Finite Group Databasebeta

← #33256165

Subgroups — #33256165

Order 18688.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17989123C211yesmaximal, characteristic, complemented
2C2×#17989093C211yesmaximal, characteristic, complemented
3#22615076C211yesmaximal, characteristic, complemented
4#22615061C211yesmaximal, characteristic, complemented
5#22615046C211yesmaximal, characteristic, complemented
6#22615031C211yesmaximal, characteristic, complemented
7#22615022C211yesmaximal, characteristic, complemented
8#22615002C211yesmaximal, characteristic, complemented
9#22614996C211yesmaximal, characteristic, complemented
10#22614981C211yesmaximal, characteristic, complemented
11#22614939C211yesmaximal, characteristic, complemented
12#22614895C211yesmaximal, characteristic, complemented
13#22614859C211yesmaximal, characteristic, complemented
14#22614824C211yesmaximal, characteristic, complemented
15#22614251C211yesmaximal, characteristic, complemented
16#22613484C211yesmaximal, characteristic, complemented
17#22613467C211yesmaximal, characteristic, complemented
18#22613198C211yesmaximal, characteristic, complemented
19#22613193C211yesmaximal, characteristic, complemented
20#22613170C211yesmaximal, characteristic, complemented
21#22613145C211yesmaximal, characteristic, complemented
22#124×Dic73C211yesmaximal, characteristic, complemented
23#22612456C211yesmaximal, characteristic, complemented
24#22612443C211yesmaximal, characteristic, complemented
25#22612441C211yesmaximal, characteristic, complemented
26#22612430C211yesmaximal, characteristic, complemented
27#22612418C211yesmaximal, characteristic, complemented
28#22612391C211yesmaximal, characteristic, complemented
29C4×#14556551C211yesmaximal, characteristic, complemented
30C2×C22⋊C4×Dic73C211yesmaximal, characteristic, complemented
31C73×#2472C211yesmaximal, characteristic, complemented
32C22×#11924027C2211yescharacteristic
33C24×Dic73C2211yescharacteristic
34#17989123—28no—
35C2×#14556586C2211yescharacteristic, complemented
36C2×#14556586C2211yescharacteristic, complemented
37C2×#14556582C2211yescharacteristic, complemented
38C2×#14556580C2211yescharacteristic, complemented
39#17989093—28no—
40C2×#14556575C2211yescharacteristic
41C2×#14556575C2211yescharacteristic
42C2×#14556575C2211yescharacteristic
43C2×#14556572C2211yescharacteristic
44C2×#14556572C2211yescharacteristic
45C2×#14556568C2211yescharacteristic
46C2×#14556568C2211yescharacteristic
47C2×#14556565C2211yescharacteristic
48C2×#14556564C2211yescharacteristic
49C2×#14556563C2211yescharacteristic
50C2×#14556563C2211yescharacteristic
51C2×#14556563C2211yescharacteristic
52C2×#14556560C2211yescharacteristic
53C2×#14556560C2211yescharacteristic
54C2×Q8×Dic73C2211yescharacteristic, complemented
55C2×D4×Dic73C2211yescharacteristic
56C2×D4×Dic73C2211yescharacteristic
57C2×#14556553C2211yescharacteristic, complemented
58C2×C4×C22⋊D73C2211yescharacteristic
59C2×#14556551C2211yescharacteristic
60C2×#14556551C2211yescharacteristic
61C2×#14556551C2211yescharacteristic
62C2×#14556551C2211yescharacteristic
63C2×#14556551C2211yescharacteristic
64C2×#14556551C2211yescharacteristic
65C2×#14556551C2211yescharacteristic, complemented
66C2×#14556549C2211yescharacteristic, complemented
67C2×#14556549C2211yescharacteristic, complemented
68C2×#14556547C2211yescharacteristic
69C22×C22⋊Dic73C2211yescharacteristic
70C22×C4×Dic73C2211yescharacteristic
71C22×C4×Dic73C2211yescharacteristic
72C2×C42×D73C2211yescharacteristic, complemented
73#17988527C2211yescharacteristic, complemented
74#17988527C2211yescharacteristic, complemented
75#17988523C2211yescharacteristic
76#17988523C2211yescharacteristic
77#17988521C2211yescharacteristic, complemented
78#17988521C2211yescharacteristic, complemented
79#17988518C2211yescharacteristic, complemented
80#17988517C2211yescharacteristic, complemented
81#17988516C2211yescharacteristic, complemented
82#17988516C2211yescharacteristic, complemented
83#17988514C2211yescharacteristic, complemented
84#17988510C2211yescharacteristic
85#17988510C2211yescharacteristic
86#17988510C2211yescharacteristic
87#17988510C2211yescharacteristic, complemented
88#17988507C2211yescharacteristic, complemented
89#17988506C2211yescharacteristic, complemented
90#17988502C2211yescharacteristic
91#17988502C2211yescharacteristic
92#17988502C2211yescharacteristic
93#17988502C2211yescharacteristic
94#17988502C2211yescharacteristic, complemented
95#17988502C2211yescharacteristic, complemented
96#17988500C2211yescharacteristic, complemented
97#17988496C2211yescharacteristic
98#17988496C2211yescharacteristic, complemented
99#17988495C2211yescharacteristic
100#17988495C2211yescharacteristic
101#17988494C2211yescharacteristic, complemented
102#17988493C2211yescharacteristic, complemented
103#17988492C2211yescharacteristic, complemented
104#17988490C2211yescharacteristic
105#17988490C2211yescharacteristic
106#17988487C2211yescharacteristic
107#17988487C2211yescharacteristic
108#17988487C2211yescharacteristic
109#17988487C2211yescharacteristic, complemented
110#17988484C2211yescharacteristic, complemented
111#17988484C2211yescharacteristic, complemented
112#17988482C2211yescharacteristic, complemented
113#17988482C2211yescharacteristic, complemented
114#17988481C2211yescharacteristic, complemented
115#17988481C2211yescharacteristic, complemented
116#17988480C2211yescharacteristic
117#17988480C2211yescharacteristic
118#17988480C2211yescharacteristic
119#17988480C2211yescharacteristic, complemented
120#17988480C2211yescharacteristic, complemented
121#17988479C2211yescharacteristic, complemented
122#17988478C2211yescharacteristic, complemented
123#17988478C2211yescharacteristic, complemented
124#17988476C2211yescharacteristic, complemented
125#17988475C2211yescharacteristic, complemented
126#17988474C2211yescharacteristic, complemented
127#17988474C2211yescharacteristic, complemented
128#17988466C2211yescharacteristic
129#17988465C2211yescharacteristic, complemented
130#17988464C2211yescharacteristic
131#17988464C2211yescharacteristic
132#17988464C2211yescharacteristic
133#17988463C2211yescharacteristic
134#17988463C2211yescharacteristic
135#17988463C2211yescharacteristic
136#17988463C2211yescharacteristic, complemented
137#17988463C2211yescharacteristic, complemented
138#17988460C2211yescharacteristic
139#17988459C2211yescharacteristic
140#17988459C2211yescharacteristic
141#17988459C2211yescharacteristic
142#17988453C2211yescharacteristic, complemented
143#17988448C2211yescharacteristic
144#17988446C2211yescharacteristic, complemented
145#17988445C2211yescharacteristic
146C4×#11924007C2211yescharacteristic, complemented
147#17988438C2211yescharacteristic, complemented
148#17988438C2211yescharacteristic, complemented
149#17988438C2211yescharacteristic, complemented
150#17988438C2211yescharacteristic, complemented
151#17988438C2211yescharacteristic, complemented
152C22⋊C4×Dic73C2211yescharacteristic
153C22⋊C4×Dic73C2211yescharacteristic
154C22⋊C4×Dic73C2211yescharacteristic
155C22⋊C4×Dic73C2211yescharacteristic
156C22⋊C4×Dic73C2211yescharacteristic
157C22⋊C4×Dic73C2211yescharacteristic
158C22⋊C4×Dic73C2211yescharacteristic
159C22⋊C4×Dic73C2211yescharacteristic
160C22⋊C4×Dic73C2211yescharacteristic
161C22⋊C4×Dic73C2211yescharacteristic
162C22⋊C4×Dic73C2211yescharacteristic
163C22⋊C4×Dic73C2211yescharacteristic
164C22⋊C4×Dic73C2211yescharacteristic, complemented
165C22⋊C4×Dic73C2211yescharacteristic, complemented
166C22⋊C4×Dic73C2211yescharacteristic, complemented
167C4×#11924005C2211yescharacteristic, complemented
168#17988434C2211yescharacteristic, complemented
169#17988434C2211yescharacteristic, complemented
170#17988434C2211yescharacteristic, complemented
171C2×#14556498C2211yescharacteristic
172C2×#14556498C2211yescharacteristic
173C42×Dic73C2211yescharacteristic, complemented
174C2×#124×C73C2211yescharacteristic
175C2×C22⋊Q8×C73C2211yescharacteristic
176C2×#120×C73C2211yescharacteristic
177C22×C22⋊C4×C73C2211yescharacteristic
178#397×C73C2211yescharacteristic
179#394×C73C2211yescharacteristic
180#394×C73C2211yescharacteristic
181#393×C73C2211yescharacteristic
182#390×C73C2211yescharacteristic
183#388×C73C2211yescharacteristic
184#388×C73C2211yescharacteristic
185#386×C73C2211yescharacteristic
186#386×C73C2211yescharacteristic
187#379×C73C2211yescharacteristic
188C4×C22⋊C4×C73C2211yescharacteristic
189C2×#11924027—24no—
190C2×#11924027—24no—
191C2×#11924027—42no—
192C22×Dic146C2311yescharacteristic
193C22×D292C2311yescharacteristic
194C22×C22⋊D73C2311yescharacteristic
195C22×C22⋊D73C2311yescharacteristic
196C22×C22⋊D73C2311yescharacteristic
197C22×C22⋊D73C2311yescharacteristic
198C22×C22⋊D73C2311yescharacteristic
199C22×C22⋊D73C2311yescharacteristic
200C22×C22⋊D73C2311yescharacteristic
201C22×C22⋊D73C2311yescharacteristic
202C23×Dic73—24no—
203C23×Dic73—24no—
204C23×Dic73—42no—
205C23×Dic73C2311yescharacteristic
206C23×Dic73C2311yescharacteristic
207C23×Dic73C2311yescharacteristic
208C23×Dic73C2311yescharacteristic
209C23×Dic73C2311yescharacteristic
210C23×Dic73C2311yescharacteristic
211C23×Dic73C2311yescharacteristic
212C23×Dic73C2311yescharacteristic
213C23×Dic73C2311yescharacteristic
214C22×C4×D73C2311yescharacteristic
215C22×C4×D73C2311yescharacteristic
216C22×C4×D73C2311yescharacteristic
217C22×C4×D73C2311yescharacteristic
218#14556586—24no—
219#14556586—24no—
220#14556582—24no—
221#14556580—24no—
222#14556575—24no—
223#14556575—24no—
224#14556575—24no—
225#14556572—24no—
226#14556572—24no—
227#14556568—24no—
228#14556568—24no—
229#14556565—24no—
230#14556564—24no—
231#14556563—24no—
232#14556563—24no—
233#14556563—24no—
234#14556560—24no—
235#14556560—24no—
236Q8×Dic73—24no—
237D4×Dic73—24no—
238D4×Dic73—24no—
239#14556553—24no—
240C4×C22⋊D73—24no—
241#14556551—24no—
242#14556551—24no—
243#14556551—24no—
244#14556551—24no—
245#14556551—42no—
246#14556551—42no—
247#14556551D418yescomplemented
248#14556549—24no—
249#14556549—24no—
250#14556547—24no—
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
273C2×#11924007C2311yescharacteristic
274C2×C22⋊Dic73—24no—
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×C22⋊Dic73C2311yescharacteristic
289C2×C22⋊Dic73C2311yescharacteristic
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×C4×Dic73—24no—
307C2×C4×Dic73—42no—
308C2×C4×Dic73C2311yescharacteristic
309C2×C4×Dic73C2311yescharacteristic
310C2×C4×Dic73C2311yescharacteristic
311C2×C4×Dic73C2311yescharacteristic
312C2×C4×Dic73C2311yescharacteristic
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—42no—
326#14556498C2311yescharacteristic
327#14556498C2311yescharacteristic
328#14556498C2311yescharacteristic
329#14556498C2311yescharacteristic
330#14556498C2311yescharacteristic
331#14556498C2311yescharacteristic
332#14556498C2311yescharacteristic
333#14556498C2311yescharacteristic
334#14556498C2311yescharacteristic
335#14556498C2311yescharacteristic
336#14556498C2311yescharacteristic
337#14556498C2311yescharacteristic
338#14556498C2311yescharacteristic
339#14556498C2311yescharacteristic
340#14556498C2311yescharacteristic
341#14556498C2311yescharacteristic
342#14556498C2311yescharacteristic
343#14556498C2311yescharacteristic
344#14556498C2311yescharacteristic
345#14556498C2311yescharacteristic
346#14556498C2311yescharacteristic
347#14556498C2311yescharacteristic
348#14556498C2311yescharacteristic
349#14556498C2311yescharacteristic
350#14556498C2311yescharacteristic
351#14556498C2311yescharacteristic
352C25×C73C2311yescharacteristic
353C22×Q8×C73C2311yescharacteristic
354C22×D4×C73C2311yescharacteristic
355C22×D4×C73C2311yescharacteristic
356C22×D4×C73C2311yescharacteristic
357C23×C4×C73C2311yescharacteristic
358C23×C4×C73C2311yescharacteristic
359#124×C73—24no—
360C22⋊Q8×C73—24no—
361#120×C73—24no—
362C2×C4⋊C4×C73C2311yescharacteristic
363C2×C4⋊C4×C73C2311yescharacteristic
364C2×C4⋊C4×C73C2311yescharacteristic
365C2×C22⋊C4×C73—24no—
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×C22⋊C4×C73C2311yescharacteristic
379C2×C22⋊C4×C73C2311yescharacteristic
380C2×C22⋊C4×C73C2311yescharacteristic
381C2×C22⋊C4×C73C2311yescharacteristic
382C2×C22⋊C4×C73C2311yescharacteristic
383C2×C42×C73C2311yescharacteristic
384C2×C42×C73C2311yescharacteristic
385#95×C73C2311yescharacteristic
386#95×C73C2311yescharacteristic
387#95×C73C2311yescharacteristic
388#95×C73C2311yescharacteristic
389#95×C73C2311yescharacteristic
390#95×C73C2311yescharacteristic
391C23×D73C2411yescharacteristic
392C23×D73C2411yescharacteristic
393#11924027—416no—
394C2×Dic146—22no—
395C2×Dic146—22no—
396C2×Dic146—41no—
397C2×D292—22no—
398C2×D292—22no—
399C2×D292—41no—
400C2×C22⋊D73—22no—
401C2×C22⋊D73—22no—
402C2×C22⋊D73—22no—
403C2×C22⋊D73—22no—
404C2×C22⋊D73—22no—
405C2×C22⋊D73—22no—
406C2×C22⋊D73—22no—
407C2×C22⋊D73—22no—
408C2×C22⋊D73—22no—
409C2×C22⋊D73—22no—
410C2×C22⋊D73—22no—
411C2×C22⋊D73—22no—
412C2×C22⋊D73—22no—
413C2×C22⋊D73—22no—
414C2×C22⋊D73—22no—
415C2×C22⋊D73—22no—
416C2×C22⋊D73—41no—
417C2×C22⋊D73—41no—
418C2×C22⋊D73—41no—
419C2×C22⋊D73—41no—
420C2×C22⋊D73—41no—
421C2×C22⋊D73—41no—
422C2×C22⋊D73—41no—
423C2×C22⋊D73C2×D414yes—
424C22×Dic73—22no—
425C22×Dic73—22no—
426C22×Dic73—22no—
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×Dic73—22no—
436C22×Dic73—22no—
437C22×Dic73—22no—
438C22×Dic73—22no—
439C22×Dic73—22no—
440C22×Dic73—22no—
441C22×Dic73—22no—
442C22×Dic73—22no—
443C22×Dic73—41no—
444C22×Dic73—41no—
445C22×Dic73—41no—
446C22×Dic73—41no—
447C22×Dic73—41no—
448C22×Dic73—416no—
449C22×Dic73C2×D414yes—
450C22×Dic73#4114yes—
451C22×Dic73#4114yescomplemented
452C22×Dic73C2411yescharacteristic
453C22×Dic73C2411yescharacteristic
454C22×Dic73C2411yescharacteristic
455C22×Dic73C2411yescharacteristic
456C22×Dic73C2411yescharacteristic
457C22×Dic73C2411yescharacteristic
458C22×Dic73C2411yescharacteristic
459C22×Dic73C2411yescharacteristic
460C22×Dic73C2411yescharacteristic
461C22×Dic73C2411yescharacteristic
462C22×Dic73C2411yescharacteristic
463C22×Dic73C2411yescharacteristic
464C22×Dic73C2411yescharacteristic
465C22×Dic73C2411yescharacteristic
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—41no—
475C2×C4×D73—41no—
476C2×C4×D73—41no—
477C2×C4×D73C2×D414yes—
478C4⋊Dic73—22no—
479C4⋊Dic73—22no—
480C4⋊Dic73—22no—
481C4⋊Dic73—22no—
482C4⋊Dic73—22no—
483C4⋊Dic73—22no—
484C4⋊Dic73—22no—
485#11924007—22no—
486#11924007—22no—
487#11924007—22no—
488#11924007—22no—
489#11924007—22no—
490#11924007—22no—
491#11924007—22no—
492#11924007—22no—
493#11924007—22no—
494#11924007—22no—
495#11924007—22no—
496#11924007—41no—
497#11924007—41no—
498#11924007—41no—
499#11924007—41no—
500#11924007C2×D414yes—
501C22⋊Dic73—22no—
502C22⋊Dic73—22no—
503C22⋊Dic73—22no—
504C22⋊Dic73—22no—
505C22⋊Dic73—22no—
506C22⋊Dic73—22no—
507C22⋊Dic73—22no—
508C22⋊Dic73—22no—
509C22⋊Dic73—22no—
510C22⋊Dic73—22no—
511C22⋊Dic73—22no—
512C22⋊Dic73—22no—
513C22⋊Dic73—22no—
514C22⋊Dic73—22no—
515C22⋊Dic73#4114yescomplemented
516#11924005—22no—
517#11924005—22no—
518#11924005—22no—
519#11924005—22no—
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—41no—
530#11924005—41no—
531#11924005C2×D414yes—
532C4×Dic73—22no—
533C4×Dic73—22no—
534C4×Dic73—22no—
535C4×Dic73—22no—
536C4×Dic73—22no—
537C4×Dic73—22no—
538C4×Dic73—22no—
539C4×Dic73—22no—
540C4×Dic73—22no—
541C4×Dic73—22no—
542C4×Dic73—22no—
543C4×Dic73—22no—
544C4×Dic73—41no—
545C4×Dic73—41no—
546C4×Dic73—41no—
547C4×Dic73—41no—
548C4×Dic73C2×D414yes—
549C24×C73—22no—
550C24×C73—22no—
551C24×C73—22no—
552C24×C73—22no—
553C24×C73—22no—
554C24×C73—41no—
555C24×C73—41no—
556C24×C73C2411yescharacteristic
557C24×C73C2411yescharacteristic
558C24×C73C2411yescharacteristic
559C24×C73C2411yescharacteristic
560C2×Q8×C73—22no—
561C2×Q8×C73—22no—
562C2×Q8×C73—41no—
563C2×D4×C73—22no—
564C2×D4×C73—22no—
565C2×D4×C73—22no—
566C2×D4×C73—22no—
567C2×D4×C73—22no—
568C2×D4×C73—22no—
569C2×D4×C73—22no—
570C2×D4×C73—41no—
571C2×D4×C73—41no—
572C22×C4×C73—22no—
573C22×C4×C73—22no—
574C22×C4×C73—22no—
575C22×C4×C73—22no—
576C22×C4×C73—41no—
577C22×C4×C73—41no—
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
589C4⋊C4×C73—22no—
590C4⋊C4×C73—22no—
591C4⋊C4×C73—22no—
592C22⋊C4×C73—22no—
593C22⋊C4×C73—22no—
594C22⋊C4×C73—22no—
595C22⋊C4×C73—22no—
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—41no—
604C22⋊C4×C73—41no—
605C22⋊C4×C73—41no—
606C22⋊C4×C73—41no—
607C22⋊C4×C73C2×D414yes—
608C22⋊C4×C73#4114yescomplemented
609C42×C73—22no—
610C42×C73—41no—
611C23×C73—21no—
612C23×C73—21no—
613C23×C73—21no—
614C23×C73—21no—
615C23×C73—28no—
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×C73—21no—
632C23×C73—21no—
633C23×C73—21no—
634C23×C73—21no—
635C23×C73—44no—
636C23×C73—44no—
637C23×C73—44no—
638C23×C73—44no—
639C23×C73—44no—
640C23×C73—44no—
641C23×C73C22×D412yes—
642C23×C73C2×#4112yes—
643C23×C73C2×#4112yes—
644C23×C73C2×#4112yes—
645C23×C73C2×#4112yes—
646C23×C73C2511yescharacteristic
647C22×D73—21no—
648C22×D73—21no—
649C22×D73—21no—
650C22×D73—21no—
651C22×D73—21no—
652C22×D73—21no—
653C22×D73—21no—
654C22×D73—21no—
655C22×D73—21no—
656C22×D73—21no—
657C22×D73—21no—
658C22×D73—21no—
659C22×D73—21no—
660C22×D73C22×D412yes—
661Q8×C73—44no—
662D4×C73—44no—
663D4×C73—44no—
664D4×C73—44no—
665C2×C4×C73—21no—
666C2×C4×C73—21no—
667C2×C4×C73—21no—
668C2×C4×C73—21no—
669C2×C4×C73—21no—
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—44no—
695C2×C4×C73—44no—
696C2×C4×C73C22×D412yes—
697C2×C4×C73C22×D412yes—
698C2×C4×C73C2×#4112yes—
699C2×C4×C73C2×#4112yes—
700C22⋊D73—28no—
701C22⋊D73—44no—
702C22⋊D73—44no—
703C22⋊D73—44no—
704C22⋊D73—44no—
705C22⋊D73—44no—
706C22⋊D73—44no—
707C22⋊D73—44no—
708C2×Dic73—21no—
709C2×Dic73—21no—
710C2×Dic73—21no—
711C2×Dic73—21no—
712C2×Dic73—21no—
713C2×Dic73—21no—
714C2×Dic73—21no—
715C2×Dic73—21no—
716C2×Dic73—21no—
717C2×Dic73—21no—
718C2×Dic73—21no—
719C2×Dic73—21no—
720C2×Dic73—21no—
721C2×Dic73—21no—
722C2×Dic73—28no—
723C2×Dic73—28no—
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—44no—
743C2×Dic73—44no—
744C2×Dic73—44no—
745C2×Dic73—44no—
746C2×Dic73—44no—
747C2×Dic73—44no—
748C2×Dic73—44no—
749C2×Dic73C22×D412yes—
750C2×Dic73C22×D412yes—
751C2×Dic73C22×D412yes—
752C2×Dic73C2×#4112yes—
753C2×Dic73C2×#4112yes—
754C2×Dic73C2×#4112yes—
755C2×Dic73C2×#4112yes—
756C2×Dic73C2×#4112yes—
757C2×Dic73C2×#4112yes—
758C2×Dic73H(5,𝔽2)12yes—
759D292—44no—
760C4×D73—28no—
761C4×D73—44no—
762C4×D73—44no—
763C4×D73—44no—
764Dic146—44no—
765C22×C73—22no—
766C22×C73—22no—
767C22×C73—22no—
768C22×C73—22no—
769C22×C73—22no—
770C22×C73—22no—
771C22×C73—22no—
772C22×C73—22no—
773C22×C73—22no—
774C22×C73—22no—
775C22×C73—22no—
776C22×C73—22no—
777C22×C73—416no—
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×C73#53214yes—
794C22×C73C23×D411yescharacteristic
795C22×C73C22×#4111yescharacteristic
796C22×C73C22×#4111yescharacteristic
797C22×C73C22×#4111yescharacteristic
798C22×C73C22×#4111yescharacteristic
799C22×C73C2×H(5,𝔽2)11yescharacteristic
800C22×C73#58511yescharacteristic
801C2×D73—22no—
802C2×D73—22no—
803C2×D73—22no—
804C2×D73—41no—
805C2×D73—41no—
806C2×D73—41no—
807C2×D73—41no—
808C2×D73—41no—
809C2×D73—41no—
810C2×D73—41no—
811C2×D73—41no—
812C2×D73—41no—
813C2×D73—41no—
814C2×D73—41no—
815C4×C73—22no—
816C4×C73—22no—
817C4×C73—22no—
818C4×C73—22no—
819C4×C73—41no—
820C4×C73—41no—
821C4×C73—41no—
822C4×C73—41no—
823C4×C73—41no—
824C4×C73—41no—
825C4×C73—41no—
826Dic73—22no—
827Dic73—22no—
828Dic73—22no—
829Dic73—22no—
830Dic73—22no—
831Dic73—22no—
832Dic73—22no—
833Dic73—41no—
834Dic73—41no—
835Dic73—41no—
836Dic73—41no—
837Dic73—41no—
838Dic73—41no—
839Dic73#54614yes—
840#34829—731nomaximal, Sylow
841C2×C73—24no—
842C2×C73—42no—
843C2×C73—42no—
844C2×C73—81no—
845C2×C73C2×#53211yescharacteristic
846C2×C73#344411yescharacteristic
847C2×C73#345911yescharacteristic
848C2×C73C2×#54611yescharacteristic
849C2×C73D4×#4111yescharacteristic
850C2×C73#347511yescharacteristic
851C2×C73#348111yescharacteristic
852D73—42no—
853D73—81no—
854C2×#529—731no—
855C2×#525—731no—
856#2560—731no—
857#2559—731no—
858#2558—731no—
859#2557—731no—
860#2556—731no—
861#2555—731no—
862#2554—731no—
863#2553—731no—
864#2549—731no—
865#2543—731no—
866#2539—731no—
867#2534—731no—
868#2488—731no—
869#2472D7311yescharacteristic, complemented
870#2425—731no—
871#2424—731no—
872#2396—731no—
873#2395—731no—
874#2392—731no—
875#2388—731no—
876C4×#124—731no—
877C4×#123—731no—
878C4×#121—731no—
879C4×#121—731no—
880C4×#120—731no—
881#2297—731no—
882#2293—731no—
883C42×D4—731no—
884C2×C4×C22⋊C4—731no—
885C73#3482911yescharacteristic, complemented, Sylow
886C22×#41—731no—
887C24×C4—731no—
888#529—1468no—
889C2×#126—731no—
890C2×#126—731no—
891C2×#125—731no—
892C2×#124—731no—
893C2×#124C2×D7311yescharacteristic
894#525—1468no—
895C2×#123—731no—
896C2×#123—731no—
897C2×#123—731no—
898C2×#123—731no—
899C2×#123—731no—
900C2×C22⋊Q8—731no—
901C2×C22⋊Q8—731no—
902C2×C22⋊Q8C2×D7311yescharacteristic
903C2×#121—731no—
904C2×#121—731no—
905C2×#121—731no—
906C2×#121—731no—
907C2×#121—731no—
908C2×#120—731no—
909C2×#120—731no—
910C2×#120C2×D7311yescharacteristic
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×#117—731no—
924C2×#117—731no—
925C2×#117—731no—
926C22×C22⋊C4—731no—
927C22×C22⋊C4C2×D7311yescharacteristic
928C22×C42—731no—
929C22×C42—731no—
930C22×C42—731no—
931#400—731no—
932#400—731no—
933#399—731no—
934#399—731no—
935#398—731no—
936#398—731no—
937#398—731no—
938#398—731no—
939#397—731no—
940#397—731no—
941#397—731no—
942#397C2×D7311yescharacteristic
943#396—731no—
944#396—731no—
945#396—731no—
946#396—731no—
947#395—731no—
948#395—731no—
949#394—731no—
950#394—731no—
951#394—731no—
952#394—731no—
953#394—731no—
954#394—731no—
955#394C2×D7311yescharacteristic
956#394C2×D7311yescharacteristic
957#393—731no—
958#393C2×D7311yescharacteristic
959#392—731no—
960#392—731no—
961#392—731no—
962#392—731no—
963#391—731no—
964#391—731no—
965#391—731no—
966#390—731no—
967#390—731no—
968#390—731no—
969#390—731no—
970#390—731no—
971#390—731no—
972#390C2×D7311yescharacteristic
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#388—731no—
985#388—731no—
986#388—731no—
987#388—731no—
988#388—731no—
989#388C2×D7311yescharacteristic
990#388C2×D7311yescharacteristic
991#387—731no—
992#387—731no—
993#386—731no—
994#386—731no—
995#386—731no—
996#386—731no—
997#386—731no—
998#386—731no—
999#386—731no—
1000#386—731no—
1001#386—731no—
1002#386—731no—
1003#386C2×D7311yescharacteristic
1004#386C2×D7311yescharacteristic
1005#385—731no—
1006#385—731no—
1007#385—731no—
1008#385—731no—
1009#382—731no—
1010#381—731no—
1011#380—731no—
1012#380—731no—
1013#379C2×D7311yescharacteristic
1014C4×C4⋊C4—731no—
1015C4×C4⋊C4—731no—
1016C4×C4⋊C4—731no—
1017C4×C4⋊C4—731no—
1018C4×C4⋊C4—731no—
1019C4×C4⋊C4—731no—
1020C4×C22⋊C4—731no—
1021C4×C22⋊C4—731no—
1022C4×C22⋊C4—731no—
1023C4×C22⋊C4—731no—
1024C4×C22⋊C4—731no—
1025C4×C22⋊C4—731no—
1026C4×C22⋊C4—731no—
1027C4×C22⋊C4—731no—
1028C4×C22⋊C4—731no—
1029C4×C22⋊C4—731no—
1030C4×C22⋊C4—731no—
1031C4×C22⋊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⋊C4C2×D7311yescharacteristic
1040C2×#95—731no—
1041C2×#95—731no—
1042C43—731no—
1043C25C22×D7311yescharacteristic
1044C2×#41—2922no—
1045C2×#41—1464no—
1046C2×#41—1464no—
1047C22×Q8—731no—
1048C22×Q8C22×D7311yescharacteristic
1049C22×D4—731no—
1050C22×D4—731no—
1051C22×D4—731no—
1052C22×D4—731no—
1053C22×D4—731no—
1054C22×D4—731no—
1055C22×D4—731no—
1056C22×D4—731no—
1057C22×D4—731no—
1058C22×D4C22×D7311yescharacteristic
1059C22×D4C22×D7311yescharacteristic
1060C22×D4C22×D7311yescharacteristic
1061C23×C4—2922no—
1062C23×C4—731no—
1063C23×C4—731no—
1064C23×C4—731no—
1065C23×C4—731no—
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—1464no—
1076C23×C4—1464no—
1077C23×C4C22×D7311yescharacteristic
1078C23×C4C22×D7311yescharacteristic
1079#126—1464no—
1080#126—1464no—
1081#125—1464no—
1082#124—24no—
1083#124—1464no—
1084#123—1464no—
1085#123—1464no—
1086#123—1464no—
1087#123—1464no—
1088#123—1464no—
1089C22⋊Q8—24no—
1090C22⋊Q8—1464no—
1091C22⋊Q8—1464no—
1092#121—1464no—
1093#121—1464no—
1094#121—1464no—
1095#121—1464no—
1096#121—1464no—
1097#120—24no—
1098#120—1464no—
1099#120—1464no—
1100C4×Q8—1464no—
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—
1112#117—1464no—
1113#117—1464no—
1114#117—1464no—
1115C2×C4⋊C4—731no—
1116C2×C4⋊C4—731no—
1117C2×C4⋊C4—731no—
1118C2×C4⋊C4—731no—
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⋊C4C22×D7311yescharacteristic
1139C2×C4⋊C4C22×D7311yescharacteristic
1140C2×C4⋊C4C22×D7311yescharacteristic
1141C2×C22⋊C4—24no—
1142C2×C22⋊C4—731no—
1143C2×C22⋊C4—731no—
1144C2×C22⋊C4—731no—
1145C2×C22⋊C4—731no—
1146C2×C22⋊C4—731no—
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—1464no—
1174C2×C22⋊C4C22×D7311yescharacteristic
1175C2×C22⋊C4C22×D7311yescharacteristic
1176C2×C22⋊C4C22×D7311yescharacteristic
1177C2×C22⋊C4C22×D7311yescharacteristic
1178C2×C22⋊C4C22×D7311yescharacteristic
1179C2×C22⋊C4C22×D7311yescharacteristic
1180C2×C22⋊C4C22×D7311yescharacteristic
1181C2×C22⋊C4C22×D7311yescharacteristic
1182C2×C22⋊C4C22×D7311yescharacteristic
1183C2×C22⋊C4C22×D7311yescharacteristic
1184C2×C22⋊C4C22×D7311yescharacteristic
1185C2×C22⋊C4C22×D7311yescharacteristic
1186C2×C22⋊C4C22×D7311yescharacteristic
1187C2×C22⋊C4C22×D7311yescharacteristic
1188C2×C22⋊C4C22×D7311yescharacteristic
1189C2×C22⋊C4C22×D7311yescharacteristic
1190C2×C22⋊C4C22×D7311yescharacteristic
1191C2×C42—2922no—
1192C2×C42—2922no—
1193C2×C42—731no—
1194C2×C42—731no—
1195C2×C42—731no—
1196C2×C42—731no—
1197C2×C42—731no—
1198C2×C42—731no—
1199C2×C42—731no—
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—1464no—
1211C2×C42C22×D7311yescharacteristic
1212C2×C42C22×D7311yescharacteristic
1213#95—731no—
1214#95—731no—
1215#95—731no—
1216#95—731no—
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#95C22×D7311yescharacteristic
1240#95C22×D7311yescharacteristic
1241#95C22×D7311yescharacteristic
1242#95C22×D7311yescharacteristic
1243#95C22×D7311yescharacteristic
1244#95C22×D7311yescharacteristic
1245C24—22no—
1246C24—22no—
1247C24—22no—
1248C24—22no—
1249C24—22no—
1250C24—41no—
1251C24—41no—
1252C24—731no—
1253C24—731no—
1254C24C23×D7311yescharacteristic
1255C24C23×D7311yescharacteristic
1256C24C23×D7311yescharacteristic
1257C24C23×D7311yescharacteristic
1258#41—29216no—
1259C2×Q8—22no—
1260C2×Q8—22no—
1261C2×Q8—41no—
1262C2×Q8—2921no—
1263C2×Q8—1462no—
1264C2×Q8—1462no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—2921no—
1275C2×D4—2921no—
1276C2×D4—2921no—
1277C2×D4—2921no—
1278C2×D4—2921no—
1279C2×D4—2921no—
1280C2×D4—2921no—
1281C2×D4—2921no—
1282C2×D4—734no—
1283C2×D4—1462no—
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—1462no—
1297C2×D4—1462no—
1298C2×D4—1462no—
1299C2×D4—1462no—
1300C2×D4—1462no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—2921no—
1308C22×C4—2921no—
1309C22×C4—2921no—
1310C22×C4—2921no—
1311C22×C4—2921no—
1312C22×C4—2921no—
1313C22×C4—2921no—
1314C22×C4—2921no—
1315C22×C4—29216no—
1316C22×C4—734no—
1317C22×C4—731no—
1318C22×C4—734no—
1319C22×C4—734no—
1320C22×C4—731no—
1321C22×C4—731no—
1322C22×C4—731no—
1323C22×C4—731no—
1324C22×C4—731no—
1325C22×C4—731no—
1326C22×C4—731no—
1327C22×C4—734no—
1328C22×C4—731no—
1329C22×C4—731no—
1330C22×C4—731no—
1331C22×C4—731no—
1332C22×C4—731no—
1333C22×C4—731no—
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×C4C23×D7311yescharacteristic
1362C22×C4C23×D7311yescharacteristic
1363C22×C4C23×D7311yescharacteristic
1364C22×C4C23×D7311yescharacteristic
1365C22×C4C23×D7311yescharacteristic
1366C22×C4C23×D7311yescharacteristic
1367C22×C4C23×D7311yescharacteristic
1368C22×C4C23×D7311yescharacteristic
1369C22×C4C23×D7311yescharacteristic
1370C22×C4C23×D7311yescharacteristic
1371C22×C4C23×D7311yescharacteristic
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—2921no—
1376C4⋊C4—2921no—
1377C4⋊C4—2921no—
1378C4⋊C4—2921no—
1379C4⋊C4—734no—
1380C4⋊C4—1462no—
1381C4⋊C4—1462no—
1382C4⋊C4—1462no—
1383C4⋊C4—1462no—
1384C4⋊C4—1462no—
1385C4⋊C4—1462no—
1386C4⋊C4—1462no—
1387C4⋊C4—1462no—
1388C4⋊C4—1462no—
1389C4⋊C4—1462no—
1390C4⋊C4—1462no—
1391C4⋊C4—1462no—
1392C4⋊C4—1462no—
1393C4⋊C4—1462no—
1394C4⋊C4—1462no—
1395C4⋊C4—1462no—
1396C4⋊C4—1462no—
1397C4⋊C4—1462no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—2921no—
1414C22⋊C4—2921no—
1415C22⋊C4—734no—
1416C22⋊C4—734no—
1417C22⋊C4—1462no—
1418C22⋊C4—1462no—
1419C22⋊C4—1462no—
1420C22⋊C4—1462no—
1421C22⋊C4—1462no—
1422C22⋊C4—1462no—
1423C22⋊C4—1462no—
1424C22⋊C4—1462no—
1425C22⋊C4—1462no—
1426C22⋊C4—1462no—
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⋊C4D4×D7314yes—
1445C22⋊C4#1192402714yescomplemented
1446C42—22no—
1447C42—41no—
1448C42—2921no—
1449C42—2921no—
1450C42—2921no—
1451C42—2921no—
1452C42—734no—
1453C42—1462no—
1454C42—1462no—
1455C42—1462no—
1456C42—1462no—
1457C42—1462no—
1458C42—1462no—
1459C42—1462no—
1460C42—1462no—
1461C42—1462no—
1462C42—1462no—
1463C42—1462no—
1464C42—1462no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—28no—
1470C23—21no—
1471C23—21no—
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—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—44no—
1490C23—44no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—44no—
1495C23—732no—
1496C23—1461no—
1497C23—1461no—
1498C23—1461no—
1499C23—1461no—
1500C23—1461no—
1501C23—1461no—
1502C23—1461no—
1503C23—1461no—
1504C23—1461no—
1505C23—1461no—
1506C23—1461no—
1507C23—1461no—
1508C23—1461no—
1509C23C2×D4×D7312yes—
1510C23#41×D7312yes—
1511C23#41×D7312yes—
1512C23#41×D7312yes—
1513C23C2×#1192402712yes—
1514C23C24×D7311yescharacteristic
1515Q8—44no—
1516Q8—2924no—
1517D4—44no—
1518D4—44no—
1519D4—44no—
1520D4—2924no—
1521D4—2924no—
1522D4—2924no—
1523D4—2924no—
1524D4—2924no—
1525D4—2924no—
1526D4—2924no—
1527D4—2924no—
1528D4—1468no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
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—44no—
1559C2×C4—44no—
1560C2×C4—2924no—
1561C2×C4—2924no—
1562C2×C4—2924no—
1563C2×C4—2924no—
1564C2×C4—2924no—
1565C2×C4—2924no—
1566C2×C4—2924no—
1567C2×C4—2924no—
1568C2×C4—2924no—
1569C2×C4—2924no—
1570C2×C4—732no—
1571C2×C4—732no—
1572C2×C4—732no—
1573C2×C4—732no—
1574C2×C4—732no—
1575C2×C4—732no—
1576C2×C4—732no—
1577C2×C4—732no—
1578C2×C4—732no—
1579C2×C4—732no—
1580C2×C4—1468no—
1581C2×C4—1461no—
1582C2×C4—1461no—
1583C2×C4—1461no—
1584C2×C4—1461no—
1585C2×C4—1461no—
1586C2×C4—1461no—
1587C2×C4—1461no—
1588C2×C4—1461no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4—1461no—
1593C2×C4—1461no—
1594C2×C4—1461no—
1595C2×C4—1461no—
1596C2×C4—1461no—
1597C2×C4—1461no—
1598C2×C4—1461no—
1599C2×C4—1468no—
1600C2×C4—1468no—
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×C4C2×D4×D7312yes—
1616C2×C4C2×D4×D7312yes—
1617C2×C4C2×#1192402712yes—
1618C2×C4C2×#1192402712yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—416no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—2921no—
1648C22—2921no—
1649C22—2921no—
1650C22—2921no—
1651C22—2921no—
1652C22—2921no—
1653C22—2921no—
1654C22—2921no—
1655C22—2921no—
1656C22—2921no—
1657C22—2921no—
1658C22—1462no—
1659C22—1462no—
1660C22—1462no—
1661C22#1798913614yes—
1662C22C22×D4×D7311yescharacteristic
1663C22C2×#41×D7311yescharacteristic
1664C22C2×#41×D7311yescharacteristic
1665C22C2×#41×D7311yescharacteristic
1666C22C22×#1192402711yescharacteristic
1667C22H(5,𝔽2)×D7311yescharacteristic
1668C22#1798942211yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—2921no—
1681C4—2921no—
1682C4—2921no—
1683C4—2921no—
1684C4—2921no—
1685C4—2921no—
1686C4—734no—
1687C4—1462no—
1688C4—1462no—
1689C4—1462no—
1690C4—1462no—
1691C4—1462no—
1692C4—1462no—
1693C4—1462no—
1694C2—24no—
1695C2—42no—
1696C2—42no—
1697C2—81no—
1698C2—2922no—
1699C2—5841no—
1700C2C2×#1798913611yescharacteristic
1701C2#2262322311yescharacteristic
1702C2#2262334211yescharacteristic
1703C2#546×D7311yescharacteristic
1704C2D4×#1192402711yescharacteristic
1705C2#2262348611yescharacteristic
1706C2#2262353611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D73
commutator, socle, cosocleC23×C73C25
FittingC73×#2472C2
hypercenter#2472D73
hypocenterC73#34829
LCSG ▷ C23×C73 ▷ C73
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. C2×#17989123C2semidirect
2. C2×#17989093C2semidirect
3. #22615076C2semidirect
4. #22615061C2semidirect
5. #22615046C2semidirect
6. #22615031C2semidirect
7. #22615022C2semidirect
8. #22615002C2semidirect
9. #22614996C2semidirect
10. #22614981C2semidirect
11. #22614939C2semidirect
12. #22614895C2semidirect
13. #22614859C2semidirect
14. #22614824C2semidirect
15. #22614251C2semidirect
16. #22613484C2semidirect
17. #22613467C2semidirect
18. #22613198C2semidirect
19. #22613193C2semidirect
20. #22613170C2semidirect
21. #22613145C2semidirect
22. #124×Dic73C2semidirect
23. #22612456C2semidirect
24. #22612443C2semidirect
25. #22612441C2semidirect
26. #22612430C2semidirect
27. #22612418C2semidirect
28. #22612391C2semidirect
29. C4×#14556551C2semidirect
30. C2×C22⋊C4×Dic73C2semidirect
31. C73×#2472C2semidirect
35. C2×#14556586C22semidirect
36. C2×#14556586C22semidirect
37. C2×#14556582C22semidirect
38. C2×#14556580C22semidirect
54. C2×Q8×Dic73C22semidirect
57. C2×#14556553C22semidirect
65. C2×#14556551C22semidirect
66. C2×#14556549C22semidirect
67. C2×#14556549C22semidirect
72. C2×C42×D73C22semidirect
73. #17988527C22semidirect
74. #17988527C22semidirect
77. #17988521C22semidirect
78. #17988521C22semidirect
79. #17988518C22semidirect
80. #17988517C22semidirect
81. #17988516C22semidirect
82. #17988516C22semidirect
83. #17988514C22semidirect
87. #17988510C22semidirect
88. #17988507C22semidirect
89. #17988506C22semidirect
94. #17988502C22semidirect
95. #17988502C22semidirect
96. #17988500C22semidirect
98. #17988496C22semidirect
101. #17988494C22semidirect
102. #17988493C22semidirect
103. #17988492C22semidirect
109. #17988487C22semidirect
110. #17988484C22semidirect
111. #17988484C22semidirect
112. #17988482C22semidirect
113. #17988482C22semidirect
114. #17988481C22semidirect
115. #17988481C22semidirect
119. #17988480C22semidirect
120. #17988480C22semidirect
121. #17988479C22semidirect
122. #17988478C22semidirect
123. #17988478C22semidirect
124. #17988476C22semidirect
125. #17988475C22semidirect
126. #17988474C22semidirect
127. #17988474C22semidirect
129. #17988465C22semidirect
136. #17988463C22semidirect
137. #17988463C22semidirect
142. #17988453C22semidirect
144. #17988446C22semidirect
146. C4×#11924007C22semidirect
147. #17988438C22semidirect
148. #17988438C22semidirect
149. #17988438C22semidirect
150. #17988438C22semidirect
151. #17988438C22semidirect
164. C22⋊C4×Dic73C22semidirect
165. C22⋊C4×Dic73C22semidirect
166. C22⋊C4×Dic73C22semidirect
167. C4×#11924005C22semidirect
168. #17988434C22semidirect
169. #17988434C22semidirect
170. #17988434C22semidirect
173. C42×Dic73C22semidirect
247. #14556551D4semidirect
451. C22×Dic73#41semidirect
515. C22⋊Dic73#41semidirect
608. C22⋊C4×C73#41semidirect
869. #2472D73semidirect
885. C73#34829semidirect
1445. C22⋊C4#11924027semidirect

Maximal subgroups

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

subgroupindex
C2×#179891232
C2×#179890932
#226150762
#226150612
#226150462
#226150312
#226150222
#226150022
#226149962
#226149812
#226149392
#226148952
#226148592
#226148242
#226142512
#226134842
#226134672
#226131982
#226131932
#226131702
#226131452
#124×Dic732
#226124562
#226124432
#226124412
#226124302
#226124182
#226123912
C4×#145565512
C2×C22⋊C4×Dic732
C73×#24722
#3482973