Finite Group Databasebeta

← #33969085

Subgroups — #33969085

Order 18688.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623942C211yesmaximal, characteristic, complemented
2#22623869C211yesmaximal, characteristic, complemented
3#22622990C211yesmaximal, characteristic, complemented
4#22622844C211yesmaximal, characteristic, complemented
5#22622756C211yesmaximal, characteristic, complemented
6#22622749C211yesmaximal, characteristic, complemented
7#22622513C211yesmaximal, characteristic, complemented
8#22622468C211yesmaximal, characteristic, complemented
9#22622424C211yesmaximal, characteristic, complemented
10#22622196C211yesmaximal, characteristic, complemented
11#22622165C211yesmaximal, characteristic, complemented
12#22622106C211yesmaximal, characteristic, complemented
13#22622085C211yesmaximal, characteristic, complemented
14#22621965C211yesmaximal, characteristic, complemented
15#22621926C211yesmaximal, characteristic, complemented
16#22621565C211yesmaximal, characteristic, complemented
17#22621444C211yesmaximal, characteristic, complemented
18#22621421C211yesmaximal, characteristic, complemented
19#22620616C211yesmaximal, characteristic, complemented
20#22620568C211yesmaximal, characteristic, complemented
21#22620533C211yesmaximal, characteristic, complemented
22#22620195C211yesmaximal, characteristic, complemented
23#22620156C211yesmaximal, characteristic, complemented
24#22620121C211yesmaximal, characteristic, complemented
25#22620038C211yesmaximal, characteristic, complemented
26#22620028C211yesmaximal, characteristic, complemented
27#22618914C211yesmaximal, characteristic, complemented
28#22618787C211yesmaximal, characteristic, complemented
29#22618774C211yesmaximal, characteristic, complemented
30C4×#14556618C211yesmaximal, characteristic, complemented
31C73×#3126C211yesmaximal, characteristic, complemented
32C2×#14556622C2211yescharacteristic
33C2×#14556618C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989323C2211yescharacteristic
36Q8×Dic146C2211yescharacteristic, complemented
37#17989310—21no—
38#17989310C2211yescharacteristic
39#17989309—21no—
40#17989309C2211yescharacteristic, complemented
41#17989305—21no—
42#17989305C2211yescharacteristic, complemented
43#17989300—21no—
44#17989300C2211yescharacteristic, complemented
45#17989293C2211yescharacteristic
46#17989289C2211yescharacteristic
47#17989284—21no—
48#17989275C2211yescharacteristic
49#17989265—21no—
50#17989260—21no—
51Q8×C22⋊D73C2211yescharacteristic, complemented
52#17989249C2211yescharacteristic
53#17989248C2211yescharacteristic, complemented
54#17989237C2211yescharacteristic
55#17989234C2211yescharacteristic
56#17989234C2211yescharacteristic
57#17989226—21no—
58#17989222C2211yescharacteristic
59#17989209—21no—
60#17989209C2211yescharacteristic, complemented
61#17989208—21no—
62#17989208C2211yescharacteristic, complemented
63#17989202C2211yescharacteristic
64#17989180—21no—
65#17989169—21no—
66#17989141—21no—
67#17989141C2211yescharacteristic, complemented
68#17989119C2211yescharacteristic
69#17989115—21no—
70#17989115C2211yescharacteristic
71#17989097—21no—
72#123×D73—21no—
73#17989067C2211yescharacteristic
74#17989063C2211yescharacteristic, complemented
75#17989059C2211yescharacteristic
76C4×#11924029C2211yescharacteristic, complemented
77C4×D4×D73C2211yescharacteristic
78#17988997C2211yescharacteristic, complemented
79#17988994C2211yescharacteristic, complemented
80#17988991C2211yescharacteristic, complemented
81#17988978C2211yescharacteristic, complemented
82#17988974C2211yescharacteristic
83#17988968C2211yescharacteristic, complemented
84#17988954C2211yescharacteristic, complemented
85#17988948C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988944C2211yescharacteristic, complemented
89#17988933C2211yescharacteristic
90#17988931C2211yescharacteristic, complemented
91#17988930C2211yescharacteristic, complemented
92#17988927C2211yescharacteristic, complemented
93#17988924C2211yescharacteristic, complemented
94#17988923C2211yescharacteristic, complemented
95#17988921C2211yescharacteristic, complemented
96#17988913C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic
98#17988909C2211yescharacteristic
99#17988901C2211yescharacteristic, complemented
100#17988896C2211yescharacteristic, complemented
101#17988890C2211yescharacteristic, complemented
102#17988883C2211yescharacteristic, complemented
103#17988880C2211yescharacteristic, complemented
104#17988876C2211yescharacteristic
105#17988871C2211yescharacteristic, complemented
106#17988868C2211yescharacteristic
107#17988866C2211yescharacteristic
108#17988865C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic, complemented
110#17988846C2211yescharacteristic, complemented
111#17988844C2211yescharacteristic, complemented
112#17988838C2211yescharacteristic, complemented
113#17988834C2211yescharacteristic, complemented
114#17988832C2211yescharacteristic
115#17988831C2211yescharacteristic, complemented
116#17988830C2211yescharacteristic
117#17988830C2211yescharacteristic
118#17988827C2211yescharacteristic, complemented
119#17988822C2211yescharacteristic
120#17988821C2211yescharacteristic, complemented
121#17988814C2211yescharacteristic, complemented
122#17988810C2211yescharacteristic, complemented
123#17988808C2211yescharacteristic, complemented
124#17988807C2211yescharacteristic, complemented
125#17988807C2211yescharacteristic, complemented
126#17988805C2211yescharacteristic
127#17988804C2211yescharacteristic, complemented
128#17988803C2211yescharacteristic
129#17988801C2211yescharacteristic, complemented
130#17988791C2211yescharacteristic
131#17988790C2211yescharacteristic, complemented
132#17988752C2211yescharacteristic, complemented
133#17988751C2211yescharacteristic
134#17988744C2211yescharacteristic, complemented
135#17988739C2211yescharacteristic
136#17988736C2211yescharacteristic
137#17988736C2211yescharacteristic
138#17988734C2211yescharacteristic
139#17988731C2211yescharacteristic
140#17988724C2211yescharacteristic
141#17988722C2211yescharacteristic
142#17988716C2211yescharacteristic, complemented
143#17988714C2211yescharacteristic, complemented
144#17988698C2211yescharacteristic
145#17988697C2211yescharacteristic, complemented
146#17988696C2211yescharacteristic, complemented
147#17988692C2211yescharacteristic, complemented
148#17988692C2211yescharacteristic, complemented
149#17988690C2211yescharacteristic
150#17988689C2211yescharacteristic
151#17988689C2211yescharacteristic, complemented
152#17988688C2211yescharacteristic, complemented
153#17988688C2211yescharacteristic, complemented
154#17988687C2211yescharacteristic, complemented
155#17988686C2211yescharacteristic
156#17988685C2211yescharacteristic
157#17988685C2211yescharacteristic
158C4×Dic292C2211yescharacteristic, complemented
159C4×#11924018C2211yescharacteristic, complemented
160C4×#11924018C2211yescharacteristic, complemented
161#17988678C2211yescharacteristic, complemented
162C4×#11924015C2211yescharacteristic
163C4×#11924015C2211yescharacteristic
164C4×#11924016C2211yescharacteristic, complemented
165#17988672C2211yescharacteristic
166C4×D584C2211yescharacteristic
167C4×#11924013C2211yescharacteristic, complemented
168#17988664C2211yescharacteristic
169#17988662C2211yescharacteristic, complemented
170#17988661C2211yescharacteristic, complemented
171#17988657C2211yescharacteristic
172#17988655C2211yescharacteristic, complemented
173#17988655C2211yescharacteristic, complemented
174#17988646C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988630C2211yescharacteristic, complemented
177#17988626C2211yescharacteristic, complemented
178#17988624C2211yescharacteristic, complemented
179#17988594C2211yescharacteristic, complemented
180#17988590C2211yescharacteristic
181#17988590C2211yescharacteristic
182#17988587C2211yescharacteristic, complemented
183#17988581C2211yescharacteristic
184C2×#14556515C2211yescharacteristic, complemented
185#17988544C2211yescharacteristic, complemented
186#17988543C2211yescharacteristic, complemented
187C4×#11924011C2211yescharacteristic, complemented
188#540×C73C2211yescharacteristic
189#519×C73C2211yescharacteristic, complemented
190#482×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#479×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#460×C73C2211yescharacteristic
195#460×C73C2211yescharacteristic
196#448×C73C2211yescharacteristic, complemented
197#448×C73C2211yescharacteristic, complemented
198#440×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200C4×SD16×C73C2211yescharacteristic, complemented
201C4×SD16×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028C2311yescharacteristic
205C2×#11924027—21no—
206C2×Q8×D73C2311yescharacteristic
207C2×D4×D73—21no—
208C2×D4×D73C2311yescharacteristic
209C2×D4×D73C2311yescharacteristic
210C22×C4×D73—21no—
211#14556622—24no—
212#14556618—24no—
213C2×Dic292C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924017C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222SD16×D73—24no—
223C2×D584C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924012C2311yescharacteristic
227C2×#11924011C2311yescharacteristic
228C2×#11924011C2311yescharacteristic
229C2×#11924011C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C2×C8×D73C2311yescharacteristic
232#14556591—21no—
233#14556591C2311yescharacteristic
234#14556590—21no—
235#14556590—21no—
236#14556590C2311yescharacteristic
237#14556590C2311yescharacteristic
238#14556590C2311yescharacteristic
239#14556589—21no—
240#14556589C2311yescharacteristic
241#14556586—21no—
242#14556586—21no—
243#14556586—21no—
244#14556586—21no—
245#14556586—21no—
246#14556586D411yescharacteristic
247#14556585—21no—
248#14556585—21no—
249#14556585—21no—
250#14556584—21no—
251#14556584—21no—
252#14556584—21no—
253#14556584—21no—
254#14556584D411yescharacteristic
255#14556582—21no—
256#14556582C2311yescharacteristic
257#14556581—21no—
258#14556581D411yescharacteristic
259#14556580—21no—
260#14556580C2311yescharacteristic
261#14556579—21no—
262#14556579—21no—
263#14556579—21no—
264#14556579—21no—
265#14556579C2311yescharacteristic
266#14556578—21no—
267#14556578C2311yescharacteristic
268#14556578C2311yescharacteristic
269#14556577—21no—
270#14556577—21no—
271#14556577—21no—
272#14556577—21no—
273#14556577D411yescharacteristic
274#14556576—21no—
275#14556576—21no—
276#14556576D411yescharacteristic
277#14556575—21no—
278#14556574—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556573—21no—
284#14556573D411yescharacteristic
285#14556572—21no—
286#14556572—21no—
287#14556572—21no—
288#14556571—21no—
289#14556571—21no—
290#14556571C2311yescharacteristic
291#14556571C2311yescharacteristic
292#14556571C2311yescharacteristic
293#14556570—21no—
294#14556570—21no—
295#14556570C2311yescharacteristic
296#14556569—21no—
297#14556569—21no—
298#14556569—21no—
299#14556569—21no—
300#14556569—21no—
301#14556569—21no—
302#14556569D411yescharacteristic
303#14556568—21no—
304#14556567—21no—
305#14556567—21no—
306#14556567C2311yescharacteristic
307#14556567C2311yescharacteristic
308#14556566—21no—
309#14556566C2311yescharacteristic
310#14556565—21no—
311#14556565C2311yescharacteristic
312#14556564—21no—
313#14556564D411yescharacteristic
314#14556563—21no—
315#14556562—21no—
316#14556562—21no—
317#14556562—21no—
318#14556562C2311yescharacteristic
319#14556562C2311yescharacteristic
320#14556559—21no—
321#14556559—21no—
322#14556559—21no—
323#14556559—21no—
324Q8×Dic73C2311yescharacteristic
325Q8×Dic73C2311yescharacteristic
326C4×Dic146—21no—
327C4×Dic146—21no—
328C4×Dic146—21no—
329C4×Dic146—21no—
330C4×Dic146—21no—
331C4×Dic146C2311yescharacteristic
332C4×Dic146C2311yescharacteristic
333C4×Dic146C2311yescharacteristic
334C4×Dic146C2311yescharacteristic
335#14556556—21no—
336#14556556C2311yescharacteristic
337C4×D292—21no—
338C4×D292—21no—
339C4×D292C2311yescharacteristic
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342C4×D292C2311yescharacteristic
343D4×Dic73—21no—
344D4×Dic73—21no—
345D4×Dic73C2311yescharacteristic
346D4×Dic73C2311yescharacteristic
347#14556553—21no—
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73C2311yescharacteristic
357C4×C22⋊D73C2311yescharacteristic
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556550—21no—
363#14556549—21no—
364#14556549—21no—
365#14556549—21no—
366#14556549—21no—
367#14556549C2311yescharacteristic
368#14556549C2311yescharacteristic
369#14556549C2311yescharacteristic
370#14556548—21no—
371#14556548—21no—
372#14556548—21no—
373#14556548—21no—
374#14556548C2311yescharacteristic
375C2×C4⋊Dic73C2311yescharacteristic
376C4⋊C4×D73—21no—
377C4⋊C4×D73—21no—
378C4⋊C4×D73C2311yescharacteristic
379C2×#11924005—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C42×D73—21no—
385C42×D73C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556514C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435C4×#10596831C2311yescharacteristic
436C4×#10596831C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C22×Q8×C73C2311yescharacteristic
439C2×SD16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443#127×C73C2311yescharacteristic
444#125×C73C2311yescharacteristic
445#123×C73—21no—
446#123×C73—21no—
447#121×C73—21no—
448#121×C73—21no—
449#121×C73C2311yescharacteristic
450#121×C73C2311yescharacteristic
451C4×Q8×C73—21no—
452C4×Q8×C73—21no—
453C4×Q8×C73C2311yescharacteristic
454C4×Q8×C73C2311yescharacteristic
455C4×Q8×C73C2311yescharacteristic
456C4×Q8×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459#117×C73—21no—
460#117×C73—21no—
461#117×C73C2311yescharacteristic
462#117×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477C22⋊C8×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924029—22no—
484#11924029—41no—
485#11924028—22no—
486#11924028—41no—
487#11924027—82no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2411yescharacteristic
495C2×Dic146C2411yescharacteristic
496Q8×D73—22no—
497Q8×D73—41no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292C2×D411yescharacteristic
501C2×D292C2411yescharacteristic
502C2×D292C2411yescharacteristic
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⋊D73C2×D411yescharacteristic
510C2×C22⋊D73C2×D411yescharacteristic
511D4×D73—22no—
512D4×D73—22no—
513D4×D73—41no—
514D4×D73—41no—
515D4×D73—82no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—82no—
530C2×C4×D73C2×D411yescharacteristic
531C2×C4×D73C2×D411yescharacteristic
532C2×C4×D73C2411yescharacteristic
533C2×C4×D73C2411yescharacteristic
534Dic292—41no—
535#11924018—22no—
536#11924018—22no—
537#11924017—22no—
538#11924017—41no—
539#11924016—22no—
540#11924016—41no—
541#11924015—22no—
542#11924015#4114yescomplemented
543D584—22no—
544#11924013—22no—
545#11924013—41no—
546#11924012—22no—
547#11924011—22no—
548#11924011—41no—
549#11924011—41no—
550C2×#10596831—41no—
551C2×#10596831C2411yescharacteristic
552C2×#10596831C2411yescharacteristic
553C2×#10596831C2411yescharacteristic
554C2×#10596831C2411yescharacteristic
555C8×D73—22no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73C2×D411yescharacteristic
565C4⋊Dic73C2×D411yescharacteristic
566C4⋊Dic73C2411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
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⋊Dic73C2×D411yescharacteristic
600C22⋊Dic73C2×D411yescharacteristic
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
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#11924005C2×D411yescharacteristic
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C4×Dic73C2411yescharacteristic
640C2×Q8×C73—21no—
641C2×Q8×C73—22no—
642C2×Q8×C73—41no—
643C2×Q8×C73C2411yescharacteristic
644C2×Q8×C73C2411yescharacteristic
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73—21no—
649C2×D4×C73C2411yescharacteristic
650C2×D4×C73C2411yescharacteristic
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73C2411yescharacteristic
655SD16×C73—22no—
656SD16×C73—22no—
657SD16×C73—41no—
658SD16×C73—41no—
659C2×C8×C73C2411yescharacteristic
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C4⋊C4×C73—21no—
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73C2×D411yescharacteristic
670C4⋊C4×C73C2×D411yescharacteristic
671C4⋊C4×C73C2411yescharacteristic
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C22⋊C4×C73—21no—
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73C2×D411yescharacteristic
681C22⋊C4×C73C2×D411yescharacteristic
682C42×C73—21no—
683C42×C73—21no—
684C42×C73—21no—
685C42×C73—21no—
686C42×C73—21no—
687C42×C73C2411yescharacteristic
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73—21no—
691C23×C73C22×D411yescharacteristic
692C22×D73—21no—
693C22×D73—21no—
694C22×D73—42no—
695C22×D73—42no—
696C22×D73—42no—
697C22×D73—81no—
698C22×D73—81no—
699C22×D73—81no—
700C22×D73C22×D411yescharacteristic
701C22×D73C22×D411yescharacteristic
702Q8×C73—21no—
703Q8×C73—21no—
704Q8×C73—21no—
705Q8×C73—42no—
706Q8×C73C2×#4112yes—
707D4×C73—21no—
708D4×C73—21no—
709D4×C73—21no—
710D4×C73—21no—
711D4×C73—81no—
712D4×C73—81no—
713D4×C73—81no—
714D4×C73—81no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—42no—
724C2×C4×C73—81no—
725C2×C4×C73—81no—
726C2×C4×C73C22×D411yescharacteristic
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C2511yescharacteristic
732C22⋊D73—41no—
733C22⋊D73—41no—
734C22⋊D73—42no—
735C22⋊D73—42no—
736C22⋊D73—42no—
737C22⋊D73—42no—
738C22⋊D73—81no—
739C22⋊D73—81no—
740C2×Dic73—21no—
741C2×Dic73—21no—
742C2×Dic73—21no—
743C2×Dic73—21no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—81no—
747C2×Dic73—81no—
748C2×Dic73—81no—
749C2×Dic73C22×D411yescharacteristic
750C2×Dic73C22×D411yescharacteristic
751C2×Dic73C22×D411yescharacteristic
752C2×Dic73C22×D411yescharacteristic
753C2×Dic73C22×D411yescharacteristic
754C2×Dic73C22×D411yescharacteristic
755D292—21no—
756D292—21no—
757D292—21no—
758D292—41no—
759D292—42no—
760D292—81no—
761D292C2×#4112yes—
762C4×D73—21no—
763C4×D73—21no—
764C4×D73—21no—
765C4×D73—21no—
766C4×D73—41no—
767C4×D73—41no—
768C4×D73—42no—
769C4×D73—42no—
770C4×D73—42no—
771C4×D73—42no—
772C4×D73—42no—
773C4×D73—81no—
774C4×D73—81no—
775C4×D73—81no—
776C4×D73—81no—
777C4×D73—81no—
778Dic146—21no—
779Dic146—21no—
780Dic146—21no—
781Dic146—21no—
782Dic146—41no—
783Dic146—42no—
784Dic146—81no—
785Dic146—81no—
786Dic146—81no—
787Dic146—81no—
788C8×C73—21no—
789C8×C73—21no—
790C8×C73—21no—
791C8×C73—21no—
792#10596831—21no—
793#10596831—21no—
794#10596831—21no—
795#10596831C2×#4112yes—
796C22×C73—21no—
797C22×C73—21no—
798C22×C73—21no—
799C22×C73—41no—
800C22×C73—41no—
801C22×C73—41no—
802C22×C73—41no—
803C22×C73—41no—
804C22×C73—41no—
805C22×C73C23×D411yescharacteristic
806C2×D73—21no—
807C2×D73—21no—
808C2×D73—21no—
809C2×D73—21no—
810C2×D73—21no—
811C2×D73—21no—
812C2×D73—22no—
813C2×D73—41no—
814C2×D73—41no—
815C2×D73—41no—
816C2×D73—41no—
817C2×D73—41no—
818C2×D73—84no—
819C2×D73—162no—
820C4×C73—21no—
821C4×C73—21no—
822C4×C73—21no—
823C4×C73—21no—
824C4×C73—22no—
825C4×C73—21no—
826C4×C73—41no—
827C4×C73—41no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73—41no—
831C4×C73C22×#4111yescharacteristic
832C4×C73#58511yescharacteristic
833Dic73—21no—
834Dic73—21no—
835Dic73—21no—
836Dic73—21no—
837Dic73—21no—
838Dic73—21no—
839Dic73—41no—
840Dic73—41no—
841Dic73—41no—
842Dic73—41no—
843Dic73—41no—
844Dic73—41no—
845#61503—731nomaximal, Sylow
846C2×C73—41no—
847C2×C73—81no—
848C2×C73—81no—
849C2×C73D4×#4111yescharacteristic
850C2×C73#358511yescharacteristic
851C2×C73#358611yescharacteristic
852D73—41no—
853D73—41no—
854D73—42no—
855D73—81no—
856#3518—731no—
857#3513—731no—
858#3401—731no—
859#3385—731no—
860#3376—731no—
861#3375—731no—
862#3353—731no—
863#3349—731no—
864#3347—731no—
865#3327—731no—
866#3324—731no—
867#3320—731no—
868#3319—731no—
869#3311—731no—
870#3308—731no—
871#3275—731no—
872#3266—731no—
873#3265—731no—
874#3179—731no—
875#3175—731no—
876#3172—731no—
877#3126D7311yescharacteristic, complemented
878#3124—731no—
879#3121—731no—
880#3118—731no—
881#3111—731no—
882#3110—731no—
883#2967—731no—
884#2949—731no—
885#2947—731no—
886C4×AGL(1,ℤ/8)—731no—
887C73#6150311yescharacteristic, complemented, Sylow
888C2×#137—731no—
889C2×AGL(1,ℤ/8)—731no—
890C22×SD16—731no—
891#559—731no—
892Q82—731no—
893#556—731no—
894#556—731no—
895#556—731no—
896#556—1461no—
897#556—1461no—
898#556—1461no—
899#555—731no—
900#555—1461no—
901#554—731no—
902#553—731no—
903#553—1461no—
904#552—731no—
905#551—1461no—
906#551—1461no—
907D4×Q8—731no—
908#548—731no—
909#548—731no—
910#547—731no—
911#546—731no—
912#546—731no—
913#546—1461no—
914D42—731no—
915#542—731no—
916#542—731no—
917#542—731no—
918#542—1461no—
919#542—1461no—
920#540C2×D7311yescharacteristic
921#539—1461no—
922#538—1461no—
923#533—731no—
924#533—1461no—
925#529—731no—
926#529—731no—
927#529—1461no—
928#525—1461no—
929C2×#123—1461no—
930#520—731no—
931#519—731no—
932#519C2×D7311yescharacteristic, complemented
933#518—731no—
934C4×#41—731no—
935C2×C4×D4—731no—
936#501—731no—
937#501—731no—
938#500—731no—
939#497—731no—
940#496—731no—
941#495—731no—
942#491—731no—
943#489—731no—
944#489—731no—
945#489—731no—
946#488—731no—
947#486—731no—
948#485—731no—
949#485—731no—
950#485—731no—
951#484—731no—
952#484—731no—
953#484—731no—
954#482—731no—
955#482—731no—
956#482—731no—
957#482C2×D7311yescharacteristic, complemented
958#482C2×D7311yescharacteristic, complemented
959#480—731no—
960#479—731no—
961#479C2×D7311yescharacteristic, complemented
962#479C2×D7311yescharacteristic, complemented
963#478—731no—
964#477—731no—
965#477—731no—
966#476—731no—
967#475—731no—
968#474—731no—
969#474—731no—
970#474—731no—
971#474—731no—
972#470—731no—
973#470—731no—
974#469—731no—
975#468—731no—
976#468—731no—
977#468—731no—
978#468—731no—
979#468—731no—
980#467—731no—
981#466—731no—
982#466—731no—
983#465—731no—
984#464—731no—
985#464—731no—
986#464—731no—
987#464—731no—
988#463—731no—
989#463—731no—
990#463—731no—
991#463—731no—
992#461—731no—
993#461—731no—
994#460C2×D7311yescharacteristic
995#460C2×D7311yescharacteristic
996#452—731no—
997#452—731no—
998#451—731no—
999#450—731no—
1000#450—731no—
1001#450—731no—
1002#449—731no—
1003#449—731no—
1004#448—731no—
1005#448C2×D7311yescharacteristic, complemented
1006#448C2×D7311yescharacteristic, complemented
1007#447—731no—
1008#446—731no—
1009#446—731no—
1010#442—731no—
1011#442—731no—
1012#442—731no—
1013#441—731no—
1014#441—731no—
1015#440—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440—731no—
1024#440C2×D7311yescharacteristic, complemented
1025#440C2×D7311yescharacteristic, complemented
1026C4×Q16—731no—
1027C4×Q16—731no—
1028C4×Q16—731no—
1029C4×SD16—731no—
1030C4×SD16—731no—
1031C4×SD16—731no—
1032C4×SD16—731no—
1033C4×SD16—731no—
1034C4×SD16C2×D7311yescharacteristic, complemented
1035C4×SD16C2×D7311yescharacteristic, complemented
1036C4×D8—731no—
1037C4×D8—731no—
1038#436—731no—
1039#436—731no—
1040#435—731no—
1041#435—731no—
1042#435—731no—
1043#435—731no—
1044#433—731no—
1045#433C2×D7311yescharacteristic, complemented
1046#432—731no—
1047#428—731no—
1048#428—731no—
1049#427—731no—
1050#419—731no—
1051#418—731no—
1052#418—731no—
1053#417—731no—
1054#416—731no—
1055C2×#103—731no—
1056#405—731no—
1057#405—731no—
1058C4×M16—731no—
1059C2×#41—731no—
1060C2×#41—731no—
1061C2×#41—1461no—
1062C22×Q8—731no—
1063C22×Q8C22×D7311yescharacteristic
1064C22×D4—731no—
1065C22×D4—731no—
1066C22×D4—1461no—
1067C23×C4—1461no—
1068#137—1464no—
1069AGL(1,ℤ/8)—1464no—
1070C2×Q16—731no—
1071C2×Q16—731no—
1072C2×Q16—731no—
1073C2×SD16—731no—
1074C2×SD16—731no—
1075C2×SD16—731no—
1076C2×SD16—731no—
1077C2×SD16—731no—
1078C2×SD16—731no—
1079C2×SD16—1464no—
1080C2×SD16C22×D7311yescharacteristic
1081C2×SD16C22×D7311yescharacteristic
1082C2×SD16C22×D7311yescharacteristic
1083C2×SD16C22×D7311yescharacteristic
1084C2×D8—731no—
1085C2×D8—731no—
1086C2×D8—731no—
1087C2×M16—731no—
1088C2×M16—731no—
1089C2×M16—731no—
1090C2×M16—731no—
1091C22×C8—731no—
1092C22×C8—731no—
1093C4⋊Q8—731no—
1094C4⋊Q8—731no—
1095C4⋊Q8—731no—
1096C4⋊Q8—731no—
1097C4⋊Q8—731no—
1098C4⋊Q8—1461no—
1099C4⋊Q8—1461no—
1100C4⋊Q8—1461no—
1101C4⋊Q8—1461no—
1102#127C22×D7311yescharacteristic
1103#126—731no—
1104#126—731no—
1105#126—1461no—
1106#126—1461no—
1107#126—1461no—
1108#126—1461no—
1109#126—1461no—
1110#126—1461no—
1111#126—1461no—
1112#126—1461no—
1113#126—1461no—
1114#126—1461no—
1115#126—1461no—
1116#126—1461no—
1117#125—731no—
1118#125—731no—
1119#125—1461no—
1120#125—1461no—
1121#125C22×D7311yescharacteristic
1122#124—731no—
1123#124—731no—
1124#124—731no—
1125#124—731no—
1126#124—731no—
1127#124—1461no—
1128#124—1461no—
1129#124—1461no—
1130#124—1461no—
1131#124—1461no—
1132#124—1461no—
1133#124—1461no—
1134#124—1461no—
1135#124—1461no—
1136#124—1461no—
1137#123—21no—
1138#123—21no—
1139#123—731no—
1140#123—731no—
1141#123—1461no—
1142#123—1461no—
1143#123—1461no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153C22⋊Q8—731no—
1154C22⋊Q8—731no—
1155C22⋊Q8—731no—
1156C22⋊Q8—731no—
1157C22⋊Q8—731no—
1158C22⋊Q8—731no—
1159C22⋊Q8—731no—
1160C22⋊Q8—1461no—
1161C22⋊Q8—1461no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8—1461no—
1171C22⋊Q8—1461no—
1172C22⋊Q8—1461no—
1173#121—21no—
1174#121—21no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—731no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121C22×D7311yescharacteristic
1188#121C22×D7311yescharacteristic
1189#120—1461no—
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193C4×Q8—21no—
1194C4×Q8—21no—
1195C4×Q8—731no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—1461no—
1203C4×Q8—1461no—
1204C4×Q8—1461no—
1205C4×Q8—1461no—
1206C4×Q8—1461no—
1207C4×Q8—1461no—
1208C4×Q8C22×D7311yescharacteristic
1209C4×Q8C22×D7311yescharacteristic
1210C4×Q8C22×D7311yescharacteristic
1211C4×Q8C22×D7311yescharacteristic
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4C22×D7311yescharacteristic
1238C4×D4C22×D7311yescharacteristic
1239#117—21no—
1240#117—21no—
1241#117—731no—
1242#117—731no—
1243#117—731no—
1244#117—731no—
1245#117—1461no—
1246#117—1461no—
1247#117—1461no—
1248#117—1461no—
1249#117—1461no—
1250#117—1461no—
1251#117—1461no—
1252#117—1461no—
1253#117—1461no—
1254#117C22×D7311yescharacteristic
1255#117C22×D7311yescharacteristic
1256C2×C4⋊C4—731no—
1257C2×C4⋊C4—731no—
1258C2×C4⋊C4—1461no—
1259C2×C4⋊C4—1461no—
1260C2×C22⋊C4—1461no—
1261C2×C22⋊C4—1461no—
1262C2×C22⋊C4—1461no—
1263C2×C22⋊C4—1461no—
1264C2×C22⋊C4—1461no—
1265C2×C42—731no—
1266C2×C42—1461no—
1267#107—731no—
1268#107—731no—
1269#107—731no—
1270#107—731no—
1271#107—731no—
1272#107—731no—
1273#107—731no—
1274#107—731no—
1275#107C22×D7311yescharacteristic
1276#107C22×D7311yescharacteristic
1277#106—731no—
1278#106—731no—
1279#106—731no—
1280#106—731no—
1281#106C22×D7311yescharacteristic
1282#106C22×D7311yescharacteristic
1283C4⋊C8—731no—
1284C4⋊C8—731no—
1285C4⋊C8—731no—
1286C4⋊C8—731no—
1287C4⋊C8C22×D7311yescharacteristic
1288C4⋊C8C22×D7311yescharacteristic
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#103—731no—
1301#103C22×D7311yescharacteristic
1302#103C22×D7311yescharacteristic
1303#103C22×D7311yescharacteristic
1304#103C22×D7311yescharacteristic
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102—731no—
1310#102—731no—
1311#102—731no—
1312#102—731no—
1313#102—731no—
1314#102—731no—
1315#102—731no—
1316#102—731no—
1317#102C22×D7311yescharacteristic
1318#102C22×D7311yescharacteristic
1319#102C22×D7311yescharacteristic
1320#102C22×D7311yescharacteristic
1321C22⋊C8—731no—
1322C22⋊C8—731no—
1323C22⋊C8—731no—
1324C22⋊C8—731no—
1325C22⋊C8C22×D7311yescharacteristic
1326C22⋊C8C22×D7311yescharacteristic
1327#97—731no—
1328#97—731no—
1329#97—731no—
1330#97—731no—
1331#97—731no—
1332#97C22×D7311yescharacteristic
1333C4×C8—731no—
1334C4×C8—731no—
1335C4×C8—731no—
1336C4×C8C22×D7311yescharacteristic
1337C24—1461no—
1338C24—1461no—
1339#41—2921no—
1340#41—2921no—
1341#41—5842no—
1342#41—1462no—
1343#41—1462no—
1344C2×Q8—21no—
1345C2×Q8—22no—
1346C2×Q8—41no—
1347C2×Q8—2921no—
1348C2×Q8—731no—
1349C2×Q8—731no—
1350C2×Q8—731no—
1351C2×Q8—1461no—
1352C2×Q8—1461no—
1353C2×Q8—1461no—
1354C2×Q8—1461no—
1355C2×Q8—1462no—
1356C2×Q8—1461no—
1357C2×Q8C23×D7311yescharacteristic
1358C2×Q8C23×D7311yescharacteristic
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—2921no—
1364C2×D4—2921no—
1365C2×D4—5842no—
1366C2×D4—731no—
1367C2×D4—731no—
1368C2×D4—731no—
1369C2×D4—731no—
1370C2×D4—731no—
1371C2×D4—1461no—
1372C2×D4—1461no—
1373C2×D4—1461no—
1374C2×D4—1461no—
1375C2×D4—1462no—
1376C2×D4—1462no—
1377C2×D4—1461no—
1378C2×D4—1461no—
1379C2×D4—1461no—
1380C2×D4—1461no—
1381C2×D4C23×D7311yescharacteristic
1382C2×D4C23×D7311yescharacteristic
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—5842no—
1387C22×C4—731no—
1388C22×C4—731no—
1389C22×C4—731no—
1390C22×C4—731no—
1391C22×C4—1461no—
1392C22×C4—1461no—
1393C22×C4—1461no—
1394C22×C4—1461no—
1395C22×C4—1461no—
1396C22×C4—1461no—
1397C22×C4—1461no—
1398C22×C4—1461no—
1399C22×C4—1461no—
1400C22×C4—1461no—
1401C22×C4—1461no—
1402C22×C4—1461no—
1403C22×C4—1461no—
1404C22×C4C23×D7311yescharacteristic
1405Q16—2921no—
1406Q16—1462no—
1407Q16—1462no—
1408SD16—22no—
1409SD16—22no—
1410SD16—41no—
1411SD16—41no—
1412SD16—2921no—
1413SD16—2921no—
1414SD16—734no—
1415SD16—1462no—
1416SD16—1462no—
1417SD16—1462no—
1418D8—2921no—
1419D8—1462no—
1420D8—1462no—
1421M16—2921no—
1422M16—2921no—
1423M16—1462no—
1424M16—1462no—
1425C2×C8—2921no—
1426C2×C8—731no—
1427C2×C8—731no—
1428C2×C8—731no—
1429C2×C8—731no—
1430C2×C8—1462no—
1431C2×C8C23×D7311yescharacteristic
1432C2×C8C23×D7311yescharacteristic
1433C2×C8C23×D7311yescharacteristic
1434C2×C8C23×D7311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—731no—
1442C4⋊C4—731no—
1443C4⋊C4—731no—
1444C4⋊C4—731no—
1445C4⋊C4—731no—
1446C4⋊C4—731no—
1447C4⋊C4—731no—
1448C4⋊C4—731no—
1449C4⋊C4—731no—
1450C4⋊C4—731no—
1451C4⋊C4—731no—
1452C4⋊C4—731no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4—1461no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4D4×D7311yescharacteristic
1476C4⋊C4D4×D7311yescharacteristic
1477C4⋊C4C23×D7311yescharacteristic
1478C4⋊C4C23×D7311yescharacteristic
1479C4⋊C4C23×D7311yescharacteristic
1480C4⋊C4C23×D7311yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—731no—
1487C22⋊C4—731no—
1488C22⋊C4—731no—
1489C22⋊C4—731no—
1490C22⋊C4—731no—
1491C22⋊C4—731no—
1492C22⋊C4—731no—
1493C22⋊C4—731no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4D4×D7311yescharacteristic
1524C22⋊C4D4×D7311yescharacteristic
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—21no—
1529C42—21no—
1530C42—731no—
1531C42—731no—
1532C42—731no—
1533C42—731no—
1534C42—1461no—
1535C42—1461no—
1536C42—1461no—
1537C42—1461no—
1538C42—1461no—
1539C42—1461no—
1540C42—1461no—
1541C42—1461no—
1542C42—1461no—
1543C42C23×D7311yescharacteristic
1544C42C23×D7311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—2922no—
1548C23—2922no—
1549C23—2922no—
1550C23—5841no—
1551C23—5841no—
1552C23—5841no—
1553C23—731no—
1554C23—731no—
1555C23—1461no—
1556C23—1461no—
1557C23C2×D4×D7311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—42no—
1562Q8—2922no—
1563Q8—2921no—
1564Q8—5841no—
1565Q8—5841no—
1566Q8—5841no—
1567Q8—5841no—
1568Q8—1461no—
1569Q8—1461no—
1570Q8—1461no—
1571Q8—1461no—
1572Q8#41×D7312yes—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—81no—
1578D4—81no—
1579D4—81no—
1580D4—81no—
1581D4—2922no—
1582D4—2921no—
1583D4—2922no—
1584D4—2922no—
1585D4—2921no—
1586D4—2921no—
1587D4—2922no—
1588D4—2922no—
1589D4—5841no—
1590D4—5841no—
1591D4—5841no—
1592D4—732no—
1593D4—1461no—
1594D4—1461no—
1595D4—1461no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—42no—
1605C2×C4—81no—
1606C2×C4—81no—
1607C2×C4—2922no—
1608C2×C4—2922no—
1609C2×C4—2922no—
1610C2×C4—2921no—
1611C2×C4—2921no—
1612C2×C4—2922no—
1613C2×C4—2922no—
1614C2×C4—5841no—
1615C2×C4—5841no—
1616C2×C4—5841no—
1617C2×C4—5841no—
1618C2×C4—5841no—
1619C2×C4—5841no—
1620C2×C4—5841no—
1621C2×C4—5841no—
1622C2×C4—731no—
1623C2×C4—731no—
1624C2×C4—731no—
1625C2×C4—731no—
1626C2×C4—731no—
1627C2×C4—731no—
1628C2×C4—1461no—
1629C2×C4—1461no—
1630C2×C4—1461no—
1631C2×C4—1461no—
1632C2×C4—1461no—
1633C2×C4—1461no—
1634C2×C4—1461no—
1635C2×C4—1461no—
1636C2×C4—1461no—
1637C2×C4—1461no—
1638C2×C4C2×D4×D7311yescharacteristic
1639C2×C4C2×D4×D7311yescharacteristic
1640C2×C4C2×D4×D7311yescharacteristic
1641C2×C4C2×D4×D7311yescharacteristic
1642C2×C4C2×D4×D7311yescharacteristic
1643C2×C4C24×D7311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—732no—
1649C8—1461no—
1650C8—1461no—
1651C8—1461no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—2921no—
1662C22—2921no—
1663C22—2921no—
1664C22—2921no—
1665C22—2921no—
1666C22—5844no—
1667C22—11682no—
1668C22—1461no—
1669C22—1462no—
1670C22—1461no—
1671C22—1461no—
1672C22—1461no—
1673C22—1461no—
1674C22—1461no—
1675C22C22×D4×D7311yescharacteristic
1676C4—21no—
1677C4—22no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—2921no—
1688C4—2921no—
1689C4—2921no—
1690C4—2921no—
1691C4—2921no—
1692C4—2921no—
1693C4—1461no—
1694C4—1461no—
1695C4—1461no—
1696C4—1461no—
1697C4—1461no—
1698C4—1461no—
1699C4C2×#41×D7311yescharacteristic
1700C4#1798942311yescharacteristic
1701C2—41no—
1702C2—81no—
1703C2—81no—
1704C2—2922no—
1705C2—2921no—
1706C2—2921no—
1707C2—5841no—
1708C2#2262341411yescharacteristic
1709C2#2262470911yescharacteristic
1710C2#2262471311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3126C2
socleC22×C73C23×D4
hypercenter#3126D73
hypocenterC73#61503
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3126

Complements

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

NH ≅ G/Ntype
1. #22623942C2semidirect
2. #22623869C2semidirect
3. #22622990C2semidirect
4. #22622844C2semidirect
5. #22622756C2semidirect
6. #22622749C2semidirect
7. #22622513C2semidirect
8. #22622468C2semidirect
9. #22622424C2semidirect
10. #22622196C2semidirect
11. #22622165C2semidirect
12. #22622106C2semidirect
13. #22622085C2semidirect
14. #22621965C2semidirect
15. #22621926C2semidirect
16. #22621565C2semidirect
17. #22621444C2semidirect
18. #22621421C2semidirect
19. #22620616C2semidirect
20. #22620568C2semidirect
21. #22620533C2semidirect
22. #22620195C2semidirect
23. #22620156C2semidirect
24. #22620121C2semidirect
25. #22620038C2semidirect
26. #22620028C2semidirect
27. #22618914C2semidirect
28. #22618787C2semidirect
29. #22618774C2semidirect
30. C4×#14556618C2semidirect
31. C73×#3126C2semidirect
36. Q8×Dic146C22semidirect
40. #17989309C22semidirect
42. #17989305C22semidirect
44. #17989300C22semidirect
51. Q8×C22⋊D73C22semidirect
53. #17989248C22semidirect
60. #17989209C22semidirect
62. #17989208C22semidirect
67. #17989141C22semidirect
74. #17989063C22semidirect
76. C4×#11924029C22semidirect
78. #17988997C22semidirect
79. #17988994C22semidirect
80. #17988991C22semidirect
81. #17988978C22semidirect
83. #17988968C22semidirect
84. #17988954C22semidirect
85. #17988948C22semidirect
86. #17988945C22semidirect
87. #17988945C22semidirect
88. #17988944C22semidirect
90. #17988931C22semidirect
91. #17988930C22semidirect
92. #17988927C22semidirect
93. #17988924C22semidirect
94. #17988923C22semidirect
95. #17988921C22semidirect
96. #17988913C22semidirect
99. #17988901C22semidirect
100. #17988896C22semidirect
101. #17988890C22semidirect
102. #17988883C22semidirect
103. #17988880C22semidirect
105. #17988871C22semidirect
108. #17988865C22semidirect
109. #17988865C22semidirect
110. #17988846C22semidirect
111. #17988844C22semidirect
112. #17988838C22semidirect
113. #17988834C22semidirect
115. #17988831C22semidirect
118. #17988827C22semidirect
120. #17988821C22semidirect
121. #17988814C22semidirect
122. #17988810C22semidirect
123. #17988808C22semidirect
124. #17988807C22semidirect
125. #17988807C22semidirect
127. #17988804C22semidirect
129. #17988801C22semidirect
131. #17988790C22semidirect
132. #17988752C22semidirect
134. #17988744C22semidirect
142. #17988716C22semidirect
143. #17988714C22semidirect
145. #17988697C22semidirect
146. #17988696C22semidirect
147. #17988692C22semidirect
148. #17988692C22semidirect
151. #17988689C22semidirect
152. #17988688C22semidirect
153. #17988688C22semidirect
154. #17988687C22semidirect
158. C4×Dic292C22semidirect
159. C4×#11924018C22semidirect
160. C4×#11924018C22semidirect
161. #17988678C22semidirect
164. C4×#11924016C22semidirect
167. C4×#11924013C22semidirect
169. #17988662C22semidirect
170. #17988661C22semidirect
172. #17988655C22semidirect
173. #17988655C22semidirect
174. #17988646C22semidirect
175. #17988642C22semidirect
176. #17988630C22semidirect
177. #17988626C22semidirect
178. #17988624C22semidirect
179. #17988594C22semidirect
182. #17988587C22semidirect
184. C2×#14556515C22semidirect
185. #17988544C22semidirect
186. #17988543C22semidirect
187. C4×#11924011C22semidirect
189. #519×C73C22semidirect
190. #482×C73C22semidirect
191. #482×C73C22semidirect
192. #479×C73C22semidirect
193. #479×C73C22semidirect
196. #448×C73C22semidirect
197. #448×C73C22semidirect
198. #440×C73C22semidirect
199. #440×C73C22semidirect
200. C4×SD16×C73C22semidirect
201. C4×SD16×C73C22semidirect
202. #433×C73C22semidirect
542. #11924015#41semidirect
877. #3126D73semidirect
887. C73#61503semidirect
932. #519C2×D73semidirect
957. #482C2×D73semidirect
958. #482C2×D73semidirect
961. #479C2×D73semidirect
962. #479C2×D73semidirect
1005. #448C2×D73semidirect
1006. #448C2×D73semidirect
1024. #440C2×D73semidirect
1025. #440C2×D73semidirect
1034. C4×SD16C2×D73semidirect
1035. C4×SD16C2×D73semidirect
1045. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239422
#226238692
#226229902
#226228442
#226227562
#226227492
#226225132
#226224682
#226224242
#226221962
#226221652
#226221062
#226220852
#226219652
#226219262
#226215652
#226214442
#226214212
#226206162
#226205682
#226205332
#226201952
#226201562
#226201212
#226200382
#226200282
#226189142
#226187872
#226187742
C4×#145566182
C73×#31262
#6150373