Finite Group Databasebeta

← #33969111

Subgroups — #33969111

Order 18688.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624037C211yesmaximal, characteristic, complemented
2#22623950C211yesmaximal, characteristic, complemented
3#22622972C211yesmaximal, characteristic, complemented
4#22622880C211yesmaximal, characteristic, complemented
5#22622685C211yesmaximal, characteristic, complemented
6#22622657C211yesmaximal, characteristic, complemented
7#22622491C211yesmaximal, characteristic, complemented
8#22622434C211yesmaximal, characteristic, complemented
9#22622424C211yesmaximal, characteristic, complemented
10#22622179C211yesmaximal, characteristic, complemented
11#22622169C211yesmaximal, characteristic, complemented
12#22622123C211yesmaximal, characteristic, complemented
13#22622068C211yesmaximal, characteristic, complemented
14#22621939C211yesmaximal, characteristic, complemented
15#22621547C211yesmaximal, characteristic, complemented
16#22621424C211yesmaximal, characteristic, complemented
17#22621424C211yesmaximal, characteristic, complemented
18#22620609C211yesmaximal, characteristic, complemented
19#22620580C211yesmaximal, characteristic, complemented
20#22620519C211yesmaximal, characteristic, complemented
21#22620220C211yesmaximal, characteristic, complemented
22#22620176C211yesmaximal, characteristic, complemented
23#22620133C211yesmaximal, characteristic, complemented
24#22620116C211yesmaximal, characteristic, complemented
25#22620077C211yesmaximal, characteristic, complemented
26#22620070C211yesmaximal, characteristic, complemented
27#22618910C211yesmaximal, characteristic, complemented
28#22618787C211yesmaximal, characteristic, complemented
29#22618757C211yesmaximal, characteristic, complemented
30#22618735C211yesmaximal, characteristic, complemented
31C73×#3310C211yesmaximal, characteristic, complemented
32C2×#14556617C2211yescharacteristic
33C2×#14556617C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989322C2211yescharacteristic, complemented
36#17989321—21no—
37#17989314C2211yescharacteristic, complemented
38#17989301C2211yescharacteristic
39#17989300—21no—
40#17989300C2211yescharacteristic, complemented
41#17989296C2211yescharacteristic
42#17989289C2211yescharacteristic
43#17989288—21no—
44#17989285C2211yescharacteristic, complemented
45#17989283C2211yescharacteristic
46#17989280—21no—
47#17989269—21no—
48#17989258C2211yescharacteristic, complemented
49#17989257C2211yescharacteristic
50#17989247C2211yescharacteristic, complemented
51#17989247C2211yescharacteristic, complemented
52#17989231—21no—
53#17989224—21no—
54#17989224—21no—
55D4×C22⋊D73C2211yescharacteristic
56D4×C22⋊D73C2211yescharacteristic
57#17989210C2211yescharacteristic, complemented
58#17989203—21no—
59#17989193C2211yescharacteristic, complemented
60#17989191C2211yescharacteristic
61#17989190C2211yescharacteristic
62#17989189—21no—
63#17989174—21no—
64#17989172—21no—
65#17989132C2211yescharacteristic
66#17989123C2211yescharacteristic, complemented
67#17989122—21no—
68#17989117C2211yescharacteristic
69#17989115—21no—
70#17989093—21no—
71C2×#14556563—21no—
72#17989068C2211yescharacteristic, complemented
73#17989063C2211yescharacteristic, complemented
74#17989062C2211yescharacteristic
75#17989059C2211yescharacteristic
76#17989055C2211yescharacteristic, complemented
77C2×D4×Dic73C2211yescharacteristic
78#17988995C2211yescharacteristic, complemented
79#17988994C2211yescharacteristic, complemented
80#17988986C2211yescharacteristic, complemented
81#17988973C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic, complemented
83#17988963C2211yescharacteristic, complemented
84#17988952C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988948C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988925C2211yescharacteristic, complemented
90#17988915C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic, complemented
92#17988913C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic, complemented
95#17988910C2211yescharacteristic, complemented
96#17988909C2211yescharacteristic, complemented
97#17988905C2211yescharacteristic, complemented
98#17988901C2211yescharacteristic, complemented
99#17988895C2211yescharacteristic, complemented
100#17988894C2211yescharacteristic, complemented
101#17988893C2211yescharacteristic, complemented
102#17988890C2211yescharacteristic, complemented
103#17988885C2211yescharacteristic
104#17988885C2211yescharacteristic, complemented
105#17988884C2211yescharacteristic, complemented
106#17988875C2211yescharacteristic
107#17988871C2211yescharacteristic, complemented
108#17988866C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic, complemented
110#17988840C2211yescharacteristic, complemented
111#17988839C2211yescharacteristic, complemented
112#17988839C2211yescharacteristic, complemented
113#17988838C2211yescharacteristic, complemented
114#17988838C2211yescharacteristic, complemented
115#17988835C2211yescharacteristic, complemented
116#17988835C2211yescharacteristic, complemented
117#17988823C2211yescharacteristic, complemented
118#17988822C2211yescharacteristic, complemented
119#17988822C2211yescharacteristic, complemented
120#17988804C2211yescharacteristic
121#17988804C2211yescharacteristic
122#17988804C2211yescharacteristic, complemented
123#17988804C2211yescharacteristic, complemented
124#17988786C2211yescharacteristic, complemented
125#17988786C2211yescharacteristic, complemented
126#17988784C2211yescharacteristic, complemented
127#17988783C2211yescharacteristic, complemented
128#17988782C2211yescharacteristic
129#17988781C2211yescharacteristic, complemented
130#17988781C2211yescharacteristic, complemented
131#17988734C2211yescharacteristic, complemented
132#17988734C2211yescharacteristic, complemented
133#17988730C2211yescharacteristic, complemented
134#17988730C2211yescharacteristic, complemented
135#17988724C2211yescharacteristic, complemented
136#17988724C2211yescharacteristic, complemented
137#17988722C2211yescharacteristic
138#17988722C2211yescharacteristic
139#17988721C2211yescharacteristic
140#17988721C2211yescharacteristic
141#17988715C2211yescharacteristic, complemented
142#17988714C2211yescharacteristic, complemented
143#17988698C2211yescharacteristic, complemented
144#17988696C2211yescharacteristic
145#17988696C2211yescharacteristic
146#17988696C2211yescharacteristic, complemented
147#17988696C2211yescharacteristic, complemented
148#17988696C2211yescharacteristic, complemented
149#17988696C2211yescharacteristic, complemented
150#17988689C2211yescharacteristic, complemented
151#17988688C2211yescharacteristic
152#17988688C2211yescharacteristic, complemented
153#17988686C2211yescharacteristic, complemented
154#17988684C2211yescharacteristic
155#17988684C2211yescharacteristic
156#17988684C2211yescharacteristic, complemented
157#17988684C2211yescharacteristic, complemented
158#17988678C2211yescharacteristic
159#17988678C2211yescharacteristic, complemented
160#17988678C2211yescharacteristic, complemented
161SD16×Dic73C2211yescharacteristic, complemented
162C4×#11924015C2211yescharacteristic, complemented
163C4×#11924016C2211yescharacteristic
164#17988672C2211yescharacteristic, complemented
165#17988669C2211yescharacteristic, complemented
166#17988667C2211yescharacteristic
167#17988667C2211yescharacteristic
168#17988667C2211yescharacteristic, complemented
169#17988667C2211yescharacteristic, complemented
170#17988665C2211yescharacteristic, complemented
171#17988663C2211yescharacteristic, complemented
172#17988661C2211yescharacteristic, complemented
173#17988661C2211yescharacteristic, complemented
174#17988658C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988630C2211yescharacteristic, complemented
179#17988627C2211yescharacteristic, complemented
180#17988624C2211yescharacteristic, complemented
181#17988594C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic
183#17988589C2211yescharacteristic, complemented
184#17988584C2211yescharacteristic, complemented
185#17988544C2211yescharacteristic, complemented
186#17988542C2211yescharacteristic, complemented
187M16×Dic73C2211yescharacteristic, complemented
188#552×C73C2211yescharacteristic, complemented
189D42×C73C2211yescharacteristic
190#490×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic
194#468×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic
198#450×C73C2211yescharacteristic
199#440×C73C2211yescharacteristic
200#435×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic
202C2×#102×C73C2211yescharacteristic
203C2×#11924028C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924027—21no—
206C2×#11924027—21no—
207C2×Q8×D73C2311yescharacteristic
208C22×C22⋊D73—21no—
209C22×C22⋊D73—21no—
210C2×D4×D73C2311yescharacteristic
211C23×Dic73—21no—
212#14556617—24no—
213#14556617—24no—
214C2×#11924017C2311yescharacteristic
215C2×#11924016C2311yescharacteristic
216C2×#11924016C2311yescharacteristic
217C2×#11924016C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219SD16×D73—24no—
220C2×D584C2311yescharacteristic
221C2×D584C2311yescharacteristic
222C2×#11924013C2311yescharacteristic
223C2×#11924013C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924012C2311yescharacteristic
229C2×#11924012C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C2×C8×D73C2311yescharacteristic
232#14556590—21no—
233#14556590C2311yescharacteristic
234#14556590C2311yescharacteristic
235#14556588C2311yescharacteristic
236#14556587—21no—
237#14556587C2311yescharacteristic
238#14556587C2311yescharacteristic
239#14556586—21no—
240#14556586—21no—
241#14556586—21no—
242#14556586—21no—
243#14556586D411yescharacteristic
244#14556584—21no—
245#14556584D411yescharacteristic
246#14556583C2311yescharacteristic
247#14556582C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556581—21no—
250#14556581—21no—
251#14556581D411yescharacteristic
252#14556580C2311yescharacteristic
253#14556580C2311yescharacteristic
254#14556579—21no—
255#14556579—21no—
256#14556578—21no—
257#14556577—21no—
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577D411yescharacteristic
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556575—21no—
270#14556575—21no—
271#14556575—21no—
272#14556575D411yescharacteristic
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556572—21no—
277#14556572—21no—
278#14556572D411yescharacteristic
279#14556571—21no—
280#14556570—21no—
281#14556569—21no—
282#14556569—21no—
283#14556568—21no—
284#14556568—21no—
285#14556568D411yescharacteristic
286#14556566—21no—
287#14556566—21no—
288#14556566C2311yescharacteristic
289#14556566C2311yescharacteristic
290#14556565—21no—
291#14556565C2311yescharacteristic
292#14556565C2311yescharacteristic
293#14556565C2311yescharacteristic
294#14556565C2311yescharacteristic
295#14556564—21no—
296#14556564—21no—
297#14556564—21no—
298#14556564—21no—
299#14556564—21no—
300#14556563—21no—
301#14556563—21no—
302#14556563—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563D411yescharacteristic
312#14556562—21no—
313#14556562—21no—
314#14556562C2311yescharacteristic
315#14556562C2311yescharacteristic
316#14556560—21no—
317#14556560—21no—
318#14556559—21no—
319#14556559—21no—
320Q8×Dic73C2311yescharacteristic
321C4×Dic146—21no—
322C4×Dic146C2311yescharacteristic
323C4×Dic146C2311yescharacteristic
324#14556556—21no—
325#14556556—21no—
326#14556556C2311yescharacteristic
327#14556556C2311yescharacteristic
328#14556556C2311yescharacteristic
329C4×D292—21no—
330C4×D292C2311yescharacteristic
331D4×Dic73—21no—
332D4×Dic73—21no—
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73—21no—
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343#14556553—21no—
344#14556553—21no—
345#14556553—21no—
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73C2311yescharacteristic
356C4×C22⋊D73C2311yescharacteristic
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556550C2311yescharacteristic
364#14556550C2311yescharacteristic
365#14556549—21no—
366#14556549—21no—
367#14556549—21no—
368#14556549C2311yescharacteristic
369#14556549C2311yescharacteristic
370#14556548—21no—
371#14556548—21no—
372#14556548—21no—
373#14556548C2311yescharacteristic
374#14556547—21no—
375C2×C4⋊Dic73C2311yescharacteristic
376C2×#11924007—21no—
377C4⋊C4×D73—21no—
378C2×C22⋊Dic73—21no—
379C2×C22⋊Dic73—21no—
380C2×C22⋊Dic73—21no—
381C2×#11924005—21no—
382C22⋊C4×D73—21no—
383C2×C4×Dic73C2311yescharacteristic
384C42×D73—21no—
385#14556525C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434C4×#10596831C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C22×D4×C73—21no—
439C22×D4×C73C2311yescharacteristic
440C22×D4×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×M16×C73C2311yescharacteristic
445C22×C8×C73C2311yescharacteristic
446#127×C73C2311yescharacteristic
447#126×C73—21no—
448#125×C73—21no—
449#125×C73C2311yescharacteristic
450#123×C73—21no—
451C22⋊Q8×C73C2311yescharacteristic
452C22⋊Q8×C73C2311yescharacteristic
453#121×C73—21no—
454#121×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456#120×C73—21no—
457#120×C73—21no—
458C4×Q8×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461#117×C73—21no—
462#117×C73C2311yescharacteristic
463C2×C4⋊C4×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482#11924028—22no—
483#11924028—22no—
484#11924028—41no—
485#11924028—41no—
486#11924027—82no—
487#11924027—82no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146C2×D411yescharacteristic
492C2×Dic146C2411yescharacteristic
493Q8×D73—22no—
494Q8×D73—41no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292C2411yescharacteristic
500C2×D292C2411yescharacteristic
501C2×D292C2411yescharacteristic
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—82no—
516C2×C22⋊D73—82no—
517C2×C22⋊D73C2×D411yescharacteristic
518C2×C22⋊D73C2×D411yescharacteristic
519D4×D73—22no—
520D4×D73—41no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—82no—
530C22×Dic73C2×D411yescharacteristic
531C22×Dic73C2×D411yescharacteristic
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73C2411yescharacteristic
542#11924017—22no—
543#11924016—22no—
544#11924016—22no—
545#11924016#4114yescomplemented
546#11924015—22no—
547D584—41no—
548D584—41no—
549#11924013—22no—
550#11924013—22no—
551#11924013—22no—
552#11924013—22no—
553#11924013—41no—
554#11924013—41no—
555#11924012—22no—
556#11924012—22no—
557#11924011—41no—
558C2×#10596831C2411yescharacteristic
559C2×#10596831C2411yescharacteristic
560C2×#10596831C2411yescharacteristic
561C2×#10596831C2411yescharacteristic
562C8×D73—22no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73C2×D411yescharacteristic
568C4⋊Dic73C2×D411yescharacteristic
569C4⋊Dic73C2×D411yescharacteristic
570C4⋊Dic73C2411yescharacteristic
571C4⋊Dic73C2411yescharacteristic
572C4⋊Dic73C2411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73C2×D411yescharacteristic
601C22⋊Dic73C2×D411yescharacteristic
602C22⋊Dic73C2×D411yescharacteristic
603C22⋊Dic73C2×D411yescharacteristic
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73C2×D411yescharacteristic
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2411yescharacteristic
637C4×Dic73C2411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C24×C73—21no—
640C24×C73—21no—
641C2×Q8×C73C2411yescharacteristic
642C2×D4×C73—22no—
643C2×D4×C73—22no—
644C2×D4×C73—21no—
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—41no—
651C2×D4×C73—41no—
652C2×D4×C73—82no—
653C2×D4×C73C2×D411yescharacteristic
654C2×D4×C73C2411yescharacteristic
655C2×D4×C73C2411yescharacteristic
656C2×D4×C73C2411yescharacteristic
657C22×C4×C73—21no—
658C22×C4×C73—21no—
659C22×C4×C73C2411yescharacteristic
660C22×C4×C73C2411yescharacteristic
661SD16×C73—22no—
662SD16×C73—41no—
663SD16×C73—41no—
664M16×C73—41no—
665C2×C8×C73—41no—
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C2×C8×C73C2411yescharacteristic
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73—21no—
676C4⋊C4×C73C2×D411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73C2×D411yescharacteristic
688C22⋊C4×C73C2×D411yescharacteristic
689C42×C73—21no—
690C42×C73—21no—
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—42no—
696C23×C73—42no—
697C23×C73—42no—
698C23×C73—81no—
699C23×C73—81no—
700C23×C73—81no—
701C23×C73C22×D411yescharacteristic
702C23×C73C22×D411yescharacteristic
703C22×D73—21no—
704C22×D73—21no—
705C22×D73—21no—
706C22×D73—42no—
707C22×D73—81no—
708C22×D73—81no—
709C22×D73C22×D411yescharacteristic
710Q8×C73—21no—
711Q8×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—41no—
718D4×C73—42no—
719D4×C73—42no—
720D4×C73—42no—
721D4×C73—81no—
722D4×C73—81no—
723D4×C73—81no—
724D4×C73C2×#4112yes—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—81no—
735C2×C4×C73—81no—
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C2511yescharacteristic
741C22⋊D73—41no—
742C22⋊D73—41no—
743C22⋊D73—42no—
744C22⋊D73—42no—
745C22⋊D73—42no—
746C22⋊D73—42no—
747C22⋊D73—42no—
748C22⋊D73—81no—
749C22⋊D73—81no—
750C22⋊D73—81no—
751C22⋊D73—81no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C22⋊D73—81no—
756C2×Dic73—21no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—41no—
762C2×Dic73—41no—
763C2×Dic73—42no—
764C2×Dic73—42no—
765C2×Dic73—81no—
766C2×Dic73—81no—
767C2×Dic73—81no—
768C2×Dic73—81no—
769C2×Dic73—81no—
770C2×Dic73—81no—
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776C2×Dic73C22×D411yescharacteristic
777C2×Dic73C22×D411yescharacteristic
778D292—21no—
779D292—21no—
780D292—21no—
781D292—21no—
782D292—21no—
783D292—21no—
784D292—81no—
785D292—81no—
786D292—81no—
787D292—81no—
788C4×D73—21no—
789C4×D73—21no—
790C4×D73—42no—
791C4×D73—42no—
792C4×D73—42no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799Dic146—21no—
800Dic146—41no—
801Dic146—42no—
802Dic146—81no—
803Dic146—81no—
804Dic146C2×#4112yes—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73—21no—
808C8×C73—21no—
809#10596831—21no—
810#10596831—21no—
811#10596831—21no—
812#10596831C2×#4112yes—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—21no—
816C22×C73—21no—
817C22×C73—21no—
818C22×C73—21no—
819C22×C73—22no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—84no—
829C22×C73—162no—
830C22×C73C23×D411yescharacteristic
831C2×D73—21no—
832C2×D73—21no—
833C2×D73—21no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—41no—
843C2×D73—162no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73C22×#4111yescharacteristic
854C4×C73#58511yescharacteristic
855Dic73—21no—
856Dic73—21no—
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—21no—
861Dic73—22no—
862Dic73—21no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867#61504—731nomaximal, Sylow
868C2×C73—42no—
869C2×C73—41no—
870C2×C73—41no—
871C2×C73—81no—
872C2×C73—81no—
873C2×C73D4×#4111yescharacteristic
874C2×C73#358511yescharacteristic
875C2×C73#358511yescharacteristic
876D73—41no—
877D73—81no—
878D73—81no—
879D73—81no—
880#3524—731no—
881#3519—731no—
882#3399—731no—
883#3388—731no—
884#3370—731no—
885#3368—731no—
886#3351—731no—
887#3347—731no—
888#3347—731no—
889#3326—731no—
890#3325—731no—
891#3321—731no—
892#3318—731no—
893#3310D7311yescharacteristic, complemented
894#3309—731no—
895#3274—731no—
896#3265—731no—
897#3265—731no—
898#3179—731no—
899#3176—731no—
900#3171—731no—
901#3126—731no—
902#3122—731no—
903#3119—731no—
904#3118—731no—
905#3115—731no—
906#3114—731no—
907#2967—731no—
908#2949—731no—
909#2946—731no—
910C4×AGL(1,ℤ/8)—731no—
911C73#6150411yescharacteristic, complemented, Sylow
912C2×AGL(1,ℤ/8)—731no—
913C2×AGL(1,ℤ/8)—731no—
914C22×SD16—731no—
915#559—731no—
916#559—1461no—
917#557—731no—
918#555—731no—
919#555—731no—
920#555—1461no—
921#554—731no—
922#553—731no—
923#553—731no—
924#553—731no—
925#553—1461no—
926#553—1461no—
927#552—1461no—
928#552C2×D7311yescharacteristic, complemented
929#550—731no—
930#550—731no—
931#548—731no—
932#548—731no—
933#546—1461no—
934#546—1461no—
935#546—1461no—
936D42—731no—
937D42—731no—
938D42C2×D7311yescharacteristic
939#542—731no—
940#542—1461no—
941#540—731no—
942#540—731no—
943#540—731no—
944#540—1461no—
945#538—1461no—
946#538—1461no—
947#532—731no—
948#529—731no—
949#529—731no—
950#529—1461no—
951#529—1461no—
952#525—1461no—
953C2×#121—1461no—
954#520—731no—
955#519—731no—
956#518—731no—
957#518—731no—
958C4×#41—731no—
959C2×C4×D4—731no—
960#501—731no—
961#501—731no—
962#499—731no—
963#496—731no—
964#496—731no—
965#493—731no—
966#490—731no—
967#490—731no—
968#490C2×D7311yescharacteristic, complemented
969#489—731no—
970#488—731no—
971#486—731no—
972#485—731no—
973#483—731no—
974#482—731no—
975#482—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482C2×D7311yescharacteristic, complemented
981#481—731no—
982#480—731no—
983#480C2×D7311yescharacteristic, complemented
984#479—731no—
985#479—731no—
986#479—731no—
987#478—731no—
988#478—731no—
989#478—731no—
990#478—731no—
991#478C2×D7311yescharacteristic
992#476—731no—
993#475—731no—
994#474—731no—
995#474—731no—
996#469—731no—
997#469—731no—
998#469—731no—
999#469—731no—
1000#469—731no—
1001#468—731no—
1002#468—731no—
1003#468C2×D7311yescharacteristic, complemented
1004#466—731no—
1005#466—731no—
1006#466—731no—
1007#465C2×D7311yescharacteristic, complemented
1008#463—731no—
1009#463—731no—
1010#463—731no—
1011#463—731no—
1012#460—731no—
1013#460—731no—
1014#460—731no—
1015#460C2×D7311yescharacteristic, complemented
1016#459—731no—
1017#459—731no—
1018#459—731no—
1019#459—731no—
1020#450C2×D7311yescharacteristic
1021#450C2×D7311yescharacteristic
1022#449—731no—
1023#449—731no—
1024#449—731no—
1025#449—731no—
1026#448—731no—
1027#448—731no—
1028#447—731no—
1029#447—731no—
1030#447—731no—
1031#447—731no—
1032#446—731no—
1033#446—731no—
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#442—731no—
1040#442—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049#440C2×D7311yescharacteristic
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×SD16—731no—
1054C4×SD16—731no—
1055C4×SD16—731no—
1056C4×SD16—731no—
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8—731no—
1061C4×D8—731no—
1062#436—731no—
1063#436—731no—
1064#435—731no—
1065#435—731no—
1066#435—731no—
1067#435C2×D7311yescharacteristic, complemented
1068#433—731no—
1069#433—731no—
1070#432—731no—
1071#428—731no—
1072#428—731no—
1073#427—731no—
1074#419—731no—
1075#418—731no—
1076#418C2×D7311yescharacteristic
1077#417—731no—
1078#416—731no—
1079C2×#102C2×D7311yescharacteristic
1080#405—731no—
1081#405—731no—
1082C4×M16—731no—
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—1461no—
1086C2×#41—1461no—
1087C22×Q8—731no—
1088C22×D4—21no—
1089C22×D4—731no—
1090C22×D4—1461no—
1091C22×D4—1461no—
1092C22×D4C22×D7311yescharacteristic
1093C22×D4C22×D7311yescharacteristic
1094C23×C4—1461no—
1095AGL(1,ℤ/8)—1464no—
1096AGL(1,ℤ/8)—1464no—
1097C2×SD16—731no—
1098C2×SD16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16—1464no—
1103C2×SD16C22×D7311yescharacteristic
1104C2×SD16C22×D7311yescharacteristic
1105C2×SD16C22×D7311yescharacteristic
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8—731no—
1110C2×D8—731no—
1111C2×D8—731no—
1112C2×D8—731no—
1113C2×D8—731no—
1114C2×M16—731no—
1115C2×M16—731no—
1116C2×M16—731no—
1117C2×M16C22×D7311yescharacteristic
1118C22×C8—731no—
1119C22×C8C22×D7311yescharacteristic
1120C4⋊Q8—731no—
1121C4⋊Q8—731no—
1122C4⋊Q8—1461no—
1123#127—731no—
1124#127—731no—
1125#127—731no—
1126#127—1461no—
1127#127C22×D7311yescharacteristic
1128#126—21no—
1129#126—731no—
1130#126—731no—
1131#126—1461no—
1132#126—1461no—
1133#126—1461no—
1134#126—1461no—
1135#126—1461no—
1136#125—21no—
1137#125—731no—
1138#125—731no—
1139#125—731no—
1140#125—731no—
1141#125—1461no—
1142#125—1461no—
1143#125C22×D7311yescharacteristic
1144#124—731no—
1145#124—731no—
1146#124—731no—
1147#124—1461no—
1148#124—1461no—
1149#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124—1461no—
1156#123—21no—
1157#123—731no—
1158#123—731no—
1159#123—1461no—
1160#123—1461no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172C22⋊Q8—731no—
1173C22⋊Q8—1461no—
1174C22⋊Q8—1461no—
1175C22⋊Q8—1461no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178C22⋊Q8—1461no—
1179C22⋊Q8C22×D7311yescharacteristic
1180C22⋊Q8C22×D7311yescharacteristic
1181#121—21no—
1182#121—731no—
1183#121—731no—
1184#121—731no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—731no—
1190#121—731no—
1191#121—1461no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121—1461no—
1199#121—1461no—
1200#121—1461no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121C22×D7311yescharacteristic
1213#121C22×D7311yescharacteristic
1214#120—21no—
1215#120—21no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219#120—1461no—
1220C4×Q8—731no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8—1461no—
1227C4×Q8—1461no—
1228C4×Q8—1461no—
1229C4×Q8C22×D7311yescharacteristic
1230C4×D4—731no—
1231C4×D4—731no—
1232C4×D4—731no—
1233C4×D4—731no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4C22×D7311yescharacteristic
1265C4×D4C22×D7311yescharacteristic
1266#117—21no—
1267#117—731no—
1268#117—731no—
1269#117—731no—
1270#117—731no—
1271#117—731no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117—1461no—
1277#117—1461no—
1278#117—1461no—
1279#117C22×D7311yescharacteristic
1280C2×C4⋊C4—731no—
1281C2×C4⋊C4—1461no—
1282C2×C4⋊C4—1461no—
1283C2×C4⋊C4C22×D7311yescharacteristic
1284C2×C22⋊C4—1461no—
1285C2×C22⋊C4—1461no—
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C42—731no—
1290C2×C42—1461no—
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107—731no—
1297#107C22×D7311yescharacteristic
1298#107C22×D7311yescharacteristic
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106—731no—
1306#106C22×D7311yescharacteristic
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8C22×D7311yescharacteristic
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103—731no—
1319#103—731no—
1320#103C22×D7311yescharacteristic
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102C22×D7311yescharacteristic
1337#102C22×D7311yescharacteristic
1338#102C22×D7311yescharacteristic
1339#102C22×D7311yescharacteristic
1340#102C22×D7311yescharacteristic
1341#102C22×D7311yescharacteristic
1342#102C22×D7311yescharacteristic
1343#102C22×D7311yescharacteristic
1344#102C22×D7311yescharacteristic
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8C22×D7311yescharacteristic
1350C22⋊C8C22×D7311yescharacteristic
1351#97—731no—
1352#97—731no—
1353#97—731no—
1354#97—731no—
1355#97—731no—
1356#97C22×D7311yescharacteristic
1357C4×C8—731no—
1358C4×C8—731no—
1359C4×C8—731no—
1360C4×C8—731no—
1361C24—21no—
1362C24—21no—
1363C24—1461no—
1364#41—2921no—
1365#41—2921no—
1366#41—5842no—
1367#41—5842no—
1368#41—1462no—
1369#41—1462no—
1370C2×Q8—2921no—
1371C2×Q8—731no—
1372C2×Q8—731no—
1373C2×Q8—1461no—
1374C2×Q8—1461no—
1375C2×Q8—1461no—
1376C2×Q8—1462no—
1377C2×Q8C23×D7311yescharacteristic
1378C2×D4—22no—
1379C2×D4—22no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—41no—
1387C2×D4—41no—
1388C2×D4—82no—
1389C2×D4—2921no—
1390C2×D4—5842no—
1391C2×D4—5842no—
1392C2×D4—731no—
1393C2×D4—731no—
1394C2×D4—731no—
1395C2×D4—731no—
1396C2×D4—731no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1462no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4D4×D7311yescharacteristic
1416C2×D4C23×D7311yescharacteristic
1417C2×D4C23×D7311yescharacteristic
1418C2×D4C23×D7311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—5842no—
1422C22×C4—731no—
1423C22×C4—731no—
1424C22×C4—731no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4C23×D7311yescharacteristic
1443C22×C4C23×D7311yescharacteristic
1444SD16—22no—
1445SD16—41no—
1446SD16—41no—
1447SD16—734no—
1448SD16—1462no—
1449SD16—1462no—
1450SD16—1462no—
1451SD16—1462no—
1452D8—2921no—
1453D8—2921no—
1454D8—2921no—
1455D8—2921no—
1456D8—1462no—
1457D8—1462no—
1458D8—1462no—
1459D8—1462no—
1460M16—41no—
1461M16—2921no—
1462M16—1462no—
1463M16—1462no—
1464C2×C8—41no—
1465C2×C8—731no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8—1462no—
1470C2×C8C23×D7311yescharacteristic
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C2×C8C23×D7311yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—731no—
1491C4⋊C4—731no—
1492C4⋊C4—731no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4D4×D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C4⋊C4C23×D7311yescharacteristic
1510C4⋊C4C23×D7311yescharacteristic
1511C4⋊C4C23×D7311yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—731no—
1519C22⋊C4—731no—
1520C22⋊C4—731no—
1521C22⋊C4—731no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4D4×D7311yescharacteristic
1555C22⋊C4D4×D7311yescharacteristic
1556C42—21no—
1557C42—21no—
1558C42—731no—
1559C42—731no—
1560C42—731no—
1561C42—731no—
1562C42—731no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42—1461no—
1570C42—1461no—
1571C42C23×D7311yescharacteristic
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—42no—
1576C23—42no—
1577C23—42no—
1578C23—81no—
1579C23—81no—
1580C23—81no—
1581C23—2922no—
1582C23—5841no—
1583C23—5841no—
1584C23—731no—
1585C23—1461no—
1586C23—1461no—
1587C23—1461no—
1588C23C2×D4×D7311yescharacteristic
1589C23C2×D4×D7311yescharacteristic
1590Q8—21no—
1591Q8—21no—
1592Q8—2921no—
1593Q8—2922no—
1594Q8—5841no—
1595Q8—5841no—
1596Q8—732no—
1597Q8—1461no—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—41no—
1604D4—42no—
1605D4—42no—
1606D4—42no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4—2922no—
1611D4—2922no—
1612D4—2922no—
1613D4—2922no—
1614D4—2921no—
1615D4—2921no—
1616D4—2922no—
1617D4—5841no—
1618D4—5841no—
1619D4—5841no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—5841no—
1626D4—5841no—
1627D4—5841no—
1628D4—5841no—
1629D4—1461no—
1630D4—1461no—
1631D4—1461no—
1632D4—1461no—
1633D4—1461no—
1634D4—1461no—
1635D4#41×D7312yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—2922no—
1648C2×C4—2922no—
1649C2×C4—2922no—
1650C2×C4—2922no—
1651C2×C4—2922no—
1652C2×C4—2921no—
1653C2×C4—2921no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—5841no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—731no—
1672C2×C4—731no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C24×D7311yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—21no—
1689C8—732no—
1690C8—1461no—
1691C8—1461no—
1692C8—1461no—
1693C22—21no—
1694C22—21no—
1695C22—22no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—84no—
1709C22—162no—
1710C22—2921no—
1711C22—2921no—
1712C22—2921no—
1713C22—2921no—
1714C22—2921no—
1715C22—2921no—
1716C22—2921no—
1717C22—2921no—
1718C22—2921no—
1719C22—11682no—
1720C22—1461no—
1721C22—1461no—
1722C22—1461no—
1723C22C22×D4×D7311yescharacteristic
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—2921no—
1734C4—2921no—
1735C4—2921no—
1736C4—2921no—
1737C4—1462no—
1738C4—1461no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4—1461no—
1744C4—1461no—
1745C4C2×#41×D7311yescharacteristic
1746C4#1798942211yescharacteristic
1747C2—41no—
1748C2—41no—
1749C2—42no—
1750C2—81no—
1751C2—81no—
1752C2—2921no—
1753C2—5841no—
1754C2—5841no—
1755C2—5841no—
1756C2#2262341511yescharacteristic
1757C2#2262470711yescharacteristic
1758C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3310C2
socleC22×C73C23×D4
hypercenter#3310D73
hypocenterC73#61504
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #22624037C2semidirect
2. #22623950C2semidirect
3. #22622972C2semidirect
4. #22622880C2semidirect
5. #22622685C2semidirect
6. #22622657C2semidirect
7. #22622491C2semidirect
8. #22622434C2semidirect
9. #22622424C2semidirect
10. #22622179C2semidirect
11. #22622169C2semidirect
12. #22622123C2semidirect
13. #22622068C2semidirect
14. #22621939C2semidirect
15. #22621547C2semidirect
16. #22621424C2semidirect
17. #22621424C2semidirect
18. #22620609C2semidirect
19. #22620580C2semidirect
20. #22620519C2semidirect
21. #22620220C2semidirect
22. #22620176C2semidirect
23. #22620133C2semidirect
24. #22620116C2semidirect
25. #22620077C2semidirect
26. #22620070C2semidirect
27. #22618910C2semidirect
28. #22618787C2semidirect
29. #22618757C2semidirect
30. #22618735C2semidirect
31. C73×#3310C2semidirect
35. #17989322C22semidirect
37. #17989314C22semidirect
40. #17989300C22semidirect
44. #17989285C22semidirect
48. #17989258C22semidirect
50. #17989247C22semidirect
51. #17989247C22semidirect
57. #17989210C22semidirect
59. #17989193C22semidirect
66. #17989123C22semidirect
72. #17989068C22semidirect
73. #17989063C22semidirect
76. #17989055C22semidirect
78. #17988995C22semidirect
79. #17988994C22semidirect
80. #17988986C22semidirect
81. #17988973C22semidirect
82. #17988973C22semidirect
83. #17988963C22semidirect
84. #17988952C22semidirect
85. #17988950C22semidirect
86. #17988948C22semidirect
87. #17988943C22semidirect
88. #17988932C22semidirect
89. #17988925C22semidirect
90. #17988915C22semidirect
91. #17988914C22semidirect
92. #17988913C22semidirect
93. #17988912C22semidirect
94. #17988911C22semidirect
95. #17988910C22semidirect
96. #17988909C22semidirect
97. #17988905C22semidirect
98. #17988901C22semidirect
99. #17988895C22semidirect
100. #17988894C22semidirect
101. #17988893C22semidirect
102. #17988890C22semidirect
104. #17988885C22semidirect
105. #17988884C22semidirect
107. #17988871C22semidirect
108. #17988866C22semidirect
109. #17988865C22semidirect
110. #17988840C22semidirect
111. #17988839C22semidirect
112. #17988839C22semidirect
113. #17988838C22semidirect
114. #17988838C22semidirect
115. #17988835C22semidirect
116. #17988835C22semidirect
117. #17988823C22semidirect
118. #17988822C22semidirect
119. #17988822C22semidirect
122. #17988804C22semidirect
123. #17988804C22semidirect
124. #17988786C22semidirect
125. #17988786C22semidirect
126. #17988784C22semidirect
127. #17988783C22semidirect
129. #17988781C22semidirect
130. #17988781C22semidirect
131. #17988734C22semidirect
132. #17988734C22semidirect
133. #17988730C22semidirect
134. #17988730C22semidirect
135. #17988724C22semidirect
136. #17988724C22semidirect
141. #17988715C22semidirect
142. #17988714C22semidirect
143. #17988698C22semidirect
146. #17988696C22semidirect
147. #17988696C22semidirect
148. #17988696C22semidirect
149. #17988696C22semidirect
150. #17988689C22semidirect
152. #17988688C22semidirect
153. #17988686C22semidirect
156. #17988684C22semidirect
157. #17988684C22semidirect
159. #17988678C22semidirect
160. #17988678C22semidirect
161. SD16×Dic73C22semidirect
162. C4×#11924015C22semidirect
164. #17988672C22semidirect
165. #17988669C22semidirect
168. #17988667C22semidirect
169. #17988667C22semidirect
170. #17988665C22semidirect
171. #17988663C22semidirect
172. #17988661C22semidirect
173. #17988661C22semidirect
174. #17988658C22semidirect
175. #17988647C22semidirect
176. #17988645C22semidirect
177. #17988641C22semidirect
178. #17988630C22semidirect
179. #17988627C22semidirect
180. #17988624C22semidirect
181. #17988594C22semidirect
183. #17988589C22semidirect
184. #17988584C22semidirect
185. #17988544C22semidirect
186. #17988542C22semidirect
187. M16×Dic73C22semidirect
188. #552×C73C22semidirect
190. #490×C73C22semidirect
191. #482×C73C22semidirect
192. #480×C73C22semidirect
194. #468×C73C22semidirect
195. #465×C73C22semidirect
196. #460×C73C22semidirect
200. #435×C73C22semidirect
545. #11924016#41semidirect
893. #3310D73semidirect
911. C73#61504semidirect
928. #552C2×D73semidirect
968. #490C2×D73semidirect
980. #482C2×D73semidirect
983. #480C2×D73semidirect
1003. #468C2×D73semidirect
1007. #465C2×D73semidirect
1015. #460C2×D73semidirect
1067. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226240372
#226239502
#226229722
#226228802
#226226852
#226226572
#226224912
#226224342
#226224242
#226221792
#226221692
#226221232
#226220682
#226219392
#226215472
#226214242
#226206092
#226205802
#226205192
#226202202
#226201762
#226201332
#226201162
#226200772
#226200702
#226189102
#226187872
#226187572
#226187352
C73×#33102
#6150473