Finite Group Databasebeta

← #33253748

Subgroups — #33253748

Order 18688.

3014 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989116C211yesmaximal, characteristic, complemented
2C2×C4×D4×D73C211yesmaximal, characteristic, complemented
3#22614198C211yesmaximal, characteristic, complemented
4#22614175C211yesmaximal, characteristic, complemented
5#22614076C211yesmaximal, characteristic, complemented
6#22614053C211yesmaximal, characteristic, complemented
7#22613984C211yesmaximal, characteristic, complemented
8#22613961C211yesmaximal, characteristic, complemented
9#22613883C211yesmaximal, characteristic, complemented
10#22613752C211yesmaximal, characteristic, complemented
11#22613678C211yesmaximal, characteristic, complemented
12#22613591C211yesmaximal, characteristic, complemented
13#22613487C211yesmaximal, characteristic, complemented
14#22613405C211yesmaximal, characteristic, complemented
15#22613322C211yesmaximal, characteristic, complemented
16#22613298C211yesmaximal, characteristic
17#22613253C211yesmaximal, characteristic, complemented
18#22613213C211yesmaximal, characteristic, complemented
19#22613187C211yesmaximal, characteristic, complemented
20#22613174C211yesmaximal, characteristic, complemented
21#22613166C211yesmaximal, characteristic, complemented
22#22612469C211yesmaximal, characteristic, complemented
23#22612452C211yesmaximal, characteristic, complemented
24#22612443C211yesmaximal, characteristic, complemented
25#22612436C211yesmaximal, characteristic, complemented
26#22612436C211yesmaximal, characteristic, complemented
27#22612373C211yesmaximal, characteristic, complemented
28#22612373C211yesmaximal, characteristic, complemented
29#22612311C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D73C211yesmaximal, characteristic, complemented
31C73×#2459C211yesmaximal, characteristic, complemented
32C22×D4×D73C2211yescharacteristic
33C23×C4×D73C2211yescharacteristic
34C23×C4×D73C2211yescharacteristic
35#17989116—28no—
36C2×#14556584C2211yescharacteristic, complemented
37C2×#14556584C2211yescharacteristic, complemented
38C2×#14556583C2211yescharacteristic, complemented
39C2×#14556576C2211yescharacteristic
40C2×#14556573C2211yescharacteristic
41C2×#14556573C2211yescharacteristic, complemented
42C2×#14556567C2211yescharacteristic
43C2×#14556567C2211yescharacteristic, complemented
44C2×#14556564C2211yescharacteristic
45C2×#14556562C2211yescharacteristic
46C2×#14556559C2211yescharacteristic
47C2×#14556559C2211yescharacteristic
48C2×Q8×Dic73C2211yescharacteristic, complemented
49C2×C4×D292C2211yescharacteristic
50C2×D4×Dic73C2211yescharacteristic
51C2×D4×Dic73C2211yescharacteristic, complemented
52C2×D4×Dic73C2211yescharacteristic, complemented
53C2×#14556553C2211yescharacteristic
54C2×C4×C22⋊D73C2211yescharacteristic
55C2×C4×C22⋊D73C2211yescharacteristic
56C2×#14556551C2211yescharacteristic
57C2×#14556551C2211yescharacteristic
58C2×#14556551C2211yescharacteristic
59C2×#14556551C2211yescharacteristic, complemented
60C2×#14556551C2211yescharacteristic, complemented
61C4×D4×D73—28no—
62C2×#14556547C2211yescharacteristic, complemented
63C2×#14556547C2211yescharacteristic, complemented
64C2×#14556547C2211yescharacteristic, complemented
65C2×C4⋊C4×D73C2211yescharacteristic
66C2×C22⋊C4×D73C2211yescharacteristic
67C2×C22⋊C4×D73C2211yescharacteristic
68C2×C22⋊C4×D73C2211yescharacteristic
69C2×C22⋊C4×D73C2211yescharacteristic
70C2×C42×D73C2211yescharacteristic
71C2×C42×D73C2211yescharacteristic, complemented
72C2×C42×D73C2211yescharacteristic, complemented
73#17988529C2211yescharacteristic, complemented
74#17988529C2211yescharacteristic, complemented
75#17988529C2211yescharacteristic, complemented
76#17988523C2211yescharacteristic, complemented
77#17988521C2211yescharacteristic, complemented
78#17988520C2211yescharacteristic, complemented
79#17988519C2211yescharacteristic, complemented
80#17988515C2211yescharacteristic, complemented
81#17988515C2211yescharacteristic, complemented
82#17988515C2211yescharacteristic, complemented
83#17988514C2211yescharacteristic, complemented
84#17988512C2211yescharacteristic, complemented
85#17988512C2211yescharacteristic, complemented
86#17988512C2211yescharacteristic, complemented
87#17988510C2211yescharacteristic, complemented
88#17988510C2211yescharacteristic, complemented
89#17988510C2211yescharacteristic, complemented
90#17988509C2211yescharacteristic, complemented
91#17988503C2211yescharacteristic
92#17988503C2211yescharacteristic
93#17988503C2211yescharacteristic, complemented
94#17988502C2211yescharacteristic
95#17988501C2211yescharacteristic
96#17988501C2211yescharacteristic
97#17988501C2211yescharacteristic, complemented
98#17988501C2211yescharacteristic, complemented
99#17988498C2211yescharacteristic, complemented
100#17988495C2211yescharacteristic
101#17988487C2211yescharacteristic, complemented
102#17988485C2211yescharacteristic, complemented
103#17988482C2211yescharacteristic, complemented
104#17988480C2211yescharacteristic, complemented
105#17988480C2211yescharacteristic, complemented
106#17988479C2211yescharacteristic, complemented
107#17988478C2211yescharacteristic, complemented
108#17988478C2211yescharacteristic, complemented
109#17988474C2211yescharacteristic, complemented
110#17988474C2211yescharacteristic, complemented
111#17988471C2211yescharacteristic, complemented
112#17988471C2211yescharacteristic, complemented
113#17988469C2211yescharacteristic, complemented
114#17988469C2211yescharacteristic, complemented
115#17988468C2211yescharacteristic, complemented
116#17988465C2211yescharacteristic
117#17988465C2211yescharacteristic
118#17988463C2211yescharacteristic
119#17988463C2211yescharacteristic
120#17988463C2211yescharacteristic
121#17988463C2211yescharacteristic
122#17988463C2211yescharacteristic
123#17988463C2211yescharacteristic
124#17988463C2211yescharacteristic, complemented
125#17988463C2211yescharacteristic, complemented
126#17988463C2211yescharacteristic, complemented
127#17988461C2211yescharacteristic
128#17988461C2211yescharacteristic
129#17988461C2211yescharacteristic
130#17988461C2211yescharacteristic
131#17988461C2211yescharacteristic
132#17988461C2211yescharacteristic, complemented
133#17988461C2211yescharacteristic, complemented
134#17988461C2211yescharacteristic, complemented
135#17988461C2211yescharacteristic, complemented
136#17988460C2211yescharacteristic, complemented
137#17988460C2211yescharacteristic, complemented
138#17988458C2211yescharacteristic
139#17988458C2211yescharacteristic, complemented
140#17988450C2211yescharacteristic, complemented
141#17988449C2211yescharacteristic, complemented
142#17988446C2211yescharacteristic
143#17988446C2211yescharacteristic
144#17988446C2211yescharacteristic, complemented
145#17988446C2211yescharacteristic, complemented
146#17988446C2211yescharacteristic, complemented
147#17988444C2211yescharacteristic
148#17988442C2211yescharacteristic
149#17988442C2211yescharacteristic
150#17988442C2211yescharacteristic
151#17988442C2211yescharacteristic
152C4⋊C4×Dic73C2211yescharacteristic, complemented
153C4⋊C4×Dic73C2211yescharacteristic, complemented
154#17988438C2211yescharacteristic, complemented
155#17988438C2211yescharacteristic, complemented
156C22⋊C4×Dic73C2211yescharacteristic, complemented
157C22⋊C4×Dic73C2211yescharacteristic, complemented
158C22⋊C4×Dic73C2211yescharacteristic, complemented
159C22⋊C4×Dic73C2211yescharacteristic, complemented
160C22⋊C4×Dic73C2211yescharacteristic, complemented
161C4×#11924005C2211yescharacteristic
162C4×#11924005C2211yescharacteristic
163C4×C22⋊Dic73C2211yescharacteristic, complemented
164#17988434C2211yescharacteristic
165#17988434C2211yescharacteristic
166#17988434C2211yescharacteristic
167#17988434C2211yescharacteristic, complemented
168#17988434C2211yescharacteristic, complemented
169#17988434C2211yescharacteristic, complemented
170#17988434C2211yescharacteristic, complemented
171#17988432C2211yescharacteristic, complemented
172#95×D73C2211yescharacteristic, complemented
173#95×D73C2211yescharacteristic, complemented
174C2×#124×C73C2211yescharacteristic, complemented
175C2×C4×D4×C73C2211yescharacteristic
176#394×C73C2211yescharacteristic
177#394×C73C2211yescharacteristic, complemented
178#393×C73C2211yescharacteristic, complemented
179#392×C73C2211yescharacteristic
180#391×C73C2211yescharacteristic, complemented
181#388×C73C2211yescharacteristic, complemented
182#388×C73C2211yescharacteristic, complemented
183#388×C73C2211yescharacteristic, complemented
184#387×C73C2211yescharacteristic, complemented
185#386×C73C2211yescharacteristic, complemented
186#386×C73C2211yescharacteristic, complemented
187#381×C73C2211yescharacteristic, complemented
188C4×C22⋊C4×C73C2211yescharacteristic, complemented
189C24×D73C2311yescharacteristic
190C24×D73C2311yescharacteristic
191C22×D292C2311yescharacteristic
192C22×C22⋊D73C2311yescharacteristic
193C22×C22⋊D73C2311yescharacteristic
194C22×C22⋊D73C2311yescharacteristic
195C22×C22⋊D73C2311yescharacteristic
196C22×C22⋊D73C2311yescharacteristic
197C2×D4×D73—24no—
198C2×D4×D73—24no—
199C2×D4×D73—24no—
200C23×Dic73C2311yescharacteristic
201C23×Dic73C2311yescharacteristic
202C23×Dic73C2311yescharacteristic
203C22×C4×D73—24no—
204C22×C4×D73—24no—
205C22×C4×D73—24no—
206C22×C4×D73—24no—
207C22×C4×D73—42no—
208C22×C4×D73—42no—
209C22×C4×D73C2311yescharacteristic
210C22×C4×D73C2311yescharacteristic
211C22×C4×D73C2311yescharacteristic
212C22×C4×D73C2311yescharacteristic
213C22×C4×D73C2311yescharacteristic
214C22×C4×D73C2311yescharacteristic
215C22×C4×D73C2311yescharacteristic
216C22×C4×D73C2311yescharacteristic
217C22×C4×D73C2311yescharacteristic
218C22×C4×D73C2311yescharacteristic
219C22×C4×D73C2311yescharacteristic
220C22×C4×D73C2311yescharacteristic
221C22×C4×D73C2311yescharacteristic
222#14556584—24no—
223#14556584—24no—
224#14556583—24no—
225#14556576—24no—
226#14556573—24no—
227#14556573—24no—
228#14556567—24no—
229#14556567—24no—
230#14556564—24no—
231#14556562—24no—
232#14556559—24no—
233#14556559—24no—
234Q8×Dic73—24no—
235C4×D292—24no—
236D4×Dic73—24no—
237D4×Dic73—24no—
238D4×Dic73—42no—
239#14556553—24no—
240C4×C22⋊D73—24no—
241C4×C22⋊D73—24no—
242#14556551—24no—
243#14556551—24no—
244#14556551—24no—
245#14556551—42no—
246#14556551D418yescomplemented
247#14556547—24no—
248#14556547—24no—
249#14556547—42no—
250C2×C4⋊Dic73C2311yescharacteristic
251C2×C4⋊Dic73C2311yescharacteristic
252C2×C4⋊Dic73C2311yescharacteristic
253C2×C4⋊Dic73C2311yescharacteristic
254C2×C4⋊Dic73C2311yescharacteristic
255C2×C4⋊Dic73C2311yescharacteristic
256C2×C4⋊Dic73C2311yescharacteristic
257C2×C4⋊Dic73C2311yescharacteristic
258C2×#11924007C2311yescharacteristic
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×C22⋊Dic73C2311yescharacteristic
283C2×C22⋊Dic73C2311yescharacteristic
284C2×C22⋊Dic73C2311yescharacteristic
285C2×C22⋊Dic73C2311yescharacteristic
286C2×C22⋊Dic73C2311yescharacteristic
287C2×C22⋊Dic73C2311yescharacteristic
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—
313C2×C4×Dic73C2311yescharacteristic
314C2×C4×Dic73C2311yescharacteristic
315C2×C4×Dic73C2311yescharacteristic
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
325C42×D73—24no—
326C42×D73—24no—
327C42×D73—42no—
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
354C22×Q8×C73C2311yescharacteristic
355C22×D4×C73C2311yescharacteristic
356C22×D4×C73C2311yescharacteristic
357C22×D4×C73C2311yescharacteristic
358C23×C4×C73C2311yescharacteristic
359C23×C4×C73C2311yescharacteristic
360#124×C73—24no—
361C4×D4×C73—24no—
362C2×C4⋊C4×C73C2311yescharacteristic
363C2×C4⋊C4×C73C2311yescharacteristic
364C2×C4⋊C4×C73C2311yescharacteristic
365C2×C22⋊C4×C73C2311yescharacteristic
366C2×C22⋊C4×C73C2311yescharacteristic
367C2×C22⋊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—41no—
401C23×D73—41no—
402C23×D73—41no—
403C23×D73—41no—
404C23×D73#4114yes—
405C23×D73C2411yescharacteristic
406C23×D73C2411yescharacteristic
407C23×D73C2411yescharacteristic
408C2×D292—22no—
409C2×D292—22no—
410C2×D292#4114yes—
411C2×C22⋊D73—22no—
412C2×C22⋊D73—22no—
413C2×C22⋊D73—22no—
414C2×C22⋊D73—22no—
415C2×C22⋊D73—22no—
416C2×C22⋊D73—22no—
417C2×C22⋊D73—22no—
418C2×C22⋊D73—22no—
419C2×C22⋊D73—22no—
420C2×C22⋊D73—22no—
421C2×C22⋊D73—22no—
422C2×C22⋊D73—22no—
423C2×C22⋊D73—22no—
424C2×C22⋊D73—41no—
425C2×C22⋊D73C2×D414yes—
426D4×D73—232no—
427C22×Dic73—22no—
428C22×Dic73—22no—
429C22×Dic73—22no—
430C22×Dic73—22no—
431C22×Dic73—22no—
432C22×Dic73—22no—
433C22×Dic73—22no—
434C22×Dic73—22no—
435C22×Dic73C2×D414yes—
436C22×Dic73C2411yescharacteristic
437C22×Dic73C2411yescharacteristic
438C22×Dic73C2411yescharacteristic
439C22×Dic73C2411yescharacteristic
440C22×Dic73C2411yescharacteristic
441C22×Dic73C2411yescharacteristic
442C22×Dic73C2411yescharacteristic
443C22×Dic73C2411yescharacteristic
444C22×Dic73C2411yescharacteristic
445C22×Dic73C2411yescharacteristic
446C22×Dic73C2411yescharacteristic
447C22×Dic73C2411yescharacteristic
448C22×Dic73C2411yescharacteristic
449C2×C4×D73—22no—
450C2×C4×D73—22no—
451C2×C4×D73—22no—
452C2×C4×D73—22no—
453C2×C4×D73—22no—
454C2×C4×D73—22no—
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—416no—
478C2×C4×D73—416no—
479C2×C4×D73—41no—
480C2×C4×D73—41no—
481C2×C4×D73—41no—
482C2×C4×D73—41no—
483C2×C4×D73—41no—
484C2×C4×D73—41no—
485C2×C4×D73—41no—
486C2×C4×D73—41no—
487C2×C4×D73—41no—
488C2×C4×D73C2×D414yes—
489C2×C4×D73#4114yes—
490C4⋊Dic73—22no—
491C4⋊Dic73—22no—
492C4⋊Dic73—22no—
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—22no—
508#11924007—22no—
509#11924007—41no—
510#11924007—41no—
511#11924007—41no—
512#11924007C2×D414yes—
513C22⋊Dic73—22no—
514C22⋊Dic73—22no—
515C22⋊Dic73—22no—
516C22⋊Dic73—22no—
517C22⋊Dic73—22no—
518C22⋊Dic73—22no—
519C22⋊Dic73—22no—
520C22⋊Dic73—22no—
521C22⋊Dic73—22no—
522C22⋊Dic73—22no—
523C22⋊Dic73—41no—
524C22⋊Dic73—41no—
525C22⋊Dic73—41no—
526C22⋊Dic73—41no—
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#11924005C2×D414yes—
547#11924005#4114yes—
548C4×Dic73—22no—
549C4×Dic73—22no—
550C4×Dic73—22no—
551C4×Dic73—22no—
552C4×Dic73—22no—
553C4×Dic73—22no—
554C4×Dic73—22no—
555C4×Dic73—22no—
556C4×Dic73—22no—
557C4×Dic73—22no—
558C4×Dic73—41no—
559C4×Dic73C2×D414yes—
560C24×C73C2411yescharacteristic
561C24×C73C2411yescharacteristic
562C24×C73C2411yescharacteristic
563C2×Q8×C73—22no—
564C2×Q8×C73—22no—
565C2×Q8×C73—41no—
566C2×D4×C73—22no—
567C2×D4×C73—22no—
568C2×D4×C73—22no—
569C2×D4×C73—22no—
570C2×D4×C73—22no—
571C2×D4×C73—22no—
572C2×D4×C73—41no—
573C2×D4×C73—41no—
574C2×D4×C73—41no—
575C22×C4×C73—22no—
576C22×C4×C73—22no—
577C22×C4×C73—22no—
578C22×C4×C73—22no—
579C22×C4×C73—41no—
580C22×C4×C73—41no—
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
590C22×C4×C73C2411yescharacteristic
591C22×C4×C73C2411yescharacteristic
592C22×C4×C73C2411yescharacteristic
593C4⋊C4×C73—22no—
594C4⋊C4×C73—22no—
595C4⋊C4×C73—41no—
596C22⋊C4×C73—22no—
597C22⋊C4×C73—22no—
598C22⋊C4×C73—22no—
599C22⋊C4×C73—22no—
600C22⋊C4×C73—22no—
601C22⋊C4×C73—22no—
602C22⋊C4×C73—22no—
603C22⋊C4×C73—22no—
604C22⋊C4×C73—41no—
605C22⋊C4×C73—41no—
606C22⋊C4×C73—41no—
607C22⋊C4×C73—41no—
608C22⋊C4×C73C2×D414yes—
609C42×C73—22no—
610C42×C73—22no—
611C42×C73—41no—
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×C73—21no—
625C23×C73—21no—
626C23×C73—21no—
627C23×C73—21no—
628C23×C73—21no—
629C23×C73—21no—
630C23×C73—21no—
631C23×C73C22×D412yes—
632C23×C73C2×#4112yes—
633C23×C73C2511yescharacteristic
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—28no—
643C22×D73—21no—
644C22×D73—21no—
645C22×D73—21no—
646C22×D73—21no—
647C22×D73—21no—
648C22×D73—21no—
649C22×D73—28no—
650C22×D73—28no—
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×D73C22×D412yes—
663C22×D73C2×#4112yes—
664C22×D73C2×#4112yes—
665C22×D73C2×#4112yes—
666C22×D73C2×#4112yes—
667C22×D73C2×#4112yes—
668C22×D73C2×#4112yes—
669Q8×C73—44no—
670D4×C73—28no—
671D4×C73—44no—
672D4×C73—44no—
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—
715C22⋊D73—44no—
716C2×Dic73—21no—
717C2×Dic73—21no—
718C2×Dic73—21no—
719C2×Dic73—21no—
720C2×Dic73—21no—
721C2×Dic73—21no—
722C2×Dic73—28no—
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—21no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—44no—
751C2×Dic73—44no—
752C2×Dic73C22×D412yes—
753C2×Dic73C22×D412yes—
754C2×Dic73C22×D412yes—
755C2×Dic73C2×#4112yes—
756C2×Dic73C2×#4112yes—
757C2×Dic73H(5,𝔽2)12yes—
758D292—28no—
759C4×D73—28no—
760C4×D73—28no—
761C4×D73—28no—
762C4×D73—44no—
763C4×D73—44no—
764C4×D73—44no—
765C4×D73—44no—
766C4×D73—44no—
767C4×D73—44no—
768C4×D73—44no—
769C4×D73—44no—
770C4×D73—44no—
771C4×D73—44no—
772C22×C73—22no—
773C22×C73—22no—
774C22×C73—22no—
775C22×C73—22no—
776C22×C73—22no—
777C22×C73—22no—
778C22×C73—41no—
779C22×C73—41no—
780C22×C73—41no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73—41no—
784C22×C73—41no—
785C22×C73—41no—
786C22×C73—41no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73—41no—
790C22×C73—41no—
791C22×C73—41no—
792C22×C73—41no—
793C22×C73C23×D411yescharacteristic
794C22×C73C22×#4111yescharacteristic
795C22×C73C22×#4111yescharacteristic
796C22×C73C22×#4111yescharacteristic
797C22×C73C22×#4111yescharacteristic
798C22×C73C2×H(5,𝔽2)11yescharacteristic
799C22×C73#58511yescharacteristic
800C2×D73—22no—
801C2×D73—22no—
802C2×D73—22no—
803C2×D73—22no—
804C2×D73—22no—
805C2×D73—22no—
806C2×D73—22no—
807C2×D73—22no—
808C2×D73—22no—
809C2×D73—22no—
810C2×D73—22no—
811C2×D73—22no—
812C2×D73—22no—
813C2×D73—22no—
814C2×D73—22no—
815C2×D73—416no—
816C2×D73—416no—
817C2×D73—41no—
818C2×D73—41no—
819C2×D73—41no—
820C2×D73—41no—
821C2×D73#52514yes—
822C2×D73#52914yescomplemented
823C4×C73—22no—
824C4×C73—22no—
825C4×C73—22no—
826C4×C73—22no—
827C4×C73—22no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73—41no—
831C4×C73—41no—
832C4×C73—41no—
833C4×C73—41no—
834C4×C73—41no—
835Dic73—22no—
836Dic73—22no—
837Dic73—22no—
838Dic73—41no—
839Dic73—41no—
840Dic73—41no—
841Dic73—41no—
842Dic73—41no—
843Dic73—41no—
844Dic73—41no—
845Dic73—41no—
846Dic73—41no—
847Dic73#54614yes—
848#34670—731nomaximal, Sylow
849C2×C73—42no—
850C2×C73—42no—
851C2×C73—81no—
852C2×C73C2×#52511yescharacteristic
853C2×C73C2×#52911yescharacteristic
854C2×C73#345911yescharacteristic
855C2×C73C2×#54611yescharacteristic
856C2×C73D4×#4111yescharacteristic
857C2×C73#347511yescharacteristic
858C2×C73#348111yescharacteristic
859D73—24no—
860D73—24no—
861D73—42no—
862C2×#529—731no—
863C22×C4×D4—731no—
864#2481—731no—
865#2480—731no—
866#2473—731no—
867#2472—731no—
868#2467—731no—
869#2466—731no—
870#2460—731no—
871#2459D7311yescharacteristic, complemented
872#2450—731no—
873#2444—731no—
874#2437—731no—
875#2425—731no—
876#2419—731no—
877#2412—731no—
878#2410—731no—
879#2405—731no—
880#2398—731no—
881#2395—731no—
882#2392—731no—
883#2392—731no—
884C4×C22⋊Q8—731no—
885C4×#123—731no—
886C4×#121—731no—
887C4×#120—731no—
888C4×#120—731no—
889#2290—731no—
890#2290—731no—
891#2280—731no—
892C2×C4×C22⋊C4—731no—
893C73#3467011yescharacteristic, complemented, Sylow
894C23×D4—731no—
895C24×C4—731no—
896C24×C4—731no—
897#529—1468no—
898C2×#126—731no—
899C2×#126—731no—
900C2×#125—731no—
901C2×#124C2×D7311yescharacteristic, complemented
902C2×#123—731no—
903C2×#123—731no—
904C2×#123—731no—
905C2×C22⋊Q8—731no—
906C2×C22⋊Q8—731no—
907C2×#121—731no—
908C2×#121—731no—
909C2×#120—731no—
910C2×#120—731no—
911C2×C4×Q8—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—
929C22×C4⋊C4—731no—
930C22×C22⋊C4—731no—
931C22×C22⋊C4—731no—
932C22×C22⋊C4—731no—
933C22×C22⋊C4—731no—
934C22×C42—731no—
935C22×C42—731no—
936C22×C42—731no—
937#400—731no—
938#400—731no—
939#400—731no—
940#399—731no—
941#398—731no—
942#398—731no—
943#398—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, complemented
965#393—731no—
966#393C2×D7311yescharacteristic, complemented
967#392—731no—
968#392C2×D7311yescharacteristic
969#391C2×D7311yescharacteristic, complemented
970#390—731no—
971#389—731no—
972#389—731no—
973#388—731no—
974#388—731no—
975#388—731no—
976#388—731no—
977#388—731no—
978#388C2×D7311yescharacteristic, complemented
979#388C2×D7311yescharacteristic, complemented
980#388C2×D7311yescharacteristic, complemented
981#387—731no—
982#387—731no—
983#387—731no—
984#387—731no—
985#387—731no—
986#387—731no—
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#386—731no—
998#386—731no—
999#386—731no—
1000#386C2×D7311yescharacteristic, complemented
1001#386C2×D7311yescharacteristic, complemented
1002#385—731no—
1003#385—731no—
1004#385—731no—
1005#385—731no—
1006#385—731no—
1007#385—731no—
1008#385—731no—
1009#385—731no—
1010#385—731no—
1011#385—731no—
1012#385—731no—
1013#385—731no—
1014#385—731no—
1015#381—731no—
1016#381—731no—
1017#381C2×D7311yescharacteristic, complemented
1018#380—731no—
1019#380—731no—
1020#380—731no—
1021#380—731no—
1022#380—731no—
1023#380—731no—
1024#379—731no—
1025#379—731no—
1026#379—731no—
1027#379—731no—
1028C4×C4⋊C4—731no—
1029C4×C4⋊C4—731no—
1030C4×C4⋊C4—731no—
1031C4×C4⋊C4—731no—
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⋊C4C2×D7311yescharacteristic, complemented
1048#376—731no—
1049C2×#95—731no—
1050C2×#95—731no—
1051C25—731no—
1052C25—731no—
1053C22×Q8C22×D7311yescharacteristic
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
1064C22×D4C22×D7311yescharacteristic
1065C22×D4C22×D7311yescharacteristic
1066C23×C4—2922no—
1067C23×C4—2922no—
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—731no—
1081C23×C4—731no—
1082C23×C4—731no—
1083C23×C4—731no—
1084C23×C4—1464no—
1085C23×C4—1464no—
1086C23×C4—1464no—
1087C23×C4—1464no—
1088C23×C4C22×D7311yescharacteristic
1089C23×C4C22×D7311yescharacteristic
1090#126—1464no—
1091#126—1464no—
1092#125—1464no—
1093#124—24no—
1094#123—1464no—
1095#123—1464no—
1096#123—1464no—
1097C22⋊Q8—1464no—
1098C22⋊Q8—1464no—
1099#121—1464no—
1100#121—1464no—
1101#120—1464no—
1102#120—1464no—
1103C4×Q8—1464no—
1104C4×D4—24no—
1105C4×D4—2922no—
1106C4×D4—2922no—
1107C4×D4—738no—
1108C4×D4—1464no—
1109C4×D4—1464no—
1110C4×D4—1464no—
1111C4×D4—1464no—
1112C4×D4—1464no—
1113C4×D4—1464no—
1114C4×D4—1464no—
1115C4×D4—1464no—
1116C4×D4—1464no—
1117#117—2922no—
1118#117—1464no—
1119#117—1464no—
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—731no—
1139C2×C4⋊C4—731no—
1140C2×C4⋊C4—731no—
1141C2×C4⋊C4—731no—
1142C2×C4⋊C4—731no—
1143C2×C4⋊C4—1464no—
1144C2×C4⋊C4C22×D7311yescharacteristic
1145C2×C4⋊C4C22×D7311yescharacteristic
1146C2×C4⋊C4C22×D7311yescharacteristic
1147C2×C22⋊C4—731no—
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—1464no—
1183C2×C22⋊C4—1464no—
1184C2×C22⋊C4—1464no—
1185C2×C22⋊C4—1464no—
1186C2×C22⋊C4C22×D7311yescharacteristic
1187C2×C22⋊C4C22×D7311yescharacteristic
1188C2×C22⋊C4C22×D7311yescharacteristic
1189C2×C22⋊C4C22×D7311yescharacteristic
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×C42—2922no—
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—1464no—
1213C2×C42—1464no—
1214C2×C42C22×D7311yescharacteristic
1215C2×C42C22×D7311yescharacteristic
1216C2×C42C22×D7311yescharacteristic
1217#95—731no—
1218#95—731no—
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#95—731no—
1242#95—731no—
1243#95C22×D7311yescharacteristic
1244#95C22×D7311yescharacteristic
1245#95C22×D7311yescharacteristic
1246#95C22×D7311yescharacteristic
1247#95C22×D7311yescharacteristic
1248#95C22×D7311yescharacteristic
1249#95C22×D7311yescharacteristic
1250#95C22×D7311yescharacteristic
1251#95C22×D7311yescharacteristic
1252#95C22×D7311yescharacteristic
1253C24—2921no—
1254C24—2921no—
1255C24—2921no—
1256C24—2921no—
1257C24—734no—
1258C24—731no—
1259C24—731no—
1260C24—731no—
1261C24—1462no—
1262C24—1462no—
1263C24—1462no—
1264C24—1462no—
1265C24—1462no—
1266C24—1462no—
1267C24—1462no—
1268C24—1462no—
1269C24—1462no—
1270C24C23×D7311yescharacteristic
1271C24C23×D7311yescharacteristic
1272C24C23×D7311yescharacteristic
1273C2×Q8—22no—
1274C2×Q8—22no—
1275C2×Q8—41no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—41no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—2921no—
1286C2×D4—734no—
1287C2×D4—734no—
1288C2×D4—1462no—
1289C2×D4—1462no—
1290C2×D4—1462no—
1291C2×D4—1462no—
1292C2×D4—14632no—
1293C2×D4—1462no—
1294C2×D4—1462no—
1295C2×D4—1462no—
1296C2×D4—1462no—
1297C2×D4—1462no—
1298C2×D4—1462no—
1299C2×D4—1462no—
1300C2×D4—1462no—
1301C2×D4—1462no—
1302C2×D4—1462no—
1303C2×D4—1462no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—2921no—
1311C22×C4—2921no—
1312C22×C4—2921no—
1313C22×C4—2921no—
1314C22×C4—2921no—
1315C22×C4—2921no—
1316C22×C4—2921no—
1317C22×C4—2921no—
1318C22×C4—2921no—
1319C22×C4—29216no—
1320C22×C4—29216no—
1321C22×C4—731no—
1322C22×C4—734no—
1323C22×C4—731no—
1324C22×C4—731no—
1325C22×C4—731no—
1326C22×C4—734no—
1327C22×C4—734no—
1328C22×C4—731no—
1329C22×C4—731no—
1330C22×C4—731no—
1331C22×C4—731no—
1332C22×C4—731no—
1333C22×C4—731no—
1334C22×C4—731no—
1335C22×C4—731no—
1336C22×C4—731no—
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×C4—1462no—
1365C22×C4—1462no—
1366C22×C4—1462no—
1367C22×C4—1462no—
1368C22×C4—1462no—
1369C22×C4—1462no—
1370C22×C4—1462no—
1371C22×C4—1462no—
1372C22×C4—1462no—
1373C22×C4C23×D7311yescharacteristic
1374C22×C4C23×D7311yescharacteristic
1375C22×C4C23×D7311yescharacteristic
1376C22×C4C23×D7311yescharacteristic
1377C22×C4C23×D7311yescharacteristic
1378C22×C4C23×D7311yescharacteristic
1379C22×C4C23×D7311yescharacteristic
1380C22×C4C23×D7311yescharacteristic
1381C22×C4C23×D7311yescharacteristic
1382C22×C4C23×D7311yescharacteristic
1383C22×C4C23×D7311yescharacteristic
1384C22×C4C23×D7311yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—41no—
1388C4⋊C4—2921no—
1389C4⋊C4—2921no—
1390C4⋊C4—2921no—
1391C4⋊C4—2921no—
1392C4⋊C4—2921no—
1393C4⋊C4—734no—
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—
1405C4⋊C4—1462no—
1406C4⋊C4—1462no—
1407C4⋊C4—1462no—
1408C4⋊C4—1462no—
1409C4⋊C4—1462no—
1410C4⋊C4—1462no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—22no—
1418C22⋊C4—22no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—2921no—
1424C22⋊C4—2921no—
1425C22⋊C4—2921no—
1426C22⋊C4—2921no—
1427C22⋊C4—2921no—
1428C22⋊C4—2921no—
1429C22⋊C4—2921no—
1430C22⋊C4—734no—
1431C22⋊C4—734no—
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⋊C4D4×D7314yes—
1459C42—22no—
1460C42—22no—
1461C42—41no—
1462C42—2921no—
1463C42—734no—
1464C42—1462no—
1465C42—1462no—
1466C42—1462no—
1467C42—1462no—
1468C42—1462no—
1469C42—1462no—
1470C42—1462no—
1471C42—1462no—
1472C42—1462no—
1473C42—1462no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—2924no—
1494C23—2924no—
1495C23—2924no—
1496C23—2924no—
1497C23—2924no—
1498C23—2924no—
1499C23—2924no—
1500C23—2924no—
1501C23—2924no—
1502C23—2924no—
1503C23—2924no—
1504C23—732no—
1505C23—732no—
1506C23—732no—
1507C23—732no—
1508C23—732no—
1509C23—732no—
1510C23—732no—
1511C23—1468no—
1512C23—1468no—
1513C23—1468no—
1514C23—1461no—
1515C23—1461no—
1516C23—1461no—
1517C23—1461no—
1518C23—1461no—
1519C23—1461no—
1520C23—1461no—
1521C23—1461no—
1522C23—1461no—
1523C23—1461no—
1524C23—1461no—
1525C23—1461no—
1526C23—1461no—
1527C23—1461no—
1528C23C2×D4×D7312yes—
1529C23#41×D7312yes—
1530C23C24×D7311yescharacteristic
1531Q8—44no—
1532D4—28no—
1533D4—44no—
1534D4—44no—
1535D4—2924no—
1536D4—2924no—
1537D4—2924no—
1538D4—1468no—
1539D4—1468no—
1540D4—1468no—
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—44no—
1573C2×C4—44no—
1574C2×C4—2924no—
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—2924no—
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×C4—1461no—
1626C2×C4—1461no—
1627C2×C4—1461no—
1628C2×C4—1461no—
1629C2×C4C2×D4×D7312yes—
1630C2×C4C2×D4×D7312yes—
1631C2×C4#41×D7312yes—
1632C2×C4#41×D7312yes—
1633C2×C4#41×D7312yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—29216no—
1656C22—29216no—
1657C22—2921no—
1658C22—2921no—
1659C22—2921no—
1660C22—2921no—
1661C22—734no—
1662C22—734no—
1663C22—1462no—
1664C22—1462no—
1665C22—1462no—
1666C22—1462no—
1667C22—1462no—
1668C22—1462no—
1669C22—1462no—
1670C22—1462no—
1671C22—1462no—
1672C22—1462no—
1673C22—1462no—
1674C22—1462no—
1675C22—1462no—
1676C22—1462no—
1677C22—1462no—
1678C22C22×D4×D7311yescharacteristic
1679C22C2×#41×D7311yescharacteristic
1680C22C2×#41×D7311yescharacteristic
1681C22C2×#41×D7311yescharacteristic
1682C22C2×#41×D7311yescharacteristic
1683C22H(5,𝔽2)×D7311yescharacteristic
1684C22#1798942211yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—2921no—
1698C4—2921no—
1699C4—2921no—
1700C4—2921no—
1701C4—2921no—
1702C4—2921no—
1703C4—2921no—
1704C4—2921no—
1705C4—2921no—
1706C4—734no—
1707C4—1462no—
1708C4—1462no—
1709C4—1462no—
1710C2—42no—
1711C2—42no—
1712C2—81no—
1713C2—2922no—
1714C2—1464no—
1715C2—1464no—
1716C2#525×D7311yescharacteristic
1717C2#529×D7311yescharacteristic
1718C2#2262334211yescharacteristic
1719C2#546×D7311yescharacteristic
1720C2#2262341511yescharacteristic
1721C2#2262348811yescharacteristic
1722C2#2262354011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2459C2
prime radical#22613298C2
hypercenter#2459D73
hypocenterC73#34670
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2459

Complements

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

NH ≅ G/Ntype
1. C2×#17989116C2semidirect
2. C2×C4×D4×D73C2semidirect
3. #22614198C2semidirect
4. #22614175C2semidirect
5. #22614076C2semidirect
6. #22614053C2semidirect
7. #22613984C2semidirect
8. #22613961C2semidirect
9. #22613883C2semidirect
10. #22613752C2semidirect
11. #22613678C2semidirect
12. #22613591C2semidirect
13. #22613487C2semidirect
14. #22613405C2semidirect
15. #22613322C2semidirect
17. #22613253C2semidirect
18. #22613213C2semidirect
19. #22613187C2semidirect
20. #22613174C2semidirect
21. #22613166C2semidirect
22. #22612469C2semidirect
23. #22612452C2semidirect
24. #22612443C2semidirect
25. #22612436C2semidirect
26. #22612436C2semidirect
27. #22612373C2semidirect
28. #22612373C2semidirect
29. #22612311C2semidirect
30. C4×C22⋊C4×D73C2semidirect
31. C73×#2459C2semidirect
36. C2×#14556584C22semidirect
37. C2×#14556584C22semidirect
38. C2×#14556583C22semidirect
41. C2×#14556573C22semidirect
43. C2×#14556567C22semidirect
48. C2×Q8×Dic73C22semidirect
51. C2×D4×Dic73C22semidirect
52. C2×D4×Dic73C22semidirect
59. C2×#14556551C22semidirect
60. C2×#14556551C22semidirect
62. C2×#14556547C22semidirect
63. C2×#14556547C22semidirect
64. C2×#14556547C22semidirect
71. C2×C42×D73C22semidirect
72. C2×C42×D73C22semidirect
73. #17988529C22semidirect
74. #17988529C22semidirect
75. #17988529C22semidirect
76. #17988523C22semidirect
77. #17988521C22semidirect
78. #17988520C22semidirect
79. #17988519C22semidirect
80. #17988515C22semidirect
81. #17988515C22semidirect
82. #17988515C22semidirect
83. #17988514C22semidirect
84. #17988512C22semidirect
85. #17988512C22semidirect
86. #17988512C22semidirect
87. #17988510C22semidirect
88. #17988510C22semidirect
89. #17988510C22semidirect
90. #17988509C22semidirect
93. #17988503C22semidirect
97. #17988501C22semidirect
98. #17988501C22semidirect
99. #17988498C22semidirect
101. #17988487C22semidirect
102. #17988485C22semidirect
103. #17988482C22semidirect
104. #17988480C22semidirect
105. #17988480C22semidirect
106. #17988479C22semidirect
107. #17988478C22semidirect
108. #17988478C22semidirect
109. #17988474C22semidirect
110. #17988474C22semidirect
111. #17988471C22semidirect
112. #17988471C22semidirect
113. #17988469C22semidirect
114. #17988469C22semidirect
115. #17988468C22semidirect
124. #17988463C22semidirect
125. #17988463C22semidirect
126. #17988463C22semidirect
132. #17988461C22semidirect
133. #17988461C22semidirect
134. #17988461C22semidirect
135. #17988461C22semidirect
136. #17988460C22semidirect
137. #17988460C22semidirect
139. #17988458C22semidirect
140. #17988450C22semidirect
141. #17988449C22semidirect
144. #17988446C22semidirect
145. #17988446C22semidirect
146. #17988446C22semidirect
152. C4⋊C4×Dic73C22semidirect
153. C4⋊C4×Dic73C22semidirect
154. #17988438C22semidirect
155. #17988438C22semidirect
156. C22⋊C4×Dic73C22semidirect
157. C22⋊C4×Dic73C22semidirect
158. C22⋊C4×Dic73C22semidirect
159. C22⋊C4×Dic73C22semidirect
160. C22⋊C4×Dic73C22semidirect
163. C4×C22⋊Dic73C22semidirect
167. #17988434C22semidirect
168. #17988434C22semidirect
169. #17988434C22semidirect
170. #17988434C22semidirect
171. #17988432C22semidirect
172. #95×D73C22semidirect
173. #95×D73C22semidirect
174. C2×#124×C73C22semidirect
177. #394×C73C22semidirect
178. #393×C73C22semidirect
180. #391×C73C22semidirect
181. #388×C73C22semidirect
182. #388×C73C22semidirect
183. #388×C73C22semidirect
184. #387×C73C22semidirect
185. #386×C73C22semidirect
186. #386×C73C22semidirect
187. #381×C73C22semidirect
188. C4×C22⋊C4×C73C22semidirect
246. #14556551D4semidirect
822. C2×D73#529semidirect
871. #2459D73semidirect
893. C73#34670semidirect
901. C2×#124C2×D73semidirect
964. #394C2×D73semidirect
966. #393C2×D73semidirect
969. #391C2×D73semidirect
978. #388C2×D73semidirect
979. #388C2×D73semidirect
980. #388C2×D73semidirect
988. #387C2×D73semidirect
1000. #386C2×D73semidirect
1001. #386C2×D73semidirect
1017. #381C2×D73semidirect
1047. C4×C22⋊C4C2×D73semidirect

Maximal subgroups

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

subgroupindex
C2×#179891162
C2×C4×D4×D732
#226141982
#226141752
#226140762
#226140532
#226139842
#226139612
#226138832
#226137522
#226136782
#226135912
#226134872
#226134052
#226133222
#226132982
#226132532
#226132132
#226131872
#226131742
#226131662
#226124692
#226124522
#226124432
#226124362
#226123732
#226123112
C4×C22⋊C4×D732
C73×#24592
#3467073