1244#95C22×D7311yescharacteristic
1245#95C22×D7311yescharacteristic
1246#95C22×D7311yescharacteristic
1247#95C22×D7311yescharacteristic
1248#95C22×D7311yescharacteristic
1249#95C22×D7311yescharacteristic
1250#95C22×D7311yescharacteristic
1251C24—2921no—
1252C24—2921no—
1253C24—2921no—
1254C24—2921no—
1255C24—731no—
1256C24—731no—
1257C24—731no—
1258C24—731no—
1259C24—1462no—
1260C24—1462no—
1261C24—1462no—
1262C24—1462no—
1263C24—1462no—
1264C24—1462no—
1265C24—1462no—
1266C24—1462no—
1267C24—1462no—
1268C24—1462no—
1269C24C23×D7311yescharacteristic
1270C24C23×D7311yescharacteristic
1271C2×Q8—1462no—
1272C2×Q8—1462no—
1273C2×Q8—1462no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—2921no—
1278C2×D4—2921no—
1279C2×D4—2921no—
1280C2×D4—2921no—
1281C2×D4—734no—
1282C2×D4—734no—
1283C2×D4—734no—
1284C2×D4—1462no—
1285C2×D4—1462no—
1286C2×D4—1462no—
1287C2×D4—1462no—
1288C2×D4—1462no—
1289C2×D4—1462no—
1290C2×D4—1462no—
1291C2×D4—1462no—
1292C2×D4—1462no—
1293C2×D4—1462no—
1294C2×D4—1462no—
1295C2×D4—1462no—
1296C2×D4—14632no—
1297C2×D4—1462no—
1298C2×D4—1462no—
1299C2×D4—1462no—
1300C2×D4—1462no—
1301C2×D4—1462no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—2921no—
1309C22×C4—2921no—
1310C22×C4—2921no—
1311C22×C4—2921no—
1312C22×C4—2921no—
1313C22×C4—2921no—
1314C22×C4—29216no—
1315C22×C4—29216no—
1316C22×C4—731no—
1317C22×C4—731no—
1318C22×C4—734no—
1319C22×C4—731no—
1320C22×C4—734no—
1321C22×C4—734no—
1322C22×C4—734no—
1323C22×C4—731no—
1324C22×C4—731no—
1325C22×C4—731no—
1326C22×C4—731no—
1327C22×C4—731no—
1328C22×C4—731no—
1329C22×C4—731no—
1330C22×C4—731no—
1331C22×C4—731no—
1332C22×C4—1462no—
1333C22×C4—1462no—
1334C22×C4—1462no—
1335C22×C4—1462no—
1336C22×C4—1462no—
1337C22×C4—1462no—
1338C22×C4—1462no—
1339C22×C4—1462no—
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—
1351C22×C4—1462no—
1352C22×C4—1462no—
1353C22×C4—1462no—
1354C22×C4—1462no—
1355C22×C4—1462no—
1356C22×C4—1462no—
1357C22×C4—1462no—
1358C22×C4—1462no—
1359C22×C4—1462no—
1360C22×C4—1462no—
1361C22×C4—1462no—
1362C22×C4—1462no—
1363C22×C4—1462no—
1364C22×C4C23×D7311yescharacteristic
1365C22×C4C23×D7311yescharacteristic
1366C22×C4C23×D7311yescharacteristic
1367C22×C4C23×D7311yescharacteristic
1368C22×C4C23×D7311yescharacteristic
1369C22×C4C23×D7311yescharacteristic
1370C22×C4C23×D7311yescharacteristic
1371C22×C4C23×D7311yescharacteristic
1372C22×C4C23×D7311yescharacteristic
1373C22×C4C23×D7311yescharacteristic
1374C22×C4C23×D7311yescharacteristic
1375C22×C4C23×D7311yescharacteristic
1376C22×C4C23×D7311yescharacteristic
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—41no—
1385C4⋊C4—41no—
1386C4⋊C4—2921no—
1387C4⋊C4—2921no—
1388C4⋊C4—2921no—
1389C4⋊C4—2921no—
1390C4⋊C4—2921no—
1391C4⋊C4—2921no—
1392C4⋊C4—734no—
1393C4⋊C4—1462no—
1394C4⋊C4—1462no—
1395C4⋊C4—1462no—
1396C4⋊C4—1462no—
1397C4⋊C4—1462no—
1398C4⋊C4—1462no—
1399C4⋊C4—1462no—
1400C4⋊C4—1462no—
1401C4⋊C4—1462no—
1402C4⋊C4—1462no—
1403C4⋊C4—1462no—
1404C4⋊C4—1462no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—2921no—
1415C22⋊C4—2921no—
1416C22⋊C4—2921no—
1417C22⋊C4—2921no—
1418C22⋊C4—2921no—
1419C22⋊C4—2921no—
1420C22⋊C4—2921no—
1421C22⋊C4—2921no—
1422C22⋊C4—2921no—
1423C22⋊C4—2921no—
1424C22⋊C4—2921no—
1425C22⋊C4—2921no—
1426C22⋊C4—734no—
1427C22⋊C4—1462no—
1428C22⋊C4—1462no—
1429C22⋊C4—1462no—
1430C22⋊C4—1462no—
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⋊C4D4×D7314yes—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—2921no—
1459C42—734no—
1460C42—1462no—
1461C42—1462no—
1462C42—1462no—
1463C42—1462no—
1464C42—1462no—
1465C42—1462no—
1466C42—1462no—
1467C42—1462no—
1468C42—1462no—
1469C42—1462no—
1470C42—1462no—
1471C42—1462no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—2924no—
1485C23—2924no—
1486C23—2924no—
1487C23—2924no—
1488C23—2924no—
1489C23—2924no—
1490C23—2924no—
1491C23—2924no—
1492C23—2924no—
1493C23—2924no—
1494C23—2924no—
1495C23—2924no—
1496C23—732no—
1497C23—732no—
1498C23—732no—
1499C23—732no—
1500C23—732no—
1501C23—732no—
1502C23—1468no—
1503C23—1468no—
1504C23—1461no—
1505C23—1461no—
1506C23—1461no—
1507C23—1461no—
1508C23—1461no—
1509C23—1461no—
1510C23—1461no—
1511C23—1461no—
1512C23—1461no—
1513C23—1461no—
1514C23—1461no—
1515C23—1461no—
1516C23—1461no—
1517C23—1461no—
1518C23—1461no—
1519C23—1461no—
1520C23—1461no—
1521C23—1461no—
1522C23—1461no—
1523C23—1461no—
1524C23—1461no—
1525C23—1461no—
1526C23C2×D4×D7312yes—
1527C23#41×D7312yes—
1528C23C24×D7311yescharacteristic
1529Q8—2924no—
1530D4—28no—
1531D4—2924no—
1532D4—2924no—
1533D4—2924no—
1534D4—2924no—
1535D4—1468no—
1536D4—1468no—
1537D4—1468no—
1538D4—1468no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—2924no—
1576C2×C4—2924no—
1577C2×C4—2924no—
1578C2×C4—2924no—
1579C2×C4—2924no—
1580C2×C4—2924no—
1581C2×C4—2924no—
1582C2×C4—2924no—
1583C2×C4—2924no—
1584C2×C4—2924no—
1585C2×C4—732no—
1586C2×C4—732no—
1587C2×C4—732no—
1588C2×C4—732no—
1589C2×C4—732no—
1590C2×C4—732no—
1591C2×C4—732no—
1592C2×C4—1468no—
1593C2×C4—1468no—
1594C2×C4—1468no—
1595C2×C4—1461no—
1596C2×C4—1461no—
1597C2×C4—1461no—
1598C2×C4—1461no—
1599C2×C4—1461no—
1600C2×C4—1461no—
1601C2×C4—1461no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1461no—
1606C2×C4—1461no—
1607C2×C4—1461no—
1608C2×C4—1461no—
1609C2×C4—1461no—
1610C2×C4—1461no—
1611C2×C4—1461no—
1612C2×C4—1461no—
1613C2×C4—1461no—
1614C2×C4—1461no—
1615C2×C4—1461no—
1616C2×C4—1461no—
1617C2×C4—1461no—
1618C2×C4—1461no—
1619C2×C4—1461no—
1620C2×C4—1461no—
1621C2×C4—1461no—
1622C2×C4—1468no—
1623C2×C4—1461no—
1624C2×C4—1461no—
1625C2×C4C2×D4×D7312yes—
1626C2×C4C2×D4×D7312yes—
1627C2×C4#41×D7312yes—
1628C2×C4#41×D7312yes—
1629C2×C4#41×D7312yes—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—29216no—
1645C22—29216no—
1646C22—2921no—
1647C22—2921no—
1648C22—2921no—
1649C22—2921no—
1650C22—2921no—
1651C22—2921no—
1652C22—2921no—
1653C22—2921no—
1654C22—2921no—
1655C22—2921no—
1656C22—2921no—
1657C22—2921no—
1658C22—734no—
1659C22—1462no—
1660C22—1462no—
1661C22—1462no—
1662C22—1462no—
1663C22—1462no—
1664C22—1462no—
1665C22—1462no—
1666C22—1462no—
1667C22—1462no—
1668C22—1462no—
1669C22—1462no—
1670C22—1462no—
1671C22—1462no—
1672C22—1462no—
1673C22—1462no—
1674C22C22×D4×D7311yescharacteristic
1675C22C2×#41×D7311yescharacteristic
1676C22C2×#41×D7311yescharacteristic
1677C22C2×#41×D7311yescharacteristic
1678C22C2×#41×D7311yescharacteristic
1679C22H(5,𝔽2)×D7311yescharacteristic
1680C22#1798942411yescharacteristic
1681C4—22no—
1682C4—22no—
1683C4—22no—
1684C4—22no—
1685C4—22no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—2921no—
1695C4—2921no—
1696C4—2921no—
1697C4—2921no—
1698C4—2921no—
1699C4—2921no—
1700C4—2921no—
1701C4—2921no—
1702C4—2921no—
1703C4—734no—
1704C4—734no—
1705C4—1462no—
1706C2—42no—
1707C2—42no—
1708C2—2922no—
1709C2—2922no—
1710C2—2922no—
1711C2—1464no—
1712C2#525×D7311yescharacteristic
1713C2#529×D7311yescharacteristic
1714C2#2262335111yescharacteristic
1715C2#546×D7311yescharacteristic
1716C2#2262341811yescharacteristic
1717C2#2262348411yescharacteristic
1718C2#2262353811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2468C2
prime radical#22613282C2
hypercenter#2468D73
hypocenterC73#34700
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2468

Complements

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

NH ≅ G/Ntype
1. C2×#17989120C2semidirect
2. C2×C4×D4×D73C2semidirect
3. #22614181C2semidirect
4. #22614173C2semidirect
5. #22613997C2semidirect
6. #22613840C2semidirect
7. #22613832C2semidirect
8. #22613800C2semidirect
9. #22613715C2semidirect
10. #22613650C2semidirect
11. #22613577C2semidirect
12. #22613507C2semidirect
13. #22613422C2semidirect
14. #22613400C2semidirect
15. #22613398C2semidirect
16. #22613377C2semidirect
18. #22613195C2semidirect
19. #22613187C2semidirect
20. #22613174C2semidirect
21. #22613172C2semidirect
22. #22612472C2semidirect
23. #22612465C2semidirect
24. #22612443C2semidirect
25. #22612432C2semidirect
26. #22612432C2semidirect
27. #22612391C2semidirect
28. #22612313C2semidirect
29. #22612311C2semidirect
30. C4×#14556553C2semidirect
31. C73×#2468C2semidirect
36. C2×#14556585C22semidirect
37. C2×#14556581C22semidirect
40. C2×#14556576C22semidirect
41. C2×#14556573C22semidirect
43. C2×#14556569C22semidirect
48. C2×#14556556C22semidirect
55. C2×#14556553C22semidirect
56. C2×#14556553C22semidirect
61. C2×#14556551C22semidirect
62. C2×#14556551C22semidirect
64. C2×#14556549C22semidirect
65. C2×#14556549C22semidirect
66. C2×#14556547C22semidirect
67. C2×#14556547C22semidirect
72. C2×C42×D73C22semidirect
73. #17988529C22semidirect
74. #17988526C22semidirect
75. #17988524C22semidirect
76. #17988523C22semidirect
77. #17988521C22semidirect
78. #17988520C22semidirect
79. #17988515C22semidirect
80. #17988515C22semidirect
81. #17988515C22semidirect
82. #17988514C22semidirect
83. #17988514C22semidirect
84. #17988513C22semidirect
85. #17988513C22semidirect
86. #17988512C22semidirect
87. #17988510C22semidirect
88. #17988509C22semidirect
89. #17988509C22semidirect
90. #17988509C22semidirect
92. #17988505C22semidirect
95. #17988504C22semidirect
96. #17988503C22semidirect
97. #17988502C22semidirect
101. #17988491C22semidirect
102. #17988491C22semidirect
107. #17988484C22semidirect
108. #17988484C22semidirect
109. #17988482C22semidirect
110. #17988482C22semidirect
111. #17988481C22semidirect
112. #17988480C22semidirect
113. #17988478C22semidirect
114. #17988478C22semidirect
115. #17988478C22semidirect
116. #17988477C22semidirect
117. #17988476C22semidirect
118. #17988471C22semidirect
119. #17988466C22semidirect
120. #17988466C22semidirect
123. #17988465C22semidirect
124. #17988465C22semidirect
125. #17988465C22semidirect
126. #17988463C22semidirect
131. #17988458C22semidirect
132. #17988458C22semidirect
133. #17988451C22semidirect
134. #17988450C22semidirect
135. #17988449C22semidirect
136. #17988449C22semidirect
137. #17988447C22semidirect
141. #17988446C22semidirect
142. #17988446C22semidirect
143. #17988446C22semidirect
152. C4⋊C4×Dic73C22semidirect
153. C4⋊C4×Dic73C22semidirect
154. C4⋊C4×Dic73C22semidirect
155. #17988438C22semidirect
156. #17988438C22semidirect
157. C22⋊C4×Dic73C22semidirect
158. C22⋊C4×Dic73C22semidirect
159. C22⋊C4×Dic73C22semidirect
160. C22⋊C4×Dic73C22semidirect
162. C4×#11924005C22semidirect
167. #17988434C22semidirect
168. #17988434C22semidirect
169. #17988434C22semidirect
170. #17988434C22semidirect
171. #17988434C22semidirect
172. #17988434C22semidirect
173. C42×Dic73C22semidirect
174. C2×#126×C73C22semidirect
176. #398×C73C22semidirect
177. #398×C73C22semidirect
180. #388×C73C22semidirect
181. #388×C73C22semidirect
182. #388×C73C22semidirect
183. #387×C73C22semidirect
184. #385×C73C22semidirect
185. #385×C73C22semidirect
186. #381×C73C22semidirect
187. #380×C73C22semidirect
188. C4×C4⋊C4×C73C22semidirect
249. #14556551D4semidirect
820. C2×D73#529semidirect
865. #2468D73semidirect
891. C73#34700semidirect
897. C2×#126C2×D73semidirect
941. #398C2×D73semidirect
942. #398C2×D73semidirect
984. #388C2×D73semidirect
985. #388C2×D73semidirect
986. #388C2×D73semidirect
988. #387C2×D73semidirect
1003. #385C2×D73semidirect
1004. #385C2×D73semidirect
1009. #381C2×D73semidirect
1019. #380C2×D73semidirect
1031. C4×C4⋊C4C2×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179891202
C2×C4×D4×D732
#226141812
#226141732
#226139972
#226138402
#226138322
#226138002
#226137152
#226136502
#226135772
#226135072
#226134222
#226134002
#226133982
#226133772
#226132822
#226131952
#226131872
#226131742
#226131722
#226124722
#226124652
#226124432
#226124322
#226123912
#226123132
#226123112
C4×#145565532
C73×#24682
#3470073